{"id":3373,"date":"2024-12-30T06:39:58","date_gmt":"2024-12-30T06:39:58","guid":{"rendered":"https:\/\/xworld-wangxw.top\/?page_id=3373"},"modified":"2025-01-02T08:09:52","modified_gmt":"2025-01-02T08:09:52","slug":"%e6%95%b0%e5%ad%a6%ef%bc%88%e4%b9%9d%e4%b8%8a%ef%bc%89-%e7%ac%ac%e4%ba%8c%e5%8d%81%e4%b8%80%e7%ab%a0-%e4%b8%80%e5%85%83%e4%ba%8c%e6%ac%a1%e6%96%b9%e7%a8%8b","status":"publish","type":"page","link":"https:\/\/xworld-wangxw.top\/?page_id=3373","title":{"rendered":"\u6570\u5b66\uff08\u4e5d\u4e0a\uff09-  \u7b2c\u4e8c\u5341\u4e00\u7ae0    \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b"},"content":{"rendered":"\n<div class=\"wp-block-uagb-container uagb-block-61b7f5e0 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-34c1d7b7\"><h1 class=\"uagb-heading-text\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">\u6570\u5b66\uff08\u4e5d\u4e0a\uff09- <mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\"><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">\u7b2c\u4e8c\u5341\u4e00\u7ae0 \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/mark><\/mark><\/mark><\/h1><\/div>\n<\/div><\/div>\n\n\n\t\t\t\t<div class=\"wp-block-uagb-table-of-contents uagb-toc__align-left uagb-toc__columns-1  uagb-block-e4f22670      \"\n\t\t\t\t\tdata-scroll= \"1\"\n\t\t\t\t\tdata-offset= \"30\"\n\t\t\t\t\tstyle=\"\"\n\t\t\t\t>\n\t\t\t\t<div class=\"uagb-toc__wrap\">\n\t\t\t\t\t\t<div class=\"uagb-toc__title\">\n\t\t\t\t\t\t\tTable Of Contents\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"uagb-toc__list-wrap \">\n\t\t\t\t\t\t<ol class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#\u6570\u5b66\u4e5d\u4e0a-\u7b2c\u4e8c\u5341\u4e00\u7ae0-\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\" class=\"uagb-toc-link__trigger\">\u6570\u5b66\uff08\u4e5d\u4e0a\uff09- \u7b2c\u4e8c\u5341\u4e00\u7ae0 \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/a><ul class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#211-\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\" class=\"uagb-toc-link__trigger\">21.1 \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#212-\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\" class=\"uagb-toc-link__trigger\">21.2 \u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/a><ul class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#2121-\u914d\u65b9\u6cd5\" class=\"uagb-toc-link__trigger\">21.2.1 \u914d\u65b9\u6cd5<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#2122-\u516c\u5f0f\u6cd5\" class=\"uagb-toc-link__trigger\">21.2.2 \u516c\u5f0f\u6cd5<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#2122-\u56e0\u5f0f\u5206\u89e3\u6cd5\" class=\"uagb-toc-link__trigger\">21.2.2 \u56e0\u5f0f\u5206\u89e3\u6cd5<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#2122-\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb\" class=\"uagb-toc-link__trigger\">21.2.2 \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb<\/a><\/li><\/ul><li class=\"uagb-toc__list\"><a href=\"#\u5c0f\u7ed3\" class=\"uagb-toc-link__trigger\">\u5c0f\u7ed3<\/a><ul class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#\u4e00\u672c\u7ae0\u77e5\u8bc6\u7ed3\u6784\u56fe\" class=\"uagb-toc-link__trigger\">\u4e00\u3001\u672c\u7ae0\u77e5\u8bc6\u7ed3\u6784\u56fe<\/a><li class=\"uagb-toc__list\"><li class=\"uagb-toc__list\"><a href=\"#\u4e8c\u56de\u987e\u4e0e\u601d\u8003\" class=\"uagb-toc-link__trigger\">\u4e8c\u3001\u56de\u987e\u4e0e\u601d\u8003<\/a><\/ul><\/ul><\/ol>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\n\n\n<div class=\"wp-block-uagb-container uagb-block-9729ebae alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-54c6251b\"><h2 class=\"uagb-heading-text\">21.1 \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/h2><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>3y<sup>2<\/sup> &#8211; 5y = 7 &#8211; y\uff0c \u50cf\u8fd9\u6837\uff0c\u7b49\u53f7\u4e24\u8fb9\u90fd\u662f\u6574\u5f0f\uff0c\u53ea\u542b\u6709\u4e00\u4e2a\u672a\u77e5\u6570\uff08<strong>\u4e00\u5143<\/strong>\uff09\uff0c\u5e76\u4e14\u672a\u77e5\u6570\u7684\u6700\u9ad8\u6b21\u6570\u662f2\uff08<strong>\u4e8c\u6b21<\/strong>\uff09\u7684\u65b9\u7a0b\uff0c\u53eb\u505a<strong>\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\uff08quadratic equation in one unknown\uff09<\/strong>\u3002<\/li>\n\n\n\n<li>\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u4e00\u822c\u5f62\u5f0f\u662f\uff1a ax<sup>2<\/sup> + bx + c = 0 \uff08a\u4e0d\u7b49\u4e8e0\uff09\u3002<\/li>\n\n\n\n<li>\u5176\u4e2dax<sup>2<\/sup>\u662f\u4e8c\u6b21\u9879\uff0ca\u662f\u4e8c\u6b21\u9879\u7cfb\u6570\uff1bbx\u662f\u4e00\u6b21\u9879\uff0cb\u662f\u4e00\u6b21\u9879\u7cfb\u6570\uff1bc\u662f\u5e38\u6570\u9879\u3002<\/li>\n\n\n\n<li>\u4f7f\u65b9\u7a0b\u5de6\u53f3\u4e24\u8fb9\u76f8\u7b49\u7684\u672a\u77e5\u6570\u7684\u503c\u5c31\u662f\u8fd9\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\uff0c\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\u4e5f\u53eb\u505a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684<strong>\u6839<\/strong>\uff08root\uff09\u3002<\/li>\n<\/ul>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-f9807fc3 alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-5d5d3326\"><h2 class=\"uagb-heading-text\">21.2 \u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b<\/h2><\/div>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-e4eba9d4\"><h3 class=\"uagb-heading-text\">21.2.1 \u914d\u65b9\u6cd5<\/h3><\/div>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u4e00\u822c\u5730\uff0c\u5bf9\u4e8e\u65b9\u7a0b  <strong>x<sup>2<\/sup>  = p    \uff08I\uff09<\/strong>\uff0c <\/li>\n\n\n\n<li><strong>(1) <\/strong>\u5f53p > 0\u65f6\uff0c\u6839\u636e\u5e73\u65b9\u6839\u7684\u610f\u4e49\uff0c\u65b9\u7a0b<strong>\uff08I\uff09<\/strong>\u6709\u4e24\u4e2a\u4e0d\u7b49\u7684\u5b9e\u6570\u6839\n<ul class=\"wp-block-list\">\n<li>x<sub>1<\/sub> = -\u221aP, x<sub>2<\/sub> = \u221aP<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>(2) <\/strong>\u5f53p = 0\u65f6\uff0c\u65b9\u7a0b<strong>\uff08I\uff09<\/strong>\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839 x<sub>1<\/sub> = x<sub>2<\/sub> = 0\uff1b<\/li>\n\n\n\n<li><strong>(3) <\/strong>\u5f53p &lt; 0\u65f6\uff0c\u56e0\u4e3a\u5bf9\u4efb\u610f\u5b9e\u6570x\uff0c\u90fd\u6709x<sup>2<\/sup> >= 0\uff0c\u6240\u4ee5\u65b9\u7a0b<strong>\uff08I\uff09<\/strong>\u65e0\u5b9e\u6570\u6839\u3002<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-0cd68eee wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102135345.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102135345.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102135345.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102135345.jpg\" alt=\"\" class=\"uag-image-3411\" width=\"927\" height=\"247\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102135345\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<p>\u50cf\u4e0a\u9762\u90a3\u6837\uff0c\u901a\u8fc7\u914d\u6210\u5b8c\u5168\u5e73\u65b9\u5f62\u5f0f\u6765\u89e3\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u65b9\u6cd5\u53eb\u505a<strong>\u914d\u65b9\u6cd5<\/strong>\u3002\u53ef\u4ee5\u770b\u51fa\uff0c\u914d\u65b9\u662f\u4e3a\u4e86\u964d\u6b21\uff0c\u628a\u4e00\u4e2a\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u8f6c\u5316\u6210\u4e24\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\u6765\u89e3\u3002<\/p>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-26a23dd4 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102141219.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102141219.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102141219.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102141219.jpg\" alt=\"\" class=\"uag-image-3415\" width=\"977\" height=\"826\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102141219\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-391a924d\"><h3 class=\"uagb-heading-text\">21.2.2 \u516c\u5f0f\u6cd5<\/h3><\/div>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-6ebc79ba wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102144017.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102144017.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102144017.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102144017.jpg\" alt=\"\" class=\"uag-image-3427\" width=\"1059\" height=\"709\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102144017\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-cbe06178 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142110.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142110.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142110.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142110.jpg\" alt=\"\" class=\"uag-image-3418\" width=\"940\" height=\"305\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102142110\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-0ec73236 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142231.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142231.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142231.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102142231.jpg\" alt=\"\" class=\"uag-image-3420\" width=\"1054\" height=\"436\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102142231\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-4d99eaf0\"><h3 class=\"uagb-heading-text\">21.2.2 \u56e0\u5f0f\u5206\u89e3\u6cd5<\/h3><\/div>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-fd196dac wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753-1024x299.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753-1024x299.jpg\" alt=\"\" class=\"uag-image-3435\" width=\"940\" height=\"305\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102152753\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-9c0c1cbc wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753-1024x299.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102152753-1024x299.jpg\" alt=\"\" class=\"uag-image-3435\" width=\"940\" height=\"305\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102152753\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-uagb-advanced-heading uagb-block-4669748d\"><h3 class=\"uagb-heading-text\">21.2.2 \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u6839\u4e0e\u7cfb\u6570\u7684\u5173\u7cfb<\/h3><\/div>\n\n\n\n<div class=\"wp-block-uagb-image alignleft uagb-block-60c56d96 wp-block-uagb-image--layout-default wp-block-uagb-image--effect-static wp-block-uagb-image--align-left\"><figure class=\"wp-block-uagb-image__figure\"><img decoding=\"async\" srcset=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102153625.jpg ,https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102153625.jpg 780w, https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102153625.jpg 360w\" sizes=\"auto, (max-width: 480px) 150px\" src=\"https:\/\/xworld-wangxw.top\/wp-content\/uploads\/2025\/01\/\u5fae\u4fe1\u622a\u56fe_20250102153625.jpg\" alt=\"\" class=\"uag-image-3439\" width=\"940\" height=\"305\" title=\"\u5fae\u4fe1\u622a\u56fe_20250102153625\" loading=\"lazy\" role=\"img\"\/><\/figure><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-container uagb-block-4382119e alignfull uagb-is-root-container\"><div class=\"uagb-container-inner-blocks-wrap\">\n<div class=\"wp-block-uagb-advanced-heading uagb-block-0ed5a99c\"><h2 class=\"uagb-heading-text\">\u5c0f\u7ed3<\/h2><\/div>\n\n\n\n<div 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