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hizada sonsuza kadar giden noktaların oluşturduğu şekildir.","İşın gösteriminde başlangıç noktası kapalı, sonsuza kadar giden nokta açık olarak gösterilir.","Doğru, iki ucu da sonsuza kadar giden düz bir şekilde hizalanmış noktaların oluşturduğu şekildir ve gösteriminde her iki nokta da açık olarak gösterilir."]},"beginTime":370,"endTime":517,"href":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=370&ask_summarization=1"},{"index":4,"title":"Doğru, Doğru Parçası ve Işın","list":{"type":"unordered","items":["Doğru, sonsuza kadar giden bir çizgidir.","Doğru parçası, doğrunun iki kesik noktasından oluşan bir parçasıdır.","Işın, bir tarafı kesik, diğer tarafı açık olan ve ok işaretiyle gösterilen bir çizgidir."]},"beginTime":522,"endTime":615,"href":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=522&ask_summarization=1"},{"index":5,"title":"Doğru Parçası ve Doğru Sembolleri","list":{"type":"unordered","items":["Işın sembolü, bir tarafı kapalı, diğer tarafı açık olan ve ok işaretiyle gösterilen çizgidir.","Doğru parçası sembolü, her iki tarafı kesik olan çizgidir.","Doğru sembolü, her iki tarafı da ok işaretleriyle gösterilen çizgidir."]},"beginTime":615,"endTime":719,"href":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=615&ask_summarization=1"},{"index":6,"title":"Doğru Parçasının Uzunluğu","list":{"type":"unordered","items":["Doğru parçasının uzunluğu, mutlak değer içinde gösterilir (AB).","Doğru parçası ölçülebilirken, doğru sonsuza kadar gittiği için ölçülemez.","Doğru parçasının uzunluğu, iki nokta arasındaki mesafe olarak ifade edilir."]},"beginTime":719,"endTime":870,"href":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=719&ask_summarization=1"},{"index":7,"title":"Açı Kavramı","list":{"type":"unordered","items":["Açı, başlangıç noktaları aynı olan iki ışının oluşturduğu şekildir.","Açı oluşturan ışınlara açının kolları, ışınların başlangıç noktasına açının köşesi denir.","Açı, köşesinin harfiyle veya köşesinin harfi ile diğer iki kolun harfleriyle gösterilir (BC açısı veya CBA açısı)."]},"beginTime":870,"endTime":1082,"href":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=870&ask_summarization=1"},{"index":8,"title":"Açı Türleri","list":{"type":"unordered","items":["Açı, köşesinin ne kadar açık veya kapalı olduğunu gösterir.","Açı, dar açı, geniş açı veya orta açı olabilir.","Beşinci sınıf matematik konuları genellikle yorucu değildir."]},"beginTime":1082,"endTime":1189,"href":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=1082&ask_summarization=1"}],"linkTemplate":"/video/preview/8501003739062232393?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"5.Sınıf Matematik | Temel Geometrik Şekiller ve Özellikleri | Nokta | 2025 Yeni Müfredat | ders 1","related_orig_text":"Geometrik - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Geometrik - 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Bu videoda geometrik şekilleri öğreneceğiz ve her şeklin adını, köşe sayısını, kenar sayısını...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2852162/a6b11a8d4fd7586091a5e632a7d01a7a/564x318_1"},"target":"_self","position":"3","reqid":"1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=videoid:10913022704357698494","teaser":[{"list":{"type":"unordered","items":["Bu video, geometrik şekilleri öğretmeyi amaçlayan eğitici bir içeriktir. Bir eğitmen, geometrik şekillerin adını, köşe sayısını ve kenar sayısını göstermektedir.","Videoda üçgen, kare, daire ve dikdörtgen gibi temel geometrik şekiller tanıtılmaktadır. Her şekil için köşe sayısı ve kenar sayısı detaylı olarak gösterilmekte, köşelerin kenarların birleştiği yerler olduğu ve kenarların düz çizgiler olduğu açıklanmaktadır. 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Öğretmen, geometrik şekillerin isimlerini ve açılımlarını eşleştirme alıştırmaları yaparak anlatmaktadır.","Video, üçgen prizma, kare prizma, silindir, dikdörtgenler prizması, küp, koni ve küre gibi geometrik şekillerin isimlerini ve açılımlarını içermektedir. Öğretmen önce her şeklin açılımını göstererek hangisinin hangi şekle ait olduğunu açıklar, ardından her şeklin ayrıt sayısı, yüz sayısı ve köşe sayısı hakkında detaylı bilgiler verir. Video, geometrik şekillerin özelliklerini tekrar etmek için hazırlanmış bir eğitim içeriğidir."]},"endTime":568,"title":"Geometrik Şekiller ve Açılımları Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Geometrik Şekillerin Açılımları","list":{"type":"unordered","items":["Geometrik şekillerin açılımlarını eşleştirme alıştırmaları yapılacak.","Üçgen prizma, kare prizma, silindir, dikdörtgenler prizması, küp, koni ve küre gibi geometrik şekillerin isimleri hatırlatılıyor."]},"beginTime":16,"endTime":184,"href":"/video/preview/10102959245822782542?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=16&ask_summarization=1"},{"index":1,"title":"Geometrik Şekillerin Açılımlarının Eşleştirilmesi","list":{"type":"unordered","items":["Üçgen prizmanın açılımında tek üçgen bulunur.","Kare prizmada iki kare ve dört dikdörtgen bulunur.","Silindirde iki daire bulunur.","Dikdörtgenler prizmasının açılımında tüm şekiller 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3.sınıflar için hazırlanan bu videomuzda Geometrik Cisimlerin Yüzleri ve Yüzeyleri konusunu öğreneceksiniz.Videoyu izleyerek konuyu öğrenebilir ya da bilginizi pekiştirebilirsiniz.İyi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3390034/0893417bf8ed63a497ef2782088e8e84/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QCrOCQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=videoid:10232241060437149678","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitim içeriği olup, bir öğretmen tarafından geometrik cisimlerin yüzleri ve yüzeyleri hakkında bilgi verilmektedir.","Video, silindir, küp, üçgen prizma, dikdörtgenler prizması, koli ve kare prizma gibi geometrik cisimlerin açılım örneklerini detaylı şekilde incelemektedir. Her bir cismin yüzey açılımı gösterilmekte ve bunların düzlemsel şekillerden oluştuğu açıklanmaktadır. Ayrıca, geometrik cisimlerin yüzey açılımları ile düzlemsel şekiller arasındaki eşleştirme örnekleri ve günlük hayattan örneklerle geometrik cisimlerin tanınması konuları ele alınmaktadır."]},"endTime":493,"title":"Geometrik Cisimlerin Yüzleri ve Yüzeyleri","beginTime":0}],"fullResult":[{"index":0,"title":"Geometrik Cisimlerin Açılımları","list":{"type":"unordered","items":["Silindir iki daire ve bir dikdörtgenden oluşur.","Küp altı eş karenin birleşimiyle oluşur.","Üçgen prizma iki üçgen ve üç dikdörtgenden oluşur.","Dikdörtgenler prizması altı dikdörtgenin birleşimiyle oluşur.","Koni bir eğri yüz ve bir daireden oluşur.","Kare prizma iki kare ve dört dikdörtgenden oluşur."]},"beginTime":17,"endTime":141,"href":"/video/preview/10232241060437149678?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=17&ask_summarization=1"},{"index":1,"title":"Geometrik Cisimlerin Yüzeyleri","list":{"type":"unordered","items":["Geometrik cisimlerin yüzey açılımları düzlemsel şekillerden oluşur.","Geometrik cisimlerin yüzlerinin tamamı geometrik cismin yüzeyini oluşturur.","Koninin yüzlerinin tamamı geometrik cismin yüzeyini oluşturur.","Kürenin yüzü ve yüzeyleri aynıdır."]},"beginTime":141,"endTime":209,"href":"/video/preview/10232241060437149678?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=141&ask_summarization=1"},{"index":2,"title":"Geometrik Şekillerin Eşleştirilmesi","list":{"type":"unordered","items":["İki üçgen ve üç dikdörtgenden oluşan şekil üçgen prizmaya aittir.","Altı eş kareden oluşan şekil küptür.","İki daire ve bir dikdörtgenden oluşan şekil silindirdir.","İki kare ve dört dikdörtgenden oluşan şekil kare prizmadır.","Altı dikdörtgenden oluşan şekil dikdörtgenler 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Umarım öz ve özet...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4470146/378d0ccbc67d82e4eeac8e92267162e5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/J4KuewEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjYFXUFdzBVE","linkTemplate":"/video/preview/7267172117684526073?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometrik Cisimleri Öğreten Şarkı!","related_orig_text":"Geometrik - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Geometrik - 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merhaba :) Öğrencilerin neredeyse birçoğunun ilkokula başlamadan önce bile bildiği bu yüzden okulda öğrenirken keyif aldığı konu olan geometrik şekilleri bu videoda anlattım.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3121237/32b3f66e90f0bbcd05ed64ddd5527248/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/B-4oDgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=videoid:5817205776560284906","teaser":[{"list":{"type":"unordered","items":["Bu video, Setenay öğretmeni tarafından sunulan bir eğitim içeriğidir. Öğretmen, geometrik şekiller konusunu öğrencilere anlatmaktadır.","Video, geometrik şekillerin detaylı incelemesini içermektedir. Öncelikle kare, dikdörtgen, üçgen, çember ve çokgen çeşitleri tanıtılmakta, her birinin kenar sayısı, köşe sayısı, açı sayısı ve köşegen özellikleri açıklanmaktadır. Daha sonra geometrik cisimler (küp, kare prizma, dikdörtgen prizma, üçgen prizma, silindir ve koni) kullanılarak hangi geometrik şekillerin çizilebileceği gösterilmektedir. Video, çokgen çeşitlerinin kenar sayılarına göre isimlendirilmesiyle devam edip, altı köşesi, altı kenarı ve altı açısı bulunan geometrik şeklin adının sorulmasıyla sonlanmaktadır."]},"endTime":758,"title":"Geometrik Şekiller Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Geometrik Şekiller","list":{"type":"unordered","items":["Geometrik şekiller konusu incelenecek.","Kare, dikdörtgen, üçgen, çember ve çokgen çeşitleri tanıtılmakta."]},"beginTime":8,"endTime":21,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=8&ask_summarization=1"},{"index":1,"title":"Kare","list":{"type":"unordered","items":["Karenin bütün kenarları birbirine eşit uzunlukta olup dört kenarı, dört köşesi ve dört açısı vardır.","Köşegen, komşu olmayan iki köşeyi birleştiren çizgi olup karede iki tane köşegen vardır."]},"beginTime":21,"endTime":169,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=21&ask_summarization=1"},{"index":2,"title":"Dikdörtgen","list":{"type":"unordered","items":["Dikdörtgenin iki uzun, iki kısa kenarı vardır ve karşılıklı kenarları birbirine eşittir.","Dikdörtgen de dört kenarı, dört köşesi, dört açısı ve iki köşegeni vardır."]},"beginTime":169,"endTime":324,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=169&ask_summarization=1"},{"index":3,"title":"Üçgen","list":{"type":"unordered","items":["Üçgenin üç köşesi, üç kenarı ve üç açısı vardır.","Üçgenin bütün köşeleri birbirine komşu olduğu için köşegeni yoktur."]},"beginTime":324,"endTime":418,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=324&ask_summarization=1"},{"index":4,"title":"Çember","list":{"type":"unordered","items":["Çemberin ne köşesi, ne kenarı, ne açısı, ne de köşegeni vardır.","Çember, yuvarlak şeklinde bir geometrik şekildir."]},"beginTime":418,"endTime":470,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=418&ask_summarization=1"},{"index":5,"title":"Geometrik Cisimler ve Şekiller","list":{"type":"unordered","items":["Küp, kare prizma, dikdörtgen prizma, üçgen prizma, silindir ve koni gibi geometrik cisimlerden hangi şekillerin çizilebileceği incelenmektedir.","Küp sadece kare, kare prizma hem kare hem dikdörtgen, dikdörtgen prizma sadece dikdörtgen, üçgen prizma hem üçgen hem dikdörtgen, silindir ve koni sadece çember şekilleri oluşturabilir."]},"beginTime":470,"endTime":629,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=470&ask_summarization=1"},{"index":6,"title":"Çokgen Çeşitleri","list":{"type":"unordered","items":["Kenar sayılarına göre isimlendirilen şekillere çokgen adı verilir.","Dört kenarı olan şekil dörtgen, beş kenarı olan şekil beşgen, altı kenarı olan şekil altıgen, sekiz kenarı olan şekil sekizgendir.","Çokgenlerde isimler kenar sayılarına göre belirlenir."]},"beginTime":629,"endTime":757,"href":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=629&ask_summarization=1"}],"linkTemplate":"/video/preview/5817205776560284906?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"3. 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Öğretmen, bu bilgileri kullanarak çeşitli örnek sorular çözmekte ve üçgenlerde açı ilişkilerini göstermektedir.","Video, geometrik şekiller temasının ilk dersi olarak sunulmuş olup, bir sonraki derste açı-kenar bağıntıları ve aralarındaki ilişkiler ele alınacağı belirtilmiştir. İç ters açılık, geniş açılı üçgenler ve doğru açılar gibi kavramlar da örneklerle açıklanmaktadır."]},"endTime":1800,"title":"9. 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üçgendir."]},"beginTime":91,"endTime":184,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=91&ask_summarization=1"},{"index":2,"title":"Üçgenin İç Açıları Toplamının İspatı","list":{"type":"unordered","items":["İspat için önce BC kenarına paralel bir doğru çizilir.","Z kuralı kullanılarak iç ters açılar eşitlenir.","Doğru açının 180 derece olduğu bilgisi kullanılarak x+y+z=180° denklemi kurulur."]},"beginTime":184,"endTime":393,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=184&ask_summarization=1"},{"index":3,"title":"Üçgende Açı Problemleri","list":{"type":"unordered","items":["Bir üçgende bir açı 90°, diğer açı 75° olduğunda, üçüncü açı 15° olarak bulunur.","Doğru açının 180° olduğu bilgisi kullanılarak, bir açının ölçüsü hesaplanabilir.","Üçgenin iç açıları toplamı 180° olduğu bilgisi, üçgende açı problemlerini çözmek için kullanılır."]},"beginTime":393,"endTime":635,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=393&ask_summarization=1"},{"index":4,"title":"Üçgende Açı Hesaplamaları","list":{"type":"unordered","items":["B açısının 70 derece olduğu bulunmuş ve A açısının 70 derece olduğu hesaplanmıştır.","Üçgenin iç açıları toplamı 180 derece olduğundan, A açısının 70 derece olduğu bilgisiyle C açısının 40 derece olduğu bulunmuştur.","Doğru açının 180 derece olduğu bilgisi kullanılarak, C açısının 40 derece olduğu ve x açısının 140 derece olduğu hesaplanmıştır."]},"beginTime":638,"endTime":765,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=638&ask_summarization=1"},{"index":5,"title":"Dış Açıların Toplamı","list":{"type":"unordered","items":["Dış açıların ölçüleri toplamı 360 derece olduğu bilgisi verilmiştir.","İspat için iç açıların toplamı (180 derece) ve doğru açının 180 derece olduğu bilgisi kullanılmıştır.","Dış açıların toplamı 360 derece olduğu ispatlanmıştır."]},"beginTime":765,"endTime":940,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=765&ask_summarization=1"},{"index":6,"title":"Dış Açılarla İlgili Soru Çözümü","list":{"type":"unordered","items":["Bir üçgende dış açıların toplamı 360 derece olduğu bilgisi kullanılarak bir soru çözülmüştür.","Verilen dış açılar 140 derece, 5x-10 derece ve 3x+22 derece olarak ifade edilmiştir.","x değeri 26 derece olarak bulunmuştur."]},"beginTime":940,"endTime":1081,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=940&ask_summarization=1"},{"index":7,"title":"Üçgende Açı Eşitlikleri","list":{"type":"unordered","items":["Bir üçgende BPC açısının 60 derece olduğu ve iki eşitliğin olduğu bir soru çözülmüştür.","Eşitlikler kullanılarak açılar 2x ve 3x olarak ifade edilmiştir.","Dış açıların toplamı 360 derece olduğu bilgisi kullanılarak x değeri 48 derece olarak bulunmuş ve BP açısının 96 derece olduğu hesaplanmıştır."]},"beginTime":1081,"endTime":1284,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=1081&ask_summarization=1"},{"index":8,"title":"Üçgende Dış Açı Özellikleri","list":{"type":"unordered","items":["Üçgende bir dış açının ölçüsü kendine komşu olmayan iki iç açının ölçülerinin toplamına eşit olduğu bilgisi verilmiştir.","Bu özelliğin ispatı için A köşesinden geçen bir paralel doğru çizilmesi gerektiği belirtilmiştir."]},"beginTime":1284,"endTime":1347,"href":"/video/preview/17986277034757910895?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=1284&ask_summarization=1"},{"index":9,"title":"İç Ters Açılar ve Üçgen İç Açıları","list":{"type":"unordered","items":["İç ters açılık özelliği kullanılarak, paralel çizgiler ve iç ters açılar arasındaki ilişki gösteriliyor.","İki iç açının kendilerine komşu olmayan diğer üç dış açıya eşit olduğu ispatlanıyor.","Üçgenin iç açıları toplamı 180 derece olduğu bilgisi kullanılarak, alfa ve teta açılarının toplamı 52 derece olarak 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Öğretmen, 3. sınıf öğrencileri için geometrik şekiller konusunu anlatmaktadır.","Videoda küp, kare prizma, dikdörtgenler prizması, üçgen prizma, silindir, koni ve küre gibi geometrik şekillerin özellikleri detaylı olarak incelenmektedir. Her bir şekil için köşe sayısı, ayrıt sayısı ve yüz sayısı hesaplanarak, şekillerin açılımları gösterilerek özellikleri açıklanmaktadır. Özellikle küp, kare prizma ve dikdörtgenler prizması için sekiz köşe, on iki ayrıt ve altı yüz olduğu, koni, silindir ve küre için ise köşe ve ayrıt olmadığı vurgulanmaktadır."]},"endTime":675,"title":"3. 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örnekleridir."]},"beginTime":115,"endTime":165,"href":"/video/preview/9489025614534402020?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=115&ask_summarization=1"},{"index":3,"title":"Kare Prizma","list":{"type":"unordered","items":["Kare prizma, alt ve üst yüzeyleri karesel bölgelerden, yan yüzleri ise eş dikdörtgensel bölgelerden oluşan prizmadır.","Kare prizmanın sekiz köşesi, oniki ayrıtı ve altı yüzü bulunmaktadır.","Buzdolabı, çamaşır makinesi ve bulaşık makinesi gibi eşyalar kare prizma örnekleridir."]},"beginTime":165,"endTime":234,"href":"/video/preview/9489025614534402020?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=165&ask_summarization=1"},{"index":4,"title":"Üçgen Prizma","list":{"type":"unordered","items":["Üçgen prizma, alt ve üst yüzeyleri eş üçgensel bölgelerden ve yan yüzleri de dikdörtgensel bölgelerden oluşan prizmalara denir.","Üçgen prizmanın altı köşesi, dokuz ayrıtı ve beş yüzü vardır.","Üçgen prizmanın yüzlerinden iki tanesi üçgensel bölge, diğer üç yüzü ise dikdörtgensel bölgedir."]},"beginTime":234,"endTime":272,"href":"/video/preview/9489025614534402020?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=234&ask_summarization=1"},{"index":5,"title":"Silindir","list":{"type":"unordered","items":["Silindir, alt ve üst yüzeyleri eş daire, yan yüzleri eğri yüzey olan geometrik cisme denir.","Silindirin köşesi ve ayrıtı yoktur.","Piller, konserve kutuları ve cam kavanozlar bazı silindir örnekleridir."]},"beginTime":272,"endTime":315,"href":"/video/preview/9489025614534402020?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=272&ask_summarization=1"},{"index":6,"title":"Koni","list":{"type":"unordered","items":["Koni, bir daire dilimi ve bir daireden oluşan geometrik cisme verilen isimdir.","Koninin köşesi ve ayrıtı yoktur.","Parti şapkaları ve dondurma külahları koniye örnek olarak gösterilebilir."]},"beginTime":315,"endTime":342,"href":"/video/preview/9489025614534402020?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=315&ask_summarization=1"},{"index":7,"title":"Küre","list":{"type":"unordered","items":["Küre, bütün noktaları merkezden aynı uzaklıkta bulunan bir yüzeyle sınırlı geometrik cisimdir.","Küre, tek yüzü bulunan tam yuvarlak cisimdir.","Kürenin ayrıtı ve köşesi yoktur, sadece bir yüzü bulunur.","Dünyamız, bilyeler ve toplar çevremizde sıklıkla karşılaştığımız küre 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tonguçPLUS ile Derslerde 💯 Başarı! 👉 https://bit.ly/3yRc5yA 🎯 Matematikte Zorlandığın Konu Kalmasın 👉 http://bit.ly/3n33nug 📌Mart ayı programını buradan indirebilirsin ➡...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2954431/ab0862385b62c1f505e3f2589c820880/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/16QmOQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=videoid:11602861999759419784","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin Tonguç Eren adlı öğrencisiyle birlikte geometri konularını anlattığı eğitim içeriğidir. Öğretmen, kareli kağıt üzerinde görsel örnekler göstererek konuları açıklamaktadır.","Video, temel geometri kavramlarını sistematik bir şekilde ele almaktadır. İlk olarak nokta, doğru, doğru parçası ve ışın kavramları tanımlanmakta, ardından bu kavramların sembollerle gösterimi gösterilmektedir. Daha sonra aynı düzlemdeki iki doğrunun birbirine göre durumları (paralel, kesişen, dik ve çakışık) anlatılmakta ve son olarak açılar konusu (dik açı, dar açı, geniş açı) açıklanmaktadır.","Video boyunca öğretmen, konuları adım adım açıklamakta, farklı gösterim metotlarını göstermekte ve kareli kağıt üzerinde görsel örnekler sunmaktadır. Ayrıca, dersin başında öğrencilere sayısal kitaplardan ödevler verilmekte ve video, test soruları ve ödüllü bir soru ile sonlanmaktadır."]},"endTime":2371,"title":"Temel Geometri Kavramları ve Çizimler Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Temel Geometri Kavramları ve Çizimler","list":{"type":"unordered","items":["Geometri, matematiğin bir parçası olup üçgenler, dörtgenler gibi şekillerin temel altyapısını içerir.","Bu derste noktalar, doğru, doğru parçası ve ışın gibi temel geometrik kavramlar ve bunların arasındaki ilişkiler öğreneceğiz.","Dersin üç temel başlığı vardır: doğru, doğru parçası ve ışın; aynı düzlemdeki iki doğrunun durumları ve eş uzunlukta doğru parçaları çizimi; iki noktanın birbirine göre durumu ve 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düşünülebilir; sonu yoktur ve her iki taraftan da sonsuza doğru gider.","Doğru farklı şekillerde gösterilebilir: AB doğrusu, AB, BA doğrusu, d doğrusu gibi."]},"beginTime":177,"endTime":321,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=177&ask_summarization=1"},{"index":3,"title":"Doğru Parçası Kavramı","list":{"type":"unordered","items":["Doğru parçası, bir doğrunun iki farklı noktasının arasında kalan sınırlı kısımdır.","Doğru parçası köşeli parantezlerle gösterilir: AB veya BA doğru parçası.","Doğru parçasının uzunluğu, iki ucu sınırlı olduğu için ölçülebilir ve cetvel kullanılarak ifade edilebilir."]},"beginTime":321,"endTime":568,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=321&ask_summarization=1"},{"index":4,"title":"Doğru, Doğru Parçası ve Işın Kavramları","list":{"type":"unordered","items":["Başlangıç noktası sabit olup diğer ucu sonsuza kadar giden düz çizgilere ışın adı verilir.","Işın sembolle gösterilirken başlangıç noktası kapalı, diğer ucu açık olarak gösterilir (örneğin AB ışını).","Doğru, doğru parçası ve ışın olmak üzere üç farklı geometrik şekil vardır."]},"beginTime":570,"endTime":754,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=570&ask_summarization=1"},{"index":5,"title":"Geometrik Şekillerin Gösterimi","list":{"type":"unordered","items":["Doğru sembolü iki tarafa doğru sonsuza kadar giden çizgilerle gösterilir (örneğin AB doğrusu).","Işın sembolü başlangıç noktası kapalı, diğer ucu açık olarak gösterilir (örneğin NM ışını).","Doğru parçası sembolü iki ucu kapalı olarak gösterilir (örneğin KL doğru parçası)."]},"beginTime":754,"endTime":861,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=754&ask_summarization=1"},{"index":6,"title":"Farklı Gösterim Metotları","list":{"type":"unordered","items":["Doğru parçası farklı şekillerde gösterilebilir: iki ucu kapalı olarak, doğru parçası sembolü ile veya farklı harflerle.","Işın farklı şekillerde gösterilebilir: başlangıç noktası kapalı, diğer ucu açık olarak veya farklı harflerle.","Doğru farklı şekillerde gösterilebilir: iki ucu kapalı olarak veya küçük d harfi ile."]},"beginTime":861,"endTime":911,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=861&ask_summarization=1"},{"index":7,"title":"Eş Uzunlukta Doğru Parçaları Çizme","list":{"type":"unordered","items":["Kareli kağıtta her bir mesafenin bir birim olduğunu sayarak 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uzaklıktadır ve ortak noktaları yoktur.","Kesişen doğrular tek bir ortak noktası vardır, dik doğrular ise tek bir yerden kesişirler.","Diklik sembolü tepetaklak T harfi ile gösterilir, paralellik sembolü ise farklı bir şekilde gösterilir."]},"beginTime":1422,"endTime":1510,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=1422&ask_summarization=1"},{"index":11,"title":"Kareli Kağıt Üzerinde Doğru Parçalarının Uzunlukları","list":{"type":"unordered","items":["Kareli kağıtta verilen doğru parçalarının uzunlukları karşılaştırılabilir.","Doğru parçaların uzunlukları, kareli kağıt üzerinden hangi yönde ve kaç birim gidildiğine göre hesaplanabilir.","Verilen örnekte, PR ve TV doğru parçaları birbirine eşittir, EF ve MN doğru parçaları birbirine eşittir, ancak GH ve PR doğru parçaları birbirine eşit 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olan iki ışının birleşmiş halidir ve farklı gösterimlerle (KLM, MLK veya L) gösterilebilir.","Açıların ölçüsü \"s\" harfi ile gösterilir ve açı şapkası ile belirtilir.","Açı ölçüsünde açının köşesindeki harf her zaman ortaya yazılmalıdır."]},"beginTime":1894,"endTime":2054,"href":"/video/preview/11602861999759419784?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=1894&ask_summarization=1"},{"index":14,"title":"Açı Türleri","list":{"type":"unordered","items":["Dik açının ölçüsü doksan derecedir ve kareli kağıtta her bir kare doksan derecelik açıyla oluşur.","Doksan dereceden küçük olan açılara dar açı, doksan dereceden büyük olan açılara geniş açı denir.","Doğru açının ölçüsü yüzseksen derecedir ve dar açı ile geniş açı arasında yer 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Video, öğretmenin Nano'ya gelecekte de öğrenmek istediği şeyleri sormasını önermesiyle sona ermektedir."]},"endTime":371,"title":"Geometrik Şekiller Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Nono'nun Üzgün Durumu","list":{"type":"unordered","items":["Nono üzgün görünüyor ve canı sıkkın.","Nono okulda matematik dersinde geometrik şekilleri öğrenemediği için üzgün.","Nono matematiği seviyor ancak bazen anlayamıyor."]},"beginTime":21,"endTime":128,"href":"/video/preview/16053515257947693255?parent-reqid=1767002357485134-6963279204602574886-balancer-l7leveler-kubr-yp-klg-142-BAL&text=Geometrik+-+Topic&t=21&ask_summarization=1"},{"index":1,"title":"Geometrik Şekillerin Tanıtımı","list":{"type":"unordered","items":["Üçgen, üç kenarı olan bir şekildir.","Kare, dört eşit kenarı olan bir şekildir.","Dikdörtgen, dört kenarı olan ancak karşılıklı kenarları birbirine eşit olan bir şekildir.","Çember, hiç kenarı olmayan kocaman bir 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