数学高考压轴题中高频出现的高等数学知识点及解题方法

The Knowledge Points and oblem-solving Methods of Higher Mathematics Which Appear Frequently in the Finale of Mathematics College Entrance Examination

高考数学压轴题以部分高等数学基础性定理、性质作为命题方向或命题背景,同时也兼顾纯初等数学方法,从而达到一题多解。本文总结了近年来高考数学卷中高频出现的高等数学知识点,分析了解题思路,通过高考真题演示了解题方法。

The mathematical finale of the college entrance examination takes part of the basic theorems and properties of higher mathematics as the proposition direction or background,as well as pure elementary mathematical methods,so as to achieve multiple solutions to one problem.This paper summarizes the knowledge points of higher mathematics which appear frequently in the mathematics papers of college entrance examination in recent years,analyzes the ideas of solving problems,and demonstrates the methods of solving problems through the demonstration of real questions in college entrance examination.