{"id":1619,"date":"2024-04-30T11:30:05","date_gmt":"2024-04-30T03:30:05","guid":{"rendered":"http:\/\/jiaohuweike.online\/?p=1619"},"modified":"2024-04-30T11:30:05","modified_gmt":"2024-04-30T03:30:05","slug":"hsyldwt-5-3-4-2-2","status":"publish","type":"post","link":"http:\/\/jhwk.online\/?p=1619","title":{"rendered":"\u4e8c\u9879\u5f0f\u5b9a\u7406\u95ee\u9898\u6c47\u603b"},"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  (1-2 x)^{2020}=a_{0}+a_{1} x+a_{2} x^{2}+\\cdots+   a_{2020} \\cdot x^{2020}(x \\in \\mathbf{R}) .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(1) \u6c42  a_{0}+a_{1}+a_{2}+\\cdots+a_{2020}  \u7684\u503c;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(2) \u6c42  a_{1}+a_{3}+a_{5}+\\cdots+a_{2019}  \u7684\u503c;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(3) \u6c42 a_{2}+a_{4}+a_{6}+\\cdots+a_{2020} \u7684\u503c;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(4)(a_{0}+a_{2}+a_{4}+\\cdots+a_{2020} )^2-(a_{1}+a_{3}+a_{5}+\\cdots+a_{2019})^2;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(5) \u6c42  \\left|a_{0}\\right|+\\left|a_{1}\\right|+\\left|a_{2}\\right|+\\cdots+\\left|a_{2020}\\right|  \u7684\u503c;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n\n(6)  a_{1}+2 a_{2}+3 a_{3}+\\cdots+2020 a_{2020} .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(1)1;(2)\\frac{1-3^{2020}}{2} ;(3)\\frac{3^{2020}-1}{2};(4)3^{2020};(5)3^{2020};(6)4040.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-9cba3b5\" data-block-id=\"9cba3b5\"><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-5e97424\" data-block-id=\"5e97424\"><style>.stk-5e97424 .stk-button{border-top-left-radius:13px !important;border-top-right-radius:13px !important;border-bottom-right-radius:13px !important;border-bottom-left-radius:13px !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%AE%9A%E7%90%86%E9%97%AE%E9%A2%98%E6%B1%87%E6%80%BB1\/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>2.\u4e8c\u9879\u5c55\u5f00\u5f0f\u7684\u5e94\u7528~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(1) \u5316\u7b80\uff1a1-2 \\mathrm{C}_{n}^{1}+4 \\mathrm{C}_{n}^{2}-8 \\mathrm{C}_{n}^{3}+\\cdots+(-2)^{n} \\mathrm{C}_{n}^{n}.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(2) \u5316\u7b80:(x-1)^{5}+5(x-1)^{4}+10(x-1)^{3}+   10(x-1)^{2}+5(x-1) .~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(3)\u5df2\u77e5  (1+x)^{10}=a_{0}+a_{1}(1-x)+a_{2}(1-x)^{2}+\\cdots+   a_{10}(1-x)^{10} , \u6c42 a_{8}.~~~~~~~~~~~~~~~~~~~~~~\\\\\n(4)\u5bf9\u4efb\u610f\u5b9e\u6570  x , \u6709  x^{3}=a_{0}+a_{1}(x-2)+a_{2}(x-2)^{2}+   a_{3}(x-2)^{3} , \u6c42  a_{2} .~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\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\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(1)(-1)^n;(2)x^5-1;(3)180;(4)6.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-399475a\" data-block-id=\"399475a\"><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-b4c53e5\" data-block-id=\"b4c53e5\"><style>.stk-b4c53e5 .stk-button{border-top-left-radius:13px !important;border-top-right-radius:13px !important;border-bottom-right-radius:13px !important;border-bottom-left-radius:13px !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%AE%9A%E7%90%86%E9%97%AE%E9%A2%98%E6%B1%87%E6%80%BB2\/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>3.\u4e8c\u9879\u5c55\u5f00\u5f0f\u7684\u901a\u9879~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\n\\\\(1)(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)\u7684\u5c55\u5f00\u5f0f\u4e2d\uff0c\u6c42\u542bx^5\u7684\u9879\u7684\u7cfb\u6570.~~~~~~~~~~~~\\\\(2)\u6c42(1+x+x^2)(1-x)^{10}\u7684\u5c55\u5f00\u5f0f\u4e2dx^4\u7684\u7cfb\u6570.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(3)\u6c42(x^2+x-1)^5\u7684\u5c55\u5f00\u5f0f\u4e2dx^5\u7684\u7cfb\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<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(1)-21;(2)135;(3)11.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-1fd2da1\" data-block-id=\"1fd2da1\"><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-6629408\" data-block-id=\"6629408\"><style>.stk-6629408 .stk-button{border-top-left-radius:13px !important;border-top-right-radius:13px !important;border-bottom-right-radius:13px !important;border-bottom-left-radius:13px !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%AE%9A%E7%90%86%E9%97%AE%E9%A2%98%E6%B1%87%E6%80%BB3\/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-1dda9ec\" data-block-id=\"1dda9ec\"><style>.stk-1dda9ec{height:30px !important}<\/style><\/div>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>4.\u5df2\u77e5  \\left(x-\\frac{1}{2 \\sqrt{x}}\\right)^{n}  \u7684\u5c55\u5f00\u5f0f\u4e2d\u5171\u67097\u9879\uff0c\u6c42\u4e0b\u5217\u95ee\u9898.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\\n(1)\u6c42n;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\(2)\u6c42\u6240\u6709\u9879\u7684\u4e8c\u9879\u5f0f\u7cfb\u6570\u548c;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\(3)\u6c42\u6240\u6709\u9879\u7684\u7cfb\u6570\u548c;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\(4)\u7cfb\u6570\u7684\u7edd\u5bf9\u503c\u6700\u5927\u7684\u9879;~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\\\\(5)\u6709\u7406\u9879\u5171\u51e0\u9879.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/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\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>(1)6;(2)2^6=64;(3)(\\frac{1}{2})^6=\\frac{1}{64};(4)\\frac{15}{4}x^3;(5)4.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n\n\n\n<div class=\"wp-block-stackable-button-group stk-block-button-group stk-block stk-e459643\" data-block-id=\"e459643\"><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-cea668b\" data-block-id=\"cea668b\"><style>.stk-cea668b .stk-button{border-top-left-radius:13px !important;border-top-right-radius:13px !important;border-bottom-right-radius:13px !important;border-bottom-left-radius:13px !important}<\/style><a class=\"stk-link stk-button stk--hover-effect-darken\" href=\"\/fabu\/%E4%BA%8C%E9%A1%B9%E5%BC%8F%E5%AE%9A%E7%90%86%E9%97%AE%E9%A2%98%E6%B1%87%E6%80%BB4\/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>5.\u6c4255^{55}\u88ab9\u7684\u4f59\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<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-katex-display-block katex-eq\" data-katex-display=\"true\"><pre>\u7b54\u6848\uff1a1\uff1b\u63d0\u793a\uff1a55^{55}=(54+1)^{55}= {\\textstyle C_{55}^{0}} 54^{55}+ {\\textstyle C_{55}^{1}} 54^{54}+\\dots + {\\textstyle C_{55}^{54}} 54+1,\u542b54\u7684\u9879~~~~\\\\\u88ab9\u6574\u9664\uff0c\u6240\u4ee5\u4f59\u6570\u4e3a1.~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<\/pre><\/div>\n<\/details>\n","protected":false},"excerpt":{"rendered":"<p>\u5e38\u89c1\u7684\u4e8c\u9879\u5f0f\u5b9a\u7406\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":[9],"tags":[35],"class_list":["post-1619","post","type-post","status-publish","format-standard","hentry","category-pailie","tag-35"],"blocksy_meta":[],"_links":{"self":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/1619","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=1619"}],"version-history":[{"count":0,"href":"http:\/\/jhwk.online\/index.php?rest_route=\/wp\/v2\/posts\/1619\/revisions"}],"wp:attachment":[{"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1619"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1619"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/jhwk.online\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1619"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}