名校
1 . 已知向量
在向量
方向上的投影为
,
.
(1)求向量
与
的夹角;
(2)求
的值;
(3)若向量
,
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743e28cf06b7b10f09a01c1bb6009e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16219e7df999c4de751c9e31d6505546.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da66865baa047d6445c663d3c6fd9ca.png)
(3)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91894c482a204616cb490a865c518ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c1eefa493c083af932c02efe7b13805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57386626788a3b66e7dba9dd7160e2a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2020-10-23更新
|
458次组卷
|
2卷引用:河北省北京师范大学沧州渤海新区附属学校2021-2022学年高二上学期开学考试数学试题
2 . 已知向量
,
满足:
,
,
.
(1)求
的值;
(2)若向量
,求实数
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/4244dd3d11b8c8131ffecd896c12a27c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03ef3e7fb905b47f36c4630fcc65dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452a62aef64910bff6371096d4a9a132.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/208683a5ffda4cbc3ecfb41a4b0863ee.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5aec0e8aef5946e4aeac7c254809bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
名校
3 . 已知平面向量
、
满足
,
,
与
的夹角为
.
(1)求
的值;
(2)若向量
与
平行,求实数
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/47a99de24f1bdd9dbd91327a25c54f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df42687a73cb92e92a3cb6e54f1edb15.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/f1e5fa72f2878b476bc57f0df12d6555.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e3ad21bb6bc83908297917e4ab1fa6.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375a5489b21231bdc103c2e4ee347afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5398a2268b6ebd50e180c65451aac731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-09-25更新
|
717次组卷
|
3卷引用:湖北省部分重点中学2019-2020学年高一下学期摸底考试数学试题
解题方法
4 . 已知向量
,
,
.
(1)求向量
与
的夹角
;
(2)求
和向量
与
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11371d751417ab83529ccd3c0acc43da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf342e77c56e55a35bb1151bc215a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87bd4adfd5729e18c31763dabc7179a.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cc23a04cdac6439ea170e799f1c1df5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
您最近一年使用:0次
2020-09-22更新
|
293次组卷
|
2卷引用:江西省上饶市横峰中学(统招班)2020-2021学年高二上学期开学考试数学(文)试题
名校
解题方法
5 . 已知向量
,
满足
,
,向量
,
.
(1)若
与
的夹角为
,求
的值;
(2)若
,求向量
与
的夹角
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6689f338000cfcf6808f6f0cc9add98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709c8d14cbb8baeb517cc76ddbef71e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344049cd15d02dc30e967c99d14ea511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2c46020b33b1768fea448238049031d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d389d1c52f1a780530045feee764c7f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6570cd7c2f81c9fcffd2c64664f1564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0beae8bf9b73e47f255a6399543223a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55607560648c256772366af8a0dcb16d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff409cd3886c767afb13c9a869c5f23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6570cd7c2f81c9fcffd2c64664f1564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
2020-09-16更新
|
302次组卷
|
3卷引用:湖南省娄底市第一中学2020-2021学年高二上学期开学考试数学试题
湖南省娄底市第一中学2020-2021学年高二上学期开学考试数学试题江苏省南通市海门实验学校2019-2020学年高一上学期期末模拟数学试题(已下线)模块三 专题4 大题分类练(平面向量)基础夯实练(苏教版)
名校
解题方法
6 . 已知
,
,
.
(1)若
,
,
三点共线,求
的值;
(2)在(1)的条件下,求向量
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc0930e0ee259acd3a31ead66ce06c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85bd5bb9a5c57f376706957d032394e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1277d2f0487863ca1ebd5bec2ac54066.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)在(1)的条件下,求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1da92a2fc2ce861e82f7192fe4e648f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84a1a69d7460d12d4facd43e0d941190.png)
您最近一年使用:0次
2020-09-16更新
|
346次组卷
|
3卷引用:宁夏吴忠市吴忠中学2020-2021学年高二上学期开学分科考试数学试题
宁夏吴忠市吴忠中学2020-2021学年高二上学期开学分科考试数学试题(已下线)6.3.5 平面向量数量积的坐标表示(分层练习)-2020-2021学年高一数学新教材配套练习(人教A版2019必修第二册)第1章平面向量及其应用 综合检测
名校
7 . 已知单位向量
的夹角
,向量
.
(1)若
,求
的值;
(2)若
,求向量
的夹角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa9cb58002d6dcb6e5670419cf3f3dd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297ba9edb3ee2bf73d7fc779aab6f949.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076559f08d17fb25e82886e791719e52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbeede118c407a800b05757b9a1393e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71aa00475428e1aa7c3e03a4d96e9d87.png)
您最近一年使用:0次
2020-09-13更新
|
1942次组卷
|
7卷引用:天津市第二中学2020-2021学年高二上学期开学考试数学试题
名校
解题方法
8 . 已知
,
,
.
(1)求
与
的夹角θ;
(2)求
和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51b472b5fa672d675040ee5899bbed76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d3eab962bfddbb688c9bf843f0f1b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfea66b74665e4d4d671a71f5436a54a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f11ac1bd265894c8057f665c203051e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3357a4707fbe4ef93661a64e88881d40.png)
您最近一年使用:0次
9 . 已知向量
,
,且
.
(1)求向量
与
的夹角;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9e5ebfa204dc367af5e20f46719381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c987ce513e8ec4428df22e284cbf4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ec6f6f6c6585cefa46a9197143a0e5d.png)
(1)求向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07882aa0d4087bd4e551dbfa437e31d.png)
您最近一年使用:0次
2020-12-14更新
|
1613次组卷
|
23卷引用:浙江省台州市书生中学2021-2022学年高二上学期起始考数学试题
浙江省台州市书生中学2021-2022学年高二上学期起始考数学试题四川省遂宁市2018-2019学年高一下学期期末数学试题辽宁省辽阳市2019-2020学年高一下学期期中考试数学试题四川省眉山市2019-2020学年高一下学期期末考试数学试题上海市上海师范大学附属中学2020-2021学年高二上学期期中数学试题浙江省精诚联盟2020-2021学年高一下学期3月联考数学试题(已下线)【新东方】双师160高一下(已下线)【新东方】双师166高一下(已下线)第14讲 向量单元复习(讲义)-【教育机构专用】2021年春季高一数学辅导讲义(沪教版2020必修第二册)(已下线)【新东方】高中数学20210527-025【2021】【高一下】沪教版(2020) 必修第二册 高效课堂 册末测试卷河北省唐县第一中学2020-2021学年高一下学期期中数学试题湖南省怀化市沅陵县第一中学2020-2021学年高一下学期期中数学试题吉林省汪清县汪清第四中学2020-2021学年高一下学期第二次阶段考试数学试题吉林省长春市第二十九中学2020-2021学年高一下学期期中数学试题江苏省扬州市高邮市临泽中学2020-2021学年高一下学期期末模拟数学试题云南省曲靖市关工委麒麟希望学校2020-2021学年高二上学期第一次教学质量检测数学试题云南省昆明市第八中学2020-2021学年高一平行班下学期第一次月考数学试题江苏省南京市秦淮中学2021-2022学年高一下学期期中数学试题第二章 平面向量及其应用 B卷 能力提升—2022-2023学年高一数学北师大版(2019)必修第二册山东省滨州市博兴县2022-2023学年高一下学期期中考试数学试题第一章 平面向量 单元测试山东省滨州市沾化区、阳信县2022-2023学年高一下学期期中考试数学试题
名校
10 . 已知复数
满足
,且
的虚部为
,
在复平面内所对应的点在第四象限.
(1)求
;
(2)若
,
在复平面上对应的点分别为
,
,
为坐标原点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/120c918df71d183fd920f40f74d4cd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(2)若
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3daae8ec60b2b1f7577dee687247cebb.png)
您最近一年使用:0次
2020-08-03更新
|
582次组卷
|
4卷引用:河北省任丘市第一中学2021-2022学年高二上学期开学考试数学试题