{"id":266,"date":"2025-03-24T19:24:03","date_gmt":"2025-03-24T11:24:03","guid":{"rendered":"https:\/\/tilearn.space\/?p=266"},"modified":"2025-03-24T19:36:45","modified_gmt":"2025-03-24T11:36:45","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%ac10%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=266","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c10\u9898\uff09"},"content":{"rendered":"

\u9898\u76ee\uff1a\u65b9\u7a0b \\(\\sqrt{2-x} = -x\\)<\/span> \u7684\u89e3\u3002<\/p>\n

\u8be6\u7ec6\u8bb2\u89e3<\/h3>\n

\u8fd9\u662f\u4e00\u4e2a\u5305\u542b\u6839\u53f7\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u65b9\u7a0b\u8fdb\u884c\u53d8\u5f62\u5e76\u6c42\u89e3\u3002\u4ee5\u4e0b\u662f\u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u89e3\u9898\u7684\u6b65\u9aa4\uff1a<\/p>\n

    \n
  1. \u79fb\u9879\u5e76\u5e73\u65b9\u4e24\u8fb9<\/strong>\uff1a
    \n\u539f\u65b9\u7a0b\u4e3a\uff1a
    \n\\(\\sqrt{2-x} = -x\\)<\/span>
    \n\u4e3a\u4e86\u53bb\u6389\u6839\u53f7\uff0c\u6211\u4eec\u5bf9\u7b49\u5f0f\u4e24\u8fb9\u5e73\u65b9\uff1a
    \n\\(\\left(\\sqrt{2-x}\\right)^2 = (-x)^2\\)<\/span>
    \n\u5316\u7b80\u540e\u5f97\u5230\uff1a
    \n\\(2-x = x^2\\)<\/span><\/li>\n
  2. \u6574\u7406\u65b9\u7a0b<\/strong>\uff1a
    \n\u5c06\u6240\u6709\u9879\u79fb\u5230\u4e00\u8fb9\uff0c\u6574\u7406\u4e3a\u6807\u51c6\u5f62\u5f0f\uff1a
    \n\\(x^2 + x – 2 = 0\\)<\/span><\/li>\n
  3. \u7528\u5341\u5b57\u76f8\u4e58\u6cd5\u6c42\u89e3<\/strong>\uff1a
    \n\u5bf9\u4e8e\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \\(x^2 + x – 2 = 0\\)<\/span>\uff0c\u6211\u4eec\u53ef\u4ee5\u7528\u56e0\u5f0f\u5206\u89e3\u6cd5\uff08\u5341\u5b57\u76f8\u4e58\u6cd5\uff09\u6765\u89e3\u3002
    \n\u6211\u4eec\u9700\u8981\u627e\u5230\u4e24\u4e2a\u6570\uff0c\u5b83\u4eec\u7684\u4e58\u79ef\u7b49\u4e8e \\(a \\cdot c = 1 \\cdot (-2) = -2\\)<\/span>\uff0c\u548c\u7b49\u4e8e \\(b = 1\\)<\/span>\u3002
    \n\u8bd5\u60f3\uff1a\\(2 \\times (-1) = -2\\)\uff0c\u4e14 \\(2 + (-1) = 1\\)\uff0c\u6ee1\u8db3\u6761\u4ef6\u3002
    \n\u4e8e\u662f\uff0c\u65b9\u7a0b\u53ef\u4ee5\u5206\u89e3\u4e3a\uff1a
    \n\\((x + 2)(x – 1) = 0\\)<\/span>
    \n\u6839\u636e\u96f6\u4e58\u79ef\u539f\u7406\uff0c\u89e3\u5f97\uff1a
    \n\\(x + 2 = 0\\) \u6216 \\(x – 1 = 0\\)<\/span>
    \n\u5373\uff1a
    \n\\(x_1 = -2\\)<\/span>\uff0c\\(x_2 = 1\\)<\/span><\/li>\n
  4. \u9a8c\u8bc1\u89e3\u7684\u5408\u7406\u6027<\/strong>\uff1a
    \n\u7531\u4e8e\u539f\u65b9\u7a0b\u4e2d\u6709\u6839\u53f7\uff0c\u5e73\u65b9\u64cd\u4f5c\u53ef\u80fd\u5f15\u5165\u589e\u6839\uff0c\u6211\u4eec\u9700\u8981\u5c06\u4e24\u4e2a\u89e3\u4ee3\u5165\u539f\u65b9\u7a0b\u9a8c\u8bc1\u3002
    \n(1) \u5c06 \\(x = 1\\)<\/span> \u4ee3\u5165\uff1a
    \n\\(\\sqrt{2-1} = -1\\)<\/span>
    \n\u5373\uff1a
    \n\\(1 = -1\\)<\/span>
    \n\u663e\u7136\u4e0d\u6210\u7acb\uff0c\u56e0\u6b64 \\(x = 1\\)<\/span> \u4e0d\u662f\u89e3\u3002
    \n(2) \u5c06 \\(x = -2\\)<\/span> \u4ee3\u5165\uff1a
    \n\\(\\sqrt{2-(-2)} = -(-2)\\)<\/span>
    \n\u5373\uff1a
    \n\\(\\sqrt{4} = 2\\)<\/span>
    \n\u6210\u7acb\uff0c\u56e0\u6b64 \\(x = -2\\)<\/span> \u662f\u89e3\u3002<\/li>\n<\/ol>\n

    \u6700\u7ec8\u7b54\u6848<\/strong>\uff1a
    \n\u65b9\u7a0b \\(\\sqrt{2-x} = -x\\)<\/span> \u7684\u89e3\u4e3a \\(x = -2\\)<\/span>\u3002<\/p>\n

    \u77e5\u8bc6\u70b9\u590d\u4e60\u4e0e\u6613\u9519\u70b9\u6269\u5c55<\/h3>\n
      \n
    1. \u5341\u5b57\u76f8\u4e58\u6cd5<\/strong>\uff1a
      \n\u5bf9\u4e8e\u4e00\u5143\u4e8c\u6b21\u65b9\u7a0b \\(ax^2 + bx + c = 0\\)<\/span>\uff0c\u5982\u679c\u80fd\u627e\u5230\u4e24\u4e2a\u6570\u6ee1\u8db3\u4e58\u79ef\u4e3a \\(a \\cdot c\\)<\/span>\uff0c\u548c\u4e3a \\(b\\)<\/span>\uff0c\u5373\u53ef\u901a\u8fc7\u56e0\u5f0f\u5206\u89e3\u5feb\u901f\u6c42\u89e3\u3002<\/li>\n
    2. \u6839\u53f7\u65b9\u7a0b\u7684\u6ce8\u610f\u4e8b\u9879<\/strong>\uff1a
      \n\u5e73\u65b9\u4e24\u8fb9\u53ef\u80fd\u5f15\u5165\u589e\u6839\uff0c\u5fc5\u987b\u4ee3\u5165\u539f\u65b9\u7a0b\u9a8c\u8bc1\uff0c\u786e\u4fdd\u89e3\u6ee1\u8db3\u6240\u6709\u6761\u4ef6\u3002<\/li>\n
    3. \u5b9a\u4e49\u57df\u68c0\u67e5<\/strong>\uff1a
      \n\u6839\u53f7\u5185\u7684\u8868\u8fbe\u5f0f \\(2-x \\geq 0\\)<\/span>\uff0c\u5373 \\(x \\leq 2\\)<\/span>\uff0c\u4e14\u53f3\u8fb9 \\(-x \\geq 0\\)<\/span>\uff0c\u5373 \\(x \\leq 0\\)<\/span>\u3002\u89e3 \\(x = -2\\)<\/span> \u7b26\u5408\u8981\u6c42\u3002<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"

      \u9898\u76ee\uff1a\u65b9\u7a0b \\(\\sqrt{2-x} = -x\\) \u7684\u89e3\u3002 \u8be6\u7ec6\u8bb2\u89e3 \u8fd9\u662f\u4e00\u4e2a\u5305\u542b\u6839\u53f7\u7684\u65b9\u7a0b\uff0c\u6211\u4eec\u9700\u8981\u5bf9\u65b9\u7a0b\u8fdb […]<\/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-266","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/266","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=266"}],"version-history":[{"count":6,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/266\/revisions"}],"predecessor-version":[{"id":272,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/266\/revisions\/272"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=266"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=266"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=266"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}