1, graphic method: using geometric figures or function images to solve mathematical problems. For example, some algebraic or geometric problems can be solved intuitively by drawing line graphs, circle graphs or function images to express quantitative relations or changing trends.

2. Chart method: use various charts (such as histogram, line chart, pie chart, etc. ) to express the relationship between data. This method is often used to solve problems such as statistical analysis and functional relationship. For example, you can draw a line chart to represent the relationship between two variables, so as to find out their laws and trends.

3. Symbol method: use various symbols (such as+,-,×, ⊙, etc.). ) to express mathematical operations and relationships. This method is often used to solve algebraic and arithmetic problems. For example, equations or inequalities can be represented by symbols, thus clearly expressing the relationship between quantities.

4. Model method: establish a mathematical model to transform practical problems into mathematical problems. For example, establish equations or inequalities to represent the relationship between quantities. This method is often used to solve practical problems, such as problems in physics, engineering and other fields. By establishing a model, we can establish a connection between practical problems and mathematical problems, so as to find a solution to the problem.

The mathematical solution of this problem is as follows:

1. Algebra method: solving mathematical problems through algebraic operation and equation solving. For example, when solving algebraic equations, inequalities, functions and other problems, we can use algebraic methods to find the answers to the questions. Geometric method: solving mathematical problems through geometric knowledge and graphics. For example, when solving problems such as geometric proof, drawing and measurement, geometric methods can be used to find the answers to the questions.

2. Probability and statistics method: solving mathematical problems through the knowledge of probability and statistics. For example, when solving problems such as probability calculation, statistical inference and risk assessment, we can use probability statistics to find the answer to the question.

3. Logical reasoning: solving mathematical problems through the knowledge of logical reasoning. For example, when solving logical reasoning questions, proving questions and reasoning questions, we can use logical reasoning to find the answer to the question.

4. Mathematical modeling method: solving practical problems by establishing mathematical models. For example, when solving optimization problems, forecasting problems and decision-making problems, mathematical modeling can be used to find the answers to the problems.