解题方法
1 . 如图,已知三棱锥
的侧棱
,
,
两两垂直,且
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/bfad256a-aa3b-4fb1-a08a-46cb3a82f05f.png?resizew=189)
(1)求异面直线
与
所成角的余弦值;
(2)求点
到面
的距离.
(3)求二面角
的平面角的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40c32481c8ff2ea94234d8491244d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/6/bfad256a-aa3b-4fb1-a08a-46cb3a82f05f.png?resizew=189)
(1)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e9d395e5501c87fec93dee44d24027.png)
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2020-10-19更新
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3卷引用:辽宁省葫芦岛市第八高级中学2020-2021学年高二上学期实验班第一次月考数学试题