名校
1 . 在如图所示的三棱锥V—ABC中,已知AB=BC,∠VAB=∠VAC=∠ABC=90°,P为线段VC的中点,则( )
![](https://img.xkw.com/dksih/QBM/2021/1/17/2638247125409792/2638974401667072/STEM/fd015704-b1cd-475f-b002-dd4b07b42e45.png?resizew=205)
![](https://img.xkw.com/dksih/QBM/2021/1/17/2638247125409792/2638974401667072/STEM/fd015704-b1cd-475f-b002-dd4b07b42e45.png?resizew=205)
A.PB与AC垂直 |
B.点P到点A,B,C,V的距离相等 |
C.PB与VA平行 |
D.PB与平面ABC所成的角大于∠VBA |
您最近一年使用:0次
2021-01-18更新
|
257次组卷
|
2卷引用:河南省周口市周口恒大中学2024届高三上学期期中数学试题
名校
解题方法
2 . 如图,在四边形
中,
,以
为折痕把
折起,使点
到达点
的位置,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c29e0c78-6351-4c42-9580-dc889bc1491c.png?resizew=141)
(1)证明:
平面
;
(2)若
为
的中点,二面角
等于60°,求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aad2d7c7a8177255f745b3b8101b7dc.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307d38cc7012c328f1f22aa793fe76d7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/4/c29e0c78-6351-4c42-9580-dc889bc1491c.png?resizew=141)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715cc9ea5e7d80930284ffb117142770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f35614aff055b98b76ca262f64e629d.png)
您最近一年使用:0次
2020-05-12更新
|
1704次组卷
|
8卷引用:河南省南阳市第一中学校2021-2022学年高三上学期第四次月考数学(理)试题
解题方法
3 . 如图,四棱锥
的底面
是边长为2的菱形,
,
平面
,点
是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/14f4f138-02fe-4e7c-87c0-e89287800e0f.png?resizew=205)
(1)证明:
;
(2)当
时,求直线
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/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/14f4f138-02fe-4e7c-87c0-e89287800e0f.png?resizew=205)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e4125524caac016727c80d2722c5ba3.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b80ee363635d73f601654339028daec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
4 . 如图,已知四边形
为梯形,
,
,四边形
为矩形,且平面
平面
,又
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/be665de8-fb59-4a20-b430-4866e2743145.png?resizew=188)
(1)求证:
;
(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/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be4e903f726661da71895b03e982a5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bbc56d42b003cbcb1fbe5c50e55b26b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c0db1f4f666a9be9ede868065a50997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f23bfbec3f97a797706e87a2d5a5938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dbe4a746261639d50bb430620e4e3a7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/be665de8-fb59-4a20-b430-4866e2743145.png?resizew=188)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408c0583576eb52299048703e3125367.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
您最近一年使用:0次
2019-12-16更新
|
362次组卷
|
2卷引用:河南省顶级名校2019-2020学年高三尖子生11月诊断性检测数学(文)试卷
名校
5 . 在正方体
中,点
是四边形
的中心,关于直线
,下列说法正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc526324e78e4d9226d1b537f27845a.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2019-09-19更新
|
1825次组卷
|
12卷引用:河南省濮阳市2019-2020学年高一上学期期末数学试题
河南省濮阳市2019-2020学年高一上学期期末数学试题【市级联考】广东省汕头市2019年普通高考第一次模拟考试数学理试题【市级联考】广东省汕头市2019届高三第一次模拟考试文科数学试题新疆伊犁哈萨克自治州奎屯市第一高级中学2018-2019学年高二下学期第二次月考数学(理)试题天津市和平区第一中学2018-2019学年高一下学期期中数学试题1广东省广雅中学、执信、六中、深外四校2020届高三8月开学联考数学文试题天津市和平区第一中学2018-2019学年高一下学期期中数学试题2(已下线)专题8.3 空间点、直线、平面之间的位置关系(练)-浙江版《2020年高考一轮复习讲练测》2020届广东省佛山市禅城区高三上学期统一调研测试(二)数学(文)试题(已下线)专题24 平行与垂直的判定与性质-冲刺2020高考跳出题海之高三数学模拟试题精中选萃新疆昌吉市第九中学2021届高三上学期开学考试数学(理)试题(已下线)专题8.3 空间点、直线、平面之间的位置关系(练)-2021年新高考数学一轮复习讲练测
6 . 已知正方体
,
分别为
和
上的点,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/94f5b982-b9c7-4f35-a4d4-99b5d56a79f3.png?resizew=169)
(1)求证:
;
(2)求证:
三条直线交于一点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de4a54cc7818be87a239f6de5f5d05b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661df691bacf67f20557fef29c1af1eb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/94f5b982-b9c7-4f35-a4d4-99b5d56a79f3.png?resizew=169)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18651187aefe66083be1358eeffa2e55.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55cf07b3d7d4c1c241181ff66a00097e.png)
您最近一年使用:0次
名校
7 . 如图,在三棱锥
中,
,
,
,
,
,
分别为线段
,
上的点,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/7b450a34-8cb3-451c-9f80-d35ae0238ac3.png?resizew=131)
(1)证明:
;
(2)若
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7c18f9db65fcd840b39d7bbd3028c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28597da489dc639750523c83fbc11c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e99aae9fa3f0cd6405461b8db163e8.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aabee6b0c633ffd42f01af2e1fb8a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75dc7cef548ba1fda2b082733baae52.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/7b450a34-8cb3-451c-9f80-d35ae0238ac3.png?resizew=131)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5eb0f9de2f087af7ef18ee9184d88b51.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a69fbd5a9df4c0210604cf1ae2fa7e0c.png)
您最近一年使用:0次
2019-01-23更新
|
508次组卷
|
5卷引用:河南省洛阳市2019届高三下学期第一次月考理科数学试题
名校
8 . 如图,在三棱锥
中,
分别为
,
的中点,点
在
上,且
底面
.
(1)求证:
平面
;
(2)若
,求证:平面
平面
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5db1d2fd912f77923e4c120a7dc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb2e071d4e01107dcf7d95cbb86b415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063510e3c1fb6a7ccc3b8e3e3c7d660e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8e069903c96854ac0544fe6079f106.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6a9cc2bfbe6e294fc68824899dfdf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc6f6dfdbe7d39891c35f67e1a95c7f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/15/6e0d0b92-6b53-47eb-bce7-a59aef9d3401.png?resizew=155)
您最近一年使用:0次
2018-11-18更新
|
2649次组卷
|
4卷引用:河南省周口市淮阳一中2019-2020学年高一上学期第二次月考数学试题
9 . 如图,三棱柱
中,侧面
为菱形,
的中点为
,且
平面
.
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199333376/STEM/0d50fed864b04a2c87f88f57849d061c.png?resizew=365)
(1)证明:
;
(2)若
,
,
,求三棱柱
的高.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce03b310edce42191f9fa75a1c909ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc6184b191e6da43911e701121517e.png)
![](https://img.xkw.com/dksih/QBM/2014/6/23/1571793193443328/1571793199333376/STEM/0d50fed864b04a2c87f88f57849d061c.png?resizew=365)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8db87b41df9d3c83d2810a4265d768d3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7fd49bb962841b4575805030e19add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2e238b2757353026133bbe495645e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
您最近一年使用:0次
2016-12-03更新
|
16889次组卷
|
24卷引用:河南省南阳市油田第一中学2020-2021学年高二上学期第二次月考数学(文)试题
河南省南阳市油田第一中学2020-2021学年高二上学期第二次月考数学(文)试题2014年全国普通高等学校招生统一考试文科数学(新课标Ⅰ)2016-2017学年重庆市万州二中高二文上期中数学试卷四川省成都市第七中学2017届高三三诊模拟数学(文)试题河北省武邑中学2017届高三下学期第四次模拟考试数学(文)试题山东省济南外国语学校三箭分校2018届高三9月月考数学(文)试题四川省遂宁市2017-2018学年高二上学期期末考试数学文试题【全国校级联考】河北省石家庄市行唐县三中、正定县三中、正定县七中2017届高三12月联考数学(文)试卷四川省遂宁市2017-2018学年高二上学期教学水平监测数学(文)试题【全国百强校】河北省唐山一中2019届高三上学期期中考试数学文试题安徽省合肥九中2018-2019学年高二上学期期中考试数学试卷2019年四川省成都市第七中学高三零诊模拟数学(文)试题湖南师范大学附属中学2019-2020学年高三上学期第二次月考数学(文)试卷山西省太原市第五中学2020届高三下学期6月月考数学(文)试题(已下线)专题23 空间点线面的位置关系-十年(2011-2020)高考真题数学分项山西省晋中市祁县中学校2019-2020学年高二上学期10月月考数学试题湖南师大附中2020届高三(上)第二次月考数学(文)试题山西省运城市2020-2021学年高二上学期期末数学(文)试题北师大版(2019) 必修第二册 金榜题名 进阶篇 四十六 直线与平面垂直广东省佛山市顺德区高中联盟2019-2020学年高二上学期第一次联考数学试题贵州省六盘水市第一中学2022届高三下学期模拟测试数学试题(已下线)专题20 立体几何解答题-2内蒙古呼和浩特市第二中学2023届高三下学期2月份测试(一模考前模拟)文科数学试题福建省三明市五县2022-2023学年高一下学期期中联合质检数学试题