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Ey güzel arkadaşım 49 günde tyt matematiği birlikte bitiriyoruz. Bugün 49 Günde TYT Matematikte 2021 tayfa ile beraber 9.güne rasyonel sayılar a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/751962/4820682e170d6fa3773c10bf9b52a55c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VcI8IQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=videoid:14326841213424983353","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet Hoca tarafından sunulan bir TYT matematik dersidir. Öğretmen, öğrencilere rasyonel sayılar ve kesirler konusunu anlatmaktadır.","Videoda rasyonel sayıların tanımı, pay ve payda kavramları, kesir çeşitleri (basit kesir, bileşik kesir, tam sayılı kesir), kesirlerde işlemler (toplama, çıkarma, çarpma, bölme), işlem sırası ve mutlak değer gibi konular detaylı olarak ele alınmaktadır. Öğretmen, ÖSYM tarzı soruları çözerken adım adım çözüm yöntemlerini göstermekte ve farklı çözüm tekniklerini paylaşmaktadır.","Videoda ayrıca Gauss'un toplama tekniği, sayı doğrusu üzerinde rasyonel sayıların yerleştirilmesi ve şekil-sayı ilişkisi problemleri gibi konular da işlenmektedir. Öğretmen, öğrencilerin sık yaptığı hataları vurgulayarak mantıksal düşünme becerilerini geliştirmeye çalışmaktadır."]},"endTime":2618,"title":"TYT Matematik Dersi: Rasyonel Sayılar ve Kesirler","beginTime":0}],"fullResult":[{"index":0,"title":"Rasyonel Sayılar Konusuna Giriş","list":{"type":"unordered","items":["Mehmet hocanın TYT matematik dersinin 49. gününde rasyonel sayılar konusu ele alınacak.","Rasyonel sayılar konusu, önceki engebeli konulardan sonra daha kolay bir konu olarak tanımlanıyor.","Bu derste rasyonel sayılar konusu tamamlanacak ve yeni nesil sorular çözülecek."]},"beginTime":6,"endTime":84,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=6&ask_summarization=1"},{"index":1,"title":"Rasyonel Sayıların Tanımı","list":{"type":"unordered","items":["Rasyonel sayı, a/b şeklinde gösterilir ve a ile b tam sayı olmalı, b sıfırdan farklı olmalıdır.","Kesirde yukarıdaki sayıya 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sorulmaktadır."]},"beginTime":381,"endTime":500,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=381&ask_summarization=1"},{"index":5,"title":"Bileşik Kesir Problemi","list":{"type":"unordered","items":["Bileşik kesir probleminde, mutlak değerli ifadelerin paydadan büyük olması durumunda iki durum oluşur: mutlak değerli ifade paydadan büyük eşit veya paydadan küçük eşit olabilir.","Bileşik kesir probleminde x'in alabileceği en küçük pozitif tam sayı 8 olarak bulunmuştur."]},"beginTime":501,"endTime":609,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=501&ask_summarization=1"},{"index":6,"title":"Kesir Problemi Çözümü","list":{"type":"unordered","items":["Bir kesrin paydası payından üç fazla olduğunda, payda x+3 olarak kabul edilir.","Kesirde paydan iki çıkarılıp paydaya dört eklendiğinde değeri 1/4'e eşit olduğunda, x değeri 8 olarak hesaplanmıştır."]},"beginTime":609,"endTime":712,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=609&ask_summarization=1"},{"index":7,"title":"Tam Sayılı Kesir Problemi","list":{"type":"unordered","items":["Tam sayılı kesri bileşik kesre çevirirken, önce tam sayı ile payda çarpılıp paya eklenir.","Tam sayılı kesir bileşik kesre çevirirken eksi işaretini görmezden gelmek en çok yapılan hatalardan biridir.","Bileşik kesri tam sayıya çevirirken, pay payda ile bölünür ve kalan payda ile bölünür.","Bileşik kesri tam sayıya çevirirken, tam kısım ve kesir kısmı ayrı ayrı yazılır."]},"beginTime":712,"endTime":892,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=712&ask_summarization=1"},{"index":8,"title":"Matematik Problemleri Çözümü","list":{"type":"unordered","items":["Eksi a tam b ifadesinin cevabı eksi a artı b değil, önce işlem yapılır sonra eksi işareti eklenir.","9/a + a ifadesi bir bileşik kesirdir çünkü a'nın yerine 1 eklenince basit kesir olur.","İşlem sıralamasında önce bölme ve çarpma yapılır, sonra toplama veya çıkarma yapılır ve bu işlemler kendi arasında yer değiştirebilir."]},"beginTime":901,"endTime":1044,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=901&ask_summarization=1"},{"index":9,"title":"Kesir İşlemleri","list":{"type":"unordered","items":["Kesirlerde sadeleştirme yapılırken, payda sıfır olamaz.","Merdiven şeklindeki kesirlerde çözüm, en küçük yerden başlayarak yapılır.","Kesirlerde bölme işlemi yaparken, ikinci kesir ters çevrilip çarpma işlemine dönüştürülür."]},"beginTime":1044,"endTime":1233,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1044&ask_summarization=1"},{"index":10,"title":"Tanımsız Kesir Problemi","list":{"type":"unordered","items":["Kesir tanımsız yapan x değerlerinin çarpımı sorulduğunda, payda sıfır olan değerler bulunur.","Verilen kesirde x+1=0 denklemi çözülerek x=-1 değeri bulunur.","x değerlerinin çarpımı 2×(-1)=-2 olarak hesaplanır."]},"beginTime":1233,"endTime":1307,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1233&ask_summarization=1"},{"index":11,"title":"Matematik Problemlerinin Çözümü","list":{"type":"unordered","items":["Eğitmen, konuyu tam anlamıyla aktarmak için uzun süre devam etmeyi tercih ediyor.","İlk soruda, 2x+7/x+2 ifadesinin bir tam sayı olması durumunda x'in alabileceği değerler toplamı soruluyor.","Eğitmen, bölme işlemi yaparak ifadeyi 2 tam sayı + 3x+2 şeklinde sadeleştiriyor ve x'in 1, -1, -3 değerlerini buluyoruz."]},"beginTime":1309,"endTime":1552,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1309&ask_summarization=1"},{"index":12,"title":"Sonsuza Giden İfadelerin Çözümü","list":{"type":"unordered","items":["Eğitmen, sonsuza giden ifadelerde sadeleşme yönünü bulmayı gösteriyor.","Verilen ifadede çarpma ve bölme işlemleri yaparak sadeleştirme yapılıyor.","Sonuç olarak 10! / 11 ifadesi elde ediliyor."]},"beginTime":1552,"endTime":1668,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1552&ask_summarization=1"},{"index":13,"title":"ÖSYM Tip Sorularının Çözümü","list":{"type":"unordered","items":["Eğitmen, ÖSYM tip sorularını çözmeye başlıyor ve bunların çok kolay veya çok zor olmadığını belirtiyor.","Kalp metodu kullanarak a/b = 4/5 ve c/d = 3/10 ifadelerini sadeleştiriyor.","Tüm ifadeleri topladığında 11/10 elde ediyor ve sorunun sadece bu toplamı sorduğunu açıklıyor."]},"beginTime":1668,"endTime":1778,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1668&ask_summarization=1"},{"index":14,"title":"Sayı Doğrusu Problemi","list":{"type":"unordered","items":["Eğitmen, sayı doğrusunda 3 ile 5 arası eş parçalara bölünmüş bir problem sunuyor.","A ve B noktalarına karşılık gelen kesirlerin toplamını bulmak isteniyor.","Eğitmen, 1, 2, 3, 4, 5, 6, 7, 8, 9 sayılarını yazarak çözümü göstermeye başlıyor."]},"beginTime":1778,"endTime":1836,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1778&ask_summarization=1"},{"index":15,"title":"Gauss'un Toplama Tekniği","list":{"type":"unordered","items":["Gauss'un toplama tekniğinde, sayıların toplamları eşit olan grupların toplamı birbirine eşittir.","Örneğin, 2 ile 9'un toplamı 11, 3 ile 8'in toplamı 11, 4 ile 7'nin toplamı 11 ve 5 ile 6'nın toplamı 11'dir.","Bu teknikte, sayıların başlangıç ve bitiş değerlerine olan uzaklıkları eşit olan grupların toplamı birbirine eşittir."]},"beginTime":1853,"endTime":1940,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1853&ask_summarization=1"},{"index":16,"title":"Matematik Problemlerinin Çözümü","list":{"type":"unordered","items":["Matematik problemlerinde, sayıları birbirinden çıkarıp aradaki parça sayısını 7'ye bölmek ve sonucu 3 ile çarpmak gibi teknikler kullanılabilir.","Bazı matematik problemlerinde, ifadeleri a cinsinden yazmak için mantıksal işlemler uygulanabilir.","Örneğin, 1'den 5'i çıkarıp kalan sayıyı 2 ile çarparak 3/5 ifadesi elde edilebilir."]},"beginTime":1940,"endTime":2127,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=1940&ask_summarization=1"},{"index":17,"title":"Şekil-Sayı İlişkisi Problemi","list":{"type":"unordered","items":["ÖSYM sınavlarında şekil-sayı ilişkisi soruları son iki yıldır TYT'de sorulmaktadır.","Bu tür problemlerde, şekillerin değerleri hesaplanarak denklem kurulabilir.","Örneğin, üçgen, yuvarlak ve kare şeklindeki şekillerin değerleri hesaplanarak denklem çözülebilir."]},"beginTime":2127,"endTime":2192,"href":"/video/preview/14326841213424983353?parent-reqid=1765296013130341-18129575681634001702-balancer-l7leveler-kubr-yp-sas-47-BAL&text=SYIAR+NTB&t=2127&ask_summarization=1"},{"index":18,"title":"Rasyonel Sayılarla İşlemler","list":{"type":"unordered","items":["Öğretmen, bir rasyonel sayı probleminde işlem hatası yaparak 12-5=5 sonucunu bulduğunu ve sonra 1-1=0 olduğunu fark ettiğini gösteriyor.","Problemin doğru çözümü için 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