高考数学试题常出现以二次函数为背景的推理问题。究其原因,一是二次函数自身有丰富的内涵,二是与二次方程、二次不等式有广泛的联系。这样,以二次函数为载体编拟的推理问题就有取之不尽的新颖背景,融入多种形式的抽象思维,渗透多方位的直觉和灵感,因而二次函数的推理问题就成了高考常考常新的问题。 Entrance math test often appear in the background of the quadratic function reasoning. The reason, one is the quadratic function itself has rich connotation, the second is with the quadratic equation, the second inequality is extensively linked. In this way, inference problems formulated with quadratic functions have inexhaustible and novel backgrounds, integrating various forms of abstract thinking and infiltrating various directions of intuition and inspiration, so that the problem of inference of quadratic functions becomes a college entrance examination Often test new problems.