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#ad7b10b4-f819-4107-a93b-a5b1c583ef2c中等填空题截面问题立体几何

5.已知直四棱柱ABCDA1B1C1D1ABCD-A_{1}B_{1}C_{1}D_{1},底面ABCDABCD是菱形,ADC=2π3\angle ADC=\frac{2\pi }{3},且AA1=AB=4AA_{1}=AB=4MMABAB的中点,动点PP满足BP=xBB1+yBD\overrightarrow{BP}=x\overrightarrow{B{B}_{1}}+y\overrightarrow{BD},且xxy[0y\in [01]1],则下列说法正确((  ))