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在高三反函数部分的复习中,针对学生存在的一些问题,引发了本人的几点思考:在复习教学中怎样揭示知识的本质,以及前后知识间的联系,提高复习效率,夯实基础,本文就反函数部分的复习,谈一些做法。 一、反函数存在性的图象反映 我们知道,函数y=f(x),x∈A,如果对其值域B中的任何一个函数值yo,在定义域A中都有唯一确定的值与之对应,那么该函数的反函数存在。这一“存在”条件反映到函数图象上的情况怎样?让我们观察以下四个图象。
In the review of the third part of the senior high school, aiming at some problems existing in the students, I raised some thoughts: how to uncover the essence of the knowledge, the connection between the knowledge before and after the review, improve the efficiency of the review and consolidate the foundation Inverse function part of the review, talk about some practices. First, the existence of the inverse function of the image reflects that we know that the function y = f (x), x∈A, if any of its value range B in a function yo, domain A has a uniquely determined value Correspondingly, the inverse of this function exists. What is the condition of this “presence” reflected in the function image? Let us observe the following four images.