正方体外接球面上点的两个性质１５７０４１牡丹江农业学校姜卫东，于桂萍定理１正方体棱长为ａ，Ｐ为其外接球面上任意一点，则Ｐ到正方体各顶点距离的平方和为正方体表面积的２倍．证明如图建立空间直角坐标系．则有Ａ（０，ａ，０），Ｂ（ａ，ａ，０），Ｃ（ａ，０，０... The two properties of the points on the cuboid circumscribed spherical surface 157041 Mudanjiang Agricultural University Jiang Weidong, Yu Guiping Theorem 1 cube cuboid length is a, P is an arbitrary point on the circumscribed sphere, then the square sum of P to the cube vertices distance is 2 of the cube surface area Times. Proved to create a rectangular coordinate system as shown in the figure. Then there are A(0,a,0), B(a,a,0),C(a,0,0...