{"id":108295,"date":"2024-02-28T20:08:35","date_gmt":"2024-02-28T12:08:35","guid":{"rendered":"http:\/\/stmu.1000uc.com\/mu\/?p=108295"},"modified":"2024-02-28T20:08:35","modified_gmt":"2024-02-28T12:08:35","slug":"%e5%a5%87%e8%bf%b9mu-%e5%ae%9d%e7%9f%b3%e7%bb%84%e6%8b%86%e5%bc%80%ef%bc%8c%e5%a5%87%e8%bf%b9mu%e8%8d%a7%e5%85%89%e5%ae%9d%e7%9f%b3%e6%80%8e%e4%b9%88%e8%8e%b7%e5%be%97","status":"publish","type":"post","link":"http:\/\/stmu.1000uc.com\/mu\/108295.html","title":{"rendered":"\u5947\u8ff9mu \u5b9d\u77f3\u7ec4\u62c6\u5f00\uff0c\u5947\u8ff9mu\u8367\u5149\u5b9d\u77f3\u600e\u4e48\u83b7\u5f97"},"content":{"rendered":"

\u4e00\u3001\u6881\u5b57\u62c6\u5f00\u5206\u522b\u662f\u4ec0\u4e48\u5b57<\/h3>\n

\u6881\u5b57\u62c6\u5f00\u5206\u522b\u662f\u6c35\u5b57(\u8bfb\u97f3\u4e3ashui\u4e09\u58f0)\u548c\u5205\u5b57(\u8bfb\u97f3\u4e3achuang\u4e00\u58f0)\u4ee5\u53ca\u6728\u5b57\uff0c\u56e0\u6b64\u6881\u5b57\u662f\u7531\u8fd9\u4e09\u4e2a\u6c49\u5b57\u6240\u7ec4\u6210\u7684\uff0c\u5176\u4e3a\u4e0a\u4e0b\u7ed3\u6784\uff0c\u6728\u5b57\u90e8\u9996\uff0c<\/p>\n

\u4e8c\u3001\u9e66\u9e49\u87bai-mu\u97f3\u7bb1\u600e\u6837\u62c6\u5f00<\/h3>\n

\u770b\u5916\u5f62\uff0c\u8981\u4e48\u662f\u80f6\u7c98\u7684\u65e0\u6cd5\u6253\u5f00\uff0c\u8981\u4e0d\u5c31\u662f\u540e\u9762\u7684\u5708\u53ef\u4ee5\u65cb\u6216\u8005\u64ac\u4e0b\u6765<\/p>\n

\u4e09\u3001\u590d\u5408\u51fd\u6570\u6c42\u5bfc\u62c6\u5206\u539f\u7406<\/h3>\n

\u590d\u5408\u51fd\u6570\u7684\u5206\u89e3\u539f\u5219\u662f\u4ece\u5916\u5f80\u91cc\u62c6\uff0c\u6bd4\u5982y=ln(sinx)\uff0cy=lnu\uff0cu=sinv\uff0cv=x\u3002<\/p>\n

\u590d\u5408\u51fd\u6570\u4e2d\u4e0d\u4e00\u5b9a\u53ea\u542b\u6709\u4e24\u4e2a\u51fd\u6570\uff0c\u6709\u65f6\u53ef\u80fd\u6709\u4e24\u4e2a\u4ee5\u4e0a\uff0c\u5982y=f(u)\uff0cu=\u03c6(v)\uff0cv=\u03c8(x)\uff0c\u5219\u51fd\u6570y=f{\u03c6[\u03c8(x)]}\u662fx\u7684\u590d\u5408\u51fd\u6570\uff0cu\u3001v\u90fd\u662f\u4e2d\u95f4\u53d8\u91cf\u3002<\/p>\n

\u8bbe\u51fd\u6570y=f(u)\u7684\u5b9a\u4e49\u57df\u4e3aDu\uff0c\u503c\u57df\u4e3aMu\uff0c\u51fd\u6570u=g(x\uff09\u7684\u5b9a\u4e49\u57df\u4e3aDx\uff0c\u503c\u57df\u4e3aMx\uff0c\u5982\u679cMx\u2229Du\u2260\uff0c\u90a3\u4e48\u5bf9\u4e8eMx\u2229Du\u5185\u7684\u4efb\u610f\u4e00\u4e2ax\u7ecf\u8fc7u\uff1b\u6709\u552f\u4e00\u786e\u5b9a\u7684y\u503c\u4e0e\u4e4b\u5bf9\u5e94\uff0c\u5219\u53d8\u91cfx\u4e0ey\u4e4b\u95f4\u901a\u8fc7\u53d8\u91cfu\u5f62\u6210\u7684\u4e00\u79cd\u51fd\u6570\u5173\u7cfb\uff0c\u8fd9\u79cd\u51fd\u6570\u79f0\u4e3a\u590d\u5408\u51fd\u6570\uff0c\u8bb0\u4e3a\uff1ay=f[g(x)]\uff0c\u5176\u4e2dx\u79f0\u4e3a\u81ea\u53d8\u91cf\uff0cu\u4e3a\u4e2d\u95f4\u53d8\u91cf\uff0cy\u4e3a\u56e0\u53d8\u91cf\uff08\u5373\u51fd\u6570\uff09\u3002<\/p>\n

\u4e0d\u662f\u4efb\u4f55\u4e24\u4e2a\u51fd\u6570\u90fd\u53ef\u4ee5\u590d\u5408\u6210\u4e00\u4e2a\u590d\u5408\u51fd\u6570\uff0c\u53ea\u6709\u5f53Mx\u2229Du\u22600\u65f6\uff0c\u4e8c\u8005\u624d\u53ef\u4ee5\u6784\u6210-\u4e2a\u590d\u5408\u51fd\u6570\u3002\u8bbe\u51fd\u6570y=f()\u7684\u5b9a\u4e49\u57df\u4e3aDu,\u503c\u57df\u4e3aMu\uff0c\u51fd\u6570u=g()\u7684\u5b9a\u4e49\u57df\u4e3aDx\uff0c\u503c\u57df\u4e3aMx,\u5982\u679cMx\u2229Du\u2260O,\u90a3\u4e48\u5bf9\u4e8eMx\u2229Du\u5185\u7684\u4efb\u610f\u4e00\u4e2ax\u7ecf\u8fc7u;\u6709\u552f\u4e00\u786e\u5b9a\u7684y\u503c\u4e0e\u4e4b\u5bf9\u5e94\uff0c\u5219\u53d8\u91cfx\u4e0ey\u4e4b\u95f4\u901a\u8fc7\u53d8\u91cfu\u5f62\u6210\u7684\u4e00\u79cd\u51fd\u6570\u5173\u7cfb\uff0c\u8fd9\u79cd\u51fd\u6570\u79f0\u4e3a\u590d\u5408\u51fd\u6570(compositefunction),\u8bb0\u4e3a\uff1ay=f[U(x)]\uff0c\u5176\u4e2dx\u79f0\u4e3a\u81ea\u53d8\u91cf\uff0cu\u4e3a\u4e2d\u95f4\u53d8\u91cf\uff0cy\u4e3a\u56e0\u53d8\u91cf(\u5373\u51fd\u6570)\u3002<\/p>\n

\u590d\u5408\u51fd\u6570\u6c42\u5bfc\u7684\u524d\u63d0\uff1a\u590d\u5408\u51fd\u6570\u672c\u8eab\u53ca\u6240\u542b\u51fd\u6570\u90fd\u53ef\u5bfc\u3002<\/p>\n

f'(x)=f'(u)*g'(x)\uff1b<\/p>\n

f'(x)=f'(a)*p'(u)*g'(x)\u3002<\/p>\n

1\u3001\u6c42\uff1a\u51fd\u6570f(x)=(3x+2)^3+3\u7684\u5bfc\u6570<\/p>\n

f'(x)=f'(u)*g'(x)=3(3x+2)^2*3=9(3x+2)^2\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u4e00\u3001\u6881\u5b57\u62c6\u5f00\u5206\u522b\u662f\u4ec0\u4e48\u5b57 \u6881\u5b57\u62c6\u5f00\u5206\u522b\u662f\u6c35\u5b57(\u8bfb\u97f3\u4e3ashui\u4e09\u58f0)\u548c\u5205\u5b57(\u8bfb\u97f3\u4e3achuang\u4e00\u58f0)\u4ee5\u53ca\u6728\u5b57\uff0c\u56e0\u6b64\u6881\u5b57\u662f\u7531\u8fd9\u4e09\u4e2a\u6c49\u5b57\u6240\u7ec4\u6210\u7684\uff0c\u5176\u4e3a\u4e0a\u4e0b\u7ed3\u6784\uff0c\u6728\u5b57\u90e8\u9996\uff0c \u4e8c\u3001\u9e66\u9e49\u87bai-mu\u97f3\u7bb1\u600e\u6837\u62c6\u5f00 \u770b\u5916\u5f62\uff0c\u8981\u4e48\u662f\u80f6\u7c98\u7684\u65e0\u6cd5\u6253\u5f00\uff0c\u8981\u4e0d\u5c31\u662f\u540e\u9762…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"topic":[],"_links":{"self":[{"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/posts\/108295"}],"collection":[{"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/comments?post=108295"}],"version-history":[{"count":1,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/posts\/108295\/revisions"}],"predecessor-version":[{"id":108296,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/posts\/108295\/revisions\/108296"}],"wp:attachment":[{"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/media?parent=108295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/categories?post=108295"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/tags?post=108295"},{"taxonomy":"topic","embeddable":true,"href":"http:\/\/stmu.1000uc.com\/mu\/wp-json\/wp\/v2\/topic?post=108295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}