{"id":253,"date":"2023-07-10T09:54:04","date_gmt":"2023-07-10T09:54:04","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e6%9d%a1%e5%b9%b3%e8%a1%8c%e7%ba%bf%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0%e7%9a%84%e5%85%ac%e5%bc%8f\/"},"modified":"2023-07-10T09:54:04","modified_gmt":"2023-07-10T09:54:04","slug":"%e4%b8%a4%e6%9d%a1%e5%b9%b3%e8%a1%8c%e7%ba%bf%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0%e7%9a%84%e5%85%ac%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e6%9d%a1%e5%b9%b3%e8%a1%8c%e7%ba%bf%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0%e7%9a%84%e5%85%ac%e5%bc%8f\/","title":{"rendered":"\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u786e\u5b9a\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u793a\u4f8b\u5e76\u7ec3\u4e60\u5df2\u89e3\u51b3\u7684\u5e73\u884c\u7ebf\u4e4b\u95f4\u8ddd\u79bb\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-rectas-paralelas\"><\/span>\u4ec0\u4e48\u662f\u4e24\u6761\u5e73\u884c\u7ebf\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5728\u4e86\u89e3\u5982\u4f55\u8ba1\u7b97\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e4b\u524d\uff0c\u8ba9\u6211\u4eec\u7b80\u5355\u56de\u987e\u4e00\u4e0b\u4e24\u6761\u7ebf\u4e4b\u95f4\u5e73\u884c\u5ea6\u7684\u6982\u5ff5\uff1a<\/p>\n<p><strong>\u5e73\u884c\u7ebf\u662f\u90a3\u4e9b\u6c38\u8fdc\u4e0d\u76f8\u4ea4\u7684\u7ebf\uff0c\u4e5f\u5c31\u662f\u8bf4\uff0c\u5373\u4f7f\u5b83\u4eec\u7684\u8f68\u8ff9\u5ef6\u4f38\u5230\u65e0\u7a77\u8fdc\uff0c\u5b83\u4eec\u4e5f\u6c38\u8fdc\u4e0d\u4f1a\u4e92\u76f8\u63a5\u89e6\u3002<\/strong>\u56e0\u6b64\uff0c\u4e24\u6761\u5e73\u884c\u7ebf\u7684\u70b9\u5f7c\u6b64\u4e4b\u95f4\u7684\u8ddd\u79bb\u59cb\u7ec8\u76f8\u540c\uff0c\u800c\u4e14\u4e24\u6761\u5e73\u884c\u7ebf\u6ca1\u6709\u516c\u5171\u70b9\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e24\u6761\u7ebf\u662f\u5e73\u884c\u7684\uff1a <\/p>\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\/droites-paralleles-a-langle.webp\" alt=\"\u4ec0\u4e48\u662f\u5e73\u884c\u7ebf\" class=\"wp-image-1643\" width=\"212\" height=\"191\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u4e00\u822c\u75282\u4e2a\u7ad6\u6761||\u6765\u8868\u793a\u4e24\u6761\u7ebf\u5e73\u884c\u5b57\u91cc\u884c\u95f4<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5c3d\u7ba1\u4e24\u6761\u5e73\u884c\u7ebf\u6c38\u8fdc\u4e0d\u4f1a\u76f8\u4ea4\uff0c\u4f46\u5728\u89e3\u6790\u51e0\u4f55\u4e2d\u6211\u4eec\u8bf4\u5b83\u4eec\u5f62\u6210 0\u00b0 \u89d2\uff0c\u56e0\u4e3a\u5b83\u4eec\u5177\u6709\u76f8\u540c\u7684\u65b9\u5411\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-distancia-entre-dos-rectas-paralelas-en-el-plano\"><\/span>\u5982\u4f55\u8ba1\u7b97\u5e73\u9762\u5185\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u8981\u627e\u5230\u5e73\u9762\u4e2d\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u5728 R2 \u4e2d\uff09\uff0c\u53ea\u9700\u5728\u4e24\u6761\u7ebf\u4e0a\u53d6\u4e00\u70b9\u5e76\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u6761\u7ebf\u7684\u8ddd\u79bb\u5373\u53ef\u3002<\/strong><\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u8fd9\u6837\u505a\uff0c\u56e0\u4e3a\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u59cb\u7ec8\u76f8\u540c\u3002 <\/p>\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\/distance-entre-un-point-et-une-ligne-en-ligne.webp\" alt=\"\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\" class=\"wp-image-1960\" width=\"421\" height=\"358\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u56e0\u6b64\uff0c\u8981\u627e\u5230\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u60a8\u9700\u8981\u77e5\u9053<a href=\"https:\/\/mathority.org\/cn\/\u70b9\u4e0e\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u793a\u4f8b\/\">\u70b9\u548c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u516c\u5f0f<\/a>\u3002\u5982\u679c\u60a8\u4e0d\u8bb0\u5f97\u662f\u600e\u4e48\u56de\u4e8b\uff0c\u5728\u94fe\u63a5\u4e2d\u60a8\u53ef\u4ee5\u67e5\u770b\u5982\u4f55\u786e\u5b9a\u70b9\u548c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u6b64\u5916\u60a8\u8fd8\u53ef\u4ee5\u770b\u5230\u9010\u6b65\u89e3\u51b3\u7684\u793a\u4f8b\u548c\u7ec3\u4e60\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5982\u679c\u4f7f\u7528\u516c\u5f0f\u65f6\u6211\u4eec\u5f97\u5230\u7684\u8ddd\u79bb\u4e3a 0 \u4e2a\u5355\u4f4d\uff0c\u5219\u610f\u5473\u7740\u8fd9\u4e9b\u7ebf\u5728\u67d0\u4e2a\u70b9\u5f7c\u6b64\u63a5\u89e6\uff0c\u56e0\u6b64\u8fd9\u4e9b\u7ebf\u4e0d\u662f\u5e73\u884c\u7684\uff0c\u800c\u662f\u76f8\u4ea4\u3001\u91cd\u5408\u6216\u5782\u76f4\u7684\u3002\u5982\u679c\u60a8\u613f\u610f\uff0c\u60a8\u53ef\u4ee5\u5728\u6211\u4eec\u7684\u7f51\u7ad9\u4e0a\u67e5\u770b\u6b64\u7c7b\u7ebf\u8def\u4e4b\u95f4\u7684\u5dee\u5f02\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-distancia-entre-dos-rectas-paralelas\"><\/span>\u5982\u4f55\u6c42\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u73b0\u5728\u8ba9\u6211\u4eec\u901a\u8fc7\u4e00\u4e2a\u4f8b\u5b50\u6765\u770b\u770b\u5982\u4f55\u89e3\u51b3\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u95ee\u9898\uff1a<\/p>\n<ul>\n<li>\u6c42\u4e0b\u5217\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\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-8be694174fbd8330f207d16a9fb4bb89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ 2x-4y-6=0 \\qquad \\qquad s: \\ -x+2y+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"378\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u9700\u8981\u505a\u7684\u7b2c\u4e00\u4ef6\u4e8b\u662f\u5728\u4e00\u6761\u7ebf\u4e0a\uff08\u60a8\u60f3\u8981\u7684\u7ebf\uff09\u4e0a\u5f97\u5230\u4e00\u4e2a\u70b9\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9<\/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-23a7daa116b8874af1538c91f8d239de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u6b64\uff0c\u6211\u4eec\u5fc5\u987b\u4e3a\u5176\u4e2d\u4e00\u4e2a\u53d8\u91cf\u8d4b\u4e88\u4e00\u4e2a\u503c\uff0c\u4f8b\u5982\u6211\u4eec\u5c06\u8fd9\u6837\u505a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/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-3b748efe6f89a8c847e2e6c2d5a78db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x+2y+4 =0 \\ \\xrightarrow{x \\ = \\ 0} \\ -0+2y+4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"321\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u73b0\u5728\u6211\u4eec\u6e05\u9664\u53e6\u4e00\u4e2a\u53d8\u91cf\uff08<\/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-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> \uff09\u5f97\u51fa\u7684\u65b9\u7a0b\u53ef\u4ee5\u77e5\u9053\u6b64\u65f6\u5b83\u7684\u4ef7\u503c\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-91edb06d37339167f458f910de16d57b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2y=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"65\" 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-9901e9a85409e4bcbfcbffdcf97cb175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{-4}{2}\" 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-50b25376eef215b49997f236615b6d6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4ece\u76f4\u7ebf\u5f97\u5230\u7684\u70b9<\/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-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e1c\u65b9\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-a9176e7fde633e028a8349a5bc422e03_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e00\u65e6\u6211\u4eec\u5728\u4e00\u6761\u7ebf\u4e0a\u6709\u4e86\u4e00\u4e2a\u70b9\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u70b9\u5230\u7ebf\u8ddd\u79bb\u7684\u516c\u5f0f\u6765\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u6761\u7ebf\u7684\u8ddd\u79bb\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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/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-4ee823834d0436c46be7a7c28faf1be3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 2\\cdot 0 + (-4)\\cdot (-2) +(-6)\\rvert}{\\sqrt{2^2+(-4)^2}}= \\cfrac{\\lvert 0+8-6\\rvert}{\\sqrt{4+16}}={\\cfrac{2}{\\sqrt{20}}=\\bm{0,45}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"503\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p><strong>\u56e0\u6b64\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u76f8\u5f53\u4e8e 0.45 \u4e2a\u5355\u4f4d<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancias-entre-dos-rectas-paralelas\"><\/span>\u89e3\u51b3\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u95ee\u9898<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u4e0b\u9762\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u662f\u591a\u5c11\uff1f <\/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-9ad10fd8e20d413e433851810e823172_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ x+3y-4=0 \\qquad \\qquad s: \\ 2x+6y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"364\" 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\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u9a8c\u8bc1\u8fd9\u662f\u4e24\u6761\u5e73\u884c\u7ebf\u3002\u4e3a\u6b64\uff0c\u53d8\u91cf\u7684\u7cfb\u6570<\/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-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>\u5fc5\u987b\u5f7c\u6b64\u6210\u6bd4\u4f8b\uff0c\u4f46\u4e0d\u4e0e\u72ec\u7acb\u9879\u6210\u6bd4\u4f8b\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-1a5385dff1a5c143885cac238927cea7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{2} = \\cfrac{3}{6}\\neq \\cfrac{-4}{6} \\ \\longrightarrow \\ \\text{Paralelas}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"220\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u4e9b\u7ebf\u662f\u5e73\u884c\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u8be5\u8fc7\u7a0b\u3002<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u4ece\u5176\u4e2d\u4e00\u6761\u7ebf\uff08\u60a8\u60f3\u8981\u7684\u7ebf\uff09\u4e2d\u83b7\u53d6\u4e00\u4e2a\u70b9\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9<\/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-23a7daa116b8874af1538c91f8d239de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u6b64\uff0c\u60a8\u5fc5\u987b\u4e3a\u5176\u4e2d\u4e00\u4e2a\u53d8\u91cf\u8d4b\u503c\uff0c\u4f8b\u5982\u6211\u4eec\u5c06\u8fd9\u6837\u505a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/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-cfbc09666c2be26abbecc34491f0f0a3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2x+6y+6=0 \\ \\xrightarrow{x \\ = \\ 0} \\ 2\\cdot 0+6y+6=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"325\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u6e05\u9664\u53e6\u4e00\u4e2a\u53d8\u91cf\uff08<\/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-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> ) \u5f97\u5230\u7684\u65b9\u7a0b\u5373\u53ef\u77e5\u9053\u6b64\u65f6\u7684\u503c\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-d2147ae4d002aba7f27fda064a5f3d15_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6y=-6\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"65\" 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-011e4abb1bbc3ef5f362695736e2b1f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{-6}{6}\" 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-8330e0406bdbde3e65e8142fafceeee6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= -1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"55\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8fd9\u6837\u4ece\u76f4\u7ebf\u4e0a\u5f97\u5230\u7684\u70b9<\/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-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e1c\u65b9\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-d4834bffe8509fbc113d7be09e378a7e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"66\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e00\u6761\u7ebf\u4e0a\u7684\u70b9\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u6761\u7ebf\u7684\u8ddd\u79bb\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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/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-04bdc4f7bf4e33872b9a1dae673198df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 1\\cdot 0 + 3\\cdot (-1) +(-4)\\rvert}{\\sqrt{1^2+3^2}}= \\cfrac{7}{\\sqrt{10}}=\\bm{2,21}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"371\" style=\"vertical-align: -16px;\"><\/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\u4ee5\u4e0b\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\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-5e0e2409fa6663f661839f4c34bfe566_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ 2x+y+5=0 \\qquad \\qquad s: \\ 8x+4y-4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"364\" 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\">\u9996\u5148\uff0c\u6211\u4eec\u5c06\u9a8c\u8bc1\u8fd9\u662f\u4e24\u6761\u5e73\u884c\u7ebf\u3002\u4e3a\u6b64\uff0c\u53d8\u91cf\u7684\u7cfb\u6570<\/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-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>\u5fc5\u987b\u5f7c\u6b64\u6210\u6bd4\u4f8b\uff0c\u4f46\u4e0d\u4e0e\u72ec\u7acb\u9879\u6210\u6bd4\u4f8b\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-753fadf18aea36747c7df3ee7f2d23ed_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{8} = \\cfrac{1}{4}\\neq \\cfrac{5}{-4} \\ \\longrightarrow \\ \\text{Paralelas}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"212\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e8b\u5b9e\u4e0a\uff0c\u8fd9\u4e9b\u7ebf\u662f\u5e73\u884c\u7684\uff0c\u56e0\u6b64\u6211\u4eec\u53ef\u4ee5\u5e94\u7528\u8be5\u8fc7\u7a0b\u3002<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u9700\u8981\u4ece\u5176\u4e2d\u4e00\u6761\u7ebf\uff08\u60a8\u60f3\u8981\u7684\u7ebf\uff09\u4e2d\u83b7\u53d6\u4e00\u4e2a\u70b9\u3002\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9<\/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-23a7daa116b8874af1538c91f8d239de_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s.\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"12\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e3a\u6b64\uff0c\u60a8\u5fc5\u987b\u4e3a\u5176\u4e2d\u4e00\u4e2a\u53d8\u91cf\u8d4b\u503c\uff0c\u4f8b\u5982\u6211\u4eec\u5c06\u8fd9\u6837\u505a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/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-fda105123e96f40cd1d4ea4ba5dc8500_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"8x+4y-4=0 \\ \\xrightarrow{x \\ = \\ 0} \\ 8\\cdot 0+4y-4=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"325\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u6e05\u9664\u53e6\u4e00\u4e2a\u53d8\u91cf\uff08<\/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-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> ) \u5f97\u51fa\u7684\u65b9\u7a0b\u6c42\u51fa\u6b64\u65f6\u7684\u503c\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-05cfd5a65aaa9b77072c6d565162e807_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4y=4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"51\" 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-ba18f04fcf90b8f0ae5a0e1c02566459_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= \\cfrac{4}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"44\" 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-4990c34f3687d7c53883522e81db4278_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y= 1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"41\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u8fd9\u6837\u4ece\u76f4\u7ebf\u4e0a\u5f97\u5230\u7684\u70b9<\/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-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4e1c\u65b9\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-36f2ed872a167a169d9067f4030a0d5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(0,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e00\u6761\u7ebf\u4e0a\u7684\u70b9\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u6761\u7ebf\u7684\u8ddd\u79bb\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-8064e6650ca06c9d921e13e956ab02a8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/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-bd8c9fdc3ea9f8063af0eadf3ec4f20f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,r)= \\cfrac{\\lvert 2\\cdot 0 + 1\\cdot 1 +5\\rvert}{\\sqrt{2^2+1^2}}= \\cfrac{6}{\\sqrt{5}}=\\bm{2,68}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"308\" style=\"vertical-align: -16px;\"><\/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>\u8ba1\u7b97\u672a\u77e5\u6570\u7684\u503c<\/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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6240\u4ee5\u63a5\u4e0b\u6765\u7684\u4e24\u6761\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u662f 5 \u4e2a\u5355\u4f4d\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-f02cb0736defe1bd7bc4d0c89e04d910_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r: \\ 6x-8y+10=0 \\qquad \\qquad s: \\ -3x+4y+k=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"397\" 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\">\u7531\u4e8e\u6211\u4eec\u5728\u4e8c\u7ef4\u4e2d\u5de5\u4f5c\uff0c\u4e3a\u4e86\u4f7f\u4e24\u6761\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e0d\u4e3a\u96f6\uff0c\u5b83\u4eec\u5fc5\u987b\u5e73\u884c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u901a\u8fc7\u70b9\u4e0e\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\u6765\u8ba1\u7b97\u4e24\u6761\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u5e76\u4ece\u8be5\u65b9\u7a0b\u4e2d\u6211\u4eec\u5c06\u5f97\u5230<\/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-4a22b46fd6f4018a6b70bc870f75be7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e3a\u6b64\uff0c\u6211\u4eec\u9700\u8981\u8ba1\u7b97\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9<\/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-c5986f031932e6b3512dc564514c34b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"r:\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"17\" style=\"vertical-align: 0px;\"><\/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-c05d7d15cd3ac8d67a7d29cbfd3777b2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6x-8y+10=0 \\ \\xrightarrow{x \\ = \\ 1} \\ 6\\cdot 1 -8y+10=0\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"343\" 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-edb38cfbae9d72bc191f6f0e2679dfaa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"6-8y+10=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"121\" 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-36ce8fb22280b5506ccebe65f06675d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-8y=-16\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"87\" 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-ba693499ba9c748d3b65d0954f5f3db8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y=\\cfrac{-16}{-8} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6240\u4ee5\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9<\/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>\u4e1c\u65b9\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-d26257abb9047188ab3e3887f447e20a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5c1d\u8bd5\u8ba1\u7b97\u5c5e\u4e8e\u8be5\u7ebf\u7684\u70b9\u4e4b\u95f4\u7684\u8ddd\u79bb<\/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>\uff08\u89c2\u70b9<\/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>\uff09\u548c\u7ebf<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae1901659f469e6be883797bfd30f4f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u7528\u516c\u5f0f\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-2b9e56adea3e949523cf139817ba4d4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,s)= \\cfrac{\\lvert A\\cdot p_x + B\\cdot p_y +C\\rvert}{\\sqrt{A^2+B^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"232\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u7528\u5b83\u7684\u503c\u66ff\u6362\u6bcf\u4e00\u9879\u5e76\u7b80\u5316\u8868\u8fbe\u5f0f\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-636120fd2c45edb2b8bb4380625020ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,s)= \\cfrac{\\lvert -3\\cdot 1 + 4\\cdot 2+k\\rvert}{\\sqrt{(-3)^2+4^2}}= \\cfrac{\\lvert -3+8+k\\rvert}{\\sqrt{9+16}}=\\cfrac{\\lvert 5+k\\rvert}{\\sqrt{25}}=\\cfrac{\\lvert 5+k\\rvert}{5}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"487\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u95ee\u9898\u9648\u8ff0\u544a\u8bc9\u6211\u4eec\u4e24\u6761\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u5fc5\u987b\u7b49\u4e8e 5\uff0c\u56e0\u6b64\u6211\u4eec\u5c06\u524d\u9762\u7684\u8868\u8fbe\u5f0f\u7b49\u4e8e 5\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-d640cd81d4c9fd88dc9ca6981aeb1de7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{\\lvert 5+k\\rvert}{5}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"82\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u6c42\u89e3\u6240\u5f97\u65b9\u7a0b\u3002\u5206\u6570\u7684\u5206\u5b50\u4e2d\u5b58\u5728\u7edd\u5bf9\u503c\uff0c\u56e0\u6b64\u5fc5\u987b\u5206\u522b\u5206\u6790\u7edd\u5bf9\u503c\u4f55\u65f6\u4e3a\u6b63\u3001\u4f55\u65f6\u4e3a\u8d1f\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-65\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-51338fa442cd4801901212feff98e3ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{+(5+k)}{5}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"107\" 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-b85550207a41283bbae59ef56fbe79d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5+k= 5 \\cdot 5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"94\" 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-d6e6065439c331592d2f2e07744f31f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"5+k= 25\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" 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-f695537f3cd735f4d6ef5ed634f88c0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k= 25-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"81\" style=\"vertical-align: 0px;\"><\/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-d89291cd408d018a89f521a969f8ff10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{k= 20}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-93f943aaf59aa56c3c1eb11e51efa5a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-(5+k)}{5}=5\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"107\" 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-4cc82662079c8fbe5f8e90a9783bd42c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5-k= 5 \\cdot 5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"106\" style=\"vertical-align: 0px;\"><\/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-cf328a0a19677bd7541adeeb361bc398_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5-k= 25\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"94\" style=\"vertical-align: 0px;\"><\/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-882c5c32229850bd19bfcd3ea23c1e98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5-25=k\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"94\" style=\"vertical-align: 0px;\"><\/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-2d47c152c6b0eadfd97a045dd3ea677b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{-30=k}\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"63\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\u6709\u4e24\u4e2a\u53ef\u80fd\u7684\u503c<\/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-3422b6bb5c160593658b7c39425d9880_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u6b63\u786e\u7684\uff1a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-63b6df82552d61f16a4a8c4c10f35fcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=20\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"51\" style=\"vertical-align: 0px;\"><\/p>\n<p>\u4efb\u4f55\u4e00\u4e2a<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-151c51e4474f624b916bc3c841b6f3af_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=-30.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"69\" style=\"vertical-align: 0px;\"><\/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\u786e\u5b9a\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u793a\u4f8b\u5e76\u7ec3\u4e60\u5df2\u89e3\u51b3\u7684\u5e73\u884c\u7ebf\u4e4b\u95f4\u8ddd\u79bb\u7684\u7ec3\u4e60\u3002  &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e6%9d%a1%e5%b9%b3%e8%a1%8c%e7%ba%bf%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e7%a4%ba%e4%be%8b%e5%b7%b2%e8%a7%a3%e5%86%b3%e7%bb%83%e4%b9%a0%e7%9a%84%e5%85%ac%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u4e24\u6761\u5e73\u884c\u7ebf\u4e4b\u95f4\u7684\u8ddd\u79bb<\/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-253","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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