{"children":[],"children_count":0,"node_id":148615,"node_info":{"created_at":"Fri, 12 Sep 2025 22:50:06 GMT","data_type":"questions","has_data":1,"id":148615,"is_questions":1,"name":"Matematik Testi","parent_id":148610,"raw_data":"{\"id\": \"148615\", \"path\": \"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi\", \"parent\": \"148610\", \"result\": null, \"status\": true, \"answers\": \"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC\", \"contents\": [{\"id\": \"1129740\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129740_05_21_2025_17_31_33.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129740_05_21_2025_17_31_33.xaml\", \"subjects\": [{\"id\": \"1585\", \"name\": \"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar.\"}, {\"id\": \"1586\", \"name\": \"n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar.\"}, {\"id\": \"1587\", \"name\": \"S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1588\", \"name\": \"n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar.\"}, {\"id\": \"1589\", \"name\": \"Pascal \u00fc\u00e7genini a\u00e7\u0131klar.\"}, {\"id\": \"1590\", \"name\": \"Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.\"}, {\"id\": \"9917\", \"name\": \"S\u0131ralama ve Se\u00e7me\"}, {\"id\": \"1584\", \"name\": \"Olas\u0131l\u0131k kavram\u0131 ile ilgili uygulamalar yapar.\"}, {\"id\": \"9918\", \"name\": \"Basit Olaylar\u0131n Olas\u0131l\u0131klar\u0131\"}, {\"id\": \"1639\", \"name\": \"\u00d6rnek uzay, deney, \u00e7\u0131kt\u0131, bir olay\u0131n t\u00fcmleyeni, kesin olay, imk\u00e2ns\u0131z olay, ayr\u0131k olay ve ayr\u0131k olmayan olay kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"1\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129741\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129741_05_21_2025_17_44_17.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129741_05_21_2025_17_44_17.xaml\", \"subjects\": [{\"id\": \"12359\", \"name\": \"Fonksiyonlar\"}, {\"id\": \"12347\", \"name\": \"Rutin Olmayan Problemler\"}], \"order_number\": \"2\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129742\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129742_05_21_2025_17_41_30.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129742_05_21_2025_17_41_30.xaml\", \"subjects\": [{\"id\": \"12359\", \"name\": \"Fonksiyonlar\"}, {\"id\": \"9919\", \"name\": \"Fonksiyon Kavram\u0131 ve G\u00f6sterimi \"}], \"order_number\": \"3\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129743\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129743_05_17_2025_21_56_17.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129743_05_17_2025_21_56_17.xaml\", \"subjects\": [{\"id\": null, \"name\": null}, {\"id\": \"1542\", \"name\": \"Bile\u015fik \u00f6nermeyi \u00f6rneklerle a\u00e7\u0131klar, \u2018\u2018ve, veya, ya da\u2019\u2019 ba\u011fla\u00e7lar\u0131 ile kurulan bile\u015fik \u00f6nermelerin \u00f6zelliklerini ve De Morgan kurallar\u0131n\u0131 do\u011fruluk tablosu kullanarak g\u00f6sterir.\"}, {\"id\": \"1543\", \"name\": \"Ko\u015fullu \u00f6nermeyi ve iki y\u00f6nl\u00fc ko\u015fullu \u00f6nermeyi a\u00e7\u0131klar.\"}, {\"id\": \"1544\", \"name\": \"Her (\u2200) ve baz\u0131 (\u2203) niceleyicilerini \u00f6rneklerle a\u00e7\u0131klar.\"}, {\"id\": \"1546\", \"name\": \"Tan\u0131m, aksiyom, teorem ve ispat kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"4\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129744\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129744_05_17_2025_19_20_39.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129744_05_17_2025_19_20_39.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"5\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129745\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129745_05_17_2025_19_22_29.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129745_05_17_2025_19_22_29.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"6\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129746\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129746_05_17_2025_19_23_43.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129746_05_17_2025_19_23_43.xaml\", \"subjects\": [{\"id\": \"12092\", \"name\": \"Farkl\u0131 say\u0131 k\u00fcmelerinin \u00f6zellikleri hakk\u0131nda muhakeme yapabilme\"}, {\"id\": \"12093\", \"name\": \"Ger\u00e7ek say\u0131 aral\u0131klar\u0131n\u0131n g\u00f6steriminde ve aral\u0131klarla ilgili i\u015flemlerde k\u00fcme sembol ve i\u015flemlerinden yararlanabilme\"}, {\"id\": \"12094\", \"name\": \"Ger\u00e7ek say\u0131lar\u0131n i\u015flem \u00f6zelliklerini cebirsel olarak ifade etmede analojik ak\u0131l y\u00fcr\u00fctebilme\"}, {\"id\": \"12095\", \"name\": \"Ger\u00e7ek say\u0131lar\u0131n \u00fcsl\u00fc ve k\u00f6kl\u00fc g\u00f6sterimleriyle yap\u0131lan i\u015flemlere dair muhakeme yapabilme\"}], \"order_number\": \"7\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129747\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129747_05_17_2025_19_26_12.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129747_05_17_2025_19_26_12.xaml\", \"subjects\": [{\"id\": \"9921\", \"name\": \"Polinom Kavram\u0131 ve Polinomlarla \u0130\u015flemler\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1641\", \"name\": \"Bir de\u011fi\u015fkenli polinom kavram\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1642\", \"name\": \"Polinomlarla toplama, \u00e7\u0131karma, \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar.\"}], \"order_number\": \"8\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129748\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129748_05_17_2025_19_32_07.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129748_05_17_2025_19_32_07.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"9\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129749\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129749_05_17_2025_20_24_00.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129749_05_17_2025_20_24_00.xaml\", \"subjects\": [{\"id\": \"1585\", \"name\": \"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar.\"}, {\"id\": \"1586\", \"name\": \"n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar.\"}, {\"id\": \"1587\", \"name\": \"S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1588\", \"name\": \"n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar.\"}, {\"id\": \"9917\", \"name\": \"S\u0131ralama ve Se\u00e7me\"}], \"order_number\": \"10\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129750\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129750_05_17_2025_20_57_37.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129750_05_17_2025_20_57_37.xaml\", \"subjects\": [{\"id\": \"1589\", \"name\": \"Pascal \u00fc\u00e7genini a\u00e7\u0131klar.\"}, {\"id\": \"1590\", \"name\": \"Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.\"}], \"order_number\": \"11\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129751\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129751_05_17_2025_21_01_47.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129751_05_17_2025_21_01_47.xaml\", \"subjects\": [{\"id\": \"1585\", \"name\": \"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar.\"}, {\"id\": \"1586\", \"name\": \"n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar.\"}, {\"id\": \"1587\", \"name\": \"S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1588\", \"name\": \"n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar.\"}, {\"id\": \"1589\", \"name\": \"Pascal \u00fc\u00e7genini a\u00e7\u0131klar.\"}, {\"id\": \"1590\", \"name\": \"Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.\"}, {\"id\": \"9917\", \"name\": \"S\u0131ralama ve Se\u00e7me\"}], \"order_number\": \"12\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129752\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129752_05_17_2025_21_05_07.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129752_05_17_2025_21_05_07.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"13\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129753\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129753_05_17_2025_21_10_58.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129753_05_17_2025_21_10_58.xaml\", \"subjects\": [{\"id\": \"12331\", \"name\": \"\u00dcsl\u00fc Say\u0131lar\"}], \"order_number\": \"14\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129754\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129754_05_17_2025_21_13_22.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129754_05_17_2025_21_13_22.xaml\", \"subjects\": [{\"id\": \"1696\", \"name\": \"\u00dcstel Ve Logaritmik Fonksiyonlar\"}, {\"id\": \"1697\", \"name\": \"\u00dcstel Fonksiyonu a\u00e7\u0131klar.\"}, {\"id\": \"1699\", \"name\": \"Logaritma fonksiyonu ile \u00fcstel fonksiyonu ili\u015fkilendirerek problemler \u00e7\u00f6zer.\"}, {\"id\": \"1700\", \"name\": \"10 ve e taban\u0131nda logaritma fonksiyonunu tan\u0131mlayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1701\", \"name\": \"Logaritma fonksiyonunun \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}, {\"id\": \"1703\", \"name\": \"\u00dcstel, logaritmik denklemlerin ve e\u015fitsizliklerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur.\"}, {\"id\": \"1704\", \"name\": \"\u00dcstel ve logaritmik fonksiyonlar\u0131 ger\u00e7ek hayat durumlar\u0131n\u0131 modellemede kullan\u0131r.\"}], \"order_number\": \"15\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129755\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129755_05_18_2025_21_10_39.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129755_05_18_2025_21_10_39.xaml\", \"subjects\": [{\"id\": \"12356\", \"name\": \"K\u00fcmeler\"}], \"order_number\": \"16\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129756\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129756_05_17_2025_22_39_18.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129756_05_17_2025_22_39_18.xaml\", \"subjects\": [{\"id\": \"1723\", \"name\": \"Bir fonksiyonun bir noktadaki limiti, soldan limit ve sa\u011fdan limit kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1724\", \"name\": \"Limit ile ilgili \u00f6zellikleri belirterek uygulamalar yapar.\"}, {\"id\": \"1725\", \"name\": \"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.\"}], \"order_number\": \"17\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129757\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129757_05_17_2025_21_16_12.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129757_05_17_2025_21_16_12.xaml\", \"subjects\": [{\"id\": \"1723\", \"name\": \"Bir fonksiyonun bir noktadaki limiti, soldan limit ve sa\u011fdan limit kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1724\", \"name\": \"Limit ile ilgili \u00f6zellikleri belirterek uygulamalar yapar.\"}, {\"id\": \"1725\", \"name\": \"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.\"}], \"order_number\": \"18\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129758\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129758_05_17_2025_21_20_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129758_05_17_2025_21_20_34.xaml\", \"subjects\": [{\"id\": \"1733\", \"name\": \"Bir fonksiyonun mutlak maksimum ve mutlak minimum, yerel maksimum, yerel minimum noktalar\u0131n\u0131 belirler.\"}, {\"id\": \"1734\", \"name\": \"T\u00fcrevi yard\u0131m\u0131yla bir fonksiyonun grafi\u011fini \u00e7izer.\"}, {\"id\": \"1735\", \"name\": \"Maksimum ve minimum problemlerini t\u00fcrev yard\u0131m\u0131yla \u00e7\u00f6zer.\"}], \"order_number\": \"19\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129759\", \"diff\": \"2\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129759_05_17_2025_21_22_03.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129759_05_17_2025_21_22_03.xaml\", \"subjects\": [{\"id\": \"1725\", \"name\": \"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1727\", \"name\": \"T\u00fcrev kavram\u0131n\u0131 a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1728\", \"name\": \"Bir fonksiyonun bir noktada ve bir aral\u0131kta t\u00fcrevlenebilirli\u011fini de\u011ferlendirir.\"}, {\"id\": \"1729\", \"name\": \"T\u00fcrevlenebilen iki fonksiyonun toplam\u0131, fark\u0131, \u00e7arp\u0131m\u0131 ve b\u00f6l\u00fcm\u00fcn\u00fcn t\u00fcrevine ait kurallar yard\u0131m\u0131yla i\u015flemler yapar.\"}], \"order_number\": \"20\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129760\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129760_05_18_2025_22_31_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129760_05_18_2025_22_31_34.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"21\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129761\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129761_05_17_2025_21_25_41.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129761_05_17_2025_21_25_41.xaml\", \"subjects\": [{\"id\": \"1727\", \"name\": \"T\u00fcrev kavram\u0131n\u0131 a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1728\", \"name\": \"Bir fonksiyonun bir noktada ve bir aral\u0131kta t\u00fcrevlenebilirli\u011fini de\u011ferlendirir.\"}, {\"id\": \"1729\", \"name\": \"T\u00fcrevlenebilen iki fonksiyonun toplam\u0131, fark\u0131, \u00e7arp\u0131m\u0131 ve b\u00f6l\u00fcm\u00fcn\u00fcn t\u00fcrevine ait kurallar yard\u0131m\u0131yla i\u015flemler yapar.\"}, {\"id\": \"1730\", \"name\": \"\u0130ki fonksiyonun bile\u015fkesinin t\u00fcrevine ait kural\u0131 (zincir kural\u0131) olu\u015fturularak t\u00fcrev hesab\u0131 yapar.\"}, {\"id\": \"1732\", \"name\": \"Bir fonksiyonun artan veya azalan oldu\u011fu aral\u0131klar\u0131 t\u00fcrev yard\u0131m\u0131yla belirler.\"}, {\"id\": \"1733\", \"name\": \"Bir fonksiyonun mutlak maksimum ve mutlak minimum, yerel maksimum, yerel minimum noktalar\u0131n\u0131 belirler.\"}, {\"id\": \"1734\", \"name\": \"T\u00fcrevi yard\u0131m\u0131yla bir fonksiyonun grafi\u011fini \u00e7izer.\"}, {\"id\": \"1735\", \"name\": \"Maksimum ve minimum problemlerini t\u00fcrev yard\u0131m\u0131yla \u00e7\u00f6zer.\"}], \"order_number\": \"22\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129762\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129762_05_18_2025_22_43_15.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129762_05_18_2025_22_43_15.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"23\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129763\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129763_05_17_2025_22_13_59.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129763_05_17_2025_22_13_59.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"24\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129764\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.png\", \"answer\": \"B\", \"solved\": 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{\"id\": \"10006\", \"name\": \"Trigonometrik Fonksiyonlar\"}, {\"id\": \"1655\", \"name\": \"Sin\u00fcs, kosin\u00fcs, tanjant fonksiyonlar\u0131n\u0131n ters fonksiyonlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1654\", \"name\": \"Trigonometrik fonksiyon grafiklerini \u00e7izer.\"}], \"order_number\": \"30\", \"b_question_answer\": null, \"b_question_number\": null}, {\"id\": \"1129770\", \"diff\": \"2\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/25fc5516f770efa0d4c523bbad791730.png\", \"answer\": \"C\", \"solved\": 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\"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129779_05_18_2025_02_06_44.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/ad5ed3721e1b7376a89db45279ba73e7.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/ad5ed3721e1b7376a89db45279ba73e7.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129779_05_18_2025_02_06_44.xaml\", \"subjects\": [{\"id\": \"12332\", \"name\": \"\u00c7emberin Analiti\u011fi\"}], \"order_number\": \"40\", \"b_question_answer\": null, \"b_question_number\": null}]}","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},"questions":[{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154365,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129740","question_image":"https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.png","question_order":1,"question_type":"fernus","raw_question_data":"{\"id\": \"1129740\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129740_05_21_2025_17_31_33.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129740_05_21_2025_17_31_33.xaml\", \"subjects\": [{\"id\": \"1585\", \"name\": \"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar.\"}, {\"id\": \"1586\", \"name\": \"n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar.\"}, {\"id\": \"1587\", \"name\": \"S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1588\", \"name\": \"n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar.\"}, {\"id\": \"1589\", \"name\": \"Pascal \u00fc\u00e7genini a\u00e7\u0131klar.\"}, {\"id\": \"1590\", \"name\": \"Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.\"}, {\"id\": \"9917\", \"name\": \"S\u0131ralama ve Se\u00e7me\"}, {\"id\": \"1584\", \"name\": \"Olas\u0131l\u0131k kavram\u0131 ile ilgili uygulamalar yapar.\"}, {\"id\": \"9918\", \"name\": \"Basit Olaylar\u0131n Olas\u0131l\u0131klar\u0131\"}, {\"id\": \"1639\", \"name\": \"\u00d6rnek uzay, deney, \u00e7\u0131kt\u0131, bir olay\u0131n t\u00fcmleyeni, kesin olay, imk\u00e2ns\u0131z olay, ayr\u0131k olay ve ayr\u0131k olmayan olay kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"1\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129740_05_21_2025_17_31_33.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/4b805c8995f658bf42f39ab4690f6746.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129740_05_21_2025_17_31_33.xaml","subject":null,"subjects":"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar., n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar., S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer., n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar., Pascal \u00fc\u00e7genini a\u00e7\u0131klar., Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar., S\u0131ralama ve Se\u00e7me, Olas\u0131l\u0131k kavram\u0131 ile ilgili uygulamalar yapar., Basit Olaylar\u0131n Olas\u0131l\u0131klar\u0131, \u00d6rnek uzay, deney, \u00e7\u0131kt\u0131, bir olay\u0131n t\u00fcmleyeni, kesin olay, imk\u00e2ns\u0131z olay, ayr\u0131k olay ve ayr\u0131k olmayan olay kavramlar\u0131n\u0131 a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154366,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129741","question_image":"https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.png","question_order":2,"question_type":"fernus","raw_question_data":"{\"id\": \"1129741\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129741_05_21_2025_17_44_17.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129741_05_21_2025_17_44_17.xaml\", \"subjects\": [{\"id\": \"12359\", \"name\": \"Fonksiyonlar\"}, {\"id\": \"12347\", \"name\": \"Rutin Olmayan Problemler\"}], \"order_number\": \"2\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129741_05_21_2025_17_44_17.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/ca8151cf53e11f24b794f6659665a5c1.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129741_05_21_2025_17_44_17.xaml","subject":null,"subjects":"Fonksiyonlar, Rutin Olmayan Problemler","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154367,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"A","question_id":"1129742","question_image":"https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.png","question_order":3,"question_type":"fernus","raw_question_data":"{\"id\": \"1129742\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129742_05_21_2025_17_41_30.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129742_05_21_2025_17_41_30.xaml\", \"subjects\": [{\"id\": \"12359\", \"name\": \"Fonksiyonlar\"}, {\"id\": \"9919\", \"name\": \"Fonksiyon Kavram\u0131 ve G\u00f6sterimi \"}], \"order_number\": \"3\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129742_05_21_2025_17_41_30.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/0d2da6ac4d0b904125486cae2702a59e.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129742_05_21_2025_17_41_30.xaml","subject":null,"subjects":"Fonksiyonlar, Fonksiyon Kavram\u0131 ve G\u00f6sterimi","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154368,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"C","question_id":"1129743","question_image":"https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.png","question_order":4,"question_type":"fernus","raw_question_data":"{\"id\": \"1129743\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129743_05_17_2025_21_56_17.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129743_05_17_2025_21_56_17.xaml\", \"subjects\": [{\"id\": null, \"name\": null}, {\"id\": \"1542\", \"name\": \"Bile\u015fik \u00f6nermeyi \u00f6rneklerle a\u00e7\u0131klar, \u2018\u2018ve, veya, ya da\u2019\u2019 ba\u011fla\u00e7lar\u0131 ile kurulan bile\u015fik \u00f6nermelerin \u00f6zelliklerini ve De Morgan kurallar\u0131n\u0131 do\u011fruluk tablosu kullanarak g\u00f6sterir.\"}, {\"id\": \"1543\", \"name\": \"Ko\u015fullu \u00f6nermeyi ve iki y\u00f6nl\u00fc ko\u015fullu \u00f6nermeyi a\u00e7\u0131klar.\"}, {\"id\": \"1544\", \"name\": \"Her (\u2200) ve baz\u0131 (\u2203) niceleyicilerini \u00f6rneklerle a\u00e7\u0131klar.\"}, {\"id\": \"1546\", \"name\": \"Tan\u0131m, aksiyom, teorem ve ispat kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"4\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129743_05_17_2025_21_56_17.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/b933f565da852bdd226366e9d84b94e6.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129743_05_17_2025_21_56_17.xaml","subject":null,"subjects":"{'id': None, 'name': None}, Bile\u015fik \u00f6nermeyi \u00f6rneklerle a\u00e7\u0131klar, \u2018\u2018ve, veya, ya da\u2019\u2019 ba\u011fla\u00e7lar\u0131 ile kurulan bile\u015fik \u00f6nermelerin \u00f6zelliklerini ve De Morgan kurallar\u0131n\u0131 do\u011fruluk tablosu kullanarak g\u00f6sterir., Ko\u015fullu \u00f6nermeyi ve iki y\u00f6nl\u00fc ko\u015fullu \u00f6nermeyi a\u00e7\u0131klar., Her (\u2200) ve baz\u0131 (\u2203) niceleyicilerini \u00f6rneklerle a\u00e7\u0131klar., Tan\u0131m, aksiyom, teorem ve ispat kavramlar\u0131n\u0131 a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154369,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129744","question_image":"https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.png","question_order":5,"question_type":"fernus","raw_question_data":"{\"id\": \"1129744\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129744_05_17_2025_19_20_39.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129744_05_17_2025_19_20_39.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"5\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129744_05_17_2025_19_20_39.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/d9a77bf804f8ae15f153566e3c41df6c.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129744_05_17_2025_19_20_39.xaml","subject":null,"subjects":"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer., Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar., \u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar., \u0130kinci Dereceden Bir Bilinmeyenli Denklemler, \u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154370,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"A","question_id":"1129745","question_image":"https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.png","question_order":6,"question_type":"fernus","raw_question_data":"{\"id\": \"1129745\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129745_05_17_2025_19_22_29.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129745_05_17_2025_19_22_29.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"6\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129745_05_17_2025_19_22_29.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/3c1c55427fbfebf1a9afe48ad3ee1bdd.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129745_05_17_2025_19_22_29.xaml","subject":null,"subjects":"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer., Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar., \u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar., \u0130kinci Dereceden Bir Bilinmeyenli Denklemler, \u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154371,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"B","question_id":"1129746","question_image":"https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.png","question_order":7,"question_type":"fernus","raw_question_data":"{\"id\": \"1129746\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129746_05_17_2025_19_23_43.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129746_05_17_2025_19_23_43.xaml\", \"subjects\": [{\"id\": \"12092\", \"name\": \"Farkl\u0131 say\u0131 k\u00fcmelerinin \u00f6zellikleri hakk\u0131nda muhakeme yapabilme\"}, {\"id\": \"12093\", \"name\": \"Ger\u00e7ek say\u0131 aral\u0131klar\u0131n\u0131n g\u00f6steriminde ve aral\u0131klarla ilgili i\u015flemlerde k\u00fcme sembol ve i\u015flemlerinden yararlanabilme\"}, {\"id\": \"12094\", \"name\": \"Ger\u00e7ek say\u0131lar\u0131n i\u015flem \u00f6zelliklerini cebirsel olarak ifade etmede analojik ak\u0131l y\u00fcr\u00fctebilme\"}, {\"id\": \"12095\", \"name\": \"Ger\u00e7ek say\u0131lar\u0131n \u00fcsl\u00fc ve k\u00f6kl\u00fc g\u00f6sterimleriyle yap\u0131lan i\u015flemlere dair muhakeme yapabilme\"}], \"order_number\": \"7\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129746_05_17_2025_19_23_43.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/c3601bb5ddd83d45814c0cce829d963a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129746_05_17_2025_19_23_43.xaml","subject":null,"subjects":"Farkl\u0131 say\u0131 k\u00fcmelerinin \u00f6zellikleri hakk\u0131nda muhakeme yapabilme, Ger\u00e7ek say\u0131 aral\u0131klar\u0131n\u0131n g\u00f6steriminde ve aral\u0131klarla ilgili i\u015flemlerde k\u00fcme sembol ve i\u015flemlerinden yararlanabilme, Ger\u00e7ek say\u0131lar\u0131n i\u015flem \u00f6zelliklerini cebirsel olarak ifade etmede analojik ak\u0131l y\u00fcr\u00fctebilme, Ger\u00e7ek say\u0131lar\u0131n \u00fcsl\u00fc ve k\u00f6kl\u00fc g\u00f6sterimleriyle yap\u0131lan i\u015flemlere dair muhakeme yapabilme","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154372,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"A","question_id":"1129747","question_image":"https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.png","question_order":8,"question_type":"fernus","raw_question_data":"{\"id\": \"1129747\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129747_05_17_2025_19_26_12.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129747_05_17_2025_19_26_12.xaml\", \"subjects\": [{\"id\": \"9921\", \"name\": \"Polinom Kavram\u0131 ve Polinomlarla \u0130\u015flemler\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1641\", \"name\": \"Bir de\u011fi\u015fkenli polinom kavram\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1642\", \"name\": \"Polinomlarla toplama, \u00e7\u0131karma, \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar.\"}], \"order_number\": \"8\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129747_05_17_2025_19_26_12.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/31f4ced581ad843c04c948b8623f4a03.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129747_05_17_2025_19_26_12.xaml","subject":null,"subjects":"Polinom Kavram\u0131 ve Polinomlarla \u0130\u015flemler, \u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar., \u0130kinci Dereceden Bir Bilinmeyenli Denklemler, Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar., \u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar., \u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer., Bir de\u011fi\u015fkenli polinom kavram\u0131n\u0131 a\u00e7\u0131klar., Polinomlarla toplama, \u00e7\u0131karma, \u00e7arpma ve b\u00f6lme i\u015flemlerini yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154373,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129748","question_image":"https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.png","question_order":9,"question_type":"fernus","raw_question_data":"{\"id\": \"1129748\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129748_05_17_2025_19_32_07.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129748_05_17_2025_19_32_07.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"9\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129748_05_17_2025_19_32_07.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/05d62c60e48e9e99f2ecdf0c4efa7530.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129748_05_17_2025_19_32_07.xaml","subject":null,"subjects":"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer., Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar., \u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar., \u0130kinci Dereceden Bir Bilinmeyenli Denklemler, \u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154374,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129749","question_image":"https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.png","question_order":10,"question_type":"fernus","raw_question_data":"{\"id\": \"1129749\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129749_05_17_2025_20_24_00.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129749_05_17_2025_20_24_00.xaml\", \"subjects\": [{\"id\": \"1585\", \"name\": \"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar.\"}, {\"id\": \"1586\", \"name\": \"n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar.\"}, {\"id\": \"1587\", \"name\": \"S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1588\", \"name\": \"n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar.\"}, {\"id\": \"9917\", \"name\": \"S\u0131ralama ve Se\u00e7me\"}], \"order_number\": \"10\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129749_05_17_2025_20_24_00.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/601f66fb60c09f8ff0e51b53a73e934b.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129749_05_17_2025_20_24_00.xaml","subject":null,"subjects":"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar., n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar., S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer., n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar., S\u0131ralama ve Se\u00e7me","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154375,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129750","question_image":"https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.png","question_order":11,"question_type":"fernus","raw_question_data":"{\"id\": \"1129750\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129750_05_17_2025_20_57_37.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129750_05_17_2025_20_57_37.xaml\", \"subjects\": [{\"id\": \"1589\", \"name\": \"Pascal \u00fc\u00e7genini a\u00e7\u0131klar.\"}, {\"id\": \"1590\", \"name\": \"Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.\"}], \"order_number\": \"11\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129750_05_17_2025_20_57_37.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/a8ba28590086390f8e3f06cf65db265d.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129750_05_17_2025_20_57_37.xaml","subject":null,"subjects":"Pascal \u00fc\u00e7genini a\u00e7\u0131klar., Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154376,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"C","question_id":"1129751","question_image":"https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.png","question_order":12,"question_type":"fernus","raw_question_data":"{\"id\": \"1129751\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129751_05_17_2025_21_01_47.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129751_05_17_2025_21_01_47.xaml\", \"subjects\": [{\"id\": \"1585\", \"name\": \"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar.\"}, {\"id\": \"1586\", \"name\": \"n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar.\"}, {\"id\": \"1587\", \"name\": \"S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1588\", \"name\": \"n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar.\"}, {\"id\": \"1589\", \"name\": \"Pascal \u00fc\u00e7genini a\u00e7\u0131klar.\"}, {\"id\": \"1590\", \"name\": \"Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar.\"}, {\"id\": \"9917\", \"name\": \"S\u0131ralama ve Se\u00e7me\"}], \"order_number\": \"12\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129751_05_17_2025_21_01_47.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/e4a4e236c3b7b8d59439d1932aeb9685.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129751_05_17_2025_21_01_47.xaml","subject":null,"subjects":"Olaylar\u0131n ger\u00e7ekle\u015fme say\u0131s\u0131n\u0131 toplama ve \u00e7arpma y\u00f6ntemlerini kullanarak hesaplar., n \u00e7e\u015fit nesne ile olu\u015fturulabilecek r li dizili\u015flerin (perm\u00fctasyonlar\u0131n) ka\u00e7 farkl\u0131 \u015fekilde yap\u0131labilece\u011fini hesaplar., S\u0131n\u0131rl\u0131 say\u0131da tekrarlayan nesnelerin dizili\u015flerini (perm\u00fctasyonlar\u0131n\u0131) a\u00e7\u0131klayarak problemler \u00e7\u00f6zer., n elemanl\u0131 bir k\u00fcmenin r tane eleman\u0131n\u0131n ka\u00e7 farkl\u0131 \u015fekilde se\u00e7ilebilece\u011fini hesaplar., Pascal \u00fc\u00e7genini a\u00e7\u0131klar., Binom a\u00e7\u0131l\u0131m\u0131n\u0131 yapar., S\u0131ralama ve Se\u00e7me","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154377,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"B","question_id":"1129752","question_image":"https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.png","question_order":13,"question_type":"fernus","raw_question_data":"{\"id\": \"1129752\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129752_05_17_2025_21_05_07.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129752_05_17_2025_21_05_07.xaml\", \"subjects\": [{\"id\": \"1608\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer.\"}, {\"id\": \"1609\", \"name\": \"Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1610\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar.\"}, {\"id\": \"9923\", \"name\": \"\u0130kinci Dereceden Bir Bilinmeyenli Denklemler\"}, {\"id\": \"1607\", \"name\": \"\u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.\"}], \"order_number\": \"13\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129752_05_17_2025_21_05_07.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/f3f1bfea3e48bfae4dc1775313cc30de.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129752_05_17_2025_21_05_07.xaml","subject":null,"subjects":"\u0130kinci dereceden bir bilinmeyenli denklemleri \u00e7\u00f6zer., Bir karma\u015f\u0131k say\u0131n\u0131n a+ib (a,b \u2208\u211d) bi\u00e7iminde ifade edildi\u011fini a\u00e7\u0131klar., \u0130kinci dereceden bir bilinmeyenli denklemin k\u00f6kleri ile katsay\u0131lar\u0131 aras\u0131ndaki ili\u015fkileri kullanarak i\u015flemler yapar., \u0130kinci Dereceden Bir Bilinmeyenli Denklemler, \u0130kinci dereceden bir bilinmeyenli denklem kavram\u0131n\u0131 a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154378,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"C","question_id":"1129753","question_image":"https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.png","question_order":14,"question_type":"fernus","raw_question_data":"{\"id\": \"1129753\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129753_05_17_2025_21_10_58.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129753_05_17_2025_21_10_58.xaml\", \"subjects\": [{\"id\": \"12331\", \"name\": \"\u00dcsl\u00fc Say\u0131lar\"}], \"order_number\": \"14\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129753_05_17_2025_21_10_58.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/74a42e49a185b7c1b0764d26f3f5fea4.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129753_05_17_2025_21_10_58.xaml","subject":null,"subjects":"\u00dcsl\u00fc Say\u0131lar","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154379,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"C","question_id":"1129754","question_image":"https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.png","question_order":15,"question_type":"fernus","raw_question_data":"{\"id\": \"1129754\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129754_05_17_2025_21_13_22.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129754_05_17_2025_21_13_22.xaml\", \"subjects\": [{\"id\": \"1696\", \"name\": \"\u00dcstel Ve Logaritmik Fonksiyonlar\"}, {\"id\": \"1697\", \"name\": \"\u00dcstel Fonksiyonu a\u00e7\u0131klar.\"}, {\"id\": \"1699\", \"name\": \"Logaritma fonksiyonu ile \u00fcstel fonksiyonu ili\u015fkilendirerek problemler \u00e7\u00f6zer.\"}, {\"id\": \"1700\", \"name\": \"10 ve e taban\u0131nda logaritma fonksiyonunu tan\u0131mlayarak problemler \u00e7\u00f6zer.\"}, {\"id\": \"1701\", \"name\": \"Logaritma fonksiyonunun \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}, {\"id\": \"1703\", \"name\": \"\u00dcstel, logaritmik denklemlerin ve e\u015fitsizliklerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur.\"}, {\"id\": \"1704\", \"name\": \"\u00dcstel ve logaritmik fonksiyonlar\u0131 ger\u00e7ek hayat durumlar\u0131n\u0131 modellemede kullan\u0131r.\"}], \"order_number\": \"15\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129754_05_17_2025_21_13_22.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/65244605c0d51dc3a6f9c15451c8d1db.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129754_05_17_2025_21_13_22.xaml","subject":null,"subjects":"\u00dcstel Ve Logaritmik Fonksiyonlar, \u00dcstel Fonksiyonu a\u00e7\u0131klar., Logaritma fonksiyonu ile \u00fcstel fonksiyonu ili\u015fkilendirerek problemler \u00e7\u00f6zer., 10 ve e taban\u0131nda logaritma fonksiyonunu tan\u0131mlayarak problemler \u00e7\u00f6zer., Logaritma fonksiyonunun \u00f6zelliklerini kullanarak i\u015flemler yapar., \u00dcstel, logaritmik denklemlerin ve e\u015fitsizliklerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur., \u00dcstel ve logaritmik fonksiyonlar\u0131 ger\u00e7ek hayat durumlar\u0131n\u0131 modellemede kullan\u0131r.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154380,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"B","question_id":"1129755","question_image":"https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.png","question_order":16,"question_type":"fernus","raw_question_data":"{\"id\": \"1129755\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129755_05_18_2025_21_10_39.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129755_05_18_2025_21_10_39.xaml\", \"subjects\": [{\"id\": \"12356\", \"name\": \"K\u00fcmeler\"}], \"order_number\": \"16\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129755_05_18_2025_21_10_39.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/9851703c9957c59d8f32bad9392c67eb.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129755_05_18_2025_21_10_39.xaml","subject":null,"subjects":"K\u00fcmeler","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154381,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129756","question_image":"https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.png","question_order":17,"question_type":"fernus","raw_question_data":"{\"id\": \"1129756\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129756_05_17_2025_22_39_18.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129756_05_17_2025_22_39_18.xaml\", \"subjects\": [{\"id\": \"1723\", \"name\": \"Bir fonksiyonun bir noktadaki limiti, soldan limit ve sa\u011fdan limit kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1724\", \"name\": \"Limit ile ilgili \u00f6zellikleri belirterek uygulamalar yapar.\"}, {\"id\": \"1725\", \"name\": \"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.\"}], \"order_number\": \"17\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129756_05_17_2025_22_39_18.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/8228bbb2883d35b86a8613fe51698c21.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129756_05_17_2025_22_39_18.xaml","subject":null,"subjects":"Bir fonksiyonun bir noktadaki limiti, soldan limit ve sa\u011fdan limit kavramlar\u0131n\u0131 a\u00e7\u0131klar., Limit ile ilgili \u00f6zellikleri belirterek uygulamalar yapar., Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154382,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129757","question_image":"https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.png","question_order":18,"question_type":"fernus","raw_question_data":"{\"id\": \"1129757\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129757_05_17_2025_21_16_12.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129757_05_17_2025_21_16_12.xaml\", \"subjects\": [{\"id\": \"1723\", \"name\": \"Bir fonksiyonun bir noktadaki limiti, soldan limit ve sa\u011fdan limit kavramlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1724\", \"name\": \"Limit ile ilgili \u00f6zellikleri belirterek uygulamalar yapar.\"}, {\"id\": \"1725\", \"name\": \"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.\"}], \"order_number\": \"18\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129757_05_17_2025_21_16_12.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/6d5d1217b6ecbb1a48ea189d4b8d81ee.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129757_05_17_2025_21_16_12.xaml","subject":null,"subjects":"Bir fonksiyonun bir noktadaki limiti, soldan limit ve sa\u011fdan limit kavramlar\u0131n\u0131 a\u00e7\u0131klar., Limit ile ilgili \u00f6zellikleri belirterek uygulamalar yapar., Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154383,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129758","question_image":"https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.png","question_order":19,"question_type":"fernus","raw_question_data":"{\"id\": \"1129758\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129758_05_17_2025_21_20_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129758_05_17_2025_21_20_34.xaml\", \"subjects\": [{\"id\": \"1733\", \"name\": \"Bir fonksiyonun mutlak maksimum ve mutlak minimum, yerel maksimum, yerel minimum noktalar\u0131n\u0131 belirler.\"}, {\"id\": \"1734\", \"name\": \"T\u00fcrevi yard\u0131m\u0131yla bir fonksiyonun grafi\u011fini \u00e7izer.\"}, {\"id\": \"1735\", \"name\": \"Maksimum ve minimum problemlerini t\u00fcrev yard\u0131m\u0131yla \u00e7\u00f6zer.\"}], \"order_number\": \"19\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129758_05_17_2025_21_20_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/782ffbe2bec03434903b152d31d1e6d8.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129758_05_17_2025_21_20_34.xaml","subject":null,"subjects":"Bir fonksiyonun mutlak maksimum ve mutlak minimum, yerel maksimum, yerel minimum noktalar\u0131n\u0131 belirler., T\u00fcrevi yard\u0131m\u0131yla bir fonksiyonun grafi\u011fini \u00e7izer., Maksimum ve minimum problemlerini t\u00fcrev yard\u0131m\u0131yla \u00e7\u00f6zer.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154384,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129759","question_image":"https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.png","question_order":20,"question_type":"fernus","raw_question_data":"{\"id\": \"1129759\", \"diff\": \"2\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129759_05_17_2025_21_22_03.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129759_05_17_2025_21_22_03.xaml\", \"subjects\": [{\"id\": \"1725\", \"name\": \"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar.\"}, {\"id\": \"1727\", \"name\": \"T\u00fcrev kavram\u0131n\u0131 a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1728\", \"name\": \"Bir fonksiyonun bir noktada ve bir aral\u0131kta t\u00fcrevlenebilirli\u011fini de\u011ferlendirir.\"}, {\"id\": \"1729\", \"name\": \"T\u00fcrevlenebilen iki fonksiyonun toplam\u0131, fark\u0131, \u00e7arp\u0131m\u0131 ve b\u00f6l\u00fcm\u00fcn\u00fcn t\u00fcrevine ait kurallar yard\u0131m\u0131yla i\u015flemler yapar.\"}], \"order_number\": \"20\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129759_05_17_2025_21_22_03.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/0585544980715a77848d7b46f8fd56f9.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129759_05_17_2025_21_22_03.xaml","subject":null,"subjects":"Bir fonksiyonun bir noktadaki s\u00fcreklili\u011fini a\u00e7\u0131klar., T\u00fcrev kavram\u0131n\u0131 a\u00e7\u0131klayarak i\u015flemler yapar., Bir fonksiyonun bir noktada ve bir aral\u0131kta t\u00fcrevlenebilirli\u011fini de\u011ferlendirir., T\u00fcrevlenebilen iki fonksiyonun toplam\u0131, fark\u0131, \u00e7arp\u0131m\u0131 ve b\u00f6l\u00fcm\u00fcn\u00fcn t\u00fcrevine ait kurallar yard\u0131m\u0131yla i\u015flemler yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154385,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"A","question_id":"1129760","question_image":"https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.png","question_order":21,"question_type":"fernus","raw_question_data":"{\"id\": \"1129760\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129760_05_18_2025_22_31_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129760_05_18_2025_22_31_34.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"21\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129760_05_18_2025_22_31_34.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/4182e2f1ca5812969e0048c37353df2a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129760_05_18_2025_22_31_34.xaml","subject":null,"subjects":"Belirli integral ile alan hesab\u0131 yapar., \u0130ntegral, Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur., De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar., Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar., Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar., Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154386,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129761","question_image":"https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.png","question_order":22,"question_type":"fernus","raw_question_data":"{\"id\": \"1129761\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129761_05_17_2025_21_25_41.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129761_05_17_2025_21_25_41.xaml\", \"subjects\": [{\"id\": \"1727\", \"name\": \"T\u00fcrev kavram\u0131n\u0131 a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1728\", \"name\": \"Bir fonksiyonun bir noktada ve bir aral\u0131kta t\u00fcrevlenebilirli\u011fini de\u011ferlendirir.\"}, {\"id\": \"1729\", \"name\": \"T\u00fcrevlenebilen iki fonksiyonun toplam\u0131, fark\u0131, \u00e7arp\u0131m\u0131 ve b\u00f6l\u00fcm\u00fcn\u00fcn t\u00fcrevine ait kurallar yard\u0131m\u0131yla i\u015flemler yapar.\"}, {\"id\": \"1730\", \"name\": \"\u0130ki fonksiyonun bile\u015fkesinin t\u00fcrevine ait kural\u0131 (zincir kural\u0131) olu\u015fturularak t\u00fcrev hesab\u0131 yapar.\"}, {\"id\": \"1732\", \"name\": \"Bir fonksiyonun artan veya azalan oldu\u011fu aral\u0131klar\u0131 t\u00fcrev yard\u0131m\u0131yla belirler.\"}, {\"id\": \"1733\", \"name\": \"Bir fonksiyonun mutlak maksimum ve mutlak minimum, yerel maksimum, yerel minimum noktalar\u0131n\u0131 belirler.\"}, {\"id\": \"1734\", \"name\": \"T\u00fcrevi yard\u0131m\u0131yla bir fonksiyonun grafi\u011fini \u00e7izer.\"}, {\"id\": \"1735\", \"name\": \"Maksimum ve minimum problemlerini t\u00fcrev yard\u0131m\u0131yla \u00e7\u00f6zer.\"}], \"order_number\": \"22\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129761_05_17_2025_21_25_41.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/cac111d4bf851c5e3f5244473d4f60b4.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129761_05_17_2025_21_25_41.xaml","subject":null,"subjects":"T\u00fcrev kavram\u0131n\u0131 a\u00e7\u0131klayarak i\u015flemler yapar., Bir fonksiyonun bir noktada ve bir aral\u0131kta t\u00fcrevlenebilirli\u011fini de\u011ferlendirir., T\u00fcrevlenebilen iki fonksiyonun toplam\u0131, fark\u0131, \u00e7arp\u0131m\u0131 ve b\u00f6l\u00fcm\u00fcn\u00fcn t\u00fcrevine ait kurallar yard\u0131m\u0131yla i\u015flemler yapar., \u0130ki fonksiyonun bile\u015fkesinin t\u00fcrevine ait kural\u0131 (zincir kural\u0131) olu\u015fturularak t\u00fcrev hesab\u0131 yapar., Bir fonksiyonun artan veya azalan oldu\u011fu aral\u0131klar\u0131 t\u00fcrev yard\u0131m\u0131yla belirler., Bir fonksiyonun mutlak maksimum ve mutlak minimum, yerel maksimum, yerel minimum noktalar\u0131n\u0131 belirler., T\u00fcrevi yard\u0131m\u0131yla bir fonksiyonun grafi\u011fini \u00e7izer., Maksimum ve minimum problemlerini t\u00fcrev yard\u0131m\u0131yla \u00e7\u00f6zer.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154387,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"B","question_id":"1129762","question_image":"https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.png","question_order":23,"question_type":"fernus","raw_question_data":"{\"id\": \"1129762\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129762_05_18_2025_22_43_15.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129762_05_18_2025_22_43_15.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"23\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129762_05_18_2025_22_43_15.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/55ff8067aecf5c7880ab4a638a4b1fe8.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129762_05_18_2025_22_43_15.xaml","subject":null,"subjects":"Belirli integral ile alan hesab\u0131 yapar., \u0130ntegral, Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur., De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar., Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar., Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar., Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154388,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"A","question_id":"1129763","question_image":"https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.png","question_order":24,"question_type":"fernus","raw_question_data":"{\"id\": \"1129763\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129763_05_17_2025_22_13_59.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129763_05_17_2025_22_13_59.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"24\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129763_05_17_2025_22_13_59.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/2d279e169c6586ffd5ab76171d307854.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129763_05_17_2025_22_13_59.xaml","subject":null,"subjects":"Belirli integral ile alan hesab\u0131 yapar., \u0130ntegral, Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur., De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar., Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar., Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar., Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154389,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"B","question_id":"1129764","question_image":"https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.png","question_order":25,"question_type":"fernus","raw_question_data":"{\"id\": \"1129764\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.png\", \"answer\": \"B\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129764_05_17_2025_22_17_31.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129764_05_17_2025_22_17_31.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"25\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129764_05_17_2025_22_17_31.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/b1f54f195e97a0ab77e49617f55a8189.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129764_05_17_2025_22_17_31.xaml","subject":null,"subjects":"Belirli integral ile alan hesab\u0131 yapar., \u0130ntegral, Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur., De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar., Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar., Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar., Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154390,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129765","question_image":"https://limit.frns.in/uploads/assets/questions/148615/af5f4d7c0910d20a27deae191ae5aa4a.png","question_order":26,"question_type":"fernus","raw_question_data":"{\"id\": \"1129765\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/af5f4d7c0910d20a27deae191ae5aa4a.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129765_05_18_2025_22_22_08.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/af5f4d7c0910d20a27deae191ae5aa4a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/af5f4d7c0910d20a27deae191ae5aa4a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129765_05_18_2025_22_22_08.xaml\", \"subjects\": [{\"id\": \"1744\", \"name\": \"Belirli integral ile alan hesab\u0131 yapar.\"}, {\"id\": \"10229\", \"name\": \"\u0130ntegral\"}, {\"id\": \"1738\", \"name\": \"Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur.\"}, {\"id\": \"1739\", \"name\": \"De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar.\"}, {\"id\": \"1741\", \"name\": \"Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar.\"}, {\"id\": \"1742\", \"name\": \"Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar.\"}, {\"id\": \"1743\", \"name\": \"Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.\"}], \"order_number\": \"26\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129765_05_18_2025_22_22_08.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/af5f4d7c0910d20a27deae191ae5aa4a.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/af5f4d7c0910d20a27deae191ae5aa4a.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129765_05_18_2025_22_22_08.xaml","subject":null,"subjects":"Belirli integral ile alan hesab\u0131 yapar., \u0130ntegral, Bir fonksiyonun belirsiz integralini a\u00e7\u0131klayarak integral alma kurallar\u0131n\u0131 olu\u015fturur., De\u011fi\u015fken de\u011fi\u015ftirme yoluyla integral alma i\u015flemleri yapar., Bir fonksiyonun grafi\u011fi ile x ekseni aras\u0131nda kalan s\u0131n\u0131rl\u0131 b\u00f6lgenin alan\u0131n\u0131 Riemann toplam\u0131 yard\u0131m\u0131yla yakla\u015f\u0131k olarak hesaplar., Bir fonksiyonun belirli ve belirsiz integralleri aras\u0131ndaki ili\u015fkiyi a\u00e7\u0131klayarak i\u015flemler yapar., Belirli integralin \u00f6zelliklerini kullanarak i\u015flemler yapar.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154391,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"D","question_id":"1129766","question_image":"https://limit.frns.in/uploads/assets/questions/148615/7db1ef7571df4213ca72373e02d9c76d.png","question_order":27,"question_type":"fernus","raw_question_data":"{\"id\": \"1129766\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/7db1ef7571df4213ca72373e02d9c76d.png\", \"answer\": \"D\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129766_05_18_2025_21_21_58.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/7db1ef7571df4213ca72373e02d9c76d.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/7db1ef7571df4213ca72373e02d9c76d.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129766_05_18_2025_21_21_58.xaml\", \"subjects\": [{\"id\": \"1712\", \"name\": \"Trigonometri\"}, {\"id\": \"1713\", \"name\": \"\u0130ki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131n\u0131n ve fark\u0131n\u0131n trigonometrik de\u011ferlerine ait form\u00fclleri olu\u015fturarak i\u015flemler yapar.\"}, {\"id\": \"1714\", \"name\": \"\u0130ki kat a\u00e7\u0131 form\u00fcllerini olu\u015fturarak i\u015flemler yapar.\"}, {\"id\": \"10028\", \"name\": \"Dik \u00fc\u00e7gende trigonometrik oranlarla ilgili problemler \u00e7\u00f6zer\"}, {\"id\": \"1716\", \"name\": \"Trigonometrik denklemlerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur.\"}], \"order_number\": \"27\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129766_05_18_2025_21_21_58.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/7db1ef7571df4213ca72373e02d9c76d.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/7db1ef7571df4213ca72373e02d9c76d.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129766_05_18_2025_21_21_58.xaml","subject":null,"subjects":"Trigonometri, \u0130ki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131n\u0131n ve fark\u0131n\u0131n trigonometrik de\u011ferlerine ait form\u00fclleri olu\u015fturarak i\u015flemler yapar., \u0130ki kat a\u00e7\u0131 form\u00fcllerini olu\u015fturarak i\u015flemler yapar., Dik \u00fc\u00e7gende trigonometrik oranlarla ilgili problemler \u00e7\u00f6zer, Trigonometrik denklemlerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154392,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129767","question_image":"https://limit.frns.in/uploads/assets/questions/148615/73b61cd4780d9408f477483cd6693619.png","question_order":28,"question_type":"fernus","raw_question_data":"{\"id\": \"1129767\", \"diff\": \"3\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/73b61cd4780d9408f477483cd6693619.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129767_05_17_2025_21_31_00.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/73b61cd4780d9408f477483cd6693619.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/73b61cd4780d9408f477483cd6693619.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129767_05_17_2025_21_31_00.xaml\", \"subjects\": [{\"id\": \"1650\", \"name\": \"Trigonometrik fonksiyonlar\u0131 birim \u00e7ember yard\u0131m\u0131yla a\u00e7\u0131klar.\"}, {\"id\": \"1652\", \"name\": \"Kosin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer.\"}, {\"id\": \"1653\", \"name\": \"Sin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer.\"}, {\"id\": \"10006\", \"name\": \"Trigonometrik Fonksiyonlar\"}, {\"id\": \"1655\", \"name\": \"Sin\u00fcs, kosin\u00fcs, tanjant fonksiyonlar\u0131n\u0131n ters fonksiyonlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1654\", \"name\": \"Trigonometrik fonksiyon grafiklerini \u00e7izer.\"}], \"order_number\": \"28\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129767_05_17_2025_21_31_00.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/73b61cd4780d9408f477483cd6693619.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/73b61cd4780d9408f477483cd6693619.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129767_05_17_2025_21_31_00.xaml","subject":null,"subjects":"Trigonometrik fonksiyonlar\u0131 birim \u00e7ember yard\u0131m\u0131yla a\u00e7\u0131klar., Kosin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer., Sin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer., Trigonometrik Fonksiyonlar, Sin\u00fcs, kosin\u00fcs, tanjant fonksiyonlar\u0131n\u0131n ters fonksiyonlar\u0131n\u0131 a\u00e7\u0131klar., Trigonometrik fonksiyon grafiklerini \u00e7izer.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154393,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"A","question_id":"1129768","question_image":"https://limit.frns.in/uploads/assets/questions/148615/99e16690667ee03d2a4f715358446afb.png","question_order":29,"question_type":"fernus","raw_question_data":"{\"id\": \"1129768\", \"diff\": \"4\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/99e16690667ee03d2a4f715358446afb.png\", \"answer\": \"A\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129768_05_18_2025_21_43_27.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/99e16690667ee03d2a4f715358446afb.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/99e16690667ee03d2a4f715358446afb.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129768_05_18_2025_21_43_27.xaml\", \"subjects\": [{\"id\": \"1712\", \"name\": \"Trigonometri\"}, {\"id\": \"1713\", \"name\": \"\u0130ki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131n\u0131n ve fark\u0131n\u0131n trigonometrik de\u011ferlerine ait form\u00fclleri olu\u015fturarak i\u015flemler yapar.\"}, {\"id\": \"1714\", \"name\": \"\u0130ki kat a\u00e7\u0131 form\u00fcllerini olu\u015fturarak i\u015flemler yapar.\"}, {\"id\": \"1716\", \"name\": \"Trigonometrik denklemlerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur.\"}], \"order_number\": \"29\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129768_05_18_2025_21_43_27.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/99e16690667ee03d2a4f715358446afb.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/99e16690667ee03d2a4f715358446afb.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129768_05_18_2025_21_43_27.xaml","subject":null,"subjects":"Trigonometri, \u0130ki a\u00e7\u0131n\u0131n \u00f6l\u00e7\u00fcleri toplam\u0131n\u0131n ve fark\u0131n\u0131n trigonometrik de\u011ferlerine ait form\u00fclleri olu\u015fturarak i\u015flemler yapar., \u0130ki kat a\u00e7\u0131 form\u00fcllerini olu\u015fturarak i\u015flemler yapar., Trigonometrik denklemlerin \u00e7\u00f6z\u00fcm k\u00fcmelerini bulur.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154394,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"E","question_id":"1129769","question_image":"https://limit.frns.in/uploads/assets/questions/148615/7580395b08ac1af2d2869128fabfee20.png","question_order":30,"question_type":"fernus","raw_question_data":"{\"id\": \"1129769\", \"diff\": \"5\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/7580395b08ac1af2d2869128fabfee20.png\", \"answer\": \"E\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129769_05_17_2025_21_45_27.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/7580395b08ac1af2d2869128fabfee20.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/7580395b08ac1af2d2869128fabfee20.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129769_05_17_2025_21_45_27.xaml\", \"subjects\": [{\"id\": \"1650\", \"name\": \"Trigonometrik fonksiyonlar\u0131 birim \u00e7ember yard\u0131m\u0131yla a\u00e7\u0131klar.\"}, {\"id\": \"1652\", \"name\": \"Kosin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer.\"}, {\"id\": \"1653\", \"name\": \"Sin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer.\"}, {\"id\": \"10006\", \"name\": \"Trigonometrik Fonksiyonlar\"}, {\"id\": \"1655\", \"name\": \"Sin\u00fcs, kosin\u00fcs, tanjant fonksiyonlar\u0131n\u0131n ters fonksiyonlar\u0131n\u0131 a\u00e7\u0131klar.\"}, {\"id\": \"1654\", \"name\": \"Trigonometrik fonksiyon grafiklerini \u00e7izer.\"}], \"order_number\": \"30\", \"b_question_answer\": null, \"b_question_number\": null}","solved_url":"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129769_05_17_2025_21_45_27.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/7580395b08ac1af2d2869128fabfee20.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/7580395b08ac1af2d2869128fabfee20.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129769_05_17_2025_21_45_27.xaml","subject":null,"subjects":"Trigonometrik fonksiyonlar\u0131 birim \u00e7ember yard\u0131m\u0131yla a\u00e7\u0131klar., Kosin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer., Sin\u00fcs teoremiyle ilgili problemler \u00e7\u00f6zer., Trigonometrik Fonksiyonlar, Sin\u00fcs, kosin\u00fcs, tanjant fonksiyonlar\u0131n\u0131n ters fonksiyonlar\u0131n\u0131 a\u00e7\u0131klar., Trigonometrik fonksiyon grafiklerini \u00e7izer.","updated_at":"Fri, 12 Sep 2025 22:50:09 GMT"},{"achievement":null,"answers":"DEACDABADDECBCCBDEDEAEBABEDEAECCBECCDCBC","book":null,"created_at":"Fri, 12 Sep 2025 22:50:09 GMT","id":1154395,"level":null,"node_id":148615,"path":"Limit Yay\u0131nlar\u0131 Kurumsal Deneme S\u0131navlar\u0131 (2024-2025 D\u00f6nemi)/Limit YKS (TYT-AYT) Kurumsal Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 [LEK] TYT-AYT Deneme S\u0131navlar\u0131/Limit E\u011fitim Kurumlar\u0131 (LEK) TYT-AYT Deneme S\u0131nav\u0131-8/Limit LEK AYT Kurumsal Deneme S\u0131nav\u0131-8/Matematik Testi","question_answer":"C","question_id":"1129770","question_image":"https://limit.frns.in/uploads/assets/questions/148615/25fc5516f770efa0d4c523bbad791730.png","question_order":31,"question_type":"fernus","raw_question_data":"{\"id\": \"1129770\", \"diff\": \"2\", \"name\": \"Soru\", \"type\": \"fernus\", \"image\": \"https://limit.frns.in/uploads/assets/questions/148615/25fc5516f770efa0d4c523bbad791730.png\", \"answer\": \"C\", \"solved\": \"https://limit.frns.in/soru_cozum/web_player/?mp3=https://limit.frns.in/uploads/assets/solution/cozum_1129770_05_18_2025_01_49_37.mp3&pdf=https://limit.frns.in/uploads/assets/questions/148615/25fc5516f770efa0d4c523bbad791730.pdf&swf=https://limit.frns.in/uploads/assets/questions/148615/25fc5516f770efa0d4c523bbad791730.swf&xaml=https://limit.frns.in/uploads/assets/solution/cozum_1129770_05_18_2025_01_49_37.xaml\", \"subjects\": [{\"id\": \"12318\", \"name\": \"Dikd\u00f6rtgen\"}], \"order_number\": \"31\", \"b_question_answer\": null, \"b_question_number\": 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