1, understand the meaning of the question:

First of all, we should make clear the meaning of the topic, and make clear the motion mode, trajectory and goal of the moving point.

2, establish a coordinate system:

According to the conditions of the topic, an appropriate coordinate system is established to represent the position and motion of the moving point. Analyze the geometric and quantitative relationships between moving points, such as distance, speed, time, etc.

4, using mathematical formula:

According to the conditions given by the topic, use mathematical formulas (such as travel problem formula, trigonometric function, etc. ) to calculate the coordinates, distance and speed of the moving point.

5, classified discussion:

The fixed point problems are classified and discussed, and the answers in different situations are solved respectively. Pay attention to the examination of questions to avoid omissions.

6. Combination of numbers and shapes:

Combining the number axis with the actual problem and analyzing the problem through the combination of number and shape is helpful to better understand and solve the problem.

7, change the concept:

In the process of solving problems, complex problems are transformed into simple problems, or known conditions are transformed into expected problems, so as to achieve the purpose of solving problems.

8, logical thinking:

The fixed point problem involves the changes of many variables, so we need to use logical thinking to analyze the problem and find ways to solve it.

9. Check and verify:

In the process of solving, we should constantly check the rationality of the answer and verify the correctness of the answer through reverse thinking.

The moving point problem is a challenging mathematical problem, which appears in junior and senior high school mathematics competitions and various exams. It examines students' comprehensive application ability of geometry, algebra and trigonometry from a dynamic perspective. The moving point problem usually involves the motion of one or more moving points on a certain trajectory, which requires solving the geometric or quantitative relationship of moving points. The key to solving the problem of moving point lies in grasping the relationship between motion and static, and flexibly responding to the conditions given in the topic.

Moving point problem can not only train students' mathematical thinking ability, but also cultivate students' logical reasoning and problem-solving ability. Strategies such as changing ideas are also sharp tools to solve the moving point problem. Students can apply what they have learned to practical problems and improve their mathematics literacy. In the process of solving moving point problems, students should pay attention to consolidating basic knowledge, cultivating observation ability, analysis ability and innovation ability, so as to better cope with various mathematical challenges.