{"id":713,"date":"2023-09-30T18:36:45","date_gmt":"2023-09-30T18:36:45","guid":{"rendered":"https:\/\/www.matematikazavsicki.com\/tr\/?p=713"},"modified":"2023-09-30T18:36:46","modified_gmt":"2023-09-30T18:36:46","slug":"kuresel-ayna","status":"publish","type":"post","link":"https:\/\/www.matematikazavsicki.com\/tr\/kuresel-ayna\/","title":{"rendered":"K\u00fcresel Ayna"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">K\u00fcresel bir ayna, \u0131\u015f\u0131k \u0131\u015f\u0131nlar\u0131n\u0131 sapt\u0131rabilen (yans\u0131tan) g\u00fczelce cilalanm\u0131\u015f, p\u00fcr\u00fczs\u00fcz, k\u00fcresel bir y\u00fczeydir. K\u00fcresel bir ayna, <a href=\"https:\/\/www.matematikazavsicki.com\/tr\/category\/fizik\/\">fizi\u011fin<\/a> bir par\u00e7as\u0131 olan optik alan\u0131nda incelenen optik bir cihazd\u0131r. Bu sayfadaki video, ne t\u00fcr k\u00fcresel aynalar\u0131n bulundu\u011funu, bunlar\u0131n en \u00f6nemli par\u00e7alar\u0131n\u0131n ve i\u015faretlerinin neler oldu\u011funu daha kolay anlaman\u0131za yard\u0131mc\u0131 olacakt\u0131r.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Ayr\u0131ca videoda yap\u0131c\u0131 ve say\u0131sal kurallar, t\u00fcm olas\u0131 yap\u0131c\u0131 g\u00f6revler ve iki matematiksel say\u0131sal g\u00f6rev \u00f6rne\u011fi yer almaktad\u0131r. Videonun alt\u0131nda belirli ek a\u00e7\u0131klamalar i\u00e7eren ek bilgiler bulunmaktad\u0131r.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"526\" height=\"315\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-Ayna.jpg\" alt=\"K\u00fcresel Ayna\" class=\"wp-image-723\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-Ayna.jpg 526w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-Ayna-300x180.jpg 300w\" sizes=\"auto, (max-width: 526px) 100vw, 526px\" \/><\/figure>\n<\/div>\n\n\n<h2 class=\"wp-block-heading\">K\u00fcresel Ayna \u00c7e\u015fitleri<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">\u0130ki ana k\u00fcresel ayna t\u00fcr\u00fc vard\u0131r:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0130\u00e7b\u00fckey k\u00fcresel ayna (i\u00e7b\u00fckey)<\/li>\n\n\n\n<li>\u00c7\u0131k\u0131nt\u0131l\u0131 k\u00fcresel ayna (d\u0131\u015fb\u00fckey)<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">K\u00fcresel bir ayna, e\u011fer k\u00fcresel y\u00fczeyin i\u00e7 taraf\u0131 g\u00fczelce cilalanm\u0131\u015fsa ve \u0131\u015f\u0131k \u0131\u015f\u0131nlar\u0131n\u0131 yans\u0131tabiliyorsa i\u00e7b\u00fckeydir (i\u00e7b\u00fckey), d\u0131\u015f taraf ayn\u0131 kriteri kar\u015f\u0131l\u0131yorsa ayna d\u0131\u015fb\u00fckeydir (d\u0131\u015fb\u00fckey).<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Belirli bir nesnenin k\u00fcresel aynada g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fcn olu\u015fumu:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Bir nesneden yans\u0131yan \u0131\u015f\u0131nlar daha <a href=\"https:\/\/www.aa.com.tr\/tr\/gundem\/kuresel-yuzey-sicakligi-1970den-bu-yana-daha-hizli-yukseliyor\/2896945\">sonra<\/a> k\u00fcresel bir ayna taraf\u0131ndan yans\u0131t\u0131l\u0131rsa ve \u015fu \u015fekilde bir g\u00f6r\u00fcnt\u00fc olu\u015fturursa:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Ger\u00e7ek bir karakter<\/li>\n\n\n\n<li>Hayali (ger\u00e7ek d\u0131\u015f\u0131) karakter<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Ger\u00e7ek g\u00f6r\u00fcnt\u00fc, k\u00fcresel aynadan yans\u0131yan ger\u00e7ek \u0131\u015f\u0131nlar\u0131n kesi\u015fiminde elde edilen g\u00f6r\u00fcnt\u00fc iken, yans\u0131ma sonras\u0131nda birbiriyle kesi\u015fmeyen ger\u00e7ek \u0131\u015f\u0131nlar\u0131n uzant\u0131lar\u0131nda hayali (ger\u00e7ek d\u0131\u015f\u0131) g\u00f6r\u00fcnt\u00fc elde edilir. \u0130\u00e7b\u00fckey k\u00fcresel ayna ile nesne ile optik cihaz aras\u0131ndaki mesafeye ba\u011fl\u0131 olarak ger\u00e7ek veya hayali bir g\u00f6r\u00fcnt\u00fc elde edilebilirken, d\u0131\u015fb\u00fckey k\u00fcresel ayna ile elde edilen herhangi bir g\u00f6r\u00fcnt\u00fc ger\u00e7ek d\u0131\u015f\u0131d\u0131r (hayali).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">K\u00fcresel Aynan\u0131n \u00d6nemli Par\u00e7alar\u0131 Ve I\u015faretleri<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">K\u00fcresel ayna hakk\u0131nda bilinmesi gereken \u00f6nemli terimler, par\u00e7alar, noktalar ve semboller \u015funlard\u0131r:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>C (O) &#8211; ana optik merkez (e\u011frili\u011fin merkezi)<\/li>\n\n\n\n<li>Ana optik eksen &#8211; ana optik merkezi ve tepe noktas\u0131n\u0131 birbirine ba\u011flar<\/li>\n\n\n\n<li>T &#8211; tepe noktas\u0131 &#8211; k\u00fcresel aynan\u0131n ve ana optik eksenin kesi\u015fti\u011fi yer<\/li>\n\n\n\n<li>F &#8211; odak &#8211; tepe noktas\u0131 ile ana optik merkez aras\u0131nda ortada bulunur<\/li>\n\n\n\n<li>R &#8211; yar\u0131\u00e7ap &#8211; ana optik merkezden tepe noktas\u0131na olan mesafe<\/li>\n\n\n\n<li>f &#8211; odak uzakl\u0131\u011f\u0131 &#8211; odak noktas\u0131ndan tepe noktas\u0131na kadar olan mesafe (yar\u0131\u00e7ap\u0131n yar\u0131s\u0131na e\u015fit)<\/li>\n\n\n\n<li>p &#8211; nesneden aynaya olan mesafe<\/li>\n\n\n\n<li>l &#8211; g\u00f6r\u00fcnt\u00fcden aynaya olan mesafe<\/li>\n\n\n\n<li>P &#8211; bir nesnenin y\u00fcksekli\u011fi<\/li>\n\n\n\n<li>L &#8211; karakter y\u00fcksekli\u011fi<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Karakteristik I\u015f\u0131nlar<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">K\u00fcresel aynalardan her zaman ayn\u0131 \u015fekilde yans\u0131yan \u0131\u015f\u0131nlar vard\u0131r. Bu \u0131\u015f\u0131nlar iki farkl\u0131 k\u00fcresel ayna tipinde benzerdir ancak aralar\u0131nda bir ayr\u0131m yap\u0131lmas\u0131 gerekir.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u0130\u00e7b\u00fckey k\u00fcresel ayna i\u00e7in:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>K\u0131r\u0131ld\u0131ktan sonra ana optik eksene paralel hareket eden \u0131\u015f\u0131n odaktan ge\u00e7er.<\/li>\n\n\n\n<li>Odaktan ge\u00e7en \u0131\u015f\u0131n k\u0131r\u0131ld\u0131ktan sonra ana optik eksene paralel gider.<\/li>\n\n\n\n<li>K\u0131r\u0131ld\u0131ktan sonra ana optik merkezden ge\u00e7en \u0131\u015f\u0131n ayn\u0131 y\u00f6nde geri d\u00f6ner.<\/li>\n\n\n\n<li>Tepe noktas\u0131na \u00e7arpan \u0131\u015f\u0131n, ana optik eksenin kar\u015f\u0131 taraf\u0131ndan ayn\u0131 a\u00e7\u0131yla yans\u0131t\u0131l\u0131r.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">D\u0131\u015fb\u00fckey k\u00fcresel ayna i\u00e7in:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>K\u0131r\u0131lma sonras\u0131nda asal optik eksene paralel hareket eden \u0131\u015f\u0131n, sanki odak noktas\u0131ndan geliyormu\u015f gibi bir y\u00f6n al\u0131r.<\/li>\n\n\n\n<li>Y\u00f6n\u00fc k\u0131r\u0131ld\u0131ktan sonra odak noktas\u0131ndan ge\u00e7ecekmi\u015f gibi olan \u0131\u015f\u0131n, ana optik eksene paralel gider.<\/li>\n\n\n\n<li>Y\u00f6n\u00fc ana optik merkezden ge\u00e7ecekmi\u015f gibi olan \u0131\u015f\u0131n, yans\u0131d\u0131ktan sonra ayn\u0131 y\u00f6ne geri d\u00f6ner.<\/li>\n\n\n\n<li>Tepe noktas\u0131na \u00e7arpan \u0131\u015f\u0131n, ana optik eksenin kar\u015f\u0131 taraf\u0131ndan ayn\u0131 a\u00e7\u0131yla yans\u0131t\u0131l\u0131r.<\/li>\n<\/ol>\n\n\n\n<p class=\"wp-block-paragraph\">Karakteristik \u0131\u015f\u0131nlar\u0131 kullanarak, belirli bir nesnenin uygun bir k\u00fcresel aynadaki g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fcn konumu ve boyutu yap\u0131yla belirlenebilir. Video t\u00fcm olas\u0131 in\u015faat g\u00f6revlerini i\u00e7erir:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Nesne k\u00fcresel aynan\u0131n yar\u0131\u00e7ap mesafesinden daha b\u00fcy\u00fck bir mesafede bulunuyor<\/li>\n\n\n\n<li>Nesne tam olarak ana optik merkezde bulunuyor<\/li>\n\n\n\n<li>Nesnenin konumu ana optik merkez ile odak aras\u0131ndad\u0131r<\/li>\n\n\n\n<li>Konu tam odak noktas\u0131nda<\/li>\n\n\n\n<li>Nesne odak ile tepe noktas\u0131 aras\u0131nda yer al\u0131r<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Yukar\u0131da bahsedilen be\u015f farkl\u0131 yap\u0131 i\u00e7b\u00fckey ayna i\u00e7in ge\u00e7erlidir. Video ayn\u0131 zamanda belirli bir nesnenin g\u00f6r\u00fcnt\u00fcs\u00fcn\u00fcn d\u0131\u015fb\u00fckey (d\u0131\u015fb\u00fckey) bir aynada nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 a\u00e7\u0131klayan alt\u0131nc\u0131 yap\u0131y\u0131 da i\u00e7eriyor.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">K\u00fcresel Bir Ayna I\u00e7in Matematiksel Say\u0131sal Problemler<\/h4>\n\n\n\n<p class=\"wp-block-paragraph\">Yap\u0131ya ek olarak, nesnenin ve \u015feklin k\u00fcresel aynaya g\u00f6re konumu matematiksel form\u00fcl kullan\u0131larak belirlenebilir:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-ayna-formulu.jpg\" alt=\"K\u00fcresel ayna form\u00fcl\u00fc\" class=\"wp-image-725\" style=\"width:180px;height:108px\" width=\"180\" height=\"108\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-ayna-formulu.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-ayna-formulu-300x179.jpg 300w\" sizes=\"auto, (max-width: 180px) 100vw, 180px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">K\u00fcresel ayna form\u00fcl\u00fcn\u00fc uygun d\u00f6n\u00fc\u015f\u00fcm\u00fcyle birlikte kullanarak, p veya l&#8217;nin elde edilebilece\u011fi form\u00fclleri elde ederiz:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"103\" src=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-ayna-formulunun-donusumu.jpg\" alt=\"K\u00fcresel ayna form\u00fcl\u00fcn\u00fcn d\u00f6n\u00fc\u015f\u00fcm\u00fc\" class=\"wp-image-728\" srcset=\"https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-ayna-formulunun-donusumu.jpg 500w, https:\/\/www.matematikazavsicki.com\/tr\/wp-content\/uploads\/2023\/09\/Kuresel-ayna-formulunun-donusumu-300x62.jpg 300w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Herhangi bir g\u00f6revde sonu\u00e7 olumlu ise o durumda elde edilen karakterin rales oldu\u011fu anlam\u0131na gelir. Olumsuz bir sonu\u00e7 elde edilirse karakter hayalidir (ger\u00e7ek d\u0131\u015f\u0131d\u0131r).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n<form role=\"search\" method=\"get\" action=\"https:\/\/www.matematikazavsicki.com\/tr\/\" class=\"wp-block-search__button-outside wp-block-search__icon-button wp-block-search\"    ><label class=\"wp-block-search__label\" for=\"wp-block-search__input-1\" >Gerekli malzemeyi kolayca bulun! A\u015fa\u011f\u0131daki pencereye matematik terimini girin ve aray\u0131n!<\/label><div class=\"wp-block-search__inside-wrapper\" ><input class=\"wp-block-search__input\" id=\"wp-block-search__input-1\" placeholder=\"Ne \u00e7al\u0131\u015fmak istiyorsun?\" value=\"\" type=\"search\" name=\"s\" required \/><button aria-label=\"Search\" class=\"wp-block-search__button has-icon wp-element-button\" type=\"submit\" ><svg class=\"search-icon\" viewBox=\"0 0 24 24\" width=\"24\" height=\"24\">\n\t\t\t\t\t<path d=\"M13 5c-3.3 0-6 2.7-6 6 0 1.4.5 2.7 1.3 3.7l-3.8 3.8 1.1 1.1 3.8-3.8c1 .8 2.3 1.3 3.7 1.3 3.3 0 6-2.7 6-6S16.3 5 13 5zm0 10.5c-2.5 0-4.5-2-4.5-4.5s2-4.5 4.5-4.5 4.5 2 4.5 4.5-2 4.5-4.5 4.5z\"><\/path>\n\t\t\t\t<\/svg><\/button><\/div><\/form>\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">www.mathematikazavsicki.com\/tr\/&#8217;u takip edin!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">www.matematikazavsicki.com\/tr\/&#8217;un Facebook, Instagram, Twitter ve Youtube profillerine a\u015fa\u011f\u0131daki butonlar\u0131 kullanarak ba\u011flanarak gelecekte yay\u0131nlanacak bilgi ve materyalleri takip edebilirsiniz.<\/p>\n\n\n\n<div class=\"wp-block-wpzoom-blocks-social-icons is-style-with-canvas-round\" style=\"--wpz-social-icons-block-item-font-size:65px;--wpz-social-icons-block-item-padding-horizontal:6px;--wpz-social-icons-block-item-padding-vertical:6px;--wpz-social-icons-block-item-margin-horizontal:5px;--wpz-social-icons-block-item-margin-vertical:5px;--wpz-social-icons-block-item-border-radius:50px;--wpz-social-icons-block-label-font-size:16px;--wpz-social-icons-block-label-color:#2e3131;--wpz-social-icons-block-label-color-hover:#2e3131;--wpz-social-icons-alignment:center\"><a href=\"https:\/\/www.facebook.com\/matematikazasite\" class=\"social-icon-link\" title=\"Facebook\" style=\"--wpz-social-icons-block-item-color:#1877F2;--wpz-social-icons-block-item-color-hover:#1877F2\"><span class=\"social-icon socicon socicon-facebook\"><\/span><\/a><a href=\"https:\/\/twitter.com\/sr89BgRn0zh5VpL\" class=\"social-icon-link\" title=\"Twitter\" style=\"--wpz-social-icons-block-item-color:#1da1f2;--wpz-social-icons-block-item-color-hover:#1da1f2\"><span class=\"social-icon socicon socicon-twitter\"><\/span><\/a><a href=\"https:\/\/www.instagram.com\/matematikazasite\/\" class=\"social-icon-link\" title=\"Instagram\" style=\"--wpz-social-icons-block-item-color:#E4405F;--wpz-social-icons-block-item-color-hover:#E4405F\"><span class=\"social-icon socicon socicon-instagram\"><\/span><\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>K\u00fcresel bir ayna, \u0131\u015f\u0131k \u0131\u015f\u0131nlar\u0131n\u0131 sapt\u0131rabilen (yans\u0131tan) g\u00fczelce cilalanm\u0131\u015f, p\u00fcr\u00fczs\u00fcz, k\u00fcresel bir y\u00fczeydir. K\u00fcresel bir ayna, fizi\u011fin bir par\u00e7as\u0131 olan optik alan\u0131nda incelenen optik bir cihazd\u0131r. Bu sayfadaki video, ne [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":723,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[132,133,134,5,6,14],"tags":[257,256],"class_list":["post-713","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-10-sinif-matematik","category-11-sinif-matematik","category-12-sinif-matematik","category-8-sinif-matematik","category-9-sinif-matematik","category-fizik","tag-ayna","tag-kuresel"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>K\u00fcresel Ayna<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.matematikazavsicki.com\/tr\/kuresel-ayna\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"K\u00fcresel Ayna\" \/>\n<meta property=\"og:description\" content=\"K\u00fcresel bir ayna, \u0131\u015f\u0131k \u0131\u015f\u0131nlar\u0131n\u0131 sapt\u0131rabilen (yans\u0131tan) g\u00fczelce cilalanm\u0131\u015f, p\u00fcr\u00fczs\u00fcz, k\u00fcresel bir y\u00fczeydir. K\u00fcresel bir ayna, fizi\u011fin bir par\u00e7as\u0131 olan optik alan\u0131nda incelenen optik bir cihazd\u0131r. 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