2024高一下·全国·专题练习
解题方法
1 . 设向量
满足
,
与
的夹角为
,则
的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4a6e85195941321bc8fdb417153a2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b714d7bdaaa6635fe254d8ade3b884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9c88190fb57e877047c8cdc3b564ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbdfc15af2c340bb425029c46bec322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9007ec6447a9428dadb4fdb7ae9bae.png)
您最近一年使用:0次
名校
解题方法
2 . 在
中,
,
,
对应的边分别为
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b7cf620e36b473d399931a1bf74044.png)
(1)求
;
(2)若
为线段
内一点,且
,求线段
的长;
(3)法国著名科学家柯西在数学领域有非常高的造诣;很多数学的定理和公式都以他的名字来命名,如对于任意的
,都有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bac31c743e047705e38e6e3880a73bb.png)
被称为柯西不等式;在(1)的条件下,若
,求:
的最小值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febc9a89d0d1c97b88c0f4acd32b4e67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194741f4d2ae7ee44cafca780361446a.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/a7b7cf620e36b473d399931a1bf74044.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e12918bd035d4e57797c078026b2e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926d38cce21b48df42041e4b8b2a7db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(3)法国著名科学家柯西在数学领域有非常高的造诣;很多数学的定理和公式都以他的名字来命名,如对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751f52d4cf239511828e3960e41c61df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bac31c743e047705e38e6e3880a73bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/214b60823ecc7a03759fb1df0f6d8d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1cd0450780778d5ae577e676f6a741d.png)
您最近一年使用:0次
7日内更新
|
501次组卷
|
3卷引用:专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)
(已下线)专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)山东省济宁市兖州区2023-2024学年高一下学期期中质量检测数学试题福建省安溪第一中学2023-2024学年高一下学期5月份质量检测数学试题
解题方法
3 . 在梯形ABCD中,
,
,
,E为
的中点,F为
上的动点(含端点),则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee8ef58be8708144272538ee427fb92c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0e5697eca3f5205cb7b343648240bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a7ab4b30a29a8d767cfabd6cea0069.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59809f2fa9ce4c833cdf5fe102feb8d8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 设向量
满足
,
与
的夹角为
,则
的最大值为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0beb6bbf77cf0b795200f778c7532b75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1b714d7bdaaa6635fe254d8ade3b884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca9c88190fb57e877047c8cdc3b564ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bbdfc15af2c340bb425029c46bec322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26abac73b9cb1af5c5d8e8c2dd136bbb.png)
您最近一年使用:0次
7日内更新
|
228次组卷
|
3卷引用:四川省仁寿第一中学校南校区2023-2024学年高一下学期5月月考数学试题
四川省仁寿第一中学校南校区2023-2024学年高一下学期5月月考数学试题(已下线)专题04 解三角形小题常考题型归类-期末考点大串讲(人教B版2019必修第四册)重庆市清华中学校2023-2024学年高一下学期4月阶段测试数学试题
名校
5 . 如图,直线
,点
是
,
之间的一个定点,点
到
,
的距离分别为
和
.点
是直线
上一个动点,过点
作
,点
在线段
上运动(包括端点)且
,若
的面积为
.则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1095c036b49c3327baaa2c3c7f746134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822ba132ca9dd0d4a050659aef3c9b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3b96dce1ec94eb90c243b2eddb78476.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4901a7eda97d6a307db76c4fb196ba3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ce9a4fe0565a6810452d3fa9c747662.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59809f2fa9ce4c833cdf5fe102feb8d8.png)
A.![]() ![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
6 . 已知
是平面内两两不共线的向量,且
则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e12e95f703ad30ab9a3d38376830989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e7d52487370db340020d55d7fd0793e.png)
A.![]() | B.![]() |
C.![]() | D.当![]() ![]() ![]() |
您最近一年使用:0次
2024高三·全国·专题练习
7 . 已知平面向量
.若对区间
内的三个任意的实数
,都有
,则向量
夹角的最大值的余弦值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24151df20746830cd7c540198c1795d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e66131f9839e54174fc403f4490438b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096820d860ddf8f3155bf36f5fded491.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5866c60e64cfde38a71c72932422a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96445235e1596e6378fd02b2a3e5f2fc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024高三·全国·专题练习
解题方法
8 . 正方形
的边长为
,以
为圆心,
为半径作圆与
分别交于
于两点,若
为劣弧
上的动点,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df7fc746f8c4801d8f2f0471ba3297e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f268856e2fcb059176a98b5ae1a38f.png)
您最近一年使用:0次
名校
9 . 已知P是边长为1的正六边形
内一点(含边界),且
,则下列正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013783f70b317dc7ecbf358e005037ae.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
您最近一年使用:0次
2024-05-08更新
|
244次组卷
|
3卷引用:广东省广州市增城中学2023-2024学年高一下学期期中数学试题
广东省广州市增城中学2023-2024学年高一下学期期中数学试题(已下线)专题3 以平面几何图形为背景的向量综合问题【练】(高一期末压轴专项)江苏省扬州市新华中学2023-2024学年高一下学期5月月考数学试题
解题方法
10 . 如图,在面积为
的
中,M,N分别为
,
的中点,点P在
上,若
,则
的最小值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ff8c8d239cc12ddc3a899e9f054aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa29fe6cd9eb51c184f6299d437375cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e50638d41cbdc64868f461b7bd3df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41c1ade5e8de470776288e5031ebc42.png)
您最近一年使用:0次
2024-04-15更新
|
466次组卷
|
3卷引用: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
河南省河南名校联考2023-2024学年高一下学期4月月考数学试题第二章 平面向量及其应用章末重点题型复习(1)-同步精品课堂(北师大版2019必修第二册)(已下线)【讲】 专题二 与平面给向量数量积有关的范围与最值问题(压轴大全)