1 . 平面内三个向量
,
,
.
(1)若
,且
与
方向相反,求
的坐标;
(2)若
,求
在向量
上的投影向量的模.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6700c13f6c32d1b8a5abf5841300beaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b5e93d1df49fe614a7fd9457c4d69c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bdf5a36380b4bfe7f5822c4b5c5ce59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76118bdca6c463cfb19b66f30281c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b76118bdca6c463cfb19b66f30281c4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a7b740bced3cbfb09f34cfd3c1db90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f804cd64c500e8f42cbde685b554a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
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2 . 已知向量
,
,
,若
∥
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe9bcd75f65e4f8dadc72d2f45e8641.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eceddf10c35b43086f272079462aa51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdf0aa641429e77c214cd471f46c3c70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8250766c5f6579285a844c6aad927b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe9bcd75f65e4f8dadc72d2f45e8641.png)
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3 . 已知
,
.
(1)求
;
(2)若
与
平行,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c22fb4cb93da0042f4a5573a8429edb3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c20c6f75adecbf7a1785f9a693b23db.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b625b8d3178dd0ea451a80a63082c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d39321b6bdb08c5d23658b52abdb5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
4 . 已知向量
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40c3bef47eca74c23c275cc0ea1839b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a900c85366804ae073231e77792aec96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a4536aee795e0fe74a860dc80c2b36.png)
A.![]() |
B.![]() |
C.若![]() ![]() ![]() ![]() |
D.![]() ![]() ![]() |
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2023-07-11更新
|
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云南省昆明市第二十四中学2023-2024学年高二上学期10月月考数学试题山东省青岛市平度市2022-2023学年高一下学期期末数学试题(已下线)模块四 专题1 暑期结束综合检测1(基础卷)山东省青岛市黄岛区2022-2023学年高一下学期期末数学试题
5 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cf2dfb77322c9b7f07606465483a30e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbfd67b72143824efa7704759a744449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd79264e130de60a100b001b5d45585c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2023-07-11更新
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3卷引用:云南省楚雄州2022-2023学年高二下学期期末考试数学试题
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解题方法
6 . 已知
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1025572b15927ce2c1d7c1a3c97685b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3e3f01dfce181b59edebb234db818b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91b958a367fa2f08b6202a5a6ebf5e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
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3卷引用:云南省昆明市西南大学官渡实验学校2023-2024学年高二上学期9月综合素质测评数学试题
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7 . 下列命题中正确 的是( )
A.若向量![]() ![]() ![]() |
B.若四边形![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.已知向量![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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7卷引用:云南省开远市第一中学校2022-2023学年高一下学期5月月考数学试题
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解题方法
8 . 已知向量
,
,
,若点
,
,
能构成三角形,则实数
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a145371e1b500a35295b4d70078b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d774be002b731528e81363c5c575529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b48f9d55d1b54a7ed3ddda5a010035b6.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/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.1 | D.![]() |
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解题方法
9 . 已知
的内角
的对边分别为
,向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1796bb18cc55270eed9432040a4d774f.png)
,且
.
(1)求角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b995fcd47faee2e939ef2e47813cd6.png)
(2)若
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88f2599ca8b6b683e57a82699c8b1ebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1796bb18cc55270eed9432040a4d774f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fdfc65abe0768bdc6c94162500f19a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014a82692e31ac1980b50100c919254c.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b995fcd47faee2e939ef2e47813cd6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b93a6d262d95ff5e93ac0a349aed6822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edb57d84f9bbcb3e30d4ce7e2e1e8604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2023-06-03更新
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名校
解题方法
10 . 已知
,若
,则k=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7afcc30aa6b4e6ea74c9d12c18af0d3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afa49dbaa99a0d7a7a6d18b3fe42091.png)
A.3 | B.![]() | C.![]() | D.![]() |
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2023-05-21更新
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4卷引用:云南师范大学附属中学2023届高三第九次高考适应性月考数学试题
云南师范大学附属中学2023届高三第九次高考适应性月考数学试题(已下线)第3讲 平面向量(1)-《考点·题型·密卷》(已下线)模块四 专题1 小题入门夯实练3(北师大版)新疆生产建设兵团第三师图木舒克市第一中学2022-2023学年高一下学期6月月考数学试题