\u5b66\u4e60\u65b9\u6cd5\uff1a\u5b66\u4e60\u65b0\u6982\u5ff5\u7684\u65f6\u5019\u5148\u641e\u61c2\uff08\u901a\u8fc7\u628a\u65b0\u7684\u6982\u5ff5\u8054\u7cfb\u5230\u5df2\u7ecf\u5b66\u4f1a\u7684\u6982\u5ff5\u6765\u641e\u61c2\uff09\uff0c\u7136\u540e\u628a\u641e\u61c2\u7684\u6982\u5ff5\u68b3\u7406\u5230\u8fd9\u91cc\uff0c\u9009\u62e9\u4e00\u4e24\u4e2a\u4f8b\u9898\u6765\u8fdb\u4e00\u6b65\u52a0\u6df1\u5bf9\u8fd9\u4e2a\u6982\u5ff5\u7684\u7406\u89e3\uff0c\u628a\u6574\u7406\u597d\u7684\u6838\u5fc3\u77e5\u8bc6\u70b9\u4ee5\u53ca\u5b83\u4eec\u4e4b\u95f4\u7684\u5173\u7cfb\u590d\u4e60\u51e0\u6b21\uff0c\u95f4\u9694\u4e00\u6bb5\u65f6\u95f4\u518d\u6765\u505a\u51e0\u9053\u9898\u5de9\u56fa\u4e00\u4e0b\u3002\u8fd9\u6837\u7684\u6982\u5ff5\u68b3\u7406\u5b8c\u6210\u4e4b\u540e\uff0c\u8981\u8d8a\u5c11\u8d8a\u597d\u3002<\/p>\n
\u9519\u9898\u672c\uff1a\u505a\u9519\u7684\u9898\uff0c\u8981\u641e\u6e05\u695a\u9519\u5728\u54ea\u91cc\uff0c\u5e2e\u52a9\u66f4\u597d\u5730\u7406\u89e3\u76f8\u5173\u7684\u6982\u5ff5\u3002\u6982\u5ff5\u6027\u7406\u89e3\u6027\u7684\u9519\u9898\u6700\u597d\u80fd\u591f\u6574\u7406\u51fa\u6765\uff0c\u4f9b\u4e0b\u6b21\u5de9\u56fa\u590d\u4e60\u7528\u3002\u505a\u9519\u662f\u597d\u4e8b\uff0c\u627e\u5230\u4e86\u4e0d\u4f1a\u7684\u5730\u65b9\u3002<\/p>\n
\u53ea\u8981\u7528\u597d\u4e86\u4e0a\u9762\u7684\u5b66\u4e60\u65b9\u6cd5\uff0c\u5728\u4efb\u4f55\u7684\u65f6\u95f4\uff0c\u4efb\u4f55\u7684\u57fa\u7840\u4e0a\uff0c\u90fd\u53ef\u4ee5\u5b66\u5f97\u5f88\u597d\u3002<\/p>\n
\u6570\uff1a\u6570\u5b57\uff080,1,2,3,4,5,67,8,9\uff09\u3001\u81ea\u7136\u6570\u3001\u6574\u6570\u3001\u5206\u6570\uff08\u5206\u6570\u503c\u7684\u8ba1\u7b97\u5c31\u662f\u5206\u5b50\u9664\u4ee5\u5206\u6bcd\uff0c\u9664\u6cd5\u8ba1\u7b97\u4f1a\u51fa\u73b0\u5206\u6570\uff0c\u8868\u793a\u6574\u4f53\u91cc\u9762\u7684\u4e00\u90e8\u5206\uff0c\u6709\u4e86\u5206\u6570\u9664\u6cd5\u5c31\u53ef\u4ee5\u53d8\u6210\u4e58\u6cd5 \\(a\\div b=a\\times \\frac{1}{b}=\\frac{a}{b}\\)\uff09\u3001\u5c0f\u6570\uff08\u5206\u6570\u90fd\u53ef\u4ee5\u53d8\u6210\u5c0f\u6570\uff0c\u800c\u4e14\u80af\u5b9a\u4f1a\u5faa\u73af\u8d77\u6765\uff09\u3002<\/p>\n
\u56db\u5219\u8fd0\u7b97\uff1a\u52a0\u51cf\u4e58\u9664\uff0c\u5206\u522b\u8868\u793a\u5408\u8d77\u6765\u6570\u4e00\u6570\u7684\u5173\u7cfb\u3001\u53d6\u51fa\u6765\u4e00\u90e8\u5206\uff08\u4e0e\u5408\u8d77\u6765\u6570\u4e00\u6570\u76f8\u53cd\uff09\u3001\u540c\u4e00\u4e2a\u6570\u591a\u6b21\u91cd\u590d\u5408\u8d77\u6765\u6570\u4e00\u6570\u3001\u6574\u4f53\u91cc\u9762\u591a\u6b21\u91cd\u590d\u53bb\u6389\u4e00\u90e8\u5206\u7684\u542b\u4e49\u3002<\/p>\n
\u8fd0\u7b97\u987a\u5e8f\uff1a\u5148\u4e58\u9664\u540e\u52a0\u51cf\uff0c\u53f3\u62ec\u53f7\u5148\u7b97\u62ec\u53f7\u3002<\/p>\n
\u8fd0\u7b97\u5f8b\uff1a\u52a0\u6cd5\u4ea4\u6362\u5f8b\uff08\u6ce8\u610f\u52a0\u6cd5\u548c\u51cf\u6cd5\u901a\u8fc7\u8d1f\u6570\u5df2\u7ecf\u7edf\u4e00\u8d77\u6765\uff09\uff0c\u52a0\u6cd5\u7ed3\u5408\u5f8b\uff0c\u4e58\u6cd5\u4ea4\u6362\u5f8b\uff0c\u4e58\u6cd5\u7ed3\u5408\u5f8b\uff08\u6ce8\u610f\u4e58\u6cd5\u548c\u9664\u6cd5\u5df2\u7ecf\u901a\u8fc7\u5012\u6570\u5206\u6570\u7edf\u4e00\u8d77\u6765\uff09\uff0c\u4e58\u6cd5\u5bf9\u52a0\u6cd5\u7684\u5206\u914d\u5f8b\u3002\u5728\u5b9e\u9645\u628a\u8fd0\u7b97\u5f8b\u7528\u4e8e\u8ba1\u7b97\u7684\u8fc7\u7a0b\u4e2d\u5f88\u591a\u65f6\u5019\u90fd\u4f1a\u9047\u5230\u62ec\u53f7\uff0c\u8fd9\u65f6\u5019\u9700\u8981\u8003\u8651\u7528\u7684\u662f\u54ea\u4e00\u4e2a\u8fd0\u7b97\u5f8b\u3002\u4f8b\u5982\\(a-(b+c)=a-b-c\\)\u5b9e\u9645\u4e0a\u7528\u5230\u7684\u662f\u4e58\u6cd5\u5bf9\u52a0\u6cd5\u7684\u5206\u914d\u5f8b
\n\\[a-(b+c)=a+(-1)\\times(b+c) \\\\
\n= a + (-1)\\times b + (-1)\\times c \\\\
\n=a+(-b)+(-c)\\\\
\n=a-b-c.\\]<\/p>\n
\u5206\u5b50\u5206\u6bcd\u540c\u65f6\u4e58\u4ee5\u4e00\u4e2a\u6570\uff08\u6ce8\u610f\u4e58\u9664\u6cd5\u5df2\u7ecf\u7edf\u4e00\uff0c\u4e5f\u5c31\u662f\u8bf4\u4e5f\u53ef\u4ee5\u540c\u65f6\u9664\u4ee5\u4e00\u4e2a\u4e0d\u7b49\u4e8e\u96f6\u7684\u6570\uff0c\u601d\u8003\u4e3a\u4ec0\u4e48\u7b49\u4e8e\u96f6\u7684\u4e0d\u884c\u2014\u2014\u9664\u4ee5\u4e00\u4e2a\u6570\u7b49\u4ef7\u4e8e\u4e58\u4ee5\u8fd9\u4e2a\u6570\u7684\u5012\u6570\u800c\u96f6\u6ca1\u6709\u5012\u6570\uff09\u5206\u6570\u503c\u4e0d\u53d8\u3002\u8fd9\u4e2a\u662f\u4ece\u4e58\u9664\u6cd5\u4ea4\u6362\u5f8b\u7ed3\u5408\u5f8b\u63a8\u51fa\u6765\u7684\uff1a\\(\\frac{a}{b}=\\frac{a\\times c}{b\\times c}\\)\u53d8\u6210\u4e58\u9664\u6cd5\u5c31\u662f
\n\\[
\n\\frac{a}{b}=a\\div b = a\\times \\frac{1}{b}\\\\
\n\\frac{a\\times c}{b\\times c} = (a\\times c)\\div (b \\times c) = a \\times c \\times \\frac{1}{b\\times c} = a \\times c \\times (\\frac{1}{b}\\times \\frac{1}{c}) \\\\
\n= a \\times c \\times \\frac{1}{b} \\times \\frac{1}{c} = a \\times \\left(c\\times \\frac{1}{c}\\right) \\times \\frac{1}{b} = a \\times \\frac{1}{b}
\n\\]<\/p>\n
\u7b49\u5f0f\u7684\u6027\u8d28\uff1a\u7b49\u662f\u4e24\u8fb9\u540c\u65f6\u52a0\u4e0a\uff08\u6ce8\u610f\u51cf\u6cd5\u5df2\u7ecf\u548c\u52a0\u6cd5\u7edf\u4e00\uff09\u6216\u8005\u4e58\u4ee5\uff08\u6ce8\u610f\u9664\u6cd5\u5df2\u7ecf\u548c\u4e58\u6cd5\u7edf\u4e00\uff09\u4e00\u4e2a\u6570\uff0c\u7b49\u53f7\u8fd8\u6210\u7acb\uff08\u4e3a\u4ec0\u4e48\uff1f\u7b49\u5f0f\u7684\u542b\u4e49\u5c31\u662f\u5de6\u53f3\u4e24\u8fb9\u4e24\u4e2a\u6570\u7684\u503c\u5b8c\u5168\u76f8\u540c\u3002\u65e2\u7136\u53ef\u4ee5\u770b\u505a\u5b8c\u5168\u76f8\u540c\u7684\u6570\uff0c\u5219\u505a\u8fd9\u4e2a\u76f8\u540c\u7684\u6570\u7684\u76f8\u540c\u7684\u8fd0\u7b97\u81ea\u7136\u5f97\u5230\u7684\u7ed3\u679c\u8fd8\u76f8\u540c<\/small>\uff09\u3002\u9664\u4ee5\u4e00\u4e2a\u6570\u7684\u65f6\u5019\u9700\u8981\u9664\u4ee5\u4e00\u4e2a\u4e0d\u7b49\u4e8e\u96f6\u7684\u6570\u3002<\/p>\n
\u5e94\u7528\u9898\uff1a\u6240\u6709\u7684\u5e94\u7528\u9898\u90fd\u662f\u628a\u8bed\u8a00\u8f6c\u5316\u6210\u5173\u7cfb\uff08\u4e0a\u9762\u7684\u56db\u79cd\u5173\u7cfb\u4e4b\u4e00\uff0c\u4ee5\u53ca\u7ec4\u5408\u8d77\u6765\uff09\uff0c\u5173\u7cfb\u8f6c\u5316\u6210\u6570\u5b66\u8868\u8fbe\u5f0f\uff08\u52a0\u51cf\u4e58\u9664\u4e4b\u4e00\uff0c\u4ee5\u53ca\u7ec4\u5408\u8d77\u6765\uff09\u3002<\/p>\n
\u7528\u6570\u5b66\u89e3\u51b3\u95ee\u9898\u7684\u5173\u952e\uff0c\u540c\u6837\u4e5f\u662f\u628a\u610f\u601d\u8f6c\u5316\u6210\u4e8b\u7269\u7684\u5173\u7cfb\uff0c\u628a\u5173\u7cfb\u8f6c\u5316\u6210\u6570\u5b66\u8868\u8fbe\u5f0f\uff0c\u4ee5\u53ca\u53cd\u8fc7\u6765\uff0c\u628a\u6570\u5b66\u8868\u8fbe\u5f0f\u8f6c\u6362\u6210\u610f\u601d\u548c\u8bed\u8a00\u3002\u6570\u5b66\u5c31\u662f\u8bed\u8a00\u3002\u6709\u9700\u8981\u7684\u65f6\u5019\uff0c\u753b\u56fe\u6765\u8868\u793a\u5173\u7cfb\u53ef\u4ee5\u5e2e\u52a9\u5728\u6570\u5b66\u548c\u610f\u601d\u4e4b\u95f4\u8f6c\u6362\u3002 \u6b63\u6570\u548c\u8d1f\u6570\u3001\u76f8\u53cd\u6570\u3001\u7edd\u5bf9\u503c\uff1a\u6b63\u6570\u662f\u6570\u8f74\u53f3\u8fb9\u7684\u5927\u4e8e\u96f6\u7684\u6570\uff0c\u8d1f\u6570\u662f\u6570\u8f74\u5de6\u8fb9\u7684\u5c0f\u4e8e\u96f6\u7684\u6570\uff1b\u4e00\u4e2a\u6b63\u6570\u4e58\u4ee5-1\uff08\u5728\u6570\u8f74\u4e0a\u4ece\u4e00\u8fb9\u8f6c\u5230\u53e6\u4e00\u8fb9\uff09\u5f97\u5230\u5b83\u7684\u76f8\u53cd\u6570\u2014\u2014\u6210\u4e3a\u8d1f\u6570\uff0c\u540c\u6837\u5730\u4e00\u4e2a\u8d1f\u6570\u4e58\u4ee5-1\uff08\u5728\u6570\u8f74\u4e0a\u4ece\u4e00\u8fb9\u8f6c\u5230\u53e6\u4e00\u8fb9\uff09\u5f97\u5230\u5b83\u7684\u76f8\u53cd\u6570\u2014\u2014\u6210\u4e3a\u6b63\u6570\uff1b\u76f8\u53cd\u6570\u7684\u8ba1\u7b97\u8bb0\u505a\\( (-1)\\times a =-a\\)\uff1b\\( (-1)\\times (-1) =1\\)\uff08\u56e0\u4e3a\u8f6c\u4e24\u6b21\u56de\u5230\u81ea\u8eab\uff0c\u76f8\u53cd\u6570\u7684\u76f8\u53cd\u6570\u662f\u81ea\u8eab\uff09\uff1b\u4e00\u4e2a\u6570\u79bb\u6570\u8f74\u4e0a\u539f\u70b9\u7684\u8ddd\u79bb\u79f0\u4f5c\u7edd\u5bf9\u503c\uff0c\u7edd\u5bf9\u503c\uff08\u8ddd\u79bb\uff09\u6c38\u8fdc\u662f\u6b63\u7684\uff0c\u53ef\u4ee5\u9a8c\u8bc1\u5bf9\u4e8e\u6b63\u6570\\(|a|=a\\)\uff0c\u5bf9\u4e8e\u8d1f\u6570\\(|a|=-a\\)\u3002<\/p>\n \u8d1f\u6570\u53c2\u4e0e\u52a0\u51cf\u4e58\u9664\u8ba1\u7b97\uff1a\u52a0\u51cf\u6cd5\u53ef\u4ee5\u7edf\u4e00\u770b\u505a\u52a0\u6cd5\uff08\u4e00\u4e2a\u6570\u51cf\u53bb\u53e6\u4e00\u4e2a\u6570\uff0c\u770b\u505a\u4e00\u4e2a\u6570\u52a0\u4e0a\u53e6\u4e00\u4e2a\u6570\u7684\u76f8\u53cd\u6570\uff0c\u4e5f\u5c31\u662f\\(a-b=a+(-b)\\)\uff09\uff0c\u7136\u540e\u52a0\u4e0a\u4e00\u4e2a\u6b63\u6570\u5c31\u662f\u6cbf\u7740\u6570\u8f74\u5f80\u6b63\u65b9\u5411\uff08\u53f3\u8fb9\uff09\u63a5\u4e0a\u8fd9\u4e2a\u6b63\u6570\u5bf9\u5e94\u7684\u8ddd\u79bb\uff0c\u52a0\u4e0a\u4e00\u4e2a\u8d1f\u6570\u5c31\u662f\u6cbf\u7740\u6570\u8f74\u7f51\u8d1f\u65b9\u5411\uff08\u5de6\u8fb9\uff09\u63a5\u4e0a\u8fd9\u4e2a\u8d1f\u6570\u5bf9\u5e94\u7684\u8ddd\u79bb\uff1b\u4e58\u9664\u6cd5\u628a\u6240\u6709\u7684\u8d1f\u53f7\u63d0\u53d6\u51fa\u6765\uff0c\u5f97\u5230\u6700\u540e\u5f97\u6570\u7684\u6b63\u8d1f\u53f7\u2014\u2014\u5076\u6570\u4e2a\u4e3a\u6b63\u597d\u5947\u6570\u4e2a\u4e3a\u8d1f\u53f7\uff08\u524d\u9762\u5b66\u8fc7\\( (-1)\\times (-1) =1\\)\uff09\uff0c\u7136\u540e\uff0c\u5269\u4e0b\u7684\u6570\u6309\u7167\u6b63\u6570\u8ba1\u7b97\u3002<\/p>\n \u5c0f\u6570\u53ef\u4ee5\u6709\u5faa\u73af\u5c0f\u6570\uff08\u6709\u9650\u5c0f\u6570\u5f53\u505a\u5faa\u73af\u5c0f\u6570\uff0c\u5faa\u73af\u7684\u662f\u6700\u540e\u76840\uff09\u548c\u4e0d\u5faa\u73af\u5c0f\u6570\u3002\u4e0d\u5faa\u73af\u5c0f\u6570\u4e0d\u80fd\u6210\u4e3a\u5206\u6570\uff0c\u56e0\u4e3a\u6240\u6709\u7684\u5206\u6570\u53ea\u8981\u7528\u9664\u6cd5\u4e0d\u65ad\u9664\u4e0b\u53bb\u603b\u4f1a\u9047\u5230\u8ddf\u4e4b\u524d\u4e00\u6837\u7684\u4f59\u6570\uff0c\u4e5f\u5c31\u662f\u53d8\u6210\u5faa\u73af\u5c0f\u6570\u3002<\/p>\n \u53d8\u91cf\u548c\u672a\u77e5\u6570\uff1a\u5f53\u6211\u4eec\u8981\u8868\u793a\u4e00\u4e2a\u4e00\u822c\u7684\u5173\u7cfb\u7684\u65f6\u5019\uff0c\u6bd4\u5982\u8bf4\u4f60\u662f\u90a3\u4e2a\u5356\u82f9\u679c\u7684\u4eba\u82f9\u679c\u6bcf\u65a4\\(10\\)\u5143\u8981\u7b97\u51fa\u6765\u522b\u4eba\u4e70\u4efb\u4f55\u6570\u91cf\u8981\u7ed9\u7684\u94b1\uff0c\u5c31\u662f\\(10\\times x = 10x\\)\uff0c\u5176\u4e2d\u7684\\(x\\)\u5c31\u4ee3\u8868\u90a3\u4e2a\u4e00\u822c\u7684\u4efb\u4f55\u65a4\u90fd\u53ef\u4ee5\u7684\u6570\u91cf\u3002\u8fd9\u6837\u7684\u7528\u5305\u542b\u672a\u77e5\u6570\uff08\u5c06\u6765\u53ef\u4ee5\u662f\u4efb\u610f\u6570\u4e2d\u7684\u4e00\u4e2a\uff09\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\u6765\u8868\u8fbe\u4e00\u822c\u7684\u5173\u7cfb\uff0c\u5c31\u662f\u5305\u542b\u672a\u77e5\u6570\u7684\u8868\u8fbe\u5f0f\u3002\u5bf9\u4e8e\u672a\u77e5\u6570\uff0c\u6211\u4eec\u603b\u662f\u7528\u4e00\u4e2a\u7b26\u53f7\uff08\u4f8b\u5982\\(x,y,z\\)\uff09\u6765\u4ee3\u8868\u5b83\uff0c\u7136\u540e\u628a\u5b83\u201c\u5047\u88c5\u201d\u5f53\u505a\u5df2\u7ecf\u77e5\u9053\u7684\u6570\u503c\uff0c\u7ee7\u7eed\u7b97\u4e0b\u53bb\u3002<\/p>\n \u6574\u5f0f\uff1a\u542b\u6709\u4e00\u4e2a\u6216\u8005\u591a\u4e2a\uff08\u8fd9\u4e2a\u65f6\u5019\u7531\u201c\u52a0\u53f7\u201d\uff08\\(+\\)\uff09\u5206\u9694\uff09\u672a\u77e5\u6570\uff08\u901a\u5e38\u5199\u4f5c\\(x,y,z\\)\uff09\u7684\u6574\u6570\u6b21\u65b9\u7684\u9879\u7684\u8868\u8fbe\u5f0f\u3002\u6ce8\u610f\uff0c\u7528\u52a0\u53f7\u5206\u9694\uff0c\u56e0\u6b64\u5982\u679c\u51fa\u73b0\u7528\u51cf\u53f7\u5206\u9694\u8981\u770b\u505a\u52a0\u4e0a\u4e00\u4e2a\u7cfb\u6570\u91cc\u9762\u5305\u542b\u8d1f\u53f7\u7684\u9879\uff08\u6bcf\u4e00\u9879\u7684\u7cfb\u6570\u53ea\u770b\u8fd9\u4e00\u9879\u524d\u9762\u7684\u90e8\u5206\uff0c\u800c\u4e0d\u662f\u8fd9\u4e00\u9879\u540e\u9762\u7684\u90e8\u5206\uff0c\u4f8b\u5982\\(4x-1\\)\u7684\u4e00\u6b21\u9879\u7cfb\u6570\u662f\\(4\\)\uff0c\\(-4x+1\\)\u7684\u4e00\u6b21\u9879\u7cfb\u6570\u662f\\(-4\\)<\/strong>\uff09\u3002\u5176\u4e2d\uff0c\u6bcf\u4e00\u9879\u7684\u6b21\u6570\u662f\u6240\u6709\u7684\u672a\u77e5\u6570\u7684\u5e42\u6b21\u52a0\u8d77\u6765\u3002\u6bcf\u4e00\u9879\u7684\u7cfb\u6570\u5c31\u662f\u8fd9\u4e00\u9879\u524d\u9762\u7684\u975e\u672a\u77e5\u6570\u90e8\u5206\uff08\u6ce8\u610f\u5982\u679c\u51fa\u73b0\u8d1f\u53f7\u8981\u5305\u542b\u90a3\u4e2a\u8d1f\u53f7\uff09\u3002\u540c\u7c7b\u9879\uff1a\u6bcf\u4e00\u4e2a\u672a\u77e5\u6570\u4e0a\u9762\u7684\u5e42\u6b21\u90fd\u76f8\u540c\u7684\u9879\u3002\u5408\u5e76\u540c\u7c7b\u9879\uff1a\u540c\u7c7b\u9879\u524d\u9762\u7684\u7cfb\u6570\u53ef\u4ee5\u52a0\u8d77\u6765\u3002\u51e0\u9879\uff1a\\(n\\)\u4e2a\u52a0\u53f7\u5206\u9694\u7684\u591a\u9879\u5f0f\u5177\u6709\\((n+1)\\)\u9879\u3002<\/p>\n \u65b9\u7a0b\uff1a\u4e00\u4e2a\u5305\u542b\u672a\u77e5\u6570\u7684\u7b49\u5f0f\uff0c\u4e5f\u5c31\u662f\u76f8\u5f53\u4e8e\u5728\u628a\u4e24\u4e2a\u5305\u542b\u672a\u77e5\u6570\u7684\u6574\u5f0f\u7528\u7b49\u53f7\u8fde\u8d77\u6765\uff0c\u5176\u4e2d\u7684\u53f3\u8fb9\u5f80\u5f80\u662f\u96f6\u3002\u4f8b\u5982\\(2x+1=0,x^2+2x+1=0\\)\u3002\u5176\u4e2d\u6709\u51e0\u4e2a\u672a\u77e5\u6570\u6211\u4eec\u5c31\u79f0\u4e4b\u4e3a\u51e0\u5143\uff08\u5c31\u662f\u672a\u77e5\u6570\u7684\u610f\u601d\uff09\u65b9\u7a0b\uff0c\u6700\u9ad8\u9879\u7684\u6b21\u6570\u5c31\u79f0\u4e3a\u51e0\u6b21\u65b9\u7a0b\uff0c\u5408\u8d77\u6765\u5c31\u662f\u51e0\u5143\u51e0\u6b21\u65b9\u7a0b\u3002\u6c42\u89e3\u65b9\u7a0b\u4e00\u822c\u901a\u8fc7\u8fd0\u52a8\u7b49\u5f0f\u7684\u6027\u8d28\uff0c\u4e5f\u5c31\u662f\u7b49\u5f0f\u7684\u4e24\u8fb9\u540c\u65f6\u505a\u52a0\u51cf\u4e58\u9664\u7b49\u5f0f\u4ecd\u7136\u6210\u7acb\uff08\u5e38\u7528\u7684\u201c\u79fb\u9879\u6362\u53f7\u201d\u5b9e\u9645\u4e0a\u662f\u65b9\u7a0b\u4e24\u8fb9\u540c\u65f6\u505a\u52a0\u51cf\u6cd5\u7684\u7ed3\u679c<\/strong>\uff09\u3002<\/p>\n \u79d1\u5b66\u8ba1\u6570\u6cd5\uff1a\u628a\u4e00\u4e2a\u6570\u8868\u793a\u6210\u4e00\u4e2a\u4e00\u4e2a\u6574\u6570\u4f4d\u52a0\u4e0a\u5176\u4ed6\u5c0f\u6570\u4f4d\u7136\u540e\u4e58\u4ee5\\(10\\)\u7684\\(n\\)\u6b21\u65b9\u7684\u5f62\u5f0f\uff0c\u4e5f\u5c31\u662f\\(a.bcde…\\times 10^{n}\\)\uff0c\u5c31\u53eb\u505a\u8fd9\u4e2a\u6570\u7684\u79d1\u5b66\u8ba1\u6570\u6cd5\u3002\u5176\u4e2d\u4ece\u7b2c\u4e00\u4e2a\u4e0d\u4e3a\u96f6\u7684\u6570\u5f00\u59cb\u5230\u6700\u540e\u4e00\u4e2a\u6570\u5b57\u7684\u6570\u5b57\u7684\u4e2a\u6570\uff0c\u5c31\u79f0\u4e3a\u6709\u6548\u6570\u5b57\u7684\u4e2a\u6570\uff1b\u6700\u540e\u4e00\u4f4d\u7684\u6570\u5b57\u6240\u5728\u7684\u6570\u4f4d\u88ab\u79f0\u4e3a\u8fd9\u4e2a\u79d1\u5b66\u8ba1\u6570\u6cd5\u7cbe\u786e\u5230\u7684\u4f4d\u6570\u3002\u4f8b\u5982\\(12345\\)\u7684\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a\u5c31\u662f\\(1.2345\\times 10^{5}\\)\uff0c\u5176\u4e2d\u6709\u6548\u6570\u5b57\u6709\\(5\\)\u4f4d\uff0c\u8fd9\u4e2a\u6570\u5b57\u7cbe\u786e\u5230\u201c\u4e2a\u4f4d\u201d\u3002\u4f8b\u5982\\(1234500\\)\u7684\u79d1\u5b66\u8ba1\u6570\u6cd5\u8868\u793a\u5c31\u662f\\(1.234500\\times 10^{5}\\)\uff0e\u5982\u679c\u5176\u4e2d\u6709\u4e00\u4e9b\u4f4d\u6570\u662f\u4e0d\u7cbe\u786e\u7684\u4f8b\u5982\uff0c\u4ec5\u4ec5\u7cbe\u786e\u5230\u201c\u5341\u4f4d\u201d\uff0c\u5219\u5e94\u8be5\u8bb0\u505a\u201c\\(1.23450\\times 10^{5}\\)\u201d\u5176\u4e2d\u6709\u6548\u6570\u5b57\u6709\\(6\\)\u4f4d\u3002<\/p>\n \u77e5\u8bc6\u548c\u601d\u8003\u7684\u5173\u7cfb\uff1a\u77e5\u8bc6\u672c\u8eab\u662f\u5728\u5df2\u7ecf\u6709\u7684\u77e5\u8bc6\u7684\u57fa\u7840\u4e0a\u901a\u8fc7\u9762\u5bf9\u95ee\u9898\u8fdb\u884c\u601d\u8003\u5f97\u5230\u7684\uff0c\u5b66\u4f1a\u77e5\u8bc6\u4e4b\u540e\u8981\u901a\u8fc7\u601d\u8003\u6765\u8fd0\u7528\u77e5\u8bc6\u3002\u4f8b\u5982\uff0c\u6211\u4eec\u77e5\u9053\u4e86\\(|x|\\)\u662f\u5927\u4e8e\u7b49\u4e8e\u96f6\u7684\uff08\u4e3a\u4ec0\u4e48\uff1f\u8ddd\u79bb\u662f\u6570\u8f74\u4e0a\u4ece\u8fd9\u4e2a\u6570\u5230\u539f\u70b9\u7684\u8ddd\u79bb\uff0c\u8ddd\u79bb\u662f\u5927\u4e8e\u96f6\u7684<\/small>\uff09\uff0c\u6211\u4eec\u4e5f\u77e5\u9053\u4e86\\(x^2\\)\u662f\u5927\u4e8e\u7b49\u4e8e\u96f6\u7684\uff08\u4e3a\u4ec0\u4e48\uff1f\u4e24\u4e2a\u6b63\u6570\u4e58\u8d77\u6765\u81ea\u7136\u5927\u4e8e\u96f6\uff0c\u4e24\u4e2a\u8d1f\u6570\u4e58\u8d77\u6765\u8fd8\u662f\u5927\u4e8e\u96f6\u2014\u2014\u5076\u6570\u4e2a\u8d1f\u53f7\u5f97\u5230\u6b63\u597d\uff0c\u53ea\u6709\\(x=0\\)\u7684\u65f6\u5019\\(x^{2}=0\\)<\/small>\uff09\uff0c\u7136\u540e\uff0c\u5c31\u53ef\u4ee5\u6765\u56de\u7b54\u4e0b\u9762\u8fd9\u9053\u9898\\(|x|+y^{2}=0\\)\uff0c\u6c42\\(x+y\\)\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u6709\u4e24\u4e2a\u5927\u4e8e\u7b49\u4e8e\u96f6\u7684\u4e1c\u897f\u52a0\u8d77\u6765\u8981\u7b49\u4e8e\u96f6\u3002\u8fd9\u4e2a\u65f6\u5019\uff0c\u53ea\u8981\u5176\u4e2d\u6709\u4e00\u4e2a\u662f\u771f\u7684\u5927\u4e8e\u96f6\u7684\uff0c\u52a0\u4e0a\u53e6\u4e00\u4e2a\u5927\u4e8e\u7b49\u4e8e\u96f6\u7684\u6570\u80af\u5b9a\u5408\u8d77\u6765\u5927\u4e8e\u96f6\uff08\u4e00\u4e2a\u771f\u7684\u5927\u4e8e\u96f6\u7684\u6570\u53ea\u6709\u52a0\u4e0a\u4e00\u4e2a\u8d1f\u6570\u624d\u4f1a\u7b49\u4e8e\u96f6\uff09\uff0c\u6240\u4ee5\uff0c\u5176\u4e2d\u7684\u4efb\u4f55\u4e00\u4e2a\u90fd\u4e0d\u80fd\u771f\u7684\u5927\u4e8e\u96f6\u3002\u56e0\u6b64\uff0c\u4e24\u4e2a\u90e8\u5206\u90fd\u5fc5\u987b\u7b49\u4e8e\u96f6\u3002\u8fd9\u91cc\u7528\u5230\u4e86\u6392\u9664\u6cd5\uff08\u8fd8\u6709\u4e00\u70b9\u70b9\u53cd\u8bc1\u6cd5\uff09\u7684\u601d\u7ef4\u65b9\u5f0f\uff1a\u770b\u770b\u90fd\u6709\u54ea\u4e9b\u53ef\u80fd\u7684\u60c5\u51b5\uff0c\u5728\u8fd9\u4e9b\u60c5\u51b5\u4e2d\u6709\u6ca1\u6709\u80fd\u591f\u6ee1\u8db3\u6761\u4ef6\u7684\u3002\u524d\u9762\u7684\\(|x|\\geq 0, x^{2}\\geq 0\\)\u5c31\u662f\u77e5\u8bc6\uff0c\u540e\u9762\u7684\u6392\u9664\u6cd5\u5c31\u662f\u601d\u8003\u3002\u8981\u4ece\u95ee\u9898\u89e3\u51b3\u7684\u4f8b\u5b50\u4e2d\u5b66\u4f1a\u601d\u8003\u7684\u65b9\u6cd5\uff0c\u7136\u540e\u5c31\u53ef\u4ee5\u8fd0\u7528\u77e5\u8bc6\u6765\u5b66\u4e60\u548c\u521b\u9020\u65b0\u7684\u77e5\u8bc6\u548c\u8fd0\u7528\u77e5\u8bc6\u89e3\u51b3\u95ee\u9898\u4e86\u3002<\/p>\n \u6ce8\u610f\uff1a\u5e94\u7528\u9898\u5c31\u662f\u8bfb\u61c2\u95ee\u9898\uff0c\u628a\u6bcf\u4e00\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f<\/strong>\uff0c\u7136\u540e\u628a\u95ee\u9898\u91cc\u9762\u7684\u91cd\u8981\u7684\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\u641e\u6e05\u695a<\/strong>\uff0c\u628a\u8fd9\u4e9b\u5173\u7cfb\u548c\u52a0\u51cf\u4e58\u9664\u6240\u4ee3\u8868\u7684\u5173\u7cfb\u505a\u6bd4\u8f83\uff0c\u628a\u5173\u7cfb\u4e5f\u8f6c\u5316\u6210\u7b97\u5f0f<\/strong>\uff0c\u6700\u540e\u5b8c\u6210\u7b97\u5f0f\u7684\u8ba1\u7b97\u3002\u601d\u8003\u7684\u95ee\u9898\u5c31\u662f\uff1a\u7b97\u51fa\u6765\u7684\u662f\u4ec0\u4e48\uff0c\u7528\u6765\u7b97\u7684\u662f\u4ec0\u4e48\uff0c\u7b97\u51fa\u6765\u7684\u548c\u7528\u6765\u7b97\u7684\u662f\u4ec0\u4e48\u5173\u7cfb\uff0c\u4e3a\u4ec0\u4e48\u662f\u8fd9\u4e2a\u5173\u7cfb\u4ee5\u53ca\u8fd9\u4e2a\u5173\u7cfb\u8fd8\u53ef\u4ee5\u600e\u4e48\u7b97\u3002<\/p>\n \u7b2c\u4e00\u53e5\u8bdd\u7684\u610f\u601d\u5c31\u662f\u5bb6\u91cc\u5230\u5b66\u6821\u7684\u8ddd\u79bb\u662f1000\u7c73\uff0c\u53d8\u6210\u7b97\u5f0f\u5c31\u662f\uff1a\\(L_{1}=L_{jx}=1000m\\)\u3002\u8fd9\u91cc\u8fd9\u4e9b\u89d2\u6807\u7684\u610f\u601d\u5c31\u662f\u201c\u7b2c\u4e00\u6bb5\u8def\u201d\u6216\u8005\u201c\u4ecej\uff08\u5bb6\u91cc\uff09\u5230x\uff08\u5b66\u6821\uff09\u201d\u3002\u7b2c\u4e8c\u53e5\u8bdd\u7684\u610f\u601d\u5c31\u662f\u5b66\u6821\u5230\u5c0f\u5356\u90e8\u7684\u8ddd\u79bb\u662f500\u7c73\uff0c\u53d8\u6210\u7b97\u5f0f\u5c31\u662f\uff1a\\(L_{2}=L_{xm}=1000m\\)\u3002\u8fd9\u91cc\u8fd9\u4e9b\u89d2\u6807\u7684\u610f\u601d\u5c31\u662f\u201c\u7b2c\u4e8c\u6bb5\u8def\u201d\u6216\u8005\u201c\u4ecex\uff08\u5b66\u6821\uff09\u5230m\uff08\u5c0f\u5356\u90e8\uff0c\u4e3a\u4e86\u8ddf\u5b66\u6821\u533a\u522b\uff0c\u7528\u4e86\u5356\u8fd9\u4e2a\u5b57\u7684\u62fc\u97f3\u9996\u5b57\u6bcd\uff09\u201d\u3002\u8fd9\u4e9b\u662f\u5df2\u77e5\u7684\u4e1c\u897f\uff0c\u7528\u6765\u7b97\u7684\u4e1c\u897f\u3002<\/p>\n \u8981\u7b97\u51fa\u6765\u7684\u4e1c\u897f\u662f\u5408\u8d77\u6765\u8d70\u4e86\u591a\u5c11\u8def\u3002<\/p>\n \u7528\u6765\u7b97\u7684\u548c\u7b97\u51fa\u6765\u7684\u5173\u7cfb\u5c31\u662f\u628a\u4e24\u6bb5\u8def\u7684\u957f\u5ea6\u5408\u8d77\u6765\u6570\u4e00\u6570\uff0c\u4e5f\u5c31\u662f\u52a0\u8d77\u6765\u3002<\/p>\n \u91cd\u8981\u7684\u4e8b\u7269\u548c\u91cf\uff1a\u4e24\u6bb5\u8def\u548c\u5b83\u4eec\u7684\u957f\u5ea6\uff0c\u603b\u5171\u6240\u8d70\u7684\u8def\u53ca\u5176\u957f\u5ea6\u3002\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff1a\u603b\u5171\u6240\u8d70\u7684\u8def\u7684\u957f\u5ea6=\u7b2c\u4e00\u6bb5\u8def\u7684\u957f\u5ea6+\u7b2c\u4e8c\u6bb5\u8def\u7684\u957f\u5ea6\u3002\u6216\u8005\u8bb0\u4e3a\\(L_{T}=L_{1}+L_{2}\\)\uff0c\u4e5f\u5c31\u662f\\(L_{T}=1000m+500m=1500m\\)\u3002\u6ce8\u610f\u6709\u7684\u65f6\u5019\u8981\u8f6c\u6362\u5355\u4f4d\u3002<\/p>\n \u628a\u7b2c\u4e00\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u5c31\u662f\u603b\u7684\u8def\u7a0b\u662f\\(L=1.5km\\)\u3002\u628a\u7b2c\u4e8c\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u5c31\u662f\u6211\u7684\u901f\u5ea6\u662f\\(v_{w}=50m\/min\\)\uff0c\u7238\u7238\u7684\u901f\u5ea6\u662f\\(v_{b}=100m\/min\\)\u3002\u8fd9\u4e9b\u662f\u5df2\u77e5\u7684\u4e1c\u897f\uff0c\u7528\u6765\u7b97\u7684\u4e1c\u897f\u3002<\/p>\n \u8981\u7b97\u51fa\u6765\u7684\u4e1c\u897f\u591a\u4e45\u76f8\u9047\u3002<\/p>\n \u8fd9\u4e2a\u95ee\u9898\u6709\u4e24\u4e2a\u76f8\u4e92\u63a5\u8fd1\u7684\u4eba\u5728\u8d70\uff0c\u6bcf\u8fc7\u4e00\u6bb5\u65f6\u95f4\u4ee5\u540e\uff0c\u4e24\u4e2a\u7684\u8ddd\u79bb\u4f1a\u7f29\u77ed\u957f\u5ea6\u76f8\u540c\u7684\u4e00\u90e8\u5206\u3002\u4e8e\u662f\uff0c\u8fc7\u591a\u4e45\u76f8\u9047\u7684\u95ee\u9898\u5c31\u662f\u7ecf\u8fc7\u591a\u5c11\u6b21\u7f29\u77ed\u8fd9\u4e2a\u8ddd\u79bb\u4f1a\u53d8\u6210\u96f6\u3002\u4e8e\u662f\uff0c\u8fd9\u4e2a\u5173\u7cfb\u5c31\u662f\u91cd\u590d\u51cf\u6cd5\uff0c\u88ab\u51cf\u7684\u5c31\u662f\u4e00\u5f00\u59cb\u7684\u603b\u7684\u8ddd\u79bb\uff0c\u6bcf\u6b21\u51cf\u5c11\u7684\u5c31\u662f\u90a3\u4e2a\u5355\u4f4d\u65f6\u95f4\u7684\u4e24\u4e2a\u4eba\u8d70\u7684\u957f\u5ea6\u3002\u4e5f\u5c31\u662f\u8bf4\uff0c\u6211\u4eec\u5148\u8981\u628a\u4e24\u4e2a\u4eba\u7684\u901f\u5ea6\u52a0\u8d77\u6765\uff0c\u7136\u540e\u770b\u770b\u603b\u7684\u8ddd\u79bb\u88ab\u52a0\u8d77\u6765\u7684\u901f\u5ea6\u76f8\u51cf\uff0c\u80fd\u591f\u51cf\u51e0\u6b21\u3002\u91cd\u590d\u76f8\u51cf\u662f\u9664\u6cd5\u540e\u9762\u7684\u5173\u7cfb\u3002<\/p>\n \u6240\u4ee5\uff0c\u6211\u4eec\u5f97\u5230\u4e00\u822c\u7684\u5173\u7cfb\\(T=L\\div\\left(v_{w}+v_{b}\\right)\\)\uff0c\u4e5f\u5c31\u662f\\(T=1500\\div\\left(50+100\\right)=10\\)\u5206\u949f\u3002<\/p>\n \u8fd9\u4e2a\u95ee\u9898\u9700\u8981\u61c2\u5f97\u5229\u6da6\u7684\u6982\u5ff5\u4ee5\u53ca\u6253\u51e0\u6298\u7684\u6982\u5ff5\u3002\u5229\u6da6\u5c31\u662f\u6bd4\u6210\u672c\u9ad8\u51fa\u6765\u7684\u989d\u5ea6\u5360\u6210\u672c\u7684\u767e\u5206\u6bd4\uff0c\u6253\u51e0\u6298\u5c31\u662f\u5b9e\u9645\u552e\u51fa\u4ef7\u94b1\u5360\u5356\u51fa\u6807\u4ef7\u7684\u767e\u5206\u6bd4\u3002\u7528\u6570\u5b66\u8868\u8fbe\u5f0f\u8868\u793a\uff0c\u5c31\u662f\u5229\u6da6\\(r=\\frac{P-P_{0}}{P_{0}}\\times 100\\%\\)\u5176\u4e2d\\(P\\)\u662f\u5b9e\u9645\u5356\u51fa\u4ef7\u94b1\\(P_{0}\\)\u662f\u8fdb\u4ef7\uff0c\u6253\u51e0\u6298\\(s=\\frac{P}{Q}\\times 100\\%\\)\uff0c\u5176\u4e2d\\(Q\\)\u662f\u6807\u4ef7\u3002\u6709\u4e86\u8fd9\u4e9b\u6982\u5ff5\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u6765\u505a\u8fd9\u4e2a\u9898\u4e86\u3002<\/p>\n \u628a\u7b2c\u4e00\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u8fdb\u4ef7200\u5143\uff0c\u4e5f\u5c31\u662f\\(P_{0}=200\\)\u3002<\/p>\n \u628a\u7b2c\u4e8c\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u6807\u4ef7400\u5143\uff0c\u4e5f\u5c31\u662f\\(Q=400\\)\u3002<\/p>\n \u628a\u7b2c\u4e09\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u6700\u4f4e\u5229\u6da6\u662f\\(10\\%\\)\uff0c\u4e5f\u5c31\u662f\\(r\\geq 10\\%\\)\u3002<\/p>\n \u8fd9\u4e9b\u662f\u5df2\u77e5\u7684\u4e1c\u897f\uff0c\u7528\u6765\u7b97\u7684\u4e1c\u897f\u3002<\/p>\n \u8981\u7b97\u51fa\u6765\u7684\u4e1c\u897f\u662f\u6700\u4f4e\u552e\u4ef7\u662f\u591a\u5c11\uff0c\u76f8\u5f53\u4e8e\u6807\u4ef7\u7684\u51e0\u6298\u3002<\/p>\n \u6211\u4eec\u6765\u5206\u6790\u8981\u7b97\u51fa\u6765\u7684\u4e1c\u897f\u548c\u7528\u6765\u7b97\u7684\u4e1c\u897f\u7684\u5173\u7cfb\u3002\u9996\u5148\uff0c\u5982\u679c\u77e5\u9053\u6700\u4f4e\u552e\u4ef7\u662f\u591a\u5c11\u94b1\uff0c\u6211\u4eec\u73b0\u5728\u5df2\u7ecf\u77e5\u9053\u4e86\u6807\u4ef7\uff0c\u90a3\u4e48\uff0c\u5c31\u53ef\u4ee5\u7528\u6298\u6263\u7684\u5b9a\u4e49\\(s=\\frac{P}{Q}\\times 100\\%\\)\u7b97\u51fa\u6765\u76f8\u5e94\u7684\u6298\u6263\u3002\u56e0\u6b64\uff0c\u6240\u6709\u7684\u95ee\u9898\u53d8\u6210\u8981\u7b97\u51fa\u6765\u6700\u4f4e\u4ef7\u94b1\u3002<\/p>\n \u6309\u7167\u8fd9\u4e24\u4e2a\u5df2\u77e5\u7684\u4e1c\u897f\u7684\u6570\u5b66\u8868\u8fbe\u5f0f\uff0c\\(r\\geq 10\\%\\)\u548c\\(P_{0}=200\\)\uff0c\u7ed3\u5408\u5229\u6da6\u7684\u5b9a\u4e49\\(r=\\frac{P-P_{0}}{P_{0}}\\times 100\\)\uff0c\u6211\u4eec\u6709\\(r=\\frac{P-200}{200}\\times 100\\%\\geq 10\\% \\Rightarrow P\\geq 220\\)\u3002\u56e0\u6b64\uff0c\u6700\u4f4e\u4ef7\u94b1\u5c31\u662f\\(P=220\\)\u5143\u3002\u7136\u540e\uff0c\u7ed3\u5408\u6298\u6263\u7684\u5b9a\u4e49\uff0c\u5c31\u5f97\u5230\\(s\\geq \\frac{220}{400}=55\\%\\)\u3002<\/p>\n \u6700\u540e\uff0c\u6709\u4e00\u4e2a\u5c0f\u5c0f\u7684\u8bed\u8a00\u4e60\u60ef\uff0c\u6211\u4eec\u628a\\(10\\%\\)\u5f53\u505a\u4e00\u6298\uff0c\u56e0\u6b64\\(55\\%\\)\u76f8\u5f53\u4e8e\\(5.5\\)\u4e2a\\(10\\%\\)\uff0c\u4e5f\u5c31\u662f\\(5.5\\)\u6298\u3002<\/p>\n \u628a\u7b2c\u4e00\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u53bb\u7684\u65f6\u5019\u7528\u7684\u65f6\u95f4\u662f40\u5206\u949f\uff0c\u4e5f\u5c31\u662f\\(T_{q}=40min\\)\u3002<\/p>\n \u628a\u7b2c\u4e8c\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u8fd4\u56de\u7684\u65f6\u5019\u901f\u5ea6\u6bd4\u53bb\u7684\u65f6\u5019\u5feb25\u5343\u7c73\u6bcf\u5c0f\u65f6\uff0c\u4e5f\u5c31\u662f\\(v_{h}-v{q}=25km\/h\\)\u3002<\/p>\n \u628a\u7b2c\u4e09\u53e5\u8bdd\u53d8\u6210\u7b97\u5f0f\uff0c\u56de\u6765\u7684\u65f6\u5019\u7528\u7684\u65f6\u95f4\u5c11\u4e8610\u5206\u949f\uff0c\u4e5f\u5c31\u662f\\(T_{q}-T_{h}=10min\\)\u3002\u4ece\u8fd9\u4e2a\u5173\u7cfb\uff0c\u6211\u4eec\u76f4\u63a5\u5c31\u80fd\u591f\u5f97\u5230\u56de\u6765\u7684\u65f6\u5019\u7528\u7684\u65f6\u95f4\uff0c\\(T_{h}=T_{q}-10min = 30 min\\)\u3002<\/p>\n \u8fd9\u4e9b\u662f\u5df2\u77e5\u7684\u4e1c\u897f\uff0c\u7528\u6765\u7b97\u7684\u4e1c\u897f\u3002<\/p>\n \u8981\u7b97\u51fa\u6765\u7684\u4e1c\u897f\u662f\u6e2f\u73e0\u6fb3\u5927\u6865\u7684\u957f\u5ea6\\(L\\)\u3002<\/p>\n \u6211\u4eec\u6765\u770b\u5173\u7cfb\uff1a\u4e0d\u7ba1\u662f\u53bb\u7684\u65f6\u5019\uff0c\u8fd8\u662f\u56de\u6765\u7684\u65f6\u5019\uff0c\u6211\u4eec\u90fd\u6709\u901f\u5ea6\u4e58\u4ee5\u65f6\u95f4\u7b49\u4e8e\u8ddd\u79bb\uff0c\u4e5f\u5c31\u662f\\(v_{q}\\times T_{q}=L, v_{h}\\times T_{h}=L\\)\u3002\u6211\u4eec\u53d1\u73b0\uff0c\u53ea\u8981\u77e5\u9053\u4e86\u53bb\u7684\u65f6\u5019\u7684\u901f\u5ea6\u6216\u8005\u56de\u6765\u7684\u65f6\u5019\u7684\u901f\u5ea6\uff0c\u4e5f\u5c31\u80fd\u591f\u77e5\u9053\u8ddd\u79bb\\(L\\)\u3002\u4f46\u662f\uff0c\u6211\u4eec\u4e0d\u77e5\u9053\u901f\u5ea6\u7684\u503c\uff0c\u4ec5\u4ec5\u77e5\u9053\u4e24\u8005\u901f\u5ea6\u7684\u5dee\\(v_{h}-v{q}=25km\/h\\)\u3002\u6211\u4eec\u6765\u770b\u770b\u80fd\u4e0d\u80fd\u628a\u8fd9\u4e2a\u901f\u5ea6\u5dee\u7684\u5df2\u77e5\u6761\u4ef6\u7528\u4e0a\u3002<\/p>\n \u6211\u4eec\u5df2\u7ecf\u77e5\u9053\u4e86\u53bb\u7684\u65f6\u5019\u7684\u65f6\u95f4\\(T_{q}=40min\\)\u548c\u56de\u6765\u7684\u65f6\u5019\u7684\u65f6\u95f4\\(T_{q}=30min\\)\u3002\u5229\u7528\u901f\u5ea6\u4e58\u4ee5\u65f6\u95f4\u7b49\u4e8e\u8ddd\u79bb\uff0c\u6211\u4eec\u5c31\u53ef\u4ee5\u628a\u53bb\u7684\u901f\u5ea6\u548c\u56de\u6765\u7684\u901f\u5ea6\u5199\u51fa\u6765\uff0c\u4e5f\u5c31\u662f\\(v_{q}=\\frac{L}{T_{q}}=\\frac{L}{40}\\)\uff0c\\(v_{h}=\\frac{L}{T_{h}}=\\frac{L}{30}\\)\uff0c\u7136\u540e\u4e24\u8005\u7684\u5dee\u5c31\u662f\\(v_{h}-v_{q}=\\frac{L}{30}-\\frac{L}{40}=25\\)\u3002\u8fd9\u4e2a\u5305\u542b\u7b49\u53f7\u7684\u7b97\u5f0f\u91cc\u9762\u6709\u4e00\u4e2a\u672a\u77e5\u6570\\(L\\)\uff0c\u4e5f\u5c31\u662f\u8fd9\u662f\u4e00\u4e2a\u65b9\u7a0b\u3002<\/p>\n \u6700\u540e\u6c42\u89e3\u5f00\u8fd9\u4e2a\u65b9\u7a0b\uff0c\\(\\frac{L}{30}-\\frac{L}{40}=25\\)\uff0c\u65b9\u7a0b\u4e24\u8fb9\u4e58\u4ee5\\(120\\)\uff0c\u5f97\u5230\\(4L-3L=3000\\)\uff0c\u4e5f\u5c31\u662f\\(L=3000\\)\u3002<\/p>\n<\/ol>\n \u4e0d\u7ba1\u591a\u4e48\u590d\u6742\u7684\u95ee\u9898\uff0c\u53ea\u8981\u627e\u51fa\u6765\u91cd\u8981\u7684\u91cf\uff0c\u8fd9\u4e9b\u91cf\u4e4b\u95f4\u7684\u5173\u7cfb\uff0c\u628a\u5173\u7cfb\u8868\u8fbe\u6210\u6570\u5b66\u8868\u8fbe\u5f0f\uff0c\u7136\u540e\u5bf9\u8fd9\u4e9b\u6570\u5b66\u8868\u8fbe\u5f0f\u505a\u8ba1\u7b97\uff0c\u90fd\u53ef\u4ee5\u89e3\u51b3\u3002\u6838\u5fc3\u5c31\u662f\u628a\u8bed\u8a00\u53d8\u6210\u7b97\u5f0f<\/strong>\u3002<\/p>\n \u4f8b\u5982\uff0c\\(-6(x+y-1)=-6x-6y+6,-(x+y-1)=-x-y+1\\)<\/p>\n \u4f8b\u5982\uff0c\\(ax^2+bx+c=0\\)\u662f\u4e00\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff0c\u5219\u610f\u5473\u7740\u4e8c\u6b21\u9879\u4e0d\u80fd\u51fa\u73b0\uff08\u65b9\u7a0b\u7684\u6b21\u6570\u662f\u6700\u9ad8\u9879\u7684\u6b21\u6570\uff09\uff0c\u4e8e\u662f\\(a=0\\)\uff1b\u540c\u65f6\uff0c\u7531\u4e8e\u4e00\u6b21\u9879\u5fc5\u987b\u6709\uff08\u624d\u662f\u4e00\u4e2a\u4e00\u5143\u4e00\u6b21\u65b9\u7a0b\uff09\uff0c\u5219\\(b\\neq 0\\)\u3002\u5982\u679c\u8bf4\uff0c\\(ax^2+bx+c=0\\)\u548c\\(x\\)\u6ca1\u6709\u5173\u7cfb\uff0c\u4e5f\u5c31\u662f\u4e0d\u51fa\u73b0\\(x\\)\uff0c\u5219\\(x\\)\u7684\u5404\u6b21\u9879\u7684\u7cfb\u6570\u90fd\u662f\u96f6\uff0c\u4e5f\u5c31\u662f\\(a=0,b=0\\)\u3002<\/p>\n \u4f8b\u5982\uff0c\\(\\frac{x+1}{5}+\\frac{2x-3}{4}=0\\)\u53ef\u4ee5\u76f4\u63a5\u4e58\u4ee5\u5206\u5b50\u5206\u6bcd\u7684\u4e58\u79ef\\(4\\times 5 =20\\)\u5f97\u5230\\(4\\times(x+1)+5\\times(2x-3)=0\\)\uff1b\\(\\frac{x+1}{0.1}+\\frac{2x-3}{0.02}=0\\)\u53ef\u4ee5\u76f4\u63a5\u4e58\u4ee5\\(0.1\\times 0.02 =0.002\\)\uff08\u8fd9\u4e2a\u8ba1\u7b97\u81ea\u5df1\u7ee7\u7eed\u7b97\u4e00\u4e0b\\(0.02\\times (x+1)+0.1\\times (2x-3)=0\\)\uff09\uff0c\u4e5f\u53ef\u4ee5\u5148\u7528\u5206\u6570\u7684\u6027\u8d28\uff08\u5206\u5b50\u5206\u6bcd\u540c\u65f6\u4e58\u4ee5\u4e00\u4e2a\u6570\u5206\u6570\u503c\u4e0d\u53d8\uff09\u53d8\u6210 \u5b66\u4e60\u65b9\u6cd5\uff1a\u5b66\u4e60\u65b0\u6982\u5ff5\u7684\u65f6\u5019\u5148\u641e\u61c2\uff08\u901a\u8fc7\u628a\u65b0\u7684\u6982\u5ff5\u8054\u7cfb\u5230\u5df2\u7ecf\u5b66\u4f1a\u7684\u6982\u5ff5\u6765\u641e\u61c2\uff09\uff0c\u7136\u540e\u628a\u641e\u61c2\u7684\u6982\u5ff5\u68b3\u7406\u5230\u8fd9\u91cc\uff0c\u9009\u62e9 … \u7ee7\u7eed\u9605\u8bfb\u201c\u6570\u5b66\u5b66\u4e60\u8fdb\u5ea6\u603b\u7ed3\u201d<\/span><\/a><\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[3],"tags":[],"_links":{"self":[{"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/posts\/273"}],"collection":[{"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/comments?post=273"}],"version-history":[{"count":43,"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/posts\/273\/revisions"}],"predecessor-version":[{"id":322,"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/posts\/273\/revisions\/322"}],"wp:attachment":[{"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/media?parent=273"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/categories?post=273"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.systemsci.org\/lindsay\/wp-json\/wp\/v2\/tags?post=273"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n<\/strong><\/p>\n\u5e94\u7528\u9898\u4e3e\u4f8b<\/h2>\n
\n
\u9519\u9898\u672c<\/h2>\n
\n
\n\\[
\n\\frac{x+1}{0.1}+\\frac{2x-3}{0.02}=0 \\\\
\n\\Rightarrow \\frac{(x+1)\\times 10}{0.1\\times 10}+\\frac{(2x-3)\\times 100}{0.02\\times 100}=0 \\\\
\n\\Rightarrow \\frac{10x+10}{1}+\\frac{200x-300}{2}=0
\n\\]
\n\u4e4b\u540e\uff0c\u53ef\u4ee5\u5148\u5316\u7b80
\n\\[
\n10x+10+100x-150=0
\n\\]
\n\u6700\u540e\u89e3\u51fa\u6765\u3002\u6216\u8005\uff0c\u65b9\u7a0b\u4e24\u8fb9\u540c\u65f6\u4e58\u4ee5\u4e24\u4e2a\u5206\u6bcd\u7684\u4e58\u79ef\uff0c\u4e5f\u5c31\u662f
\n\\[
\n\\left(1\\times 2\\right) \\times \\left(\\frac{10x+10}{1}+\\frac{200x-300}{2}\\right)=0 \\\\
\n\\Rightarrow 2\\times (10x+10)+1\\times (200x-300)=0 \\\\
\n\\Rightarrow 20x+20+200x-300=0
\n\\]
\n\u6700\u540e\u89e3\u51fa\u6765\u3002\n<\/ol>\n","protected":false},"excerpt":{"rendered":"