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构造法是一种富有创造性的数学思想方法.函数在整个高中数学中占主导地位,教师在数学教学过程中如何利用函数不断进行数学思想方法的渗透,培养学生创新能力,是实施素质教育的重要措施之一.本文结合具体实例浅谈构造函数法解题.旨在抛砖引玉、激活学生的思维,培养他们分析问题、解决问题的能力.一、利用简单的或熟悉的函数模型1.抽象函数具体化例1已知定义在R上的函数f(x)满足
Constructive method is a kind of creative method of mathematical thinking, which takes the dominant position in the whole high school mathematics. How teachers use mathematics to penetrate the mathematical thinking method in mathematics teaching process and cultivate students’ innovative ability are the important points of carrying out quality education One of the measures.This article on the specific examples of constructor method to solve the problem.To initiate the students, to stimulate students’ thinking and develop their ability to analyze and solve problems.First, the use of simple or familiar function model 1 abstract function specific Example 1 It is known that the function f (x) defined on R satisfies