{"id":43106,"date":"2022-06-15T21:06:02","date_gmt":"2022-06-15T18:06:02","guid":{"rendered":"https:\/\/kutaybilen.com.tr\/?p=43106"},"modified":"2022-06-15T21:06:02","modified_gmt":"2022-06-15T18:06:02","slug":"analitik-geometrinin-hoslugunu-kanitlayan-10-formul","status":"publish","type":"post","link":"https:\/\/kutaybilen.com.tr\/?p=43106","title":{"rendered":"Analitik Geometrinin Ho\u015flu\u011funu Kan\u0131tlayan 10 Form\u00fcl"},"content":{"rendered":"<p>Teknolojinin yan\u0131 s\u0131ra ge\u00e7mi\u015ften g\u00fcn\u00fcm\u00fczde kadar olan s\u00fcre\u00e7te de g\u00fcnl\u00fck hayat\u0131m\u0131za olan tesiri b\u00fcy\u00fck. G\u00fcn\u00fcm\u00fczde zira\u00ee alanlar\u0131n planlanmas\u0131ndan uzay istasyonlar\u0131n\u0131n y\u00f6r\u00fcngelerine kadar geni\u015f bir kullan\u0131m alan\u0131na sahip. Biz de sizler i\u00e7in tan\u0131nan olan 10 analitik geometri form\u00fcl\u00fcn\u00fc listeledik.<\/p>\n<p><b>Analitik Geometri Form\u00fclleri:<\/b><\/p>\n<ul>\n<li>Do\u011frunun e\u011fimi<\/li>\n<li>Do\u011fru ile nokta ortas\u0131ndaki dik uzakl\u0131k<\/li>\n<li>Eksenleri kesti\u011fi noktalar\u0131 muhakkak olan do\u011frunun denklemi<\/li>\n<li>Do\u011fru demeti<\/li>\n<li>Kesi\u015fen iki hakikat ortas\u0131ndaki a\u00e7\u0131<\/li>\n<li>Analitik bir yap\u0131y\u0131 d\u00f6nd\u00fcrme ve \u00f6teleme<\/li>\n<li>D\u00f6rtgenin alan\u0131<\/li>\n<li>\u00dc\u00e7genin alan\u0131<\/li>\n<li>Homojen d\u00fczlemsel bir cismin y\u00fck merkezi<\/li>\n<li>Genel konik denklemi<\/li>\n<\/ul>\n<p><b>Do\u011frunun e\u011fimi<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/18b2210776308b5b6be349d0aeb5a677a349631a.png\"\/><\/p>\n<p>Bir <strong>do\u011frunun e\u011fimi,<\/strong> do\u011frunun yatayl\u0131\u011f\u0131n\u0131 ve birebir vakitte paha de\u011fi\u015fimini tabir eder.<\/p>\n<p><b>Do\u011fru ile nokta ortas\u0131ndaki dik uzakl\u0131k<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/c4a7f270803890d1c3bf4d02b427bbbd00d1b7ca.png\"\/><\/p>\n<p>Matematikte, <strong>uzakl\u0131k birden fazla bi\u00e7imde tan\u0131mlanabilir. <\/strong>Bu karma\u015fay\u0131 engellemek i\u00e7in dik uzakl\u0131k kullan\u0131l\u0131r. \u0130ki nokta ortas\u0131ndaki uzakl\u0131ktan t\u00fcretilebilen bu form\u00fcl \u00fcstteki \u00fczere tabir edilir.<\/p>\n<p><b>Eksenleri kesti\u011fi noktalar\u0131 belirli olan do\u011frunun denklemi<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/2006c49e913f0adea5df253be852093bf8d145a6.png\"\/><\/p>\n<p>Bir do\u011fruyu analitik d\u00fczlemde tabir etmek i\u00e7in kimi datalara gereksinimimiz var. \u015eayet <strong>eksenlerin kesti\u011fi noktalar\u0131 bilirsek <\/strong>do\u011fruyu \u00fcstteki \u00fczere s\u00f6z edebiliriz.<\/p>\n<p><b>Do\u011fru Demeti<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/e7a91b66cea5d1229962d4209ed8f724f0b38495.png\"\/><\/p>\n<p>Bir noktada kesi\u015fen <strong>n tane do\u011frunun form\u00fcl\u00fcn\u00fc bilirsek<\/strong>, o noktadan ge\u00e7en sonsuz tane yanl\u0131\u015fs\u0131z bulmam\u0131z m\u00fcmk\u00fcn olur.<\/p>\n<p><b>Kesi\u015fen iki hakikat ortas\u0131ndaki a\u00e7\u0131<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/069ad1d316f3c04b1fae02ccb354db99a488f592.png\"\/><\/p>\n<p>Bir\u00e7ok geometrik formu yorumlamam\u0131z sa\u011flayan \u015feylerden biri de a\u00e7\u0131lard\u0131r. Burada da pek \u00e7ok geometrik bi\u00e7imin temelini g\u00f6r\u00fcyoruz.<\/p>\n<p><b>Analitik bir yap\u0131y\u0131 d\u00f6nd\u00fcrme ve \u00f6teleme<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/da54e10930a7cc7e520f6c30812a55e1b0617d45.png\"\/><\/p>\n<p><strong>Analitik bir d\u00fczlemde s\u00f6z edebildi\u011fimiz <\/strong>herhangi bir \u015feyi istedi\u011fimiz yere \u00f6teleyebilir ve istedi\u011fimiz dereceyle d\u00f6nd\u00fcrebiliriz.<\/p>\n<p><b>D\u00f6rtgenin alan\u0131<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/ae47e8a53656e910f9ccfb029c6f9e0df0044962.png\"\/><\/p>\n<p>\u00d6zellikle, arazi \u00f6l\u00e7\u00fcmleri ve zira\u00ee alanlar\u0131n tasarlanmas\u0131nda s\u0131k s\u0131k <strong>alan hesaplar\u0131ndan<\/strong> faydalan\u0131l\u0131r. Ge\u00e7mi\u015f uygarl\u0131klarda verimli ekin yapmak i\u00e7in kullan\u0131ld\u0131\u011f\u0131 da g\u00f6r\u00fclm\u00fc\u015ft\u00fcr.<\/p>\n<p><b>\u00dc\u00e7genin alan\u0131<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/956b2036cdfdecb04f5a142add2d477234a5e33d.png\"\/><\/p>\n<p>Matematikte birtak\u0131m operat\u00f6rleri farkl\u0131 hedeflerle da kullanabiliriz, \u00fc\u00e7 k\u00f6\u015fesi verilen bir \u00fc\u00e7genin alan\u0131n\u0131 da multi-lineer bir i\u015flev olan <strong>determinant <\/strong>ile \u00fcstteki \u00fczere hesaplayabiliriz.<\/p>\n<p><b>Homojen d\u00fczlemsel bir cismin tart\u0131 merkezi<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/5e17cc4dfb99a7c0da45d9dac517ce48b378e958.png\"\/><\/p>\n<p>Herhangi n say\u0131da mod\u00fclden olu\u015fan<strong> homojen d\u00fczlemsel bir cismin,<\/strong> se\u00e7ilen bir eksen grubuna nazaran y\u00fck merkezi yeri olan (X, Y) noktas\u0131 \u00fcstteki ba\u011f\u0131nt\u0131lar ile hesaplanabilir.<\/p>\n<p><b>Genel konik denklemi<\/b><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/www.webtekno.com\/images\/editor\/default\/0003\/16\/52eefb54d72d876b1aab6ddd86ee14ca58d60a47.png\"\/><\/p>\n<p><strong>Parabol, \u00e7ember, elips ve hiperbol<\/strong> \u00fczere konik yap\u0131lar asl\u0131nda bir koninin kesitleridir. \u00dcstteki form\u00fcl ile b\u00fct\u00fcn bu konik yap\u0131lar\u0131 s\u00f6z edebiliriz.<\/p>\n<div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Teknolojinin yan\u0131 s\u0131ra ge\u00e7mi\u015ften g\u00fcn\u00fcm\u00fczde kadar olan s\u00fcre\u00e7te de g\u00fcnl\u00fck hayat\u0131m\u0131za olan tesiri b\u00fcy\u00fck. G\u00fcn\u00fcm\u00fczde zira\u00ee alanlar\u0131n planlanmas\u0131ndan &#8230;<\/p>\n","protected":false},"author":1,"featured_media":43107,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[851],"tags":[2299,1437,5152,1102,1614],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/43106"}],"collection":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=43106"}],"version-history":[{"count":1,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/43106\/revisions"}],"predecessor-version":[{"id":43108,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/posts\/43106\/revisions\/43108"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=\/wp\/v2\/media\/43107"}],"wp:attachment":[{"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=43106"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=43106"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/kutaybilen.com.tr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=43106"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}