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在高中数学学习中抽象函数是一个重要概念也是学生学习的难点,所谓抽象函数,是指没有给出具体的函数解析式,只给出一些特殊条件或特征的函数。解决这类问题,需要我们由条件去判断或推出该函数的性质(单调性,奇偶性,周期性),从而达到解题的目的。然而,由于这类问题本身的抽象性和其性质的隐蔽性,学生在解决这类问题时,往往感到无从下手,正确率很低。笔者就这类问题中常见题型谈谈自己的看法。
Abstract function in high school mathematics learning is an important concept and also a difficult point for students to learn. The abstract function refers to a function that gives no specific function expression and gives only some special conditions or characteristics. To solve such problems, we need to judge by the conditions or to introduce the nature of the function (monotonicity, parity, periodic), so as to achieve the purpose of solving problems. However, due to the abstraction of such problems and the nature of their concealment, students often find it hard to deal with such problems with a low correct rate. The author on such common problems in the type of talk about their own views.