1 . 如图,在四棱锥
中,
平面
,底面
是平行四边形,
,
为
与
的交点,
为棱
上一点.
![](https://img.xkw.com/dksih/QBM/2017/2/16/1625063100178432/1626777178349568/STEM/f7df7ba3bfcc4b569f8537b3c50cb967.png?resizew=188)
(1)证明:平面
平面
;
(2)若
,求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a5a31a6e5eb13283659cdec9ad727f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186354626d5a1d13b88dfb4df916947b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83511c460cbd4800bfa13a986c445fea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11cead3a2eeb8d1fad779b04e8464e58.png)
![](https://img.xkw.com/dksih/QBM/2017/2/16/1625063100178432/1626777178349568/STEM/f7df7ba3bfcc4b569f8537b3c50cb967.png?resizew=188)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677d1863ff4d8ac1604b18149d4f320f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d669df6c391aa83150df5ae96c39d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5617a404c5a3356753136e5a6b6d51e5.png)
您最近一年使用:0次
2017-02-18更新
|
898次组卷
|
3卷引用:湖南省长沙市第一中学2016-2017学年高一上学期期末考试数学试题
13-14高三上·山西忻州·期中
名校
2 . 如图,在四棱锥
中,底面
是边长为
的正方形,侧面 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
底面
,且
,设
、
分别为
、
的中点.
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572675090644992/1572675096494080/STEM/77cddb6e-f670-43e4-bb28-09eba905f978.png?resizew=280)
(1)求证:
//平面
;
(2)求证:面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
平面
;
(3) 求二面角
的正切值.
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b7201f9eb7e7c10042c096e0c9f15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572675090644992/1572675096494080/STEM/77cddb6e-f670-43e4-bb28-09eba905f978.png?resizew=280)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求证:面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
(3) 求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa431d661bf9f419e8ab713dd4a3c80.png)
您最近一年使用:0次
2016-12-04更新
|
660次组卷
|
5卷引用:2015-2016学年湖南省长沙市望城一中高一上学期期末数学试卷