用平行于棱锥底面的平面去截棱锥,则截面与底面之间的部分叫棱台.
如图,在四棱台
中,下底
是边长为
的正方形,上底
是边长为1的正方形,侧棱
⊥平面
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/14/17e2a43c-53e5-426c-93aa-140e0a8b779f.png?resizew=186)
(Ⅰ)求证:
平面
;
(Ⅱ)求平面
与平面
夹角的余弦值.
如图,在四棱台
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a8a0914a91a95faf8d82f175367f0e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/14/17e2a43c-53e5-426c-93aa-140e0a8b779f.png?resizew=186)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2013/5/10/1571211620589568/1571211625603072/STEM/00956df164314772a21c7b2bcd4f360f.png)
![](https://img.xkw.com/dksih/QBM/2013/5/10/1571211620589568/1571211625603072/STEM/db868a3b19734e5b81c6cfa70b3d07f8.png)
(Ⅱ)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa925951f49177c8fef677808c99062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2c3094cdb59f601c5b2b3dfaed01f.png)
11-12高三·陕西·阶段练习 查看更多[3]
(已下线)2012届陕西省高新一中高三第十一次大练习理科数学(已下线)2012-2013学年陕西省南郑中学高二下学期期中考试理科数学试卷(已下线)第一章 点线面位置关系 专题一 空间平行关系的判定与证明 微点3 直线与平面平行的判定与证明【基础版】
更新时间:2016-12-01 18:30:16
|
相似题推荐
解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】如图,在四面体
中,M,N,P,Q分别为BC,AC,OA,OB的中点,若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b6e7b3d0946d17b418482aaf38c87fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65bfd4f129cd9dc77fcbbd64274b6ae3.png)
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解答题-证明题
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适中
(0.65)
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【推荐2】如图,
矩形
所在的平面,
分别是
的中点,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc3ccd144e442740fe9fa99b3f823cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/f4ef6038-f85a-4702-be98-baf10391a7c3.png?resizew=196)
(1)求证:
;
(2)平面
和平面
所成角的余弦值;
(3)在线段
上是否存在一点
,使
平面
?若不存在,说明理由;若存在,确定点
的位置.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47891397990336f55f96bd66d367758b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc3ccd144e442740fe9fa99b3f823cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/f4ef6038-f85a-4702-be98-baf10391a7c3.png?resizew=196)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab384f2520d76ed8fa01b31e09c1eea.png)
(2)平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf2f0df53aa68c9c334165034788166.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbe796b7c22effa662311e919676faeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
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解答题-证明题
|
适中
(0.65)
名校
解题方法
【推荐1】直四棱柱
,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/6b8905f2-6b5e-4918-b36a-5349aa3b1c90.png?resizew=157)
(1)求证:平面
平面
;
(2)若四棱柱
的体积为36,求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49437f474e5805688dff21ded2d1fd7c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/6b8905f2-6b5e-4918-b36a-5349aa3b1c90.png?resizew=157)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a2e10a5aebe40a9018d5ee3ade7af8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
(2)若四棱柱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab6ad3d3e3064fa417a02dba02dbf04.png)
您最近一年使用:0次
解答题-证明题
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适中
(0.65)
解题方法
【推荐2】如图,在斜三棱柱
中,底面是边长为
的等边三角形,
,点
在下底面上的射影是
的中心O.
![](https://img.xkw.com/dksih/QBM/2021/1/13/2635062232326144/2636119952465920/STEM/e63242fe47c3420b9d9029e642e65ee2.png?resizew=223)
(1)求证:平面
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962ddfa6a45e5588279c2a93f142924a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2021/1/13/2635062232326144/2636119952465920/STEM/e63242fe47c3420b9d9029e642e65ee2.png?resizew=223)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffc9681fa9dc3fe45a0f054cf7d54df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c7156eccdc0769adb348033afd2743e.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32bbdf5dbf9df96742624ada95c36146.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐3】如图,在长方体
中,底面
是正方形,
,E是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/84f49127-f402-4656-9315-447b642d36e4.png?resizew=249)
(1)证明:
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(2)求钝二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c12f3ad689f5e27fba05b0e71a163c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/16/84f49127-f402-4656-9315-447b642d36e4.png?resizew=249)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
(2)求钝二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51e231505648333857565accb0c3c898.png)
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