名校
1 . 直线
的一个方向向量为
,平面
的一个法向量为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0109eeedaad9fc4bca9050ada0cbf16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97bceae71d4d7e5ed1ec59c8be4bb69.png)
A.![]() | B.![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2023-12-21更新
|
319次组卷
|
3卷引用:云南省临沧市沧源佤族自治县民族中学2023-2024学年高二上学期期末模拟数学试题
2 . 如图,平行六面体
中,
分别为
的中点.若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/7c5fcebd-ec3c-4fb8-b8ff-1a278e911185.png?resizew=181)
![](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/d2695585c5bccde7f9b49d92ca0d3916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f2c20ed8f6cd76e7f6c4e49719a99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3369faf74fe6db9a807e50257f0f3175.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/7c5fcebd-ec3c-4fb8-b8ff-1a278e911185.png?resizew=181)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 在矩形
中,
,现将
沿对角线
折起,得到四面体
,若异面直线
与
所成角为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0c298f06cbc909a3b06d04d354b7b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2587e6d16d316d57e5e6836413489bec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4357d5744046d4d44abb09e1ee35fcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b0c298f06cbc909a3b06d04d354b7b.png)
您最近一年使用:0次
4 . 如图,已知在平行六面体
中,底面
是边长为
的菱形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/61cca587-3611-4c01-9f48-704779415827.png?resizew=172)
(1)求线段
的长;
(2)求异面直线
与
所成角的大小.
![](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/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/701d129024368b9eea7b60aa333c3387.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/61cca587-3611-4c01-9f48-704779415827.png?resizew=172)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
(2)求异面直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
您最近一年使用:0次
5 . 已知点
,则向量
在向量
上的投影向量的模为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/739550bfff67c29e6c31ba7744e94f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
您最近一年使用:0次
6 . 已知空间向量
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376d5c9dae7e565f20fe77b084786d48.png)
A.![]() |
B.向量![]() ![]() |
C.向量![]() ![]() ![]() |
D.向量![]() ![]() ![]() |
您最近一年使用:0次
7 . 已知向量
,若
共面,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b189b00e5dd92cde97af5c52a31012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
您最近一年使用:0次
解题方法
8 . 已知直线
过点
,且方向向量为
,则点
到
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6dcd362a44588747e88b206e7c5ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af25baf636a194a6c344b560f49bf97c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c65786ea906e515b82ba57712291d8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
9 . 若
构成空间的一个基底,则下列向量不共面的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed18a92338c7578c18a5ba3a2ae1ed4.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
10 . 已知
是空间向量的单位正交基底,
是空间向量的另一个基底,若向量
在基底
下的坐标是
,则向量
在基底
下的坐标是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed18a92338c7578c18a5ba3a2ae1ed4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339cce6a2b325e6243344d6e4aad37e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4478fcaef66e8a6a96925ce12d0f8e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/339cce6a2b325e6243344d6e4aad37e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf04a243d5f5305102ed4c63ab69ed5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4478fcaef66e8a6a96925ce12d0f8e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed18a92338c7578c18a5ba3a2ae1ed4.png)
您最近一年使用:0次