一、问题提出《中学数学教学参考》2005年第1—2合刊第54页有这样一道选择题:已知a>1,则函数f(x)=logax的图象与其反函数y=f-1(x)的图象()A.不可能有公共点B.不可能只有一个公共点C.最多只有一个公共点D.最多只有两个公共点本人把这道题给某市示范学校高二年级的学生做,70%的学生不假思索地选择了A答案,我也曾把这道题在数学教育硕士班 First, the question put forward the “secondary school mathematics teaching reference” 2005-2-2 combined issue 54 there is a multiple-choice questions: known a> 1, then the function f (x) = logax image and its inverse function y = f -1 (x) of the image () A. Can not have a common point B. Impossible to have only one common point C. There is only one common point D. Up to only two common points I put this question to a city model school High sophomore students to do, 70% of the students to choose the answer A without hesitation, I also had this problem in mathematics education master’s class