解题方法
1 . 已知向量
,
,
,且
,
.
(1)求向量
、
;
(2)若
,
,求向量
,
的夹角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e041dbcd07a7e1ed1bf521229528101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1261612ea79fc92aa6587a67f2f8bb04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543a1647017e29cf3dfd48070fd0a645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a36228810d0c2f6c6e53584c1ac176b.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a2f284efe454f55fad323ef3d8b475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a770d34855164b0e3f291120e60fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9d806f27eecf5aee1e75bf35acbcd4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/964c64c610af9274ab57b28edc2f3c45.png)
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解题方法
2 . 已知向量
,
.
(1)若
,求
;
(2)设
,若
,当
取最小值时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ef4988b025cdf296ea81d7ef05f404.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efcbb6ac1a6dd97067ab36e073968df0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7d8b42c85013ba07ba18e5e46d8716.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b0f70326b0454f931ba81dbb4519a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d15da17c1b37b3425b24e3917c2151.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
3 . 若向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1748624e1f8460959a827fa4b55bff34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1748624e1f8460959a827fa4b55bff34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/638537c0a30676c73fea76c80e0f8bd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1070a28cb9cb8553c29747d1993b16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.2 | C.1 | D.0 |
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2024-04-15更新
|
765次组卷
|
3卷引用:陕西省榆林市2024届高三第二次模拟考试文科数学试题
名校
解题方法
4 . 3.已知向量
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3de08bc776f3401187163c2901387fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.2 | D.-2 |
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3卷引用:陕西省榆林市2024届高三一模数学(文)试题
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解题方法
5 . 向量
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dd0e8beb90c329d809391e27d088385.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.2 | B.![]() | C.![]() | D.![]() |
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2023-10-29更新
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5卷引用:陕西省榆林市府谷中学2024届高三上学期10月质量监测考试文科数学试题
名校
解题方法
6 . 在
中,内角
,
,
所对的边分别为
,
,
,向量
,
.已知
,且
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc5ed15f84db48a795c7d264bf390af5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0d4c38f729a263e7db1e6bc95c9155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b5f7053c7a9f7582246ca606d55f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dfa04ed69eb5e36931c076e0cf3f01e.png)
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6卷引用:陕西省榆林市第一中学2024届高三第一次模拟考试理科数学试题
名校
7 . 因为
,
,若
与
的夹角为钝角,则
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0812ea92afd60233426521798f5ca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1649f160c5148698c245ee045085f6b1.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
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|
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8卷引用:陕西省榆林市神木市第四中学2023-2024学年高一下学期第二次月考数学试题
陕西省榆林市神木市第四中学2023-2024学年高一下学期第二次月考数学试题云南省曲靖市民族中学2022-2023学年高一下学期期中考试数学试题山西省朔州市朔城区第一中学校、忻州市第一中学校2校2022-2023学年高一下学期3月月考数学试题辽宁省实验中学2023-2024学年高三上学期10月月考数学试题(已下线)第16讲 第六章 平面向量及其应用 章末重点题型大总结(1)-【帮课堂】(人教A版2019必修第二册)黑龙江省齐齐哈尔市克东县第一中学等学校2023-2024学年高二下学期4月月考数学试题河南省河南名校联考2023-2024学年高一下学期4月月考数学试题云南省曲靖市沾益区第一中学2023-2024学年高一下学期第一次月考数学试题
解题方法
8 . 设向量
,
,且
,则锐角
为___________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e38478709661cda9c2ffd85c21d774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8022f350f49c406c41a1ee793b86e2f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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解题方法
9 . 已知向量
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24025d09771b70f03367ac112df78bba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75b103ac451e500275678e676530099b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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|
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2卷引用:陕西省榆林市横山中学2022-2023学年高一下学期期中数学试题
22-23高二下·陕西榆林·期末
解题方法
10 . 已知向量
,若
与
共线,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d0e701d50c8fb73ef9e9eddd5fde77.png)
![](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/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.3 | D.1 |
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