每年的高考复习中,总会见到一些考查抽象函数的题目,这些题目,往往综合了函数的周期性、奇偶性、对称性等,对于训练学生的抽象思维能力和综合解决问题的能力有很好的作用.但是,在用不同方法解决有些题目的过程中,却发现这些题目的命制有自相矛盾的地方,先看下例. In the review of college entrance examination each year, we will always meet with some questions about examining abstract functions. These topics tend to synthesize the periodicity, parity and symmetry of functions. They are very good for training students’ abilities of abstract thinking and comprehensive problem solving However, in the process of using different methods to solve some problems, we find paradoxical contradictions in the titles of these topics. Take the following example first.