名校
解题方法
1 . 如图,在四棱锥
中,底面
为矩形,平面
平面
,
,
,
,
,
分别是
,
的中点.
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](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/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7920d2550a6af7df3db60a33fe02c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58097af4081e62c2ec10c006828fa544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/13/74f98797-46d4-4dce-92df-f56008696c3c.png?resizew=163)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcf19a7f0dd0cdf59516ae585025110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a40e279fbb77437a71f5b5fde83327.png)
您最近一年使用:0次
2023-08-12更新
|
1175次组卷
|
7卷引用:北京市密云区2023届高三考前保温练习(三模)数学试题
2 . 已知在四棱锥
中,底面
是边长为4的正方形,
是正三角形,
、
、
、
分别是
、
、
、
的中点.再从条件①、条件②、条件③这三个条件中选择一个条件作为已知.条件①:
平面
;条件②:
;条件③:平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/a02865db-9e8b-432a-a515-5f6c17c87e73.png?resizew=180)
(1)求证:
平面
;
(2)求平面
与平面
所成锐二面角的大小;
(3)在线段
上是否存在点
,使得直线
与平面
所成角为
,若存在, 求线段
的长度;若不存在,说明理由.
![](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/55a675310c8ba418e5a59beb7317e21e.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/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ff0680cd736c1d1791dd94429af88c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/13/a02865db-9e8b-432a-a515-5f6c17c87e73.png?resizew=180)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e126c16032892966489053f44b9048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9e953a4a5f98c96bbe67cbaadf76d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67d01e61dc0042e67b5e8ec8e727c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
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2023-01-11更新
|
431次组卷
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2卷引用:北京市密云区2022-2023学年高二上学期期末考试数学试题
名校
3 . 如图所示,在多面体
中,梯形
与正方形
所在平面互相垂直,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/8f324eb0-98da-411c-ab97-318254a819a3.png?resizew=168)
(1)求证:
平面
;
(2)求证:
平面
;
(3)若点
在线段
上,且
,求异面直线
与
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d4ea87a0837c4eee99c8b5ba6ec977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8225b3e02f5a9f1fd5a09ada650cb78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226f97b0dbd6af60e19da05c82384328.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/8f324eb0-98da-411c-ab97-318254a819a3.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d888c0b616792a2c41ff180de99fbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a5f445af1ae136773cb338920552ff2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14eec658f69c267a70c1e8f9b744e282.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f515c607a8cfbfc03b0e3718c1863c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
您最近一年使用:0次
2023-01-11更新
|
574次组卷
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4卷引用:北京市密云区2022-2023学年高二上学期期末考试数学试题
北京市密云区2022-2023学年高二上学期期末考试数学试题(已下线)专题05用空间向量研究距离、夹角问题(2个知识点6种题型1个易错点1种高考考法)(1)北京市北京师范大学附属中学平谷第一分校2023-2024学年高二下学期2月月考数学试题(已下线)通关练04 空间向量与立体几何大题9考点精练(41题)- 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
4 . 如图所示,在直三棱柱
中,
,
,点
分别为棱
,
的中点,点
是线段
上的点(不包括两个端点).
![](https://img.xkw.com/dksih/QBM/2022/5/1/2969888881025024/2970026896293888/STEM/689068d4a96b4032aae751b60c8a04f9.png?resizew=212)
(1)设平面
与平面ABC相交于直线m, 求证:
;
(2)当
为线段
的中点时,求点
到平面
的距离;
(3)是否存在一点
,使得二面角
的余弦值为
,如果存在,求出
的值;如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96a6b20a35af7755e5d90789ea862da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/2022/5/1/2969888881025024/2970026896293888/STEM/689068d4a96b4032aae751b60c8a04f9.png?resizew=212)
(1)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5462d242e01ea2c26c1f31aeccf27a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
(3)是否存在一点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d3793f8863ff929602e3e60ebae6127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74d0f451005f07f21f3380c707dc79d4.png)
您最近一年使用:0次
名校
5 . 如图,在直三棱柱
中,
,D是棱
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/4fc19a80-bd69-49f7-bf56-58fe950a63a2.png?resizew=153)
(1)求证:
;
(2)求二面角
的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512cc5f78111d4592f6d843db6915f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdd25759a3bb1f1283f93e7f2b1c5774.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/20/4fc19a80-bd69-49f7-bf56-58fe950a63a2.png?resizew=153)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896d66e2af642634094aec5187f29a21.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98e0254c84e44728749b34c08c28ab1e.png)
您最近一年使用:0次
2023-04-19更新
|
162次组卷
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18卷引用:2020届北京市密云区高三第二学期第二次阶段性测试数学试题
2020届北京市密云区高三第二学期第二次阶段性测试数学试题2015-2016学年河北冀州中学高一下首次月考理科数学卷天津市南开中学2017届高三第五次月考数学(文)试题吉林省吉化第一高级中学校2020-2021学年高二11月月考数学(理)试题云南省保山市第九中学2019-2020学年高二下学期期中考试数学(理)试题陕西省西安市重点高中2021-2022学年高三上学期第一次考试理科数学试题江苏省扬州市公道中学2020-2021学年高二下学期第二次学情测试数学试题甘肃省天水市第一中学2021-2022学年高三上学期第一次考试 数学(理科)试题北京市第十五中学2022届高三上学期期中考试数学试题云南省弥勒市第一中学2021-2022学年高二上学期第二次月考数学试题福建省厦门集美中学2022届高三12月月考数学试题黑龙江省双鸭山市第一中学2021-2022学年高二上学期期末数学试题北京市海淀区首都师范大学附属中学2022届高三下学期三模练习数学试题甘肃省武威市凉州区2021-2022学年高二下学期期末考试数学(理)试题陕西省安康市白河高级中学实验班2021-2022学年高二上学期期末理科数学试题(已下线)专题24 空间向量与空间角的计算-十年(2011-2020)高考真题数学分项(已下线)专题11 空间角的计算(重点突围)(2)(已下线)第七章 应用空间向量解立体几何问题拓展 专题二 平面法向量求法及其应用 微点1 平面法向量求法及其应用(一)【培优版】
6 . 如图,在四棱锥
中,平面
平面
为等边三角形,
,
是棱
的中点.
![](https://img.xkw.com/dksih/QBM/2021/2/8/2653700900847616/2657740040224768/STEM/ccff3d80-a8be-402e-bc05-0deff795e870.png)
(1)求证:
平面
;
(2)求二面角
的余弦值;
(3)证明:直线
与平面
相交.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3826f38ba13d3cdac1485ac3b67bc1de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48dd6ecb39582bf3bc1fcc7c2c0437b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2021/2/8/2653700900847616/2657740040224768/STEM/ccff3d80-a8be-402e-bc05-0deff795e870.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a8e0c5bcf2d86726cd9f561b8ff5fe.png)
(3)证明:直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
您最近一年使用:0次
名校
7 . 如图,在四棱锥
中,平面
平面
分别为线段
的中点.四边形
是边长为1的正方形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/a7329a32-b366-45bf-914a-0e140d16dd58.png?resizew=217)
(Ⅰ)求证:
平面
;
(Ⅱ)求直线
与平面
所成角的正弦值;
(Ⅲ)点N在直线
上,若平面
平面
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c753cb1eb73fd8d136d00462970797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d28c625d7ac6878957facc8274d459c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a323de57c6845a61371edf9602760ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89527fc11e510c47cab3a2a1dd079059.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801e1dedf515fad8dc2a7a9a4ab715e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b6a15446b4344a0073680293abf73e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/a7329a32-b366-45bf-914a-0e140d16dd58.png?resizew=217)
(Ⅰ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5865d488a9cf1181016fd2e866177cdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(Ⅱ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(Ⅲ)点N在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/038b970e78494969975c94dc53a33c4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
您最近一年使用:0次
2021-01-27更新
|
402次组卷
|
4卷引用:北京一六一中学2022届高三12月数学试题
名校
解题方法
8 . 如图,在四棱锥P﹣ABCD中,PA⊥平面ABCD,PA=AD=CD=2,BC=3,
,E为PB中点,_____,
求证:四边形ABCD是直角梯形,并求直线AE与平面PCD所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/8/a0ace85f-605c-4e5c-8624-efd61d74659e.png?resizew=199)
从①CD⊥BC;②BC∥平面PAD这两个条件中选一个,补充在上面问题中,并完成解答.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1720da6d65e7fa854d98322d3864240.png)
求证:四边形ABCD是直角梯形,并求直线AE与平面PCD所成角的正弦值.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/8/a0ace85f-605c-4e5c-8624-efd61d74659e.png?resizew=199)
从①CD⊥BC;②BC∥平面PAD这两个条件中选一个,补充在上面问题中,并完成解答.
您最近一年使用:0次
2020-11-03更新
|
1070次组卷
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6卷引用:北京市一六一中学2022届高三下学期开学考数学试题
北京市一六一中学2022届高三下学期开学考数学试题江苏省苏州市常熟中学2019-2020学年高一(15.16班)下学期六月质量检测数学试题北京市昌平区2020届高三第二次统一练习(二模)数学试题(已下线)重难点3 空间向量与立体几何-2021年高考数学【热点·重点·难点】专练(山东专用)人教A版(2019) 选修第一册 实战演练 第一章 易错疑难突破专练北京市西城区第一六一中2021-2022学年高三下学期开学数学试题
解题方法
9 . 如图,在四棱锥P-ABCD中,底面ABCD是边长为2的菱形,
,
为等边三角形,平面
平面ABCD,M,N分别是线段PD和BC的中点.
![](https://img.xkw.com/dksih/QBM/2020/4/26/2449798247702528/2451416645591040/STEM/3777eebb-4434-4dfe-9d26-1d8e42f20f50.png)
(1)求直线CM与平面PAB所成角的正弦值;
(2)求二面角D-AP-B的余弦值;
(3)试判断直线MN与平面PAB的位置关系,并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a675310c8ba418e5a59beb7317e21e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93edc7bb513f40a89173121c8570cd65.png)
![](https://img.xkw.com/dksih/QBM/2020/4/26/2449798247702528/2451416645591040/STEM/3777eebb-4434-4dfe-9d26-1d8e42f20f50.png)
(1)求直线CM与平面PAB所成角的正弦值;
(2)求二面角D-AP-B的余弦值;
(3)试判断直线MN与平面PAB的位置关系,并给出证明.
您最近一年使用:0次
名校
解题方法
10 . 如图,在四棱锥中,底面
为直角梯形,
,
,
,
,
,
为线段
的中点.
![](https://img.xkw.com/dksih/QBM/2020/4/7/2436227523207168/2437009965178880/STEM/5379527a3e8e42cfa284f7a902f50283.png?resizew=279)
(Ⅰ)求直线
与平面
所成角的余弦值;
(Ⅱ)求二面角
的大小;
(Ⅲ)若
在段
上,且直线
与平面
相交,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b43ad03f999c06bd85d470c03a86e4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfc9df9c661bd93b3f4f51f91534c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdb036cdf73e828391c307568905ddd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://img.xkw.com/dksih/QBM/2020/4/7/2436227523207168/2437009965178880/STEM/5379527a3e8e42cfa284f7a902f50283.png?resizew=279)
(Ⅰ)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(Ⅱ)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1069d514c3c32aeabd274475ee209ed6.png)
(Ⅲ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b2857b27a9ac7c6c9f87f6217caa49.png)
您最近一年使用:0次
2020-04-08更新
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474次组卷
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6卷引用:2020届北京市密云区高三上学期期末数学试题
2020届北京市密云区高三上学期期末数学试题天津市新华中学2020-2021学年高三上学期第一次月考数学试题(已下线)第01章 空间向量与立体几何(B卷提高卷)-2020-2021学年高二数学选择性必修第一册同步单元AB卷(新教材人教A版)天津市咸水沽第一中学2020-2021学年高三上学期第一次月考数学试题天津市武清区英华国际学校2021-2022学年高三上学期第一次月考数学试题天津市西青区张家窝中学2021-2022学年高三上学期11月月考数学试题