\u5728\u6570\u5b66\u4e2d\uff0c\u5947\u51fd\u6570\u548c\u5076\u51fd\u6570\u662f\u4e24\u79cd\u7279\u6b8a\u7684\u51fd\u6570\u7c7b\u578b\uff0c\u5947\u51fd\u6570\u4e0e\u5076\u51fd\u6570\u662f\u6570\u5b66\u4e2d\u5e38\u89c1\u7684\u5bf9\u79f0\u6027\u8d28\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u5947\u51fd\u6570\u7684\u56fe\u50cf\u5173\u4e8e\u539f\u70b9\u5bf9\u79f0\uff0c\u800c\u5076\u51fd\u6570\u7684\u56fe\u50cf\u5173\u4e8ey\u8f74\u5bf9\u79f0\u3002<\/p>\n
\u5947\u51fd\u6570\u548c\u5076\u51fd\u6570\u7684\u533a\u522b<\/p>\n
\u56fe\u50cf\u4e0d\u540c\uff1a\u5947\u51fd\u6570\u5173\u4e8e\u539f\u70b9\u5bf9\u79f0\uff0c\u5076\u51fd\u6570\u5173\u4e8eY\u8f74\u5bf9\u79f0\u3002<\/p>\n
\u5b9a\u4e49\u57df\u5185\u6ee1\u8db3\u7684\u6761\u4ef6\u4e0d\u540c\uff1a\u5947\u51fd\u6570\u5bf9\u4efb\u610f\u5b9a\u4e49\u57df\u5185\u7684x\u90fd\u6ee1\u8db3f\uff08-x\uff09=-f\uff08x\uff09\uff0c\u5076\u51fd\u6570\u5bf9\u4efb\u610f\u5b9a\u4e49\u57df\u5185\u7684x\u90fd\u6ee1\u8db3f\uff08-x\uff09=f\uff08x\uff09\u3002<\/p>\n
\u6027\u8d28\u4e0d\u540c\uff1a\u5947\u51fd\u6570\u5728\u5176\u5bf9\u79f0\u533a\u95f4\u4e0a\u5177\u6709\u76f8\u540c\u7684\u5355\u8c03\u6027\uff0c\u5076\u51fd\u6570\u5728\u5176\u5bf9\u79f0\u533a\u95f4\u4e0a\u5177\u6709\u76f8\u53cd\u7684\u5355\u8c03\u6027\u3002<\/p>\n
\u600e\u4e48\u533a\u5206\u5947\u51fd\u6570\u548c\u5076\u51fd\u6570<\/p>\n
\u5947\u51fd\u6570\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n
1.\u5b9a\u4e49\u57df\u5173\u4e8e\u539f\u70b9\u5bf9\u79f0\uff1b<\/p>\n
2.\u56fe\u50cf\u5173\u4e8e\u539f\u70b9\u5bf9\u79f0\uff1b<\/p>\n
3.\u5f53\u81ea\u53d8\u91cfx\u4e3a\u4efb\u610f\u5b9e\u6570\u65f6\uff0c\u6709f\uff08-x\uff09=-f\uff08x\uff09\u3002<\/p>\n
\u5e38\u89c1\u7684\u5947\u51fd\u6570\u6709\u6b63\u5f26\u51fd\u6570\u3001\u4f59\u5f26\u51fd\u6570\u7b49\u3002<\/p>\n
\u5076\u51fd\u6570\u5219\u5177\u6709\u4ee5\u4e0b\u7279\u70b9\uff1a<\/p>\n
1.\u5b9a\u4e49\u57df\u5173\u4e8e\u539f\u70b9\u5bf9\u79f0\uff1b<\/p>\n
2.\u56fe\u50cf\u5173\u4e8ey\u8f74\u5bf9\u79f0\uff1b<\/p>\n
3.\u5f53\u81ea\u53d8\u91cfx\u4e3a\u4efb\u610f\u5b9e\u6570\u65f6\uff0c\u6709f\uff08-x\uff09=f\uff08x\uff09\u3002<\/p>\n
\u5e38\u89c1\u7684\u5076\u51fd\u6570\u6709\u5e73\u65b9\u51fd\u6570\u3001\u6307\u6570\u51fd\u6570\u7b49\u3002<\/p>\n
\u4e3a\u4e86\u533a\u5206\u4e00\u4e2a\u7ed9\u5b9a\u7684\u51fd\u6570\u662f\u5947\u51fd\u6570\u8fd8\u662f\u5076\u51fd\u6570\uff0c\u53ef\u4ee5\u901a\u8fc7\u4ee5\u4e0b\u6b65\u9aa4\u8fdb\u884c\uff1a<\/p>\n
1.\u5c06\u8be5\u51fd\u6570\u8868\u793a\u6210\u57fa\u672c\u5f62\u5f0f\uff08\u4f8b\u5982\u4e09\u89d2\u5f62\u5f0f\u3001\u6307\u6570\u5f62\u5f0f\u3001\u5e42\u6b21\u5f62\u5f0f\uff09\uff1b<\/p>\n
2.\u4ee3\u5165\u81ea\u53d8\u91cf\u76f8\u53cd\u6570\u5e76\u6bd4\u8f83\u7ed3\u679c\u3002\u5982\u679c\u7ed3\u679c\u7b49\u4e8e\u539f\u6765\u7684\u76f8\u53cd\u6570\u4e58\u4ee5-1\uff0c\u5219\u8fd9\u4e2a\u51fd\u6570\u662f\u5947\u51fd\u6570\u3002\u5982\u679c\u7ed3\u679c\u7b49\u4e8e\u539f\u6765\u7684\u76f8\u53cd\u6570\uff0c\u5219\u8fd9\u4e2a\u51fd\u6570\u662f\u5076\u51fd\u6570\u3002\u5982\u679c\u4e0d\u7b26\u5408\u4e0a\u8ff0\u6761\u4ef6\uff0c\u5219\u8be5\u51fd\u6570\u4e0d\u662f\u5947\u4e5f\u4e0d\u662f\u5076\u3002<\/p>\n
\u4f8b\u5982\uff0c\u4ee5$f\uff08x\uff09=x^3$\u4e3a\u4f8b\u3002\u5c06\u5176\u4ee3\u5165$x=-x$\u5f97\u5230$f\uff08-x\uff09=-\uff08x^3\uff09=-f\uff08x\uff09$\uff0c\u56e0\u6b64$f\uff08x\uff09$\u662f\u4e00\u4e2a\u5947\u51fd\u6570\u3002\u518d\u4f8b\u5982\uff0c\u4ee5$f\uff08x\uff09=\\cosx$\u4e3a\u4f8b\u3002\u5c06\u5176\u4ee3\u5165$x=-x$\u5f97\u5230$f\uff08-x\uff09=\\cos\uff08-x\uff09=\\cosx=f\uff08x\uff09$\uff0c\u56e0\u6b64$f\uff08x\uff09$\u662f\u4e00\u4e2a\u5076\u51fd\u6570\u3002<\/p>\n
\u5947\u51fd\u6570\u548c\u5076\u51fd\u6570\u7684\u8054\u7cfb<\/p>\n
1\u3001\u5947\u51fd\u6570\u548c\u5947\u51fd\u6570\uff1a\u76f8\u52a0\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u51cf\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u4e58\u7ed3\u679c\u4e3a\u5947\u51fd\u6570\uff0c\u76f8\u9664\u7ed3\u679c\u4e3a\u5947\u51fd\u6570\u3002<\/p>\n
2\u3001\u5076\u51fd\u6570\u548c\u5076\u51fd\u6570\uff1a\u76f8\u52a0\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u51cf\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u4e58\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u9664\u7ed3\u679c\u5947\u51fd\u6570\u5076\u51fd\u6570\u90fd\u6709\u53ef\u80fd\u3002<\/p>\n
3\u3001\u5947\u51fd\u6570\u548c\u5076\u51fd\u6570\uff1a\u76f8\u52a0\u7ed3\u679c\u4e3a\u5947\u51fd\u6570\uff0c\u76f8\u51cf\u7ed3\u679c\u4e3a\u5947\u51fd\u6570\uff0c\u76f8\u4e58\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u9664\u7ed3\u679c\u5947\u51fd\u6570\u5076\u51fd\u6570\u90fd\u6709\u53ef\u80fd\u3002<\/p>\n
4\u3001\u5076\u51fd\u6570\u548c\u5947\u51fd\u6570\uff1a\u76f8\u52a0\u7ed3\u679c\u4e3a\u5947\u51fd\u6570\uff0c\u76f8\u51cf\u7ed3\u679c\u4e3a\u5947\u51fd\u6570\uff0c\u76f8\u4e58\u7ed3\u679c\u4e3a\u5076\u51fd\u6570\uff0c\u76f8\u9664\u7ed3\u679c\u4e3a\u5076\u51fd\u6570<\/p>\n
\u51fd\u6570\u76f8\u4e58\u7684\u516c\u5f0f<\/p>\n
\u8868\u793a\u4e86\u4e24\u4e2a\u51fd\u6570\u76f8\u4e58\u7684\u89c4\u5219\uff0c\u5373\u5c06\u4e24\u4e2a\u51fd\u6570\u76f8\u4e58\u5f97\u5230\u4e00\u4e2a\u65b0\u7684\u51fd\u6570\u3002<\/p>\n
\u8bbe\u51fd\u6570f\uff08x\uff09\u548cg\uff08x\uff09\uff0c\u5b83\u4eec\u7684\u4e58\u79ef\u4e3ah\uff08x\uff09=f\uff08x\uff09g\uff08x\uff09\u3002\u8fd9\u610f\u5473\u7740\uff0c\u5bf9\u4e8e\u51fd\u6570h\uff08x\uff09\uff0c\u5f53\u8f93\u5165x\u65f6\uff0c\u5b83\u7684\u503c\u7b49\u4e8e\u51fd\u6570f\uff08x\uff09\u548cg\uff08x\uff09\u5bf9\u5e94\u4f4d\u7f6e\u7684\u503c\u76f8\u4e58\u3002<\/p>\n
\u4f8b\u5982\uff0c\u5982\u679cf\uff08x\uff09=2x\u4e0eg\uff08x\uff09=3x+1\uff0c\u90a3\u4e48\u5b83\u4eec\u7684\u4e58\u79efh\uff08x\uff09=\uff082x\uff09\uff083x+1\uff09\u3002<\/p>\n
\u5728\u6c42\u89e3\u4e58\u79ef\u51fd\u6570h\uff08x\uff09\u65f6\uff0c\u53ef\u4ee5\u4f7f\u7528\u5206\u914d\u5f8b\u3001\u7ed3\u5408\u5f8b\u548c\u4ea4\u6362\u5f8b\u7b49\u6570\u5b66\u8fd0\u7b97\u6027\u8d28\u8fdb\u884c\u7b80\u5316\u3002\u5bf9\u4e8e\u591a\u9879\u5f0f\u7684\u4e58\u6cd5\uff0c\u53ef\u4ee5\u5e94\u7528\u4e58\u6cd5\u516c\u5f0f\u3001FOIL\u6cd5\u5219\u7b49\u65b9\u6cd5\u3002\u4e0d\u540c\u79cd\u7c7b\u7684\u51fd\u6570\u76f8\u4e58\u7684\u89c4\u5219\u53ef\u80fd\u4f1a\u6709\u6240\u4e0d\u540c\uff0c\u56e0\u6b64\u5177\u4f53\u7684\u6c42\u89e3\u65b9\u6cd5\u53ef\u80fd\u4f1a\u6709\u6240\u5dee\u5f02\u3002<\/p>\n
\u51fd\u6570\u7684\u4e58\u6cd5\u516c\u5f0f\u53ef\u4ee5\u5728\u6570\u5b66\u3001\u7269\u7406\u3001\u7ecf\u6d4e\u7b49\u9886\u57df\u7684\u95ee\u9898\u4e2d\u5f97\u5230\u5e94\u7528\uff0c\u4ee5\u63cf\u8ff0\u4e24\u4e2a\u6216\u591a\u4e2a\u53d8\u91cf\u4e4b\u95f4\u7684\u76f8\u4e92\u4f5c\u7528\u6216\u5173\u7cfb\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u5728\u6570\u5b66\u4e2d\uff0c\u5947\u51fd\u6570\u548c\u5076\u51fd\u6570\u662f\u4e24\u79cd\u7279\u6b8a\u7684\u51fd\u6570\u7c7b\u578b\uff0c\u5947\u51fd\u6570\u4e0e\u5076\u51fd\u6570\u662f\u6570\u5b66\u4e2d\u5e38\u89c1\u7684\u5bf9\u79f0\u6027\u8d28\u3002\u7b80\u5355\u5730\u8bf4\uff0c\u5947\u51fd\u6570\u7684\u56fe\u50cf\u5173\u4e8e … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-965","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"_links":{"self":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/965","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/comments?post=965"}],"version-history":[{"count":1,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/965\/revisions"}],"predecessor-version":[{"id":966,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/posts\/965\/revisions\/966"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/media?parent=965"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/categories?post=965"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/xueke\/wp-json\/wp\/v2\/tags?post=965"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}