classify

1, one-dimensional one-time fixed point problem: that is, find the distance between given points, or find the coordinates of given points, or find the slope of given points.

2. One-dimensional quadratic fixed point problem: that is, find the distance between two given points, or find the tangent equation of two given points, or find the midpoint of two given points.

3. Multi-active point problem: that is, find the shortest distance between multiple given points, or find the center of gravity of multiple given points or find the average value of multiple given points.

Problem-solving skills

1, decomposition method: First, the given problem should be decomposed, and the complex problem should be decomposed into simple subproblems, which is easier to solve.

2. Combination method: A number of given points are combined together, and new features are summarized to make the problem easier to solve.

3. Equivalence method: Convert a problem into other equivalent problems to make it easier to solve.

Extended data:

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The moving point of junior one mathematics is: moving point, which is different from fixed point. The trajectory of the moving point may conform to some functional relationship, such as straight line, parabola, etc. , its trajectory should be continuous.

Simply put, it is a moving point relative to a fixed point. Motivation is a hot issue in the senior high school entrance examination in recent years. To solve this kind of problem, we need to use static braking, that is, to turn the dynamic problem into a static problem. The general method is to grasp the changing invariants, and to change with the unchanging, and sort out the changes of the two variables X and Y in the topic according to the meaning of the topic, and find out the relevant constants.

The biggest characteristics of the fixed point problem are strong comprehensiveness, large knowledge capacity, flexible solution and rich mathematical thinking methods. In addition to a good examination of candidates' mastery of knowledge, they can also comprehensively examine candidates' ability to analyze and solve problems.

The general fixed point problem is based on fixed point, line segment, variable angle and graphic area. Given one or more variables, it is necessary to determine the functions and other relationships between variables and other quantities. Or under certain conditions, the variables are fixed, and the relevant calculation and comprehensive solution are carried out. In order to solve this kind of problem correctly.

Students are required to solve different situations according to the movement of points and the changing process of graphics.