Mathematical inequality formula in senior high school: a+b≥2√(ab). A is greater than 0, and b is greater than 0. If and only if a=b, the equal sign holds. When using the basic inequality to find the maximum value, we should flexibly deform the formula according to the characteristics, complement the product and sum it up in the form of a constant, and then use the basic inequality.

There are usually two methods to solve the condition maximum:

1, elimination method is to establish the functional relationship between two quantities according to conditions, and then substitute it into algebraic formula to solve the maximum value of the function;

2. Flexible deformation conditions: by replacing the constant "1", we construct a formula in which the sum or product is a constant, and then use basic inequality to solve the maximum value.