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The moving point problem on the number axis must be learned with full marks.
The moving point problem on the number axis must be learned with full marks, as follows

Question1:the distance between a and b is 200 meters. It takes Xiaoming 3 minutes to walk from A to B. What is Xiaoming's average speed per second? Answer 1: Direct use: speed = distance/solution time. 200÷ 180= 10/9 (m/s).

Method 2: Solve by equation. Let the speed be x m/s and multiply the speed by distance = time to get: 200= 180x, and the solution is x= 10/9.

Question 2: As the picture shows, there are two points A and B on the number axis. The number represented by point A is 0, and the number represented by point B is 200. An electronic ant P starts from A, moves from A to B at a speed of 1 unit per second, and stops at point B ... Let the movement time be t.

The distance that the electronic ant P moves is expressed by an algebraic expression containing t; The number represented by the electronic ant P is represented by an algebraic expression containing t; The distance from the electronic ant P to the number B is expressed by an algebraic expression containing T. How long does the electronic ant move? Point P is the bisector of the line segment AB.

Answer: according to distance = speed × time, there are: AP = t;; AP=t, so the number represented by point P is t; The number represented by point B is 200, the number represented by point P is T, and P is to the left of B, so Pb = 200-T. ..

P is the bisector of AB, and there are two situations:

AP=2PB, that is, t=2×(200-t), the solution is t = 400/3seconds, 2AP=PB, that is, 2t=200-t, and the solution is t = 400/3seconds.

Question 3: There are two points A and B on the number axis. The number represented by point A is A, the number represented by point B is B, and the distance between number A and number B is 200 unit lengths. An electronic ant P starts from A, moves from A to B at a speed of 1 unit per second, stops at point B, and lets the movement time be t..

Use an algebraic expression containing a to represent the number b; The number represented by the electronic ant P is represented by an algebraic expression containing A and T, and the distance from the electronic ant P to the number B is represented by an algebraic expression containing T..

Answer: From the formula of the distance between two points on the number axis, we can get: b-a=200, and the order is: B = 200+A; From distance = speed × time, AP equals t, that is, the distance between a and p is t; Same as (1), the number represented by point p is a+t.

Because the number B is greater than or equal to the number P, the distance formula between two points on the number axis is: BP = B-(A+T) = A+200-(A+T) = 200-T. As long as the length of AB is fixed, the distance from P to B has nothing to do with the numbers represented by A and B. ..