1 . 如图,四边形
是矩形,
平面
,
,
为
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/6f5cc0e6-722c-4d51-bf9a-3f9816d5a05e.png?resizew=171)
(1)证明:平面
平面
;
(2)求异面直线
与
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6546d9c27cc1d9d5c5cbd2fc294f6b3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/6f5cc0e6-722c-4d51-bf9a-3f9816d5a05e.png?resizew=171)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d96357a07048ba79b8c84097d359d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b37793a3a810e823e10c340986f55ddd.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
您最近一年使用:0次
名校
2 . 如图,四面体ABCD中,O是BD的中点,AB=AD=2,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/adf50660-fd01-4607-9c7e-294c7a9ac022.png?resizew=112)
(1)求证:AO⊥平面BCD;
(2)求异面直线AD与BC所成角的余弦值的大小;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3777ffb7124b95a577f3d9a7b097c267.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/adf50660-fd01-4607-9c7e-294c7a9ac022.png?resizew=112)
(1)求证:AO⊥平面BCD;
(2)求异面直线AD与BC所成角的余弦值的大小;
您最近一年使用:0次
3 . 在直三棱柱
中,
,
,
.
![](https://img.xkw.com/dksih/QBM/2019/6/25/2233082990845952/2233117772201984/STEM/88ea31a43ea94ddd8af11f633fb2e4c9.png?resizew=121)
(1)求异面直线
与
所成角的大小;
(2)求直线
与平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829018a6ca0aff95d89e3f7cd943274e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fd676c41d2d644928f014b0fea4689.png)
![](https://img.xkw.com/dksih/QBM/2019/6/25/2233082990845952/2233117772201984/STEM/88ea31a43ea94ddd8af11f633fb2e4c9.png?resizew=121)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
您最近一年使用:0次
2018-08-02更新
|
1665次组卷
|
9卷引用:2013-2014学年山西大学附中高二第二学期月考文科数学试卷