名校
1 . 如图,在正四棱柱
中,
,
,点
,
分别为
,
的中点,则二面角
的大小为______ ;三棱锥
的外接球的表面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db57eca2a7cbd91bc57372592580a76.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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e7be2f695260a14809dec7d84dfd6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580be22c91b2343e7933f8b1d925fc52.png)
您最近一年使用:0次
名校
2 . 在四棱锥
中,
底面
,
,
,
,且二面角
为
,则( ).
![](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/599f5e0ad680e85e4a91965f643cc2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037b342a682cbd4241855a243da3c016.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
A.![]() |
B.![]() |
C.三棱锥![]() ![]() |
D.二面角![]() ![]() |
您最近一年使用:0次
2023-07-23更新
|
591次组卷
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5卷引用:青海省海东市2022-2023学年高一下学期6月联考数学试题
名校
3 . 如图,在四棱锥P-ABCD中,平面
平面ABCD,
为等边三角形,
,
,M是棱上一点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/3db2c9c3-f4e2-4d68-8169-4fbc69e00e42.png?resizew=190)
(1)求证:
平面MBD;
(2)求二面角M-BD-C的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/342d452a7b850cd3a15b23619ad39bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/177678001b2ccde1db8f57fa5e017002.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d20fec32122b4a70b993976201c9ba9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e57d85dcecc700a41c1950733e45272.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/24/3db2c9c3-f4e2-4d68-8169-4fbc69e00e42.png?resizew=190)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f844a41f79ea2b231b326f8633beac50.png)
(2)求二面角M-BD-C的余弦值.
您最近一年使用:0次
2022-06-23更新
|
1774次组卷
|
6卷引用:青海省海东市第一中学2022届高考模拟(二)数学(理)试题
青海省海东市第一中学2022届高考模拟(二)数学(理)试题(已下线)7.3 空间角(精讲)(已下线)7.5 空间向量求空间角(精讲)江苏省南通市海安市立发中学2022-2023学年高三上学期学情检测(二)数学试题福建省福州格致中学2022-2023学年高二下学期期中考试数学试题辽宁省锦州市辽西育明高级中学2022-2023学年高二下学期期中数学试题
名校
4 . 如图,已知矩形
中,
,
,将矩形沿对角线
把
折起,使
移到
点,点
在
上,且
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/894891b7-c4cf-4903-8c21-f8ed5f324995.png?resizew=195)
(1)求证:
;
(2)求证:平面
平面
;
(3)求二面角
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/894891b7-c4cf-4903-8c21-f8ed5f324995.png?resizew=195)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f752d8a27ed612c37ddc86e8b483a243.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dee56b9f36ba8f76fe67b76383636b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e18b48c0263fbc4cbf072b7662589e2.png)
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5 . 已知三棱锥
的所有顶点都在表面积为
的球O的球面上,AC为球O的直径,当三棱锥
的体积最大时,设二面角
的大小为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95345846d2dd4dfa042a9093c62a8b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d294d69caac577339f11f477b2047e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/224ddd2da7f0013f0ccd1761d25370bf.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 如图,四棱锥
中,底面
为矩形,
底面
,
,点E是棱PB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/490cbe02-6b98-4f5a-8878-25d268051807.png?resizew=157)
(1)证明:
;
(2)若
,求二面角
的平面角的余弦值.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f235e99b0b55ac252c4b18cc315dc114.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/1/490cbe02-6b98-4f5a-8878-25d268051807.png?resizew=157)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4486d52b6e410fd7b60428121d96cef.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28f06184f021ac21d72de1c7f55b0778.png)
您最近一年使用:0次
2020-04-21更新
|
529次组卷
|
2卷引用:青海省海东市平安县第一高级中学2017-2018学年高二上学期期中考试数学(A卷)试题
7 . 在正方体
中,下列几种说法不正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() | B.B1C与BD所成的角为60° |
C.二面角![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2019-01-28更新
|
907次组卷
|
4卷引用:青海省西宁市大通回族土族自治县2021-2022学年高二上学期期末考试数学(理)试题
8 . 如图,在单位正方体
中,点P在线段
上运动,给出以下四个命题:
![](https://img.xkw.com/dksih/QBM/2018/2/9/1878479938617344/1910709412995072/STEM/1c3472d8-ff47-42f5-ab12-89ae95b0caf4.png?resizew=193)
异面直线
与
间的距离为定值;
三棱锥
的体积为定值;
异面直线
与直线
所成的角为定值;
二面角
的大小为定值.
其中真命题有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd694ad3a4733c7c84aaa7946aeea4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8c72afea9fa5ab7f62401e15ca9743.png)
![](https://img.xkw.com/dksih/QBM/2018/2/9/1878479938617344/1910709412995072/STEM/1c3472d8-ff47-42f5-ab12-89ae95b0caf4.png?resizew=193)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c512c047783c07da1d4f4455a4033ef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69d591d3dfe8bd420a1fdae92a5dc6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43c4ad6c77a6459a37bc398ecd5e5253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876959b9f90f2379cf3d0927a8e31005.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84bff766663791e54708508919a9eec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67773252101fb3704fdac88b5f3f1bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7561e754058a8686dfe6e7c0a3fb73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780901c1977b08c38c6ca1e36fe667c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74269cfb503e736149e1ac3165fcbafa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7655f4296dcd6e8f7f5a9e75aebdf.png)
其中真命题有
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2018-03-26更新
|
6796次组卷
|
15卷引用:青海省湟川中学2019-2020学年高二上学期期末考试数学(理)试题
青海省湟川中学2019-2020学年高二上学期期末考试数学(理)试题江西省南昌市第三中学2017-2018学年度上学期高二期末考试数学(理)试题【全国百强校】郑州外国语学校2018届高三第十五次调研考试(文)试题重庆市渝北区松树桥中学校2019-2020学年高二上学期第一次段考考数学试题黑龙江省大庆市铁人中学2019-2020学年高二下学期第一次月考学数学(理)试题安徽省阜阳市太和第一中学2020-2021学年高二(奥赛班)上学期开学考试数学试题(已下线)专题4.3 立体几何的动态问题-玩转压轴题,进军满分之2021高考数学选择题填空题黑龙江省大庆中学2021-2022学年高二上学期开学考试数学试题(已下线)卷02 空间向量与立体几何-单元检测(中)-2021-2022学年高二数学单元卷模拟(易中难)(2019人教A版选择性必修第一册+第二册)黑龙江省大庆市让胡路区大庆中学2021-2022学年高二上学期数学开学考试试题四川省雅安市芦山县芦山中学2020-2021学年高二下学期期中数学理科试题四川省泸州市泸县第一中学2022-2023学年高二下学期开学考试数学(理)试题(已下线)专题05 押全国卷(理科)7,9小题 立体几何四川省宜宾市叙州区第一中学校2022-2023学年高二下学期4月月考数学(理)试题(已下线)第二章 立体几何中的计算 专题六 空间定值问题 微点1 立体几何中的定值问题综述及定长、定距问题【培优版】
9 . A是锐二面角α-l-β的α内一点,AB⊥β于点B,AB=
,A到l的距离为2,则二面角α-l-β的平面角大小为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f8c3ba00c59e0634ed10fa85289de.png)
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2017-12-03更新
|
592次组卷
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3卷引用:青海省西宁市第十四中学2019-2020学年高二上学期期中数学(文)试题
12-13高一上·福建·期末
10 . 如图,已知正方体
,则二面角
的正切值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd190b5a26dfb45a06c1d6ee86dd82d9.png)
![](https://img.xkw.com/dksih/QBM/2017/4/14/1665420759760896/1666346901176320/STEM/28cbba81dbf04fcc89e98fee48491d62.png?resizew=101)
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2017-04-15更新
|
570次组卷
|
6卷引用:青海省大通回族土族自治县第一完全中学2019-2020学年高二上学期期中考试数学试题
青海省大通回族土族自治县第一完全中学2019-2020学年高二上学期期中考试数学试题(已下线)2011-2012学年福建省八县一中高一上学期期末考试数学(已下线)2011-2012学年福建省厦门六中高一下学期期中数学试卷2015-2016学年福建省师大附中高一上学期期末数学试卷2016-2017学年湖南省醴陵二中、醴陵四中高二下学期期中联考数学(文)试卷人教版 全能练习 必修2 第一章 滚动习题(二)