High school mathematics is an important subject for students to study in high school, which contains many important theorems and formulas. The following are some theorems commonly used in high school mathematics:

Function parity theorem: if the function f(x) satisfies f(-x)=f(x), it is called an even function; If the function f(x) satisfies f(-x)=-f(x), then f(x) is called odd function.

Fundamental theorem of calculus: If the function f(x) is continuous in the interval [a, b] and derivable in the interval (a, b), then there is at least one point C in the interval (a, b) that makes f' (c) = (f (b)-f (a)/(b-a).

Rolle Theorem: If the function f(x) is continuous in the closed interval [a, b] and there is a point c in the open interval (a, b) that makes f'(c)=0, then there is at least one point ξ in the open interval (a, b) that makes f'(ξ)=0.

Lagrange mean value theorem: If the function f(x) is continuous in the closed interval [a, b] and derivable in the open interval [a, b], then there is at least one point c in the open interval (a, b) that makes f' (c) = (f (b)-f (a)/(b-a).

Bernoulli Theorem: If each term of a sequence is not greater than the following terms, and the sum of all these terms is bounded, then the sequence converges.

Cauchy Theorem: If a sequence converges, then for any positive integer n, the sum of the first n terms of the sequence also converges, and the limit of the sum of the first n terms of the sequence is equal to the limit of the sequence.

Pinch Theorem: If a sequence is pinched by two convergent sequences, then the sequence also converges.

These theorems are the core content of high school mathematics, and it is very important to understand and master these theorems for improving students' mathematical ability and grades.