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柯西不等式在中学代数问题中的应用

Author(s)：
姚敏欣娄雨涵万慧琳胡晓莉

Publication Title：

Wen Yuan (Middle School Edition) 2020 No.12

Affiliations：
江汉大学人工智能学院湖北武汉 430056

Abstract：
柯西不等式是数学中的一个重要不等式,普遍应用于初等数学中.尤其是在求方程组的解集,解三角问题,推导其他不等式等中有着广泛应用.本文介绍了柯西不等式与它的三个变式,给出了柯西不等式在解方程组、求值域问题、证明三角不等式与其他不等式等代数问题中的应用,给一些基础数学题,高考题或竞赛题提供了另一种思考问题的视角.

Keywords：
柯西不等式;不等式变式;中学代数

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[1] 姚敏欣,娄雨涵,万慧琳,胡晓莉.柯西不等式在中学代数问题中的应用[J].Wen Yuan (Middle School Edition),2020(12),.

文渊(中学版)

Wen Yuan (Middle School Edition)

Language: 中文

CN：11-9275/G

ISSN：2096-627X

Publication Frequency: 月刊

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