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Matematik, Türkçe, Sosyal Bilimler ve Fen Bilimleri branşlarında toplam 83 deneme (matematik 14, Türkçe 15, Sosyal Bilimler 24, Fen Bilimleri 24) bulunmaktadır. Her deneme kolay, orta ve zor olarak tanımlanmış olup, her denemenin arkasında konu kazanım tablosu ve cevap anahtarı bulunmaktadır. Konuşmacı, denemelerin nasıl kullanılabileceğini ve sınav formatında nasıl çözülebileceğini de açıklamaktadır."]},"endTime":140,"title":"Yanıt Yayınları Sprint Deneme Serisi İncelemesi","beginTime":0}],"fullResult":[{"index":0,"title":"Yanıt Yayınları'nın Sprint Deneme Serisi Tanıtımı","list":{"type":"unordered","items":["Üniversite sınavı yaklaşıyor ve bu sınava girmeden önce bol bol deneme çözmek gerekiyor.","Yanıt Yayınları'nın \"Sprint Denemeler\" adı verilen güncel deneme serisi tanıtılıyor.","Matematik branşında 14 deneme, Türkçe'de 15 deneme, sosyal bilimlerde 24 deneme ve fen bilimlerinde 24 deneme bulunuyor."]},"beginTime":0,"endTime":16,"href":"/video/preview/409198549757189888?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=0&ask_summarization=1"},{"index":1,"title":"Deneme Serisinin Yapısı","list":{"type":"unordered","items":["Denemeler kendi içinde kolay, orta ve zor olarak tanımlanmış.","Her denemenin arkasında konu kazanım tablosu ve doğru yanlış işaretleme alanları bulunuyor.","Denemeler koparılabilir yapıda olduğu için sınav şeklinde yapılabilir."]},"beginTime":16,"endTime":112,"href":"/video/preview/409198549757189888?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=16&ask_summarization=1"},{"index":2,"title":"Serinin İçeriği","list":{"type":"unordered","items":["Kitabın arka kapağında TYT serisinin tüm ürünleri yer alıyor: matematik, Türkçe, fen bilimleri ve sosyal.","AYT serisinin de altı kitabı bulunuyor: matematik, Türk dili, edebiyatı, fen bilimleri, fizik, kimya ve 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İlk bölümde ses dalgaları, elektrik devreleri, sıcaklık değişimi, doğrusal hareket ve kılcallık gibi fizik soruları çözülmekte, ikinci bölümde çözelti özellikleri, nötrleşme tepkimeleri, elementlerin özellikleri ve mol hesaplamaları gibi kimya soruları ele alınmakta, son bölümde ise molekül, kök, iyon kavramları, mitoz ve mayoz bölünmesi, bitki hücrelerinin hipertonik ortamda davranışları gibi biyoloji soruları açıklanmaktadır.","Her soru için eğitmen, problemi analiz ederek doğru cevaba ulaşma sürecini detaylı şekilde açıklamakta, yanlış seçeneklerin neden yanlış olduğu da belirtilmektedir. Video, bu derslerde karşılaşılan soru tiplerini ve çözüm yöntemlerini öğrenmek isteyen öğrenciler için faydalı bir kaynak niteliğindedir."]},"endTime":1952,"title":"Fizik, Kimya ve Biyoloji Soru Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Ses Dalgaları","list":{"type":"unordered","items":["Eyüp gitarının bir teline vurarak ses dalgaları üretmiş ve sonra değişiklik yaparak yeni ses dalgaları üretmiştir.","Değişiklik sonucunda ses dalgalarının frekansı artmış, periyodu azalmış ve dalga boyu azalmıştır.","Aynı ortamda olduğu için ses dalgalarının sürati değişmemiştir."]},"beginTime":3,"endTime":74,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=3&ask_summarization=1"},{"index":1,"title":"Elektrik Devreleri","list":{"type":"unordered","items":["Bir lambaya seri ve düz bağlı üreteç sayısı artırılırsa üreteçlerin tükenme süresi azalır.","Bir lambaya paralel bağlı üreteç sayısı arttırılırsa lambanın üzerindeki gerilim değişmez.","Bir lambaya seri ve düz bağlı üreteç sayısı artırılırsa lambanın parlaklığı artar."]},"beginTime":74,"endTime":246,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=74&ask_summarization=1"},{"index":2,"title":"Sıcaklık Değişimi ve Uzunluk","list":{"type":"unordered","items":["Metal levhanın sıcaklığı delta t kadar azaltıldığında, kenar uzunlukları da azalır.","Sıcaklık değişimi aynı olduğunda, ilk boyu büyük olanın değişimi de fazladır.","X'in y'ye oranı değişmez çünkü her iki uzunluk da aynı oranda küçülür."]},"beginTime":246,"endTime":346,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=246&ask_summarization=1"},{"index":3,"title":"Doğrusal Hareket","list":{"type":"unordered","items":["X aracı her 100 metrelik yolu 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Olayı","list":{"type":"unordered","items":["Ağaçların kökleri yardımıyla emdikleri su, kılcal kanalları vasıtasıyla kılcallık olayı sayesinde en üst dallara kadar çıkar.","Etkin kuvvet adezyon kuvvetidir.","Bir ucu suya dokunulan kağıt peçetenin tümünün ıslanması kılcallıkla ilgili bir durumdur."]},"beginTime":551,"endTime":610,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=551&ask_summarization=1"},{"index":6,"title":"Çözelti Özellikleri ve Değişimleri","list":{"type":"unordered","items":["İki ayrı kapta bulunan aynı sıcaklıktaki X tuzu çözeltilerinden bir kısmı sabit sıcaklıkta ikinci kaba aktarılıyor.","Birinci kaptaki çözeltinin kütlesi azalırken, ikinci kaptaki çözeltinin kütlesi artıyor.","Çözeltinin derişimi birinci kapta değişmezken, ikinci kapta artıyor ve bu nedenle kaynama başlama süresi birinci kapta azalırken, ikinci kapta artıyor."]},"beginTime":619,"endTime":745,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=619&ask_summarization=1"},{"index":7,"title":"Nötrleşme Tepkimesi","list":{"type":"unordered","items":["HCl çözeltisi bulunan kaba kalsiyum hidroksit çözeltisi eklenerek nötrleşme tepkimesi gerçekleştiriliyor.","Nötrleşme tepkimesinde Ca(OH)₂ + 2HCl → CaCl₂ + 2H₂O denklemi gerçekleşiyor.","Nötrleşme tepkimesinde seyirci iyonları kalsiyum ve klor iyonlarıdır."]},"beginTime":745,"endTime":903,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=745&ask_summarization=1"},{"index":8,"title":"Element Özellikleri","list":{"type":"unordered","items":["Elementler tek cins atom içerir ve saftır, homojen yapıdadır.","Elementler oda koşullarında tümü atomik yapılı değildir, ametal olanlar moleküler yapılı 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0,00°C'dir.","Erime ve kaynama sırasında alınan ısı, hal değişimi için kullanılmıştır.","Erime sıcaklığında tamamen erimesi için, kaynama sıcaklığında tamamen buharlaşma için alınan ısıya oranı 3/4'tür."]},"beginTime":1087,"endTime":1157,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1087&ask_summarization=1"},{"index":11,"title":"İyonlaşma Enerjisi","list":{"type":"unordered","items":["X, Y ve Z elementleri için birinci iyonlaşma enerjileri X > Y > Z'dir.","Aynı periyotlu olan X, Y, Z elementlerinin grup numaraları 4A, 3A ve 2A olamaz.","Periyodik cetvelde soldan sağa doğru gidildikçe genellikle iyonlaşma enerjisi artar, ancak 2A > 3A ve 5A > 6A gibi özel durumlar vardır."]},"beginTime":1157,"endTime":1285,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1157&ask_summarization=1"},{"index":12,"title":"Molekül ve Kök Kavramları","list":{"type":"unordered","items":["Molekül, kovalent bağlı atom grubu veya birden çok atomun oluşturduğu eksi ya da artı yüklü atom grubudur.","Kök, birden çok atomdan meydana gelmiş olan artı yüklü atom grubudur.","Moleküler yapılı bileşik, bir molekül olup kök değildir."]},"beginTime":1289,"endTime":1364,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1289&ask_summarization=1"},{"index":13,"title":"Mitoz ve Mayoz Bölünme Özellikleri","list":{"type":"unordered","items":["Homolog kromozomların ekvatoral düzlemde karşılıklı gelecek şekilde rastgele dizilmesi mayoz bölünmenin metafaz bir evresinde gerçekleşir.","Bölünme sonucu oluşan yeni hücrelerin ana hücrelerin yarısı kadar DNA'ya sahip olması mayoz bölünmeye aittir.","Kromozom sayısının bir evrede geçici olarak iki katına çıkması mitoz ve mayozda ortak bir özellik olur."]},"beginTime":1364,"endTime":1499,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1364&ask_summarization=1"},{"index":14,"title":"Hipertonik Ortamda Hücre Davranışı","list":{"type":"unordered","items":["Hipertonik ortama konan bir hücrede koful su kaybederek küçülür ve hücre zarı ile hücre çeperi arasındaki mesafe artar.","Sitoplazma sıvısının yoğunluğu artar çünkü hücre su kaybetmiştir.","Hücre zarı hücre çeperinden uzaklaşır ve hücrenin turgor basıncı azalır, ancak osmotik basıncı artar."]},"beginTime":1499,"endTime":1613,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1499&ask_summarization=1"},{"index":15,"title":"Biyolojik Çeşitlilik Kavramları","list":{"type":"unordered","items":["Aynı türün bireyleri arasındaki genetik farklılıkları ifade eden kavram genetik çeşitliliğidir.","Ekosistemde bulunan farklı türlerin zenginliğini ifade eden kavram ekosistem çeşitliliğidir.","Ekosistemde farklı işlevleri olan türleri kapsayan kavram ekolojik niş çeşitliliğidir."]},"beginTime":1613,"endTime":1660,"href":"/video/preview/3036756414500648939?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1613&ask_summarization=1"},{"index":16,"title":"Esterleşme Reaksiyonu","list":{"type":"unordered","items":["Esterleşme reaksiyonunda monomerler arasında ester bağları kurulur.","Trigliserit (nötral yağlar) üç yağ asidi 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yayınları mayıs 2024 Türkiye geneli deneme sınavı 6 ayt matematik video çözümleri Kurumdan ve https://olcme.anindasonuc.com adresinden sonuçlarınızı alabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/474929/2a1a4f7d4d2b72d35010cad8bc2df4f0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vVISSgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=videoid:14038536466339100023","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan kapsamlı bir problem çözüm dersidir. Eğitmen, çeşitli matematik konularındaki problemleri adım adım çözmektedir.","Videoda toplam 20 farklı matematik problemi ele alınmaktadır. Problemler aritmetik diziler, polinomlar, fonksiyonlar, türevler, integral hesaplamaları, trigonometri, geometri ve analitik geometri gibi farklı matematik dallarını kapsamaktadır. Her problem için gerekli formüller uygulanarak detaylı çözüm adımları gösterilmekte ve doğru cevaplar belirtilmektedir.","Video, matematik sınavlarına hazırlanan öğrenciler için faydalı olabilecek geniş bir yelpazede problem çözümleri sunmaktadır. Çözümlerde diskriminant hesaplamaları, kombinasyon hesaplamaları, alan hesaplamaları, trigonometrik fonksiyonların özellikleri ve geometrik şekillerin özelliklerinin kullanımı gibi çeşitli matematiksel teknikler kullanılmaktadır."]},"endTime":4015,"title":"Matematik Problemleri Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Toplam İşlemi ve Çarpım Problemi","list":{"type":"unordered","items":["Verilen toplam işlemi, 1'den başlayarak a-1'e kadar toplamı, a-1'den başlayarak 1'e kadar toplamı ve ortadaki a sayısının toplamı olarak ifade edilir.","Toplam işleminin sonucu a² olur ve paydasında m-n=15 eşitliği vardır.","Çarpımının en büyük değeri, sayıların birbirine en yakın olduğu zaman oluşur; 8 ile 7 verildiğinde toplamları 15, çarpımları 56 olur."]},"beginTime":2,"endTime":68,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2&ask_summarization=1"},{"index":1,"title":"Asal Bölenler Problemi","list":{"type":"unordered","items":["Beş farklı sayı (k, l, m, n, p) için, asal bölenlerinin toplamı eşit olan iki basamaklı doğal sayılar incelenir.","Leğenin asal bölenleri 10 olabilir, bu durumda 2, 3 ve 5 veya 3 ve 7 olabilir.","Oluşabilecek iki basamaklı sayılar: 30, 60, 90, 21 ve 63'tür."]},"beginTime":68,"endTime":124,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=68&ask_summarization=1"},{"index":2,"title":"Sayı Değerleri Problemi","list":{"type":"unordered","items":["k/n ve p/n birer tam sayı olacak şekilde en küçük değerler için n=21 olamaz çünkü k ve p için aynı değer kullanılamaz.","n=30 alındığında, k=60 ve p=90 olur.","l, m, n sayılarının toplamı 30+21+63=114 olur."]},"beginTime":124,"endTime":226,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=124&ask_summarization=1"},{"index":3,"title":"Asal Sayılar ve Denge Problemi","list":{"type":"unordered","items":["a, b, c, d birbirinden farklı asal sayılar olmak üzere, a=b×c+d şeklinde yazılabilir.","a×b çarpımı tek sayı olurken, c+d toplamı çift sayı olur.","Birbirinden farklı altı tane rakam kullanıldığında, a sayısının alabileceği en küçük değer 11'dir."]},"beginTime":226,"endTime":326,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=226&ask_summarization=1"},{"index":4,"title":"Logaritma Problemi","list":{"type":"unordered","items":["İçerisinde a pozitif gerçek sayısını yazan çokgen, kenar sayısı içerdeki sayı şeklinde logaritma olarak ifade edilir.","Kare ve üçgen kombinasyonunda log₃(log₄(x))=1 eşitliği çözülür ve x=64 olarak bulunur.","Sekizgen içinde 64 yazıldığında log₈(64)=2 ve kare içinde log₄(2)=1/2 olarak sonuç bulunur."]},"beginTime":326,"endTime":390,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=326&ask_summarization=1"},{"index":5,"title":"Parabol Denklemleri","list":{"type":"unordered","items":["y = x² denklemi orijinden geçen bir parabol grafiğini verir.","Parabol grafiği a birim sağa ve b birim yukarı kaydırıldığında, tepe noktası (a,b) olan f(x) = (x-a)² + b denklemi elde edilir.","Parabol grafiği a birim aşağı ve b birim sola kaydırıldığında, tepe noktası (-b,-a) olan g(x) = (x+b)² - a denklemi elde edilir."]},"beginTime":395,"endTime":466,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=395&ask_summarization=1"},{"index":6,"title":"Parabol Denklemlerinin Çözümü","list":{"type":"unordered","items":["Bir kökü 5 olan parabol denklemlerinde f(5) = g(5) eşitliği sağlanır.","Denklemlerden elde edilen a+b = 10+(b-a) ilişkisinden 9 = a+b sonucu bulunur."]},"beginTime":466,"endTime":532,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=466&ask_summarization=1"},{"index":7,"title":"Mahallelerin Komşuluk Olasılığı","list":{"type":"unordered","items":["Bir ilçenin altı mahallesinden iki tanesinin seçilmesi 15 farklı ikili oluşturur.","Komşu olmayan 6 ikili olduğundan, komşu olan 9 ikili vardır.","Komşu olma olasılığı %60'dır."]},"beginTime":532,"endTime":598,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=532&ask_summarization=1"},{"index":8,"title":"Doğal Sayı Problemi","list":{"type":"unordered","items":["a kümesi, 5'e bölümünden kalan, rakamlar toplamı ve en büyük-en küçüğün farkı değerlerinden oluşur.","Örnek olarak verilen 408 sayısı, 5'e bölündüğünde 3 kalır, rakamları toplamı 12'dir ve en büyük-en küçüğün farkı 4'tür.","Problemin çözümünde 842, 482, 167 ve 617 sayıları bulunur ve toplamları 2108'dir."]},"beginTime":598,"endTime":727,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=598&ask_summarization=1"},{"index":9,"title":"Parabolik Havuz Problemi","list":{"type":"unordered","items":["Bir kenarı 12 metre olan kare şeklindeki bahçede, yola en yakın noktası 3 metre olan parabolik bir havuz ve kare şeklinde yeşil alan bulunmaktadır.","Parabol denklemi f(x) = -x²/4 + 9 şeklinde bulunmuş ve yeşil alanın bir kenarı 4 metre olarak hesaplanmıştır."]},"beginTime":733,"endTime":900,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=733&ask_summarization=1"},{"index":10,"title":"Aritmetik Dizi Problemi","list":{"type":"unordered","items":["Bir aritmetik dizide a₁ ve a₂ verilmiş, ortak fark d = 1 - log₅ olarak hesaplanmış ve sıfırdan büyük bulunmuştur.","Dizinin terimleri hesaplanarak a₄, a₅, a₆, a₇ ve a₈ terimleri 2-3 aralığına girmiş, toplamda 3 terimin bu aralıkta olduğu tespit edilmiştir."]},"beginTime":900,"endTime":1050,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=900&ask_summarization=1"},{"index":11,"title":"Polinom İşaret İncelemesi Problemi","list":{"type":"unordered","items":["Başka sayısı 1 olan 4. dereceden f(x) polinomunun işaret incelemesi verilmiş ve f(x) \u003c 0 aralığında x'in alabileceği 3 tam sayı vardır.","f(308) = 308 olarak verilmiş ve 308'in asal çarpanlarına ayrıldığında 2² × 7 × 11 olduğu bulunmuştur.","a + b + c toplamı 2 + 7 + 11 = 20 olarak hesaplanmıştır."]},"beginTime":1050,"endTime":1131,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1050&ask_summarization=1"},{"index":12,"title":"Katsayılar Toplamı Problemi","list":{"type":"unordered","items":["(x + y)ⁿ açılımının katsayılar toplamı 2ⁿ ve terim sayısı n + 1 olup, 2ⁿ/(n + 1) bir tam sayı olmalıdır.","n = 3, 7, 15, 31 ve 63 değerleri için 2ⁿ/(n + 1) tam sayı olarak bulunmuştur.","İki basamaklı n değerlerinin toplamı 109 olarak hesaplanmıştır."]},"beginTime":1131,"endTime":1210,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1131&ask_summarization=1"},{"index":13,"title":"Aritmetik Dizi Problemi","list":{"type":"unordered","items":["Verilen aritmetik dizide ortak farkı d, ilk terim toplamı S9 ve a5 = -4 verilmiş.","Aritmetik dizi formülü kullanılarak S9 = 9/2 (a1 + a9) şeklinde yazılır.","a1 = d² - 5d + 1 ve a9 = d² + 3d + 1 olarak bulunur."]},"beginTime":1216,"endTime":1270,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1216&ask_summarization=1"},{"index":14,"title":"Aritmetik Dizi Çözümü","list":{"type":"unordered","items":["S9 = b³ + 1 = 9/2 (2d² - 2d + 2) denklemi kurulur.","Denklem sadeleştirilerek d + 1 = 9 ve d = 8 bulunur.","a1 = 64 - 40 + 1 = 25 olarak hesaplanır."]},"beginTime":1270,"endTime":1341,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1270&ask_summarization=1"},{"index":15,"title":"Polinom Problemi","list":{"type":"unordered","items":["P(x) = x² + bx + c ikinci dereceden polinom ve Q(x) = x + d birinci dereceden polinom verilmiş.","Limit x → -d'de P(x)/Q(x) = 1 ve P(1) = 56 olduğuna göre b + c = 55 bulunur.","P(x) çarpanlarına ayrılarak (x + d)(x + d + 1) şeklinde ifade edilir."]},"beginTime":1341,"endTime":1431,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1341&ask_summarization=1"},{"index":16,"title":"Polinom Çözümü","list":{"type":"unordered","items":["b = 2d + 1 ve c = d(d + 1) olarak bulunur.","b + c = 55 denklemi çözülerek d = 6 veya d = -9 bulunur.","c = d(d + 1) formülüne göre d = -9 için c = 81 - 9 = 72 bulunur."]},"beginTime":1431,"endTime":1524,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1431&ask_summarization=1"},{"index":17,"title":"Doğrusal Fonksiyonlar Problemi","list":{"type":"unordered","items":["Üç doğrusal fonksiyon f(x), g(x) ve h(x) verilmiş ve hepsi (1,2) noktasından geçmektedir.","Fonksiyonların türevleri kullanılarak f'(1) + g'(1) \u003c g'(1) + h'(1) \u003c f'(1) + h'(1) ilişkisi kurulur.","Eğimleri karşılaştırılarak sıfır noktasında h(0) \u003c f(0) \u003c g(0) bulunur."]},"beginTime":1524,"endTime":1718,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1524&ask_summarization=1"},{"index":18,"title":"Kesir Problemi","list":{"type":"unordered","items":["1/a + 1/b = 1/4 ve 0.25 \u003c b/a \u003c 0.40 koşulları verilmiş.","a = 4 ve b = 4/3 değerleri bu koşulları sağlar.","Cevap olarak a = 4 bulunur."]},"beginTime":1718,"endTime":1788,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1718&ask_summarization=1"},{"index":19,"title":"Parabol Problemi","list":{"type":"unordered","items":["f(x) = ax² + bx + c parabolü ve (2,3) noktasından geçmektedir.","f(2) = 3 ve f(c) = 5 koşulları kullanılarak 4a + 2b = -2 bulunur.","f'(2) = 1 eğimi kullanılarak 4a + b = 1 denklemi kurulur ve a = 1, b = -3, c = 5 bulunur."]},"beginTime":1788,"endTime":1892,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1788&ask_summarization=1"},{"index":20,"title":"Süreklilik Koşulu","list":{"type":"unordered","items":["Verilen f(x) fonksiyonunun her x gerçel sayısı için sürekli olabilmesi için payındaki karekök ifadenin diskriminantının sıfırdan küçük veya eşit olması gerekir.","Paydaki ifade (a+3)(a-2) şeklinde çarpanlarına ayrılabilir ve her noktada sürekli olması için a≠-3 ve a≠2 olmalıdır.","a²≤24 koşulunu sağlayan ve paydayı sıfır yapmayan tam sayı değerler toplamda 7'dir."]},"beginTime":1898,"endTime":1989,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1898&ask_summarization=1"},{"index":21,"title":"Polinom Bölümü Problemi","list":{"type":"unordered","items":["Baş katsayısı 1 olan ikinci dereceden P(x) polinomu, B(x) ve Q(x) polinomlarıyla bölündüğünde kalan 1'dir.","B(x) polinomu Q(x) polinomu ile bölündüğünde kalan 2'dir ve P(1)=47 olarak verilmiştir.","Q(x) polinomunun Q(1) değeri 6'dır."]},"beginTime":1989,"endTime":2139,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=1989&ask_summarization=1"},{"index":22,"title":"Türev ve Eşitsizlik Problemi","list":{"type":"unordered","items":["f(x) fonksiyonunun türevi ile f(x) arasındaki farkın sıfırdan küçük olduğu eşitsizliğin çözüm aralığı (-1,5) olarak bulunmuştur.","f(x) fonksiyonu x²-4x+1, türevi ise 2x-4 olarak hesaplanmıştır.","f(x)+f'(x) ifadesinin sıfırdan küçük olduğu aralık (-1,3) olup, bu aralığın uzunluğu 4'tür."]},"beginTime":2139,"endTime":2267,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2139&ask_summarization=1"},{"index":23,"title":"İntegral Problemi","list":{"type":"unordered","items":["-1'den 1'e kadar f(x)=ax⁴/4+bx³/3+cx²+x integralinin değeri 12 olarak verilmiştir.","Buna göre b=15 olarak bulunmuştur.","f(1)+f(-1) toplamı 32'dir."]},"beginTime":2267,"endTime":2364,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2267&ask_summarization=1"},{"index":24,"title":"İntegral Değişimi","list":{"type":"unordered","items":["Verilen integralde 3x+1=u² dönüşümü yapılarak integral hesaplanmıştır.","İntegralin değeri 30 olarak bulunmuştur."]},"beginTime":2364,"endTime":2456,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2364&ask_summarization=1"},{"index":25,"title":"Alan Problemi","list":{"type":"unordered","items":["Verilen grafikte mavi, sarı ve beyaz alanların toplamı 60 birim kare olarak hesaplanmıştır.","x² eğrisinin altındaki alan 1'den 4'e kadar 21 birim kare, dikdörtgenin alanı ise 18 birim karedir.","Mavi alanın sarı alana oranı 6'dır."]},"beginTime":2456,"endTime":2573,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2456&ask_summarization=1"},{"index":26,"title":"Kökler Toplamı ve Çarpımı","list":{"type":"unordered","items":["Köklerin toplamı x₁ + x₂ = f₁ olacaktır.","Köklerin çarpımı x₁ × x₂ = f olacaktır.","Kökler toplamı a + b, kökler çarpımı a × b'dir."]},"beginTime":2581,"endTime":2609,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2581&ask_summarization=1"},{"index":27,"title":"Diskriminant Hesaplama","list":{"type":"unordered","items":["Diskriminant (Δ) = f₁² - 4 × f = (a + b)² - 4b olur.","f bileşke f₁ = a × (a + b) + b olur.","Diskriminant hesaplaması sonucunda a + b = 5 olarak bulunur."]},"beginTime":2609,"endTime":2718,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2609&ask_summarization=1"},{"index":28,"title":"Gruplar ve Kombinasyonlar","list":{"type":"unordered","items":["İkili grup sayısı A = n × (n-1) ÷ 2 olur.","Üçlü grup sayısı B = n × (n-1) × (n-2) ÷ 6 olur.","n = 7 olduğunda A = 21 ve B = 35 olarak hesaplanır."]},"beginTime":2718,"endTime":2838,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2718&ask_summarization=1"},{"index":29,"title":"Kombinasyon Kuralları","list":{"type":"unordered","items":["n'in ikilisi ile üçlüsünün toplamı (n+1)'in üçlüsüne eşittir.","7'in ikilisi ile 7'in üçlüsünün toplamı 8'in üçlüsüne eşittir.","2¹⁰ = 1024, 21 × 35 ÷ 7 = 505 olduğundan 2¹⁰ > 21 × 35 ÷ 7'dir."]},"beginTime":2838,"endTime":2907,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2838&ask_summarization=1"},{"index":30,"title":"Fonksiyonlar ve Çözüm","list":{"type":"unordered","items":["f(x) × g(x) = x + 2 eşitliği vardır.","f(x) + g(x) = x² - x - 12 eşitliği çarpanlarına ayrılır.","f(x) = x² - 2x - 8 ve g(x) = x - 4 olarak bulunur.","f(x) - x² = -2x - 8 olarak hesaplanır."]},"beginTime":2907,"endTime":2992,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2907&ask_summarization=1"},{"index":31,"title":"Trigonometrik Denklemler ve Özellikler","list":{"type":"unordered","items":["Birbirine 90 dereceye tamamlayan açıların sinüs ve kosinüs değerleri birbirine eşittir.","Birbirini 180'e tamamlayan açıların tanjant değerleri zıt işaretlidir.","Fonksiyonların kesişim noktasını bulmak için ortak çözüm yapılır ve sinüs değerleri kullanılarak x = π/3 ve y = √3/2 bulunur."]},"beginTime":2998,"endTime":3182,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=2998&ask_summarization=1"},{"index":32,"title":"Geometrik Problemler","list":{"type":"unordered","items":["Düzgün altıgenin bir köşesinden döndürülmesi sonucu oluşan şekillerde, F noktasının yerden yüksekliği 2√11 olarak bulunur.","ABC üçgeninde benzerlik oranı kullanılarak x = 7/5 değeri hesaplanır.","Çemberde kirişler ve teğetlerle ilgili problemlerde, Öklid bağlantısı ve trigonometrik oranlar kullanılarak uzunluklar hesaplanır."]},"beginTime":3182,"endTime":3597,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=3182&ask_summarization=1"},{"index":33,"title":"Doğrular ve Eğimler","list":{"type":"unordered","items":["Bir doğrunun y eksenini kestiği nokta x = 5 olarak bulunur.","İki dik kesişen doğrunun eğimleri çarpımı -1'e eşittir.","Eğimler çarpımı -1 olduğundan, diğer doğrunun eğimi -1/25 olarak hesaplanır."]},"beginTime":3597,"endTime":3643,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=3597&ask_summarization=1"},{"index":34,"title":"Yamuğun Alanı ve Uzunluğu","list":{"type":"unordered","items":["Yamuğun kollarının oranı, ayırdığı parçaların oranına eşittir ve açıortay özelliğine sahiptir.","Benzer üçgenler kullanılarak yamuğun alanı hesaplanır ve a² = 5 olarak bulunur.","Pisagor bağıntısı kullanılarak AB uzunluğu √65 olarak hesaplanır."]},"beginTime":3650,"endTime":3770,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=3650&ask_summarization=1"},{"index":35,"title":"Çemberin Denklemi","list":{"type":"unordered","items":["Çember y = 5 ve y = 1 doğrularına teğet olduğundan, merkez noktasının ordinat değeri 3'tür.","Doğrular arasındaki uzaklık 4 olduğundan yarıçap uzunluğu 2'dir.","Merkez noktası (1,3) olduğundan çemberin denklemi x² + y² - 2x - 6y + 6 = 0 olarak bulunur."]},"beginTime":3770,"endTime":3843,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=3770&ask_summarization=1"},{"index":36,"title":"Üçgenin Dönme ve Simetri","list":{"type":"unordered","items":["ABC üçgeni pozitif yönde 90 derece orijin etrafında döndürüldüğünde yeni konumu belirlenir.","Üçgen x = 2 doğrusuna göre simetri alınarak son konumu bulunur.","Benzerlik oranı kullanılarak üçgenin alanı 3/8 olarak hesaplanır."]},"beginTime":3843,"endTime":3933,"href":"/video/preview/14038536466339100023?parent-reqid=1769465492490486-16845601018280992401-balancer-l7leveler-kubr-yp-klg-59-BAL&text=Paraf+Akademi&t=3843&ask_summarization=1"},{"index":37,"title":"Koninin Taban Alanı","list":{"type":"unordered","items":["Daire diliminin yay ölçüsü çevre açısının iki katı olan 240 derecedir.","Dilimin alanı 27π olduğundan, çap uzunluğu 9 olarak bulunur.","Yarıçap uzunluğu 3 olduğundan, koninin taban alanı 9π olarak 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