摘要:在斜三棱柱ABC―A1B1C1中.已知侧面A1ACC1⊥底面ABC底面 ABC是边长为2的正三角形.A1A=A1C.AlA⊥A1C. -(I)求证:A1C1⊥B1C(Ⅱ)求二面角B1―A1C―C1的大小
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如图,已知斜三棱柱(侧棱不垂直于底面)ABC-A1B1C1的侧面A1ACC1与底面ABC垂直,BC=2,AC=2
,AB=2
,AA1=A1C=
.
(Ⅰ) 求侧棱B1B在平面A1ACC1上的正投影的长度.
(Ⅱ) 设AC的中点为D,证明A1D⊥底面ABC;
(Ⅲ) 求侧面A1ABB1与底面ABC所成二面角的余弦值.
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如图,已知斜三棱柱(侧棱不垂直于底面)ABC-A1B1C1的侧面A1ACC1与底面ABC垂直,BC=2,AC=2
,AB=2
,AA1=A1C=
.
(Ⅰ) 求侧棱B1B在平面A1ACC1上的正投影的长度.
(Ⅱ) 设AC的中点为D,证明A1D⊥底面ABC;
(Ⅲ) 求侧面A1ABB1与底面ABC所成二面角的余弦值.
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(Ⅰ) 求侧棱B1B在平面A1ACC1上的正投影的长度.
(Ⅱ) 设AC的中点为D,证明A1D⊥底面ABC;
(Ⅲ) 求侧面A1ABB1与底面ABC所成二面角的余弦值.