{"id":3469,"date":"2023-09-25T02:26:38","date_gmt":"2023-09-25T02:26:38","guid":{"rendered":"https:\/\/www.sorumatix.com\/blog\/?p=3469"},"modified":"2023-09-25T02:26:38","modified_gmt":"2023-09-25T02:26:38","slug":"ayt-geometri-ucgende-kenarortay-bagintilari-konu-anlatimi","status":"publish","type":"post","link":"https:\/\/www.sorumatix.com\/blog\/ayt-geometri-ucgende-kenarortay-bagintilari-konu-anlatimi.html","title":{"rendered":"AYT &#8211; Geometri &#8211; \u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131 Konu Anlat\u0131m\u0131"},"content":{"rendered":"<p><center><iframe loading=\"lazy\" width=\"560\" height=\"315\" src=\"https:\/\/www.youtube.com\/embed\/NGRMoQ8bWLY\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe><\/center><html><head><\/head><body><\/p>\n<p>\u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131: Geometri Dersinde \u0130nce Bir Detay<\/p>\n<p>Merhaba gen\u00e7ler! Bug\u00fcn geometrinin heyecan verici d\u00fcnyas\u0131nda sizlere bir konudan bahsedece\u011fim: \u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131. Bu konu, Ayd\u0131n Y\u00fcksek\u00f6\u011fretim S\u0131nav\u0131&#8217;ndaki (AYT) geometri b\u00f6l\u00fcm\u00fcnde kar\u015f\u0131n\u0131za \u00e7\u0131kabilecek \u00f6nemli bir detayd\u0131r. Hadi gelin, \u00fc\u00e7genlerin d\u00fcnyas\u0131na beraber bir yolculuk yapal\u0131m!<\/p>\n<p>1. \u00dc\u00e7gen Nedir?<\/p>\n<p>Geometride, \u00fc\u00e7gen en basit \u015fekilde 3 noktan\u0131n birle\u015fti\u011fi bir \u00e7okgendir. \u00dc\u00e7genin kenarlar\u0131 ve a\u00e7\u0131lar\u0131, farkl\u0131 \u00f6zelliklere sahiptir. \u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131 da bu \u00f6zelliklerden biridir.<\/p>\n<p>2. Kenarortay Noktas\u0131 Nedir?<\/p>\n<p>Bir \u00fc\u00e7genin kenarlar\u0131n\u0131n orta noktalar\u0131, o \u00fc\u00e7genin kenarortay noktalar\u0131n\u0131 olu\u015fturur. Her bir kenar\u0131n orta noktas\u0131n\u0131n birle\u015fti\u011fi nokta, \u00fc\u00e7genin i\u00e7inde yer al\u0131r ve kenarortay noktas\u0131 olarak adland\u0131r\u0131l\u0131r.<\/p>\n<p>3. Kenarortay Ba\u011f\u0131nt\u0131lar\u0131 Nelerdir?<\/p>\n<p>\u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131, \u00fc\u00e7genin kenarlar\u0131n\u0131n uzunluklar\u0131n\u0131 kullanarak kenarortay noktalar\u0131 aras\u0131ndaki ili\u015fkileri ifade eder. \u0130\u015fte en \u00f6nemli kenarortay ba\u011f\u0131nt\u0131lar\u0131:<\/p>\n<p>a) Bir \u00fc\u00e7genin kenarortay noktalar\u0131ndan ge\u00e7en do\u011frultular\u0131n, \u00fc\u00e7genin kar\u015f\u0131l\u0131k gelen kenarlar\u0131n\u0131 e\u015fit bi\u00e7imde b\u00f6ld\u00fc\u011f\u00fcn\u00fc d\u00fc\u015f\u00fcnelim.<\/p>\n<p>b) Kenarortay noktalar\u0131ndan ge\u00e7en do\u011frultular\u0131n kesim oranlar\u0131, \u00fc\u00e7genin kenar uzunluklar\u0131na g\u00f6re belirlenir.<\/p>\n<p>c) \u00d6rne\u011fin, bir \u00fc\u00e7genin AB kenar\u0131n\u0131n orta noktas\u0131 M ise, kenarortay ba\u011f\u0131nt\u0131s\u0131na g\u00f6re, AM = (1\/2)AB olur.<\/p>\n<p>d) Bu ba\u011f\u0131nt\u0131lar, \u00fc\u00e7genin di\u011fer kenarlar\u0131 i\u00e7in de ge\u00e7erlidir. Yani BC ve AC kenarlar\u0131n\u0131n orta noktalar\u0131na da ayn\u0131 ba\u011f\u0131nt\u0131 uygulan\u0131r.<\/p>\n<p>4. Kenarortay Ba\u011f\u0131nt\u0131lar\u0131n\u0131n \u00d6zellikleri<\/p>\n<p>Kenarortay ba\u011f\u0131nt\u0131lar\u0131yla ilgili baz\u0131 \u00f6zellikler \u015funlard\u0131r:<\/p>\n<p>a) Kenarortay noktalar\u0131, \u00fc\u00e7genin a\u011f\u0131rl\u0131k merkezini olu\u015fturur. Bu nokta, \u00fc\u00e7genin i\u00e7inde yer al\u0131r ve \u00e7e\u015fitli denklemlerle ifade edilebilir.<\/p>\n<p>b) Kenarortay noktalar\u0131ndan ge\u00e7en do\u011frultular, herhangi bir \u00fc\u00e7gende ayn\u0131 noktada kesi\u015fir. Bu noktaya \u00fc\u00e7genin kenarortay noktalar\u0131n\u0131n perspektif merkezi denir.<\/p>\n<p><center><img decoding=\"async\" src=\"https:\/\/www.sorumatix.com\/blog\/wp-content\/uploads\/2023\/09\/uploaded-image-ayt-geometri-ucgende-kenarortay-bagintilari-konu-anlatimi-1694518049198.jpg\" title=\"AYT - Geometri - \u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131 Konu Anlat\u0131m\u0131 \" alt=\"AYT - Geometri - \u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131 Konu Anlat\u0131m\u0131 \"><\/center><\/p>\n<p>c) Kenarortay ba\u011f\u0131nt\u0131lar\u0131, \u00fc\u00e7genin simetrisini de g\u00f6sterir. Yani, bir \u00fc\u00e7gendeki kenar uzunluklar\u0131na uygulanan kenarortay ba\u011f\u0131nt\u0131s\u0131, di\u011fer \u00fc\u00e7genlerde de ge\u00e7erli olacakt\u0131r.<\/p>\n<p>5. Uygulama ve \u00d6rnekler<\/p>\n<p>\u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131, pratikte \u00e7e\u015fitli problemlerin \u00e7\u00f6z\u00fcm\u00fcnde kullan\u0131l\u0131r. \u00d6rne\u011fin, \u00fc\u00e7genin kenarlar\u0131n\u0131n uzunluklar\u0131 verildi\u011finde, kenarortay ba\u011f\u0131nt\u0131lar\u0131 kullan\u0131larak \u00fc\u00e7genin i\u00e7 a\u00e7\u0131lar\u0131 veya alan\u0131 bulunabilir.<\/p>\n<p>Bu \u00f6rnekleri daha iyi anlamak i\u00e7in pratik yapmak \u00f6nemlidir. Geometri derslerinde soru bankalar\u0131ndaki problemleri \u00e7\u00f6zmek ve kenarortay ba\u011f\u0131nt\u0131lar\u0131n\u0131 kullanmak, bu konuyu<\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dc\u00e7gende Kenarortay Ba\u011f\u0131nt\u0131lar\u0131: Geometri Dersinde \u0130nce Bir Detay Merhaba gen\u00e7ler! Bug\u00fcn geometrinin heyecan verici d\u00fcnyas\u0131nda sizlere bir konudan bahsedece\u011fim: \u00dc\u00e7gende<\/p>\n","protected":false},"author":1,"featured_media":3465,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_container_layout":"default_layout","colormag_page_sidebar_layout":"default_layout","footnotes":""},"categories":[3],"tags":[],"class_list":["post-3469","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematik-dersleri"],"_links":{"self":[{"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/posts\/3469","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/comments?post=3469"}],"version-history":[{"count":0,"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/posts\/3469\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/media\/3465"}],"wp:attachment":[{"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/media?parent=3469"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/categories?post=3469"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.sorumatix.com\/blog\/wp-json\/wp\/v2\/tags?post=3469"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}