凹凸函数在初等数学中的一些应用

摘    要

从凹凸函数的定义和几何特征出发,归纳了它在初等数学中的1些性质,结合实例总结了它在证明不等式﹑求最值﹑判定函数的单调性以及解特殊方程(或方程组)中的应用.
关键词: 凹函数；凸函数；不等式；最值；单调性.

Abstract

From the definition and the geometry characteristic of the concave and the convex functions, we summarize some properties thereof in elementary mathematics, and give their applications in proving inequalities, finding extremum, determining monotonicity of functions, solving special equation (or system of equations) with some examples.
Key word: Concave function; Convex function; Inequality; Extremum; Monotonicity.

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注：【包括：毕业，任务书，开题报告】