名校
解题方法
1 . 已知向量
,
.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80d769ab21af5365d3c00dc617375ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ddffa662dfe68c43cf7df74d64060e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
A.![]() | B.![]() | C.3 | D.6 |
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2024-05-07更新
|
1931次组卷
|
4卷引用:湖北省武汉市第六中学2023-2024学年高一下学期6月月考数学试卷
名校
2 . 已知向量
,则下列命题为真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b972398724909e2a3a5b250275eea2c8.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.![]() |
D.若![]() ![]() |
您最近一年使用:0次
2024-04-17更新
|
593次组卷
|
6卷引用:湖北省武汉市2024届高中毕业班二月调研考试数学试题
3 . 已知向量
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96c70b524a990da5010f260fcccdbbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aee23ed0cc6e2da3760fffe4b977d6a.png)
A.若![]() ![]() | B.![]() |
C.存在![]() ![]() | D.当![]() ![]() ![]() ![]() |
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4 . 下列说法中正确的是( )
A.已知![]() ![]() ![]() ![]() ![]() ![]() |
B.已知点![]() ![]() ![]() ![]() ![]() |
C.已知点![]() ![]() ![]() ![]() ![]() |
D.若平面向量![]() ![]() ![]() ![]() ![]() |
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解题方法
5 . 在
中,内角
的对边分别为
,若______,
在以下条件中任选一个:①向量
,
,且
;②向量
,
,且
,并解答下列问题:
(1)求角
;
(2)若
的外接圆的半径为
,且
,求
的面积.
![](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/76f0649064a085fb74c997fb507a9b6d.png)
在以下条件中任选一个:①向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf2a65114681bfe5358057182e28a04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f5016b43fc318881fff56540b91659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc9209ef1481215432dc798e9189d873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7426e927be203401a7ea80f7e35e3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbb9c8c12ab03ded562754a10bccc95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3aa6c6a900096b3dd79cb32ccf05e9f.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc7407d82d6e55b969d34e937ce36f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
6 . 已知向量
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767c6bf8c04b7baad319f6ba38b0efb9.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995cd88cf75ac10fcb6a16b9945e9e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13649cba7128ac8ec908fe28e38b4545.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/767c6bf8c04b7baad319f6ba38b0efb9.png)
您最近一年使用:0次
解题方法
7 . 已知向量
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7dc94421f8c5f69dc9c3215a341bb7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ead6131bc303d8a5550b3b1ff48b2acc.png)
A.-4 | B.-3 | C.-1 | D.![]() |
您最近一年使用:0次
名校
8 . 已知向量
,
,则下列说法正确的是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f60453488ea71a6b6bd24e7db81be2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ba250586a8e5d84e212ec03207b6e34.png)
A.若![]() ![]() | B.若![]() ![]() ![]() |
C.![]() ![]() | D.存在![]() ![]() |
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2023-07-01更新
|
470次组卷
|
2卷引用:湖北省武汉市5G联合体2022-2023学年高一下学期期末联考数学试题
名校
解题方法
9 . 已知
,
.
(1)当
为何值时,
与
垂直;
(2)当
为何值时,
与
的夹角为锐角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8e24205bc410c881a04169f70d608e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0b62bc3aa312f8d5854764549681852.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b625b8d3178dd0ea451a80a63082c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b625b8d3178dd0ea451a80a63082c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
您最近一年使用:0次
名校
10 . 设
是边长为4的正三角形,点
、
、
四等分线段
(如图所示).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/f394206e-a5bb-4bc9-9cd7-0943c537d1fe.png?resizew=166)
(1)求
的值;
(2)
为线段
上一点,若
,求实数
的值;
(3)
在边
的何处时,
取得最小值,并求出此最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/25/f394206e-a5bb-4bc9-9cd7-0943c537d1fe.png?resizew=166)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f3c6cde5b7ce206cb82be06bed1726.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aba947934b05caae8b0c1fb1a522a0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d492f57701fcf019a9038effe72c3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7aaa871ceb78e5b80b531a7cf4f1c9.png)
您最近一年使用:0次
2023-04-21更新
|
956次组卷
|
3卷引用:湖北省武汉市华中师范大学第一附属中学2022-2023学年高一下学期5月月考数学试题