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• 2023 3D TYT VDD KONU Anlatim Kitabi Topic-by-topic lists: Function: • Fonksiyon Parabol: • Parabol Quadratic Inequalities: • 2.Dereceden Eşitsizlikler • 2.Dereceden Denklemler...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2050262/f7dcffffe16f770b024dbaa0a1312c86/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Px60JgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1773906937825953-3898726466697132376-balancer-l7leveler-kubr-yp-klg-270-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1773906937825953-3898726466697132376-balancer-l7leveler-kubr-yp-klg-270-BAL&text=videoid:7946362873176406262","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeni tarafından sunulan eğitim içeriğidir. Öğretmen, \"mini denemeler\" kapsamında çeşitli matematik sorularını çözmektedir.","Videoda toplam beş farklı matematik sorusu çözülmektedir. İlk bölümde parabol, polinomların bölünmesi, çember ve dikdörtgenlerle ilgili geometri problemleri ele alınırken, ikinci bölümde orantı, logaritma ve fonksiyonlar konularındaki problemler çözülmektedir. Her soru için öğretmen, çözüm yöntemini adım adım açıklamakta ve gerekli çizimleri yapmaktadır.","Öğretmen, diğer iki soruyu gelecek derslerde çözeceğini belirtmektedir. Video, matematik sınavlarına hazırlanan öğrenciler için temel matematik konularını kapsayan bir soru çözüm seti sunmaktadır."]},"endTime":1178,"title":"Matematik Soru Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Topuklu Ayakkabı Problemi","list":{"type":"unordered","items":["Topuklu ayakkabı görseli üzerinde f(x) = -x² + 4x - 12 parabolü çizilmiş ve AB = BC = 6 birim olduğuna göre ayakkabının topuk uzunluğu (TB) kaç birimdir soruluyor.","Parabolün kökleri -2 ve 6, tepe noktası (2, 16) olarak bulunuyor.","Ayakkabının topuğu tepe noktasından geçiyor ve TB uzunluğu 36 birim olarak hesaplanıyor."]},"beginTime":1,"endTime":201,"href":"/video/preview/7946362873176406262?parent-reqid=1773906937825953-3898726466697132376-balancer-l7leveler-kubr-yp-klg-270-BAL&text=Math+Minelap&t=1&ask_summarization=1"},{"index":1,"title":"Polinom Bölümü Problemi","list":{"type":"unordered","items":["P(x) = x - 1 polinomu verilmiş ve P(x²) üzeri 2021 polinomunun P(x) ile bölümünden kalan ax + b olduğuna göre b kaçtır soruluyor.","P(x²) = x² - 1 olarak bulunuyor ve P(x²) üzeri 2021 polinomunun x² - 1'e bölümünden kalanı bulmak için x = 1 ve x = -1 değerleri kullanılıyor.","b değeri -2²²⁰ olarak hesaplanıyor."]},"beginTime":201,"endTime":371,"href":"/video/preview/7946362873176406262?parent-reqid=1773906937825953-3898726466697132376-balancer-l7leveler-kubr-yp-klg-270-BAL&text=Math+Minelap&t=201&ask_summarization=1"},{"index":2,"title":"Çember ve Dikdörtgen Problemi","list":{"type":"unordered","items":["Bir çemberin içine AB çaplı çemberin içine üç tane özdeş dikdörtgen yerleştirilmiş ve MLK noktaları çember yayı üzerindedir.","Dikdörtgenlerin kenar uzunlukları a ve b olarak belirleniyor ve Pisagor teoremi kullanılarak r² = b² + (2a+b)² denklemi elde ediliyor.","a = 3/2b olarak bulunuyor ve tanjant alfa değeri 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fonksiyonun bileşkesi alındığında yine doğrusal fonksiyon elde edilir."]},"beginTime":32,"endTime":159,"href":"/video/preview/16076939624524629426?parent-reqid=1773906937825953-3898726466697132376-balancer-l7leveler-kubr-yp-klg-270-BAL&text=Math+Minelap&t=32&ask_summarization=1"},{"index":2,"title":"Sorunun Çözümü","list":{"type":"unordered","items":["Soruda verilen fonksiyon f(x) = mx + n şeklinde olup, f(f(f(x))) = m^3x + n^3 olarak bulunur.","Türevin limit tanımı kullanılarak f'(1) = 2f(1) = 2m + 2n = m^3 denklemi elde edilir.","Fonksiyonun üzerindeki bir nokta denklemi sağladığı bilgisiyle n = m/2 bulunur ve m = 3, n = 3/2 olarak hesaplanır."]},"beginTime":159,"endTime":384,"href":"/video/preview/16076939624524629426?parent-reqid=1773906937825953-3898726466697132376-balancer-l7leveler-kubr-yp-klg-270-BAL&text=Math+Minelap&t=159&ask_summarization=1"},{"index":3,"title":"Sonuç ve Değerlendirme","list":{"type":"unordered","items":["f(3) değeri 3x + 3/2 formülüne yerleştirilerek 21/2 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