(2014•江西模拟)如图,已知多面体ABC-DEFG中,AB、AC、AD两两垂直,平面ABC∥平面DEFG,平面BEF
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(2014•江西模拟)如图,已知多面体ABC-DEFG中,AB、AC、AD两两垂直,平面ABC∥平面DEFG,平面BEF∥平面ADGC,AB=AD=DG=2,AC=EF=1,则下列说法中正确的个数为( )
①EF⊥平面AE;
②AE∥平面CF;
③在棱CG上存在点M,使得FM与平面DEFG所成的角为[π/4];
④多面体ABC-DEFG的体积为5.
A.1
B.2
C.3
D.4