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Matematik 9.Sınıf Matematik Yeni Müfredat Konuları 1.Tema Sayılar Gerçek Sayıların Üslü Gösterimi 1 Üslü Sayının Tanımı Üslü Sayıların Gösterimi Üslü Sayılar Konu Anlatımı Üslü Sayılar Soru...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2295576/6304605de4524bb02818435985484569/564x318_1"},"target":"_self","position":"5","reqid":"1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=videoid:3183188314363314493","teaser":[{"list":{"type":"unordered","items":["Bu video, Mehmet Hoca ve \"Rehber Matematik Tayfa\" olarak kendini tanıtan bir matematik öğretmeninin 9. sınıf öğrencilerine üslü sayılar konusunu anlattığı eğitim içeriğidir.","Video, 2025 güncel müfredata uygun olarak üslü sayılar konusunu üç aşamalı bir yapıda ele almaktadır: mavi sayfalarda konu anlatımları, yeşil sayfalarda soru avcısı sayfaları ve derece testi. İçerikte doğal sayılar, pozitif ve negatif üslü ifadeler, pozitif sayıların tüm kuvvetlerinin pozitif olması, negatif sayıların çift kuvvetlerinde eksi işaretinin kalktığı ve tek kuvvetlerinde eksi işaretinin kaldığı gibi temel prensipler örneklerle açıklanmaktadır.","Videoda ayrıca özel işlemler tanımlaması, üslü ifadelerin değerlerini hesaplama ve her zaman doğru olan ifadeleri belirleme gibi farklı soru tipleri çözülmektedir. Video, üslü sayılar konusunun birinci adımının tamamlanmasıyla sona ererken, ikinci videoda tüm ayrıntıların, tanımların, kavramların ve ispatların anlatılacağı bilgisi verilmektedir."]},"endTime":1719,"title":"9. Sınıf Matematik Dersi: Üslü Sayılar","beginTime":0}],"fullResult":[{"index":0,"title":"9. Sınıf Matematik Derslerine Giriş","list":{"type":"unordered","items":["Mehmet hocanın 2025 güncel müfredata uygun 9. sınıf matematik dersleri başlıyor.","Dersler üç aşamadan oluşacak: mavi sayfalarda konu anlatımları, yeşil sayfalarda soru avcısı sayfaları ve üçüncü aşamada derece testleri.","Dersler ücretsiz yayınlanacak, PDF'ler ise RM Akademi katıl butonuna tıklayarak erişilebilecek."]},"beginTime":0,"endTime":117,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=0&ask_summarization=1"},{"index":1,"title":"Ders Yapısı ve Temalar","list":{"type":"unordered","items":["Eskiden ünite kavramı vardı, şimdi tema kavramı kullanılıyor ve toplam yedi tema olacak.","İlk tema \"Sayılar\" olup, gerçek sayıların üstü ve köklü gösterimleri ile yapılan işlemler alt başlıklarını içeriyor.","Üslü sayılar konusuna ilk adım olarak başlanacak."]},"beginTime":117,"endTime":251,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=117&ask_summarization=1"},{"index":2,"title":"Üslü Sayıların Tanımı","list":{"type":"unordered","items":["Üslü sayı, a'dan farklı bir gerçel sayı ve n'den pozitif bir tam sayı olmak üzere a üssü n ifadesine üslü gösterim adı verilir.","a üssü n ifadesinde a taban, n ise üs olarak adlandırılır ve a sayısının n tane yan yana çarpımı anlamına gelir.","5+5+5+5+5 ifadesi 5 üzeri 5 ile karıştırılmamalı, bu ifade 5×5×5×5×5 anlamına gelir."]},"beginTime":251,"endTime":333,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=251&ask_summarization=1"},{"index":3,"title":"Üslü Sayıların Özel Durumları","list":{"type":"unordered","items":["a'dan farklı olmak üzere a üssü 0, sıfır hariç bir sayının üstüne yazıldığında o sayı daima 1 kabul edilir.","Taban sıfır olduğunda üs herhangi bir sayı olursa, bu ifade matematikte tanımlanmamış ve belirsizlik durumudur.","Herhangi bir sayı (n sıfırdan farklı) üzeri 0, her zaman 1'e eşittir."]},"beginTime":333,"endTime":416,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=333&ask_summarization=1"},{"index":4,"title":"Üslü Sayılarla İlgili Örnek Sorular","list":{"type":"unordered","items":["3 üzeri 4 ifadesi 3×3×3×3 anlamına gelir ve sonucu 81'dir.","5×5 üzeri 5 ifadesi 5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×5×"]},"beginTime":416,"endTime":531,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=416&ask_summarization=1"},{"index":5,"title":"Doğal Sayılar ve Üslü İfadeler","list":{"type":"unordered","items":["Doğal sayılar sıfırdan başlayıp bir, iki, üç şeklinde artı sonsuza kadar giden sayılardır.","a ve b doğal sayı olmak üzere, a üzeri b = 81 olduğunda, bu koşulu sağlayan a+b toplamının alabileceği en küçük değer 7, en büyük değer 11'dir.","81'in farklı üslü ifadeleri 9² ve 3⁴'tür, bu değerlerin toplamı 89'dur."]},"beginTime":533,"endTime":632,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=533&ask_summarization=1"},{"index":6,"title":"Negatif Üsler","list":{"type":"unordered","items":["Bir ifadenin üstüne negatif bir üs yazıldığında, amaç sayıya takla attırmaktır.","a üzeri eksi n, 1 bölü a üzeri n anlamına gelir.","Örneğin, 3 üzeri eksi 2, 1 bölü 3 üzeri 2 demektir ve sonucu 1/9'dur."]},"beginTime":632,"endTime":679,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=632&ask_summarization=1"},{"index":7,"title":"Üslü Sayılar Kuralları","list":{"type":"unordered","items":["Pozitif sayıların tüm kuvvetleri pozitiftir, örneğin 3'ün herhangi bir kuvveti pozitiftir.","Negatif sayıların çift kuvveti alındığında içerideki eksi işareti kaybolur ve sonuç pozitif olur.","Negatif sayıların tek kuvveti alındığında içerideki eksi işareti korunur ve sonuç negatif olur."]},"beginTime":681,"endTime":766,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=681&ask_summarization=1"},{"index":8,"title":"Üslü Sayılar Örnekleri","list":{"type":"unordered","items":["(-3)⁴ ifadesinde üst çift sayı olduğu için eksi işareti kaybolur ve sonuç -81 olur.","(-5)⁴ ifadesinde üst çift sayı olduğu için eksi işareti kaybolur ve sonuç -625 olur.","(-2)⁴ ifadesinde üst çift sayı olduğu için eksi işareti kaybolur ve sonuç 16 olur."]},"beginTime":766,"endTime":872,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=766&ask_summarization=1"},{"index":9,"title":"Negatif Üslü Sayılar","list":{"type":"unordered","items":["4⁻² ifadesinde üst negatif olduğu için sayı ters çevrilir ve 2² = 16 olur.","(-5)⁻² ifadesinde üst negatif olduğu için sayı ters çevrilir ve 5² = 25 olur.","(-1/3)⁻⁴ ifadesinde üst negatif olduğu için sayı ters çevrilir ve 3⁴ = 81 olur."]},"beginTime":872,"endTime":980,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=872&ask_summarization=1"},{"index":10,"title":"Tanımsız İfadeler","list":{"type":"unordered","items":["0, 0'a bölünemez çünkü 0'ı elde etmek için çarpılacak sayı yoktur.","0, 0'a bölünemez ve bu durum matematikte tanımsızdır.","Tanımsız, bir şeyin tanımlanmamış olduğu anlamına gelir."]},"beginTime":980,"endTime":1014,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=980&ask_summarization=1"},{"index":11,"title":"Karmaşık Üslü Sayılar","list":{"type":"unordered","items":["2⁻² ifadesinde üst negatif olduğu için sayı ters çevrilir ve 1/2 olur.","(-3)⁻¹ ifadesinde üst negatif olduğu için sayı ters çevrilir ve -1/3 olur.","(-5)⁻¹ ifadesinde üst negatif olduğu için sayı ters çevrilir ve -1/5 olur."]},"beginTime":1014,"endTime":1141,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1014&ask_summarization=1"},{"index":12,"title":"Değişkenli Üslü Sayılar","list":{"type":"unordered","items":["a = 2 ve b = -3 olduğunda a⁻³ + b⁻² ifadesi hesaplanır.","Bir sayının üstüne üs yazıldığında parantezli yazmak zorunludur.","a⁻³ = 1/8 ve b⁻² = 1/9 olduğundan toplamları 1/8 + 1/9 = 1/72 olur."]},"beginTime":1141,"endTime":1236,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1141&ask_summarization=1"},{"index":13,"title":"Soru Avcısı Bölümü","list":{"type":"unordered","items":["Üslü sayıların birinci adım testi (soru avcısı testi) ile konu pekiştirilir.","(-2)² = 4, (-3)² = 9, (-1)² = 1 ve (-2)³ = -8 gibi temel üslü sayı değerleri kullanılır.","Üslü sayılarla ilgili basit işlemler hızlıca çözülür."]},"beginTime":1236,"endTime":1309,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1236&ask_summarization=1"},{"index":14,"title":"Üslü Sayılar Soruları","list":{"type":"unordered","items":["İlk soruda a-2b=2 eşitliği verilmiş ve (a-2)²+b² ifadesinin değeri sorulmuş, cevap 31/4 olarak bulunmuş.","İkinci soruda k⊕r=m şeklinde bir işlem tanımlanmış ve 9⊕5+3⊕2 işleminin sonucu 9 olarak hesaplanmış.","Üçüncü soruda abc tam sayı olmak üzere verilen bir simge tanımlanmış ve işlemin sonucu -17/12 olarak bulunmuş."]},"beginTime":1311,"endTime":1565,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1311&ask_summarization=1"},{"index":15,"title":"Özel Üslü Sayı Sorusu","list":{"type":"unordered","items":["Son soruda a bir tamsayı olmak üzere a¹=a, a⁻¹=1/a ve a⁻²=1/a² ifadelerinden hangilerinin her zaman doğrudur sorulmuş.","a⁻¹=1/a ifadesi her zaman doğrudur çünkü a⁻¹=1/a² ifadesi tanımsızdır.","Video, üslü sayılar konusunun birinci adımının sonuna gelmiş ve ikinci videoda tüm ayrıntılarıyla devam edileceği belirtilmiş."]},"beginTime":1565,"endTime":1698,"href":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1565&ask_summarization=1"}],"linkTemplate":"/video/preview/3183188314363314493?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Gerçek Sayıların Üslü Gösterimi 1 | 1.DERS 9.Sınıf Matematik | Yeni Müfredat 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Sana en yakın Tonguç Kitapçısı için 👉https://www.tongucmagaza.com/satisnok...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/961646/e38775b7996d6496920437b4c918704e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/acovUAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=videoid:13316025433897613970","teaser":[{"list":{"type":"unordered","items":["Bu video, Tonguç Akademi'de bir öğretmenin sunduğu İngilizce dil eğitimi dersidir. Öğretmen, \"Yurt Dışına Çıkıyoruz\" konusunu ele alarak İngilizce dilbilgisi konularını anlatmaktadır.","Video, üç ana bölümden oluşmaktadır: İlk bölümde yurt dışında eğitim almak ve çalışmak için gerekli İngilizce ifadeler (selamlamalar, tanışmalar, hal hatır sorma, vedalaşma) öğretilmektedir. İkinci bölümde present tense (geniş zaman) yapısı, olumlu, olumsuz ve soru formları detaylı olarak açıklanmaktadır. Son bölümde ise ülkeler, uyruklar ve meslekler hakkında temel bilgiler verilmekte ve örnek cümleler üzerinden konu pekiştirilmektedir.","Videoda ayrıca özne durumundaki zamirler (I, you, he, she, it, we, they), sahiplik sıfatları (my, your, our, their, his, her, its) ve \"be good at\" ifadesinin kullanımı gibi temel İngilizce dilbilgisi konuları da ele alınmaktadır. Öğretmen, teorik bilgilerin ardından alıştırmalarla konuyu pekiştirmekte ve öğrencilerin sık yaptığı hataları düzeltmektedir."]},"endTime":1930,"title":"İngilizce Dil Dersi: Yurt Dışında Eğitim ve Present Tense","beginTime":0}],"fullResult":[{"index":0,"title":"Dersin Konusu ve Katılımcılar","list":{"type":"unordered","items":["Dersin konusu \"The One Story Abroad\" (Yurt Dışında Eğitim Almak) olup, yurt dışında eğitim almak ve çalışmak anlamına gelebilir.","Dersin başlığı \"We Are Going to Learn Great Things and Meetings\" (Harika Şeyler ve Tanışmalar Öğreneceğiz) şeklinde belirtilmiştir.","Ders sırasında özne durumundaki zamirler, sahiplik sıfatları, ülkeler, uyruklar, diller ve meslek isimleri öğreneceğiz."]},"beginTime":3,"endTime":133,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=3&ask_summarization=1"},{"index":1,"title":"Tanışma İfadeleri","list":{"type":"unordered","items":["\"Hello\" ve \"Hi\" merhaba demek, \"Welcome to Tonguç Academy\" Tonguç Akademi'ye hoş geldiniz demek, \"Long time no see\" görüşmeyeli çok uzun zaman oldu anlamına gelir.","\"Good morning\" günaydın, \"Good afternoon\" iyi öğleden sonra, \"Good evening\" iyi akşamlar, \"Good night\" iyi geceler demektir.","\"Nice to meet you\", \"Pleased to meet you\" ve \"Glad to meet you\" ifadeleri \"tanıştığımıza memnun oldum\" anlamına gelir."]},"beginTime":133,"endTime":320,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=133&ask_summarization=1"},{"index":2,"title":"Konuşma İfadeleri","list":{"type":"unordered","items":["\"How are you\" nasılsın, \"How are you doing\" nasıl gidiyor, \"How is it going\" nasıl durum, \"How do you do\" tanıştığımıza memnun oldum anlamında kullanılabilir.","\"Have a nice day\" iyi günler, \"Have a nice weekend\" güzel bir hafta sonu, \"Have a nice holiday\" iyi tatiller dileğiyle vedalaşılır.","\"Goodbye\", \"Bye bye\", \"See you\" görüşmek üzere demektir."]},"beginTime":320,"endTime":463,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=320&ask_summarization=1"},{"index":3,"title":"Özne Durumundaki Zamirler ve Sahiplik Sıfatları","list":{"type":"unordered","items":["Özne durumundaki zamirler: I (ben), you (sen/siz), we (biz), they (onlar), he (o), she (o), it (o) şeklindedir.","Sahiplik sıfatları: my (benim), your (senin/sizin), our (bizim), their (onların), his (onun), her (onun), its (onun) şeklindedir.","Sahiplik sıfatları bir nesnenin kime ait olduğunu gösterir, örneğin \"my car\" benim arabam demektir."]},"beginTime":463,"endTime":630,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=463&ask_summarization=1"},{"index":4,"title":"Present Tense ve Be Fiilleri","list":{"type":"unordered","items":["Present tense geniş zamandır ve geniş zamanda \"be\" fiilleri (am, is, are, olmak) kullanılır.","\"Be\" fiilleri ile tanım cümleleri oluşturulur ve \"present\" formatı şu anda olup bitenleri gösterir.","Özne \"he, she, it\" ile kullanıldığında \"is\" fiili, \"I, you, we, they\" ile kullanıldığında \"am\" veya \"are\" fiili kullanılır."]},"beginTime":636,"endTime":873,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=636&ask_summarization=1"},{"index":5,"title":"Kısaltmalar ve Olumsuz Cümleler","list":{"type":"unordered","items":["Olumsuz cümlelerde \"am not, is not, are not\" şeklinde olumsuzluk eklenir ve kısaltmaları \"I'm not, he isn't, they aren't\" şeklindedir.","\"Amont\" gibi bir kısaltma yoktur, sadece \"isn't\" ve \"aren't\" kısaltmaları vardır.","Olumsuz cümlelerde özneyi aldıktan sonra sondan başa doğru çeviri yapılmalıdır."]},"beginTime":873,"endTime":1069,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=873&ask_summarization=1"},{"index":6,"title":"Soru Cümleleri","list":{"type":"unordered","items":["Soru oluşturmak için \"be\" fiilinin öznenin sol tarafına alınması yeterlidir.","\"Yes/No\" soruları \"be\" fiilinin başta olduğu sorulardır.","\"Wh\" soruları \"what, when, who\" gibi kelimelerle başlayan sorulardır."]},"beginTime":1069,"endTime":1228,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1069&ask_summarization=1"},{"index":7,"title":"İngilizce Gramer Eğitimi","list":{"type":"unordered","items":["Present tense ve emar formatında fiil kullanımına odaklanılıyor.","Tekil ve çoğul fiil kullanımındaki farklar vurgulanıyor.","\"And\" bağlacının iki tekil ismi birleştirerek çoğul haline getirdiği belirtiliyor."]},"beginTime":1235,"endTime":1295,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1235&ask_summarization=1"},{"index":8,"title":"Fiil Kullanımında Örnekler","list":{"type":"unordered","items":["Polis kelimesinde \"polis\" tekil, \"polices\" çoğul olarak kullanılıyor.","\"I am an engineer\" cümlesinde \"engineer\" kelimesi e ünlüsü olduğu için \"an\" kullanılıyor.","\"Jim and I\" cümlesinde \"I\" küçük harfle yazılması gerektiği vurgulanıyor."]},"beginTime":1295,"endTime":1471,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1295&ask_summarization=1"},{"index":9,"title":"Cümle Düzenleme Alıştırmaları","list":{"type":"unordered","items":["Karışık kelimelerden anlamlı cümleler oluşturmak için \"wh\" soru kelimelerinin cümle başı olma özelliği vurgulanıyor.","Soru cümlelerinde öznenin fiilin arkasına gelmesi gerektiği gösteriliyor.","\"How old is your sister?\" gibi yaş sorularında \"how old\" ifadesinin kullanılması anlatılıyor."]},"beginTime":1471,"endTime":1701,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1471&ask_summarization=1"},{"index":10,"title":"Ülkeler, Uyruklar ve Diller","list":{"type":"unordered","items":["Ülkeler, uyruklar ve diller arasındaki ilişkiler açıklanıyor.","\"I'm from Sydney\" ve \"I'm Australian\" gibi cümlelerle ülke ve uyruk kullanımındaki farklar gösteriliyor.","Türkiye, İngiltere, Fransa, İtalya, Almanya, Rusya, İspanya, Japonya ve Çin gibi ülkelerin isimleri ve uyrukları anlatılıyor."]},"beginTime":1701,"endTime":1812,"href":"/video/preview/13316025433897613970?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1701&ask_summarization=1"},{"index":11,"title":"Meslek İsimleri","list":{"type":"unordered","items":["Meslek isimleri (job, occupation) öğretiliyor.","Teacher, lawyer, doctor, dentist, chemist, scientist, journalist, waiter, waitress, fashion designer, musician, tailor, taxi driver, engineer, architect, actor, actress, officer, instructor gibi meslekler ve karşılıkları anlatılıyor.","Dersin sonunda öğretilen konular (selamlama, tanışma, özne durumundaki zamirler, sahiplik sıfatları, ülkeler, uyruklar, diller ve meslekler) 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Öğretmen, Tonguç'un mevsimsel bir rahatsızlık nedeniyle yerine geçtiğini belirtmektedir.","Video, mantık konusunu kapsamlı şekilde ele almaktadır. İlk olarak koşullu önermeler, önermenin karşıtı, tersi, karşıt tersi ve iki yönlü koşullu önermeler anlatılmakta, ardından bileşik önermeler, açık önermeler ve niceleyiciler (her, bazı) konuları örneklerle açıklanmaktadır. Ders boyunca öğretmen, konuları pekiştirmek için çeşitli örnekler çözmekte ve öğrencilerin yorumlarını yanıtlamaktadır.","Dersin sonunda öğretmen, öğrencilere ödev vererek konuyu pekiştirmelerini istemekte ve bir sonraki derste kümeler konusunu işleyeceğini belirtmektedir. Ayrıca \"ise\" bağlacının \"veya\" bağlacıyla ilişkisi, büyük eşit ve küçük eşit bağlaçlarının tersleri gibi detaylar da videoda ele alınmaktadır."]},"endTime":2350,"title":"9. Sınıf Matematik Dersi: Mantık Konusu","beginTime":0}],"fullResult":[{"index":0,"title":"9. 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ve ancak q önermesine iki yönlü koşullu önerme denir.","İki yönlü koşullu önermede, p ise q ve q ise p önermeleri birlikte geçerlidir.","İki yönlü koşullu önermede p ancak ve ancak q ile p'nin değili ancak ve ancak q'nun değili birbirine denktir."]},"beginTime":860,"endTime":1039,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=860&ask_summarization=1"},{"index":6,"title":"Matematik Öğrenme Tavsiyeleri","list":{"type":"unordered","items":["Koşullu önermeler konusundan korkulmamalı, ezberlenmeyip mantığa oturtulmalı ve bol soru çözülmelidir.","Matematikten korkulacak hiçbir şey yok, sadece bol soru çözülmesi gerekiyor.","Doğruluk değeri bir olan p ancak ve ancak q önermesine çift gerektirme denir."]},"beginTime":1039,"endTime":1101,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1039&ask_summarization=1"},{"index":7,"title":"Bileşik Önermeler Sorusu","list":{"type":"unordered","items":["Örnek soruda \"veya\" bağlacıyla bağlanan önermelerin çözümü gösteriliyor.","\"İse\" bağlacının kullanımı ve \"ancak ve ancak\" bağlacının işlevi açıklanıyor.","Sorunun çözümünde doğru cevabı veren öğrenciler tebrik ediliyor."]},"beginTime":1105,"endTime":1293,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1105&ask_summarization=1"},{"index":8,"title":"Açık Önermeler","list":{"type":"unordered","items":["İçinde en az bir değişken bulunan ve değişkenlere verilen değerlere göre doğru ya da yanlış olan önermelere açık önerme denir.","Açık önermelerde doğrulayan elemanların kümesine doğruluk kümesi denir.","İçinde x değişkeni bulunduran açık önermeler P(x), Q(x), R(x) biçiminde gösterilir."]},"beginTime":1293,"endTime":1370,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1293&ask_summarization=1"},{"index":9,"title":"Doğruluk Kümesi Örneği","list":{"type":"unordered","items":["P(x) önermesi: 1 ≤ x² \u003c 30 ve x ≥ 1 olan doğal sayılar şeklinde tanımlanıyor.","x yerine farklı değerler koyularak önermenin doğruluğu kontrol ediliyor.","Doğruluk kümesi: {1, 2, 3, 4, 5} olarak bulunuyor."]},"beginTime":1370,"endTime":1547,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1370&ask_summarization=1"},{"index":10,"title":"Niceleyiciler","list":{"type":"unordered","items":["Niceleyiciler, önermelerde genel bir tanım yapmak için kullanılan ifadelerdir.","Evrensel niceleyici \"her\" anlamına gelir ve ters A (∀) ile gösterilir.","Varlıksal niceleyici \"bazı\" anlamına gelir ve ters E (∃) ile gösterilir."]},"beginTime":1547,"endTime":1659,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1547&ask_summarization=1"},{"index":11,"title":"Matematiksel Önermeler ve Değil İşlemi","list":{"type":"unordered","items":["Her tam sayının karesi sıfırdan büyük olduğu iddiası yanlıştır çünkü sıfırın karesi sıfırdır.","Bazı doğal sayıların bir eksiği beşten küçük veya eşit olduğu önermesi, \"bazı x doğal sayıları için x-1 ≤ 5\" şeklinde ifade edilir.","\"Her\" kelimesinin değili \"bazı\" kelimesidir ve önermenin değili alındığında, önermenin karşıtı alınır."]},"beginTime":1667,"endTime":1902,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1667&ask_summarization=1"},{"index":12,"title":"Koşullu Önermeler ve Değil İşlemi","list":{"type":"unordered","items":["\"P ise Q\" şeklindeki koşullu önermenin değili, \"P ve Q'nin değili\" şeklinde yazılır.","Büyük eşit işareti (≥) tersi küçüktür işareti (\u003c) olur, küçük eşit işareti (≤) tersi büyüktür işareti (>) olur."]},"beginTime":1902,"endTime":2030,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=1902&ask_summarization=1"},{"index":13,"title":"Aksiyom ve Teorem Kavramları","list":{"type":"unordered","items":["Aksiyom, doğruluğu ispatsız olarak kabul edilen önermelerdir.","Teorem, doğruluğu ispatlanması gereken önermelerdir.","\"P ise Q\" şeklindeki bir teoreminde, P hipotez, Q ise hüküm olarak adlandırılır."]},"beginTime":2030,"endTime":2235,"href":"/video/preview/2728507297138579?parent-reqid=1769644453583602-13831921203340052154-balancer-l7leveler-kubr-yp-sas-18-BAL&text=9AXEE&t=2030&ask_summarization=1"},{"index":14,"title":"Ödev kontrolü ve konu 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