{"id":304,"date":"2021-04-13T15:51:35","date_gmt":"2021-04-13T07:51:35","guid":{"rendered":"http:\/\/www.wayln.com\/?p=304"},"modified":"2021-04-15T09:53:43","modified_gmt":"2021-04-15T01:53:43","slug":"2-7-%e8%ae%a1%e7%ae%97%e6%9c%ba%e5%9b%be%e5%bd%a2%e5%ad%a6%e4%b8%ad%e7%9a%84%e5%ba%94%e7%94%a8","status":"publish","type":"post","link":"http:\/\/www.wayln.com\/?p=304","title":{"rendered":"2.7 \u8ba1\u7b97\u673a\u56fe\u5f62\u5b66\u4e2d\u7684\u5e94\u7528"},"content":{"rendered":"<div id=\"toc_container\" class=\"toc_transparent no_bullets\"><p class=\"toc_title\">Contents<\/p><ul class=\"toc_list\"><li><a href=\"#i\"><span class=\"toc_number toc_depth_1\">1<\/span> \u9f50\u6b21\u5750\u6807<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u590d\u5408\u53d8\u6362<\/a><\/li><li><a href=\"#i-3\"><span class=\"toc_number toc_depth_1\">3<\/span> \u9f50\u6b21\u4e09\u7ef4\u5750\u6807<\/a><\/li><li><a href=\"#i-4\"><span class=\"toc_number toc_depth_1\">4<\/span> \u900f\u89c6\u6295\u5f71<\/a><\/li><\/ul><\/div>\n<p>\u5c4f\u5e55\u4e0a\u7684\u7269\u4f53\u7684\u5e73\u79fb\u5e76\u4e0d\u76f4\u63a5\u5bf9\u5e94\u4e8e\u77e9\u9635\u4e58\u6cd5\uff0c\u56e0\u4e3a\u5e73\u79fb\u5e76\u975e\u7ebf\u6027\u53d8\u6362\u3002\u907f\u514d\u8fd9\u4e00\u56f0\u96be\u7684\u6807\u51c6\u529e\u6cd5\u662f\u5f15\u5165\u6240\u8c13\u9f50\u6b21\u5750\u6807\u3002<\/p>\n<h1><span id=\"i\">\u9f50\u6b21\u5750\u6807<\/span><\/h1>\n<p><span class=\"katex math inline\">R^2<\/span>\u4e2d\u7684\u6bcf\u4e2a\u70b9\uff08x,y\uff09\u53ef\u4ee5\u5bf9\u5e94\u4e8e<span class=\"katex math inline\">R^3<\/span>\u4e2d\u7684\uff08x,y,1\uff09\u3002\u4ed6\u4eec\u4f4d\u4e8exy\u5e73\u9762\u4e0a\u65b91\u5355\u4f4d\u7684\u5e73\u9762\u4e0a\u3002\u6211\u4eec\u79f0\uff08x,y\uff09\u6709\u9f50\u6b21\u5750\u6807\uff08x,y,1\uff09\uff0c\u4f8b\u5982\uff0c\u70b9\uff080,0\uff09\u7684\u9f50\u6b21\u5750\u6807\u4e3a(0,0,1)\u3002\u70b9\u7684\u9f50\u6b21\u5750\u6807\u4e0d\u80fd\u76f8\u52a0\uff0c\u4e5f\u4e0d\u80fd\u4e58\u4ee5\u6570\uff0c\u4f46\u4ed6\u4eec\u53ef\u4ee5\u4e58\u4ee53&#215;3\u77e9\u9635\u6765\u505a\u53d8\u6362\u3002<br \/>\n<strong>\u4f8b 4<\/strong>\u3000\u5f62\u5982<span class=\"katex math inline\">(x,y) \\mapsto (x+h,y+h)<\/span>\u7684\u5e73\u79fb\u53ef\u4ee5\u7528\u9f50\u6b21\u5750\u6807\u5199\u6210<span class=\"katex math inline\">(x,y,1) \\mapsto (x+h,y+k,1)<\/span>\uff0c\u8fd9\u4e2a\u53d8\u6362\u53ef\u7528\u77e9\u9635\u4e58\u6cd5\u6765\u5b9e\u73b0<\/p>\n<div class=\"katex math multi-line no-emojify\">\\begin{bmatrix}<br \/>\n1&amp;0&amp;h\\\\<br \/>\n0&amp;1&amp;k\\\\<br \/>\n0&amp;0&amp;1<br \/>\n\\end{bmatrix}<br \/>\n\\begin{bmatrix}<br \/>\nx\\\\y\\\\1<br \/>\n\\end{bmatrix}=<br \/>\n\\begin{bmatrix}<br \/>\nx+h\\\\<br \/>\ny+k\\\\<br \/>\n1<br \/>\n\\end{bmatrix}\n<\/div>\n<p><strong>\u4f8b 5<\/strong>\u3000<span class=\"katex math inline\">R^2<\/span>\u4e2d\u4efb\u610f\u7ebf\u6027\u53d8\u6362\u4e5f\u53ef\u7528\u901a\u8fc7\u9f50\u6b21\u5750\u6807\u4e58\u4ee5\u5206\u5757\u77e9\u9635<span class=\"katex math inline\">\\begin{bmatrix}A&amp;0&#92;\\0&amp;1\\end{bmatrix}<\/span>\u5b9e\u73b0\uff0c\u5176\u4e2dA\u662f2&#215;2\u77e9\u9635\uff0c\u5178\u578b\u7684\u4f8b\u5b50\u662f\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">\\begin{bmatrix}<br \/>\ncos\\phi&amp;-sin\\phi&amp;0\\\\<br \/>\nsin\\phi&amp;cos\\phi&amp;0\\\\<br \/>\n0&amp;0&amp;1<br \/>\n\\end{bmatrix}<br \/>\n\u7ed5\u539f\u70b9\u9006\u65f6\u9488\u65cb\u8f6c\u89d2\u5ea6\\phi\n<\/div>\n<div class=\"katex math multi-line no-emojify\">\\begin{bmatrix}<br \/>\n0&amp;1&amp;0\\\\<br \/>\n1&amp;0&amp;0\\\\<br \/>\n0&amp;0&amp;1<br \/>\n\\end{bmatrix}<br \/>\n\u5173\u4e8ey=x\u7684\u5bf9\u79f0\n<\/div>\n<div class=\"katex math multi-line no-emojify\">\\begin{bmatrix}<br \/>\ns&amp;0&amp;0\\\\<br \/>\n0&amp;t&amp;0\\\\<br \/>\n0&amp;0&amp;1<br \/>\n\\end{bmatrix}<br \/>\nx\u4e58\u4ee5s,y\u4e58\u4ee5t\n<\/div>\n<h1><span id=\"i-2\">\u590d\u5408\u53d8\u6362<\/span><\/h1>\n<p>\u56fe\u5f62\u5728\u8ba1\u7b97\u673a\u5c4f\u5e55\u4e0a\u7684\u79fb\u52a8\u901a\u5e38\u9700\u8981\u4e24\u4e2a\u6216\u591a\u4e2a\u57fa\u672c\u53d8\u6362\uff0c\u8fd9\u4e9b\u53d8\u6362\u7684\u590d\u5408\u76f8\u5e94\u4e8e\u5728\u4f7f\u7528\u9f50\u6b21\u5750\u6807\u65f6\u8fdb\u884c\u77e9\u9635\u76f8\u4e58\u3002<\/p>\n<h1><span id=\"i-3\">\u9f50\u6b21\u4e09\u7ef4\u5750\u6807<\/span><\/h1>\n<p>\u7c7b\u4f3c\u4e8e\u4e8c\u7ef4\u60c5\u5f62\uff0c\u6211\u4eec\u79f0(x,y,z,1)\u662f<span class=\"katex math inline\">R^3<\/span>\u4e2d\u70b9(x,y,z)\u7684\u9f50\u6b21\u5750\u6807\u3002\u4e00\u822c\u5730\uff0c\u82e5<span class=\"katex math inline\">H \\neq 0<\/span>,\u5219(X,Y,Z,H)\u662f(x,y,z)\u7684\u9f50\u6b21\u5750\u6807\uff0c\u4e14<\/p>\n<div class=\"katex math multi-line no-emojify\">x=\\frac{X}{H},y=\\frac{Y}{H},z=\\frac{Z}{H} \\tag{1}\n<\/div>\n<p>\uff08x,y,z,1\uff09\u7684\u6bcf\u4e00\u4e2a\u975e\u96f6\u7684\u6807\u91cf\u4e58\u6cd5\u5f97\u5230\u4e00\u7ec4\uff08x,y,z\uff09\u7684\u9f50\u6b21\u5750\u6807\uff0c\u4f8b\u5982(10,-6,14,2)\u548c\uff08-15,9,-21\uff0c-3\uff09\u90fd\u662f(5,-3,7)\u7684\u9f50\u6b21\u5750\u6807\u3002<\/p>\n<h1><span id=\"i-4\">\u900f\u89c6\u6295\u5f71<\/span><\/h1>\n<p>\u4e09\u7ef4\u7269\u4f53\u5728\u4e8c\u7ef4\u8ba1\u7b97\u673a\u5c4f\u5e55\u4e0a\u7684\u8868\u793a\u65b9\u6cd5\u662f\u628a\u5b83\u6295\u5f71\u5728\u4e00\u4e2a\u53ef\u89c6\u5e73\u9762\u4e0a\u3002\uff08\u6211\u4eec\u5ffd\u7565\u5176\u91cd\u8981\u6b65\u9aa4\uff0c\u4f8b\u5982\u9009\u62e9\u53ef\u89c6\u5e73\u9762\u4e0a\u663e\u793a\u5728\u5c4f\u5e55\u4e0a\u7684\u90e8\u5206\uff09\u4e3a\u4e86\u7b80\u5355\u8d77\u89c1\uff0c\u8bbexy\u5e73\u9762\u8868\u793a\u8ba1\u7b97\u673a\u5c4f\u5e55\uff0c\u5047\u8bbe\u67d0\u4e00\u89c2\u5bdf\u8005\u7684\u773c\u775b\u5411\u6b63z\u8f74\u770b\u53bb\uff0c\u773c\u775b\u7684\u4f4d\u7f6e\u662f\uff080,0,d\uff09,<strong>\u900f\u89c6\u6295\u5f71<\/strong>\u628a\u6ca1\u4e2a\u70b9<span class=\"katex math inline\">(x,y,z)<\/span>\u6620\u5c04\u4e3a\u70b9<span class=\"katex math inline\">(x^\\ast,y^\\ast,0)<\/span>,\u4f7f\u8fd9\u4e24\u70b9\u4e0e\u89c2\u5bdf\u8005\u7684\u773c\u775b\u4f4d\u7f6e\uff08\u79f0\u4e3a\u900f\u89c6\u4e2d\u5fc3\uff09\u5728\u4e00\u6761\u76f4\u7ebf\u4e0a\u3002<br \/>\n<a class=\"wp-editor-md-post-content-link\" href=\"http:\/\/www.wayln.com\/wp-content\/uploads\/2021\/04\/wp_editor_md_aba94665f4062b54347d3f7d970e3f8d.jpg\"><img decoding=\"async\" src=\"http:\/\/www.wayln.com\/wp-content\/uploads\/2021\/04\/wp_editor_md_aba94665f4062b54347d3f7d970e3f8d.jpg\" alt=\"\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contents1 \u9f50\u6b21\u5750\u68072 \u590d\u5408\u53d8\u63623 \u9f50\u6b21\u4e09\u7ef4\u5750\u68074 \u900f\u89c6\u6295\u5f71 \u5c4f\u5e55\u4e0a\u7684\u7269\u4f53\u7684\u5e73\u79fb\u5e76\u4e0d\u76f4\u63a5\u5bf9\u5e94\u4e8e\u77e9\u9635\u4e58\u6cd5 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":335,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,22,26],"tags":[],"class_list":["post-304","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-21","category-22","category-26"],"_links":{"self":[{"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/304","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=304"}],"version-history":[{"count":1,"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/304\/revisions"}],"predecessor-version":[{"id":305,"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/304\/revisions\/305"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/media\/335"}],"wp:attachment":[{"href":"http:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=304"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}