As shown in the figure, points a and B are on the number axis, their corresponding numbers are - 4, 2x + 23x − 5 respectively, and the distances from points a and B to the origin are equal, so find the value of X
According to the meaning of the question, 2x + 23x − 5 = | - 4 |, the solution is x = 115, x = 115 is the solution of the original equation, and the value of X is 115
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- 1. On the number axis, the distance from the point to the origin represented by the solution of the equation 2x-5k = 0 with X as the unknown is 5. Try to find all the values of K emergency
- 2. Points a and B are on the number axis, their corresponding numbers are 2x + 1 and 3-x respectively, and the distances from points a and B to the origin are equal, so find the value of X
- 3. It is known that there are two points a and B on the number axis, the distance between a and B is 2, and the distance between a and origin 0 is 3, What is the sum of the distances between all the points B satisfying the conditions and the origin o
- 4. As shown in the figure, on the number axis, the number represented by point a is - 2, and the number represented by point B is - √ 6 As shown in the figure, on the number axis, the number represented by point a is - 2, and the number represented by point B is - √ 6. Find the distance between two points a and B
- 5. It is known that the corresponding numbers of two points a and B on the number axis are 6, - 8 respectively. M, N and P are the three moving points on the number axis. The speed of point m starting from point a is 2 units per second, that of point n starting from point B is three times that of point m, and that of point P starting from the origin is 1 unit per second. (1) if points m, N and P move to the right at the same time, how long does the distance from point P to point m and N equal?
- 6. The three elements of the number axis are______ 、______ 、______ .
- 7. As shown in the figure, there is a point P on the line AB, and the points m and N are the midpoint of the line PA and Pb, ab = 14
- 8. As shown in the figure, P is the midpoint of line AB, and M is a point on Pb. Try to guess the size relationship between ap-mb and PM, and briefly explain the reason
- 9. Given the line AB = 84cm, M is the midpoint of AB, P is on MB, n is the midpoint of Pb, and Nb = 16cm. Find the length of PA Find the formula and the line segment
- 10. It is known that ab = 80cm, M is the midpoint of AB, P is on MB, n is the midpoint of Pb, and MB = 14cm Segment Pb =, am =, BM =. Segment PM =, AP =, an=
- 11. Points a and B are on the number axis, their corresponding numbers are - 4,3x-5 / 2x + 2, and the distances from points a and B to the origin are equal. Find the value of X
- 12. There is a number axis on which there is a point a, and the number represented by it is negative 4. Due to her carelessness, Wang Hong marks the origin of the number axis in the wrong position, so that point a just falls in the position of the opposite number of negative 4?
- 13. When Li Ming is working on the problem, he draws a number axis. There is a point a on the number axis, which means - 3. Due to carelessness, he marks the origin of the number axis in the wrong position, so that point a just falls in the position of 2. Think about it: to draw the number axis correctly, how should the origin move?
- 14. When Xiao Hong is doing a question, she draws a number axis. A point a on the number axis represents - 4. Due to carelessness, she marks the origin of the number axis in the wrong position, so that the point a just falls in the opposite position of - 3. Think about it. To draw the number axis correctly, which direction should the origin move to? How many unit lengths? When Xiao Hong is working on the topic, draw a number axis. The original point a on the number axis represents the number - 4. Due to carelessness, mark the origin of the number axis in the wrong position, so that the point a just falls in the position of the opposite number of - 4. Think about it. To draw the number axis correctly, which direction should the origin move several units of length?
- 15. Xiao Li drew a number axis when he was working on the question. There was a point a on the number axis, which represented the number - 3. Due to carelessness, he marked the origin of the number axis wrong, so that the point a just fell on the position of the opposite number of - 3. If you want to draw the number axis correctly, which direction should the origin move to? How many units of length?
- 16. Xiao Li drew a number axis when he was working on the question. There was a point a on the number axis, which represented the number - 3. Due to carelessness, he marked the origin of the number axis wrong, so that the point a just fell on the position of the opposite number of - 3. If you want to draw the number axis correctly, which direction should the origin move to? How many units of length?
- 17. If the three points on the number axis A.B.C represent - 7. - 3. - 4 respectively, then their distances to the origin are ()
- 18. ABC three points on the number axis represent - 6,0, + 5 respectively, then the positions of the three points are at the beginning of the origin______ ._______ ,______ ,
- 19. If the position of a negative rational number a on the number axis is a, what is the number corresponding to the point farthest from the origin among the points d > o which are D units away from a on the number axis If the position of a negative rational number a on the number axis is a, what is the number corresponding to the point farthest from the origin among the points D units (d > o) away from a on the number axis
- 20. 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 point B is on the left side of point a, and ab = 10. The moving point P starts from point a and moves uniformly to the left along the number axis at the speed of 6 units per second, and the moving time is t (T > o) seconds. The moving point R starts from point B and moves uniformly to the left along the number axis at the speed of 4 units per second?