{"id":334,"date":"2025-03-27T21:42:24","date_gmt":"2025-03-27T13:42:24","guid":{"rendered":"https:\/\/tilearn.space\/?p=334"},"modified":"2025-03-27T21:42:24","modified_gmt":"2025-03-27T13:42:24","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%ac19%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=334","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c19\u9898\uff09"},"content":{"rendered":"
\n

\u9898\u76ee\uff1a\\(8^{\\frac{2}{3}} – (\\sqrt{2} – 1)^{-1} – |\\sqrt{8} – 3|\\)\u3002<\/p>\n

\u8be6\u7ec6\u89e3\u7b54\uff1a<\/p>\n

\u9996\u5148\uff0c\u6211\u4eec\u9010\u6b65\u89e3\u6790\u6bcf\u4e2a\u90e8\u5206\uff1a<\/p>\n

1. \\(8^{\\frac{2}{3}}\\)<\/p>\n

\u7531\u4e8e \\(8 = 2^3\\)\uff0c\u56e0\u6b64 \\(8^{\\frac{2}{3}} = (2^3)^{\\frac{2}{3}} = 2^2 = 4\\)\u3002<\/p>\n

2. \\((\\sqrt{2} – 1)^{-1}\\)<\/p>\n

\u8fd9\u4e2a\u8868\u8fbe\u5f0f\u53ef\u4ee5\u5199\u4f5c \\(\\frac{1}{\\sqrt{2} – 1}\\)\uff0c\u4e3a\u4e86\u53bb\u9664\u5206\u6bcd\u4e2d\u7684\u6839\u53f7\uff0c\u6211\u4eec\u53ef\u4ee5\u4e58\u4ee5\u5171\u8f6d\u9879 \\(\\frac{\\sqrt{2} + 1}{\\sqrt{2} + 1}\\)\uff0c\u5f97\u5230 \\(\\frac{\\sqrt{2} + 1}{(\\sqrt{2})^2 – (1)^2} = \\frac{\\sqrt{2} + 1}{2 – 1} = \\sqrt{2} + 1\\)\u3002<\/p>\n

3. \\(|\\sqrt{8} – 3|\\)<\/p>\n

\\(\\sqrt{8} = \\sqrt{4 \\cdot 2} = 2\\sqrt{2}\\)\uff0c\u56e0\u4e3a \\(2\\sqrt{2} \\approx 2.828 < 3\\)\uff0c\u6240\u4ee5 \\(|\\sqrt{8} – 3| = |2\\sqrt{2} – 3| = 3 – 2\\sqrt{2}\\)\u3002<\/p>\n

\u5c06\u4e0a\u8ff0\u7ed3\u679c\u4ee3\u5165\u539f\u5f0f\uff0c\u5f97\u5230\uff1a<\/p>\n

\\(4 – (\\sqrt{2} + 1) – (3 – 2\\sqrt{2}) = 4 – \\sqrt{2} – 1 – 3 + 2\\sqrt{2} = \\sqrt{2}\\)\u3002<\/p>\n

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

– \u6307\u6570\u8fd0\u7b97\u7684\u6027\u8d28\uff0c\u7279\u522b\u662f\u5206\u6570\u6307\u6570\u7684\u542b\u4e49\u3002
\n– \u6839\u53f7\u7684\u8fd0\u7b97\u53ca\u5176\u4e0e\u6307\u6570\u7684\u5173\u7cfb\u3002
\n– \u7edd\u5bf9\u503c\u7684\u5b9a\u4e49\u548c\u8ba1\u7b97\u65b9\u6cd5\u3002
\n– \u5206\u5f0f\u7684\u5316\u7b80\uff0c\u7279\u522b\u662f\u901a\u8fc7\u5171\u8f6d\u9879\u53bb\u9664\u6839\u53f7\u3002<\/p>\n

\u6613\u9519\u63d0\u793a\u548c\u62d3\u5c55\uff1a<\/p>\n

– \u5728\u5904\u7406\u5206\u6570\u6307\u6570\u65f6\uff0c\u6ce8\u610f\u5e95\u6570\u548c\u6307\u6570\u7684\u5173\u7cfb\uff0c\u786e\u4fdd\u6b63\u786e\u8f6c\u6362\u3002
\n– \u5904\u7406\u7edd\u5bf9\u503c\u65f6\uff0c\u8981\u660e\u786e\u7edd\u5bf9\u503c\u5185\u7684\u6b63\u8d1f\u60c5\u51b5\uff0c\u907f\u514d\u76f4\u63a5\u5ffd\u7565\u7b26\u53f7\u3002
\n– \u5728\u8fdb\u884c\u5206\u5f0f\u8fd0\u7b97\u65f6\uff0c\u5229\u7528\u5171\u8f6d\u9879\u6280\u5de7\u53ef\u4ee5\u7b80\u5316\u8ba1\u7b97\u8fc7\u7a0b\u3002
\n– \u53ef\u4ee5\u8fdb\u4e00\u6b65\u63a2\u8ba8\u4e0d\u540c\u5f62\u5f0f\u7684\u6307\u6570\u548c\u6839\u53f7\u8fd0\u7b97\uff0c\u4ee5\u53ca\u5b83\u4eec\u5728\u5b9e\u9645\u95ee\u9898\u4e2d\u7684\u5e94\u7528\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

\u9898\u76ee\uff1a\\(8^{\\frac{2}{3}} – (\\sqrt{2} – 1)^{-1} […]<\/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-334","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/334","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=334"}],"version-history":[{"count":1,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/334\/revisions"}],"predecessor-version":[{"id":335,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/334\/revisions\/335"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=334"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=334"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=334"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}