{"id":231,"date":"2025-03-21T01:32:16","date_gmt":"2025-03-20T17:32:16","guid":{"rendered":"https:\/\/tilearn.space\/?p=231"},"modified":"2025-03-21T01:32:16","modified_gmt":"2025-03-20T17:32:16","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%ac3%e9%a2%98%ef%bc%89","status":"publish","type":"post","link":"https:\/\/tilearn.space\/?p=231","title":{"rendered":"2024\u5c4a\u5b9d\u5c71\u533a\u521d\u4e09\u4e8c\u6a21\u6570\u5b66\u8bd5\u5377\u7cbe\u8bb2\uff08\u7b2c3\u9898\uff09"},"content":{"rendered":"

\u7b2c3\u9898. \u4e0b\u5217\u51fd\u6570\u4e2d\uff0c\\(\\text{y}\\)<\/span> \u7684\u503c\u968f \\(\\text{x}\\)<\/span> \u503c\u7684\u589e\u5927\u800c\u51cf\u5c0f\u7684\u662f\uff08\\(\\text{\u25b2}\\)<\/span>\uff09\u3002<\/strong><\/p>\n

(A) \\(\\text{y} = 2\\text{x}^2 + 1\\)<\/span>;\u3000\u3000(B) \\(\\text{y} = -2\\text{x}^2 + 1\\)<\/span>;\u3000\u3000(C) \\(\\text{y} = \\text{x} + 1\\)<\/span>;\u3000\u3000(D) \\(\\text{y} = -\\text{x} + 1\\)<\/span>;<\/p>\n

\n

\u89e3\u9898\u8fc7\u7a0b<\/h3>\n

\u9898\u76ee\u8981\u6c42\u627e\u51fa\u4e00\u4e2a\u51fd\u6570\uff0c\u5176\u4e2d \\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u800c\u51cf\u5c0f\u3002\u6211\u4eec\u53ef\u4ee5\u901a\u8fc7\u5206\u6790\u6bcf\u4e2a\u9009\u9879\u6765\u786e\u5b9a\u54ea\u4e2a\u51fd\u6570\u6ee1\u8db3\u8fd9\u4e2a\u6761\u4ef6\u3002<\/p>\n

\u77e5\u8bc6\u70b9\u590d\u4e60<\/h4>\n

1. **\u4e8c\u6b21\u51fd\u6570**\uff1a\u5f62\u5982 \\(\\text{y} = \\text{ax}^2 + \\text{bx} + \\text{c}\\)<\/span> \u7684\u51fd\u6570\u79f0\u4e3a\u4e8c\u6b21\u51fd\u6570\u3002\u4e8c\u6b21\u51fd\u6570\u7684\u56fe\u50cf\u662f\u4e00\u6761\u629b\u7269\u7ebf\u3002<\/p>\n

    \n
  • \u5f53 \\(\\text{a} > 0\\)<\/span> \u65f6\uff0c\u629b\u7269\u7ebf\u5f00\u53e3\u5411\u4e0a\uff0c\\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u5148\u51cf\u5c0f\u540e\u589e\u5927\u3002<\/li>\n
  • \u5f53 \\(\\text{a} < 0\\)<\/span> \u65f6\uff0c\u629b\u7269\u7ebf\u5f00\u53e3\u5411\u4e0b\uff0c\\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u5148\u589e\u5927\u540e\u51cf\u5c0f\u3002<\/li>\n<\/ul>\n

    2. **\u4e00\u6b21\u51fd\u6570**\uff1a\u5f62\u5982 \\(\\text{y} = \\text{mx} + \\text{b}\\)<\/span> \u7684\u51fd\u6570\u79f0\u4e3a\u4e00\u6b21\u51fd\u6570\u3002\u4e00\u6b21\u51fd\u6570\u7684\u56fe\u50cf\u662f\u4e00\u6761\u76f4\u7ebf\u3002<\/p>\n

      \n
    • \u5f53 \\(\\text{m} > 0\\)<\/span> \u65f6\uff0c\u76f4\u7ebf\u659c\u7387\u4e3a\u6b63\uff0c\\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u800c\u589e\u5927\u3002<\/li>\n
    • \u5f53 \\(\\text{m} < 0\\)<\/span> \u65f6\uff0c\u76f4\u7ebf\u659c\u7387\u4e3a\u8d1f\uff0c\\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u800c\u51cf\u5c0f\u3002<\/li>\n<\/ul>\n

      \u6613\u9519\u70b9\u6269\u5c55<\/h4>\n

      \u5728\u9009\u62e9\u9898\u4e2d\uff0c\u5bb9\u6613\u6df7\u6dc6\u7684\u662f\u4e8c\u6b21\u51fd\u6570\u548c\u4e00\u6b21\u51fd\u6570\u7684\u6027\u8d28\u3002\u7279\u522b\u662f\u5bf9\u4e8e\u4e8c\u6b21\u51fd\u6570\uff0c\u9700\u8981\u6ce8\u610f\u5f00\u53e3\u65b9\u5411\u5bf9\u51fd\u6570\u589e\u51cf\u6027\u7684\u5f71\u54cd\u3002<\/p>\n

      \u89e3\u7b54<\/h4>\n
        \n
      • (A) \\(\\text{y} = 2\\text{x}^2 + 1\\)<\/span><\/strong>\uff1a\u8fd9\u662f\u4e00\u4e2a\u5f00\u53e3\u5411\u4e0a\u7684\u4e8c\u6b21\u51fd\u6570\uff0c\u56e0\u6b64 \\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u5148\u51cf\u5c0f\u540e\u589e\u5927\u3002<\/li>\n
      • (B) \\(\\text{y} = -2\\text{x}^2 + 1\\)<\/span><\/strong>\uff1a\u8fd9\u662f\u4e00\u4e2a\u5f00\u53e3\u5411\u4e0b\u7684\u4e8c\u6b21\u51fd\u6570\uff0c\u56e0\u6b64 \\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u5148\u589e\u5927\u540e\u51cf\u5c0f\u3002<\/li>\n
      • (C) \\(\\text{y} = \\text{x} + 1\\)<\/span><\/strong>\uff1a\u8fd9\u662f\u4e00\u4e2a\u659c\u7387\u4e3a\u6b63\u7684\u4e00\u6b21\u51fd\u6570\uff0c\u56e0\u6b64 \\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u800c\u589e\u5927\u3002<\/li>\n
      • (D) \\(\\text{y} = -\\text{x} + 1\\)<\/span><\/strong>\uff1a\u8fd9\u662f\u4e00\u4e2a\u659c\u7387\u4e3a\u8d1f\u7684\u4e00\u6b21\u51fd\u6570\uff0c\u56e0\u6b64 \\(\\text{y}\\)<\/span> \u7684\u503c\u968f\u7740 \\(\\text{x}\\)<\/span> \u7684\u589e\u5927\u800c\u51cf\u5c0f\u3002<\/li>\n<\/ul>\n

        \u7efc\u4e0a\u6240\u8ff0\uff0c\u6b63\u786e\u7b54\u6848\u662f (D) \\(\\text{y} = -\\text{x} + 1\\)<\/span><\/strong>\u3002<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

        \u7b2c3\u9898. \u4e0b\u5217\u51fd\u6570\u4e2d\uff0c\\(\\text{y}\\) \u7684\u503c\u968f \\(\\text{x}\\) \u503c\u7684\u589e\u5927\u800c\u51cf\u5c0f\u7684\u662f\uff08\\(\\t […]<\/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-231","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/231","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=231"}],"version-history":[{"count":1,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/231\/revisions"}],"predecessor-version":[{"id":232,"href":"https:\/\/tilearn.space\/index.php?rest_route=\/wp\/v2\/posts\/231\/revisions\/232"}],"wp:attachment":[{"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/tilearn.space\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}