{"id":1533,"date":"2024-06-20T09:10:17","date_gmt":"2024-06-20T01:10:17","guid":{"rendered":"http:\/\/jiaohuweike.online\/?p=1533"},"modified":"2024-06-20T09:10:17","modified_gmt":"2024-06-20T01:10:17","slug":"%e6%a0%b9%e6%8d%ae%e5%8d%95%e8%b0%83%e6%80%a7%e3%80%81%e6%9e%81%e5%80%bc%e6%b1%82%e5%8f%82%e6%95%b0%e8%8c%83%e5%9b%b4","status":"publish","type":"post","link":"http:\/\/jhwk.online\/?p=1533","title":{"rendered":"\u51fd\u6570\u5355\u8c03\u6027\u3001\u6781\u503c\u3001\u6700\u503c"},"content":{"rendered":"\n<div class=\"wp-block-stackable-spacer stk-block-spacer stk--no-padding stk-block stk-3f8a49f\" data-block-id=\"3f8a49f\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u6781\u503c\u3001\u6700\u503c\u3001\u96f6\u70b9<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1.\u8bbe\u51fd\u6570f(x)=kx^3-3x+1.\u82e5\u5bf9\u4efb\u610fx\\in [-1,1],\u90fd\u6709f(x)\\ge 0,\u6c42\u5b9e\u6570k\u7684\u8303\u56f4.~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a4;\u63d0\u793a\uff1akx^3-3x+1\\ge 0,x\\in[-1,1].\u5bf9x\\in[-1,0),x=0,x\\in(0,1]\u8ba8\u8bba.~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>2.\u5df2\u77e5\u51fd\u6570f(x)=\\left\\{\\begin{matrix}\nx^2+2,x&lt;0 \\\\\ne^x,x\\ge 0\n\\end{matrix}\\right.,\u5bf9\\forall x\\in R,f(x)\\ge ax\u6052\u6210\u7acb\uff0c\u6c42a\u7684\u53d6\u503c\u8303\u56f4.~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a-2\\sqrt{2}\\le a\\le e;\u6cd5\u4e00\u3001\u6570\u5f62\u7ed3\u5408\uff1b\u6cd5\u4e8c\u3001\u5206\u79bba.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>3.\u5df2\u77e5\u51fd\u6570  f(x)=x(x+c)^{2} ,\u5728x=2  \u65f6\u6709\u6781\u5927\u503c\uff0c\u6c42 f(x)  \u7684\u6781\u5927\u503c\u4e3a.~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a32\uff1b\u63d0\u793a\uff1ac=-6\u6216c=-2(\u820d).~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-1d2b20e\" data-block-id=\"1d2b20e\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-button-group\">\n<div class=\"wp-block-stackable-button stk-block-button stk-block stk-28c27af\" data-block-id=\"28c27af\"><style>.stk-28c27af{border-top-left-radius:13px !important;border-top-right-radius:13px !important;border-bottom-right-radius:13px !important;border-bottom-left-radius:13px !important;overflow:hidden !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E5%87%BD%E6%95%B0%E5%8D%95%E8%B0%83%E6%80%A7%E3%80%81%E6%9E%81%EF%BC%88%E6%9C%80%EF%BC%89%E5%80%BC-1\/HTML5\/practice.html\" target=\"_blank\" rel=\"noreferrer noopener\"><span class=\"stk-button__inner-text\">\u89c2\u770b\u5fae\u8bfe<\/span><\/a><\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>4.\u82e5\u51fd\u6570  f(x)=\\frac{1}{2} x^{2}-a x+\\ln x  \u5728  (0,2)  \u4e0a\u6709\u6781\u503c, \u6c42\u5b9e\u6570  a  \u7684\u53d6\u503c\u8303\u56f4.~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1aa&gt;2;\u63d0\u793a\uff1a\u7531{f}'(x) =x-a+\\frac{1}{x}=0,\u5f97a=x+\\frac{1}{x},\u89c2\u5bdf\u4ea4\u70b9.~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>5.\u5df2\u77e5\u51fd\u6570  f(x)=(x-1) \\mathrm{e}^{x}+a x^{2}  \u7684\u6700\u5c0f\u503c\u4e3a -1 , \u6c42\u5b9e\u6570  a  \u7684\u53d6\u503c\u8303\u56f4.~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1aa\\ge0;\u63d0\u793a\uff1af(0)=-1,f(x)\u53ea\u80fd\u5728x=0\u5904\u53d6\u6781\u5c0f\u503c.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>6.\u6c42\u51fd\u6570  f(x)=\\sin x \\cos x-2 \\sin x+x\u5728[0,\\pi]\u4e0a\u7684\u96f6\u70b9\u4e2a\u6570.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-57a7f7a\" data-block-id=\"57a7f7a\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-57a7f7a-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-cad8d60\" data-v=\"4\" data-block-id=\"cad8d60\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-cad8d60-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-cad8d60-inner-blocks\">\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a2\u4e2a\uff1b\u63d0\u793a\uff1a\u6c42\u5bfc\uff0c\u753b\u56fe.<\/pre><\/div>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-2aabe10\" data-v=\"4\" data-block-id=\"2aabe10\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-2aabe10-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-2aabe10-inner-blocks\">\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"http:\/\/www.jiaohuweike.online\/wp-content\/uploads\/2024\/06\/\u5c4f\u5e55\u622a\u56fe-2024-06-20-095710.png\" alt=\"\" class=\"wp-image-1896\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-e51db72\" data-block-id=\"e51db72\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-button-group\">\n<div class=\"wp-block-stackable-button stk-block-button stk-block stk-f13cad6\" data-block-id=\"f13cad6\"><style>.stk-f13cad6{border-top-left-radius:13px !important;border-top-right-radius:13px !important;border-bottom-right-radius:13px !important;border-bottom-left-radius:13px !important;overflow:hidden !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E5%87%BD%E6%95%B0%E5%8D%95%E8%B0%83%E6%80%A7%E3%80%81%E6%9E%81%EF%BC%88%E6%9C%80%EF%BC%89%E5%80%BC-2\/HTML5\/practice.html\" target=\"_blank\" rel=\"noreferrer noopener\"><span class=\"stk-button__inner-text\">\u89c2\u770b\u5fae\u8bfe<\/span><\/a><\/div>\n<\/div><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n\n\n\n<div class=\"wp-block-stackable-spacer stk-block-spacer stk--no-padding stk-block stk-9f6a733\" data-block-id=\"9f6a733\"><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>7. \u5df2\u77e5\u51fd\u6570  f(x)=a x^{2}+x+\\frac{1-3 \\ln x}{a}(a&gt;0) .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(1)\u82e5  x=1  \u662f\u51fd\u6570  f(x)  \u7684\u6781\u503c\u70b9, \u6c42  a  \u7684\u503c; ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\(2) \u82e5\u51fd\u6570  f(x)  \u6709\u4e24\u4e2a\u96f6\u70b9, \u6c42  a  \u7684\u53d6\u503c\u8303\u56f4.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n \n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a(1)a=1;(2)(0,\\frac{1}{e}).~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>\u5355\u8c03\u6027\u3001\u6781\uff08\u6700\uff09\u503c\u3001\u53c2\u6570\u8303\u56f4\u95ee\u9898<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[],"class_list":["post-1533","post","type-post","status-publish","format-standard","hentry","category-4"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/1533","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1533"}],"version-history":[{"count":0,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/1533\/revisions"}],"wp:attachment":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1533"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1533"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1533"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}