1 . 已知
是同一平面内的三个向量,
.
(1)若
为单位向量,且
,求
的坐标;
(2)若
,且
与
垂直,求
与![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
夹角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b981b38133d5d65060dd8ff4d65a66be.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dd43c3c9a578b91fe832c4c2477103c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73a0b19e69be46452425916a0fcb49c9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7a09bede8bcb942fc0a17b8300cfa47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67a5673958e175b00200a75e645c73c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://img.xkw.com/dksih/QBM/2024/4/25/3483210128482304/3523740179324928/STEM/c75277594e5341938380bceb0f145b6a.png?resizew=14)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
2 . 已知向量
,
,若
,
的夹角为钝角,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/303e0f7b92a9fb0bca726e1de9d9df98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d830f1864615e29ce030b533bed3834.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
3 . 下列说法中错误的为( )
A.已知![]() ![]() ![]() ![]() ![]() |
B.已知![]() ![]() |
C.若 ![]() ![]() ![]() |
D.若非零![]() ![]() ![]() ![]() ![]() ![]() |
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4 . 已知
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1a148eff630abafe2e97d2d6628ec5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b5fffd4d94af8dfef6a55471a959fd.png)
A.![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.若向量![]() ![]() ![]() ![]() |
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解题方法
5 . 已知
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0812ea92afd60233426521798f5ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7057e36180d6911609108d542e558181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ec7c99202b44d5d65239f65f155b6f.png)
A.2 | B.![]() | C.![]() | D.![]() |
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名校
6 . 已知向量
,
,则“
”是“
和
的夹角是锐角”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3c8f3a0ebe2ba858d21357c9ec3217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22541e15379c71d6293b38ee1118fd96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a31acb92a54dc541176a3eb03c32697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分又不必要条件 |
您最近一年使用:0次
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|
432次组卷
|
2卷引用:江苏省苏州市2024届高三下学期第三次模拟检测数学试卷
7 . 设
为实数,若向量
.
(1)若
与
垂直,求
的值;
(2)当
为何值时,
三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0192561f4ead4f95871b50f2c2a8d5b7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c0f0a6242f7b1313fd149d797ef62e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
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8 . 设
为
的内角,向量
,向量
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6fa747c6f517302ce91c8e7a846fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98317e669d2483e4898c2e171a8106d4.png)
A.对任意![]() | B.存在![]() ![]() |
C.存在![]() ![]() | D.对任意![]() ![]() |
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名校
9 . 已知向量
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1d69e851b0080e8f162e1f3b17e552c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e331d462d9c49348f44e56b626e18b6.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() |
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名校
解题方法
10 . 已知
若
则x=_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194748b2b8bd9f6b7af383577245fd4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44550cf9a8d26d7ba494e8111e487c74.png)
您最近一年使用:0次
7日内更新
|
309次组卷
|
3卷引用:专题01 平面向量(2)-期末考点大串讲(苏教版(2019))
(已下线)专题01 平面向量(2)-期末考点大串讲(苏教版(2019))广东省潮州市松昌中学2023-2024学年高一下学期期中考试数学试题上海市闵行中学2023-2024学年高一下学期期末考试数学试卷