{"id":22321,"date":"2020-12-04T22:46:57","date_gmt":"2020-12-04T14:46:57","guid":{"rendered":"https:\/\/swarma.org\/?p=22321"},"modified":"2020-12-04T22:46:57","modified_gmt":"2020-12-04T14:46:57","slug":"%e4%bb%80%e4%b9%88%e6%98%af%e6%9d%8e%e9%9b%85%e6%99%ae%e8%af%ba%e5%a4%ab%e5%87%bd%e6%95%b0-%e9%9b%86%e6%99%ba%e7%99%be%e7%a7%91","status":"publish","type":"post","link":"https:\/\/swarma.org\/?p=22321","title":{"rendered":"\u4ec0\u4e48\u662f\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570 | \u96c6\u667a\u767e\u79d1"},"content":{"rendered":"
\n
\n
\n
\n
\n

<\/p>\n

\u201c\u96c6\u667a\u767e\u79d1\u7cbe\u9009\u201d\u662f\u4e00\u4e2a\u957f\u671f\u4e13\u680f\uff0c\u6301\u7eed\u4e3a\u5927\u5bb6\u63a8\u9001\u590d\u6742\u6027\u79d1\u5b66\u76f8\u5173\u7684\u57fa\u672c\u6982\u5ff5\u548c\u8d44\u6e90\u4fe1\u606f\u3002\u4f5c\u4e3a\u96c6\u667a\u4ff1\u4e50\u90e8\u7684\u5f00\u6e90\u79d1\u5b66\u9879\u76ee\uff0c\u96c6\u667a\u767e\u79d1\u5e0c\u671b\u6253\u9020\u590d\u6742\u6027\u79d1\u5b66\u9886\u57df\u6700\u5168\u9762\u7684\u767e\u79d1\u5168\u4e66\uff0c\u6b22\u8fce\u5bf9\u590d\u6742\u6027\u79d1\u5b66\u611f\u5174\u8da3\u3001\u70ed\u7231\u77e5\u8bc6\u6574\u7406\u548c\u5206\u4eab\u7684\u670b\u53cb\u52a0\u5165\uff01<\/span>
<\/section>\n

<\/section>\n

<\/section>\n

\u672c\u6587\u662f\u5bf9\u96c6\u667a\u767e\u79d1\u4e2d\u201c\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u201d\u8bcd\u6761\u7684\u6458\u5f55\uff0c\u53c2\u8003\u8d44\u6599\u53ca\u76f8\u5173\u8bcd\u6761\u8bf7\u53c2\u9605\u767e\u79d1\u8bcd\u6761\u539f\u6587\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u672c\u8bcd\u6761\u7531\u96c6\u667a\u4ff1\u4e50\u90e8\u4f17\u5305\u751f\u4ea7\uff0c\u96be\u514d\u5b58\u5728\u7eb0\u6f0f\u548c\u95ee\u9898\uff0c\u6b22\u8fce\u5927\u5bb6\u7559\u8a00\u53cd\u9988\u6216\u8005\u524d\u5f80\u5bf9\u5e94\u7684\u767e\u79d1\u8bcd\u6761\u9875\u9762\u8fdb\u884c\u4fee\u6539\uff0c\u4e00\u7ecf\u4fee\u6539\uff0c\u53ef\u4ee5\u83b7\u5f97\u5bf9\u5e94\u7684\u79ef\u5206\u5956\u52b1\u5662\uff01<\/span><\/em><\/span><\/p>\n


<\/span><\/em><\/span><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

\u76ee\u5f55<\/strong><\/span><\/p>\n

\n

\u4e00\u3001<\/strong>\u4ec0\u4e48\u662f\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\uff1f<\/strong><\/p>\n

\u4e8c\u3001\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u7684\u5b9a\u4e49<\/strong><\/p>\n

\u4e09\u3001\u76f8\u5173\u672f\u8bed<\/strong><\/p>\n

\u56db\u3001\u81ea\u6cbb\u7cfb\u7edf\u7684\u57fa\u672c\u674e\u96c5\u666e\u8bfa\u592b\u5b9a\u7406<\/strong><\/p>\n

\u4e94\u3001\u4f8b\u5b50<\/strong><\/p>\n

\u516d\u3001\u76f8\u5173\u8d44\u6e90\u63a8\u8350<\/strong><\/strong><\/p>\n

\u4e03\u3001\u96c6\u667a\u767e\u79d1\u8bcd\u6761\u5fd7\u613f\u8005\u62db\u52df<\/strong><\/strong><\/p>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n


<\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

1. \u4ec0\u4e48\u662f\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\uff1f<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n
\n


<\/p>\n

\u5728\u5e38\u5fae\u5206\u65b9\u7a0b\u7406\u8bba\u4e2d\uff0c\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570 Lyapunov functions <\/strong>\u662f\u53ef\u7528\u6765\u8bc1\u660e\u5e38\u5fae\u5206<\/span>\u65b9\u7a0b\u5e73\u8861\u70b9 equilibrium point\u7a33\u5b9a\u6027\u7684\u6807\u91cf\u51fd\u6570 scalar function \u3002\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u662f\u4ee5\u4fc4\u7f57\u65af\u6570\u5b66\u5bb6\u4e9a\u5386\u5c71\u5927\u00b7\u674e\u96c5\u666e\u8bfa\u592b Aleksandr Lyapunov \u7684\u540d\u5b57\u547d\u540d\uff0c\u4e5f\u79f0\u4e3a\u7a33\u5b9a\u6027\u7684\u674e\u96c5\u666e\u8bfa\u592b\u7b2c\u4e8c\u65b9\u6cd5\u3002\u5bf9\u4e8e\u52a8\u529b\u7cfb\u7edf dynamical system \u7684\u7a33\u5b9a\u6027\u7406\u8bba stability theory \u548c\u63a7\u5236\u8bba control theory \u5341\u5206\u91cd\u8981\u3002\u5728\u4e00\u822c\u72b6\u6001\u7a7a\u95f4\u9a6c\u5c14\u53ef\u592b\u94fe Markov chains \u7406\u8bba\u4e2d\u4e5f\u51fa\u73b0\u4e86\u7c7b\u4f3c\u7684\u6982\u5ff5\uff0c\u901a\u5e38\u79f0\u4e3aFoster-Lyapunov \u51fd\u6570\u3002<\/span><\/p>\n


<\/p>\n

\u5bf9\u4e8e\u67d0\u4e9b\u7c7b\u578b\u7684\u5e38\u5fae\u5206\u65b9\u7a0b\uff0c\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u7684\u5b58\u5728\u6027\u662f\u5176\u7a33\u5b9a\u6027\u7684\u5145\u8981\u6761\u4ef6\u3002\u5c3d\u7ba1\u5bf9\u4e8e\u5e38\u5fae\u5206\u65b9\u7a0b\u6ca1\u6709\u6784\u9020\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u7684\u4e00\u822c\u65b9\u6cd5\uff0c\u4f46\u5728\u8bb8\u591a\u7279\u5b9a\u60c5\u51b5\u4e0b\uff0c\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u7684\u6784\u9020\u662f\u5df2\u77e5\u7684\u3002\u4f8b\u5982\uff0c\u4e8c\u6b21\u51fd\u6570\u6ee1\u8db3\u4e00\u4e2a\u72b6\u6001\u7684\u7cfb\u7edf\u7684\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\uff1b\u4e00\u4e2a\u7279\u5b9a\u7ebf\u6027\u77e9\u9635\u4e0d\u7b49\u5f0f\u7684\u89e3\u4e3a\u7ebf\u6027\u7cfb\u7edf\u63d0\u4f9b\u4e86\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\uff1b\u5b88\u6052\u5f8b Conservation law \u901a\u5e38\u53ef\u4ee5\u7528\u6765\u6784\u9020\u7269\u7406\u7cfb\u7edf\u7684\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u3002<\/span><\/p>\n


<\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

2. \u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u7684\u5b9a\u4e49<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n<\/section>\n

<\/strong>\u5bf9\u4e8e\u4e00\u4e2a\u81ea\u6cbb\u52a8\u529b\u7cfb\u7edf<\/span><\/section>\n
<\/section>\n

<\/section>\n
y=0 \u662f\u5b83\u7684\u4e00\u4e2a\u5e73\u8861\u70b9\uff0c\u5176\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u662f\u4e00\u4e2a\u6807\u91cf\u51fd\u6570\uff1a<\/span>\uff0c\u8be5\u51fd\u6570\u8fde\u7eed\u3001\u5177\u6709\u8fde\u7eed\u7684\u4e00\u9636\u5bfc\u6570\u4e14\u5c40\u90e8\u6b63\u5b9a\uff0c<\/span>\u4e5f\u662f\u5c40\u90e8\u6b63\u5b9a\u7684\u3002\u6709\u65f6\u628a<\/span>\u5c40\u90e8\u6b63\u5b9a\u7684\u6761\u4ef6\u8868\u8ff0\u4e3a<\/span>\u662f\u5c40\u90e8\u8d1f\u5b9a\u7684\u3002<\/span><\/section>\n

<\/span><\/section>\n

<\/span><\/section>\n

<\/span><\/section>\n

<\/span><\/section>\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

3. \u76f8\u5173\u672f\u8bed<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

\u5bf9\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\u51fa\u73b0\u5728\u52a8\u529b\u7cfb\u7edf\u5e73\u8861\u70b9\u7684\u7814\u7a76\u4e2d\u3002\u5728<\/span>\u7a7a\u95f4\u4e2d\uff0c\u4efb\u610f\u4e00\u4e2a\u81ea\u6cbb\u52a8\u529b\u7cfb\u7edf\u90fd\u53ef\u4ee5\u88ab\u5199\u6210\uff1a<\/span>
<\/p>\n


<\/section>\n

<\/section>\n
<\/section>\n

<\/section>\n
\u5bf9\u4e8e\u4e00\u4e9b\u5e73\u6ed1\u7684\u51fd\u6570\uff1a<\/span><\/section>\n

<\/section>\n
\u5e73\u8861\u70b9\u662f\u4e00\u4e2a\u6ee1\u8db3<\/span>\u7684\u70b9y\u2217\u3002\u7ed9\u5b9a\u4e00\u4e2a\u5e73\u8861\u70b9y\u2217\uff0c\u603b\u662f\u5b58\u5728\u4e00\u4e2a\u5750\u6807\u53d8\u6362x=y\u2212y\u2217\uff0c\u4f7f\u5f97\uff1a<\/span><\/section>\n

<\/section>\n
<\/section>\n

<\/section>\n
\u56e0\u6b64\u5728\u7814\u7a76\u5e73\u8861\u70b9\u65f6\uff0c\u53ea\u8981\u9700\u8981\u5047\u8bbe\u5e73\u8861\u70b9\u51fa\u73b0\u57280\u5904\u3002<\/span><\/section>\n

<\/section>\n
\u6839\u636e\u94fe\u5f0f\u6cd5\u5219\uff0c\u5bf9\u4e8e\u4efb\u610f\u51fd\u6570<\/span>\uff0c\u51fd\u6570\u6cbf\u52a8\u529b\u5b66\u7cfb\u7edf\u89e3\u53d6\u503c\u7684\u65f6\u95f4\u5bfc\u6570\u4e3a:<\/span><\/section>\n

<\/p>\n

\u51fd\u6570H \u88ab\u5b9a\u4e49\u4e3a\u5c40\u90e8 \u6b63\u5b9a\u51fd\u6570 positive-definite function\uff08\u5728\u52a8\u529b\u7cfb\u7edf\u7684\u610f\u4e49\u4e0a\uff09\uff0c\u5982\u679cH(0)=0\u5e76\u4e14\u6709\u4e00\u4e2a\u90bb\u57dfB\u4f7f\u5f97<\/span><\/section>\n

<\/span><\/section>\n
<\/section>\n


<\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

4. \u81ea\u6cbb\u7cfb\u7edf\u7684\u57fa\u672c\u674e\u96c5\u666e\u8bfa\u592b\u5b9a\u7406<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

\u4ee4<\/span>\u662f\u5982\u4e0b\u81ea\u6cbb\u7cfb\u7edf\u7684\u5e73\u8861\u70b9<\/span><\/p>\n


<\/p>\n

<\/section>\n


<\/span><\/p>\n

\u5e76\u4f7f\u7528<\/span>\u8868\u793a\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570 Lyapunov-candidate-function V\u7684\u65f6\u95f4\u5bfc\u6570\uff1a<\/span><\/p>\n


<\/p>\n

<\/section>\n


<\/span><\/strong><\/p>\n

\u5c40\u90e8\u6e10\u8fdb\u7a33\u5b9a\u5e73\u8861\u70b9 Locally asymptotically stable equilibrium<\/span><\/strong><\/span>
<\/p>\n

\u5982\u679c\u5e73\u8861\u70b9\u662f\u5b64\u7acb\u7684\uff0c\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570V\u662f\u5c40\u90e8\u6b63\u5b9a\u7684\uff0c\u5176\u65f6\u95f4\u5bfc\u6570\u662f\u5c40\u90e8\u8d1f\u5b9a\u7684\uff1a<\/span><\/p>\n

<\/section>\n


<\/p>\n

\u5bf9\u4e8e\u539f\u70b9\u7684\u67d0\u4e9b\u90bb\u57df<\/span>\uff0c\u53ef\u4ee5\u8bc1\u660e\u5e73\u8861\u70b9\u662f\u5c40\u90e8\u6e10\u8fd1\u7a33\u5b9a\u7684\u3002<\/span><\/p>\n


<\/p>\n

\u7a33\u5b9a\u5e73\u8861\u70b9 Stable equilibrium<\/span><\/strong><\/span><\/p>\n

\u5982\u679cV\u662f\u674e\u96c5\u666e\u8bfa\u592b\u51fd\u6570\uff0c\u90a3\u4e48\u5e73\u8861\u70b9\u662f\u674e\u96c5\u666e\u8bfa\u592b\u7a33\u5b9a\u7684\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u53cd\u4e4b\u4ea6\u7136\uff0cJ. L. Massera\u8bc1\u660e\u4e86\u8fd9\u4e00\u70b9\u3002<\/span><\/p>\n


<\/p>\n

\u5168\u5c40\u6e10\u8fdb\u7a33\u5b9a\u5e73\u8861\u70b9 Globally asymptotically stable equilibrium<\/span><\/strong><\/span><\/p>\n

\u5982\u679c\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570V\u662f\u5168\u5c40\u6b63\u5b9a\u3001\u5f84\u5411\u65e0\u754c\u7684\uff0c\u5e73\u8861\u70b9\u662f\u5b64\u7acb\u7684\uff0c\u4e14\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570\u7684\u65f6\u95f4\u5bfc\u6570\u662f\u5168\u5c40\u8d1f\u5b9a\u7684\uff1a<\/span><\/p>\n


<\/p>\n


<\/p>\n

\u53ef\u4ee5\u8bc1\u660e\u5e73\u8861\u70b9\u662f\u5168\u5c40\u6e10\u8fd1\u7a33\u5b9a\u7684\u3002<\/span><\/p>\n


<\/p>\n

\u5982\u679c\u6ee1\u8db3\uff1a<\/span><\/p>\n


<\/section>\n


<\/p>\n

\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570<\/span>\u662f\u5f84\u5411\u65e0\u754c\u7684\u3002(\u8fd9\u4e5f\u88ab\u79f0\u4e3a\u8303\u6570\u5f3a\u5236\u3002)<\/span><\/p>\n


<\/p>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

5. \u4f8b\u5b50<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/span><\/p>\n

\u5728\u7edf\u8ba1\u5b66\u548c\u7ecf\u6d4e\u5b66\u4e2d\uff0c\u56e0\u679c\u5173\u7cfb\u901a\u5e38\u901a\u8fc7\u56de\u5f52\u5206\u6790\u6765\u68c0\u9a8c\u3002<\/span><\/p>\n


<\/span><\/p>\n

\u8003\u8651\u4e0b\u9762\u5177\u6709<\/span>\u4e0a\u7684\u89e3x\u7684\u5fae\u5206\u65b9\u7a0b\uff1a<\/span><\/p>\n

<\/p>\n

\u8003\u8651\u5230<\/span>\u5728\u539f\u70b9\u9644\u8fd1\u59cb\u7ec8\u4e3a\u6b63\uff0c\u56e0\u6b64\u81ea\u7136\u800c\u7136\u5730\u6210\u4e3a\u5e2e\u52a9\u6211\u4eec\u7814\u7a76x\u7684\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570\u3002<\/span><\/p>\n


<\/p>\n

\u4ee4<\/span>\u5728<\/span>\u4e0a\u3002\u7136\u540e\u6709<\/span><\/p>\n


<\/p>\n

<\/p>\n


<\/p>\n

\u8fd9\u6b63\u8868\u660e\u4e0a\u9762\u7684\u5fae\u5206\u65b9\u7a0b x\u5173\u4e8e\u539f\u70b9\u662f\u6e10\u8fd1\u7a33\u5b9a\u7684\u3002\u6ce8\u610f\uff0c\u4f7f\u7528\u76f8\u540c\u7684\u674e\u96c5\u666e\u8bfa\u592b\u5019\u9009\u51fd\u6570\u53ef\u4ee5\u8bc1\u660e\u8be5\u5e73\u8861\u70b9\u4e5f\u662f\u5168\u5c40\u6e10\u8fd1\u7a33\u5b9a\u7684\u3002<\/span><\/p>\n


<\/span><\/p>\n


<\/span><\/p>\n


<\/p>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

6. \u76f8\u5173\u8d44\u6e90\u63a8\u8350<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n

<\/section>\n
\u8bfe\u7a0b\u63a8\u8350<\/strong><\/span>
<\/section>\n

\u672c\u8bfe\u7a0b\u4e3b\u8981\u8bb2\u6388\u8fde\u7eed\u548c\u79bb\u6563\u52a8\u529b\u7cfb\u7edf\u7684\u5b9a\u6001\u3001\u6781\u9650\u73af\u53ca\u5176\u7a33\u5b9a\u6027\u5206\u6790\u3001\u52a8\u529b\u5b66\u7cfb\u7edf\u7684\u7ed3\u6784\u7a33\u5b9a\u6027\u548c\u5e38\u89c1\u7684\u5206\u652f\u7c7b\u578b\u4ee5\u53ca\u5206\u6790\u65b9\u6cd5\uff0c\u6df7\u6c8c\u6982\u5ff5\u7b49\u3002<\/span><\/p>\n

<\/section>\n

<\/span><\/p>\n

\n
\n
\n

\u8bfe\u7a0b\u540d\u79f0\uff1a\u52a8\u529b\u7cfb\u7edf\u5206\u6790<\/span><\/p>\n

\u8bfe\u7a0b\u5730\u5740\uff1ahttps:\/\/campus.swarma.org\/course\/1641<\/span><\/p>\n<\/section>\n<\/section>\n<\/blockquote>\n


<\/p>\n


<\/p>\n

\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n
\n

<\/section>\n

<\/section>\n
\n
<\/svg><\/section>\n<\/section>\n<\/section>\n
\n

7.\u767e\u79d1\u9879\u76ee\u5fd7\u613f\u8005\u62db\u52df<\/span><\/strong><\/strong><\/p>\n<\/section>\n

\n

<\/section>\n

<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n<\/section>\n


<\/p>\n

\u4f5c\u4e3a\u96c6\u667a\u767e\u79d1\u9879\u76ee\u56e2\u961f\u7684\u6210\u5458\uff0c\u672c\u6587\u5185\u5bb9\u7531Jxzhou\u3001Ruili\u3001<\/strong><\/span>\u8584\u8377<\/strong>\u53c2\u4e0e\u8d21\u732e\u3002\u6211\u4eec\u4e5f\u4e3a\u6bcf\u4f4d\u4f5c\u8005\u548c\u5fd7\u613f\u8005\u51c6\u5907\u4e86\u4e13\u5c5e\u7b80\u4ecb\u548c\u4e2a\u4eba\u96c6\u667a\u767e\u79d1\u4e3b\u9875\uff0c\u66f4\u591a\u4fe1\u606f\u53ef\u4ee5\u8bbf\u95ee\u5176\u96c6\u667a\u767e\u79d1\u4e2a\u4eba\u4e3b\u9875\u3002<\/span><\/p>\n


<\/span><\/p>\n

<\/p>\n

<\/section>\n
<\/section>\n
<\/span><\/section>\n
\u4ee5\u4e0a\u5185\u5bb9\u90fd\u662f\u6211\u4eec\u505a\u8fd9\u9879\u76ee\u7684\u8d77\u70b9\uff0c\u4f5c\u4e3a\u6765\u81ea\u4e0d\u540c\u5b66\u79d1\u548c\u9886\u57df\u7684\u5fd7\u613f\u8005\uff0c\u6211\u4eec\u5efa\u7acb\u8d77\u4e00\u4e2a\u6709\u6548\u7684\u767e\u79d1\u56e2\u961f\uff0c\u5206\u914d\u6709\u5ba1\u6821\u3001\u7ffb\u8bd1\u3001\u7f16\u8f91\u3001\u5ba3\u4f20\u7b49\u5de5\u4f5c\u3002\u6211\u4eec\u79c9\u6301\uff1a\u77e5\u8bc6\u4ece\u6211\u800c\u6765\uff0c\u95ee\u9898\u5230\u6211\u4e3a\u6b62\u7684\u4fe1\u5ff5\uff0c\u8ba4\u771f\u8d1f\u8d23\u7f16\u64b0\u6bcf\u4e00\u4e2a\u8bcd\u6761\u3002<\/span><\/section>\n

<\/span><\/section>\n

<\/span><\/a><\/p>\n

\u70b9\u51fb\u56fe\u7247\u770b\u4e00\u770b\u8fd9\u4e00\u5468\u6211\u4eec\u505a\u4e86\u5565<\/span><\/strong>
<\/p>\n


<\/span><\/strong><\/p>\n

\u5728\u8fd9\u91cc\u4ece\u590d\u6742\u6027\u77e5\u8bc6\u51fa\u53d1\u4e0e\u4f19\u4f34\u540c\u884c\uff0c\u540c\u65f6\u6211\u4eec\u5e0c\u671b\u6709\u66f4\u591a\u5fd7\u613f\u8005\u52a0\u5165\u8fd9\u4e2a\u56e2\u961f\uff0c\u4f7f\u767e\u79d1\u8bcd\u6761\u5185\u5bb9\u5f97\u5230\u6269\u5145\uff0c\u5e76\u4e3a\u6bcf\u4f4d\u5fd7\u613f\u8005\u63d0\u4f9b\u76f8\u5e94\u5956\u52b1\u4e0e\u8d44\u6e90\uff0c\u5efa\u7acb\u4e2a\u4eba\u4e3b\u9875\u4e0e\u8d21\u732e\u8bb0\u5f55\uff0c\u4f7f\u5176\u80fd\u591f\u7ee7\u7eed\u63a2\u7d22\u590d\u6742\u4e16\u754c\u3002<\/span><\/p>\n


<\/p>\n

\u5982\u679c\u4f60\u6709\u610f\u53c2\u4e0e\u66f4\u52a0\u7cfb\u7edf\u7cbe\u7ec6\u7684\u5206\u5de5\uff0c\u626b\u63cf\u4e8c\u7ef4\u7801\u586b\u5199\u62a5\u540d\u8868\uff0c\u6211\u4eec\u671f\u5f85\u4f60\u7684\u52a0\u5165\uff01<\/span><\/p>\n


<\/p>\n

<\/section>\n
\u96c6\u667a\u767e\u79d1\u62a5\u540d\u8868<\/span><\/section>\n


<\/p>\n

\n
\n
\n
\u6765\u6e90\uff1a\u96c6\u667a\u767e\u79d1<\/span><\/section>\n
\u7f16\u8f91\uff1a\u66fe\u7965\u8f69<\/span><\/section>\n<\/section>\n<\/section>\n<\/blockquote>\n

<\/section>\n
\u63a8\u8350\u9605\u8bfb<\/span><\/strong><\/span><\/section>\n