{"id":223,"date":"2023-07-11T00:06:07","date_gmt":"2023-07-11T00:06:07","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%9b%b4%e7%ba%bf%e7%9a%84%e4%b8%80%e8%88%ac%e6%88%96%e9%9a%90%e5%bc%8f%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%96%b9%e7%a8%8b\/"},"modified":"2023-07-11T00:06:07","modified_gmt":"2023-07-11T00:06:07","slug":"%e7%9b%b4%e7%ba%bf%e7%9a%84%e4%b8%80%e8%88%ac%e6%88%96%e9%9a%90%e5%bc%8f%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%96%b9%e7%a8%8b","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%9b%b4%e7%ba%bf%e7%9a%84%e4%b8%80%e8%88%ac%e6%88%96%e9%9a%90%e5%bc%8f%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%96%b9%e7%a8%8b\/","title":{"rendered":"\u76f4\u7ebf\u7684\u9690\u5f0f\u6216\u4e00\u822c\uff08\u6216\u7b1b\u5361\u5c14\uff09\u65b9\u7a0b"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\uff08\u4e5f\u79f0\u4e3a\u76f4\u7ebf\u7684\u4e00\u822c\u65b9\u7a0b\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\uff09\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5404\u79cd\u793a\u4f8b\uff0c\u751a\u81f3\u53ef\u4ee5\u901a\u8fc7\u9010\u6b65\u89e3\u51b3\u7684\u76f4\u7ebf\u7ec3\u4e60\u8fdb\u884c\u7ec3\u4e60\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-ecuacion-implicita-general-o-cartesiana-de-la-recta\"><\/span>\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\u3001\u4e00\u822c\u65b9\u7a0b\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u662f\u4ec0\u4e48\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u76f4\u7ebf\u7684\u6570\u5b66\u5b9a\u4e49\u662f\u4e00\u7ec4\u8fde\u7eed\u7684\u70b9\uff0c\u8fd9\u4e9b\u70b9\u4ee5\u76f8\u540c\u7684\u65b9\u5411\u8868\u793a\uff0c\u6ca1\u6709\u66f2\u7ebf\u6216\u89d2\u5ea6\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p>\u56e0\u6b64\uff0c<strong>\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b<\/strong>\uff0c\u4e5f\u79f0\u4e3a\u4e00\u822c\u65b9\u7a0b\u6216<strong>\u7b1b\u5361\u5c14<\/strong><strong>\u65b9\u7a0b<\/strong>\uff0c\u662f\u4e00\u79cd\u7528\u6570\u5b66\u65b9\u5f0f\u8868\u8fbe\u4efb\u4f55\u76f4\u7ebf\u7684\u65b9\u6cd5\u3002\u4e3a\u6b64\uff0c\u60a8\u9700\u8981\u7684\u53ea\u662f\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\u548c\u5c5e\u4e8e\u8be5\u76f4\u7ebf\u7684\u70b9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-ecuacion-implicita-general-o-cartesiana-de-la-recta\"><\/span>\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u7684\u516c\u5f0f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background-color:#FFCC8080;padding-top: 20px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px solid #FFB74D; border-radius:20px;\">\n<p style=\"text-align:left\">\u662f\u7684<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5c5e\u4e8e\u53f3\u8fb9\u7684\u70b9\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8a5a9724c5deabef496a75b00995419d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (\\text{v}_1,\\text{v}_2) \\qquad P(P}_1,P_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"197\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"><strong>\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u7684<\/strong>\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"text-align:left; margin-bottom:4px;\">\u91d1\u5b50\uff1a<\/p>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u548c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u662f\u7ebf\u4e0a\u4efb\u610f\u70b9\u7684\u7b1b\u5361\u5c14\u5750\u6807\u3002<\/li>\n<li>\u7cfb\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-25b206f25506e6d6f46be832f7119ffa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"13\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u65b9\u5411\u5411\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5206\u91cf\uff1a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8aae57bb8c0ba7650d53c865bdf4855a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\text{v}_2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"53\" style=\"vertical-align: -3px;\"><\/p>\n<\/li>\n<li>\u7cfb\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-770fd1447ccf2fc229801b486b0d8f8a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u662f\u65b9\u5411\u5411\u91cf\u6539\u53d8\u7b26\u53f7\u7684\u7b2c\u4e00\u4e2a\u5206\u91cf\uff1a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a42f7e7fc1557de4f36ee335a3ff6c64_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"B=-\\text{v}_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"67\" style=\"vertical-align: -3px;\"><\/p>\n<\/li>\n<li>\u7cfb\u6570\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u901a\u8fc7\u66ff\u6362\u5df2\u77e5\u70b9\u6765\u8ba1\u7b97<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5728\u76f4\u7ebf\u65b9\u7a0b\u4e2d\u3002 <\/li>\n<\/ul>\n<\/div>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/equations-de-la-droite-1.webp\" alt=\"\u7a7a\u95f4\u76f4\u7ebf\u7684\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u9690\u5f0f\u65b9\u7a0b\uff08\u5728 R3 \u4e2d\uff09\" class=\"wp-image-1304\" width=\"281\" height=\"268\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u8bf7\u8bb0\u4f4f\uff0c\u9664\u4e86\u9690\u5f0f\uff08\u6216\u4e00\u822c\uff09\u65b9\u7a0b\u4e4b\u5916\uff0c\u8fd8\u6709\u5176\u4ed6\u65b9\u6cd5\u53ef\u4ee5\u89e3\u6790\u5730\u8868\u8fbe\u76f4\u7ebf\uff1a\u77e2\u91cf\u65b9\u7a0b\u3001\u53c2\u6570\u65b9\u7a0b\u3001\u8fde\u7eed\u65b9\u7a0b\u3001\u663e\u5f0f\u65b9\u7a0b\u548c\u70b9\u659c\u7387\u65b9\u7a0b\u827e\u7433.\u60a8\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u67e5\u770b\u5b83\u4eec\u5404\u81ea\u7684\u5185\u5bb9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-calcular-la-ecuacion-implicita-general-o-cartesiana-de-la-recta\"><\/span>\u8ba1\u7b97\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5149\u770b\u516c\u5f0f\uff0c\u4f3c\u4e4e\u8fd9\u7c7b\u76f4\u7ebf\u65b9\u7a0b\u6709\u70b9\u96be\u627e\u3002\u4f46\u4f60\u53ef\u4ee5\u770b\u5230\uff0c\u4e8b\u5b9e\u6070\u6070\u76f8\u53cd\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u4e86\u89e3\u5982\u4f55\u627e\u5230\u76f4\u7ebf\u7684\u4e00\u822c\uff08\u6216\u9690\u5f0f\uff09\u65b9\u7a0b\uff1a<\/p>\n<ul>\n<li>\u6c42\u901a\u8fc7\u8be5\u70b9\u7684\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e76\u4e14\u6709<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4f5c\u4e3a\u5f15\u5bfc\u5411\u91cf\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad8622d3699328f85871f9340cd2ccfc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (2,3) \\qquad P(5,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6b63\u5982\u6211\u4eec\u5728\u4e0a\u4e00\u8282\u4e2d\u770b\u5230\u7684\uff0c\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230\u7cfb\u6570 A\u3001B \u548c C\u3002\u672a\u77e5\u6570 A \u548c B \u662f\u4ece\u76f4\u7ebf\u65b9\u5411\u5411\u91cf\u7684\u5750\u6807\u4e2d\u83b7\u5f97\u7684\uff0c\u56e0\u4e3a\u4ee5\u4e0b\u7b49\u5f0f\u59cb\u7ec8\u5f97\u5230\u9a8c\u8bc1\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caffe051bad6b2835981c69786d9c98f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u7cfb\u6570 A \u662f\u5411\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5750\u6807\uff0c\u7cfb\u6570 B \u662f\u5411\u91cf\u6539\u53d8\u7b26\u53f7\u7684\u7b2c\u4e00\u4e2a\u5750\u6807\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c0773483b630933bef5733e3de0859cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}\\vv{\\text{v}}= (-B,A) \\\\[2ex] \\vv{\\text{v}}= (2,3) \\end{array} \\right\\}\\longrightarrow \\begin{array}{l}A=3 \\\\[2ex] B=-2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"226\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2b6b04e8dfd68b8def35fa3bbaa64bf0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0 \\ \\xrightarrow{A=3 \\ ; \\ B=-2} \\ 3x-2y+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"379\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u6211\u4eec\u53ea\u9700\u8981\u627e\u5230\u7cfb\u6570C\u5373\u53ef\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u5df2\u77e5\u5c5e\u4e8e\u8be5\u76f4\u7ebf\u7684\u70b9\u4ee3\u5165\u5176\u65b9\u7a0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6958f848b3f39930bc315b56f627f888_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6c69ba21229aff0ce0e69bfdb5148642_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x-2y+C=0 \\ \\xrightarrow{x=5 \\ ; \\ y=-1} \\ 3\\cdot 5-2\\cdot (-1)+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d4e6312f15b3fd4ac2bc2aabae1e9921_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3\\cdot 5-2\\cdot (-1)+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"179\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-28becadfb9d2d8ac4f75890ced2104a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"15+2+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"116\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ef53a4755f76828a7ff6fe031272b897_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"17+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-44fb6c0d7be5210f93ddff4d3467804a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=-17\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aac3a8e52996d238689b3d0a8e6636b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{3x-2y-17=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"131\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"hallar-la-ecuacion-implicita-general-o-cartesiana-a-partir-de-la-ecuacion-continua\"><\/span>\u4ece\u8fde\u7eed\u65b9\u7a0b\u4e2d\u627e\u5230\u9690\u5f0f\u65b9\u7a0b\uff08\u4e00\u822c\u65b9\u7a0b\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\uff09 <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<p>\u6211\u4eec\u521a\u521a\u770b\u5230\u4e86\u4e00\u79cd\u6c42\u76f4\u7ebf\u4e00\u822c\u65b9\u7a0b\u7684\u65b9\u6cd5\u3002\u7136\u800c\uff0c\u8fd8\u6709\u53e6\u4e00\u79cd\u65b9\u6cd5\u662f\u6839\u636e\u5176\u8fde\u7eed\u65b9\u7a0b\u3002\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u8fd9\u662f\u5982\u4f55\u5b8c\u6210\u7684\uff1a<\/p>\n<ul>\n<li>\u8ba1\u7b97\u7531\u5176\u8fde\u7eed\u65b9\u7a0b\u5b9a\u4e49\u7684\u4ee5\u4e0b\u76f4\u7ebf\u7684\u4e00\u822c\uff08\u6216\u9690\u5f0f\uff09\u65b9\u7a0b\uff1a<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c544bb30c546d0bdfac70c96a01e491c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x-1}{-2}=\\cfrac{y+4}{6}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u4ea4\u53c9\u5206\u6570\u76f8\u4e58\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5e1562a3bfaf00b6148982d3a22f16fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x-1)\\cdot 6 = (y+4) \\cdot (-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"201\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u5176\u6b21\uff0c\u6211\u4eec\u4f7f\u7528\u5206\u914d\u5f8b\u6c42\u89e3\u62ec\u53f7\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4a5015c149432f28f6d156f67c5b6c50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x-6=-2y-8\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"136\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u63a5\u4e0b\u6765\uff0c\u6211\u4eec\u5c06\u6240\u6709\u9879\u79fb\u81f3\u65b9\u7a0b\u5de6\u4fa7\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2643bb0162111ac1013df126d610b2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x-6+2y+8=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"153\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6700\u540e\uff0c\u6211\u4eec\u5bf9\u5404\u9879\u8fdb\u884c\u5206\u7ec4\uff0c\u4ece\u800c\u5f97\u5230\u8be5\u76f4\u7ebf\u7684\u4e00\u822c\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-657ab3ede221a5ad929ee5b28e5b2f8e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{6x+2y+2=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"122\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-ecuacion-implicita-o-general-o-cartesiana\"><\/span>\u89e3\u51b3\u4e86\u9690\u5f0f\u6216\u4e00\u822c\uff08\u6216\u7b1b\u5361\u5c14\uff09\u65b9\u7a0b\u7684\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u5199\u51fa\u7ecf\u8fc7\u8be5\u70b9\u7684\u76f4\u7ebf\u7684\u4e00\u822c\u65b9\u7a0b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-650eb7688af6737ac325425b5c9a5982_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5e76\u4e14\u6709<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-391ac2e3ba0b7f327ba5a0edc1ba162d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4f5c\u4e3a\u5f15\u5bfc\u5411\u91cf\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0ac8333fee6f038c9bd4a797de20c372_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (-1,2) \\qquad P(4,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u76f4\u7ebf\u7684\u4e00\u822c\u65b9\u7a0b\u7684\u516c\u5f0f\u4e3a\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u627e\u5230 A\u3001B \u548c C\u3002\u53d8\u91cf A \u548c B \u662f\u4ece\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\u7684\u5750\u6807\u83b7\u5f97\u7684\uff0c\u56e0\u4e3a\u4ee5\u4e0b\u7b49\u5f0f\u59cb\u7ec8\u5f97\u5230\u9a8c\u8bc1\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caffe051bad6b2835981c69786d9c98f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u7cfb\u6570 A \u662f\u5411\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5750\u6807\uff0c\u7cfb\u6570 B \u662f\u5411\u91cf\u6539\u53d8\u7b26\u53f7\u7684\u7b2c\u4e00\u4e2a\u5750\u6807\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-15c402d83a5709078a01311ddec1f4cd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}\\vv{\\text{v}}= (-B,A) \\\\[2ex] \\vv{\\text{v}}= (-1,2) \\end{array} \\right\\}\\longrightarrow \\begin{array}{l}A=2 \\\\[2ex] B=1 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"212\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c50e0ee2421cff2b8cf5c8ffc82e0f80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0 \\ \\xrightarrow{A=2 \\ ; \\ B=1} \\ 2x+y+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"360\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u53ea\u9700\u8981\u627e\u5230\u7cfb\u6570C\u5373\u53ef\u3002 \u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u5c06\u5df2\u77e5\u5c5e\u4e8e\u8be5\u76f4\u7ebf\u7684\u70b9\u4ee3\u5165\u8be5\u76f4\u7ebf\u7684\u65b9\u7a0b\u4e2d\uff0c\u5e76\u6c42\u89e3\u5f97\u5230\u7684\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1a3ca83f6738484ec97dd8a1fcaed606_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(4,0)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5ea9a46a36c61804bd5f87dde30ca64e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+y+C=0 \\ \\xrightarrow{x=4 \\ ; \\ y=0} \\ 2\\cdot 4+0+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"346\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12e5d2a1c2ea8a7ee27172fe7ed854e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"77\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-804d2ff5056b7e9b558dc9bf554275fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=-8\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"61\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u7b80\u800c\u8a00\u4e4b\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-91ca258f95703f3bd371b2f35a98818b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{2x+y-8=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e602<\/h3>\n<p>\u8ba1\u7b97\u4e0b\u9762\u4e00\u884c\u7684\u7b1b\u5361\u5c14\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73437ba2fa33523cdce19e03c7ba120f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{4}=\\cfrac{y-2}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8be5\u65b9\u7a0b\u8868\u793a\u4e3a\u8fde\u7eed\u65b9\u7a0b\uff0c\u56e0\u6b64\u8981\u627e\u5230\u5176\u9690\u542b\u65b9\u7a0b\uff0c\u6211\u4eec\u9700\u8981\u4ea4\u53c9\u5206\u6570\u5e76\u5c06\u6240\u6709\u9879\u653e\u5165\u65b9\u7a0b\u7684\u4e00\u4fa7\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-73437ba2fa33523cdce19e03c7ba120f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x+3}{4}=\\cfrac{y-2}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cb15a76999dd41b90d5881d6309393a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(x+3)\\cdot 5 = (y-2) \\cdot 4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39f2288c7c2f5bd5031b1e30710f4a2c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x+15=4y-8\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"131\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c60e4c58862ac43328a430f694c41250_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5x+15-4y+8=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"161\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b3d7bc4215a277ce7985e5403b9d8739_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{5x-4y+23=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"131\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e603<\/h3>\n<p>\u786e\u5b9a\u4e0b\u4e00\u6761\u7ebf\u4e0a\u7684\u70b9\u53ca\u5176\u65b9\u5411\u5411\u91cf\u3002\u8be5\u7ebf\u7531\u5176\u4e00\u822c\u65b9\u7a0b\u8868\u793a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-787d9dd65ff39f8995438c5fe426c153_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x-3y+6= 0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"126\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u76f4\u7ebf\u65b9\u5411\u5411\u91cf\u7684\u5206\u91cf\u53ef\u4ee5\u7531\u76f4\u7ebf\u4e00\u822c\u65b9\u7a0b\u7684\u7cfb\u6570A\u548cB\u83b7\u5f97\uff1a\u5411\u91cf\u7684\u7b2c\u4e00\u4e2a\u5206\u91cf\u5bf9\u5e94\u4e8e\u7cfb\u6570B\u6539\u53d8\u7b26\u53f7\uff0c\u5411\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5206\u91cf\u7b49\u4e8e\u7cfb\u6570A\u3002\u6240\u4ee5\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caffe051bad6b2835981c69786d9c98f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6460199d00deb804cacf7b084fb34328_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\mathbf{v}}=\\bm{(3,-1)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"87\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u53e6\u4e00\u65b9\u9762\uff0c\u8981\u8ba1\u7b97\u7ebf\u4e0a\u7684\u70b9\uff0c\u5fc5\u987b\u4e3a\u53d8\u91cf\u8d4b\u503c\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u505a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8203ced39e0cdafefa708857c7ec2264_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a486419e5420a83e35e25662f4b36ede_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x-3y+6= 0 \\ \\xrightarrow{x \\ = \\ 0} \\ -0 -3y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-64b5e0e341c77fefe8847a634f4694d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3y +6 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"94\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9eed9d556326695e2835458bb0927cd5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-3y =-6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"78\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c321ec02fd2057be382b6a4f9307bca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y =\\cfrac{-6}{-3}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"66\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f93a947c2c010dcb5c844ac76d3978a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y =2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"41\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u8fd9\u6761\u7ebf\u7684\u8981\u70b9\u662f\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-db181a7707e98b4fe66bf706c616570a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{P(0,2)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u60a8\u53ef\u80fd\u4f1a\u5f97\u5230\u4e0d\u540c\u7684\u89c2\u70b9\uff0c\u56e0\u4e3a\u8fd9\u53d6\u51b3\u4e8e\u60a8\u8d4b\u4e88\u53d8\u91cf X\uff08\u6216\u53d8\u91cf Y\uff09\u7684\u503c\uff0c\u4f46\u5982\u679c\u60a8\u9075\u5faa\u76f8\u540c\u7684\u8fc7\u7a0b\uff0c\u5b83\u4e5f\u662f\u6b63\u786e\u7684\u3002\u53e6\u4e00\u65b9\u9762\uff0c\u7ebf\u7684\u65b9\u5411\u5411\u91cf\u5fc5\u987b\u4e0e\u8ba1\u7b97\u7684\u65b9\u5411\u5411\u91cf\u76f8\u540c\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e604<\/h3>\n<p>\u6c42\u901a\u8fc7\u4ee5\u4e0b\u4e24\u70b9\u7684\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-495ee47765b8846a73c48ecefdd4e4d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(4,-1) \\qquad B(-2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"169\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u4e0d\u77e5\u9053\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c\u6240\u4ee5\u6211\u4eec\u9996\u5148\u9700\u8981\u627e\u5230\u5b83\u7684\u65b9\u5411\u5411\u91cf\uff0c\u7136\u540e\u627e\u5230\u76f4\u7ebf\u7684\u65b9\u7a0b\u3002<\/p>\n<p class=\"has-text-align-left\">\u8981\u627e\u5230\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c\u53ea\u9700\u8ba1\u7b97\u7531\u4e24\u4e2a\u7ed9\u5b9a\u70b9\u5b9a\u4e49\u7684\u5411\u91cf\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ce35499a23f6584ffd0576afed2c5e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{AB}=B-A= (-2,3)- (4,-1) = (-6,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"328\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c\u6211\u4eec\u73b0\u5728\u5c31\u53ef\u4ee5\u6839\u636e\u5176\u516c\u5f0f\u786e\u5b9a\u5176\u9690\u5f0f\uff08\u6216\u4e00\u822c\u6216\u7b1b\u5361\u5c14\uff09\u65b9\u7a0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u672a\u77e5\u6570 A \u548c B \u662f\u4ece\u76f4\u7ebf\u65b9\u5411\u5411\u91cf\u7684\u5750\u6807\u83b7\u5f97\u7684\uff0c\u56e0\u4e3a\u7cfb\u6570 A \u662f\u5411\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5750\u6807\uff0c\u800c\u7cfb\u6570 B \u662f\u5411\u91cf\u6539\u53d8\u7b26\u53f7\u7684\u7b2c\u4e00\u4e2a\u5750\u6807\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-755b240827816e7b9ad1db0d3bee1ea6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}\\vv{\\text{v}}= (-B,A) \\\\[2ex] \\vv{\\text{v}}= (-6,4) \\end{array} \\right\\}\\longrightarrow \\begin{array}{l}A=4 \\\\[2ex] B=6 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"213\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7218da043f2d91428f6455ce38ddf65f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0 \\ \\xrightarrow{A=4 \\ ; \\ B=6} \\ 4x+6y+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"368\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u627e\u5230\u7cfb\u6570 C \u5c31\u8db3\u591f\u4e86\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u5df2\u77e5\u5c5e\u4e8e\u8be5\u76f4\u7ebf\u7684\u70b9\u4ee3\u5165\u8be5\u76f4\u7ebf\u7684\u65b9\u7a0b\u4e2d\uff0c\u5e76\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4ebe82a554c66fe706b4972442e48b1d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(4,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ea0168d2b6b4fbb8236b1ee506f5ab0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4x+6y+C=0\\ \\xrightarrow{x=4 \\ ; \\ y=-1} \\ 4\\cdot 4+6\\cdot (-1)+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"414\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c2b3010859108cd1ed9d0cb81e97bcb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"16-6+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"116\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cdc1740c15900f571835162e29a76e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"10+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d92b0b5c6adb09a75d9c70ef8635a78d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=-10\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-39b11bfd8521ce51ed478bfbb4d8c3f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{4x+6y-10=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"131\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e605<\/h3>\n<p>\u6c42\u5782\u76f4\u4e8e\u76f4\u7ebf\u7684\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4ee5\u53ca\u6574\u4e2a\u8fc7\u7a0b\u4e2d\u4f1a\u53d1\u751f\u4ec0\u4e48<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e752b7bc42cb82c8a15d9523a8481481_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c88aee465a9bb24cc661408b512f3ece_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\; 3x-2y+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"150\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e24\u6761\u5782\u76f4\u7ebf\u5177\u6709\u5f7c\u6b64\u6b63\u4ea4\u7684\u65b9\u5411\u5411\u91cf\uff0c\u56e0\u6b64\u6211\u4eec\u9700\u8981\u627e\u5230\u8be5\u7ebf\u7684\u65b9\u5411\u5411\u91cf<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7136\u540e\u662f\u5782\u76f4\u4e8e\u5b83\u7684\u5411\u91cf\u3002<\/p>\n<p class=\"has-text-align-left\">\u7ebf\u7684\u65b9\u5411\u5411\u91cf\u7684\u5206\u91cf<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c409433a9e2dfcdb83360a974d243f18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u5b83\u4eec\u53ef\u4ee5\u4ece\u76f4\u7ebf\u4e00\u822c\u65b9\u7a0b\u7684\u7cfb\u6570 A \u548c B \u4e2d\u83b7\u5f97\uff1a\u77e2\u91cf\u7684\u7b2c\u4e00\u4e2a\u5206\u91cf\u5bf9\u5e94\u4e8e\u7cfb\u6570 B \u6539\u53d8\u7b26\u53f7\uff0c\u77e2\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5206\u91cf\u7b49\u4e8e\u7cfb\u6570 A\u3002 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c88aee465a9bb24cc661408b512f3ece_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\; 3x-2y+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"150\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caffe051bad6b2835981c69786d9c98f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}= (-B,A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94dc0f7dd2f4c48b5d066203b85ed98a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_r=(2,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u73b0\u5728\u9700\u8981\u627e\u5230\u4e00\u4e2a\u5782\u76f4\u5411\u91cf\u3002\u4e3a\u6b64\uff0c\u53ea\u9700\u63d2\u5165\u5411\u91cf\u7684\u5750\u6807\u5e76\u66f4\u6539\u5176\u4e2d\u4e4b\u4e00\u7684\u7b26\u53f7\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7bf6d58cf4b538bef14c2ab4e057e5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}_\\perp=(-3,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8fd9\u5c06\u662f\u5782\u76f4\u4e8e<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-aa03a29f511592c1a1ecc8b306b0cf0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c\u6211\u4eec\u73b0\u5728\u5c31\u53ef\u4ee5\u6839\u636e\u5176\u516c\u5f0f\u786e\u5b9a\u5176\u9690\u5f0f\uff08\u6216\u4e00\u822c\u6216\u7b1b\u5361\u5c14\uff09\u65b9\u7a0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-02f4d03229cc8bd79a81b676a8132f37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"137\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u672a\u77e5\u6570 A \u548c B \u662f\u4ece\u76f4\u7ebf\u65b9\u5411\u5411\u91cf\u7684\u5750\u6807\u83b7\u5f97\u7684\uff0c\u56e0\u4e3a\u7cfb\u6570 A \u662f\u5411\u91cf\u7684\u7b2c\u4e8c\u4e2a\u5750\u6807\uff0c\u800c\u7cfb\u6570 B \u662f\u5411\u91cf\u6539\u53d8\u7b26\u53f7\u7684\u7b2c\u4e00\u4e2a\u5750\u6807\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b5e5ee9e1174add4678338ba04a5e3b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c}\\vv{\\text{v}}= (-B,A) \\\\[2ex] \\vv{\\text{v}}_\\perp= (-3,2) \\end{array} \\right\\}\\longrightarrow \\begin{array}{l}A=2 \\\\[2ex] B=3 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"215\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\u5982\u4e0b\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-395e3bb6d87506f87ff0e6ce6f5cb08e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Ax+By+C=0 \\ \\xrightarrow{A=2 \\ ; \\ B=3} \\ 2x+3y+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"368\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u627e\u5230\u7cfb\u6570 C \u5c31\u8db3\u591f\u4e86\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u5c06\u5df2\u77e5\u5c5e\u4e8e\u8be5\u76f4\u7ebf\u7684\u70b9\u4ee3\u5165\u8be5\u76f4\u7ebf\u7684\u65b9\u7a0b\u4e2d\uff0c\u5e76\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-666561b6519d3621b67c6d5ecc98a701_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ca791d96852861ee98db260ee263a767_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+3y+C=0\\ \\xrightarrow{x=2 \\ ; \\ y=2} \\ 2\\cdot 2+3\\cdot 2+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"24\" width=\"376\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a1c9844159152980aabbd3a2afdb4111_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4+6+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"108\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cdc1740c15900f571835162e29a76e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"10+C=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"85\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d92b0b5c6adb09a75d9c70ef8635a78d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"C=-10\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"70\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u8be5\u76f4\u7ebf\u7684\u9690\u5f0f\u3001\u4e00\u822c\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\u4e3a\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2909e489d199bfb6bb5bf55ea5db969d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{2x+3y-10=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"131\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u76f4\u7ebf\u7684\u9690\u5f0f\u65b9\u7a0b\uff08\u4e5f\u79f0\u4e3a\u76f4\u7ebf\u7684\u4e00\u822c\u65b9\u7a0b\u6216\u7b1b\u5361\u5c14\u65b9\u7a0b\uff09\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u5404\u79cd\u793a\u4f8b\uff0c\u751a &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%9b%b4%e7%ba%bf%e7%9a%84%e4%b8%80%e8%88%ac%e6%88%96%e9%9a%90%e5%bc%8f%e7%ac%9b%e5%8d%a1%e5%b0%94%e6%96%b9%e7%a8%8b\/\"> <span class=\"screen-reader-text\">\u76f4\u7ebf\u7684\u9690\u5f0f\u6216\u4e00\u822c\uff08\u6216\u7b1b\u5361\u5c14\uff09\u65b9\u7a0b<\/span> \u67e5\u770b\u5168\u6587 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[15],"tags":[],"class_list":["post-223","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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