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有关抽象函数的单调性,奇偶性,周期性问题,经常以客观题中的难题或解答题中的压轴题的“身份”出现在高考试卷中。由于抽象函数的概念抽象,性质隐而不显,技巧性强,因此,学生在做有关抽象函数的题目时,往往感觉无从下手。其实此类问题,一般都是高中阶段学习的几种基本初等函数的抽象,在审题时,只要善于从具体到抽象的和谐联想,是很容易入手解答的,下面以周期性为例给予说明。
Monotonicity, parity and periodicity of abstraction function often appear in the entrance exam papers with “identity ” in the questions or answers of objective questions. Due to the conceptual abstraction of abstract functions, the hidden nature of the function is not significant, and skillful, so when students do the topic of abstract functions, often feel unable to start. In fact, such questions are generally abstractions of several elementary elementary functions learned in senior high school. When examining questions, as long as they are adept at the harmonious association from concrete to abstract, it is easy to start with answers. The following is an example of periodicity.