由课本定义可知:若函数f(x)在(a,b)上不间断,且f(a)f(b)<0,那么f(x)在(a,b)上存在零点.但这个结论只能判断有零点,不能判断什么时候有唯一零点.因此,我们需要确定在区间(a,b)上什么时候存在唯一零点,再利用二分法求出这个零点.那么,在什么条件下f(x)在(a,b)上只有一个零点?(1)当f(x)为区间(a,b)上的单调函数 From the textbook definition, f (x) has zero on (a, b) if f (x) is unbroken on (a, b) and f The conclusion can only be judged to have a zero point and can not tell when there is a unique zero point. Therefore, we need to determine when there is a unique zero point in the interval (a, b) and then use the dichotomy to find the zero point. Then, under what conditions (x) There is only one zero on (a, b). (1) When f (x) is a monotone function on the interval (a, b)