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nuclear tech mod has lots of interesting things, so I decided to show you one of them. 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''Mart'' programını buradan indirebilirsin👉https://goo.gl/uxjFYt #Matematik dersinde bugün ''Çokgenler ve Açılar'' konusunu sınav tarzı soru çözümleri ...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1343271/d213fd08a3ae6b3246445a0ddb11e357/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hni78AAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=videoid:2901229852217838063","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin Tonguç adlı öğrencisiyle birlikte 7. sınıf matematik programına uygun açılar ve çokgenler konusunu anlattığı eğitim içeriğidir. 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. Sınıf Matematik: Açılar ve Çokgenler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dersin Tanıtımı","list":{"type":"unordered","items":["Tonguç, bugün açılar ve çokgenler konusunu işleyecektir.","7. sınıf Mart programında çokgenler ve açılar konusu bulunmaktadır.","Ders kapsamında açı çeşitleri, açıortay, aynı düzende üç doğrunun durumları, ters açılar ve Z kuralı ele alınacaktır."]},"beginTime":1,"endTime":62,"href":"/video/preview/2901229852217838063?parent-reqid=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&t=1&ask_summarization=1"},{"index":1,"title":"Açı ve Açıortay","list":{"type":"unordered","items":["Açı, iki ışının birleştiği noktada oluşan açıktır.","Açıortay, bir açıyı iki eş parçaya bölen ışındır.","Açıortay, açıyı ortadan ikiye böler ve açıortay çizgisi olarak adlandırılır."]},"beginTime":62,"endTime":215,"href":"/video/preview/2901229852217838063?parent-reqid=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&t=62&ask_summarization=1"},{"index":2,"title":"Aynı Düzendeki Üç Doğrunun Durumları","list":{"type":"unordered","items":["Aynı düzende üç doğru paralel olabilir.","Üç doğru noktadaş olabilir, yani tek bir noktada kesişirler.","Üç doğru üçgen oluşturan doğrular olabilir veya iki paralel bir kesen olabilir."]},"beginTime":215,"endTime":336,"href":"/video/preview/2901229852217838063?parent-reqid=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&t=215&ask_summarization=1"},{"index":3,"title":"Ters Açılar ve Z Kuralı","list":{"type":"unordered","items":["Ters açılar, karşılıklı olarak bir doğrunun üzerinde oluşan ve birbirine eşit olan açılardır.","Bir doğrunun üzerindeki açılardan biri 50 derece ise, diğer açı 130 derece olur çünkü doğrunun üzerindeki açıların toplamı 180 derecedir.","Z kuralı, iki paralel doğru ve bir kesen çizgisinden oluşan Z şeklindeki açıların eşitliğini ifade eder."]},"beginTime":336,"endTime":467,"href":"/video/preview/2901229852217838063?parent-reqid=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&t=336&ask_summarization=1"},{"index":4,"title":"Paralel Doğrular ve Açılara Giriş","list":{"type":"unordered","items":["İki paralel doğrunun arasında kalan açılara \"iç açılar\" denir ve bu açılar a, b, c, d olarak gösterilir.","İki paralelin dışında kalan açılara \"dış açılar\" denir ve bu açılar e, f, g, h olarak gösterilir."]},"beginTime":468,"endTime":543,"href":"/video/preview/2901229852217838063?parent-reqid=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&t=468&ask_summarization=1"},{"index":5,"title":"İç ve Dış Ters Açılara Bakış","list":{"type":"unordered","items":["İç açılar arasında ters yöne bakarak olanlara \"iç ters açılar\" denir; örneğin b 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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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=1769765709205080-3770527746552181235-balancer-l7leveler-kubr-yp-vla-190-BAL&text=AlexTS7&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 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