2010·宁夏银川·三模
1 . 如图所示,四棱锥P—ABCD中,AB
AD,CD
AD,PA
底面ABCD,PA=AD=CD=2AB=2,M为PC的中点.
![](https://img.xkw.com/dksih/QBM/2014/3/24/1571572511514624/1571572517273600/STEM/78aa1168db8748c085c7515f91949a6e.png?resizew=289)
(1)求证:BM//平面PAD;
(2)在侧面PAD内找一点N,使MN
平面PBD;
(3)求直线PC与平面PBD所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://img.xkw.com/dksih/QBM/2014/3/24/1571572511514624/1571572517273600/STEM/78aa1168db8748c085c7515f91949a6e.png?resizew=289)
(1)求证:BM//平面PAD;
(2)在侧面PAD内找一点N,使MN
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
(3)求直线PC与平面PBD所成角的正弦值.
您最近一年使用:0次
2014高三·全国·专题练习
2 . 在四棱锥
中,底面
是边长为1的正方形,且
平面
.
![](https://img.xkw.com/dksih/QBM/2014/3/22/1571570269937664/1571570275336192/STEM/ccc32e9fab444b1283a602ee5c680813.png?resizew=188)
(1)求证:
;
(2)过直线
且垂直于直线
的平面交
于点E,且三棱锥
的体积取到最大值,
①求此时
的长度;
②求此时二面角
的余弦值的大小.
![](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/a583e945f6af87569753591853bf9a31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/2014/3/22/1571570269937664/1571570275336192/STEM/ccc32e9fab444b1283a602ee5c680813.png?resizew=188)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4125524caac016727c80d2722c5ba3.png)
(2)过直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42020cfacd62b300cad053981bab9e0b.png)
①求此时
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
②求此时二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/370148e9147aa25c60a07ab4ad46e83d.png)
您最近一年使用:0次
2016-12-02更新
|
3046次组卷
|
3卷引用:2015-2016学年山西太原五中高二上学期期末理科数学试卷
12-13高二上·福建龙岩·期末
解题方法
3 . 如图,四棱锥
中,
底面
, ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a44c862750e6962f0863bace5b2b469.png)
是线段
上的一点(不包括端点).
![](https://img.xkw.com/dksih/QBM/2012/2/13/1570734543036416/1570734548598784/STEM/4b60bbd9-7d9a-4663-93e7-cde76997504f.png?resizew=197)
(Ⅰ)求证:
平面
;
(Ⅱ)求二面角
的正切值;
(Ⅲ)试确定点
的位置,使直线
与平面
所成角
的正弦值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7618bd5c98c465f1224c022c949cb273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a44c862750e6962f0863bace5b2b469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2012/2/13/1570734543036416/1570734548598784/STEM/4b60bbd9-7d9a-4663-93e7-cde76997504f.png?resizew=197)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ffc6952e988d04f22f0fb2f7f0ab7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd11087469e4a1faf823fcd529a9ccc.png)
(Ⅲ)试确定点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66a5b7813e902306477f91f9f4084cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83303d3784492506fc44f2b4d6b07bc1.png)
您最近一年使用:0次
真题
4 . 如图,正三棱柱
的所有棱长都为
,
为
中点.
(Ⅰ)求证:
平面
;
(Ⅱ)求二面角
的大小;
(Ⅲ)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4560fa4ad459b58b723c74bd24e51ebf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f97babc2abb18c1540d3a5504f7cf3fe.png)
(Ⅲ)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
![](https://img.xkw.com/dksih/QBM/2010/8/14/1569815139377152/1569815144587264/STEM/91df357d-baf5-4bf5-a9ad-d96db330d705.png?resizew=252)
您最近一年使用:0次
2016-11-30更新
|
2795次组卷
|
7卷引用:2015-2016学年甘肃省天水市秦安县一中高二上学期期末理科数学试卷
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