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 . 设向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb11592a8871819f9045d311d420342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12b22a1ed003a21a35e379d9c815745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668f0254cf71230731ceb71bfc0e07a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.0 | C.6 | D.![]() |
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名校
解题方法
4 . 已知平面向量
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9338520b3ccd2d16e0db9acf8fdd1465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a80adc333474c0566529a632cf12c3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 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)
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2024-06-07更新
|
1447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
名校
6 . 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![]() ![]() ![]() |
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2024-06-07更新
|
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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
解题方法
7 . 已知平面向量
.若向量
与
共线,则实数
的值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df001676b6da6f1636819274309b3fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a06c8eae3652486cf9e416ce3a8ffc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 已知向量
,
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7e6b95167f61e355deda5a36ebbcfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0192172e1729bf48ff17d020d5ef6ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61144441f3aa58f5cb973c32772ca262.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
9 . 已知向量
,
,若
,则锐角
的值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac90aed4e57f0c8d6ee1c02696bcc7fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd439dba62f2bacdee64ebf2b3e51aa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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解题方法
10 . 已知向量
,
,若
与
共线且反向,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/750079fe7868fd50c1958bdc4972248d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92ba5e6df3bdc570aea6bcc93526affb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7a1df960feef63dec4790d63f52279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b8a88a16125366536cb4ad658e0cf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
A.4 | B.2 | C.![]() | D.![]() |
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2024-05-12更新
|
731次组卷
|
4卷引用:陕西省渭南市临渭区2024届高三下学期质量检测(三模)文科数学试题