在高中数学中,我们经常碰到下列两类函数:f(x)=ax+xb与f(x)=ax-xb(a,b∈R+),由于这两类函数在历年高考中经常出现,因此广大师生对它们的性质已经有一个初步的认识(如图1、2).但是绝大多数人认为这两个函数除了定义域和奇偶性外,几乎没有其他相似之处,因此是两个没有什么联系的 In high school mathematics, we often encounter the following two types of functions: f (x) = ax + xb and f (x) = ax-xb (a, b ∈ R +), because these two types of functions often appear in the college entrance examination over the years Therefore, the majority of teachers and students already have a preliminary understanding of their nature (Figure 1, 2). However, most people think that these two functions have almost no similarities besides domain and parity, so they are There is no connection between the two