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In the rectangular coordinate system above, the coordinates of points A and B are shown. If the dotted lines represent a second
In the rectangular coordinate system above, the coordinates of points A and B are shown. If the dotted lines represent a second
admin
2009-05-19
36
问题
In the rectangular coordinate system above, the coordinates of points A and B are shown. If the dotted lines represent a second pair of coordinate axes with origin at A, and if the scale is the same on both pairs of axes, what are the coordinates of point B with respect to the second pair of axes?
选项
A、(-33, 88)
B、(33, 48)
C、(33, -48)
D、(97, 88)
E、(97, -88)
答案
C
解析
在一个平面直角坐标系(rectangular coordinate system)中,已标出了A点和B点的坐标,如果虚线表示原点在A的另一坐标系,并且两坐标系的坐标轴的刻度的大小都相同,那么B点在第二个坐标系中所对应的坐标是多少?
解:本题的正确答案是(C)。由图可知,旧坐标系中的点(x,y)在新坐标系中的对应坐标为(x-32,y-68),由此可知O点在第二坐标系的坐标为(-32,-68),B点在新坐标系中的坐标为(65-32,20-68),也即(33,-48)。
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