Answer: Using a large number of points in describing the motion of an object can produce smooth and continuous motion.
Answer analysis:
This question mainly examines the understanding of the way to describe the motion of an object, especially how to simulate continuous motion through the mathematical limit idea.
In physics, in order to describe the motion of an object, we often use some simplified models. When the motion trajectory of an object is very complex or difficult to describe directly, we can consider decomposing it into a series of simple, easy-to-describe motion fragments. These motion fragments can be represented by a series of points, each of which corresponds to the position of the object at a certain moment.
However, it is impossible to fully and accurately describe a continuous motion using only a limited number of points. In order to get closer to the real continuous motion, we can consider using a "large number" of points to approximate. The "large number" here is actually a relative concept, which means that the number of points is large enough that when these points change continuously at a fast enough speed, the motion trajectory they present will visually approach a smooth, continuous curve.
This idea of approximating continuous motion through a large number of points is called the "limit" idea in mathematics. It tells us that when a certain quantity (here, the number of points) tends to infinity, the totality composed of these quantities (here, the motion trajectory composed of points) will approach a specific limit value (here, a smooth and continuous motion trajectory).
Therefore, when describing the motion of an object, we can use a large number of points to produce a smooth and continuous motion effect. This description method is not only rigorous in mathematics, but also has broad significance in practical applications in physics and engineering.
In summary, the answer to this question is: in describing the motion of an object.