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Video, konuşmacının \"Muharrem\" adlı bir kişiye yönelik eleştirilerle sona eriyor."]},"endTime":188,"title":"24 Haziran Seçimleri Üzerine Siyasi Eleştiri","beginTime":0}],"fullResult":[{"index":0,"title":"Seçimlerin Gündemini Takip Etmede Zorlanma","list":{"type":"unordered","items":["Yirmidört Haziran seçimleri yaklaştıkça gündemi takip etmede zorlanma yaşanıyor.","Seçim kampanyasında farklı politikacılar farklı stratejiler kullanıyor: bazıları halka parmak ısırtacak derecede fıtrat değiştiren sözler söylüyor, bazıları hesapsız ve kitapsız bir şekilde malları dağıtacaklarını vaat ediyor.","Bazıları milletin kazanımlarını yıkacaklarını, durduracaklarını, satacağını söylüyor."]},"beginTime":1,"endTime":21,"href":"/video/preview/10227147619256564969?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=1&ask_summarization=1"},{"index":1,"title":"Seçim Kampanyası Stratejileri","list":{"type":"unordered","items":["Bazı politikacılar kendilerini göstermek için meydanlarda cumhurbaşkanına \"beni de gör\" diyerek kendini gösterme çabaları yapıyor.","Diğerleri Kur'an'lı, mevlütlü mitingler düzenliyor.","Erdoğan'ı yıkmak için her türlü strateji kullanılabilir durumda."]},"beginTime":21,"endTime":45,"href":"/video/preview/10227147619256564969?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=21&ask_summarization=1"},{"index":2,"title":"İsmail Metin Paşa'nın Söylediği Sözler","list":{"type":"unordered","items":["İsmail Metin Paşa'nın \"15 Temmuz gecesi için mutlaka o paşayı öldürün\" emri verdiği belirtiliyor.","PKK terör örgütüne kök söktüren ve Afrin'de hareket gösteren YPG ve ABD'nin bayraklarını sınırlardan temizleyen Paşa'nın apoletlerini sökeceğini söylüyor.","Seçildiğinde Genelkurmay Başkanı'nı görevden alacağını, Kemal Paşa'nın apoletlerini sökeceğini ve 15 Temmuz ihanetiyle atılanları geri alacağını belirtiyor."]},"beginTime":45,"endTime":96,"href":"/video/preview/10227147619256564969?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=45&ask_summarization=1"},{"index":3,"title":"15 Temmuz Geçmişi ve Tepki","list":{"type":"unordered","items":["Konuşmacı, bu politikacının 15 Temmuz gecesinin intikamını almak istediğini ve darbelerle ele geçirmek isteyenlere gözdağı vermeye çalıştığını soruyor.","\"Apolet\" kavramını açıklamak için 15 Temmuz gecesinin videolarını izletiyor ve Fetö'nün köpeği generallerin apoletlerinin nasıl söküldüğünü gösteriyor.","Konuşmacı, bu politikacının \"derdimiz vatan\" diyerek hapishanelerdeki teröristlerle huzursuzluk getirmeye niyetlendiğini, \"derdimiz millet\" diyerek değerleri yok etmeye çalıştığını ve \"derdimiz ekonomi\" diyerek IMF'ye malları teslim etmeye hazır olduğunu belirtiyor."]},"beginTime":96,"endTime":176,"href":"/video/preview/10227147619256564969?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=96&ask_summarization=1"},{"index":4,"title":"Sonuç ve Eleştiri","list":{"type":"unordered","items":["Konuşmacı, bu politikacının \"derdimiz özgür bir Türkiye\" diyerek dünyanın aşağılık, alçak ve imansız taraflarıyla bir olup, ümmetin umudu olan bir lideri diz çöktürme çabalarını eleştiriyor.","Bu eleştiriye \"Muharrem\" adında biri tarafından cevap verilmediği belirtiliyor.","Konuşmacı, bu eleştiriye anlam vermek için fizik öğretmenliği değil, milletin ruhunu ve yüreğini okumak gerektiğini vurguluyor."]},"beginTime":176,"endTime":187,"href":"/video/preview/10227147619256564969?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=176&ask_summarization=1"}],"linkTemplate":"/video/preview/10227147619256564969?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Merak Edenler İçin; 1- Apolet Nedir? 2- Apolet Nasıl Sökülür? 3- Bu 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videoda Apolet Yayınları 8. Sınıf Fen Bilimleri Soru Bankasının Test 1 Soru Çözümlerini yaptık. Adım adım ilerleyerek her sorunun çözümünü detaylı bir şekilde anlatıyoruz. Videoyu beğenmeyi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1339794/496de90d8b465ff73f01b157daf5c952/564x318_1"},"target":"_self","position":"1","reqid":"1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdKHcaaB05o8","linkTemplate":"/video/preview/13478957036105981016?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Apolet Yayınları - Fen Bilimleri Soru Bankası - Test 1 - Soru Çözümü","related_orig_text":"Apslet","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Apslet\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dKHcaaB05o8\",\"src\":\"serp\",\"rvb\":\"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-AYLAQAA8-79Ag0E_gED-A0B-f7-APb0AwkIA_8A7vwA8_gAAAALAAIB_QAAAPb--wj0_wEAGQsF8wQAAAD8_AH_8QEAAPsQ-v_-AQAA9RcIAAMAAAALDvYF_wAAAPYPAQMBAAAAB_v7BgAAAAD44fv8AQAAACAALbgv0zs4E0AJSE5QAipzEAAaYPP2AFwgAAXm39UVA-g0A_Pf1gD3rET_AvYAyPTk7-1gGNIaVQBX7f4PmwAAABUI8BAMAB50reen9fz92qPK5CgRfyAWGckQ9wQeCG3-PM4fBtT9GgAC_M0DOaio9lYDDyAALTcnEzs4E0AJSG9QAiqvBhAMGqAGAACoQQAAsMEAADDBAAAwwQAAUMEAACDBAABAwAAAiMEAANjBAAAAAAAAUEEAABjCAAA4wgAAPMIAAHhCAABIwgAAQMAAAGTCAADAwQAAIMIAAI7CAABswgAAAMEAAIBCAABgQQAAoEAAAIbCAAAQwQAAFEIAAIC_AACMwgAA8EEAAGjCAAAEwgAAQEEAAOhBAADIQQAA_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_AAAAAAAAQMEAAADAAACgQQAATMIAAMDCAABMQgAAcMEAAADAAABwwQAARMIAAMDBAAAsQgAAQEEAADhCAABAwAAAcMEAAMDAAACAQQAANMIAAIA_AADgQAAA0EEAAJTCAABswgAAJEIAABxCAABEwgAA4MEAAOhBAAAQQQAA0EIAADzCAABgwgAAKEIAAADBAADoQQAAFMIAAJLCAACAQgAAkMEAAMBAAAD4QQAAksIAAFRCAACQwgAAVMIgADgTQAlIdVABKo8CEAAagAIAADw-AABwPQAAFD4AAFA9AABEPgAAFD4AAIg9AAALvwAAur4AALg9AAAMPgAAVL4AALY-AACAuwAA6r4AAJI-AAAMPgAAED0AAFw-AAABPwAAfz8AAKi9AAB8PgAAO78AADC9AADKvgAAEz8AAAQ-AAD2vgAADD4AAM4-AAAsvgAALD4AAFE_AABAPAAAAb8AAIi9AAD2vgAAQ78AAJ6-AACePgAAHL4AAHU_AABUvgAAND4AAI6-AACKvgAAjr4AAEw-AADuvgAAiD0AABQ-AABQPQAAmD0AAJY-AADIvQAATz8AAHC9AAAQPQAAgr4AAPg9AADIvQAALL4AAC-_IAA4E0AJSHxQASqPAhABGoACAAAUvgAA1j4AACS-AAArvwAAML0AAFC9AAAhPwAA-L0AAKg9AADgPAAARD4AAGy-AABQvQAAsr4AAPg9AABwvQAA-L0AANY-AABQvQAARD4AAMg9AABQvQAAoDwAAOC8AADYvQAAUL0AAMi9AACYPQAAmD0AAHy-AADgPAAAiD0AAN6-AADIvQAAfL4AABy-AAAEPgAAgDsAAJq-AADovQAAQDwAAAQ-AABUPgAALD4AACw-AACePgAAf78AAFC9AABEPgAA6D0AAJg9AAC4PQAAiD0AAIi9AAAkPgAA2D0AADC9AAAMvgAAgDsAAHC9AACIvQAAqL0AAKA8AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=dKHcaaB05o8","parent-reqid":"1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13478957036105981016"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12847860742332081777":{"videoId":"12847860742332081777","docid":"12-1-15-Z7B6A7142E337CF58","description":"Bu videoda Apolet Yayınları 8. Sınıf Matematik Soru Bankasının Test 1 Soru Çözümlerini yaptık. Adım adım ilerleyerek her sorunun çözümünü detaylı bir şekilde anlatıyoruz. Videoyu beğenmeyi ve...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2002864/0f4d6633b29bd2908ad0ec55d6aad5d7/564x318_1"},"target":"_self","position":"2","reqid":"1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=videoid:12847860742332081777","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen/eğitmen tarafından sunulan 8. sınıf matematik soru çözüm dersidir. Eğitmen, Apolet Yayınları'nın 8. sınıf matematik soru bankasından soruları adım adım çözmektedir.","Videoda toplam 22 matematik sorusunun çözümü gösterilmektedir. İlk bölümde sayıların çarpanları, asal çarpanları ve bölenleri konularını içeren 9 soru çözülmekte, ikinci bölümde ise kuvvetler, dikdörtgen alan ve çevre hesaplamaları, asal sayılar ve basamak değerleri gibi konuları içeren 13 soru ele alınmaktadır.","Eğitmen her soruyu detaylı olarak açıklamakta, çarpan listesi yöntemi ve çarpan ağacı yöntemi gibi farklı çözüm tekniklerini kullanmaktadır. Video, yeni eğitim öğretim yılının başlangıcında öğrencilere soru çözümleriyle destek olmayı amaçlamaktadır."]},"endTime":964,"title":"8. Sınıf Matematik Soru Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Yeni Eğitim Öğretim Yılı ve Soru Çözüm Planı","list":{"type":"unordered","items":["Yeni bir eğitim öğretim yılı başlıyor ve bol soru çözüm videoları paylaşılacak.","Apolet Yayınları'nın 8. sınıf matematik soru bankasının bir testi çözülecek.","Günde bir fen bilimleri ve bir matematik testi çözülecek."]},"beginTime":0,"endTime":33,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=0&ask_summarization=1"},{"index":1,"title":"Çarpanlar ve Bölenler Kavramları","list":{"type":"unordered","items":["Bir tam sayı olmak üzere, o sayıyı tam bölen veya kalansız bölen tam sayılara o sayının bölenleri veya çarpanları denir.","36 sayısının tüm doğal sayı çarpanları küçükten büyüğe doğru sıralandığında 1, 36, 2, 18, 3, 12, 4, 9, 6 olarak bulunur.","Bir sayının karesi verildiğinde çarpan sayısı tektir."]},"beginTime":33,"endTime":177,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=33&ask_summarization=1"},{"index":2,"title":"Asal Çarpanlar ve Çözüm Yöntemleri","list":{"type":"unordered","items":["Bir doğal sayı tam bölebilen asal sayılara o sayının asal çarpanları denir.","Asal çarpanlar bölen listesi yöntemi veya çarpan ağacı yöntemiyle bulunur.","48 sayısının bütün asal çarpanları 2 ve 3'tür."]},"beginTime":177,"endTime":242,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=177&ask_summarization=1"},{"index":3,"title":"Çarpan Ağacı ve İşlem Çözümü","list":{"type":"unordered","items":["Bölen listesi yöntemi ile asal çarpanlarına ayrılmış bir sayının çarpımları hesaplanabilir.","Çarpan ağacı yöntemiyle k+l ifadesinin alabileceği en büyük değer 26 olarak bulunur.","120 sayısının asal çarpanları çarpımı şeklinde yazılışı 2³×3×5'tir."]},"beginTime":242,"endTime":402,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=242&ask_summarization=1"},{"index":4,"title":"Üslü İfadeler ve Asal Çarpanlar","list":{"type":"unordered","items":["Üslü ifadelerde asal çarpanlar kullanılarak a+b işleminin sonucu 5 olarak bulunur.","Asal çarpan algoritmalarında k sayısı en büyük olan seçenek C seçeneğidir.","a ve b birbirinden farklı asal sayılar olmak üzere k×a²×5³ sağlayan en küçük üç basamaklı doğal sayı 108'dir."]},"beginTime":402,"endTime":572,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=402&ask_summarization=1"},{"index":5,"title":"Matematik Soru Çözümleri","list":{"type":"unordered","items":["a+b=5 olmak üzere k-2a×b ifadesinde k sayısı hangi değer olamaz sorusunun çözümü gösteriliyor.","Dikdörtgenin alanı 48 santimetre kare ve kenar uzunlukları doğal sayı olduğunda çevresinin en az uzunluğu 28 santimetre olarak bulunuyor.","Sayı doğrusunda verilen k, l sayıları asal sayı, m sayısı ise asal değildir şeklinde bir sorunun çözümü gösteriliyor."]},"beginTime":575,"endTime":851,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=575&ask_summarization=1"},{"index":6,"title":"Test Sonuçlanması","list":{"type":"unordered","items":["Selin'in yaşı iki basamaklı rakamları farklı en küçük asal sayı olan 13, Selda'nın yaşı asal çarpanların çarpımı 36, Sema'nın yaşı ise Selin'in yaşından büyük olan en küçük asal sayı olan 17 olarak belirleniyor.","Selin'in yaşı, Selda'nın yaşı ve Sema'nın yaşı arasındaki fark 32 olarak hesaplanıyor.","Birinci testin 13 soru çözümü yapıldığı ve ikinci testin de çözüleceği belirtilerek video sonlandırılıyor."]},"beginTime":851,"endTime":962,"href":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=851&ask_summarization=1"}],"linkTemplate":"/video/preview/12847860742332081777?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Apolet Yayınları - 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Konuşmacı, 4 cm ve 6 cm lik kumaş kullanarak, normalde dıştan içinden vurulması ve tornavida yardımıyla çevrilmesi gereken apoletin, çevirme yapmadan pratik bir şekilde nasıl yapılacağını göstermektedir. Önce kumaşın kenarları katlanıp işaretleniyor, ardından dikiş vurularak sivrilik oluşturuluyor ve son olarak etrafına dikiş çekilerek şık bir apolet elde ediliyor."]},"endTime":271,"title":"Apolet Yapımı Pratik Dikiş Tekniği","beginTime":0}],"fullResult":[{"index":0,"title":"Apolet Yapımı Tanıtımı","list":{"type":"unordered","items":["Video, apolet adı verilen parçanın pratik bir şekilde nasıl yapıldığını gösterecek.","Apolet, 4 cm veya 6 cm boyutlarında kumaştan yapılır ve yanlarından 1 santimetre katlanarak ütülenir.","Apolet omuzlarda, bellerde ve farklı yerlerde kullanılır."]},"beginTime":5,"endTime":55,"href":"/video/preview/3765335275944565832?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=5&ask_summarization=1"},{"index":1,"title":"Apolet Yapım Adımları","list":{"type":"unordered","items":["Kumaşın iki tarafı 1 santimetre kısaltılır ve ortasına işaret alınır.","Ütü, işaret edilen orta noktaya gelecek şekilde yerleştirilir ve 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Sınıf Matematik Soru Bankasının Test 3 Soru Çözümlerini yaptık. Adım adım ilerleyerek her sorunun çözümünü detaylı bir şekilde anlatıyoruz. Videoyu beğenmeyi ve...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/398427/97be17a504290dd3598be11d14c08f52/564x318_1"},"target":"_self","position":"5","reqid":"1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=videoid:10077543287787770280","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan LGS 2025 matematik dersinin \"Çarpanlar ve Katlar\" ünitesinin \"Aralarında Asal Sayılar\" konusunu içeren bir eğitim içeriğidir. Apolet Yayınları tarafından sunulmaktadır.","Videoda aralarında asal sayılar konusu üzerinden toplam on iki soru çözülmektedir. Eğitmen, aralarında asal sayıların tanımını açıklayarak (bir'den başka ortak böleni bulunmuyorsa bu sayılarında aralarında asal denir) her soruyu adım adım çözmektedir. Video, LGS sınavına hazırlanan öğrenciler için pratik soru çözümlerini içermektedir.","Son soru izleyicilere bırakılarak yorum kısmına cevap vermeleri istenmekte ve doğru cevap verenlerin bir sonraki videoda cevap vereceği belirtilmektedir."]},"endTime":952,"title":"LGS Matematik: Aralarında Asal Sayılar Soru Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Aralarında Asal Sayılar Kavramı","list":{"type":"unordered","items":["LGS 2025 matematiğinin ilk koy ünitesi olan çarpanlar ve katlar konusunun aralarında asal sayılar kazanımıyla soru çözüm kampı sunuluyor.","Aralarında asal sayılar, bir'den başka ortak böleni bulunmayan sayılardır."]},"beginTime":0,"endTime":21,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=0&ask_summarization=1"},{"index":1,"title":"Aralarında Asal Sayılar Soruları","list":{"type":"unordered","items":["24 sayısı ile aralarında asal olan sayı 35'tir çünkü 35 sadece 1 ve 35'e bölünür.","15 ile aralarında asal olan sayı 56'dır çünkü 56 sayısı 15'e bölünmez.","34 ile 51 sayıları aralarında asal değildir çünkü her ikisi de 17'ye bölünür."]},"beginTime":21,"endTime":204,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=21&ask_summarization=1"},{"index":2,"title":"Aralarında Asal Sayılar Problemleri","list":{"type":"unordered","items":["63 ile 210 sayılarının aralarında asal olması için k=3 ve l=10 olmalıdır, toplamları 13'tür.","63, 21 ve 57 sayılarından 63 ile 21 çıkarılırsa geriye kalan sayılar aralarında asal olur.","a ve a+7 sayıları aralarında asal olduğunda, a'nın 7'nin katı olmaması gerekir, örneğin a=23 olabilir."]},"beginTime":204,"endTime":454,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=204&ask_summarization=1"},{"index":3,"title":"Asal Sayılar Uygulamaları","list":{"type":"unordered","items":["Asal olan iki sınıfta toplam 54 öğrenci olduğunda, bir sınıfın mevcudu 25 olabilir çünkü 25 ve 29 aralarında asaldır.","15 ile 39 sayılarının EBOB'u 3'tür, bu sayılar aralarında asaldır."]},"beginTime":454,"endTime":548,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=454&ask_summarization=1"},{"index":4,"title":"Aralarında Asal Sayılar","list":{"type":"unordered","items":["Aralarında asal sayılar, birden başka ortak böleni olmayan sayı çiftleridir.","45 ve 64 sayıları aralarında asaldır çünkü ortak bölenleri sadece 1'dir.","65 ve 36 sayısı da aralarında asaldır çünkü ortak bölenleri sadece 1'dir."]},"beginTime":551,"endTime":640,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=551&ask_summarization=1"},{"index":5,"title":"Aralarında Asal Sayılarla İlgili Sorular","list":{"type":"unordered","items":["63 ve k aralarında asal sayılar olduğuna göre, k sayısı 63'ün çarpanlarından birine (3, 7, 21, 63) kesinlikle tam bölünemez.","a ve b aralarında asal sayılar ve a-b=6 olduğuna göre, a sayısı 33 olamaz çünkü 33-6=27 ve 27 ile 33 aralarında asal değildir.","Aralarında asal iki doğal sayının toplamı 45 olduğunda, bu sayılardan biri 16 olabilir çünkü 16+29=45 ve 29 bir asal sayıdır."]},"beginTime":640,"endTime":914,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=640&ask_summarization=1"},{"index":6,"title":"Video Kapanışı","list":{"type":"unordered","items":["Video sonunda bir sürpriz soru bırakılmış ve izleyicilerden cevaplarını yorumlar kısmında belirtmeleri istenmiştir.","Doğru cevaplayanların altına tebrikler mesajı ile cevap verilecektir.","Bir sonraki test videosunda bu sorunun cevabı paylaşılacaktır."]},"beginTime":914,"endTime":949,"href":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=914&ask_summarization=1"}],"linkTemplate":"/video/preview/10077543287787770280?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Apolet Yayınları - 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Sınıf Matematik Soru Bankasının Test 2 Soru Çözümlerini yaptık. Adım adım ilerleyerek her sorunun çözümünü detaylı bir şekilde anlatıyoruz. Videoyu beğenmeyi ve...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3821543/9cf18902e7fa151eb1de1d673d84a12e/564x318_1"},"target":"_self","position":"6","reqid":"1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=videoid:15126932499669294952","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen/eğitmen tarafından sunulan Apollo Yayınları'nın matematik test sorularının çözüm dersidir.","Videoda öğretmen, Apollo Yayınları'nın matematik testlerinin ikinci testindeki soruları adım adım çözmektedir. Çözülen sorular arasında dikdörtgen ve kare şeklindeki şekillerin alanları, asal çarpanlar, çarpanlar toplamı, \"yarım mükemmel sayı\" kavramı ve evin alanı hesaplama gibi konular yer almaktadır.","Video, matematik problemlerinin çözüm tekniklerini öğrenmek isteyen öğrenciler için hazırlanmıştır. Her soru detaylı olarak incelenmekte ve çözüm yöntemleri gösterilmektedir. Video, ikinci testin son sorusunun çözümüyle sona erer ve üçüncü testte görüşmek üzere veda edilir."]},"endTime":1194,"title":"Apollo Yayınları Matematik Test Çözüm Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Dikdörtgen Bahçe Sorusu","list":{"type":"unordered","items":["Alanı 32 santimetre kare ve kenar uzunlukları metre cinsinden tam sayı olan dikdörtgen şeklindeki bir bahçe için kaç farklı bahçe çizilebileceği soruluyor.","32'nin çarpanları bulunarak (1x32, 2x16, 4x8) 3 farklı bahçe çizilebileceği hesaplanıyor."]},"beginTime":13,"endTime":73,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=13&ask_summarization=1"},{"index":1,"title":"Asal Çarpanlar Sorusu","list":{"type":"unordered","items":["Birden fazla asal çarpanı olan ve en küçük ile en büyük asal çarpanların toplamı 7 olan iki basamaklı doğal sayılar soruluyor.","Asal çarpanlar 2, 3, 5 ve 7 kullanılarak 20, 30, 40, 50, 60, 80 ve 90 sayıları bulunuyor.","Toplam 8 farklı iki basamaklı doğal sayı olduğu sonucuna varılıyor."]},"beginTime":73,"endTime":175,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=73&ask_summarization=1"},{"index":2,"title":"Kare Kartlar Sorusu","list":{"type":"unordered","items":["Kenar uzunluğu 1 santim olan 72 tane kare şeklindeki kart birleştirilerek elde edilen dikdörtgenin çevresi en az kaç santimetredir soruluyor.","72'nin çarpanları bulunarak (1x72, 2x36, 3x24, 4x18, 6x12, 8x9) en küçük çevresi hesaplanıyor.","Çevresi en az 34 santimetre olarak bulunuyor."]},"beginTime":175,"endTime":280,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=175&ask_summarization=1"},{"index":3,"title":"Asal Çarpanlar ve Çarpan Sayısı Sorusu","list":{"type":"unordered","items":["K asal çarpan sayısı 3 olan iki basamaklı en küçük doğal sayıdır.","56 sayısının pozitif tam sayı çarpan sayısı 8, 320 sayısının asal çarpanların sayısı 1 olarak hesaplanıyor.","K+M+N işleminin sonucu 70 olarak bulunuyor."]},"beginTime":280,"endTime":440,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=280&ask_summarization=1"},{"index":4,"title":"Çarpanlar ve Sayılar Sorusu","list":{"type":"unordered","items":["K=2250x×357 eşitliği verilmiş ve hangisinin olamayacağı soruluyor.","Çarpanlar ayrılarak farklı değerler deneniyor.","7 değeri olamayacağı sonucuna varılıyor."]},"beginTime":440,"endTime":528,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=440&ask_summarization=1"},{"index":5,"title":"Asal Çarpanlar ve Toplamları","list":{"type":"unordered","items":["36 sayısının asal çarpanları 2×2×3×3×1 olup, farklı iki asal çarpanın toplamı 5'tir.","45 sayısının asal çarpanları 5×5×3 olup, farklı asal çarpanlarının toplamı 8'dir.","Bir sayının farklı asal çarpanlarının toplamı 12 olacak şekilde B seçeneği doğru cevaptır."]},"beginTime":537,"endTime":620,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=537&ask_summarization=1"},{"index":6,"title":"Çarpanlar Problemi","list":{"type":"unordered","items":["2³×3²×7² işleminin sonucu elde edilen sayının çarpanlarından biri olmayan sayı 90'dur çünkü 90'ın içinde mutlaka bir 5 olması gerekirken, verilen çarpanlar arasında bir 5 yoktur.","Kare içerisindeki kutucuklara 1'den 9'a kadar rakamlar yazılacak ve karelerin dışındaki sayılar o satır veya sütundaki sayıların çarpımına eşittir.","K+L+M toplamı 12 olarak bulunmuştur."]},"beginTime":620,"endTime":860,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=620&ask_summarization=1"},{"index":7,"title":"Asal Çarpanlar ve Sayılar","list":{"type":"unordered","items":["Kal sayısı üç farklı asal çarpanlarına sahip olup, en küçüğü 2, en büyüğü 7 olan sayılar 3, 25 veya 77 olabilir.","140 sayısının asal çarpanları 2, 2, 2, 5 ve 7 olup, en küçük asal çarpanı 2, en büyük asal çarpanı 7 olduğundan, bu sayı kal sayısı olabilir.","210 sayısının asal çarpanları 2, 3, 5 ve 7 olup, dört farklı asal çarpan içerdiği için kal sayısı olamaz."]},"beginTime":860,"endTime":941,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=860&ask_summarization=1"},{"index":8,"title":"Ev Alanı Problemi","list":{"type":"unordered","items":["Dikdörtgen şeklinde olan bir evin krokisinde odaların kenar uzunlukları metre cinsinden tam sayıdır.","Evin toplam alanı en az 360 santimdir.","Köşelerdeki çarpanların aynı olması gerektiği için, 45 ile 25'in ortak asal çarpanı 5'tir."]},"beginTime":941,"endTime":990,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=941&ask_summarization=1"},{"index":9,"title":"Dikdörtgen Alan Hesaplama","list":{"type":"unordered","items":["Dikdörtgenin alanlarını hesaplamak için ortak çarpanları bulmak gerekiyor.","Büyük dikdörtgenin alanı 18 x 10 = 180 olarak hesaplanıyor."]},"beginTime":994,"endTime":1049,"href":"/video/preview/15126932499669294952?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=994&ask_summarization=1"},{"index":10,"title":"Yarım Mükemmel Sayılar","list":{"type":"unordered","items":["Bir pozitif tam sayı kendisinden farklı en büyük üç pozitif tam sayı bölenin toplamına eşitse bu 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Öğretmen, öğrencilere hitap ederek problem çözümlerini adım adım göstermektedir.","Videoda EBOB ve EKOK kavramlarının açıklanmasıyla başlanmakta ve çeşitli soru tiplerinin çözüm yöntemleri gösterilmektedir. İlk bölümde çarpanlı yöntem, algoritma yöntemi ve üslü sayılarla EBOB-EKOK bulma gibi farklı yöntemler anlatılırken, ikinci bölümde 8'den 13'e kadar olan EBOB ile ilgili problemler çözülmektedir.","Öğretmen, sayıların EBOB'larını bulma yöntemlerini, asal çarpanlara ayırma tekniğini ve EBOB'ların günlük hayattaki uygulamalarını (çubukların eş parçalara ayrılması, sıvıların eşit hacimli şişelere doldurulması gibi) detaylı şekilde açıklamaktadır. Video, öğrencilere sınav hazırlığı için faydalı olabilecek problem çözümleri sunmaktadır."]},"endTime":1082,"title":"Matematik Dersi: EBOB ve EKOK Soru Çözümleri","beginTime":0}],"fullResult":[{"index":0,"title":"Aralarında Asal Sayılar","list":{"type":"unordered","items":["İki asal sayı aralarında asaldır, örneğin 2 ile 3, 3 ile 5, 3 ile 7.","17 ile tüm doğal sayılar aralarında asal değildir çünkü 17 asal sayıdır ancak tüm sayılarla ortak bölenleri vardır.","Ardışık pozitif tek tam sayılar aralarında asaldır, örneğin 1 ile 3, 3 ile 5, 5 ile 7, 21 ile 23, 23 ile 25."]},"beginTime":0,"endTime":93,"href":"/video/preview/1995818043958238139?parent-reqid=1769590992032927-7759262533416231660-balancer-l7leveler-kubr-yp-vla-37-BAL&text=Apslet&t=0&ask_summarization=1"},{"index":1,"title":"EBOB (En Büyük Ortak Bölen)","list":{"type":"unordered","items":["İki veya daha fazla tam sayı karansız bölebilen en büyük tam sayıya o sayıların EBOB denir.","EBOB üç şekilde bulunabilir: çarpanlar yöntemi, 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