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Gözyaşlarının Sel Olacağı 7. 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Yepyeni içerikler yolda, haberdar olmak...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/940099/16575d12aaafb76b8d686d3757c093a4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/kjvxBgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=videoid:6708661771804146477","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen ve öğrenci arasında geçen matematik dersi formatındadır. Öğretmen, rasyonel sayıların ondalık gösterimi konusunu anlatmaktadır.","Video, rasyonel sayıların ondalık gösterimini adım adım açıklamaktadır. Öncelikle kesirli sayıların ondalık gösterimine nasıl dönüştürüleceği, ardından ondalık gösterimlerin rasyonel sayıya nasıl çevrileceği anlatılmaktadır. Son bölümde ise devirli ondalık açılımların nasıl yazılacağı detaylı bir kural ile açıklanmaktadır. Video boyunca öğretmen, konuyu pekiştirmek için çeşitli örnekler üzerinden işlem yapmaktadır."]},"endTime":465,"title":"Rasyonel Sayıların Ondalık Gösterimi Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Sayıların Ondalık Gösterimi","list":{"type":"unordered","items":["Rasyonel sayılar kesirli sayılar olarak düşünülebilir ve ondalık gösterimine çevrilebilir.","Ondalık gösterimde virgülden sonraki basamaklar onda birler, yüzde birler, binde birler şeklinde adlandırılır.","Rasyonel sayıları ondalık gösterime çevirmek için genişletme veya sadeleştirme işlemleri yapılabilir."]},"beginTime":14,"endTime":186,"href":"/video/preview/6708661771804146477?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=14&ask_summarization=1"},{"index":1,"title":"Ondalık Gösterimden Rasyonel Sayıya Çevirme","list":{"type":"unordered","items":["Ondalık gösterimi rasyonel sayıya çevirmek için sıfırın sağındaki ilk basamağa göre payda belirlenir (onda birler için 10, yüzde birler için 100).","Ondalık gösterimdeki sayı, virgülden sonraki basamak sayısına göre payda belirlenir ve pay olarak yazılır.","Tam sayı ve ondalık kısımlı sayılar için, tam sayı kısım payda ile çarpılıp ondalık kısım eklenerek rasyonel sayıya çevrilir."]},"beginTime":186,"endTime":286,"href":"/video/preview/6708661771804146477?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=186&ask_summarization=1"},{"index":2,"title":"Devirli Ondalık Açılımlar","list":{"type":"unordered","items":["Devirli ondalık açılımlar için bir kural uygulanır: tüm sayı eksi devirsiz kısmı bölü (virgülden sonra devirli kadar 9 ve devirsiz kadar 0).","Devirli ondalık açılımı rasyonel sayıya çevirirken, devirli kısmın basamak sayısı kadar 9, devirsiz kısmın basamak sayısı kadar 0 kullanılır.","Örnek olarak 0,525252... = 52/99, 0,123123... = 123/999 şeklinde çevrilir."]},"beginTime":286,"endTime":465,"href":"/video/preview/6708661771804146477?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=286&ask_summarization=1"}],"linkTemplate":"/video/preview/6708661771804146477?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"7.Sınıf Matematik | 7dk'da Rasyonel Sayıların Ondalık 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Öğretmen, konuları çizimlerle görselleştirerek açıklamaktadır.","Video, açıların tanımı ve özellikleri ile başlayıp, doğruda açılar kuralları (C kuralı, Z kuralı, Roket kuralı), paralel doğrular arasındaki açılar, iç ters, dış ters ve yöndeş açılar gibi konuları ele almaktadır. Ardından çokgenler konusuna geçilerek düzgün çokgenler, köşegenler, iç açılar toplamı ve dış açılar toplamı formülleri anlatılmaktadır. Video, Tonguç Akademi platformunun kullanımı ve geometri sorularının çözüm teknikleriyle sona ermektedir.","Videoda konular, örnek sorular ve alıştırmalar üzerinden pekiştirilmekte, öğrencilerin gerçek sınav sistemine hazırlanabilmeleri için motivasyon denemeleri hakkında bilgi verilmektedir. Ayrıca \"Yedi Tost\" kitabından açılar konusuna ait ödevler verilmektedir."]},"endTime":3849,"title":"7. 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ile c ve a ile d iç ters açılardır.","Dış açılar arasında ters yöne bakarak olanlara \"dış ters açılar\" denir; örneğin f ile g ve e ile h dış ters açılardır."]},"beginTime":543,"endTime":648,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=543&ask_summarization=1"},{"index":6,"title":"Yöndeş Açılara Bakış","list":{"type":"unordered","items":["Aynı yöne bakan açılara \"yöndeş açılar\" denir.","Yöndeş açılar arasında b ile h, a ile g, d ile f, e ile c bulunur."]},"beginTime":648,"endTime":705,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=648&ask_summarization=1"},{"index":7,"title":"Z Kuralı","list":{"type":"unordered","items":["Z kuralı, paralel doğrular arasında Z şeklindeki açıların iç ters açılar olduğunu gösterir.","Z kuralına göre, iç ters açılardır ve a = d eşitliği sağlanır."]},"beginTime":705,"endTime":765,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=705&ask_summarization=1"},{"index":8,"title":"C ve Roket Kuralları","list":{"type":"unordered","items":["C kuralı, paralel doğrular arasında oluşan açıların toplamının 180 derece olduğunu belirtir.","Roket kuralı, üç açının toplamının 360 derece olduğunu gösterir.","Geometride bir soruyu farklı yollarla çözebilirsiniz, bu da geometrinin zor olmayan bir konusu olduğunu gösterir."]},"beginTime":767,"endTime":994,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=767&ask_summarization=1"},{"index":9,"title":"C ve Z Kurallarının Uygulanması","list":{"type":"unordered","items":["Bir soruda hem C kuralı hem de Z kuralı kullanılabilir.","C kuralı, paralel doğrular arasındaki açıların toplamının 180 derece olduğunu kullanarak açıları bulabilirsiniz.","Z kuralı, paralel doğrular arasındaki eşit açıları belirleyerek soruyu çözebilirsiniz."]},"beginTime":994,"endTime":1154,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=994&ask_summarization=1"},{"index":10,"title":"Pratik ve Kuralların Önemi","list":{"type":"unordered","items":["Geometri sorularında C, Z ve M kurallarını tanıyabilmek önemlidir.","Soruları çözerken pratik yaparak bu kurallara alışabilirsiniz.","C ve Z kuralları geometri sorularında sıkça karşılaşılan ve kullanışlı kurallardır."]},"beginTime":1154,"endTime":1294,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=1154&ask_summarization=1"},{"index":11,"title":"M Kuralı ve Açılar","list":{"type":"unordered","items":["M kuralı, iki kenardaki açıların toplamının ortadaki açıya eşit olmasıdır.","M kuralı kullanılarak, ortadaki açı 90 derece olduğunda, diğer açıların toplamı 90 derece olur ve bir açı 42 dereceyse, diğer açı 48 derece olarak bulunur.","Açılar sorularında farklı yöntemlerle (M, Z, C, Roket kuralı) aynı sorunun çözümü yapılabilir."]},"beginTime":1297,"endTime":1402,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=1297&ask_summarization=1"},{"index":12,"title":"Farklı Yöntemlerle Açı Hesaplama","list":{"type":"unordered","items":["Ters açılar kuralı, birbirine ters açıların eşit olmasıdır.","C kuralı, bir üçgende iç açıların toplamının 180 derece olmasıdır.","Roket kuralı, bir açıda üç açının toplamının 360 derece olmasıdır."]},"beginTime":1402,"endTime":1674,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=1402&ask_summarization=1"},{"index":13,"title":"Çokgenler","list":{"type":"unordered","items":["Çokgen, birden çok kenarı olan şekillerdir; üç kenarı olan üçgen, dört kenarı olan dörtgen, beş kenarı olan beşgen şeklinde adlandırılır.","Düzgün çokgenler, hem kenarları hem iç açıları eşit olan çokgenlerdir.","Düzgün çokgenlerde üçgen eşkenar üçgen, dörtgen kare, beşgen düzgün beşgen olarak adlandırılır."]},"beginTime":1674,"endTime":1771,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=1674&ask_summarization=1"},{"index":14,"title":"Köşegen Kavramı","list":{"type":"unordered","items":["Köşegen, ardışık olmayan köşeleri birleştiren çizgilere denir.","Kenarlar köşegen sayılmaz çünkü kenarlar ardışık köşeleri birleştirir.","Üçgende köşegen yoktur, dörtgende iki, beşgende beş, altıgende dokuz köşegen vardır."]},"beginTime":1773,"endTime":2015,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=1773&ask_summarization=1"},{"index":15,"title":"Köşeden Çıkan Köşegen Sayısı","list":{"type":"unordered","items":["Bir köşeden çıkan köşegen sayısı, n kenarlı çokgende n-3'tür.","Bir köşeden çıkan köşegenler, çokgende n-2 tane üçgen oluşturur.","Çokgenin iç açıları toplamı, (n-2)×180° formülü ile hesaplanır."]},"beginTime":2015,"endTime":2190,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2015&ask_summarization=1"},{"index":16,"title":"Altıgen Örneği","list":{"type":"unordered","items":["Altıgenin iç açıları toplamı 720°'dir.","Altıgenin iç açıları toplamı formülü (n-2)×180° kullanılarak hesaplanır.","Altıgenin iç açıları toplamı biliniyorsa, bilinmeyen açılar bulunabilir."]},"beginTime":2190,"endTime":2303,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2190&ask_summarization=1"},{"index":17,"title":"Yedinci Sınıf Tost Hakkında Bilgilendirme","list":{"type":"unordered","items":["Yedinci sınıf için özel bir tost hazırlanmıştır.","Tostta Türkçe, matematik ve fen dersleri odaklı çalışmalara yer verilmiştir.","Matematik tostunda bir dönemin tekrarı yapılmış, yeni MEB tarzı sorular ve deney soruları bulunmaktadır."]},"beginTime":2303,"endTime":2382,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2303&ask_summarization=1"},{"index":18,"title":"Çokgenlerin Dış Açıları","list":{"type":"unordered","items":["Tüm çokgenlerin dış açıları toplamı 360 derecedir.","İç açılar, çokgende içteki açılara verilen isimdirken, dış açı ise 180 dereceden iç açının çıkarılmasıyla bulunur.","Dış açılar toplamı her zaman 360 derecedir, iç açılar toplamı ise çokgenin türüne göre değişir."]},"beginTime":2402,"endTime":2549,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2402&ask_summarization=1"},{"index":19,"title":"Düzgün Sekizgen Örneği","list":{"type":"unordered","items":["Düzgün sekizgenin bir iç açısının ölçüsü bulunurken, önce dış açılar toplamı 360 derece sekize bölünerek 45 derece bulunur.","Dış açı 45 derece olduğunda, iç açı 180-45=135 derece olarak hesaplanır.","Alternatif olarak, sekizgenin iç açıları toplamı (8-2)×180=1080 derece olup, bir iç açısı 1080/8=135 derece olarak da bulunabilir."]},"beginTime":2549,"endTime":2686,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2549&ask_summarization=1"},{"index":20,"title":"Düzgün Beşgen ve Altıgen","list":{"type":"unordered","items":["Düzgün beşgenin iç açıları toplamı (5-2)×180=540 derece olup, bir iç açısı 540/5=108 derecedir.","Düzgün altıgenin iç açıları toplamı (6-2)×180=720 derece olup, bir iç açısı 720/6=120 derecedir.","Düzgün beşgenin bir dış açısı 360/5=72 derece, düzgün altıgenin bir dış açısı ise 360/6=60 derecedir."]},"beginTime":2686,"endTime":2853,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2686&ask_summarization=1"},{"index":21,"title":"Zor Sorular ve Çözümleri","list":{"type":"unordered","items":["Eğitmen, dersin sonunda iki zor soru sorarak öğrencilerin cevaplarını bekliyor.","İlk soruda düzgün altıgenin iç açıları incelenerek, ikizkenar üçgen özellikleri kullanılarak açıların ölçüsü hesaplanıyor.","İkinci soruda düzgün beşgenin iç açıları ve ikizkenar üçgen özellikleri kullanılarak açıların ölçüsü bulunuyor."]},"beginTime":2858,"endTime":3258,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=2858&ask_summarization=1"},{"index":22,"title":"Ödev ve Sürpriz","list":{"type":"unordered","items":["Eğitmen, öğrencilerin \"Tonguç 7 Tost\" kitabından açılar konusundan ödev yapmalarını istiyor.","Ödev olarak açıortay, doğruda açılar, çokgenler ve özel dörtgenler konularından sorular çözülmeli.","Motivasyon denemelerinin MEB kazanımlarına uygun, PISA sınavlarına uygun ve optik formda hazırlandığı belirtiliyor."]},"beginTime":3258,"endTime":3404,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=3258&ask_summarization=1"},{"index":23,"title":"Tonguç Akademi Web Sitesi Kullanımı","list":{"type":"unordered","items":["Tonguç Akademi'nin web sitesine (tonguçakademi.com) üye olmak ücretsizdir.","Matematik dersine tıklayıp, geometri ünitesine erişilebilir.","Konu testlerine tıklayıp canlı teste başlanabilir ve sorular çözülebilir."]},"beginTime":3406,"endTime":3452,"href":"/video/preview/2901229852217838063?parent-reqid=1769565622649393-6261407936245801100-balancer-l7leveler-kubr-yp-klg-132-BAL&text=7caje&t=3406&ask_summarization=1"},{"index":24,"title":"Web Sitesindeki Özellikler","list":{"type":"unordered","items":["Konuların başlarında açıklamalar yazılmıştır ve öğrencilere okunabilir.","Çözülen testlerde öğrencilerin isimleri ve şehirleri görüntülenebilir.","Sıralamalar sürekli 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