1. Analyze the problem: read the topic carefully and understand the requirements and conditions of the problem. Break down the problem into smaller parts and find out the key information and unknowns.

2. Drawing assistance: For geometric problems, drawing graphics can help you better understand and solve problems. Through drawing, we can intuitively see the relationship and law in the problem.

3. Use formulas and theorems: master basic mathematical formulas and theorems and learn to use them flexibly. In the process of solving problems, choose the appropriate formula or theorem to calculate according to the known conditions.

4. Reverse thinking: Sometimes, it is easier to find a solution from the reverse thinking of the problem. Try to deduce the problems that need to be solved step by step from the results.

5. Enumeration: For some combination or arrangement problems, you can find the answer by enumerating all possible situations. This method is suitable for small-scale problems and easy to enumerate.

6. Logical reasoning: use logical thinking for reasoning and inference. By observing the laws and relations in the problem, we make reasonable inferences and assumptions and draw conclusions.

7. Heuristic: For some problems, you can try different values to see if the results meet the requirements of the topic. Through trial and error, we can find a qualified solution.

8. Discussion in different situations: For some complicated problems, we can analyze and solve them in different situations. By considering each situation separately, the solution to the problem was found.

9. Establish equations: For some unknown problems, we can solve them by establishing equations. According to the known conditions, the equations are listed and solved to obtain unknown values.

10. Practice more: Mathematics is a subject that needs constant practice. By doing more similar problems, you can improve your ability and proficiency in solving problems.