1. Mastering basic concepts and theorems: Make sure that you have a deep understanding and mastery of the mathematical knowledge you have learned, so that you can quickly find out the problem-solving ideas when solving the proof questions.
2. Cultivate good reading habits: read the topic carefully, understand the requirements and conditions of the topic, and ensure that you have a clear understanding of the problem.
3. Learn induction and reduction to absurdity: These two methods are commonly used logical reasoning methods in proving problems, and mastering them skillfully can help you find ideas for solving problems faster.
4. Do more exercises: Through a large number of exercises, you can be familiar with the ideas and methods of solving various proof questions and improve the efficiency of solving problems.
5. Learn to use known conditions: When solving proof problems, learn to use known conditions for reasoning to avoid repeated calculation and deduction.
6. Stay calm and patient: It takes a cool head and enough patience to solve the problem of proof. Don't give up easily when you encounter difficulties, try to think from another angle.
7. Summing up experience and lessons in time: In the process of solving problems, we should sum up our own experience and lessons in the process of solving problems in time, constantly adjust the problem-solving strategies, and improve the efficiency of solving problems.
8. Discuss and communicate with others: Discussing proof questions with classmates or teachers can help you find your own shortcomings, and can also be inspired by other people's ideas to improve the efficiency of problem solving.