
(A) (B)2
(C)3
(D)4
(A) (B)2
(C)3
(D)4
B 如图所示,三棱柱ABC—A1B1C1的侧面ABB1A1为边长是2的正方形,
CC1=AC=BC=2,
且CC1与AC、BC都成60°角.
过C1作C1O⊥面ABC于O.过O作OD⊥AC于D,连结C1D,CO,
则∠DCO=30°,C1D⊥AC.
∵CC1=2∠C1CD=60°,
∴C1D=C1C·sin60°=.
CD=C1C·cos60°=1,
OD=CD·tan30°=,
∴C1O=.
S△ABC=×2×2×sin60°=
,
∴V=Sh=×
=
.