25.在长方体ABCD−A1B1C1D1ABCD-A_{1}B_{1}C_{1}D_{1}ABCD−A1B1C1D1中,DD1=2AB=2BC=2DD_{1}=2AB=2BC=2DD1=2AB=2BC=2,动点PPP满足D1PD1B=λ(0<λ<1)\frac{{D_1}P}{{D_1}B}=\lambda ({0<\lambda <1})D1BD1P=λ(0<λ<1)且在线段BD1BD_{1}BD1上,当APAPAP与CPCPCP垂直时,λ\lambdaλ的值为 ___23\frac{2}{3}32___.