1 . 已知四棱柱
中,
平面
,
,
,
,
,点
为
中点.
![](https://img.xkw.com/dksih/QBM/2019/5/13/2202882633531392/2203070685659136/STEM/e6ecc631-8b16-4b2f-bc47-629686fbf401.png?resizew=179)
(Ⅰ)求证:平面
平面
;
(Ⅱ)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddbb0422a136f45653c8c369f2d75fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f54fa15502f4ae24b3ff98bb96ec9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://img.xkw.com/dksih/QBM/2019/5/13/2202882633531392/2203070685659136/STEM/e6ecc631-8b16-4b2f-bc47-629686fbf401.png?resizew=179)
(Ⅰ)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/157770e4c9689b87ed922229e1682d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc46688d8723cf2003fc25890265200.png)
(Ⅱ)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7f4612c548b1f72a964ddb291cd2e.png)
您最近一年使用:0次
11-12高二上·广东·期末
名校
2 . 如图,棱锥
的底面
是矩形,PA
平面ABCD,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/3dc160be-c417-452a-b849-11a4c7901b9b.png?resizew=156)
(1)求证:
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02bd5cfe804460846423e77f72db10f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://img.xkw.com/dksih/QBM/2019/1/8/2114291985612800/2115117632692225/STEM/aca8b017e49d4fbf923d227acea2560a.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f621b2c567303e5d3c67d0e044007f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948d54269de7997fe98f2c1f834e3a4e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/3dc160be-c417-452a-b849-11a4c7901b9b.png?resizew=156)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c306e49fd17d29f0174793cb5e1decbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7dac871c73e4118ff88de9b006e485.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1160f65a646419ab6b4e9884d28c1c1b.png)
您最近一年使用:0次
2019-01-09更新
|
1465次组卷
|
7卷引用:【市级联考】吉林省公主岭市2018-2019学年高二上学期期末考试数学(理)试题
名校
3 . 如图,在三棱柱ABC-A1B1C1中,AA1C1C是边长为4的正方形.平面ABC⊥平面AA1C1C, AB=3,BC=5.
![](https://img.xkw.com/dksih/QBM/2018/2/27/1891426641059840/1911465893330944/STEM/e0f75947e5244d919f96830947c60600.png?resizew=148)
(1)求证:AA1⊥平面ABC;
(2)求二面角A1-BC1-B1的余弦值;
(3)求点C到平面
的距离.
![](https://img.xkw.com/dksih/QBM/2018/2/27/1891426641059840/1911465893330944/STEM/e0f75947e5244d919f96830947c60600.png?resizew=148)
(1)求证:AA1⊥平面ABC;
(2)求二面角A1-BC1-B1的余弦值;
(3)求点C到平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9539f8fb13345b449274b67bbda995db.png)
您最近一年使用:0次
2018-03-28更新
|
863次组卷
|
4卷引用:吉林省长春市十一高中等九校教育联盟2017-2018学年高二下学期期初考试数学(理)试题
4 . 如图,四面体
中,
、
分别
、
的中点,
,
.
![](https://img.xkw.com/dksih/QBM/2018/3/4/1894847958261760/1896477813276672/STEM/0d8ab2d04bea47ebbdbda0e95b2252d3.png?resizew=201)
(1)求证:
平面
;
(2)求异面直线
与
所成角的余弦值的大小;
(3)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27db558e8db4c957654c8e5cecd2d2dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3777ffb7124b95a577f3d9a7b097c267.png)
![](https://img.xkw.com/dksih/QBM/2018/3/4/1894847958261760/1896477813276672/STEM/0d8ab2d04bea47ebbdbda0e95b2252d3.png?resizew=201)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(3)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
您最近一年使用:0次
2018-03-06更新
|
672次组卷
|
4卷引用:吉林省通化市辉南县第六中学2023-2024学年高二上学期第一次半月考数学试题
吉林省通化市辉南县第六中学2023-2024学年高二上学期第一次半月考数学试题河北省保定市2017-2018学年高二上学期期末调研考试数学(理)试题(已下线)2018年高考数学备考中等生百日捷进提升系列(综合提升篇) 专题04 立体几何解答题(文)广东省惠州大亚湾经济技术开发区第一中学2023-2024学年高二上学期第一次月考数学试题
真题
名校
5 . 如图,在四棱锥
中,
平面
,底面
是菱形,
,
.
![](https://img.xkw.com/dksih/QBM/2018/6/25/1975123199098880/2009033766846464/STEM/081dd6d66c6140d8b2c56f6059ecc712.png?resizew=201)
(
)求证:
平面
.
(
)若
,求
与
所成角的余弦值.
(
)当平面
与平面
垂直时,求
的长.
![](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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://img.xkw.com/dksih/QBM/2018/6/25/1975123199098880/2009033766846464/STEM/081dd6d66c6140d8b2c56f6059ecc712.png?resizew=201)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a5928c98b341b16d4b5a5b931d2929d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0628681907ac8d7fdb94d8bc1b15feb9.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f9180ddd9aa1a0ee0dc520f4e0b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/218054144a13435580cd132b9459546c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
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2016-11-30更新
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3503次组卷
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11卷引用:2011-2012学年吉林省吉林一中高二上学期质量检测理科数学
(已下线)2011-2012学年吉林省吉林一中高二上学期质量检测理科数学2011年普通高中招生考试北京市高考理科数学(已下线)2011-2012学年山东省济宁市鱼台二中高二上学期期末考试理科数学(已下线)2013-2014学年河北衡水中学高二上第四次调研考试理数学卷2015届福建省三明市一中高三上学期第二次月考理科数学试卷2015-2016学年四川省成都七中实验学校高二上学期期中文科数学试卷河北省武邑中学2017届高三下学期一模考试数学(理)试题北京市石景山第九中学2017-2018高二上期中试卷 北师大版 数学(理科)上海市普陀区曹杨二中2017-2018学年度高二上学期12月月考数学试题人教B版(2019) 选择性必修第一册 过关斩将 第一章 空间向量与立体几何 1.2 空间向量在立体几何中的应用 1.2.2 空间中的平面与空间向量陕西省咸阳市实验中学2020-2021学年高二上学期第三次月考数学(理)试题