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Pekiştirmek İçin 👇 0'dan 10'a Matematik: https://bit.ly/2ZGkHtr Dinamo Matematik: https://bit.ly/39l119b Tonguç Plus Üyeliğini İncelemek İçin : https://bit.ly/3ihGmOR 📌Eylül ayı...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4266379/ce1cb7c04f286421176e2b47963da99f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/GKqqPgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=videoid:4262797571639949768","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin Pascal üçgeni ve binom açılımı konusunu anlattığı kapsamlı bir eğitim içeriğidir. Öğretmen, 29 Eylül Çarşamba günü bu konuyu ele almaktadır.","Video, Pascal üçgeninin tanımı ve özellikleriyle başlayıp, binom açılımının temel prensiplerini adım adım açıklamaktadır. Öğretmen, (x+y)² açılımını örnek olarak göstererek kombinasyonların nasıl yerleştirileceğini, terimlerin nasıl hesaplanacağını ve binom açılımının özellikleri (terim sayısı, x kuvvetlerinin toplamı, ortanca terim) hakkında bilgi vermektedir. Ayrıca katsayılar toplamı, sabit terim ve belirli terim bulma gibi konulara da değinilmektedir.","Videoda ÖSYM tarzı sorular üzerinden konu pekiştirilmekte ve öğrencilerin ezber yerine mantığı anlaması vurgulanmaktadır. Dersin sonunda öğrencilere ödev verilmekte ve bir sonraki derste olasılık konusunun işleneceği belirtilmektedir."]},"endTime":1534,"title":"Pascal Üçgeni ve Binom Açılımı Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Üçgeni ve Binom Açılımı Tanıtımı","list":{"type":"unordered","items":["Pascal üçgeni ve binom açılımı konusu, 29 Eylül Çarşamba günü anlatılmaktadır.","Yarın felsefe tanımlama konusu ve Ekim ayı programı için hazırlıklar yapılıyor.","Bu hafta pascal üçgeni tanımı, işlevi, pascal-kombinasyon ilişkisi, pascal özdeşliği ve binom açılımı konuları ele alınacaktır."]},"beginTime":0,"endTime":52,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Pascal Üçgeni Tanımı ve Yapısı","list":{"type":"unordered","items":["Pascal üçgeni, bir ile başlayan ve başında ve sonunda bir olan üçgen şeklinde yayılan bir sistemdir.","Pascal üçgeninde, her sayı üstteki iki sayının toplamı olarak hesaplanır.","Pascal üçgeni, binom açılımında katsayıları belirlemek için kullanılır."]},"beginTime":52,"endTime":151,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=52&ask_summarization=1"},{"index":2,"title":"Binom Açılımının Pascal Üçgeni ile İlişkisi","list":{"type":"unordered","items":["Binom açılımı, iki terimli ifadelerin kuvvetlerinin açılımlarıdır (x+y)ⁿ şeklinde.","Pascal üçgenindeki sayılar, binom açılımındaki katsayıları belirler: (x+y)⁰=1, (x+y)¹=x+y, (x+y)²=x²+2xy+y², (x+y)³=x³+3x²y+3xy²+y³.","Pascal üçgeni, kombinasyon değerlerinden türetilir: 0C0, 1C0+1C1, 2C0+2C1+2C2 şeklinde."]},"beginTime":151,"endTime":338,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=151&ask_summarization=1"},{"index":3,"title":"Pascal Özdeşliği","list":{"type":"unordered","items":["Pascal özdeşliği, Pascal üçgenindeki ardışık kombinasyon değerlerinin toplamının bir sonraki satırda aynı konumda bulunan kombinasyon değerine eşit olduğu özelliğidir.","Örneğin: nCk + nC(k+1) = (n+1)C(k+1) formülü geçerlidir.","Pascal özdeşliği, işlem sorularında ve sınavlarda önemli bir kısayol olarak kullanılır."]},"beginTime":338,"endTime":421,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=338&ask_summarization=1"},{"index":4,"title":"Binom Açılımı Kavramı","list":{"type":"unordered","items":["Her şeyin bir kuvveti kendisiydi, ikinci kuvveti ise x² şeklinde ifade edilir.","Binom açılımında her zaman sayıların başına bir kombinasyon yerleştirilir ve elemanların en üstten başlayarak en alta kadar yazılması gerekir.","Binom açılımında birinci kuvvet azaltılırken, ikinci kuvvet artar."]},"beginTime":433,"endTime":510,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=433&ask_summarization=1"},{"index":5,"title":"Binom Açılımının Uygulanması","list":{"type":"unordered","items":["(x+y)² açılımında, kombinasyon 2'nin sıfırı ile başlar ve x'in üstü azalırken y'nin üstü artar.","Üstlerin toplamı her zaman binomun üstüne eşittir (örneğin 2+0=2, 1+1=2, 0+2=2).","Kombinasyonlar her zaman binomun üstünden başlar ve elemanlar yazılır."]},"beginTime":510,"endTime":592,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=510&ask_summarization=1"},{"index":6,"title":"Genel Kural ve Örnekler","list":{"type":"unordered","items":["Hangi kuvveti açıyorsanız, terim sayısı bir fazla olur (örneğin 2. kuvvet için 3 terim, 3. kuvvet için 4 terim).","Binom açılımında her kombinasyon, birinci eleman ve ikinci elemanı içerir.","Binom açılımında x'in azalan kuvvetleri istendiğinde, sıfırdan başlayarak terimlerin sıralaması yapılabilir."]},"beginTime":592,"endTime":748,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=592&ask_summarization=1"},{"index":7,"title":"Önemli Taktikler","list":{"type":"unordered","items":["Binom açılımında üstlerin toplamı, binomun üstüne eşittir.","n. kuvvet açılımında n+1 tane terim vardır.","Binom açılımında ortadaki eleman, kombinasyon çarpı x üzeri eksi çarpı y üzeri şeklinde ifade edilir."]},"beginTime":748,"endTime":807,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=748&ask_summarization=1"},{"index":8,"title":"Binom Açılımı Örneği","list":{"type":"unordered","items":["Binom açılımında ilk terimde x, ikinci terimde 252 yer alır ve üstlerin toplamı üsse eşit olur.","Dördüncü terimi yazarken, sıfırdan başlayarak bir geri gitmek gerekir ve kombinasyon formülü kullanılır.","Binom açılımının sonucunda 4x⁴ + 8x³ + 24x² + 32x + 16 elde edilir."]},"beginTime":808,"endTime":948,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=808&ask_summarization=1"},{"index":9,"title":"Binom Açılımının Özellikleri","list":{"type":"unordered","items":["(x+1)ⁿ açılımında n+1 terim vardır çünkü 0'dan başlayıp n'ye kadar devam eder.","Her terimdeki x kuvvetlerinin toplamı n'dir ve üslerin toplamı üsse eşittir.","(x+2)ⁿ açılımında n+1 terim vardır, başta ve sonda n terim vardır."]},"beginTime":948,"endTime":1044,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=948&ask_summarization=1"},{"index":10,"title":"Binom Açılımının Diğer Özellikleri","list":{"type":"unordered","items":["Ortanca terimde x'in kuvveti n/2'dir ve katsayılar toplamı için bilinmeyenlerin yerine 1 konulur.","Sabit terim için bilinmeyenlerin yerine 0 konulur.","x'in azalan kuvvetlerine göre açılımındaki terimler için kombinasyon formülü kullanılır ve ilgili terim bulunur."]},"beginTime":1044,"endTime":1200,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1044&ask_summarization=1"},{"index":11,"title":"Kombinasyon Problemi Çözümü","list":{"type":"unordered","items":["Soruda verilen kombinasyon terimlerinde, üstlerin toplamı ve alt değerlerin kombinasyon ilişkisi kullanılarak çözüm bulunuyor.","Kombinasyon probleminde, üstlerin toplamı verildiğinde, alt değerlerin toplamı bulunarak çözüm elde ediliyor.","Çözüm sonucunda x üzeri 9754 ifadesi bulunmuş ve p=180, m=5 değerleri hesaplanmış."]},"beginTime":1207,"endTime":1319,"href":"/video/preview/4262797571639949768?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1207&ask_summarization=1"},{"index":12,"title":"Katsayılar Toplamı Problemi","list":{"type":"unordered","items":["(2-ax)^5 ifadesinin katsayıları toplamı -243 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Ekim programına buradan ulaşabilirsin👉https://bit.ly/2GiUOGm Sana en yakın Tonguç Kitapçısı için👉https://www.tongucmagaza.com/satisnok... Tonguç Akademi Sınıf Paketi'nde!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3755134/ffaeebc05910a252de2186763c61534d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vgCeSAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=videoid:6871097579801843868","teaser":[{"list":{"type":"unordered","items":["Bu video, Tonguç Akademi'de uzaktan eğitim formatında bir matematik öğretmeninin Pascal üçgeni ve kombinasyon konularını anlattığı bir eğitim içeriğidir. Öğretmen, öğrencilere hitap ederek interaktif bir şekilde dersi ilerletmektedir.","Videoda Pascal üçgeninin nasıl oluşturulduğu, kombinasyonla ilişkisi, Pascal özdeşliği ve binom açılımına giriş yapılmaktadır. Öğretmen, üçgenin eleman sayılarını, alt kümelerin toplamını ve kombinasyon hesaplamalarını örneklerle açıklamakta, özellikle dokuzuncu satırın eleman sayısı ve tüm elemanlarının toplamı gibi konulara değinmektedir.","Dersin sonunda, haftaya binom açılımı konusunun daha detaylı olarak işleneceği belirtilmektedir. Öğretmen, konuyu zor bulmayan öğrencilere hitap ederek konuyu kolay bir şekilde anlatmaya çalışmaktadır."]},"endTime":1760,"title":"Pascal Üçgeni ve Kombinasyon Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dersin Tanıtımı","list":{"type":"unordered","items":["Tonguç Akademi'de uzaktan eğitim devam ediyor ve bugünkü konu Pascal üçgeni.","Dersde Pascal üçgeni, Pascal üçgeninin kombinasyonla ilişkisi, Pascal özdeşliği ve binom açılımına giriş yapılacak.","Ders kısa, net ve basit olacak, Pascal üçgeninin geçmişi hatırlatılacak ve geleceğine vurgu yapılacak."]},"beginTime":1,"endTime":55,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1&ask_summarization=1"},{"index":1,"title":"Öğrencilerle Tanışma","list":{"type":"unordered","items":["Eğitmen, öğrencilerle tanışıyor ve Brezilya'dan, Amerika'dan ve Türkiye'nin farklı şehirlerinden öğrencilerin katıldığını belirtiyor.","Eğitmen, Tonguç Akademi'nin öğrenciler için Ev Okul Kampı programını tanıtıyor.","Programda edebiyat, fizik, matematik, kimya, biyoloji gibi konular ve konu konu rehberlik bulunuyor."]},"beginTime":55,"endTime":184,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=55&ask_summarization=1"},{"index":2,"title":"Pascal Üçgeni Hakkında","list":{"type":"unordered","items":["Pascal üçgeni, (x+y) ifadesinin açılımının katsayılarını gösteren bir üçgen şeklindeki düzenlemeyi ifade eder.","Pascal üçgeninin satırlarındaki sayılar, (x+y) ifadesinin sıfırıncı kuvvetten başlayarak açılımlarının katsayılarıyla aynıdır.","Pascal üçgeni, binom açılımındaki katsayıları yazmayı kolaylaştırır ve açılımdaki katsayılardan oluşur."]},"beginTime":184,"endTime":307,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=184&ask_summarization=1"},{"index":3,"title":"Pascal Üçgeni ve Kombinasyon İlişkisi","list":{"type":"unordered","items":["Pascal üçgeni oluşturmak için bir yazıp, bir ile başlayıp, ikisini toplayarak devam edilir.","Pascal üçgeninde katsayılar ortalara yazılırsa Pascal üçgeni oluşur.","Pascal üçgeni ile kombinasyon arasında ilişki vardır; Pascal üçgenindeki sayılar kombinasyondan gelmektedir."]},"beginTime":309,"endTime":515,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=309&ask_summarization=1"},{"index":4,"title":"Pascal Üçgeninin Özellikleri","list":{"type":"unordered","items":["Pascal üçgeni, alt kümenin sıralanışına göre alt kümeleri gösterir.","Pascal üçgeninde bir satırdaki ardışık iki katsayının toplamı, alt satırdaki ortadaki sayıya eşittir.","Pascal özdeşliği, Pascal üçgenindeki bu özelliğin matematiksel ifadesidir."]},"beginTime":515,"endTime":806,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=515&ask_summarization=1"},{"index":5,"title":"Pascal Üçgeni Soruları","list":{"type":"unordered","items":["Pascal üçgenindeki sayılar, üst satırdaki ardışık sayıların toplamından elde edilir.","Pascal üçgeninin herhangi bir satırında bulunan terimlerin toplamı belirli bir formülle hesaplanabilir.","Pascal üçgeni konusu ve soruları oldukça kolaydır."]},"beginTime":806,"endTime":1011,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=806&ask_summarization=1"},{"index":6,"title":"Pascal Üçgeni Özellikleri","list":{"type":"unordered","items":["Pascal üçgeninde herhangi bir satırın terimlerinin toplamı 256'dır.","Birinci satır 1'den başlar, ikinci satır 1'lerden oluşur, üçüncü satır 2'lerin kombinasyonlarıdır ve üçüncü satırda 3 eleman vardır.","Pascal üçgeninde eleman sayısı 9 olan satır dokuzuncu satırdır ve bu satır 8'in kombinasyonlarından oluşur."]},"beginTime":1016,"endTime":1208,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1016&ask_summarization=1"},{"index":7,"title":"Pascal Üçgeninin Toplamı","list":{"type":"unordered","items":["Pascal üçgeninin tüm elemanlarının toplamı 256'dır.","2⁸ = 256 değerini unutmamak gerekir."]},"beginTime":1208,"endTime":1245,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1208&ask_summarization=1"},{"index":8,"title":"Pascal Üçgeni ve Kombinasyon","list":{"type":"unordered","items":["Konuşmacı, birinci ve ikinci elemanın sıfır ve bir ile başladığını, beşinci elemanın ise sekizin dörtlüsü olduğunu açıklıyor.","Pascal üçgenindeki sayıların açılımdaki katsayıları oluşturduğunu belirtiyor.","Pascal özdeşliğinin kombinasyondan geldiğini anlatıyor."]},"beginTime":1249,"endTime":1391,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1249&ask_summarization=1"},{"index":9,"title":"Binom Açılımı Giriş","list":{"type":"unordered","items":["Konuşmacı, binom açılımına haftaya yapılacak bir giriş yapacağını söylüyor.","Pascal üçgenindeki sayıların kombinasyon değerlerinden (n'in sıfırlısı, birisi, ikilisi vb.) geldiğini açıklıyor.","n. kuvvetin terim sayısının n+1 olduğunu ve terimlerin katsayılarının kombinasyon değerlerinden geldiğini belirtiyor."]},"beginTime":1391,"endTime":1603,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1391&ask_summarization=1"},{"index":10,"title":"Hafta Sonraki Ders","list":{"type":"unordered","items":["Konuşmacı, hafta sonraki dersin binom açılımı olduğunu ve mükemmel bir ders olacağını söylüyor.","Pascal üçgeninin açılımın göstergesi olduğunu ve kombinasyonla ilişkisini anlatıyor.","Pascal özdeşliğinin kombinasyondan geldiğini tekrar vurguluyor."]},"beginTime":1603,"endTime":1715,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1603&ask_summarization=1"},{"index":11,"title":"Video Kapanışı","list":{"type":"unordered","items":["Konuşmacı, Pascal üçgeninde altıncı sıradaki tam ortadaki elemanın ne olduğunu yorumlara beklediğini söylüyor.","İzleyicilerden like butonuna basmalarını ve haftaya görüşmek üzere veda ediyor."]},"beginTime":1715,"endTime":1740,"href":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1715&ask_summarization=1"}],"linkTemplate":"/video/preview/6871097579801843868?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Pascal Üçgeni | 10. 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Sınıf ekim ayı programını indirmek için buraya tıklayabilirsin👉 http://bit.ly/10-ekim-kamp 10.sınıflar! #matematik dersinde ''Binom, Pascal Üçgeni ve Soru Çözümü\" konusunu yeni nesil sorular...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3831564/94607f89897735216e0364cee4227231/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/0FA2uwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=videoid:11126432839495123567","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin Pascal üçgeni ve binom açılımı konusunu anlattığı kapsamlı bir eğitim içeriğidir. Öğretmen, konuyu adım adım ve pratik örneklerle açıklamaktadır.","Video, Pascal üçgeninin tanımı ve özellikleri ile başlayıp, binom açılımının nasıl yapıldığını detaylı şekilde ele almaktadır. Öğretmen, kombinasyonların binom açılımındaki rolünü, terim sayısının nasıl belirlendiğini, katsayıların nasıl hesaplandığını ve belirli terimlerin nasıl bulunacağını örneklerle açıklamaktadır. Ayrıca katsayılar toplamı, sabit terim bulma ve ortanca terim gibi konular da videoda işlenmektedir.","Videoda ısınma soruları, antrenman ve zor sorular yer almaktadır. Öğretmen, öğrencilere konuyu anlamaları için \"Aç Test Kitabı\" ve \"Aç Tonguç 10. Sınıf Kitabı\" gibi kaynakları kullanmalarını tavsiye etmektedir. Video, ödüllü soru cevap bölümüyle sonlanmaktadır."]},"endTime":2583,"title":"Pascal Üçgeni ve Binom Açılımı Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Pascal Üçgeni ve Binom Açılımı Tanıtımı","list":{"type":"unordered","items":["Yeni konu Pascal üçgeni ve binom açılımı olarak tanıtılmıştır.","Permütasyon konusuyla bu konu arasında hiçbir alakası yoktur, kombinasyonla ise çok az bir ilişkisi vardır.","Konuyu anlamanız için kalem kağıt alıp, öğretmenin yazarken siz de yazmanız ve geçişleri iyi anlamak istenmektedir."]},"beginTime":4,"endTime":45,"href":"/video/preview/11126432839495123567?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4&ask_summarization=1"},{"index":1,"title":"Binom Açılımları ve Pascal Üçgeni","list":{"type":"unordered","items":["(x+y) üzeri 1, (x+y) karesi ve (x+y) küpü gibi binom açılımlarının katsayıları incelenmiştir.","Pascal üçgeni, binom açılımlarının katsayılarının ortalamaya yazıldığında oluşan üçgen şeklindeki dizidir.","Pascal üçgeni, yanları bir olan ve uzayıp giden bir üçgendir."]},"beginTime":45,"endTime":137,"href":"/video/preview/11126432839495123567?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=45&ask_summarization=1"},{"index":2,"title":"Pascal Üçgeninin Özellikleri","list":{"type":"unordered","items":["(x+y) üzeri n ifadesinde n+1 terim vardır.","Pascal üçgenindeki katsayılar, kombinasyonlarla ilişkilidir: (x+y) üzeri n'de n'nin kombinasyonları kullanılır.","Bir sayının sıfırıncı kuvvetinde bir katsayı gelir ve terim sayısı bir fazla olur."]},"beginTime":137,"endTime":224,"href":"/video/preview/11126432839495123567?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=137&ask_summarization=1"},{"index":3,"title":"Pascal Üçgeni Örnek Sorusu","list":{"type":"unordered","items":["Pascal üçgeninde eleman sayısı dokuz ise, bu sayı n+1 olduğundan n=8'dir.","Satırın dördüncü elemanı 8'in 3'lüsüdür (8×7×6)/(3×2×1) = 56.","Tüm elemanların toplamı, 8 elemanlı bir kümenin alt küme sayısıdır ve 2 üzeri 8'e eşittir."]},"beginTime":224,"endTime":387,"href":"/video/preview/11126432839495123567?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=224&ask_summarization=1"},{"index":4,"title":"Binom Açılımının Kombinasyon İlişkisi","list":{"type":"unordered","items":["Binom açılımında katsayılar kombinasyonlarla ifade edilebilir: 1, 1 1, 1 2 1 şeklinde devam eder.","Kombinasyonların özellikleri kullanılarak binom açılımı daha anlaşılır hale getirilebilir.","Binom açılımında her terim kombinasyonlarla gösterilir ve katsayıları kombinasyon değerlerinden 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sunmaktadır."]},"beginTime":1052,"endTime":1497,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1052&ask_summarization=1"},{"index":5,"title":"Yılbaşı Gecesi Konuklar","list":{"type":"unordered","items":["Ebru Gündeş, Serdar Ortaç ve Pascal yılbaşı gecesinde konuk olarak yer almaktadır.","Konuklar arasında Pascal'ın tercümanı olarak çalıştığı belirtilmektedir.","Ebru Gündeş, Serdar Ortaç ve diğer sanatçıların bu yılbaşı gecesinde orkestralarıyla birlikte sahneye çıkması için tercih ettikleri belirtilmektedir."]},"beginTime":1497,"endTime":1597,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1497&ask_summarization=1"},{"index":6,"title":"Geçen Yılın Değerlendirmesi","list":{"type":"unordered","items":["Ebru Gündeş, geçen yılın kendisi için \"süper süper\" geçtiğini, hastalığından sonra sağlıkın en önemli şey olduğunu ifade etmektedir.","Pascal, sağlıkın çok önemli olduğunu ve ülkedeki herkesin huzurlu olması gerektiğini vurgulamaktadır.","Pascal, yaşın insanın isteklerini nasıl etkilediğini anlatmakta, 20'li yaşlarda her şeyin kendi olmasının istenmesi, 30'lu yaşlarda biraz daha az şeyin yetmesi ve 40'lı yaşlarda başkalarının mutluluğunun bizi mutlu etmesi gerektiğini belirtmektedir."]},"beginTime":1597,"endTime":1893,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1597&ask_summarization=1"},{"index":7,"title":"Yurt Dışı Yaşam Deneyimi","list":{"type":"unordered","items":["Pascal, yurt dışında Türk restoranı gördüğünde kendini Türk hissettiğini ve nedenini bilmediğini ifade etmektedir.","Pascal, Türk insanının samimi olduğunu ve bize benzeyen insanları sevdiğini belirtmektedir.","Ebru Gündeş, Beyaz Show'un 15. senesine girdiklerini ve her hafta insanların önünde kendilerini sınattıklarını paylaşmaktadır."]},"beginTime":1893,"endTime":2032,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=1893&ask_summarization=1"},{"index":8,"title":"2010 Yılı Yorumları","list":{"type":"unordered","items":["Konuşmacılar 2010 yılındaki olayları değerlendiriyor.","Plaka plaka, yerli plaka yerli yunanca sözleri yazan çok değerli bir yazardan bahsediliyor.","Seyircisiz maçı bilet alan Ulvi, cuma namazı kalabalık olur diye cumartesi kılan Ulvi gibi karakterlerden söz ediliyor."]},"beginTime":2047,"endTime":2210,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=2047&ask_summarization=1"},{"index":9,"title":"Ebru Gündeş ve Serdar Ortaç İlişkisi","list":{"type":"unordered","items":["Konuşmacılar Ebru Gündeş ve Serdar Ortaç arasındaki ilişkiyi sorguluyor.","Serdar Ortaç, Ebru Gündeş'e düğünde bir şarkı hediye ettiğini ve Ebru'nun bu şarkıyı beğendiğini belirtiyor.","Şarkıda \"Bugün aşkımın sonuncu pazartesi\" ifadesi kullanılmış ve bunun üzerine bir tartışma yaşanmış."]},"beginTime":2210,"endTime":2516,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=2210&ask_summarization=1"},{"index":10,"title":"Yeni Yıl Kutlaması","list":{"type":"unordered","items":["Konuşmacılar yeni yıla biraz önce girdiklerini ve hayırlı uğurlu yeni yıl dileklerini paylaşıyorlar.","On'dan geriye sayarak yeni yıl kutlaması yapıyorlar.","\"Bu dünyadaki en mutlu kişi sevmeyi öğrendim\" başlıklı şarkılar söyleniyor."]},"beginTime":2516,"endTime":2661,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=2516&ask_summarization=1"},{"index":11,"title":"Şarkı Performansları","list":{"type":"unordered","items":["\"Bir kez daha o kadar acımı görür gibiyim ben\" başlıklı şarkı söyleniyor.","\"Sen harikasın\" şarkısı performansı gerçekleşiyor.","Ebru Gündeş ve Harbiye'nin açıkhava konserlerinde söyledikleri \"Bilsem ki bir daha hiç dönmeyecek\" şarkısından bahsediliyor."]},"beginTime":2661,"endTime":2943,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=2661&ask_summarization=1"},{"index":12,"title":"Konserin Sonu","list":{"type":"unordered","items":["Rahmetli Kazım Koyuncu'ya büyük bir alkış veriliyor.","Cem Yılmaz'a teşekkür ediliyor.","Herkese sağlık, mutluluk, aşk ve para dileniyor."]},"beginTime":2943,"endTime":3079,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=2943&ask_summarization=1"},{"index":13,"title":"Şarkı Performansı","list":{"type":"unordered","items":["Bir şarkı performansı veriliyor, şarkıda ayrılık ve mutsuzluk duyguları anlatılıyor.","Şarkıda \"bilsem ki gözyaşım hiç dinmeyecek\" ifadesi tekrarlanıyor.","Şarkı \"Ebru Gündeş\" adlı sanatçının performansı olarak sunuluyor."]},"beginTime":3088,"endTime":3445,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=3088&ask_summarization=1"},{"index":14,"title":"Orhan Gencebay Şarkısı","list":{"type":"unordered","items":["Orhan Gencebay'ın \"Ne Sevenim Var Ne Soranım Var\" adlı şarkısı performansı veriliyor.","Şarkıda yalnızlık, dert ve sevgiliden ayrılık acısı anlatılıyor.","Şarkı sonunda \"Gönül uslan artık deli gönül\" sözleriyle bitiyor."]},"beginTime":3445,"endTime":3647,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=3445&ask_summarization=1"},{"index":15,"title":"Pascal ve Kızı Merih","list":{"type":"unordered","items":["Pascal'ın 15 yaşında olan kızı Merih ile tanıştırılıyor.","Merih, Türkiye'de yaşamak istediğini belirtiyor.","Pascal, Fransa'ya sadece çocuklarını görmeye gittiğini, Türkiye'de kendini çok iyi hissettiğini söylüyor."]},"beginTime":3647,"endTime":3782,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=3647&ask_summarization=1"},{"index":16,"title":"Yeni Yıla Giremeyenler","list":{"type":"unordered","items":["Yeni yıla giremeyen kişilerin anlatımları sunuluyor.","Bazı kişiler, yeni yıla giremediklerini hissederken üzülüyor.","Bir ailede baba 2011'e girdi, oğlu ise 2010'da kalmış durumda."]},"beginTime":3782,"endTime":4113,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=3782&ask_summarization=1"},{"index":17,"title":"Dans Yarışması","list":{"type":"unordered","items":["Pascal'ın dans yarışmasından yedi kişi kaldığı belirtiliyor.","Pascal, dans yarışmalarından görüntüler gösterilebileceği söyleniyor."]},"beginTime":4113,"endTime":4176,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4113&ask_summarization=1"},{"index":18,"title":"Konukların Tanıtımı","list":{"type":"unordered","items":["Konuk olarak Pascal ve yarışmadaki partneri Valeria davet ediliyor.","Pascal'ın yabancı bir kız arkadaşının olup olmadığı ve ona da büyük aşk şarkıları yazıp yazamadığı soruluyor.","Pascal, sosyal sınırlamalar nedeniyle istediği insanlarla birlikte olamadığını ve üniversitelerde bile tanışma imkanının olmadığını belirtiyor."]},"beginTime":4190,"endTime":4357,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4190&ask_summarization=1"},{"index":19,"title":"Evlilik ve Şöhret","list":{"type":"unordered","items":["Pascal, bir gün sahneden inip seyirci olmayı düşündüğünü ama şöhret ve para gibi şeyleri Allah'ın kendisine verdiğini söylüyor.","Pascal, kırk yaşına gelmiş olmasına rağmen evlenmediğini ve Allah'ın bazı şeyleri kendisinden aldığını belirtiyor.","Pascal, evliliğin bir yıl sonra dolacağını ve çocuğun evliliğin meyvesi olduğunu söylüyor."]},"beginTime":4357,"endTime":4461,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4357&ask_summarization=1"},{"index":20,"title":"Evliliğin Etkileri","list":{"type":"unordered","items":["Konuşmacı, evliliğin kendisine dinginlik ve rölanti getirdiğini, daha rahat hissettiğini belirtiyor.","Pascal, günlük hayatında sahnedeki gibi olmadığını ve herkesin onu yorgun sanarak \"otursana\" dediğini söylüyor.","Pascal, evlenmek istediğini ve ailesindeki diğer kardeşlerin evlendiğini, sadece kendisinin kalmadığını belirtiyor."]},"beginTime":4461,"endTime":4609,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4461&ask_summarization=1"},{"index":21,"title":"Albüm ve Şarkı","list":{"type":"unordered","items":["Ebru'nun albümünün yaklaşık dört-beş hafta sonra çıkacağı belirtiliyor.","Albümün adı \"Beyaz\" olarak açıklanıyor.","Programda Ebru'nun albümünden \"Ağlamayacağım\" adlı bir şarkı okunuyor."]},"beginTime":4609,"endTime":4712,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4609&ask_summarization=1"},{"index":22,"title":"Şarkı Hakkında Sohbet","list":{"type":"unordered","items":["Konuşmacı, \"Ağlamayacağım\" adlı şarkının özellikle ayrılmış veya erkekten sıkıntı çeken kadınlar tarafından evde dinleneceğini belirtiyor.","Şarkının erkekler tarafından da dinlendiği bilinmeyen bir konu olarak sunuluyor.","Şarkı Sinan Akçıl'ın parçası olduğu ve konuşmacının onu sevdiği belirtiliyor."]},"beginTime":4724,"endTime":4790,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4724&ask_summarization=1"},{"index":23,"title":"Albüm Hakkında Değerlendirme","list":{"type":"unordered","items":["Konuşmacı, albümün güzel olduğunu ve girişten belli olduğunu söylüyor.","Serdar adlı kişi, \"Ağlamayacağım\" şarkısını çok sevdiğini ve kendi iki şarkısının da albümden okunduğunu belirtiyor.","Programda bir milli piyango bileti satıcısının davet edildiği duyuruluyor."]},"beginTime":4790,"endTime":4873,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4790&ask_summarization=1"},{"index":24,"title":"Milli Piyango Bileti Satıcısı Selim Topal","list":{"type":"unordered","items":["İzmirli milli piyango bileti satıcısı Selim Topal, 1992'den beri bu işi yaptığını belirtiyor.","İzmir'in Bayındır ilçesinde sahte bilet olayından dolayı jandarma tarafından yakalandığını anlatıyor.","Sırtında taşıdığı 11 inç, 30 kilo ağırlığında televizyonla reklam yaparak satışlarını artırdığını söylüyor."]},"beginTime":4873,"endTime":4956,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4873&ask_summarization=1"},{"index":25,"title":"Televizyon ve Satışlar","list":{"type":"unordered","items":["Selim Topal, televizyonu bir aydır taşıdığını ve en çok milli piyango reklamını seyrettiklerini belirtiyor.","Televizyonu taktıktan sonra satışlarının 2000 liraya kadar arttığını söylüyor.","Zabıta ekibi tarafından televizyonunun tezgahına indirildiğini anlatıyor."]},"beginTime":4956,"endTime":4984,"href":"/video/preview/9766228456030293694?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=4956&ask_summarization=1"},{"index":26,"title":"Milli Piyango Bileti Tartışması","list":{"type":"unordered","items":["Selim Topal, 31 Aralık 2020 tarihli milli piyango biletlerini gösteriyor.","Konuşmacı, sahte bilet satmaya devam 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Videoda Taçmin, Nihat, Pascal, Acun Bey ve Asena gibi yarışmacılar yer almaktadır.","Videoda öncelikle Taçmin'in yarışmayı ünlüler tarafından kazanılmasını istemediği ve gönüllü kardeşlerinden birinin kazanması için çaba gösterdiği anlatılmaktadır. Ardından yarışmacılar arasında yaşanan bir tartışma gösterilmekte ve Acun Bey'in taşikardi nedeniyle bayılması sonucu konsey sonuçlarının açıklanmaması kararlaştırılmaktadır. Yarışmacılar arasında yaşanan gerginlikler ve Asena'nın sağlık durumu programın ana konularını oluşturmaktadır."]},"endTime":410,"title":"Yarışma Programı Konsey Sahnesi","beginTime":0}],"fullResult":[{"index":0,"title":"Yarışmacılar Arasındaki Tartışma","list":{"type":"unordered","items":["Konuşmacı, yarışmanın ünlüler tarafından kazanılmasını istemediğini, gönüllü yarışmacıların kazanması durumunda onlar için büyük bir şans olacağını belirtiyor.","Taçmin adlı yarışmacının yarışmada kalmasını istediğini ve arkadaşlarına bunu söylediğini anlatıyor.","Yarışmacılar arasında gerginlik ve tartışma yaşanıyor, biri diğerine dokunmamaları gerektiğini söylüyor."]},"beginTime":0,"endTime":155,"href":"/video/preview/10796951947750220569?parent-reqid=1769443900848473-130551612470954212-balancer-l7leveler-kubr-yp-vla-245-BAL&text=Pascal+Huge+-+Topic&t=0&ask_summarization=1"},{"index":1,"title":"Kadınların Hırsından Korkma","list":{"type":"unordered","items":["Konuşmacı, kadınların hırsından 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