{"id":250,"date":"2023-07-10T11:04:37","date_gmt":"2023-07-10T11:04:37","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%b9%b3%e8%a1%8c%e5%b9%b3%e9%9d%a2\/"},"modified":"2023-07-10T11:04:37","modified_gmt":"2023-07-10T11:04:37","slug":"%e5%b9%b3%e8%a1%8c%e5%b9%b3%e9%9d%a2","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%b9%b3%e8%a1%8c%e5%b9%b3%e9%9d%a2\/","title":{"rendered":"\u5e73\u884c\u5e73\u9762"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u5e73\u884c\u5e73\u9762\u7684\u6240\u6709\u5185\u5bb9\uff1a\u5f53\u4e24\u4e2a\u5e73\u9762\u5e73\u884c\u65f6\u3001\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u7684\u65b9\u7a0b\u3001\u793a\u4f8b\u3001\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3001\u5c5e\u6027\u2026\u2026 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-dos-planos-paralelos\"><\/span>\u4ec0\u4e48\u662f\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5728\u89e3\u6790\u51e0\u4f55\u4e2d\uff0c\u5f53\u4e24\u4e2a\u5e73\u9762\u59cb\u7ec8\u76f8\u8ddd\u76f8\u540c\u7684\u8ddd\u79bb\u65f6\uff0c\u5b83\u4eec\u662f\u5e73\u884c\u7684\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u6c38\u8fdc\u4e0d\u4f1a\u76f8\u4ea4\uff0c\u4e5f\u6ca1\u6709\u4efb\u4f55\u5171\u540c\u70b9\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\/plans-paralleles-1.webp\" alt=\"\u5e73\u884c\u5e73\u9762\u7684\u6982\u5ff5\" class=\"wp-image-2815\" width=\"332\" height=\"208\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u5e73\u884c\u653e\u7f6e\u7684\u4e24\u4e2a\u5e73\u9762\u5e76\u4e0d\u662f\u5e73\u9762\u4e4b\u95f4\u552f\u4e00\u53ef\u80fd\u7684\u76f8\u5bf9\u4f4d\u7f6e\uff0c\u56e0\u4e3a\u7a7a\u95f4\u4e2d\u7684\u4e24\u4e2a\u5e73\u9762\uff08\u5728 R3 \u4e2d\uff09\u4e5f\u53ef\u4ee5\u76f8\u4ea4\u6216\u91cd\u5408\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-saber-si-dos-planos-son-paralelos\"><\/span>\u5982\u4f55\u77e5\u9053\u4e24\u4e2a\u5e73\u9762\u662f\u5426\u5e73\u884c\uff1f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4e86\u89e3\u4e86\u5e73\u884c\u5e73\u9762\u7684\u5b9a\u4e49\u540e\uff0c\u8ba9\u6211\u4eec\u770b\u770b\u5982\u4f55\u786e\u5b9a\u4e24\u4e2a\u5e73\u9762\u662f\u5426\u5e73\u884c\u3002<\/p>\n<p>\u4ece\u4e24\u4e2a\u4e0d\u540c\u8ba1\u5212\u7684\u4e00\u822c\uff08\u6216\u9690\u5f0f\uff09\u65b9\u7a0b\u5f00\u59cb\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-679de3a47957678b36c7ce59c2ac3415_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ A_1x+B_1y+C_1z+D_1 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" 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-2685d26d2a3ccd531ef0fb45769d013a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ A_2x+B_2y+C_2z+D_2 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"249\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u5982\u679c\u4e24\u4e2a\u5e73\u9762\u7684\u7cfb\u6570 A\u3001B \u548c C \u5f7c\u6b64\u6210\u6bd4\u4f8b\u4e14\u4e0e\u7cfb\u6570 D \u4e0d\u6210\u6bd4\u4f8b\uff0c\u5219\u8fd9\u4e24\u4e2a\u5e73\u9762\u5c06\u5e73\u884c\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5f53\u6ee1\u8db3\u4ee5\u4e0b\u7b49\u5f0f\u65f6\uff0c\u4e24\u4e2a\u5e73\u9762\u4e4b\u95f4\u5c31\u4f1a\u5e73\u884c\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-10e8a78403a97a98ff8efc375d963d0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\definecolor{taronjaquadreejemplo}{HTML}{FF9800}  \\newtcbox{\\mymath}[1][]{%     nobeforeafter, math upper, tcbox raise base,     enhanced, colframe=taronjaquadreejemplo,      boxrule=1.1pt, boxsep=2mm,     #1} \\begin{empheq}[box={\\mymath[colback=white ]}]{equation*}      \\cfrac{A_1}{A_2}=\\cfrac{B_1}{B_2} = \\cfrac{C_1}{C_2}\\neq \\cfrac{D_1}{D_2} \\end{empheq}\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"329\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-dos-planos-paralelos\"><\/span>\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u7684\u793a\u4f8b<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e24\u4e2a\u5e73\u9762\u662f\u5e73\u884c\u7684\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-83a8236303807a26eff03df9b5aae7ae_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 : \\ 6x+2y-4z+1 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"200\" 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-99a5206f765bfb3f6441f5c41bba99dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_2 : \\ 3x+y-2z+5 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"191\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p>\u8fd9\u4e9b\u8ba1\u5212\u662f\u5e76\u884c\u7684\uff0c\u56e0\u4e3a\u53d8\u91cf X\u3001Y\u3001Z \u7684\u7cfb\u6570\u5f7c\u6b64\u6210\u6bd4\u4f8b\uff0c\u4f46\u4e0e\u72ec\u7acb\u9879\u4e0d\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-0dabd414a6a2dc053e2b91f27d89ab8f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{6}{3} =\\cfrac{2}{1} =\\cfrac{-4}{-2} \\neq \\cfrac{1}{5} \\quad \\longrightarrow \\quad \\pi_1 \\parallel \\pi_2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"261\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calcular-la-distancia-entre-dos-planos-paralelos\"><\/span>\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u7684\u8ddd\u79bb\u603b\u662f\u76f8\u540c\uff0c\u56e0\u6b64\uff0c\u8981\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\u7136\u540e\u8ba1\u7b97\u4ece\u8be5\u70b9\u5230\u53e6\u4e00\u4e2a\u5e73\u9762\u7684\u8ddd\u79bb\u3002<\/strong>\u56e0\u6b64\uff0c\u8981\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u5fc5\u987b\u77e5\u9053<a href=\"https:\/\/mathority.org\/cn\">\u4e00\u70b9\u5230\u5e73\u9762\u7684\u8ddd\u79bb\u516c\u5f0f<\/a>\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-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>\u5b83\u662f\u4e00\u79cd\u6c42\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u8ddd\u79bb\u7684\u65b9\u6cd5\u3002\u7136\u800c\uff0c\u5f53\u4e24\u4e2a\u5e73\u9762\u65b9\u7a0b\u7684\u7cfb\u6570 A\u3001B \u548c C \u91cd\u5408\u65f6\uff0c\u8fd8\u6709\u4e00\u79cd\u66f4\u7b80\u5355\u7684\u65b9\u6cd5\uff1a<\/p>\n<p>\u8003\u8651\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><strong>\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u8ddd\u79bb\u7684\u8ba1\u7b97\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-fba7a69f403ec1b933994e987e1ff71b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\color{orange} \\boxed{\\color{black} \\quad d(P,\\pi) = \\cfrac{\\lvert D_2-D_1\\rvert}{\\sqrt{A^2+B^2+C^2}} \\quad \\vphantom{\\Biggl(}}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"343\" style=\"vertical-align: -28px;\"><\/p>\n<\/p>\n<p>\u56e0\u6b64\uff0c\u4f7f\u7528\u516c\u5f0f\u80af\u5b9a\u66f4\u5bb9\u6613\u627e\u5230\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\uff0c\u56e0\u4e3a\u8fd9\u53ea\u662f\u5e94\u7528\u516c\u5f0f\u7684\u95ee\u9898\uff0c\u4ec5\u6b64\u800c\u5df2\uff0c\u4f46\u8fd9\u53d6\u51b3\u4e8e\u95ee\u9898\u3002\u6b64\u5916\uff0c\u6211\u4eec\u8ba4\u4e3a\u6700\u597d\u89e3\u91ca\u4e24\u79cd\u8ba1\u7b97\u8ddd\u79bb\u7684\u65b9\u6cd5\uff0c\u4ee5\u4fbf\u60a8\u53ef\u4ee5\u9009\u62e9\u60a8\u559c\u6b22\u7684\u4e00\u79cd\u3002<\/p>\n<h3 class=\"wp-block-heading\">\u8ba1\u7b97\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u4e4b\u95f4\u7684\u8ddd\u79bb\u7684\u793a\u4f8b<\/h3>\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\u5177\u6709\u76f8\u540c\u7684\u7cfb\u6570 A\u3001B \u548c C\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u53ef\u4ee5\u4f7f\u7528\u4e24\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\u4e00\u4e2a\u5e73\u9762\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=\"propiedades-de-los-planos-paralelos\"><\/span>\u5e73\u884c\u5e73\u9762\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u884c\u5e73\u9762\u7684\u7279\u70b9\u5982\u4e0b\uff1a<\/p>\n<ul>\n<li><strong>\u81ea\u53cd\u6027<\/strong>\uff1a\u6bcf\u4e2a\u5e73\u9762\u90fd\u4e0e\u5176\u81ea\u8eab\u5e73\u884c\u3002<\/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-e0c49b095c95d593d607cda423172a99_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 \\parallel \\pi_1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u5bf9\u79f0\u6027<\/strong>\uff1a\u5982\u679c\u4e00\u4e2a\u5e73\u9762\u4e0e\u53e6\u4e00\u4e2a\u5e73\u9762\u5e73\u884c\uff0c\u5219\u8be5\u5e73\u9762\u4e5f\u4e0e\u7b2c\u4e00\u4e2a\u5e73\u9762\u5e73\u884c\u3002\u5782\u76f4\u5e73\u9762\u4e5f\u5177\u6709\u8fd9\u4e2a\u6027\u8d28\u3002<\/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-6744d81df1ba01b40bf2dd2c429ead6a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pi_1 \\parallel \\pi_2 \\ \\longrightarrow \\ \\pi_2 \\parallel \\pi_1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"157\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u4f20\u9012\u6027<\/strong>\uff1a\u5982\u679c\u4e00\u4e2a\u5e73\u9762\u5e73\u884c\u4e8e\u53e6\u4e00\u4e2a\u5e73\u9762\uff0c\u5e76\u4e14\u8be5\u7b2c\u4e8c\u5e73\u9762\u5e73\u884c\u4e8e\u7b2c\u4e09\u5e73\u9762\uff0c\u5219\u7b2c\u4e00\u5e73\u9762\u4e5f\u5e73\u884c\u4e8e\u7b2c\u4e09\u5e73\u9762\u3002<\/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-cbdb26cf7c9104ca3111695826de0161_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} \\pi_1 \\parallel \\pi_2\\\\[2ex] \\pi_2 \\parallel \\pi_3 \\end{array} \\right\\} \\longrightarrow \\ \\pi_1 \\parallel \\pi_3\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"176\" style=\"vertical-align: 0px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u5e73\u884c\u5e73\u9762\u7684\u6240\u6709\u5185\u5bb9\uff1a\u5f53\u4e24\u4e2a\u5e73\u9762\u5e73\u884c\u65f6\u3001\u4e24\u4e2a\u5e73\u884c\u5e73\u9762\u7684\u65b9\u7a0b\u3001\u793a\u4f8b\u3001\u5df2\u89e3\u51b3\u7684\u7ec3\u4e60\u3001\u5c5e\u6027\u2026\u2026 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%b9%b3%e8%a1%8c%e5%b9%b3%e9%9d%a2\/\"> <span class=\"screen-reader-text\">\u5e73\u884c\u5e73\u9762<\/span> \u67e5\u770b\u5168\u6587 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