函数是描述千变万化的现实世界的数量关系最基本、最重要的数学模型,是中学数学的中心概念之一.由于函数概念的含义比较抽象、深刻,一直是学生理解最困难的概念之一,在解题时,经常也因此发生错误.本文对这些错误作初步归类分析,希望能让学生对函数概念的认识更加深刻,对教师的教学有所帮助. Function is the most basic and important mathematics model to describe the ever-changing quantity relation in the real world, and it is one of the central concepts in middle school mathematics.As the concept of function is abstract and profound, it has been one of the most difficult concepts for students to understand When problems are solved, mistakes often occur.This paper makes a preliminary analysis of these mistakes, hoping to make students understand the concept of functions more deeply and help teachers’ teaching.