名校
解题方法
1 . 已知四面体
中,
为
中点,
为
中点,
为平面
内任一直线,则“直线
与直线
异面”是“
与直线
相交”的( )
![](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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分又不必要条件 |
您最近一年使用:0次
2023-10-05更新
|
527次组卷
|
2卷引用:贵州省2023-2024学年高二上学期阶段性联考(一)数学试题
2 . 如图,正方体
的棱长为1,E、F、G分别为AB、
、AD的中点,下列说法错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/10/b5bb3a70-6b54-4085-84be-677b8efc230e.png?resizew=154)
A.直线![]() ![]() ![]() | B.![]() |
C.三棱锥![]() ![]() | D.直线AC和平面![]() |
您最近一年使用:0次
解题方法
3 . 如图,在四面体
中,以下说法正确的有:( )
![](https://img.xkw.com/dksih/QBM/2022/10/19/3090833633091584/3095167175696384/STEM/a8e6aa2c34f74fa5a0aa2cbea598a34b.png?resizew=219)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://img.xkw.com/dksih/QBM/2022/10/19/3090833633091584/3095167175696384/STEM/a8e6aa2c34f74fa5a0aa2cbea598a34b.png?resizew=219)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若四面体其三组对棱的中点间的距离都相等,则这个四面体相对的棱两两互相垂直 |
您最近一年使用:0次
4 . 如图,在正方体
中,
,
,
,
分别为
,
,
,
的中点,
为棱
上一点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/f4979c64-e26b-4b43-8592-0df11e910099.png?resizew=176)
![](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/a0ed1ec316bc54c37c4286c208f55667.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/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/1/f4979c64-e26b-4b43-8592-0df11e910099.png?resizew=176)
A.直线![]() ![]() |
B.直线![]() ![]() ![]() |
C.三棱锥![]() ![]() |
D.存在点![]() ![]() ![]() |
您最近一年使用:0次
5 . 在正方体
中,
分别为
的中点,则下列判断错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb731aabf4ff5c1bfd8c64715bc3dea.png)
A.![]() ![]() | B.平面![]() ![]() |
C.平面![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2022-07-22更新
|
288次组卷
|
2卷引用:贵州省黔西南州2021-2022学年高二下学期期末质量检测数学(文)试题
名校
解题方法
6 . 如图,已知
,
分别是正方体
的棱
和
的中点,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/35a44609-7e93-4057-ba62-57aea4a62f9f.png?resizew=134)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/24/35a44609-7e93-4057-ba62-57aea4a62f9f.png?resizew=134)
A.![]() ![]() |
B.![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.二面角![]() ![]() |
您最近一年使用:0次
2022-09-06更新
|
1556次组卷
|
5卷引用:贵州省贵阳清镇北大培文学校2022-2023学年高二上学期期中考试数学试题
贵州省贵阳清镇北大培文学校2022-2023学年高二上学期期中考试数学试题浙江省湖州市吴兴高级中学2021-2022学年高二上学期10月阶段性测试数学试题黑龙江省哈尔滨市第二十四中学校2022-2023学年高二上学期10月月考数学试题(已下线)2.4.3 向量与夹角(同步练习)-【素养提升—课时练】2022-2023学年高二数学湘教版选择性必修第二册检测(基础篇)陕西省咸阳市武功县普集高级中学2023-2024学年高二上学期10月第一次月考数学试题
解题方法
7 . 已知
为正方体
底面
的中心,
为棱
上动点,
,
为
的中点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](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/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f7ba05c54b3de1f4378f7c8eb58328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028488a09ad3b412fc4fcd1128d593cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b46ed384a311245098a438820ab8717d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
A.平面![]() ![]() |
B.过![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2022-05-26更新
|
646次组卷
|
3卷引用:贵州省铜仁市江口中学2022-2023学年高二上学期9月月考数学试题
解题方法
8 . 如图,正方体
的棱长为1,线段
上有两个动点
,
,且
,现有如下四个结论:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/ed5cbbd6-708b-4639-b546-1de98f09e148.png?resizew=181)
①延长线段
和
必相交于一点;
②
;
③平面
平面
;
④三棱锥
的体积为定值.
其中正确结论的序号是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1461d297be1c046856b662e84553aaa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/ed5cbbd6-708b-4639-b546-1de98f09e148.png?resizew=181)
①延长线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/589ddae20626f9aaac616d2a3b5d95bd.png)
③平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0656936257a9fad7efc2f41b57322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7935fe3125f247b7bea4f065ce9ad985.png)
④三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc3bf74119692ac98eb24fcfa2a3f9f.png)
其中正确结论的序号是
您最近一年使用:0次
9 . 对于空间中任一直线
与任一平面
,在平面
内必存在一条直线
,使得
与
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.平行 | B.垂直 | C.异面 | D.相交 |
您最近一年使用:0次
名校
10 . 以下四个正方体中,点M为四等分点,其余各点为顶点或者中点,其中四点共面的有____ .
①
②![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/100afd54-9f4b-4352-b8ca-10a2914b47de.png?resizew=121)
③
④
①
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/63c71ea4-6369-461b-841e-f1d77eee9bfb.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/100afd54-9f4b-4352-b8ca-10a2914b47de.png?resizew=121)
③
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/17876bf2-ca8c-419c-9abd-a6e80ae34bcc.png?resizew=121)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/18/132915d3-7cbe-424b-8483-39e6a56ed37e.png?resizew=120)
您最近一年使用:0次