{"id":27092,"date":"2026-09-26T23:07:03","date_gmt":"2026-09-26T15:07:03","guid":{"rendered":"https:\/\/www.dimioo.com\/?p=27092&post_type=doc"},"modified":"2026-09-26T23:07:03","modified_gmt":"2026-09-26T15:07:03","slug":"%e6%9c%89%e9%99%90%e5%b7%ae%e5%88%86%e6%b3%95","status":"publish","type":"doc","link":"https:\/\/www.dimioo.com\/?p=27092","title":{"rendered":"\u6709\u9650\u5dee\u5206\u6cd5"},"content":{"rendered":"<h2>\u6709\u9650\u5dee\u5206\u6cd5<\/h2>\n<p>\u5728\u79bb\u6563\u5316\u9636\u6bb5\uff0c\u6a21\u578b\u9700\u8981\u8f6c\u6362\u4e3a\u5177\u6709\u7531\u8282\u70b9\u5b9a\u4e49\u7684\u4e0d\u540c\u5355\u5143\u7684\u6570\u503c\u7f51\u683c\uff1b\u8bf7\u53c2\u9605\u56fe 1\u3002\u5bf9\u4e8e\u4e8c\u7ef4\u95ee\u9898\uff0ci \u548c j \u5c06\u7528\u4e8e\u6c34\u5e73\u548c\u5782\u76f4\u65b9\u5411\u3002<\/p>\n<p><img src=\"wikiimg\/img20260810230536\/358.png\" alt=\"\" \/><\/p>\n<p>\u5982\u679c\u60a8\u8fd8\u8bb0\u5f97\u5bfc\u6570\u7684\u5b9a\u4e49\uff1a<img src=\"wikiimg\/img20260810230536\/derivative.png\" alt=\"\" \/><\/p>\n<p>\u8be5\u65b9\u7a0b\u8868\u793a\u66f2\u7ebf u(x) \u7684\u5207\u7ebf\u659c\u7387\uff0c\u53ef\u4ee5\u7528\u51e0\u4f55\u65b9\u5f0f\u8868\u793a\uff0c\u5982\u56fe 2 \u6240\u793a\u3002<\/p>\n<p><img src=\"wikiimg\/img20260810230536\/359.png\" alt=\"\" \/><\/p>\n<p>\u73b0\u5728\uff0c\u5047\u8bbe\u6211\u4eec\u5df2\u77e5 xi\u3001xi+1 \u548c xi-1 \u7684\u503c\uff0c\u90a3\u4e48\u6709\u4e09\u79cd\u65b9\u5f0f\u53ef\u4ee5\u6c42\u51fa\u66f2\u7ebf\u659c\u7387\u3002<\/p>\n<p>\u540e\u5411\u5dee\u5206\uff0c\u4f7f\u7528 xi \u548c xi-1\u3002<\/p>\n<p>\u524d\u5411\u5dee\u5206\uff0c\u4f7f\u7528 xi \u548c xi+1\u3002<\/p>\n<p>\u4e2d\u5fc3\u5dee\u5206\uff0c\u4f7f\u7528 xi+1 \u548c xi-1\u3002<\/p>\n<p>\u5982\u679c\u6211\u4eec\u5047\u8bbe <img src=\"wikiimg\/img20260810230536\/del.png\" alt=\"\" \/> \u662f\u4e24\u4e2a\u8fde\u7eed\u8282\u70b9\u4e4b\u95f4\u7684\u5dee\uff0c\u90a3\u4e48 <img src=\"wikiimg\/img20260810230536\/del.png\" alt=\"\" \/> \u7684\u503c\u8d8a\u5c0f\uff0c\u6211\u4eec\u5f97\u5230\u7684\u659c\u7387\u503c\u5c31\u8d8a\u51c6\u786e\u3002<\/p>\n<p>\u5bf9\u4e8e\u5747\u5300\u7f51\u683c\uff0c\u5176\u4e2d\u6bcf\u4e2a\u8282\u70b9\u7684 <img src=\"wikiimg\/img20260810230536\/del.png\" alt=\"\" \/> \u76f8\u540c\uff0c\u5219\u57fa\u4e8e<\/p>\n<p>\u540e\u5411\u5dee\u5206\uff1a<img src=\"wikiimg\/img20260810230536\/eq8.png\" alt=\"\" \/><\/p>\n<p>\u524d\u5411\u5dee\u5206\uff1a<img src=\"wikiimg\/img20260810230536\/en1.png\" alt=\"\" \/><\/p>\n<p>\u4e2d\u5fc3\u5dee\u5206\uff1a<img src=\"wikiimg\/img20260810230536\/en2.png\" alt=\"\" \/><\/p>\n<p>\u73b0\u5728\uff0c\u5982\u679c\u60a8\u4f7f\u7528\u6cf0\u52d2\u7ea7\u6570\u5c55\u5f00\u540e\u5411\u5dee\u5206\u5bfc\u6570\uff0c\u5219<\/p>\n<p>\u8003\u8651\u51fd\u6570 u(x) \u53ca\u5176\u5728\u70b9 x \u5904\u7684\u5bfc\u6570\uff0c<\/p>\n<p><img src=\"wikiimg\/img20260810230536\/derivative1.png\" alt=\"\" \/><\/p>\n<p>\u5982\u679c u(x + <img src=\"wikiimg\/img20260810230536\/del.png\" alt=\"\" \/>) \u5728 u(x) \u9644\u8fd1\u5c55\u5f00\u4e3a\u6cf0\u52d2\u7ea7\u6570\uff0c\u6211\u4eec\u5f97\u5230<\/p>\n<p><img src=\"wikiimg\/img20260810230536\/en3.png\" alt=\"\" \/><\/p>\n<p>\u5982\u679c\u6211\u4eec\u5c06\u6b64\u503c\u4ee3\u5165\u5bfc\u6570\u65b9\u7a0b\uff0c\u5219<\/p>\n<p><img src=\"wikiimg\/img20260810230536\/en4.png\" alt=\"\" \/><\/p>\n<p>\u57fa\u4e8e\u6b64\u65b9\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u5c06 u \u5728 i+1 \u548c i-1 \u5904\u7684\u6cf0\u52d2\u7ea7\u6570\u5199\u4e3a\uff1a<\/p>\n<p><img src=\"wikiimg\/img20260810230536\/en5.png\" alt=\"\" \/><\/p>\n<p>\u91cd\u5199\u4e0a\u8ff0\u4e24\u4e2a\u65b9\u7a0b\uff0c\u6211\u4eec\u5f97\u5230\uff1a<\/p>\n<p>\u524d\u5411\u5dee\u5206\uff1a<img src=\"wikiimg\/img20260810230536\/en6.png\" alt=\"\" \/><\/p>\n<p>\u540e\u5411\u5dee\u5206\uff1a<img src=\"wikiimg\/img20260810230536\/en7.png\" alt=\"\" \/><\/p>\n<p>\u4e2d\u5fc3\u5dee\u5206\uff1a<img src=\"wikiimg\/img20260810230536\/en8.png\" alt=\"\" \/><\/p>\n<p>\u8bf7\u6ce8\u610f\uff0c\u4e2d\u5fc3\u5dee\u5206\u53d6 delta x \u7684\u4e8c\u9636\u5bfc\u6570\uff0c\u56e0\u6b64\u8bef\u5dee\u503c\u6bd4\u524d\u5411\u6216\u540e\u5411\u5dee\u5206\u66f4\u5c0f\u3002\u4f8b\u5982\uff0c\u5982\u679c\u524d\u5411\u6216\u540e\u5411\u5dee\u5206\u7ed9\u51fa 0.001 \u7684\u8bef\u5dee\uff0c\u90a3\u4e48\u4e8c\u9636\u5bfc\u6570\u5c06\u4e3a 0.001 x 0.001\uff0c\u5373 0.000001\u3002\u8fd9\u4e2a\u8bef\u5dee\u503c\u8981\u5c0f\u5f97\u591a\u3002<\/p>\n<p>\u60a8\u53ef\u4ee5\u5728\u4e13\u95e8\u4ecb\u7ecd\u6709\u9650\u5dee\u5206\u6cd5\u548c\u6c42\u89e3\u6280\u672f\u7684\u4e66\u7c4d\u4e2d\u8fdb\u4e00\u6b65\u4e86\u89e3\u8fd9\u4e9b\u65b9\u6cd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6709\u9650\u5dee\u5206\u6cd5 \u5728\u79bb\u6563\u5316\u9636\u6bb5\uff0c\u6a21\u578b\u9700\u8981\u8f6c\u6362\u4e3a\u5177\u6709\u7531\u8282\u70b9\u5b9a\u4e49\u7684\u4e0d\u540c\u5355\u5143\u7684\u6570\u503c\u7f51\u683c\uff1b\u8bf7\u53c2\u9605\u56fe 1\u3002\u5bf9\u4e8e\u4e8c\u7ef4\u95ee\u9898\uff0ci \u548c &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.dimioo.com\/?p=27092\" class=\"more-link\">\u7ee7\u7eed\u9605\u8bfb<span class=\"screen-reader-text\">\u201c\u6709\u9650\u5dee\u5206\u6cd5\u201d<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":27086,"menu_order":5,"comment_status":"open","ping_status":"closed","template":"","categories":[],"tags":[],"_links":{"self":[{"href":"https:\/\/www.dimioo.com\/index.php?rest_route=\/wp\/v2\/doc\/27092"}],"collection":[{"href":"https:\/\/www.dimioo.com\/index.php?rest_route=\/wp\/v2\/doc"}],"about":[{"href":"https:\/\/www.dimioo.com\/index.php?rest_route=\/wp\/v2\/types\/doc"}],"author":[{"embeddable":true,"href":"https:\/\/www.dimioo.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.dimioo.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=27092"}],"version-history":[{"count":0,"href":"https:\/\/www.dimioo.com\/index.php?rest_route=\/wp\/v2\/doc\/27092\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/www.dimioo.com\/index.php?rest_route=\/wp\/v2\/doc\/27086"}],"wp:attachment":[{"href":"https:\/\/www.dimioo.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=27092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.dimioo.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=27092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dimioo.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=27092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}