摘要:18.如图.已知斜三棱柱ABC-A1B1C1中.∠BCA=90°.AC=BC=a.点A1在底面ABC上的射影 恰为AC的中点D.BA1⊥AC1. (I)求证:BC⊥平面A1ACC1, (II)求点A1到AB的距离 (III)求二面角B-AA1-C的正切值 解:
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(Ⅰ)求证:BC⊥平面ACC1A1;
(Ⅱ)求AA1与平面ABC所成的角;
(Ⅲ)求二面角B-AA1-C的正切值.
(1)求证:AC1⊥平面A1BC;
(2)求多面体B1C1ABC的体积.