⑴A1OCO1是平行四边形,CO1‖ OA1,而OA1⊥ABCD.∴CO1⊥ABCD,CO1∈面O1DC,
∴面O1DC⊥面ABCD.
⑵BO⊥ACA1.作BE⊥AA1.BE=√3/2.BO=1/√2.EO=1/2.
cos∠OEB=OE/EB=1/√3
二面角C-AA1-B的余弦值=1/√3.
⑴A1OCO1是平行四边形,CO1‖ OA1,而OA1⊥ABCD.∴CO1⊥ABCD,CO1∈面O1DC,
∴面O1DC⊥面ABCD.
⑵BO⊥ACA1.作BE⊥AA1.BE=√3/2.BO=1/√2.EO=1/2.
cos∠OEB=OE/EB=1/√3
二面角C-AA1-B的余弦值=1/√3.