名校
1 . 已知不重合的直线m、n、l和平面
,下列命题中真命题是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.如果l不平行于![]() ![]() |
B.如果![]() ![]() ![]() |
C.如果![]() ![]() ![]() |
D.如果l上有两个不同的点到平面![]() ![]() |
您最近一年使用:0次
2022-01-27更新
|
1156次组卷
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8卷引用:江西省赣州市赣县第三中学2021-2022学年高一5月月考数学试题
江西省赣州市赣县第三中学2021-2022学年高一5月月考数学试题四川省成都市第七中学2021-2022学年高三上学期1月阶段性考试文科数学试题四川省成都市第七中学2021-2022学年高三上学期1月阶段性考试理科数学试题湖南省湖湘教育三新探索协作体2021-2022学年高二上学期11月期中联考数学试题(已下线)解密14 空间中的平行与垂直(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(全国通用)安徽省安庆市第一中学2021-2022学年高一下学期期中数学试题(已下线)第8.4讲 空间点、直线、平面的位置关系-2021-2022学年高一数学链接教材精准变式练(人教A版2019必修第二册)江苏省无锡市天一中学2021-2022学年高一强化班下学期期中数学试题
解题方法
2 . 如图,在正三棱柱中ABC-A1B1C1,D为AB的中点.
![](https://img.xkw.com/dksih/QBM/2021/12/21/2877244010323968/2880285898661888/STEM/470d8d08bca14a2eb4f91c7971d4f12b.png?resizew=269)
(1)证明:BC1∥平面A1CD;
(2)已知AB=2,CC1=
,求点B1到平面A1CD的距离.
![](https://img.xkw.com/dksih/QBM/2021/12/21/2877244010323968/2880285898661888/STEM/470d8d08bca14a2eb4f91c7971d4f12b.png?resizew=269)
(1)证明:BC1∥平面A1CD;
(2)已知AB=2,CC1=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
3 . 正方体ABCD-A1B1C1D1的棱长为2,E,F分别是BB1,CD的中点,则点F到平面A1D1E的距离为________ .
您最近一年使用:0次
名校
解题方法
4 . 如图,在长方体ABCD﹣A1B1C1D1中,AD=AA1=1,AB=2,点E在棱AB上移动.
![](https://img.xkw.com/dksih/QBM/2022/1/4/2887308482355200/2953585634148352/STEM/db2b7f3787d64e9c8def870522a76a0d.png?resizew=194)
(1)证明:D1E⊥A1D;
(2)当E为AB的中点时,求点E到面ACD1的距离.
![](https://img.xkw.com/dksih/QBM/2022/1/4/2887308482355200/2953585634148352/STEM/db2b7f3787d64e9c8def870522a76a0d.png?resizew=194)
(1)证明:D1E⊥A1D;
(2)当E为AB的中点时,求点E到面ACD1的距离.
您最近一年使用:0次
2022-04-08更新
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1149次组卷
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18卷引用:江西省兴国县第三中学2021届高三上学期第四次月考数学(文)试题
江西省兴国县第三中学2021届高三上学期第四次月考数学(文)试题浙江省金华市曙光学校2021-2022学年高二上学期12月第二次阶段考试数学试题山东省枣庄市枣庄市第十六中学2022-2023学年高二上学期9月月考数学试题安徽省黄山市屯溪第一中学2023-2024学年高二上学期10月月考数学试题(已下线)人教A版高二上学期【第一次月考卷】(测试范围:第1章-第2章)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)云南省文山景尚中学2023-2024学年高二上学期月考(一)数学试题天津市部分区2020-2021学年高二上学期期中练习数学试题安徽省滁州市六校2019-2020学年高二上学期期中文科数学试题北京市第一零九中学2020-2021学年高二上学期期中数学试题(已下线)第三章《空间向量与立体几何》章节复习巩固(基础练+提高练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)(已下线)3.2 立体几何中的向量方法(基础练+提高练)-2021-2022学年高二数学同步训练精选新题汇编(人教A版选修2-1)(已下线)1.4.3 空间向量的应用--距离问题(已下线)专题1.4 空间向量的应用(4类必考点)上海市曹杨中学2022-2023学年高二上学期期中数学试题湖南省邵阳市武冈市2022-2023学年高二上学期期中数学试题(已下线)重难点01 空间角度和距离五种解题方法-【满分全攻略】2022-2023学年高二数学下学期核心考点+重难点讲练与测试(沪教版2020选修一+选修二)(已下线)高二上学期期中【全真模拟卷01】(人教A版2019)(原卷版)(已下线)期末真题必刷压轴60题(23个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)
5 . 如图1,在直角梯形ABCD中,
,
,且
,现以AD为一边向梯形外作正方形ADEF,然后沿边AD将正方形ADEF翻折,使
,M为ED的中点,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/a79dd867-e81b-4a2d-9694-7496a0f02b80.png?resizew=511)
(1)求证:平面
平面BDE;
(2)若
,求D到平面BEC的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3da6e90f9c9617cd495abb57ab9b0e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/3/a79dd867-e81b-4a2d-9694-7496a0f02b80.png?resizew=511)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c309e58bf083bad13abd549720a63a22.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
您最近一年使用:0次
6 . 如图1,在直角梯形
中,
,
,且
,现以
为一边向梯形外作正方形
,然后沿边
将正方形
翻折,使
,
为
的中点,如图2.
![](https://img.xkw.com/dksih/QBM/2021/6/16/2744371237044224/2803776941023232/STEM/73bc771f-6e4a-4584-b89a-4a6c489021ef.png?resizew=605)
(1)求证:
平面
;
(2)求证:平面
平面
;
(3)若
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0046177466c78f08d45449dc5639bf38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/3ecc1cb55a57dde481f8dd07ab150676.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3da6e90f9c9617cd495abb57ab9b0e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://img.xkw.com/dksih/QBM/2021/6/16/2744371237044224/2803776941023232/STEM/73bc771f-6e4a-4584-b89a-4a6c489021ef.png?resizew=605)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac480d8d9d7821b62a603cf5cfda236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a814b70236a108be5d6e7ff271fe92.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c309e58bf083bad13abd549720a63a22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82773737609e65dea3c5c67099f1b10d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a814b70236a108be5d6e7ff271fe92.png)
您最近一年使用:0次
2021-09-08更新
|
584次组卷
|
5卷引用:江西省兴国县将军中学2021-2022学年高二上学期月考数学(理)试题
7 . 在正三棱柱
中,
为
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/27e811de-5605-45cd-8b0d-5f169a7cc0c3.png?resizew=196)
(1)求证:平面
平面
;
(2)若
.
①求直线
与平面
所成角的正弦值;
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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/27e811de-5605-45cd-8b0d-5f169a7cc0c3.png?resizew=196)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b9a3f868837555eb40234b3375f4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f96c673a2381f118ea2d3efc0bca1f3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4032f71171b127da8ca7748e27580e57.png)
①求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
②求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9e20d667d04bf3ee7f55cc795ce01.png)
您最近一年使用:0次
2021-07-18更新
|
834次组卷
|
5卷引用:江西省赣州市赣县第三中学2021-2022学年高二9月考试数学(文)试题
江西省赣州市赣县第三中学2021-2022学年高二9月考试数学(文)试题江西省赣州市赣县第三中学2021-2022学年高二9月考试数学(理)试题湖北省仙桃中学、天门中学2021-2022学年高二上学期9月月考数学试题(A卷)重庆市复旦中学2020-2021学年高一下学期期末数学试题(已下线)第八章 立体几何初步(压轴题专练)-单元速记·巧练(人教A版2019必修第二册)
8 . 在斜三棱柱
中,
,
平面
,E,F分别是
,
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/7/2716118902046720/2718099499622400/STEM/4979b066-68f8-4f92-b04c-5d7c624eaaae.png?resizew=287)
(1)求证:
平面
;
(2)已知
,斜三棱柱
的体积为8,求点E到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89195bacd53d43195e70c12b5cfa041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b470c4e195cf7a07b7a331ce4b436e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://img.xkw.com/dksih/QBM/2021/5/7/2716118902046720/2718099499622400/STEM/4979b066-68f8-4f92-b04c-5d7c624eaaae.png?resizew=287)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d37730e89acf607fc2559f43e92b0c8.png)
您最近一年使用:0次
2021-05-10更新
|
1122次组卷
|
4卷引用:江西省赣州市厚德外国语学校、丰城中学2022届高三联考数学(文)试题
9 . 如图,在四棱锥
中,四边形
是直角梯形,
,
,
为等边三角形.
![](https://img.xkw.com/dksih/QBM/2021/5/29/2731336569552896/2782487578140672/STEM/7f6aefc1e15a450faef0444c0f45cec6.png?resizew=210)
(1)证明:平面
平面
;
(2)若
的面积为
,求点
到平面
的距离.
![](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/b566b814612351e083f5c8b218319dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e32e6fa4030411db9bc4626b8c695f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36aae82d53f2a35d2f95f467bd5b76cf.png)
![](https://img.xkw.com/dksih/QBM/2021/5/29/2731336569552896/2782487578140672/STEM/7f6aefc1e15a450faef0444c0f45cec6.png?resizew=210)
(1)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a3fd5284e160896f07ce367645fd04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c025ee3317be1099b7bf03a11e37ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
您最近一年使用:0次
解题方法
10 . 在如图所示的多面体中,平面
垂直于以
为直径的半圆面,
为
上一点,
,
,
.
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455712498843648/2457599813337088/STEM/472d7ef98b114dcf9a1b6eea62933c54.png?resizew=197)
(1)若点
是线段
的中点,求证:
平面
;
(2)若点
为
的中点,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d70676406f26d339465fe3473c0c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e20b970f3b0dc1c9a3de6eb09beead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9060f03b9ee41d70d135b1e1a8902ce9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1822a1725b8797343a6615378356d91c.png)
![](https://img.xkw.com/dksih/QBM/2020/5/4/2455712498843648/2457599813337088/STEM/472d7ef98b114dcf9a1b6eea62933c54.png?resizew=197)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06222ee533c2484ab25321a6abbf98cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
2020-05-07更新
|
167次组卷
|
3卷引用:江西省赣州市2019-2020学年高三年级摸底考试数学(文)试题
江西省赣州市2019-2020学年高三年级摸底考试数学(文)试题(已下线)【南昌新东方】 江西省南昌市新建一中2020-2021学年高三上学期10月第一次月考数学(文)试题江西省南昌市新建县第一中学2021届高三第一次月考数学文科试题