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sağlayacaktır.","İzleyicilerden videoyu beğenip paylaşmaları ve \"katıl\" butonuna tıklamaları isteniyor.","Katıl kısmına katılanlar PDF'lere erişebilir ve ilerleyen dönemlerde çözülen soruların dijital notlarına da ulaşabilirler."]},"beginTime":65,"endTime":128,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=65&ask_summarization=1"},{"index":2,"title":"Türev Soruları","list":{"type":"unordered","items":["Bu dosyada sadece türev soruları olacak, limit ve fonksiyon tanım kümesi ile ilgili sorular için açıklama kısmında linkler bırakılmıştır.","Fonksiyonun tanım kümesi sorusunda, üslü fonksiyonların tanım kümesi reel sayılar olup, ark tanjant fonksiyonunun tanım kümesi de reel sayılar olarak belirlenmiştir.","Kök içerisindeki ifadenin tanımlı olması için 1+ln x ≥ 0 şeklinde bir eşitsizlik kurulmuş ve x > 1 olarak 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yapılmıştır."]},"beginTime":552,"endTime":618,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=552&ask_summarization=1"},{"index":6,"title":"Fonksiyonun Türevi Hesaplama","list":{"type":"unordered","items":["e üzeri ark tanjant ifadesinin türevi, e üzeri ark tanjant kök içerisinde 1+lnx çarpı (1/(1+lnx)²) olarak hesaplanır.","Kök fonksiyonunun türevi, icerisinin türevi bölü 2 kök içerisinde ifadenin aynısı veya tepesinde 1/2 şeklinde rasyonel formatta yazılır.","Fonksiyonun kendisiyle tersinin bileşkesinin türevi, fonksiyonun kendisiyle tersinin çarpımı olarak hesaplanır."]},"beginTime":618,"endTime":759,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=618&ask_summarization=1"},{"index":7,"title":"Ters Fonksiyonların Türevi","list":{"type":"unordered","items":["Ters fonksiyonların türevi, f⁻¹'(x) = 1/f'(f(x)) formülüyle hesaplanır.","f(x) = e^(arctan(√(1+lnx))) fonksiyonunun türevi, f'(x) = 1/f'(e^(4)) şeklinde bulunur.","f(x) = e^(4) olduğunda, x = 1 olarak hesaplanır ve bu noktadaki türev f'(1) = 1 olarak bulunur."]},"beginTime":761,"endTime":898,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=761&ask_summarization=1"},{"index":8,"title":"Kapalı Fonksiyonların Türevi","list":{"type":"unordered","items":["Kapalı fonksiyonların türevi, y'lerin değişkene bağlı olduğu durumda kısmi türevler kullanılarak hesaplanır.","f(x,y) = x⁴ + y⁴ + 2xy fonksiyonunun türevi, f'(x,y) = 4x³ + 4y³ + 2xy olarak bulunur.","x = 1 ve y = -1 noktasında y'nin türevi, f'(1,-1) = 1 olarak hesaplanır."]},"beginTime":898,"endTime":1038,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=898&ask_summarization=1"},{"index":9,"title":"Logaritmik Fonksiyonların Türevi","list":{"type":"unordered","items":["f(x) = ln(cosx + 3√2 + sinx) fonksiyonunun türevi, f'(x) = (cosx + 3√2 + sinx) / (ln(cosx + 3√2 + sinx)) olarak bulunur.","f(x) = 3ˣ fonksiyonunun türevi, f'(x) = 3ˣ × ln3 olarak hesaplanır.","g(x) = log₂x fonksiyonunun türevi, g'(x) = 1 / (x × ln2) olarak bulunur."]},"beginTime":1038,"endTime":1284,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1038&ask_summarization=1"},{"index":10,"title":"Arksinüs Fonksiyonunun Türevi","list":{"type":"unordered","items":["f(x) = arksinüs(sinüs x) fonksiyonunun tersini bulmak için türev alma yöntemi kullanılır.","Arksinüs fonksiyonunun türevi, içerideki ifadenin türevi bölü kök(1 - içerideki ifadenin karesi) şeklinde hesaplanır.","Arksinüs(x²) fonksiyonunun türevi ise 2x/(1 - x⁴) olarak bulunur."]},"beginTime":1295,"endTime":1491,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1295&ask_summarization=1"},{"index":11,"title":"Tanjant Doğrusu Bulma","list":{"type":"unordered","items":["Bir eğrinin belirli bir noktadaki tanjant doğrusunun eğimi, o noktadaki fonksiyonun türevine eşittir.","f(x) = eˣ + 2 + 4x³ fonksiyonunun 0,1 noktasındaki türevi 3'tür.","Eğimi 3 olan ve (0,1) noktasından geçen doğru denklemi y = 3x + 1 olarak bulunur."]},"beginTime":1491,"endTime":1630,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1491&ask_summarization=1"},{"index":12,"title":"Paralel Doğrunun Üzerindeki Nokta","list":{"type":"unordered","items":["Bir eğrinin 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kullanılır.","Logaritma fonksiyonlarının türevi hesaplanırken, logaritmanın tabanı ve fonksiyonun değeri dikkate alınmalıdır."]},"beginTime":2006,"endTime":2101,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=2006&ask_summarization=1"},{"index":16,"title":"Teğet ve Normal Line","list":{"type":"unordered","items":["Teğet line ile normal line birbirleriyle dik kesişir ve eğimlerinin çarpımı -1'e eşittir.","Eğrinin türevi alınarak teğet line'ın eğimi (m) bulunabilir.","Normal line'ın eğimi, teğet line'ın eğiminin tersi ve işaretinin tersi olarak hesaplanır."]},"beginTime":2101,"endTime":2270,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=2101&ask_summarization=1"},{"index":17,"title":"Fonksiyonların Sürekliliği ve Türevlenebilirliği","list":{"type":"unordered","items":["Polinom tipteki fonksiyonlar tüm reel sayılarda süreklidir ve türevlenebilirdir.","Intermediate Value Theorem kullanılarak fonksiyonların belirli aralıklarda değerleri karşılaştırılabilir.","Fonksiyonun belirli aralıklarda değerleri karşılaştırıldığında, en az bir noktada fonksiyonun belirli bir değere eşit olduğu sonucuna varılabilir."]},"beginTime":2270,"endTime":2366,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=2270&ask_summarization=1"},{"index":18,"title":"Kübik Fonksiyonun Kökleri","list":{"type":"unordered","items":["Kübik fonksiyonun kökleri hesaplanarak P₁ = -3, P₂ = 8 ve P₃ = 12 olarak bulunuyor.","Fonksiyonun üç reel kökü olduğu gösteriliyor.","Türev yöntemi ile de köklerin varlığı gösterilebilir: f'(x) = 3x² - 5 = 0 denkleminin kökleri -√5/3 ve +√5/3 olup, bu noktaların görüntülerinin zıt işaretli olması üç reel kökün varlığını garanti eder."]},"beginTime":2367,"endTime":2543,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=2367&ask_summarization=1"},{"index":19,"title":"Süreklilik ve Türevlenebilirlik","list":{"type":"unordered","items":["Sabit c ve d değerleri için hem sürekli hem diferansiyellenebilir bir fonksiyon bulunması isteniyor.","Süreklilik için x=3 noktasındaki soldan ve sağdan limitlerin eşit olması gerekiyor: 3c+4 = 8d.","Türevlenebilirlik için x=3 noktasındaki sağ ve sol türevlerin eşit olması gerekiyor: 6d = c.","Bu denklemlerden d = -2/5 ve c = -12/5 değerleri bulunuyor."]},"beginTime":2543,"endTime":2685,"href":"/video/preview/6538981202598713059?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=2543&ask_summarization=1"},{"index":20,"title":"Dersin Kapanışı","list":{"type":"unordered","items":["Eğitmen, dersi hazırlarken ve çözerken keyif aldığını 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Öğretmen, 10. sınıf öğrencilerine yönelik yazılı sınav hazırlığı yapmaktadır.","Videoda üçgenler ve trigonometri konularındaki çeşitli problemler adım adım çözülmektedir. İçerik, tanjant, kotanjant, sinüs, kosinüs gibi trigonometrik fonksiyonlar, Öklit teoremi, sinüs teoremi, üçgenlerde açıortay ve kenarortay özellikleri ile üçgen alan hesaplamaları konularını kapsamaktadır. Öğretmen, Milli Eğitim örnek yazılı sorularından ve konu anlatım kitabından alınan problemleri çözerek öğrencilerin sınavlarda karşılaşabilecekleri soru tiplerini göstermektedir.","Video, üçgenlerin özellikleri, trigonometrik hesaplamalar ve alan hesaplamaları konularında pratik yapmak isteyen 10. sınıf öğrencileri için hazırlanmıştır. Özellikle \"muhteşem üçlü\" gibi özel durumlar vurgulanarak, katlamalı çatlamalı sorular üzerinden çözüm yöntemleri gösterilmektedir."]},"endTime":1980,"title":"10. Sınıf Matematik 1. Dönem 1. Yazılı Sınavı Hazırlık Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"10. Sınıf Matematik Yazılı Hazırlık","list":{"type":"unordered","items":["Melih hocanın Partikül Matematik kanalında 10. sınıf matematik 1. dönem 1. yazılı sınavı için hazırlık çalışması yapılacak.","Hazırlık, yeni Maarif Model'e uygun hazırlanan 10. sınıf matematik konu anlatım kitabından ve Milli Eğitim'in yayınladığı örnek yazılı sorularından sorularla yapılacak.","Örnek yazılıdaki soruların neredeyse birebir tutturulduğu belirtiliyor ve gerçek yazılıda da benzer soruların çıkacağı söyleniyor."]},"beginTime":1,"endTime":86,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1&ask_summarization=1"},{"index":1,"title":"İlk Matematik Sorusu","list":{"type":"unordered","items":["Soruda yerdeki A noktasında bulunan bir kuşun 35 metre yükseklikteki binanın C noktasına uçması isteniyor.","Kuş önce A noktasındaki ağacın tepe noktası olan B noktasına 37 derecelik açıyla, sonra B noktasından C noktasına 53 derecelik açıyla uçuyor.","AB ve BC kenarlarının eşit olduğu bilgisi verilmiş ve kuşun aldığı toplam yol bulunması isteniyor."]},"beginTime":86,"endTime":173,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=86&ask_summarization=1"},{"index":2,"title":"İlk Sorunun Çözümü","list":{"type":"unordered","items":["Tanjant 37 derece değeri 3/4 olduğundan, dik üçgende karşı kenar 3k, komşu kenar 4k ve hipotenüs 5k olarak bulunuyor.","Kuşun aldığı toplam yol 10k olarak hesaplanıyor ve bu 35 metreye eşitlenerek k değeri bulunuyor.","Sonuç olarak kuşun aldığı toplam yol 50 metre olarak hesaplanıyor."]},"beginTime":173,"endTime":311,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=173&ask_summarization=1"},{"index":3,"title":"İkinci Matematik Sorusu","list":{"type":"unordered","items":["İkinci soruda ABC 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verilmiştir.","Üçgenin çevresi de verilmiştir.","Bu soru, önceki videoda çözülen benzer bir sorunun biraz daha kolay versiyonu olarak tanımlanmıştır."]},"beginTime":960,"endTime":988,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=960&ask_summarization=1"},{"index":7,"title":"Sinüs Teoremi ile Üçgen Problemi Çözümü","list":{"type":"unordered","items":["Sinüs teoremi, kenar uzunlukları a, b, c olan bir üçgende a/sinA = b/sinB = c/sinC ilişkisini ifade eder.","Üç bilinmeyenli denklemi çözmek için sinB'ye dönüştürme yapılır: sinA = a/b sinB ve sinC = c/b sinB.","Denklemde sinB'ler sadeleşerek 2a + 2c = 3b elde edilir ve a + b + c = 25 bilgisiyle b = 10 bulunur."]},"beginTime":990,"endTime":1236,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=990&ask_summarization=1"},{"index":8,"title":"Trigonometrik İfadelerin Değerlendirilmesi","list":{"type":"unordered","items":["Bir üçgenin iç açıları toplamı 180 derecedir ve tan(a+b) = tan(180-c) ifadesi verilmiştir.","a+b = 180-c olarak yazılır ve tan(180-c) = -tan(c) olduğu için ifade 1'e eşittir.","Benzer şekilde cos(a+b) ifadesi de 1'e eşit bulunur ve toplamları 2'dir."]},"beginTime":1236,"endTime":1367,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1236&ask_summarization=1"},{"index":9,"title":"Yelkenliler Problemi","list":{"type":"unordered","items":["ABC üçgeninde B noktasından farklı hızlarla hareket eden yelkenliler A ve C noktalarına aynı anda varıyor.","Bir yelkenlinin hızı 50 km/saat, diğerinin hızı 70 km/saat ve AC kenarı 600 km'dir.","Açıortay teoremi kullanılarak DC uzunluğu 350 km olarak hesaplanır."]},"beginTime":1367,"endTime":1544,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1367&ask_summarization=1"},{"index":10,"title":"Katlanan Üçgen Problemi","list":{"type":"unordered","items":["ABC üçgeni A boyunca katlanıp yeni bir şekil elde edilir.","EC = 15 ve AB = 9 olarak verilmiştir.","ABC üçgeninin ağırlık merkezi üzerinde bir çizgi geçmektedir."]},"beginTime":1544,"endTime":1590,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1544&ask_summarization=1"},{"index":11,"title":"Katlamalı Çatlamalı Sorularda Çözüm Yöntemi","list":{"type":"unordered","items":["Katlamalı çatlamalı sorularda, üçgen katlamaları her bir zerresine, hücresine kadar aynı şekilde gider.","Katlama sonucunda oluşan açıortay özelliği kullanılarak, açıortayın kolları 6k ve 9k olarak ifade edilebilir.","Muhteşem üçlü (90 dereceden gelen, kenarortay yapan ve kenarı ikiye bölen) özelliği kullanılarak, k değeri 5/2 olarak bulunur."]},"beginTime":1591,"endTime":1774,"href":"/video/preview/18106616020563939839?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1591&ask_summarization=1"},{"index":12,"title":"Dik Üçgende Alan Hesaplama","list":{"type":"unordered","items":["Dik üçgende dik kenarlardan biri 6, hipotenüs 10 olduğunda, diğer kenar 8 olur ve 6-8-10 üçgeni oluşur.","Açıortay özelliği kullanılarak, 8'in gördüğü kanat 8k, 10'un gördüğü kanat 10k olarak ifade edilir ve k değeri 1/3 olarak bulunur.","Üçgende alan mevzusunda, yükseklikleri aynı iki üçgende alanların oranı tabanların oranına 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Gün gün ilerleyerek sağlam bir temel oluşturacağız. ✅ Formülleri ezberlemeden...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1244774/4e789b3cc0ed210ad07c0d135cd648b9/564x318_1"},"target":"_self","position":"18","reqid":"1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=videoid:8345598740629187564","teaser":[{"list":{"type":"unordered","items":["Bu video, Partikül Matematik tarafından sunulan \"Sıfırdan Matematik Kampı\" serisinin bir eğitim içeriğidir. Bir matematik öğretmeni tarafından öğrencilere yönelik hazırlanmış olup, matematik sorularının adım adım çözümlerini içermektedir.","Videoda tam sayılarda dört işlem, işlem önceliği, üslü ifadeler, sayı doğrusu, çarpma tablosu, değişme özelliği, asit-baz problemleri ve TYT sınavından çıkmış sorular ele alınmaktadır. Öğretmen, toplam 25 sorudan oluşan test sorularını çözerek, her bir sorunun çözümünde dikkat edilmesi gereken noktaları vurgulamaktadır.","Video, öğrencilere önce kendi başlarına soruları çözmelerini, sonra da çözümlere bakmalarını tavsiye etmektedir. Ayrıca, bir sonraki derste ikinci bölümün konu anlatımı yapılacağı belirtilmektedir."]},"endTime":2498,"title":"Sıfırdan Matematik Kampı: Tam Sayılarda Dört İşlem ve TYT Soruları","beginTime":0}],"fullResult":[{"index":0,"title":"Sıfırdan Matematik Kampı Tanıtımı","list":{"type":"unordered","items":["Matko, 14 günde sıfırdan matematik kampının birinci gününde konu anlatımı ve pratik kısmını tamamladıktan sonra çoktan seçmeli test bölümüne geçiyor.","Toplam iki test ve 25 soru bulunuyor, bu testlerde çıkmış sorular da yer alıyor.","Kampın faydalı geçmesi için öncelikle kitapları edinip testleri çözmek, kendini iyi hissetmiyorsa tüm çözümleri incelemek gerekiyor."]},"beginTime":0,"endTime":118,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=0&ask_summarization=1"},{"index":1,"title":"Test Çözümü","list":{"type":"unordered","items":["İlk soruda tam sayılarda dört işlem yapılıyor ve işlem 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bulunuyor."]},"beginTime":1138,"endTime":1257,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1138&ask_summarization=1"},{"index":6,"title":"Test 2'nin İlk Sorusu","list":{"type":"unordered","items":["Test 2'nin ilk sorusunda, boş kutulara toplama, çıkarma ve çarpma sembolleri yerleştirilerek her satırdaki işlemin sonucunun aynı sayıya eşit olması isteniyor.","Çarpma, eksi ve artı sembolleri kullanılarak her satırın sonucu 20 olarak bulunuyor."]},"beginTime":1257,"endTime":1338,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1257&ask_summarization=1"},{"index":7,"title":"İşlem Önceliği Sorusu","list":{"type":"unordered","items":["Karmaşık bir işlem sorusunda önce parantez içindeki işlemler, sonra üslü ifadeler ve son olarak çarpma-bölme işlemleri yapılıyor.","İşlemin sonucu 5 olarak 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daha sıcaktır."]},"beginTime":1544,"endTime":1642,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1544&ask_summarization=1"},{"index":10,"title":"İşlem Bulma Soruları","list":{"type":"unordered","items":["Kutuya 24÷8=3, üçgene -8÷(-4)=2 değerleri yerleştiriliyor.","Sayı doğrusunda -30 ile +42 arasındaki mesafe 72 birim olup, 9 eş parçaya bölündüğünde her bölme 8 birimdir.","Kayı ve L değerleri sırasıyla -14 ve +18 olarak bulunuyor, bu da Kayı'nın L'nin 4'e eşit olduğunu gösteriyor."]},"beginTime":1642,"endTime":1815,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1642&ask_summarization=1"},{"index":11,"title":"Çokgen İçindeki İşlemler","list":{"type":"unordered","items":["Bir şeklin içine yazılan sayı, o şeklin kenar sayısına bölünerek işlem yapılıyor.","Eksi 30÷5=-6, 12÷6=2 olarak hesaplanıyor.","Sonuç olarak 4 çokgen bulunuyor."]},"beginTime":1815,"endTime":1881,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1815&ask_summarization=1"},{"index":12,"title":"Asit ve Bazların Nötrleşmesi","list":{"type":"unordered","items":["Asit ve bazlardan aynı miktar alınarak karıştırıldığında nötr bir bileşik elde edilir, bu artı ile eksi gibi düşünülebilir.","Asitlerden 5 tane (artı 5) ve bazlardan 4 tane (eksi 4) alındığında, artı 5 ile eksi 4 bir araya gelerek artı 1 kalır."]},"beginTime":1889,"endTime":1975,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1889&ask_summarization=1"},{"index":13,"title":"Test Puanlama Problemi","list":{"type":"unordered","items":["20 soruluk bir testte doğrulara 5 puan, yanlışlara -2 puan, boş bırakılanlara -1 puan verilir.","Anıl 12 doğru, 5 yanlış ve 3 boş cevap vermişse, toplam puanı 60-10-3=47 olur."]},"beginTime":1975,"endTime":2080,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=1975&ask_summarization=1"},{"index":14,"title":"Çember ve Kare Diyagramı Problemi","list":{"type":"unordered","items":["Çemberlerin içine tam sayılar, karelerin içine toplama veya çarpma işlemlerinden biri yazılır.","Karenin içindeki işlem, o karenin üstündeki iki çemberin içindeki sayılara uygulanır ve sonuç alttaki çembere yazılır.","M çarpma işlemi, K eksi 3, L ise 2 olarak bulunur."]},"beginTime":2080,"endTime":2237,"href":"/video/preview/8345598740629187564?parent-reqid=1769001523744005-158223240237570544-balancer-l7leveler-kubr-yp-sas-135-BAL&text=matim&t=2080&ask_summarization=1"},{"index":15,"title":"Kutu Problemi","list":{"type":"unordered","items":["Kutuların içine 1'den 10'a kadar sayılar her kutuya farklı bir sayı gelecek şekilde 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