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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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1565&ask_summarization=1"}],"linkTemplate":"/video/preview/3183188314363314493?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&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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Sınıf Coğrafya - Koordinat Sistemi – Paralel ve Meridyenler | 2022 0:00 Videoda Neler Var? Facebook : / hocalarageldik Instagram: / hocalarageldik Twitter : / hocalarageldik...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3906919/3064cb80e1a5857a5cfbee9a9abc9976/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QET0UgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=videoid:10778043217027071922","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin 9. sınıf öğrencilerine coğrafya dersi anlattığı eğitim içeriğidir. Öğretmen, paralel, meridyen ve coğrafi konum konularını detaylı şekilde açıklamaktadır.","Video, paralellerin tanımı ve özellikleriyle başlayıp, meridyenlerin özellikleri, koordinat sistemi ve enlem-boylam konularını ele almaktadır. Son bölümde ise ekvatordan kutuplara doğru değişen coğrafi özellikler (kalıcı kar sınırı, orman sınırı, deniz suyunun tuzluluğu, yerçekimi, dünyanın dönüş hızı, tan ve grup süreleri, gece-gündüz süre farkı, cisimlerin gölge boyu ve haritalardaki hatalar) açıklanmaktadır.","Video, TYT ve AYT sınavlarına hazırlık için temel coğrafya bilgilerini içermekte ve enlemin etkileri (güneş ışınlarının geliş açısı, sıcaklık, iklim, bitki ve hayvan türleri, toprak çeşitleri, akarsu rejimi, nüfus dağılışı ve yerleşme şekilleri) hakkında detaylı bilgiler sunmaktadır."]},"endTime":1382,"title":"9. Sınıf Coğrafya Dersi: Paralel, Meridyen ve Coğrafi Konum","beginTime":0}],"fullResult":[{"index":0,"title":"9. Sınıf Coğrafya Dersi Tanıtımı","list":{"type":"unordered","items":["9. sınıf coğrafya dersinde paralel, meridyen ve coğrafi konum konuları anlatılacak.","9. sınıf coğrafya, TYT ve AYT sınavlarında gerekli bilgilerin büyük bir bölümünü içerdiği için önemlidir."]},"beginTime":0,"endTime":31,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=0&ask_summarization=1"},{"index":1,"title":"Paraleller","list":{"type":"unordered","items":["Ekvator, kutup noktalarına eşit uzakta bulunan ve dünyayı tam ortadan çevreleyen en büyük çemberdir.","Ekvatora birer derecelik aralıklarla çizilen paralel çemberlere paralel denir.","Dünya'da 180 paralel dairesi vardır ve ardışık iki paralel arasındaki mesafe her yerde 111 kilometredir.","Paralellerin boyları kutuplara gidildikçe kısalır ve kutuplara geldiğinde nokta şeklinde gösterilir."]},"beginTime":31,"endTime":180,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=31&ask_summarization=1"},{"index":2,"title":"Enlem","list":{"type":"unordered","items":["Enlem, herhangi bir nokta ile ekvator arasındaki açısal uzaklıktır ve paralelin numarası ile aynıdır.","Enlem derece, dakika ve saniye cinsinden ifade edilir."]},"beginTime":180,"endTime":214,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=180&ask_summarization=1"},{"index":3,"title":"Meridyenler","list":{"type":"unordered","items":["Meridyenler, kutup noktalarını yüzeyden birleştirdiği varsayılan yarım çemberlerdir.","Başlangıç meridyeni, İngiltere'nin Londra şehrinden geçen Greenwich meridyenidir.","Dünya'da 360 meridyen yayı vardır ve ardışık iki meridyen arasındaki zaman farkı her yerde 4 dakikadır.","Meridyen arasındaki mesafe kutuplara doğru daralır, ancak zaman farkı değişmez çünkü dünyanın dönüşünden kaynaklanan çizgisel hız kutuplara doğru azalır.","Anti-meridyen, bir meridyenin tam karşısındaki meridyendir ve doğu-batı yarımküre kurallarına göre belirlenir."]},"beginTime":214,"endTime":396,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=214&ask_summarization=1"},{"index":4,"title":"Boylam ve Coğrafi Konum","list":{"type":"unordered","items":["Boylam, herhangi bir nokta ile başlangıç meridyeni arasındaki açısal uzaklıktır ve derece, dakika ve saniye cinsinden ifade edilir.","Coğrafi konum, bir ülkenin, kıtanın, kentin veya yerin dünyanın neresinde olduğunu belirtmesidir.","Coğrafi konum iki şekilde anlatılır: matematik konum (mutlak konum) ve özel konum (göreceli konum).","Matematik konum, bir yerin ekvatora ve başlangıç meridyenine göre yerini belirtir.","Özel konum, bir yerin yakınında bulunan denizlere, dağlara, geçitlere, yollara, ülkelere ve doğal kaynaklara göre konumunu ifade eder."]},"beginTime":396,"endTime":500,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=396&ask_summarization=1"},{"index":5,"title":"Koordinat Sistemi ve Noktaların Konumlandırılması","list":{"type":"unordered","items":["Bir noktanın koordinatı, üzerinden geçen paralel ve meridyenlerle belirtilir; Greenwich ve ekvator başlangıç noktalarıdır.","A noktasının koordinatı 80 batı meridyeni ve 40 kuzey paraleli olarak ifade edilir.","C noktasının koordinatı 60 doğu meridyeni ve 80 güney paraleli, B noktasının koordinatı ise 100 doğu meridyeni ve 60 kuzey paraleli olarak belirtilir."]},"beginTime":501,"endTime":567,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=501&ask_summarization=1"},{"index":6,"title":"Yön Kavramı ve Tarla Koordinatları","list":{"type":"unordered","items":["Üniversite sınavlarında yön kavramları sorulabilir; örneğin C noktası A'ya göre güneydoğu, B'ye göre batı veya güneybatı yönündedir.","Tarlanın koordinatı, kenarından geçen çizgilerle belirtilir; örneğin 20-60 doğu meridyenleri ile 20-60 kuzey paralelleri arasında yer alır.","Meridyenler arasındaki mesafe sadece ekvatorda hesaplanabilir ve 111 birimdir; kutuplara gidildikçe daralır."]},"beginTime":567,"endTime":733,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=567&ask_summarization=1"},{"index":7,"title":"Özel İsimlendirilmiş Enlem ve Boylamlar","list":{"type":"unordered","items":["23-27 kuzey ve güney enlemleri dönence olarak nitelendirilir, dik ışınların en son geldiği enlemlerdir.","66-30 güney enlemleri kutup daireleri olarak adlandırılır ve aydınlanma çemberinin en son geldiği noktadır.","Oğlak dönse dik ışınlar 21 Aralık'ta, yengeç dönse dik ışınlar ise 21 Haziran'da düşer."]},"beginTime":733,"endTime":825,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=733&ask_summarization=1"},{"index":8,"title":"Enlemin Etkileri","list":{"type":"unordered","items":["Ekvatordan kutuplara doğru güneş ışınlarının geliş açısı küçülür, sıcaklık azalır ve iklim değişir.","Bitkiler ekvatorda geniş yapraklı, orta kuşakta hem geniş hem iğne yapraklı, kutuplara gittiğimizde iğne yapraklı olur.","Hayvanların derileri, derilerindeki yağ oranları ve toprak çeşitleri enleme göre değişir."]},"beginTime":825,"endTime":903,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=825&ask_summarization=1"},{"index":9,"title":"Nüfus Dağılımı ve Tarım","list":{"type":"unordered","items":["Dünyadaki insanların %80'i ılıman iklimli orta kuşakta yaşar.","İnsanlar yaşadığı bölgelere göre evler yaparlar; ekvatorda ahşap, dağlık alanda taş, karasal bölgede kerpiç, kutupta ise farklı evler yaparlar.","Tarım ürünleri çeşitliliği iklim çeşidine bağlıdır; ekvatorda ananas, kahve, kakao yetiştirilirken, orta kuşakta domates, salatalık, biber, patlıcan yetiştirilir."]},"beginTime":903,"endTime":970,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=903&ask_summarization=1"},{"index":10,"title":"Ekvatordan Kutuplara Doğru Değişen Özellikler","list":{"type":"unordered","items":["Ekvatorda kar yağar ancak deniz seviyesinde değil, 4500-5000 metre yükseklikte yağar ve kalıcı olabilmesi için 5500 metre yükseklikte olması gerekir.","Kalıcı kar sınırı ekvatordan kutuplara doğru gittikçe azalır: Türkiye'de 3500 metre, Norveç'te 1500 metre, kutuplarda ise sıfıra kadar iner.","Orman sınırı, kauçkar sınırı ve tarımın yükselti sınırı da kutuplara girdikçe azalır."]},"beginTime":977,"endTime":1061,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=977&ask_summarization=1"},{"index":11,"title":"Deniz Suyunun Özellikleri ve Yerçekimi","list":{"type":"unordered","items":["Deniz suyunun tuzluluğu ekvatora yakın yerlerde binde 41 civarında iken, kutuplara gittiğimiz zaman binde 1'e kadar düşer.","Ekvatordan kutuplara gidildikçe yerçekimi artar; ekvatorda 978 Newton olan bir cismin ağırlığı kutuplarda 983 Newton'a kadar çıkabilir.","Dünya'nın dönüş hızı ekvatorda ve kutuplarda 4 dakika meridyen arasıdır, ancak kutuplarda yavaş döndüğü için açısal hızları eşittir."]},"beginTime":1061,"endTime":1142,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1061&ask_summarization=1"},{"index":12,"title":"Tan ve Grup Süreleri","list":{"type":"unordered","items":["Tan ve grup süresi, güneşin ufuk çizgisinden çıkma ve batma zamanıdır.","Ekvatordan kutuplara gidildikçe tan ve grup süresi uzar, bu nedenle güneşin doğuşunu uzun uzun izlemek isteyenler kutuplara gitmelidir.","Gece-gündüz süre farkı ekvatorda her zaman eşit (12-12) iken, kutuplara doğru gidildikçe artar."]},"beginTime":1142,"endTime":1196,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1142&ask_summarization=1"},{"index":13,"title":"Gölge Boyu ve Haritalardaki Hatalar","list":{"type":"unordered","items":["Ekvatorda cisimlerin gölge boyu daha kısa çünkü güneş daha büyük açıyla gelirken, kutuplara doğru gidildikçe gölgenin boyu uzar.","Haritalarda gerçekteki alanlar ile gösterilen alanlar arasında büyük farklar olabilir, örneğin Avustralya haritada neredeyse 3-4 kat daha büyük görünür.","Haritalardaki bozulmaların artmasının nedeni dünyanın küresel şeklidir."]},"beginTime":1196,"endTime":1260,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1196&ask_summarization=1"},{"index":14,"title":"Boylamın Etkileri","list":{"type":"unordered","items":["Aynı boylam üzerindeki noktaların güneşin karşısındaki geçme süreleri aynıdır ve bu nedenle yerel saat aynıdır.","Aynı boylam üzerindeki noktaların başlangıç meridyeni ile arasındaki zaman farkı aynıdır, ancak mesafe aynı değildir.","Aynı boylam üzerindeki noktalarda güneşin doğuş ve batış anları sadece yılda iki gün (21 Mart ve 23 Eylül) aynıdır, bu tarihler ekinoks tarihleridir."]},"beginTime":1260,"endTime":1364,"href":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1260&ask_summarization=1"}],"linkTemplate":"/video/preview/10778043217027071922?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"9. 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bulunma olasılığı açısal koordinatlara bağlıdır ve en fazla on elektron alabilir."]},"beginTime":388,"endTime":521,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=388&ask_summarization=1"},{"index":5,"title":"F Orbitali Özellikleri","list":{"type":"unordered","items":["F orbitalinin şekilleri çok karışıktır, bazen sekiz parçalı, bazen altı parçalı olabilir.","F orbitali dördüncü enerji düzeyinden itibaren her enerji düzeyinde bulunur ve elektronun bulunma olasılığı açısal koordinatlara bağlıdır.","F orbitali toplamda yedi orbital içerir ve her orbital en fazla iki elektron alabildiği için toplamda en fazla on dört elektron alabilir."]},"beginTime":523,"endTime":614,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=523&ask_summarization=1"},{"index":6,"title":"Modern Atom Teorisi","list":{"type":"unordered","items":["Modern atom teorisine göre elektronlar hem tanecik hem de dalga özelliğine sahiptir.","Herhangi bir elektronun aynı anda hızı ve konumu tespit edilemez, bu Heisenberg belirsizlik ilkesidir.","Uyarılmış haldeki elektronlar ışıma yaparak temel hale dönebilir."]},"beginTime":614,"endTime":655,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=614&ask_summarization=1"},{"index":7,"title":"Orbital Özellikleri Soruları","list":{"type":"unordered","items":["Aynı atoma ait s orbitallerinin enerjisi, daha küçük olan orbitalin enerjisi daha düşüktür ve maksimum elektron sayıları eşittir.","P orbitalleri ikinci enerji seviyesinden itibaren her enerji seviyesinde bulunur, özdeş durumda enerjileri birbirine eşittir ve elektronların bulunma olasılıkları açısal koordinatlara bağlıdır.","D orbitalleri en az üçüncü enerji seviyesinden itibaren bulunur, eş enerjili yedi orbital içerir ve elektron bulunma olasılığı açısal koordinatlara bağlı olmayan s orbitali de her enerji seviyesinde bulunabilir."]},"beginTime":655,"endTime":793,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=655&ask_summarization=1"},{"index":8,"title":"Orbitallerin Tanımı ve Özellikleri","list":{"type":"unordered","items":["Orbitaller, elektronun bulunma ihtimalinin yüksek olduğu sınır yüzey diyagramlarıdır.","Farklı şekilleri olan elektron yoğunluklu bölgelerdir ve elektronun üç boyutlu hareketini temsil eder.","D orbitali aynı enerji seviyesinde kendisiyle eş enerjili bir orbital bulunabilir, sınır yüzey diyagramı belirli şekillerde olabilir ve en fazla iki elektron alabilir."]},"beginTime":793,"endTime":874,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=793&ask_summarization=1"},{"index":9,"title":"Baş Kuantum Sayısı","list":{"type":"unordered","items":["Baş kuantum sayısı (n) iki olan orbitaller s veya p orbitalidir.","S orbitali küreseldir, p orbitali çekirdek etrafında zıt yönelmiş iki lobdan oluşur.","Baş kuantum sayısı iki olan orbitaller hem küresel hem de iki lobdan oluşabilir."]},"beginTime":874,"endTime":903,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=874&ask_summarization=1"},{"index":10,"title":"Elektron Dizilimi ve Orbitaller","list":{"type":"unordered","items":["Elektron dizilimi, elektron dağılımı veya elektronik konfigürasyon, modern atom modelinde elektronların çekirdek etrafında orbitallere yerleşmesini ifade eder.","Elektronlar farklı enerjilere sahip olduğu için farklı şekillerde yönelir ve 2s, 2p gibi atom orbitalleri ortaya çıkar.","Dış katmanlara çıktıkça elektronların enerjileri artar çünkü dış katmanlardaki elektronlar, çekirdekten gelen çekim kuvvetini yenebilmek için daha yüksek enerjiye ihtiyaç duyar."]},"beginTime":904,"endTime":975,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=904&ask_summarization=1"},{"index":11,"title":"Katmanlarda Maksimum Elektron Sayısı","list":{"type":"unordered","items":["Bir katmanda olabilecek maksimum elektron sayısı 2n² formülü ile bulunur.","Birinci katmanda 2 elektron (1s orbitali), ikinci katmanda 8 elektron (2s ve 2p orbitalleri), üçüncü katmanda 18 elektron (2s, 2p ve 3d orbitalleri) olabilir.","Dördüncü katmanda 32 elektron (2s, 2p, 4d ve 4f orbitalleri), beşinci katmanda 54 elektron (2s, 2p, 5d ve 5f orbitalleri) olabilir."]},"beginTime":975,"endTime":1041,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=975&ask_summarization=1"},{"index":12,"title":"Orbital Sayısı ve Elektron Yerleşimi","list":{"type":"unordered","items":["Bir katmandaki orbital sayısı n² formülü ile bulunur: birinci katmanda 1 orbital, ikinci katmanda 4 orbital, üçüncü katmanda 9 orbital, dördüncü katmanda 16 orbital.","Orbitaller yuvarlak veya kare şeklinde gösterilir ve elektronlar zıt yönde (yukarı-aşağı) yerleştirildiğinde tam dolu, tek yönde yerleştirildiğinde yarı dolu olarak ifade edilir.","Elektronlar enerjiye göre orbitallere yerleşir ve bir orbitalin enerjisi n+l değeri ile bulunur; n+l değeri büyükse enerjisi büyüktür."]},"beginTime":1041,"endTime":1211,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1041&ask_summarization=1"},{"index":13,"title":"Oba Kuralı","list":{"type":"unordered","items":["Oba kuralı, elektronların enerjisi düşükten başlayarak yerleştirilmesini belirtir.","Elektronların sıralaması: 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s, 4d, 5p, 6s, 4f, 5d, 6p, 7s şeklinde olur.","Bu sıralamayı s'den iki tane, ps'den iki tane, dps'den iki tane, fdps'den bir tane yazarak da elde edebiliriz."]},"beginTime":1214,"endTime":1331,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1214&ask_summarization=1"},{"index":14,"title":"Avrupa Kuralı","list":{"type":"unordered","items":["Avrupa kuralına göre, temel haldeki atomlarda elektronlar en düşük enerjiye sahip orbitalden başlayarak sırasıyla yüksek enerjiye doğru dolmaktadır.","Genellikle 1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p, 5s sıralamasına kadar çıkılır."]},"beginTime":1331,"endTime":1403,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1331&ask_summarization=1"},{"index":15,"title":"Hunt Kuralı","list":{"type":"unordered","items":["Hunt kuralına göre, eş enerjili orbitallere elektronlar yerleşirken önce boş orbitale yerleşir, boşlar dolduktan sonra yanlarına diğerleri yerleşir.","Bu kural, metrobüs örneğiyle açıklanabilir: önce cam kenarları dolduktan sonra yanlarına diğerleri gelmeye başlar.","P orbitalinde üç tane orbital var ve elektronlar önce birer tane yerleşir, sonra diğer yönde yerleşir."]},"beginTime":1403,"endTime":1584,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1403&ask_summarization=1"},{"index":16,"title":"Pauli Dışlama İlkesi","list":{"type":"unordered","items":["Pauli dışlama ilkesine göre, bir atomdaki iki elektronun kuantum sayılarının hepsi aynı olamaz, en az birisi farklı olmak zorundadır.","Bir orbitalde bulunan iki elektron aynı spinli olamaz, yani aynı yönde olamaz.","Elektronun dönüş yönü biri saat yönünde, diğeri saat yönünün zıttında döner; yukarı çizilen saat yönü, aşağı çizilen saat yönünün tersidir."]},"beginTime":1584,"endTime":1712,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1584&ask_summarization=1"},{"index":17,"title":"Elektron Dizilimi ve Orbitaller","list":{"type":"unordered","items":["S orbitali en fazla iki elektron alabilir, p orbitali dört elektron alabilir.","Elektronlar alt enerji seviyesini doldurmadan üst enerji seviyesine geçemez, bu Aupa kuralına uygundur.","Elektron içeren orbitalleri tam doldurmak gerekir ve çekirdek yükü, temel halde proton sayısına eşittir."]},"beginTime":1717,"endTime":1790,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1717&ask_summarization=1"},{"index":18,"title":"Orbital Enerji Sıralaması","list":{"type":"unordered","items":["Orbital enerji sıralaması için n+l değeri kullanılır, n değeri büyük olan orbitalin enerjisi daha büyüktür.","S orbitali için l=0, p orbitali için l=1, d orbitali için l=2, f orbitali için l=3 değeridir.","Bu kuralı ezberlemek yerine, n ve l değerlerini kullanarak soruları çözmek daha etkilidir."]},"beginTime":1790,"endTime":1854,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1790&ask_summarization=1"},{"index":19,"title":"Orbital Özellikleri","list":{"type":"unordered","items":["S orbitalinin şekli yuvarlaktır ve 3s ile 4s orbitallerinin şekilleri aynıdır.","4s orbitalinin enerjisi 3s'ten büyüktür ve çekirdeğe daha uzaktır.","Toplam 32 elektron alabilen enerji seviyesi 4. katmandır ve spdf orbitallerini içerir."]},"beginTime":1854,"endTime":1931,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1854&ask_summarization=1"},{"index":20,"title":"Enerji Sıralaması Örnekleri","list":{"type":"unordered","items":["Enerji sıralamasında n+l değeri kullanılır, n değeri büyük olan orbitalin enerjisi daha büyüktür.","5p orbitalinin enerjisi 3d orbitalinden büyüktür ve 5s veya 4p orbitalleri de olabilir.","F orbitali için n değeri en az 4 olmalıdır, bu nedenle f orbitali olma ihtimali yoktur."]},"beginTime":1931,"endTime":2115,"href":"/video/preview/4817888813828971?parent-reqid=1769475338516725-7425473071309049051-balancer-l7leveler-kubr-yp-sas-251-BAL&text=9redweeee&t=1931&ask_summarization=1"},{"index":21,"title":"Dersin Özeti ve Öneriler","list":{"type":"unordered","items":["Orbital 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