近年来,出现了有关根据原函数判断反函数的图像与求反函数值的高考题。若先求出反函数的解析式,然后再来判断和求值,则相当麻烦且容易出现错误。当我们充分理解了反函数的定义,弄清了原函数与反函数之间的联系,不必求出反函数的解析式,就能够轻而易举地解决这些问题。根据反函数的定义可知,原函数与反函数之间具有下面的两个性质(证明略)。 In recent years, there has been a question about judging the inverted function image and inverse function value according to the original function. If you first find the analytical formula of the inverse function, and then come to judgment and evaluation, it is quite cumbersome and prone to errors. When we fully understand the definition of the inverse function and clarify the connection between the original function and the inverse function, we can solve these problems easily without having to find the analytical formula of the inverse function. According to the definition of the inverse function, the following two properties (the proof is omitted) exist between the original function and the inverse function.