Turn dynamic into static, and discuss by classification. The key to solving the problem of moving point is to grasp the moving point. It is necessary to turn the moving point into a static one, and find the breakpoint (side length, moving point speed, angle and the equivalence relation of a given graph, etc.). ), establish the required equivalent algebra, break through the problem, find out the unknown and so on.
The fixed point problem is the main idea. For example, when moving at a certain speed, the position of the point can be indicated after setting the time; Another example is the moving point of a function. Try to set a variable, where y is represented by x as much as possible. You can use this point as the moving point to calculate.
Methods to solve the moving point problem;
1, find the reference coordinates of the moving point, that is, the starting coordinates of the movement.
2. Calculate the coordinates of the moving point.
Move to the right: moved coordinate = reference coordinate+moving distance.
Move to the left: moved coordinate = reference coordinate-moving distance.
3. Indicates the length of the line segment: the number indicated at the right end of the line segment-the number indicated at the left end of the line segment.
4. Column equations: list equations according to the relationship of motion or the conditions in the topic. The unknowns are usually motion time t, velocity v or the sought coordinates.
5. solve.