函数y=f(x)在给定区间上有零点,这样的问题对学生来说不好解,为什么?从字面上看,大致有如下3个原因:(1)函数f(x)的类型不定,解析式中还可能含有参数;(2)区间给定,即是对零点的活动范围做了限制;(3)有零点,但没说有几个,涉及分类讨论.本文将以二次函数为载体,举例说明“函数在给定区间上有零点问题”的多种行之有效的解法,并对各种解法进行分析、比较和评价,以期帮助读者提高对此类问题的 The function y=f(x) has a zero in a given interval. This problem is not good for students. Why? There are roughly three reasons for this: (1) The type of function f(x) Indefinitely, the analytical formula may also contain parameters; (2) the interval is given, that is, the limit of the activity range of the zero point; (3) there is a zero point, but there are several that do not involve classification discussion. This article will be secondary The function is a vector, illustrating a variety of effective solutions to the “zero problem” function in a given interval, and analyzing, comparing, and evaluating various solutions in order to help readers improve on such problems.