{"id":5543,"date":"2022-02-13T14:20:19","date_gmt":"2022-02-13T06:20:31","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/variations\/graphs_of_direct_variations_and_inverse_variations-2\/"},"modified":"2022-07-14T21:30:53","modified_gmt":"2022-07-14T13:30:53","slug":"joint_variations_and_partial_variations","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/variations\/joint_variations_and_partial_variations\/","title":{"rendered":"\u806f\u8b8a\u548c\u90e8\u5206\u8b8a"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"5543\" class=\"elementor elementor-5543\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6e6d9785 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6e6d9785\" 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-41dc1ba6\" data-id=\"41dc1ba6\" 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-9167530 elementor-widget elementor-widget-text-editor\" data-id=\"9167530\" 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>6.3 \u7406\u89e3 \u806f\u8b8a\u548c\u90e8\u5206\u8b8a \u53ca\u5176\u5728\u89e3\u73fe\u5be6\u751f\u6d3b\u554f\u984c\u6642\u7684\u61c9\u7528 (Understand Joint Variations and Partial Variations, and their Applications to Solving Real-Life Problems)<\/h2><p>\u806f\u8b8a\u548c\u90e8\u5206\u8b8a \u53ef\u4ee5\u8a71\u4fc2\u5c07\u6b63\u8b8a\u548c\u53cd\u8b8a\u4ee5\u4e0d\u540c\u5f62\u5f0f\u7d50\u5408\u3002<\/p><h3>6.3.1 \u806f\u8b8a (Joint Variations)<\/h3><ul><li>\u806f\u8b8a\u4fc2\u5169\u500b\u6216\u4ee5\u4e0a\u5605\u201c\u6b63\u8b8a\u3001\u53cd\u8b8a\u201d\u7d50\u5408\u4e4b\u5f8c\u5605\u95dc\u4fc2\u3002<\/li><li>\u8b8a\u6578\u5605\u6578\u76ee\u7531\u4e4b\u524d\u6b63\u8b8a\u3001\u53cd\u8b8a\u5605\u201c\u4e00\u5c0d\u4e00\u201d\uff08\u5373y\u96a8x\u6b63\u8b8a\uff09\u8b8a\u6210\u201c\u4e00\u5c0d\u5e7e\u201d\uff08\u4f8b\u5982y\u96a8x\u6b63\u8b8a\u53ca\u96a8z<sup>2<\/sup>\u6b63\u8b8a\uff09\u3002<ul><li>\u800c\u4ea6\u56e0\u70ba\u201c\u7d50\u5408\u201d\u5605\u5f62\u5f0f\u53ef\u4ee5\u5343\u8b8a\u842c\u6cd5\uff0c\u6240\u4ee5\u5187\u4e00\u5b9a\u5605\u6578\u5f0f\u3002<\/li><li>\u4e0d\u904e\u53ea\u8981\u6309\u6587\u5b57\u63cf\u8ff0\u4e00\u500b\u4e00\u500b\u5481\u5beb\u51fa\u569f\uff0c\u5176\u5be6\u90fd\u597d\u5bb9\u6613\u3002<ul><li>\u00a0\u201c\u5c07\u6587\u5b57\u63cf\u8ff0\u5605\u95dc\u4fc2\u8b8a\u6210\u4e00\u689d\u6578\u5f0f\u201d\u4ea6\u662f\u5927\u5bb6\u8981\u5b78\u5605\u5622\u3002<\/li><\/ul><\/li><\/ul><\/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-27cf23b elementor-widget elementor-widget-accordion\" data-id=\"27cf23b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-4171\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-4171\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u6587\u5b57\u63cf\u8ff0\uff1a y\u96a8x\u6b63\u8b8a\u4e14\u96a8\\(z^{2}\\)\u6b63\u8b8a\t<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-4171\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-4171\"><ul><li>\u6578\u5f0f\uff1a y = kxz<sup>2<\/sup>\u00a0 \u00a0 \u00a0 \u00a0 \uff08k \u70ba\u975e\u96f6\u5e38\u6578\uff09<ul><li>\u7559\u610fx\u540cz<sup>2<\/sup>\u4fc2\u7528\u201c\u4e58\u201d\u9023\u57cb\u5605\u3002<\/li><\/ul><\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-4172\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-4172\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u6587\u5b57\u63cf\u8ff0\uff1a y\u96a8x\u6b63\u8b8a\u53ca\u96a8\\(r^{2}\\)\u53cd\u8b8a<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-4172\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-4172\"><ul><li>\u6578\u5f0f\uff1a\\( y=\\dfrac{kx}{r^{2}}\\)\u00a0 \u00a0 \u00a0 \uff08k \u70ba\u975e\u96f6\u5e38\u6578\uff09<ul><li>\u7559\u610f\u56e0\u70bay\u96a8r<sup>2<\/sup>\u53cd\u8b8a\uff0c\u6240\u4ee5\u6578\u5f0f\u5165\u9762\u6703\u51fa\u73fe1\/ r<sup>2<\/sup>\u3002<\/li><li>\u800c\u6700\u5f8cx\u540c1\/ r<sup>2<\/sup>\u90fd\u4fc2\u7528\u201c\u4e58\u201d\u9023\u57cb\u5605\u3002<\/li><li>\u5927\u5bb6\u4ea6\u53ef\u4ee5\u7747\u6210\u201c\u6709\u53cd\u8b8a\u95dc\u4fc2\u5605\u8b8a\u6578\u6703\u653e\u55ba\u5206\u6bcd\u5ea6\u3001\u800c\u6709\u6b63\u8b8a\u95dc\u4fc2\u5605\u8b8a\u6578\u5c31\u6703\u653e\u55ba\u5206\u5b50\u5ea6\u201d\u3002<\/li><\/ul><\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8edca17 elementor-widget elementor-widget-text-editor\" data-id=\"8edca17\" 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>\u55baHKDSE\u8003\u8a66\u4e2d\u806f\u8b8a\u901a\u5e38\u6703\u9023\u57cb\u767e\u5206\u6578\u4e00\u9f4a\u8003\u3002\u4f8b\u5b50\u5982\u4e0b\uff1a<\/p>\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-9d0e447 elementor-widget elementor-widget-accordion\" data-id=\"9d0e447\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1641\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1641\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">\u5df2\u77e5y\u96a8x\u6b63\u8b8a\u4e14\u96a8\\(r^{2}\\)\u53cd\u8b8a\u3002\u7576r\u589e\u52a010%\uff0cx\u6e1b\u5c115%\u6642\uff0c\u6c42y\u7684\u6539\u8b8a\u767e\u5206\u6578\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1641\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1641\"><ul><li>\u5148\u5beb\u689d\u6578\u5f0f\u51fa\u569f\uff1a<br \/>\\(y=k\\dfrac{x}{r^{2}}\\)<\/li><li>\u7576r \u589e\u52a010%\u6642\uff0cr\u7684\u65b0\u503c = r ( 1 + 10%) = r (1.1) = 1.1r<\/li><li>\u7576x \u6e1b\u5c115%\u6642\uff0cx\u7684\u65b0\u503c = x ( 1 &#8211; 5%) = x (0.95) = 0.95x<\/li><\/ul><p>\\(\\begin{align}<br \/>&amp; \\therefore, y\u7684\u65b0\u503c \\\\<br \/>&amp; =k\\dfrac{0.95x}{(1.1r)^{2}} \\\\<br \/>&amp; =\\dfrac{0.95}{1.1^2}(k\\dfrac{k}{r^{2}}) \\\\<br \/>&amp; = 0.79 (k\\dfrac{k}{r^{2}}) \\\\<br \/>&amp; = 0.79 (y\u7684\u820a\u503c)<br \/>\\end{align}\\)<\/p><p>\u56e0\u70bay\u7531\u201c1y\u201d\u8b8a\u6210\u201c0.79y\u201d\uff0c\u6240\u4ee5y\u6e1b\u5c11\u4e8621%\u3002<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-48f020f elementor-widget elementor-widget-text-editor\" data-id=\"48f020f\" 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<h3>6.3.2 \u90e8\u5206\u8b8a (Partial Variations)<\/h3><ul><li>\u55ba\u5230\u90e8\u5206\u8b8a\u5165\u9762\uff0c\u8b8a\u6578\u8207\u8b8a\u6578\u4e4b\u9593\u5605\u95dc\u4fc2\u4fc2\u201c\u52a0\u201d\u540c\u201c\u6e1b\u201d\u3002<ul><li>\u91cd\u6eab\uff1a\u55ba\u201c\u806f\u8b8a\u201d\u5ea6\uff0c\u8b8a\u6578\u8207\u8b8a\u6578\u4e4b\u9593\u7684\u95dc\u4fc2\u4fc2\u201c\u4e58\u201d\u540c\u201c\u9664\u201d\u3002<\/li><\/ul><\/li><\/ul><ul><li>\u540c\u806f\u8b8a\u4e00\u6a23\uff0c\u55ba\u90e8\u4efd\u8b8a\u5165\u9762\uff1a<ul><li>\u8b8a\u6578\u5605\u6578\u76ee\u7531\u4e4b\u524d\u6b63\u8b8a\u3001\u53cd\u8b8a\u5605\u201c\u4e00\u5c0d\u4e00\u201d\uff08\u5373y\u96a8x\u6b63\u8b8a\uff09\u8b8a\u6210\u201c\u4e00\u5c0d\u5e7e\u201d\uff08\u4f8b\u5982y\u96a8x\u6b63\u8b8a\u53caz<sup>2<\/sup>\u6b63\u8b8a\uff09\u3002<\/li><li>\u800c\u201c\u7d50\u5408\u201d\u5605\u5f62\u5f0f\u4ea6\u4fc2\u5343\u8b8a\u842c\u6cd5\uff0c\u6240\u4ee5\u5187\u4e00\u5b9a\u5605\u6578\u5f0f\u3002<\/li><li>\u540c\u6a23\u5730\uff0c\u5927\u5bb6\u8981\u5b78\u5605\u4ea6\u4fc2 \u201c\u7531\u6587\u5b57\u63cf\u8ff0\u5605\u95dc\u4fc2\u8b8a\u6210\u4e00\u689d\u6578\u5f0f\u201d<\/li><\/ul><\/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-708fb03 elementor-widget elementor-widget-accordion\" data-id=\"708fb03\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-1181\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-1181\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">y\u662f\u5169\u90e8\u4efd\u4e4b\u548c\uff0c\u5176\u4e2d\u4e00\u90e8\u4efd\u56fa\u5b9a\u4e0d\u8b8a\uff0c\u53e6\u4e00\u90e8\u4efd\u96a8x\u6b63\u8b8a<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1181\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-1181\"><ul><li>\u6578\u5f0f\uff1a y = k<sub>1<\/sub> + k<sub>2<\/sub>x\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\uff08k<sub>1<\/sub>\uff0ck<sub>2<\/sub> \u70ba\u975e\u96f6\u5e38\u6578\uff09<ul><li>\u7559\u610f\u201c\u56fa\u5b9a\u4e0d\u8b8a\u201d\u5373\u4fc2\u7b49\u65bc\u4e00\u500b\u5e38\u6578\u3002<\/li><li>\u53e6\u5169\u500b\u90e8\u4efd\u7576\u4e2d\u5605\u5e38\u6578\u4fc2\u5514\u540c\u5605\uff0c\u6240\u4ee5\u7528k<sub>1<\/sub>\u540ck<sub>2<\/sub>\u3002<ul><li>\u540c\u5b78\u4ea6\u53ef\u4ee5a, b\u7b49\u82f1\u6587\u5b57\u6bcd<\/li><\/ul><\/li><\/ul><\/li><\/ul><p>\u00a0<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b3d796b elementor-widget elementor-widget-text-editor\" data-id=\"b3d796b\" 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>\u55baDSE\u516c\u958b\u8a66\u5377\u5b50\u5165\u9762\uff0c\u51fa\u5f97\u5605\u57fa\u672c\u4e0a\u90fd\u4fc2\u90e8\u4efd\u8b8a (\u56e0\u70ba\u5176\u5605\u8ab2\u984c\u5514\u5920\u6bd4\u8003\u8a55\u5c40\u51fa\u9577\u984c\u51fa)\u3002<\/p><p>\u6211\u5730\u5c31\u7747\u5413\u4ee5\u4e0b\u5605\u4f8b\u5b50\u3002<\/p>\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-bee8bb4 elementor-widget elementor-widget-accordion\" data-id=\"bee8bb4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"accordion.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion\">\n\t\t\t\t\t\t\t<div class=\"elementor-accordion-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-2001\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2001\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon elementor-accordion-icon-left\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-closed\"><svg class=\"e-font-icon-svg e-fas-plus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H272V64c0-17.67-14.33-32-32-32h-32c-17.67 0-32 14.33-32 32v144H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h144v144c0 17.67 14.33 32 32 32h32c17.67 0 32-14.33 32-32V304h144c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-accordion-icon-opened\"><svg class=\"e-font-icon-svg e-fas-minus\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M416 208H32c-17.67 0-32 14.33-32 32v32c0 17.67 14.33 32 32 32h384c17.67 0 32-14.33 32-32v-32c0-17.67-14.33-32-32-32z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-accordion-title\" tabindex=\"0\">y\u662f\u5169\u90e8\u4efd\u4e4b\u548c\uff0c\u5176\u4e2d\u4e00\u90e8\u4efd\u56fa\u5b9a\u4e0d\u8b8a\uff0c\u53e6\u4e00\u90e8\u4efd\u96a8\\(x^{2}\\)\u6b63\u8b8a\u3002 \u7576x = 2\u6642\uff0cy = 14\uff1b\u7576x = 1\u6642\uff0cy = 11\u3002\u6c42\u7576x = 3\u6642y\u7684\u503c\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2001\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2001\"><p>\u89e3\u8aaa\uff1a<\/p><ul><li>\u6839\u64da\u984c\u76ee\uff0c\u3000y = k<sub>1<\/sub> + k<sub>2<\/sub>x<sup>2<\/sup> \uff08k<sub>1<\/sub>\uff0ck<sub>2<\/sub> \u70ba\u975e\u96f6\u5e38\u6578\uff09<\/li><li>\u56e0\u70ba\u8981\u8a08\u201c\u7576x = 3\u6642y\u7684\u503c\u201d\uff0c\u6211\u54cb\u8981\u5148\u6c42k<sub>1<\/sub> \u540ck<sub>2<\/sub>\u4fc2\u5e7e\u591a\u3002<ul><li>\u65b9\u6cd5\u540c\u201c<a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/variations\/direct_variations_and_inverse_variations\/\">6.1.3 \u89e3\u73fe\u5be6\u751f\u6d3b\u554f\u984c\u6642\u7684\u61c9\u7528<\/a>\u201d\u5165\u9762\u6240\u63d0\u5230\u5605\u5dee\u5514\u591a\u3002<ul><li>\u6211\u54cb\u53ef\u4ee5\u5229\u7528\u984c\u76ee\u4ffe\u6211\u54cb\u5605\u5169\u500b\u5be6\u969b\u4f8b\u5b50\u6435\u5230\u5169\u689d\u65b9\u7a0b\u3002<\/li><li>\u7576x=2\u6642\uff0cy=14<br \/>\u00a0 \u00a0 \u00a0 k<sub>1<\/sub> + 4k<sub>2<\/sub> = 14<\/li><li>\u7576x=1\u6642\uff0cy=11<br \/>\u00a0 \u00a0 \u00a0 k<sub>1<\/sub> + k<sub>2<\/sub> = 11<\/li><\/ul><\/li><li>\u7528\u8a08\u6578\u6a5f\u53ef\u4ee5\u8f15\u6613\u8a08\u5230\u4f9d\u5169\u689d\u201c\u806f\u7acb\u65b9\u7a0b\u201d\u5605\u7b54\u4fc2\u4fc2k<sub>1<\/sub> = 10\u540ck<sub>2<\/sub> = 1\u3002<\/li><\/ul><\/li><li>\u6709\u5497k<sub>1<\/sub> \u540ck<sub>2<\/sub>\uff0c\u6211\u54cb\u8981\u5148\u5beb\u8fd4\u597d\u689d\u5f0f\uff1a y = 10 + x<sup>2<\/sup>\u3002<\/li><li>\u6240\u4ee5\u7576x = 3\u6642\uff0c\u3000y = 10 + (3)<sup>2<\/sup> = 19<\/li><\/ul><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\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-1ad638b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1ad638b\" 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-a63514e\" data-id=\"a63514e\" 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-18b52d4 elementor-widget elementor-widget-text-editor\" data-id=\"18b52d4\" 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><i class=\"far fa-arrow-alt-circle-left\" aria-hidden=\"true\"><\/i>\u00a0<a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/variations\/graphs_of_direct_variations_and_inverse_variations\/\">\u6b63\u8b8a\u548c\u53cd\u8b8a\u7684\u5716\u50cf<\/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<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2a3da72\" data-id=\"2a3da72\" 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-7627328\" data-id=\"7627328\" 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-82e7d1b elementor-widget elementor-widget-text-editor\" data-id=\"82e7d1b\" 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\/dse-maths-core\/fundamental_algebra\/arithmetic_and_geometric_sequences\/\">\u7b49\u5dee\u6578\u5217\u548c\u7b49\u6bd4\u6578\u5217<\/a>\u00a0\u00a0<i class=\"far fa-arrow-alt-circle-right\" aria-hidden=\"true\"><\/i><\/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-4bfd21bc\" data-id=\"4bfd21bc\" 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-20775dbc elementor-widget elementor-widget-sidebar\" data-id=\"20775dbc\" 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-5 > ul > li > a, .custom-menu-widget .ocean_custom_menu-5 .dropdown-menu .sub-menu li a.menu-link{font-size:16px;line-height:17px;}.custom-menu-widget .ocean_custom_menu-5.oceanwp-custom-menu > ul.click-menu .open-this{font-size:16px;}<\/style><h4 class=\"widget-title\">DSE\u6578\u5b78 &#8211; \u5fc5\u4fee\u90e8\u5206\u3010\u76ee\u9304\u3011<\/h4><div class=\"oceanwp-custom-menu clr ocean_custom_menu-5 left dropdown-hover\"><ul id=\"menu-dsemaths_core\" class=\"dropdown-menu sf-menu\"><li  id=\"menu-item-1744\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-1744\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/course-analysis\/\" class=\"menu-link\">\u8ab2\u7a0b\u5206\u6790 (Core)<\/a><\/li>\n<li  id=\"menu-item-1745\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-has-children dropdown menu-item-1745\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/\" class=\"menu-link\">\u5514\u597d\u4ee5\u70ba\u5514\u99db\u8003 &#8211; \u76ee\u9304 <span class=\"nav-arrow fa fa-angle-down\"><\/span><\/a>\n<ul class=\"sub-menu\">\n\t<li  id=\"menu-item-4067\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4067\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation\/\" class=\"menu-link\">1. \u89e3\u65b9\u7a0b<\/a><\/li>\n\t<li  id=\"menu-item-4068\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4068\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/polynomials\/\" class=\"menu-link\">2. \u591a\u9805\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4069\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4069\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/laws-of-indices\/\" class=\"menu-link\">3. \u6307\u6578\u5b9a\u5f8b<\/a><\/li>\n\t<li  id=\"menu-item-4070\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4070\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/factorization\/\" class=\"menu-link\">4. \u56e0\u5f0f\u5206\u89e3<\/a><\/li>\n\t<li  id=\"menu-item-4071\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4071\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/formulae\/\" class=\"menu-link\">5. \u516c\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4072\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4072\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/percentage\/\" class=\"menu-link\">6. \u767e\u5206\u6cd5<\/a><\/li>\n\t<li  id=\"menu-item-4073\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4073\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/rate-and-ratio\/\" class=\"menu-link\">7. \u7387\u53ca\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4074\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4074\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/functions\/\" class=\"menu-link\">8. \u51fd\u6578<\/a><\/li>\n\t<li  id=\"menu-item-4075\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4075\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/estimation\/\" class=\"menu-link\">9. \u4f30\u7b97<\/a><\/li>\n\t<li  id=\"menu-item-4076\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4076\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/inequalities\/\" class=\"menu-link\">10. \u4e0d\u7b49\u5f0f<\/a><\/li>\n\t<li  id=\"menu-item-4077\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4077\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/coordinates\/\" class=\"menu-link\">11. \u5750\u6a19<\/a><\/li>\n\t<li  id=\"menu-item-4079\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4079\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/geometry\/\" class=\"menu-link\">12. \u6f14\u7e79\u63a8\u7406\u5e7e\u4f55<\/a><\/li>\n\t<li  id=\"menu-item-4080\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4080\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/trigonometry\/\" class=\"menu-link\">13. \u4e09\u89d2\u6bd4<\/a><\/li>\n\t<li  id=\"menu-item-4081\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4081\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/shapes\/\" class=\"menu-link\">14. \u5e73\u9762\u53ca\u7acb\u9ad4\u5716\u5f62<\/a><\/li>\n\t<li  id=\"menu-item-4082\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4082\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/15-probability\/\" class=\"menu-link\">15. \u6982\u7387<\/a><\/li>\n\t<li  id=\"menu-item-4083\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-4083\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/16-statistics\/\" class=\"menu-link\">16. \u7d71\u8a08<\/a><\/li>\n<\/ul>\n<\/li>\n<li  id=\"menu-item-3231\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3231\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3241\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3241\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental-shape_n_space\/\" class=\"menu-link\">\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3246\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3246\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_data_handling\/\" class=\"menu-link\">\u57fa\u790e &#8211; 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