名校
解题方法
1 . 如图所示,在四棱锥
中,底面
是边长为2的正方形,侧面
为正三角形,且面
面
,
分别为棱
的中点.
(1)求证:
平面
;
(2)(文科)求三棱锥
的体积;
(理科)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/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbb19cb4eb2d7f3207559eb07355ba2.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)(文科)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b349c1f5c598e4aac13751d9bb47b5f.png)
(理科)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15fdf93ad368287ede49777923d190dc.png)
![](https://img.xkw.com/dksih/QBM/2017/10/19/1798661949349888/1802073990381568/STEM/527dec218da84431afcf12077c431975.png?resizew=169)
您最近一年使用:0次
2017-10-24更新
|
1207次组卷
|
3卷引用:2020届西藏山南二中高三一模(理科)数学试题
11-12高一上·广东揭阳·期末
名校
2 . 如图所示,在棱长为2的正方体
中,
、
分别为
、
的
中点.
(1)求证:
;
(2)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
中点.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d435974639ea2850bb5c21efe64b123b.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2b126cad704c02e62fd5a5499f8e91.png)
![](https://img.xkw.com/dksih/QBM/2011/3/21/1570050799984640/1570050805309440/STEM/e7c93eab-cfea-4bcf-84e3-458af1f25ef7.png?resizew=253)
您最近一年使用:0次