{"id":4020,"date":"2026-10-14T23:40:08","date_gmt":"2026-10-14T22:40:08","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/orta-nokta-hesaplama\/"},"modified":"2026-10-14T23:40:08","modified_gmt":"2026-10-14T22:40:08","slug":"orta-nokta-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/orta-nokta-hesaplama\/","title":{"rendered":"Orta nokta hesaplama"},"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\">Do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131n\u0131 bulun<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4020\" data-favorite-title=\"Orta nokta\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/orta-nokta-hesaplama\/\" data-favorite-excerpt=\"2B veya 3B uzayda bir do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131n\u0131 bulun. \u0130ki u\u00e7 noktan\u0131n koordinatlar\u0131n\u0131 girin; orta noktay\u0131 ve par\u00e7a uzunlu\u011funu an\u0131nda elde edin.\" 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\/orta-nokta-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4020\" data-post=\"4020\"><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\">1. nokta (x\u2081, y\u2081)<\/span><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">X koordinat\u0131<\/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><input type=\"number\" name=\"x_koordinat\" id=\"field-2\" aria-describedby=\"calc-info-2\" step=\"any\" value=\"2\"\/><small id=\"calc-info-2\">\u0130lk noktan\u0131n yatay koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Y koordinat\u0131<\/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><input type=\"number\" name=\"y_koordinat\" id=\"field-3\" aria-describedby=\"calc-info-3\" step=\"any\" value=\"3\"\/><small id=\"calc-info-3\">\u0130lk noktan\u0131n dikey koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-4\" hidden><label for=\"field-4\">Z koordinat\u0131<\/label><div class=\"term\">z\u2081<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"z_koordinat\" id=\"field-4\" aria-describedby=\"calc-info-4\" step=\"any\" value=\"1\"\/><small id=\"calc-info-4\">\u0130lk noktan\u0131n derinlik koordinat\u0131 (3B modda).<\/small><\/div><div class=\"is-single field\" id=\"input-5\"><span class=\"font-semibold\">2. nokta (x\u2082, y\u2082)<\/span><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-6\">X koordinat\u0131<\/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><input type=\"number\" name=\"x_koordinat\" id=\"field-6\" aria-describedby=\"calc-info-6\" step=\"any\" value=\"8\"\/><small id=\"calc-info-6\">\u0130kinci noktan\u0131n yatay koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-7\"><label for=\"field-7\">Y koordinat\u0131<\/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><input type=\"number\" name=\"y_koordinat\" id=\"field-7\" aria-describedby=\"calc-info-7\" step=\"any\" value=\"7\"\/><small id=\"calc-info-7\">\u0130kinci noktan\u0131n dikey koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-8\" hidden><label for=\"field-8\">Z koordinat\u0131<\/label><div class=\"term\">z\u2082<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"z_koordinat\" id=\"field-8\" aria-describedby=\"calc-info-8\" step=\"any\" value=\"5\"\/><small id=\"calc-info-8\">\u0130kinci noktan\u0131n derinlik koordinat\u0131 (3B modda).<\/small><\/div><div class=\"field is-checkbox is-single\" id=\"input-9\"><input type=\"checkbox\" id=\"field-9\" value=\"1\"\/><label for=\"field-9\">3B modda \u00e7al\u0131\u015f\u0131n (Z koordinatlar\u0131n\u0131 kullan\u0131n)<\/label><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4020\">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> Orta noktan\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Orta nokta koordinatlar\u0131<\/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>Orta nokta X<\/span><span class=\"result-term\">M\u2093<\/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>Orta nokta Y<\/span><span class=\"result-term\">M\u1d67<\/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>Orta nokta Z<\/span><span class=\"result-term\">M_z<\/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 class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Do\u011fru par\u00e7as\u0131n\u0131n uzunlu\u011fu<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/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=\"4020\" 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>Orta nokta 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\\[ M = \\left( \\frac{x_1 + x_2}{2},\\ \\frac{y_1 + y_2}{2} \\right) \\]\n\\[ M = \\left( \\frac{x_1 + x_2}{2},\\ \\frac{y_1 + y_2}{2},\\ \\frac{z_1 + z_2}{2} \\right) \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(x_1, y_1, z_1\\) \u2014 birinci u\u00e7 noktan\u0131n koordinatlar\u0131<\/li>\n<li>\\(x_2, y_2, z_2\\) \u2014 ikinci u\u00e7 noktan\u0131n koordinatlar\u0131<\/li>\n<li>\\(M\\) \u2014 par\u00e7an\u0131n orta noktas\u0131<\/li>\n<\/ul>\n<p>Orta nokta, her koordinat\u0131n ortalamas\u0131ndan ba\u015fka bir \u015fey de\u011fildir: iki de\u011feri toplay\u0131p 2'ye b\u00f6lmeniz yeterlidir. \u0130lk form\u00fcl d\u00fczlemdeki (2B) noktalar i\u00e7in, ikincisi ise uzaydaki (3B) noktalar i\u00e7in ge\u00e7erlidir. Hesaplama arac\u0131 ayr\u0131ca \u00d6klid uzakl\u0131k form\u00fcl\u00fcyle par\u00e7a uzunlu\u011funu da g\u00f6sterir:<\/p>\n<p>\\[ d = \\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \\]\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>Orta nokta \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> \u00fc\u00e7 boyutlu uzayda \\(A(2, 3, 1)\\) ve \\(B(8, 7, 5)\\) noktalar\u0131n\u0131 birle\u015ftiren do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131n\u0131 bulal\u0131m.<\/p>\n<p>\\[ M_x = \\frac{2 + 8}{2} = \\frac{10}{2} = 5 \\]<\/p>\n<p>\\[ M_y = \\frac{3 + 7}{2} = \\frac{10}{2} = 5 \\]<\/p>\n<p>\\[ M_z = \\frac{1 + 5}{2} = \\frac{6}{2} = 3 \\]<\/p>\n<p>\\[ d = \\sqrt{(8-2)^2 + (7-3)^2 + (5-1)^2} = \\sqrt{36 + 16 + 16} = \\sqrt{68} \\approx 8.246 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> orta nokta \\(M = (5, 5, 3)\\), par\u00e7a uzunlu\u011fu ise yakla\u015f\u0131k 8,246 birimdir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>\"1. Nokta (x\u2081, y\u2081)\" b\u00f6l\u00fcm\u00fcnde ilk noktan\u0131n <strong>X koordinat\u0131n\u0131<\/strong> ve <strong>Y koordinat\u0131n\u0131<\/strong> girin.<\/li>\n<li>\"2. Nokta (x\u2082, y\u2082)\" b\u00f6l\u00fcm\u00fcnde ikinci noktan\u0131n <strong>X koordinat\u0131n\u0131<\/strong> ve <strong>Y koordinat\u0131n\u0131<\/strong> girin.<\/li>\n<li>Noktalar\u0131n\u0131z \u00fc\u00e7 boyutlu uzaydaysa <strong>3B modunda \u00e7al\u0131\u015f (Z koordinatlar\u0131n\u0131 kullan)<\/strong> kutusunu i\u015faretleyin ve her iki nokta i\u00e7in de <strong>Z koordinat\u0131<\/strong> alanlar\u0131n\u0131 doldurun. Kutu i\u015faretsizken Z alanlar\u0131 gizlenir ve yaln\u0131zca 2B orta nokta hesaplan\u0131r.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: <strong>Orta nokta X<\/strong>, <strong>Orta nokta Y<\/strong> ve 3B modunda <strong>Orta nokta Z<\/strong> de\u011ferleri orta noktan\u0131n koordinatlar\u0131n\u0131, <strong>Par\u00e7a uzunlu\u011fu<\/strong> ise iki nokta aras\u0131ndaki d\u00fcz mesafeyi verir.<\/li>\n<\/ol>\n<h2>Orta nokta nedir?<\/h2>\n<p>Bir par\u00e7an\u0131n orta noktas\u0131, iki u\u00e7 noktan\u0131n tam ortas\u0131nda yer alan ve par\u00e7ay\u0131 e\u015fit uzunluklu iki par\u00e7aya b\u00f6len noktad\u0131r. Analitik geometride bu noktay\u0131 koordinatlar\u0131n ortalamas\u0131n\u0131 alarak bulursunuz: orta noktan\u0131n her koordinat\u0131, u\u00e7 noktalar\u0131n ilgili koordinatlar\u0131n\u0131n ortalamas\u0131d\u0131r. Ortalama almak yaln\u0131zca toplama ve <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/bolme-hesaplayici\/\">ikiye b\u00f6lme<\/a> i\u015fleminden ibaret oldu\u011fundan ayn\u0131 mant\u0131k iki boyutta, \u00fc\u00e7 boyutta, hatta istedi\u011finiz say\u0131da boyutta i\u015fler.<\/p>\n<p>Orta noktan\u0131n kullan\u0131\u015fl\u0131 bir geometrik \u00f6zelli\u011fi vard\u0131r: her iki u\u00e7 noktaya da e\u015fit uzakl\u0131ktad\u0131r; par\u00e7an\u0131n her yar\u0131s\u0131 toplam uzunlu\u011fun tam olarak yar\u0131s\u0131d\u0131r. Ayr\u0131ca par\u00e7ay\u0131 \u00e7ap kabul eden en k\u00fc\u00e7\u00fck dairenin (3B'de k\u00fcrenin) merkezidir. Bu y\u00fczden orta noktalar pek \u00e7ok kurulumun temel ta\u015f\u0131d\u0131r: orta dikmeler, \u00fc\u00e7genin kenarortaylar\u0131, dikd\u00f6rtgenin merkezi, bir rotan\u0131n ya da uzaydaki bir cismin tam ortas\u0131.<\/p>\n<p>Sonu\u00e7lar\u0131 yorumlamak kolayd\u0131r: A noktas\u0131 \\(A(2, 3)\\) ve B noktas\u0131 \\(B(8, 7)\\) ise, orta nokta \\(M(5, 5)\\) hem yatay hem d\u00fc\u015fey y\u00f6nde ayn\u0131 \"orta\" konumunda bulunur. Yan\u0131nda g\u00f6sterilen par\u00e7a uzunlu\u011fu ise u\u00e7 noktalar\u0131n ne kadar uzakta oldu\u011funu s\u00f6yler; hem merkez hem de boyut bilgisine ihtiya\u00e7 duydu\u011funuzda bu \u00e7o\u011fu zaman i\u015finize yarar.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li>Hesaplama arac\u0131 par\u00e7a uzunlu\u011fu i\u00e7in d\u00fcz (\u00d6klid) mesafeyi kullan\u0131r. Ger\u00e7ek yollar\u0131n bulundu\u011fu bir haritada u\u00e7 noktalar aras\u0131ndaki s\u00fcr\u00fc\u015f mesafesi d\u00fcz mesafeden daha uzun olur.<\/li>\n<li>Koordinatlar negatif, tam say\u0131 veya ondal\u0131k olabilir \u2014 \u00f6rne\u011fin \\((-4, 1)\\) ve \\((3, 6)\\) noktalar\u0131n\u0131n orta noktas\u0131 \\((-0.5, 3.5)\\) olur.<\/li>\n<li>\u0130ki u\u00e7 nokta \u00e7ak\u0131\u015f\u0131yorsa orta nokta o noktan\u0131n kendisine e\u015fittir ve par\u00e7a uzunlu\u011fu 0 olur.<\/li>\n<li>Orta nokta, a\u011f\u0131rl\u0131kl\u0131 konumun \u00f6zel bir h\u00e2lidir: par\u00e7ay\u0131 farkl\u0131 bir oranda b\u00f6len bir noktaya ihtiyac\u0131n\u0131z varsa (\u00f6rne\u011fin 1:1 yerine 1:2), koordinatlar\u0131 buna g\u00f6re a\u011f\u0131rl\u0131kland\u0131rman\u0131z gerekir. Bu t\u00fcr sorunlar i\u00e7in genel ara\u00e7 <a href=\"https:\/\/wpcalc.com\/en\/mathematics\/weighted-mean-calculator\/\">a\u011f\u0131rl\u0131kl\u0131 ortalamad\u0131r<\/a>; temeldeki aritmeti\u011fi ise basit bir <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/ortalama-hesaplama\/\">ortalama hesaplama arac\u0131<\/a> halleder.<\/li>\n<li>Pratik bir zihinden kontrol: orta nokta her koordinatta iki u\u00e7 noktan\u0131n aras\u0131nda kalmak zorundad\u0131r; dolay\u0131s\u0131yla X de\u011feri \\(x_1\\) ile \\(x_2\\) aras\u0131nda olmal\u0131d\u0131r; Y (3B'de ayr\u0131ca Z) i\u00e7in de ayn\u0131 \u015fey ge\u00e7erlidir.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>2B veya 3B uzayda bir do\u011fru par\u00e7as\u0131n\u0131n orta noktas\u0131n\u0131 bulun. \u0130ki u\u00e7 noktan\u0131n koordinatlar\u0131n\u0131 girin; orta noktay\u0131 ve par\u00e7a uzunlu\u011funu an\u0131nda elde edin.<\/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-4020","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\/4020","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=4020"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4020\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4020"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4020"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4020"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}