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SML Hoca, \"Bir Konu Bir Soru\" serisinin bir parçası olarak parabol konusundaki bir soruyu çözmektedir.","Videoda, m'nin 0 ile 1,5 aralığında bir reel sayı olduğu ve f(x) = mx + x fonksiyonunun ikinci dereceden olduğu bir parabol sorusu ele alınmaktadır. Soru, parabolün tepe noktasının üçüncü bölgede olması, köklerinin birbirinin çarpımsal tersi olması ve x eksenini kesmemesi gibi üç ifadenin doğruluğunu sorgulamaktadır. SML Hoca, her bir ifadeyi ayrı ayrı inceleyerek doğru cevabı (1 ve 2) açıklamaktadır."]},"endTime":333,"title":"Parabol Konusu Soru Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Parabol Sorusu Tanıtımı","list":{"type":"unordered","items":["SML Hoca matematik kanalında bir konu bir soru serisine kaldığı yerden devam ediyor.","Video, m'nin 0 ile 1/2 aralığında bir reel sayı olduğu ve f(x) = mx² + x fonksiyonunun ikinci dereceden olduğu bir parabol sorusunu çözecek.","Soruda üç ifade verilmiş ve hangilerinin doğrudur soruluyor."]},"beginTime":10,"endTime":67,"href":"/video/preview/1173319975414390507?parent-reqid=1768955082377225-1571506257839405829-balancer-l7leveler-kubr-yp-sas-124-BAL&text=1%25+-+Topic&t=10&ask_summarization=1"},{"index":1,"title":"Köklerin Özellikleri","list":{"type":"unordered","items":["Köklerin birbirinin çarpımsal tersi olduğu iddia ediliyor ve kökler çarpımı x₁x₂ = c/a formülüyle hesaplanıyor.","f(x) fonksiyonunda c = m ve a = m olduğundan, kökler çarpımı 1 olarak bulunuyor.","Köklerin birbirinin çarpımsal tersi olduğu doğrulanıyor."]},"beginTime":67,"endTime":116,"href":"/video/preview/1173319975414390507?parent-reqid=1768955082377225-1571506257839405829-balancer-l7leveler-kubr-yp-sas-124-BAL&text=1%25+-+Topic&t=67&ask_summarization=1"},{"index":2,"title":"Delta Değerinin Analizi","list":{"type":"unordered","items":["Parabolün x eksenini kesip kesmediğini anlamak için delta değeri (Δ) hesaplanıyor: Δ = b² - 4ac.","f(x) fonksiyonunda b = 1, a = m ve c = m olduğundan, Δ = 1 - 4m² olarak bulunuyor.","m'nin 0,5 aralığında olduğu bilgisiyle, 0,5 \u003c m \u003c 1 eşitsizliği çözülerek 0,00 \u003c m² \u003c 0,25 bulunuyor.","0,25 \u003c 4m² \u003c 1 eşitsizliği çözülerek -1 \u003c 4m² \u003c 1 bulunuyor, bu da 1 - 4m² \u003c 1 eşitsizliğini doğruluyor.","1 - 4m² değeri 0,25 ile 1 arasında olduğundan pozitif olduğu için Δ pozitif oluyor.","Δ pozitif olduğunda parabol x eksenini birbirinden farklı iki noktada kesiyor, bu da \"x eksenini kesmez\" ifadesinin yanlış olduğunu gösteriyor."]},"beginTime":116,"endTime":227,"href":"/video/preview/1173319975414390507?parent-reqid=1768955082377225-1571506257839405829-balancer-l7leveler-kubr-yp-sas-124-BAL&text=1%25+-+Topic&t=116&ask_summarization=1"},{"index":3,"title":"Tepe Noktasının Konumu","list":{"type":"unordered","items":["Tepe noktasının apsisi (r) -b/2a formülüyle hesaplanıyor: r = -1/2m.","m pozitif olduğundan, -1/2m değeri negatif oluyor.","Parabolün baş katsayısı pozitif olduğundan, kolları yukarı doğru oluyor ve tepe noktası üçüncü bölgede bulunuyor.","Doğru cevaplar 1 ve 2 olarak belirleniyor."]},"beginTime":227,"endTime":319,"href":"/video/preview/1173319975414390507?parent-reqid=1768955082377225-1571506257839405829-balancer-l7leveler-kubr-yp-sas-124-BAL&text=1%25+-+Topic&t=227&ask_summarization=1"}],"linkTemplate":"/video/preview/1173319975414390507?parent-reqid=1768955082377225-1571506257839405829-balancer-l7leveler-kubr-yp-sas-124-BAL&text=1%25+-+Topic&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"1 Topic 1 Question | Parabola Question with Premise | TYT - AYT","related_orig_text":"1% - Topic","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"1% - 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thêm bài khác tại đây: https://bit.ly/3adBSUf Questions 1. Can you tell me something about your family? 2. Where do your family live? 3. Who are you close to in your family? 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