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Sınıf Matematik - Bileşik Önerme | 2022 0:00 Videoda Neler Var? 0:20 Bileşik Önermeler Hocalara Geldik Web Sitesi : http://hocalarageldik.com/ Kitap ve ürünler için...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3242830/52032391e602bbe9b5bcafc4047362f2/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BTQmPwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=videoid:3578075587029493790","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin mantık konusunu anlattığı eğitim içeriğidir. Öğretmen, Nagehan Hanım ve diğer öğrencilerle etkileşim halindedir.","Video, mantıkta bileşik önermeler ve bağlaçlar konusunu kapsamlı şekilde ele almaktadır. Öncelikle \"ve\" ve \"veya\" bağlaçlarının özellikleri, doğruluk değerleri ve dağılma özellikleri açıklanmakta, ardından koşullu önermeler (ise bağlacı), \"ancak ve ancak\" bağlacı ve De Morgan kuralları incelenmektedir. Her bağlaç için sayısal örnekler ve günlük hayattan örnekler kullanılarak konu somutlaştırılmaktadır.","Öğretmen, öğrencilerin ezberlemek yerine düşünmelerini teşvik etmekte ve sınavlarda çıkabilecek örnekler üzerinden konuyu pekiştirmektedir. Ayrıca, bağlaçların doğruluk değerlerini hesaplama yöntemleri ve önermelerin en sade halini yazma teknikleri de videoda gösterilmektedir."]},"endTime":2526,"title":"Mantık Dersi: Bileşik Önermeler ve Bağlaçlar","beginTime":0}],"fullResult":[{"index":0,"title":"Mantık Konusuna Giriş","list":{"type":"unordered","items":["Mantık konusuna devam ediliyor ve önceki videolarda önermeler öğrenilmiş.","Bu videoda bileşik önermeler, \"ve\", \"veya\", \"ya da\", \"ise\", \"ancak ve ancak\" bağlaçları ele alınacak."]},"beginTime":0,"endTime":19,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=0&ask_summarization=1"},{"index":1,"title":"\"Ve\" Bağlacının Özellikleri","list":{"type":"unordered","items":["\"Ve\" bağlacı, iki önermenin aynı anda doğru olması durumunda doğru, diğer durumlarda yanlış olan bileşik önermeleri oluşturur.","\"Ve\" bağlacının tek kuvvet özelliği vardır: PVP=P, yani birinci önermenin değeri bileşik önermenin değerini belirler.","\"Ve\" bağlacının değişme ve birleşme özellikleri vardır."]},"beginTime":19,"endTime":263,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=19&ask_summarization=1"},{"index":2,"title":"\"Ve\" Bağlacının Uygulamaları","list":{"type":"unordered","items":["\"Ve\" bağlacında işlem yaparken önce parantez içindeki işlemleri yapmak gerekir.","PVP=0 olduğunda, PVP=1 olduğunda P'nin değeri bileşik önermenin değerini belirler.","\"Ve\" bağlacında baskın olan değer sıfırdır, bir lüzumsuzdur."]},"beginTime":263,"endTime":372,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=263&ask_summarization=1"},{"index":3,"title":"\"Veya\" Bağlacının Özellikleri","list":{"type":"unordered","items":["\"Veya\" bağlacı, iki önermeden birinin bile doğru olması durumunda doğru olan bileşik önermeleri oluşturur.","\"Veya\" bağlacının tek kuvvet, değişme ve birleşme özellikleri vardır.","\"Veya\" bağlacında baskın olan değer birdir, sıfır lüzumsuzdur."]},"beginTime":372,"endTime":678,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=372&ask_summarization=1"},{"index":4,"title":"Dağılma Özelliği","list":{"type":"unordered","items":["Dağılma özelliği, \"ve\" ve \"veya\" bağlaçlarının birlikte kullanılmasında önemlidir.","Çarpmanın toplama üzerine dağılma özelliği vardır, ancak toplamanın çarpma üzerine dağılma özelliği yoktur."]},"beginTime":678,"endTime":695,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=678&ask_summarization=1"},{"index":5,"title":"Mantık Bağlaçlarının Dağılma Özellikleri","list":{"type":"unordered","items":["Veyanın 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bağlacında bir ya da sıfır kabul edilir, ancak hem bir hem de sıfır kabul edilmez.","\"Ya da\" bağlacı da değişme ve birleşme özelliklerine sahiptir, ancak tek kuvvet özelliği yoktur."]},"beginTime":1043,"endTime":1196,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=1043&ask_summarization=1"},{"index":9,"title":"Mantıksal Bağlaçlar ve Özellikleri","list":{"type":"unordered","items":["Mantıksal önermelerde \"ya da\" bağlacı, bir veya ikisinin biri doğru olduğunda sonuç bir olur.","\"Ve\" bağlacında her iki önermenin de bir olması gerekir, aksi takdirde sonuç sıfırdır.","\"İse\" bağlacı (koşullu önerme) sadece birinci önerme doğru ve ikinci önerme yanlış olduğunda sıfır değerini alır, diğer durumlarda bir değerini 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değerinde olduğu için.","p ve p üssü bir ise q bir üssü ve bir ise bir önermesi sıfır değerini alır çünkü \"ve\" bağlacında her iki önermenin de bir olması gerekir.","p ise bir önermesi her zaman bir değerini alır çünkü \"ise\" bağlacında ikinci önerme bir olduğunda sonuç her zaman bir olur."]},"beginTime":1592,"endTime":1835,"href":"/video/preview/3578075587029493790?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=1592&ask_summarization=1"},{"index":12,"title":"Koşullu Önerme ve Karşıtı, Tersi, Karşıt Tersi","list":{"type":"unordered","items":["Koşullu önerme, bağlacının diğer bir adıdır ve özel bir durumu vardır.","Koşullu önermede karşıtı, tersi ve karşıt tersi ifadeleri kullanılır.","\"p ise q\" önermesinin karşıtı \"q ise p\", tersi \"p değil ise q değil\", karşıt tersi ise \"q değil ise p değil\" olarak ifade 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Matematik 👉 https://bit.ly/3booI8B Akıl Notları 👉 https://bit.ly/3pBJv0I evokul Eylül Programı 👉https://bit.ly/32X1SBz Ödevlerdeki kitaplar için👉https://www.tongucmagaza.com/tongucma...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3926583/a6b16760b894a75d5d2456abfc0b1450/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/WcrFQgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=videoid:2728507297138579","teaser":[{"list":{"type":"unordered","items":["Bu video, Tonguç Akademi platformunda bir matematik öğretmeninin 9. sınıf öğrencilerine uzaktan eğitim formatında sunduğu ders içeriğidir. 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. Sınıf Matematik Dersi Konusu","list":{"type":"unordered","items":["9. sınıf matematik dersinde koşullu önerme, her ve bazı nicelere dair konu anlatımı yapılacak.","Uzaktan eğitim devam ediyor ve dersin içeriği koşullu önerme, özellikler, karşıtı, tersi, karşıt tersi, iki yönlü koşullu önerme, açık önerme, her ve bazı nicelere dair kavramlar ve temel kavramlar olacak."]},"beginTime":5,"endTime":78,"href":"/video/preview/2728507297138579?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=5&ask_summarization=1"},{"index":1,"title":"Koşullu Önerme","list":{"type":"unordered","items":["Koşullu önerme, iki önermenin ise bağlacı (ok) ile bağlanmasından oluşan bileşik önermedir.","Koşullu önermenin doğruluk değerleri için \"yüz kuralı\" vardır: Eğer bir önerme 0 ise, cevap 0 olur; diğer durumlarda cevap 1'dir.","Koşullu önermenin doğruluk değeri 1 olanlarına \"gerektirme\" denir."]},"beginTime":78,"endTime":388,"href":"/video/preview/2728507297138579?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=78&ask_summarization=1"},{"index":2,"title":"Koşullu Önermenin Özellikleri","list":{"type":"unordered","items":["\"p ise q\" koşullu önermesi, \"p'nin değili veya q\" şeklinde de ifade edilebilir.","Bu denklik, koşullu önermenin mantıksal yapılarını anlamak için önemli bir kuraldır."]},"beginTime":388,"endTime":533,"href":"/video/preview/2728507297138579?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=388&ask_summarization=1"},{"index":3,"title":"Koşullu Önermelerin Karşıtı, Tersi ve Karşı Tersi","list":{"type":"unordered","items":["Tonguç'un mevsim değişikliği nedeniyle rahatsızlığı var, bu yüzden dersi başka bir eğitmen veriyor.","p ise q önermesinin en sade halini bulmak için yer değiştirme, birleşme ve parantezi kaydırma kuralları kullanılıyor.","p ise q önermesinin karşıtı q ise p, tersi p'nin değili ise q'nun değili, karşı tersi ise q ise p olur."]},"beginTime":534,"endTime":685,"href":"/video/preview/2728507297138579?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=534&ask_summarization=1"},{"index":4,"title":"Karşıt ve Tersi Kavramlarının Farkı","list":{"type":"unordered","items":["Karşıt ve tersi kavramları karıştırılmamalı, karşıt karşıya geçerken tersi ise değilini alır.","Bir önerme ile karşı tersi birbirine denktir.","Örnek olarak \"x-2 ise x²=4\" önermesinin karşıtı, tersi ve karşı tersi hesaplanıyor."]},"beginTime":685,"endTime":860,"href":"/video/preview/2728507297138579?parent-reqid=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&t=685&ask_summarization=1"},{"index":5,"title":"İki Yönlü Koşullu Önermeler","list":{"type":"unordered","items":["p ve q önermeleri \"ancak ve ancak\" ifadesiyle birleştirildiğinde elde edilen p ancak 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=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&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=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&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=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&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=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&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=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&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=1769528176188550-3553106547420469802-balancer-l7leveler-kubr-yp-vla-75-BAL&text=severstyler09&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 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