纵观近几年的高考数学试题,高考对导数的考察的要求可分为三个层次:一是考察导数的概念和某些实际背景(如瞬时速度,加速度,切线的斜率等),求导公式和求导法则;二是导数的简单应用,包括求函数的极值和最值,求函数的单调区间,证明函数的增 Looking at the mathematics questions of the college entrance examination in recent years, the requirements for the examination of derivatives in the college entrance examination can be divided into three levels: one is to investigate the concept of derivatives and some practical background (such as instantaneous speed, acceleration, slope of tangent, etc.) Formula and derivative rule; Second, simple application of derivatives, including finding the extremum and the maximum of the function, finding the monotonic interval of the function, and proving the increase of the function