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Matematik 10.Sınıf Matematik Yeni Müfredat Maarif Model tüm konularını konu sıralamasına uygun şekilde tanımlarla kavramlarla ispatlarla birlikte öğreneceğiz. 1.Tema Geometrik Şekiller...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3383616/3d084fc38e5b6c2a56e52cb76d8c8f79/564x318_1"},"target":"_self","position":"16","reqid":"1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=videoid:13163913345582469369","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet Hoca tarafından Rehber Matematik kanalında sunulan 10. sınıf matematik dersidir. Öğretmen, yeni Maarif modeline uygun şekilde trigonometri konusunu anlatmaktadır.","Video, dik üçgende trigonometrik oranlar (sinüs, kosinüs, tanjant, kotanjant) konusunu kapsamlı şekilde ele almaktadır. İlk olarak temel trigonometrik oranlar tanımlanmakta, ardından özel dik üçgenler (3-4-5, 7-24-25, 8-15-17) kullanılarak örnekler çözülmektedir. Daha sonra benzer üçgenlerde trigonometrik oranların eşitliği ve sin²α + cos²α = 1, tanα × cotα = 1 gibi trigonometrik özdeşlikler ispatlanmaktadır.","Videoda ayrıca not alma teknikleri, soru avcısı bölümü ve pratik problemler çözülmektedir. Öğretmen, trigonometrik değerlerin ezberlenmeden mantığının öğrenilmesi gerektiğini vurgulamakta ve Pisagor bağıntısı kullanarak ispatlar yapmaktadır. Video, 10 sorudan oluşan bir dersin son bölümünü oluşturmaktadır."]},"endTime":3407,"title":"10. Sınıf Matematik: Dik Üçgende Trigonometrik Oranlar ve Özdeşlikler","beginTime":0}],"fullResult":[{"index":0,"title":"10. Sınıf Matematik Derslerine Giriş","list":{"type":"unordered","items":["Mehmet hocanın Rehber Matematik kanalında 10. sınıf yeni Maarif modele uygun matematik dersleri başlıyor.","Tüm PDF'ler ve soru avcıları ücretsiz olarak Instagram hesabından paylaşılacak.","10. sınıf matematik müfredatı tanımıyla, kavramıyla ve ispatıyla birlikte bitirilecek."]},"beginTime":0,"endTime":98,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=0&ask_summarization=1"},{"index":1,"title":"Yeni Maarif Modeli ve Sınav Sistemi","list":{"type":"unordered","items":["Derslerin tek amacı okul notları değil, yeni Maarif model ve sınav sistemine hazırlıklı olmak.","12. sınıfa geldiğinde sınav sistemi değişeceği için bu konuları canavar gibi öğrenmek gerekiyor.","Bu seneki 10. sınıf matbu kitabı yetiştirilemedi, önümüzdeki sene 11. sınıf matbook'u PDF'lerle değil kitaplarla oluşturulacak."]},"beginTime":98,"endTime":133,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=98&ask_summarization=1"},{"index":2,"title":"Dik Üçgende Trigonometrik Oranlar","list":{"type":"unordered","items":["Birinci tema \"Geometrik Şekiller\" ve kazanım \"Dik Üçgende Trigonometrik Oranlar\" (sinüs, kosinüs, tanjant, kotanjant ve trigonometrik özdeşlikler).","Trigonometri, Latincede \"üç\" anlamına gelen \"tri\" ve \"açı\" anlamına gelen \"gonometri\" kelimelerinden oluşur ve üçgenlerle alakalı bir mevzudur.","Dik üçgende, 90 derecenin karşısındaki kenara hipotenüs, alfa açısının karşısındaki kenara karşı dik kenar, komşu dik kenara komşu dik kenar denir."]},"beginTime":133,"endTime":253,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=133&ask_summarization=1"},{"index":3,"title":"Trigonometrik Oranların Tanımları","list":{"type":"unordered","items":["Sinüs, karşı dik kenar uzunluğunun hipotenüs uzunluğuna oranıdır ve sin alfa olarak gösterilir.","Kosinüs, komşu dik kenar uzunluğunun hipotenüs uzunluğuna oranıdır ve cos alfa olarak gösterilir.","Tanjant, karşı dik kenarın uzunluğunun komşu dik kenar uzunluğuna oranıdır ve tan alfa ile gösterilir.","Kotanjant, komşu dik kenarın uzunluğunun karşı dik kenar uzunluğuna oranıdır ve cot alfa ile gösterilir."]},"beginTime":253,"endTime":391,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=253&ask_summarization=1"},{"index":4,"title":"Trigonometrik Oranlar ve Özel Dik Üçgenler","list":{"type":"unordered","items":["Dik üçgenlerde trigonometrik oranlar (sinüs, kosinüs, tanjant, kotanjant) hesaplanırken karşı dik kenar, komşu dik kenar ve hipotenüs kullanılır.","Özel dik üçgenler (3-4-5, 7-24-25, 8-15-17) kenar oranları ile ilgili işlemler yapılabilir ve Pisagor bağıntısına girmeden doğrudan hesaplanabilir.","Sinüs alfa = karşı dik kenar / hipotenüs, kosinüs alfa = komşu dik kenar / hipotenüs, tanjant alfa = karşı dik kenar / komşu dik kenar, kotanjant alfa = komşu dik kenar / karşı dik kenar formülleri kullanılır."]},"beginTime":395,"endTime":704,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=395&ask_summarization=1"},{"index":5,"title":"Trigonometrik Özdeşlikler","list":{"type":"unordered","items":["Alfa ile beta açılarının toplamı 90 derece ise, sinüs alfa = kosinüs beta olur.","Tanjant alfa ile kotanjant beta değerleri birbirine eşittir.","Sinüs alfa² + kosinüs alfa² = 1 özdeşliği vardır."]},"beginTime":704,"endTime":896,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=704&ask_summarization=1"},{"index":6,"title":"Trigonometrik Değerler ve Dik Üçgenler","list":{"type":"unordered","items":["Trigonometrik değerler (tanjant, kotanjant, kosinüs, sinüs) dik üçgenlerde hesaplanır.","Tanjant, karşı dik kenar bölü komşu dik kenardır; kotanjant ise komşu dik kenar bölü karşı dik kenardır.","Trigonometrik değerleri hesaplamak için dik üçgen çizmek gerekir ve açıların ölçüsü 90 derece olmalıdır."]},"beginTime":901,"endTime":1106,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=901&ask_summarization=1"},{"index":7,"title":"Trigonometrik Değerlerin Hesaplanması","list":{"type":"unordered","items":["39 birim uzunluğundaki çubuğun duvara uzaklığı 15 birimdir ve zemine değdiği nokta sabit kalacak biçimde duvara doğru devrildiğinde zeminle alfa derecelik bir dar açı oluşturur.","Sinüs alfa, kosinüs alfa ve kotanjant alfa değerleri hesaplanırken, kenar uzunlukları Pisagor teoremi veya özel dik üçgenler kullanılarak bulunur.","Benzer üçgenlerde eşit açıların karşısındaki kenarların oranları birbirine eşittir."]},"beginTime":1106,"endTime":1412,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=1106&ask_summarization=1"},{"index":8,"title":"Benzer Üçgenlerde Trigonometrik Değerler","list":{"type":"unordered","items":["İki benzer dik üçgende, birbirini 90 dereceye tamamlayan açıların trigonometrik değerleri (sinüs-kosinüs, tanjant-kotanjant) birbirine eşittir.","Benzer üçgenlerde kenar uzunlukları orantılıdır ve bu oran trigonometrik değerleri hesaplamada kullanılır.","Kenar-açı-kenar benzerliği veya kenar-kenar-kenar bağıntısı kullanılarak benzer üçgenler belirlenebilir."]},"beginTime":1412,"endTime":1586,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=1412&ask_summarization=1"},{"index":9,"title":"Benzer Üçgenlerde Trigonometrik Değerler","list":{"type":"unordered","items":["Benzer üçgenlerde eşit açıların trigonometrik değerleri birbirine eşittir.","Benzer üçgenlerin eşit açılarına ait trigonometrik oranlar eşittir.","Bir üçgende sinüs A açısı ile başka bir üçgende sinüs B açısı eşitse, bu açılar birbirine eşittir."]},"beginTime":1590,"endTime":1724,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=1590&ask_summarization=1"},{"index":10,"title":"Trigonometrik Oranların Özellikleri","list":{"type":"unordered","items":["Dar açının trigonometrik oranları verilirse, diğer trigonometrik oranlara ulaşmak için dik üçgen çizilir.","Bir açının trigonometrik oranı biliniyorsa, kenar uzunlukları aynı olmak zorunda değildir, katları olabilir.","Benzer üçgenlerde aynı açıların trigonometrik değerleri eşittir, ancak kenar uzunlukları farklı olabilir."]},"beginTime":1724,"endTime":1840,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=1724&ask_summarization=1"},{"index":11,"title":"Özel Üçgenler ve Trigonometrik Değerler","list":{"type":"unordered","items":["5-12-13 üçgeninde sinüs alfa değeri 12/13, kosinüs alfa değeri 5/13, tanjant alfa değeri 12/5 ve kotanjant alfa değeri 5/12'dir.","8-15-17 özel üçgeninde sinüs beta değeri 8/17, kosinüs beta değeri 15/17, tanjant beta değeri 8/15'tir.","Trigonometrik oranlar hesaplanırken karşı kenar bölü komşu kenar veya komşu kenar bölü karşı kenar formülü kullanılır."]},"beginTime":1840,"endTime":2041,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=1840&ask_summarization=1"},{"index":12,"title":"Trigonometrik Değerler ve Dik Üçgenler","list":{"type":"unordered","items":["Trigonometrik değerler hesaplamak için dik üçgen çizmek gerekir.","Sinüs alfa, karşı kenar bölü hipotenüs; kosinüs alfa, komşu kenar bölü hipotenüs; tanjant alfa, karşı kenar bölü komşu kenar; kotanjant alfa, komşu kenar bölü karşı kenar formülleri kullanılır.","Paydada köklü ifade kalırsa, genişletme işlemi yaparak köklü ifadeyi paydan kaldırabiliriz."]},"beginTime":2044,"endTime":2175,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=2044&ask_summarization=1"},{"index":13,"title":"Gölge Problemi","list":{"type":"unordered","items":["Bir parkta 9 metre yüksekliğinde yere dik duran direğin gölgesi hesaplanırken dik üçgen oluşturulur.","Gölge boyu hesaplanırken tanjant 30 derece veya kotanjant 30 derece formülleri kullanılabilir.","Kotanjant 30 derece değeri kök 3'tür ve bu değer kullanılarak gölge boyu hesaplanabilir."]},"beginTime":2175,"endTime":2342,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=2175&ask_summarization=1"},{"index":14,"title":"İki Dar Açı Problemi","list":{"type":"unordered","items":["İki dar açı (alfa ve beta) için kosinüs alfa 3/5 ve sinüs beta 4/√17 verildiğinde, tanjant alfa çarpı kotanjant beta çarpımı hesaplanır.","Sinüs beta değeri için Pisagor bağıntısı kullanılarak dik kenar bulunur.","Tanjant alfa 4/3, kotanjant beta 1/4 olarak hesaplanır ve çarpımı 1/3 olarak 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tanımlanır.","Tanjant alfa çarpı kotanjant alfa her zaman 1'e eşittir.","Tanjant alfa = 1/cotanjant alfa ve kotanjant alfa = 1/tanjant alfa şeklinde de yazılabilir."]},"beginTime":2981,"endTime":3070,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=2981&ask_summarization=1"},{"index":19,"title":"Trigonometrik Özdeşlik Sorusu","list":{"type":"unordered","items":["Sin α + cos α = 5/4 olduğuna göre sin α × cos α çarpımı sorulmaktadır.","(x + y)² = x² + 2xy + y² özdeşliği kullanılarak sin² α + 2sin α cos α + cos² α = 25/16 ifadesi elde edilir.","sin² α + cos² α = 1 özdeşliği kullanılarak 2sin α cos α = 9/16 bulunur ve sonucun 32 olduğu hesaplanır."]},"beginTime":3070,"endTime":3327,"href":"/video/preview/13163913345582469369?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=3070&ask_summarization=1"},{"index":20,"title":"Dersin 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Bu videomuzda windows 10 bilgisayar sıfırlama konusuna değineceğiz. Windows 10 sıfırlama ne kadar sürer? Windows 10 sıfırlama hataları , sorunları gibi konulara da değineceğiz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/880964/7ed8f52ea4a61f34a32d40ea634c4a1f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ab7xyAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=videoid:3174486439347947955","teaser":[{"list":{"type":"unordered","items":["Bu video, Tekno adlı bir eğitim içeriği olup, Windows 10 kurulu bilgisayarları nasıl sıfırlayabileceğinizi adım adım göstermektedir.","Video, Windows 10'da virüs bulaşması, performans sorunları veya sürekli hata vermesi durumunda bilgisayarı sıfırlama yöntemini anlatmaktadır. İçerikte önce sıfırlama işleminin sonuçları (tüm dosyaları silme veya dosyaları koruyarak sıfırlama) açıklanmakta, ardından sıfırlama süreci detaylı olarak gösterilmektedir. İşlem, bilgisayarı Shift tuşu basılı olarak yeniden başlatma, gelişmiş onarım seçeneklerini kullanma, dosyaları saklama veya kaldırma seçeneğini belirleme ve sıfırlama işlemini başlatma adımlarını içermektedir. Video, yaklaşık iki saat süren sıfırlama işleminin sonunda bilgisayarın yeniden başlatılması ve dosyaların korunmasıyla sonlanmaktadır."]},"endTime":533,"title":"Windows 10 Bilgisayarını Sıfırlama Rehberi","beginTime":0}],"fullResult":[{"index":0,"title":"Windows 10 Sıfırlama İşlemi","list":{"type":"unordered","items":["Windows 10 kurulu bilgisayarınızda virüs bulaşması, performans sorunları veya sürekli hata vermesi durumunda sıfırlama işlemi yapılabilir.","Windows 8 ile başlayan ve Windows 10'da da kullanılan sıfırlama yöntemi anlatılacaktır.","Sıfırlama işlemi için Windows 10 kurulumu sağlayan DVD veya USB arayüzünden medya bilgisayarda olmalıdır."]},"beginTime":0,"endTime":76,"href":"/video/preview/3174486439347947955?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=0&ask_summarization=1"},{"index":1,"title":"Sıfırlama Seçenekleri","list":{"type":"unordered","items":["Windows 10 sıfırlama yönteminde bilgisayardaki tüm dosyalar silinebilir veya dosyalar korunarak sıfırlama yapılabilir.","Dosyaları koruma seçeneği seçildiğinde bile kurulu programlar silinecektir, sadece fotoğraflar, müzik ve dökümanlar korunacaktır.","Sıfırlama, formata göre daha pratik, kullanıcı dostu ve uygulaması daha kolaydır."]},"beginTime":76,"endTime":141,"href":"/video/preview/3174486439347947955?parent-reqid=1769045616810656-16164593826191616329-balancer-l7leveler-kubr-yp-sas-130-BAL&text=Mengineer10&t=76&ask_summarization=1"},{"index":2,"title":"Sıfırlama İşlemi Adımları","list":{"type":"unordered","items":["Bilgisayarı yeniden başlatırken Shift tuşuna basılı tutarak aç kapa tuşuna sağ tıklayıp yeniden başlatma işlemi yapılmalıdır.","Bilgisayar yeniden başladığında Windows 10 yüzü yerine gelişmiş onarım seçenekleri gelecektir.","Sorun gider seçeneğinden \"Bu bilgisayarı sıfırla\" adımı seçilerek dosya saklama veya kaldırma arasında seçim 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