?????222?????????0?,BC?(?2,?AD??2,,0)AA1?(0,0,3).
?3,,?3???????????????????BC?AA1?0,BC?AD?0,?BC?AA1,BC?AD,又A1A?AD?A, ?BC?平面A1AD,又BC?平面BCC1B1,?平面A1AD?平面BCC1B1.
????(Ⅱ)?BA?平面ACC1A,0,0)为平面ACC1A1的法向量, 1,取m?AB?(2?????????设平面BCC1B1的法向量为n?(l,m,n),则BC?n?0,CC1?n?0.
?3??2l?2m?0,???l?2m,n?m,
3???m?3n?0,1,如图,可取m?1,则n??2,???3?, ??3?2?2?0?1?0?cos?m,n??(2)2?02?02332??3?22(2)?1???3??15, 5即二面角A?CC1?B为arccos
15. 5
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