解题方法
1 . 已知平面向量
的夹角为
,满足
.平面向量
在
上的投影之和为2,则
的最小值是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a268b99842456d3af045077b88b9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c8b6525cb8f97c5de980b90223f9c0.png)
您最近一年使用:0次
名校
解题方法
2 . 已知平面向量
,
,
满足
与
的夹角为锐角,
,
,
,且
的最小值为
,则实数
的值是_____ ,向量
的取值范围是_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4244dd3d11b8c8131ffecd896c12a27c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb8ed66de4dba65ef7a2b03612185fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1be6dcfd317c126add9cab910543e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4624a168706aa3609025f2840ecafadb.png)
您最近一年使用:0次
2020-02-21更新
|
2540次组卷
|
5卷引用:江苏省淮安市2019-2020学年高一上学期期末数学试题
江苏省淮安市2019-2020学年高一上学期期末数学试题(已下线)第6章 平面向量及其应用-2019-2020学年高一数学备战新高考新题型之双空题浙江省2022届高三下学期高考冲刺卷(二)数学试题苏教版(2019) 必修第二册 过关斩将 第9章 9.1-9.2综合拔高练辽宁省大连市大连育明高级中学2022-2023学年高一下学期期中数学试题
3 . 定义向量
的“相伴函数”为
,函数
的“相伴向量”为
,其中O为坐标原点,记平面内所有向量的“相伴函数”构成的集合为S.
(1)设
,求证:
;
(2)已知
且
,求其“相伴向量”的模;
(3)已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
为圆
上一点,向量
的“相伴函数”
在
处取得最大值,当点M在圆C上运动时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50633448e2f3583959333aedd008034.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c6f29b2b1955715616003d51d8b77f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65c6f29b2b1955715616003d51d8b77f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e50633448e2f3583959333aedd008034.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88b5cfa9838662ced4d78b6458aa90a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9848a0bb57a882e951a8812b38f70df.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06af1eee80c1971583ca553df77e49a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4967b02dcf5b76c0d5ce82417618aad7.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d8a4cf957865fad1cb648fcd2cbaa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753fe33b16b19630c996a2bc98739fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce769d55393c86ae6c312de5158e4b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00da1c29aea46e36cda0f5780966bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e0e24323fe73e5d9fc6136219306da.png)
您最近一年使用:0次
2020-01-16更新
|
1346次组卷
|
2卷引用:上海市七宝中学2017-2018学年高二上学期10月月考数学试题