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Suppose ABCD is a rectangle, O is the center of the circle. If the coordinates o
Suppose ABCD is a rectangle, O is the center of the circle. If the coordinates o
游客
2025-02-23
7
管理
问题
Suppose ABCD is a rectangle, O is the center of the circle. If the coordinates of O are (-1, 0), coordinates of A are (-2, 1), and coordinates of D are (3, 6) then what are the coordinates of C?
选项
A、(5, 6)
B、(6, 5)
C、(6, 4)
D、(4, 6)
E、(5, 4)
答案
E
解析
ABCD是个长方形,O是圆心,A(-2,1),D(-1,0),D(3,6),那么AO=OB,AB=DC。又知,以上线段平行或方向一致,则AO两点的横纵坐标差与OB两点的横纵坐标差相等,得出B(0,-1);AB两点的横纵坐标差与DC两点的横纵坐标差相等,得出C(5,4)。所以答案为E选项。
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