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2024 ve yks 2025 için Ayt adına verdiğim bu ücretsiz kamp seni en kısa zamanda 70 netlere taşıyacak! Efsane Bilgin Gürek 48 Günde AYT Programi SAY-EA Derece İÇİN AYT KAMP Programi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3267083/eed5ab3134d783f0c054258d0ac96c03/564x318_1"},"target":"_self","position":"13","reqid":"1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=videoid:1326358484892007371","teaser":[{"list":{"type":"unordered","items":["Bu videoda bir eğitimci, yaklaşık 30-35 günlük emekle hazırladığı AYT kamp programını tanıtıyor. Eğitimci, TYT kampının başarılı olduğunu belirterek AYT kampını da benzer bir formatla hazırladığını ifade ediyor.","Video, hem ücretli hem de ücretsiz kamp programlarının detaylı tanıtımını içeriyor. Ücretsiz kamp, 15,45 net aralığındaki başlangıç seviyesindeki öğrenciler için hazırlanmış olup, günlük planlama, kaynak önerileri ve TYT konu eksikliklerine dönme gibi özellikler sunuyor. Ücretli kamp ise daha detaylı planlama, özel videolar ve Telegram grubu desteği gibi ek özellikler içeriyor. Program, matematik, biyoloji, fizik, kimya, edebiyat, coğrafya ve tarih derslerini kapsamakta ve Mert Hoca, Doktor, Özcan Aykın, Görkem Şahin ve Kadir Gümüş gibi eğitmenlerin videolarını kullanmaktadır."]},"endTime":482,"title":"AYT Kamp Programı Tanıtımı","beginTime":0}],"fullResult":[{"index":0,"title":"AYT Kampı Tanıtımı","list":{"type":"unordered","items":["Konuşmacı yaklaşık otuz-beş gündür AYT kampı üzerinde çalışarak, günlük yedi-sekiz saat bazen on iki saate kadar çalışarak bir kamp hazırladığını belirtiyor.","Konuşmacı, bu kampın şu zamana kadar yapılmış en iyi AYT programı olduğunu iddia ediyor ve izleyicilerden kanalına abone olmalarını ve like atmalarını istiyor.","Konuşmacı, yüksek fiyatlı koçluk hizmetlerine alternatif olarak \"hamburger fiyatına koçluk\" sunmayı hedeflediğini belirtiyor."]},"beginTime":1,"endTime":74,"href":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1&ask_summarization=1"},{"index":1,"title":"Ücretli Kamp İçeriği","list":{"type":"unordered","items":["Ücretli kamp içeriğinde \"Nereye kadar yükselebilirsin?\" başlıklı bir bölüm bulunuyor ve 23 netten başlayan bir öğrencinin 73 nete nasıl çıktığı anlatılıyor.","Programda kaynak önerileri, farklı kamp kullanmak isteyenler için tavsiyeler, okul olanlar için özel öneriler ve programın erken veya geç bitmesi durumunda yapılacaklar yer alıyor.","Kampın her on-onbeş günde bir videoları bulunuyor ve Telegram grubu üzerinden sorular sorulabiliyor."]},"beginTime":74,"endTime":136,"href":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=74&ask_summarization=1"},{"index":2,"title":"Kamp Planlama ve Kaynaklar","list":{"type":"unordered","items":["Kamp videosunda günlük planlama yapılıyor ve öğrencilere hangi soruları çözmeleri gerektiği belirtiliyor.","Konuşmacı, 85 günde AYT'yi bitirebileceğini söylüyor ve ilk elli alıma özel \"bilgin10\" koduyla indirimli alım imkanı sunuyor.","Ücretsiz kampın linkleri açıklama kısmında bulunabilir."]},"beginTime":136,"endTime":187,"href":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=136&ask_summarization=1"},{"index":3,"title":"Ücretsiz Kamp İçeriği","list":{"type":"unordered","items":["Ücretsiz kamp 15,45 net aralığındaki başlangıç seviyedeki öğrenciler için hazırlanmış.","Programda paragraf ve problem rutinleri yer almıyor, öğrenciler kendi rutinlerini ekleyebilirler.","Programda her gün belirli konular çalışılıyor ve TYT konu eksikliklerine dönülmesi öneriliyor."]},"beginTime":187,"endTime":237,"href":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=187&ask_summarization=1"},{"index":4,"title":"Strateji Yayınları ve Okul Öğrencileri İçin Öneriler","list":{"type":"unordered","items":["Konuşmacı, Strateji Yayınları'nın gün gün paragraf ve problem kitapları konseptini beğendiğini belirtiyor.","Okul öğrencileri için denemeleri çözmemeleri, haftalık konuları çalışıp pazar günleri TYT genel denemesi olarak denemeleri çözmeleri öneriliyor.","Programda TYT fen sosyal, matematik ve Türkçe denemeleri bulunuyor, böylece TYT'de körelme yaşanmıyor."]},"beginTime":237,"endTime":349,"href":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=237&ask_summarization=1"},{"index":5,"title":"Kamp İçeriği ve Hocalar","list":{"type":"unordered","items":["Kampın ağırlık programında matematikte Mert Hoca, biyolojide Doktor, fizikte Özcan Aykın ve kimyada Görkem Şahin kullanılıyor.","Programda OGM materyali kullanılıyor ve her konu için detaylı anlatımlar ve soru çözümleri sunuluyor.","Kamp yaklaşık 107 sayfalık bir rehberlik sayfası içeriyor ve edebiyatta Kadir Gümüş, coğrafyada \"Coğrafyanın Kodları\" ve tarihte konuşmacının hocası kullanılıyor."]},"beginTime":349,"endTime":474,"href":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=349&ask_summarization=1"}],"linkTemplate":"/video/preview/1326358484892007371?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"85 Günde AYT Netin 70'E Ulaşacak! 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Videoda öğretmen, öğrencilere soru-cevap şeklinde konuyu açıklamakta ve çeşitli deneyler yapmaktadır.","Video, kütle merkezi ve ağırlık merkezi kavramlarının temel prensiplerini ele almaktadır. İlk olarak kütle merkezi kavramı tanımlanmakta, ardından kütle merkezi ile ağırlık merkezi arasındaki farklar açıklanmaktadır. Daha sonra koordinat sisteminde kütle merkezi bulma formülleri detaylı olarak anlatılmakta ve günlük hayattan örneklerle konu pekiştirilmektedir.","Videoda tenis raketi deneyi, mantar-çatal sistemi, kuş oyuncakları, çubuk deneyi ve hacı yatmaz oyuncak gibi çeşitli örnekler kullanılarak konu somutlaştırılmaktadır. Ayrıca, sistemin ağırlık merkezinin dengede kalma prensibindeki rolü, tork kavramı ve sürtünme etkisi de detaylı şekilde anlatılmaktadır."]},"endTime":1657,"title":"Fizik Dersi: Kütle Merkezi ve Ağırlık Merkezi","beginTime":0}],"fullResult":[{"index":0,"title":"Kütle ve Ağırlık Merkezi Konusunun Tanıtımı","list":{"type":"unordered","items":["Kütle ve ağırlık merkezi konusu, tork ve dengenin uygulama alanıdır ve günlük hayatta çok karşılığı vardır.","Kütle merkezi ve ağırlık merkezi farklı kavramlardır ve kazanımlarda bu farklılık belirtilmiştir."]},"beginTime":4,"endTime":42,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=4&ask_summarization=1"},{"index":1,"title":"Kütle Merkezi Kavramı","list":{"type":"unordered","items":["Kütle merkezi, bir cismin kütlesinin tamamının toplandığı kabul edilen kütlenin ortalama konumudur.","Homojen ve türdeş cisimlerde (örneğin demir levha) kütle merkezi geometrik merkezdir.","Kütle merkezi, kocaman bir cismi tek bir noktaya indirgemek anlamına gelir ve bu noktaya cismin kütlesi toplam olarak düşünülebilir."]},"beginTime":42,"endTime":103,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=42&ask_summarization=1"},{"index":2,"title":"Kütle Merkezi Deneyi","list":{"type":"unordered","items":["Tenis raketi havaya fırlatılıp döne döne eğik atış hareketi yaparken, raketin kütle merkezi fosforlu turuncu bir nokta olarak boyanmıştır.","Karanlık ortamda bu nokta net görülebilir ve raket sanki bu noktaya indirgenmiş gibi hareket eder.","Eğik atış yapıldığında, sadece kütle merkezinin eğik atış yaptığını görebiliriz."]},"beginTime":103,"endTime":149,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=103&ask_summarization=1"},{"index":3,"title":"Kütle ve Ağırlık Kavramları","list":{"type":"unordered","items":["Kütle, bir maddeyi oluşturan atomlar ve moleküllerin toplam miktarıdır ve her yerde sabittir.","Ağırlık, kütlenin yerçekimine maruz kalmış halidir ve mg formülüyle hesaplanır.","Kütle merkezi ile ağırlık merkezi aynı nokta olmak zorunda değildir, özellikle uzun cisimlerde farklılık gösterir."]},"beginTime":152,"endTime":212,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=152&ask_summarization=1"},{"index":4,"title":"Kütle Merkezi ve Ağırlık Merkezi Arasındaki Fark","list":{"type":"unordered","items":["Yatay duran bir kalemin kütle merkezi ile ağırlık merkezi aşağı yukarı aynı noktadır çünkü yerçekimi ivmesi açısından fark ihmal edilebilir.","Gökdelen gibi uzun cisimlerde kütle merkezi ile ağırlık merkezi farklılık gösterir çünkü çekim ivmesi dünya yüzeyinden uzaklaştıkça azalır.","Ağırlık merkezi her zaman dünyaya daha yakındır çünkü dünya'ya yakın olan taraf dünya tarafından daha çok çekilir ve daha ağırdır."]},"beginTime":212,"endTime":492,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=212&ask_summarization=1"},{"index":5,"title":"Ağırlık Merkezi Hesaplama","list":{"type":"unordered","items":["İki eşit kütleye sahip bir cismin ağırlık merkezi, bu kütlelerin ortalama konumundadır.","Paralel kuvvetlerin bileşkesi, kuvvetlerin eşit olduğu durumda tam ortada toplanır.","Bir cismin ağırlık merkezi, sanki tüm ağırlığı toplanmış gibi düşünülebilecek noktadır."]},"beginTime":492,"endTime":580,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=492&ask_summarization=1"},{"index":6,"title":"Ağırlık Merkezi Hesaplama","list":{"type":"unordered","items":["Bir cismin geometrik olarak tam ortadan bölündüğünde, sol tarafta m kütle, sağ tarafta 2m kütle bulunur ve ağırlık merkezi 2mg'ye yakın bir noktada yer alır.","Ağırlık merkezi, sistemin ağırlık merkezi olarak adlandırılır ve kütle merkezi olarak da ifade edilebilir çünkü yerçekimi ivmesi her yerde aynıdır.","Kütle merkezi bulunurken tork mantığı kullanılır çünkü iki kuvvetin bileşkesini bulmak için tork mantığı kullanılır."]},"beginTime":582,"endTime":667,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=582&ask_summarization=1"},{"index":7,"title":"Koordinat Sisteminde Ağırlık Merkezi","list":{"type":"unordered","items":["Koordinat sisteminde verilen kütlelerin ağırlık merkezini bulmak için x ve y koordinatları için ayrı formüller kullanılır.","Tork formülü, sistemi oluşturan parçaların ayrı ayrı bir noktaya göre torklarının, o parçaların toplandığını düşündüğümüz toplam ağırlığın aynı eksene göre torkuna eşit olduğunu gösterir.","Koordinat sorularında formüller kullanmak zorunda değiliz, ancak tork denklemi bambaşka soru tipleri için de yardımcı olabilir."]},"beginTime":667,"endTime":870,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=667&ask_summarization=1"},{"index":8,"title":"Örnek Uygulama","list":{"type":"unordered","items":["Verilen koordinat sisteminde 4m, 3m ve m kütleli cisimlerin ağırlık merkezinin koordinatları bulunur.","X koordinatı için formül kullanılarak 2, y koordinatı için formül kullanılarak 2 değerleri elde edilir.","Alternatif olarak, ağırlıkları vektör olarak düşünerek ve paralel kuvvetlerin bileşkesini hesaplayarak da ağırlık merkezinin koordinatları bulunabilir."]},"beginTime":870,"endTime":1036,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=870&ask_summarization=1"},{"index":9,"title":"Bağımsız Cisimlerin Kütle Merkezi","list":{"type":"unordered","items":["Eşit bölmeli yatay düzleme yerleştirilen A, B, C ve D cisimlerinin kütle merkezi O noktası olduğuna göre cisimlerin kütleleri kıyaslanabilir.","Bağımsız cisimlerin de kütle merkezi (ağırlık merkezi) bulunabilir, örneğin bir yerde bulunan koltuk, dolap ve duvarın ortak kütle merkezi hesaplanabilir.","Cisimlerin kütle merkezini bulmak için ikili ikili seçerek, her ikilinin kütle merkezini hesaplayıp, bu noktaların bileşkesinin O noktasında olması gerekir."]},"beginTime":1039,"endTime":1223,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1039&ask_summarization=1"},{"index":10,"title":"Ağırlık Merkezi ve Dengede Kalma","list":{"type":"unordered","items":["Bardağın kenarına batırılan çatalların ucuna kibrit takılmış mantar, tek başına düşerse çünkü ağırlık merkezi destek noktasına göre tork oluşturur.","Çatallar takıldığında mantar dengede kalır çünkü çatalların ağırlık merkezleri bileşkesi bardağın kenarına denk gelir.","Çatalların içbükey takılması, ağırlık merkezlerinin bileşkesinin bardağın kenarına yakın olmasını sağlar."]},"beginTime":1223,"endTime":1358,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1223&ask_summarization=1"},{"index":11,"title":"Kuşların Dengede Kalma Mekanizması","list":{"type":"unordered","items":["Kuşların kanatları çatallara benzer şekilde tasarlanmıştır ve ağırlık merkezi gagadan parmak üzerinde bulunur.","Kuşun ağırlık merkezi parmak üzerinde olduğundan, parmak üzerine göre tork alındığında sistem dengede kalır.","Kuşun kanatları, ağırlık merkezini parmak üzerinde tutarak dengede kalmasını sağlar."]},"beginTime":1358,"endTime":1389,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1358&ask_summarization=1"},{"index":12,"title":"Çubuk Deneyi ve Sürtünme","list":{"type":"unordered","items":["Bir çubuğun ağırlık merkezini bulmak için iki el kullanılarak çubuk dengede tutulur ve ellerin buluştuğu yer ağırlık merkezidir.","Sürtünme kuvveti, normal kuvvetin çarpımıdır ve normal kuvvet büyükse sürtünme de büyüktür.","Çubuğun ağırlık merkezine olan yakınlık değiştiğinde, normal kuvvet değerleri değişir ve bu nedenle bir el hareket ederken diğer el hareket etmez."]},"beginTime":1389,"endTime":1521,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1389&ask_summarization=1"},{"index":13,"title":"Ağırlık Ekleme ve Hacı Yatmaz","list":{"type":"unordered","items":["Çubuğun sol tarafına ağırlık eklendiğinde, sistemin ağırlık merkezi kayar ve ellerin buluştuğu yer değişir.","Hacı yatmaz oyuncakında, yetişkin bir kişi beton bloğa yaslanarak devrilmez çünkü sistemin ağırlık merkezi yere çok yakın.","Adamın ağırlık merkezi beton bloğa yakın olduğundan, düşme yönünde tork oluşur ve bu tork adamı tekrar havaya kaldırır."]},"beginTime":1521,"endTime":1643,"href":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1521&ask_summarization=1"}],"linkTemplate":"/video/preview/8410692118734997473?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Kütle ve Ağırlık Merkezi - 1 | 88 Günde AYT Fizik Kampı | 30. 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Başkent Üniversitesinde eğitim danışmanlığı ve rehberliği adına eğitim görüyorum ve de koçluk...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2364735/1f953909ac147caa6916fe445b3b9ca0/564x318_1"},"target":"_self","position":"15","reqid":"1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=videoid:15141958325029807635","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitmeni tarafından sunulan AYT matematik deneme sınavı çözüm dersidir. Eğitmen, Bilgi Sarmal Yayınları'nın sekizinci denemesini adım adım çözmektedir.","Videoda 1'den 50'ye kadar olan matematik soruları detaylı olarak çözülmektedir. İçerik, sayı problemleri, köklerin ebob ve ekok değerleri, çarpanlara ayırma, fonksiyonlar, eşitsizlikler, polinomlar, trigonometri, geometri ve analitik düzlem gibi AYT matematik programının temel konularını kapsamaktadır. Eğitmen her soru için çözüm yöntemlerini göstermekte, hızlanma taktikleri sunmakta ve bazı sorular için farklı çözüm yollarını karşılaştırmaktadır.","Videoda ayrıca \"salyangoz yöntemi\" olarak adlandırılan bir çözüm tekniği anlatılmakta, sinüs fonksiyonunun pozitif olduğu bölgeleri çemberlerle göstererek ve denklemin kesişim noktalarını bularak çözüm yapma yöntemi açıklanmaktadır. Video yaklaşık 50 dakika sürmekte ve eğitmen, deneme sınavını çözerken bazı soruları boş bıraktığını belirtmektedir."]},"endTime":3160,"title":"AYT Matematik Deneme Sınavı Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Yeni Müfredata Uygun AYT Matematik Deneme Çözümü","list":{"type":"unordered","items":["Yeni müfredata uygun AYT matematik deneme çözümü yapılacak, Bilgi Sarmal Yayınları'nın sekizinci denemesi çözülecek.","Deneme tam orta seviye olup, hızlanma taktikleri gösterilecek.","Video 10 bin like ve üzeri alırsa, daha zorlayıcı üst düzey soruları içeren bir deneme çözülecek."]},"beginTime":0,"endTime":47,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=0&ask_summarization=1"},{"index":1,"title":"İlk Soru Çözümü","list":{"type":"unordered","items":["İlk soru bir sayı sorusu olup, 2^(x+2) + 3 + 1 = 27 ve 3^(x+48) = 3^(x+9) denklemleri verilmiş.","Denklemler çözülerek 2^(x) × y = 5 cevabı bulunmuş."]},"beginTime":47,"endTime":155,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=47&ask_summarization=1"},{"index":2,"title":"İkinci Soru Çözümü","list":{"type":"unordered","items":["İkinci soruda bir sayının 10 sayısının uzaklığının yarısı kadar olduğu belirtilmiş.","Sayının 10 sayısının 10+x veya 10-x olabileceği, toplamının 2x olduğu bulunmuş."]},"beginTime":155,"endTime":192,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=155&ask_summarization=1"},{"index":3,"title":"Üçüncü Soru Çözümü","list":{"type":"unordered","items":["Üçüncü soruda bir programın köklerinin EBOB ve EKOK değerlerini hesapladığı belirtilmiş.","Köklerin toplamı pozitif olduğu için a sayısının negatif, b sayısının pozitif olması gerektiği açıklanmış.","a+b değerinin en küçük olması için a'nın en büyük, b'nin en küçük olması gerektiği ve cevabın 105 olduğu bulunmuş."]},"beginTime":192,"endTime":363,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=192&ask_summarization=1"},{"index":4,"title":"Dördüncü Soru Çözümü","list":{"type":"unordered","items":["Dördüncü soruda a sayısından küçük ve a ile aralarında asal sayıların adeti hesaplanıyor.","80 sayısının çarpanları 2^4 × 5^1 olarak verilmiş ve formül uygulanarak cevap 32 bulunmuş."]},"beginTime":363,"endTime":419,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=363&ask_summarization=1"},{"index":5,"title":"Beşinci Soru Çözümü","list":{"type":"unordered","items":["Beşinci soruda a, b, c, d ardışık tek sayılar ve toplama işlemleri verilmiş.","a'nın 8 olduğu, c ve d'nin 0, 3 ve 5 olduğu bulunmuş.","a+b+c+d toplamı 168 olarak hesaplanmış."]},"beginTime":419,"endTime":488,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=419&ask_summarization=1"},{"index":6,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Bir matematik problemi çözülürken, kök a eksi üç değeri sıfır çıkabileceği için çarpanların hiçbir anlamı kalmayacağı belirtiliyor.","Trigonometri için yapılan benzer soru tiplerinin dikkatli çözülmesi gerektiği vurgulanıyor.","Fonksiyonların çarpım ve eşitsizlik sistemleri incelenerek çözüm kümesi bulunuyor."]},"beginTime":495,"endTime":647,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=495&ask_summarization=1"},{"index":7,"title":"Fonksiyon Dönüşümleri","list":{"type":"unordered","items":["f(x) = ax + b fonksiyonunun x ekseni boyunca 3 birim sola, y ekseni boyunca 2 birim aşağı ötelenmesi ve x = 80'e göre simetriği alınarak g(x) fonksiyonu elde ediliyor.","Fonksiyonların x eksenine göre simetriği alınarak ve 3 birim yukarı ötelenmesiyle g(x) fonksiyonu tekrar bulunuyor.","a = -1 değeri bulunuyor ancak çözüm sırasında bir yerde işlem hatası yapıldığı belirtiliyor."]},"beginTime":647,"endTime":795,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=647&ask_summarization=1"},{"index":8,"title":"Fonksiyon Değerleri","list":{"type":"unordered","items":["Dik koordinat düzleminde verilen f(x) fonksiyonunun grafiği kullanılarak g(2) değeri bulunuyor.","g(2) = f(-1) + 5 = 7 ve g(7) = f(4) - 5 = 14 olarak hesaplanıyor.","g(7) değeri 19 olarak bulunuyor."]},"beginTime":795,"endTime":851,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=795&ask_summarization=1"},{"index":9,"title":"Sayılar Teorisi Problemi","list":{"type":"unordered","items":["a pozitif, b negatif gerçek sayılar olmak üzere (a×b) - (a-c) > c² eşitsizliği inceleniyor.","a×b negatif, a-c negatif olduğundan (a×b) - (a-c) pozitif oluyor.","c² her zaman pozitif veya sıfırdan büyük olduğu için a×b > c² olduğu sonucuna varılıyor."]},"beginTime":851,"endTime":919,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=851&ask_summarization=1"},{"index":10,"title":"Parabol Problemi","list":{"type":"unordered","items":["Parabolün x ekseni kestiği noktalar arasındaki uzaklığın 6 birim olduğu ve y = 3 doğrusunun parabole teğet olduğu belirtiliyor.","Parabolün kafasının y ekseni üzerinde olduğu ve x² katsayısının 1 olduğu açıklanıyor.","Parabolün denklemi y = x² - 3 olarak bulunuyor."]},"beginTime":919,"endTime":1025,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=919&ask_summarization=1"},{"index":11,"title":"Polinom Bölümü Problemi","list":{"type":"unordered","items":["P(x) üçüncü dereceden, Q(x) ikinci dereceden bir polinomun grafiği verilmiş ve P(x) polinomunun Q(x) ile bölümü sorulmuş.","Q(x) polinomu y = x + 2 şeklinde tanımlanmış ve P(x) polinomunun çift katlı kökü olduğu belirtilmiş.","P(x) polinomu (x+1)²(x-4) şeklinde oluşturulmuş ve Q(x) ile bölüm sonucunda c = -1 bulunmuş."]},"beginTime":1025,"endTime":1103,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1025&ask_summarization=1"},{"index":12,"title":"Karmaşık Sayılar Problemi","list":{"type":"unordered","items":["Karmaşık sayılar ve gerçek sayılar konusunda bir soru çözülmüş, cevap -6 olarak belirtilmiş.","İlk yöntemde, kökler toplamı ve çarpımı kullanılarak diğer kökün 3+2i olduğu ve b'nin -6 olduğu bulunmuş.","İkinci yöntemde, denklemde kökler yerine yazılıp katsayıların sıfıra eşitlenmesi önerilmiş ancak bu yöntem daha uzun olduğu belirtilmiş."]},"beginTime":1103,"endTime":1176,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1103&ask_summarization=1"},{"index":13,"title":"Aritmetik Ortalama Problemi","list":{"type":"unordered","items":["İki kümeden seçilen x ve y sayılarının aritmetik ortalamasının tam sayı olması isteniyor.","x+y'nin çift sayı olması için ya ikisi tek ya da ikisi çift sayı olmalı.","Toplam 21 farklı şekilde aritmetik ortalaması tam sayı olan ikililer oluşturulabildiği bulunmuş."]},"beginTime":1176,"endTime":1258,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1176&ask_summarization=1"},{"index":14,"title":"Kümeler Problemi","list":{"type":"unordered","items":["A, B, C, D kümeleri için A∪B kümesi D kümesini kapsıyor ve A∩B boş küme değil.","A∩B'nin D kümesini kesinlikle kapsadığı söylenemez çünkü D kümesi A∩B'yi sadece içerebilir veya daha fazlasını da içerebilir.","A∩B boş küme olmadığı ve A-D∩B-D boş küme olduğu doğru olarak belirlenmiş."]},"beginTime":1258,"endTime":1375,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1258&ask_summarization=1"},{"index":15,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Hamallık sorusunda sabit terimlerin çarpımı kullanılarak çözüm bulunuyor.","Geometrik dizi sorusunda a₁×r³-a₁×r=a₁ eşitliği kullanılarak r²=3 bulunuyor ve a₆=2×27=36 olarak hesaplanıyor.","Fibonacci dizisi sorusunda a₁₂+a₁₃=a₁₄+a₁₅ eşitliği doğru olarak belirleniyor."]},"beginTime":1379,"endTime":1540,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1379&ask_summarization=1"},{"index":16,"title":"Sayısal Problemler","list":{"type":"unordered","items":["Saat sorusunda her 15 dakikada bir artan bir değer için 47. dakikada saat 11:45 olduğu hesaplanıyor.","Logaritma sorusunda f(x) fonksiyonunun grafiği kullanılarak üçgenin alanı 1/2 olarak bulunuyor.","Üslü denklem sorusunda 3ˣ=a+a²+a³ eşitliği kullanılarak a=1+√5/2 değeri bulunuyor ve log₃(1+√5/2)=log₃(3) olarak hesaplanıyor."]},"beginTime":1540,"endTime":1730,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1540&ask_summarization=1"},{"index":17,"title":"Sayma ve Olasılık Problemleri","list":{"type":"unordered","items":["Logaritma sorusunda log₂+log₃²=log₈+log₂ eşitliği için x=2 değeri doğru olarak belirleniyor.","Sayma sorusunda üç parçaya bölünmüş bir hayvanın farklı gövde, kafa ve kuyruk kombinasyonlarıyla 64 farklı hayvan oluşturulabileceği hesaplanıyor.","Sayma sorusunda farklı boyutlardaki kutuların farklı yerlere konulmasıyla toplam 36 farklı konum bulunuyor."]},"beginTime":1730,"endTime":1846,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1730&ask_summarization=1"},{"index":18,"title":"Çember Problemi Çözümü","list":{"type":"unordered","items":["Pr çaplı çemberin merkezine olan uzaklığı üçten fazla olan noktalar çemberin dışındadır.","A, C, D ve E noktaları çemberin dışındadır, B noktası ise çemberin içinde kalır.","Toplamda beş noktanın üç'ü çemberin dışındadır."]},"beginTime":1852,"endTime":1892,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1852&ask_summarization=1"},{"index":19,"title":"Trigonometrik Denklemler","list":{"type":"unordered","items":["Sekant 3 olduğunda kosinüs 1/3, sinüs √3/3 ve tanjant 3/4 olur.","28. soruda sekant değeri 7/28 olarak hesaplanır ve cevap 1/4 olarak bulunur.","29. soruda trigonometrik eşitlik çözülerek x'in farklı değerleri bulunur."]},"beginTime":1892,"endTime":2137,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=1892&ask_summarization=1"},{"index":20,"title":"Dik Koordinat Sisteminde Üçgenler","list":{"type":"unordered","items":["Dik koordinat sisteminde çember ve x=2 doğrusu verilmiş, A ve B noktaları belirlenmiştir.","A'nın karesi artı A çarpı B ifadesinin değeri hesaplanmaktadır.","Üçgenlerin alanları sinüs ve kosinüs değerleri kullanılarak bulunur."]},"beginTime":2137,"endTime":2272,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2137&ask_summarization=1"},{"index":21,"title":"Açı Problemleri","list":{"type":"unordered","items":["Üçgenlerin birleştirilmesiyle oluşan açılar hesaplanır.","Altıgenin iç açıları ve iç açıların yarısı kullanılarak açılar bulunur.","Eşkenar üçgen çizimi için C noktasının iki farklı değeri hesaplanır."]},"beginTime":2272,"endTime":2412,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2272&ask_summarization=1"},{"index":22,"title":"Doğruların Eğimleri","list":{"type":"unordered","items":["A ve B noktalarından geçen doğruların eğimleri hesaplanır.","Eğimlerin çarpımı -27 olarak bulunur."]},"beginTime":2412,"endTime":2442,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2412&ask_summarization=1"},{"index":23,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["35. soruda turuncu bölgenin alanı hesaplanıyor ve tanjant oranları kullanılarak alanlar bulunuyor.","36. soruda bir cismin 12 kez döndüğünde 360 derece döndüğü belirtiliyor ve 10. kez döndüğünde kaç derece döndüğü soruluyor.","37. soruda bir üçgen problemi çözülüyor, kosinüs teoremi kullanılarak kenar uzunlukları hesaplanıyor."]},"beginTime":2444,"endTime":2611,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2444&ask_summarization=1"},{"index":24,"title":"Çember ve Yay Problemi","list":{"type":"unordered","items":["Çapı 6 olan bir çemberden kesilen parça ve kalan kısmın çevresi hesaplanıyor.","120 derecelik yay uzunluğu, tam çemberin yay uzunluğunun 1/3'ü olarak hesaplanıyor.","Toplam uzunluk 18 birim olarak bulunuyor."]},"beginTime":2611,"endTime":2700,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2611&ask_summarization=1"},{"index":25,"title":"Analitik Düzlemde Simetri","list":{"type":"unordered","items":["Analitik düzlemde bir doğrunun simetriği hesaplanıyor, simetri alınan noktanın orta noktası bulunuyor.","Eksi x doğrusuna göre simetri hesaplanıyor ve noktanın ordinatı hesaplanıyor.","Noktanın ordinatı 3√2 olarak bulunuyor."]},"beginTime":2700,"endTime":2921,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2700&ask_summarization=1"},{"index":26,"title":"Küre Problemi","list":{"type":"unordered","items":["Yüzey alanı 48π olan bir kürenin 15 derecelik açılı kısmının yüzey alanı hesaplanıyor.","Kürenin yarıçapı 3 birim olarak bulunuyor.","İçteki yarım dairelerin toplam alanı 12π, dış kısmın alanı π olarak hesaplanıyor ve toplam çevre 14π olarak bulunuyor."]},"beginTime":2921,"endTime":3010,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=2921&ask_summarization=1"},{"index":27,"title":"Deneme Sınavı Sonuçları","list":{"type":"unordered","items":["Konuşmacı deneme sınavının bittiğini ve bazı soruları tekrar çözdüğünü belirtiyor.","Bir soruda işlem hatası yaptığını fark ettiğini ve bu soruyu sonradan doğru çözdüğünü söylüyor.","Sorunun çözümünde sinüsün pik eksi pik olayını unuttuğunu ve bu nedenle yanlış cevap verdiğini açıklıyor."]},"beginTime":3017,"endTime":3077,"href":"/video/preview/15141958325029807635?parent-reqid=1765383781752961-17097552788627738359-balancer-l7leveler-kubr-yp-klg-64-BAL&text=WrestInside%E2%84%A2&t=3017&ask_summarization=1"},{"index":28,"title":"Salyangoz Yöntemi","list":{"type":"unordered","items":["Konuşmacı, sinüs fonksiyonunun işaretlerini belirlemek için kullandığı salyangoz yönteminin mantığını açıklıyor.","Yöntemde, 180 derece aralığına göre çemberler oluşturulduğunu ve sinüsün pozitif olduğu bölgelerde işaretlerin belirlendiğini anlatıyor.","Salyangozun dört farklı yerde kesildiğini ve bu sayede işaretlerin doğru belirlendiğini 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