{"id":3161,"date":"2024-10-22T10:57:08","date_gmt":"2024-10-22T02:57:08","guid":{"rendered":"http:\/\/jhwk.online\/?p=3161"},"modified":"2025-09-21T20:36:23","modified_gmt":"2025-09-21T12:36:23","slug":"hsyldwt-5-3-4-5-2","status":"publish","type":"post","link":"http:\/\/jhwk.online\/?p=3161","title":{"rendered":"\u4e09\u89d2\u51fd\u6570\u7684\u56fe\u8c61\u548c\u6027\u8d28"},"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-ht-block-toc  is-style-outline htoc htoc--position-wide toc-list-style-plain\" data-htoc-state=\"expanded\"><span class=\"htoc__title\"><span class=\"ht_toc_title\">\u76ee\u5f55<\/span><span class=\"htoc__toggle\"><svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"16\" height=\"16\"><g fill=\"#444\"><path d=\"M15 7H1c-.6 0-1 .4-1 1s.4 1 1 1h14c.6 0 1-.4 1-1s-.4-1-1-1z\"><\/path><path d=\"M15 1H1c-.6 0-1 .4-1 1s.4 1 1 1h14c.6 0 1-.4 1-1s-.4-1-1-1zM15 13H1c-.6 0-1 .4-1 1s.4 1 1 1h14c.6 0 1-.4 1-1s-.4-1-1-1z\"><\/path><\/g><\/svg><\/span><\/span><div class=\"htoc__itemswrap\"><ul class=\"ht_toc_list\"><li class=\"\"><a href=\"\/#htoc-11111111111111111111111111\">\u4e09\u89d2\u51fd\u6570\u7684\u56fe\u8c61\u548c\u6027\u8d28<\/a><\/li><li class=\"\"><a href=\"\/#htoc-111111111111111111111111111111111111111\">\u51fd\u6570y=Asin(\u03c9x+\u03c6)\u7684\u56fe\u8c61\u53ca\u5e94\u7528<\/a><\/li><\/ul><\/div><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"htoc-11111111111111111111111111\">\u4e09\u89d2\u51fd\u6570\u7684\u56fe\u8c61\u548c\u6027\u8d28<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1.\u89e3\u4e0b\u5217\u65b9\u7a0b\u548c\u4e0d\u7b49\u5f0f.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(1)\\sin x=0;(2)\\sin x=1;(3)\\cos x \\ge \\frac{1}{2} ;(4)\\tan x \\ge 1;(5)\\sin x\\ge \\cos x.~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d11111\"><pre>\u7b54\u6848\uff1a(1)x=k\\pi,k\\in Z;(2)x=\\frac{\\pi}{2}+2k\\pi,k\\in Z;(3)[-\\frac{\\pi}{3}+2k\\pi,\\frac{\\pi}{3}+2k\\pi],k\\in Z;~~~~~~~~~\\\\(4)[\\frac{\\pi}{4}+k\\pi,\\frac{\\pi}{2}+k\\pi),k\\in Z;(5)[\\frac{\\pi}{4}+2k\\pi,\\frac{5\\pi}{4}+2k\\pi],k\\in Z.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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)=\\sin(2x-\\frac{\\pi }{3}),\u6c42f(x)\u7684\u5468\u671f\u3001\u5bf9\u79f0\u8f74\u3001\u5bf9\u79f0\u4e2d\u5fc3\u3001\u5355\u589e\u533a\u95f4.~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d111111\"><pre>\u7b54\u6848:\u5468\u671fT=\\pi;\u5bf9\u79f0\u8f74x=\\frac{5\\pi}{12}+\\frac{k\\pi}{2},k\\in Z;\u5bf9\u79f0\u4e2d\u5fc3(\\frac{\\pi}{6}+\\frac{k\\pi}{2},0),k\\in Z;~~~~~~~~~~~~~~~~~~\\\\\u5355\u589e\u533a\u95f4[-\\frac{\\pi}{12}+k\\pi,\\frac{5\\pi}{12}+k\\pi],k\\in Z.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>\u53d8\u5f0f.\u5df2\u77e5\u51fd\u6570f(x)=\\sin(-2x+\\frac{\\pi }{3}),\u6c42\u5355\u589e\u533a\u95f4.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-frac-pi-12-k-pi-frac-5-pi-12-k-pi-k-in-z\"><pre>\u7b54\u6848:[\\frac{5\\pi}{12}+k\\pi,\\frac{11\\pi}{12}+k\\pi],k\\in Z;\u63d0\u793a\uff1a\u8f6c\u5316\u4e3af(x)=-\\sin(2x-\\frac{\\pi }{3}).~~~~~~~~~~~~~~~~~~~~~~~~~<\/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.\u4e0b\u5217\u533a\u95f4\u4e2d, \u51fd\u6570  f(x)=7 \\sin \\left(x-\\frac{\\pi}{6}\\right)  \u5355\u8c03\u9012\u589e\u7684\u533a\u95f4\u662f( ~~)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\ \\begin{array}{lll}A.\\left(0, \\displaystyle\\frac{\\pi}{2}\\right) &amp;B.\\left(\\displaystyle\\frac{\\pi}{2}, \\pi\\right) \\quad C.\\left(\\pi, \\displaystyle\\frac{3 \\pi}{2}\\right) &amp;D.\\left(\\displaystyle\\frac{3 \\pi}{2}, 2 \\pi\\right)\\end{array} ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-a-0-x-frac-pi-2-frac-pi-6-x-frac-pi-6-frac-pi-3-f-x-left-0-frac-pi-2-right-a-frac-pi-2-x-pi-frac-pi-3-x-frac-pi-6-frac-5-pi-6-f-x-left-frac-pi-2-pi-right-b\"><pre>\u7b54\u6848: A;\u63d0\u793a\uff1a\u6ce8\u610f\u201c\u5355\u8c03\u9012\u589e\u7684\u533a\u95f4\u201d\u4e0e\u201c\u5355\u8c03\u9012\u589e\u533a\u95f4\u201d\u7684\u533a\u522b,\u4ee3\u5165\u9009\u9879\u9a8c\u8bc1\u5373\u53ef\u3002\\\\\n\u5f53  0 &lt; x &lt; \\frac{\\pi}{2}  \u65f6,  -\\frac{\\pi}{6} &lt; x-\\frac{\\pi}{6} &lt; \\frac{\\pi}{3} , \u6240\u4ee5  f(x)  \u5728  \\left(0, \\frac{\\pi}{2}\\right)  \u4e0a\u5355\u8c03\u9012\u589e, \u6545 A \u6b63\u786e.~~~~~~~~~~~~~~~~\n<\/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.\u8bbe\u51fd\u6570  f(x)=\\cos \\left(\\frac{\\pi}{3}-2 x\\right) , \u5219  f(x)  \u5728  \\left[0, \\frac{\\pi}{2}\\right]  \u4e0a\u7684\u5355\u8c03\u9012\u51cf\u533a\u95f4\u662f  (\\quad) ~~~~~~~~~~~~~~~~~~~~~~~\\\\\nA.  \\left[0, \\frac{\\pi}{6}\\right] ~~\nB.  \\left[0, \\frac{\\pi}{3}\\right] ~~\nC.  \\left[\\frac{\\pi}{3}, \\frac{\\pi}{2}\\right] ~~\nD.  \\left[\\frac{\\pi}{6}, \\frac{\\pi}{2}\\right] ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d-f-x-cos-left-2-x-frac-pi-3-right-2-k-pi-leqslant-2-x-frac-pi-3-leqslant-2-k-pi-pi-k-in-mathbf-z-k-pi-frac-pi-6-leqslant-x-leqslant-k-pi-frac-2-pi-3-k-in-mathbf-z-x-in-left-0-frac-pi-2-right-therefore-left-frac-pi-6-frac-pi-2-right\"><pre>\u7b54\u6848: D;\n\u63d0\u793a\uff1a\u53d8\u5f62\u4e3a  f(x)=\\cos \\left(2 x-\\frac{\\pi}{3}\\right), 2 k \\pi \\leqslant 2 x-\\frac{\\pi}{3} \\leqslant 2 k \\pi+\\pi, k \\in \\mathbf{Z}, ~~~~~~~~~~~~~\\\\k \\pi+\\frac{\\pi}{6} \\leqslant x \\leqslant k \\pi+\\frac{2 \\pi}{3} ,\n k \\in \\mathbf{Z} , \u53c8  x \\in\\left[0, \\frac{\\pi}{2}\\right], \\therefore  \u5355\u8c03\u9012\u51cf\u533a\u95f4\u4e3a  \\left[\\frac{\\pi}{6}, \\frac{\\pi}{2}\\right] .~~~~~~~~~~~~~~~~~~~~~~~\n<\/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  \\omega&gt;0 , \u51fd\u6570  f(x)=\\frac{1}{2} \\cos \\omega x-\\frac{\\sqrt{3}}{2} \\sin (\\pi-\\omega x)  \u5728  \\left(\\frac{\\pi}{3}, \\frac{\\pi}{2}\\right)  \u4e0a\u5355\u8c03\u9012\u589e, \u5219  \\omega  \u7684~~~~~~~\\\\\u53d6\u503c\u8303\u56f4\u662f(~~)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\nA.  [2,6] ~~\nB.  (2,6) ~~\nC.  \\left[2, \\frac{10}{3}\\right] ~~\nD.  \\left(2, \\frac{10}{3}\\right) ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-c-f-x-sin-left-omega-x-frac-5-pi-6-right-f-x-left-frac-pi-3-frac-pi-2-right-left-begin-array-l-2-k-pi-frac-pi-2-leqslant-frac-pi-3-omega-frac-5-pi-6-frac-pi-2-omega-frac-5-pi-6-leqslant-2-k-pi-frac-pi-2-end-array-right-k-in-mathbf-z-6-k-4-leqslant-omega-leqslant-4-k-frac-2-3-2-leqslant-omega-leqslant-frac-10-3\"><pre>\u7b54\u6848 :C;\u63d0\u793a:\u5316\u7b80\u5f97 f(x)=\\cos \\left(\\omega x+\\frac{\\pi}{3}\\right) , \u5355\u589e\u533a\u95f4\u4e3a[\\frac{1}{\\omega}(2k\\pi-\\frac{4\\pi}{3}),\\frac{1}{\\omega}(2k\\pi-\\frac{\\pi}{3})],\\\\\u53c8  f(x)  \u5728  \\left(\\frac{\\pi}{3}, \\frac{\\pi}{2}\\right)  \u4e0a\u5355\u8c03\u9012\u589e,\\therefore \\left(\\frac{\\pi}{3}, \\frac{\\pi}{2}\\right)\u4e3a\u5355\u589e\u533a\u95f4\u7684\u5b50\u96c6\uff0c\\therefore \n  \\left\\{\\begin{array}{l}\\frac{1}{\\omega}(2k\\pi-\\frac{4\\pi}{3}) \\le \\frac{\\pi}{3}, \\\\\\frac{1}{\\omega}(2k\\pi-\\frac{\\pi}{3}) \\ge \\ \\frac{\\pi}{2},\\end{array}\\right. \\\\ \u89e3\u5f97  6 k-4 \\le \\omega \\le 4 k-\\frac{2}{3} , \u6240\u4ee5  2 \\le \\omega \\le \\frac{10}{3} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>\u53d8\u5f0f1.\u5df2\u77e5\u51fd\u6570  f(x)=\\sin \\left(\\omega x+\\frac{\\pi}{6}\\right)(\\omega&gt;0)  \u5728\u533a\u95f4  \\left[-\\frac{\\pi}{4}, \\frac{2 \\pi}{3}\\right]  \u4e0a\u5355\u8c03\u9012\u589e, \u6c42  \\omega  \u7684\u53d6~~~\\\\\u503c\u8303\u56f4.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-daa\"><pre>\u7b54\u6848: 0&lt;\\omega \\leqslant \\frac{1}{2};\n\u65b9\u6cd5\u540c\u4e0a,  \\left\\{\\begin{array}{l}\\omega \\leqslant \\displaystyle\\frac{8}{3}-8 k, k \\in \\mathbf{Z}, \\\\ \\omega \\leqslant \\displaystyle\\frac{1}{2}+3 k, k \\in \\mathbf{Z},\\end{array}\\right.  \u6240\u4ee5  k=0\u65f6  0&lt;\\omega \\leqslant \\frac{1}{2} .\n~~~~~~~~~~~~~~~~~<\/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>\u53d8\u5f0f2.\u5df2\u77e5\u51fd\u6570  f(x)=\\sin \\omega x(\\omega&gt;0)  \u5728\u533a\u95f4  \\left[-\\frac{\\pi}{4}, \\frac{ \\pi}{3}\\right]  \u4e0a\u5355\u8c03\u9012\u589e, \u6c42  \\omega  \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<p class=\"wp-block-paragraph\" id=\"htoc-1\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d\"><pre>\u7b54\u6848:(0,\\frac{3}{2}];\u63d0\u793a: f(x)=\\sin \\omega x\u56fe\u8c61\u8fc7\u539f\u70b9\uff0c\\frac{T}{4}\\ge\\frac{ \\pi}{3},\\Rightarrow \\omega \\le\\frac{3}{2}.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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.\u5df2\u77e5\u51fd\u6570f(x)=\\sin(2x-\\frac{\\pi }{3}+\\varphi )\u4e3a\u5076\u51fd\u6570\uff0c\u6c42\\varphi \u7684\u6700\u5c0f\u6b63\u503c.\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<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d1111111\"><pre>\u7b54\u6848:\\frac{5\\pi }{6} ;\u63d0\u793a:-\\frac{\\pi }{3} +\\varphi =\\frac{\\pi }{2} +k\\pi ,\\varphi \u7684\u6700\u5c0f\u6b63\u503c\u4e3a\\frac{5\\pi }{6} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>\u53d8\u5f0f1.\u5df2\u77e5\u51fd\u6570f(x)=\\sin(2x-\\frac{\\pi }{3}+\\varphi )\u4e3a\u5947\u51fd\u6570\uff0c\u6c42\\varphi \u7684\u6700\u5c0f\u6b63\u503c.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d11111111\"><pre>\u7b54\u6848\uff1a\u7b54\u6848:\\frac{\\pi }{3} ;\u63d0\u793a:-\\frac{\\pi }{3} +\\varphi =k\\pi ,\\varphi \u7684\u6700\u5c0f\u6b63\u503c\u4e3a\\frac{\\pi }{3} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>\u53d8\u5f0f2. \u5c06\u51fd\u6570  y=2 \\sin \\left(2 x+\\frac{\\pi}{3}\\right)  \u7684\u56fe\u50cf\u5de6\u79fb  m(m&gt;0)  \u4e2a\u5355\u4f4d\u540e\u56fe\u8c61\u5173\u4e8ey\u8f74\u5bf9\u79f0,~~~~~~~\\\\\u6c42  m  \u7684\u6700\u5c0f\u503c.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-frac-pi-12-m-y-2-sin-2x-2m-frac-pi-3-because-therefore-2m-frac-pi-3-frac-pi-2-k-pi-therefore-m-frac-pi-12\"><pre>\u7b54\u6848:\\frac{\\pi }{12} ;\u63d0\u793a:\u5e73\u79fbm\u540ey=2\\sin (2x+2m+\\frac{\\pi }{3} ),\\because \u51fd\u6570\u4e3a\u5076\u51fd\u6570\uff0c\\therefore 2m+\\frac{\\pi }{3} ~~~~~~~~~~\\\\=\\frac{\\pi }{2}\n+ k\\pi ,\\therefore m\u6700\u5c0f\u4e3a\\frac{\\pi }{12} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>7.(1)\u6c42\u51fd\u6570y=\\sin x+\\cos x  \u7684\u503c\u57df.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(2)\u6c42\u51fd\u6570  y=\\sin x-\\cos \\left(x+\\frac{\\pi}{6}\\right),x\\in[0,\\pi]  \u7684\u503c\u57df. ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(3)\u6c42\u51fd\u6570  y=\\sin ^{2} x+\\sqrt{3} \\cos x-\\frac{3}{4},x \\in\\left[0, \\frac{\\pi}{2}\\right] \u7684\u503c\u57df.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(4)\u6c42\u51fd\u6570  y=\\sin x-\\cos x+\\sin x \\cos x  \u7684\u503c\u57df.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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<p class=\"wp-block-paragraph\" id=\"htoc-111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-1111111111111111111111111111\"><pre>(1)\u7b54\u6848: [-\\sqrt{2}, \\sqrt{2}] ;\u63d0\u793a:y=\\sqrt{2} \\sin \\left(x+\\frac{\\pi}{4}\\right) ,\\therefore\u503c\u57df\u4e3a  [-\\sqrt{2}, \\sqrt{2}] .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-1-sqrt-2-sqrt-2\"><pre>(2)\u7b54\u6848:   \\left[-\\frac{1}{2}, 1\\right] \n ;\u63d0\u793a:  y=\\sin x-\\cos \\left(x+\\frac{\\pi}{6}\\right)=\\frac{3}{2} \\sin x-\\frac{\\sqrt{3}}{2} \\cos x~~~~~~~~~~~~~~~~~~~~~~~~~\\\\=\\sqrt{3} \\sin \\left(x-\\frac{\\pi}{6}\\right) ,\n x \\in[0, \\pi], x-\\frac{\\pi}{6} \\in\\left[-\\frac{\\pi}{6}, \\frac{5 \\pi}{6}\\right] , \u503c\u57df\u4e3a  \\left[-\\frac{\\sqrt3}{2}, \\sqrt3\\right].~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-11111111111111111111111111111\"><pre>(3) \u7b54\u6848:[\\frac{1}{4},1];\u63d0\u793a:y=-\\cos ^{2} x+\\sqrt{3} \\cos x+\\frac{1}{4} , \u4ee4  \\cos x=t,\u5219t \\in[0,1],~~~~~~~~~~~~~~~~~~~\\\\y=-t^2+\\sqrt{3}t+\\frac{1}{4},\n \\therefore  \u503c\u57df\u4e3a[\\frac{1}{4},1]\n.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-111111111111111111111111111111\"><pre>(4)\u7b54\u6848: \\left[-\\frac{1}{2}-\\sqrt{2}, 1\\right] ;\u63d0\u793a:\u8bbe  t=\\sin x-\\cos x , \u5219  t^{2}=1-2 \\sin x \\cos x, \\sin x \\cos x~~~\\\\=\\frac{1-t^{2}}{2} , \u4e14  -\\sqrt{2} \\leqslant t \\leqslant \\sqrt{2} .\n \\therefore y=-\\frac{t^{2}}{2}+t+\\frac{1}{2},\n \\therefore  \u51fd\u6570\u7684\u503c\u57df\u4e3a  \\left[-\\frac{1}{2}-\\sqrt{2}, 1\\right] .~~~~~~<\/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-spacer stk-block-spacer stk--no-padding stk-block stk-bb22fa3\" data-block-id=\"bb22fa3\"><\/div>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"htoc-111111111111111111111111111111111111111\">\u51fd\u6570y=Asin(\u03c9x+\u03c6)\u7684\u56fe\u8c61\u53ca\u5e94\u7528<\/h4>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>1. \u67d0\u5730\u4e00\u5929  6 \\sim 14  \u65f6\u7684\u6e29\u5ea6\u53d8\u5316\u66f2\u7ebf\u8fd1\u4f3c\u6ee1\u8db3\u51fd\u6570  y=A \\sin (\\omega x+\\varphi)+b(|\\varphi|&lt;\\pi) , \u6c42~~\\\\\u8fd9\u6bb5\u66f2\u7ebf\u7684\u51fd\u6570\u89e3\u6790\u5f0f.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-9132850\" data-block-id=\"9132850\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-9132850-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-4f365ec\" data-v=\"4\" data-block-id=\"4f365ec\"><style>@media screen and (min-width:690px){.stk-4f365ec {flex:var(--stk-flex-grow, 1) 1 calc(66.667\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d111111111\"><pre>\u7b54\u6848\uff1ay=10 \\sin \\left(\\frac{\\pi}{8} x+\\varphi\\right)+20 ;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\u63d0\u793a\uff1a\u5468\u671f  T=16,   A=10, b=20 . \\therefore \\omega=\\frac{\\pi}{8}, ~~~~~~~~~~~~~~\\\\ \\therefore y=10 \\sin \\left(\\frac{\\pi}{8} x+\\varphi\\right)+20,\u53c8\u56fe\u8c61\u7ecf\u8fc7  (6,10),~~~~~~~~~ \\\\\\therefore \\sin \\left(\\frac{3}{4} \\pi+\\varphi\\right)=-1,|\\varphi|&lt;\\pi, \\therefore \\varphi=\\frac{3}{4} \\pi . \\therefore  \u51fd\u6570\u7684~\\\\\u89e3\u6790\u5f0f\u4e3a  y=   10 \\sin \\left(\\frac{\\pi}{8} x+\\frac{3 \\pi}{4}\\right)+20, x \\in[6,14] .~~~~~~~\n<\/pre><\/div>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-ad823a0\" data-v=\"4\" data-block-id=\"ad823a0\"><style>@media screen and (min-width:690px){.stk-ad823a0 {flex:var(--stk-flex-grow, 1) 1 calc(33.333\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"216\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/yt-1.png\" alt=\"\" class=\"wp-image-3885\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\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)=2 \\cos (\\omega x+\\varphi)\\left(\\omega&gt;0,|\\varphi|&lt;\\frac{\\pi}{2}\\right)  \u7684\u90e8\u5206\u56fe\u8c61\u5982\u56fe\u6240\u793a, \u6c42 f\\left(\\frac{\\pi}{2}\\right).~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-fea469f\" data-block-id=\"fea469f\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-fea469f-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-00d14c7\" data-v=\"4\" data-block-id=\"00d14c7\"><style>@media screen and (min-width:690px){.stk-00d14c7 {flex:var(--stk-flex-grow, 1) 1 calc(58.9\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d1111111111\"><pre>\u7b54\u6848:-\\sqrt{3} ;\u63d0\u793a:\u7531\u9898\u56fe\u53ef\u77e5  \\frac{3}{4} T=\\frac{3 \\pi}{4} , ~~~~~~~~~\\\\\u5373  T=\\pi, \\omega=2 , \u6545  f(x)=2 \\cos (2 x+\\varphi) . ~~~~~~~~~~\\\\\u70b9\\left ( \\frac{13 \\pi}{12}, 2  \\right ) \u5728\u56fe\u8c61\u4e0a\uff0c\\Rightarrow \\varphi=-\\frac{\\pi}{6} .~~~~~~~~~~~~~~~\\\\\u6240\u4ee5  f\\left(\\frac{\\pi}{2}\\right)=-\\sqrt{3} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/pre><\/div>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-56b2d16\" data-v=\"4\" data-block-id=\"56b2d16\"><style>@media screen and (min-width:690px){.stk-56b2d16 {flex:var(--stk-flex-grow, 1) 1 calc(41.1\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/yt-2.png\" alt=\"\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\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)=A \\sin (\\omega x+4 \\varphi)\\left(A&gt;0, \\omega&gt;0,0&lt;\\varphi&lt;\\frac{\\pi}{8}\\right)  \u7684\u90e8\u5206\u56fe\u8c61\u5982\u56fe\u6240\u793a, ~~~~\\\\\u6c42\u51fd\u6570\u89e3\u6790\u5f0f.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-908d0a5\" data-block-id=\"908d0a5\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-908d0a5-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-5260b8d\" data-v=\"4\" data-block-id=\"5260b8d\"><style>@media screen and (min-width:690px){.stk-5260b8d {flex:var(--stk-flex-grow, 1) 1 calc(63.7\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d11111111111\"><pre>\u7b54\u6848:f(x)=2 \\sin \\left(\\frac{1}{2} x+\\frac{\\pi}{6}\\right);~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\u63d0\u793a: A=2, T=4 \\pi=\\frac{2 \\pi}{\\omega} , \u89e3\u5f97  \\omega=\\frac{1}{2} , ~~~~~~~~~~~~~~~~~~~\\\\\u6545  f(x)=2 \\sin \\left(\\frac{1}{2} x+4 \\varphi\\right) .\n\u56e0\u4e3a\u56fe\u8c61\u8fc7\u70b9  C(0,1) , \\\\\\therefore  \\sin 4 \\varphi=\\frac{1}{2} , \u4e14\u70b9  (0,1)  \u5728\u5355\u589e\u533a\u95f4\u4e0a,4 \\varphi=\\frac{\\pi}{6}+2 k \\pi, \\\\0&lt;\\varphi&lt;\\frac{\\pi}{8}, 4 \\varphi=\\frac{\\pi}{6}.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-b195617\" data-v=\"4\" data-block-id=\"b195617\"><style>@media screen and (min-width:690px){.stk-b195617 {flex:var(--stk-flex-grow, 1) 1 calc(36.3\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/yt-3.png\" alt=\"\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>4.\u51fd\u6570  f(x)=A \\sin (\\omega x+\\varphi)+b\\left(A&gt;0, \\omega&gt;0,|\\varphi|&lt;\\frac{\\pi}{2}\\right)  \u7684\u90e8\u5206\u56fe\u8c61\u5982\u56fe\u6240\u793a,\u6c42  f\\left(\\frac{\\pi}{2}\\right).\n<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-d1aa093\" data-block-id=\"d1aa093\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-d1aa093-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e65ad04\" data-v=\"4\" data-block-id=\"e65ad04\"><style>@media screen and (min-width:690px){.stk-e65ad04 {flex:var(--stk-flex-grow, 1) 1 66.7\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d111111111111\"><pre>\u7b54\u6848:1-\\sqrt{3} ;\u63d0\u793a: A=2, b=1, \\omega=2 , \u5c06  \\left(-\\frac{\\pi}{4}, 0\\right) \\\\ \u4ee3\u5165\u5f97  \\sin \\left(-\\frac{\\pi}{2}+\\varphi\\right)=-\\frac{1}{2}, \\because \\omega&gt;0,\\left(-\\frac{\\pi}{4}, 0\\right) \n\u5728\u5355\u589e\\\\\u533a\u95f4\u4e0a,  -\\frac{\\pi}{2}+\\varphi=-\\frac{\\pi}{6}+2 k \\pi, k \\in \\mathbf{Z}, \\because|\\varphi|&lt;\\frac{\\pi}{2}, ~~~~~~~~\\\\\\therefore \\varphi=\\frac{\\pi}{3}, \\therefore f(x)=2 \\sin \\left(2 x+\\frac{\\pi}{3}\\right) \n +1, ~~~~~~~~~~~~~~~~~~~~~~~~\\\\\\therefore f\\left(\\frac{\\pi}{2}\\right)=1-\\sqrt{3} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-69120d4\" data-v=\"4\" data-block-id=\"69120d4\"><style>@media screen and (min-width:690px){.stk-69120d4 {flex:var(--stk-flex-grow, 1) 1 33.3\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/yt-4.png\" alt=\"\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>5.\\text { \u51fd\u6570 } f(x)=A \\sin (\\omega x+\\varphi)(\\omega&gt;0,|\\varphi|&lt;\\pi) \\text { \u7684\u90e8\u5206\u56fe\u50cf\u5982\u56fe\u6240\u793a\uff0c }~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-96cf1d3\" data-block-id=\"96cf1d3\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-96cf1d3-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-7ac152f\" data-v=\"4\" data-block-id=\"7ac152f\"><style>@media screen and (min-width:690px){.stk-7ac152f {flex:var(--stk-flex-grow, 1) 1 66.7\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-d1111111111111\"><pre>\u7b54\u6848:f(x)=2 \\sin \\left(2 x+\\frac{\\pi}{6}\\right) ;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\u63d0\u793a:\\frac{T}{2}=\\frac{5 \\pi}{12}-\\left(-\\frac{\\pi}{12}\\right) \\Rightarrow T=\\pi  \uff0c\\Rightarrow  \\omega=2  \uff0c\u5c06\u70b9\\\\  \\left(-\\frac{\\pi}{12}, 0\\right)  \u5e26\u5165\uff0c\u5f97   A \\sin \\left(-\\frac{\\pi}{6}+\\varphi\\right)=0  \uff0c\u5728\u5355\u589e\u533a\u95f4\uff0c\\\\\\Rightarrow   -\\frac{\\pi}{6}+\\varphi=2 k \\pi \uff0c k \\in Z  \uff0c\u53c8  |\\varphi|&lt;\\pi  \uff0c\u5219  \\varphi=\\frac{\\pi}{6}  \uff0c~~\\\\\u5c06\u70b9  (0,1)  \u4ee3\u5165\uff0c\u5f97  A=2  \uff0c\\Rightarrow   f(x)=2 \\sin \\left(2 x+\\frac{\\pi}{6}\\right) .<\/pre><\/div>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-5964bc6\" data-v=\"4\" data-block-id=\"5964bc6\"><style>@media screen and (min-width:690px){.stk-5964bc6 {flex:var(--stk-flex-grow, 1) 1 33.3\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"254\" height=\"167\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/sihs5.jpg\" alt=\"\" class=\"wp-image-3879\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>6.\\text { \u51fd\u6570 } f(x)=A \\sin (\\omega x+\\varphi)\\left(A&gt;0, \\omega&gt;0,|\\varphi|&lt;\\frac{\\pi}{2}\\right) \u7684\u90e8\u5206\u56fe\u8c61\u5982\u56fe\u6240\u793a\uff0c\u6c42\u51fd\u6570~~~\\\\\u89e3\u6790\u5f0f.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-4807df7\" data-block-id=\"4807df7\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-4807df7-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-debd4dd\" data-v=\"4\" data-block-id=\"debd4dd\"><style>@media screen and (min-width:690px){.stk-debd4dd {flex:var(--stk-flex-grow, 1) 1 66.7\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-f-x-2-sin-frac-8-3-x-frac-pi-6-a-2\"><pre>\u7b54\u6848f(x)=2\\sin(\\frac{8}{3}x-\\frac{\\pi}{6});\u63d0\u793a:A=2.\u6839\u636e\u4e0b\u9762\u4e24~~\\\\\u56fe\u7684\u7f29\u653e\u6bd4\u4f8b\u6c42\\omega,\u5de6\u56fe\u4e24\u7ea2\u7ebf\u7684\u8ddd\u79bb\u4e3a\\frac{4\\pi}{3},\u53f3\u51fd\u6570\u8ddd\\\\\u79bb\\frac{\\pi}{2},\u7531\u5de6\u56fe\u53d8\u5230\u53f3\u56fe\u6240\u4e58\u7cfb\u6570\u4e3a\\frac{3}{8},\u6240\u4ee5\\omega\u6240\u4e58\u7cfb\u6570\u4e3a\\\\\\frac{8}{3}\uff0c\u5373\u4e3af(x)=2\\sin(\\frac{8}{3}x+\\varphi)\uff0c\u4ee3\u5165(\\pi,2)\u5f97\\varphi=-\\frac{\\pi}{6}.<\/pre><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" fetchpriority=\"low\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2024\/10\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-10-31-173611.jpg\" alt=\"\" class=\"wp-image-3284\"\/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-b4ab035\" data-v=\"4\" data-block-id=\"b4ab035\"><style>@media screen and (min-width:690px){.stk-b4ab035 {flex:var(--stk-flex-grow, 1) 1 33.3\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/sihs6.jpg\" alt=\"\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/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 \\sin (\\omega x+\\varphi) \\mid(A&gt;0, \\omega&gt;0,0&lt;\\varphi&lt;\\pi)  \u7684\u90e8\u5206\u56fe\u8c61\u5982\u56fe\u6240\u793a, \u4e14~~ \\\\ f\\left(\\frac{13 \\pi}{3}\\right)=2 .\u5c06  f(x)  \u56fe\u8c61\u4e0a\u6240\u6709\u70b9\u7684\u6a2a\u5750\u6807\u53d8\u4e3a\u539f\u6765\u7684  \\frac{1}{4} , \u518d\u5411\u4e0a\u5e73\u79fb 1 \u4e2a\u5355\u4f4d\u957f\u5ea6, \u5f97\\\\\u5230  g(x)  \u7684\u56fe\u8c61. \u82e5  g\\left(x_{1}\\right) g\\left(x_{2}\\right)=9, x_{1}, x_{2} \\in[0,4 \\pi] , \u5219  x_{2}-x_{1}  \u7684\u6700\u5927\u503c\u4e3a (\\quad)~~~~~~~~~~~~~~~~~~~~\\\\\nA.  \\pi \\quad\nB.  2 \\pi \\quad\nC.  3 \\pi \\quad\nD.  4 \\pi ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/pre><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-509c48b\" data-block-id=\"509c48b\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-509c48b-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-b246924\" data-v=\"4\" data-block-id=\"b246924\"><style>@media screen and (min-width:690px){.stk-b246924 {flex:var(--stk-flex-grow, 1) 1 66.7\n<details class=\"wp-block-details is-layout-flow wp-block-details-is-layout-flow\"><summary>\u7b54\u6848<\/summary>\n<p class=\"wp-block-paragraph\" id=\"htoc-11\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-da11111\"><pre>\u7b54\u6848:C;\u63d0\u793a:T=4\\pi,x=\\frac{13 \\pi}{3}\u5728\\frac{7 \\pi}{3}\u540e\u534a\u4e2a\u5468\u671f\uff0c~\\\\\\therefore A=2,\\varphi=\\frac{\\pi}{6},f(x)=2\\sin (\\frac{x}{2}+\\frac{\\pi}{6}),\\Rightarrow~~~~~~~~~~~~~~~~~~~~~\\\\g(x)=2\\sin (2x+\\frac{\\pi}{6})+1,\u53c82x+\\frac{\\pi}{6}\\in[\\frac{\\pi}{6},\\frac{13\\pi}{6}],\u753b\u56fe\\\\\u77e5 2x_{2}-2x_{1}\u6700\u5927\u503c\u4e3a6\\pi,\\therefore x_{2}-x_{1}  \u7684\u6700\u5927\u503c\u4e3a\\pi.~~~~~~~~~<\/pre><\/div>\n<\/details>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-fe255a3\" data-v=\"4\" data-block-id=\"fe255a3\"><style>@media screen and (min-width:690px){.stk-fe255a3 {flex:var(--stk-flex-grow, 1) 1 33.3\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2025\/09\/yt-7.png\" alt=\"\"\/><\/figure>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>8.\u5df2\u77e5\u51fd\u6570  f(x)=\\cos \\omega x-1(\\omega&gt;0)  \u5728\u533a\u95f4  [0,2 \\pi]  \u6709\u4e14\u4ec5\u6709 3 \u4e2a\u96f6\u70b9,\u6c42  \\omega  \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<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-da1\"><pre>\u7b54\u6848: 2 \\leqslant \\omega&lt;3;\u63d0\u793a:\\cos \\omega x=1, \\omega&gt;0, t=\\omega x \\in[0,2 \\omega \\pi], \\therefore 4 \\pi \\leqslant 2 \\omega \\pi&lt;6 \\pi,  ~~~~~~~~~~~~\\\\\\therefore 2 \\leqslant \\omega&lt;3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n<\/pre><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" fetchpriority=\"low\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2024\/10\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-10-21-165124-1.jpg\" alt=\"\" class=\"wp-image-3149\"\/><\/figure>\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>9.\u8bbe\u51fd\u6570  f(x)=\\sin \\left(\\omega x+\\frac{\\pi}{3}\\right)(\\omega&gt;0)  \u5728\u533a\u95f4  (0, \\pi)  \u4e0a\u6070\u6709\u4e09\u4e2a\u6781\u503c\u70b9\u3001\u4e24\u4e2a\u96f6\u70b9, \u6c42  \\omega  \\\\\u7684\u53d6\u503c\u8303\u56f4.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-111111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-da11\"><pre>\u7b54\u6848: \\left(\\frac{13}{6}, \\frac{8}{3}\\right] ;\u63d0\u793a: \\omega&gt;0,  x \\in(0, \\pi),  \u4ee4 t=\\omega x+\\frac{\\pi}{3} \\in\\left(\\frac{\\pi}{3}, \\pi \\omega+\\frac{\\pi}{3}\\right) .\u7531 y=\\operatorname{sint}  \u56fe\u8c61\\\\\u77e5  \\frac{5 \\pi}{2}&lt;\\pi \\omega+\\frac{\\pi}{3} \\leqslant 3 \\pi, \\omega  \u7684\u53d6\u503c\u8303\u56f4\u4e3a  \\left(\\frac{13}{6}, \\frac{8}{3}\\right] .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" fetchpriority=\"low\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2024\/10\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-10-21-165031.jpg\" alt=\"\" class=\"wp-image-3150\"\/><\/figure>\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>10.\u5df2\u77e5\u5173\u4e8e  x  \u7684\u65b9\u7a0b  2 \\sin ^{2} x-\\sqrt{3} \\sin 2 x+m-1=0  \u5728  x \\in\\left(\\frac{\\pi}{2}, \\pi\\right)  \u4e0a\u6709\u4e24\u4e2a\u4e0d\u540c\u7684\u5b9e\u6570\\\\\u6839\uff0c\u6c42  m  \u7684\u53d6\u503c\u8303\u56f4.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-7a84864\" data-block-id=\"7a84864\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-7a84864-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-797dab1\" data-v=\"4\" data-block-id=\"797dab1\"><style>@media screen and (min-width:690px){.stk-797dab1 {flex:var(--stk-flex-grow, 1) 1 calc(60.7\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-2-1-m-2-sin-left-2-x-frac-pi-6-right-x-in-left-frac-pi-2-pi-right-2-x-frac-pi-6-t-t-in-left-frac-7-6-pi-frac-13-6-pi-right-therefore-frac-m-2-sin-t-t-in-left-frac-7-6-pi-frac-13-6-pi-right-frac-m-2-in-left-1-frac-1-2-right-m-in-2-1\"><pre>\u7b54\u6848 : (-2,-1) ;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n\u63d0\u793a:\u8f6c\u5316\u4e3a  m=2 \\sin \\left(2 x+\\frac{\\pi}{6}\\right),~~~~~~~~~~~~~~~~~~~~~~~\\\\ x \\in\\left(\\frac{\\pi}{2}, \\pi\\right) . \u8bbe  2 x+\\frac{\\pi}{6}=t , \u5219  t \\in\\left(\\frac{7}{6} \\pi, \\frac{13}{6} \\pi\\right) ,  ~~~\\\\\\therefore \\frac{m}{2}=\\sin t, t \\in\\left(\\frac{7}{6} \\pi, \\frac{13}{6} \\pi\\right), \\frac{m}{2} \\in\\left(-1,-\\frac{1}{2}\\right) , \\\\\u6545  m \\in(-2,-1) .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-f38e307\" data-v=\"4\" data-block-id=\"f38e307\"><style>@media screen and (min-width:690px){.stk-f38e307 {flex:var(--stk-flex-grow, 1) 1 calc(39.3\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" fetchpriority=\"low\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2024\/10\/hs10-1024x392.png\" alt=\"\" class=\"wp-image-3157\"\/><\/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-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>11.\u5df2\u77e5\u51fd\u6570f(x)=2\\sin \\omega x\u5728\u533a\u95f4[-\\frac{\\pi }{3},\\frac{\\pi }{4}  ]\u4e0a\u7684\u6700\u5c0f\u503c\u4e3a-2,\u6c42\\omega \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<p class=\"wp-block-paragraph\" id=\"htoc-\"><\/p>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-f22f4df\" data-block-id=\"f22f4df\"><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-f22f4df-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e2b47e6\" data-v=\"4\" data-block-id=\"e2b47e6\"><style>@media screen and (min-width:690px){.stk-e2b47e6 {flex:var(--stk-flex-grow, 1) 1 calc(53.3\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-da\"><pre>\u7b54\u6848:\\omega \\le-2\u6216\\omega \\ge \\frac{3}{2} ;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\u63d0\u793a:\u56fe\u8c61\u8fc7\u539f\u70b9\uff0c\u5206\\omega &lt; 0\uff0c\\omega &gt; 0\u8ba8\u8bba.<\/pre><\/div>\n<\/div><\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-f1f4c66\" data-v=\"4\" data-block-id=\"f1f4c66\"><style>@media screen and (min-width:690px){.stk-f1f4c66 {flex:var(--stk-flex-grow, 1) 1 calc(46.7\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" fetchpriority=\"low\" src=\"http:\/\/47.95.222.19\/wp-content\/uploads\/2024\/10\/%E5%B1%8F%E5%B9%95%E6%88%AA%E5%9B%BE-2024-10-22-151330.jpg\" alt=\"\" class=\"wp-image-3169\"\/><\/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-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>12.\u5df2\u77e5\u51fd\u6570  y=\\cos 2 x  \uff0c\u82e5\u5c06\u5b83\u7684\u56fe\u8c61\u5411\u5de6\u5e73\u79fb  \\frac{\\pi}{6}  \u4e2a\u5355\u4f4d\uff0c\u518d\u5c06\u6a2a\u5750\u6807\u53d8\u4e3a\u539f\u6765\u7684  \\frac{1}{3}  \u500d\\\\ (\u7eb5\u5750\u6807\u4e0d\u53d8)\uff0c\u5219\u5f97\u5230\u7684\u51fd\u6570\u89e3\u6790\u5f0f\u662f( ~~)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\A.  y=\\cos \\left(6 x+\\frac{\\pi}{3}\\right)~~ \nB.  y=-\\cos 6 x ~~\nC.  y=\\cos \\left(\\frac{2}{3} x+\\frac{\\pi}{3}\\right) ~~\nD.  y=-\\cos \\frac{2}{3} x \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<p class=\"wp-block-paragraph\" id=\"htoc-111111111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-daan\"><pre>\u7b54\u6848:A.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>13.\u4e3a\u4e86\u5f97\u5230\u51fd\u6570  f(x)=\\sin \\left(2 x-\\frac{\\pi}{4}\\right)  \u7684\u56fe\u8c61\uff0c\u53ea\u9700\u5c06\u51fd\u6570  g(x)=\\cos 2 x  \u7684\u56fe\u8c61(~~).~~~~~\\\\A. \u5411\u5de6\u5e73\u79fb  \\frac{3 \\pi}{8}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~\nB. \u5411\u53f3\u5e73\u79fb  \\frac{3 \\pi}{8}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\nC. \u5411\u5de6\u5e73\u79fb  \\frac{\\pi}{8}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~~~\nD. \u5411\u53f3\u5e73\u79fb  \\frac{\\pi}{8}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-1111111111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-da111\"><pre>\u7b54\u6848:B;\u63d0\u793a:\u7edf\u4e00\u540d\u79f0,y=\\cos 2x=\\sin (\\frac{\\pi}{2}+2x).~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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>14.\u8981\u5f97\u5230\u51fd\u6570  y=\\sin \\left(2 x+\\frac{\\pi}{6}\\right)  \u7684\u56fe\u8c61\uff0c\u53ef\u4ee5\u5c06\u51fd\u6570  y=\\cos \\left(2 x-\\frac{\\pi}{6}\\right)  \u7684\u56fe\u8c61(~~)~~~~~~~~\\\\A. \u5411\u53f3\u5e73\u79fb  \\frac{\\pi}{12}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~\nB. \u5411\u5de6\u5e73\u79fb  \\frac{\\pi}{12}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\nC. \u5411\u53f3\u5e73\u79fb  \\frac{\\pi}{6}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~\nD. \u5411\u5de6\u5e73\u79fb  \\frac{\\pi}{6}  \u4e2a\u5355\u4f4d\u957f\u5ea6~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\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<p class=\"wp-block-paragraph\" id=\"htoc-11111111111111111111111111111111111111111111111111111\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\" id=\"htoc-da1111\"><pre>\u7b54\u6848:A;\u63d0\u793a:\u7edf\u4e00\u540d\u79f0,y=\\cos (2x-\\frac{\\pi}{6})=\\sin (\\frac{\\pi}{2}+2x-\\frac{\\pi}{6})=\\sin (2x+\\frac{\\pi}{3}).~~~~~~~~~~~~~~<\/pre><\/div>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity is-style-wide\"\/>\n<\/details>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u4e09\u89d2\u51fd\u6570\u7684\u6027\u8d28\uff0c\u56fe\u8c61\u53ca\u53d8\u6362<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[],"class_list":["post-3161","post","type-post","status-publish","format-standard","hentry","category-2"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/3161","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=3161"}],"version-history":[{"count":2,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/3161\/revisions"}],"predecessor-version":[{"id":4059,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/3161\/revisions\/4059"}],"wp:attachment":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3161"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=3161"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=3161"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}