{"id":480,"date":"2013-07-19T12:02:41","date_gmt":"2013-07-19T04:02:41","guid":{"rendered":"http:\/\/lttt.blog.ustc.edu.cn\/?p=480"},"modified":"2013-07-19T12:02:41","modified_gmt":"2013-07-19T04:02:41","slug":"%e5%85%ac%e5%bc%8f%e8%87%aa%e5%8a%a8%e7%bc%96%e5%8f%b7%e4%b8%94%e8%87%aa%e5%8a%a8%e6%a0%bc%e5%bc%8f%e5%8c%96%e7%9a%84%e5%8a%9e%e6%b3%95","status":"publish","type":"post","link":"https:\/\/lttt.vanabel.cn\/?p=480","title":{"rendered":"[\u66f4\u65b0]\u516c\u5f0f\u81ea\u52a8\u7f16\u53f7\u4e14\u81ea\u52a8\u683c\u5f0f\u5316\u7684\u529e\u6cd5"},"content":{"rendered":"<p>\u611f\u8c22\u7f51\u53cbmewing ana\u7684\u5efa\u8bae, \u786e\u5b9e\u53ef\u4ee5\u5f88\u597d\u7684\u5b9e\u73b0\u4ea4\u53c9\u5f15\u7528. \u7279\u6b64\u66f4\u65b0\u4e86\u4e0b\u672c\u7248\u672c!<\/p>\n<p>Word\u6392\u7248\u4e2d\u6570\u5b66\u516c\u5f0f\u7684\u6392\u7248\u662f\u4e2a\u95ee\u9898, \u4f46\u662f2010\u6bd5\u7adf\u6709\u4e9b\u6539\u8fdb. \u6211\u4eec\u5c31\u6765\u770b\u770b\u516c\u5f0f\u5c45\u4e2d\u4ee5\u53ca\u81ea\u52a8\u7f16\u53f7\u57282010\u4e2d\u7684\u5b9e\u73b0.<\/p>\n<h3>\u516c\u5f0f\u7684\u63d2\u5165\u4e0e\u81ea\u52a8\u7f16\u53f7<\/h3>\n<p>\u9996\u5148\u63d2\u5165\u4e00\u4e2a\u65b0\u516c\u5f0f. \u4f8b\u5982: \u63d2\u5165-&gt;\u516c\u5f0f-&gt;\u4e8c\u6b21\u516c\u5f0f, \u8fd9\u6837\u5c31\u5f97\u5230\u4e00\u4e2a\u5c45\u4e2d\u7684\u6570\u5b66\u516c\u5f0f:<br \/>\n\\[<br \/>\nx=\\frac{-b\\pm\\sqrt{b^2-4ac}}{2a}<br \/>\n\\]<br \/>\n\u7136\u540e\u5207\u6362\u5230&#8221;\u63d2\u5165&#8221;\u9762\u677f, \u5355\u51fb&#8221;\u6587\u6863\u90e8\u4ef6&#8221;-&gt;&#8221;\u57df&#8221;-&gt;&#8221;\u57df\u540d\u9009\u62e9&#8221;AutoNum&#8221;, \u57df\u5c5e\u6027\u9009\u62e9&#8221;(1),(2),(3)&#8230;&#8221;\u00a0\u5e76\u786e\u5b9a. \u8fd9\u6837\u5c31\u5728\u8be5\u516c\u5f0f\u540e\u63d2\u5165\u4e00\u4e2a\u57df(1). \u5982\u4e0b\u6240\u793a<br \/>\n\\[<br \/>\nx=\\frac{-b\\pm\\sqrt{b^2-4ac}}{2a}(1)<br \/>\n\\]<!--more--><br \/>\n\u7136\u540e\u70b9\u51fb\u4e0a\u4e0b\u6eda\u52a8\u6761\u4e0a\u9762\u7684\u90a3\u4e2a\u6807\u5c3a\u663e\u793a\u6309\u94ae\u8c03\u51fa&#8221;\u6807\u5c3a&#8221;, \u5728\u6807\u5c3a\u7ebf\u523b\u5ea6\u4e3a20\u7684\u4e0b\u8fb9\u7f18\u5904\u53cc\u51fb\u4ee5\u63d2\u5165\u4e00\u4e2a\u5236\u8868\u7b26(\u7c97\u4f53\u7684\u5c0f\u523b\u5ea6), \u5728\u5f39\u51fa\u7684\u5236\u8868\u7b26\u5bf9\u8bdd\u6846\u4e2d\u4fee\u6539\u5236\u8868\u4f4d\u4f4d\u7f6e\u4e3a20 \u5b57\u7b26(\u56e0\u4e3a\u9ed8\u8ba4\u7684\u9875\u9762\u5bbd\u5ea6\u4e3a40, \u654520\u6070\u662f\u4e2d\u95f4\u4f4d\u7f6e), \u5e76\u9009\u53d6\u5bf9\u9f50\u65b9\u5f0f\u4e3a\u5c45\u4e2d\u5e76\u786e\u5b9a. \u7c7b\u4f3c\u5730, \u5728\u6807\u5c3a\u523b\u5ea640\u5de6\u53f3\u7684\u4e0b\u8fb9\u7f18\u5904\u53cc\u51fb\u4ee5\u63d2\u5165\u4e00\u4e2a\u5236\u8868\u7b26, \u5e76\u8bbe\u7f6e\u4f4d\u7f6e\u4e3a39 \u5b57\u7b26, \u5bf9\u9f50\u65b9\u5f0f\u9009\u4e3a\u53f3\u5bf9\u9f50, \u5e76\u786e\u5b9a.<\/p>\n<p>\u5c06\u5149\u6807\u5b9a\u4f4d\u5230\u516c\u5f0f\u7684\u5f00\u5934\u5904, \u6309\u4e00\u4e0bTab\u952e, \u8fd9\u65f6\u53d1\u73b0\u516c\u5f0f\u5373\u7f16\u53f7\u90fd\u5c45\u4e2d\u4e86. \u518d\u5c06\u5149\u6807\u5b9a\u4f4d\u5230\u516c\u5f0f\u4ee5\u53ca\u7f16\u53f7\u7684\u524d\u62ec\u7b26\u4e4b\u95f4, \u5e76\u6309\u4e0bTab\u952e, \u8fd9\u65f6\u7f16\u53f7\u5c31\u53f3\u5bf9\u9f50\u4e86. \u6548\u679c\u5982\u4e0b:<br \/>\n\\begin{equation}\\label{eq:1}<br \/>\nx=\\frac{-b\\pm\\sqrt{b^2-4ac}}{2a}\\tag{1}<br \/>\n\\end{equation}<br \/>\n\u81f3\u6b64\u4f60\u5df2\u7ecf\u5b9e\u73b0\u4e86\u516c\u5f0f\u7684\u81ea\u52a8\u7f16\u53f7\u4ee5\u53ca\u5c45\u4e2d.<\/p>\n<h3>\u516c\u5f0f\u7684\u81ea\u52a8\u6837\u5f0f\u5316<\/h3>\n<p>\u90a3\u4e48\u662f\u4e0d\u662f\u6bcf\u6b21\u90fd\u8981\u8fd9\u6837\u8bbe\u7f6e\u4e00\u904d\u5462? \u5982\u679c\u4f60\u6ca1\u6709\u624b\u52a8\u8bbe\u7f6e\u5236\u8868\u7b26\u7684\u4f4d\u7f6e, \u90a3\u4e48\u6bcf\u6b21\u4f60\u8bbe\u7f6e\u7684\u4f4d\u7f6e\u53ef\u80fd\u5f88\u4e0d\u4e00\u6837. \u4e8e\u662f\u6700\u597d\u7684\u529e\u6cd5\u662f\u5c06\u8fd9\u4e2a\u516c\u5f0f\u4ee5\u53ca\u7f16\u53f7\u6784\u6210\u7684\u6bb5\u843d\u8bbe\u7f6e\u6210\u4e00\u79cd\u6837\u5f0f. \u800c\u5176\u4ed6\u7684\u516c\u5f0f\u53ea\u9700\u5229\u7528\u8be5\u6837\u5f0f\u6837\u5f0f\u5316\u5373\u53ef.<\/p>\n<h4>\u65b0\u6837\u5f0f\u7684\u5b9a\u5236<\/h4>\n<p>\u9009\u62e9\u521a\u624d\u8bbe\u7f6e\u597d\u7684\u516c\u5f0f\u548c\u7f16\u53f7\u6240\u5728\u6bb5\u843d(\u5728\u8be5\u6bb5\u843d\u5de6\u8fb9\u975e\u6587\u672c\u533a\u57df\u70b9\u51fb\u5de6\u952e), \u5207\u6362\u5230\u5f00\u59cb\u9762\u677f-&gt;\u70b9\u51fb\u6837\u5f0f\u5b50\u9762\u677f\u7684\u4e0b\u7bad\u5934, \u5728\u8c03\u51fa\u7684\u6837\u5f0f\u9762\u677f\u4e2d\u9009\u62e9\u5de6\u4e0b\u89d2\u7684\u65b0\u5efa\u6837\u5f0f, \u5728\u5f39\u51fa\u7684\u6839\u636e\u683c\u5f0f\u8bbe\u7f6e\u521b\u5efa\u65b0\u6837\u5f0f\u4e2d\u4fee\u6539\u540d\u79f0\u4e3a\u4f60\u65b9\u4fbf\u8bb0\u5fc6\u7684\u540d\u79f0, \u4f8b\u5982\u6211\u7528:\u5c45\u4e2d\u7f16\u53f7\u516c\u5f0f, \u5e76\u4fee\u6539\u540e\u7eed\u6bb5\u843d\u6837\u5f0f\u4e3a\u6b63\u6587, \u53ef\u4ee5\u52fe\u9009\u81ea\u52a8\u66f4\u65b0\u9009\u6846. \u5e76\u786e\u5b9a.<\/p>\n<p>\u81f3\u6b64, \u521a\u624d\u81ea\u52a8\u7f16\u53f7\u7684\u5c45\u4e2d\u516c\u5f0f\u7684\u6837\u5f0f\u5df2\u7ecf\u4fdd\u5b58\u597d\u4e86.<\/p>\n<h4>\u5bf9\u65b0\u516c\u5f0f\u5957\u7528\u4e0a\u8ff0\u6837\u5f0f<\/h4>\n<p>\u9996\u5148, \u63d2\u5165\u4e00\u4e2a\u65b0\u516c\u5f0f, \u4f8b\u5982\u5085\u91cc\u53f6\u7ea7\u6570\u516c\u5f0f:<br \/>\n\\[<br \/>\nf(x)=a_0+\\sum_{n=1}^\\infty\\left(a_n\\cos\\frac{n\\pi x}{L}+b_n\\sin\\frac{n\\pi x}{L}\\right)<br \/>\n\\]<br \/>\n\u5e76\u4f9d\u7167\u4e0a\u9762\u7684\u65b9\u6cd5\u63d2\u5165\u7f16\u53f7.<\/p>\n<p>\u7136\u540e\u9009\u4e2d\u8be5\u516c\u5f0f\u53ca\u7f16\u53f7\u6240\u5728\u6bb5\u843d, \u5355\u51fb\u53f3\u65b9\u6837\u5f0f\u9762\u677f\u4e2d\u521a\u624d\u65b0\u5b9a\u4e49\u7684\u6837\u5f0f&#8221;\u5c45\u4e2d\u7f16\u53f7\u516c\u5f0f&#8221;, \u8fd9\u6837\u5c31\u5c06\u65b0\u6837\u5f0f\u5e94\u7528\u5230\u8fd9\u4e2a\u516c\u5f0f\u53ca\u7f16\u53f7\u4e86. \u6700\u540e\u4f60\u9700\u8981\u5728\u516c\u5f0f\u6700\u524d\u65b9\u4ee5\u53ca\u516c\u5f0f\u548c\u7f16\u53f7\u4e4b\u95f4\u5206\u522b\u6309\u4e00\u4e0bTab\u952e. \u8fd9\u6837\u516c\u5f0f\u7684\u683c\u5f0f\u5c31\u8bbe\u7f6e\u597d\u4e86.<\/p>\n<h3>\u516c\u5f0f\u7684\u4ea4\u53c9\u5f15\u7528<\/h3>\n<p>\u5728\u4e0a\u9762, \u6211\u4eec\u5b9e\u73b0\u4e86\u516c\u5f0f\u7684\u81ea\u52a8\u7f16\u53f7, \u4e0b\u9762\u6211\u4eec\u5c06\u6f14\u793a\u5982\u4f55\u5f15\u7528\u4e0a\u9762\u7684\u516c\u5f0f\u7f16\u53f7. \u5373\u6240\u8c13\u7684\u4ea4\u53c9\u5f15\u7528, \u516c\u5f0f\u7684\u5f15\u7528\u7f16\u53f7\u4f1a\u968f\u7740\u539f\u516c\u5f0f\u7f16\u53f7\u53d8\u5316\u800c\u53d8\u5316(\u66f4\u65b0\u57df\u5373\u53ef).<\/p>\n<h4>\u4e3a\u8981\u5f15\u7528\u7684\u516c\u5f0f\u6dfb\u52a0\u4e66\u7b7e<\/h4>\n<p>\u5728\u5f15\u7528\u516c\u5f0f\u4e4b\u524d, \u6211\u4eec\u9700\u8981\u624b\u52a8\u4e3a\u5176\u6dfb\u52a0\u4e66\u7b7e, \u7136\u540e\u624d\u80fd\u901a\u8fc7\u5f15\u7528\u4e66\u7b7e\u800c\u5b9e\u73b0\u4ea4\u53c9\u5f15\u7528.<\/p>\n<p>\u9009\u4e2d\u4f60\u5373\u5c06\u8981\u5f15\u7528\u7684\u516c\u5f0f\u7f16\u53f7, \u4f8b\u5982(1), \u7136\u540e\u5207\u6362\u5230&#8221;\u63d2\u5165&#8221;\u9762\u677f-&gt; &#8220;\u4e66\u7b7e&#8221;, \u4e66\u7b7e\u540d\u586b\u5165\u4f60\u65b9\u4fbf\u533a\u5206\u7684\u540d\u5b57, \u4f8b\u5982eq1, \u6700\u540e\u70b9\u51fb&#8221;\u6dfb\u52a0&#8221;, \u8fd9\u5c31\u5b8c\u6210\u4e86\u5bf9(1)\u63d2\u5165\u4e86\u4e66\u7b7e.<\/p>\n<h4>\u4e66\u7b7e\u7684\u5f15\u7528<\/h4>\n<p>\u7d27\u63a5\u7740, \u6211\u4eec\u5c31\u53ef\u4ee5\u5728\u6b63\u6587\u4e2d\u5f15\u7528\u521a\u624d\u7684\u4e66\u7b7e\u4e86.<\/p>\n<p>\u5728\u4f60\u8981\u5f15\u7528\u7684\u5730\u65b9, \u4ecd\u7136\u5207\u6362\u5230&#8221;\u63d2\u5165&#8221;\u9762\u677f, \u53ea\u662f\u8fd9\u65f6\u9009\u62e9&#8221;\u4ea4\u53c9\u5f15\u7528&#8221;, \u5728\u5f39\u51fa\u7684\u5bf9\u8bdd\u6846\u4e2d\u9009\u62e9\u5f15\u7528\u7c7b\u578b\u4e3a&#8221;\u4e66\u7b7e&#8221;, \u5f15\u7528\u5185\u5bb9\u4e3a&#8221;\u4e66\u7b7e\u6587\u5b57&#8221;, \u5e76\u52fe\u9009&#8221;\u63d2\u5165\u4e3a\u8d85\u94fe\u63a5&#8221;, \u6700\u540e\u9009\u62e9\u8981\u5f15\u7528\u7684\u4e66\u7b7e, \u4f8b\u5982\u6211\u4eec\u5c31\u5f15\u7528\u521a\u624d\u521b\u5efa\u7684eq1, \u6700\u540e\u70b9\u51fb&#8221;\u63d2\u5165&#8221;, \u8fd9\u6837\u6211\u4eec\u5c31\u5728\u6b63\u6587\u4e2d\u5bf9(1)\u5b9e\u73b0\u4e86\u4ea4\u53c9\u5f15\u7528.<\/p>\n<h4>\u57df\u7684\u81ea\u52a8\u66f4\u65b0<\/h4>\n<p>\u4f5c\u4e3a\u5b9e\u9a8c, \u6211\u5c06\u6f14\u793a\u5982\u4f55\u5b9e\u73b0\u81ea\u52a8\u66f4\u65b0\u7f16\u53f7. \u8fd9\u662f\u7279\u522b\u6709\u7528\u7684, \u4f8b\u5982\u5728\u5199\u4f5c\u65f6\u60f3\u63d2\u5165\u4e00\u4e2a\u7f16\u53f7\u7684\u516c\u5f0f, \u4f7f\u7528\u4ea4\u53c9\u5f15\u7528\u4ee5\u53caAutoNum\u4f60\u51e0\u4e4e\u4e0d\u7528\u4fee\u6539\u4ec0\u4e48\u5c31\u53ef\u4ee5\u5b9e\u73b0\u7f16\u53f7\u5b8c\u5168\u6b63\u786e.<\/p>\n<p>\u628a\u521a\u624d\u7684\u516c\u5f0f\u8fde\u5e26\u5176\u7f16\u53f7copy\u4e00\u4efd, \u5c06\u5176\u7c98\u8d34\u5230\u539f\u6765\u7684\u516c\u5f0f\u4e4b\u524d, \u4f60\u53d1\u73b0\u4ec0\u4e48? \u539f\u6765\u7684\u516c\u5f0f\u7f16\u53f7\u81ea\u52a8\u53d8\u4e3a\u4e86(2), \u8fd9\u662f\u7531\u4e8e\u539f\u6765\u516c\u5f0f\u7684\u57df\u662fAutoNum\u7684\u7f18\u6545. \u4f46\u662f\u8fd9\u65f6, \u4f60\u5f15\u7528\u7684\u516c\u5f0f\u7f16\u53f7\u4ecd\u7136\u662f\u663e\u793a\u7684(1), \u8fd9\u9700\u8981\u4f60\u624b\u52a8\u66f4\u65b0\u4e0b\u57df\u5373\u53ef: \u53f3\u952e\u4f60\u8981\u66f4\u65b0\u7684\u7f16\u53f7-&gt;\u66f4\u65b0\u57df. \u5f53\u7136, \u4f60\u4e5f\u53ef\u4ee5\u9009\u4e2d\u8981\u66f4\u65b0\u7684\u57df(\u6216\u8005\u5e72\u8106Ctrl+A)\u7136\u540eF9\u5237\u65b0\u5373\u53ef.<\/p>\n<p>\u6b64\u5916, \u4f60\u8fd8\u53ef\u4ee5\u8bbe\u7f6e\u6253\u5370\u524d\u81ea\u52a8\u66f4\u65b0\u6240\u6709\u57df: \u5355\u51fb\u6587\u4ef6-&gt;\u9009\u9879-&gt;\u663e\u793a-&gt; \u6253\u5370\u9009\u9879:\u52fe\u9009&#8221;\u6253\u5370\u524d\u66f4\u65b0\u57df&#8221;\u5e76\u786e\u5b9a.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u611f\u8c22\u7f51\u53cbmewing ana\u7684\u5efa\u8bae, \u786e\u5b9e\u53ef\u4ee5\u5f88\u597d\u7684\u5b9e\u73b0\u4ea4\u53c9\u5f15\u7528. \u7279\u6b64\u66f4\u65b0\u4e86\u4e0b &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/lttt.vanabel.cn\/?p=480\"> <span class=\"screen-reader-text\">[\u66f4\u65b0]\u516c\u5f0f\u81ea\u52a8\u7f16\u53f7\u4e14\u81ea\u52a8\u683c\u5f0f\u5316\u7684\u529e\u6cd5<\/span> \u9605\u8bfb\u66f4\u591a 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