解题方法
1 . 已知向量
,
,
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b169450a7e1e8af74e7d7e505dd04c5.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a25d09a7e1ee223732e9ed44b6c904f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f539489ceffe67dca255bce0de04663e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/463c605fb3bcf54caf300387909887eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b6fc7e4e457a179af628d22d7b1dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b169450a7e1e8af74e7d7e505dd04c5.png)
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解题方法
2 . 设向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8421ce7bf41351808af2e1cb4a5a74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd2555bb24d9abc9551b1de8deffea3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/444ba76b06bbd289344a64eb32212bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
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解题方法
3 . 已知
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda3f2bbb62d0e0abc140c174944aa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee58ceb9641550ed01c0f077d500a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03481e6a73207be03fdbc1f8e9965b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
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2022-07-21更新
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178次组卷
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4卷引用:四川省凉山彝族自治州2021-2022学年高一下学期期末数学(文)试题
4 . 已知向量
,
.
(1)若
,求
的值;
(2)若
,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e258bfd6a61b8b1b75668526654863a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3656b287d97554b977be76faaae0ac1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cfe95f520c7b454ceabb2ae9af0a87.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2244a614a4f1b0dec95655f44da3c67.png)
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解题方法
5 . 已知
,
(1)当
为何值时,
与
共线;
(2)若直角三角形
中,
为直角,
, 求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80b227a1241575eb3fca490d49fad3e5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40436543cc51f42b5b5d93e55a407ce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
(2)若直角三角形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7ad29b888ee08fc540660889330018b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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6 . 已知锐角
的内角A,B,C所对的边分别为a,b,c,向量
,
,且
.
(1)求角
的大小;
(2)若
,
边上的中线
长为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68aa2f092ba3c76ce401c565877f0583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2058cbad7f49ac6b88a3a5ec9dbd96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2758285d3c1d8c16784edbc5f572fc26.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2022-07-20更新
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2527次组卷
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7卷引用:重庆市第一中学校2021-2022学年高一下学期期末数学试题
重庆市第一中学校2021-2022学年高一下学期期末数学试题(已下线)第07讲 拓展二:三角形中线,角平分线问题 (高频考点精讲)(已下线)解三角形专题:三角形的中线、角平分线与高线问题-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)河北省石家庄市第二中学教育集团2022-2023学年高一下学期期末数学试题青海省西宁市2022-2023学年高一下学期期末调研测试数学试题广东省广州市第一一三中学2023-2024学年高二上学期10月月考数学试题云南省大理白族自治州祥云县祥云祥华中学2023-2024学年高一下学期3月月考数学试题
名校
7 . 已知向量
,
,
,其中m,n均为正数,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/324ae9aabe9b5d2800807da07b3d0268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0979ead3a09ede4835e7fe77c87850f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a27c504307bed0d90ea5e21071562aa0.png)
A.![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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2022-07-20更新
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839次组卷
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2卷引用:辽宁省沈阳市五校协作体2021-2022学年高一下学期期末数学试题
解题方法
8 . 已知向量
,
,
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0523483d23bdda4a14fa6f4db67ebe33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d428c58924272b6108694993f93b20c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c434aeeef8106fdfda0e6f8660090138.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/838fa9195ea9b5197f534fe53a373365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-07-19更新
|
803次组卷
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5卷引用:北京市顺义区2021-2022学年高一下学期期末数学试题
北京市顺义区2021-2022学年高一下学期期末数学试题(已下线)北京市北京亦庄实验中学2022-2023学年高一上学期第2学段教与学质量诊断(期末)数学试题(已下线)6.3.4-6.3.5 平面向量数乘运算的坐标表示、平面向量数量积的坐标表示1-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)9.3.2-9.3.3 向量的坐标表示和运算 向量平行的坐标表示1-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(苏教版2019必修第二册) (已下线)6.3 平面向量基本定理及坐标表示(精讲)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)
9 . 记数列
的前n项和为
,已知向量
,
,若
,且
,则对于任意的
,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791e9c00c9ec9b69064a57a31f6b1007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee7a3e6bfc638103da1251ca6f93651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e32b6dc307d12bbd6b850a67b0599620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 若向量
,且
,则实数m的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76bc3f02ebec04a66715c8c236d8993b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70facc9bc02af0867d248407bd317c05.png)
A.-2 | B.-![]() | C.1 | D.-2或1 |
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2022-07-17更新
|
468次组卷
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2卷引用:福建省莆田市2021-2022学年高一下学期期末数学试题