名校
1 . 如图,在
中,
,点
为边
的中点,
.
(1)求
;
(2)求
的面积
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8879b4ae7b07927105c922c939843e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8faedb1dcf2637dbf0be0a9d40f09384.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/14/be61f49b-0e7d-4b3c-b1fb-3e8eec1d298b.png?resizew=153)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdddaf04139a84bb1f64fc9baa414497.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372629a8666de1e9bac3e7daadcac7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
您最近一年使用:0次
2023-06-11更新
|
371次组卷
|
2卷引用:江苏省镇江市扬中市第二高级中学2022-2023学年高一下学期期末模拟数学试题
名校
2 . 已知平面向量
,
,满足
,
.
(1)若
,求向量
与
的夹角;
(2)若
,函数
,求
的值.
![](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/8f18996bd00253c3ad9f91780103affb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df42687a73cb92e92a3cb6e54f1edb15.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb534ce9b708c3c6d3077e08c213cf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa8a06400e199890d6fe482fdb3dcdf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acf413ed0c5d16febf5423413eb9927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a57b9caf89c68f0249f490e09b50493.png)
您最近一年使用:0次
名校
解题方法
3 .
中,内角
,
,
的对边分别为
,
,
,
为
的面积,且
,
,下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/c5db41a1f31d6baee7c69990811edb9f.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/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fa79a550591eb9e1bd07bced3a08fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3327840ecb761392f4ccf90accf89f75.png)
A.![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次
2023-06-12更新
|
363次组卷
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2卷引用:江苏省镇江市扬中市第二高级中学2022-2023学年高一下学期期末模拟数学试题
名校
4 . 已知平面向量
,
.
(1)求
的值;
(2)若向量
与
夹角为
,求实数λ的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d607667f2516c58bbdff03e01be50f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d37080e5a545f0e256105c786640e59.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2ce5ff00327bbf0732447c1d6799f0.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0067ea61ac2abd75b17f906c13fd6879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e07c25df57a36d4f1b11d7d9fe16b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
您最近一年使用:0次
2022-07-09更新
|
720次组卷
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8卷引用:江苏省淮安市2021-2022学年高一下学期期末数学试题
江苏省淮安市2021-2022学年高一下学期期末数学试题(已下线)专题02 向量基本定理与坐标运算-期中期末考点大串讲(苏教版2019必修第二册)(已下线)期末考试仿真模拟试卷04-(苏教版2019必修第二册)广东省江门市棠下中学2022-2023学年高一下学期3月月考数学试题(已下线)期末专题04 平面向量大题综合-【备战期末必刷真题】陕西省咸阳市礼泉县第二中学2022-2023学年高一下学期期中数学试题山东省临沂第十八中学2022-2023学年高一下学期第五次调研考试数学试题广东省雷州市第二中学2023-2024学年高二上学期开学考试数学试题
名校
解题方法
5 . 下列说法正确的是( )
A.![]() ![]() ![]() ![]() |
B.在边长为2的等边三角形ABC中,![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
2022-07-12更新
|
741次组卷
|
4卷引用:江苏省泗阳中学2022-2023学年高一上学期期末数学试题
6 . 已知平面上的三点A,B,C满足
,
,向量
与
的夹角为
,且
,则实数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae5a64bcb77f5f64e4af6930c249a270.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f28d6011934956775d9eae744423fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89265cbe3abc6b966ce8967fead448b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc76db19d7f99ab170e5ecf92cae0a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.0 | B.1 | C.-2 | D.2 |
您最近一年使用:0次
解题方法
7 . 在
中,
,
,点
满足
,
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03194c2d5dbe0959965758aa85d8b35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda09302202d7ccfe1fbc325a31964a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e4c2d2ef294e9381f0ebaaae7673f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f2047ceb577ccb3a944173f310777ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c923e84cab4d841a72b15993cf8a2a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-06-30更新
|
711次组卷
|
3卷引用:江苏省盐城市2021-2022学年高一下学期期末数学试题
江苏省盐城市2021-2022学年高一下学期期末数学试题江苏省苏州市常熟市王淦昌高级中学2022-2023学年高一下学期3月月考数学试题(已下线)专题01 平面向量的概念与运算(2) -期中期末考点大串讲
名校
8 . 在直角梯形
中,已知
,
,
,
,对角线
交
于点
,点
在
上,且满足
.
![](https://img.xkw.com/dksih/QBM/2020/2/18/2401654048219136/2401813071183872/STEM/e4fdddb2-9c6a-48f0-8426-5be5fd32b5dc.png)
(1)求
的值;
(2)若
为线段
上任意一点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9823d3daa8b68d02aaf19405c5788569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e0b7d845cbceccd3e76ca461fcc534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb98e4c1f304ad886bb33218f1c31dfc.png)
![](https://img.xkw.com/dksih/QBM/2020/2/18/2401654048219136/2401813071183872/STEM/e4fdddb2-9c6a-48f0-8426-5be5fd32b5dc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2bc64484a7eb897913b701bb72041e0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7026ff15384a85b55bf3b260526a5ddd.png)
您最近一年使用:0次
2020-02-18更新
|
1411次组卷
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20卷引用:江苏省宿迁市2019-2020学年高一上学期期末数学试题
江苏省宿迁市2019-2020学年高一上学期期末数学试题江苏省扬州市新华中学2020-2021学年高一下学期第一次月考数学试题江苏省镇江中学2020-2021学年高一下学期期中数学试题江苏省无锡市太湖高级中学2020-2021学年高一下学期期中数学试题江苏省无锡市南菁高级中学2020-2021学年高一(普通班)下学期第一次阶段考试数学试题江苏省淮安市六校联盟2020-2021学年高一下学期第七次学情调查数学试题江苏省无锡市辅仁高级中学2021-2022学年高一下学期教学质量抽测(一)数学试题江苏省常州市华罗庚中学2021-2022学年高一下学期3月月考数学试题江苏省苏州市常熟市伦华高级中学2022-2023学年高一下学期第一次月考数学试题江苏省苏州新实科技城2022-2023学年高一下学期5月月考数学试题重庆市西南大学附属中学校2020-2021学年高一下学期3月月考数学试题浙江省金华市曙光学校2021-2022学年高一下学期第一次阶段考试数学试题苏教版(2019) 必修第二册 过关斩将 高手篇 第9章 9.3 向量基本定理及坐标表示9.3.2向量坐标表示与运算9.3.3向量平行的坐标表示山西省大同市第一中学2022-2023学年高一下学期3月学情检测数学试题 广东省深圳市高级中学高中部2022-2023学年高一下学期期中数学试题广东省东莞市第一中学2022-2023学年高一下学期期中考试数学试题河南省郑州市第一中学2022-2023学年高一下学期期中数学试题山东省烟台市莱阳市第一中学2023-2024学年高一下学期3月月考数学试题重庆市第十一中学2023-2024学年高一下学期3月月考数学试题新疆乌鲁木齐市第十九中学2023-2024学年高一下学期第一次月考数学试卷
名校
解题方法
9 . 如图,在任意四边形
中,
,
分别为
,
的中点,
,
,边
与
所成角为
,则线段
的长度是____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49437f474e5805688dff21ded2d1fd7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/260200d547998bcac50a4a491382e7f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/27/5d12b18b-6b83-4225-a983-5be7cb50ff0b.png?resizew=124)
您最近一年使用:0次
2023-06-27更新
|
345次组卷
|
2卷引用:江苏省连云港市灌南高级中学2022-2023学年高一下学期期末模拟数学试题
解题方法
10 . 已知两个单位向量
,
的夹角为60°,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a140a9e6313f280b06df3540d38c9f6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae9138a21a7a4b9857b72e724228947.png)
A.3 | B.![]() | C.![]() | D.1 |
您最近一年使用:0次
2022-07-02更新
|
677次组卷
|
3卷引用:江苏省南通市2021-2022学年高一下学期期末数学试题