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Videoda Mahir adında bir yerel rehber ve Zeynep adında bir köy sahibi de yer almaktadır.","Video, çiftin Azure Cave Suites'te üç gün kalmasıyla başlayıp, Göreme Açık Hava Müzesi, Tokalı Kilisesi ve Uçhisar Kalesi gibi turistik yerleri ziyaret etmelerini göstermektedir. Ardından Avanos'a geçilerek çömlekçilik geleneği, Hitit tarzı eser yapımı ve Selçuklu mimarisi binikiyüzkırkbir li yıllara dayanan eski evler incelenmektedir. 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#goremegezilecekyerler Göreme, Kapadokya bölgesinin merkezinde yer alan en baştaki gezilecek yerler arsıdaa ilk sırada gelmektedir. Bölgenin tarihi mirasları ve mistik atmosferi ile ünlü...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/221119/4bd6781dde1afcab8a9b774dfc62b760/564x318_1"},"target":"_self","position":"7","reqid":"1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=videoid:2614278312634743046","teaser":[{"list":{"type":"unordered","items":["Bu video, bir gezi rehberi formatında Göreme hakkında detaylı bilgiler sunan bir içeriktir. Konuşmacı, neredeyse bir aylık bir gezi sonrası Göreme hakkında kapsamlı bilgiler aktarmaktadır.","Video, Göreme'nin jeolojik oluşumu, tarihi ve doğal güzellikleri hakkında bilgiler içermektedir. Göreme'nin milyonlarca yıl önce kıtaların Türkiye'yi sıkıştırmasıyla oluştuğu, Bizans ve Sasani imparatorlukları arasındaki çatışmalardan kaçan ilk Hristiyanların yerleştiği ve bölgede 350'den fazla manastır ve kilise inşa edildiği anlatılmaktadır. Ayrıca Göreme'de gezilecek yerler (Aşk Vadisi, Çavuşin Köyü, Kızıl Çukur Vadisi, Paşabağ Vadisi, Zemi Vadisi, Kılıçlar Vadisi, Aydın Kırağı, Azize Barbara Şapeli, Yusuf Koç Kilisesi, Çarıklı Kilise, En Nazar Kilisesi, Elmalı Kilise, Karanlık Kilise, Tokalı Kilise ve Aziz Basil Şapeli) ve özellikle Aydın Kırağı (Sanct Point) ziyaretinin zamanlaması hakkında tavsiyeler verilmektedir."]},"endTime":859,"title":"Göreme Gezi Rehberi","beginTime":0}],"fullResult":[{"index":0,"title":"Göreme'nin Tarihi ve Jeolojik Oluşumu","list":{"type":"unordered","items":["Göreme, Kapadokya'nın büyüleyici bir parçası olup turistlere eşsiz deneyimler sunar ve birçok peribacası ve vadiyle ünlüdür.","Göreme'nin jeolojik oluşumu, aktif yanardağların patlamasıyla değil, milyonlarca yıl önce kıtaların Türkiye'yi sıkıştırması sonucu oluşan patlamadan kaynaklanmaktadır.","Göreme'nin tarihi M.S. 7. yüzyılın başlarına kadar uzanır ve bu dönemde Bizans ve Sasani imparatorlukları arasındaki çatışmalardan kaçan ilk Hristiyanlar bu bölgeye yerleşmiştir."]},"beginTime":27,"endTime":97,"href":"/video/preview/2614278312634743046?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=27&ask_summarization=1"},{"index":1,"title":"Göreme'nin Tarihi Yapıları","list":{"type":"unordered","items":["8. yüzyıl itibarıyla Bizans İmparatorluğu'nun baskısı nedeniyle Göreme'ye sığınaklar kurulmuş ve vadide 350'den fazla manastır ve kilise inşa edilmiştir.","Bu tarihi yapılar duvarlarda İncil sahnelerinin yanı sıra geometrik motiflerin işlendiği özel eserlere ev sahipliği yapmaktadır.","Göreme'nin doğal güzellikleri ve zengin tarihi bölgeyi Kapadokya'nın en etkileyici ve önemli bölgelerinden biri haline getirir."]},"beginTime":97,"endTime":130,"href":"/video/preview/2614278312634743046?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=97&ask_summarization=1"},{"index":2,"title":"Göreme'nin Doğal 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Youtube kanalımıza abone olmay...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2463024/b959e4c2415f24b9e6bc18ee58f5d0f0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/V0xhTAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=videoid:7120507820800422483","teaser":[{"list":{"type":"unordered","items":["Bu video, \"Gitti Gördüm, Geldim\" serisinin bir bölümü olup, sunucu San Francisco'ya yaptığı bir ziyaret sırasında Silikon Vadisi'ndeki önemli teknoloji şirketlerini tanıtmaktadır.","Video, Silikon Vadisi'nin başlangıç noktası olarak kabul edilen HP'nin garajından başlayarak, Apple'ın ilk garajı, Cisco'nun kampüsü, Google'ın Matum 1 kompleksi ve Intel'in müzesi gibi önemli teknoloji şirketlerinin merkezlerini ziyaret ediyor. Her şirket için kısa tarihçesi, kuruluş yılları ve günümüzdeki konumları hakkında bilgiler veriliyor. Ayrıca Silikon Vadisi'ndeki yaşam tarzı, bisikletlerle ulaşım ve yatırımcılar için popüler kafeler gibi detaylar da paylaşılıyor."]},"endTime":576,"title":"Silikon Vadisi Turu","beginTime":0}],"fullResult":[{"index":0,"title":"Silikon Vadisi Ziyareti","list":{"type":"unordered","items":["Dünyanın önde gelen teknoloji markalarının merkezlerini ve yurt dışında yapılan etkinliklerini ziyaret eden bir kişi, San Francisco'ya geldiğinde Silikon Vadisi'ni ziyaret etmeyi tercih etti.","Silikon Vadisi'nin başlangıç noktası kabul edilen David Maker'ın garajı, Kaliforniya'da Edison Caddesi 367 numarada bulunuyor ve 1987 yılında eyaletin resmi simgelerinden biri olarak kabul edilmişti.","HP garajı 2005 yılında restorasyon yapılmış ve şu an ziyaret edilemiyor."]},"beginTime":2,"endTime":55,"href":"/video/preview/7120507820800422483?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=2&ask_summarization=1"},{"index":1,"title":"HP'nin Tarihi","list":{"type":"unordered","items":["Garajın ilk sahibi Palo Alto'nun ilk belediye başkanı Dr. John Spencer'dı, daha sonra 1938 yılında Lucyl ve David Packer çiftine geçti.","Stanford Üniversitesi'nden sınıf arkadaşı Bill Hewlett, evin yanındaki barakada yaşıyordu ve Bill ile David, garajda icat ruhuyla yarattıkları ürünleri satmaya başlamışlardı.","Bill Hewlett tarafından gerçekleştirilen ses osilatör olan HP 200A, Packer'ın ilk resmi ürünü oldu ve WTTiste'ye yapılan sekiz adetlik HP 200B osilatör satışı firmanın ilk büyük satışıydı."]},"beginTime":55,"endTime":96,"href":"/video/preview/7120507820800422483?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=55&ask_summarization=1"},{"index":2,"title":"HP'nin Kuruluşu","list":{"type":"unordered","items":["Bill Hewlett ve David Packard 1939 yılında kendi aralarında bir ortaklık anlaşması imzaladılar ve firmanın adını koymak üzere önce kimin soyadının yazılacağına yazı trolyla 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bir karı koca tarafından kurulmuş ve şu an dünyanın en büyük network ekipmanları üreticisi.","Şu an önünde bulunduğumuz kampüs tam 55 binadan oluşuyor ve binlerce insan çalışıyor.","Cisco'nun üzerindeki simge sanılanın aksine üsttekiler network sinyallerini göstermiyor, San Francisco'nun meşhur köprüsünün silüeti."]},"beginTime":281,"endTime":309,"href":"/video/preview/7120507820800422483?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=281&ask_summarization=1"},{"index":6,"title":"Google","list":{"type":"unordered","items":["Google, Stanford kökenli bir firma olup, iki bilgisayar mühendisliği öğrencisi Selvi Green ve Larry Page'in arama motoru oluşturmak adına 1966'da bir araya gelerek kurdukları bir şirket.","Google şu an için dünyanın en iyi arama motoru ve birçok farklı alanlarda da iyi oynayan bir firma.","Google'ın Matum 1'deki kompleks dört tane ana binadan oluşan etrafında çeşitli ofislere serpiştirilmiş bir yapı ve 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Eğitmen, Alparslan Ceren Alparslan Hoca'nın \"Matematik Vadisi\" kitabından örnekler kullanarak konuyu anlatmaktadır.","Videoda integral konusu kapsamlı şekilde ele alınmaktadır. Eğitmen, önceki kayıtlardan kalan soruları çözmekte, tarama testlerine kadar tüm konuları kapsayan soruları adım adım çözmektedir. İçerikte yarıçaplı çemberlerin alanları, eşkenar üçgen etrafında dönen cisimler, robot hareketleri, fonksiyon modellemesi, integral dönüşümleri, geometri ve olasılık soruları, kesme ve katlama problemleri ve gerçek hayat problemi olarak kayak pisti oluşturma sorusu bulunmaktadır.","Eğitmen, soruları çözerken grafikler çizerek konuyu görselleştirmekte ve öğrencilerin bu tür soruları nasıl çözebileceklerini göstermektedir. Video, sınavlarda çıkabilecek soru tipleri hakkında bilgi vererek öğrencilere yardımcı olmayı amaçlamaktadır."]},"endTime":1827,"title":"İntegral Konusu Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"İntegral Dersinin Üçüncü Kaydı","list":{"type":"unordered","items":["İntegral dersinin üçüncü kaydında, önceki kayıtlarda konuşulan konuların devamı ve tarama testlerine kadar tüm başlıklardan soru çözülecek.","Tarama testleri, kitabı alan öğrencilere ödev olarak verilecek ve tüm konuları kapsayan bir bölüm olacak.","Matematik Vadisi Alparslan Ceren Alparslan Hoca'nın integral fasikülünden sorular çözülecek ve kitabın linkleri açıklama kısmında paylaşılacak."]},"beginTime":0,"endTime":49,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=0&ask_summarization=1"},{"index":1,"title":"İntegral ve Geometri Sorusu","list":{"type":"unordered","items":["Yarıçapı iki birim olan iki eş çeyrek çember dik koordinat düzlemine yerleştirilerek, E fonksiyonunun grafiğinin 20 noktasına göre simetri alınarak G fonksiyonunun grafiği elde ediliyor.","Sıfırdan dörde integral f(x) - g(x) sorusunda, üstteki eğri (f(x)) alttaki eğri (g(x))dan çıkarılarak alan hesaplanıyor.","Alan hesaplaması için parçalar birleştirilerek kare şeklinde bir şekil elde ediliyor ve karenin alanı 8 birim kare olarak bulunuyor."]},"beginTime":49,"endTime":223,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=49&ask_summarization=1"},{"index":2,"title":"Eşkenar Üçgen Sorusu","list":{"type":"unordered","items":["ABC eşkenar üçgeninin A köşesinde bulunan bir noktadan cisim sabit hızla sürekli üçgenin etrafında turluyor ve bir turu dört saniyede atıyor.","Cismin hareketi boyunca A noktasına olan uzaklığının zamana bağlı modeli soruluyor.","Uzaklık grafiği periyodik bir fonksiyon olarak çiziliyor ve 0, 6, 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olduğunda, f(2x) fonksiyonunun alanı 25 birim kare olarak bulunur.","İntegral dönüşümleri ve integral geometri soruları, öğrencilere tekrar yapma fırsatı sunar."]},"beginTime":655,"endTime":783,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=655&ask_summarization=1"},{"index":7,"title":"Fonksiyonların Simetri Özellikleri","list":{"type":"unordered","items":["f(x) fonksiyonunun grafiği üzerindeki (x₁, y₁) noktası, (1,1) noktasına göre simetriktir.","Boyalı bölgenin alanı 0,40 birim kare olduğunda, 12g(x) fonksiyonunun alanı 1,40 birim kare olarak hesaplanır.","Fonksiyonların simetri özellikleri kullanılarak, integral soruları çözülebilir."]},"beginTime":783,"endTime":999,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=783&ask_summarization=1"},{"index":8,"title":"İntegral ve Olasılık","list":{"type":"unordered","items":["f(x) = 2 - √x fonksiyonunun grafiği üzerinde rastgele seçilen bir noktanın x eksenine olan uzaklığının y eksenine olan uzaklığından daha küçük olması olasılığı hesaplanır.","Tüm durum alanı 8/3 birim kare olarak bulunur.","İstenen durum alanı 11/6 birim kare olarak hesaplanır ve olasılık 11/16 olarak bulunur."]},"beginTime":999,"endTime":1136,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=999&ask_summarization=1"},{"index":9,"title":"İntegral Kesme ve Katlama","list":{"type":"unordered","items":["İki eş dikdörtgen biçimdeki şeffaf kağıt parçasının üzerine x fonksiyonlarının grafikleri çizilir.","Yeşil renkli grafiğin üç noktası y ekseni üzerinde kalacak biçimde bu iki kağıt parçası dik korunak üzerine yerleştirilir."]},"beginTime":1136,"endTime":1153,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1136&ask_summarization=1"},{"index":10,"title":"İntegral ve Kesme Katlama Problemleri","list":{"type":"unordered","items":["İntegral bazında kesme katlama problemlerinde değişmeyen şey, eğrilerin altında kalan alanlardır.","Bir kare biçimindeki kağıdın köşegeni çizildikten sonra düşey yönde katlanması sonucunda oluşan kırmızı renkli doğru parçaları, f(x) fonksiyonunun grafiği olarak tanımlanır.","Katlama işlemi her seferinde alanı yarıya indirir, örneğin bir kere katlandığında alan 1/2, iki kere katlandığında 1/4, üç kere katlandığında 1/8 olur."]},"beginTime":1160,"endTime":1380,"href":"/video/preview/11083055126378898915?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1160&ask_summarization=1"},{"index":11,"title":"İntegral 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İçerikte dik koordinat düzleminde hareket eden bakır telin oluşturduğu şekillerin alanları, robot süpürgenin temizlik süresi, hayvanat bahçesindeki panda yaşlarının ortalaması, doğrusal ve artan fonksiyonlarla ilgili alan hesaplamaları ve kayak pisti üzerinde hareket eden kayakçının hareketi gibi farklı problem türleri ele alınmaktadır.","Öğretmen, her problemi çözerken grafikler çizerek ve tablolar oluşturarak çözüm yöntemlerini açıklamakta, geometri ve integral kavramlarını kullanarak detaylı açıklamalar yapmaktadır. Video, matematik dersinde integral ve geometri konularında pratik yapmak isteyen öğrenciler için hazırlanmıştır."]},"endTime":1788,"title":"Matematik Vadisi İntegral Fasikülü Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"İntegral Fasiklinden Devam","list":{"type":"unordered","items":["İlk integral kaydına gelen güzel yorumlar üzerine Alparslan Hoca'dan izin alınarak ikinci kayıt yapılmaktadır.","Matematik Vadisi'nin integral fasiklinden devam edilecek ve çözülecek sorularda problem bilgisi kullanılarak denklem kurulacak ve integral alınacaktır.","Çözülecek sorular klasik tek satırlık integral soruları değil, geometri üzerine alan soruları olacaktır."]},"beginTime":0,"endTime":50,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=0&ask_summarization=1"},{"index":1,"title":"Kitap Tanıtımı","list":{"type":"unordered","items":["Kitabın tamamının kaydırla kaydırla gösterildiği bir video Alparslan Hoca'nın kendi YouTube kanalında bulunmaktadır.","Kitabın tanıtımı ve tüm çözümleri YouTube kanalında mevcuttur.","Açıklama kısmında ve yorumlarda kitabın linkleri bırakılacaktır."]},"beginTime":50,"endTime":81,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=50&ask_summarization=1"},{"index":2,"title":"İlk Soru Çözümü","list":{"type":"unordered","items":["Şekil birdeki dik koordinat düzleminde uç noktaların koordinatları A(20,0) ve B(15,0) olarak verilmiştir.","Bakır tel eğikliği bozulmadan uç noktaları eksenler üzerinde kalacak biçimde hareket ettirilerek şekil iki elde edilmiştir.","Yeşil ve mavi boyalı bölgelerin alanları sırasıyla Y ve M birim kare olduğuna göre Y-M farkı sorulmaktadır."]},"beginTime":81,"endTime":129,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=81&ask_summarization=1"},{"index":3,"title":"Sorunun Çözümü","list":{"type":"unordered","items":["B'den A'ya doğru parçası uzatıldığında, telin eğikliği bozulmadan döndürüldüğü için her iki kısmın uzunluğu da 25 birim olmalıdır.","Dik üçgenin alanı 20×15/2=150 birim kare olarak hesaplanmıştır.","Y-M farkı 66 birim kare olarak bulunmuştur."]},"beginTime":129,"endTime":284,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=129&ask_summarization=1"},{"index":4,"title":"İkinci Soru Çözümü","list":{"type":"unordered","items":["Bir robot süpürge hızlı ve yavaş olmak üzere iki farklı modda temizlik yapmaktadır.","Robot süpürge hızlı modda çalıştırıldığında 20 dakikada, yavaş modda çalıştırıldığında ise 30 dakikada evi temizlemektedir.","Robot süpürge önce hızlı modda çalıştırılıp bir süre sonra yavaş moda geçirildiğinde evin temizlenmesi 28 dakika sürmektedir."]},"beginTime":284,"endTime":415,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=284&ask_summarization=1"},{"index":5,"title":"Süpürge Problemi Çözümü","list":{"type":"unordered","items":["Hızlı süpürge dört dakika çalıştığında toplam 12V iş yapar ve bu 60V'lik işin %20'sini temsil eder.","Grafikte dört dakika hızlı modda çalışıldıktan sonra bir kırılma noktası oluşur ve geriye kalan %80 iş 24 dakikada tamamlanır.","Dört ile on dakika aralığında kalan alan hesaplanarak 140x3=420 birim kare bulunur."]},"beginTime":420,"endTime":614,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=420&ask_summarization=1"},{"index":6,"title":"Panda Yaş Ortalaması Problemi","list":{"type":"unordered","items":["Hayvanat bahçesindeki dört pandanın yaşları sırasıyla 4, 8, 9, 19'dur ve bir yıl geçtikten sonra en yaşlı panda ölüyor.","Her yıl en yaşlı panda öldüğünde geriye kalan panda sayısı azalır ve yaş ortalaması da değişir.","Bir'den dört'e kadar olan ortalama değerleri hesaplanarak toplam 23 birim kare bulunur."]},"beginTime":614,"endTime":827,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=614&ask_summarization=1"},{"index":7,"title":"İntegral Problemi Çözümü","list":{"type":"unordered","items":["İntegral hesaplamasında x=2u dönüşümü yapılarak doğrusal bir fonksiyon elde edilir.","Fonksiyonun derecesi 1 olmak zorunda olduğundan n=3 olarak bulunur.","Boyalı bölgenin alanı hesaplanarak 1/4 birim kare olarak bulunur."]},"beginTime":827,"endTime":959,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=827&ask_summarization=1"},{"index":8,"title":"Doğrusal ve Artan Fonksiyon Sorusu","list":{"type":"unordered","items":["Doğrusal ve artan bir fonksiyon için f(0) > 0, f(4) = 6 şeklinde bir grafik çizilebilir.","Soruda a \u003c 4 \u003c b olmak üzere integral a'dan dörde f(x) dx ile integral dört'ten b'ye f(x) dx'in eşit olduğu belirtiliyor.","Bu eşitlik, yamukta iki eşit alana bölünmüş bir yamukta, ortadaki uzunluk (e) ile ilgili bir formülle açıklanıyor."]},"beginTime":961,"endTime":1062,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=961&ask_summarization=1"},{"index":9,"title":"Yamuk Alan Kuralı","list":{"type":"unordered","items":["Yamuk iki eşit alana bölünmüş ve ortadaki uzunluk (e) ile ilgili bir formül oluşturuluyor.","Yamukta oluşan yüksekliklerin oranı (h1/h2) taban oranlarına (x/a) eşit oluyor.","Yamuk alan formülü kullanılarak 2x² = b² + a² ilişkisi elde ediliyor."]},"beginTime":1062,"endTime":1250,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1062&ask_summarization=1"},{"index":10,"title":"Sorunun Çözümü","list":{"type":"unordered","items":["Verilen değerler kullanılarak 2x² = 36 = b² + a² denklemi çözülüyor.","Yüksekliklerin toplamı (e+f) = 72 olarak bulunuyor.","Doğru yanıt D şıkkı olan 72 olarak belirtiliyor."]},"beginTime":1250,"endTime":1292,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1250&ask_summarization=1"},{"index":11,"title":"İntegral Sorusu Çözümü","list":{"type":"unordered","items":["Dik koordinat düzleminde f ve g fonksiyonlarının grafikleri verilmiş ve f(6) = 6, f(x) = 12 olduğu belirtilmiştir.","Sıfırdan a'ya kadar f(x) fonksiyonunun integrali 12 olduğundan, a = 4 olarak hesaplanmıştır.","Sıfırdan b'ye kadar g(x) - f(x) integrali, g ile f arasındaki alanın farkını bulmak anlamına gelmektedir."]},"beginTime":1293,"endTime":1363,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1293&ask_summarization=1"},{"index":12,"title":"Alan Hesaplama","list":{"type":"unordered","items":["Alan hesaplaması için a ve b olarak adlandırılan iki farklı alan belirlenmiştir.","Kare şeklindeki bir alan ve benzer üçgenler kullanılarak, a + s = 12 + b + s denklemi kurulmuştur.","Denklem çözülerek a - b = 12 olarak bulunmuştur."]},"beginTime":1363,"endTime":1515,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1363&ask_summarization=1"},{"index":13,"title":"Kayak Pisti Sorusu","list":{"type":"unordered","items":["16 metre çapında 100 eş yarım çember birbirine teğet olacak şekilde birleştirilerek bir kayak pisti yapılmıştır.","Kayakçının hızı saniyede π metre olup, yarım çemberin uzunluğu 8π metredir.","Kayakçının hareketi periyodik olup, 16π metrelik bir döngüde tamamlanmaktadır."]},"beginTime":1515,"endTime":1624,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1515&ask_summarization=1"},{"index":14,"title":"İntegral Hesaplama","list":{"type":"unordered","items":["İntegral hesaplamasında periyodik hareket nedeniyle, 16π'den 320π'ye kadar olan toplam sıfırdır.","320π'den 324π'ye kadar olan integral, dairenin yarım dairenin alanı olan 4π'dir.","Eğri x ekseninin altında kaldığı için doğru yanıt -4π olarak belirlenmiştir."]},"beginTime":1624,"endTime":1780,"href":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=1624&ask_summarization=1"}],"linkTemplate":"/video/preview/10154433723727400587?parent-reqid=1765261861141229-7546750962586489252-balancer-l7leveler-kubr-yp-vla-45-BAL&text=Vadim+Gor&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Daha Önce Görmediğiniz İntegral Soruları -2 | Matematik Vadisi","related_orig_text":"Vadim Gor","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Vadim 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