名校
解题方法
1 . 如图,在四棱锥
中,
平面
,
,
,
,
分别为
的中点.
平面
;
(2)求点
到平面
的距离.
![](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/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/487530f6d17b94493d03b004aa3462d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ff6d7dd48b57f03d82d2c522ee9b94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff65bccc6d801ce84f3f696afee89fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d27ff0b39832f094ec51e28721d739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149596fee6ed1e2d19fd8dadc14a8baf.png)
您最近一年使用:0次
2024-03-16更新
|
890次组卷
|
7卷引用:内蒙古呼和浩特市2022届高三第一次质量数据监测文科数学试题
内蒙古呼和浩特市2022届高三第一次质量数据监测文科数学试题(已下线)回归教材重难点03 立体几何-【查漏补缺】2022年高考数学(文)三轮冲刺过关广西南宁市第三中学2021-2022学年高一下学期期中考试数学试题江西省宜春市丰城拖船中学2023-2024学年高二上学期期中数学试题安徽省安庆市怀宁县高河中学2023-2024学年高二上学期第二次月考数学试题(已下线)黄金卷02(已下线)重难点专题15 空间中的五种距离问题-【帮课堂】(苏教版2019必修第二册)
解题方法
2 . 如图,在四棱锥
中,
平面
,且四边形
是正方形,
,
,
分别是棱
,
,
的中点.
(1)求证:
平面
;
(2)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.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/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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/8/1a8ad366-afe4-40d0-a00d-8df32bb8cf71.png?resizew=168)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8bc5d8308a060d6068cfc9f69fe79e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dc8826770249f3996b8a188c03da92.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24dc8826770249f3996b8a188c03da92.png)
您最近一年使用:0次
2023-08-12更新
|
1240次组卷
|
7卷引用:内蒙古大学满洲里学院附属中学2022-2023学年高一下学期期末考试数学试题
内蒙古大学满洲里学院附属中学2022-2023学年高一下学期期末考试数学试题陕西省安康市2023届高三三模文科数学试题(已下线)高一数学下学期期末模拟试题01(平面向量、解三角形、复数、立体几何、概率统计)陕西省渭南市韩城市2022-2023学年高一下学期期末数学试题(已下线)专题10 空间向量与立体几何-3(已下线)专题10 立体几何综合-2(已下线)第03讲 直线、平面平行的判定与性质(八大题型)(讲义)
名校
解题方法
3 . 如图,在正方体
中
,
分别是棱
的中点,设
是线段
上一动点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/8/137c6978-dfd3-48cf-b91f-e4f88373c934.png?resizew=170)
(1)证明:
//平面
;
(2)求三棱锥
的体积.
![](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/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e86e3991200297ad172455e5ea93f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/8/137c6978-dfd3-48cf-b91f-e4f88373c934.png?resizew=170)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
(2)求三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05479ce59da01ea9c5bef3f20efadb41.png)
您最近一年使用:0次
2023-05-05更新
|
1384次组卷
|
3卷引用:内蒙古自治区巴彦淖尔市衡越实验中学2022-2023学年高一下学期期末数学试题
4 . 在四棱锥
中,
底面ABCD,
,
,
,
,点E在棱PD上,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154ec9dcd13efe2771a584358db72481.png)
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899363994017792/2902076555436032/STEM/8fd27dd3-d23e-4d50-b272-e05d665b31cd.png?resizew=191)
(1)证明:
平面PAB;
(2)若
,求二面角
的余弦值.
![](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/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e0a957a55460c72673c0f2ee90dbb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aab40c3da31f132ceded9671f5020ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154ec9dcd13efe2771a584358db72481.png)
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899363994017792/2902076555436032/STEM/8fd27dd3-d23e-4d50-b272-e05d665b31cd.png?resizew=191)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932a04304f2d4975955d4baabb2deeea.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a17158a669a634e3db538ce76471950.png)
您最近一年使用:0次
名校
解题方法
5 . 如图,已知点P是平行四边形ABCD所在平面外一点,M、N分别是AB、PC的中点
平面PAD;
(2)在PB上确定一个点Q,使平面MNQ
平面PAD.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
(2)在PB上确定一个点Q,使平面MNQ
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895d6f710d5f67e1d4c7408d50d77281.png)
您最近一年使用:0次
2021-09-09更新
|
1630次组卷
|
8卷引用:内蒙古海拉尔第二中学2021-2022学年高三上学期期末考试数学(文)试题
6 . 如图,四边形
为矩形,
和
均为等腰直角三角形,且
平面
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/ec028710-7199-46ca-ba8b-d17005e97962.png?resizew=152)
(1)求证:
平面
;
(2)设
,求二面角
的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6830ebecddbd9759be626289c408e4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/325fe3728e92af1233a412ca30d56cc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/20/ec028710-7199-46ca-ba8b-d17005e97962.png?resizew=152)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec47f6d6cb1eeefbb466e4fe71fd568c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09d9d486b7f91ba933210dd013a7f2c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4254108263110cd3ac074ab843588c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fa7ff056747ebdc342dc2ddf1b4b16.png)
您最近一年使用:0次
7 . 如图,在直四棱柱ABCD-A1B1C1D1中,底面ABCD为等腰梯形,AB∥CD,AB=4,BC=CD=2,AA1=2,E,E1分别是棱AD,AA1的中点.
![](https://img.xkw.com/dksih/QBM/2016/11/23/1573168517840896/1573168524017664/STEM/9fc6451a3a80444aa6bc4092dd3b82d4.png?resizew=178)
(1)设F是棱AB的中点,证明:直线EE1∥平面FCC1;
(2)证明:平面D1AC⊥平面BB1C1C;
(3)求点D到平面D1AC的距离.
![](https://img.xkw.com/dksih/QBM/2016/11/23/1573168517840896/1573168524017664/STEM/9fc6451a3a80444aa6bc4092dd3b82d4.png?resizew=178)
(1)设F是棱AB的中点,证明:直线EE1∥平面FCC1;
(2)证明:平面D1AC⊥平面BB1C1C;
(3)求点D到平面D1AC的距离.
您最近一年使用:0次
2016-12-05更新
|
1395次组卷
|
2卷引用:【全国百强校】内蒙古鄂尔多斯市第一中学2018-2019学年高二上学期期中考试模拟数学(文)试题