解题方法
1 . 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 |
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2 . 在平行四边形
中,
,
,
,
分别为
,
的中点,将
沿直线
折起,构成如图所示的四棱锥
,
为
的中点,则下列说法不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc28e69c1ba0aac981256887f7dfa94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d185e7050dcf0d8c3a5532e44c68bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff5969b17ef2f4d4798e7524bbd86d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17288da70b31823293794cb289e3123.png)
A.平面![]() ![]() |
B.四棱锥![]() ![]() |
C.无论如何折叠都无法满足![]() |
D.三棱锥![]() ![]() |
您最近一年使用:0次
2024-02-08更新
|
923次组卷
|
5卷引用:山西省临汾市2024届高考考前适应性训练考试(一)数学试题
山西省临汾市2024届高考考前适应性训练考试(一)数学试题(已下线)第5讲:立体几何中的动态问题【练】(已下线)信息必刷卷02宁夏回族自治区银川一中2024届高三第二次模拟考试文科数学试题重庆市渝北中学校2023-2024学年高三下学期5月月考质量监测数学试题
3 . 如图所示,平行六面体
中,
,以顶点
为端点的三条棱长都为2,且
,则下列结论正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/ae205dbd-6d96-4343-af3c-40820e7945ec.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9a4a5e10517fe006882ceb00f9f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1f3cea6eac9555f70307e65ab35b408.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/ae205dbd-6d96-4343-af3c-40820e7945ec.png?resizew=174)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次
4 . 已知
表示两条直线,
表示平面,下列命题中正确的有( )
①若
,且
,则
;
②若
相交且都在平面
外,
,则
;
③若
,则
;
④若
,且
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f35585ccbf6e0e54f811c26fa74a3ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516d9c67a3cef2ab0807e6faa4d49fa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb2b451464d8f4ff68ef7a33f2233c1.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a63d4bdb908ff8899a58572ccbf9fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb2b451464d8f4ff68ef7a33f2233c1.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38eb37f6d0d7317d38946acfc0a2144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb2b451464d8f4ff68ef7a33f2233c1.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7de6539afe36ae5e61d1fde863911e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f054ca668db2604df82a747e3466f018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb2b451464d8f4ff68ef7a33f2233c1.png)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
2024-02-04更新
|
2156次组卷
|
8卷引用:河南省洛阳市第八高级中学2022-2023学年高一下学期4月月考数学试题
河南省洛阳市第八高级中学2022-2023学年高一下学期4月月考数学试题江西省南昌市第二中学2024届高三“九省联考”考后适应性测试数学试题(三)安徽省合肥一六八中学2024届高三“九省联考”考后适应性测试数学试题(二)(已下线)黄金卷04(2024新题型)(已下线)13.2.3 直线与平面的位置关系(1)-【帮课堂】(苏教版2019必修第二册)河南省信阳市新县高级中学2024届高三考前第一次适应性考试数学试题(已下线)专题3.5空间直线、平面的平行-重难点突破及混淆易错规避(人教A版2019必修第二册)(已下线)专题07 立体几何小题常考题型归类-期末考点大串讲(人教B版2019必修第四册)
2024·全国·模拟预测
解题方法
5 . 设P为圆锥的顶点,O为圆锥底面圆的圆心,点M在线段PO上,且
,
是底面圆的内接正三角形,AD为底面圆的直径,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba9e27786cf5f137cfbc7e9837a0f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634e91a3d04eb1b522444cb2378c05da.png)
A.![]() |
B.直线PD与OC所成角的余弦值为![]() |
C.在圆锥侧面上,点A到PD中点的最短距离为![]() |
D.三棱锥![]() ![]() |
您最近一年使用:0次
6 . 给出下列4个命题,其中正确的命题是( )
①垂直于同一直线的两个平面平行;②垂直于同一平面的两个平面平行;
③平行于同一直线的两个平面平行;④平行于同一平面的两个平面平行.
①垂直于同一直线的两个平面平行;②垂直于同一平面的两个平面平行;
③平行于同一直线的两个平面平行;④平行于同一平面的两个平面平行.
A.①② | B.③④ | C.②③ | D.①④ |
您最近一年使用:0次
2024-02-03更新
|
228次组卷
|
3卷引用:【名校面对面】2022-2023学年高三大联考(3月)文数试题
【名校面对面】2022-2023学年高三大联考(3月)文数试题【名校面对面】2022-2023学年高三大联考(3月)理数试题(已下线)专题19 平面与平面平行-《重难点题型·高分突破》(人教A版2019必修第二册)
名校
解题方法
7 . 如图,在棱长为2的正方体
中,点M在线段
(不包含端点)上,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
A.点![]() ![]() ![]() |
B.直线![]() ![]() |
C.三棱锥![]() |
D.异面直线![]() ![]() |
您最近一年使用:0次
2024-02-03更新
|
274次组卷
|
2卷引用:湖北省武汉市常青联合体2023-2024学年高二上学期期末考试数学试题
8 . 已知正方体
的棱长为1,点
,
分别为线段
,
的中点,点
满足
,点
为棱
(包含端点)上的动点,则下列说法正确的是( )
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c09eec4e14a861af83d7828797d176.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ee8456443402a25b1e25d35ff7e1c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cabaaf14632607539386bf88fcab134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
A.平面![]() |
B.二面角![]() ![]() |
C.存在![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
9 . 已知正方体
的棱长为a,长为定值的线段
在棱
上移动(
),若P是
上的定点,Q是
上的动点,则四面体
的体积是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/732f363ab2ff19190ac091f24b34372b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3534df651f0a681bc905795b26833107.png)
A.有最小值的一个变量 | B.有最大值的一个变量 |
C.没有最值的一个变量 | D.是一个常量 |
您最近一年使用:0次
2024高二·全国·专题练习
解题方法
10 . 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