(Could it be a circle? )

The "atom" of a geometric figure is a point, just like the basic particle in chemistry.

A: A point has no shape and is infinitely small.

2. Can integral be classified?

Just like quarks can be divided into some ...

A: It cannot be classified.

3. The line segment has a length, and the line segment is a bit composed, right? So, what's the length?

(Is it the sum of "line segments" between all the points that make up a line segment and the nearest neighbor? )

The length of the line is macroscopic and should be related to microscopic points. )

A: Strictly speaking, a line segment is not composed of points. It consists of infinitesimal line segments. Points are the two ends of a line segment.

When talking about the length of curve, sometimes you have to say something differentiable. What do you mean?

(Don't even have different curves that can be "macroscopically overlapped"? )

Answer: Differentiable means that it can be infinitely divided into infinitely small line segments.

Response:

1. Does this point have a shape?

A: A point has no shape and is infinitely small. -Why do they have these attributes?

The "point" mentioned here is an abstract concept, not a "point" with strokes.

2. Can integral be classified? Why?

A: It cannot be classified.

As above.

3. The line segment has a length, and the line segment is a bit composed, right? So, what's the length?

A: Strictly speaking, a line segment is not composed of points. It consists of infinitesimal line segments. Points are the two ends of a line segment. -Isn't the infinitesimal line segment made up of points?

Say it again: points are the two ends of a line segment. Infinitely small line segments also have endpoints. The length of a line segment is the distance between two endpoints.