如图,已知矩形ABCD中,AB=10,BC=6,沿矩形的对角线BD把
折起,使A移到A1点,且A1在平面BCD上的射影O恰好在CD上.
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/706b48d14b3a4296980079d94bcb10ec.png)
(Ⅰ)求证:![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/0a5a5d81579c4eaca143de3bee4e97cd.png)
(Ⅱ)求证:平面
平面
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/f58995bd329f45daa426de67a85fc07d.png)
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/706b48d14b3a4296980079d94bcb10ec.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/0a5a5d81579c4eaca143de3bee4e97cd.png)
(Ⅱ)求证:平面
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/e398db05a1844d379c869d7e717861df.png)
![](https://img.xkw.com/dksih/QBM/2015/9/25/1572242873098240/1572242878914560/STEM/c0d79fccfe7c4b3cac2e13dec6c50d71.png)
15-16高三上·北京海淀·期中 查看更多[2]
更新时间:2016-12-03 12:27:21
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【知识点】 证明异面直线垂直
相似题推荐
解答题-证明题
|
较易
(0.85)
【推荐1】如图,在正三棱柱ABC﹣A1B1C1中,点D是棱BC的中点.
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572533346353152/1572533352357888/STEM/f2aa6610ba4f47e9a1c5130eb9b43c16.png)
求证:(1)AD⊥C1D;
(2)A1B∥平面ADC1.
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572533346353152/1572533352357888/STEM/f2aa6610ba4f47e9a1c5130eb9b43c16.png)
求证:(1)AD⊥C1D;
(2)A1B∥平面ADC1.
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解答题-证明题
|
较易
(0.85)
【推荐2】如图,在三棱锥
中,平面
垂直于平面
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/21/2768907861655552/2792315436392448/STEM/9341bdc1-95ff-4b31-92e2-af9c62fb0266.png?resizew=291)
(1)求证:
;
(2)若直线
与平面
所成的角为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f73a0ca4e6c794242489066fddb6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500df0e782bb081e608f4bc1d576afcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0262baa4220c5c9b30e97b9ead8a0254.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b94b33e979c7696cf07859bfebcde48.png)
![](https://img.xkw.com/dksih/QBM/2021/7/21/2768907861655552/2792315436392448/STEM/9341bdc1-95ff-4b31-92e2-af9c62fb0266.png?resizew=291)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ddae20626f9aaac616d2a3b5d95bd.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ee7178683e2afe48ca608446cf696c4.png)
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