题目

在四棱锥中,,.(Ⅰ)若点为的中点,求证:∥平面;(Ⅱ)当平面平面时,求二面角的余弦值. 答案:【答案】(1)见解析; (2).【解析】(I)结合平面与平面平行判定,得到平面BEM平行平面PAD,结合平面与平面性质,证明结论.(II)建立空间坐标系,分别计算平面PCD和平面PDB的法向量,结合向量数量积公式,计算余弦值,即可.(Ⅰ)取的中点为,连结,.由已知得,为等边三角形,.∵,,∴,∴,∴.又∵平面,平面The first use of atomic weapons was in 1945, and their power_______increased enormously ever since. A. is       B. was C. has been          D. had been  
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