{"id":27542,"date":"2021-08-16T13:00:38","date_gmt":"2021-08-16T13:00:38","guid":{"rendered":"http:\/\/toposuranos.com\/material\/?p=27542"},"modified":"2024-08-06T14:08:51","modified_gmt":"2024-08-06T14:08:51","slug":"%e5%b9%b3%e9%9d%a2%e9%95%9c%e5%92%8c%e7%90%83%e9%9d%a2%e9%95%9c%e7%9a%84%e5%8f%8d%e5%b0%84","status":"publish","type":"post","link":"http:\/\/toposuranos.com\/material\/zh\/%e5%b9%b3%e9%9d%a2%e9%95%9c%e5%92%8c%e7%90%83%e9%9d%a2%e9%95%9c%e7%9a%84%e5%8f%8d%e5%b0%84\/","title":{"rendered":"\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04"},"content":{"rendered":"<p><center><\/p>\n<h1>\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04<\/h1>\n<p><em><strong>\u6458\u8981\uff1a<\/strong><br \/>\n\u672c\u8bfe\u7a0b\u5c06\u56de\u987e\u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u539f\u7406\uff0c\u91cd\u70b9\u4ecb\u7ecd\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04\u3002\u5b9a\u4e49\u4e86\u5173\u952e\u672f\u8bed\u5982\u5149\u7ebf\u3001\u70b9\u7269\u4f53\u548c\u70b9\u50cf\u3002\u6b64\u5916\uff0c\u8fd8\u8ba8\u8bba\u4e86\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219\u4ee5\u53ca\u7b1b\u5361\u5c14\u516c\u5f0f\u7528\u4e8e\u8ba1\u7b97\u50cf\u7684\u4f4d\u7f6e\u3002\u8bfe\u7a0b\u8fd8\u63a2\u8ba8\u4e86\u51f9\u9762\u955c\u548c\u51f8\u9762\u955c\u7684\u7279\u6027\uff0c\u4ee5\u53ca\u5b83\u4eec\u5bf9\u771f\u5b9e\u548c\u865a\u62df\u56fe\u50cf\u5f62\u6210\u7684\u5f71\u54cd\u3002\u6700\u540e\uff0c\u4ecb\u7ecd\u4e86\u653e\u5927\u7cfb\u6570\uff0c\u4ee5\u63cf\u8ff0\u76f8\u5bf9\u4e8e\u539f\u59cb\u7269\u4f53\u7684\u56fe\u50cf\u5c3a\u5bf8\u548c\u65b9\u5411\u7684\u53d8\u5316\u3002<\/em><\/p>\n<p><strong>\u5b66\u4e60\u76ee\u6807<\/strong><br \/>\n\u8bfe\u7a0b\u7ed3\u675f\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a<\/p>\n<ol style=\"text-align:left;\">\n<li><strong>\u7406\u89e3<\/strong>\u51e0\u4f55\u5149\u5b66\u4f5c\u4e3a\u7535\u78c1\u5149\u5b66\u7684\u7b80\u5316\uff0c\u901a\u8fc7\u4f7f\u7528\u51e0\u4f55\u5b66\u548c\u8ba1\u7b97\u6765\u7406\u89e3\u6210\u50cf\u7684\u5f62\u6210\u3002<\/li>\n<li><strong>\u4e86\u89e3<\/strong>\u53cd\u5c04\u548c\u6298\u5c04\u7684\u89c4\u5f8b\u53ca\u5176\u5728\u955c\u5b50\u548c\u900f\u955c\u6210\u50cf\u4e2d\u7684\u5e94\u7528\u3002<\/li>\n<li><strong>\u7406\u89e3\u548c\u533a\u5206<\/strong>\u5173\u952e\u6982\u5ff5\uff0c\u5982\u5149\u7ebf\u3001\u6295\u5f71\u5149\u7ebf\u3001\u70b9\u7269\u4f53\u548c\u70b9\u50cf\u3002<\/li>\n<li><strong>\u5e94\u7528<\/strong>\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219\u6765\u786e\u5b9a\u7269\u4f53\u548c\u50cf\u7684\u4f4d\u7f6e\u3002<\/li>\n<li><strong>\u5206\u6790<\/strong>\u5e73\u9762\u955c\u4e2d\u7684\u6210\u50cf\u8fc7\u7a0b\uff0c\u5f3a\u8c03\u56fe\u50cf\u7684\u5bf9\u79f0\u6027\u548c\u865a\u62df\u6027\u8d28\u3002<\/li>\n<\/ol>\n<p><u><strong>\u5185\u5bb9\u76ee\u5f55<\/strong><\/u><br \/>\n<a href=\"#1\"><strong>\u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u6982\u5ff5<\/strong><\/a><br \/>\n<a href=\"#2\">\u5b9a\u4e49<\/a><br \/>\n<a href=\"#3\">\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219<\/a><br \/>\n<a href=\"#4\"><strong>\u5e73\u9762\u955c\u548c\u955c\u50cf\u53cd\u5c04<\/strong><\/a><br \/>\n<a href=\"#5\">\u70b9\u7269\u4f53\u5728\u5e73\u9762\u955c\u524d<\/a><br \/>\n<a href=\"#6\">\u6269\u5c55\u7269\u4f53\u5728\u5e73\u9762\u955c\u524d<\/a><br \/>\n<a href=\"#7\"><strong>\u7403\u9762\u955c\u7684\u53cd\u5c04<\/strong><\/a><br \/>\n<a href=\"#8\">\u7269\u4f53\u4f4d\u7f6e\u4e0e\u7403\u9762\u955c\u4e2d\u50cf\u7684\u5173\u7cfb<\/a><br \/>\n<a href=\"#9\">\u6781\u9650\u60c5\u51b5\uff0c\u5f53 <span class=\"katex-eq\" data-katex-display=\"false\">s\\to +\\infty<\/span><\/a><br \/>\n<a href=\"#10\">\u6269\u5c55\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u53cd\u5c04<\/a><br \/>\n<a href=\"#11\">\u51f9\u9762\u955c\u548c\u51f8\u9762\u955c<\/a><br \/>\n<a href=\"#12\">\u653e\u5927\u7cfb\u6570\u53ca\u5176\u89e3\u91ca<\/a>\n<\/p>\n<p><iframe class=\"lazyload\" width=\"560\" height=\"315\" data-src=\"https:\/\/www.youtube.com\/embed\/Ze0lpO0gDys\" title=\"YouTube \u89c6\u9891\u64ad\u653e\u5668\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/center><\/p>\n<p><a name=\"1\"><\/a><\/p>\n<h2>\u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u6982\u5ff5<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=179s\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #ff0000;\"><strong>\u51e0\u4f55\u5149\u5b66\u662f<\/strong><\/span><\/a> \u7535\u78c1\u5149\u5b66\u7684\u4e00\u79cd\u7b80\u5316\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u8f7b\u677e\u7406\u89e3\u56fe\u50cf\u7684\u5f62\u6210\u53ca\u5176\u7279\u6027\u3002\u901a\u8fc7\u51e0\u4f55\u5b66\u548c\u8ba1\u7b97\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u53cd\u5c04\u548c\u6298\u5c04\u7684\u89c4\u5f8b\uff0c\u4ece\u800c<strong>\u7406\u89e3\u955c\u5b50\u548c\u900f\u955c\u7684\u6210\u50cf\u8fc7\u7a0b\u3002<\/strong> \u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u5b66\u4e60\u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u4ee5\u53ca<strong>\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04\u3002<\/strong><\/p>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=315s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u4e3a\u4e86\u5f00\u59cb\u8ba8\u8bba<\/span><\/strong><\/a>\u8fd9\u4e9b\u6982\u5ff5\u5e76\u8fdb\u884c\u63a8\u65ad\uff0c\u6211\u4eec\u5c06\u5b9a\u4e49\u4e00\u4e9b\u5173\u952e\u6982\u5ff5\uff1a<\/p>\n<p><a name=\"2\"><\/a><\/p>\n<h3>\u5b9a\u4e49<\/h3>\n<table style=\"color: #000000;\">\n<tbody>\n<tr>\n<td><strong>\u5149\u7ebf<\/strong><\/td>\n<td>\u8868\u793a\u5149\u4f20\u64ad\u8def\u5f84\u7684\u5047\u60f3\u7ebf\u3002\u5982\u679c\u5149\u6e90\u662f\u4e00\u4e2a<strong>\u70b9\u7269\u4f53\uff0c<\/strong>\u5219\u5149\u4ece\u5b83\u53d1\u51fa\u5f62\u6210\u7403\u9762\u7535\u78c1\u6ce2\uff1b\u5149\u7ebf\u56e0\u6b64\u8868\u793a\u80fd\u91cf\u6d41\u7684\u65b9\u5411\uff0c\u6216\u8005\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u8868\u793a\u5761\u5370\u5ef7\u77e2\u91cf\u7684\u65b9\u5411\u3002<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 200px;\"><strong>\u6295\u5f71\u5149\u7ebf<\/strong><\/td>\n<td>\u8868\u793a\u5149\u7ebf\u5ef6\u957f\u7ebf\u7684\u5047\u60f3\u7ebf\u3002<\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td><strong>\u70b9\u7269\u4f53\u6216\u70b9\u5149\u6e90<\/strong><\/td>\n<td>\u7a7a\u95f4\u4e2d\u7684\u4e00\u4e2a\u70b9\uff0c\u4ece\u4e2d\u53d1\u51fa\u6216\u53cd\u5c04\u5149\u7ebf\u3002\u7269\u4f53\u53ef\u4ee5\u662f\u70b9\u72b6\u7684\u6216\u6269\u5c55\u7684\uff1b\u5982\u679c\u662f\u70b9\u72b6\u7684\uff0c\u5219\u6ca1\u6709\u5f62\u72b6\uff0c\u53ea\u6709\u4f4d\u7f6e\uff1b\u5982\u679c\u662f\u6269\u5c55\u7684\uff0c\u5219\u5177\u6709\u6709\u9650\u4e14\u975e\u96f6\u7684\u4f53\u79ef\u548c\u5305\u56f4\u5b83\u7684\u8868\u9762\u3002<\/td>\n<\/tr>\n<tr>\n<td><strong>\u70b9\u50cf<\/strong><\/td>\n<td>\u5149\u7ebf\u6216\u6295\u5f71\u5149\u7ebf\u5728\u7a7a\u95f4\u4e2d\u7684\u4f1a\u805a\u70b9\u3002<\/td>\n<\/tr>\n<tr>\n<td><strong>\u53cd\u5c04<\/strong><\/td>\n<td>\u5149\u7ebf\u5728\u9047\u5230\u53cd\u5c04\u9762\u65f6\u6539\u53d8\u65b9\u5411\u7684\u8fc7\u7a0b\u3002<\/td>\n<\/tr>\n<tr>\n<td><strong>\u6298\u5c04<\/strong><\/td>\n<td>\u5149\u7ebf\u5728\u7a7f\u8fc7\u4e0d\u540c\u4ecb\u8d28\u65f6\u6539\u53d8\u65b9\u5411\u548c\u901f\u5ea6\u7684\u8fc7\u7a0b\u3002<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><a name=\"3\"><\/a><\/p>\n<h3>\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=596s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u51e0\u4f55\u5149\u5b66\u4e2d<\/span><\/strong><\/a> \u4e00\u4e2a\u6709\u7528\u7684\u6982\u5ff5\u662f\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219\uff1a<\/p>\n<ul>\n<li><strong>\u7269\u4f53\u4f4d\u7f6e\uff1a<\/strong> \u5982\u679c\u7269\u4f53\u4f4d\u4e8e\u53cd\u5c04\u9762\u6765\u5149\u4e00\u4fa7\uff0c\u5219\u5176\u4f4d\u7f6e\u7684\u91cf <span class=\"katex-eq\" data-katex-display=\"false\">s<\/span> \u662f\u6b63\u6570\uff0c\u53cd\u4e4b\u5219\u4e3a\u8d1f\u6570\u3002<\/li>\n<li><strong>\u50cf\u7684\u4f4d\u7f6e\uff1a<\/strong> \u5982\u679c\u50cf\u4f4d\u4e8e\u53cd\u5c04\u9762\u51fa\u5149\u4e00\u4fa7\uff0c\u5219\u5176\u4f4d\u7f6e\u7684\u91cf <span class=\"katex-eq\" data-katex-display=\"false\">s^\\prime<\/span> \u4e3a\u6b63\u6570\uff0c\u53cd\u4e4b\u5219\u4e3a\u8d1f\u6570\u3002<\/li>\n<\/ul>\n<p style=\"text-align: justify; color: #000000;\">\u5728\u5e73\u9762\u955c\u4e2d\uff0c\u603b\u662f\u6ee1\u8db3\u7b49\u5f0f <span class=\"katex-eq\" data-katex-display=\"false\">s=-s^\\prime.<\/span>\n<p><a name=\"4\"><\/a><\/p>\n<h2>\u5e73\u9762\u955c\u548c\u955c\u50cf\u53cd\u5c04<\/h2>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=795s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6700\u7b80\u5355\u7684\u53cd\u5c04\u9762<\/span><\/strong><\/a> \u662f\u5e73\u9762\u955c\u3002\u5728\u8fd9\u4e9b\u955c\u5b50\u4e2d\uff0c\u53ef\u4ee5\u89c2\u5bdf\u5230\u6240\u6709\u4ee5\u89d2\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">\\theta<\/span> \u76f8\u5bf9\u4e8e\u955c\u9762\u6cd5\u7ebf\u5165\u5c04\u7684\u5149\u7ebf\u90fd\u4ee5\u89d2\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">\\theta^\\prime =\\theta.<\/span> \u53cd\u5c04\u3002\u56e0\u6b64\uff0c\u89c2\u5bdf\u8005\u770b\u5230\u53cd\u5c04\u5149\u7ebf\u65f6\uff0c\u4f1a\u89c9\u5f97\u53cd\u5c04\u7684\u7269\u4f53\u4f4d\u4e8e\u955c\u5b50\u540e\u9762\u3002<\/p>\n<p><a name=\"5\"><\/a><\/p>\n<h3>\u70b9\u7269\u4f53\u5728\u5e73\u9762\u955c\u524d<\/h3>\n<p style=\"text-align: justify; color: #000000;\">\u5728\u5e73\u9762\u955c\u4e2d\u5f62\u6210\u7684\u50cf\u662f\u5bf9\u79f0\u7684\u4e14\u662f\u865a\u50cf\u3002\u5bf9\u79f0\u610f\u5473\u7740\u7269\u4f53\u548c\u955c\u5b50\u7684\u8ddd\u79bb\u4e0e\u50cf\u548c\u955c\u5b50\u7684\u8ddd\u79bb\u76f8\u540c\uff0c\u800c\u865a\u50cf\u610f\u5473\u7740\u50cf\u201c\u5728\u955c\u5b50\u540e\u9762\u201d\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-mMoRSOOSEvk\/YRXkH9OiYDI\/AAAAAAAAFZg\/_dJmGpPbn30eWs4eZGlpOAjlTg1ZAd9FACLcBGAsYHQ\/s0\/espejo-plano.PNG\" width=\"618\" height=\"264\" alt=\"\u7269\u4f53\u548c\u5728\u5e73\u9762\u955c\u4e2d\u7684\u53cd\u5c04\u50cf\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-mMoRSOOSEvk\/YRXkH9OiYDI\/AAAAAAAAFZg\/_dJmGpPbn30eWs4eZGlpOAjlTg1ZAd9FACLcBGAsYHQ\/s0\/espejo-plano.PNG\" width=\"618\" height=\"264\" alt=\"\u7269\u4f53\u548c\u5728\u5e73\u9762\u955c\u4e2d\u7684\u53cd\u5c04\u50cf\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p><a name=\"6\"><\/a><\/p>\n<h3>\u6269\u5c55\u7269\u4f53\u5728\u5e73\u9762\u955c\u524d<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=948s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5982\u679c\u89c2\u5bdf\u8005\u5ffd\u7565<\/span><\/strong><\/a> \u6269\u5c55\u7269\u4f53\u548c\u955c\u5b50\u7684\u5b58\u5728\uff0c\u5728\u63a5\u6536\u53cd\u5c04\u5149\u7ebf\u65f6\u4f1a\u5c06\u5b83\u4eec\u89e3\u91ca\u4e3a\u6765\u81ea\u50cf\u7684\u5149\u7ebf\uff0c\u5c31\u50cf\u50cf\u662f\u4e00\u4e2a\u771f\u5b9e\u7269\u4f53\u4e00\u6837\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-H1UGdQb5sgY\/YRbmbS-_H1I\/AAAAAAAAFZo\/x1cCRQAdXIYV6uMlWyAhQHbLa8_S13mkQCLcBGAsYHQ\/s0\/objeto-extendido-espejo%2Bplano.PNG\" width=\"618\" height=\"264\" alt=\"\u6269\u5c55\u7269\u4f53\u548c\u5728\u5e73\u9762\u955c\u524d\u7684\u53cd\u5c04\u50cf\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-H1UGdQb5sgY\/YRbmbS-_H1I\/AAAAAAAAFZo\/x1cCRQAdXIYV6uMlWyAhQHbLa8_S13mkQCLcBGAsYHQ\/s0\/objeto-extendido-espejo%2Bplano.PNG\" width=\"618\" height=\"264\" alt=\"\u6269\u5c55\u7269\u4f53\u548c\u5728\u5e73\u9762\u955c\u524d\u7684\u53cd\u5c04\u50cf\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><br \/>\n<a name=\"7\"><\/a><\/p>\n<h2>\u7403\u9762\u955c\u7684\u53cd\u5c04<\/h2>\n<p><a name=\"8\"><\/a><\/p>\n<h3>\u7269\u4f53\u4f4d\u7f6e\u4e0e\u7403\u9762\u955c\u4e2d\u50cf\u7684\u5173\u7cfb<\/h3>\n<p><center><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=1092s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u8003\u8651\u4e00\u4e2a\u7403\u9762\u955c<\/span><\/strong><\/a> \u534a\u5f84\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">r.<\/span> \u5982\u679c\u5c06\u7269\u4f53\u653e\u7f6e\u5728\u8ddd\u9876\u70b9\u8ddd\u79bb <span class=\"katex-eq\" data-katex-display=\"false\">s<\/span> \u5904\uff0c\u5219\u50cf\u5c06\u51fa\u73b0\u5728\u70b9 <span class=\"katex-eq\" data-katex-display=\"false\">s^\\prime,<\/span> \u5982\u56fe\u6240\u793a\uff1a<\/p>\n<p><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-XVOtDyTIR_Q\/YRcog7ZzhuI\/AAAAAAAAFaI\/l20l-kAWQjUqthdJjouuFR6xuWYtKKjqgCLcBGAsYHQ\/s0\/objeto-espejo-esferico.PNG\" width=\"618\" height=\"264\" alt=\"\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u53cd\u5c04\u50cf\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-XVOtDyTIR_Q\/YRcog7ZzhuI\/AAAAAAAAFaI\/l20l-kAWQjUqthdJjouuFR6xuWYtKKjqgCLcBGAsYHQ\/s0\/objeto-espejo-esferico.PNG\" width=\"618\" height=\"264\" alt=\"\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u53cd\u5c04\u50cf\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u7531\u4e8e\u4e09\u89d2\u5f62\u7684\u5185\u89d2\u548c\u4e3a <span class=\"katex-eq\" data-katex-display=\"false\">\\pi[rad],<\/span> \u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\begin{array}{lr}\n\n\\phi + \\theta + \\pi - \\beta =\\pi\\; &amp;\\Longrightarrow {\\beta = \\phi + \\theta}\\\\ \\\\\n\n\\alpha + \\theta + \\pi - \\phi =\\pi\\; &amp;\\Longrightarrow {\\theta = \\phi - \\alpha}\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u7531\u6b64\u53ef\u63a8\u65ad\u51fa <span class=\"katex-eq\" data-katex-display=\"false\">\\beta = 2\\phi - \\alpha <\/span>\uff0c\u56e0\u6b64<\/p>\n<p style=\"text-align: center; background-color: #88ff88;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\color{blue}{\\alpha + \\beta = 2\\phi}.<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u901a\u8fc7\u8fd9\u4e9b\u4fe1\u606f\uff0c\u53ef\u4ee5\u63a8\u65ad\u51fa\u7269\u4f53\u548c\u50cf\u7684\u4f4d\u7f6e <span class=\"katex-eq\" data-katex-display=\"false\">s<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">s^\\prime<\/span> \u4e4b\u95f4\u7684\u5173\u7cfb\u3002\u6211\u4eec\u89c2\u5bdf\u5230\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\tan(\\alpha) &amp;\\displaystyle = \\frac{h}{s - \\delta} \\\\ \\\\\n\n\\tan(\\beta) &amp;\\displaystyle = \\frac{h}{s^\\prime - \\delta} \\\\ \\\\\n\n\\tan(\\phi) &amp;\\displaystyle = \\frac{h}{s - \\delta}\n\n\\end{array}\n\n<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u73b0\u5728\uff0c\u5982\u679c\u7269\u4f53\u8ddd\u79bb\u955c\u5b50\u8db3\u591f\u8fdc\uff0c\u6216\u66f2\u7387\u534a\u5f84\u8db3\u591f\u5927\uff0c\u53ef\u4ee5\u5047\u8bbe\u89d2\u5ea6 <span class=\"katex-eq\" data-katex-display=\"false\">\\alpha, \\beta<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">\\phi<\/span> \u63a5\u8fd1\u4e8e\u96f6\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4ee5\u4e0b\u8fd1\u4f3c\u6210\u7acb\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\begin{array}{rl}\n\n\\delta &amp; \\approx 0 \\\\ \\\\\n\n\\alpha &amp;\\displaystyle \\approx \\tan(\\alpha) \\approx \\frac{h}{s} \\\\ \\\\\n\n\\beta &amp;\\displaystyle \\approx \\tan(\\beta) \\approx \\frac{h}{s^\\prime} \\\\ \\\\\n\n\\phi &amp;\\displaystyle \\approx \\tan(\\phi) \\approx \\frac{h}{r}\n\n\\end{array}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u5c06\u8fd9\u4e9b\u8fd1\u4f3c\u4ee3\u5165\u7eff\u8272\u9ad8\u4eae\u7684\u65b9\u7a0b\u4e2d\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle \\frac{h}{s}+\\frac{h}{s^\\prime}\\approx\\frac{2h}{r}\n\n<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u6700\u540e\uff0c\u7b80\u5316 <span class=\"katex-eq\" data-katex-display=\"false\">h<\/span> \u5e76\u66ff\u6362 <span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle f = \\frac{r}{2}<\/span> \u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><strong><span class=\"katex-eq\" data-katex-display=\"false\">\n\\displaystyle\\color{blue}{\\frac{1}{s}+\\frac{1}{s^\\prime}\\approx\\frac{1}{f}}\n\n<\/span><\/strong><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8fd9\u5c31\u662f\u6240\u8c13\u7684\u201c\u7b1b\u5361\u5c14\u516c\u5f0f\u201d\uff0c\u9002\u7528\u4e8e\u5f00\u53e3\u8f83\u5c0f\u7684\u7403\u9762\u955c\uff0c\u5176\u4e2d <span class=\"katex-eq\" data-katex-display=\"false\">f<\/span> \u662f\u955c\u5b50\u7684\u7126\u8ddd\u3002<\/p>\n<p><a name=\"9\"><\/a><\/p>\n<h4>\u6781\u9650\u60c5\u51b5\uff0c\u5f53 <span class=\"katex-eq\" data-katex-display=\"false\">s\\to+\\infty<\/span><\/h4>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=1748s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5982\u679c\u8ba1\u7b97<\/span><\/strong><\/a> <span class=\"katex-eq\" data-katex-display=\"false\">s^\\prime<\/span> \u7684\u503c\u5e76\u6c42 <span class=\"katex-eq\" data-katex-display=\"false\">s\\to+\\infty<\/span> \u65f6\u7684\u6781\u9650\u503c\uff0c\u5219\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle s^\\prime = \\frac{1}{\\frac{1}{f}-\\frac{1}{s}} =\\frac{sf}{s-f}<\/span>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle\\lim_{s\\to +\\infty}s^\\prime = \\lim_{s\\to +\\infty}\\frac{sf}{s-f}=f<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u6362\u53e5\u8bdd\u8bf4\uff0c\u5982\u679c\u5c06\u5149\u6e90\u653e\u7f6e\u5728\u975e\u5e38\u8fdc\u7684\u5730\u65b9\uff0c\u5219\u4ece\u5149\u6e90\u53d1\u51fa\u7684\u5149\u7ebf\u5230\u8fbe\u955c\u5b50\u65f6\u5c06\u6cbf\u6c34\u5e73\u8def\u5f84\u4f20\u64ad\uff0c\u5e76\u5728\u955c\u5b50\u53cd\u5c04\u65f6\u901a\u8fc7\u7126\u70b9\uff0c\u5982\u56fe\u6240\u793a\uff1a<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-DuLxeEzpreA\/YRiDferq6uI\/AAAAAAAAFag\/nJs3uKnA5cAqQ4xhFxGJVB715kRJ4NHFgCLcBGAsYHQ\/s0\/espejo-esferico-casolimite.PNG\" width=\"618\" height=\"264\" alt=\"\u4ece\u65e0\u9650\u8fdc\u5904\u6765\u7684\u5149\u7ebf\u5728\u7403\u9762\u955c\u4e2d\u53cd\u5c04\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-DuLxeEzpreA\/YRiDferq6uI\/AAAAAAAAFag\/nJs3uKnA5cAqQ4xhFxGJVB715kRJ4NHFgCLcBGAsYHQ\/s0\/espejo-esferico-casolimite.PNG\" width=\"618\" height=\"264\" alt=\"\u4ece\u65e0\u9650\u8fdc\u5904\u6765\u7684\u5149\u7ebf\u5728\u7403\u9762\u955c\u4e2d\u53cd\u5c04\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><br \/>\n<a name=\"10\"><\/a><\/p>\n<h3>\u6269\u5c55\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u53cd\u5c04<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=1878s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6211\u4eec\u8fc4\u4eca\u4e3a\u6b62<\/span><\/strong><\/a> \u8ba8\u8bba\u7684\u7ed3\u679c\u5c06\u5e2e\u52a9\u6211\u4eec\u51e0\u4f55\u5730\u627e\u5230\u6269\u5c55\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u6210\u50cf\u4f4d\u7f6e\u3002\u53ea\u9700\u6ce8\u610f\u6240\u6709\u6c34\u5e73\u5149\u7ebf\u53cd\u5c04\u540e\u7ecf\u8fc7\u7126\u70b9\uff0c\u6240\u6709\u7ecf\u8fc7\u7126\u70b9\u7684\u5149\u7ebf\u53cd\u5c04\u540e\u6c34\u5e73\uff0c\u5c40\u90e8\u6765\u770b\uff08\u5149\u7ebf\u649e\u51fb\u7403\u9762\u955c\u7684\u70b9\uff09\uff0c\u7403\u9762\u955c\u7684\u884c\u4e3a\u5982\u540c\u5e73\u9762\u955c\uff0c\u56e0\u6b64\u5165\u5c04\u89d2\u7b49\u4e8e\u53cd\u5c04\u89d2\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-dBrwLgxx-Hw\/YRif1YsG-JI\/AAAAAAAAFaw\/UURe6b9HaXoAlb-cKOM33EwZ0aFxAigMwCLcBGAsYHQ\/s0\/objeto-extendido-espejo-esferico.PNG\" width=\"720\" height=\"594\" alt=\"\u6269\u5c55\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u6210\u50cf\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-dBrwLgxx-Hw\/YRif1YsG-JI\/AAAAAAAAFaw\/UURe6b9HaXoAlb-cKOM33EwZ0aFxAigMwCLcBGAsYHQ\/s0\/objeto-extendido-espejo-esferico.PNG\" width=\"720\" height=\"594\" alt=\"\u6269\u5c55\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u6210\u50cf\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u6269\u5c55\u7269\u4f53\u7684\u6bcf\u4e2a\u70b9\u53d1\u51fa\u7684\u5149\u7ebf\u5728\u7ecf\u8fc7\u955c\u5b50\u53cd\u5c04\u540e\uff0c\u4f1a\u805a\u4e8e\u50cf\u7684\u5bf9\u5e94\u70b9\u3002<\/p>\n<p><a name=\"11\"><\/a><\/p>\n<h3>\u51f9\u9762\u955c\u548c\u51f8\u9762\u955c<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=2227s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u6211\u4eec\u8fc4\u4eca\u4e3a\u6b62<\/span><\/strong><\/a> \u8ba8\u8bba\u7684\u7403\u9762\u955c\u90fd\u662f\u51f9\u9762\u955c\u7684\u4f8b\u5b50\u3002\u8fd9\u4e9b\u955c\u5b50\u5177\u6709\u66f2\u7387\u9762\u671d\u5411\u5165\u5c04\u5149\u7ebf\u7684\u4e00\u4fa7\u3002\u5982\u679c\u66f2\u7387\u9762\u671d\u5411\u76f8\u53cd\u65b9\u5411\uff0c\u5219\u79f0\u4e3a\u51f8\u9762\u955c\u3002\u5f53\u5206\u6790\u8fd9\u79cd\u955c\u5b50\u4e2d\u7684\u6210\u50cf\u65f6\uff0c\u9996\u5148\u6ce8\u610f\u5230\u53cd\u5c04\u5149\u7ebf\u4e0d\u662f\u4f1a\u805a\u5728\u4e00\u4e2a\u70b9\uff0c\u800c\u662f\u53d1\u6563\u5f00\u6765\uff1b\u56e0\u6b64\uff0c\u4e3a\u627e\u5230\u50cf\u7684\u4f4d\u7f6e\uff0c\u9700\u8981\u6295\u5f71\u53cd\u5c04\u5149\u7ebf\uff0c\u4ece\u800c\u5f97\u5230\u865a\u50cf\u3002<\/p>\n<p><center><img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-cfrp8zRyqOk\/YRinI5L1BkI\/AAAAAAAAFa4\/Uj1etPhThK8_Zr1N3vU7Sw2ua0U3svpgwCLcBGAsYHQ\/s0\/reflejo%2Ben%2Bespejo%2Bconvexo.PNG\" width=\"869\" height=\"503\" alt=\"\u51f8\u9762\u955c\u4e2d\u7684\u865a\u50cf\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-cfrp8zRyqOk\/YRinI5L1BkI\/AAAAAAAAFa4\/Uj1etPhThK8_Zr1N3vU7Sw2ua0U3svpgwCLcBGAsYHQ\/s0\/reflejo%2Ben%2Bespejo%2Bconvexo.PNG\" width=\"869\" height=\"503\" alt=\"\u51f8\u9762\u955c\u4e2d\u7684\u865a\u50cf\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u5728\u8fd9\u4e00\u70b9\u4e0a\uff0c\u6211\u4eec\u5fc5\u987b\u6ce8\u610f\u4ee5\u4e0b\u672f\u8bed\uff1a<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li><strong>\u771f\u5b9e\u50cf\uff1a<\/strong> \u5f53\u50cf\u7531\u53cd\u5c04\u5149\u7ebf\u5f62\u6210\u65f6\uff0c\u5b83\u4f4d\u4e8e\u955c\u5b50\u524d\u9762\u3002<\/li>\n<li><strong>\u865a\u50cf\uff1a<\/strong> \u5f53\u50cf\u7531\u6295\u5f71\u5149\u7ebf\u5f62\u6210\u65f6\uff0c\u5b83\u201c\u4f4d\u4e8e\u955c\u5b50\u540e\u9762\u201d\u3002<\/li>\n<\/ul>\n<p><a name=\"12\"><\/a><\/p>\n<h3>\u653e\u5927\u7cfb\u6570\u53ca\u5176\u89e3\u91ca<\/h3>\n<p style=\"text-align: justify; color: #000000;\"><a href=\"https:\/\/www.youtube.com\/watch?v=Ze0lpO0gDys&amp;t=2393s\" target=\"_blank\" rel=\"noopener\"><strong><span style=\"color: #ff0000;\">\u5982\u524d\u6240\u8ff0<\/span><\/strong><\/a>\uff0c\u5f53\u5728\u7403\u9762\u955c\uff08\u51f9\u9762\u6216\u51f8\u9762\uff09\u4e2d\u53cd\u5c04\u65f6\uff0c\u56fe\u50cf\u7684\u5927\u5c0f\u6216\u65b9\u5411\u53ef\u80fd\u4f1a\u76f8\u5bf9\u4e8e\u539f\u59cb\u7269\u4f53\u53d1\u751f\u53d8\u5316\u3002\u90a3\u4e48\uff0c\u662f\u5426\u5b58\u5728\u4e00\u79cd\u65b9\u6cd5\u53ef\u4ee5\u5bf9\u8fd9\u79cd\u653e\u5927\u6216\u7f29\u5c0f\u4ee5\u53ca\u56fe\u50cf\u65b9\u5411\u7684\u53d8\u5316\u8fdb\u884c\u5efa\u6a21\uff1f\u7b54\u6848\u662f\u80af\u5b9a\u7684\uff0c\u8fd9\u53ef\u4ee5\u901a\u8fc7\u5728\u4efb\u4f55\u6211\u4eec\u5df2\u7ecf\u8ba8\u8bba\u8fc7\u7684\u56fe\u50cf\u4e2d\u5229\u7528\u76f8\u4f3c\u4e09\u89d2\u5f62\u7684\u5173\u7cfb\u6765\u63a8\u5bfc\u3002\u4ee5\u4e0b\u5c06\u5c55\u793a\u51f9\u9762\u955c\u7684\u5206\u6790\uff0c\u5bf9\u4e8e\u51f8\u9762\u955c\uff0c\u63a8\u7406\u7c7b\u4f3c\u3002\u8bf7\u8bb0\u4f4f\uff0c\u6211\u4eec\u5728\u5f00\u59cb\u65f6\u8ba8\u8bba\u7684<strong>\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219<\/strong>\u3002<\/p>\n<p><center><br \/>\n<img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-src=\"https:\/\/1.bp.blogspot.com\/-cRVOSOADzXI\/YRix4uOudBI\/AAAAAAAAFbA\/vgqeiZEXhGATgnNu3f2zSvL-H8Rp8VVRACLcBGAsYHQ\/s0\/determinaci%25C3%25B3n%2Bdel%2Bcoeficiente%2Bde%2Bmagnificacion.PNG\" width=\"716\" height=\"488\" alt=\"\u5165\u5c04\u5149\u7ebf\u548c\u53cd\u5c04\u5149\u7ebf\u95f4\u76f8\u4f3c\u4e09\u89d2\u5f62\" class=\"alignnone size-full lazyload\" \/><noscript><img decoding=\"async\" src=\"https:\/\/1.bp.blogspot.com\/-cRVOSOADzXI\/YRix4uOudBI\/AAAAAAAAFbA\/vgqeiZEXhGATgnNu3f2zSvL-H8Rp8VVRACLcBGAsYHQ\/s0\/determinaci%25C3%25B3n%2Bdel%2Bcoeficiente%2Bde%2Bmagnificacion.PNG\" width=\"716\" height=\"488\" alt=\"\u5165\u5c04\u5149\u7ebf\u548c\u53cd\u5c04\u5149\u7ebf\u95f4\u76f8\u4f3c\u4e09\u89d2\u5f62\" class=\"alignnone size-full lazyload\" \/><\/noscript><\/center><\/p>\n<p style=\"text-align: justify; color: #000000;\">\u7531\u4e8e\u84dd\u8272\u548c\u7eff\u8272\u4e09\u89d2\u5f62\u76f8\u4f3c\uff0c\u653e\u5927\u7cfb\u6570 <span class=\"katex-eq\" data-katex-display=\"false\">m=y^\\prime\/y<\/span>\uff0c\u8868\u793a\u76f8\u5bf9\u4e8e\u539f\u59cb\u7269\u4f53\u653e\u5927\u7684\u56fe\u50cf\u5927\u5c0f\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u5173\u7cfb\u8ba1\u7b97\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\frac{y}{s} = \\frac{-y^\\prime}{s^\\prime}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u7531\u4e8e\u56fe\u50cf\u662f\u5012\u7acb\u7684\uff0c\u56e0\u6b64 <span class=\"katex-eq\" data-katex-display=\"false\">y^\\prime<\/span> \u5e26\u6709\u8d1f\u53f7\uff0c\u5e76\u4e14\u6839\u636e\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219\uff0c <span class=\"katex-eq\" data-katex-display=\"false\">s<\/span> \u548c <span class=\"katex-eq\" data-katex-display=\"false\">s^\\prime<\/span> \u90fd\u4e3a\u6b63\u6570\u3002\u56e0\u6b64\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\color{blue}{m=\\frac{y^\\prime}{y} = - \\frac{s^\\prime}{s}}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u4e5f\u5c31\u662f\u8bf4\uff0c\u77e5\u9053\u7269\u4f53\u548c\u56fe\u50cf\u7684\u4f4d\u7f6e\uff0c\u53ef\u4ee5\u8ba1\u7b97\u955c\u5b50\u7684\u653e\u5927\u7cfb\u6570\u3002<\/p>\n<p style=\"text-align: justify; color: #000000;\">\u8be5\u516c\u5f0f\u53ef\u4ee5\u4e0e\u7b1b\u5361\u5c14\u516c\u5f0f\u7ed3\u5408\uff0c\u5229\u7528\u7126\u8ddd\u548c\u7269\u4f53\u4f4d\u7f6e\u8ba1\u7b97\u653e\u5927\u7cfb\u6570\u3002\u53ea\u9700\u8bb0\u4f4f\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle s^\\prime=\\frac{sf}{s-f}.<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p style=\"text-align: justify; color: #000000;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\displaystyle \\color{blue}{m= - \\frac{1}{s}\\frac{sf}{s-f} = \\frac{f}{f-s}}<\/span>\n<p style=\"text-align: justify; color: #000000;\">\u56e0\u6b64\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<ul style=\"text-align: justify; color: #000000;\">\n<li>\u5982\u679c <span class=\"katex-eq\" data-katex-display=\"false\">|m|\\lt 1<\/span>\uff0c\u56fe\u50cf\u7f29\u5c0f\uff1b\u5f53 <span class=\"katex-eq\" data-katex-display=\"false\">|m|\\gt 1<\/span> \u65f6\uff0c\u56fe\u50cf\u653e\u5927\uff1b\u5f53 <span class=\"katex-eq\" data-katex-display=\"false\">|m|=1<\/span> \u65f6\uff0c\u56fe\u50cf\u4fdd\u6301\u539f\u5927\u5c0f\u3002<\/li>\n<li>\u5982\u679c <span class=\"katex-eq\" data-katex-display=\"false\">m\\gt 0<\/span>\uff0c\u56fe\u50cf\u4fdd\u6301\u539f\u7269\u4f53\u7684\u65b9\u5411\uff1b\u5f53 <span class=\"katex-eq\" data-katex-display=\"false\">m\\lt 0<\/span> \u65f6\uff0c\u56fe\u50cf\u76f8\u5bf9\u4e8e\u539f\u7269\u4f53\u5012\u7f6e\u3002<\/li>\n<li>\u5f53 <span class=\"katex-eq\" data-katex-display=\"false\">m=0<\/span> \u65f6\uff0c\u56fe\u50cf\u7f29\u5c0f\u4e3a\u4e00\u70b9\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04 \u6458\u8981\uff1a \u672c\u8bfe\u7a0b\u5c06\u56de\u987e\u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u539f\u7406\uff0c\u91cd\u70b9\u4ecb\u7ecd\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04\u3002\u5b9a\u4e49\u4e86\u5173\u952e\u672f\u8bed\u5982\u5149\u7ebf\u3001\u70b9\u7269\u4f53\u548c\u70b9\u50cf\u3002\u6b64\u5916\uff0c\u8fd8\u8ba8\u8bba\u4e86\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219\u4ee5\u53ca\u7b1b\u5361\u5c14\u516c\u5f0f\u7528\u4e8e\u8ba1\u7b97\u50cf\u7684\u4f4d\u7f6e\u3002\u8bfe\u7a0b\u8fd8\u63a2\u8ba8\u4e86\u51f9\u9762\u955c\u548c\u51f8\u9762\u955c\u7684\u7279\u6027\uff0c\u4ee5\u53ca\u5b83\u4eec\u5bf9\u771f\u5b9e\u548c\u865a\u62df\u56fe\u50cf\u5f62\u6210\u7684\u5f71\u54cd\u3002\u6700\u540e\uff0c\u4ecb\u7ecd\u4e86\u653e\u5927\u7cfb\u6570\uff0c\u4ee5\u63cf\u8ff0\u76f8\u5bf9\u4e8e\u539f\u59cb\u7269\u4f53\u7684\u56fe\u50cf\u5c3a\u5bf8\u548c\u65b9\u5411\u7684\u53d8\u5316\u3002 \u5b66\u4e60\u76ee\u6807 \u8bfe\u7a0b\u7ed3\u675f\u540e\uff0c\u5b66\u751f\u5c06\u80fd\u591f\uff1a \u7406\u89e3\u51e0\u4f55\u5149\u5b66\u4f5c\u4e3a\u7535\u78c1\u5149\u5b66\u7684\u7b80\u5316\uff0c\u901a\u8fc7\u4f7f\u7528\u51e0\u4f55\u5b66\u548c\u8ba1\u7b97\u6765\u7406\u89e3\u6210\u50cf\u7684\u5f62\u6210\u3002 \u4e86\u89e3\u53cd\u5c04\u548c\u6298\u5c04\u7684\u89c4\u5f8b\u53ca\u5176\u5728\u955c\u5b50\u548c\u900f\u955c\u6210\u50cf\u4e2d\u7684\u5e94\u7528\u3002 \u7406\u89e3\u548c\u533a\u5206\u5173\u952e\u6982\u5ff5\uff0c\u5982\u5149\u7ebf\u3001\u6295\u5f71\u5149\u7ebf\u3001\u70b9\u7269\u4f53\u548c\u70b9\u50cf\u3002 \u5e94\u7528\u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219\u6765\u786e\u5b9a\u7269\u4f53\u548c\u50cf\u7684\u4f4d\u7f6e\u3002 \u5206\u6790\u5e73\u9762\u955c\u4e2d\u7684\u6210\u50cf\u8fc7\u7a0b\uff0c\u5f3a\u8c03\u56fe\u50cf\u7684\u5bf9\u79f0\u6027\u548c\u865a\u62df\u6027\u8d28\u3002 \u5185\u5bb9\u76ee\u5f55 \u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u6982\u5ff5 \u5b9a\u4e49 \u955c\u5b50\u7684\u7b26\u53f7\u89c4\u5219 \u5e73\u9762\u955c\u548c\u955c\u50cf\u53cd\u5c04 \u70b9\u7269\u4f53\u5728\u5e73\u9762\u955c\u524d \u6269\u5c55\u7269\u4f53\u5728\u5e73\u9762\u955c\u524d \u7403\u9762\u955c\u7684\u53cd\u5c04 \u7269\u4f53\u4f4d\u7f6e\u4e0e\u7403\u9762\u955c\u4e2d\u50cf\u7684\u5173\u7cfb \u6781\u9650\u60c5\u51b5\uff0c\u5f53 \u6269\u5c55\u7269\u4f53\u5728\u7403\u9762\u955c\u4e2d\u7684\u53cd\u5c04 \u51f9\u9762\u955c\u548c\u51f8\u9762\u955c \u653e\u5927\u7cfb\u6570\u53ca\u5176\u89e3\u91ca \u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u6982\u5ff5 \u51e0\u4f55\u5149\u5b66\u662f \u7535\u78c1\u5149\u5b66\u7684\u4e00\u79cd\u7b80\u5316\uff0c\u4f7f\u6211\u4eec\u80fd\u591f\u8f7b\u677e\u7406\u89e3\u56fe\u50cf\u7684\u5f62\u6210\u53ca\u5176\u7279\u6027\u3002\u901a\u8fc7\u51e0\u4f55\u5b66\u548c\u8ba1\u7b97\uff0c\u6211\u4eec\u53ef\u4ee5\u63a8\u65ad\u51fa\u53cd\u5c04\u548c\u6298\u5c04\u7684\u89c4\u5f8b\uff0c\u4ece\u800c\u7406\u89e3\u955c\u5b50\u548c\u900f\u955c\u7684\u6210\u50cf\u8fc7\u7a0b\u3002 \u5728\u672c\u8bfe\u4e2d\uff0c\u6211\u4eec\u5c06\u5b66\u4e60\u51e0\u4f55\u5149\u5b66\u7684\u57fa\u672c\u6982\u5ff5\uff0c\u4ee5\u53ca\u5e73\u9762\u955c\u548c\u7403\u9762\u955c\u7684\u53cd\u5c04\u3002 \u4e3a\u4e86\u5f00\u59cb\u8ba8\u8bba\u8fd9\u4e9b\u6982\u5ff5\u5e76\u8fdb\u884c\u63a8\u65ad\uff0c\u6211\u4eec\u5c06\u5b9a\u4e49\u4e00\u4e9b\u5173\u952e\u6982\u5ff5\uff1a \u5b9a\u4e49 \u5149\u7ebf \u8868\u793a\u5149\u4f20\u64ad\u8def\u5f84\u7684\u5047\u60f3\u7ebf\u3002\u5982\u679c\u5149\u6e90\u662f\u4e00\u4e2a\u70b9\u7269\u4f53\uff0c\u5219\u5149\u4ece\u5b83\u53d1\u51fa\u5f62\u6210\u7403\u9762\u7535\u78c1\u6ce2\uff1b\u5149\u7ebf\u56e0\u6b64\u8868\u793a\u80fd\u91cf\u6d41\u7684\u65b9\u5411\uff0c\u6216\u8005\u66f4\u51c6\u786e\u5730\u8bf4\uff0c\u8868\u793a\u5761\u5370\u5ef7\u77e2\u91cf\u7684\u65b9\u5411\u3002 \u6295\u5f71\u5149\u7ebf \u8868\u793a\u5149\u7ebf\u5ef6\u957f\u7ebf\u7684\u5047\u60f3\u7ebf\u3002 \u70b9\u7269\u4f53\u6216\u70b9\u5149\u6e90 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