{"id":3082,"date":"2015-11-15T19:23:22","date_gmt":"2015-11-15T11:23:22","guid":{"rendered":"http:\/\/blog.qdac.cc\/?p=3082"},"modified":"2015-11-15T19:23:22","modified_gmt":"2015-11-15T11:23:22","slug":"%e3%80%90%e9%9a%8f%e7%ac%94%e3%80%91%e4%bb%80%e4%b9%88%e6%98%af%e5%87%bd%e6%95%b0%ef%bc%9f","status":"publish","type":"post","link":"https:\/\/blog.qdac.cc\/?p=3082","title":{"rendered":"\u3010\u968f\u7b14\u3011\u4ec0\u4e48\u662f\u51fd\u6570\uff1f"},"content":{"rendered":"

\u5728\u6570\u5b66\u4e2d\uff0c\u51fd\u6570\u901a\u5e38\u7528\u5f0f\u5b50 y=f(x) \u6765\u8868\u793a\u3002f \u662f\u82f1\u8bed\u5355\u8bcd function\u4e2d\u7684f , \u662f\u201c\u529f\u80fd\u201d\u6216\u8005\u201c\u4f5c\u7528\u201d\u7684\u610f\u601d\u3002 \u8bf4\u767d\u4e86\u5c31\u662f\u4f7f\u7528f\u7ed9x\u65bd\u52a0\u67d0\u79cd\u89c4\u5219\u6216\u5173\u7cfb\uff0c\u8fdb\u800c\u63a8\u5bfc\u51fay\u3002<\/p>\n

\u51fd\u6570\u53ef\u4ee5\u7528\u6765\u8868\u793a\u201c\u56e0\u679c\u201d\uff0c\u8868\u793a\u201c\u53d8\u5316\u201d\u89c4\u5219\u3002<\/p>\n

\u6bd4\u5982\u628a x \u5f53\u4f5c\u6bcd\u9e21\uff0cf(x)\u53ef\u80fd\u51fa\u6765\u7684\u5c31\u662f\u5c0f\u9e21\u9e21\u4e86\u3002\u5f53\u7136\u4e86\uff0c\u4e0d\u540c\u7684f\u4f1a\u6709\u4e0d\u540c\u7684\u7ed3\u679c\uff0c\u8bf4\u4e0d\u5b9a\u7ed3\u679c\u662f\u4e2a\u9e21\u86cb\u5462\u3002<\/p>\n

\u6211\u4eec\u751f\u6d3b\u4e2d\u5230\u5904\u90fd\u6709\u51fd\u6570\uff0c\u58f0\u901f\u548c\u6c14\u6e29\u7684\u5173\u7cfb\uff0c\u5c71\u9ad8\u548c\u6c14\u6e29\u7684\u5173\u7cfb\uff0c\u5956\u91d1\u548c\u8425\u4e1a\u989d\u7684\u5173\u7cfb\uff0c\u5404\u79cd\u8ba1\u6570\u5355\u4f4d\u7684\u8f6c\u6362\u89c4\u5219\u7b49\u7b49\u3002<\/p>\n

\u8ba1\u7b97\u673a\u91c7\u7528\u4e8c\u8fdb\u5236\u6cd5\uff080\uff0c1\uff09\u5904\u7406\u540e\u7684\u4fe1\u606f\uff0cx\u6bd4\u7279\u6240\u8868\u793a\u7684\u4fe1\u606f\u91cf\u4e3ay\uff0c\u5219 y = b(x) = 2x<\/sup> \uff0c \u753b\u6210\u56fe\u5f62\u7684\u8bdd\uff0c\u5c31\u662f\u6307\u6570\u51fd\u6570\u3002<\/p>\n

\"\"<\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n

\u5728\u753b\u56fe\u65f6\uff0c\u4e5f\u5b58\u5728\u5373\u4e0d\u80fd\u7528\u76f4\u7ebf\u4e5f\u4e0d\u80fd\u7528\u7279\u5b9a\u5f62\u72b6\u7684\u66f2\u7ebf\u6765\u8868\u793a\u7684\u51fd\u6570\u3002\u6bd4\u4e86\u80a1\u7968\u8d70\u52bf\u56fe\u3002<\/p>\n

 <\/p>\n

\u51fd\u6570\u7ec4\u5408\u5728\u4e00\u8d77\u4e4b\u540e\u79f0\u4e3a\u201c\u590d\u5408\u51fd\u6570<\/strong>\u201d\u3002 \u6211\u4eec\u80fd\u591f\u901a\u8fc7\u590d\u5408\u51fd\u6570\u5c06\u56e0\u679c\u5173\u7cfb\u6269\u5c55\u5230\u66f4\u5e7f\u9614\u7684\u8303\u56f4\u3002<\/p>\n

x\u00a0 –> [ f ] –> f(x) –> [ g ] — g(f(x))<\/p>\n

g(f(x)) \u5373 f \u548c g \u7684\u590d\u5408\u51fd\u6570\u3002<\/p>\n

 <\/p>\n

\u751f\u6d3b\u4e2d\u4e5f\u4f1a\u7528\u5f97\u5230\u7684\u51fd\u6570<\/p>\n

\u67d0\u996e\u6599\u751f\u4ea7\u5927\u6237S\u516c\u53f8\uff0c\u5176\u8463\u4e8b\u4e3a\u4e86\u63d0\u9ad8\u8be5\u516c\u53f8\u7545\u9500\u5546\u54c1\u7684\u5229\u6da6\uff0c\u662f\u8981\u589e\u52a0\u8fd8\u662f\u51cf\u5c11\u5e7f\u544a\u64ad\u51fa\u65f6\u95f4\u5462\uff1f\u00a0 \u8be5\u516c\u53f8\u6bcf\u4e2a\u6708\u7535\u89c6\u5e7f\u544a\u64ad\u653e\u65f6\u95f4\u8bbe\u4e3a x \u5c0f\u65f6\uff0c x \u5c0f\u65f6\u7684\u5e7f\u544a\u6240\u5e26\u6765\u7684\u5546\u54c1\u9500\u552e\u989d\u7684\u5229\u6da6\u53ef\u4ee5\u8868\u793a\u4e3a f(x) = 20\u221ax \u5143<\/strong>\u3002 \u73b0\u5728\uff0cS\u516c\u53f8\u4e00\u4e2a\u6708\u7d2f\u8ba1\u64ad\u653e\u5e7f\u544a4\u5c0f\u65f6\u3002<\/p>\n

\u7531\u6b64\u53ef\u77e5\uff0c f(4) = 20\u221a4 = 40 \u4ebf\u5143\uff0c \u5373\u6bcf\u67084\u5c0f\u65f6\u5e7f\u544a\u5e26\u6765\u4e8640\u4ebf\u5143\u7684\u5229\u6da6\u3002 \u8fd9\u91cc\uff0c\u4f9d\u7167\u5e7f\u544a\u64ad\u653e\u5408\u7ea6\uff0c \u6bcf\u5206\u949f1000\u4e07\u5143<\/strong>\u3002<\/p>\n

\u4e0a\u9762\u8fd9\u4e2a\u95ee\u9898\uff0c\u770b\u8d77\u6765\u4e0d\u80fd\u901a\u8fc7\u7b80\u5355\u7684\u8ba1\u7b97\u5f97\u5230\u7b54\u6848\u4e86\u5427\uff1f<\/p>\n

\u5047\u8bbe\u4ee5\u5f53\u524d\u7684\u5e7f\u544a\u64ad\u653e\u65f6\u95f4\u3001\u5229\u6da6\u4f5c\u4e3a\u4e00\u4e2a\u70b9y\uff0c \u5e7f\u544a\u65f6\u95f4\u4e3ax,\u00a0 \u90a3\u4e48\u8981\u589e\u52a0\u9500\u552e\u989d\u5229\u6da6\uff0c\u5230\u5e95\u662f\u8981\u589e\u52a0x , \u8fd8\u662f\u51cf\u5c11 x\u5462\uff1f<\/p>\n

y = f(x)<\/p>\n

f(4) = 40\u4ebf\u5143 , <\/strong><\/p>\n

\u5047\u8bbe e \u662f\u6211\u4eec\u9700\u8981\u589e\u51cf\u65f6\u95f4\uff0c\u5229\u6da6\u7684\u53d8\u5316\u4e3a g(x)\uff0c \u5219\u4e0b\u5f0f\u6210\u7acb<\/p>\n

 <\/p>\n

(f( 4 + e) – f(4)) \/ e = g(4)<\/p>\n

\u5f53e= 0\u65f6\uff0c\u5b9e\u9645\u4e0a\u5c31\u662f (f(4+0) – f(4) \/ 0 = g(4) = 0;<\/p>\n

\u4e5f\u5c31\u662f\u8bf4\uff0c\u65f6\u95f4\u4e0d\u53d8\u65f6\uff0c\u5229\u6da6\u7684\u53d8\u5316\u4e3a0\u3002<\/p>\n

(f( 4 + e) – f(4)) \/ e \u53ef\u4ee5\u901a\u8fc7\u4e0b\u9762\u7684\u53d8\u5316\u8f6c\u4e3a\u8fd1\u4f3c\u51fd\u6570g(x)\uff1a<\/p>\n

=(20\u221a4+e – 20\u221a4) \/ e<\/p>\n

=(20\u221a4+e – 20 * 2) \/ e<\/p>\n

=20* ( ((( (\u221a4+e)-2) * ( (\u221a4+e)+2) ) \/ e * (( (\u221a4+e)+2 ) )<\/p>\n

=20 \/ ((\u221a4+e) + 2)<\/p>\n

\u5f53e = 0\u65f6\uff0c\u5206\u6bcd ((\u221a4+e) + 2) = 4, \u4e8e\u662f\u6709 20 \/ 4 = 5\u3002<\/p>\n

\u6240\u4ee5\uff0c\u8fd1\u4f3c\u4e00\u6b21\u51fd\u6570\u00a0 g(x) = 5(x-4)+40 = 5x + 20<\/strong><\/p>\n

\u6211\u4eec\u8981\u589e\u52a0\u5229\u6da6\uff0c \u9700\u8981\u6539\u53d8x\u7684\u503c\uff0c \u6539\u53d8\u591a\u5c11\uff1f \u5982\u679cx\u53d8\u5316\u5f97\u592a\u5927\uff0c \u6bd4\u5982\u50cf1\u5c0f\u65f6\uff0c\u90a3\u4e48 f(x) \u548cg(x)\u5c31\u4f1a\u76f8\u5dee\u751a\u8fdc\uff0c \u8fd9\u6837\u7684\u8fd1\u4f3c\u5c31\u6ca1\u6709\u610f\u4e49\u4e86\u3002\u5b9e\u9645\u4e0a\uff0c\u5373\u4fbf\u662f\u5e7f\u544a\u7684\u64ad\u653e\u65f6\u95f4\u8981\u6709\u6240\u589e\u51cf\uff0c\u90a3\u4e5f\u662f\u5c11\u8bb8\u7684\u4e00\u70b9\u70b9\u65f6\u95f4\u800c\u5df2\u3002<\/p>\n

\u6bd4\u65b9\u8bf4\uff0c\u8003\u8651\u589e\u51cf6\u5206\u949f\uff080.1\u5c0f\u65f6\uff09\uff0c\u8fd9\u79cd\u53d8\u5316\u7a0b\u5ea6\u6bd4\u8f83\u5c0f\u7684\u60c5\u51b5\u4e0b\uff0c\u8bef\u5dee\u7387\u4e5f\u4f1a\u6bd4\u8f83\u5c0f\uff0c\u90a3\u4e48\u8fd9\u4e2a\u8fd1\u62df\u624d\u4f1a\u6709\u6548\u3002<\/p>\n

g(x) \u4e2dx\u7684\u7cfb\u6570\u4e3a5\uff0c \u8868\u793a\u64ad\u653e\u65f6\u957f\u6bcf\u589e\u52a01\u5c0f\u65f6\uff0c\u5c31\u4f1a\u5e26\u67655\u4ebf\u5143\u7684\u6536\u5165\uff0c\u6240\u4ee5\u4ec5\u589e\u52a06\u5206\u949f\u7684\u8bdd\uff0c\u5c31\u4f1a\u5e26\u67650.5\u4ebf\u6765\u7684\u6536\u5165\u3002\u540c\u65f6\uff0c\u5e7f\u544a\u65f6\u95f46\u5206\u949f\u9700\u89816 * 0.1 = 0.6\u4ebf\u5143\u5e7f\u544a\u8d39\u3002<\/p>\n

\u53cd\u8fc7\u6765\u8bf4\uff0c\u5c11\u64ad\u653e6\u5206\u949f\u5e7f\u544a\uff0c\u5c31\u635f\u5931\u7ea60.5\u4ebf\u5143\u5229\u6da6\uff0c \u4f46\u53ef\u4ee5\u5c11\u652f\u4ed80.6\u4ebf\u5143\u5e7f\u544a\u8d39\u3002\u8fd9\u4e48\u8bf4\u6765…<\/p>\n

\u7b54\u6848\u5c31\u662f\u3002\u3002\u3002<\/p>\n

\u505a\u51fa\u4e86\u51cf\u5c11\u5e7f\u544a\u64ad\u653e\u65f6\u95f4\u7684\u51b3\u5b9a\uff01<\/p>\n

 <\/p>\n

\u5b9e\u9645\u4e0a\uff0c\u4e0a\u9762\u4f8b\u5b50\u4e2d\u7684\u4e1c\u897f\u5df2\u7ecf\u662f\u5fae\u79ef\u5206\u4e2d\u7684\u73a9\u610f\u4e86\uff0c\u6709\u70b9\u590d\u6742\u3002\u3002\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

\u5728\u6570\u5b66\u4e2d\uff0c\u51fd\u6570\u901a\u5e38\u7528\u5f0f\u5b50 y=f(x) […]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[8],"tags":[],"class_list":["post-3082","post","type-post","status-publish","format-standard","hentry","category-delphi"],"views":2937,"_links":{"self":[{"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=\/wp\/v2\/posts\/3082","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3082"}],"version-history":[{"count":1,"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=\/wp\/v2\/posts\/3082\/revisions"}],"predecessor-version":[{"id":3085,"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=\/wp\/v2\/posts\/3082\/revisions\/3085"}],"wp:attachment":[{"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3082"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3082"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.qdac.cc\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3082"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}