名校
1 . 窗花是贴在窗子或窗户上的剪纸,是中国古老的传统民间艺术之一,图1是一个正八边形窗花隔断,图2是从窗花图中抽象出的几何图形的示意图.如图2,若正八边形
的边长为2,P是正八边形
八条边上的动点,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b035ee6a927a9db81d3ac923edb5a8c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d17d4a6cf11cda87b3dfafaecdec683f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e83b9f01e806bf74042ba41b26423022.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 在平行四边形
中
,若
则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc2468d692bb054dc0a1fcad58ff88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/011bf2203572038304780a7a3f3c15a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
A.![]() | B.![]() | C.1 | D.![]() |
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解题方法
3 . 若
,
,
,则
与
的夹角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19702ae2c72308f9973ae4c77a62a72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061e6185a58dfc9d617e50cd0d9008e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 长江某处的南北两岸平行,江面宽度为
,一艘船从江南岸边的
处出发到江北岸.已知如图,船在静水中的速度
的大小为
,水流方向自西向东,且速度
的大小为
.设
和
的夹角为
,北岸的点
在
的正北方向,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26016c9a610be4da74086a37c3327d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f77dea92dc5b32a89ca4f2cdd6f9d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6aef355571061ad7f9bfb8c8424375.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995f121d6107eb3a755aa088a32701fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/885dcd09453f2692e30cc86ff855dcbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f77dea92dc5b32a89ca4f2cdd6f9d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995f121d6107eb3a755aa088a32701fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798cdca7d20743e0197fe422f09fcbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
A.当船的航行距离最短时,![]() |
B.当船的航行时间最短时,![]() |
C.当![]() ![]() |
D.当![]() ![]() |
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解题方法
5 . 已知
,求:
(1)
的值;
(2)
与
的夹角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d852c5f3e1edf58fe3ce83021611521d.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576536967639b1821f5e3b07be02c3ce.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2024-04-30更新
|
280次组卷
|
2卷引用:江苏省泰州市兴化市2023-2024学年高一下学期4月期中考试数学试题
6 . 在
中,点
分别是AB上的
等分点,其中
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abefbec97284a16acdb0512ac7ade922.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209a7f6233897f8d7e47a8cea8151ad0.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7 . 在
中,
且
,则错误的选项为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b9d60d9907e4ab950bc61f52ddbf70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a4e80a3026a00430e46a045c574fddc.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
8 . 已知
为
所在平面内一点,满足
,且
的面积为
.
(1)求
的值;
(2)求
的值;
(3)若点
是线段
上一点,过点
分别向
作垂线,垂足分别为E,F,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f434955904bfc18d7062db95d4c44ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b12efb03327f461e868b2ea433f9b0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad71547a1a45cc7b11d6ecde59884c7.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd18b7f9164b68dd88a5f976c099b3c.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58e08ee0b2580a62cf20f709b5e90df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b89b3f2de8a3e84b1c6d4dda922d1f0.png)
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9 . 已知向量
.
(1)若向量
,求向量
与向量
的夹角的大小;
(2)若向量
,求向量
在向量
上投影向量的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f24bbaba4d62804c2027226df81f30c.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39397a935a0d1d3df1c088c4d8978ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13653b0632c26d9d25d1a131e05330b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
您最近一年使用:0次
2024-04-24更新
|
281次组卷
|
2卷引用:江苏省泰州市民兴实验中学2023-2024学年高一下学期期中调研测试数学试题
名校
解题方法
10 . 已知向量
是三个非零向量,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46fddc1f1c50aab4de7fff286d691b97.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次