1 . (2016·桂林高二检测)如图所示,在四边形ABCD中,AB=AD=CD=1,BD=
,BD⊥CD,将四边形ABCD沿对角线BD折成四面体A′-BCD,使平面A′BD⊥平面BCD,则下列结论正确的是________ .
![](https://img.xkw.com/dksih/QBM/2017/11/30/1828562110152704/1831057743388672/STEM/60fe072aa989494a911ed870c024714b.png?resizew=212)
(1)A′C⊥BD.(2)∠BA′C=90°.
(3)CA′与平面A′BD所成的角为30°.
(4)四面体A′-BCD的体积为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e051d14fd6a787387995331f5e6d026.png)
![](https://img.xkw.com/dksih/QBM/2017/11/30/1828562110152704/1831057743388672/STEM/60fe072aa989494a911ed870c024714b.png?resizew=212)
(1)A′C⊥BD.(2)∠BA′C=90°.
(3)CA′与平面A′BD所成的角为30°.
(4)四面体A′-BCD的体积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d9c3457bb110ade51370f2eed4a0b3.png)
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4卷引用:海南省海南枫叶国际学校2019-2020学年高二上学期期末考试数学试题