Translate point a (m, - 2) to the left by 4 units, and the resulting image is symmetric with point a about the Y axis. Find the value of M | Math enthusiast | Mathematical art

Translate point a (m, - 2) to the left by 4 units, and the resulting image is symmetric with point a about the Y axis. Find the value of M

If point a (m, - 2) is shifted 4 units to the left, the image is (M-4, - 2), ∵ and point a are symmetric about the y-axis, ∵ m + M-4 = 0, and the solution is m = 2

Translate point a (a, - 3) to the left by 3 units, the obtained point and point a are symmetrical about the Y axis, and calculate the value of A

a-3+a=0
a=3/2

If the point a (m, 2) is shifted 6 units to the right, and the resulting image is symmetric with point a about the y-axis, then M=______ ．

Point a (m, 2) moves 6 units to the right to get a '(M + 6, 2). Because point a' and point a are symmetrical about the Y axis, M + m + 6 = 0, and the solution is m = - 3. So the answer is - 3

RELATED INFORMATIONS

1. The coordinate of the point P (1,2) with respect to the y-axis symmetry is the same as that of the point P (1,2)______ ．
2. The point P (- 3,2) is translated two unit lengths along the negative direction of X axis to obtain the q-point coordinate___ And then translate Q three unit lengths along the positive direction of Y axis to get the R coordinate?
3. If the point P (- 1-2a, 2a-4) is symmetric about the origin in the first quadrant, then the integer solution of a has () A. 1 B. 2 C. 3 d. 4
4. The point P (2-A, 3A + b) is symmetrical about the origin, and the point is in the third quadrant. Find the value range of a in B
5. Given that the symmetric point P2 (3-2a, 2a-5) of P1 about X axis is the integral point in the third quadrant (the point whose abscissa and ordinate are integers is called integral point), then the coordinate of P1 is______ ．
6. Given that the coordinates of the symmetric point P1 of point P about X axis are (2,3), then the coordinates of the symmetric point P2 of point P about origin are () A. （-3，-2）B. （2，-3）C. （-2，-3）D. （-2，3）
7. In the unit square grid as shown in the figure, △ ABC is shifted 3 units to the right to get △ a ′ B ′ C ′ (where the corresponding points of a, B and C are a ′, B ′, C ′), then the degree of ∠ BA ′ A is______ Degree
8. If the point P (2a-4, 6-3b) is known, it first moves 2 units to the left, then 3 units to the down, and falls on the negative half axis of x-axis, then a and B should be zero______ ．
9. In the plane rectangular coordinate system, if the known point (1-2a, A-2) is in the third quadrant and a is an integer, then the value of a is______ ．
10. 1. The point P (- 2,3) is translated 2 units along the positive direction of X axis, and then 4 units along the negative direction of Y axis. The coordinates of the obtained point are_________ . 2. In the rectangular coordinate system, the coordinate of the point on the X axis whose distance from a (1,0) is equal to 2 is__________ .
11. Given a straight line y = - kx-2, P (- 2,1) Q (3,2) - when k = 2, what is the ratio of the intersection of the straight line and the line PQ to the partial vector PQ? Secondly, when there is an intersection between the straight line and the line PQ, what is the value range of K?
12. Reason for filling: because C is the midpoint of line segment AB, AC = half AB () because MP = MQ. And point m is on line segment PQ, so m is the midpoint of line segment PQ ()
13. If M (2,1) is the midpoint of PQ, then the equation of this line is
14. Let p be on the x-axis, Q be on the y-axis, m (- 1,2) be the midpoint of the segment PQ, / PQ / be equal to
15. Given p (3, - 2), q (m, 2m-1) and PQ ⊥ X axis, then the coordinates of Q point are____ . (100 points for correct answers)
16. Point a is on the x-axis, on the left side of the origin, 4 units from the origin, then the coordinate of this point is?
17. In the coordinate system, the distance between P (2, - 2) and Q (2,4) is equal to______ The coordinates of the midpoint of the segment PQ are______ ．
18. As shown in the figure, angle AOB = 30 degrees, Op bisects angle AOB, PD is parallel to OA, intersection ob at point D, PE is perpendicular to OA at point E, if od = 5cm, PE length is calculated Help. School is about to start.
19. Given that point P is on the straight line passing through points B (0,2) and C (4,0), and the ordinate is - 1, point q is on the image of y = 3 / x, if PQ / / Y axis, the coordinates of point q are obtained Well, you should be right. Don't answer indiscriminately
20. If P is on the image of curve y = LNX, q is on the line y = x, and PQ ‖ Y axis, then the minimum distance from P to the line y = x is? And the minimum value of PQ is?