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根据已知条件求函数的解析式,是高中数学《函数》一章中常见的问题,这类问题的形式较灵活,解答的思路也较广泛,对各种能力都提出了较高的要求,给学生解答带来困难.因此,在复习中,引导学生分析各种题型,了解其基本解法是有必要的,笔者经过归纳整理,总结出求函数解析式的五种方法技巧,以期培养学生灵活多样的思维方法,提高解决问题的能力,以下举例说明.
According to the known conditions, the analytical formula of the function is a common problem in the chapter of “High School Mathematical Functions”. The form of such problems is more flexible, and the solution to the problem is broader. It requires higher requirements for various capabilities. It is difficult to answer the questions for students. Therefore, in the review, it is necessary to guide students to analyze various types of questions and understand their basic solutions. After summarizing and summarizing, the author summarizes the five methods and techniques for solving analytical functions, in order to cultivate students. Flexible and diverse ways of thinking to improve the ability to solve problems are illustrated below.