{"id":336,"date":"2025-03-27T21:45:10","date_gmt":"2025-03-27T13:45:10","guid":{"rendered":"https:\/\/tilearn.space\/?p=336"},"modified":"2025-03-27T21:46:59","modified_gmt":"2025-03-27T13:46:59","slug":"2024%e5%b1%8a%e5%ae%9d%e5%b1%b1%e5%8c%ba%e5%88%9d%e4%b8%89%e4%ba%8c%e6%a8%a1%e6%95%b0%e5%ad%a6%e8%af%95%e5%8d%b7%e7%b2%be%e8%ae%b2%ef%bc%88%e7%ac%ac20%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=336","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c20\u9898\uff09"},"content":{"rendered":"<div>\n<p>\u9898\u76ee\uff1a\u89e3\u65b9\u7a0b\uff1a\\(\\frac{3}{x+1} = \\frac{1}{2x} + 1\\)<\/p>\n<\/div>\n<div>\n<p>\u8be6\u7ec6\u89e3\u7b54\uff1a<\/p>\n<p>\u9996\u5148\uff0c\u6211\u4eec\u6765\u89e3\u8fd9\u4e2a\u65b9\u7a0b\u3002\u65b9\u7a0b\u662f \\(\\frac{3}{x+1} = \\frac{1}{2x} + 1\\)\u3002<\/p>\n<p>\u6b65\u9aa41\uff1a\u5c06\u65b9\u7a0b\u4e24\u8fb9\u901a\u5206\uff0c\u5f97\u5230\u4e00\u4e2a\u5171\u540c\u7684\u5206\u6bcd\u3002<\/p>\n<p>\u65b9\u7a0b\u53d8\u4e3a\uff1a\\(\\frac{3}{x+1} &#8211; \\frac{1}{2x} = 1\\)\u3002<\/p>\n<p>\u6b65\u9aa42\uff1a\u627e\u5230\u516c\u5171\u5206\u6bcd \\(2x(x+1)\\)\uff0c\u7136\u540e\u5bf9\u6bcf\u4e00\u9879\u8fdb\u884c\u8c03\u6574\u3002<\/p>\n<p>\\(\\frac{6x &#8211; (x+1)}{2x(x+1)} = 1\\)\u3002<\/p>\n<p>\u6b65\u9aa43\uff1a\u5316\u7b80\u5206\u5b50\u3002<\/p>\n<p>\\(\\frac{5x &#8211; 1}{2x(x+1)} = 1\\)\u3002<\/p>\n<p>\u6b65\u9aa44\uff1a\u5c06\u7b49\u5f0f\u4e24\u8fb9\u4e58\u4ee5\u5206\u6bcd \\(2x(x+1)\\)\u3002<\/p>\n<p>\\(5x &#8211; 1 = 2x(x+1)\\)\u3002<\/p>\n<p>\u6b65\u9aa45\uff1a\u5c55\u5f00\u5e76\u6574\u7406\u65b9\u7a0b\u3002<\/p>\n<p>\\(5x &#8211; 1 = 2x^2 + 2x\\)\u3002<\/p>\n<p>\u6b65\u9aa46\uff1a\u79fb\u9879\uff0c\u4f7f\u65b9\u7a0b\u4e3a\u6807\u51c6\u5f62\u5f0f\u3002<\/p>\n<p>\\(0 = 2x^2 &#8211; 3x + 1\\)\u3002<\/p>\n<p>\u6b65\u9aa47\uff1a\u4f7f\u7528\u6c42\u6839\u516c\u5f0f\u89e3\u4e8c\u6b21\u65b9\u7a0b\u3002\uff08\u5341\u5b57\u76f8\u4e58\u4e5f\u53ef\u4ee5\uff09<\/p>\n<p>\\(x = \\frac{-(-3) \\pm \\sqrt{(-3)^2 &#8211; 4 \\cdot 2 \\cdot 1}}{2 \\cdot 2}\\)\u3002<\/p>\n<p>\\(x = \\frac{3 \\pm \\sqrt{9 &#8211; 8}}{4}\\)\u3002<\/p>\n<p>\\(x = \\frac{3 \\pm 1}{4}\\)\u3002<\/p>\n<p>\u56e0\u6b64\uff0c\\(x_1 = 1\\) \u548c \\(x_2 = \\frac{1}{2}\\)\u3002<\/p>\n<\/div>\n<div>\n<p>\u76f8\u5173\u77e5\u8bc6\u70b9\u590d\u4e60\uff1a<\/p>\n<p>1. \u5206\u5f0f\u7684\u52a0\u51cf\u6cd5\uff1a\u5728\u89e3\u542b\u6709\u5206\u5f0f\u7684\u65b9\u7a0b\u65f6\uff0c\u9700\u8981\u627e\u5230\u516c\u5171\u5206\u6bcd\uff0c\u5e76\u5c06\u5404\u9879\u8f6c\u6362\u4e3a\u5177\u6709\u76f8\u540c\u5206\u6bcd\u7684\u5f62\u5f0f\u3002<br \/>\n2. \u4e8c\u6b21\u65b9\u7a0b\u7684\u89e3\u6cd5\uff1a\u901a\u8fc7\u6c42\u6839\u516c\u5f0f\u53ef\u4ee5\u89e3\u51fa\u4e8c\u6b21\u65b9\u7a0b\u7684\u6839\u3002<\/p>\n<\/div>\n<div>\n<p>\u6613\u9519\u63d0\u793a\u548c\u62d3\u5c55\uff1a<\/p>\n<p>1. \u5728\u89e3\u542b\u6709\u5206\u5f0f\u7684\u65b9\u7a0b\u65f6\uff0c\u8981\u6ce8\u610f\u68c0\u67e5\u89e3\u662f\u5426\u4f7f\u5f97\u539f\u65b9\u7a0b\u4e2d\u7684\u5206\u6bcd\u4e3a\u96f6\uff0c\u56e0\u4e3a\u8fd9\u4f1a\u5bfc\u81f4\u89e3\u65e0\u6548\u3002<br \/>\n2. \u5bf9\u4e8e\u4e8c\u6b21\u65b9\u7a0b\uff0c\u9664\u4e86\u4f7f\u7528\u6c42\u6839\u516c\u5f0f\u5916\uff0c\u8fd8\u53ef\u4ee5\u5c1d\u8bd5\u56e0\u5f0f\u5206\u89e3\u6216\u914d\u65b9\u6cd5\u6765\u89e3\u65b9\u7a0b\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u9898\u76ee\uff1a\u89e3\u65b9\u7a0b\uff1a\\(\\frac{3}{x+1} = \\frac{1}{2x} + 1\\) \u8be6\u7ec6\u89e3\u7b54\uff1a \u9996\u5148\uff0c\u6211\u4eec [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-336","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/336","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=336"}],"version-history":[{"count":3,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/336\/revisions"}],"predecessor-version":[{"id":339,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/336\/revisions\/339"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=336"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=336"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=336"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}