名校
解题方法
1 . 在正方体
中,二面角
的大小是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8160e59f27f3748014e01d562770eb54.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-05-08更新
|
1105次组卷
|
20卷引用:贵州省遵义市第四中学2017-2018学年高二上学期第一次月考数学试题
贵州省遵义市第四中学2017-2018学年高二上学期第一次月考数学试题广东省揭阳市第三中学2017-2018学年高一上学期数学(必修2)试题湖南省长沙市明德中学2019-2020学年高一上学期第三次阶段测试数学试题广东省广州市华南师大附中2018-2019学年高一下学期期末数学试题河北省深州市长江中学2019-2020学年高一下学期第一次月考数学试题江苏省无锡市第六高级中学2019-2020学年高一下学期5月期中数学试题吉林省长春市汽车经济技术开发区第六中学2020-2021学年第一学期高二月考数学(文)试题吉林省长春市汽车经济技术开发区第六中学2020-2021学年第一学期高二月考数学(理)试题(已下线)【新教材精创】13.2.4平面与平面的位置关系—两平面垂直的判定与性质学案第13章:立体几何初步 - 基本图形及位置关系(B卷提升卷)- 2020-2021学年高一数学必修第二册同步单元AB卷(新教材苏教版)山东省临沂市蒙阴县实中学2022-2023学年高一下学期期中考试数学试题(已下线)模块一 专题5 立体几何初步(3)(北师大版)(已下线)模块一 专题5 立体几何初步(3)(人教B)(已下线)模块一 专题3 立体几何初步(3)(人教A)(已下线)模块一 专题5 立体几何初步(3)(苏教版)(已下线)第09讲 拓展三:二面角的传统法与向量法(含探索性问题,7类热点题型讲练)-【帮课堂】2023-2024学年高二数学同步学与练(人教A版2019选择性必修第一册)(已下线)8.6.3平面与平面垂直【第一课】“上好三节课,做好三套题“高中数学素养晋级之路(已下线)6.5.2平面与平面垂直-【帮课堂】(北师大版2019必修第二册)(已下线)6.5.2 平面与平面垂直-同步精品课堂(北师大版2019必修第二册)(已下线)必考考点7 立体几何中角和距离 专题讲解 (期末考试必考的10大核心考点)
名校
2 . 如图,在三棱锥
中,平面
平面
为棱
上靠近点
的三等分点,且
为
的角平分线,则二面角
的平面角的正切值的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4aa9084b8fe0fe05c4388d1f835587b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74684c76385a0240f1e9b7f22202ef12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fabb884dc5f9609de491245463bbe9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf29d07c3751c41ab3503065a5a5052e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/3/16513c35-d137-41b3-ad20-4b4258f1d346.png?resizew=154)
您最近一年使用:0次
2024-03-04更新
|
474次组卷
|
3卷引用:贵州省黔东南苗族侗族自治州2023-2024学年高三上学期九校联考(开学考)数学试题
名校
解题方法
3 . 如图,在三棱柱中,
,
,
为
的中点,平面
平面
.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe6a446b91e73b181f9f4d56264dd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d8afb6a50406ba4c6621f4976c8dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f25c5543b39190dc2499aa66f939659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a7dd471434c923f76809dfa5ee183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
2024-01-31更新
|
404次组卷
|
7卷引用:贵州省六盘水市2023-2024学年高三上学期第二次联考数学试题
名校
解题方法
4 . 如图,在四棱锥
中,底面ABCD是矩形,
,
,
底面ABCD,
,E为PB中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/2e29a3f7-484e-45e2-9478-10d9703fdd6b.png?resizew=162)
(1)求证:
;
(2)求平面EAD与平面PCD所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/2e29a3f7-484e-45e2-9478-10d9703fdd6b.png?resizew=162)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4486d52b6e410fd7b60428121d96cef.png)
(2)求平面EAD与平面PCD所成锐二面角的余弦值.
您最近一年使用:0次
2023-12-11更新
|
1049次组卷
|
3卷引用:贵州省黔东南自治州镇远县文德民族中学校2022届高三上学期期末数学(理)试题
5 . 如图,已知四棱锥
中,底面
是长方形,
平面
为
上一点,
.
(1)若
平面
,求证:
;
(2)若
且
,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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d11e19c84255eb0431415c2dec553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d4c42112e0a22f240ce2ae432e5b4d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/ab41a435-102c-4a98-927c-700e62666407.png?resizew=150)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f1897a7e856b42f8cee0f286ad913d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9a32bd7a1b78b5a0ec562c4025aea8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3da9f4c6c5755bf4da07239c09bccf91.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc59b999911ebaf143764fbdf65d68ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30987c1ff8b2cc69bb6ad6c41bde18b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a571a8a9e4b838f8e9297bbba7f9d121.png)
您最近一年使用:0次
解题方法
6 . 某数学学习小组甲、乙、丙三人分别构建了如图所示的正四棱台①,②,③,从左往右.若上底面边长、下底面边长、高均依次递增
,记正四棱台①,②,③的侧棱与底面所成的角分别为
,
,
,正四棱台①,②,③的侧面与底面所成的角分别为
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9fe8be4195efa5922de62a208227f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943b765718479c160ba61ec5c6f8c5f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e29bf5652f0d4f764c3606efcdb445f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9177f43add5ca8480daa636afc5862b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f64fa38725c136504f723019a18dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e93fa313adc4ac7608ba9449fd755212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8d4017e1a37acb0c8e00508be472b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/242851e5-dc6d-46bf-bda3-8712f6e94023.png?resizew=410)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-11-25更新
|
334次组卷
|
3卷引用:贵州省六盘水市2023-2024学年高三上学期第二次联考数学试题
名校
解题方法
7 . 在正三棱锥
中,二面角
的平面角为
,则
与平面
所成角的正切值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec2524be492bca0d1566bf848066f10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d7da05306245cd9eef92b3684d83ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
A.![]() | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
名校
8 . 如图所示,在四棱锥
中,底面
是矩形,且
,
,
平面
,
,
分别是线段
,
的中点.
;
(2)若
与平面
所成的角为
,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/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb2fbbce7207d2b2bdd5c5ab61ecd04.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70b492fac55d71eea4810b4de14c1bb2.png)
您最近一年使用:0次
2023-09-17更新
|
975次组卷
|
6卷引用:贵州省黄平县且兰高级中学2023-2024学年高二上学期第一次月考数学试题
贵州省黄平县且兰高级中学2023-2024学年高二上学期第一次月考数学试题陕西省咸阳市武功县普集高级中学2023届高三上学期11月期中数学(理)试题山东省潍坊市高密市第三中学2023-2024学年高三上学期9月月考数学试题(已下线)专题8.9 空间角与空间距离大题专项训练-举一反三系列(已下线)重难点专题14 利用传统方法解决二面角问题-【帮课堂】(苏教版2019必修第二册)(已下线)专题06 立体几何初步解答题热点题型-《期末真题分类汇编》(江苏专用)
名校
9 . 如图,正四面体ABCD的顶点A,B,C分别在两两垂直的三条射线Ox,Oy,Oz上,则下列结论错误的为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/15/9f1607e7-d5f1-4c59-94a9-dc91a0e864ab.png?resizew=142)
A.![]() |
B.直线![]() |
C.直线AD与OB所成的角是45° |
D.二面角![]() |
您最近一年使用:0次
2023-09-10更新
|
220次组卷
|
6卷引用:贵州省遵义市2022-2023学年高二下学期期中考试数学试题
名校
10 . 如图,已知在三棱柱
中,平面
平面
,且平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/25/a221d757-b6c7-4110-b295-9b07ed8b0cb8.png?resizew=151)
(1)证明:
平面
;
(2)若
,
,
,
分别为
,
的中点,
,
,求平面
与平面
所成锐二面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f2185273bf04c11118c7954f7ec822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84f4d9c3f1e496cc3fa3401ffaedd7e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d7090639341730951c1bc3c9b6164e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdcfe69b939fd1c271747fe9d37ccdf9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/25/a221d757-b6c7-4110-b295-9b07ed8b0cb8.png?resizew=151)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d97e150793ad48c641db0cc74aaa341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e4f0c1c9cca0555906d8a53e1a6803d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/657d5471e57b894c3833bb3f43ff38ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea0df817e3e2cd95b9cd8f73386834c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24cfad1ba71a78d8f415335cde2f8c52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb0628cecbfc98d390e5447d52414e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcb4ac0912b7d7a1dbf6107d30a41f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f1fc5de1aa6c80c8bbb390adc620543.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
您最近一年使用:0次
2023-08-24更新
|
668次组卷
|
2卷引用:贵州省天柱民族中学2024届高三上学期第一次月考数学试题