1. Establishing an appropriate coordinate system: When solving the moving point problem, establishing an appropriate coordinate system is the key. Generally speaking, according to the characteristics of the topic, you can choose rectangular coordinate system or polar coordinate system.
When choosing rectangular coordinate system, it is necessary to determine the origin, unit length and positive direction; When choosing the polar coordinate system, it is necessary to determine the pole, the polar axis and the polar diameter. 2. By establishing an appropriate coordinate system, the problem of moving point can be transformed into the problem of midpoint in the coordinate system, thus simplifying the process of solving problems.
2. Apply the idea of combining numbers and shapes: The idea of combining numbers and shapes is a common method to solve the moving point problem. Combining quantitative relations with geometric figures can concretize and visualize abstract problems, so as to better understand the meaning of problems and solve them.
When solving a problem, we can use geometric figures such as line segments and areas in the coordinate system to express the quantitative relationship in the problem, and then use the properties and laws of geometric figures to solve the problem.
3. Use the function thought: The function thought is also a common method to solve the moving point problem. The moving point problem is transformed into a function problem, and the problem can be solved by using the properties and images of the function. When solving a problem, we can express the relationship between variables in the topic with a resolution function, and then use the image and properties of the function to solve the problem.
The solution of mathematical moving point problem;
1, direct method: this method mainly lists equations or equations directly to solve problems according to the conditions and requirements of the topic. When solving a problem, we need to pay attention to the relationship between various conditions and choose the appropriate method to solve it according to the requirements of the topic.
2. Algebraic method: Algebraic method is a commonly used method to solve problems, which mainly transforms problems into algebraic expressions through a series of equations or equations. Attention should be paid to the range of variables and the solution of equations when solving problems.
3. Geometric method: Geometric method is an important method to solve the moving point problem. It mainly transforms the moving point problem into a geometric figure problem through drawing and observation, and uses the properties and laws of geometric figures to solve the problem. Attention should be paid to the drawing of geometric figures and the calculation of geometric quantities when solving problems.
4. Analytical method: The analytical method is to transform the moving point problem into the midpoint problem in the coordinate system by establishing the coordinate system, and then solve it through a series of equations or equations. When solving problems, we should pay attention to the method of establishing coordinate system and the range of variables.