\u76f8\u4fe1\u5f88\u591a\u57fa\u7840\u6bd4\u8f83\u597d\u7684\u5b66\u751f\u5bf9\u89e3\u65b9\u7a0b\u53c8\u6709\u4e86\u8fdb\u4e00\u6b65\u8ba4\u8bc6\uff0c\u90a3\u4e48\u5bf9\u4e8e\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u516c\u5f0f\u5927\u5bb6\u53c8\u6709\u51e0\u5206\u628a\u63e1\u5462\uff1f\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u662f\u9ad8\u4e2d\u6570\u5b66\u4e2d\u7684\u4e00\u4e2a\u96be\u70b9\uff0c\u4ee5\u4e0b\u662f\u5bf9\u5176\u516c\u5f0f\u7684\u5206\u6790\uff0c\u5177\u4f53\u8fc7\u7a0b\u4fbf\u4e8e\u5927\u5bb6\u7406\u89e3\u8fd9\u4e2a\u516c\u5f0f\u3002<\/p>\n
\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f6\u4e2a\u57fa\u672c\u516c\u5f0f<\/p>\n
\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u516c\u5f0f\u4e3a\uff1a||a|-|b||\u2264|a\u00b1b|\u2264|a|+|b|\u3002<\/p>\n
\u5982\uff1a<\/p>\n
|x+y|\u2264|x|+|y|<\/p>\n
\u5f53xy\uff1c0\u65f6\uff0c|X+Y|\uff1c|X|+|Y|<\/p>\n
\u5f53xy\u22650\u65f6\uff0c|X+Y|=|X|+|Y|<\/p>\n
\u6545\u6b64\u5f53\u770b\u5230\u9898\u4e2d\u6709\u8fd9\u6837\u7684\u8868\u8fbe\u5f0f\uff1a<\/p>\n
|X|+|Y|=|X+Y|\u9a6c\u4e0a\u5b8c\u5168\u5c31\u80fd\u591f\u60f3\u5230XY\u22650\u7136\u540e\u8ba1\u7b97\u7ed3\u679c\u5c31\u884c\u4e86\u3002\u5f53\u7136\u4e86\uff0c\u5047\u8bbe\u9898\u4e2d\u7684\u683c\u5f0f\u4e0e\u6211\u4eec\u7684\u4e00\u6837\uff0c\u5c31\u6bd4\u8f83\u7b80\u5355\u4e86\u3002\u5047\u8bbe\u78b0\u89c1\u53d8\u5f62\u7684\u5c31\u53ef\u4ee5\u8ba9\u4eba\u611f\u5230\u96be\u505a\uff0c\u4e0b\u9762\u5217\u4e3e\u4e00\u4e0b\u53d8\u5f62\u7684\u5f62\u5f0f\u3002<\/p>\n
|X|-|Y|=|X+Y|\u90a3\u5c31\u662f\u4e00\u4e2a\u9700\u53d8\u5f62\u7684\u8003\u8bd5\u8bd5\u5377\uff0c\u53d8\u5f62\u8bf7\u770b\u4e0b\u65b9\u5177\u4f53\u5185\u5bb9\uff1a<\/p>\n
\u7b2c1\u4e2a\u6b65\u9aa4\uff0c|X|=|X+Y|+|Y|\uff0c\u518d\u53d8\u5f62\u8fdb\u5165\u7b2c2\u4e2a\u6b65\u9aa4\uff1b<\/p>\n
\u7b2c2\u4e2a\u6b65\u9aa4\uff0c|X+Y+\uff08-Y\uff09|=|X+Y|+|-Y|\uff0c\u8fd9\u6837\u4e00\u6765\u5c31\u4e0e\u6211\u4eec\u521a\u624d\u7684\u516c\u5f0f\u4e00\u6837\u4e86\uff0c\u6545\u6b64\u53ef\u4ee5\u63a8\u51fa\uff08X+Y\uff09\uff08-Y\uff09\u22650\uff0c\u76f4\u63a5\u8ba1\u7b97\u7ed3\u679c\u5c31\u884c\u4e86\u3002<\/p>\n
\u5f3a\u8c03\u4e00\u4e0b\uff0c|Y|=|Y|\uff0c<\/p>\n
\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u516c\u5f0f\u4e3a\uff1a||a|-|b||\u2264|a\u00b1b|\u2264|a|+|b|\u3002<\/p>\n
\u7edd\u5bf9\u503c\u662f\u6307\u4e00\u4e2a\u6570\u5728\u6570\u8f74\u4e0a\u6240\u5bf9\u5e94\u70b9\u5230\u539f\u70b9\u7684\u8ddd\u79bb\uff0c\u7528\u201c| |\u201d\u6765\u8868\u793a\u3002|b-a|\u6216|a-b|\u8868\u793a\u6570\u8f74\u4e0a\u8868\u793aa\u7684\u70b9\u548c\u8868\u793ab\u7684\u70b9\u7684\u8ddd\u79bb\u3002\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u516c\u5f0f\u4e3a\uff1a||a|-|b||\u2264|a\u00b1b|\u2264|a|+|b|\u3002<\/p>\n
\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u51e0\u4f55\u610f\u4e49<\/p>\n
1\u3001\u5f53a\uff0cb\u540c\u53f7\u65f6\u5b83\u4eec\u4f4d\u4e8e\u539f\u70b9\u7684\u540c\u4e00\u8fb9\uff0c\u6b64\u65f6a\u4e0e-b\u7684\u8ddd\u79bb\u7b49\u4e8e\u5b83\u4eec\u5230\u539f\u70b9\u7684\u8ddd\u79bb\u4e4b\u548c\u3002<\/p>\n
2\u3001\u5f53a\uff0cb\u5f02\u53f7\u65f6\u5b83\u4eec\u5206\u522b\u4f4d\u4e8e\u539f\u70b9\u7684\u4e24\u8fb9\uff0c\u6b64\u65f6a\u4e0e-b\u7684\u8ddd\u79bb\u5c0f\u4e8e\u5b83\u4eec\u5230\u539f\u70b9\u7684\u8ddd\u79bb\u4e4b\u548c\u3002<\/p>\n
\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u600e\u4e48\u89e3<\/p>\n
1\u3001\u5355\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u89e3\u6cd5\u3002<\/p>\n
\u5355\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u6709\u4e00\u4e2a\u548c\u4e8c\u6b21\u4e0d\u7b49\u5f0f\u4e00\u6a21\u4e00\u6837\u7684\u5fc3\u6cd5\u53e3\u8bc0\u2014\u2014\u5927\u4e8e\u53d6\u4e24\u8fb9\uff0c\u5c0f\u4e8e\u53d6\u4e2d\u95f4\u3002<\/p>\n
\u8fd9\u91cc\u7684\u4e24\u8fb9\u6216\u4e2d\u95f4\uff0c\u662f\u6307\u7684\u7edd\u5bf9\u503c\u4e0d\u7b49\u53f7\u53e6\u4e00\u8fb9\u7684\u6570\u4e0e\u5176\u76f8\u53cd\u6570\u7684\u4e24\u8fb9\u6216\u4e2d\u95f4\uff0c\u5f53\u7136\u8fd9\u4e2a\u6570\u5fc5\u987b\u662f\u6b63\u6570\u624d\u884c\u3002<\/p>\n
\u5177\u4f53\u6765\u8bf4\uff1a|ax+b|\u2264c\uff0c|ax+b|\u2265c\u578b\u4e0d\u7b49\u5f0f\u7684\u89e3\u6cd5\uff1a<\/p>\n
\uff081\uff09\u82e5c\uff1e0\uff0c\u5219|ax+b|\u2264c\u7684\u89e3\u4e3a-c\u2264ax+b\u2264c\uff0c|ax+b|\u2265c\u7684\u89e3\u4e3aax+b\u2264-c\u6216ax+b\u2265c\uff0c\u518d\u6839\u636ea\uff0cb\u7684\u503c\u6c42\u89e3\uff1b<\/p>\n
\uff082\uff09\u82e5c\uff1c0\uff0c\u5219|ax+b|\u2264c\u7684\u89e3\u4e3a\uff1f\uff0c|ax+b|\u2265c\u7684\u89e3\u4e3aR\uff1b<\/p>\n
\uff083\uff09\u82e5c\uff1d0\uff0c\u5219|ax+b|\u2264c\u7684\u89e3\u4e3aax+b\uff1d0\uff0c|ax+b|\u2265c\u7684\u89e3\u4e3aR\u3002<\/p>\n
|ax+b|\uff1cc\uff0c|ax+b|\uff1ec\u578b\u4e0d\u7b49\u5f0f\u7684\u89e3\u6cd5\uff1a<\/p>\n
\uff081\uff09\u82e5c\uff1e0\uff0c\u5219|ax+b|\uff1cc\u7684\u89e3\u4e3a-c\uff1cax+b\uff1cc\uff0c|ax+b|\uff1ec\u7684\u89e3\u4e3aax+b\uff1c-c\u6216ax+b\uff1ec\uff0c\u518d\u6839\u636ea\uff0cb\u7684\u503c\u6c42\u89e3\uff1b<\/p>\n
\uff082\uff09\u82e5c\uff1c0\uff0c\u5219|ax+b|\uff1cc\u7684\u89e3\u4e3a\uff1f\uff0c|ax+b|\uff1ec\u7684\u89e3\u4e3aR\uff1b<\/p>\n
\uff083\uff09\u82e5c\uff1d0\uff0c\u5219|ax+b|\uff1cc\u7684\u89e3\u4e3a\uff1f\uff0c|ax+b|\uff1ec\u7684\u89e3\u4e3aax+b\u22600\u3002<\/p>\n
2\u3001\u53cc\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u89e3\u6cd5\u3002<\/p>\n
\u53cc\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u89e3\u6cd5\u4e3a\u96f6\u70b9\u5212\u5206\u533a\u95f4\u6cd5\uff0c\u4e5f\u5c31\u662f\u901a\u8fc7\u5206\u7c7b\u8ba8\u8bba\u53bb\u6389\u7edd\u5bf9\u503c\u53f7\u540e\u8fdb\u884c\u6c42\u89e3\u3002<\/p>\n
\u6bd4\u5982\uff1a\u89e3\u4e0d\u7b49\u5f0f\u4e28x-4\u4e28+\u4e282x-1\u4e28\uff1c5\u7684\u89e3\u96c6\u3002<\/p>\n
\u7b2c\u4e00\u6b65\uff0c\u627e\u51fa\u5206\u754c\u70b9\u3002\u5206\u754c\u70b9\u4e3a\u51b3\u5b9a\u7edd\u5bf9\u503c\u53f7\u5185\u5173\u4e8e0\u7684\u5927\u5c0f\u7684x\u7684\u53d6\u503c\u3002<\/p>\n
\u8fd9\u9053\u4f8b\u9898\u7684\u5206\u754c\u70b9\u4e3a4\u548c1\/2\u3002<\/p>\n
\u7b2c\u4e8c\u6b65\uff0c\u7528\u5206\u754c\u70b9\u5212\u5206\u6570\u533a\u95f4\u3002<\/p>\n
\u65e2\u7136\u5206\u754c\u70b9\u662f4\u548c1\/2\uff0c\u90a3\u4e48\u5168\u90e8\u7684\u6570\u5c31\u88ab\u8fd9\u4e24\u4e2a\u70b9\u5212\u5206\u4e3a\u4e86\u4e09\u90e8\u5206\u2014\u2014\uff08-\u221e\uff0c1\/2\uff09\uff0c\uff3b1\/2\uff0c4\uff09\uff0c\uff3b4\uff0c+\u221e\uff09\u3002<\/p>\n
\u7279\u522b\u6ce8\u610f\uff0c\u4e09\u4e2a\u533a\u95f4\u5185\uff0c\u5206\u754c\u70b9\u6570\u503c\u4f1a\u51fa\u73b0\u4e24\u6b21\uff0c\u8fd9\u4e24\u6b21\u4e0d\u7b49\u90fd\u80fd\u53d6\u5230\u5206\u754c\u70b9\u503c\uff0c\u4e5f\u4e0d\u80fd\u90fd\u53d6\u4e0d\u5230\u5206\u754c\u70b9\u503c\uff0c\u8981\u4e00\u4e2a\u53d6\u5230\uff0c\u4e00\u4e2a\u53d6\u4e0d\u5230\u3002<\/p>\n
\u7b2c\u4e09\u6b65\uff0c\u5206\u7c7b\u8ba8\u8bba\u53bb\u7edd\u5bf9\u503c\u53f7\u3002<\/p>\n
\u4e0a\u9898\uff0c\u5f53x\u2208\uff08-\u221e\uff0c1\/2\uff09\u65f6\uff0c\u539f\u5f0f\u53bb\u6389\u7edd\u5bf9\u503c\u53f7\u540e\u53d8\u4e3a4-x+1-2x\uff1c5\uff1b<\/p>\n
\u5f53x\u2208\uff3b1\/2\uff0c4\uff09\u65f6\uff0c\u539f\u5f0f\u53bb\u6389\u7edd\u5bf9\u503c\u53f7\u53d8\u4e3a4-x+2x-1\uff1c5\uff1b<\/p>\n
\u5f53x\u2208\uff3b4\uff0c+\u221e\uff09\u65f6\uff0c\u539f\u5f0f\u53bb\u6389\u7edd\u5bf9\u503c\u53f7\u53d8\u4e3ax-4+2x-1\uff1c5\u3002<\/p>\n
\u7b2c\u56db\u6b65\uff0c\u5206\u522b\u89e3\u5404\u533a\u95f4\u5185\u7684\u4e0d\u7b49\u5f0f\uff0c\u89e3\u96c6\u4e0e\u533a\u95f4x\u7684\u53d6\u503c\u8303\u56f4\u53d6\u4ea4\u96c6\u3002<\/p>\n
\u4e0a\u9898\uff0c\u5f53x\u2208\uff08-\u221e\uff0c1\/2\uff09\u65f6\uff0c\u4e0d\u7b49\u5f0f\u89e3\u96c6\u4e3a\uff080\uff0c+\u221e\uff09\uff0c\u4e0ex\u53d6\u503c\u8303\u56f4\u53d6\u4ea4\u96c6\u5f97\uff080\uff0c1\/2\uff09\uff1b<\/p>\n
\u5f53x\u2208\uff3b1\/2\uff0c4\uff09\u65f6\uff0c\u4e0d\u7b49\u5f0f\u89e3\u96c6\u4e3a\uff08-\u221e\uff0c2\uff09\uff0c\u4e0ex\u53d6\u503c\u8303\u56f4\u53d6\u4ea4\u96c6\u5f97\uff3b1\/2\uff0c2\uff09\uff1b<\/p>\n
\u5f53x\u2208\uff3b4\uff0c+\u221e\uff09\u65f6\uff0c\u4e0d\u7b49\u5f0f\u89e3\u96c6\u4e3a\uff08-\u221e\uff0c10\/3\uff09\uff0c\u4e0ex\u53d6\u503c\u8303\u56f4\u53d6\u4ea4\u96c6\u5f97\uff1f\u3002<\/p>\n
\u7b2c\u4e94\u6b65\uff0c\u5c06\u5404\u533a\u95f4\u6700\u7ec8\u89e3\u96c6\u53d6\u5e76\u96c6\uff0c\u5373\u4e3a\u8be5\u4e0d\u7b49\u5f0f\u6700\u7ec8\u89e3\u96c6\u3002<\/p>\n
\u4e0a\u9898\uff0c\u6700\u7ec8\u89e3\u96c6\u4e3a\uff080\uff0c2\uff09\u3002<\/p>\n
\u8fd9\u5c31\u662f\u53cc\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u57fa\u672c\u89e3\u6cd5\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"
\u76f8\u4fe1\u5f88\u591a\u57fa\u7840\u6bd4\u8f83\u597d\u7684\u5b66\u751f\u5bf9\u89e3\u65b9\u7a0b\u53c8\u6709\u4e86\u8fdb\u4e00\u6b65\u8ba4\u8bc6\uff0c\u90a3\u4e48\u5bf9\u4e8e\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u7684\u516c\u5f0f\u5927\u5bb6\u53c8\u6709\u51e0\u5206\u628a\u63e1\u5462\uff1f\u7edd\u5bf9\u503c\u4e0d\u7b49\u5f0f\u662f … \u9605\u8bfb\u66f4\u591a<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-7506","post","type-post","status-publish","format-standard","hentry","category-shuxue"],"views":719,"_links":{"self":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/7506","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/comments?post=7506"}],"version-history":[{"count":1,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/7506\/revisions"}],"predecessor-version":[{"id":7507,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/posts\/7506\/revisions\/7507"}],"wp:attachment":[{"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/media?parent=7506"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/categories?post=7506"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.114158.com\/z\/wp-json\/wp\/v2\/tags?post=7506"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}