{"id":954,"date":"2022-01-18T11:51:55","date_gmt":"2022-01-18T03:51:55","guid":{"rendered":"http:\/\/www.wayln.com\/?p=954"},"modified":"2022-01-18T16:43:42","modified_gmt":"2022-01-18T08:43:42","slug":"%e6%95%b0%e5%ad%97%e5%9b%be%e5%83%8f%e5%a4%84%e7%90%86","status":"publish","type":"post","link":"https:\/\/www.wayln.com\/?p=954","title":{"rendered":"\u6570\u5b57\u56fe\u50cf\u5904\u7406"},"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> \u7b2c\u4e00\u7ae0 \u7eea\u8bba<\/a><\/li><li><a href=\"#i-2\"><span class=\"toc_number toc_depth_1\">2<\/span> \u7b2c\u4e8c\u7ae0 \u6570\u5b57\u56fe\u50cf\u57fa\u7840<\/a><ul><li><ul><li><a href=\"#212\"><span class=\"toc_number toc_depth_3\">2.0.1<\/span> 2.1.2 \u773c\u775b\u4e2d\u56fe\u50cf\u7684\u5f62\u6210<\/a><\/li><li><a href=\"#213\"><span class=\"toc_number toc_depth_3\">2.0.2<\/span> 2.1.3 \u4eae\u5ea6\u9002\u5e94\u548c\u8fa8\u522b<\/a><\/li><\/ul><\/li><li><a href=\"#22\"><span class=\"toc_number toc_depth_2\">2.1<\/span> 2.2 \u5149\u548c\u7535\u78c1\u6ce2\u8c31<\/a><ul><li><a href=\"#234\"><span class=\"toc_number toc_depth_3\">2.1.1<\/span> 2.3.4 \u7b80\u5355\u7684\u56fe\u50cf\u5f62\u6210\u6a21\u578b<\/a><\/li><\/ul><\/li><li><a href=\"#24\"><span class=\"toc_number toc_depth_2\">2.2<\/span> 2.4 \u56fe\u50cf\u53d6\u6837\u548c\u91cf\u5316<\/a><ul><li><a href=\"#243\"><span class=\"toc_number toc_depth_3\">2.2.1<\/span> 2.4.3 \u7a7a\u95f4\u548c\u7070\u5ea6\u5206\u8fa8\u7387<\/a><\/li><li><a href=\"#244\"><span class=\"toc_number toc_depth_3\">2.2.2<\/span> 2.4.4 \u56fe\u50cf\u5185\u63d2<\/a><\/li><\/ul><\/li><li><a href=\"#25\"><span class=\"toc_number toc_depth_2\">2.3<\/span> 2.5 \u50cf\u7d20\u95f4\u7684\u4e00\u4e9b\u57fa\u672c\u5173\u7cfb<\/a><ul><li><a href=\"#251\"><span class=\"toc_number toc_depth_3\">2.3.1<\/span> 2.5.1 \u76f8\u90bb\u50cf\u7d20<\/a><\/li><li><a href=\"#252\"><span class=\"toc_number toc_depth_3\">2.3.2<\/span> 2.5.2 \u90bb\u63a5\u6027\u3001\u8fde\u901a\u6027\u3001\u533a\u57df\u548c\u8fb9\u754c<\/a><\/li><li><a href=\"#253\"><span class=\"toc_number toc_depth_3\">2.3.3<\/span> 2.5.3 \u8ddd\u79bb\u5ea6\u91cf<\/a><\/li><li><a href=\"#262\"><span class=\"toc_number toc_depth_3\">2.3.4<\/span> 2.6.2 \u7ebf\u6027\u64cd\u4f5c\u4e0e\u975e\u7ebf\u6027\u64cd\u4f5c<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/div>\n<h1><span id=\"i\">\u7b2c\u4e00\u7ae0 \u7eea\u8bba<\/span><\/h1>\n<h1><span id=\"i-2\">\u7b2c\u4e8c\u7ae0 \u6570\u5b57\u56fe\u50cf\u57fa\u7840<\/span><\/h1>\n<h3><span id=\"212\">2.1.2 \u773c\u775b\u4e2d\u56fe\u50cf\u7684\u5f62\u6210<\/span><\/h3>\n<p>\u6676\u72b6\u4f53\u4e2d\u5fc3\u548c\u89c6\u7f51\u819c\u6cbf\u89c6\u8f74\u7684\u8ddd\u79bb\u5927\u7ea6\u662f17mm\uff0c\u7126\u8ddd\u7ea6\u4e3a14-17mm<\/p>\n<h3><span id=\"213\">2.1.3 \u4eae\u5ea6\u9002\u5e94\u548c\u8fa8\u522b<\/span><\/h3>\n<p>\u4eba\u7684\u89c6\u89c9\u7cfb\u7edf\u80fd\u591f\u9002\u5e94\u5149\u5f3a\u5ea6\u7ea7\u522b\u8303\u56f4\u662f\u5f88\u5bbd\u7684\u2014\u2014\u4ece\u6697\u9608\u503c\u5230\u5f3a\u95ea\u5149\u8d8a\u6709<span class=\"katex math inline\">10^{10}<\/span>\u4e2a\u91cf\u7ea7<br \/>\n<strong>\u4e3b\u89c2\u4eae\u5ea6<\/strong>\u662f\u8fdb\u5165\u4eba\u773c\u7684\u5149\u5f3a\u7684\u5bf9\u6570\u51fd\u6570\uff0c\u5728\u4eae\u89c6\u89c9\u4e2d\uff0c\u5149\u5f3a\u8303\u56f4\u5927\u7ea6\u662f<span class=\"katex math inline\">10^6<\/span>\u7684\u3002\u6697\u89c6\u89c9      0.01-0.1ml\uff08\u6717\u4f2f\uff09\uff08\u5728\u5bf9\u6570\u5750\u6807\u4e2d\u4e3a-3~-1ml\uff09\u3002<\/p>\n<p><span class=\"katex math inline\">\\Delta I_c\/I<\/span>\u79f0\u4e3a\u97e6\u4f2f\u6bd4\uff0c\u5176\u4e2d <span class=\"katex math inline\">\\Delta I<\/span>\u662f\u5728\u5317\u4eac\u7167\u660e\u4e3aI\u65f6\u53ef\u8fa8\u522b\u7167\u660e\u589e\u91cf\u768450% \uff0c\u97e6\u4f2f\u6bd4\u8f83\u5c0f\u610f\u5473\u7740\u53ef\u8fa8\u522b\u5f3a\u5ea6\u8f83\u5c0f\u7684\u767e\u5206\u6bd4\u53d8\u5316\uff0c\u8868\u793a\u4eae\u5ea6\u8fa8\u522b\u80fd\u529b\u8f83\u597d\u3002<\/p>\n<p><strong>\u9a6c\u8d6b\u5e26\u6548\u5e94\uff1a<\/strong>\u89c6\u89c9\u7cfb\u7edf\u5f80\u5f80\u4f1a\u5728\u4e0d\u540c\u5f3a\u5ea6\u533a\u57df\u8fb9\u754c\u51fa\u73b0\u201c\u4e0b\u51b2\u201d\u6216\u201c\u4e0a\u51b2\u201d\u73b0\u8c61\uff0c\u867d\u7136\u6761\u5e26\u7684\u5f3a\u5ea6\u6052\u5b9a\uff0c\u4f46\u5728\u9760\u8fd1\u8fb9\u754c\u5904\u6211\u4eec\u5b9e\u9645\u4e0a\u611f\u77e5\u5230\u4e86\u5e26\u6709\u6bdb\u8fb9\u7684\u4eae\u5ea6\u6a21\u5f0f<br \/>\n<strong>\u540c\u65f6\u5bf9\u6bd4\u73b0\u8c61\uff1a<\/strong>\u611f\u77e5\u533a\u57df\u4eae\u5ea6\u5e76\u4e0d\u7b80\u5355\u53d6\u51b3\u4e8e\u5f3a\u5ea6\u3002\u540c\u6837\u7684\u5f3a\u5ea6\u7684\u4e2d\u5fc3\u65b9\u5757\uff0c\u968f\u7740\u80cc\u666f\u53d8\u5f97\u66f4\u4eae\uff0c\u4ed6\u4eec\u5728\u773c\u775b\u91cc\u4f1a\u53d8\u5f97\u66f4\u6697\u3002<br \/>\n<strong>\u9519\u89c9\uff1a<\/strong>\u773c\u775b\u586b\u5145\u4e86\u4e0d\u5b58\u5728\u7684\u4fe1\u606f\u6216\u8005\u9519\u8bef\u5730\u611f\u77e5\u4e86\u7269\u4f53\u7684\u51e0\u4f55\u7279\u70b9\u3002\u9519\u89c9\u662f\u4eba\u7c7b\u89c6\u89c9\u7cfb\u7edf\u7684\u4e00\u79cd\u7279\u6027\uff0c\u4f46\u8fd9\u4e00\u7279\u6027\u5c1a\u672a\u88ab\u4eba\u7c7b\u5b8c\u5168\u4e86\u89e3\u3002<\/p>\n<h2><span id=\"22\">2.2 \u5149\u548c\u7535\u78c1\u6ce2\u8c31<\/span><\/h2>\n<p><span class=\"katex math inline\">\\lambda=c\/v<\/span> ,\u5176\u4e2d\uff0cC\u662f\u5149\u901f\uff08<span class=\"katex math inline\">2.998&#215;10^8 m\/s<\/span>\uff09<br \/>\n\u7535\u78c1\u6ce2\u7684\u5404\u4e2a\u5206\u91cf\u7684\u80fd\u91cf\uff1a<span class=\"katex math inline\">E=hv<\/span>,\u5176\u4e2dh\u662f\u666e\u6717\u514b\u5e38\u6570\uff0c\u6ce2\u957f\u7684\u5355\u4f4d\u662f\u7c73\uff0c\u6700\u5e38\u7528\u7684\u662f\u5fae\u7c73\u548c\u7eb3\u7c73\u3002\u9891\u7387\u7528\u8d6b\u5179\u8868\u793a\uff0c1hz\u8868\u793a\u6b63\u5f26\u6ce2\u6bcf\u79d2\u4e00\u4e2a\u5468\u671f\u3002\u5e38\u7528\u80fd\u91cf\u5355\u4f4d\u662f\u7535\u5b50\u4f0f\u7279\u3002<\/p>\n<p><strong>\u5355\u8272\u5149\u6216\u65e0\u8272\u5149<\/strong>\u6ca1\u6709\u989c\u8272\u7684\u5149\uff0c\u552f\u4e00\u5c5e\u6027\u662f\u5b83\u7684\u5f3a\u5ea6\u6216\u5927\u5c0f\u3002\u56e0\u4e3a\u611f\u77e5\u5355\u8272\u5149\u7684\u5f3a\u5ea6\u4ece\u9ed1\u8272\u5230\u7070\u8272\uff0c\u6700\u540e\u5230\u767d\u8272\uff0c\u7070\u5ea6\u7ea7\u901a\u5e38\u7528\u6765\u8868\u793a\u5355\u8272\u5149\u7684\u5f3a\u5ea6<\/p>\n<p>\u6709\u4e09\u4e2a\u57fa\u672c\u91cf\u6765\u63cf\u8ff0\u5f69\u8272\u5149\u6e90\u7684\u8d28\u91cf\uff1a<strong>\u53d1\u5149\u5f3a\u5ea6\u3001\u5149\u901a\u91cf\u3001\u4eae\u5ea6<\/strong>\u3002<br \/>\n<strong>\u53d1\u5149\u5f3a\u5ea6<\/strong>\u662f\u5149\u6e90\u6d41\u51fa\u80fd\u91cf\u7684\u603b\u91cf\uff0c\u901a\u5e38\u7528\u74e6\u7279\uff08W\uff09\u6765\u5ea6\u91cf\u3002<br \/>\n<strong>\u5149\u901a\u91cf<\/strong>\u7ed9\u51fa\u89c2\u5bdf\u8005\u4ece\u5149\u6e90\u611f\u53d7\u5230\u7684\u80fd\u91cf\uff0c\u7528\u6d41\u660e\u6570\uff08lm\uff09\u5ea6\u91cf\u3002\u4f8b\u5982\u4ece\u8fdc\u7ea2\u5916\u5149\u8c31\u8303\u56f4\u7684\u5149\u6e90\u53d1\u5c04\u51fa\u7684\u5149\u5177\u6709\u5b9e\u9645\u7684\u80fd\u91cf\uff0c\u4f46\u89c2\u5bdf\u8005\u5f88\u96be\u611f\u77e5\u5230\u5b83\uff0c\u4ed6\u7684\u5149\u901a\u91cf\u51e0\u4e4e\u662f\u96f6\u3002<br \/>\n<strong>\u4eae\u5ea6<\/strong>\u662f\u5149\u611f\u77e5\u7684\u4e3b\u89c2\u63cf\u7ed8\u5b50\uff0c\u4ed6\u5b9e\u9645\u4e0a\u4e0d\u80fd\u5ea6\u91cf\uff0c\u4ed6\u5177\u4f53\u4f53\u73b0\u4e86\u5f3a\u5ea6\u7684\u65e0\u8272\u6982\u5ff5\uff0c\u662f\u63cf\u8ff0\u5f69\u8272\u611f\u89c9\u5f97\u53c2\u6570\u4e4b\u4e00\u3002<\/p>\n<p>\u8981\u6c42\u201c\u770b\u5230\u201d\u4e00\u4e2a\u7269\u4f53\u7684\u7535\u78c1\u6ce2\u7684\u6ce2\u957f\u5fc5\u987b\u5c0f\u4e8e\u7b49\u4e8e\u7269\u4f53\u7684\u5c3a\u5bf8\u3002\u4f8b\u5982\uff0c\u6c34\u5206\u5b50\u76f4\u5f84\u662f<span class=\"katex math inline\">10^{-10}<\/span>m,\u82e5\u8981\u7814\u7a76\u8be5\u5206\u5b50\uff0c\u5219\u9700\u8981\u4e00\u4e2a\u80fd\u5728\u8fdc\u7d2b\u5916\u8f6fX\u5c04\u7ebf\u8303\u56f4\u53d1\u5c04\u7684\u5149\u6e90\u3002\u8fd9\u4e2a\u9650\u5236\u4e0e\u4f20\u611f\u5668\u7684\u7269\u7406\u7279\u6027\u4e00\u8d77\u786e\u7acb\u4e86\u6210\u50cf\u4f20\u611f\u5668\u529f\u80fd\u7684\u57fa\u672c\u95f2\u7f6e\u3002<\/p>\n<h3><span id=\"234\">2.3.4 \u7b80\u5355\u7684\u56fe\u50cf\u5f62\u6210\u6a21\u578b<\/span><\/h3>\n<p>\u7528\u5f62\u5982<span class=\"katex math inline\">f(x,y)<\/span>\u7684\u4e8c\u7ef4\u51fd\u6570\u6765\u8868\u793a\u56fe\u50cf\uff0c\u5728\u7a7a\u95f4\u5750\u6807<span class=\"katex math inline\">(x,y)<\/span>\u5904\uff0cf\u7684\u503c\u6216\u5e45\u5ea6\u662f\u4e00\u4e2a\u6b63\u7684\u6807\u91cf\uff0c\u5176\u7269\u7406\u610f\u4e49\u6709\u56fe\u50cf\u6e90\u51b3\u5b9a\u3002<br \/>\n\u51fd\u6570<span class=\"katex math inline\">f(x,y)<\/span>\u53ef\u7531\u4e24\u4e2a\u5206\u91cf\u6765\u8868\u5f81\uff1a(1)\u5165\u5c04\u5230\u88ab\u89c2\u5bdf\u573a\u666f\u7684\u5149\u6e90\u7167\u5c04\u603b\u91cf\uff1b\uff082\uff09\u573a\u666f\u4e2d\u7269\u4f53\u6240\u53cd\u5c04\u7684\u5149\u7167\u603b\u91cf\uff0c\u8fd9\u4e24\u4e2a\u5206\u91cf\u5206\u522b\u6210\u4e3a<strong>\u5165\u5c04\u5206\u91cf\u548c\u53cd\u5c04\u5206\u91cf<\/strong>\uff0c\u5206\u522b\u8868\u793a\u4e3a<span class=\"katex math inline\">i(x,y)\u548cr(x,y)<\/span>\u3002<\/p>\n<div class=\"katex math multi-line no-emojify\">f(x,y)=i(x,y)r(x,y)\n<\/div>\n<p>\u5176\u4e2d <span class=\"katex math inline\">0&lt;i(x,y)&lt;\\infty<\/span><br \/>\n\u548c<span class=\"katex math inline\">0&lt;r(x,y)&lt;1<\/span><br \/>\n\u4ee4\u5355\u8272\u56fe\u8c61\u5728\u4efb\u4f55\u5750\u6807<span class=\"katex math inline\">(x_0,y_0)<\/span>\u5904\u7684\u5f3a\u5ea6\uff08\u7070\u5ea6\uff09\u8868\u793a\u4e3a<\/p>\n<div class=\"katex math multi-line no-emojify\">\\iota =f(x_0,y_0)<\/p>\n<\/div>\n<div class=\"katex math multi-line no-emojify\">L_{min}&lt;&lt;\\iota&lt;&lt; L_{max}\n<\/div>\n<p><span class=\"katex math inline\">L_{min}=i_{min}r_{min}\u548cL_{max}=i_{max}r_{max}<\/span><br \/>\n\u533a\u95f4<span class=\"katex math inline\">[L_{min} ,L_{max}]<\/span>\u79f0\u4e3a\u7070\u5ea6\u7ea7\u6216\u5f3a\u5ea6\u7ea7<\/p>\n<h2><span id=\"24\">2.4 \u56fe\u50cf\u53d6\u6837\u548c\u91cf\u5316<\/span><\/h2>\n<p>\u5bf9\u5750\u6807\u503c\u8fdb\u884c\u6570\u5b57\u5316\u79f0\u4e3a\u53d6\u6837\uff0c\u5bf9\u5e45\u503c\u6570\u5b57\u5316\u79f0\u4e3a\u91cf\u5316\u3002<br \/>\n\u7531\u8863\u670d\u56fe\u50cf\u7684\u5750\u6807\u5f20\u6210\u7684\u5b9e\u5e73\u9762\u90e8\u5206\u79f0\u4e3a<strong>\u7a7a\u95f4\u57df<\/strong>\uff0cx\u548cy\u79f0\u4e3a<strong>\u7a7a\u95f4\u53d8\u91cf\u6216\u7a7a\u95f4\u5750\u6807<\/strong>\u3002<br \/>\n\u7070\u5ea6\u7ea7\u5178\u578b\u7684\u53d6\u4e3a2\u7684\u6574\u6570\u6b21\u5e42\uff0c<span class=\"katex math inline\">L=2^k<\/span>.<br \/>\n\u6709\u65f6\uff0c\u6709\u7070\u5ea6\u8de8\u8d8a\u7684\u503c\u57df\u975e\u6b63\u5f0f\u7684\u79f0\u4e3a\u52a8\u6001\u8303\u56f4\u3002\u6211\u4eec\u5c06\u56fe\u50cf\u7cfb\u7edf\u7684\u52a8\u6001\u8303\u56f4\u5b9a\u4e49\u4e3a\u7cfb\u7edf\u4e2d\u6700\u5927\u53ef\u5ea6\u91cf\u7684\u7070\u5ea6\u4e0e\u6700\u5c0f\u53ef\u68c0\u6d4b\u7070\u5ea6\u4e4b\u6bd4\u3002\u4e0a\u9650\u53d6\u51b3\u4e8e\u9971\u548c\u5ea6\uff0c\u4e0b\u9650\u53d6\u51b3\u4e8e\u566a\u58f0\u3002<br \/>\n<strong>\u5bf9\u6bd4\u5ea6\uff1a<\/strong>\u6211\u4eec\u5b9a\u4e49\u8863\u670d\u56fe\u50cf\u4e2d\u6700\u9ad8\u548c\u6700\u4f4e\u7070\u5ea6\u7ea7\u95f4\u7684\u7070\u5ea6\u5dee\u3002<br \/>\n\u5b58\u50a8\u6570\u5b57\u56fe\u50cf\u6240\u9700\u7684\u6bd4\u7279\u6570b\u4e3a\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">b=M*N*k,\u5f53M=N\u65f6\uff0cb=N^2k\n<\/div>\n<h3><span id=\"243\">2.4.3 \u7a7a\u95f4\u548c\u7070\u5ea6\u5206\u8fa8\u7387<\/span><\/h3>\n<p><strong>\u7a7a\u95f4\u5206\u8fa8\u7387<\/strong>\u53ef\u53c8\u6709\u5f88\u591a\u65b9\u6cd5\u6765\u8bf4\u660e\uff0c\u5176\u4e2d\u6bcf\u5355\u4f4d\u8ddd\u79bb\u7ebf\u5bf9\u6570\u548c\u6bcf\u5355\u4f4d\u8ddd\u79bb\u70b9\u6570\uff08\u50cf\u7d20\u6570\uff09\u662f\u6700\u901a\u7528\u7684\u5ea6\u91cf\u3002\u7ebf\u5bbd\u4e3aW\u4e2a\u5355\u4f4d\uff0c\u7ebf\u5bf9\u7684\u5bbd\u5ea6\u5c31\u662f2W,\u5355\u4f4d\u8ddd\u79bb\u6709<span class=\"katex math inline\">1\/2W<\/span>\u4e2a\u7ebf\u5bf9.<br \/>\n\u4f4e\u5206\u8fa8\u7387\u7684\u56fe\u50cf\u4e0e\u539f\u56fe\u50cf\u76f8\u6bd4\u8981\u5c0f<\/p>\n<blockquote><p>\n  \u5206\u8fa8\u7387\u53ef\u4ee5\u8bf4\u9ad8\u4f4e\u5927\u5c0f\uff0c\u50cf\u7d20\u70b9\u53ea\u6709\u591a\u548c\u5c11\u53ea\u8bf4\uff0c\u6ca1\u6709\u5927\u548c\u5c0f\u7684\u8bf4\u6cd5\u3002\u50cf\u7d20\u70b9\u662f\u6784\u6210\u5206\u8fa8\u7387\u7684\u6700\u57fa\u7840\u7684\u5355\u4f4d\uff0c\u53ea\u80fd\u8bf4\u591a\u548c\u5c11\uff0c\u6ca1\u6709\u5927\u548c\u5c0f\u7684\u8bf4\u6cd5\uff0c\u5206\u8fa8\u7387\u8d8a\u9ad8\uff0c\u50cf\u7d20\u70b9\u8d8a\u591a\u3002\u56fe\u7247\u5f53\u7136\u8d8a\u5927\u4e86\u3002<br \/>\n  \u56e0\u4e3a\u684c\u9762\u56fe\u6807\u7684\u5206\u8fa8\u7387\u5927\u5c0f\u662f\u56fa\u5b9a\u7684\uff0c\u6709\u5e38\u89c1\u7684\u670932<em>32\/64<\/em>64\/144*144\u4e09\u79cd\u3002\u7535\u8111\u5206\u8fa8\u7387\u8d8a\u5927\uff0c\u4e0a\u8fb9\u90a3\u51e0\u4e2a\u5206\u8fa8\u7387\u5f53\u7136\u8d8a\u6e3a\u5c0f\u4e86\u3002\u5c31\u50cf\u4f60\u5750\u98de\u673a\u5f80\u4e0b\u770b\u4e00\u4e0b\uff0c\u4e0b\u8fb9\u7684\u5efa\u7b51\u7269\u5927\u5c0f\u662f\u56fa\u5b9a\u7684\uff0c\u4f60\u7684\u89c6\u91ce\u8303\u56f4\u8d8a\u5927\uff0c\u5efa\u7b51\u7269\u5f53\u7136\u663e\u5f97\u8d8a\u5c0f\u3002\n<\/p><\/blockquote>\n<h3><span id=\"244\">2.4.4 \u56fe\u50cf\u5185\u63d2<\/span><\/h3>\n<p>\u5185\u63d2\u662f\u7528\u4ee5\u53ca\u6570\u636e\u6765\u4f30\u8ba1\u672a\u77e5\u4f4d\u7f6e\u7684\u6570\u503c\u7684\u5904\u7406<br \/>\n<strong>\u6700\u8fd1\u90bb\u5185\u63d2\u6cd5<\/strong>\u5047\u8bbe\u4e00\u5e45\u56fe500X500\u50cf\u7d20\uff0c\u8981\u6269\u5927\u5230750&#215;750,\u5219\u5148\u521b\u5efa\u4e00\u4e2a\u5047\u8c61\u7684750&#215;750\u7f51\u683c\uff0c\u4ed6\u4e0e\u539f\u59cb\u56fe\u50cf\u6709\u76f8\u540c\u7684\u95f4\u9694\uff0c\u7136\u540e\u624b\u672f\u54e6\uff0c\u4f7f\u4ed6\u51c6\u786e\u4e0e\u539f\u56fe\u50cf\u5339\u914d\uff0c\u4e3a\u4e86\u5bf9\u8986\u76d6\u7684\u6bcf\u4e00\u4e2a\u70b9\u8d4b\u4ee5\u7070\u5ea6\u503c\uff0c\u5728\u539f\u56fe\u50cf\u4e2d\u5bfb\u627e\u6700\u63a5\u8fd1\u7684\u50cf\u7d20\uff0c\u5e76\u628a\u8be5\u50cf\u7d20\u7070\u5ea6\u8d4b\u7ed9750&#215;750\u7f51\u683c\u4e2d\u7684\u65b0\u50cf\u7d20\uff0c\u7136\u540e\u6269\u5c55\u5230\u539f\u6765\u89c4\u5b9a\u5927\u5c0f\u3002<br \/>\n<strong>\u53cc\u7ebf\u6027\u5185\u63d2\u6cd5<\/strong>\u8be5\u65b9\u6cd5\u4e2d\uff0c\u6211\u4eec\u75284\u4e2a\u6700\u8fd1\u90bb\u53bb\u4f30\u8ba1\u7ed9\u5b9a\u4f4d\u7f6e\u7684\u7070\u5ea6\u3002\u4ee4<span class=\"katex math inline\">(x,y)<\/span>\u4e3a\u6211\u4e48\u60f3\u8981\u590d\u4ee5\u7070\u5ea6\u503c\u7684\u4f4d\u7f6e\u7684\u5750\u6807,\u5e76\u4ee4<span class=\"katex math inline\">v(x,y)<\/span>\u8868\u793a\u7070\u5ea6\u503c\uff0c\u5bf9\u4e8e\u53cc\u7ebf\u6027\u5185\u63d2\u6765\u8bf4\uff0c\u8d4b\u503c\u7531\u4e0b\u5217\u516c\u5f0f\u5f97\u5230<\/p>\n<div class=\"katex math multi-line no-emojify\">v(x,y)=ax+by+cxy+d\n<\/div>\n<p>\u53cc\u7ebf\u6027\u5185\u63d2\u6cd5\u4e0d\u662f\u7ebf\u6027\u5185\u63d2\u65b9\u6cd5\uff0c\u56e0\u4e3a\u5305\u542bxy\u9879<\/p>\n<p><strong>\u53cc\u4e09\u6b21\u5185\u63d2\u6cd5<\/strong><\/p>\n<div class=\"katex math multi-line no-emojify\">v(x,y)=\\sum_{i=0}^3 \\sum_{i=0}^3a_{ij}x^iy^j\n<\/div>\n<p>\u53cc\u4e09\u6b21\u5185\u63d2\u662f\u5546\u4e1a\u56fe\u50cf\u7f16\u8f91\u7a0b\u5e8f\u7684\u6807\u6ce8\u5185\u63d2\u65b9\u6cd5<\/p>\n<h2><span id=\"25\">2.5 \u50cf\u7d20\u95f4\u7684\u4e00\u4e9b\u57fa\u672c\u5173\u7cfb<\/span><\/h2>\n<h3><span id=\"251\">2.5.1 \u76f8\u90bb\u50cf\u7d20<\/span><\/h3>\n<p>\u4f4d\u4e8e\u5750\u6807<span class=\"katex math inline\">(x,y)<\/span>\u5904\u7684\u50cf\u7d20p\u67094\u4e2a\u6c34\u5e73\u548c\u5782\u76f4\u7684\u76f8\u90bb\u50cf\u7d20\uff0c\u8fd9\u7ec4\u50cf\u7d20\u6210\u4e3ap\u76844\u90bb\u57df,\u7528<span class=\"katex math inline\">N_4(p)<\/span>\u8868\u793a\u3002<br \/>\np\u7684\u5bf9\u89d2\u76f8\u90bb\u50cf\u7d20\u7528<span class=\"katex math inline\">N_d(4)<\/span>,\u8fd9\u4e9b\u70b9\u548c4\u4e2a\u90bb\u70b9\u4e00\u8d77\u6210\u4e3ap\u76848\u90bb\u57df\uff0c\u7528<span class=\"katex math inline\">N_8(p)<\/span><\/p>\n<h3><span id=\"252\">2.5.2 \u90bb\u63a5\u6027\u3001\u8fde\u901a\u6027\u3001\u533a\u57df\u548c\u8fb9\u754c<\/span><\/h3>\n<p>a. 4\u90bb\u63a5\u3002\u5982\u679cq\u5728\u96c6\u5408<span class=\"katex math inline\">N_4(p)<\/span>\u4e2d\uff0c\u5219\u5177\u6709V\u4e2d\u6570\u503c\u7684\u4e24\u4e2a\u50cf\u7d20p\u548cq\u662f4\u90bb\u63a5\u7684\u3002<br \/>\nb. 8\u90bb\u63a5\u3002\u5982\u679cq\u5728\u7ed3\u5a5a<span class=\"katex math inline\">N_8(p)<\/span>\u4e2d\uff0c\u5219\u5177\u6709V\u4e2d\u6570\u503c\u7684\u4e24\u4e2a\u50cf\u7d20p\u548cq\u662f8\u90bb\u63a5\u7684\u3002<br \/>\nc. m\u90bb\u63a5\u3002\u5982\u679c\uff081\uff09q\u5728<span class=\"katex math inline\">N_4(p)<\/span>\u4e2d\uff0c\u6216\uff082\uff09q\u5728<span class=\"katex math inline\">N_D(p)<\/span>\u4e2d\uff0c\u4e14\u96c6\u5408<span class=\"katex math inline\">N_4(p) \\cap N_4(q)<\/span>\u4e2d\u6ca1\u6709\u6765\u81eaV\u4e2d\u6570\u503c\u7684\u50cf\u7d20\uff0c\u5219\u5177\u6709V\u4e2d\u6570\u503c\u7684\u4e24\u4e2a\u50cf\u7d20p\u548cq\u662fm\u90bb\u63a5\u7684\u3002<br \/>\n\u5982\u679cS\u7684\u5168\u90e8\u50cf\u7d20\u4e4b\u95f4\u5b58\u5728\u4e00\u4e2a\u901a\u8def\uff0c\u5219\u53ef\u4ee5\u8bf4\u4e24\u4e2a\u50cf\u7d20p\u548cq\u5728S\u4e2d\u662f\u8fde\u901a\u7684\u3002\u5bf9\u4e8eS\u4e2d\u4efb\u4f55\u50cf\u7d20p,S\u4e2d\u8fde\u901a\u5230\u8be5\u50cf\u7d20\u7684\u50cf\u7d20\u96c6\u79f0\u4e3aS\u7684<strong>\u8fde\u901a\u5206\u91cf<\/strong>\u3002\u5982\u679cS\u4ec5\u6709\u4e00\u4e2a\u8fde\u901a\u5206\u91cf\uff0c\u5219\u96c6\u5408S\u79f0\u4e3a<strong>\u8fde\u901a\u96c6<\/strong><br \/>\n\u4ee4R\u662f\u56fe\u50cf\u4e2d\u7684\u4e00\u4e2a\u50cf\u7d20\u5b50\u96c6\uff0c\u5982\u679cR\u662f\u8fde\u901a\u96c6\uff0c\u5219\u79f0R\u4e3a\u4e00\u4e2a\u533a\u57df\u3002\u4e24\u4e2a\u533a\u57df\uff0c\u5982\u679c\u4ed6\u4eec\u8054\u5408\u5f62\u6210\u4e00\u4e2a\u8fde\u901a\u96c6\uff0c\u5219\u533a\u57df<span class=\"katex math inline\">R_i\u548cR_j<\/span>\u6210\u4e3a\u90bb\u63a5\u533a\u57df\u3002\u4e0d\u90bb\u63a5\u7684\u533a\u57df\u6210\u4e3a\u4e0d\u8fde\u901a\u533a\u57df\u3002<br \/>\n\u5047\u8bbe\u4e00\u5e45\u56fe\u50cf\u5305\u542b\u6709K\u4e2a\u4e0d\u8fde\u63a5\u533a\u57df\uff0c\u5373<span class=\"katex math inline\">R_k,k=1,2,3,&#8230;,K<\/span>,\u4e14\u4ed6\u4eec\u90fd\u4e0d\u63a5\u89e6\u56fe\u50cf\u7684\u8fb9\u754c\u3002\u4ee4<span class=\"katex math inline\">R_u<\/span>\u4ee3\u8868\u6240\u6709K\u4e2a\u533a\u57df\u7684\u5e76\u96c6\uff0c\u5e76\u4e14\u4ee4<span class=\"katex math inline\">(R_u)^c<\/span>\u4ee3\u8868\u5176\u8865\u96c6\u3002\u6211\u4eec\u79f0<span class=\"katex math inline\">R_u<\/span>\u4e2d\u6240\u6709\u70b9\u4e3a\u56fe\u50cf\u7684\u524d\u666f\uff0c\u800c\u79f0<span class=\"katex math inline\">(R_u)^c<\/span>\u4e2d\u7684\u6240\u6709\u70b9\u4e3a\u56fe\u50cf\u7684\u80cc\u666f\u3002<br \/>\n\u533a\u57dfR\u7684\u8fb9\u754c\u4e5f\u6210\u4e3a\u8fb9\u7f18\u6216\u8f6e\u5ed3\uff0c\u662f\u8fd9\u6837\u7684\u96c6\u5408\uff0c\u8fd9\u4e9b\u70b9\u4e0eR\u7684\u8865\u96c6\u4e2d\u7684\u70b9\u4e34\u8fd1\u3002\u4e00\u4e2a\u533a\u57df\u53ca\u5176\u5317\u4eac\u4e2d\u7684\u70b9\u4e4b\u95f4\u7684\u90bb\u63a5\u8981\u6839\u636e8\u8fde\u901a\u6765\u5b9a\u4e49\u3002<br \/>\n\u524d\u8ff0\u5b9a\u4e49\u6709\u65f6\u6210\u4e3a\u533a\u57df\u7684\u5185\u7f16\u8f91\uff0c\u4ee5\u4fbf\u4e0e\u5176\u5916\u8fb9\u754c\u76f8\u533a\u5206\uff0c\u5916\u8fb9\u754c\u5bf9\u5e94\u4e8e\u80cc\u666f\u8fb9\u754c\u3002<\/p>\n<h3><span id=\"253\">2.5.3 \u8ddd\u79bb\u5ea6\u91cf<\/span><\/h3>\n<p>\u5bf9\u4e8e\u5750\u6807\u5206\u522b\u4e3a<span class=\"katex math inline\">(x,y),(s,t)\u548c(v,w)<\/span>\u7684\u50cf\u7d20p,q\u548cz,\u5982\u679c<\/p>\n<div class=\"katex math multi-line no-emojify\">\\begin{align}<br \/>\n&amp; D(p,q) \\geq 0 [D(p,1)=0,\u5f53\u4e14\u4ec5\u5f53p=q] \\\\<br \/>\n&amp; D(p,q) =D(q,p)\u4e14 \\\\<br \/>\n&amp; D(p,z)\\leq D(p,q)+D(q,z) \\\\<br \/>\n\\end{align}\n<\/div>\n<p>\u5219D\u662f\u8ddd\u79bb\u51fd\u6570\u6216\u5ea6\u91cf\uff0cp\u548cq\u7684\u6b27\u51e0\u91cc\u5f97\u8ddd\u79bb\u5b9a\u4e49\u5982\u4e0b\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">D_e(p,q)=[(x-s)^2+(y-t)^2]^{1\/2}\n<\/div>\n<p>\u5bf9\u4e8e\u8ddd\u79bb\u5ea6\u91cf\uff0c\u8ddd\u70b9\uff08x,y\uff09\u7684\u8ddd\u79bb\u5c0f\u4e8e\u6216\u7b49\u4e8e\u67d0\u4e2a\u503cr\u7684\u50cf\u7d20\u662f\u4e2d\u5fc3\u5728<span class=\"katex math inline\">(x,y)<\/span>\u4e14\u534a\u5f84\u4e3ar\u7684\u5706\u5e73\u9762<\/p>\n<p>p\u548cq\u95f4\u7684\u8ddd\u79bb<span class=\"katex math inline\">D_4<\/span>\u53c8\u6210\u4e3a\u57ce\u5e02\u8857\u533a\u8ddd\u79bb\uff0c\u7531\u4e0b\u5f0f\u5b9a\u4e49\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">D_4(p,q)=|x-s|+|y-t|\n<\/div>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8ddd<span class=\"katex math inline\">(x,y)<\/span>\u7684\u8ddd\u79bb<span class=\"katex math inline\">D_4<\/span>\u5c0f\u4e8e\u6216\u7b49\u4e8e\u67d0\u4e2a\u503cr\u7684\u50cf\u7d20\u5f62\u6210\u7684\u4e00\u4e2a\u4e2d\u5fc3\u5728<span class=\"katex math inline\">(x,y)<\/span>\u7684\u83f1\u5f62\u3002<\/p>\n<p>p\u548cq\u95f4\u7684<span class=\"katex math inline\">D_8<\/span>\u8ddd\u79bb\uff08\u53c8\u79f0\u4e3a\u68cb\u76d8\u8ddd\u79bb\uff09\u7531\u4e0b\u5f0f\u5b9a\u4e49\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">D_8(p,q)=max(|x-s|,|y-t|)\n<\/div>\n<p>\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u8ddd<span class=\"katex math inline\">(x,y)<\/span>\u7684<span class=\"katex math inline\">D_8<\/span>\u8ddd\u79bb\u5c0f\u4e8e\u6216\u7b49\u4e8e\u67d0\u4e2a\u503cr\u7684\u50cf\u7d20\u5f62\u6210\u4e2d\u5fc3\u5728<span class=\"katex math inline\">(x,y)<\/span>\u7684\u65b9\u5f62\u3002<br \/>\n\u5982\u679c\u9009\u62e9\u8003\u8651m\u90bb\u63a5\uff0c\u5219\u4e24\u70b9\u95f4<span class=\"katex math inline\">D_m<\/span>\u8ddd\u79bb\u7528\u70b9\u95f4\u7684\u6700\u77ed\u901a\u8def\u5b9a\u4e49\uff0c\u5728\u8fd9\u79cd\u60c5\u51b5\u4e0b\uff0c\u4e24\u4e2a\u50cf\u7d20\u95f4\u7684\u8ddd\u79bb\u5c06\u4f9d\u8d56\u4e8e\u6cbf\u901a\u8def\u7684\u50cf\u7d20\u503c\u53ca\u5176\u90bb\u70b9\u503c\u3002<\/p>\n<h3><span id=\"262\">2.6.2 \u7ebf\u6027\u64cd\u4f5c\u4e0e\u975e\u7ebf\u6027\u64cd\u4f5c<\/span><\/h3>\n<p>\u56fe\u50cf\u5904\u7406\u65b9\u6cd5\u7684\u6700\u91cd\u8981\u5206\u7c7b\u4e4b\u4e00\u662f\u5b83\u662f\u7ebf\u6027\u7684\u8fd8\u662f\u975e\u7ebf\u6027\u7684\u3002\u8003\u8651\u4e00\u822c\u7684\u7b97\u5b50H\uff0c\u8be5\u7b97\u5b50\u5bf9\u4e8e\u7ed9\u5b9a\u7684\u8f93\u5165\u56fe\u50cf<span class=\"katex math inline\">f(x,y)<\/span>\uff0c\u4ea7\u751f\u4e00\u5e45\u8f93\u51fa\u56fe\u50cfg(x,y)\uff1a<\/p>\n<div class=\"katex math multi-line no-emojify\">H[f(x,y)]=g(x,y)\n<\/div>\n<p>\u5982\u679c<\/p>\n<div class=\"katex math multi-line no-emojify\">H[a_if_i(x,y)+a_jf_i(x,y)]=a_iH[f_i(x,y)]+a_jH[f_j(x,y)]=a_ig_i(x,y)+a_jg_j(x,y)\n<\/div>\n<p>\u5219\u79f0H\u662f\u4e00\u4e2a\u7ebf\u6027\u7b97\u5b50\u3002\u8f93\u51fa\u662f\u4e00\u4e2a\u7ebf\u6027\u64cd\u4f5c\uff0c\u56e0\u4e3a\u4e24\u4e2a\u8f93\u5165\u7684\u548c\u4e0e\u5206\u522b\u5bf9\u8f93\u5165\u8fdb\u884c\u64cd\u4f5c\u7136\u540e\u518d\u6c42\u548c\u5f97\u5230\u7684\u7ed3\u679c\u76f8\u540c\u3002<br \/>\n\u9488\u5bf9\u964d\u566a\u7684\u5e26\u566a\u56fe\u50cf\u76f8\u52a0\uff08\u5e73\u5747\uff09<br \/>\n\u589e\u5f3a\u5dee\u522b\u7684\u56fe\u50cf\u76f8\u51cf<br \/>\n\u4f7f\u7528\u56fe\u50cf\u76f8\u4e58\u548c\u76f8\u9664\u6765\u6821\u6b63\u9634\u5f71\uff0c\u56fe\u50cf\u76f8\u4e58\u7684\u53e6\u4e00\u4e2a\u666e\u904d\u5e94\u7528\u662f\u6a21\u677f\u64cd\u4f5c\uff0c\u4e5f\u6210\u4e3a\u611f\u5174\u8da3\u533a\u57df\uff08ROI\uff09\u64cd\u4f5c<\/p>\n<p>\u51e0\u4f55\u53d8\u6362\u6539\u8fdb\u56fe\u50cf\u4e2d\u50cf\u7d20\u95f4\u7684\u7a7a\u95f4\u5173\u7cfb\u3002\u8fd9\u4e9b\u53d8\u6362\u901a\u5e38\u79f0\u4e3a\u6a61\u76ae\u819c\u53d8\u6362\uff0c\u56e0\u4e3a\u4ed6\u4eec\u53ef\u770b\u6210\u662f\u5728\u4e00\u5757\u6a61\u76ae\u819c\u4e0a\u5370\u5237\u4e00\u5e45\u56fe\u50cf\uff0c\u7136\u540e\u6839\u636e\u9884\u5b9a\u7684\u4e00\u7ec4\u89c4\u5219\u62c9\u4f38\u8be5\u8584\u819c\u3002\u5728\u6570\u5b57\u56fe\u50cf\u5904\u7406\u4e2d\uff0c\u51e0\u4f55\u53d8\u6362\u7531\u4e24\u4e2a\u57fa\u672c\u64cd\u4f5c\u7ec4\u6210\uff1a\uff081\uff09\u5750\u6807\u7684\u7a7a\u95f4\u53d8\u6362\uff1b\uff082\uff09\u7070\u5ea6\u5185\u63d2<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Contents1 \u7b2c\u4e00\u7ae0 \u7eea\u8bba2 \u7b2c\u4e8c\u7ae0 \u6570\u5b57\u56fe\u50cf\u57fa\u78402.0.1 2.1.2 \u773c\u775b\u4e2d\u56fe\u50cf\u7684\u5f62\u62102.0.2 2 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[43],"tags":[],"class_list":["post-954","post","type-post","status-publish","format-standard","hentry","category-43"],"_links":{"self":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=954"}],"version-history":[{"count":9,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/954\/revisions"}],"predecessor-version":[{"id":963,"href":"https:\/\/www.wayln.com\/index.php?rest_route=\/wp\/v2\/posts\/954\/revisions\/963"}],"wp:attachment":[{"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=954"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=954"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wayln.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}