Current location - Training Enrollment Network - Mathematics courses - The problem-solving process of the 22 nd problem (2) of the 20 12 senior high school entrance examination in Beijing. Operation exploration: (1) Do the following operations on the points on the number
The problem-solving process of the 22 nd problem (2) of the 20 12 senior high school entrance examination in Beijing. Operation exploration: (1) Do the following operations on the points on the number
The problem-solving process of the 22 nd problem (2) of the 20 12 senior high school entrance examination in Beijing. Operation exploration: (1) Do the following operations on the points on the number axis: put the points first. (20 12? Beijing) Operation and Exploration:

(1) Perform the following operation on point p on the number axis: multiply the number represented by point p by.

13, and then shift the corresponding point of the obtained number to the right by 1 unit to obtain the corresponding point P' of the point p.

Point A and point B are on the number axis, and the line segment A'B' is obtained by performing the above operation on each point on line segment AB, where the corresponding points of point A and point B are A' and B' respectively, as shown in figure 1. If the number represented by point A is -3, the number represented by point A' is.

00

; If the number represented by point B' is 2, then the number represented by point B is

33

; It is known that the corresponding point E' obtained from the point E on the line segment AB after the above operation coincides with the point E, then the number represented by the point E is

3232

.

(2) As shown in Figure 2, in the plane rectangular coordinate system xOy, the following operations are performed on the square ABCD and its internal points: the abscissa and ordinate of each point are multiplied by the same real number A, and the obtained points are shifted to the right by m units and then by n units (m > 0, n > 0) to obtain the square A'b'c'd' and its internal points, where point A,