1, the straight-line pursuit problem is the simplest pursuit problem. Two objects move in the same straight line, one in front and the other behind, and the latter catches up with the former at a faster speed. When two objects touch, the object behind will catch up with the object in front. This pursuit problem can be solved by calculating the speed difference and distance difference between two objects.

2. The problem of rear-end collision on the circular runway refers to two objects moving on the circular runway, one running in front and the other chasing behind. Because of the particularity of circular runway, the speed difference between two objects will cause the distance between them to change constantly. It will take some time for the object behind to catch up with the object in front, and the object in front will continue to accelerate to prevent being caught up by the object behind.

3. The problem of catching up with relative speed means that when two objects move relatively, the speed of one object is relatively high relative to the other, so it will take some time for the latter object to catch up with the former object. This pursuit problem can be solved by calculating the relative speed and distance difference between two objects.

The benefits of learning mathematics

1, improve logical thinking ability: Mathematics is a subject that needs logical reasoning, and learning mathematics is helpful to improve logical thinking ability. This ability can be applied to all aspects of daily life, including work, study and interpersonal relationships. Enhance spatial imagination: The knowledge of geometry and graphics in mathematics is helpful to enhance spatial imagination.

2. Cultivate the ability to solve problems: Mathematical problems usually require the ability to innovate and solve problems. Learning mathematics helps to cultivate this ability, so as to better solve various problems in daily life. Enhance memory: By learning mathematics, people can better organize and enhance their memory. Formulas and concepts in mathematics need to be memorized and understood, which is helpful to improve the memory ability.

3. Improve the calculation ability: The study of mathematics helps to improve the calculation ability, which is very important for daily life and work. For example, in the fields of business, finance and science, accurate computing power is needed. The knowledge of probability and statistics in mathematics is helpful to improve the decision-making ability. In the face of uncertainty, learning mathematics can help people analyze better and make wise decisions.