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Çelik PDF:https://drive.google.com/file/d/1Zaf_... Hayat boyu başarılar... 👇Önemli👇 Bu önemli KONU Anlatimlari ve SORU çözümlerinin Hepsinden haberdar olmak için; 👇👇 Abonel OLUP👇👇...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4443031/255c6340ae8d39580510845b7f43dbfa/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/3V3IGwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvLmlBVTz8qw","linkTemplate":"/video/preview/8079527319335140902?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"20) DGS Matematik- Sayılar | KONU Deneme Sinavi-İnan Çelik 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Το παιχνίδι με τους γρίφους συνεχίζεται. Ο σημερινός γρίφος μπορεί να σου \"αλλάξει τα φώτα\". Θυμίζω ότι η λύση κάθε γρίφου έρχεται παρέα με τον επόμενο γρίφο...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1777749/025cbda93e2b071f0f8e2687c302f758/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/sSxnBgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D895ZPdiEsy0","linkTemplate":"/video/preview/1494925166427290938?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"3. \"Η φυλακή με τις τρεις λάμπες\". 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Öğretmen, 44 numaralı föyü çözerek konuyu adım adım açıklamaktadır.","Videoda dik prizmaların hacim hesaplaması konusu ele alınmaktadır. Öğretmen önce dik prizmaların hacim formülünü (taban alanı çarpı yükseklik) açıklar, ardından üçgen, kare, beşgen, yamuk ve düzgün altıgen tabanlı prizmaların hacim hesaplamalarını örneklerle gösterir. Ayrıca dikdörtgenler prizması, kare prizma, küp ve su seviyesi değişimi gibi farklı problem türleri de çözülmektedir.","Video, basit sorulardan başlayarak zorlayıcı sorulara doğru ilerlemekte ve ÖSYM sınavlarında çıkabilecek soru tiplerini içermektedir. Öğretmen her problem için şekil çizerek çözüm sürecini görselleştirmekte ve öğrencilerin sorularına yanıt vermektedir. Video, ödev testine geçileceği bilgisiyle sonlanmaktadır."]},"endTime":1814,"title":"Dik Prizmaların Hacmi ve Geometri Problemleri Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dik Prizmaların Hacmi","list":{"type":"unordered","items":["Dik prizmaların hacmi, taban alanı çarpı yükseklik formülüyle hesaplanır.","Tabanı üçgen olan bir prizmada, üçgenin alanı çarpı yükseklik şeklinde ifade edilir.","Tabanı kare olan bir prizmada, karenin alanı çarpı yükseklik şeklinde hesaplanır."]},"beginTime":1,"endTime":67,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1&ask_summarization=1"},{"index":1,"title":"Üçgen Tabanlı Prizma Örneği","list":{"type":"unordered","items":["Üçgen tabanlı prizmanın hacmi, üçgenin alanı çarpı yükseklik formülüyle hesaplanır.","Üçgenin alanı hesaplanırken, üçgenin kenarları ve yüksekliği kullanılır.","Örnek soruda, üçgenin alanı 150 birim kare olarak hesaplanmıştır."]},"beginTime":67,"endTime":115,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=67&ask_summarization=1"},{"index":2,"title":"Yamuk Tabanlı Prizma Örneği","list":{"type":"unordered","items":["Yamuk tabanlı prizmanın hacmi, yamuk taban alanı çarpı yükseklik formülüyle hesaplanır.","Prizmalarda yan yüzler tabana dik olduğu için, üst taban ve alt taban birbirine paralel olmak zorundadır.","Örnek soruda, ikizkenar yamuk taban alanı hesaplanarak prizmanın hacmi 72 birim küp olarak bulunmuştur."]},"beginTime":115,"endTime":189,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=115&ask_summarization=1"},{"index":3,"title":"Düzgün Altıgen Tabanlı Prizma Örneği","list":{"type":"unordered","items":["Düzgün altıgen, altı tane eşkenar üçgenden oluşur.","Düzgün altıgenin alanı, bir eşkenar üçgenin alanının altı ile çarpılmasıyla bulunur.","Örnek soruda, düzgün altıgenin alanı 6√3 birim kare olarak hesaplanarak prizmanın hacmi 48√3 birim küp olarak bulunmuştur."]},"beginTime":189,"endTime":291,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=189&ask_summarization=1"},{"index":4,"title":"Dikdörtgenler Prizmasının Hacmi","list":{"type":"unordered","items":["Dikdörtgenler prizmasının hacmi, taban alanı çarpı yükseklik formülüyle hesaplanır.","Dikdörtgenler prizmasının farklı yüzlerinin alanları verildiğinde, hacim hesaplanabilir.","Örnek soruda, dikdörtgenler prizmasının hacmi 60 birim küp olarak bulunmuştur."]},"beginTime":291,"endTime":447,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=291&ask_summarization=1"},{"index":5,"title":"Dikdörtgenler Prizmasının Alanı ve Hacmi","list":{"type":"unordered","items":["Dikdörtgenler prizmasının alanı, 2ab + bc + ac formülüyle hesaplanır.","Prizmanın hacmi, taban alanı çarpı yükseklik formülüyle hesaplanır.","Örnek soruda, prizmanın hacmi 90 birim küp olarak bulunmuştur."]},"beginTime":447,"endTime":580,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=447&ask_summarization=1"},{"index":6,"title":"Dikdörtgenler Prizması Problemi","list":{"type":"unordered","items":["Çekirdek ağzı kapalı olan dikdörtgenler prizması biçimindeki kabın içindeki suyun yüksekliği üç birimdir.","Kab BCGF yüzey üzerine yatırıldığında suyun yüksekliği hesaplanmaktadır.","Hacim eşitliği kullanılarak suyun yeni yüksekliği beş birim olarak bulunmuştur."]},"beginTime":582,"endTime":758,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=582&ask_summarization=1"},{"index":7,"title":"Kesilen Prizma Problemi","list":{"type":"unordered","items":["Bir prizma tam ortadan kesildiğinde geriye kalan büyük parçanın hacmi sorulmaktadır.","Kesilen kısmın hacmi çıkarılarak tüm hacimden geriye kalan hacim hesaplanmaktadır.","Kesilen kısmın hacmi 16 birim küp olduğundan, geriye kalan hacim 32 birim küp olarak bulunmuştur."]},"beginTime":758,"endTime":876,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=758&ask_summarization=1"},{"index":8,"title":"Kare Prizma ve Dikdörtgenler Prizması Problemi","list":{"type":"unordered","items":["Taban ayrıtı 6 cm, yüksekliği 8 cm olan kare prizma ile taban ayrıtları 2 cm ve 3 cm olan dikdörtgenler prizması biçiminde özdeş 12 kap verilmiştir.","Kare prizma içindeki suyun hepsi ile 12 kap tamamen dolduğuna göre, kapların yüksekliği hesaplanmaktadır.","Hacim eşitliği kullanılarak kapların yüksekliği 4 birim olarak bulunmuştur."]},"beginTime":876,"endTime":1029,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=876&ask_summarization=1"},{"index":9,"title":"İç İçe Prizma Problemi","list":{"type":"unordered","items":["Yüksekliği 12 birim, 6 birim ve 3 birim olan kare dik prizma şekildeki gibi yerleştirilmesiyle oluşan yapının hacmi 189 birim küp olduğuna göre, AB uzunluğu sorulmaktadır.","Hacim eşitliği kullanılarak x² = 9 bulunmuştur.","AB uzunluğu 3x = 9 birim olarak hesaplanmıştır."]},"beginTime":1029,"endTime":1143,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1029&ask_summarization=1"},{"index":10,"title":"İç İçe Prizma ve Su Problemi","list":{"type":"unordered","items":["Yükseklikleri 12 birim olan kare dik prizma biçimindeki iki kaptan dıştakinin taban ayrıtı içtekinin taban ayrıtının iki katıdır.","İçteki kap ağzına kadar suyla dolu ve iki kap arasında bir delik açıldığında su kaç birim yüksekte çıkar sorulmaktadır.","Hacim eşitliği kullanılarak su yüksekliği 3 birim olarak bulunmuştur."]},"beginTime":1143,"endTime":1271,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1143&ask_summarization=1"},{"index":11,"title":"Kutu Hacmi Problemi","list":{"type":"unordered","items":["Kenarlardan dört santimetre olan kareler kesilerek çıkartılan karton parçası kıvrılarak üstü açık bir kutu yapılıyor.","Kutunun taban alanı 10x10, yüksekliği 4 olduğundan hacmi 400 birim küp olarak hesaplanıyor."]},"beginTime":1278,"endTime":1365,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1278&ask_summarization=1"},{"index":12,"title":"Küp Hacmi Problemi","list":{"type":"unordered","items":["Şekildeki üçgensel bölgenin alanı 2√3 olarak verilmiş, kare şeklindeki küpün kenar uzunluğu a olarak belirlenmiş.","Eşkenar üçgenin alanı formülü kullanılarak a² = 8 bulunuyor ve a = 2 olarak hesaplanıyor.","Küpün hacmi 2³ = 8 birim küp olarak bulunuyor."]},"beginTime":1365,"endTime":1426,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1365&ask_summarization=1"},{"index":13,"title":"Dik Prizma Hacmi Problemi","list":{"type":"unordered","items":["Bir ayrıtı 5 birim olan küpten taban ayrıtı 3 birim olan kare dik prizma kesilip çıkarılıyor.","Büyük küpün hacmi 5³ = 125, küçük prizmanın hacmi 3³ = 27 olarak hesaplanıyor.","Kalan hacim 125 - 27 = 80 birim küp olarak bulunuyor."]},"beginTime":1426,"endTime":1502,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1426&ask_summarization=1"},{"index":14,"title":"Küp Şeklindeki Eş Paketler Problemi","list":{"type":"unordered","items":["12, 20 ve 24 olan ayrıtları olan dikdörtgenler prizması biçimdeki kutunun içine küp şeklindeki eş paketler yerleştirilecek.","Küplerin uzunluğunun en büyük olması için EBOB (12, 20, 24) = 6 olarak bulunuyor.","Kutu en az 90 paket küp içine yerleştirebilir."]},"beginTime":1502,"endTime":1675,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1502&ask_summarization=1"},{"index":15,"title":"Su Seviyesi Problemi","list":{"type":"unordered","items":["Taban ayrıtları 12 cm x 8 cm olan dikdörtgenler prizması biçimde bir kapta su var.","Ayrıtı 6 cm olan kapalı bir küp tabanı kabın tabanına değecek biçimde suya batırınca su seviyesi küpün üçte birine yükseliyor.","Suyun yüksekliği 4 cm olarak hesaplanıyor."]},"beginTime":1675,"endTime":1812,"href":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=1675&ask_summarization=1"}],"linkTemplate":"/video/preview/12207436627664000649?parent-reqid=1774103393299219-6866919077632062282-balancer-l7leveler-kubr-yp-sas-26-BAL&text=zaf-math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dik prizmalar Daf44 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