{"id":226,"date":"2025-03-21T01:20:58","date_gmt":"2025-03-20T17:20:58","guid":{"rendered":"https:\/\/tilearn.space\/?p=226"},"modified":"2025-03-21T01:28:32","modified_gmt":"2025-03-20T17:28:32","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%ac2%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=226","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c2\u9898\uff09"},"content":{"rendered":"

\u9898\u76ee2. \u5982\u679c\u5173\u4e8e \\(\\text{x}\\)<\/span> \u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \\(\\text{x}^2 – \\text{x} – m = 0\\)<\/span> \u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u90a3\u4e48\u5b9e\u6570 \\(\\text{m}\\)<\/span> \u7684\u503c\u662f\uff08\u25b2\uff09<\/strong><\/p>\n

(A) \\(-1\\)<\/span>; (B) \\(-\\frac{1}{4}\\)<\/span>; (C) \\(\\frac{1}{4}\\)<\/span>; (D) \\(1\\)<\/span>.<\/p>\n

\n

\u8be6\u7ec6\u8bb2\u89e3\uff1a<\/strong><\/p>\n

\u9898\u76ee\u8981\u6c42\u6211\u4eec\u627e\u5230\u4f7f\u5f97\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \\(\\text{x}^2 – \\text{x} – m = 0\\)<\/span> \u6709\u4e24\u4e2a\u76f8\u7b49\u5b9e\u6570\u6839\u7684 \\(\\text{m}\\)<\/span> \u7684\u503c\u3002\u6839\u636e\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u5224\u522b\u5f0f\u516c\u5f0f\uff0c\u5bf9\u4e8e\u4e00\u822c\u5f62\u5f0f\u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \\(\\text{ax}^2 + \\text{bx} + \\text{c} = 0\\)<\/span>\uff0c\u5176\u5224\u522b\u5f0f\u4e3a \\(\\Delta = \\text{b}^2 – 4\\text{ac}\\)<\/span>\u3002<\/p>\n

\u5f53\u5224\u522b\u5f0f \\(\\Delta = 0\\)<\/span> \u65f6\uff0c\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff1b\u5f53 \\(\\Delta > 0\\)<\/span> \u65f6\uff0c\u65b9\u7a0b\u6709\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff1b\u5f53 \\(\\Delta < 0\\)<\/span> \u65f6\uff0c\u65b9\u7a0b\u6ca1\u6709\u5b9e\u6570\u6839\u3002<\/p>\n

\u5bf9\u4e8e\u9898\u76ee\u4e2d\u7684\u65b9\u7a0b \\(\\text{x}^2 – \\text{x} – m = 0\\)<\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230 \\(\\text{a} = 1\\)<\/span>, \\(\\text{b} = -1\\)<\/span>, \\(\\text{c} = -m\\)<\/span>\u3002\u56e0\u6b64\uff0c\u5224\u522b\u5f0f\u4e3a\uff1a<\/p>\n

\\(\\Delta = (-1)^2 – 4 \\cdot 1 \\cdot (-m)\\)<\/span><\/p>\n

\u5316\u7b80\u5f97\uff1a<\/p>\n

\\(\\Delta = 1 + 4m\\)<\/span><\/p>\n

\u8981\u4f7f\u65b9\u7a0b\u6709\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\uff0c\u6211\u4eec\u9700\u8981 \\(\\Delta = 0\\)<\/span>\uff0c\u5373\uff1a<\/p>\n

\\(1 + 4m = 0\\)<\/span><\/p>\n

\u89e3\u5f97\uff1a<\/p>\n

\\(m = -\\frac{1}{4}\\)<\/span><\/p>\n

\u56e0\u6b64\uff0c\u6b63\u786e\u7b54\u6848\u662f (B) \\(-\\frac{1}{4}\\)<\/span>\u3002<\/p>\n<\/div>\n

\n

\u76f8\u5173\u77e5\u8bc6\u70b9\u590d\u4e60\uff1a<\/strong><\/p>\n

1. \u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b\u7684\u57fa\u672c\u5f62\u5f0f\u53ca\u5176\u89e3\u6cd5\u3002<\/p>\n

2. \u5224\u522b\u5f0f\u7684\u6982\u5ff5\u53ca\u5176\u5e94\u7528\u3002<\/p>\n

3. \u65b9\u7a0b\u6839\u7684\u6027\u8d28\uff1a\u4e24\u4e2a\u76f8\u7b49\u7684\u5b9e\u6570\u6839\u3001\u4e24\u4e2a\u4e0d\u76f8\u7b49\u7684\u5b9e\u6570\u6839\u3001\u65e0\u5b9e\u6570\u6839\u3002<\/p>\n<\/div>\n

\n

\u6613\u9519\u9898\u578b\u53ca\u6613\u9519\u70b9\u6269\u5c55\uff1a<\/strong><\/p>\n

1. \u6613\u9519\u70b9\u5728\u4e8e\u5bf9\u5224\u522b\u5f0f\u7684\u7406\u89e3\u548c\u8ba1\u7b97\uff0c\u7279\u522b\u662f\u5f53\u65b9\u7a0b\u7cfb\u6570\u4e3a\u8d1f\u6570\u65f6\u5bb9\u6613\u51fa\u9519\u3002<\/p>\n

2. \u53e6\u4e00\u4e2a\u5e38\u89c1\u7684\u9519\u8bef\u662f\u5ffd\u7565\u65b9\u7a0b\u6839\u7684\u6027\u8d28\uff0c\u76f4\u63a5\u6c42\u89e3\u800c\u4e0d\u9a8c\u8bc1\u5224\u522b\u5f0f\u7684\u503c\u3002<\/p>\n

3. \u5728\u5b9e\u9645\u95ee\u9898\u4e2d\uff0c\u6709\u65f6\u9700\u8981\u7ed3\u5408\u5177\u4f53\u60c5\u5883\u5224\u65ad\u65b9\u7a0b\u662f\u5426\u6709\u610f\u4e49\u7684\u6839\uff0c\u8fd9\u9700\u8981\u7efc\u5408\u8003\u8651\u65b9\u7a0b\u7684\u5b9e\u9645\u80cc\u666f\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u9898\u76ee2. \u5982\u679c\u5173\u4e8e \\(\\text{x}\\) \u7684\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \\(\\text{x}^2 – \\te […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-226","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/226","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\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=226"}],"version-history":[{"count":4,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/226\/revisions"}],"predecessor-version":[{"id":230,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/226\/revisions\/230"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=226"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=226"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=226"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}