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. ..