1 . 如图,在四棱锥E﹣ABCD中,AB⊥平面BCE,CD⊥平面BCE,AB=BC=CE=2CD=2,∠BCE=
.
![](https://img.xkw.com/dksih/QBM/2016/4/14/1572592985382912/1572592991182848/STEM/f50aa760d4144fd2a060dbb0fe0c75b5.png)
(1)求证:平面ADE⊥平面ABE;
(2)求三棱锥A﹣BDE的体积.
![](https://img.xkw.com/dksih/QBM/2016/4/14/1572592985382912/1572592991182848/STEM/32a045fa590f4c1ba78a815e1d8b8a16.png)
![](https://img.xkw.com/dksih/QBM/2016/4/14/1572592985382912/1572592991182848/STEM/f50aa760d4144fd2a060dbb0fe0c75b5.png)
(1)求证:平面ADE⊥平面ABE;
(2)求三棱锥A﹣BDE的体积.
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2 . 已知A,B,C,D均在球O的球面上,AB=BC=1,AC=
,若三棱锥D﹣ABC体积的最大值是
.则球O的表面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
A.![]() | B.![]() | C.![]() | D.6π |
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