In the coordinate plane, points B and C are endpoints of a diameter of circle wi

游客2025-02-27 35

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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[img]2022m10x/ct_ve01204002j_0048_221018[/img]Inthefigureabove,pointsA,B,

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