The skill to solve the geometric fixed point problem is: 1. Think of the time after a second as a point and then solve it. 2, symmetry, if it is a quadratic function, we must pay attention to symmetry. 3, the relationship method: you can look at the picture, even if the picture is right, just list the necessary conditions into some relationships and list some equations. There will be no problem with moderate movement.

The so-called "moving point problem" refers to the open problem that there are one or more moving points in a graph moving on a straight line, ray or arc. This kind of test questions take moving point, line segment, angle change and graphic area as the basic conditions, and give one or more variables, which require determining the relationship between variables and other quantities, or making relevant geometric calculations and comprehensive answers when variables are fixed under certain conditions. Generally, it is necessary to classify and solve different situations according to the movement of points and the changing process of graphics.

The triangle, quadrilateral, function image and other graphics are studied from the perspective of transformation and motion change. The properties and changes of graphics are explored and discovered through the research methods of "symmetry and motion of moving points", and the concept of space and reasonable reasoning are infiltrated in the process of solving problems.

Observe the changes of graphics in the process of moving points, understand the situation of graphics in different positions, and do a good job in the calculation and reasoning process. Finding the unchangeable property in the process of change is the basic idea to solve the problem of "moving point" in mathematics, and it is also the core mathematical essence in dynamic geometry mathematics.