名校
1 . 已知向量
,
,则正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d52d99fff1fcab88160122d064f899ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc8237b355d3621d9151b2270708605.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2 . 已知空间向量
,则向量
在向量
上的投影向量是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a193f336342704840f3de47dac8d863a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
您最近一年使用:0次
23-24高二上·上海浦东新·阶段练习
名校
解题方法
3 . 设平面向量
,
满足
,
,则
在
方向上的数量投影为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71be25a14972cb0ecabc6301cbd17f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c36ad7ba6bc6c34f8c815973aab1890.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
您最近一年使用:0次
4 . 已知向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22249dd883332a917ec68eaf7dd5ea23.png)
(1)向量
在向量
上的投影向量的坐标;
(2)求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf9a2163b297ef85e874484a78b2064.png)
(3)若
与
垂直,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22249dd883332a917ec68eaf7dd5ea23.png)
(1)向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf9a2163b297ef85e874484a78b2064.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40436543cc51f42b5b5d93e55a407ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7d7026ae519718c212993924cef81f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
5 . 已知向量
,向量
.求:
(1)
及
;
(2)
的最小值为
,求t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d36e9d5a62800a53e2b2048a5d592d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26eeeaf3e37c456092b59bb9e4fd6738.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecf6afd87d1e0747546bac4430147db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e8b4bbd2f9912adfc9864c0e1e76a9d.png)
您最近一年使用:0次
2023-08-08更新
|
299次组卷
|
3卷引用:天津市南开区南开中学2024届高三上学期统练6数学试题
6 . 已知
,其中
.满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7590a22611f3935d8e32eac956c2a4c1.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a82a6af09fba3744955ce56b3ab846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fff6e7e2b9f2b68b1647f6350b98dc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad21a359bfe10f76cea0edd36ac30b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7590a22611f3935d8e32eac956c2a4c1.png)
您最近一年使用:0次
解题方法
7 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bcc00c0c0af3cc507d6aa2df888617.png)
(1)求
;
(2)若
,求
的值;
(3)若
与
的夹角为锐角,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14bcc00c0c0af3cc507d6aa2df888617.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c75a15198f2465863fd46e0794d0bf2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b12876e88ff83918e4a738a8b290a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d5d06c8ba359e2f95bd6abbeb9d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-08-06更新
|
621次组卷
|
2卷引用:天津市实验中学滨海学校2022-2023学年高一下学期期中数学试题
名校
8 . 已知向量
,
.
(1)若
,求
的值;
(2)若
,
①求
;
②求
与
的夹角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c9bca7fed3285ad38dea181e1afa7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e619ba9d486016296e1b153d998ea50b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f7d08d10754ff3903d139768f40530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7466f3ffa97e826620e45cd4134dea.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16111d1425b87ba82ea6a706d1dfb3ef.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d13e095913bd3862fcff8a3fd876520e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
名校
9 . 向量
在向量
方向上的投影向量是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45419685fbeaedc8bfe8e965de8f44c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da90fc78fb4bda5d87f53ed9ac25dbd8.png)
您最近一年使用:0次
2023-07-12更新
|
659次组卷
|
6卷引用:天津市新四区示范校2022-2023学年高二下学期期末联考数学试题
天津市新四区示范校2022-2023学年高二下学期期末联考数学试题浙江省衢州市江山中学2023-2024学年高二上学期10月阶段性检测数学试题(已下线)专题02 解三角形、平面向量、复数和不等式(四大题型)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(天津专用)上海市浦东新区上海实验学校2024届高三下学期3月月考数学试题江苏省无锡市锡南实验中学2023-2024学年高一下学期期中考试数学试卷 上海市实验学校2023-2024学年高三3月数学练习试卷
名校
10 . 已知向量
,
,则
在
方向上的投影向量为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5463fb0b7d03747aa4d680620ca81be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f99645c5aa5800b219c4d9f0baebcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
您最近一年使用:0次
2023-06-29更新
|
679次组卷
|
2卷引用:天津市南开区2022-2023学年高一下学期6月阶段性质量检测(期末)数学试题