函数零点存在定理是指:如果函数y=f(x)在区间[a,b]上的图象是连续不断的一条曲线,并且有f(a)f(b)<0,那么,函数y=f(x)在区间(a,b)内有零点,即存在c∈(a,b),使得f(c)=0,这个c也就是方程f(x)=0的根.作为新课程新增内容,突出了函数与方程、数与形之间的多种联系转化,从而成为考试命题的热点.但在使用该定理中却却存在不少问题,本文对此结合典型题例进行剖析,以期促 The function zero existence theorem means that if the image of the function y = f (x) in the interval [a, b] is a continuous curve with f (a) f (b) <0, then the function y = f (x) There is a zero point in the interval (a, b) where c ∈ (a, b) exists such that f (c) = 0 and this is also the root of the equation f The newly added content of the course highlights the various conversions between function and equation, number and form, and thus becomes the hot topic of examination proposition.However, there are still many problems in using this theorem, Analysis, with a view to promote