1 . 已知向量
,
,
,
.
(1)若
与
共线,求实数
;
(2)求
的最小值及相应的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d14987fc393ac1e82a3336ae99decca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b06ffa0ec8b3f73dab0eee6e3f89a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703d8dfdd6ce52b6ed462070b33f6e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/995ec593baa4ef50b6d87c78380953d7.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f139d3ee333d4b5688ba9f156c2ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/981a9b4625a4a3ef52c10c799fd81065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2022-07-07更新
|
359次组卷
|
4卷引用:广东省湛江市2021-2022学年高一下学期期末数学试题
广东省湛江市2021-2022学年高一下学期期末数学试题甘肃省张掖市2021-2022学年高一下学期期末数学试题(已下线)高一下学期期末数学考模拟试卷04-期中期末考点大串讲(已下线)核心考点01平面向量及其应用(1)
2 . 在
中,角
,
,
的对边分别为
,
,
,已知向量
,
,且满足
.
(1)求角
的大小;
(2)若
,且
的面积为
,求
的周长.
![](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/2209c80763d33b64c7d5bd28878158d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06fef413f4d172c0d88960fe6a0ed39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb5516d9c58ff128e4d2df15f6aa3301.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-08-26更新
|
330次组卷
|
2卷引用:广东省汕头市潮阳区2020-2021学年高二上学期期末数学试题
20-21高三下·浙江·期末
解题方法
3 . 已知向量
,
.
(1)求
;
(2)若向量
与
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a25d09a7e1ee223732e9ed44b6c904f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52b82c039297f51753f7a9e194307b81.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4f1d016e1b3849a0817c836a5c9284.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7cae1180d7aa8a3265a9ae557958130.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c08c1d025f7f40129fe19536bcd422.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2021-06-01更新
|
1059次组卷
|
4卷引用:广东省阳江市第三中学2021-2022学年高一下学期期末数学试题
广东省阳江市第三中学2021-2022学年高一下学期期末数学试题(已下线)【新东方】【2021.5.19】【SX】【高三下】【高中数学】【SX00159】广东省惠州市龙门县高级中学2021-2022学年高一下学期期中数学试题广东省梅州市梅雁中学2022-2023学年高一下学期3月月考数学试题
4 . 已知向量
,
.
(1)求
的值;
(2)若向量
满足
,
,求向量
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7605402b78577eb6fa5b59767e158fc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb6ac0f3dd316ef133bd37c46a97a29.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d525f7fc2208207551f3025afc887752.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c742ec0cc02fee4c83daba0d020b1067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48aa319b379e509f3d91e0a88620dad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524594bf0942ed86f56fc1eee120a81a.png)
您最近一年使用:0次
解题方法
5 . 已知
是坐标原点,向量
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4876efa91f38d11ce12fed2e1fbf2e.png)
(1)求实数
的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ca526692bfec82482ab9815acec88ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4876efa91f38d11ce12fed2e1fbf2e.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
您最近一年使用:0次
2018-07-18更新
|
370次组卷
|
2卷引用:【全国市级联考】广东省珠海市2017-2018学年高一下学期期末考试数学试题
6 . 已知
,求:
(Ⅰ)
;
(Ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11228a07d4e58f9cd88592edf2b24851.png)
(Ⅰ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880eb6676abe394a8b5daf8ab992ff92.png)
(Ⅱ)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70910a6cc567473270985f4bfa9c2bc6.png)
您最近一年使用:0次
2017-08-21更新
|
880次组卷
|
2卷引用:广东省韶关市2016-2017学年高一下学期期末考试数学试题
7 . 已知向量
,
.
(1)当
时,求
的值;
(2)若向量
与
的夹角是锐角,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf094db2e9f834129b9a0dcb9ad9927b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d27049c3c167a3d6148db4f7637ab3a.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee3e95e08096b76d559b61eed0ab85c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7d8b42c85013ba07ba18e5e46d8716.png)
您最近一年使用:0次
12-13高一上·广东汕头·期末
8 . 设平面三点
.
(1)试求向量
的模;
(2)若向量
与
的夹角为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11228a07d4e58f9cd88592edf2b24851.png)
(1)试求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7a3646b303fbd4ce2dbe768d8a0aae9.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547fe456ec0fb6da86350d14e95dae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f9ee8474d63b06a57c3cd612c7e87d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb49947eb370e18720a191b18796c6f.png)
您最近一年使用:0次
2016-12-01更新
|
1040次组卷
|
7卷引用:2011-2012学年广东省汕头市达濠中学高一上学期期末考试数学
(已下线)2011-2012学年广东省汕头市达濠中学高一上学期期末考试数学陕西省渭南市富平县2020-2021学年高一下学期期末数学试题陕西省延安市宜川中学2020-2021学年高一下学期期末数学试题海南省三亚华侨学校2019-2020学年高一下学期开学考试数学试题湖南省三湘名校教育联盟2020-2021学年高一下学期期中数学试题(已下线)9.3.2第2课时 向量数量积的坐标表示(备作业)-【上好课】2021-2022学年高一数学同步备课系列(苏教版2019必修第二册)黑龙江省佳木斯市第八中学2022-2023学年高二上学期期中数学试题
10-11高一下·广东惠州·期末
解题方法
9 . 设向量
,
,其中
.
(1)若
,求
的值;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62246a851d52f4158447297317178b26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f43530ee11712140b73d94a2dfdbe0b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3712ce4cde0a2c2f4a3d50ff2caca730.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50427e0241186b9b17f3bf22c60cb3d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
您最近一年使用:0次
真题
解题方法
10 . 设向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba19c3eb19129176efcc1199807afa6d.png)
(1)若
与
垂直,求
的值;
(2)求
的最大值;
(3)若
,求证:
∥
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba19c3eb19129176efcc1199807afa6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696bf63a3a726968a19b8927be5a2112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8a7908f3ae75a5c7c965437bd8831f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee4f8ace3f0ecd876552f8a2fa62d4f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3a31177f20d2893c585fafb5db8c331.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b988d54001de969dd72cfd3f5d27de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/696bf63a3a726968a19b8927be5a2112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0928087301c0628fba2a9cd3af14f34d.png)
您最近一年使用:0次
2016-11-30更新
|
442次组卷
|
6卷引用:2010年广东省龙川一中高一下学期期末考试理科数学卷
(已下线)2010年广东省龙川一中高一下学期期末考试理科数学卷(已下线)2011年吉林省实验中学高一上学期期末质量检测数学试卷山东省烟台市栖霞一中高一下学期期末综合测试(四)数学试题陕西省西安市临潼区2020-2021学年高一下学期期末数学试题2009年普通高等学校招生全国统一考试数学试题(江苏卷)辽宁省本溪市燕东高中2019-2020学年高一下学期线上段考新教材数学试题