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PDF si...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3273022/633b86a85697e3e2bf9e6574b41d3b89/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/u8SvDQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=videoid:15135869135286196040","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan TYT sınavına yönelik matematik problemleri çözüm dersidir. Eğitmen, izleyicilerin beğeni ve yorumlarına göre bu seriyi devam ettireceğini belirtiyor.","Videoda TYT sınavındaki yeni nesil matematik soruları ele alınmaktadır. İlk bölümde tek çift sayılar, kare kare sayılar, karışık sayılar ve acayip sayılar gibi yeni kavramlar içeren hikayeli sorular çözülmekte, ikinci bölümde ise 19'a tam bölünebilen sayılar, dörtgen sayılar ve rahat sayılar gibi farklı problem türleri adım adım açıklanmaktadır.","Eğitmen, her problem için önce kuralı açıklar, ardından örnek sorular çözer ve çözüm yöntemlerini detaylı şekilde anlatır. Video, eğitmenin serinin devam edip etmeyeceği konusunda izleyicilerden tepki istemesiyle sona erer."]},"endTime":811,"title":"TYT Yeni Nesil Matematik Soruları Çözüm Serisi","beginTime":0}],"fullResult":[{"index":0,"title":"Yeni Nesil Sorular Serisi","list":{"type":"unordered","items":["Yeni bir seri başlıyor: TYT'deki yeni nesil sorular, klasik soruların dışında, hikaye içeren ve biraz daha farklı sorular.","Bu serinin devamı, izleyicilerin beğeni ve yorumlarına göre belirlenecek.","Yeni nesil sorular için piyasada çok fazla kaynak bulunmuyor."]},"beginTime":8,"endTime":45,"href":"/video/preview/15135869135286196040?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=8&ask_summarization=1"},{"index":1,"title":"İlk Hikayeli Soru","list":{"type":"unordered","items":["Bir kutuda 1'den 7'ye kadar yedi adet kart bulunuyor, Hakan üç tanesini seçiyor, Erkan kalanlardan ikisini seçiyor.","Hakan, Erkan'ın seçtiği 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Daha kolay soruları kanalımda bulabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1033298/d2673cc27f693fe874c6e76f04e7b6dd/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/0w-V8AAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=videoid:17653750768891709678","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersidir. Eğitmen, sayı ve kesir problemleri konusunda zor soruları çözmektedir.","Videoda dört farklı problem çözülmektedir: mum sorusu, öğrencinin günlük soru çözme problemi, havayolu şirketinin bagaj ağırlığı cezası problemi ve turizm şirketinin araç alım problemi. Her problem için adım adım çözüm yöntemi gösterilmekte, bilinmeyenler tanımlanarak denklemler kurulup çözülmektedir. Eğitmen, problemleri çözerken pratik ipuçları vererek, öğrencilere bu tür problemleri nasıl yaklaşacaklarını öğretmektedir."]},"endTime":789,"title":"Sayı ve Kesir Problemleri Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Mum Sorusu Çözümü","list":{"type":"unordered","items":["İki mum var, biri 6 saat, diğeri 5 saat sonra bitiyor.","Mumların boyları 30 olarak alınarak, birinci mumun her saatte 5, ikinci mumun her saatte 6 erime miktarı hesaplanıyor.","X saat sonra birinin boyu diğerinin iki katı olacak, bu durumda 30/7 = 4,29 saat sonra birinin boyu diğerinin iki katı olacak."]},"beginTime":6,"endTime":159,"href":"/video/preview/17653750768891709678?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=6&ask_summarization=1"},{"index":1,"title":"Soru Çözme Problemi","list":{"type":"unordered","items":["Bir öğrenci her gün bir önceki günden 5 tane fazla soru çözüyor.","20 gün içinde toplam 1175 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Eğitmen, sınavda çıkmış soruları adım adım çözmektedir.","Videoda küme problemleri, fonksiyonlar, üç basamaklı sayılar, asal sayılar, basketbol maçındaki sayı problemleri, karton yerleştirme problemleri, yüzde hesaplamaları, hız problemi, çiçek sulama problemi ve olasılık problemi gibi çeşitli matematik konuları ele alınmaktadır. Eğitmen her soruyu detaylı bir şekilde açıklamakta ve pratik çözüm yöntemleri sunmaktadır.","Video, \"devamı gelecek\" ifadesiyle sona ermektedir ve KPSS sınavına hazırlanan öğrenciler için faydalı bir kaynak niteliğindedir."]},"endTime":1084,"title":"KPSS Matematik Soru Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"KPSS Küme Sorusu Çözümü","list":{"type":"unordered","items":["KPSS sınavında küme sorusu çözülüyor, kesişim ve fark işlemleri ile ilgili bir problem ele alınıyor.","Ağla, beynin, arp ve saz müzik aletleri arasındaki kesişim ve birleşim işlemleri inceleniyor.","Sonuç olarak, arp ve çello müzik aletlerinin birleşimi bulunuyor."]},"beginTime":5,"endTime":70,"href":"/video/preview/4685656852879126614?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=5&ask_summarization=1"},{"index":1,"title":"Fonksiyonlar Sorusu","list":{"type":"unordered","items":["Fonksiyonlar konusunda fog ve gof fonksiyonları birbirine eşit olduğu belirtiliyor.","f(x) = ax + 4 ve g(x) = 4x + 1 fonksiyonları kullanılarak fog ve gof hesaplanıyor.","fog = gof eşitliği çözülerek a = 13 değeri bulunuyor."]},"beginTime":70,"endTime":169,"href":"/video/preview/4685656852879126614?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=70&ask_summarization=1"},{"index":2,"title":"Üç Basamaklı Sayı Problemi","list":{"type":"unordered","items":["Rakamlarından biri 6 olan, diğer iki rakamı aynı olan üç basamaklı bir doğal sayı inceleniyor.","Sayının yüzler ve birler basamağı yer değiştirildiğinde değeri 198 azalıyor.","Sayının değerleri 644 veya 446 olarak bulunuyor ve toplamları 1090 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DGS'de çıkmış matematik sorularını çözmeye devam ediyoruz. Sınavda çıkan 30-42 arasındaki soruların benzerleri ve çözümleri videomda yer alıyor.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4034668/2a4671d3bac994c838ab5e93affb4ae5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VuLOHwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=videoid:7172202381815175507","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan DGS (Dikey Geçiş Sınavı) matematik sorularının çözümünü içeren eğitim içeriğidir.","Videoda eğitmen, DGS sınavından alınan çeşitli matematik sorularını adım adım çözmektedir. İçerik, dairesel pistte hareket eden araçlar, çubuk oyunu, sayı tablosu, boncuk süsleme, spor salonu programı, sınıf sıralaması, olasılık, fonksiyon problemleri, karışım problemleri ve bavulların tekerlek sayıları gibi farklı problem türlerini kapsamaktadır.","Her problem için eğitmen detaylı çözüm yöntemlerini göstermekte, farklı çözüm yollarını açıklamakta ve özellikle karışım probleminde kuruyemiş karışımı örneği üzerinden yüzde hesaplamaları ve denklem kurma tekniklerini kullanmaktadır."]},"endTime":1386,"title":"DGS Matematik Soruları Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dairesel Pist Hız Sorusu","list":{"type":"unordered","items":["Dairesel bir pistte başlangıç noktasından iki araç sabit hızlarla aynı yöne doğru hareket etmiş.","Bir araç diğerine göre beş tur fazla atmış ve aynı süre içinde hızlarının oranı 5:4'tür.","Pistteki bir tur 8 km olarak 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Eğitmen, öğrencilere DGS sınavında çıkabilecek matematik sorularını adım adım çözmektedir.","Videoda toplam 23 matematik problemi çözülmektedir. İlk bölümde 16. sorudan 22. soruya kadar mutlak değerli ifadeler, işlem soruları, bileşke fonksiyonlar, dizi soruları, şanslı sayılar ve kesirli paylar içeren problemler ele alınırken, ikinci bölümde terazi dengesi, bilgisayar kursu numaraları, kartların ortalaması, üniversite mezuniyet tarihleri, çalışma saatleri, market gazozları ve erik dağılımı gibi çeşitli konulardaki problemler çözülmektedir.","Her soru için eğitmen, çözüm yöntemini detaylı olarak açıklamakta ve gerekli hesaplamaları göstermektedir. Video, DGS sınavına hazırlanan öğrenciler için matematik problemlerinin nasıl çözüleceğini öğrenmek isteyenler için faydalı bir kaynaktır."]},"endTime":1414,"title":"DGS Matematik Soru Çözüm Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"DGS Matematik Soruları Çözümü","list":{"type":"unordered","items":["DGS sınavında mutlak değerli ifadeler ve sayılar hakkında bir soru çözülüyor.","Mutlak değerli ifade her zaman pozitif olduğundan, x pozitif, y ise negatif olarak belirleniyor.","x ve y'nin çarpımı sıfırdan küçük, x'i y'ye böldüğünde sonuç sıfırdan küçük olduğu için doğru cevaplar 1, 2 ve 3 olarak bulunuyor."]},"beginTime":2,"endTime":62,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=2&ask_summarization=1"},{"index":1,"title":"Kesirlerle İşlem Sorusu","list":{"type":"unordered","items":["Kesirlerle ilgili bir işlem sorusu çözülüyor.","İlk olarak a ve b'nin hangisinin büyük olduğu belirleniyor, sonra bu bilgiye göre işlem yapılıyor.","Sonuç olarak 6/7 bulunuyor."]},"beginTime":62,"endTime":147,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=62&ask_summarization=1"},{"index":2,"title":"Bileşke Fonksiyon Sorusu","list":{"type":"unordered","items":["Bileşke fonksiyon foklardan oluşan bir soru çözülüyor.","fok x ifadesinde f'in içinde x gördüğümüz yere gx'i yazarak işlem yapılıyor.","g(7) değeri 9 olarak bulunuyor."]},"beginTime":147,"endTime":228,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=147&ask_summarization=1"},{"index":3,"title":"Dizi Sorusu","list":{"type":"unordered","items":["Dizi sorusu çözülüyor ve son yıllarda sıkça sorulan bir tarz olduğu belirtiliyor.","Dizi terimleri hesaplanarak a₅/a₁ oranı 30 olarak bulunuyor.","Dizi sorularında genellikle terimleri yazıp birbirlerini götürerek soruyu bulma mantığı kullanılıyor."]},"beginTime":228,"endTime":392,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=228&ask_summarization=1"},{"index":4,"title":"Oranlarla İlgili Soru","list":{"type":"unordered","items":["Oranlarla ilgili bir soru çözülüyor.","a/b = 3/5 ve c/d = 3/5 olarak veriliyor.","m/k oranı 9 olarak bulunuyor ve toplamları 18 olarak hesaplanıyor."]},"beginTime":392,"endTime":511,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=392&ask_summarization=1"},{"index":5,"title":"Şanslı Sayılar Sorusu","list":{"type":"unordered","items":["Şanslı sayılar kavramı açıklanıyor: bir sayının rakamlarının toplamından elde edilen sayının rakamları toplamı, o sayının birler basamağındaki rakama eşitse şanslı sayıdır.","İki basamaklı en büyük şanslı sayı 99, en küçük şanslı sayı 91 olarak bulunuyor."]},"beginTime":511,"endTime":615,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=511&ask_summarization=1"},{"index":6,"title":"Pasta Paylaşımı Sorusu","list":{"type":"unordered","items":["Bir pasta eşit büyüklükteki Ali, Betül ve Can'a ikram ediliyor.","Ali ve Betül pastadaki dilim sayısının 1/3'ünü eşit sayıda paylaşıyor, Betül'den 3 dilim fazla alıyor.","Pastada ilk durumdaki dilim sayısının 2/5'i kadar dilim kalmış ve x değeri 1 olarak bulunuyor."]},"beginTime":615,"endTime":737,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=615&ask_summarization=1"},{"index":7,"title":"Eşit Kollu Terazi Problemi","list":{"type":"unordered","items":["Beş adet topun ağırlıkları kilogram türünden birbirinden farklı pozitif tam sayılar olup, toplamları yirmi kilogramdır.","Eşit kollu terazinin sol kefesine en hafif ve en ağır top, sağ kefesine kalan üç top konulduğunda dengede olmaktadır.","En ağır topun ağırlığı dokuz kilogramdır."]},"beginTime":743,"endTime":812,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=743&ask_summarization=1"},{"index":8,"title":"Bilgisayar Kursu Numarası Problemi","list":{"type":"unordered","items":["Bir bilgisayar kursuna kayıt yaptıran seksen öğrencinin her birine iki basamaklı birer numara verilmiştir.","Numaralardaki rakamların çarpımı tek sayı olanlar birinci şubede, çift sayı olanlar ikinci şubede kayıtlıdır.","İkinci şubeye kayıt yaptıran elliyedi öğrenci vardır ve numarasındaki rakamlarından biri tek diğeri çift olan kırküç öğrenci vardır."]},"beginTime":812,"endTime":928,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=812&ask_summarization=1"},{"index":9,"title":"Kart Ortalaması Problemi","list":{"type":"unordered","items":["A ve B kutularında bir'den on'a kadar tam sayılar birer kez kullanılarak numaralandırılmış on'ar adet kart vardır.","A kutusundan rastgele iki kart çekilip B kutusuna atıldığında, A kutusundaki kalan kartların ortalaması beşvirgülyetmişbeş'tir.","B kutusundaki kartların ortalaması dörtvirgülyetmişbeş'tir."]},"beginTime":928,"endTime":1036,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=928&ask_summarization=1"},{"index":10,"title":"Üniversite Mezuniyet Süresi Problemi","list":{"type":"unordered","items":["Tomris'in babası üniversiteye başlamadan dört yıl önce mezun olmuştur.","Annesi ise babası üniversiteye başladıktan ondört yıl sonra mezun olmuştur.","Annenin üniversiteye başlaması ile mezun olması arasında geçen süre beş yıldır."]},"beginTime":1036,"endTime":1162,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=1036&ask_summarization=1"},{"index":11,"title":"İş Saati Problemi","list":{"type":"unordered","items":["Bir kişi sabah saat sekiz buçukta iş yerine gelmiş ve onyedivirgülotuz da gitmiştir.","İş yerinde dokuz saat bulunmuş ve bu sürenin yüzde altmışında çalışmıştır.","Çalışarak geçirdiği zaman tüm günün yüzde yirmiiki buçuğudur."]},"beginTime":1162,"endTime":1251,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=1162&ask_summarization=1"},{"index":12,"title":"Gazoz Hediye Problemi","list":{"type":"unordered","items":["Bir markette gazoz üç liradır ve satın alınan her üç gazoz için bir gazoz hediye edilmektedir.","Bir kişi marketten kırkdokuz tane gazoz almıştır.","Toplamda otuzyedi gazoz almış ve gazozlar için ödediği toplam para yirmibir dokuzyüzonbir liradır."]},"beginTime":1251,"endTime":1338,"href":"/video/preview/14927573226336119402?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=1251&ask_summarization=1"},{"index":13,"title":"Erik Paylaşımı 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sayılarla ilgili karşınıza gelebilecek en zor soruların bulunduğu videomuzdur. TYT, AYT, KPSS, DGS, ALES sinavlarına hazırlanan öğrenciler videomu izleyebilir. 9. sinif okul sInavlarına...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3661409/9ae4e12c14373131832097dece4115b7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/nC24NAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=videoid:7906598699414780655","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersi formatındadır. Eğitmen, \"Daha Zoru Yok\" serisinin ilk bölümünü üslü sayılar konusunda zor sorular çözerek başlatmaktadır.","Videoda üslü sayılar konusunda dört farklı zor soru çözülmektedir. İlk soru, 64 sayısının bir tam sayının karesi, küpü ve altıncı kuvveti olduğu bilgisiyle başlayıp, bu sayının ikinci, üçüncü, dördüncü, beşinci, altıncı, yedinci, sekizinci, dokuzuncu ve onuncu kuvveti olarak yazılabilecek en küçük tam sayıyı bulmayı içerir. Diğer sorular da üslü ifadelerin özellikleri, sayı doğrusu ve faktöriyel gibi konuları içermektedir. Eğitmen, her soruyu adım adım çözerken çözüm yöntemlerini detaylı şekilde açıklamaktadır."]},"endTime":601,"title":"Üslü Sayılar Konulu Zor Matematik Soruları","beginTime":0}],"fullResult":[{"index":0,"title":"Daha Zoru Yok Serisi Tanıtımı","list":{"type":"unordered","items":["\"Daha Zoru Yok\" serisi, konuyla ilgili en zor soruları içeren bir dizi olacak.","Seri üslü sayılarla başlayacak ve sonraki konu izleyicilerin yorumlarına göre belirlenecek."]},"beginTime":0,"endTime":31,"href":"/video/preview/7906598699414780655?parent-reqid=1765324663985928-10151605798731821013-balancer-l7leveler-kubr-yp-vla-61-BAL&text=Hakan+Pi%C5%9Fkiner%27le+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"Üslü Sayılarla İlgili Zor Soru","list":{"type":"unordered","items":["64 sayısı bir tam sayının karesi, küpü ve altıncı kuvvetidir.","Bir tam sayının ikinci, üçüncü, dördüncü, beşinci, altıncı, yedinci, sekizinci, dokuzuncu ve onuncu kuvveti olarak yazılabilecek en küçük tam sayı 2²⁵²⁰ olarak 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