摘要:19.如图.已知斜三棱柱ABC-A1B1C1的侧面A1ACC1与底面ABC垂直.∠ABC=90°.BC=2.AC=.且AA1⊥A1C.AA1=A1C. (1)求侧面A1ABB1与底面ABC所成二面角的大小, (2)求顶点C到侧面A1ABB1的距离, (3)求异面直线与所成的角.
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如图,已知斜三棱柱ABC-A1B1C1的侧面A1ACC1与底面ABC垂直,∠ABC=90°,BC=2,AC=
,且AA1⊥A1C,AA1=A1C.
(1)求侧面A1ABB1与底面ABC所成二面角的大小;
(2)求顶点C到侧面A1ABB1的距离;
(3)求异面直线A1C与BC1所成的角.
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(Ⅰ) 设AC的中点为D,证明A1D⊥底面ABC;
(Ⅱ) 求异面直线A1C与AB成角的余弦值.