1 . 在三棱锥
中,
分别是线段
上的点,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bf460991ffe78b973661c67860ee7a.png)
平面
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64993364a8a9a837263c72e0d6ea3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7817a0fadc724e02db370d27612fa04a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50bf460991ffe78b973661c67860ee7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
A.四边形![]() |
B.三棱锥![]() ![]() |
C.![]() |
D.四边形![]() ![]() |
您最近一年使用:0次
解题方法
2 . 如图,等边三角形
与正方形
所在平面垂直,且
,
,
与
的交点为D,
平面
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/25/2a69bbaf-e76a-420a-b9cb-c33eaa8e0304.png?resizew=170)
(1)求线段
的长度;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d887690e3ad82fbf00d4ab3474a1df51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd4c85bb98a2a0afddd7ed92578ad2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5edfe97aeab0cf16b40fa9d2e15f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8838d111d7dd1b01302ad1e8aedfbd33.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/25/2a69bbaf-e76a-420a-b9cb-c33eaa8e0304.png?resizew=170)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c81ee1a0f7aca14244931128720295f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8838d111d7dd1b01302ad1e8aedfbd33.png)
您最近一年使用:0次
2024-02-21更新
|
391次组卷
|
2卷引用:广东省揭阳市普宁市华美实验学校2023-2024学年高二下学期第一次阶段考试数学试题
名校
3 . 如图,在四棱锥
中,底面
是矩形,侧面
底面
为线段
的中点,过
三点的平面与线段
交于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/3457b1d5-105d-4dbb-be6b-7a35c7e95864.png?resizew=188)
(1)证明:
;
(2)若四棱锥
的体积为
,则在线段
上是否存在点
,使得二面角
的正弦值为
?若存在,求
的值;若不存在,请说明理由.
![](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/93edc7bb513f40a89173121c8570cd65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23d11e19c84255eb0431415c2dec553d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14af8de7575341e02ee92cd0e33312b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8bb7451bce637c6171cf344eb9de43e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/18/3457b1d5-105d-4dbb-be6b-7a35c7e95864.png?resizew=188)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1a1fd2fc33e89f357cef772ff6cd0e.png)
(2)若四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a155d285d8d487adf9fac93a48bb0700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6729fb0c5e5e9549035590144b73144.png)
您最近一年使用:0次
4 . 如图所示为正八面体的展开图,该几何体的8个表面都是边长为1的等边三角形,在该几何体中,P为直线DE上的动点,则P到直线AB距离的最小值为( )
![](https://img.xkw.com/dksih/QBM/2024/2/1/3423553538367488/3434938888060928/STEM/787dfca9862e4b8f8d36be72aa932b0c.png?resizew=141)
![](https://img.xkw.com/dksih/QBM/2024/2/1/3423553538367488/3434938888060928/STEM/787dfca9862e4b8f8d36be72aa932b0c.png?resizew=141)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
5 . 如图,在棱长为1的正方体
中,点E是
的中点
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/7af6399d-5775-4fc3-9b3e-aac48e996c0a.png?resizew=154)
(1)证明:
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3da8c338342e38c9aa3f274c053fd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/020ebe1219437129358b986eb9e70bbf.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/17/7af6399d-5775-4fc3-9b3e-aac48e996c0a.png?resizew=154)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c970b5da22186569578b9b234bdd3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd148d264bc9043396f777523e907aa.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c970b5da22186569578b9b234bdd3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
您最近一年使用:0次
6 . 如图,在多面体ABCDEF中,四边形CDEF为正方形,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/68e49957-818c-4935-93d3-a14074e650cd.png?resizew=174)
(1)设平面
平面
,证明:
;
(2)直线DE上是否存在点G,使得DE⊥平面ABG?若存在,确定G的位置并说明理由;
(3)若
,
,求平面BFG与平面DEA夹角的余弦的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508f6bca26164dbf757f4e2681ea2925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c91baecb97fadd4f8ab49e6effcbc04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343353f850646215dc568fb440fcc0e0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/15/68e49957-818c-4935-93d3-a14074e650cd.png?resizew=174)
(1)设平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64899adb2cc8913ed7d511eade821422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19fccb51073a0dbb6c7c36c3c375e6d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ffc0e9b3071d12bed38396f05cf5b8.png)
(2)直线DE上是否存在点G,使得DE⊥平面ABG?若存在,确定G的位置并说明理由;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c595984baab06bcab7279f19c5d84aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79296cd4046a71e163a8f3e647a176ae.png)
您最近一年使用:0次
解题方法
7 . 已知直线
和平面
,且
,则“直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
直线
”是“直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
平面
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e076b91a9178217532e11c496400e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024高二·全国·专题练习
解题方法
8 . 下列命题中,正确命题的个数是( )
①如果
,
是两条平行直线,那么
平行于经过
的任何一个平面;
②如果直线
和平面
满足
,那么
与平面
内的任何一条直线平行;
③如果直线
,
满足
,
,则
;
④如果直线
,
和平面
满足
,
,
,那么
;
⑤如果平面
的同侧有两点
,
到平面
的距离相等,则
.
①如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
②如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
③如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b330d69a949d9b55f4b6f18f47e0a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
④如果直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72fbc714c63815dad9a27418f6492f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d6a7aec04e1d5768ef830b534460a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6784912a159b0be1bf836f985b0c2794.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b330d69a949d9b55f4b6f18f47e0a37.png)
⑤如果平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e16cb55efadc7972d48b5b021261dc.png)
A.0 | B.1 | C.2 | D.3 |
您最近一年使用:0次
名校
解题方法
9 .
是两个平面,
是两条直线,有下列四个命题其中正确的命题有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
A.如果![]() ![]() |
B.如果![]() ![]() |
C.如果![]() ![]() |
D.如果![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-01-25更新
|
240次组卷
|
37卷引用:湖北省鄂州市部分高中联考协作体2020-2021学年高二上学期期中数学试题
湖北省鄂州市部分高中联考协作体2020-2021学年高二上学期期中数学试题湖北省恩施州巴东县第二高级中学2020-2021学年高二上学期期中数学试题重庆市三峡名校联盟2020-2021学年高二上学期联考数学试题黑龙江省大庆中学2021-2022学年高二上学期开学考试数学试题湖北省东南联盟2021-2022学年高二上学期10月联考数学试题黑龙江省大庆市让胡路区大庆中学2021-2022学年高二上学期数学开学考试试题山西省朔州市怀仁市第一中学校、大地学校高中部2023-2024学年高二上学期第一次月考数学试题海南省白沙县海南中学白沙学校2023-2024学年高二上学期期末考试数学试题2020届山东省泰安市高三模拟考试(一模)数学试题2020届山东省泰安市高三一轮检测数学试题山东省济宁市嘉祥县第一中学2019-2020学年高一6月月考数学试题(已下线)【新教材精创】11.4.1直线与平面垂直(第2课时)练习(2)(已下线)专题九 立体几何与空间向量-2020山东模拟题分类汇编山东省实验中学2020-2021学年高三第一次诊断考试(10月)数学试题山东省菏泽市成武一中2020届高三数学第二次模拟试题(已下线)【新东方】杭州新东方高中数学试卷398(已下线)2021届高三数学新高考“8+4+4”小题狂练(13)湖北省随州市第一中学2020-2021学年高三上学期11月月考数学试题云南省昆明市第一中学2021届高三第六次复习检测数学(文)试题云南省昆明市第一中学2021届高三第六次复习检测(2月月考)数学(理)试题(已下线)必刷卷03-2021年高考数学(理)考前信息必刷卷(新课标卷)(已下线)必刷卷03-2021年高考数学(文)考前信息必刷卷(新课标卷)(已下线)2021届高三高考数学适应性测试仿真系列卷四(江苏等八省新高考地区专用)(已下线)2021届高三高考数学适应性测试仿真系列卷一(江苏等八省新高考地区专用)河北省衡水市五校2021届高三下学期联考(一)数学试题第13章:立体几何初步 - 基本图形及位置关系(B卷提升卷)- 2020-2021学年高一数学必修第二册同步单元AB卷(新教材苏教版)(已下线)专题30 空间中直线、平面平行位置关系的证明方法-学会解题之高三数学万能解题模板【2022版】(已下线)专题31 空间中直线、平面垂直位置关系的证明方法-学会解题之高三数学万能解题模板【2022版】江苏省南京市第五中学2021-2022学年高三上学期10月月考数学试题江苏省连云港高级中学2021-2022学年高一下学期第二次阶段测试数学试题重庆市实验中学2021-2022学年高一下学期期末复习(一)数学试题江苏省泰州中学2022-2023学年高三上学期期初调研考试数学试题(已下线)易错点08 立体几何河南省开封市五校2022-2023学年高一下学期期末联考数学试题广东省罗定中学城东学校2023届高三上学期9月调研数学试题(已下线)专题04空间点、直线、平面的位置关系与空间直线、平面的平行-期末真题分类汇编(新高考专用)甘肃省武威市2023-2024学年高一下学期6月月考数学试题
名校
解题方法
10 . 如图,在四棱锥
中,
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1573ea134172e6f4aab6ebd047f29757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
为棱
的中点,平面
与棱
相交于点
,且
,再从下列两个条件中选择一个作为已知.
条件①:
;条件②:
.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
;
(2)求点
到平面
的距离;
(3)已知点
在棱
上,直线
与平面
所成角的正弦值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca5dd496ee0c1170ef6dcc48266ee444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1573ea134172e6f4aab6ebd047f29757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0be0f7a9612bf6b40139609e3d0aac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422210c777ac0d625bbd81cc7601bf9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7901ce9a29748df90f3996d24df188f.png)
条件①:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af2c4b7601274731a0f8140c99762501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a15a004f7d47ed595f063e60075223a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d70fb53a3bc46be3e6365f5ed26496.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d70fb53a3bc46be3e6365f5ed26496.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519ba613bf121a2c1bc28c948266d74.png)
您最近一年使用:0次
2024-01-22更新
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393次组卷
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2卷引用:北京市西城区2023-2024学年高二上学期期末考试数学试卷