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#3ad295fb-246d-4278-a485-6a4ba64d8463简单fill_compute空间中的垂直立体几何

25.在长方体ABCDA1B1C1D1ABCD-A_{1}B_{1}C_{1}D_{1}中,DD1=2AB=2BC=2DD_{1}=2AB=2BC=2,动点PP满足D1PD1B=λ(0<λ<1)\frac{{D_1}P}{{D_1}B}=\lambda ({0<\lambda <1})且在线段BD1BD_{1}上,当APAPCPCP垂直时,λ\lambda的值为 ___23\frac{2}{3}___.