如图,在底面为平行四边形的四棱柱
中,![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/459499c9977d42909410f364a4eb72a8.png)
底面
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/9107e00a58c44b05a907ab5879f418ad.png)
(Ⅰ)求证:平面
平面
;
(Ⅱ)若
,求四棱锥
的体积.
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/59f15fec45f24b359a0221da7b20c67a.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/459499c9977d42909410f364a4eb72a8.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/a18bbc3b47244a25a2c03e0d6e665926.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/5c07416e66e741779181e3f5c9a8372b.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/e249dd563ef34fb581b4af5dd52c70fe.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/fc4cb58e7a4b44b4838a9fcda45d4ea0.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/9903e9b85f164b278df2bc1f13938266.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/9107e00a58c44b05a907ab5879f418ad.png)
(Ⅰ)求证:平面
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/93c6159590a04549860e97c952dcc4e9.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/2c943e5126834979a4822db0248c06e6.png)
(Ⅱ)若
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/e5d57afadc30465d809a894a70ae2908.png)
![](https://img.xkw.com/dksih/QBM/2013/12/31/1571450665197568/1571450670792704/STEM/643f107316ab4752a0dd75f1458899a5.png)
12-13高三·广东·阶段练习 查看更多[2]
更新时间:2019-01-30 18:14:09
|
相似题推荐
【推荐1】如图,在棱长为6的正方体
中,
分别在
与
上,且
,连接
,求几何体
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab35850dbc661ded6456b70767cc6cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ee3761d719ede7c88b113a2c71e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2621839ca9ed54f68521363ab2736944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343c99a17fbdc025422c26a0ddbf2dd7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/22/0e773809-fdf2-4010-bd87-b76bfeb13c8b.png?resizew=181)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】已知棱长为2的正方体
中,E,F分别是棱
,
的中点.
(1)求多面体
的体积;
(2)求直线
和平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/14/d8e0ae0e-07b1-4066-a42f-7e369c1fb8e3.png?resizew=168)
(1)求多面体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6466789a7a44d38363b04ba8a8e303ae.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fe734023d4e70010a6b2cc3267cb86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3583696f20b50659d191c89c978e0a3.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐1】如图,四棱锥
中,底面
是梯形,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e8329466adc0fea24c940e1f7f9ced.png)
,
底面
点
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/5884b171-27c9-4f21-856f-fd21c2572a8c.png?resizew=159)
(Ⅰ)证明:
;
(Ⅱ)若
且
与平面
所成角的大小为
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e8329466adc0fea24c940e1f7f9ced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfead9301eebcabcc83d5f122062f558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/093cc685bdc04c65027605f92e239e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/5884b171-27c9-4f21-856f-fd21c2572a8c.png?resizew=159)
(Ⅰ)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d4071b2a24713dfe275d0eac914045.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca26bc612e32e9a8fadf76e2ce11a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ccfd81d120348601cd611241d1a5dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e867e5c7ef4da37d8985ce82022060e.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.64)
【推荐2】如图,四边形ABCD与BDEF均为菱形,∠DAB=∠DBF=60°,AB=2,且FA=FC.
![](https://img.xkw.com/dksih/QBM/2016/4/27/1572605673512960/1572605679632384/STEM/00f8ab2fadae427fa5ff2d69a763f09a.png)
(1)求证:AC⊥平面BDEF;
(2)求三棱锥E﹣ABD的体积.
![](https://img.xkw.com/dksih/QBM/2016/4/27/1572605673512960/1572605679632384/STEM/00f8ab2fadae427fa5ff2d69a763f09a.png)
(1)求证:AC⊥平面BDEF;
(2)求三棱锥E﹣ABD的体积.
您最近一年使用:0次