名校
解题方法
1 . 已知向量
.
(1)若
,求
的值;
(2)若
.
①求
与
的夹角
的余弦值;
②求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376bf07c9fa02712d8661de95b59b44a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60e2180220297601db28850e5122807.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a00212b47f47f073833c3001b3463ac7.png)
您最近一年使用:0次
2024-06-08更新
|
1128次组卷
|
2卷引用:天津市第四十七中学2023-2024学年高一下学期5月期中考试数学试题
名校
2 . 已知向量
,
.
(1)若
,求
;
(2)若向量
,
,求
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da6bb2d6d4d775cfa44d2de1e74eb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5a6d96e46431eb0d20b531facda401.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ab1264c99d82d2f2112ddbf54f13493.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab24d183a2259e6c5bc9fe807db99255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f66aa68471878107e7c20d9cf8ebea2.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
2024-06-08更新
|
909次组卷
|
3卷引用:广东省佛山市七校2023-2024学年高一下学期5月联考数学试卷
名校
解题方法
3 . 设
的内角
所对的边分别是
且向量
满足
.
(1)求A;
(2)若
,求BC边上的高
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304c72f61e123c34db3e4eec41d1e5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b907456faac5d0995bd73f7da94c9b8.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267930e3240f9e164c01fc72e9be3ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
您最近一年使用:0次
2024-06-07更新
|
1450次组卷
|
2卷引用:陕西省西安市第一中学2024届高三下学期模拟考试数学(文科)试题
2024高一下·全国·专题练习
4 . 已知向量
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6efdfd23349c53aa54464f380344cb.png)
__ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef88ec04e07d1f0ebc5bcb5272cd0749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfe4aa7751ac7cdaf57eeec30291d45e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82301504dd83f0140fd08ada1d419225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a6efdfd23349c53aa54464f380344cb.png)
您最近一年使用:0次
名校
5 . 设
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a34d2fe7d43ec25b59737115eafaebc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a950eeebd15f01acf65ea8ebdca944a.png)
A.![]() | B.![]() |
C.若![]() ![]() | D.向量![]() ![]() ![]() |
您最近一年使用:0次
2024-06-07更新
|
232次组卷
|
2卷引用:陕西省西安市铁一中学国际部2023-2024学年高一下学期第三月考数学试题
名校
解题方法
6 . 已知平面向量
,
,若
与
共线,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fdb92270a8002338a5c22ec929c25b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1393ab37eff1d1311a3bd5e0f0d036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.2 | B.![]() | C.8 | D.![]() |
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名校
解题方法
7 . 已知向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8e5f244c0b9a2fe2734f728cb1f3a17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914feec2aa1aebd20c28bfdb97fe771d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/460e5ba67828c57daf2edb497fb52e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.4或2 | B.![]() | C.2 | D.2或![]() |
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名校
8 . 已知向量
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6208cbf9f9ca96d25ac39d654553764.png)
(1)若
,求
的值;
(2)若
,求向量
在向量
上的投影向量的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/774909e062a8c06f4f6ba5c042714863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6208cbf9f9ca96d25ac39d654553764.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c614d6e051a673022d30c281cdec20c2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b12fe9a4054ffbacca1b995751969a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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解题方法
9 . 已知
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7074b838ae0e823bc469b85b6f73476b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3183d32b9c31d5c6b6801f73c2b522de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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名校
解题方法
10 . 已知向量
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d74192cafb516d89228dc3bb63392fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af554b169138c17d79ce9656b68ab27c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次