名校
1 . 设
是
内一点,且
,定义
,其中
分别是
的面积,若
,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f58ff77bc49f127a27e0af56573944c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801d50da9a58b1b1d48141e6ad01c1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b511bcbe94aa484c0a067891fbf7968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d201ead127c65cc0bc153fdb445e420.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4d96a8d81b2cd450bd92e7a9ec791f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f257b71e2b7886aadf7f1ebc809c10b1.png)
A.![]() | B.18 | C.16 | D.9 |
您最近一年使用:0次
7日内更新
|
485次组卷
|
5卷引用:福建省三明市六校2023-2024学年高一下学期期中联考数学试卷
福建省三明市六校2023-2024学年高一下学期期中联考数学试卷四川省南充市南部中学2023-2024学年高一下学期第二次月考数学试题(已下线)核心考点2 平面向量的数量积 B提升卷 (高一期末考试必考的10大核心考点)(已下线)核心考点3 解三角形与实际应用 A基础卷 (高一期末考试必考的10大核心考点) (已下线)【高一模块一】难度7 小题强化限时晋级练 (较难1)
解题方法
2 . 如图1,将三棱锥型礼盒
的打结点
解开,其平面展开图为矩形,如图2,其中A,B,C,D分别为矩形各边的中点,则在图1中( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/17/6b73349b-e32d-4caa-9721-9560b4356152.png?resizew=308)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/5/17/6b73349b-e32d-4caa-9721-9560b4356152.png?resizew=308)
A.![]() | B.![]() |
C.![]() ![]() | D.三棱锥![]() ![]() |
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名校
3 . 在平面直角坐标系
中,点P在直线
上.若向量
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfc6b5b7ae63a330f0cd8593ee47338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81f4dcf415977dea53f52a85b6b82136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91174b2336306191ba275a87864172b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 已知任意的非零平面向量
,
,
,则下列说法正确的是( )
![](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/73a0b19e69be46452425916a0fcb49c9.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知
的三个角
的对边分别为
,且
是
边上的动点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba8d7455cf625763f91224767d35d186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db60a1094be44d3298dbdee836be1057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7a9bb8ba3d2ec7d9ccb5f6c76abfd2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 利用平面向量的坐标表示,可以把平面向量的概念推广为坐标为复数的“复向量”,即可将有序复数对
(其中
)视为一个向量,记作
,类比平面向量的相关运算法则,对于复向量
,我们有如下运算法则:
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2e1a17e5fc03e723da511f9b09e90c.png)
②
;
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0822271cf00be40e775f82a7080afad.png)
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb467f8f90ba3c6ed8dcd5e9b385c5c0.png)
(1)设
,
为虚数单位,求
,
,
;
(2)设
是两个复向量,
①已知对于任意两个平面向量
,(其中
),
成立,证明:对于复向量
,
也成立;
②当
时,称复向量
与
平行.若复向量
与
平行(其中
为虚数单位,
),求复数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1b39933abd56981a8bbcddf4b034df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6227fc796e13ab80f2b5ccd4a8769588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2adcabafb9c785403537056956f8ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20bc37ab790b711f0c35a641b9bb4ae3.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c2e1a17e5fc03e723da511f9b09e90c.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09eeba4bb1dfe0975a02c38fcc1b49a3.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0822271cf00be40e775f82a7080afad.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb467f8f90ba3c6ed8dcd5e9b385c5c0.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a6650a5e44b601c5a50b348b6d179d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebcb29b663cf1fb1ff2b3c9d1a7aebf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0631b4e25deaa9d9ba17dff5a3463605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58530dec593308e46ac5af69be13a2f7.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bb379314dccab07cc53674173cde64d.png)
①已知对于任意两个平面向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55e252e7c38b0a709ffe7c908677253b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751f52d4cf239511828e3960e41c61df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e255fd67f8f2318ebdb67c4a8c8496cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc8b1e5c55bce554fc4a0de48279a8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72659ca68087f1aa5d442637ed3c41ad.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebd1c6734cf3d125541de04002b00012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2780422eefb9e85b89074a1ba2a159d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433a8c622b44e1aa29e9989e6978dd7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77b3a6ecb6225c55fa164d801dff391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c70d0dafec614d310400b919671739.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3db22264e0df8e232e97934cb4e8b1ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66e9585a1da28d403536ea48b4c37a3e.png)
您最近一年使用:0次
名校
解题方法
7 . 已知中心在原点、焦点在x轴上的圆锥曲线E的离心率为2,过E的右焦点F作垂直于x轴的直线,该直线被E截得的弦长为6.
(1)求E的方程;
(2)若面积为3的
的三个顶点均在E上,边
过F,边
过原点,求直线
的方程:
(3)已知
,过点
的直线l与E在y轴的右侧交于不同的两点P,Q,l上是否存在点S满足
,且
?若存在,求点S的横坐标的取值范围,若不存在,请说明理由.
(1)求E的方程;
(2)若面积为3的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a29ba49963134a7232fa8574105fc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d196dfa1217d0db795705c28eb988c1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f25d2d5078ac5925c12ddbbb57eb67d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a137073216d1de26f3923e08614306f9.png)
您最近一年使用:0次
2024-03-26更新
|
1137次组卷
|
2卷引用:福建省泉州市2024届高三质量监测(三)数学试题
解题方法
8 . 已知平行四边形ABCD中,
,
,
,若以C为圆心的圆与对角线BD相切,P是圆C上的一点,则
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc223d52d1e2bc89029892179b4d452c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ef4c1ccff04b26c7511b2295294c657.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 已知复数
,其中
.
(1)设
,若
是纯虚数,求实数
的值;
(2)设
,分别记复数
、
在复平面上对应的点为
、
,求
与
的夹角以及
在
上的数量投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63c0fda5d04e27796f64c5b3a09daa58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa44c6f189099dbe176aec25d1be094c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aed39f5aca78934fb383402433fe549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ea3cc01ce7266cdf0fd73fd50d23c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f605ec0729ce6d72237ad662a06862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
您最近一年使用:0次
2024-03-12更新
|
589次组卷
|
2卷引用:福建省福州外国语学校2023-2024学年高一下学期期中考试数学试卷
名校
解题方法
10 . 在
中,
,
是
的外心,
为
的中点,
,
是直线
上异于
、
的任意一点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d75f67ac92faf413da3cf4aeaab9e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abc2357daa427e616c23ed9459e30afd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be8265052a358bed3d1bab5a1df8dca.png)
A.3 | B.6 | C.7 | D.9 |
您最近一年使用:0次
2024-03-08更新
|
2742次组卷
|
10卷引用:福建省安溪铭选中学2023-2024学年高一下学期6月份质量检测数学试题
福建省安溪铭选中学2023-2024学年高一下学期6月份质量检测数学试题新疆2024届高三下学期2月大联考数学试题(新课标卷)广东省2024届高三数学新改革适应性训练七(九省联考题型)江苏省无锡市辅仁高级中学2023-2024学年高一下学期3月月考数学试卷重庆市第八中学校2023-2024学年高一下学期4月阶段练习数学试题 辽宁省沈阳市第二中学2023-2024学年高一下学期第一次月考数学试题河北省石家庄二中实验学校2023-2024学年高一下学期3月月考数学试题四川省眉山市仁寿县两校2024届高三下学期第三次模拟理科数学试题四川省眉山市仁寿县两校2024届高三下学期第三次模拟文科数学试题广东省湛江市第一中学2023-2024学年高一下学期第一次月考数学试题