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1 . 下列命题中,错误的是( )
A.垂直于同一个平面的两个平面平行 |
B.三个平面两两相交,则交线平行 |
C.一个平面与两个平行平面相交,则交线平行 |
D.平行于同一条直线的两个平面平行 |
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2023-12-01更新
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3卷引用:湖北十堰市部分普通高中2023-2024学年高二上学期11月期中数学试题
湖北十堰市部分普通高中2023-2024学年高二上学期11月期中数学试题重庆市2024届高三上学期11月月度质量检测数学试题(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5 平面与平面平行的判定与证明【基础版】
2 . 如图,多面体ABCDE中,
平面ABC,平面
平面ABC,
是边长为2的等边三角形,
,AE=2.
(1)证明:平面
平面BCD;
(2)求多面体ABCDE的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c309e58bf083bad13abd549720a63a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b1f4280bc9aaa3290262732eb887d1b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/bff742c4-d05a-4604-84b6-9d882b087c09.png?resizew=140)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54cf75bbfc9db93d27937c8b8e977b9.png)
(2)求多面体ABCDE的体积.
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2023-05-21更新
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1483次组卷
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6卷引用:湖北省十堰市丹江口市第二中学2022-2023学年高一下学期5月月考数学试题
3 . 如图,在四棱锥
中,底面为直角梯形,
,
,
底面
,且
,
,
分别为
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/21/e3608850-db27-494e-9de9-4cbc37bf2db1.png?resizew=163)
(1)证明:
.
(2)求
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef699f5dc072b853cfe700c6f1abbbae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.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/0ae172ead4020c20f9618b4f540e8044.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/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/21/e3608850-db27-494e-9de9-4cbc37bf2db1.png?resizew=163)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962515007ca98ad2d36557b60a42ad6f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a406f24b5131eb7da9127750319e52.png)
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2023-05-19更新
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2391次组卷
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4卷引用:湖北省十堰市丹江口市第二中学2022-2023学年高一下学期5月月考数学试题
湖北省十堰市丹江口市第二中学2022-2023学年高一下学期5月月考数学试题2023届高三新高考数学原创模拟试题第八章 立体几何初步(单元测试)-2022-2023学年高一数学同步精品课堂(已下线)重难点突破02 利用传统方法求线线角、线面角、二面角与距离(四大题型)
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4 . 一个多面体的所有棱长都相等,那么这个多面体一定不可能是( )
A.三棱锥 | B.五面体 | C.六棱锥 | D.六面体 |
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解题方法
5 . 如图1,四边形
是梯形,
是
的中点,将
沿
折起至
,如图2,点
在线段
上.
![](https://img.xkw.com/dksih/QBM/2022/8/25/3051997355786240/3052662834151424/STEM/11b16ef4ffa04da5840a560dcd5860b6.png?resizew=170)
![](https://img.xkw.com/dksih/QBM/2022/8/25/3051997355786240/3052662834151424/STEM/d1324d2e5c26489b941c7fdb7030c258.png?resizew=165)
(1)若
是
的中点,求证:平面
平面
;
(2)若
,平面
与平面
夹角的余弦值为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2768b54752183b24f77a6a0bd5a542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f9fba8a4098c1a0515286eb8d616dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee9bc57f1a415b5790b5b40854c832e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://img.xkw.com/dksih/QBM/2022/8/25/3051997355786240/3052662834151424/STEM/11b16ef4ffa04da5840a560dcd5860b6.png?resizew=170)
![](https://img.xkw.com/dksih/QBM/2022/8/25/3051997355786240/3052662834151424/STEM/d1324d2e5c26489b941c7fdb7030c258.png?resizew=165)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/675e62b42d5693606536cd993e8e74e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719103f93166bab4828257608e641a9a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbccb1ba0e436c5a3296955e8dd38853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b559200a2caa639355f7bc2ed8d37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe67036b4671b5d2a5c55b48c4d3bb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9868f77d5ab5073b6145f1c6d272122e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2012a47fba3643fec7aea1f3fc41eac.png)
您最近一年使用:0次
2022-08-26更新
|
1200次组卷
|
6卷引用:湖北省十堰市东风高级中学2022-2023学年高三上学期开学考试数学试题
6 . 如图1,有一个边长为4的正六边形
,将四边形
沿着
翻折到四边形
的位置,连接
,
,形成的多面体
如图2所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/eb0d194e-c672-49d5-bf8f-c293f3a9a665.png?resizew=256)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/dce17348-3765-4f8e-9a9d-4fac838a1d60.png?resizew=234)
(1)证明:
.
(2)若二面角
的大小为
,
是线段
上的一个动点(
与
,
不重合),试问四棱锥
与四棱锥
的体积之和是否为定值?若是,求出这个定值;若不是,请说明理由.
![](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/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/666e9462f20d4004c666654842817476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e5016c9137ae6cac7d5b83cea41771.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/eb0d194e-c672-49d5-bf8f-c293f3a9a665.png?resizew=256)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/28/dce17348-3765-4f8e-9a9d-4fac838a1d60.png?resizew=234)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a72ab9f7f6b1efc684f28e9389b9b2.png)
(2)若二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cecefa8e8199ae4a74d3bd9ec1b353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4117625867a74cd022584500c76deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c0d3f5c410ccce080ef25e33b11c9d5.png)
您最近一年使用:0次
2022-06-27更新
|
714次组卷
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3卷引用:湖北省十堰市2021--2022学年高一下学期期末数学试题
名校
解题方法
7 . 在通用技术课上,某小组将一个直三棱柱
展开,得到的平面图如图所示.其中
,
,
,M是BB1上的点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/c51bc7fb-8436-4864-beb6-13e5bb06d73c.png?resizew=147)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e371f8a865dd4aa25d41d888f188c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/8/c51bc7fb-8436-4864-beb6-13e5bb06d73c.png?resizew=147)
A.AM与A1C1是异面直线 | B.![]() |
C.平面AB1C将三棱柱截成两个四面体 | D.![]() ![]() |
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2022-04-21更新
|
745次组卷
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5卷引用:湖北省十堰市郧阳中学2021-2022学年高一下学期5月月考数学试题
解题方法
8 . 如图,在棱长为2的正方体ABCD-A1B1C1D1中,E,F分别是DD1,DB的中点,则下列选项中正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/d9e16491-ed25-41cd-a65a-e152aeeb66f7.png?resizew=156)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/d9e16491-ed25-41cd-a65a-e152aeeb66f7.png?resizew=156)
A.EF![]() |
B.EF⊥B1C |
C.EF与AD1所成角为60° |
D.EF与平面BB1C1C所成角的正弦值为![]() |
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2022-03-30更新
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1295次组卷
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6卷引用:湖北省十堰市六校协作体2022-2023学年高二上学期10月月考数学试题
名校
解题方法
9 . 如图,已知四棱锥
中
为矩形,
平面ABCD,
于点
,
于点
.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878631573471232/2893836312150016/STEM/ed2eb80b-f725-4fc1-898a-a69334efad37.png?resizew=171)
(1)求证:
;
(2)若平面
交
于点
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/faeb97acf19bd3b2c6c77c2814df4d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c83f8945042b9c8fb2fbdac9308d62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c152ac8535e5e141342fc11529599841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b73523ef27a2e5f805ae49bd304ba4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878631573471232/2893836312150016/STEM/ed2eb80b-f725-4fc1-898a-a69334efad37.png?resizew=171)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/046ced38ceae712960aca9cbf395017a.png)
(2)若平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defa5b53043ae802bb1af7d14374406d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0de9f23262d5da8444b03010aa8ce4c1.png)
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10 . 如图,在棱长为4的正四面体ABCD中,E,F分别在棱DA,DC上,且EF
AC,若
,
,
,则下列命题正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/7267cb4b-1210-41a7-be43-8476f51b6f41.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a89927311249c7197ca61e331ac704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7051babfc84ce76c79e367b3b5ab273c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d1b979659b047fd677c7c01aaf1002.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/7267cb4b-1210-41a7-be43-8476f51b6f41.png?resizew=169)
A.![]() | B.![]() ![]() |
C.若![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2022-01-12更新
|
1686次组卷
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5卷引用:湖北十堰市部分普通高中2023-2024学年高二上学期11月期中数学试题
湖北十堰市部分普通高中2023-2024学年高二上学期11月期中数学试题湖北省武汉市部分重点中学2021-2022学年高二上学期期中联考数学试题河北省石家庄市第二中学2023届高三下学期4月月考数学试题(已下线)考点14 立体几何中的动态问题 2024届高考数学考点总动员【练】(已下线)第二章 立体几何中的计算 专题一 空间角 微点9 二面角大小的计算(四)【培优版】