函数是高中数学中一个很重要的学习内容,高考时关于函数的各类题型占有很高的分值。历年高考题型中关于函数的试题的难度属于中档偏难,考查了学生对函数的单调性、最值、奇偶性等性质的掌握情况。而在解函数题的过程中,逐渐考查函数零点的存在性或者函数零点的个数的问题。下面结合具体的实例,从三个方面对函数零点问题进行剖析。1判断函数零点的存在性的常用方法(1)若函数f在区间[a,b]上连续,f(a)· Function is a high school mathematics in a very important learning content, college entrance examination on the various types of questions occupy a high score. Over the years, the difficulty of exam questions on the function of college entrance examination questions belong to the mid-range difficulty, examines the student monotonicity of the function, the most value, parity and other nature of the mastery. In the process of solving function problems, we gradually examine the existence of zero points or the number of zero functions. The following combination of specific examples, from three aspects of the zero function analysis. A common method of judging the existence of zero point function (1) If the function f is continuous in the interval [a, b], f (a) ·