解题方法
1 . 如图,在三棱锥
中,平面
平面
,
为等边三角形,
,且
,O,M分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493459259392/1572493465501696/STEM/e112da64-89cf-47ca-8c60-0f038e0e7958.png?resizew=273)
(Ⅰ)求证:
平面
;
(Ⅱ)设
是线段
上一点,满足平面
平面
,试说明点的位置
;
(Ⅲ)求三棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8704811c9c5dba854310ae0de2ba6b05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f63075fdeeb9e765dd696c4ff43ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bc7774144c164f7ebaeca54fa657e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4fce8e923062b9779553d6f282895b.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493459259392/1572493465501696/STEM/e112da64-89cf-47ca-8c60-0f038e0e7958.png?resizew=273)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a56d04dee1d94bb694c34706ee0af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08452588675f76da2f8d31387b3a8224.png)
(Ⅱ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe4f0e847eee390f76f04bb4cf53b31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af57d63e83ef0e183add10cd6beec65b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(Ⅲ)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a94d59dee2d5a8f0425b64b2083825.png)
您最近一年使用:0次
2016-12-04更新
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857次组卷
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2卷引用:2015-2016学年天津市一中高二上学期期中理科数学试卷