例说导数方法的简单应用

On examples of simple application of derivative

本文主要分析在近几年的数学高考题中导数方法的应用。阐述了利用导数知识研究函数的单调区间、最大值最小值等问题的基本方法,以及导数方法为解决某些不等式的证明、数列求和等问题提供了捷径。同时导数方法在研究曲线的切线方面更有广泛的应用,也体现了数形结合的重要思想。

It analyzes the application of derivative in the matriculation texts in the last few years. It explains some basic ways of how to use derivative to study monotonous zone in function, to calculate maximum and minimum, and how to solve some problems on inequality and number sequence, etc. Meanwhile,it also points out that the methods of derivative can be more extentively applied in the research on tangent of the curve, which proves the important thought of the combination of figure and chart.