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Zor sorular- Çıkmış zor denebilecek...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3819725/437f2b2910f1e422d7d36a7c9ff92693/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/4OmVWQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL","isAdultDoc":false,"relatedParams":{"text":"POLİNOMLAR 2 - Zor sorular- Çıkmış soruların benzerleri - AYT- ÖABT Matematik","related_orig_text":"Bilim Akademi Cengiz Hoca","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Bilim Akademi Cengiz Hoca\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=P7HvBu6QkAI\",\"src\":\"serp\",\"rvb\":\"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-gL-AQAAA_X7CQcJ-wL4AAUK-f39APP4Bv__Av8A9e8K_P4AAAD9BQgK-QAAAPcA9AL6_wAAFgT0APUAAAD-AA_69wAAAPn-9Pr_AQAA9xj8-gIAAAASCggB_wAAAAwEAQX7_wAAEwD-_AEAAADz6fcFAAAAACAALa0-0Ts4E0AJSE5QAiqEAhAAGvABf_cP_9Po4v-79uT_7DrmAKEwJv82P97_x98TAcYY1AD2DfsA5v0AAAoHOwDZBcMBQ_XH__PwFgAn0-_-AOsWAN8UBAEJ4u8CSAMY_xf29wHaDQv9_sgTAPPYrwAJDM7-L_gBAQTM5P718tkGGuQvA_8dGAUWDScE3eMAAOwE-QLJ2sj7KfLyBgPT__nVHCIC-OgLBQL5D_zc8u_8AN_l9v3vBvQIMdL9E8sD_-cNDAnSBP36IyHXBiAs9QHo4_fx8vYoAtXkAPf21RHyIdkD8fQA6QP-4_r3Mw4aCiDW_wjZCe788QnvCub47gLkGt3xIAAtTvwLOzgTQAlIYVACKs8HEAAawAcfvM6-sRKYO0btwDuagpu9qbUXvAMFXr0U2pi9J095PQsRibtJE889IiYXO7Cvdb2hSHe-c1a6PKQ2Mb3LgDM-5tGIvZhiMzx6Fy--CDwwPSmf1LxXsTi-R6V9PKXUCj0Twa48DUEEvYJy27xyHmk9O2pxvby0PL1iUSy9ZFKoPKiWY7xdqbK9wZwqvT0eRLzlgHg9RyFEvRsLDrsgB7o9gpE3vYiynLy3V0s9VnTWu8anIL0RrAU8VlsYPLwq67wJeZM9DdbJPPyOYTzkgz-7fAM9vSsOjDwlF629217BvAshzjqoyjI9fxT1PIk8brxlQ509dzW0vZB2Mr0vhvK9dJB8vP0hrDzkhv89OXb1PIxvnjzc74W93Qn2Pcid67p78pU8AqwhvCPhFr3XitY9cG32O1SLqbopOQw9g3AgPXfYhLyNSiU91iMoPSzzljwHKdg9_1nzvKCJsLxF1Ok8qNHavJxgrLt-3S69KadHPXdJfzuoTow9VhEOPbRsdzxGn6q8N8xpO0GwjzzFNUM9-FENvglvLLv6WKa9y1CQvR2nrrvdwX49vLskPYh7kbyLy5w9pBd6vV94SryprQc9x9UIvabYDzyl_0A82eqyvVOSN7r8MbK9y0GqPQMfQLm_a6e7OsO5PNY1f7wPqXg9qDCLPRgwVLu40gY9CFbVvT66EroMAxY9fQgqvPrUUrvrNzM9MWdRPcZx-Tpru4Q9-7N6vDe5Z7tcMS09jkk1vY0qIrt4jce9AmP9vMe21jfHZxI-rqDpvZAJtLkcegs94sYSPE0vKLqRuni9KJwdPccBCbgC7yk9zRm2vJ0lFTirPZG9GlIVvjBRCjoGlsg8KuQqPeWSEbmTF349NqwpPWUTDjmS5s-9dghSvPjNCDk_Pmm5yQORPDnKArlZHJk9dYVoPeFOjjhDmik7oV66O_m1eTih5a-8VE0VvbUYMbiJRQy9CAT6PW9xOriYtFI7P3DFvfcuYDmdPIa9-sfMPYRhYbmycEg8f-mDPdv9gDeE8gA8oHraPE7vabeHRVY902Wmvb8o9Dbi1_66inqsPdVYlbjK4QO-ENcePJf9TjcOUUC9F8kHvF72kraC1ZI9cwT6vAvfO7ZXwgO8AAiOPIzimjiSXRk-2U9QvazCP7lmgpG9epULvVTUhLd9DPE8EXOEvU2-lTdAkIK9prxxPaB-9bbk1Z68eonxvWVVMLjK9HA9IuErPvHLijiYk2U7gAvSPZjkD7k1bEq9Zd-VPZHUgzfkOaG9UtkjOkQd37cgADgTQAlIbVABKnMQABpgHvMAIBAH194C19EM50AGwaTx7vXkAP8q0_8mHOLNCjPzyBAv_2D8Be6dAAAAMs3e-GAA2H-7B_PyBvD3zbPsKPx1_h5Iq-gaxgj9FwIR2g0A9d9DANb3qPo80YcDWUgeIAAtW8AROzgTQAlIb1ACMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=P7HvBu6QkAI","parent-reqid":"1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["7369299109823569169"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null},"11095655945987375558":{"videoId":"11095655945987375558","docid":"34-3-8-ZCB9DDEFBFC3D307A","description":"Denemelerde ve sınavlarda çıkmış eşit dizi soruların benzerleri. Bu soruları görmenizde fayda var. diziler konu anlatımı 12. sınıf ayt diziler konu anlatımı diziler matematik konu anlatımı...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3070536/c27ceaa89c3bafe31b3fa58394f62391/564x318_1"},"target":"_self","position":"1","reqid":"1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL","isAdultDoc":false,"relatedParams":{"text":"Eşit diziler - diziler çıkmış sorular- eşit diziler ile ilgili sorular - ayt diziler konu anlatımı","related_orig_text":"Bilim Akademi Cengiz Hoca","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Bilim Akademi Cengiz Hoca\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-UdwzDZIjlM\",\"src\":\"serp\",\"rvb\":\"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_wD-wUA-f75BAwF_QH5AAQJ-v79APb_CQAGAv8A7vwD-gP_AAD6_QgEAAAAAAb49wIC_QEADAIG_f0AAAAE-QUA_gAAAP0A_wP_AQAA9wQC-AIAAAAPDf39_wAAAAcM_wD6_wABBAED_AAAAAAE5gH_AQAAACAALc534zs4E0AJSE5QAipzEAAaYCjnAENB7hfgwgrkB-glKte6C_MY7fj_R9AAxAPfvyQm5sgbFgBeBAQgoQAAAAn87Qn_AP193ffW3esW9BjR7voASCA1MugK7PcK2jb0BUsR-DMeSwDRBtQBC76BKCB2JyAALa9jHDs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=-UdwzDZIjlM","parent-reqid":"1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11095655945987375558"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"9251572736598644406":{"videoId":"9251572736598644406","docid":"34-1-12-ZA59C7E9340A91806","description":"akademi cengiz hoca, bilim akademi, ayt diziler, ayt diziler soru çözümü, ayt diziler konu anlatım, ayt diziler konu anlatımı, ayt diziler ful tekrar, ayt diziler tekrar, sabit dizi kavramı, sabit...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2904021/cb7a984e0ecbff9506eb7d195786029e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/09xAQgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=videoid:9251572736598644406","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeni tarafından sunulan eğitim içeriğidir. Öğretmen, tahtada notlar alarak ve örnekler üzerinden konuyu açıklamaktadır.","Video, sabit dizilerin tanımı ve özellikleri üzerine odaklanmaktadır. Öğretmen, sabit dizinin tüm elemanlarının birbirine eşit olması gerektiğini ve genel teriminde n'nin katsayısının sıfır olması gerektiğini açıklamaktadır. Ayrıca, sabit dizinin genel teriminin nasıl bulunacağı ve sabit dizi olup olmadığını kontrol etmek için pratik kurallar verilmektedir.","Videoda ayrıca dizilerin katsayılarını birbirine oranlama yöntemiyle çözümleri gösterilmekte ve sinüs, kosinüs fonksiyonlarının birim çember üzerindeki değerleri kullanılarak sabit dizilerin nasıl tanımlanacağı örneklerle açıklanmaktadır. Özellikle sinüs 2πn, kosinüs 2πn gibi fonksiyonların sabit diziler olup olmadığı birim çember üzerinde gösterilmektedir."]},"endTime":1136,"title":"Sabit Diziler Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Sabit Dizi Kavramı","list":{"type":"unordered","items":["Sabit dizi, bütün elemanları birbirine eşit olan bir dizi olarak tanımlanır.","Sabit dizinin bütün elemanları reel sayılardan oluşmak zorundadır.","Sabit dizi olabilmesi için n'nin katsayısının sıfıra eşit olması gerekir, aksi takdirde elemanlar birbirinden farklı olur."]},"beginTime":0,"endTime":73,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=0&ask_summarization=1"},{"index":1,"title":"Sabit Dizi Örnekleri","list":{"type":"unordered","items":["Tüm terimleri 4, 4, 4 şeklinde devam eden bir dizi sabit dizidir.","Tüm terimleri 1, 1, 1 şeklinde devam eden bir dizi sabit dizidir.","Genel terimi (2n+1) olan bir dizi sabit dizi olamaz çünkü n yerine farklı değerler verildiğinde elemanlar birbirinden farklı olur."]},"beginTime":73,"endTime":216,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=73&ask_summarization=1"},{"index":2,"title":"Sabit Dizi Problemleri","list":{"type":"unordered","items":["Sabit dizide a₄+a₆=14 ise, a₁₀=7 olur çünkü sabit dizinin tüm elemanları birbirine eşittir.","Sabit dizide a₄=2n+4 ve a₇=3k-16 olduğunda, k=20 bulunur ve dizinin tüm elemanları 44 olur.","Sabit dizide genel terim aₙ=x-4 olduğunda, x=4 bulunur ve dizinin tüm elemanları 11 olur."]},"beginTime":216,"endTime":480,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=216&ask_summarization=1"},{"index":3,"title":"Sabit Dizi Özellikleri","list":{"type":"unordered","items":["Sabit dizide genel terim aₙ=(2n+2)/(n+2) şeklinde verildiğinde, n'nin katsayıları sadeleşerek dizinin tüm elemanları 2 olur.","Sabit dizide aₙ=axⁿ+bxⁿ⁻¹+cxⁿ⁻²+dxⁿ şeklinde verildiğinde, a/c=b/d bağıntısı sağlanırsa dizi sabit dizidir.","Sabit dizide aₙ=6x²+2kx+4k+6 şeklinde verildiğinde, k=12 bulunur ve dizi sabit dizidir."]},"beginTime":480,"endTime":624,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=480&ask_summarization=1"},{"index":4,"title":"Matematiksel İfadelerin Eşitliği","list":{"type":"unordered","items":["Matematiksel ifadelerde katsayıların birbirine oranlanması ve sabit sayıların birbirine eşitlenmesi yöntemi kullanılarak b=14 ve c=3 değerleri bulunuyor.","b+c toplamı 17 olarak hesaplanıyor."]},"beginTime":630,"endTime":703,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=630&ask_summarization=1"},{"index":5,"title":"Sabit Diziler","list":{"type":"unordered","items":["Sabit dizi için n katsayısının sıfır olması gerekir.","x-2=0 denkleminden x=2, y-1=0 denkleminden y=1 bulunuyor ve a₄=7 olarak hesaplanıyor.","Eksi dört n katsayısı, artı dört ile birbirini götürerek aₙ=-2 sabit dizisi elde ediliyor."]},"beginTime":703,"endTime":837,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=703&ask_summarization=1"},{"index":6,"title":"Trigonometrik Dizilerin Sabitliği","list":{"type":"unordered","items":["sin(2πn) sabit dizi çünkü tüm elemanları 0'dır ve birim çemberde 360°'da sinüs değeri 0'dır.","(-1)^n dizisi sabit dizi değildir çünkü tek kuvvetler -1, çift kuvvetler 1'dir ve tüm elemanlar birbirine eşit değildir.","(-1)^(2n) dizisi sabit dizi çünkü tüm elemanları 1'dir."]},"beginTime":837,"endTime":1000,"href":"/video/preview/9251572736598644406?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=837&ask_summarization=1"},{"index":7,"title":"Kosinüs Dizilerinin Sabitliği","list":{"type":"unordered","items":["cos(2πn) sabit dizi çünkü tüm elemanları 1'dir ve birim çemberde 2π'de kosinüs değeri 1'dir.","cos(πn) sabit dizi değildir çünkü tüm elemanları birbirine eşit değildir; 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Eğitmen, DGS ve ALES sınavlarında çıkmış oran orantı sorularını çözmektedir.","Videoda eğitmen, çeşitli oran orantı sorularını adım adım çözmektedir. İçler dışlar çarpımı yöntemi kullanılarak çözümler sunulmakta, oran bulma, toplam değer hesaplama ve karışım problemleri ele alınmaktadır. Sorular genellikle a, b, c gibi değişkenler arasındaki ilişkileri içermekte ve pozitif tam sayılar ile gerçek sayılar kullanılmaktadır.","Video sonunda eğitmen, DGS sınavından korkmamanın gerektiğini ve soruların kolay olduğunu belirtmektedir."]},"endTime":1040,"title":"DGS ve ALES Sınavları İçin Oran Orantı Soruları Çözümü","beginTime":0}],"fullResult":[{"index":0,"title":"Oran Orantı Soruları Çözümü","list":{"type":"unordered","items":["DGS ve ALES sınavlarında çıkmış oran orantı sorularına benzer sorular çözülecek.","İlk soruda a+b=7a ve b=3/1 olduğunda c değeri 28 olarak bulunuyor.","İkinci soruda a-b/a ifadesinin değeri 2/3 olarak hesaplanıyor."]},"beginTime":1,"endTime":127,"href":"/video/preview/16110082290863445976?channelId=d3d3LnlvdXR1YmUuY29tO1VDWGU5M0F5NUpnbmJtUFpHYmUzSy13Zw%3D%3D&how=tm&parent-reqid=1751972502167896-15345439452343791299-balancer-l7leveler-kubr-yp-sas-45-BAL&text=Bilim+Akademi+Cengiz+Hoca&t=1&ask_summarization=1"},{"index":1,"title":"Gerçek Sayılarla Oran 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