长方体ABCD-A 1 B 1 C 1 D 1 的各顶点都在球O的球面上,其中AB:AD:AA 1 =1:1: 2 .A,B两点的球面距离记为m,A,D 1 两点的球面距离记为n,则 m n 的值为______.
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