函数是中学数学的重要内容。它既是贯穿整个中学数学学习的一条主线,又是进一步学习高等数学所必备的基础知识,也是历年高考数学的重点考查内容。抽象函数能够有效地考查同学们分析问题、解决问题能力及逻辑思维能力,故在各类试题中屡见不鲜。抽象函数往往因无具体的解析表达式成为函数教学中的重点和难点内容,并使同学们在解决有关问题时深感茫然和困难。 Function is an important part of high school mathematics. It is not only a main line that runs through the entire middle school mathematics study, but also the basic knowledge necessary for further study of advanced mathematics. It is also the key examination content of the mathematics of college entrance examination over the years. Abstract function can effectively check the students analyze the problem, problem solving ability and logical thinking ability, it is not uncommon in all kinds of questions. Abstraction functions often become the key and difficult content in function teaching because there is no specific analytical expression and make students feel dazed and difficult when solving the relevant problems.