同一球面上四点A,B,C,D满足AB=BC=√2,AC=2,且球的表面积为(25/4)π,则四面体ABCD体积的最大值为________。

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问题 同一球面上四点A,B,C,D满足AB=BC=√2,AC=2,且球的表面积为(25/4)π,则四面体ABCD体积的最大值为________。
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