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Öğretmen önce karenin alanının kenar uzunluğunun kendisiyle çarpımı olduğunu, dikdörtgenin alanının ise kısa kenarın uzun kenarla çarpımı olduğunu açıklar. Ardından noktalı kağıt üzerinde karenin ve dikdörtgenin alanlarını hesaplama, farklı dikdörtgenlerin alanlarını bulma ve çevre bilgisi verilen karenin alanını hesaplama gibi örnekler üzerinden konuyu pekiştirir."]},"endTime":398,"title":"5. 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Ben Hakan Talay. Geometri konu anlatımı serimize Üçgende Alan hesaplama ile devam ediyoruz. Kenar uzunlukları bilinen üçgenlerde alan hesaplamanın nasıl yapılacağını detaylı olarak...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2357524/4a2ff88fa88f34925e33d54bd6945003/564x318_1"},"target":"_self","position":"2","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6A7gc5Ys8Mg","linkTemplate":"/video/preview/4137060187135350486?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometri Üçgende Alan Hesaplama - Kenar Uzunlukları İle Alan Hesabı","related_orig_text":"Alan H","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alan H\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6A7gc5Ys8Mg\",\"src\":\"serp\",\"rvb\":\"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_E8gBggQkAYAEKyqLARABGniBAfwH-QAAAO8R_Af4A_8B7fkDDvsAAADtBwcAAv8AAPgB-Az6AAAA8QYBAgkAAAAH9_YCA_0BABf08AABAAAAEvUDBwIAAADyAvAEAAEAAPUGAgIDAAAACgoE-_8AAAD8_fsC-f4AAPkK-f4AAAAA_PL87gAAAAAgAC2n4tM7OBNACUhOUAIqcxAAGmA99gA88_PH8APQ6jwLGAGavewA-r33__jw_6nzzhA-Oua9vEEAKRLfHpoAAAAY5w0wKQAXf_EAD0H04xe369wX5nkTEPnWOPzkrwJdBTLLK_U6LTMA9dqvz2cCyhY6ZvMgAC1nbw07OBNACUhvUAIqrwYQDBqgBgAAMEEAAIDAAACgQAAAoEEAAILCAACwQQAATEIAAILCAABgQQAAhMIAADxCAAAwQgAAiEEAACDBAAAgwQAA0EEAAIZCAACAwAAANMIAAIhBAAA4QgAAyMEAAKDAAABkQgAAQMAAAEBCAADoQQAAFMIAAEDBAAAgwQAAcMEAAFhCAACIwQAAmEEAAPDBAADoQQAAFEIAAHRCAABMwgAAYMEAAIDAAABQwgAAEEIAADBBAADowQAAmMEAANBBAABwQQAAPEIAABRCAACAwQAAlsIAABBCAADgQQAAYEEAAEhCAAAwQgAALMIAAAhCAAAgwQAA4MEAAATCAACYwQAAYMEAADxCAACmQgAA2EEAAGBCAACgwQAAcMEAADhCAACAwAAAoMAAAIA_AAAIwgAA7sIAACjCAAAQwQAAgMIAAHTCAAC8wgAAuEIAAPDBAADwQQAAgEEAAOhBAACCQgAAIMIAAMDBAAAMwgAAAMIAAFhCAACywgAAAMEAAAzCAAC8wgAAQMEAAJpCAAAAAAAAuEEAAJjBAAAwQgAA4EEAALDBAADwwQAAUEEAAFDBAACIQQAAMEEAAKBBAADYQQAAdMIAAMjBAAA0QgAAKMIAACTCAADwQQAAjsIAANBBAADAwgAA0MEAAIDAAACowQAAsMEAAJjBAADgwAAAoMEAANjBAAD4wQAAkEEAAAAAAAAQwgAARMIAALJCAACWwgAA-EEAAGhCAAAYwgAAoMAAAMDBAAAcQgAA4EAAAKjCAAA8QgAAmEEAAMhBAACowQAAoMEAAPBBAAAgwQAAoEAAACRCAAAAAAAAMMEAAETCAACAQQAAEMIAABTCAABwwQAAUEEAAEDBAAAAwgAAWMIAAFBBAACoQQAAxEIAALhBAACgQAAAQEAAAHBBAABEwgAAsEEAAFBBAAAkwgAAeMIAAAhCAACOwgAAqMIAAEDAAACAQgAAEEEAAMhBAAB4wgAABEIAAI5CAAAAQAAAEMIAAEBCAAAowgAAOMIAABjCAADgQQAAMMEAAOBAAAD4QQAAqEEAAODAAABgwQAAHMIAABDCIAA4E0AJSHVQASqPAhAAGoACAAC6PgAA2D0AAO4-AAA0PgAAuD0AAC0_AAAEPgAAUb8AAJK-AADqPgAAnj4AAAS-AAAzPwAAuD0AABA9AABkvgAAXD4AACQ-AAAVPwAAaz8AAG8_AACCvgAA6j4AAKg9AACePgAAdL4AAJ4-AAAtPwAALD4AALi9AAD4PQAAEb8AAEw-AAA0PgAADL4AACu_AADWvgAApr4AAH-_AAA8vgAAGz8AALi9AABQPQAAB78AAOC8AAAwPQAAoDwAAA2_AABEvgAAVb8AAKK-AACOPgAAUD0AANI-AABkvgAAVD4AAHs_AACYPQAA2L0AAAU_AADaPgAAzr4AABy-AADWviAAOBNACUh8UAEqjwIQARqAAgAAEL0AACy-AAAQPQAAN78AAFC9AACSPgAAzj4AAEC8AAAUvgAAuD0AAOA8AAAsvgAAMD0AAPi9AAAwPQAAgDsAAOC8AABBPwAAUL0AAGQ-AABAPAAARL4AAOA8AADgPAAAgDsAAGS-AACoPQAAMD0AAMg9AACYvQAA-D0AAKC8AACmvgAAiL0AAEw-AABwvQAABD4AAAQ-AADmvgAAmL0AAAw-AAAkPgAApj4AALi9AABAPAAA4DwAAH-_AABsPgAAhj4AACS-AACAOwAAiD0AADA9AACAuwAAbD4AALg9AAAwPQAAij4AAEA8AACgPAAALD4AAKi9AACgPAAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=6A7gc5Ys8Mg","parent-reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4137060187135350486"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17762400326407427155":{"videoId":"17762400326407427155","docid":"12-5-1-ZC723F8B5CBD48BEF","description":"Dikdörtgende alan hesaplama (dikdörtgende çevre alan ilişkisi) konu anlatımı ve test çözümü ile 7. sınıf matematik çokgenler ünitesi devam ediyor. Dikdörtgenin alanı nasıl hesaplanır?","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2044383/5284430eb0512547db85d56da351cc54/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/yyg3_QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=videoid:17762400326407427155","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmen ve Recep adlı öğrencisi arasında geçen matematik eğitim içeriğidir. Öğretmen, geometri konularını Recep'e adım adım anlatmaktadır.","Videoda dörtgenlerin alanı ve çevre-alan ilişkisi konuları ele alınmaktadır. İlk bölümde alanı verilen dikdörtgenin çevresinin en küçük ve en büyük değerlerini bulma yöntemleri, çevresi verilen dikdörtgenin alanının en küçük ve en büyük değerlerini bulma yöntemleri anlatılmaktadır. İkinci bölümde ise kare, yamuğun alanları, taralı alan hesaplama ve Asım Bey'in tarlasını çocuklarına paylaştırması gibi beceri temelli problemler çözülmektedir.","Video, bir sonraki derste çemberde açılar konusunun işleneceği bilgisiyle sonlanmaktadır."]},"endTime":893,"title":"Dörtgenlerin Alanı ve Çevre-Alan İlişkisi Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Dörtgenlerin Alanı ve Çevre İlişkisi","list":{"type":"unordered","items":["Bugün dörtgenlerin alanını ve çevre-alan ilişkisini inceleyeceğiz.","Dörtgenlerin alanı ile ilgili problemlerde, cisimleri parçalara ayırıp tüm alanını bulma veya bir parça tamamını çıkarıp kalan alanı bulma yöntemleri kullanılır.","Çevre-alan ilişkisinde, bir cismin alanı verildiğinde çevresi tahmin edilebilir veya çevresi verildiğinde alanı en fazla veya en az olabileceği tahmin edilebilir."]},"beginTime":16,"endTime":80,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=16&ask_summarization=1"},{"index":1,"title":"Alanı Verilen Dikdörtgenlerin Çevresi","list":{"type":"unordered","items":["Alanı 18 birim kare olan farklı dikdörtgenler çizildiğinde, kenar uzunlukları 1x18, 2x9 ve 3x6 olarak bulunabilir.","Alanı verilen bir dikdörtgenin çevresinin maksimum değerini bulmak için \"2n+2\" formülü kullanılabilir.","Alanı verilen bir dikdörtgenin en küçük çevresini bulmak için sayıları birbirine en yakın seçmek, en büyük çevresini bulmak için sayıları birbirine en uzak seçmek gerekir."]},"beginTime":80,"endTime":241,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=80&ask_summarization=1"},{"index":2,"title":"Çevresi Verilen Dikdörtgenlerin Alanı","list":{"type":"unordered","items":["Çevresi verildiğinde önce çevreyi ikiye bölmek gerekir, böylece bir kısa ve bir uzun kenarın toplamını anlamış oluruz.","Çevresi 20 birim olan bir dikdörtgenin alanı, kenarları 1x9 veya 5x5 olarak seçildiğinde sırasıyla 9 cm² ve 25 cm² olur.","Çevresi verildiğinde, kenarları birbirine ne kadar uzak seçersek alanımız o kadar küçük, ne kadar yakın seçersek alanımız o kadar büyük olur."]},"beginTime":241,"endTime":395,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=241&ask_summarization=1"},{"index":3,"title":"Örnek Sorular","list":{"type":"unordered","items":["Çevre uzunluğu 22 santim olan dikdörtgenin alanı en az 10 santimetrekare, en fazla 30 santimetrekare olabilir.","Alanı 40 santimetrekare olan dikdörtgenin çevre uzunluğu en az 26 cm, en fazla 82 cm olabilir.","Alanı 8 birim kare olan şeklin çevre uzunluğu en fazla 18 birimdir."]},"beginTime":395,"endTime":587,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=395&ask_summarization=1"},{"index":4,"title":"Kare ve Yamuk Alan Hesaplama","list":{"type":"unordered","items":["Kenarları 8'e 8 olan bir karenin alanı 64 santimetre kare olarak hesaplanır.","Yamuğun yüksekliği 7 santimetre, üst tabanı 4 santimetre, alt tabanı 6 santimetre olarak belirlenir.","Yamuğun alanı (4+6)×7÷2 formülüyle 35 santimetre kare olarak bulunur ve kareden çıkarılarak 29 santimetre kare sonucu elde edilir."]},"beginTime":593,"endTime":660,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=593&ask_summarization=1"},{"index":5,"title":"Dikdörtgen ve Üçgen Alan Hesaplama","list":{"type":"unordered","items":["Dikdörtgenin kısa kenarı 6 santimetre, uzun kenarı 10 santimetre olduğundan alanı 60 santimetre karedir.","Üçgenin alanları hesaplanır: 3×6×2÷2=9 santimetre kare, 4×6×2÷2=12 santimetre kare, 3×10×2÷2=15 santimetre kare.","Üçgenin toplam alanı 36 santimetre kare olduğundan, dikdörtgenden çıkarılarak ortadaki sarı üçgenin alanı 24 santimetre kare olarak bulunur."]},"beginTime":660,"endTime":744,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=660&ask_summarization=1"},{"index":6,"title":"Tarla Paylaşımı Problemi","list":{"type":"unordered","items":["Asım Bey'in üç bölgeden oluşan tarlasının alanları hesaplanır: 1. bölge 28 birim kare, 2. bölge 25 birim kare, 3. bölge 22,5 birim kare.","Murat 3. bölgeyi, Merve 2. bölgeyi, Ahmet 1. bölgeyi alır ve büyükten küçüğe doğru sıralanır.","Ahmet en büyük bölgeyi (28 birim kare) alır, Murat en küçük bölgeyi (22,5 birim kare) alır, Merve orta bölgeyi (25 birim kare) alır."]},"beginTime":744,"endTime":860,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=744&ask_summarization=1"},{"index":7,"title":"Sonraki Video Konusu","list":{"type":"unordered","items":["Bir sonraki videoda çemberde açılar konusu işlenecektir.","İzleyicilerden kanala abone olmaları, yorum yapmaları ve beğenmeleri istenmektedir."]},"beginTime":860,"endTime":878,"href":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=860&ask_summarization=1"}],"linkTemplate":"/video/preview/17762400326407427155?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dikdörtgende Alan Hesaplama (Çevre & Alan İlişkisi Konu Anlatımı, Test Çözümü) 7. 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4.sınıf matematik alan ölçme problemleri, alan ölçme 5.sınıf, 3.sınıf alan ölçme, 3. sınıf alan ölçme, alan ölçme 3.sınıf,alan, alan ölçme soruları, 4. sınıf matematik alan ölçme, 3...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3955254/2dfb1bc8a69cc7bc89304c50f332217f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/tHPXEgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=videoid:18307717105673869457","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersidir. Eğitmen, kare ve dikdörtgen şekillerinin alan ve çevre hesaplamalarını adım adım anlatmaktadır.","Videoda kare ve dikdörtgen şekillerinin alan ve çevre hesaplamaları çeşitli örneklerle açıklanmaktadır. İlk bölümde karenin alanı ve çevresi, dikdörtgenin alanı ve süsleme problemi, altı karenin birleştirilmesiyle oluşan dikdörtgenin alanı ve dikdörtgen şeklindeki kağıttan kalan alan hesaplaması gibi problemler çözülmektedir. İkinci bölümde ise çevresi verilen karenin alanı, alanı verilen karenin çevresi ve karesel-dikdörtgensel bölgeden oluşan bir şeklin alanı hesaplamaları ele alınmaktadır.","Eğitmen her problem için şekil çizerek çözüm sürecini görselleştirmekte ve gerekli hesaplamaları detaylı olarak göstermektedir."]},"endTime":1060,"title":"Kare ve Dikdörtgen Alan ve Çevre Hesaplamaları Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Karenin Alanı ve Çevresi","list":{"type":"unordered","items":["Alanı 25 birim kare olan karenin çevresi soruluyor.","Karenin alanı iki kenarının çarpımı olduğundan, 5×5=25 olduğu için kenar uzunluğu 5 birimdir.","Karenin çevresi 4×5=20 birimdir."]},"beginTime":6,"endTime":150,"href":"/video/preview/18307717105673869457?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=6&ask_summarization=1"},{"index":1,"title":"Dikdörtgen Şeklindeki Defterin Süslenmesi","list":{"type":"unordered","items":["Bir kenarı 2 birim olan kare şeklindeki resimlerle süslenen dikdörtgen şeklindeki defterin alanı 14×6=84 birim karedir.","Her bir süsün alanı 2×2=4 birim kare olduğundan, defteri süslemek için 84÷4=21 adet süs gerekmektedir."]},"beginTime":150,"endTime":341,"href":"/video/preview/18307717105673869457?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=150&ask_summarization=1"},{"index":2,"title":"Karelerden Oluşan Dikdörtgenin Alanı","list":{"type":"unordered","items":["Çevresi 20 santimetre olan bir karenin kenar uzunluğu 5 santimetredir.","Altı tane bu kare birleştirilerek oluşan dikdörtgenin kısa kenarı 5 santimetre, uzun kenarı 30 santimetredir.","Dikdörtgenin alanı 5×30=150 santimetre karedir."]},"beginTime":341,"endTime":516,"href":"/video/preview/18307717105673869457?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=341&ask_summarization=1"},{"index":3,"title":"Kağıdın 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ALAN Hesaplama Nasil Yapilir? 5. sınıf tüm derslerin konu anlatımlarını ve değerlendirme çalışmalarını anlatacağım.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4411994/65d29273a69f74a7ccf1c007d0d14c82/564x318_1"},"target":"_self","position":"8","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=videoid:111298051187405948","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin öğrencilere matematik dersinde alan ölçüsü hesaplamalarını anlattığı eğitim içeriğidir.","Videoda alan kavramının tanımı yapılarak çevre ile alan arasındaki fark açıklanmakta, ardından birim kare cinsinden alan hesaplamaları örneklerle gösterilmektedir. İlk bölümde karenin alanı (a²) ve dikdörtgenin alanı (a×b) formülleri anlatılırken, ikinci bölümde dikdörtgen alan hesaplama formülü kullanılarak üç farklı örnek soru çözülmektedir.","Örnekler arasında uzun kenarı 15 cm, kısa kenarı 8 cm olan bir dikdörtgenin alanı, uzun kenarı 35 cm, kısa kenarı 15 m olan bir bahçenin alanı ve uzun kenarı 45 metre, kısa kenarı 24 m olan bir bahçenin alanı hesaplamaları bulunmaktadır. Her örnek için adım adım çözüm gösterilmektedir."]},"endTime":1052,"title":"Matematik Alan Ölçüsü Hesaplamaları Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Alan Kavramı ve Çevre ile Farkı","list":{"type":"unordered","items":["Alan, sınırlı ve kapalı yüzeylerin iç kısmının ölçüsüne denir.","Çevre, yüzeylerin kenar uzunluklarının toplamıdır ve toplama işlemiyle bulunur.","Alan hesaplaması için çarpma işlemi yapılırken, çevre hesaplaması için toplama işlemi yapılır."]},"beginTime":41,"endTime":143,"href":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=41&ask_summarization=1"},{"index":1,"title":"Birim Kare ile Alan Hesaplama","list":{"type":"unordered","items":["Alan hesaplamalarında birim kare olarak ele alınır ve her bir kareye bir birim denir.","Boyalı alanın alanı, karelerin sayısını sayarak bulunur.","Farklı şekillerde boyalı alanların alanı, karelerin sayısını sayarak hesaplanır."]},"beginTime":143,"endTime":378,"href":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=143&ask_summarization=1"},{"index":2,"title":"Karenin Alanı","list":{"type":"unordered","items":["Karenin alanı bulmak için bir kenar uzunluğunu kendisiyle çarpılır.","Karenin bir kenarı a ise, alanı a² olur.","Uzunluk ölçü birimleri kullanıldığında (cm, m), alan birimi de aynı ölçü birimiyle ifade edilir (cm², m²)."]},"beginTime":378,"endTime":712,"href":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=378&ask_summarization=1"},{"index":3,"title":"Dikdörtgenin Alanı","list":{"type":"unordered","items":["Dikdörtgenin alanı bulmak için bir uzun kenar ile kısa kenarın uzunlukları çarpılır.","Dikdörtgenin alanı için formül a × b'dir.","Uzunluk ölçü birimleri kullanıldığında (cm), alan birimi de aynı ölçü birimiyle ifade edilir (cm²)."]},"beginTime":712,"endTime":926,"href":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=712&ask_summarization=1"},{"index":4,"title":"Dikdörtgen Alan Hesaplama Örnekleri","list":{"type":"unordered","items":["Uzun kenarı 15 cm, kısa kenarı 8 cm olan dikdörtgenin alanı 15 ile 8'i çarparak 120 cm² olarak bulunur.","Bir kenarı 35 cm, kısa kenarı 15 m olan dikdörtgen şeklindeki bahçenin alanı 15 ile 35'i çarparak 525 m² olarak hesaplanır.","Bir kenarı 45 metre, kısa kenarı 24 m olan dikdörtgen şeklindeki bahçenin alanı 45 ile 24'ü çarparak 1080 m² olarak bulunur."]},"beginTime":941,"endTime":1033,"href":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=941&ask_summarization=1"},{"index":5,"title":"Dersin Kapanışı","list":{"type":"unordered","items":["Dersin sonunda izleyicilerden videoları beğenip yorum yapmaları isteniyor.","Kanala abone olup bildirim zilini açmaları rica ediliyor.","Derslerde başarılar dileniyor."]},"beginTime":1033,"endTime":1051,"href":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1033&ask_summarization=1"}],"linkTemplate":"/video/preview/111298051187405948?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Matematik alan hesaplama nasıl yapılır? 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Sınıf Matematik alan hesaplama çalışması yaptık. Çok güzel oldu. Bunu dinleyince tam öğreneceğinizi düşünüyorum. Kolay gelsin.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2994277/0640c8c8584a151c74db331b288a6710/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ptOhDQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=videoid:5924020631475369410","teaser":[{"list":{"type":"unordered","items":["Bu video, bir öğretmenin \"kuzular\" diye hitap ettiği 4. sınıf öğrencilerine matematik dersi anlattığı eğitim içeriğidir. Öğretmen, öğrencilere etkileşimli bir şekilde konuyu adım adım açıklamaktadır.","Videoda alan ölçüsünün ne olduğu, günlük hayattaki uygulamaları ve hesaplama yöntemleri ele alınmaktadır. İçerik, basit birim kare şeklindeki şekillerden başlayarak, tam ve yarım birim kare içeren şekiller, dikdörtgen ve kare alanları, çevre hesaplamaları ve karmaşık şekillerin alanlarını bulma tekniklerine kadar uzanmaktadır.","Öğretmen, renkli bölgelerin alanlarını bulma, hayali şekiller çizerek alan hesaplama gibi farklı problem türlerini çözmekte ve öğrencilerin kendi başlarına çözebilecekleri sorular sunmaktadır. Video, öğrencilere zaman kazandırmak için bazı soruların çözümünü bırakarak sona ermektedir."]},"endTime":1511,"title":"4. Sınıf Matematik Dersi: Alan ve Çevre Ölçümü","beginTime":0}],"fullResult":[{"index":0,"title":"Alan Kavramı","list":{"type":"unordered","items":["Dört sınıf öğrencileri matematik dersinde alan ölçümü konusunu öğreniyorlar.","Alan, bir cismin kapladığı alanı ifade eder ve ev, bahçe veya halı gibi alanların metrekare cinsinden ölçülmesiyle ilgilidir.","Alan hesaplamasında cismin içi incelenirken, çevre hesaplamasında ise kenarları sayılır."]},"beginTime":18,"endTime":136,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=18&ask_summarization=1"},{"index":1,"title":"Birim Kare ile Alan Hesaplama","list":{"type":"unordered","items":["Birim kare olarak adlandırılan kutucuklarla oluşan şekillerin alanları, içindeki kutucuk sayısını sayarak hesaplanır.","İlk şekil 26 birim kare, ikinci şekil 24 birim kare, üçüncü şekil 26 birim kare olarak hesaplanmıştır.","Farklı şekillerde aynı büyüklükte alanlar bulunabilir, örneğin 26 birim kare alanlı iki farklı şekil gösterilmiştir."]},"beginTime":136,"endTime":393,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=136&ask_summarization=1"},{"index":2,"title":"Yarım Birim Kareler","list":{"type":"unordered","items":["Yarım birim kareler, tam birim karelerin yarısı olarak kabul edilir ve bir bütün oluşturur.","16 tam birim kare ve 4 yarım birim kare (2 tam) toplamı 18 birim kare olarak hesaplanır.","25 tam birim kare ve 4 yarım birim kare (2 tam) toplamı 27 birim kare olarak hesaplanır."]},"beginTime":393,"endTime":568,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=393&ask_summarization=1"},{"index":3,"title":"Kare Şeklinin Alanı","list":{"type":"unordered","items":["Kare şeklindeki bir cismin alanı, bir kenarının uzunluğunun kendisiyle çarpılmasıyla bulunur.","8 birim kenarlı bir karenin alanı 8×8=64 birim kare olarak hesaplanır.","Kare şeklindeki bir cismin çevresi, bir kenarının uzunluğunun 4 ile çarpılmasıyla bulunur ve 8×4=32 birim olarak hesaplanır."]},"beginTime":568,"endTime":630,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=568&ask_summarization=1"},{"index":4,"title":"Alan Hesaplama","list":{"type":"unordered","items":["Kare şeklindeki bir alanın hesaplanması için iki kenarın çarpılması yeterlidir, örneğin 10x10=100 birim kare.","Dikdörtgen şeklindeki bir alanın hesaplanması için kısa kenar ile uzun kenarın çarpılması gerekir, örneğin 3x6=18 birim kare.","Kare şeklindeki bir alanın hesaplanması için iki kenarın çarpılması yeterlidir, örneğin 7x7=49 birim kare."]},"beginTime":634,"endTime":740,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=634&ask_summarization=1"},{"index":5,"title":"Çevre Hesaplama","list":{"type":"unordered","items":["Dikdörtgenin çevresi hesaplanırken tüm kenarların toplamı alınır, örneğin 5+5+8+8=26 birim."]},"beginTime":740,"endTime":781,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=740&ask_summarization=1"},{"index":6,"title":"Karmaşık Alan Hesaplamaları","list":{"type":"unordered","items":["Karmaşık şekillerde alan hesaplaması için önce tüm alanın bulunması gerekir, örneğin 9x8=72 birim kare.","Mavi bölge hesaplanırken tam ve yarım alanlar ayrı ayrı sayılır, toplam 34 birim kare bulunur.","Beyaz bölge hesaplanırken toplam alandan mavi bölge çıkarılır, 72-34=38 birim kare bulunur."]},"beginTime":781,"endTime":958,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=781&ask_summarization=1"},{"index":7,"title":"Alan Hesaplama Problemleri","list":{"type":"unordered","items":["72 birimlik bir alandan 31 birimlik kırmızı bölge çıkarıldığında 41 birimlik beyaz bölge elde edilir.","Bir şeklin içinde başka bir şekil varsa, önce bütün şeklin alanı bulunur, sonra iç şeklin alanı çıkarılır.","Kare şeklindeki bir bölgenin alanı, kenar uzunluğunun karesi olarak hesaplanır."]},"beginTime":974,"endTime":1109,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=974&ask_summarization=1"},{"index":8,"title":"Kareli Alan Problemleri","list":{"type":"unordered","items":["40x30 birimlik bir alandan 15x15 birimlik kare ve 12x12 birimlik kare çıkarıldığında 811 birim kare boyalı alan elde edilir.","Farklı boyutlarda karelerin alanları toplanarak toplam alan bulunabilir.","Tam alandan istenen alan çıkarılarak boyalı alan hesaplanabilir."]},"beginTime":1109,"endTime":1260,"href":"/video/preview/5924020631475369410?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1109&ask_summarization=1"},{"index":9,"title":"Kesikli Alan Problemleri","list":{"type":"unordered","items":["Kesikli alanlarda, her bir bölgenin alanı ayrı ayrı hesaplanıp toplanarak toplam alan bulunabilir.","Kesikli alanlarda, her bir bölgenin kenar uzunlukları belirlenerek alan hesaplanır.","Kesikli alanlarda, farklı boyutlarda bölgelerin alanları toplanarak istenen alan 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alanı ve ölçek bulma. Öğretmen önce formülleri açıklar, ardından her bir başlık için örnek sorular çözer. Gerçek alan hesaplaması için \"gerçek alan = harita alanı × ölçeğin paydasının karesi\" formülü, harita alanı hesaplaması için \"harita alanı = gerçek alan / ölçeğin paydasının karesi\" formülü ve ölçek hesaplaması için \"ölçek = √(harita alanı / gerçek alan)\" formülü kullanılmaktadır. Her formül için adım adım çözüm gösterilmekte ve birim dönüşümleri de açıklanmaktadır."]},"endTime":544,"title":"Harita Alan Hesaplamaları Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Alan Hesaplamaları Giriş","list":{"type":"unordered","items":["Alan hesaplamaları gerçek alan, harita alanı ve ölçek bulma olmak üzere üç başlık altında inceleniyor.","Gerçek alan hesaplaması için formül: Gerçek alan = Harita alanı × Ölçeğin paydasının karesi."]},"beginTime":1,"endTime":95,"href":"/video/preview/12740107862361294053?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1&ask_summarization=1"},{"index":1,"title":"Gerçek Alan Hesaplama Örneği","list":{"type":"unordered","items":["1:1.400.000 ölçekli bir haritada 3 santimetre kare olan bir gölün gerçek alanı 588 kilometre kare olarak hesaplanıyor.","Ölçek birimi santimetre olduğundan, kilometreye çevirmek için 5 sıfır silinerek 14 elde ediliyor ve 14² = 196 olarak 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Whatsapp Kanalini Takip EDİN! https://www.whatsapp.com/channel/0029... Alan Hesaplama Problemleri Soru Çözümü 📌Tüm illerin çalışma soruları PDF dosyları ► https://drive.google.com/open...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/742118/730ac163826319c33c7241d85d0f84b5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XOO1EgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=videoid:14618948404526527353","teaser":[{"list":{"type":"unordered","items":["Bu video, Matrak TV'de matematik öğretmeni Ragıp Şahin tarafından sunulan bir eğitim içeriğidir. ","Videoda, kenar uzunlukları 20 metre ve 40 metre olan dikdörtgen şeklindeki bir tarlanın dört kenarından 6 metre genişliğinde bir yol geçtiği bir problem çözülmektedir. Öğretmen, tarlanın yoldan geriye kalan alanını bulmak için tüm alanı hesaplamak yerine, tarlanın kısa ve uzun kenarlarını yolların genişliğinden çıkararak daha kolay bir çözüm yöntemi göstermektedir. Sonuç olarak, tarlanın yoldan geriye kalan alanı 224 metrekare olarak bulunmuştur."]},"endTime":175,"title":"Alan Hesaplama Problemi Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Alan Hesaplama Problemi","list":{"type":"unordered","items":["Matematik öğretmeni Ragıp Şahin, alan hesaplama problemlerinden bir soru çözecek.","Soruda kenar uzunlukları 20 metre ve 40 metre olan dikdörtgen şeklindeki bir tarlanın dört kenarından 6 metre genişliğinde bir yol geçtiği belirtiliyor.","Sorunun çözümü için tarlanın tüm alanını bulup yolların alanını çıkarıp geriye kalan alanı hesaplamak yerine daha kolay bir yöntem öneriliyor."]},"beginTime":1,"endTime":46,"href":"/video/preview/14618948404526527353?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1&ask_summarization=1"},{"index":1,"title":"Sorunun Çözümü","list":{"type":"unordered","items":["Tarlanın yoldan geriye kalan yeşil bölgenin alanını bulmak için dikdörtgenin alan formülü (kısa kenar çarpı uzun kenar) kullanılacak.","Tarlanın kısa kenarı 20 metre iken, her iki kenardan 6 metre yol geçtiği için kısa kenar 20-12=8 metre olarak hesaplanıyor.","Tarlanın uzun kenarı 40 metre iken, her iki kenardan 6 metre yol geçtiği için uzun kenar 40-12=28 metre olarak hesaplanıyor."]},"beginTime":46,"endTime":141,"href":"/video/preview/14618948404526527353?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=46&ask_summarization=1"},{"index":2,"title":"Sonuç","list":{"type":"unordered","items":["Yeşil bölgenin kısa kenarı 8 metre, uzun kenarı 28 metre olduğundan alanı 8×28=224 metrekare olarak bulunuyor.","Cevap C şıkkı olarak 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Eğitmen, GPS cihazı kullanarak alan hesaplama işlemini adım adım göstermektedir.","Video, beton dökülmüş bir alanda alan hesaplama işleminin nasıl yapılacağını göstermektedir. Eğitmen önce cihazın bağlantı ayarlarını yaparak başlayıp, ardından \"çevre ve alan hesaplama\" özelliğini kullanarak dört köşe noktası alarak alan hesaplamasını gerçekleştiriyor. Bu yöntem sayesinde, ofise gitmeden doğrudan alan hesaplamaları yapılabilmesi gösteriliyor. Video, Netcad veya GPS kullanan kişiler için pratik bir eğitim kaynağı sunmaktadır."]},"endTime":412,"title":"GPS Cihazı ile Alan Hesaplama Eğitimi","beginTime":0}],"fullResult":[{"index":0,"title":"Alan Hesaplama Tanıtımı","list":{"type":"unordered","items":["Video, alan hesaplama işleminin GPS cihazı kullanılarak nasıl yapılacağını göstermektedir.","İki farklı alanın ölçümü yapılacağı, dökülmeyen alanların ise başka bir hakedişte değerlendirileceği belirtilmektedir.","South marka GPS cihazı kullanılarak alan hesabı yapılabilmesi, ofise gitmeden projelerin tamamlanmasını sağlayacaktır."]},"beginTime":1,"endTime":36,"href":"/video/preview/4621706122516152548?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1&ask_summarization=1"},{"index":1,"title":"Cihazın Hazırlanması","list":{"type":"unordered","items":["Cihazın bağlantısı beklenirken \"Service 40\" seçeneğine basılır ve \"Alan Hesaplama\" dosyası açılır.","Cihaz \"fix\" durumuna gelince alım için hazır hale gelir.","Araçlar menüsünden \"Çevre ve Alan Hesaplama\" seçeneğine erişilebilir."]},"beginTime":36,"endTime":98,"href":"/video/preview/4621706122516152548?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=36&ask_summarization=1"},{"index":2,"title":"Alan Ölçümü","list":{"type":"unordered","items":["Dosya ve ölçüm menüsünden \"Hızlı Alım\" seçeneği seçilir.","Alan hesabı yapabilmek için dört köşe noktası alınır.","GPS cihazı kullanılarak her köşe noktasında ölçüm yapılır."]},"beginTime":98,"endTime":161,"href":"/video/preview/4621706122516152548?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=98&ask_summarization=1"},{"index":3,"title":"Ölçüm İşlemi","list":{"type":"unordered","items":["İlk nokta ölçüldükten sonra ikinci, üçüncü ve dördüncü noktalar sırayla ölçülmektedir.","Koordinatların alan hesabı için önemi yoktur, sadece köşe noktaları alınması yeterlidir.","Aynı yöntemle diğer alanın da ölçümleri yapılır."]},"beginTime":161,"endTime":324,"href":"/video/preview/4621706122516152548?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=161&ask_summarization=1"},{"index":4,"title":"Alan Hesabının Hesaplanması","list":{"type":"unordered","items":["Dosya, cihaz, ölçüm ve araçlar menüsünden \"Çevre Alan\" seçeneğine tıklanır.","\"Ekle\" ve \"Seç\" seçenekleriyle ölçülen tüm noktalar seçilir.","\"Hesapla\" butonuna basıldığında çevre uzunluğu ve alan hesaplaması ekranda 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Sınıf öğrencileri! Eğitime Dair serisinde, Harita Bilgisi dersinin en can alıcı uygulamalı konusuna, **Ölçek ve Alan Hesaplamaları**na geçiyoruz. Bu bölümde, teorik bilgileri pratiğe...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2389183/c93754e655c60ab37b1c5b79a53513e6/564x318_1"},"target":"_self","position":"16","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2np3D_3nUtg","linkTemplate":"/video/preview/17584704943886126608?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Ölçek ve Alan Hesapları - 2.1.1.5 - Harita Bilgisi","related_orig_text":"Alan H","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alan H\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2np3D_3nUtg\",\"src\":\"serp\",\"rvb\":\"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-6_37Av4A9gP0DvYH_gLy7wsE_P7_AOMSCAEE_QIA8AsC-_kAAAD_DgAJ-gAAAPz4Bwz__gAACPz1_fcAAAAJ8wIR_wAAAPgG-QD-AQAA_PcC_wP_AAAeBQgJAAAAAAL99Ab8_wAB_AgJBQAAAAAE5QDyAAAAACAALXaCzjs4E0AJSE5QAipzEAAaYCH5ADwVDPYJ4AbyRx06Gcb08B4T2h3_5vEAki_1FwAcvIjEQAA_DQkFmgAAABXa4jYZADR_BQznCdcAE9DcvQnqZ0n4E8T28Qe-6iYNDQkZ3wZYLgC63szaOt2KQzs3_SAALVEhEjs4E0AJSG9QAiqvBhAMGqAGAACIQQAAQEAAAMhBAAAcQgAAkEIAAIDAAACIwQAABMIAANDBAACEwgAAsEEAAATCAADIwgAAyMEAAHhCAACKwgAAiEEAABBCAAAcwgAAkMEAAIhBAABAQAAADEIAALhBAAB8QgAAiEEAAGzCAACEwgAAQMAAADRCAAAQwQAAqEEAAJbCAABAQAAAOMIAADDBAABQQQAAmEIAACDCAADgQAAAKEIAADDBAACAvwAA8EEAAODBAADOwgAAlMIAAKDAAACWQgAAAMEAALjBAABwwQAAsMEAAGBBAAAYQgAAOMIAAOzCAACYQQAAoMAAAABAAACKQgAAAEIAAKBAAAC0wgAAIMEAADDBAADQwQAAksIAAADBAAAAwgAAGEIAADBCAACMwgAAwMAAAHBBAACwwgAAJMIAAAAAAABAQAAAcMEAADDBAAAYQgAAhEIAAFBCAABUwgAAAEEAAKDAAACgQAAAYEEAALhBAACEwgAAoEEAAIBAAAAEwgAAuEEAAIDBAADowQAAcEEAACRCAACwQQAABMIAABhCAABAQAAAKMIAAJjBAABEQgAA4EEAAEBAAAAgwgAAVEIAAKDAAADgwQAAkEEAADjCAADIQQAAoEAAAIA_AABAwgAAQMAAAMDBAAB4wgAAAMEAABDCAABgQQAAcMEAAIBCAACAQQAALMIAAFDCAABswgAAIMEAALBBAACIwQAAwEEAADhCAADQQQAAeEIAAMjBAAAswgAA8MEAAADAAADgwAAAuMEAAFxCAACQQgAAqMEAABTCAACIQQAAcEIAAEhCAABwwQAAcMIAAMBAAADQwQAAcMEAAOBBAACYQQAAgMIAAKhBAACgQQAA2sIAAIA_AADYwQAAmEEAABjCAAAAwgAAGEIAAHRCAACAQgAAGEIAAFDBAABsQgAARMIAANBBAACIwQAA8EEAAGDCAABIwgAAiEIAAGhCAABgQgAAUMIAACTCAABQQQAAYEIAAIDAAACowQAAIEEAAIDAAAAAQQAApsIAAGDCAADAQQAAQMAAAExCAACAQAAAgEAAAMDAAABQwQAAXMIgADgTQAlIdVABKo8CEAAagAIAAKC8AAC4vQAAoLwAAKa-AAAEPgAA1j4AADA9AAArvwAAiL0AAAQ-AAAsvgAARL4AAFQ-AACYvQAANL4AAJq-AACCPgAA2D0AAM4-AAAlPwAAfz8AAPg9AABAPAAAsj4AAMg9AACevgAAbD4AALI-AABwPQAAgLsAAOA8AAARvwAApj4AAMg9AADYPQAArr4AAMi9AABcvgAA2r4AALa-AADiPgAAgr4AAMI-AAAkvgAA-r4AABm_AAAEvgAAgLsAAKi9AACyvgAAED0AAEQ-AACGPgAA-j4AABy-AACIPQAAZz8AAMg9AACAuwAA-L0AAFA9AADgPAAAqD0AAK6-IAA4E0AJSHxQASqPAhABGoACAADgvAAAoLwAAAS-AABTvwAAML0AAIo-AACyPgAAcD0AABA9AABQPQAAyD0AANi9AADIvQAAHL4AABA9AABAPAAAqD0AAM4-AACyvgAAbD4AABS-AABwPQAAFL4AAOA8AAAQPQAA2D0AAMg9AADgPAAAqL0AAEA8AAAcPgAAQDwAAIK-AADgvAAA2L0AADC9AACIPQAADD4AANK-AAAMvgAA4LwAAFA9AABkPgAATD4AAFC9AABEvgAAf78AANI-AADoPQAAVD4AAHC9AACoPQAAuD0AAFA9AABQPQAAuD0AAOA8AAA8PgAAED0AAOi9AADIPQAAEL0AADw-AAAEPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=2np3D_3nUtg","parent-reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17584704943886126608"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17359924211602077487":{"videoId":"17359924211602077487","docid":"12-1-13-Z70CD9559010059E7","description":"Kare ve dikdörtgenin alanını hesaplama. Alan ölçme problemleri Metrekare alan hesaplama #matematik #4sınıf #5sınıf #alan...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3472998/0ce37fa024a8c812a36ab382204d3881/564x318_1"},"target":"_self","position":"17","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDHnoGrsLooM","linkTemplate":"/video/preview/17359924211602077487?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"5.Sinif ALAN Hesaplama #alan #5sınıf","related_orig_text":"Alan H","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Alan H\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DHnoGrsLooM\",\"src\":\"serp\",\"rvb\":\"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_wD-wUA7gcBA_kCAAH5AAQJ-v79APEB_wX3AQAA9gH8AfYAAAD4BQICAAAAAPz5Bwv__gAAC_j3_QMAAAAR9gMHAgAAAAIL-Ab-AQAA-Ar-_AMAAAARCQgB_wAAAAL9_gj-AAAABAED_AAAAAD88_3wAAAAACAALc534zs4E0AJSE5QAipzEAAaYB4GACvmCPkV-uPnTiEmKKbS6OwYwQH_CAEAuOrt-B9V6LzfBwAuFAICqgAAABPZDCgeAA9kGBL3FP4BGOTW4hG7fywL-Ac3AOzEElUaVNZJBA0iLADY39vmM_yyIA47MyAALba4Ijs4E0AJSG9QAiqvBhAMGqAGAAAgQQAA4EAAALDBAAAAwQAAkMEAAIjBAACgQgAAUEEAAHDCAAAcwgAA4MAAALBBAACIQQAAoMAAACBBAAA8QgAAgL8AAJLCAACgwAAAwEAAACxCAACQwgAAgEEAAFDBAADAwAAAiEEAAEDBAABIwgAAgMIAAFBBAADQwQAAXEIAAPDBAACQwQAAlMIAAGhCAACQQQAAJEIAAIjBAABswgAAwEEAAFDBAADIQQAAAEEAAJhCAADgwQAAUEEAALJCAABQQQAAAEEAACBBAAB4wgAA-MEAANBBAADgQQAAgD8AAPhBAACwwQAAUEIAAHBCAACAQQAAnMIAAOLCAABcwgAAAEIAAADCAABEQgAAgD8AAKLCAABQQQAAyEEAAABBAAAAwAAAEEIAAHRCAAC4wgAAqMEAANjBAACAwQAAMEIAAODBAACcQgAAksIAAEjCAADAQQAAKEIAAJhBAABwwQAAmEEAAMDBAAA8QgAAREIAAIrCAAAIwgAA8EEAACTCAACoQQAAUEEAAABBAAAMQgAAFMIAAARCAABgQQAAJEIAADDBAAAcwgAAwMEAAOBBAAD4wQAAAEIAAHDBAAD4wQAADEIAAGBCAADwwQAA8MEAAIhCAAA4wgAAAMAAAADAAAAAwQAAQEEAAABBAAC4wQAA6MEAAODAAAAwQgAAgMEAAFDBAADIwQAAEMEAADDCAACWwgAAOEIAAITCAAAEQgAAAEAAABTCAAAsQgAAGMIAAODAAADAwQAAwEAAAIA_AAC4wQAAEEEAAEDCAACEQgAAkMEAAIBAAABUwgAABEIAAMBAAABQwQAAAEIAAPjBAAAcwgAAoMEAAAzCAADYQQAAuEEAAJDBAAAAwQAATEIAAGDBAABAQAAAgEIAAEhCAAAgQgAAGMIAAFDBAAAQwgAAREIAAETCAAAAwAAAnMIAAIBAAACSwgAAUMIAAABBAAAYwgAAEMEAADDCAADoQQAArEIAAFjCAACQwgAAsEEAABBBAAAsQgAACMIAADjCAABoQgAAoEAAABhCAAD-QgAA4EEAAJjBAADYQQAAQEAgADgTQAlIdVABKo8CEAAagAIAAKI-AAAMvgAA6j4AAJi9AACYvQAAij4AAFS-AAANvwAAQLwAAKg9AACaPgAA4DwAAAU_AAAUvgAAXL4AACy-AAAMvgAAmD0AACQ-AAD2PgAAfz8AABy-AAA0PgAAuD0AAGS-AAA0vgAAFD4AALI-AABQPQAABD4AADQ-AAAcvgAADL4AAK4-AACgPAAAmr4AAIA7AAC2vgAA4r4AAJg9AAA0PgAA4r4AAIi9AAAMvgAAbL4AAHC9AABMPgAAFL4AAFS-AACOvgAAmL0AAMg9AADgvAAAjj4AAEy-AAAEPgAAPz8AADA9AAAMvgAAcD0AAOg9AAC-vgAAgDsAAP6-IAA4E0AJSHxQASqPAhABGoACAADgvAAA3r4AANi9AABjvwAAiL0AAOI-AACmPgAAED0AABy-AAAwvQAAMD0AANi9AABQvQAAgDsAAMg9AACAuwAAoLwAABc_AABUvgAAoj4AAFC9AACIPQAAML0AAEA8AACAOwAANL4AABQ-AACAuwAAJD4AAEC8AABMPgAAoLwAAHS-AAAkvgAAdD4AAIA7AAD4PQAAHD4AAN6-AAAQvQAALD4AADQ-AABcPgAAiD0AAEy-AAAEvgAAf78AAK4-AACuPgAAgLsAADS-AADgvAAAmD0AAOg9AACKPgAAFD4AAIg9AABsPgAAED0AADy-AAA0PgAAmD0AACQ-AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=DHnoGrsLooM","parent-reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17359924211602077487"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15172812515435651656":{"videoId":"15172812515435651656","docid":"12-0-16-ZAD74ACB0480D56C0","description":"#türev #AYT #İntegral İntegral de Alan Hesaplama işliyoruz . Türev İntegral 2024 Kampı ile Türev İntegral konularının tamamını anlatıyorum. 💥 Sınav Kazandıran Çözümler : https://bit.ly/3CuFxwN...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2366836/9d122b1362c8b07c54bba3b400c1322d/564x318_1"},"target":"_self","position":"18","reqid":"1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=videoid:15172812515435651656","teaser":[{"list":{"type":"unordered","items":["Bu video, Türev İntegral Kampı'nın 18. dersi olup, bir matematik öğretmeninin öğrencilere integralde alan hesaplama konusunu anlattığı eğitim içeriğidir. Öğretmen, Ozan adında bir öğrencisiyle birlikte soruları çözmektedir.","Videoda, iki eğri arasında kalan bölgenin alanı hesaplama formülü detaylı olarak açıklanmaktadır. Öğretmen önce teorik bilgileri vererek, iki eğrinin kesişim noktalarını bulma, alan hesaplama formülünü (üst fonksiyondan alt fonksiyonu çıkarma) ve x ekseni üzerinde olmayan eğriler için de aynı formülün nasıl kullanılacağını anlatmaktadır. Ardından çeşitli örnekler üzerinden konuyu pekiştirmektedir.","Video, parabol ve doğru arasındaki teğet noktaları, simetrik alanlar ve pratik çözümler gibi konuları da ele almaktadır. Ayrıca, parabol ve doğru arasındaki alan hesaplama için kullanılan formüller (delta kök delta bölü altı a kare) detaylı olarak açıklanmakta ve ÖSYM sınavlarında da kullanılabilecek pratik alan hesaplama formülleri sunulmaktadır. Video, integralin %95'ini tamamladığını belirten ve bayram hediyesi olarak sunulan iki videodan biridir."]},"endTime":1665,"title":"İntegralde Alan Hesaplama Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"İntegralde Alan Hesaplama","list":{"type":"unordered","items":["Türev integral kampının 18. dersi ve integralde 5. ders olarak sunuluyor.","Geçen derste integralde alan hesaplaması yapılmış, bu derste de bu konuya devam edilecek."]},"beginTime":0,"endTime":27,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=0&ask_summarization=1"},{"index":1,"title":"İki Eğri Arasında Alan Hesaplama","list":{"type":"unordered","items":["İki eğri arasında kalan bölgenin alanı hesaplanırken, eğrilerin kesişim noktaları (a ve b) bulunmalıdır.","Kesişim noktaları, f(x) = g(x) denkleminin çözümünden elde edilen reel köklerdir.","Taralı alan, a'dan b'ye üstteki fonksiyondan alttaki fonksiyon çıkarılarak hesaplanır: A = ∫[a,b] (f(x) - g(x)) dx."]},"beginTime":27,"endTime":114,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=27&ask_summarization=1"},{"index":2,"title":"Farklı Eksenlerde Alan Hesaplama","list":{"type":"unordered","items":["Taralı alan hesaplaması için eğrilerin x ekseni üzerinde olması gerekmez, y ekseni üzerinde de olabilir.","Y ekseni üzerinde eğriler için alan hesaplaması aynı formülle yapılır: A = ∫[a,b] (f(x) - g(x)) dx.","Y ekseni ile arasında kalan bölge için alan hesaplaması yapılırken, sağdan sola doğru pozitiften negatife doğru ilerlenir: A = ∫[a,b] (f(x) - g(x)) dx."]},"beginTime":114,"endTime":233,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=114&ask_summarization=1"},{"index":3,"title":"Örnek Soru Çözümü","list":{"type":"unordered","items":["İlk örnek soruda, √x ve 1/x² fonksiyonları arasındaki taralı bölgenin alanı hesaplanıyor.","Kesişim noktaları 1 ve 4 olarak bulunuyor, alan hesaplaması ∫[1,4] (√x - 1/x²) dx formülüyle yapılıyor.","İntegral hesaplandıktan sonra sonuç 47/12 olarak bulunuyor."]},"beginTime":233,"endTime":396,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=233&ask_summarization=1"},{"index":4,"title":"İkinci Örnek Soru Çözümü","list":{"type":"unordered","items":["İkinci örnek soruda, 16/x² ve x² fonksiyonları arasındaki taralı bölgenin alanı hesaplanıyor.","Kesişim noktaları 1 ve 2 olarak bulunuyor, alan hesaplaması ∫[1,2] (16/x² - x²) dx formülüyle yapılıyor.","İntegral hesaplandıktan sonra sonuç 24/17 olarak bulunuyor."]},"beginTime":396,"endTime":507,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=396&ask_summarization=1"},{"index":5,"title":"İki Eğri Arasındaki Alan Hesabı","list":{"type":"unordered","items":["İki eğri arasındaki alan hesaplanırken, x ekseni veya y ekseni yaslama kararı doğru verilmelidir.","Y ekseni yaslama durumunda, fonksiyonun tersi yazılır ve integral hesaplaması yapılır.","Taralı bölgenin alanı için integral hesaplaması yapıldığında, sonuç 7/2 birim kare olarak bulunur."]},"beginTime":514,"endTime":670,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=514&ask_summarization=1"},{"index":6,"title":"Parabol ve Doğru Arasındaki Alan Hesabı","list":{"type":"unordered","items":["Parabol ve doğru arasındaki alan hesaplanırken, x ekseni yaslama daha mantıklıdır çünkü engel çıkmaz.","İki eğrinin kesiştiği noktalar bulunarak integral sınırları belirlenir.","Alan hesaplaması yapıldığında, sonuç 22/3 birim kare olarak bulunur."]},"beginTime":670,"endTime":792,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=670&ask_summarization=1"},{"index":7,"title":"Parabol ve Teğet Doğrunun Alanı","list":{"type":"unordered","items":["Parabol ve teğet doğrunun arasındaki alan hesaplanırken, pratik yöntemler kullanılabilir.","Dikdörtgenin alanı hesaplanarak, parabolün alanı bulunur.","Doğrunun parabole teğet olduğu noktanın apsisi 6 olarak hesaplanır."]},"beginTime":792,"endTime":969,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=792&ask_summarization=1"},{"index":8,"title":"Pratik Alan Hesaplama Yöntemi","list":{"type":"unordered","items":["Parabol ve doğru arasındaki alan hesaplanırken, y ekseni yaslama daha kolaydır.","Pratik yöntemle toplam alan 8 birim kare olarak bulunur.","Pratik yöntemle alan hesaplaması daha hızlı ve kolay bir yöntemdir."]},"beginTime":969,"endTime":1166,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=969&ask_summarization=1"},{"index":9,"title":"Parabol ve Doğru Arasındaki Alan Formülü","list":{"type":"unordered","items":["Parabol ve doğru arasındaki alan hesaplanırken, pratik formül kullanılabilir.","Formül: Taralı alan = √Δ / 6a² şeklindedir.","Formülde sadeleştirme yapılmamalıdır, aynen bırakılmalıdır."]},"beginTime":1166,"endTime":1224,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1166&ask_summarization=1"},{"index":10,"title":"İntegralde Alan Hesaplama","list":{"type":"unordered","items":["Fonksiyon -x² + 8x = 0 şeklinde verilmiş ve delta hesaplanarak 16 bulunmuştur.","Taralı alan hesaplaması için iki yöntem kullanılabilir, ancak formül yöntemi tercih edilmiştir.","Taralı alan hesaplaması için x² - x + 6 = 0 şeklinde denklem kurularak integral alınmış ve sonuç 11/6 birim kare olarak bulunmuştur."]},"beginTime":1229,"endTime":1435,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1229&ask_summarization=1"},{"index":11,"title":"Farklı Fonksiyonlarla Alan Hesaplama","list":{"type":"unordered","items":["x² - x - 6 = 0 şeklinde denklem kurularak delta hesaplanarak 125/6 birim kare bulunmuştur.","y² - y - 2 = 0 şeklinde denklem kurularak delta hesaplanarak 27/6 birim kare bulunmuştur.","x² - 5x + 4 = 0 şeklinde denklem kurularak delta hesaplanarak 9/2 birim kare bulunmuştur."]},"beginTime":1435,"endTime":1644,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1435&ask_summarization=1"},{"index":12,"title":"Video Kapanışı","list":{"type":"unordered","items":["İntegralde alan konusu tamamlanmış ve integralin %95'i tamamlanmıştır.","Bayramdan sonra bir liman toplumu paylaşılacağı belirtilmiştir.","İki video bayramın ilk günü bayram hediyesi olarak sunulmuştur."]},"beginTime":1644,"endTime":1663,"href":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=1644&ask_summarization=1"}],"linkTemplate":"/video/preview/15172812515435651656?parent-reqid=1765307527797441-10586999227541686927-balancer-l7leveler-kubr-yp-klg-56-BAL&text=Alan+H&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"İntegral 05 - 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