函数y=x+a/x(a≠0)是图象是双曲线,这是一个众所周知的结论,并且有多篇文献作过系统研究,侧重点各有不同.本文将从定义出发进行研究,以自然的方式展开探究过程,揭示其性质.为说明问题,从研究y=1/x的图象开始. It is a well-known conclusion that the function y = x + a / x (a ≠ 0) is a well-known conclusion and there are many literatures that have been studied systematically and focused on different points. , To explore the nature of the process of inquiry to reveal its nature To illustrate the problem, starting from the study of the image y = 1 / x.