{"id":73,"date":"2023-09-16T13:01:17","date_gmt":"2023-09-16T13:01:17","guid":{"rendered":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%ae%b5%e5%90%91%e9%87%8f%e4%b8%ad%e7%82%b9%e7%9a%84%e5%85%ac%e5%bc%8f\/"},"modified":"2023-09-16T13:01:17","modified_gmt":"2023-09-16T13:01:17","slug":"%e7%ba%bf%e6%ae%b5%e5%90%91%e9%87%8f%e4%b8%ad%e7%82%b9%e7%9a%84%e5%85%ac%e5%bc%8f","status":"publish","type":"post","link":"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%ae%b5%e5%90%91%e9%87%8f%e4%b8%ad%e7%82%b9%e7%9a%84%e5%85%ac%e5%bc%8f\/","title":{"rendered":"\u7ebf\u6bb5\u4e2d\u95f4\u7684\u516c\u5f0f"},"content":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u7ebf\u6bb5\u4e2d\u70b9\u7684\u542b\u4e49\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u4f7f\u7528\u516c\u5f0f\u627e\u5230\u7ebf\u6bb5\u7684\u4e2d\u95f4\u4f4d\u7f6e\u3002\u60a8\u751a\u81f3\u4f1a\u770b\u5230\u793a\u4f8b\u3001\u7ec3\u4e60\u548c\u5df2\u89e3\u51b3\u7684\u7ebf\u6bb5\u4e2d\u70b9\u95ee\u9898\u3002 <\/p>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-104\"><\/div>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-punto-medio-de-un-segmento\"><\/span>\u7ebf\u6bb5\u7684\u4e2d\u70b9\u662f\u4ec0\u4e48\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-105\"><\/div>\n<\/div>\n<p>\u5728\u6570\u5b66\u4e2d\uff0c<strong>\u7ebf\u6bb5\u7684\u4e2d\u70b9<\/strong>\u662f\u4e0e\u7ebf\u6bb5\u7aef\u70b9\u8ddd\u79bb\u76f8\u540c\u7684\u70b9\u3002\u56e0\u6b64\uff0c\u4e2d\u95f4\u5c06\u6bb5\u5206\u4e3a\u4e24\u4e2a\u76f8\u7b49\u7684\u90e8\u5206\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\/milieu-dun-segment.webp\" alt=\"\u7ebf\u6bb5\u4e2d\u95f4\u7684\u5b9a\u4e49\" class=\"wp-image-1173\" width=\"330\" height=\"123\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6b64\u5916\uff0c\u4e2d\u70b9\u4f4d\u4e8e\u7ebf\u6bb5\u7684\u4e2d\u5fc3\uff0c\u56e0\u6b64\u5c5e\u4e8e\u7ebf\u6bb5\u7684\u5e73\u5206\u7ebf\u3002<\/p>\n<p>\u53e6\u4e00\u65b9\u9762\uff0c\u7ebf\u6bb5\u7684\u4e2d\u70b9\u4e5f\u662f\u4e0e\u4e24\u4e2a\u51e0\u4f55\u5143\u7d20\uff08\u7ebf\u6bb5\u7684\u4e24\u7aef\uff09\u7b49\u8ddd\u7684\u70b9\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcomo-se-calcula-el-punto-medio-de-un-segmento\"><\/span>\u5982\u4f55\u8ba1\u7b97\u7ebf\u6bb5\u7684\u4e2d\u70b9\uff1f <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-106\"><\/div>\n<\/div>\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\">\u7ed9\u5b9a\u7ebf\u6bb5\u6781\u503c\u70b9\u7684\u7b1b\u5361\u5c14\u5750\u6807\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-407686c3c36cf4b185cacdb87d5744dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(x_1,y_1) \\qquad B(x_2,y_2)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"174\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p style=\"text-align:left\">\u6240\u8ff0\u7ebf\u6bb5\u7684\u4e2d\u95f4\u5750\u6807\u5bf9\u5e94\u4e8e\u6781\u503c\u70b9\u5750\u6807\u7684\u4e00\u534a\u548c\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-259d8b58035f86d95cf81c61ea1956f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<\/div>\n<p>\u8fd9\u662f\u7b1b\u5361\u5c14\u5e73\u9762\uff08R2 \u4e2d\uff09\u4e2d\u7ebf\u6bb5\u4e2d\u95f4\u7684\u516c\u5f0f\u3002\u4f46\u663e\u7136\u8be5\u516c\u5f0f\u4e5f\u9002\u7528\u4e8e\u7b1b\u5361\u5c14\u7a7a\u95f4\uff08\u5728R3\u4e2d\uff09\uff0c\u53ea\u9700\u6dfb\u52a0Z\u5750\u6807\u7684\u534a\u548c\u5373\u53ef\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\/formule-pour-le-milieu-d-un-segment-3d.webp\" alt=\"3D \u7ebf\u6bb5\u4e2d\u95f4\u7684\u516c\u5f0f\" class=\"wp-image-1179\" width=\"286\" height=\"61\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u8ba9\u6211\u4eec\u770b\u4e00\u4e2a\u5982\u4f55\u8ba1\u7b97\u7ebf\u6bb5\u4e2d\u70b9\u5750\u6807\u7684\u793a\u4f8b\uff1a<\/p>\n<ul>\n<li>\u786e\u5b9a\u7531\u4ee5\u4e0b\u70b9\u5f62\u6210\u7684\u7ebf\u6bb5\u7684\u4e2d\u70b9\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-48a61a131bb67501407b1aeb047c4dac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(2,5) \\qquad B(4,-1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u8981\u627e\u5230\u7ebf\u6bb5\u7684\u4e2d\u95f4\uff0c\u53ea\u9700\u5e94\u7528\u5176\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-259d8b58035f86d95cf81c61ea1956f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/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-0d0371f78d8fc76210d4ddf59e4167a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{2+4}{2} , \\frac{5+(-1)}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"167\" style=\"vertical-align: -17px;\"><\/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-0a7096386cfff32b327f2f3d73e3b247_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{6}{2} , \\frac{4}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"79\" style=\"vertical-align: -17px;\"><\/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-02de9c913e1d7c44d9693f034a629609_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{M\\left(3,2\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-punto-medio-de-un-segmento\"><\/span>\u5728\u7247\u6bb5\u4e2d\u95f4\u89e3\u51b3\u7684\u7ec3\u4e60<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"adsb30\" style=\" margin:12px; text-align:center\">\n<div id=\"ezoic-pub-ad-placeholder-109\"><\/div>\n<\/div>\n<h3 class=\"wp-block-heading\">\u7ec3\u4e601<\/h3>\n<p>\u7aef\u70b9\u4e3a\u4ee5\u4e0b\u4e24\u70b9\u7684\u7ebf\u6bb5\u7684\u4e2d\u70b9\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-5a2f78a38573da4674d1386989c01a41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(3,-2) \\qquad B(5,8)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"155\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u8981\u627e\u5230\u7ebf\u6bb5\u7684\u4e2d\u95f4\uff0c\u60a8\u5fc5\u987b\u76f4\u63a5\u5e94\u7528\u4ee5\u4e0b\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-259d8b58035f86d95cf81c61ea1956f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"173\" style=\"vertical-align: -17px;\"><\/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-d5acb725d11fabc89fb22740f66348dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{3+5}{2} , \\frac{-2+8}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"153\" style=\"vertical-align: -17px;\"><\/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-8cff3d1a803ff1db7e17c7f0a2d5f0aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{8}{2} , \\frac{6}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"79\" style=\"vertical-align: -17px;\"><\/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-1045d884eca101567d164a3edd020721_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\bm{M\\left(4,3\\right)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" 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\u4e602<\/h3>\n<p>\u6c42\u4ece A \u70b9\u5f00\u59cb\u3001\u4e2d\u70b9\u4e3a M \u7684\u7ebf\u6bb5\u7684\u7aef\u70b9\u5750\u6807\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-da22fffbe71a83ee1d0b623d43acc44e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(4,-1) \\qquad M(-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"173\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u6211\u4eec\u77e5\u9053\u8d77\u59cb\u70b9\u548c\u7ebf\u6bb5\u4e2d\u95f4\u7684\u5750\u6807\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5c06\u5df2\u77e5\u7684\u5750\u6807\u4ee3\u5165\u7ebf\u6bb5\u4e2d\u70b9\u7684\u516c\u5f0f\u4e2d\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-15ac6d065547cfecd67e1ade9199e56b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{x_1+x_2}{2} , \\frac{y_1+y_2}{2} \\right)=(x_m,y_m)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"240\" style=\"vertical-align: -17px;\"><\/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-cabf4a34b87d5f7521e7838373858c77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{4+x_2}{2} , \\frac{-1+y_2}{2} \\right)=(-2,1)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"224\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u4ece\u524d\u9762\u7684\u65b9\u7a0b\u4e2d\u89e3\u51fa\u7ebf\u6bb5\u7ec8\u70b9\u7684\u5750\u6807\uff1a <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-185\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">X\u5750\u6807<\/span><\/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-c43b5327bbd2a40b90814aaf8e2c58fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{4+x_2}{2} = -2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"94\" 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-ad91c75516e57a4e86e8d799558270da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4+x_2 = -2 \\cdot 2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"115\" style=\"vertical-align: -3px;\"><\/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-661259dbec707360a6c9b72762dab6ee_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4+x_2 = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -3px;\"><\/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-409ebd4538659914128a2d6e072a90c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2 = -4-4\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"95\" style=\"vertical-align: -3px;\"><\/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-e429416149bd720084ad755ee3d5d44e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2 = -8\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"64\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">Y\u5750\u6807<\/span><\/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-ba2731ecc8219c22d6c469eccdf85529_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{-1+y_2}{2} = 1\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"100\" 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-24ad6e0cc7695293f8bb52174f241d35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1+y_2 = 1 \\cdot 2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"113\" 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-dda4582230517de8e2bb247bd47ad579_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1+y_2 = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"91\" 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-adc4f877b552f1974b0398f064b93ac4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_2 = 2+1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"79\" 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-99710d2d724ee9ded913d4fc19f6ed50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_2 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64\uff0c\u7ebf\u6bb5\u6700\u7ec8\u672b\u7aef\u7684\u5750\u6807\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-8e782e63bf6a08947063cf6b440334d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{B(-8,3)}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" 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>\u7ed9\u5b9a\u4ee5\u4e0b\u5e73\u884c\u56db\u8fb9\u5f62\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\/milieu-d-un-segment-4-qui.webp\" alt=\"\u6bb5 4 \u7684\u4e2d\u95f4\" class=\"wp-image-1188\" width=\"274\" height=\"183\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p>\u6211\u4eec\u77e5\u9053M\u662f\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u4e2d\u5fc3\uff0cA\u3001B\u3001C\u70b9\u7684\u5750\u6807\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-bdd42923dcd18bffb7d25e31ae8d3d75_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A(1,1) \\quad B(5,1) \\quad C(7,3)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"194\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p>\u6839\u636e\u6b64\u4fe1\u606f\u5e76\u4f7f\u7528\u4e2d\u70b9\u516c\u5f0f\u8ba1\u7b97 D \u70b9\u7684\u5750\u6807\u3002 <\/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\">\u8981\u4f7f\u7528\u7ebf\u6bb5\u4e2d\u70b9\u516c\u5f0f\u6c42\u51fa D \u70b9\u7684\u5750\u6807\uff0c\u5fc5\u987b\u5148\u8ba1\u7b97 M \u70b9\u7684\u5750\u6807\uff0c\u7136\u540e\u8ba1\u7b97 D \u70b9\u7684\u5750\u6807\u3002<\/p>\n<p class=\"has-text-align-left\"> M\u70b9\u662f\u7ebf\u6bb5BC\u7684\u4e2d\u70b9\uff0c\u56e0\u6b64\u5b83\u7684\u5750\u6807\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-b00a351c0e1288c3c1234a1607bf1dfa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{5+7}{2} , \\frac{1+3}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"140\" style=\"vertical-align: -17px;\"><\/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-448351843af41a6701e2ab8ca7341f81_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(6,2 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u4e00\u65e6\u6211\u4eec\u77e5\u9053\u4e86M\u70b9\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u627e\u5230D\u70b9\u3002M\u70b9\u4e5f\u662f\u7ebf\u6bb5AD\u7684\u4e2d\u95f4\uff0c\u6240\u4ee5\uff1a<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1487f136277da012127a96d412bcb1a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left(\\frac{1+x_2}{2} , \\frac{1+y_2}{2} \\right)=(6,2)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"196\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-188\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">D\u70b9X\u5750\u6807<\/span><\/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-cb4fd54d2651911cf0f8fd3638f39fb0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1+x_2}{2} = 6\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"81\" 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-a53be209d6149351c5367d7c289ac509_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+x_2 = 12\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"88\" style=\"vertical-align: -3px;\"><\/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-b00de9d02d4a115da066ea2b09b6ebe9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_2 = 11\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: -3px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"> <span style=\"text-decoration: underline;\">D\u70b9Y\u5750\u6807<\/span><\/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-c9118a226b227f29c5d5e47e6fed0584_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{1+y_2}{2} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"78\" 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-3c78e47ab1f1e4c5b59fb7c5485c500a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"1+y_2 = 4\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"79\" 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-99710d2d724ee9ded913d4fc19f6ed50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"y_2 = 3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u56e0\u6b64 D \u70b9\u7684\u5750\u6807\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-548722a65aca99d596a65440d1d79972_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bm{D(11,3}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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\u4e604<\/h3>\n<p>\u8ba1\u7b97\u5782\u76f4\u4e8e\u7ebf\u6bb5 PQ \u4e2d\u70b9\u7684\u76f4\u7ebf\u7684\u8fde\u7eed\u65b9\u7a0b\u3002\u6210\u4e3a\u8981\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-3e4a894322ba599f7554e658df9395ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"52\" style=\"vertical-align: -5px;\"><\/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-50dd0a3989215daca6c630d3aaa40363_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q(5,-2).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E4F0FE\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E4F0FE\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"><strong>\u67e5\u770b\u89e3\u51b3\u65b9\u6848<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u4e3a\u4e86\u786e\u5b9a\u76f4\u7ebf\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u9700\u8981\u5b83\u7684\u65b9\u5411\u5411\u91cf\u548c\u76f4\u7ebf\u4e00\u90e8\u5206\u7684\u70b9\u3002<\/p>\n<p class=\"has-text-align-left\">\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u7ebf\u7684\u65b9\u5411\u5411\u91cf\u5c06\u5782\u76f4\u4e8e\u5411\u91cf<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-8eb47350c9bb5cdf5c2fbef09b52c1e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ}.\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"32\" style=\"vertical-align: -4px;\"><\/p>\n<p>\u56e0\u6b64\u6211\u4eec\u8ba1\u7b97\u5411\u91cf<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2875abb1ba6262667d0f2a0296f0232c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ}:\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"37\" 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-565c54cddbe69956afd690041585f540_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ} = Q - P = (5,-2)-(1,4) = (4,-6)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"315\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u6539\u53d8\u5411\u91cf\u4e4b\u95f4\u7684\u5411\u91cf\u5206\u91cf\uff0c\u7136\u540e\u6539\u53d8\u5206\u91cf\u7684\u7b26\u53f7<a href=\"https:\/\/mathority.org\/cn\/\u6b63\u4ea4\u5782\u76f4\u5411\u91cf\/\">\u6765\u627e\u5230\u5782\u76f4\u4e8e\u53e6\u4e00\u4e2a<\/a>\u5411\u91cf\u7684\u5411\u91cf\uff0c\u56e0\u6b64\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-3b971df6309904cd938ebf8b45e9d806_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\vv{PQ}_\\perp =(6,4)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"102\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u73b0\u5728\u6211\u4eec\u6709\u4e86\u76f4\u7ebf\u7684\u65b9\u5411\u5411\u91cf\uff0c\u56e0\u6b64\u6211\u4eec\u53ea\u9700\u8981\u4e00\u4e2a\u5c5e\u4e8e\u76f4\u7ebf\u7684\u70b9\u3002\u5728\u672c\u4f8b\u4e2d\uff0c\u6307\u4ee4\u544a\u8bc9\u6211\u4eec\u76f4\u7ebf\u7a7f\u8fc7\u7ebf\u6bb5\u7684\u4e2d\u70b9\uff0c\u56e0\u6b64\u6211\u4eec\u4f7f\u7528\u4ee5\u4e0b\u516c\u5f0f\u8ba1\u7b97\u4e2d\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-b477c77b693a48e92a021169634f03d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(\\frac{1+5}{2} , \\frac{4+(-2)}{2} \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"167\" style=\"vertical-align: -17px;\"><\/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-91b3e0dff764bf27e38b0978f5990ff9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle M\\left(3,1 \\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"61\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\">\u6700\u540e\uff0c\u6211\u4eec\u6839\u636e\u8ba1\u7b97\u51fa\u7684\u70b9\u548c\u5411\u91cf\u6784\u9020\u76f4\u7ebf\u7684\u8fde\u7eed\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-c72d8ba3ce097104d7c52e934e0ce1b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\cfrac{x-3}{6}=\\cfrac{y-1}{4}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"106\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u9875\u89e3\u91ca\u7ebf\u6bb5\u4e2d\u70b9\u7684\u542b\u4e49\u3002\u6b64\u5916\uff0c\u60a8\u8fd8\u5c06\u4e86\u89e3\u5982\u4f55\u4f7f\u7528\u516c\u5f0f\u627e\u5230\u7ebf\u6bb5\u7684\u4e2d\u95f4\u4f4d\u7f6e\u3002\u60a8\u751a\u81f3\u4f1a\u770b\u5230\u793a\u4f8b\u3001\u7ec3\u4e60\u548c\u5df2\u89e3\u51b3\u7684\u7ebf\u6bb5\u4e2d &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/cn\/%e7%ba%bf%e6%ae%b5%e5%90%91%e9%87%8f%e4%b8%ad%e7%82%b9%e7%9a%84%e5%85%ac%e5%bc%8f\/\"> <span class=\"screen-reader-text\">\u7ebf\u6bb5\u4e2d\u95f4\u7684\u516c\u5f0f<\/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-73","post","type-post","status-publish","format-standard","hentry","category-15"],"yoast_head":"<!-- This site is optimized 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