{"id":3961,"date":"2026-10-14T19:35:08","date_gmt":"2026-10-14T18:35:08","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/iki-nokta-arasi-uzaklik-hesaplama\/"},"modified":"2026-10-14T19:35:08","modified_gmt":"2026-10-14T18:35:08","slug":"iki-nokta-arasi-uzaklik-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/iki-nokta-arasi-uzaklik-hesaplama\/","title":{"rendered":"\u0130ki Nokta Aras\u0131ndaki Uzakl\u0131k Hesaplama Arac\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">\u0130ki Nokta Aras\u0131ndaki Mesafeyi Bulun<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3961\" data-favorite-title=\"\u0130ki Nokta Aras\u0131ndaki Uzakl\u0131k\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/iki-nokta-arasi-uzaklik-hesaplama\/\" data-favorite-excerpt=\"\u0130ki noktan\u0131n koordinatlar\u0131n\u0131 girin; d\u00fcz hat \u00fczerindeki uzakl\u0131\u011f\u0131n yan\u0131 s\u0131ra \u0394x, \u0394y ve do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131n\u0131 \u00f6\u011frenin. Metre, santimetre, feet ve in\u00e7 birimlerini destekler.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-geometry\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/iki-nokta-arasi-uzaklik-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3961\" data-post=\"3961\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"is-single field\" id=\"input-1\"><span class=\"font-semibold\">Nokta 1<\/span><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">x\u2081<\/label><div class=\"term\">x\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"x\" id=\"field-2\" aria-describedby=\"calc-info-2\" step=\"any\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-2\">\u0130lk noktan\u0131n yatay koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-4\">y\u2081<\/label><div class=\"term\">y\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"y\" id=\"field-4\" aria-describedby=\"calc-info-4\" step=\"any\" value=\"2\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-4\">\u0130lk noktan\u0131n d\u00fc\u015fey koordinat\u0131.<\/small><\/div><div class=\"is-single field\" id=\"input-4\"><span class=\"font-semibold\">Nokta 2<\/span><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-7\">x\u2082<\/label><div class=\"term\">x\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"x\" id=\"field-7\" aria-describedby=\"calc-info-7\" step=\"any\" value=\"4\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-7\">\u0130kinci noktan\u0131n yatay koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-9\">y\u2082<\/label><div class=\"term\">y\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"number\" name=\"y\" id=\"field-9\" aria-describedby=\"calc-info-9\" step=\"any\" value=\"6\"\/><div class=\"grid grid-cols-1\"><select id=\"field-10\" name=\"birim\" aria-label=\"Birim\"><option value=\"m\" selected>m<\/option><option value=\"cm\">cm<\/option><option value=\"ft\">ft<\/option><option value=\"in\">in<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-9\">\u0130kinci noktan\u0131n d\u00fc\u015fey koordinat\u0131.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3961\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Mesafe<\/span><span class=\"result-term\">d<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Yatay Fark (\u0394x)<\/span><span class=\"result-term\">\u0394x<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>D\u00fc\u015fey Fark (\u0394y)<\/span><span class=\"result-term\">\u0394y<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Do\u011fru Par\u00e7as\u0131n\u0131n Orta Noktas\u0131<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3961\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>\u0130ki nokta aras\u0131ndaki uzakl\u0131k form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ d = \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(d\\) \u2014 iki nokta aras\u0131ndaki uzakl\u0131k<\/li>\n<li>\\(x_1, y_1\\) \u2014 birinci noktan\u0131n koordinatlar\u0131<\/li>\n<li>\\(x_2, y_2\\) \u2014 ikinci noktan\u0131n koordinatlar\u0131<\/li>\n<\/ul>\n<p>Bu, uzakl\u0131k form\u00fcl\u00fcd\u00fcr ve Pisagor teoreminin do\u011frudan bir uygulamas\u0131d\u0131r: yatay fark \\(\\Delta x = x_2 - x_1\\) ile d\u00fc\u015fey fark \\(\\Delta y = y_2 - y_1\\) bir dik \u00fc\u00e7genin iki dik kenar\u0131n\u0131 olu\u015fturur; uzakl\u0131k \\(d\\) ise bu \u00fc\u00e7genin hipoten\u00fcs\u00fcd\u00fcr.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>\u0130ki nokta aras\u0131ndaki uzakl\u0131k \u2013 \u00f6rnek hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> \\(P_1 = (1, 2)\\) ve \\(P_2 = (4, 6)\\) noktalar\u0131 aras\u0131ndaki uzakl\u0131\u011f\u0131 bulal\u0131m; t\u00fcm koordinatlar metre cinsindendir (bunlar hesaplay\u0131c\u0131n\u0131n varsay\u0131lan de\u011ferleridir).<\/p>\n<p>\\[ \\Delta x = 4 - 1 = 3, \\qquad \\Delta y = 6 - 2 = 4 \\]<\/p>\n<p>\\[ d = \\sqrt{3^2 + 4^2} = \\sqrt{9 + 16} = \\sqrt{25} = 5 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> uzakl\u0131k \\(d = 5\\) m; \\(\\Delta x = 3\\) m, \\(\\Delta y = 4\\) m ve do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131 \\((2.5,\\ 4.5)\\).<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>1. Nokta<\/strong> ba\u015fl\u0131\u011f\u0131 alt\u0131na <strong>x\u2081<\/strong> ve <strong>y\u2081<\/strong> de\u011ferlerini girin \u2014 ilk noktan\u0131z\u0131n yatay ve d\u00fc\u015fey koordinatlar\u0131n\u0131.<\/li>\n<li>Her koordinat i\u00e7in, giri\u015f alan\u0131n\u0131n yan\u0131ndaki a\u00e7\u0131l\u0131r listeden birimini (<strong>m<\/strong>, <strong>cm<\/strong>, <strong>ft<\/strong> veya <strong>in<\/strong>) se\u00e7in.<\/li>\n<li><strong>2. Nokta<\/strong> alt\u0131na, birimlerini ayn\u0131 \u015fekilde se\u00e7erek <strong>x\u2082<\/strong> ve <strong>y\u2082<\/strong> de\u011ferlerini girin.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: <strong>Uzakl\u0131k<\/strong>, <strong>Yatay Fark (\u0394x)<\/strong>, <strong>D\u00fc\u015fey Fark (\u0394y)<\/strong> ve <strong>Do\u011fru Par\u00e7as\u0131n\u0131n Orta Noktas\u0131<\/strong>.<\/li>\n<\/ol>\n<p>Sonu\u00e7 her zaman x\u2081 i\u00e7in se\u00e7ti\u011finiz birimde verilir. Koordinatlar\u0131 farkl\u0131 birimlerde girerseniz hesaplay\u0131c\u0131 \u00f6nce t\u00fcm de\u011ferleri metreye \u00e7evirir, sonra yan\u0131tlar\u0131 x\u2081'in birimine geri d\u00f6n\u00fc\u015ft\u00fcr\u00fcr; bu y\u00fczden \"x\u2081 feet, y\u2082 in\u00e7\" gibi kar\u0131\u015f\u0131k giri\u015fler de do\u011fru sonu\u00e7 verir.<\/p>\n<h2>\u0130ki nokta aras\u0131ndaki uzakl\u0131k nedir?<\/h2>\n<p>\u0130ki boyutlu bir d\u00fczlemde iki nokta aras\u0131ndaki uzakl\u0131k, bu noktalar\u0131 birle\u015ftiren d\u00fcz do\u011fru par\u00e7as\u0131n\u0131n uzunlu\u011fudur \u2014 m\u00fcmk\u00fcn olan en k\u0131sa yol. \\(P_1 = (x_1, y_1)\\) ve \\(P_2 = (x_2, y_2)\\) verildi\u011finde, dik kenarlar\u0131 yatay \\(\\Delta x\\) ve d\u00fc\u015fey \\(\\Delta y\\) olan bir dik \u00fc\u00e7gen hayal edebilirsiniz. Uzakl\u0131k form\u00fcl\u00fc bu \u00fc\u00e7gene Pisagor teoremini uygular; kare alma, toplama ve karek\u00f6k alma ad\u0131mlar\u0131n\u0131n yeterli olmas\u0131n\u0131n nedeni budur.<\/p>\n<p>\u0394x ve \u0394y ara sonu\u00e7lar\u0131 \u00e7o\u011fu zaman uzakl\u0131\u011f\u0131n kendisi kadar i\u015fe yarar. Noktalar\u0131n her eksen boyunca ne kadar ve hangi y\u00f6nde ayr\u0131k oldu\u011funu s\u00f6ylerler; e\u011fim, vekt\u00f6rler ya da fizikteki yer de\u011fi\u015ftirmeyle ilgili problemlerde ihtiya\u00e7 duyulan \u015fey tam olarak budur. \u00d6rne\u011fin iki noktadan ge\u00e7en do\u011frunun e\u011fimi \\(\\Delta y \/ \\Delta x\\)'tir.<\/p>\n<p>Hesaplay\u0131c\u0131 ayr\u0131ca do\u011fru par\u00e7as\u0131n\u0131n <strong>orta noktas\u0131n\u0131<\/strong> verir: verilen iki noktan\u0131n tam ortas\u0131nda yer alan \\(\\left(\\frac{x_1 + x_2}{2}, \\frac{y_1 + y_2}{2}\\right)\\) noktas\u0131. Koordinatlar\u0131n ortalamas\u0131 al\u0131narak bulunur \u2014 <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/ortalama-hesaplama\/\">ortalama hesaplama arac\u0131n\u0131n<\/a> arkas\u0131ndaki fikirle ayn\u0131d\u0131r.<\/p>\n<p>Bu uzakl\u0131k, s\u0131radan \u00d6klid geometrisinden geldi\u011fi i\u00e7in <em>\u00d6klid<\/em> uzakl\u0131\u011f\u0131 olarak adland\u0131r\u0131l\u0131r. Analitik geometride, d\u00fcz haritalarda y\u00f6nlendirmede, bilgisayar grafiklerinde ve \u00f6znitelik vekt\u00f6rlerini kar\u015f\u0131la\u015ft\u0131ran bir\u00e7ok makine \u00f6\u011frenmesi algoritmas\u0131nda standart \u00f6l\u00e7\u00fcd\u00fcr.<\/p>\n<h2>S\u0131n\u0131rlamalar ve pratik ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca 2B.<\/strong> Hesaplay\u0131c\u0131 bir d\u00fczlemde \u00e7al\u0131\u015f\u0131r. \\((x, y, z)\\) bi\u00e7imindeki \u00fc\u00e7 boyutlu noktalar i\u00e7in \u00fc\u00e7\u00fcnc\u00fc bir kare terimi eklemeniz gerekir: \\(d = \\sqrt{\\Delta x^2 + \\Delta y^2 + \\Delta z^2}\\).<\/li>\n<li><strong>Ku\u015f u\u00e7u\u015fu uzakl\u0131k.<\/strong> Sonu\u00e7, do\u011frudan \"ku\u015f u\u00e7u\u015fu\" uzakl\u0131\u011f\u0131d\u0131r; yollar\u0131 veya engellerin etraf\u0131n\u0131 dolanan bir yol de\u011fildir.<\/li>\n<li><strong>Ayn\u0131 koordinat sistemi.<\/strong> Her iki nokta da ayn\u0131 koordinat sisteminde ifade edilmelidir (\u00f6rne\u011fin ikisi de ayn\u0131 harita \u0131zgaras\u0131ndan al\u0131nm\u0131\u015f olmal\u0131). Farkl\u0131 ba\u015flang\u0131\u00e7 noktalar\u0131na ait koordinatlar\u0131 kar\u0131\u015ft\u0131rmak anlams\u0131z bir sonu\u00e7 verir.<\/li>\n<li><strong>Birimlere dikkat.<\/strong> T\u00fcm \u00e7\u0131kt\u0131lar x\u2081'in birimini kullan\u0131r. Yan\u0131t\u0131 in\u00e7 cinsinden almak istiyorsan\u0131z hesaplamadan \u00f6nce x\u2081'in birimini <strong>in<\/strong> olarak ayarlay\u0131n.<\/li>\n<li><strong>Negatif koordinat sorun de\u011fil.<\/strong> \u0394x ve \u0394y farklar\u0131 mutlak de\u011fer olarak g\u00f6sterilir; uzakl\u0131\u011f\u0131n kendisi her zaman negatif olmayan bir de\u011ferdir.<\/li>\n<\/ul>\n<p>H\u0131zl\u0131 bir sa\u011flama: uzakl\u0131k \\(|\\Delta x|\\) veya \\(|\\Delta y|\\) de\u011ferinden k\u00fc\u00e7\u00fck olamaz ve en fazla \\(|\\Delta x| + |\\Delta y|\\) olabilir. Sonucunuz bu aral\u0131\u011f\u0131n d\u0131\u015f\u0131ndaysa girdi\u011finiz koordinatlar\u0131 yeniden kontrol edin.<\/p>\n<p>Bu hesaplaman\u0131n yap\u0131s\u0131n\u0131 \u2014 karelerin toplam\u0131n\u0131n karek\u00f6k\u00fc \u2014 sevdiyseniz, ayn\u0131 deseni bir say\u0131 listesine uygulayan <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/karesel-ortalama-hesaplama\/\">kuadratik ortalama (k\u00f6k ortalama kare) hesaplama arac\u0131na<\/a> ya da karek\u00f6k\u00fcn \u00f6tesindeki k\u00f6kler i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/ninci-kok\/\">n'inci k\u00f6k hesaplama arac\u0131na<\/a> da g\u00f6z atabilirsiniz.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki noktan\u0131n koordinatlar\u0131n\u0131 girin; d\u00fcz hat \u00fczerindeki uzakl\u0131\u011f\u0131n yan\u0131 s\u0131ra \u0394x, \u0394y ve do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131n\u0131 \u00f6\u011frenin. Metre, santimetre, feet ve in\u00e7 birimlerini destekler.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[42],"class_list":["post-3961","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-geometri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3961"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3961\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3961"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3961"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}