{"id":3962,"date":"2026-10-14T19:36:45","date_gmt":"2026-10-14T18:36:45","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/nokta-dogru-mesafe-hesaplama\/"},"modified":"2026-10-14T19:36:45","modified_gmt":"2026-10-14T18:36:45","slug":"nokta-dogru-mesafe-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/nokta-dogru-mesafe-hesaplama\/","title":{"rendered":"Nokta ile do\u011fru aras\u0131ndaki mesafe 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\">Bir noktadan bir do\u011fruya dik uzakl\u0131\u011f\u0131 hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3962\" data-favorite-title=\"Nokta ile do\u011fru aras\u0131ndaki mesafe\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/nokta-dogru-mesafe-hesaplama\/\" data-favorite-excerpt=\"Bir noktan\u0131n koordinatlar\u0131n\u0131 ve Ax + By + C = 0 bi\u00e7imindeki do\u011frunun katsay\u0131lar\u0131n\u0131 girerek aralar\u0131ndaki en k\u0131sa (dik) mesafeyi, t\u00fcm hesaplama ad\u0131mlar\u0131yla birlikte bulun.\" 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\/nokta-dogru-mesafe-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3962\" data-post=\"3962\"><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\">P noktas\u0131<\/span><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">x koordinat\u0131 (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><input type=\"number\" name=\"x_koordinat_x\" id=\"field-2\" aria-describedby=\"calc-info-2\" placeholder=\"3\" step=\"any\" value=\"3\"\/><small id=\"calc-info-2\">Noktan\u0131n yatay koordinat\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">y koordinat\u0131 (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><input type=\"number\" name=\"y_koordinat_y\" id=\"field-3\" aria-describedby=\"calc-info-3\" placeholder=\"4\" step=\"any\" value=\"4\"\/><small id=\"calc-info-3\">Noktan\u0131n d\u00fc\u015fey koordinat\u0131.<\/small><\/div><div class=\"is-single field\" id=\"input-4\"><span class=\"font-semibold\">Do\u011fru: Ax + By + C = 0<\/span><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">A katsay\u0131s\u0131<\/label><div class=\"term\">A<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"a_katsays\" id=\"field-5\" aria-describedby=\"calc-info-5\" placeholder=\"2\" step=\"any\" value=\"2\"\/><small id=\"calc-info-5\">Do\u011fru denklemindeki x katsay\u0131s\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-6\"><label for=\"field-6\">B katsay\u0131s\u0131<\/label><div class=\"term\">B<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"b_katsays\" id=\"field-6\" aria-describedby=\"calc-info-6\" placeholder=\"-1\" step=\"any\" value=\"-1\"\/><small id=\"calc-info-6\">Do\u011fru denklemindeki y katsay\u0131s\u0131.<\/small><\/div><div class=\"field has-term\" id=\"input-7\"><label for=\"field-7\">C katsay\u0131s\u0131<\/label><div class=\"term\">C<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"c_katsays\" id=\"field-7\" aria-describedby=\"calc-info-7\" placeholder=\"1\" step=\"any\" value=\"1\"\/><small id=\"calc-info-7\">Do\u011fru denklemindeki sabit terim.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3962\">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> Uzakl\u0131k sonucunuz<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>P noktas\u0131n\u0131n do\u011fruya en k\u0131sa uzakl\u0131\u011f\u0131<\/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>Uzakl\u0131\u011f\u0131n karesi<\/span><span class=\"result-term\">d\u00b2<\/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 is-column\" id=\"output-3\"><span class=\"field-title\"><span>Hesaplama ad\u0131mlar\u0131<\/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><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=\"3962\" 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>Nokta ile do\u011fru aras\u0131ndaki mesafe 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 = \\frac{|A x_1 + B y_1 + C|}{\\sqrt{A^2 + B^2}} \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradaki g\u00f6sterimler:<\/strong><\/p>\n<ul>\n<li>\\(d\\) \u2014 noktan\u0131n do\u011fruya dik mesafesi (birim)<\/li>\n<li>\\(x_1, y_1\\) \u2014 P noktas\u0131n\u0131n koordinatlar\u0131<\/li>\n<li>\\(A, B, C\\) \u2014 \\(Ax + By + C = 0\\) do\u011frusunun katsay\u0131lar\u0131<\/li>\n<\/ul>\n<p>Form\u00fcl, noktan\u0131n do\u011fruya olan en k\u0131sa yol \u2014 yani dikme \u2014 \u00fczerinden uzakl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er. Payda, do\u011frunun denklemini noktada de\u011ferlendirir; \\(\\sqrt{A^2 + B^2}\\) payday\u0131 ise katsay\u0131lar\u0131 normalize ederek sonucun ger\u00e7ek bir \u00d6klid mesafesi olmas\u0131n\u0131 sa\u011flar.<\/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>Nokta ile do\u011fru aras\u0131ndaki mesafe \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> P(3, 4) noktas\u0131n\u0131n \\(2x - y + 1 = 0\\) do\u011frusuna uzakl\u0131\u011f\u0131n\u0131 bulal\u0131m.<\/p>\n<p>\\[ A x_1 + B y_1 + C = 2 \\cdot 3 + (-1) \\cdot 4 + 1 = 6 - 4 + 1 = 3 \\]<\/p>\n<p>\\[ d = \\frac{|3|}{\\sqrt{2^2 + (-1)^2}} = \\frac{3}{\\sqrt{5}} \\approx 1.342 \\text{ birim} \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> P(3, 4) noktas\u0131n\u0131n do\u011fruya en k\u0131sa mesafesi \\(\\frac{3}{\\sqrt{5}} \\approx 1.342\\) birim (tam de\u011feri \\(\\frac{3\\sqrt{5}}{5}\\)) ve \\(d^2 = \\frac{9}{5} = 1.8\\) birim\u00b2'dir.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>P noktan\u0131z\u0131n <strong>x koordinat\u0131n\u0131 (x\u2081)<\/strong> girin.<\/li>\n<li>P noktan\u0131z\u0131n <strong>y koordinat\u0131n\u0131 (y\u2081)<\/strong> girin.<\/li>\n<li><strong>A katsay\u0131s\u0131n\u0131<\/strong> girin \u2014 do\u011frunuzun denkleminde \\(x\\) ile \u00e7arp\u0131lan say\u0131.<\/li>\n<li><strong>B katsay\u0131s\u0131n\u0131<\/strong> girin \u2014 \\(y\\) ile \u00e7arp\u0131lan say\u0131.<\/li>\n<li><strong>C katsay\u0131s\u0131n\u0131<\/strong> girin \u2014 sabit terim.<\/li>\n<li>Sonucu okuyun: en k\u0131sa mesafe \\(d\\), mesafenin karesi \\(d^2\\) ve hesaplaman\u0131n ad\u0131m ad\u0131m d\u00f6k\u00fcm\u00fc.<\/li>\n<\/ol>\n<p>Do\u011frunuz \\(y = mx + b\\) bi\u00e7iminde (e\u011fim\u2013kesi\u015fim) verildiyse \u00f6nce \u015f\u00f6yle yaz\u0131n: \\(mx - y + b = 0\\). B\u00f6ylece \\(A = m\\), \\(B = -1\\) ve \\(C = b\\) olur. Do\u011fru iki noktadan ge\u00e7iyorsa, katsay\u0131lar\u0131 girmeden \u00f6nce denklemi \\(Ax + By + C = 0\\) bi\u00e7imine d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/p>\n<h2>Noktan\u0131n do\u011fruya mesafesi nedir?<\/h2>\n<p>Verilen bir P noktas\u0131 ile sonsuz bir do\u011fru aras\u0131nda, P'yi do\u011fru \u00fczerindeki noktalara ba\u011flayan sonsuz say\u0131da do\u011fru par\u00e7as\u0131 \u00e7izilebilir. Bunlar\u0131n en k\u0131sas\u0131, do\u011fruya dik olan par\u00e7ad\u0131r ve bu par\u00e7an\u0131n uzunlu\u011funa noktan\u0131n do\u011fruya mesafesi denir. Bu, analitik geometrinin temel kavramlar\u0131ndan biridir ve bilgisayar grafikleri, robotik, \u00e7arp\u0131\u015fma alg\u0131lama, co\u011frafi bilgi sistemleri ile eniyileme (optimizasyon) alanlar\u0131nda kullan\u0131l\u0131r.<\/p>\n<p>Form\u00fcl, genel bi\u00e7imde \\(Ax + By + C = 0\\) olarak yaz\u0131lm\u0131\u015f her do\u011fru i\u00e7in ge\u00e7erlidir. \\(Ax_1 + By_1 + C\\) ifadesi, nokta tam olarak do\u011fru \u00fczerinde oldu\u011funda s\u0131f\u0131rd\u0131r. S\u0131f\u0131r de\u011filse, \\(\\sqrt{A^2 + B^2}\\) \u2014 yani \\((A, B)\\) normal vekt\u00f6r\u00fcn\u00fcn uzunlu\u011funa \u2014 b\u00f6lerek ham de\u011feri ger\u00e7ek bir mesafeye d\u00f6n\u00fc\u015ft\u00fcr\u00fcr; b\u00f6ylece sonu\u00e7, denklemin hangi \u00f6l\u00e7ekte yaz\u0131ld\u0131\u011f\u0131ndan ba\u011f\u0131ms\u0131z olur. \u00d6rne\u011fin denklemin tamam\u0131n\u0131 2 ile \u00e7arpmak mesafeyi de\u011fi\u015ftirmez.<\/p>\n<p>Sonu\u00e7 <strong>0 birim<\/strong> ise nokta tam olarak do\u011fru \u00fczerindedir. De\u011fer b\u00fcy\u00fcd\u00fck\u00e7e nokta daha uzakta demektir; paydadaki mutlak de\u011fer nedeniyle mesafe her zaman negatif olmayan bir de\u011ferdir. Dik do\u011fru par\u00e7as\u0131 ayr\u0131ca do\u011fru \u00fczerindeki en yak\u0131n noktan\u0131n yerini de g\u00f6sterir: bu nokta, P'den do\u011fruya indirilen dikmenin aya\u011f\u0131d\u0131r.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Do\u011fru ge\u00e7erli olmal\u0131:<\/strong> A ve B katsay\u0131lar\u0131 ayn\u0131 anda s\u0131f\u0131r olamaz; aksi h\u00e2lde denklem bir do\u011fru tan\u0131mlamaz ve hesaplama arac\u0131 hata g\u00f6sterir.<\/li>\n<li><strong>Do\u011fru sonsuzdur:<\/strong> mesafe t\u00fcm do\u011fruya \u00f6l\u00e7\u00fcl\u00fcr, bir do\u011fru par\u00e7as\u0131na veya \u0131\u015f\u0131na de\u011fil. Bir par\u00e7a i\u00e7in en yak\u0131n nokta, par\u00e7an\u0131n u\u00e7 noktalar\u0131ndan biri olabilir.<\/li>\n<li><strong>\u00d6l\u00e7ekten ba\u011f\u0131ms\u0131zl\u0131k:<\/strong> A, B ve C'yi s\u0131f\u0131rdan farkl\u0131 herhangi bir sabitle (negatif de\u011ferler dahil) \u00e7arpabilirsiniz; form\u00fcl otomatik olarak normalize etti\u011fi i\u00e7in mesafe de\u011fi\u015fmez.<\/li>\n<li><strong>Di\u011fer bi\u00e7imlerden d\u00f6n\u00fc\u015ft\u00fcrme:<\/strong> \\(y = mx + b\\) i\u00e7in \\(A = m\\), \\(B = -1\\), \\(C = b\\); iki nokta \\((x_1, y_1)\\) ve \\((x_2, y_2)\\) i\u00e7in \\(A = y_1 - y_2\\), \\(B = x_2 - x_1\\), \\(C = x_1 y_2 - x_2 y_1\\).<\/li>\n<li><strong>Birimler:<\/strong> mesafe, koordinatlar\u0131n\u0131zla ayn\u0131 birimle ifade edilir; iki eksen i\u00e7in de tutarl\u0131 birimler kullan\u0131n.<\/li>\n<\/ul>\n<p>Nokta ve do\u011frular aras\u0131ndaki mesafeler pek \u00e7ok benzer problemde kar\u015f\u0131n\u0131za \u00e7\u0131kar. Do\u011fru denklemlerini yeniden yazarken ya da dik do\u011frular i\u00e7eren denklem sistemlerini \u00e7\u00f6zerken <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/yok-etme-yontemi\/\">eleme y\u00f6ntemi hesaplama arac\u0131<\/a> kesi\u015fim noktalar\u0131n\u0131 bulman\u0131za yard\u0131mc\u0131 olur; \\((A x_1 + B y_1 + C)\\) benzeri ifadelerdeki \u00e7arpanlar\u0131n a\u00e7\u0131l\u0131m\u0131 ise <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/foil-yontemi\/\">FOIL y\u00f6ntemi hesaplama arac\u0131<\/a> veya <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/binom-carpimi\/\">binom \u00e7arp\u0131m\u0131 hesaplama arac\u0131<\/a> ile h\u0131zl\u0131ca yap\u0131l\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir noktan\u0131n koordinatlar\u0131n\u0131 ve Ax + By + C = 0 bi\u00e7imindeki do\u011frunun katsay\u0131lar\u0131n\u0131 girerek aralar\u0131ndaki en k\u0131sa (dik) mesafeyi, t\u00fcm hesaplama ad\u0131mlar\u0131yla birlikte bulun.<\/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-3962","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\/3962","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=3962"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3962\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}