名校
解题方法
1 . 对任意平面向量
,将
绕其起点
沿逆时针方向旋转
角后得到向量
,则叫做把点
且绕点
沿逆时针方向旋转
角得到点Q,已知平面内两点
,
.
(1)将点且
绕点
沿逆时针方向旋转
后得到点Q,求点Q的坐标;
(2)已知向量
,向量
是向量
在向量
上的投影向量,若
,不等式
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff20d755dd4209ef31c13e5d51af930c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ade15acb97b053b7b70e260228a1ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8983881f17a646a2a70762e4c4b729.png)
(1)将点且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
(2)已知向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e745905cf02d7165c2a2dfddcee05f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee0fb11d919264f1318950e2844e43db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132e97649aa2c70b26c3903aebf6a164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2f0f729a9859a07ea08db706daf78e.png)
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名校
2 . 已知向量
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b981b38133d5d65060dd8ff4d65a66be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d101c500e1bab46518c883f347f81b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72da974f283dab2c987f5dddb2f3f402.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-03-29更新
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5卷引用:宁夏青铜峡市宁朔中学2022-2023学年高一下学期期中考试数学试题
名校
解题方法
3 . 已知平面向量
,
,若
与
的夹角为锐角,则
的取值范围为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43fa9307f35580493bf435ac6a464b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9fe8f32f9e3152a64429f45d783eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492f7b29166ba5c1f0023b05a439c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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4 . 已知向量,
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9441846da0868582298cece138bec3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2ce4f096ae2ffcfa5f5dfc6bdca590.png)
(2)求向量
![](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/c24095e409b025db711f14be783a406c.png)
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5 . 设点D为
中BC边上的中点,O为AD边上靠近点A的三等分点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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6 . 已知向量
,若
与
方向相反,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef5f8ddf9fddcea86fd98aafe0b1baf.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/9e89f215b3ffefbbf7c7c7e9d2e19058.png)
A.54 | B.8 | C.![]() | D.![]() |
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7 . 若
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724bb9f081d011c99d368afa8ef32008.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1403f4785360cd052f1e43c6080669be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知
,则向量
与向量
的夹角为钝角时
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f529b5a3685c52874ab4ad7a59639a.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/36a1b09c653185842513e24ebba60bb3.png)
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名校
解题方法
9 . 在
中,延长
到
,使
,在
上取点
,使
,
![](https://img.xkw.com/dksih/QBM/2023/3/18/3197120146096128/3198702288125952/STEM/fac18877125c4230b786c2d46f923ecf.png?resizew=191)
(1)设
,用
表示向量
及向量
.
(2)若
,且
的面积为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f120d99fbb4add85b4d56dc8a9c1f142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d1da318c5918697cbad59dd119365d.png)
![](https://img.xkw.com/dksih/QBM/2023/3/18/3197120146096128/3198702288125952/STEM/fac18877125c4230b786c2d46f923ecf.png?resizew=191)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/211429ce394297f664f6b8e16edec714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c085dbb9d78aef7d81c3f4d6855f067b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2bd54b10a6ecef3135fe2dd047b452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16a00ffc890ef8cfc038e5039983773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f83dbfddc6f98548699ed581e8c8608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16a00ffc890ef8cfc038e5039983773.png)
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|
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4卷引用:宁夏六盘山高级中学2022-2023学年高一下学期第一次月考数学试题(甲卷)
宁夏六盘山高级中学2022-2023学年高一下学期第一次月考数学试题(甲卷)福建省福州第十五中学、格致中学鼓山分校、铜盘中学2022-2023学年高一下学期期中考试数学试题第九章 解三角形(B卷·能力提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(人教B版2019必修第四册)(已下线)重难点专题01 正弦定理与余弦定理-2022-2023学年高一数学重难点题型分类必刷题(人教B版2019必修第四册)
名校
解题方法
10 . 已知平面向量
,
满足
,
.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7577c538c53da9db6db659a00060d4.png)
(2)求向量
与向量
的夹角
![](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/cadb456f43065bff1bf0167dcb6cd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a07860664c851bce89dc7fef91d233.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7577c538c53da9db6db659a00060d4.png)
(2)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/437dc907211c5934f938d869f6b19e93.png)
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