1, understand the meaning of the topic: first of all, you need to read the topic carefully and understand the meaning and requirements of the topic. For the moving point problem, it is necessary to clarify the trajectory and law of the moving point and its relationship with other points. Establish a mathematical model: according to the description of the topic, establish a corresponding mathematical model. Usually you need to use the knowledge of plane geometry and linear functions.
2. In the process of modeling, we should pay attention to the establishment of units and coordinate systems. Application formula: according to the established mathematical model, use the corresponding formula to calculate. In the calculation process, we need to pay attention to the use conditions of formulas and unit conversion.
3. Drawing analysis: In the process of solving problems, drawing can help to understand the meaning of the questions and the calculation process. By drawing, we can intuitively observe the trajectory of the moving point and its relationship with other points. Summary: After solving the problem, we should summarize the topic and summarize the ideas and skills of solving the problem, so as to solve similar problems quickly in the future.
Moving point related knowledge
1. A moving point refers to a point in a geometric figure that can move in a certain direction. In plane geometry, a moving point usually refers to a point that can move freely on a straight line; In space geometry, a moving point can move freely on a plane or surface. The related knowledge of the moving point mainly includes: the trajectory of the moving point: the moving point will form a trajectory in the process of moving.
2. This trajectory can be a straight line, a curve, a parabola, etc. For example, in a plane rectangular coordinate system, the trajectory of a moving point on a circle with radius r centered on the origin is a circle with radius r. The speed and acceleration of the moving point: the speed and acceleration of the moving point are constantly changing during the movement. Velocity is the distance the moving point moves in unit time, and acceleration is the rate of change of velocity.
3. Limit position of moving point: When the moving point moves to a certain position, it may reach a certain limit state. For example, in a plane rectangular coordinate system, a moving point on a circle with the origin as the center and the radius r reaches its limit position when it moves to the edge of the circle.
4. Relative position of moving points: The relative position relationship between two or more moving points is also one of the related knowledge of moving points. For example, the distance and angle between two moving points. Dynamic problems of moving points: The knowledge of moving points is often used to solve some dynamic problems, such as the motion of objects and the current in circuits.