导数为高中数学新增内容,给高中数学注入了新的活力.利用导数方法往往会比传统的初等方法显得更简便、更易行、更有效.下面就不等式与恒等式证明的有关问题,举例说明. 一、证明不等式以导数为工具,利用函数的单调性,或利用函数的最值,使不等式的证明更具方向性和可操作性. The derivative is the new content of high school mathematics, which injects new vitality into high school mathematics. The use of derivative methods tends to be simpler, easier, and more effective than the traditional elementary methods. Here are some examples of inequalities and identity problems. 1. Prove that the inequality uses the derivative as a tool, making use of the monotony of the function, or using the function’s maximum value to make the inequality prove more directional and operability.