The difference between the zero theorem and the intermediate theorem is as follows:

The zero theorem is defined as follows:

1, the zero theorem refers to the existence and number of zeros of a polynomial function in the definition domain. It can be expressed as follows: There is a polynomial function f(x). If the signs of f(a) and f(b) are different in the domain [a, b], then at least one zero of f(x) is in the interval [a, b].

2. If the function y= f(x) is like a continuous curve f (a) f (b) in the interval [a, b].

The intermediate value theorem is defined as follows:

Intermediate value theorem, also known as intermediate value theorem, is one of the important properties of continuous functions on closed intervals. It describes the phenomenon that a continuous function takes the maximum and minimum values in a closed interval. Specifically, if the domain is a continuous function f of [a, b], then f at least gets all the values between f(a) and f(b) on [a, b].

The difference between the zero theorem and the intermediate theorem is as follows:

1, the zero theorem is a special case of the intermediate value theorem.

2. The intermediate value theorem, also known as the intermediate value theorem, is one of the properties of continuous functions on closed intervals and one of the important properties of continuous functions on closed intervals.

3. In mathematical analysis, the intermediate value theorem shows that if the domain is a continuous function f of [a, b], then at a certain point in the interval, it can take any value between f(a) and f(b), that is, the intermediate value theorem is that the function value in an interval of continuous function must be between the maximum value and the minimum value.

4. The meaning of the zero theorem is similar to that of the intermediate value theorem. The zero theorem is the intersection with the X axis, and the median theorem is the intersection of two numbers, which is essentially about functional continuity. As long as it is a continuous function, the problem is clear. Continuity lies in the corresponding relationship between x value and y value.