指数函数作为基本函数,一直是近几年高考的重点和热点,也是新课标考查的重要方面。主要题型有:指数函数的图像和性质、幂值的比较大小、由指数函数复合而成的综合问题。本文通过一些例题的讲解,得到较系统的指数函数知识,以加深对指数函数的认识。一、指数函数的概念问题1:在定义中为什么规定a>0且a≠1?分析:若a=1,则y=1,它是一个常函数;若a=0,只有x>0有意义,且y=ax=0也是常函数,无研究的意义;若a<0,当分数指数幂 Exponential function as a basic function, has been the focus of the college entrance examination in recent years and hot spots, but also an important aspect of the new curriculum test. The main topics are: the image and the nature of the exponential function, the size of the exponential function, the complex problem of the exponential function. This article through some examples to explain, get more systematic exponential function knowledge, in order to deepen the understanding of exponential function. First, the concept of exponential function Question 1: Why in the definition of a> 0 and a ≠ 1 Analysis: If a = 1, then y = 1, it is a constant function; if a = 0, only x> 0 Meaning, and y = ax = 0 is also a constant function, no research significance; if a <0, when the exponential exponential