解题方法
1 . 已知直三棱柱
中,
是边长为2的等边三角形,
,
为
的中点.
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4cc24037ff3b29f2cb81291734869d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
您最近一年使用:0次
2023-07-11更新
|
460次组卷
|
2卷引用:山东省滨州市2022-2023学年高一下学期期末数学试题
名校
解题方法
2 . 如图①,在梯形
中,
,
,
,将
沿边
翻折至
,使得
,如图②,过点
作一平面与
垂直,分别交
于点
.
平面
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d1db4209983305939d263033b22538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b6d19fedaf8488f9637cd64efbca83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc7f54acef4e40aad465ffe5f8b4b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ea25ef38e4afa8f75ffd0842890289.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2b50db5b93bc6f831b19bb28dece7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da1137c0deb194d802b07f85783a9ad4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662698361c6b3ddaf0c28a3c87be53e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1530d93834fbafba5f7217778ea90442.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd148d264bc9043396f777523e907aa.png)
您最近一年使用:0次
2023-06-13更新
|
818次组卷
|
6卷引用:山东省滨州市部分校2022-2023学年高一下学期5月月考数学试题
山东省滨州市部分校2022-2023学年高一下学期5月月考数学试题山东省滨州市邹平市第一中学2022-2023学年高一下学期5月联考数学试题(已下线)第03讲 空间中平行、垂直问题10种常见考法归类(3)(已下线)第04讲 利用几何法解决空间角和距离19种常见考法归类(4)江西省赣州市第四中学2022-2023学年高一下学期期末数学综合测试试题(已下线)专题07 立体几何初步(2)-期末考点大串讲(人教B版2019必修第四册)
解题方法
3 . 棱长为
的正方体
中,
是面
的中心,则
到平面
的距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/414656636a840bbb9a031d6103239fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72545bef56c4e32d1b76489bd32c3842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f3b0e2bedfe5195443459072d798e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f84d1ed2ff6f93bf229c738c58c15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701f3b0e2bedfe5195443459072d798e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbff29a8f525d55f71ad197cd80d25c4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 在棱长为
的正方体
中,直线BD到平面
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae7f4612c548b1f72a964ddb291cd2e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-07-16更新
|
1860次组卷
|
9卷引用:山东省滨州市2021-2022学年高一下学期期末数学试题
山东省滨州市2021-2022学年高一下学期期末数学试题山东省滨州市惠民县第二中学2022-2023学年高一下学期6月月考数学试题(已下线)7.4 空间距离(精练)(已下线)第八章 立体几何初步 讲核心 02(已下线)8.5.2 直线与平面平行 (精讲)(1)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)专题强化训练四 直线与平面所成的角、二面角的平面角的常见解法(2)-《考点·题型·技巧》江苏省常州市溧阳市2022-2023学年高一下学期期末数学试题四川省自贡市第一中学校2023-2024学年高二上学期10月月考数学试题河南省开封市五县联考2023-2024学年高一下学期第二次月考数学试题
名校
解题方法
5 . 如图,在四棱锥
中,底面ABCD是平行四边形,
,点E是PB的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/46147334-08a2-4aa4-86da-b1bd218b34b1.png?resizew=219)
(1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
平面EAC;
(2)若
,
,
,求点P到平面AEC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cbb05b8b630052ff544249ebd72d95d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/27/46147334-08a2-4aa4-86da-b1bd218b34b1.png?resizew=219)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a9bfa68259d7a331be323b2038d628a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d1fb184263d8ee5f5501162e516bb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7b6d04f024ca05cdfacc8ce9137c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/799eb4b34586b807b0042aaa57ac5b84.png)
您最近一年使用:0次
2022-07-16更新
|
1192次组卷
|
2卷引用:山东省滨州市2021-2022学年高一下学期期末数学试题
名校
解题方法
6 . 如图所示,在直三棱柱ABC-
,△ABC是边长为4的等边三角形,D、E、F分别为棱
、
、
的中点,点P在棱BC上,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b248fcdeca2711790a7a2ed2c6bff4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/c8eda494-9350-4e9f-918a-1920e9379226.png?resizew=135)
(1)证明:AP∥平面DCE;
(2)求点B到平面APF的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf78d12ef45a9934eb207a43b1a5dee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b248fcdeca2711790a7a2ed2c6bff4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/c8eda494-9350-4e9f-918a-1920e9379226.png?resizew=135)
(1)证明:AP∥平面DCE;
(2)求点B到平面APF的距离.
您最近一年使用:0次
2022-05-27更新
|
743次组卷
|
2卷引用:山东省滨州市滨城区北镇中学2022-2023学年高三上学期数学模拟试题
名校
7 . 如图,正三角形
与菱形
所在的平面互相垂直,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/bd6e3b15-d8a5-41d6-8a06-de3978ec5722.png?resizew=186)
(1)求证:
;
(2)求点
到平面
的距离;
(3)已知点P在线段EC上,且直线AP与平面ABE所成的角为45°,求出
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/bd6e3b15-d8a5-41d6-8a06-de3978ec5722.png?resizew=186)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8682cde5f42ac3c803051f86c3836e59.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca48c18021e7be4bbb3e95576e1c1b5f.png)
(3)已知点P在线段EC上,且直线AP与平面ABE所成的角为45°,求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933736986ccafe47864a744d4c8e19a9.png)
您最近一年使用:0次
2022-05-14更新
|
934次组卷
|
7卷引用:山东省邹平市第一中学2023-2024学年高二上学期9月开学考试数学试题
名校
解题方法
8 . 如图的正方体
中,棱长为2,点
是棱
的中点,点
在正方体表面上运动.以下命题不正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/a28e0cab-6bb7-4e09-8079-3c1b4c4d3039.png?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/a28e0cab-6bb7-4e09-8079-3c1b4c4d3039.png?resizew=164)
A.侧面![]() ![]() ![]() |
B.点![]() ![]() ![]() ![]() ![]() |
C.若点![]() ![]() ![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2021-12-21更新
|
1176次组卷
|
5卷引用:山东省邹平市第一中学2021-2022学年高三上学期模拟新高考一卷数学试题
山东省邹平市第一中学2021-2022学年高三上学期模拟新高考一卷数学试题山东省枣庄市滕州市第一中学2021-2022学年高三上学期12月月考数学试题福建省莆田第二中学2022届高三上学期数学期末练习卷(一)试题(已下线)专题06 空间向量与立体几何(数学思想与方法)-备战2022年高考数学二轮复习重难考点专项突破训练(全国通用)(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】
9 . 如图,在三棱锥
中,
,
,
,则点
到平面
的距离为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/bd58f403-adfd-4351-8a4a-0bc178cadf93.png?resizew=160)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a686f7368e335c5d1389dc2affa9ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/26/bd58f403-adfd-4351-8a4a-0bc178cadf93.png?resizew=160)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
10 . 如图,四棱柱
的底面
是菱形,
,
底面
,
,
.
![](https://img.xkw.com/dksih/QBM/2021/7/2/2755414457237504/2762739840229376/STEM/8124fad3-47ea-4a92-87bf-9f9cab4d2868.png?resizew=296)
(1)证明:平面
平面
;
(2)若
,求
点到面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e5981445b6f2a6c58974158d96a4de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.png)
![](https://img.xkw.com/dksih/QBM/2021/7/2/2755414457237504/2762739840229376/STEM/8124fad3-47ea-4a92-87bf-9f9cab4d2868.png?resizew=296)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7a534c12010e3b8b4497af179f2c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b4cd2b33bd983a9ed6575b9de04a46a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f945a69cf7e8213e50622125cde652f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8358b9bfd17eb4cb819a4d652b6b561.png)
您最近一年使用:0次
2021-07-12更新
|
821次组卷
|
2卷引用:山东省滨州市2023届高三模拟练习数学试题