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Home > Wen Yuan (Primary School Edition) > 2019 No.03 > 求解函数单调性的几种策略

  • 求解函数单调性的几种策略

    Author(s)：

    张金玲

    Publication Title：

    Wen Yuan (Primary School Edition) 2019 No.03

    Affiliations：

    白云鄂博矿区教育局 内蒙古 包头 014080

    Abstract：

    在我们数学学习中,函数占大部分,判断函数单调性是函数的重要性质之一,从代数意义上看,函数的单调性反映了函数随着自变量的增大而变化(增大或减小)的情况:从几何意义上看,函数的单调性反映了函数图象在定义域的各个子集内的变化情况(上升或下降),因此函数的单调性是研究函数运动变化趋势的重要内容和方法.判定函数单调性又分为定义域区间具有单调性和不具有单调性两种.通常定义域具有单调性的情况下判断函数的单调性方法主要有三种:图像法、函数单调性定义法和导数法.

    Keywords：

    判断函数单调性的方法;图像法导数法;单调性定义;零点法

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    [1] 张金玲.求解函数单调性的几种策略[J].Wen Yuan (Primary School Edition),2019(03),.

文渊(小学版)
Wen Yuan (Primary School Edition)

Language: 中文

CN：11-9274/G

ISSN：2096-6261

Publication Frequency: 月刊

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