{"id":2442,"date":"2024-09-15T20:48:58","date_gmt":"2024-09-15T12:48:58","guid":{"rendered":"http:\/\/www.jiaohuweike.online\/?p=2442"},"modified":"2024-09-15T20:48:58","modified_gmt":"2024-09-15T12:48:58","slug":"hsyldwt-5-4-2-3-2-2","status":"publish","type":"post","link":"http:\/\/jhwk.online\/?p=2442","title":{"rendered":"\u51fd\u6570\u96f6\u70b9"},"content":{"rendered":"\n<div class=\"wp-block-stackable-spacer stk-block-spacer stk--no-padding stk-block stk-5632cd2\" data-block-id=\"5632cd2\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\">\u96f6\u70b9\u4e2a\u6570<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1.\u51fd\u6570  f(x)  \u662f  \\mathbf{R}  \u4e0a\u6700\u5c0f\u6b63\u5468\u671f\u4e3a 2 \u7684\u5468\u671f\u51fd\u6570, \u5f53  0 \\leqslant x&lt;2  \u65f6,  f(x)=x^{2}-x , \u6c42\u51fd\u6570~~~~~\\\\  y=f(x)  \u7684\u56fe\u8c61\u5728\u533a\u95f4  [-3,3]  \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-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a7\uff1b\u63d0\u793a\uff1a\u753b\u56fe\uff0c\u6ce8\u610f\u7aef\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>2.\uff08\u591a\u9009\uff09\u5df2\u77e5\u51fd\u6570  f(x)=x|x-a|-2  \u6709\u4e09\u4e2a\u4e0d\u540c\u7684\u96f6\u70b9\uff0c\u5219\u5b9e\u6570  a  \u7684\u53d6\u503c\u53ef\u4ee5\u4e3a  (~~) \n\\\\\nA. 0~~\nB.  2 \\sqrt{2} ~~\nC. 3~~\nD. 4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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\uff1aCD\uff1b\u63d0\u793a\uff1a\u5c06 f(x)=x|x-a|-2=0\u8f6c\u5316\u4e3a|x-a|=\\frac{2}{x}.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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)=\\left\\{\\begin{array}{l}\\ln x-\\displaystyle\\frac{1}{x}, x&gt;0, \\\\ x^{2}+2 x, x \\leqslant 0,\\end{array}\\right.  \u5219\u51fd\u6570  y=f[f(x)+1]  \u7684\u96f6\u70b9\u4e2a\u6570\u662f  (~~)~~~~~~~~~~~~~~ \\\\\nA. 2~~\nB. 3~~\nC. 4~~\nD. 5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/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\uff1aD\uff1b\u63d0\u793a\uff1a\u6b64\u9898\u4e3a\u5d4c\u5957\u51fd\u6570\u96f6\u70b9\u95ee\u9898\uff0c\u901a\u8fc7\u753b\u56fe\u53ef\u77e5f(t)=0\u6709\u4e09\u4e2a\u6839\uff0c~~~~~~~~~~~\\\\t_1=-2,t_2=0,t_3\\in (1,2),\u7ee7\u7eed\u6c42t=f(x)+1\u7684\u96f6\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>4. \u5df2\u77e5\u51fd\u6570  f(x)=\\left\\{\\begin{array}{l}\\displaystyle\\frac{1}{2^{x}}+1(x&gt;0) \\\\ 2 x^{2}+4 x+2(x \\leq 0)\\end{array}\\right. , \u82e5\u51fd\u6570  g(x)=f(f(x)-m)-2 , \u5f53  g(x)  ~~~~\\\\\u6070\u6709 3 \u4e2a\u96f6\u70b9\u65f6, \u6c42  m  \u767d\u53d6\u503c\u8303\u56f4 .  \\qquad ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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-60b6260\" data-block-id=\"60b6260\"><style>.stk-60b6260{margin-bottom:40px !important}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-60b6260-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-65ab3cc\" data-v=\"4\" data-block-id=\"65ab3cc\"><style>@media screen and (min-width:690px){.stk-65ab3cc{flex:var(--stk-flex-grow,1) 1 calc(54.4\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a(1,3]\\cup \\left \\{ 4 \\right \\} \uff1b\u63d0\u793a\uff1a\u4ee4t=f(x)-m,~~~\\\\f(t)=2\\Rightarrow  t_1=-2,t_2=0.\\therefore f(x)=m-2\\\\\u548cf(x)=m\u5171\u67093\u4e2a\u89e3\uff0c\u7531\u56fe\u53ef\u77e5\uff0c~~~~~~~~~~~\\\\m\\in(1,3]\\cup \\left \\{ 4 \\right \\} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-bc6b56b\" data-v=\"4\" data-block-id=\"bc6b56b\"><style>@media screen and (min-width:690px){.stk-bc6b56b{flex:var(--stk-flex-grow,1) 1 calc(45.599999999999994\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2024\/09\/%E5%9B%BE%E7%89%87ll1-3.png\" alt=\"\" class=\"wp-image-2804\"\/><\/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<h4 class=\"wp-block-heading\">\u96f6\u70b9\u7684\u8fd0\u7b97<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1.\u5b9a\u4e49\u5728  \\mathbf{R}  \u4e0a\u7684\u51fd\u6570  f(x)  \u6ee1\u8db3  f(-x)+f(x)=0, f(-x)=f(x+2) , \u4e14\u5f53  x \\in[0,1]  \u65f6,  ~~~~\\\\f(x)=x^{3}-x^{2}+x , \u5219\u65b9\u7a0b  4 f(x)-x+2=0  \u6240\u6709\u7684\u6839\u4e4b\u548c\u4e3a  (\\quad) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\nA. 6~~\nB. 12~~\nC. 14~~\nD. 10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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\uff1aD\uff1b\u63d0\u793a\uff1af(x)\u4e3a\u5947\u51fd\u6570\uff0c\u5bf9\u79f0\u4e2d\u5fc3(1,0),\\Rightarrow (2,0)\u4e5f\u662f\u5bf9\u79f0\u4e2d\u5fc3\u3002 ~~~~~~~~~~~~~~~~~~~~\\\\4 f(x)-x+2=0 \\Rightarrow f(x)=\\frac{1}{4}(x-2),\u4e24\u8fb9\u90fd\u5173\u4e8e(2,0)\u5bf9\u79f0\uff0c\u4ea4\u70b9\u51715\u4e2a\uff0c\u548c\u4e3a10.~~~~~<\/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\u6570  f(x)=\\sin \\pi x+\\frac{1}{x-1} , \u5219  y=f(x)  \u7684\u56fe\u8c61\u5728  (-2,4)  \u5185\u7684\u96f6\u70b9\u4e4b\u548c\u4e3a  (\\quad) ~~~~~~~\\\\\nA. 2~~\nB. 4~~\nC. 6~~\nD. 8~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/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\uff1aB\uff1b\u63d0\u793a\uff1af(x)=\\sin \\pi x+\\frac{1}{x-1}=0,\\Rightarrow \\sin \\pi x=-\\frac{1}{x-1},\u4e24\u8fb9\u51fd\u6570\u90fd\u6709\u5bf9\u79f0~\\\\\u4e2d\u5fc3(1,0)\uff0c\u4ea4\u70b9\u51714\u4e2a.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>\u96f6\u70b9\u5224\u5b9a\u3001\u96f6\u70b9\u4e2a\u6570\u3001\u96f6\u70b9\u4e4b\u548c<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2442","post","type-post","status-publish","format-standard","hentry","category-hanshu"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/2442","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=2442"}],"version-history":[{"count":0,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/2442\/revisions"}],"wp:attachment":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2442"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2442"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2442"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}