{"id":1384,"date":"2024-04-04T07:55:23","date_gmt":"2024-04-03T23:55:23","guid":{"rendered":"http:\/\/jiaohuweike.online\/?p=1384"},"modified":"2024-04-04T07:55:23","modified_gmt":"2024-04-03T23:55:23","slug":"renyicunzai1","status":"publish","type":"post","link":"http:\/\/jhwk.online\/?p=1384","title":{"rendered":"\u4efb\u610f\u4e0e\u5b58\u5728\u91cf\u8bcd\u7684\u5e94\u7528"},"content":{"rendered":"\n<div class=\"wp-block-stackable-spacer stk-block-spacer stk--no-padding stk-block stk-711932c\" data-block-id=\"711932c\"><\/div>\n\n\n\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-fa21366\" id=\"\u9898\u76ee\" data-block-id=\"fa21366\"><h4 class=\"stk-block-heading__text\">\u9898\u76ee<\/h4><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1.\u8bbe\u66f2\u7ebff(x)=-e^x-x\u4e0a\u4efb\u610f\u4e00\u70b9\u5904\u7684\u5207\u7ebf\u4e3al_1,\u603b\u5b58\u5728\u66f2\u7ebfg(x)=3ax+2\\cos x\u4e0a~~\\\\\u67d0\u70b9\u5904\u7684\u5207\u7ebfl_2,\u4f7f\u5f97l_1\\bot l_2,\u6c42\u5b9e\u6570a\u7684\u53d6\u503c\u8303\u56f4\u3002~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-119fedc\" data-block-id=\"119fedc\"><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-241f44c\" data-block-id=\"241f44c\"><style>.stk-241f44c .stk-button{border-top-left-radius:11px !important;border-top-right-radius:11px !important;border-bottom-right-radius:11px !important;border-bottom-left-radius:11px !important}.stk-241f44c .stk-button:before{box-shadow:0 0 0 2px rgba(120,120,120,0.1) !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E4%BB%BB%E6%84%8F%E4%B8%8E%E5%AD%98%E5%9C%A8%E9%87%8F%E8%AF%8D%E7%9A%84%E5%BA%94%E7%94%A8\/HTML5\/test.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>2.\u5df2\u77e5\u51fd\u6570f(x)=x+\\frac{4}{x} ,g(x)=\\frac{1}{2} x^2-lnx+a,\u82e5\\exists x_1,x_2\\in [1,2],\u4f7f\u5f97f(x_1)=~~~~~~~~~~~~\\\\g(x_2),\u6c42\u5b9e\u6570a\u7684\u53d6\u503c\u8303\u56f4\u3002~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>2+\\ln 2\\le a\\le\\frac{9}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\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>3.\u5df2\u77e5\u51fd\u6570f(x)=x+\\frac{4}{x} ,g(x)=\\frac{1}{2} x^2-lnx+a,\u82e5\\forall  x_1\\in [1,2],\\exists x_2\\in [1,2],\u4f7f\u5f97~~~~~~~~~~~\\\\f(x_1)=g(x_2),\u6c42\u5b9e\u6570a\u7684\u53d6\u503c\u8303\u56f4\u3002~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>3+\\ln 2\\le a\\le\\frac{7}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\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.b_m=(m-3)^2+\\lambda ^2,C_n=n\\lambda (\\frac{2}{3})^{n-1}\uff0c\u5176\u4e2d\\lambda &gt;0,\u82e5\u5bf9\\forall m,n\\in N^*,\u603b\u6709b_m-c_n&gt;\\frac{7}{3} ~\\\\\u6210\u7acb\uff0c\u6c42\\lambda \u7684\u53d6\u503c\u8303\u56f4\u3002~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>\\lambda &gt;\\frac{7}{3}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-38fe971\" data-block-id=\"38fe971\"><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-cd579de\" data-block-id=\"cd579de\"><style>.stk-cd579de .stk-button{border-top-left-radius:11px !important;border-top-right-radius:11px !important;border-bottom-right-radius:11px !important;border-bottom-left-radius:11px !important}.stk-cd579de .stk-button:before{box-shadow:0 0 0 2px rgba(120,120,120,0.1) !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E4%BB%BB%E6%84%8F%E4%B8%8E%E5%AD%98%E5%9C%A8%E9%87%8F%E8%AF%8D%E7%9A%84%E5%BA%94%E7%94%A82\/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>\u7ec3\u4e60\uff1a\u5df2\u77e5f(x)=\\frac{1}{2}x^2+x,g(x)\\ln (x+1)-a.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(1)\u82e5\\exist x_0\\in[0,2],\u4f7f\u5f97f(x_0)&gt;g(x_0)\u6210\u7acb\uff0c\u6c42\u5b9e\u6570a\u7684\u53d6\u503c\u8303\u56f4\uff1b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(2)\u5bf9\\forall x_1,x_2\\in [0,2],\u6052\u6709f(x_1)&gt;g(x_2),\u6c42\u5b9e\u6570a\u7684\u53d6\u503c\u8303\u56f4\uff1b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(3)\u5bf9\\forall x_2\\in [0,2],\\exist x_1\\in[0,2]f(x_1)&gt;g(x_2),\u6c42\u5b9e\u6570a\u7684\u53d6\u503c\u8303\u56f4\uff1b~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>(1)\u7b54\u6848\uff1aa&gt;\\ln 3-4\uff1b\u63d0\u793a\uff1af(x)-g(x)&gt;0\u5728[0,2]\u4e0a\u6709\u89e3.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(2)\u7b54\u6848\uff1aa&gt;\\ln 3\uff1b\u63d0\u793a\uff1af(x)_{min}&gt;g(x)_{max}.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(3)\u7b54\u6848\uff1aa&gt;\\ln 3-4\uff1b\u63d0\u793a\uff1af(x)_{max}&gt;g(x)_{max}.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\<\/pre><\/div>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>\u5b58\u5728\u4e0e\u5b58\u5728\uff0c\u4efb\u610f\u4e0e\u5b58\u5728\uff0c\u4efb\u610f\u4e0e\u4efb\u610f<\/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":[18],"class_list":["post-1384","post","type-post","status-publish","format-standard","hentry","category-4","tag-18"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/1384","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=1384"}],"version-history":[{"count":0,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/1384\/revisions"}],"wp:attachment":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1384"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1384"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1384"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}