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Points a and B are the corresponding points of numbers - 3 and - 12 on the number axis respectively. If line AB moves to the right along the number axis to a ′ B ′ and the number corresponding to the midpoint of line a ′ B ′ is 3, then the number corresponding to point a ′ is______ The distance that point a moves is______ ．
According to the meaning of the question, the midpoint of line AB is 12 × (- 3-12) = - 74, and the corresponding number of midpoint of line a 'B' is 3, the moving distance of midpoint is 3 - (- 74) = 194, the moving distance of a 'is 194, and the value of a' is - 3 + 194 = 74, so the answer is: 74194
A. The numbers represented by point B are - 3 and - 1 / 2 respectively. On the number axis, the line segment AB moves to the right along the number axis to a'B ', and the number represented by the midpoint of line segment a'B' is
3, then the number corresponding to a 'is_________ The distance a moves is_________ .
I don't understand
A'-B'=-3-(-1/2)=-5/2
A'+B'=3*2=6
A'=7/4 B'=17/4
So the number of a 'is 7 / 4
A moves a distance of 19 / 4
As shown in the figure, there is a line segment AB that can be moved on the number axis. If the line segment AB is moved to the right so that point a moves to point B, then the number corresponding to point B is 18; if the line segment AB is moved to the left so that point B moves to point a, then the number corresponding to point a is 6. If the unit length of the number axis is 1 cm, find: (1) how many cm is the length of line segment AB? (2) What are the corresponding numbers of the initial points a and B?
(1) ∵ from the meaning of the title, we can see that three times the length of the line segment is the line segment from point 6 to point 18, ∵ (18-6) △ 3 = 4, ∵ the length of line AB is 4cm, ∵ 6 + 4 = 10, 18-4 = 14, ∵ at first, the number of point a is 10, and the number of point B is 14
On the number axis, points a and B represent - 13 and 15 respectively, then the number represented by the midpoint of line AB is______ ．
Let the number represented by the midpoint of line AB be x, ∵ points a and B denote - 13 and 15 respectively, ∵ x = − 13 + 152 = - 115
On the number axis, the distance between the point representing the number a and the origin is 5 after moving 3 units. What are all the possible values of the number a?
Plus or minus 2
Plus or minus 8
Plus or minus 4
Plus or minus 6
On the number axis, the number represented by a point 3 away from the point representing - 2 is ()
-5 or 1
First: (- 2) - 3 = - 5
Second: (- 2) + 3 = 1
So the answer is: - 5 or 1
A moving point m moves 2 seconds to the right from the position on the number axis which is 4 units of length away
Return immediately after reaching point a, and move for 7 seconds to reach point B. if the speed of moving point m is 2.5 unit length per second, calculate the number of point B on the number axis
-8.5
Move right for two seconds 2.5 * 2 = 5
Move to the left for 7 seconds to reach point B, and the moving distance is 2.5 * 7 = 17.5
So 4 + 5-17.5 = - 8.5
As shown in the figure, it is known that the number represented by point a on the number axis is 6, B is a point on the number axis, and ab = 10
As shown in the figure, it is known that the number represented by point a on the number axis is 6, B is a point on the number axis, and ab = 10. Starting from point a, the moving point P moves uniformly to the left along the number axis at the speed of 6 unit lengths per second, and the movement time is t (T > 0) seconds
If M is the midpoint of AP and N is the midpoint of Pb, does the length of segment Mn change during the movement of point P? If it changes, please explain the reason; if it does not change, please draw a graph and find out the length of segment Mn;
(1) The number represented by point B is - 4, and the number represented by point P is: P = 6-6t (T > 0)
(2) The reason why the length of line segment Mn does not change is: MP = AP / 2, NP = Pb / 2, and Mn = MP + NP = AP / 2 + Pb / 2 = (AP + Pb) / 2 = AB / 2 = 5, so it does not change. Because of the trouble in drawing, I won't draw it. Have a look
As shown in the figure, on the number axis, the number represented by point C is 6, the number represented by point a is - 10, points P and Q start from a and C at the same time, and point P moves along the number axis at the speed of 6 units per second
When point P moves to the origin o, points P and a stop at the same time. Let t (T < 0) seconds be the time of no motion
1. Find the length of MQ, expressed by T
2, when the value of T is, the origin o is exactly the midpoint of the line PA
Let t (T > 0) seconds be the time of no movement
Note: I think the original question should be that when P moves to o, P and Q stop at the same time. The second question should be that O is the midpoint of PQ, and you should mistakenly type Q as a. if so, the answer process is as follows:
1. It can be seen from the meaning of the title:
The time required for P to move to o is 10 / 6 = 5 / 3 s, so the value range of T is [0,5 / 3 S]
When the motion stops, Q motion distance CQ = 3 * (5 / 3) = 5
As shown in the figure, on the number axis, the number represented by point C is 6, the number represented by point a is - 10, points P and Q start from a and C at the same time, and point P moves along the number axis at the speed of 6 units per second
When point P moves to the origin o, point P and Q stop at the same time. Let t (T < 0) s be the time of no motion
1. Find the length of MQ (expressed by an algebraic expression containing T) 2. When t is the value, the origin o is exactly the midpoint of the line PQ
(1) The number corresponding to point P-10 + 6T
The number corresponding to Q point 6-3t
The number corresponding to point m - 10 + 3T
MQ=(6-3t)-(-10+3t)=16-6t (0
RELATED INFORMATIONS
- 1. As shown in the figure, it is known that the number represented by point a on the number axis is 6, B is a point on the number axis, and ab = 10. Starting from point a, the moving point P moves uniformly to the left along the number axis at the speed of 6 unit lengths per second, and the movement time is t (T > 0) seconds (1) (1) write the number represented by point B on the number axis______ The number represented by point P______ (expressed by an algebraic expression containing T); ② m is the midpoint of AP and N is the midpoint of Pb. Does the length of segment Mn change during the movement of point P? If it changes, please explain the reason; if it doesn't change, please draw a graph and find out the length of line Mn; (2) moving point Q starts from point a and moves left uniformly along the number axis at the speed of 1 unit length per second; moving point R starts from point B and moves left uniformly along the number axis at the speed of 43 unit length per second; if P, Q and R start at the same time, when point P meets point R, it immediately returns to point Q Then, what is the unit length of the journey from the start to the stop of point P?
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