{"id":3834,"date":"2013-09-19T12:24:02","date_gmt":"2013-09-19T04:24:02","guid":{"rendered":"http:\/\/lttt.blog.ustc.edu.cn\/?p=3834"},"modified":"2013-09-19T12:24:02","modified_gmt":"2013-09-19T04:24:02","slug":"%e5%a6%82%e4%bd%95%e7%94%bb%e4%b8%80%e9%98%b6ode%e7%9a%84%e7%a7%af%e5%88%86%e6%9b%b2%e7%ba%bf","status":"publish","type":"post","link":"https:\/\/lttt.vanabel.cn\/?p=3834","title":{"rendered":"\u5982\u4f55\u753b\u4e00\u9636ODE\u7684\u79ef\u5206\u66f2\u7ebf"},"content":{"rendered":"<p>\u6709\u65f6\u5019, \u6211\u4eec\u4e0d\u80fd\u5bf9\u4e00\u4e2a\u7ed9\u5b9aODE\u89e3\u51fa\u5176\u663e\u793a\u89e3, \u90a3\u4e48\u753b\u56fe\u5927\u81f4\u77e5\u9053\u5176\u79ef\u5206\u66f2\u7ebf\u7684\u6837\u5b50\u5c31\u5f88\u6709\u5e2e\u52a9\u4e86.<\/p>\n<p>\u76f4\u63a5\u6765\u770b\u4e00\u4e2a\u4f8b\u5b50:<br \/>\n\\begin{examp}Example . \u5047\u8bbe$f'(x)=\\frac{1}{\\frac{x^2}{4}-\\ln(x)}$, $x&gt;0$, \u76f4\u63a5\u79ef\u5206\u662f\u6709\u96be\u5ea6\u7684. \u6211\u4eec\u8f6c\u800c\u8003\u5bdf\u5176\u79ef\u5206\u66f2\u7ebf.<br \/>\n\\end{examp}<br \/>\n<!--more--><\/p>\n<ul>\n<li>\u65b9\u6cd5\u4e00: \u76f4\u63a5\u5229\u7528<a href=\"http:\/\/rechneronline.de\/function-graphs\/\">\u8fd9\u91cc\u7684\u5de5\u5177<\/a>:<br \/>\n\u5728\u5176\u4e2d\u586b\u5165\u5982\u4e0b\u56fe\u6240\u793a(\u7ed8\u56fe\u533a\u95f4\u90fd\u8bbe\u7f6e\u62100\u523010\u5373\u53ef\uff0c\u4e0b\u9762\u8fd8\u6709\u90e8\u5206\u8bbe\u7f6e\u6ca1\u6709\u622a\u56fe\u51fa\u6765\uff0c \u5176\u4e2d Range x-axis from\u4e0e Range x-axis from\u90fd\u8bbe\u7f6e\u62100\u523010)<br \/>\n<img decoding=\"async\" title=\"\u8868\u5355\u7684\u586b\u5165\" alt=\"\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/intdraw.png\" \/><br \/>\n\u53ef\u4ee5\u770b\u5230, \u6211\u8bbe\u7f6e\u4e86\u4e24\u4e2a\u51fd\u6570, \u7b2c\u4e00\u4e2a\u9009\u62e9\u7684\u662f<code>Integral<\/code>\u5373\u79ef\u5206\u66f2\u7ebf, \u800c\u7b2c\u4e8c\u4e2a\u662f\u51fd\u6570\u672c\u8eab\u7684\u56fe\u50cf.<br \/>\n\u6548\u679c\u89c1\u4e0b\u56fe:<br \/>\n<img decoding=\"async\" title=\"\" alt=\"\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/intdraw_graph.png\" \/><\/li>\n<li>\u65b9\u6cd5\u4e8c: \u5229\u7528mathematica\u5bf9\u4e8e\u5b89\u88c5\u4e86\u6570\u5b66\u8f6f\u4eba, \u53ef\u4ee5\u8fd9\u6837 \u505a :\n<p><script type=\"text\/javascript\" src=\"https:\/\/www.wolfram.com\/cdf-player\/plugin\/v2.1\/cdfplugin.js\"><\/script><br \/>\n<script type=\"text\/javascript\">\nvar cdf = new cdfplugin();\ncdf.setDefaultContent('<a href=\"https:\/\/www.wolfram.com\/cdf-player\/\"><img decoding=\"async\" src=\"https:\/\/lttt.vanabel.cn\/wp-content\/uploads\/2013\/09\/Integral_Curve.png\"\/><\/a>');\ncdf.embed('https:\/\/lttt.blog.ustc.edu.cn\/wp-content\/uploads\/2013\/11\/Integral_Curve.cdf', 590, 610);\n<\/script><\/p>\n<p>\u56fe\u4e2d, \u7ea2\u7ebf\u8868\u793a\u6d41\u7ebf\u56fe, \u4e5f\u5373\u9996\u5148\u8ba1\u7b97\u51fa\u7ed9\u5b9a\u7f51\u683c\u70b9\u5904\u7684\u65b9\u5411, \u7136\u540e\u7528\u77ed\u76f4\u7ebf(\u4e5f\u53ef\u80fd\u662f\u8d1d\u585e\u5c14\u66f2\u7ebf, \u4f7f\u5176\u5c3d\u53ef\u80fd\u5149\u6ed1)\u8fde\u63a5\u8d77\u6765. \u800c\u84dd\u7ebf\u8868\u793a\u5229\u7528\u6570\u503c\u89e3\u89e3\u51fa\u7684\u79ef\u5206\u66f2\u7ebf, \u8fd9\u4e24\u6761\u66f2\u7ebf\u90fd\u901a\u8fc7$(2,7)$. \u6211\u7279\u522b\u8bbe\u7f6e\u4e86\u4e00\u4e2a\u5b9a\u4f4d\u70b9, \u4f60\u53ef\u4ee5\u4efb\u610f\u79fb\u52a8\u8be5\u70b9\u5f97\u5230\u901a\u8fc7\u8be5\u70b9\u7684\u6d41\u7ebf\u66f2\u7ebf.<\/p>\n<p>\u4ece\u56fe\u4e2d\u53ef\u4ee5\u770b\u5230, \u968f\u7740\u8ba1\u7b97\u7cbe\u5ea6\u7684\u4e0d\u540c, \u5f97\u5230\u7684\u6d41\u7ebf\u4ee5\u53ca\u6570\u503c\u89e3\u90fd\u662f\u4e0d\u540c\u7684. \u8fd9\u8868\u660e\u65e0\u8bba\u54ea\u79cd\u56fe\u5f62, \u90fd\u53ea\u80fd\u4f5c\u4e3a\u539f\u5fae\u5206\u65b9\u7a0b\u7684\u8fd1\u4f3c\u89e3, \u6211\u4eec\u4e00\u822c\u53ea\u80fd\u770b\u51fa\u89e3\u7684\u5927\u81f4\u5206\u5e03, \u800c\u4e0d\u80fd\u4f5c\u4e3a\u4e25\u683c\u7684\u8bc1\u660e.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u6709\u65f6\u5019, \u6211\u4eec\u4e0d\u80fd\u5bf9\u4e00\u4e2a\u7ed9\u5b9aODE\u89e3\u51fa\u5176\u663e\u793a\u89e3, \u90a3\u4e48\u753b\u56fe\u5927\u81f4\u77e5\u9053\u5176\u79ef\u5206\u66f2\u7ebf\u7684\u6837 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/lttt.vanabel.cn\/?p=3834\"> <span class=\"screen-reader-text\">\u5982\u4f55\u753b\u4e00\u9636ODE\u7684\u79ef\u5206\u66f2\u7ebf<\/span> \u9605\u8bfb\u66f4\u591a &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[548,289],"class_list":["post-3834","post","type-post","status-publish","format-standard","hentry","category-mathnotes","tag-mathematica","tag-289"],"_links":{"self":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/3834","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3834"}],"version-history":[{"count":0,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=\/wp\/v2\/posts\/3834\/revisions"}],"wp:attachment":[{"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3834"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3834"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lttt.vanabel.cn\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3834"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}