{"id":4735,"date":"2022-01-29T13:13:19","date_gmt":"2022-01-29T05:13:25","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/function_and_graph-notation_and_representation-2\/"},"modified":"2025-04-08T14:09:11","modified_gmt":"2025-04-08T06:09:11","slug":"graphcs_of_quadratic_functions","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/fundamental_algebra\/function_and_graph\/graphcs_of_quadratic_functions\/","title":{"rendered":"\u4e8c\u6b21\u51fd\u6578\u5716\u50cf"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"4735\" class=\"elementor elementor-4735\">\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-f85ef80 elementor-widget elementor-widget-text-editor\" data-id=\"f85ef80\" 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>2.3 \u7406\u89e3 \u4e8c\u6b21\u51fd\u6578\u5716\u50cf \u7684\u7279\u5fb5 (Understand the Features of the Graphcs of Quadratic Functions)<\/h2><h3>2.3.1 \u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u7684\u7279\u5fb5<\/h3><p>\u5b78 \u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u00a0 (\u5373 y = ax<sup>2<\/sup> + bx + c \u5605\u5716\u50cf)\uff0c\u9996\u5148\u7576\u7136\u8981\u77e5\u4f62\u500b\u6a23\u3002 \u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u500b\u6a23\u4fc2\u597d\u4f3c\u4e00\u96bb\u7897\u5481\uff08\u5c31\u597d\u4f3c\u4e0b\u9762\u5e45\u5716\u5605\u7d05\u7dda\u5481\uff09\uff1a<\/p><p><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-4819 aligncenter\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-graph_of_quadratic_equation.webp\" alt=\"\u4e8c\u6b21\u51fd\u6578\u5716\u50cf\" width=\"540\" height=\"431\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-graph_of_quadratic_equation.webp 540w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-graph_of_quadratic_equation-300x239.webp 300w\" sizes=\"(max-width: 540px) 100vw, 540px\" \/><\/p><p>\u00a7 \u7747\u5e45\u5716\u5605\u6642\u5019\uff0c\u6211\u54cb\u8981\u7559\u610f\uff1a<\/p><ul><li>\u958b\u53e3\u65b9\u5411\uff0c\u5373\u958b\u53e3\u4fc2\u5411\u4e0a\u5b9a\u5411\u4e0b\u3002<ul><li>\u4e0a\u5716\u4e2d\u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u5605\u958b\u53e3\u4fc2\u5411\u4e0a\u7684\u3002<\/li><\/ul><\/li><li>y-\u8ef8\u622a\u8ddd\u4fc2\u6b63\u5b9a\u8ca0<ul><li>\u4e0a\u5716\u4e2d\u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u5605y-\u8ef8\u622a\u8ddd\u4fc2\u8ca0\u7684\u3002<\/li><\/ul><\/li><li>ax<sup>2<\/sup> + bx + c=0\u5605\u6839\u5605\u503c\u53ca\u6578\u76ee<ul><li>\u5f9e y = ax<sup>2<\/sup> + bx + c \u7684\u5716\u50cf\u4e2d\uff0c ax<sup>2<\/sup> + bx + c=0\u5605\u6839\u4fc2\u66f2\u7dda\u8207 x-\u8ef8\u540c\u4ea4\u7684\u9ede\u3002<\/li><li>\u5f9e\u4e0a\u5716\u53ef\u898b\u65b9\u7a0b\u6709\u5169\u500b\u5be6\u6839\uff0c\u4e00\u6b63\u4e00\u8ca0\u3002<\/li><\/ul><\/li><li>\u5c0d\u7a31\u8ef8\uff08axis of symmetry\uff09\u5605\u4f4d\u7f6e<ul><li>\u4e0a\u5716\u4e2d\u5605\u5c0d\u7a31\u8ef8\u4fc2 \u201c\u55ba\u6b63\u55f0\u908a\u201d\u3002<ul><li>\u6240\u4ee5\u5e45\u5716\u4e00\u5927\u534a\u4fc2\u55bay-\u8ef8\u53f3\u908a<\/li><\/ul><\/li><\/ul><\/li><li>\u9802\u9ede\uff08\u00advertex\uff09\u5605\u5750\u6a19<ul><li>\u5982\u679c\u958b\u53e3\u5411\u4e0a\uff0c\u5481\u500b\u9802\u9ede\u5c31\u4fc2\u4e8c\u6b21\u51fd\u6578\u5605\u201c\u6975\u5c0f\u503c\u201d\uff08maximum value\uff09\u3002<\/li><li>\u5982\u679c\u958b\u53e3\u5411\u4e0b\uff0c\u5481\u500b\u9802\u9ede\u5c31\u4fc2\u4e8c\u6b21\u51fd\u6578\u5605\u201c\u6975\u5927\u503c\u201d\uff08minimum value\uff09\u3002<\/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-1ba8820 elementor-widget elementor-widget-text-editor\" data-id=\"1ba8820\" 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>2.3.2 \u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u7684\u7279\u5fb5\u8207\u7cfb\u6578\u7684\u95dc\u4fc2<\/h3>\n<p>\u77e5\u9053\u5497\u4e8c\u6b21\u51fd\u6578\u5716\u50cf\u7684\u7279\u5fb5\u5f8c\uff0c\u6211\u5730\u8981\u5b78\u5605\u4fc2\u9ede\u6a23\u5f9e\u984c\u76ee\u4ffe\u4f60\u5605\u51fd\u6578\uff08\u5982y = x<sup>2<\/sup> + 5x + 1\uff09\u569f\u6c7a\u5b9a\u500b\u5716\u5605\u6a23\u3002<\/p>\n<ul>\n<li>HKDSE \u6578\u5b78\u5377\u4e8c (MC\u5377) \u597d\u9418\u610f\u8003\u4f9d\u500bconcept\u3002\n<ul>\n<li>\u984c\u76ee\u4fc2\u597d\u53ef\u80fd\u6703\u4ffe\u500b\u5716\u4f60\uff0c\u554f\u4f60a\u3001b\u540cc\u4fc2\u6b63\u5b9a\u8ca0\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u505a\u4f9d\u985e\u984c\u76ee\u5605\u6280\u5de7\u4fc2\u8981\u660e\u767d\u201ca\u3001b\u540cc\u9ede\u5f71\u97ff\u5716\u6a23\u5605\u6a23\u201d\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-ff5c833 elementor-widget elementor-widget-accordion\" data-id=\"ff5c833\" 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-2671\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-2671\" 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\">\u958b\u53e3\u65b9\u5411\u201d\u53d6\u6c7a\u65bca\u5605\u6b63\u8ca0<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2671\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-2671\"><ul><li>a &gt; 0 \u5373\u958b\u53e3\u5411\u4e0a\u3002<\/li><li>a &lt; 0 \u5373\u958b\u53e3\u5411\u4e0b\u3002<\/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-2672\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-2672\" 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-\u8ef8\u622a\u8ddd\u53d6\u6c7a\u65bcc<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2672\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-2672\"><ul><li>c = y-\u8ef8\u622a\u8ddd<ul><li>\u56e0\u7576x=0\u6642\uff0c\u4ee3\u5165\u51fd\u6578\u53ef\u5f97 y = a(0)<sup>2<\/sup> + b(0) + c = c<\/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-2673\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-2673\" 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\">\u6839\u5605\u6578\u76ee\u53d6\u6c7a\u65bc\u5224\u5225\u5f0f \\(b^{2} \u2013 4ac\\)<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2673\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-2673\"><ul><li>\u5982\u679cb<sup>2<\/sup> \u2013 4ac &gt; 0\u5c31\u6709\u5169\u500b\u6839<ul><li>\u500b\u5716\u6703\u7a7f\u904ex-\u8ef8\u5169\u6b21<\/li><\/ul><\/li><li>\u5982\u679cb<sup>2<\/sup> \u2013 4ac = 0\u5c31\u6709\u4e00\u500b\u6839<ul><li>\u500b\u5716\u53ea\u6703\u6382\u5230x-\u8ef8\u4e00\u6b21<\/li><\/ul><\/li><li>\u5982\u679cb<sup>2<\/sup> \u2013 4ac &lt; 0\u5c31\u5187\u5be6\u6839<ul><li>\u500b\u5716\u5514\u6703\u6382\u5230x-\u8ef8<\/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-2674\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-2674\" 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\">\u5c0d\u7a31\u8ef8\u4fc2 x = -b\/2a<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2674\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-2674\"><ul><li>\u5373\u4fc2\u8981\u8a08\u6216\u5224\u65b7 \u2013b\/2a \u5605\u503c\u4fc2\u6b63\u5b9a\u8ca0<ul><li>\u5982\u679c \u2013b\/2a &gt; 0\u5373\u4fc2\u5c0d\u7a31\u8ef8\u55bay-\u8ef8\u5605\u53f3\u908a\uff0c\u500b\u5716\u6703\u9760\u53f3\u3002<\/li><li>\u5982\u679c \u2013b\/2a &lt; 0\u5373\u4fc2\u5c0d\u7a31\u8ef8\u55bay-\u8ef8\u5605\u5de6\u908a\uff0c\u500b\u5716\u6703\u9760\u5de6\u3002<\/li><\/ul><\/li><li>\u53c8\u6216\u8005\u5f9e\u5716\u50cf\u4e2d\u5c0d\u7a31\u8ef8\u4fc2\u55ba\u6b63\u55f0\u908a\u5b9a\u55ba\u8ca0\u55f0\u908a\uff0c\u518d\u52a0\u4e0a\u5df2\u77e5 a \u5605\u6b63\u8ca0\u569f\u6c7a\u5b9a b\u5605\u6b63\u8ca0<\/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-2675\" class=\"elementor-tab-title\" data-tab=\"5\" role=\"button\" aria-controls=\"elementor-tab-content-2675\" 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\">\u9802\u9ede\u5750\u6a19\u53ef\u76f4\u63a5\u7531\u5716\u7747<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2675\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"region\" aria-labelledby=\"elementor-tab-title-2675\"><ul><li>\u9802\u9ede\u5605\u5750\u6a19\u53ef\u4ee5\u76f4\u63a5\u7747\u5716\u3002<\/li><li>\u00a0\u5982\u679c\u8981\u8a08\u5c31\u7528\u4ee5\u4e0b\u65b9\u6cd5\uff1a<ul><li>\u9802\u9ede\u5605x\u5750\u6a19 = -b\/2a\u3000(\u5373\u4fc2\u5c0d\u7a31\u8ef8\u5605\u4f4d\u7f6e)<\/li><li>\u6709\u5497\u201c\u9802\u9ede\u5605x\u5750\u6a19\u201d\u4e4b\u5f8c\uff0c\u53ef\u4ee5\u4ee3\u5165\u51fd\u6578\u8a08\u76f8\u61c9\u5605y\u503c\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-020ed6b elementor-widget elementor-widget-text-editor\" data-id=\"020ed6b\" 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>\u5b8c\u4f9d\u4e00\u7ae0\u7bc0\u4e4b\u524d\uff0c\u6211\u5730\u7747\u4e00\u500b\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-3768ff6 elementor-widget elementor-widget-accordion\" data-id=\"3768ff6\" 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-5811\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-5811\" 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\">\u4f8b\u5b50\uff1a \u7c97\u7565\u5283\u51fa \\(y = -x^{2} + 5x \u2013 7\\) \u7684\u5716\u50cf\u3002<\/a>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-5811\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-5811\"><p>\u5206\u6790\uff1a<\/p><ul><li>a &lt; 0<ul><li>\u6240\u4ee5\u958b\u53e3\u5411\u4e0b<\/li><\/ul><\/li><li>x=0\u6642\uff0cy = -7<ul><li>\u6240\u4ee5y-\u8ef8\u622a\u8ddd = -7<\/li><\/ul><\/li><li>b<sup>2<\/sup> \u2013 4ac = (5)<sup>2<\/sup> \u2013 4(-1)(-7) = -3 &lt; 0<ul><li>\u6240\u4ee5\u6c92\u6709\u6839\uff0c\u5373\u5716\u50cf\u4e0d\u6703\u8207x-\u8ef8\u76f8\u4ea4\u3002<\/li><\/ul><\/li><li>\u2013b\/2a = &#8211; (5) \/ 2(-1) = 2.5 &gt; 0<ul><li>\u6240\u4ee5\u5c0d\u7a31\u8ef8\u5728y-\u8ef8\u7684\u53f3\u908a<\/li><\/ul><\/li><\/ul><p>* \u77e5\u9053\u4ee5\u4e0a\u5e7e\u9ede\u4e4b\u5f8c\u5c31\u53ef\u4ee5\u5283\u5230\u201c\u96bb\u7897\u201d\u51fa\u569f<\/p><p><img decoding=\"async\" class=\"size-full wp-image-4821 aligncenter\" src=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-graph_of_quadratic_equation_example.webp\" alt=\"\u4e8c\u6b21\u51fd\u6578\u5716\u50cf - \u4f8b\u5b50\" width=\"318\" height=\"293\" srcset=\"https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-graph_of_quadratic_equation_example.webp 318w, https:\/\/www.study-together.com\/edu\/wp-content\/uploads\/2022\/01\/function_and_group-graph_of_quadratic_equation_example-300x276.webp 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><\/p><p><span style=\"color: #ff0000;\">\uff08\u516c\u958b\u8a66\u4fc2\u5514\u6703\u53eb\u4f60\u5283\u66f2\u7dda\u5605\uff0c\u4f9d\u500b\u4f8b\u5b50\u53ea\u4fc2\u60f3\u4f60\u660e\u767dD\u9053\u7406\u3002\uff09<\/span><\/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<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-332e54b4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"332e54b4\" 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-181cbc7b\" data-id=\"181cbc7b\" 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-5673dee5 elementor-widget elementor-widget-text-editor\" data-id=\"5673dee5\" 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\/function_and_graph\/function_notation_and_representation\/\">\u51fd\u6578\u7684\u8a18\u6cd5\u53ca\u8868\u9039\u65b9\u6cd5<\/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-3d104953\" data-id=\"3d104953\" 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-7ccfedd6\" data-id=\"7ccfedd6\" 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-514f5aac elementor-widget elementor-widget-text-editor\" data-id=\"514f5aac\" 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\/function_and_graph\/max_and_min_value_of_quadratic_function\/\">\u4e8c\u6b21\u51fd\u6578\u7684\u6975\u5927\u548c\u6975\u5c0f\u503c<\/a>\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; \u6578\u64da\u8655\u7406<\/a><\/li>\n<li  id=\"menu-item-3290\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3290\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_algebra\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u6578\u8207\u4ee3\u6578<\/a><\/li>\n<li  id=\"menu-item-3288\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3288\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental-shape_n_space\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; \u5ea6\u91cf\u3001\u5716\u5f62\u8207\u7a7a\u9593<\/a><\/li>\n<li  id=\"menu-item-3289\" class=\"menu-item menu-item-type-post_type menu-item-object-page menu-item-3289\"><a href=\"https:\/\/www.study-together.com\/edu\/dse-maths-core\/non_fundamental_data_handling\/\" class=\"menu-link\">\u975e\u57fa\u790e &#8211; 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