The problem of moving point is a hot topic in the senior high school entrance examination in recent years. Judging from your poor dynamic problem in senior two, I think you lack skills in dynamic problem.

The so-called "moving point problem" refers to an open problem in which there are one or more moving points in a graph moving on a straight line, ray or arc. The key to solve this kind of problem is to seek quietness in movement and use relevant mathematical knowledge flexibly to solve the problem.

The key: seek quietness while moving.

Mathematical thought: classification thought function thought equation thought combination of number and shape thought transformation thought

Pay attention to the examination of the ability of geometric figure movement change

The triangle, quadrilateral, function image and other graphics are studied from the perspective of transformation and motion change. The properties and changes of graphics are explored and discovered through the research methods of "symmetry and motion of moving points", and the concept of space and reasonable reasoning are infiltrated in the process of solving problems. Choose basic geometric figures, let students experience the process of exploration, examine students' independent inquiry ability with ability, and promote the cultivation of students' problem-solving ability. To observe the changes of graphics in the process of moving points, it is necessary to know the situation of graphics in different positions in order to do a good job in the calculation and reasoning process. Finding the unchangeable property in the process of change is the basic idea to solve the problem of "moving point" in mathematics, and it is also the core mathematical essence in dynamic geometry mathematics.

After the second curriculum reform, the mathematical finale in the mathematics volume is gradually turning to the combination of numbers and shapes, dynamic geometry, hands-on operation, experimental exploration and other directions. These finale questions are diverse and innovative, aiming to examine students' ability to analyze and solve problems, including space concept, application consciousness and reasoning ability. From the perspective of mathematical thought, they are: (1) sports viewpoint; (2) the idea of equation; (3) the idea of combining numbers with shapes; (4) classification idea; (5) changing ideas, etc. By studying the final examination questions in each district over the years, we can find the hot spots and proposition trends of the mathematics examination questions in the senior high school entrance examination this year.

In addition, I would like to recommend the last math question of the 20 10 senior high school entrance examination in Qingdao, Shandong Province.

Only Baidu's formula can't be typed, so you can browse it yourself.

The moving point of this problem is typical and not difficult. It should suit you very well.