1. observation method: by observing the characteristics of numbers and figures in the topic, find out the law or relationship, so as to solve the problem.

2. Trial-and-error method: Try different methods and strategies, gradually verify and eliminate the wrong answer, and finally find the correct answer.

3. Reverse thinking method: Starting from the result of the problem, reverse thinking about the solution process of the problem and gradually deriving the answer.

4. Decomposition method: decompose complex problems into simpler and easier-to-solve small problems, and then merge the results after solving them one by one.

5. Induction: By observing some specific examples, we can sum up general rules or conclusions, and then apply them to other similar problems.

6. Reasoning method: Reasoning according to known conditions and logical relations, and drawing conclusions.

7. Comparison method: By comparing the size, number and order of different values or quantities, find out the differences or laws.

8. Chart method: use charts, tables and other tools to sort out and display the information in the problem to help understand and solve the problem.

9. Model method: abstract practical problems into mathematical models, and solve problems by establishing mathematical expressions such as equations and inequalities.

10. Association method: By associating existing knowledge and experience, we can find ideas and methods to solve problems.