{"id":1259,"date":"2020-07-11T13:08:15","date_gmt":"2020-07-11T05:08:15","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=1259"},"modified":"2020-11-02T23:52:33","modified_gmt":"2020-11-02T15:52:33","slug":"formulae","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/formulae\/","title":{"rendered":"4. \u516c\u5f0f (Formulae)"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1259\" class=\"elementor elementor-1259\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0859bbf elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0859bbf\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-66 elementor-top-column elementor-element elementor-element-8edf7ac\" data-id=\"8edf7ac\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-2e46434 elementor-widget elementor-widget-text-editor\" data-id=\"2e46434\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u7c21\u55ae\u569f\u8b1b\uff0c\u516c\u5f0f\u4fc2\u4e00\u689d\u5305\u542b\u5497\u5169\u500b\u6216\u4ee5\u4e0a\u8b8a\u6578\u5605\u6578\u5f0f\u3002<\/p><ul><li>\u516c\u5f0f\u5605\u529f\u80fd\u4e3b\u8981\u4fc2\u7528\u569f\u8868\u793a2\u500b\u6216\u4ee5\u4e0a\u8b8a\u6578(variables)\u7684\u95dc\u4fc2\u3002<\/li><\/ul><p>\u4f8b1\uff1a \u8003\u616e y = mx + c\u00a0\u00a0\u00a0\u00a0<\/p><ul><li>\u9019\u516c\u5f0f\u4e2d\u5171\u67094\u500b\u8b8a\u6578\uff0c\u5206\u5225\u70bay, m, x, c\u3002<\/li><li>\u55ae\u7368\u5730\u5728\u7b49\u865f\u5de6\u908a\u7684\u8b8a\u6578 y \u88ab\u7a31\u70ba\u516c\u5f0f\u4e2d\u7684\u4e3b\u9805(subject)<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8527302 elementor-widget elementor-widget-text-editor\" data-id=\"8527302\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h2>4.1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u4e3b\u9805\u8f49\u63db (Changing the Subject)<\/h2><p>\u4e0a\u9762\u63d0\u5230\u5605\u4e3b\u9805\uff0c\u55ba\u521d\u4e2d\u6578\u5b78\u8ab2\u7a0b\u5165\u9762\uff0c\u5927\u5bb6\u8981\u8b58\u5605\u5c31\u4fc2\u300c\u4e3b\u9805\u8b8a\u63db\u300d(\u5373\u4fc2\u6bd4\u4e00\u689d\u516c\u5f0f\u4fc2\uff0c\u8981\u6c42\u4f60\u628a\u53e6\u4e00\u500b\u8b8a\u6578\u8b8a\u6210\u4e3b\u9805\u3002<\/p><p>\u4f8b2\uff1a\u3000\u628a\u516c\u5f0f y = 2x \u7684\u4e3b\u9805\u8b8a\u6210 x\u3002<\/p><ul><li style=\"list-style-type: none;\"><ul><li>\u8a3b:\u00a0\u00a0 \u597d\u591a\u6642, \u689d\u984c\u76ee\u6703\u628a\u8981\u6c42\u4f60\u6539\u5beb\u5605\u65b0\u4e3b\u9805\u7528\u65b9\u62ec\u865f\u5beb\u55ba\u539f\u6709\u516c\u5f0f\u5f8c\uff1a<br \/>\u3000\u3000\u3000\u3000y = 2x\u3000\u3000[x]<\/li><\/ul><\/li><\/ul><p>\u89e3\uff1a\u00a0\\(\\begin{align}<br \/>y &amp; = 2x \\\\<br \/>x &amp; = \\dfrac{y}{2}<br \/>\\end{align}\\)<\/p><p>\u7576\u7136\uff0c\u5230\u6e2c\u9a57\u8003\u5605\u6642\u5019\u8981\u4f60\u505a\u4e3b\u9805\u8b8a\u63db\u5605\u516c\u5f0f\u5514\u6703\u5481\u7c21\u55ae\u3002\u4f46\u5be6\u53ea\u8981\u6309\u4ee5\u4e0b\u5605\u65b9\u6cd5\uff0c\u4e3b\u9805\u8b8a\u63db\u5605\u984c\u76ee\u90fd\u5514\u592a\u96e3<\/p><p><span style=\"text-decoration: underline;\">\u65b9\u6cd5\/\u6b65\u9a5f<\/span>\uff1a\u00a0\u00a0<\/p><ol><li>\u5982\u65b0\u4e3b\u9805\u5728\u5206\u6bcd\u4e2d\u51fa\u73fe\uff0c\u5148\u5316\u5206\u6bcd\u70ba1\u3002<br \/>(\u53ef\u628a\u5168\u5f0f\u500d\u5927\u5206\u6bcd\u7684LCM\u6216\u4f7f\u7528\u901a\u5206\u6bcd\u53ca\u79fb\u9805\u65b9\u6cd5)<\/li><li>\u62c6\u62ec\u865f<\/li><li>\u79fb\u9805<br \/>(\u628a\u542b\u65b0\u4e3b\u9805\u7684\u9805\u6578\u79fb\u5230\u7b49\u865f\u7684\u5de6\u908a\uff0c\u5176\u9918\u7684\u79fb\u5230\u7b49\u865f\u7684\u53f3\u908a)<\/li><li>\u62bd\u516c\u56e0\u53ca\u79fb\u9805<br \/>(\u5982\u6709\u591a\u65bc\u4e00\u542b\u65b0\u4e3b\u9805\u7684\u9805\u6578\uff0c\u65b0\u4e3b\u9805\u5fc5\u70ba\u516c\u56e0\u3002)<\/li><\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d562075 elementor-widget elementor-widget-text-editor\" data-id=\"d562075\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>\u4f8b3\uff1a\\( p(x &#8211; 1) &#8211; q(x + 1) = r \\quad \\quad \\quad [x]\\)<br \/>\u89e3\uff1a<br \/>\\(\\begin{align}<br \/>\\quad p(x &#8211; 1) &#8211; q(x + 1) &amp; = r \\\\<br \/>px &#8211; p -qx &#8211; q &amp; = r \\quad \\quad \\quad &amp;&amp;\u00a0 (\u6b65\u9a5f2:\u62c6\u62ec\u865f) \\\\<br \/>px &#8211; qx &amp; = r + p + q \\quad &amp;&amp; (\u6b65\u9a5f3:\u79fb\u9805) \\\\<br \/>x (p &#8211; q) &amp; = p + q + r \\quad &amp;&amp; (\u6b65\u9a5f4:\u62bd\u516c\u56e0) \\\\<br \/>x &amp; = \\dfrac{p+ q + r}{p &#8211; q} \\quad &amp;&amp; (\u6b65\u9a5f4:\u79fb\u9805) \\\\<br \/>\\end{align}\\)<\/p><p>\u4f8b4\uff1a \\(\\dfrac{1}{x} = \\dfrac{1}{y} + k \\quad \\quad \\quad [y] \\)<br \/>\u89e3:<br \/>\\(\\begin{align}<br \/>\\dfrac{1}{x} &amp; = \\dfrac{1}{y} + k \\\\<br \/>xy\\left (\\dfrac{1}{x}\\right ) &amp; = \\left (\\dfrac{1}{y} + k\\right ) \\quad \\quad &amp;&amp; (\u6b65\u9a5f1:\u62c6\u62ec\u865f) \\\\<br \/>y &amp; = x + xyk \\quad \\quad \\quad &amp;&amp; (\u6b65\u9a5f2:\u62c6\u62ec\u865f) \\\\<br \/>y &#8211; xyk &amp; = x \\quad &amp;&amp; (\u6b65\u9a5f3:\u79fb\u9805) \\\\<br \/>y(1 &#8211; xk) &amp; = x \\quad &amp;&amp; (\u6b65\u9a5f4:\u62bd\u516c\u56e0) \\\\<br \/>y &amp; = \\dfrac{x}{1 &#8211; xk} \\quad &amp;&amp; (\u6b65\u9a5f4:\u79fb\u9805)<br \/>\\end{align}\\)<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-e50b146 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e50b146\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-5fe7ace\" data-id=\"5fe7ace\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1db4400 elementor-widget elementor-widget-text-editor\" data-id=\"1db4400\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/factorization\/\"><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i> \u56e0\u5f0f\u5206\u89e3<\/a>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-67198c1\" data-id=\"67198c1\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-424771e\" data-id=\"424771e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bc872a8 elementor-widget elementor-widget-text-editor\" data-id=\"bc872a8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p style=\"text-align: right;\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/simultaneous-linear-equations\/\">\u806f\u7acb\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b <i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/a><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-top-column elementor-element elementor-element-e1ff264\" data-id=\"e1ff264\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-98233be elementor-widget elementor-widget-sidebar\" data-id=\"98233be\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"sidebar-box widget-oceanwp-custom-menu custom-menu-widget clr\"><style type=\"text\/css\">.ocean_custom_menu-3 > ul > li > a, .custom-menu-widget .ocean_custom_menu-3 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-3.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">\u4e2d\u4e8c\u6578\u5b78\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-3 left dropdown-hover\"><ul id=\"menu-form2mathstopics\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1248\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1248\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/approximation-errors\/\" class=\"menu-link\">1. \u8fd1\u4f3c\u8207\u8aa4\u5dee (Approximation &#038; Errors)<\/a><\/li>\n<li  id=\"menu-item-1261\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1261\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/identities\/\" class=\"menu-link\">2. \u6046\u7b49\u5f0f (Identities)<\/a><\/li>\n<li  id=\"menu-item-1266\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1266\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/factorization\/\" class=\"menu-link\">3. \u56e0\u5f0f\u5206\u89e3 (Factorization)<\/a><\/li>\n<li  id=\"menu-item-1265\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1265\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/formulae\/\" class=\"menu-link\">4. \u516c\u5f0f (Formulae)<\/a><\/li>\n<li  id=\"menu-item-1278\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1278\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/simultaneous-linear-equations\/\" class=\"menu-link\">5. \u806f\u7acb\u4e8c\u5143\u4e00\u6b21\u65b9\u7a0b (Simultaneous Linear Equations)<\/a><\/li>\n<li  id=\"menu-item-1279\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1279\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/rate-and-ratio\/\" class=\"menu-link\">6. \u7387\u53ca\u6bd4 (Rate and Ratio)<\/a><\/li>\n<li  id=\"menu-item-1280\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1280\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/use-of-percentage\/\" class=\"menu-link\">7. \u767e\u4efd\u6cd5 (Use of Percentage)<\/a><\/li>\n<li  id=\"menu-item-1302\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1302\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/geometry\/\" class=\"menu-link\">8. \u5e7e\u4f55\u5b9a\u7406 (Geometry)<\/a><\/li>\n<li  id=\"menu-item-1303\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1303\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/pythagoras-theorem\/\" class=\"menu-link\">9. \u7562\u6c0f\u5b9a\u7406 (Pythagoras\u2019 Theorem)<\/a><\/li>\n<li  id=\"menu-item-1304\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1304\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/trigonometric-ratios\/\" class=\"menu-link\">10. \u4e09\u89d2\u6bd4 (Trigonometric Ratios)<\/a><\/li>\n<li  id=\"menu-item-1305\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1305\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/areas-and-volumes\/\" class=\"menu-link\">11. \u9762\u7a4d\u548c\u9ad4\u7a4d (Areas and Volumes)<\/a><\/li>\n<li  id=\"menu-item-1306\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1306\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/form2_maths\/statistics\/\" class=\"menu-link\">12. \u7d71\u8a08 (Statistics)<\/a><\/li>\n<li  id=\"menu-item-16137\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-16137\"><a href=\"https:\/\/www.study-together.com\/edu\/secondary\/exam_papers\/\" class=\"menu-link\">*** \u521d\u4e2d\u8a66\u5377 \/ \u8a66\u984c\u5eab ***<\/a><\/li>\n<\/ul><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>\u7c21\u55ae\u569f\u8b1b\uff0c\u516c\u5f0f\u4fc2\u4e00\u689d\u5305\u542b\u5497\u5169\u500b\u6216\u4ee5\u4e0a\u8b8a\u6578\u5605\u6578\u5f0f\u3002 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