
已知圆锥的底面半径为r,高为h,正方体ABCD-A1B1C1D1内接于该圆锥,求这个正方体的棱长.
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设:棱长为X,
那么 (√2)X : (h-X) = (2r) : h
(√2)Xh = 2rh - 2rX
(√2)Xh + 2rX = 2rh
X = 2rh/[(√2)h+2r]
那么 (√2)X : (h-X) = (2r) : h
(√2)Xh = 2rh - 2rX
(√2)Xh + 2rX = 2rh
X = 2rh/[(√2)h+2r]
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