没有明确给出具体函数表达式的抽象函数题在高中数学教材中找不到单独章节,但它在培养考生思维能力、思维方法等方面却有着强大的生命力,因而在高考中倍受青睐,近几年不少高考试卷都有抽象函数解答题或客观题,重点考查考生的抽象能力、学习能力以及综合运用数学基本关系解决问题的能力.由于抽象函数考查全面,集函数的定义域、值域、单调性、奇偶性、周期性和图象于一身,也由于它的隐性表示,使得有些考生望而却步,实际上,只要掌握一定的求解策略,面纱便被揭开,问题也就柳暗花明了. Abstract function without concrete expressions of specific function can not find a separate chapter in the high school mathematics textbooks, but it has strong vitality in cultivating candidates’ thinking ability, thinking methods, and so on, so it is highly favored in the college entrance examination. In the past few years, many high test papers have abstract function answer questions or objective questions, focusing on examiners’ abstract abilities, learning abilities, and the ability to comprehensively use mathematical basic relationships to solve problems. Because of the comprehensiveness of abstract function tests, the domain and value range of set functions , monotony, parity, periodicity and image in one, but also because of its implicit expression, making some candidates discouraged, in fact, as long as a certain solution strategy, the veil will be opened, the problem will be clear.