In the coordinate plane, points B and C are endpoints of a diameter of circle with center O, if the coordinates of B are(3, 4)an

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问题 In the coordinate plane, points B and C are endpoints of a diameter of circle with center O, if the coordinates of B are(3, 4)and the coordinates of C are(-7, 8), then what are the coordinates of the center?

选项 A、(2,-5)
B、(-5, 2)
C、(0, 0)
D、(1,0)
E、(-2, 6)

答案E

解析 BC是直径,O是圆心,那么O点必然是BC的中点,因此O点坐标为:,化简后得到(-2,6)。
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