一、教学设计背景微积分是高等数学的主要分支,微积分的方法是数学中一个强有力的工具,在众多领域和现实生活中有着广泛的应用;对辩证思维、崇尚数学的理性精神的培养具有独到的教育意义.因此,在高中数学课程中设置微积分有其独特的价值和作用.一般地,微积分学习的起点是极限,即数列→数列的极限→函数的极限→导数→导数的应用→定积分.这种概念建立方式具有严密的逻辑性和系统性,但是也产生了一些问题:就高中学生的认 First, the background of teaching design Calculus is the main branch of advanced mathematics, calculus method is a powerful tool in mathematics, in many fields and in real life has a wide range of applications; dialectical thinking, advocating the development of the rational spirit of mathematics Therefore, it is of unique value and function to set up calculus in high school mathematics curriculum.Generally, the starting point of calculus learning is the limit, that is, the limit of series → series → the limit of function → the derivative → the derivative Application → definite integral.This kind of concept establishment has the strict logic and the systematic nature, but also has the certain question: On the high school student’s recognition