{"id":1769,"date":"2020-08-14T11:03:12","date_gmt":"2020-08-14T03:03:12","guid":{"rendered":"https:\/\/www.study-together.com\/edu\/?page_id=1769"},"modified":"2020-11-02T13:41:20","modified_gmt":"2020-11-02T05:41:20","slug":"solving-equation-intro","status":"publish","type":"page","link":"https:\/\/www.study-together.com\/edu\/dse-maths-core\/junior_summary\/solving-equation-intro\/","title":{"rendered":"1. \u89e3\u65b9\u7a0b > \u5f15\u8a00"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1769\" class=\"elementor elementor-1769\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1d09859 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1d09859\" 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-eef38d0\" data-id=\"eef38d0\" 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-9d11f1d elementor-widget elementor-widget-text-editor\" data-id=\"9d11f1d\" 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>1.1 \u5f15\u8a00 &#8211; \u54a9\u4fc2\u300c\u89e3\u65b9\u7a0b\u300d??<\/h2><p>\u7c21\u55ae\u569f\u8b1b\uff1a<\/p><ul><li>\u201c\u89e3\u65b9\u7a0b\u201d\u4fc2\u8a08\u5413\u5230\u5e95\u500b\u672a\u77e5\u6578\uff08unknown\uff09\uff58\u4fc2\u7b49\u65bc\u5e7e\u591a\u5605\u6642\u5019\u689d\u65b9\u7a0b\u5148\u6703\u5571 (\u5373\u5de6\u908a\u5605\u6578\u503c\u7b49\u65bc\u53f3\u908a\u5605\u6578\u503c)<\/li><li>\u201c\u89e3\u65b9\u7a0b\u201d\u4fc2\u7528\u569f\u6c42\u672a\u77e5\u6578\u5605\u4e00\u500b\u5fc5\u8981\u6280\u5de7! <br \/>\u540c\u5b78\u4e00\u5b9a\u8981\u638c\u63e1\u597d!\u540c\u5b78\u4e00\u5b9a\u8981\u638c\u63e1\u597d!\u540c\u5b78\u4e00\u5b9a\u8981\u638c\u63e1\u597d! (\u91cd\u8981\u4e8b\u60c5\u8aaa\u4e09\u904d)<\/li><\/ul><p style=\"text-align: left;\">\u4f8b1\uff1a\u00a0\u00a0\u00a0 \\(\u89e3 \\quad 3x = 6\\)<br \/>\u7b54\uff1a\u00a0\u00a0\u00a0\u00a0<\/p><p style=\"text-align: left; padding-left: 40px;\">\\(\\begin{align}<br \/>3x &amp; = 6 \\\\<br \/>x &amp; = \\dfrac{6}{3} \\\\<br \/>x &amp; = 2<br \/>\\end{align}\\)<\/p><p style=\"padding-left: 40px;\"><span style=\"color: #ff0000;\">\u201cx = 2\u201d\u4fc2\u7b54\u6848\u56e0\u70ba\u53ea\u6709\u7576x\u4fc22\u5605\u6642\u5019\uff0c\u65b9\u7a0b\u624d\u6703\u6210\u7acb\u3002<\/span><br \/>\u5373\u7b49\u865f\u5de6\u908a3x\u5605\u503c\u7b49\u65bc \\( 3 x 2 = 6\\)\uff0c\u5373\u7b49\u65bc\u7b49\u865f\u53f3\u908a\u56056\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-5e9aa6f elementor-widget elementor-widget-text-editor\" data-id=\"5e9aa6f\" 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>\u55ba\u521d\u4e2d\u5605\u6642\u5019\uff0c\u5927\u5bb6\u5df2\u7d93\u5b78\u904e\u89e3\u4ee5\u4e0b\u5605\u5169\u7a2e\u65b9\u7a0b\uff1a<\/h2><ul><li>\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b (linear equation in one unknown)<\/li><li>\u4e8c\u5143\u4e00\u6b21\u806f\u7acb\u65b9\u7a0b (simultaneous equations in 2 unknowns)<\/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-bd0f309 elementor-widget elementor-widget-text-editor\" data-id=\"bd0f309\" 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><strong>\u5c0f\u89e3\u91cb\uff1a<\/strong><\/h2><ul><li><u>\u4ec0\u9ebc\u662f\u201c\u5143\u201d<br \/><\/u>\u201c\u5143\u201d\u5373\u201c\u672a\u77e5\u6578\u201d\u3002<\/li><\/ul><p style=\"padding-left: 40px;\">\u4f8b2:\u00a0\u00a0\u00a0 \u65b9\u7a0b\u30003x + 5 = 8\u3000\u4e2d\uff0c\u53ea\u6709\u4e00\u500b\u672a\u77e5\u6578\u201cx\u201d\u3002\u6240\u4ee5\u9019\u662f\u4e00\u689d\u3000\u201c\u4e00\u5143\u201d\u65b9\u7a0b<br \/>\u4f8b3:\u00a0\u00a0 \u65b9\u7a0b\u30003x + y = 8\u3000\u4e2d\uff0c\u6709\u5169\u500b\u672a\u77e5\u6578\u201cx\u201d\u548c\u201c\uff59\u201d\u3002\u6240\u4ee5\u9019\u662f\u4e00\u689d\u3000\u201c\u4e8c\u5143\u201d\u65b9\u7a0b<\/p><ul><li><u>\u4ec0\u9ebc\u662f\u201c\u6b21\u201d<br \/><\/u>\u201c\u6b21\u201d\u5373\u201c\u6b21\u65b9\u201d\u3002<\/li><\/ul><p style=\"padding-left: 40px;\">\u4f8b4:\u00a0\u00a0\u00a0 \u65b9\u7a0b\u3000\\(3x^{2} + 5x \u2013 8 = 0\\) \u4e2d\uff0c\u53ea\u6709\u4e00\u500b\u672a\u77e5\u6578\u201cx\u201d\u800c\u5176\u4e2d\u6700\u9ad8\u7684\u6307\u6578\u70ba\u201c2\u201d\u3002<br \/>\u6240\u4ee5\u9019\u662f\u4e00\u689d\u3000\u4e00\u5143\u201c\u4e8c\u6b21\u201d\u65b9\u7a0b<\/p><ul><li><u>\u4ec0\u9ebc\u662f\u201c\u806f\u7acb\u201d<br \/><\/u>\u201c\u806f\u7acb\u201d\u5373\u201c\u540c\u6642\u6210\u7acb\u201d\u3002<\/li><\/ul><p style=\"padding-left: 40px;\">\u4f8b5:\u00a0\u00a0\u00a0\u00a0 \u8003\u616e\u65b9\u7a0b\u3000x + y = 5<br \/>\u4ee4\u65b9\u7a0b\u53ef\u4ee5\u6210\u7acb\u5605\u7b54\u6848\u4fc2\u6709\u7121\u9650\u5481\u591a\uff0c\u4f8b\u5982\u53ef\u4ee5\u4fc2\u201cx=1, y=4\u201d\u3001\u201cx=2, y=3\u201d\u3001\u201cx=3, y=2\u201d\u7b49\u7b49\u3002<br \/>\u4f46\u5047\u5982\u4f9d\u500b\u6642\u5019\u52a0\u591a\u4e00\u689d\u65b9\u7a0b\u3000x \u2013 y = 1\uff0c\u4eca\u4f62\u540c x + y = 5 \u6210\u70ba\u4e00\u5c0d\u201c\u806f\u7acb\u65b9\u7a0b\u201d\uff0c\u5481\u201cx=2, y=3\u201d\u5c31\u5514\u6703\u4fc2\u7b54\u6848\u3002\u5481\u4fc2\u56e0\u70ba\u5982\u679c\u201cx=2, y=3\u201d \u5605\u8a71\uff0cx \u2013 y = 2 \u2013 3 = -1 \u2260 1\u3002<br \/>\u4f9d\u5c0d\u806f\u7acb\u65b9\u7a0b\u5605\u7b54\u6848\u4fc2\u201cx=3, y=2\u201d\uff08\u53ea\u6709\u5b83\u53ef\u4ee5\u540c\u6642\u4f7f\u65b9\u7a0b x + y = 5 \u53ca x \u2013 y = 1\u6210\u7acb\uff09\u3002<\/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-7f831aa elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7f831aa\" 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-df9f8d2\" data-id=\"df9f8d2\" 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-bddce13\" data-id=\"bddce13\" 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-4944292\" data-id=\"4944292\" 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-df76d71 elementor-widget elementor-widget-text-editor\" data-id=\"df76d71\" 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\/junior_summary\/solving-equation-basic\/\">\u89e3\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b<\/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-747f6e5\" data-id=\"747f6e5\" 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-698cc3a elementor-widget elementor-widget-sidebar\" data-id=\"698cc3a\" 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; \u6578\u64da\u8655\u7406<\/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>1.1 \u5f15\u8a00 &#8211; \u54a9\u4fc2\u300c\u89e3\u65b9\u7a0b\u300d?? \u7c21\u55ae\u569f\u8b1b\uff1a \u201c\u89e3\u65b9\u7a0b\u201d\u4fc2\u8a08\u5413\u5230\u5e95\u500b\u672a\u77e5\u6578\uff08unknown\uff09\uff58 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