High school mathematics: What are the types of equations for finding the trajectory of moving points and what are the commonly used methods?

1 direct method: directly list the equations according to the suitable conditions of the moving points on the orbit.

2 Definition method: If you can analyze what the trajectory is, you can list the curve equations and substitute them for solution.

3 substitution method: If the curve of point P is known, and the coordinates between point P and point Q can be

By establishing some relations, we can use the equation of p to solve q.

4 parameter method: If it is difficult to find the coordinate relationship of dispatching points, a parameter sequence can be introduced.

X=f(t), y=f(t) and then cancel the parameter.

The general steps are as follows: 1 Establish the coordinate system and set the dispatching point.

2 find the connection between the moving point and the known one.

three

Substituting the coordinates of the moving point and the known point simplifies the ballistic equation.