The maximum problem in junior high school mathematics is a common problem, which requires students to master certain problem-solving skills. Algebraic method is a common method to solve extreme value problems. For the general maximum problem, we can formulate the function or solve it with basic inequalities. For the maximum problem under certain conditions, the mean inequality can be used to solve it.

1, geometric method is also an effective method to solve the maximum problem.

Geometric method is also an effective method to solve the extreme value problem. By transforming the problem into geometric figures, we can intuitively understand the problem and find a solution to it. For example, to find the minimum distance from a point to the origin, we can express this point as a parametric equation and then solve it with a circular parametric equation.

2. Mathematical modeling is another method to solve the maximum problem.

Mathematical modeling method is another method to solve the extreme value problem. By establishing a mathematical model, we can accurately describe the problem and find a solution to it. For example, to find the maximum or minimum value of a binary linear equation, we can transform the equation into a quadratic function and then solve it with the vertex coordinate formula.

3. For some problems that change periodically.

For some problems with periodic changes, the parameter equation method can be used to solve the maximum value. By introducing parametric variables, the problem can be transformed into a parametric equation, and then the maximum value can be found through the analysis of parametric variables. For example, the maximum value of sine function can be solved by introducing parameter variables and then using the properties of trigonometric function.

4. Extreme value method is an effective method to solve extreme value problem.

Extreme value method is an effective method to solve extreme value problem. By finding the extreme point of the function in a certain interval, the maximum value can be found accurately. For example, to find the minimum value of quadratic function, we can find the point where the derivative of the function is 0, and then analyze the function value of this point to find the minimum value.