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Öğretmen, dünya haritası kullanarak konuyu görsel olarak açıklamaktadır.","Video, \"Dünyanın Şekli ve Sonuçları\" konusunu kapsamlı şekilde ele almaktadır. İlk olarak dünyanın geoit şekli (kutuplardan basık, ekvatordan şişkin) ve bunun kanıtları anlatılmakta, ardından dünyanın şeklinin sonuçları (güneş ışınlarının yere düşme açısı, sıcaklık değerleri, deniz tuzluluğu, kalıcı kar alt sınırı, yerleşme üst sınırı vb.) incelenmektedir. Son bölümde ise ekvatordan kutba doğru gidildikçe yaşanan değişimler ve konu anlatımı sonunda öğrencilere verilen ödevler açıklanmaktadır.","Video, interaktif aktiviteler ve örnek sorularla desteklenmekte, öğrencilerin haritaları kullanarak Grönland ve Afrika kıtasının yüzölçümlerini karşılaştırmaları gibi pratik uygulamalar içermektedir. Ayrıca, \"9. Sınıf Dinamo Coğrafya Soru Bankası\" ve \"9'a Coğrafya Konu Anlatımlı Soru Bankası\" kaynaklarından ödevler verilmektedir."]},"endTime":1689,"title":"9. 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ekvator çevresi 40.076 kilometre iken, 30 derece paralelinin uzunluğu 34.700 kilometredir.","Dünya kendi ekseni etrafındaki tam turunu batıdan doğuya doğru 24 saatte tamamlar ve bu hareket çizgisel hız oluşturur; ekvatordan kutuplara doğru gidildikçe çizgisel hız azalır.","Çizgisel hızın azalması, güneşin batış ve doğuş süresinin uzamasına, alacakaranlık süresinin kutuplara doğru uzamasına sebep olur."]},"beginTime":551,"endTime":667,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=551&ask_summarization=1"},{"index":5,"title":"Meridyenler ve Harita Çizimleri","list":{"type":"unordered","items":["Meridyenler arasındaki mesafe ekvatordan kutuplara doğru gidildikçe kısalır, bu da dünyanın küresel şeklinin bir sonucudur.","Dünya haritasında Afrika kıtası, Grönland'a göre yaklaşık 15-6 kat daha büyük olmasına rağmen, haritada bu büyüklük farkı doğru gösterilmez.","Ekvatordan kutuplara doğru gidildikçe küresellikten dolayı harita çizimlerinde bozulmalar artar, bu nedenle alanları doğru çizebilmek için projeksiyon yöntemleri geliştirilir."]},"beginTime":667,"endTime":802,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=667&ask_summarization=1"},{"index":6,"title":"Aydınlanma Çemberi ve Kutup Yıldızı","list":{"type":"unordered","items":["Gece ve gündüzü ayıran sınıra aydınlanma çemberi denir ve dünyayı iki eşit parçaya böler; yerden yükseldikçe görebileceğimiz alanda genişler.","Kutup yıldızı (Polaris) sadece kuzey yarım kürede görülebilir ve görüş açımız ekvatordan kutuplara doğru gidildikçe artar.","Kutup yıldızını gördüğümüz açı, kuzey yarım küredeki enlem derecesini verir; örneğin 30 derecelik açıyla görüldüğünde 30 derece enlemi üzerindeyiz."]},"beginTime":802,"endTime":884,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=802&ask_summarization=1"},{"index":7,"title":"Basınç ve Hava Hareketleri","list":{"type":"unordered","items":["Güneş ışınlarının ekvatora daha dik, kutuplara ise daha iyi açıyla gelmesi nedeniyle sıcaklık kutba doğru azalır.","Ekvatorda ısınan hava kütlesi genleşecek, hafifleyecek ve yükselecektir; kutuplarda ise soğukluktan dolayı hava kütlesi sıklaşacak, ağırlaşacak ve alçalacaktır.","Ekvatorda termik kökenli alçak basınç, kutuplarda ise termik kökenli yüksek basınç oluşur; alçak basınç alanlarında hava kapalı ve yağışlıdır, yüksek basınç alanlarında ise hava açıktır."]},"beginTime":884,"endTime":1029,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=884&ask_summarization=1"},{"index":8,"title":"Ekvatordan Kutba Doğru Değişimler","list":{"type":"unordered","items":["Ekvatora güneş ışınları daha dik açıyla, kutuplara ise daha eğik açıyla gelir.","Daimi kar sınırı (kalıcı kar alt sınırı) ekvatordan kutuplara doğru azalır.","Denizlerin tuzluluk oranı, buharlaşma miktarı, güneş ışınlarının yere düşme açısı, sıcaklık değerleri ve çizgisel hız ekvatordan kutuplara doğru azalır."]},"beginTime":1030,"endTime":1085,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1030&ask_summarization=1"},{"index":9,"title":"Artan Değişimler","list":{"type":"unordered","items":["Haritalardaki bozulma, tarım ürünlerinin olgunlaşma süresi, yerçekimi, grup ve tan süresi, alacakaranlık süresi, güneş ışınlarının atmosferde kat ettiği yol, tutulma oranı ve gölge boyu ekvatordan kutuplara doğru artar.","Norveç'te sıcaklık ortalamasının Endonezya'dan daha düşük olması ve Umman Denizi'nin Baltık Denizinden daha tuzlu olması dünyanın şekliyle açıklanır.","Aynı enlem üzerinde doğu kıyılarının batı kıyılarından daha soğuk olması veya Londra'nın sıcaklık ortalamasının kış mevsiminde Arabistan'dan daha yüksek olması dünyanın şekliyle açıklanamaz."]},"beginTime":1085,"endTime":1226,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1085&ask_summarization=1"},{"index":10,"title":"Dünya Şekli ve Geoid","list":{"type":"unordered","items":["Yerin geoid şekle sahip olduğunu kanıtlayan durum yerçekiminin kutuplara doğru gidildikçe artmasıdır.","Grup ve tan süresi ekvatordan kutup noktalarına doğru gidildikçe uzar.","Türkiye'de bulunan bir kişi güneşin doğuş ve batış anını daha uzun süre seyretmek isterse İsveç'e gitmelidir çünkü Türkiye'ye göre en kuzeyde yer alan merkez İsveç'tir."]},"beginTime":1226,"endTime":1379,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1226&ask_summarization=1"},{"index":11,"title":"Küresel Şekil ve Geoid Farkı","list":{"type":"unordered","items":["Dünya tam bir daire olsaydı (küresel bir şekle sahip olsaydı), en büyük çember ekvator olmazdı ve tüm çemberler aynı uzunluğa sahip olacaktı.","Küresel bir dünyada ekvator yarıçapı kutuplar yarıçapına eşit olacaktı ve yerçekimi dünyanın her yerinde aynı olacaktı.","Kutup yıldızını görme açısı enlem derecesini verir; birinci gözlem noktası 60 derecelik açıyla, ikinci gözlem noktası 30 derecelik açıyla görüldüğünde, birinci gözlem noktasından ikinci gözlem noktasına doğru gidildiğinde kutuptan ekvatora doğru gidildiği anlaşılır."]},"beginTime":1379,"endTime":1492,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1379&ask_summarization=1"},{"index":12,"title":"Kutuptan Ekvatora Değişimler","list":{"type":"unordered","items":["Kutuptan ekvatora doğru gidildiğinde güneş ışınlarının yere düşme açısı, sıcaklık, paralellerin çevre uzunlukları, meridyenler arası mesafe ve çizgisel hız artar.","Grup ve tan süresi kısalır, yerçekimi azalır, güneş ışınlarının tutulma oranı azalır ve alacakaranlık süresi azalır.","Deniz ve okyanusların tuzluluk oranı ve buharlaşma miktarı artar."]},"beginTime":1492,"endTime":1563,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1492&ask_summarization=1"},{"index":13,"title":"Ödev ve Kaynak Önerileri","list":{"type":"unordered","items":["Konunun sonuna gelindiği için soru çözme işlemi yapılacak.","İki kaynak öneriliyor: \"Dan Dokuz'a Coğrafya Konu Anlatımlı Soru Bankası\" ve \"Dan Dokuz'a Coğrafya Soru Bankası\".","Konu anlatımlı soru bankasında eksiklikler varsa, soru bankasından sorular çözülecek."]},"beginTime":1571,"endTime":1596,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1571&ask_summarization=1"},{"index":14,"title":"Ödev Detayları","list":{"type":"unordered","items":["Önceki hafta verilen ödevin (doğal sistemler kısmında tarihsel süreçte coğrafya, coğrafya biliminin bölünmemesi, insan-doğa etkileşim ve coğrafi) eksiksiz yapılması isteniyor.","Bugünkü işlenen konu yerkürenin şekli olup, \"Dan Dokuz'a Coğrafya Soru Bankası\"ndan sayfa 23'teki sorular çözülecek.","Sorular boşluk doldurma, çoktan seçmeli testler, doğru yanlış ifadeleri ve eşleştirmeler şeklinde olacak."]},"beginTime":1596,"endTime":1636,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1596&ask_summarization=1"},{"index":15,"title":"Ek Ödev ve Ödüllü Soru","list":{"type":"unordered","items":["\"Dan Dokuz'a Coğrafya Konu Anlatımlı Soru Bankası\"ndan \"Dünyanın Şekli\", \"Dünyanın Şeklinin Sonuçları\" ve \"Ekvatordan Kutba Doğru Gittiğimizde Değişimler\" konuları incelenecek.","Kitapların temin edilmesi isteniyor.","Ödüllü sorunun cevapları yorumlar kısmına yazılmalı."]},"beginTime":1636,"endTime":1671,"href":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1636&ask_summarization=1"}],"linkTemplate":"/video/preview/10937845674649445551?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dünya'nın Şekli ve Sonuçları | 9. 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Öğretmen, öğrencinin sorularını yanıtlarken konuyu detaylı şekilde açıklamaktadır.","Video, coğrafyanın temel kavramlarını, doğa-insan ilişkisini ve coğrafyanın ilkelerini ele almaktadır. İlk bölümde doğanın doğal ve beşeri unsurları, dört küre ve doğa-insan ilişkisi anlatılırken, ikinci bölümde iklim şartlarının insan üzerindeki etkileri ve coğrafyanın ilkeleri açıklanmaktadır. Son bölümde ise coğrafyanın dalları, yardımcı bilim dalları ve tarihsel gelişimi ele alınmaktadır.","Video, coğrafyanın ezberleme yerine taktiklerle öğretilmesi gerektiğini vurgulayarak, öğrencilerin coğrafyayı daha keyifli bulacaklarını belirtmektedir. Ayrıca Türkiye örneği üzerinden jeolojik zaman ve deprem riski ilişkisi gösterilmekte ve coğrafya dersinin önemli konuları özetlenerek sınav hazırlığı için öneriler sunulmaktadır."]},"endTime":1110,"title":"Coğrafya Dersi: Temel Kavramlar ve Tarihsel Gelişimi","beginTime":0}],"fullResult":[{"index":0,"title":"Coğrafyanın Önemi ve Tanımı","list":{"type":"unordered","items":["Coğrafya, yaşadığımız dünyayı ve ülkemizi daha iyi tanımamızı sağlayan önemli bir dersdir.","Coğrafya, Antalya'nın daha sıcak, Samsun'un daha yağışlı, Rize'nin çok yağışlı olmasının nedenini açıklar.","Coğrafya, denizlere yaklaştıkça ısı artması ve kalıcı kar sınırının yükseklere çıkması gibi fenomenleri açıklar."]},"beginTime":4,"endTime":72,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=4&ask_summarization=1"},{"index":1,"title":"Doğal ve Beşeri Unsurlar","list":{"type":"unordered","items":["Doğal unsurlar sıcaklık, rüzgar, akarsular, denizler ve toprak gibi doğanın oluşturduğu unsurlardır.","Beşeri unsurlar ise insan tarafından yapılan köprüler, tünel, baraj gibi yapıları ifade eder.","Doğayı oluşturan dört sene atmosfer (hava küre), hidrosfer (su küre), litosfer (taş küre) ve biosfer (canlılar) olarak adlandırılır."]},"beginTime":72,"endTime":116,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=72&ask_summarization=1"},{"index":2,"title":"Doğanın Döngüleri ve İnsan-Doğa İlişkisi","list":{"type":"unordered","items":["Atmosferde su döngüsü, azot döngüsü ve kayaç döngüsü gibi döngüler bulunur.","Doğanın insana sunulan unsurlar iklim özellikleri, bitki örtüsü, yer şekilleri, sular, topraklar ve taşlardır.","İnsan doğaya çevre kirliliği, kentleşme, arazi kullanımı ve ekonomik faaliyetler gibi etkileri yapar."]},"beginTime":116,"endTime":189,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=116&ask_summarization=1"},{"index":3,"title":"Ekonomik Faaliyetler ve Yerleşme","list":{"type":"unordered","items":["Tarım ve hayvancılık gibi ekonomik faaliyetler doğayı güzel kullanır, örneğin inekten et, süt, deri ve gübre elde edilir.","Turizm, ulaştırma, ticaret ve sanayi de ekonomik faaliyetler olarak doğayla etkileşim halinde olur.","İnsanlar göç ederek (beyin göçü, iç göç, dış göç) geçici veya kalıcı yerleşmeler oluşturur."]},"beginTime":189,"endTime":227,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=189&ask_summarization=1"},{"index":4,"title":"Doğanın İnsanlara Etkisi","list":{"type":"unordered","items":["Doğal çevre insanların yaşamına alan oluşturur ve insanlar beslenme, barınma, ulaşım ve iletişim ihtiyaçlarını karşılamak için doğadan faydalanır.","İklim şartları insanların karakterini etkiler; ekvatora yakın yerlerde sıcaklık farkı az olduğu için insanlar hep tişört giyerken, kutuplarda insanlar kalın kıyafetler giyer.","Türkiye, Amerika ve Avrupa gibi iklim farkı olan bölgelerde insanlar rekabet, çalışma ve hırs içerisinde yaşar, bu da karakterlerini şekillendirir."]},"beginTime":229,"endTime":341,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=229&ask_summarization=1"},{"index":5,"title":"İklim ve Yaşam Tarzı","list":{"type":"unordered","items":["Kurak bölgelerde insanlar kerpiç evler inşa ederken, ormanlık bölgelerde ahşap evler tercih edilir.","Soğuk iklim bölgelerinde insanlar yağlı, protein değeri yüksek hayvansal ürünler tüketirken, sıcak iklim bölgelerinde sebze ve meyveler tercih edilir.","Gelişmiş ülkeler ulaşım ihtiyaçlarını karşılamak için tüneller, köprüler ve viyadükler inşa ederken, sanayileşme küresel ısınmayı artırır ve denizlerin kirliliğini arttırır."]},"beginTime":341,"endTime":409,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=341&ask_summarization=1"},{"index":6,"title":"İnsanın Doğaya Etkisi","list":{"type":"unordered","items":["İnsanlar Amazon ve Kongo havzasındaki ormanları yakarak dünyanın ciğerlerini tahrip etmektedir.","İnsanlar doğaya çeşitli etkileri vardır: Panama Kanalı, İstanbul'daki ulaşım altyapısı gibi.","İnsanlar doğaya göre ev yaparlar: yarı kurak ve kurak sahalarda topraktan, ormanlık sahalarda ahşaptan evler inşa ederler."]},"beginTime":409,"endTime":470,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=409&ask_summarization=1"},{"index":7,"title":"Doğanın İnsanlara Zararları","list":{"type":"unordered","items":["Doğanın insanlara doğal afetler olarak deprem, sel ve volkanik patlama gibi zararları vardır.","Coğrafyanın ilkeleri arasında dağılış ilkesi, karşılıklı ilke ve neden-sonuç ilke bulunmaktadır.","Dağılış ilkesi, bir şeyin nerede olduğu sorusuna cevap verirken, karşılıklı ilke \"ne ile ilgili\" sorusuna cevap verir."]},"beginTime":470,"endTime":648,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=470&ask_summarization=1"},{"index":8,"title":"Coğrafyanın Dalları","list":{"type":"unordered","items":["Fiziki coğrafya jeomorfoloji, klimatoloji, hidrografya, biyocoğrafya, toprak coğrafyası, doğal afetler ve kartografi gibi dallardan oluşur.","Beşeri coğrafya nüfus, yerleşme, kültürel, siyasi, tarihi, tarım, sanayi, ulaşım, enerji, ticaret, turizm ve sağlık gibi alanları kapsar.","Coğrafyanın üç ana dalı vardır: fiziki coğrafya, beşeri ve ekonomik coğrafya ile bölgesel coğrafya."]},"beginTime":648,"endTime":686,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=648&ask_summarization=1"},{"index":9,"title":"Coğrafyanın Alt Bölümleri","list":{"type":"unordered","items":["Bölgesel coğrafyada bölgeler coğrafyası ve ülkeler coğrafyası konuları işlenir.","Coğrafyanın alt dalları arasında jeomorfoloji, kartografya, hidroloji, klimatoloji, biyografya, doğal afetler coğrafyası, toprak coğrafyası ve jeopolitik bulunmaktadır.","Türkiye'nin jeopolitik önemi, Asya ile Avrupa'yı bağlayan bir konumda olması nedeniyle önemlidir."]},"beginTime":688,"endTime":737,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=688&ask_summarization=1"},{"index":10,"title":"Coğrafyanın Yardımcı Bilim Dalları","list":{"type":"unordered","items":["Coğrafyaya yardımcı bilim dalları arasında meteoroloji, etnoloji, tarih, teknolojik coğrafya, petoloji, jeodezi, arkeoloji, palentoloji, jeofizik, limnoloji, ose, litoloji ve felsefe bulunmaktadır.","Botanik, zooloji, istatistik, antropoloji ve demografya da coğrafyaya yardımcı bilim dalları olarak sayılır.","Demografik yatırımlar, nüfus yoğunluğuna göre yapılan yatırım türleridir; gelişmiş ülkelerde az nüfus yoğunluğunda eğitim yatırımları, geri kalmış ülkelerde yüksek nüfus yoğunluğunda sağlık ve eğitim altyapısı yatırımları yapılır."]},"beginTime":737,"endTime":810,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=737&ask_summarization=1"},{"index":11,"title":"Coğrafyanın Tarihsel Süreci","list":{"type":"unordered","items":["Coğrafya ilk çağda Mısır, Yunan ve Mezopotamya medeniyetlerinden katkı almıştır.","Mısır'da Nil nehri yazın taşması, geometri ve takvimin keşfi için önemli olmuştur.","İlk coğrafyacılar arasında Tales, Platon, Aristote, Mender, İbni Mesudi, İbni Hurdadbeh ve Kaşgarlı Mahmut bulunmaktadır."]},"beginTime":810,"endTime":896,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=810&ask_summarization=1"},{"index":12,"title":"Yeniçağ'da Coğrafya","list":{"type":"unordered","items":["Yeniçağ'da coğrafya, pusulanın icadı ve denizcilik sayesinde hızla gelişmiştir.","Rönesans ve Reform dönemlerinde Avrupa, özellikle Alman kültürü, coğrafyaya önemli katkılar sağlamıştır.","Fiziki coğrafyanın kurucusu Alexander von Humboldt ve beşeri coğrafyanın kurucusu Carl Ritter öne çıkmıştır."]},"beginTime":896,"endTime":924,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=896&ask_summarization=1"},{"index":13,"title":"Kıtaların Kayma Teorisi","list":{"type":"unordered","items":["Kıtaların kayma teorisi, dünyanın en başta birleşik bir puzzle gibi olduğunu ve zamanla kıtaların birbirinden ayrıldığını iddia eder.","Kıtalar birbirinden ayrıldıkça uzaklaşıp gidiyor ve bu süreçte depremler oluşmaktadır.","Dünyada levhalar bulunmaktadır ve bu levhalar üzerinde kıtalar ve ülkeler bulunmaktadır."]},"beginTime":924,"endTime":983,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=924&ask_summarization=1"},{"index":14,"title":"Osmanlı ve Türkiye'de Coğrafya","list":{"type":"unordered","items":["Osmanlı'da coğrafyaya katkılar Piri Reis'in Kitab-ı Bahriyesi ve dünya haritası, Evliya Çelebi'nin Seyahatnamesi ile Katip Çelebi'nin eserleriyle olmuştur.","Türkiye'de coğrafya 1900'lü yıllardan sonra başlamıştır ve Faik Duran, Ali Arda, Reşat gibi önemli coğrafyacılar olmuştur.","Coğrafyada doğanın insana etkisi ve insanın doğa üzerindeki etkisi konuları incelenmektedir."]},"beginTime":983,"endTime":1035,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=983&ask_summarization=1"},{"index":15,"title":"Coğrafya Öğreniminde Yardımcı Kaynaklar","list":{"type":"unordered","items":["Coğrafya öğreniminde yazılı sınavlar, özel etkinlikler ve akıllı haritalar hazırlanmıştır.","Akıllı notlar ve haritalar sayesinde coğrafya bilgilerini daha etkili bir şekilde pekiştirebilirsiniz.","Bu kaynaklar yılların tecrübesiyle hazırlanmış olup sınavlara başarılı bir şekilde hazırlanmanıza yardımcı olacaktır."]},"beginTime":1035,"endTime":1089,"href":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1035&ask_summarization=1"}],"linkTemplate":"/video/preview/14565306221615710685?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. 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Sınıf '\"Ocak\" ayı programına buradan ulaşabilirsin👉http://bit.ly/2QWI4Ir 9. Sınıflar! #Matematik dersinde bugün, \"Köklü Sayılar\" konusunu kapsamlı anlatım ve sınav tarzı sorularla birlikte...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2763440/362be690439bb054f7d6211d9bdc2f58/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/s3L76QAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=videoid:8895756362113893670","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin 9. sınıf öğrencilerine yönelik hazırladığı köklü sayılar konulu canlı yayın dersidir. Öğretmen, Ferhat, Merve, Yağmur ve İbrahim gibi öğrencilerin de katıldığı bir ders ortamında sunum yapmaktadır.","Videoda köklü sayılar konusu detaylı bir şekilde ele alınmaktadır. Öğretmen, köklü ifadelerin özellikleri, kök dışına çıkarma kuralları, köklü sayıların üslü sayı şeklinde yazımı, kök derecelerinin genişletilmesi/sadeleştirilmesi, köklü ifadelerde toplama-çıkarma-çarpma-bölme işlemlerinin nasıl yapılacağı, köklü sayıların eşlenikleri ve kök içinde muhabbetler konularını örneklerle açıklamaktadır.","Video, 2. dönem sonu soru çözümlerini içeren interaktif bir ders formatında ilerlemektedir. Öğretmen, hastalıktan dolayı yorulduğunu belirterek izleyicilere özür dilerken, konuyu adım adım ve pratik örneklerle anlatmaktadır. Video, bir soru çözümüyle ve ödüllü bir soruyla sona ermektedir."]},"endTime":3073,"title":"9. Sınıf Köklü Sayılar Canlı Yayın Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"9. Sınıf Köklü Sayılar Konusuna Giriş","list":{"type":"unordered","items":["9. sınıf köklü sayılar konusunu anlatan canlı yayında öğrencilerle birlikteyiz.","Geçen canlı yayın çok interaktif ve etkili olmuş, bugün de güzel bir yayın sunulması hedefleniyor.","Köklü sayılar konusu çok önemli olduğu için dikkatli dinlemek gerekiyor."]},"beginTime":2,"endTime":82,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2&ask_summarization=1"},{"index":1,"title":"Köklü Sayıların Tanımı","list":{"type":"unordered","items":["n bir pozitif tam sayı ve a bir reel sayı olmak üzere, n ≥ 2 olacak şekilde x üzeri n = a denkleminin çözümü olan x gerçek sayılarına a sayısının n. dereceden kökü denir.","Köklü sayılar ortaokuldan bilinir ancak 9. sınıfta daha gelişmiş konular ele alınacak.","Kök içindeki sayı, kökün derecesine göre farklı sonuçlar verebilir; örneğin 64, 4'ün küpü (3. dereceden kök) veya 8'in karesi (2. dereceden kök) olabilir."]},"beginTime":82,"endTime":252,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=82&ask_summarization=1"},{"index":2,"title":"Köklerin Türleri","list":{"type":"unordered","items":["Kökte görünmez bir sayı varsa, bu sayı 2'dir ve bu durumda karekök denir.","Kökte 3 yazarsa küpkök, 4 yazarsa dördüncü dereceden kök gibi devam eder."]},"beginTime":252,"endTime":279,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=252&ask_summarization=1"},{"index":3,"title":"Köklü İfadelerin Özellikleri","list":{"type":"unordered","items":["Çift dereceli köklü ifadelerin içi negatif olamaz, negatif olursa reel sayı olmaz, karmaşık sayı olur.","Tek dereceli köklü ifadelerde kökün içi pozitif veya negatif olabilir, ancak çift dereceli köklü ifadelerde kökün içi kesinlikle pozitif olmalıdır.","Köklü ifadelerde payda sıfır olamaz, bu da çözüme etki edebilir."]},"beginTime":279,"endTime":554,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=279&ask_summarization=1"},{"index":4,"title":"Köklü İfadelerin Özelliklerinin Uygulanması","list":{"type":"unordered","items":["Köklü ifadelerde kök dışına çıkarma işlemi yapılırken, kökün derecesi ile üstün derecesi aynıysa birbirini götürür ve içteki ifade dışarı çıkar.","Tek dereceli köklü ifadelerde içteki ifade direkt dışarı çıkar, çift dereceli köklü ifadelerde ise mutlak değer dışarı çıkar.","Çift dereceli köklü ifadelerde mutlak değer dışarı çıkarıldığından, sonucun her zaman pozitif olması gerekir."]},"beginTime":554,"endTime":741,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=554&ask_summarization=1"},{"index":5,"title":"Kök Dışına Çıkarma","list":{"type":"unordered","items":["Kök dışına çıkarma işlemi yapılırken, kök içindeki sayıların kare, küp veya diğer kuvvetlerini bilmek önemlidir (örneğin: kök 4 = 2, kök 9 = 3, kök 16 = 4).","Küp kök dışına çıkarma işlemi yapılırken, kök içindeki sayının küpünü bilmek gerekir (örneğin: küp kök 27 = 3, küp kök 64 = 4).","Kök dışına çıkarma ikinci kuralı: Enişteden bir kök x varsa ve çarpanları ayrıldığında belirli bir formu alıyorsa, x üzeri en bey çıkarılır."]},"beginTime":749,"endTime":886,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=749&ask_summarization=1"},{"index":6,"title":"Tersten Okuma ve Düzgün Yazma","list":{"type":"unordered","items":["Matematikte önemli olan bir kuralı bilmek değil, düzgün yazmak ve tersten okumaktır.","Tersten okuma, nasıl dışarı çıktığını düşünerek içeriye yerleştirme işlemidir (örneğin, a üzeri en dışarı çıkıyorsa, içeriye a üzeri en olarak girer).","Kök içindeki sayıları kare, küp veya diğer kuvvetler olarak yazarak dışarı çıkarma işlemi yapılabilir (örneğin: 18 = 9×2, 72 = 36×2)."]},"beginTime":886,"endTime":1142,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=886&ask_summarization=1"},{"index":7,"title":"Köklü Sayıların Üslü Sayı Şeklinde Yazımı","list":{"type":"unordered","items":["Her köklü sayı aynı zamanda bir üslü sayıdır.","Kök işaretinin üst üste yazılması, üslü sayı şeklinde yazımın temelidir (örneğin: ³√252 = 252^(1/3)).","Üslü sayı şeklinde yazım, tabanlar aynıysa üstlerin toplanması veya çıkarılması gibi işlemlerde kolaylık sağlar."]},"beginTime":1142,"endTime":1378,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1142&ask_summarization=1"},{"index":8,"title":"Kök Derecelerinin Genişletilmesi ve Sadeleştirilmesi","list":{"type":"unordered","items":["Kök derecesi genişletilebilir veya sadeleştirilebilir, ancak içeriğin de aynı şekilde genişletilmesi veya sadeleştirilmesi gerekir.","Kök derecelerinin eşitlenmesi, sıralama sorularında ve iç içe köklerde kullanışlıdır.","Kök içindeki üst 1 ve kök derecesi 2 olduğunda, bunlar yazılmaz (örneğin: √a = a^(1/2))."]},"beginTime":1378,"endTime":1501,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1378&ask_summarization=1"},{"index":9,"title":"Sıralama Sorularında Kök Derecelerinin Eşitlenmesi","list":{"type":"unordered","items":["Sıralama sorularında, köklerin tabanları eşitlenir veya dereceleri eşitlenir.","Kök derecelerini eşitlemek için, her kökün derecesini aynı sayıya genişletmek gerekir (örneğin: ²√a, ³√b, ⁴√c'yi ¹²√a, ¹²√b, ¹²√c şeklinde eşitlemek).","Dereceleri eşitlendikten sonra, kök içindeki sayılar karşılaştırılarak sıralama yapılır."]},"beginTime":1501,"endTime":1587,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1501&ask_summarization=1"},{"index":10,"title":"Köklü İfadelerde Toplama ve Çıkarma","list":{"type":"unordered","items":["Köklü ifadelerde toplama ve çıkarma işlemi yapılırken, kök kuvveti ve içi aynı olan terimler toplanıp çıkarılır.","Kök kuvveti veya içi farklı olan terimler toplanamaz veya çıkarılamaz.","Köklü ifadelerde toplama ve çıkarma işlemi, üslü sayılarda olduğu gibi aynı terimlerin toplanması gibidir."]},"beginTime":1592,"endTime":1889,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1592&ask_summarization=1"},{"index":11,"title":"Köklü İfadelerde Çarpma ve Bölme","list":{"type":"unordered","items":["Kök kuvvetleri aynı olan köklü ifadeler çarpılır veya bölünürken, kök içine girerler ve çarpılırlar.","Kök kuvvetleri farklı olan ifadeler çarpılırken önce kök kuvvetleri eşitlenir.","Kök kuvvetlerini eşitlemek için, kökün derecesi ile genişletme yapılır ve içteki sayılar da aynı oranda çarpılır."]},"beginTime":1889,"endTime":2065,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=1889&ask_summarization=1"},{"index":12,"title":"Eşlilik Kavramı","list":{"type":"unordered","items":["Eşlilik kavramı, köklü ifadeleri kökten kurtarmak için kullanılır.","Köklü ifadeleri eşliliği ile çarptığımızda, iki kare farkı formülü kullanılarak kökten kurtulur.","Bir köklü ifadenin eşlisi, kök içindeki ifadenin işaretini değiştirerek bulunur (örneğin, kök x - kök y'nin eşlisi kök x + kök y'dir)."]},"beginTime":2065,"endTime":2248,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2065&ask_summarization=1"},{"index":13,"title":"Köklü Sayıların Eşleniği","list":{"type":"unordered","items":["Köklü sayıların kökten kurtarılması için eşlenik çarpımı yapılır.","Kök beş eksi kök üç ile kök beş artı kök üç çarpıldığında, kökler birbirini götürüp sayılar kalır.","Köklü sayıların eşlenik çarpımı a²-b² formülüne göre hesaplanır."]},"beginTime":2252,"endTime":2307,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2252&ask_summarization=1"},{"index":14,"title":"Köklü Sayıların Çarpımı","list":{"type":"unordered","items":["Köklü sayıların çarpımı a²-b² formülüne göre hesaplanır.","Köklerin karesi alınarak sonuç bulunur.","Köklü sayıların çarpımında genellikle terimler birbirini götürür."]},"beginTime":2307,"endTime":2384,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2307&ask_summarization=1"},{"index":15,"title":"Köklü Sayıların Kökten Kurtarılması","list":{"type":"unordered","items":["Köklü sayıların kökten kurtarılması için eşlenik çarpımı yapılır.","Pay ve payda eşlenikle çarpılır, kökler birbirini götürür.","Sonuçta köklü sayılar sadeleştirilir."]},"beginTime":2384,"endTime":2465,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2384&ask_summarization=1"},{"index":16,"title":"Kök İçinde Muhabbetler","list":{"type":"unordered","items":["Kök içinde muhabbetler üslü sayılara benzer şekilde işlem yapılır.","Kök kök içinde sayı yoksa, dereceler çarpılarak tek kök içinde ifade edilir.","Kök kök içinde sayı varsa, içeri girerken üs alınarak işlem yapılır."]},"beginTime":2465,"endTime":2655,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2465&ask_summarization=1"},{"index":17,"title":"Kök İçinde Muhabbet Örnekleri","list":{"type":"unordered","items":["Kök içinde muhabbetlerde dışarıdaki kökler içeri girerken üs alınır.","Dereceler çarpılarak tek kök içinde ifade edilir.","Kök içindeki sayılar çarpılarak tek kök içinde ifade edilir."]},"beginTime":2655,"endTime":2801,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2655&ask_summarization=1"},{"index":18,"title":"Köklü Sayıların Kareleri","list":{"type":"unordered","items":["(a+b)² formülü hatırlatılıyor: birinci terimin karesi, iki terimin çarpımının iki katı ve ikinci terimin karesi toplamı.","Örnek olarak (√3+√2)² hesaplanıyor: 3+2√6+2=5+2√6.","İki köklü sayının karesi alınırken, sonuç iki sayının toplamı ve çarpımı şeklinde ifade edilir."]},"beginTime":2803,"endTime":2899,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2803&ask_summarization=1"},{"index":19,"title":"Köklü Sayıların Çözümü","list":{"type":"unordered","items":["x=iki sayının toplamı ve y=iki sayının çarpımı şeklindeki ifadelerde, kök içindeki ifade köklü sayıların karesi olarak yazılabilir.","İşlemdeki \"2\" terimi çok önemlidir, bu terim görünce çözümü tamamlamak mümkündür.","Örnek olarak 5+2√6 ifadesi √3-√2 şeklinde yazılabilir."]},"beginTime":2899,"endTime":2983,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2899&ask_summarization=1"},{"index":20,"title":"Örnek Sorular","list":{"type":"unordered","items":["İzleyicilere 11+2√18 ifadesini çözmeleri isteniyor.","Çözüm: 9+2=11 ve 9×2=18 olduğundan, ifade √9+√2 şeklinde yazılır.","Köklü sayılar canlı yayını burada sona eriyor ve izleyicilerden cevaplarını yorumlara bırakmaları isteniyor."]},"beginTime":2983,"endTime":3053,"href":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=2983&ask_summarization=1"}],"linkTemplate":"/video/preview/8895756362113893670?parent-reqid=1769549489763158-3652368203904998936-balancer-l7leveler-kubr-yp-sas-197-BAL&text=teckguy09&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. Sınıf Matematik | Köklü 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