{"id":256,"date":"2023-07-10T08:10:10","date_gmt":"2023-07-10T08:10:10","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/"},"modified":"2023-07-10T08:10:10","modified_gmt":"2023-07-10T08:10:10","slug":"%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/","title":{"rendered":"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u67e5\u627e\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u60a8\u5c06\u7279\u522b\u770b\u5230\u73b0\u6709\u7684\u4e24\u79cd\u65b9\u6cd5\u4ee5\u53ca\u4f55\u65f6\u4f7f\u7528\u5176\u4e2d\u4e00\u79cd\u66f4\u597d\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u63d0\u4f9b\u4e86\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u8ddd\u79bb\u7684\u793a\u4f8b\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u5f88\u597d\u5730\u7406\u89e3\u5b83\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-calcula-la-distancia-entre-dos-planos\"><\/span>\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u662f\u5982\u4f55\u8ba1\u7b97\u7684\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u7a7a\u95f4\u4e2d\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u53d6\u51b3\u4e8e\u8fd9\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff1a<\/p>\n<ul>\n<li>\u5982\u679c\u4e24\u4e2a\u5e73\u9762<strong>\u76f8\u4ea4<\/strong>\u6216<strong>\u91cd\u5408<\/strong>\uff0c\u5219\u5b83\u4eec\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e3a\u96f6\uff0c\u56e0\u4e3a\u5b83\u4eec\u76f8\u4ea4\u4e8e\u4e00\u70b9\u3002<\/li>\n<li>\u5982\u679c\u4e24\u4e2a\u5e73\u9762<strong>\u5e73\u884c<\/strong>\uff0c\u5219\u901a\u8fc7\u5728\u4efb\u4e00\u5e73\u9762\u4e0a\u53d6\u4e00\u70b9\u5e76\u8ba1\u7b97\u8be5\u70b9\u4e0e\u53e6\u4e00\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u6765\u8ba1\u7b97\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002<\/li>\n<\/ul>\n<p>\u8bf7\u8bb0\u4f4f\uff0c\u5782\u76f4\u5e73\u9762\u662f\u76f8\u4ea4\u5e73\u9762\u7684\u4e00\u79cd\uff0c\u56e0\u6b64\u4e24\u4e2a\u5782\u76f4\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u4e5f\u4e3a\u96f6\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u5fc5\u987b\u9996\u5148\u786e\u5b9a\u5b83\u4eec\u4e4b\u95f4\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u56e0\u6b64\uff0c\u77e5\u9053 <a href=\"https:\/\/mathority.org\/cn\/\u7a7a\u95f4\u4e2d\u4e24\u4e2a\u5e73\u9762\u7684\u76f8\u5bf9\u4f4d\u7f6e-r3-\u793a\u4f8b\u5df2\u89e3\u51b3\u7ec3\u4e60\/\">\u5982\u4f55\u627e\u5230\u4e24\u4e2a\u5e73\u9762\u7684\u76f8\u5bf9\u4f4d\u7f6e<\/a>\u81f3\u5173\u91cd\u8981\u3002\u5982\u679c\u60a8\u4e0d\u5b8c\u5168\u6e05\u695a\u5982\u4f55\u64cd\u4f5c\uff0c\u6211\u4eec\u5efa\u8bae\u60a8\u67e5\u770b\u94fe\u63a5\uff0c\u60a8\u53ef\u4ee5\u5728\u5176\u4e2d\u627e\u5230\u975e\u5e38\u8be6\u7ec6\u7684\u89e3\u91ca\u4ee5\u53ca\u793a\u4f8b\u548c\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-calcular-la-distancia-entre-dos-planos-paralelos\"><\/span>\u5982\u4f55\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e24\u4e2a\u5e73\u884c\u5e73\u9762<strong>\u5f7c\u6b64\u4e4b\u95f4\u7684\u8ddd\u79bb\u59cb\u7ec8\u76f8\u540c\u3002\u56e0\u6b64\uff0c\u4e3a\u4e86\u627e\u5230\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u6211\u4eec\u53ef\u4ee5\u5728\u4e24\u4e2a\u5e73\u9762\u4e4b\u4e00\u4e0a\u53d6\u4e00\u70b9\uff0c\u5e76\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u4e2a\u5e73\u9762\u7684\u8ddd\u79bb\u3002<\/strong> <\/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-deux-plans-paralleles.webp\" alt=\"\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\" class=\"wp-image-2647\" width=\"401\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6240\u4ee5\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u516c\u5f0f\u662f\uff1a <\/p>\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\">\u8003\u8651\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\uff0c\u7ed9\u5b9a\u5176\u4e2d\u4e00\u4e2a\u5e73\u9762\u4e0a\u7684\u70b9\u548c\u53e6\u4e00\u4e2a\u5e73\u9762\u7684\u4e00\u822c\uff08\u6216\u9690\u5f0f\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-224b2b4bb57594d3fa92e148ada43cbf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(x_0,y_0,z_0) \\qquad \\qquad \\pi: \\ Ax+By+Cz+D=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"379\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\"><strong>\u6c42\u901a\u8fc7\u4e00\u4e2a\u5e73\u9762\u7684\u70b9\u4e0e\u53e6\u4e00\u4e2a\u5e73\u9762\u7684\u4e00\u822c\u65b9\u7a0b\u7684\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u516c\u5f0f<\/strong>\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-7fa5cd77905fa8723448de603b90b705_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"300\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u8fd9\u662f\u7528\u4e8e\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u8ddd\u79bb\u7684\u516c\u5f0f\u3002\u7136\u800c\uff0c\u6709\u65f6\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u53e6\u4e00\u79cd\u751a\u81f3\u66f4\u7b80\u5355\u7684\u65b9\u6cd5\uff1a<\/p>\n<p>\u4e24\u4e2a\u8ba1\u5212\u7684\u9690\u5f0f\uff08\u6216\u4e00\u822c\uff09\u65b9\u7a0b\u7684\u7cfb\u6570 A\u3001B \u548c C \u5fc5\u987b\u6210\u6bd4\u4f8b\u3002\u597d\u5427\uff0c\u5982\u679c\u5728\u4e00\u4e2a\u95ee\u9898\u4e2d\u6211\u4eec\u627e\u5230\u4e24\u4e2a\u5e73\u9762\uff0c\u5176\u7cfb\u6570 A\u3001B \u548c C \u5b8c\u5168\u76f8\u540c\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u53e6\u4e00\u4e2a\u516c\u5f0f\uff0c\u800c\u65e0\u9700\u77e5\u9053\u4efb\u4f55\u5e73\u9762\u7684\u4efb\u4f55\u70b9\uff1a <\/p>\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\">\u8003\u8651\u5177\u6709<strong>\u76f8\u540c\u7cfb\u6570 A\u3001B \u548c C \u7684<\/strong>\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u7684\u4e00\u822c\uff08\u6216\u9690\u5f0f\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-a277aae741d0cfe8200b7c338f57343f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ Ax+By+Cz+D_1=0 \\qquad \\qquad  \\pi_2 : \\ Ax+By+Cz+D_2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"528\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u4ece\u4e24\u4e2a\u5e73\u9762\u7684\u4e00\u822c\u65b9\u7a0b<strong>\u6c42\u51fa\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u516c\u5f0f<\/strong>\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u6700\u7ec8\uff0c\u6709\u4e24\u79cd\u65b9\u6cd5\u53ef\u4ee5\u627e\u5230\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u5f53\u6211\u4eec\u77e5\u9053\u4e24\u4e2a\u5e73\u9762\u4e4b\u4e00\u4e0a\u7684\u70b9\u65f6\uff0c\u7b2c\u4e00\u4e2a\u66f4\u6709\u7528\u3002\u7136\u800c\uff0c\u5982\u679c\u6211\u4eec\u77e5\u9053\u4e24\u4e2a\u5e73\u9762\u7684\u4e00\u822c\u65b9\u7a0b\uff0c\u6700\u597d\u7528\u7b2c\u4e8c\u4e2a\u516c\u5f0f\u6765\u8ba1\u7b97\u8ddd\u79bb\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-como-hallar-la-distancia-entre-dos-planos-paralelos\"><\/span>\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4f5c\u4e3a\u793a\u4f8b\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u4ee5\u4e0b\u4e24\u4e2a\u5e73\u9762\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-a9cd1abd1a84a5a230fb855c75c59e11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 4x-2y-4z+7=0 \\qquad \\qquad  \\pi_2 : \\ 8x-4y-8z+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"471\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u5fc5\u987b\u9996\u5148\u9a8c\u8bc1\u6211\u4eec\u6b63\u5728\u5904\u7406\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u3002\u56e0\u6b64\uff0c\u9664\u4e86\u72ec\u7acb\u9879\u4e4b\u5916\uff0c\u5e73\u9762\u65b9\u7a0b\u7684\u6240\u6709\u7cfb\u6570\u90fd\u662f\u6210\u6bd4\u4f8b\u7684\uff0c\u56e0\u6b64\u5b83\u4eec\u5b9e\u9645\u4e0a\u662f\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\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-e13f3d3e18910312a6604d299010da6f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4}{8}=\\cfrac{-2}{-4}=\\cfrac{-4}{-8}\\neq \\cfrac{7}{2} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e24\u4e2a\u5e73\u9762\u65b9\u7a0b\u7684 A\u3001B \u548c C \u9879\u5e76\u4e0d\u91cd\u5408\uff0c\u4f46\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5c06\u7b2c\u4e8c\u4e2a\u5e73\u9762\u7684\u6574\u4e2a\u65b9\u7a0b\u9664\u4ee5 2 \u6765\u5b9e\u73b0\u8fd9\u4e00\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-d159a803fe606b074b2fbafbf792829d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ \\cfrac{8x-4y-8z+2}{2}=\\cfrac{0}{2}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"204\" 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-0098cb52d72e1305e5cc6daee535dee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ 4x-2y-4z+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"200\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4e24\u4e2a\u5e73\u9762\u7684\u65b9\u7a0b\u73b0\u5728\u5df2\u7ecf\u5177\u6709\u76f8\u540c\u7684\u7cfb\u6570 A\u3001B \u548c C\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4ee5\u4e0b 2 \u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\u8f7b\u677e\u8ba1\u7b97\u4e24\u4e2a\u5e73\u9762\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p>\u6211\u4eec\u4ee3\u5165\u6570\u503c\u5e76\u6c42\u89e3\u8fd0\u7b97\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-ebaa9342424e4e1c6df12cac1f2658fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert 1-7\\rvert}{\\sqrt{4^2+(-2)^2+(-4)^2}}= \\cfrac{\\lvert -6\\rvert}{\\sqrt{36}} = \\cfrac{6}{6} = \\bm{1}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"369\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p>\u4f7f\u5f97<a href=\"https:\/\/mathority.org\/cn\/\u5e73\u9762\u51e0\u4f55\/\">\u4e00\u4e2a\u5e73\u9762<\/a>\u548c\u53e6\u4e00\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u7b49\u4e8e\u4e00\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-distancia-entre-dos-planos\"><\/span>\u89e3\u51b3\u4e24\u4e2a\u5e73\u9762\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>\u6c42\u4ee5\u4e0b\u4e24\u4e2a\u5e73\u9762\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-b51c64f5f5d25771ee1eb45d8e37e2f3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 2x-y+5z-3=0 \\qquad \\qquad  \\pi_2 : \\ 2x-y+5z-7=0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"453\" 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\">\u6211\u4eec\u5fc5\u987b\u9996\u5148\u9a8c\u8bc1\u6211\u4eec\u6b63\u5728\u5904\u7406\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u3002\u4e24\u4e2a\u5e73\u9762\u65b9\u7a0b\u7684\u6240\u6709\u7cfb\u6570\u9664\u72ec\u7acb\u9879\u5916\u5747\u6210\u6bd4\u4f8b\uff0c\u56e0\u6b64\u8fd9\u786e\u5b9e\u662f\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\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-4c520445614ecabfaf8a1bda841afa65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{2}{2}=\\cfrac{-1}{-1}=\\cfrac{5}{5} \\neq \\cfrac{-3}{-7} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"283\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u5c06\u4f7f\u7528\u76f4\u63a5\u516c\u5f0f\u8ba1\u7b97\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u56e0\u4e3a\u5b83\u4eec\u7684\u7cfb\u6570 A\u3001B \u548c C \u76f8\u7b49\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-3f78d3a0f1fd3a6c00acfd51c160dc8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"202\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u8fd9\u4e9b\u503c\u4ee3\u5165\u516c\u5f0f\u5e76\u6267\u884c\u8fd0\u7b97\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-c107ce392f40f085eadf58283ea31fc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi) = \\cfrac{\\lvert -7-3\\rvert}{\\sqrt{2^2+(-1)^2+5^2}}= \\cfrac{\\lvert -10\\rvert}{\\sqrt{30}} = \\cfrac{\\bm{10}}{\\bm{\\sqrt{30}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"343\" style=\"vertical-align: -20px;\"><\/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\u4e2a\u5e73\u9762\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-b2bbc524fea8b844e21f44241034b21c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 3x-2y+6z+4=0 \\qquad \\qquad  \\pi_2 : \\ 6x-4y+3z+1=0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"471\" 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\u5fc5\u987b\u9a8c\u8bc1\u5b83\u4eec\u662f\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\uff0c\u4ee5\u786e\u5b9a\u5b83\u4eec\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u4e3a\u6b64\uff0c\u6211\u4eec\u68c0\u67e5\u4e24\u4e2a\u8ba1\u5212\u7684\u7cfb\u6570\u4e4b\u95f4\u7684\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-3abd37199c65d756bb9c892bf56f0f2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{3}{6}=\\cfrac{-2}{-4}\\neq\\cfrac{6}{3} \\neq \\cfrac{4}{1} \\quad \\longrightarrow \\quad \\pi_1 \\ \\cancel{\\parallel} \\ \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"263\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4f46\u662f\u4e24\u4e2a\u5e73\u9762\u7684\u7cfb\u6570 A\u3001B \u548c C \u4e0d\u6210\u6bd4\u4f8b\uff0c\u53ea\u6709\u53c2\u6570 A \u548c B \u6210\u6bd4\u4f8b\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u5e73\u9762\u4e0d\u662f\u5e73\u884c\u800c\u662f\u76f8\u4ea4\uff0c\u56e0\u6b64\u5b83\u4eec\u4e4b\u95f4\u7684\u8ddd\u79bb\u7b49\u4e8e 0\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-c2ceb0ff96abef105348fa5660ba4fa9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(\\pi_1,\\pi_2)=0}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"99\" style=\"vertical-align: -5px;\"><\/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>\u6c42\u4e0b\u5217\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\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-6d14719b0eefd313552d5257c249c66f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ \\begin{cases} x=3+4\\lambda-2 \\mu \\\\[1.7ex]y=-2+\\lambda+6 \\mu \\\\[1.7ex]z=5-\\lambda+3 \\mu \\end{cases}\\qquad \\qquad  \\pi_2 : \\ 3x+2y-2z-9=0\" title=\"Rendered by QuickLaTeX.com\" height=\"107\" width=\"477\" style=\"vertical-align: 0px;\"><\/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\">\u524d\u666f\u5e73\u9762\u4ee5\u53c2\u6570\u65b9\u7a0b\u7684\u5f62\u5f0f\u5b9a\u4e49\uff0c\u56e0\u6b64\u8981\u5e94\u7528\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u8ddd\u79bb\u7684\u76f4\u63a5\u516c\u5f0f\uff0c\u6211\u4eec\u9996\u5148\u9700\u8981\u5c06\u5176\u8f6c\u6362\u4e3a\u4e00\u822c\u65b9\u7a0b\u7684\u5f62\u5f0f\uff0c\u8fd9\u9700\u8981\u5927\u91cf\u7684\u8ba1\u7b97\u548c\u65f6\u95f4\u3002\u56e0\u6b64\uff0c\u5982\u679c\u6211\u4eec\u5728\u8be5\u5e73\u9762\u4e0a\u53d6\u4e00\u4e2a\u70b9\u5e76\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u4e2a\u5e73\u9762\u7684\u8ddd\u79bb\uff0c\u901f\u5ea6\u4f1a\u66f4\u5feb\u3002<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u5c5e\u4e8e\u5e73\u9762 \u03c0 <sub>1<\/sub>\u7684\u70b9\u7684\u5750\u6807\u5bf9\u5e94\u4e8e\u6bcf\u4e2a\u53c2\u6570\u65b9\u7a0b\u7684\u72ec\u7acb\u9879\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-d66243e674f3ead58ca1ff6b29a9a715_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(3,-2,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"83\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u5e94\u7528\u516c\u5f0f\u6765\u8ba1\u7b97\u8be5\u70b9\u4e0e\u53e6\u4e00\u4e2a\u5e73\u9762\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-8e667bbf8e826d021b1cb466a3b312ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert A\\cdot x_0+B\\cdot y_0+C\\cdot z_0+D\\rvert}{\\sqrt{A^2+B^2+C^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"307\" 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-e4c4801629feef3733a4564df35d3c46_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert 3\\cdot 3+2\\cdot (-2)+(-2)\\cdot 5-9\\rvert}{\\sqrt{3^2+2^2+(-2)^2}}\" title=\"Rendered by QuickLaTeX.com\" height=\"48\" width=\"317\" style=\"vertical-align: -20px;\"><\/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-617538033c94b7606ec4aff058302fd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert 9-4-10-9\\rvert}{\\sqrt{9+4+4}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"206\" 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-112e5dabc19834e9cd886f6c9296452a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{\\lvert -14\\rvert}{\\sqrt{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"128\" 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-18ff6ac34eed85be881c346ecb7e41dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"d(P,\\pi_2) = \\cfrac{14}{\\sqrt{17}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"119\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\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-ef887cbd7e8b9c8bbe88736ce26776d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{d(\\pi_1,\\pi_2)=d(P,\\pi_2) =} \\cfrac{\\bm{14}}{\\bm{\\sqrt{17}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"204\" style=\"vertical-align: -16px;\"><\/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\u67e5\u627e\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u60a8\u5c06\u7279\u522b\u770b\u5230\u73b0\u6709\u7684\u4e24\u79cd\u65b9\u6cd5\u4ee5\u53ca\u4f55\u65f6\u4f7f\u7528\u5176\u4e2d\u4e00\u79cd\u66f4\u597d\u3002\u6b64\u5916\uff0c\u60a8\u8fd8 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09<\/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-256","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/cn\/\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\/\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 - Mathority\" \/>\n<meta property=\"og:description\" content=\"\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u67e5\u627e\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u60a8\u5c06\u7279\u522b\u770b\u5230\u73b0\u6709\u7684\u4e24\u79cd\u65b9\u6cd5\u4ee5\u53ca\u4f55\u65f6\u4f7f\u7528\u5176\u4e2d\u4e00\u79cd\u66f4\u597d\u3002\u6b64\u5916\uff0c\u60a8\u8fd8 &hellip; \u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 \u67e5\u770b\u5168\u6587 &raquo;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mathority.org\/cn\/\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-10T08:10:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-deux-plans-paralleles.webp\" \/>\n<meta name=\"author\" content=\"Mathority\u56e2\u961f\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mathority\u56e2\u961f\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/\"},\"author\":{\"name\":\"Mathority\u56e2\u961f\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\"},\"headline\":\"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09\",\"datePublished\":\"2023-07-10T08:10:10+00:00\",\"dateModified\":\"2023-07-10T08:10:10+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/\"},\"wordCount\":23,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"articleSection\":[\"\u70b9\u3001\u7ebf\u3001\u9762\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/\",\"url\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/\",\"name\":\"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 - Mathority\",\"isPartOf\":{\"@id\":\"https:\/\/mathority.org\/cn\/#website\"},\"datePublished\":\"2023-07-10T08:10:10+00:00\",\"dateModified\":\"2023-07-10T08:10:10+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#breadcrumb\"},\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/mathority.org\/cn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/mathority.org\/cn\/#website\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"name\":\"Mathority\",\"description\":\"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01\",\"publisher\":{\"@id\":\"https:\/\/mathority.org\/cn\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/mathority.org\/cn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"zh-Hans\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/mathority.org\/cn\/#organization\",\"name\":\"Mathority\",\"url\":\"https:\/\/mathority.org\/cn\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"contentUrl\":\"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png\",\"width\":703,\"height\":151,\"caption\":\"Mathority\"},\"image\":{\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071\",\"name\":\"Mathority\u56e2\u961f\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"zh-Hans\",\"@id\":\"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g\",\"caption\":\"Mathority\u56e2\u961f\"},\"sameAs\":[\"http:\/\/mathority.org\/cn\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 - Mathority","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mathority.org\/cn\/\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\/","og_locale":"zh_CN","og_type":"article","og_title":"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 - Mathority","og_description":"\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u4e86\u89e3\u5982\u4f55\u67e5\u627e\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u3002\u60a8\u5c06\u7279\u522b\u770b\u5230\u73b0\u6709\u7684\u4e24\u79cd\u65b9\u6cd5\u4ee5\u53ca\u4f55\u65f6\u4f7f\u7528\u5176\u4e2d\u4e00\u79cd\u66f4\u597d\u3002\u6b64\u5916\uff0c\u60a8\u8fd8 &hellip; \u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 \u67e5\u770b\u5168\u6587 &raquo;","og_url":"https:\/\/mathority.org\/cn\/\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u516c\u5f0f\/","article_published_time":"2023-07-10T08:10:10+00:00","og_image":[{"url":"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/distance-entre-deux-plans-paralleles.webp"}],"author":"Mathority\u56e2\u961f","twitter_card":"summary_large_image","twitter_misc":{"\u4f5c\u8005":"Mathority\u56e2\u961f"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#article","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/"},"author":{"name":"Mathority\u56e2\u961f","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071"},"headline":"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09","datePublished":"2023-07-10T08:10:10+00:00","dateModified":"2023-07-10T08:10:10+00:00","mainEntityOfPage":{"@id":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/"},"wordCount":23,"commentCount":0,"publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"articleSection":["\u70b9\u3001\u7ebf\u3001\u9762"],"inLanguage":"zh-Hans","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#respond"]}]},{"@type":"WebPage","@id":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/","url":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/","name":"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09 - Mathority","isPartOf":{"@id":"https:\/\/mathority.org\/cn\/#website"},"datePublished":"2023-07-10T08:10:10+00:00","dateModified":"2023-07-10T08:10:10+00:00","breadcrumb":{"@id":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#breadcrumb"},"inLanguage":"zh-Hans","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/mathority.org\/cn\/%e4%b8%a4%e4%b8%aa%e5%b9%b3%e9%9d%a2%e4%b9%8b%e9%97%b4%e7%9a%84%e8%b7%9d%e7%a6%bb%e5%85%ac%e5%bc%8f\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mathority.org\/cn\/"},{"@type":"ListItem","position":2,"name":"\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff08\u516c\u5f0f\uff09"}]},{"@type":"WebSite","@id":"https:\/\/mathority.org\/cn\/#website","url":"https:\/\/mathority.org\/cn\/","name":"Mathority","description":"\u597d\u5947\u5fc3\u4e0e\u8ba1\u7b97\u7684\u7ed3\u5408\uff01","publisher":{"@id":"https:\/\/mathority.org\/cn\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mathority.org\/cn\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"zh-Hans"},{"@type":"Organization","@id":"https:\/\/mathority.org\/cn\/#organization","name":"Mathority","url":"https:\/\/mathority.org\/cn\/","logo":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/","url":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","contentUrl":"https:\/\/mathority.org\/cn\/wp-content\/uploads\/2023\/10\/mathority-logo.png","width":703,"height":151,"caption":"Mathority"},"image":{"@id":"https:\/\/mathority.org\/cn\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/7f15c6882833e0b2765bbb87c6ce3071","name":"Mathority\u56e2\u961f","image":{"@type":"ImageObject","inLanguage":"zh-Hans","@id":"https:\/\/mathority.org\/cn\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/dd3f98feaeb54f342e72193f2059ae90dc3178f59adb7c82b33fc7d71c6ee19d?s=96&d=mm&r=g","caption":"Mathority\u56e2\u961f"},"sameAs":["http:\/\/mathority.org\/cn"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/256","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/comments?post=256"}],"version-history":[{"count":0,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/posts\/256\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/media?parent=256"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/categories?post=256"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathority.org\/cn\/wp-json\/wp\/v2\/tags?post=256"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}