{"id":218,"date":"2023-07-11T05:13:14","date_gmt":"2023-07-11T05:13:14","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e5%b9%b3%e8%a1%8c%e5%90%91%e9%87%8f\/"},"modified":"2023-07-11T05:13:14","modified_gmt":"2023-07-11T05:13:14","slug":"%e5%b9%b3%e8%a1%8c%e5%90%91%e9%87%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e5%b9%b3%e8%a1%8c%e5%90%91%e9%87%8f\/","title":{"rendered":"\u5e73\u884c\u5411\u91cf"},"content":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u5e73\u884c\u5411\u91cf\u7684\u6240\u6709\u5185\u5bb9\uff1a\u5b83\u4eec\u7684\u542b\u4e49\uff0c\u5f53\u4e24\u4e2a\u5411\u91cf\u5e73\u884c\u65f6\uff0c\u5982\u4f55\u627e\u5230\u4e0e\u53e6\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\u7684\u5411\u91cf\uff0c\u6b64\u7c7b\u5411\u91cf\u7684\u5c5e\u6027\uff0c&#8230;\u6b64\u5916\uff0c\u60a8\u5c06\u80fd\u591f\u770b\u5230\u51e0\u4e2a\u793a\u4f8b\u548c\u5df2\u89e3\u51b3\u7684\u5e76\u884c\u5411\u91cf\u7ec3\u4e60\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-vectores-paralelos\"><\/span>\u4ec0\u4e48\u662f\u5e73\u884c\u5411\u91cf\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffe0aa\"><strong>\u5e73\u884c\u5411\u91cf<\/strong>\u662f\u5177\u6709\u76f8\u540c\u65b9\u5411\u7684\u5411\u91cf\u3002\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u4e24\u4e2a\u5411\u91cf\u5305\u542b\u5728\u4e24\u6761\u5e73\u884c\u7ebf\u4e2d\uff0c\u5219\u5b83\u4eec\u662f\u5e73\u884c\u7684\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u5e73\u884c\u5411\u91cf\u4e4b\u95f4\u7684\u89d2\u5ea6\u4e3a 0 \u5ea6\u6216 180 \u5ea6\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u4ee5\u4e0b\u4e09\u4e2a\u5411\u91cf\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\/que-sont-deux-vecteurs-paralleles.webp\" alt=\"\u4ec0\u4e48\u662f\u4e24\u4e2a\u5e73\u884c\u5411\u91cf\uff1f\" class=\"wp-image-1210\" width=\"172\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u6b64\u5916\uff0c\u4e24\u4e2a\u5411\u91cf\u7684\u5e73\u884c\u5ea6\u4ec5\u53d6\u51b3\u4e8e\u5b83\u4eec\u7684\u65b9\u5411\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u65e0\u8bba\u65b9\u5411\u76f8\u540c\u8fd8\u662f\u65b9\u5411\u76f8\u53cd\uff0c\u4e24\u4e2a\u5411\u91cf\u53ea\u8981\u65b9\u5411\u4e00\u81f4\uff0c\u5c31\u5e73\u884c\u3002\u540c\u6837\u7684\u4e8b\u60c5\u4e5f\u53d1\u751f\u5728\u6a21\u6570\uff08\u6216\u5e45\u5ea6\uff09\u4e0a\uff0c\u4e24\u4e2a\u5411\u91cf\u53ef\u4ee5\u5177\u6709\u4e0d\u540c\u7684\u6a21\u6570\u5e76\u4e14\u662f\u5e73\u884c\u7684\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u5f53\u4e24\u4e2a\u5411\u91cf\u5177\u6709\u76f8\u540c\u4f46\u76f8\u53cd\u7684\u65b9\u5411\u65f6\uff0c\u5b83\u4eec\u88ab\u79f0\u4e3a<strong>\u53cd\u5e73\u884c\u5411\u91cf<\/strong>\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-sabe-cuando-dos-vectores-son-paralelos\"><\/span>\u5982\u4f55\u77e5\u9053\u4e24\u4e2a\u5411\u91cf\u662f\u5426\u5e73\u884c\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffe0aa\"><strong>\u5f53\u4e24\u4e2a\u5411\u91cf\u6210\u6bd4\u4f8b\u65f6\uff0c\u5b83\u4eec\u662f\u5e73\u884c\u7684\u3002<\/strong>\u56e0\u6b64\uff0c\u8981\u77e5\u9053\u4e24\u4e2a\u5411\u91cf\u662f\u5426\u5e73\u884c\uff0c\u6211\u4eec\u9700\u8981\u786e\u5b9a\u5b83\u4eec\u5404\u81ea\u7684\u5206\u91cf\u662f\u5426\u6210\u6bd4\u4f8b\u3002<\/p>\n<p>\u6211\u4eec\u5c06\u4e86\u89e3\u5982\u4f55\u901a\u8fc7\u4e24\u4e2a\u4e0d\u540c\u7684\u5df2\u89e3\u51b3\u7ec3\u4e60\u6765\u4e86\u89e3\u4e24\u4e2a\u5411\u91cf\u662f\u5426\u5e73\u884c\uff0c\u4e00\u4e2a\u4f7f\u7528\u5177\u6709 2 \u4e2a\u5750\u6807\u7684\u5411\u91cf\uff0c\u53e6\u4e00\u4e2a\u4f7f\u7528\u5177\u6709 3 \u4e2a\u5750\u6807\u7684\u5411\u91cf\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-vectores-paralelos-en-el-plano-en-r2\"><\/span>\u5e73\u884c\u4e8e\u5e73\u9762\u7684\u5411\u91cf\u793a\u4f8b\uff08\u5728 R2 \u4e2d\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u5224\u65ad\u4e0b\u5217\u4e24\u4e2a\u5411\u91cf\u662f\u5426\u5e73\u884c\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-c173e0154210a443e280bb34e4966353_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(-2,4) \\qquad\\vv{\\text{v}}=(1,-2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"208\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u77e5\u9053\u5b83\u4eec\u662f\u5426\u771f\u7684\u662f\u5e73\u884c\u5411\u91cf\uff0c\u6211\u4eec\u5fc5\u987b\u770b\u770b\u5b83\u4eec\u7684\u7b1b\u5361\u5c14\u5750\u6807\u662f\u5426\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-b970d4aa09dea3c37f9ae2a3586bc175_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-2}{1} = \\cfrac{4}{-2} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"124\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5c06 X \u5206\u91cf\u548c Y \u5206\u91cf\u76f8\u9664\u4f1a\u5f97\u5230\u76f8\u540c\u7684\u7ed3\u679c (-2)\uff0c\u56e0\u6b64\u8fd9\u4e24\u4e2a\u5411\u91cf\u6210\u6bd4\u4f8b\uff0c\u56e0\u6b64\u4e5f\u662f<strong>\u5e73\u884c\u7684<\/strong>\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-c66764b9ce657ef712e852b979d40918_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\parallel \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u5728\u6570\u5b66\u4e2d\uff0c\u5f53\u4e24\u4e2a\u51e0\u4f55\u5143\u7d20\u5e73\u884c\u65f6\uff0c\u7531\u4e24\u4e2a\u7ad6\u7ebf (II) \u8868\u793a\u3002 <\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-vectores-paralelos-en-el-espacio-en-r3\"><\/span>\u7a7a\u95f4\u4e2d\u5e73\u884c\u5411\u91cf\u7684\u793a\u4f8b\uff08\u5728 R3 \u4e2d\uff09<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul>\n<li>\u5224\u65ad\u4ee5\u4e0b\u4e24\u4e2a\u5411\u91cf\u662f\u5426\u6ee1\u8db3\u5e76\u884c\u6761\u4ef6\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-08ef4919348b52567179757f34e1bad3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}}=(1,3,-2) \\qquad\\vv{\\text{v}}=(2,6,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"227\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4e3a\u4e86\u786e\u5b9a\u5b83\u4eec\u662f\u5426\u786e\u5b9e\u662f\u5e73\u884c\u5411\u91cf\uff0c\u6211\u4eec\u5fc5\u987b\u68c0\u67e5\u5411\u91cf\u7684\u5750\u6807\u662f\u5426\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-4c13df7c3c1c0daf95938c3b2e391ce4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1}{2} = \\cfrac{3}{6} = 0,5  \\neq \\cfrac{-2}{4} = -0,5\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"211\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p>\u5411\u91cf\u7684 X \u5206\u91cf\u548c Y \u5206\u91cf\u5f7c\u6b64\u6210\u6b63\u6bd4\uff0c\u56e0\u4e3a\u901a\u8fc7\u5c06\u5b83\u4eec\u76f8\u9664\u6211\u4eec\u5f97\u5230\u76f8\u540c\u7684\u7ed3\u679c\uff0c\u4f46\u53e6\u4e00\u65b9\u9762\uff0c\u5b83\u4eec\u4e0e Z \u5206\u91cf\u4e0d\u6210\u6b63\u6bd4\u3002\u56e0\u6b64\uff0c\u77e2\u91cf\u4e0d\u4e0e\u6240\u6709\u77e2\u91cf\u6210\u6b63\u6bd4\uff0c\u56e0\u6b64<strong>\u5b83\u4eec\u4e0d\u5e73\u884c<\/strong>\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-0369ae5c4f9eba22ba004b8ad22a3791_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\ \\cancel{\\parallel} \\ \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-calcular-un-vector-paralelo\"><\/span>\u5982\u4f55\u8ba1\u7b97\u5e73\u884c\u5411\u91cf\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p class=\"has-background\" style=\"background-color:#ffe0aa\">\u8981\u627e\u5230\u4e0e\u53e6\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\u7684\u5411\u91cf\uff0c\u53ea\u9700\u5c06<strong>\u5176\u4e58\u4ee5\u96f6 (0) \u4ee5\u5916\u7684\u6807\u91cf<\/strong>\uff08\u5b9e\u6570\uff09\u5373\u53ef\u3002\u56e0\u6b64\uff0c\u6709\u65e0\u6570\u4e2a\u5f7c\u6b64\u5e73\u884c\u7684\u5411\u91cf\uff0c\u56e0\u4e3a\u5411\u91cf\u53ef\u4ee5\u4e58\u4ee5\u65e0\u6570\u4e2a\u6570\u5b57\u3002<\/p>\n<p>\u4f8b\u5982\uff0c\u6211\u4eec\u5c06\u8ba1\u7b97\u4ee5\u4e0b\u5411\u91cf\u7684\u51e0\u4e2a\u5e73\u884c\u5411\u91cf\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-217fe4e1853355088713c8976a72dfdc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}}=(2,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u4ee5\u4e0b\u6240\u6709\u4e58\u79ef\u7684\u7ed3\u679c\u90fd\u662f\u4e0e\u524d\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\u7684\u5411\u91cf\uff1a <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f43bc21e50858797698ead97f18ab01e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"2\\vv{\\text{v}}=(4,8)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"80\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4e5cf4e24b83fa659231fe8849030ac0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3\\vv{\\text{v}}=(6,12)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"89\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7df6eabe318b8ed9a2e9fd7a6e968e09_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1\\vv{\\text{v}}=(-2,-4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-089421914e4d52862a277469fd332a22_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{1}{2}\\vv{\\text{v}}=(1,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"36\" width=\"82\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-los-vectores-paralelos\"><\/span>\u5e73\u884c\u5411\u91cf\u7684\u6027\u8d28<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5e73\u884c\u5411\u91cf\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n<ul>\n<li><strong>\u81ea\u53cd\u6027<\/strong>\uff1a\u6bcf\u4e2a\u5411\u91cf\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-4be4d866adc6357e0dd4119dfc7fad9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{v}} \\parallel  \\vv{\\text{v}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"37\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u5bf9\u79f0\u6027<\/strong>\uff1a\u5982\u679c\u4e00\u4e2a\u5411\u91cf\u4e0e\u53e6\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\uff0c\u5219\u8be5\u5411\u91cf\u4e5f\u4e0e\u7b2c\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\u3002<a href=\"https:\/\/mathority.org\/cn\/\u6b63\u4ea4\u5782\u76f4\u5411\u91cf\/\">\u5782\u76f4\u5411\u91cf<\/a>\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-1af75669cfe20e558447253ac3bd5ff1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\parallel  \\vv{\\text{v}} \\ \\longrightarrow \\ \\vv{\\text{v}} \\parallel \\vv{\\text{u}}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"126\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li><strong>\u4f20\u9012\u6027<\/strong>\uff1a\u5982\u679c\u4e00\u4e2a\u5411\u91cf\u4e0e\u53e6\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\uff0c\u5e76\u4e14\u7b2c\u4e8c\u4e2a\u5411\u91cf\u4e0e\u7b2c\u4e09\u4e2a\u5411\u91cf\u5e73\u884c\uff0c\u5219\u7b2c\u4e00\u4e2a\u5411\u91cf\u4e5f\u4e0e\u7b2c\u4e09\u4e2a\u5411\u91cf\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-97b12a1e00fb21369eea8ce80b3e1c72_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left. \\begin{array}{c} \\vv{\\text{u}} \\parallel  \\vv{\\text{v}} \\\\[2ex] \\vv{\\text{v}} \\parallel  \\vv{\\text{w}} \\end{array} \\right\\} \\longrightarrow \\ \\vv{\\text{u}} \\parallel  \\vv{\\text{w}}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"151\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e24\u4e2a\u5e73\u884c\u5411\u91cf\u7684\u70b9\u79ef\u7b49\u4e8e\u5b83\u4eec\u7684\u6a21\u7684\u4e58\u79ef\u3002\u60a8\u53ef\u4ee5\u5728 <a href=\"https:\/\/mathority.org\/cn\/\u8ba1\u7b97\u4e24\u4e2a\u5411\u91cf\u4e4b\u95f4\u7684\u6807\u91cf\u79ef-\u5df2\u89e3\u51b3\u7684\u793a\u4f8b\u7ec3\u4e60\/\">\u70b9\u79ef\u5c5e\u6027<\/a>\u4e2d\u68c0\u67e5\u4e3a\u4ec0\u4e48\u4f1a\u53d1\u751f\u8fd9\u79cd\u7279\u6b8a\u60c5\u51b5\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-af3ec9660e232f8b69bdc0f0aa194027_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\parallel \\vv{\\text{v}} \\ \\longrightarrow \\ \\vv{\\text{u}} \\cdot \\vv{\\text{v}}= \\lvert \\vv{\\text{u}} \\rvert \\cdot \\lvert \\vv{\\text{v}} \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li>\u4e24\u4e2a\u5e73\u884c\u5411\u91cf\u59cb\u7ec8\u7ebf\u6027\u76f8\u5173\u3002\u8fd9\u4e2a\u6982\u5ff5\u76f8\u5f53\u91cd\u8981\uff0c\u6240\u4ee5\u5982\u679c\u4f60\u4e0d\u77e5\u9053\u7684\u8bdd\uff0c\u53ef\u4ee5\u53c2\u8003<a href=\"https:\/\/mathority.org\/cn\/\u72ec\u7acb\u548c\u7ebf\u6027\u76f8\u5173\u5411\u91cf-\u72ec\u7acb-\u7ebf\u6027\u76f8\u5173\/\">\u4ec0\u4e48\u662f\u4e24\u4e2a\u7ebf\u6027\u76f8\u5173\u5411\u91cf<\/a>\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-1a467a484d13c5204dd6aba944f29ebd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{\\text{u}} \\parallel \\vv{\\text{v}} \\ \\longrightarrow \\ LD\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"115\" style=\"vertical-align: -5px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u5728\u6b64\u9875\u9762\u4e0a\uff0c\u60a8\u5c06\u627e\u5230\u6709\u5173\u5e73\u884c\u5411\u91cf\u7684\u6240\u6709\u5185\u5bb9\uff1a\u5b83\u4eec\u7684\u542b\u4e49\uff0c\u5f53\u4e24\u4e2a\u5411\u91cf\u5e73\u884c\u65f6\uff0c\u5982\u4f55\u627e\u5230\u4e0e\u53e6\u4e00\u4e2a\u5411\u91cf\u5e73\u884c\u7684\u5411\u91cf\uff0c\u6b64\u7c7b &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e5%b9%b3%e8%a1%8c%e5%90%91%e9%87%8f\/\"> <span class=\"screen-reader-text\">\u5e73\u884c\u5411\u91cf<\/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":[21],"tags":[],"class_list":["post-218","post","type-post","status-publish","format-standard","hentry","category-21"],"yoast_head":"<!-- This site is optimized 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