1. Establish coordinate system: express the geometric figures involved in the problem in a plane rectangular coordinate system.

2. Find the coordinates of special points: such as the intersection point, starting point and ending point of motion trajectory.

3. Solve the motion trajectory equation: the motion trajectory can be straight line, parabola, circle, ellipse, etc. It needs to be solved according to the problem.

4. Use conditions to solve problems: Usually, some restrictions are given in the title, such as the distance, speed and time between two points.

5. Use auxiliary lines: When solving problems, you can use auxiliary lines to help solve problems, such as establishing vertical lines and parallel lines.

6. Vector can be used for space fixed point problem: space fixed point problem needs vector knowledge.

The fixed point problem is a classical geometric problem in junior one mathematics. The fixed point problem refers to a point moving along a specific path in a plane rectangular coordinate system, and the coordinates or specific properties of the point at a certain moment are found.

In a word, to solve the moving point problem, we need to combine the knowledge of geometry, algebra and physics, use the right methods at the right time and cultivate flexible thinking.