解题方法
1 . 如图,在平行四边形
中,
,
,
,点
是
的中点,连接
,记它们的交点为点
,设
,
.
(1)用
表示
;
(2)求
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf80b036459da6dcb841a4bbe3859fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d26633cc499d15d86afb2f54a492cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3adc4ed291596abf3bb93ae7a075d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e984585ddf28c039219afcebf229de7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/16/edf021d5-0c9f-4d9d-a59a-75cd098d2841.png?resizew=193)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538c1a9e933bc1e29d785eeda9cd1abc.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9825d8ab513f240e2c82167c8c809e24.png)
您最近一年使用:0次
2023-07-26更新
|
521次组卷
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4卷引用:石家庄二中实验学校2022-2023学年高二下学期假期学情监测数学试题
名校
2 . 如图,在平行四边形
中,E为
的中点,设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/28/3721bfcc-e306-4fac-8c15-a44be12bbc57.png?resizew=162)
(1)用
表示
;
(2)若
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dfdbbc32d83b85bf7725dbb320ca09e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/28/3721bfcc-e306-4fac-8c15-a44be12bbc57.png?resizew=162)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b901cc29a51575d40f331c7b9b1e696f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dfabf6cb16f5318fcd3e74a15f7050.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3759fcbcb494ab40b4821d5285959cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c2372bef75fa2ba16e360b552fcf6cd.png)
您最近一年使用:0次
2023-04-24更新
|
521次组卷
|
2卷引用:河北省石家庄市十五中2022-2023学年高一下学期第一次月考数学试题
名校
解题方法
3 . 已知平面向量
,
,
.
(1)若
,求x与y之间的关系式;
(2)在(1)的条件下,若
,求x,y的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458cdbb82e1e4d013256a285b9fb30dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a1d27a95a65d5f5c0b0bc2b1471d855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b8352ddaa902cbf7f8b9f4eb1b75e7e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2014e09cbd83a0600b8f98f9623d0a5.png)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc9448c4e9a71c0ec8a1de4904b7bd7.png)
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4 . 化简下列各式:
(1)(
+
)+(![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eec39ea9c89f33bbf117b60b39fbc34.png)
);
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0b77c5efb0171e572616cd663d2e4.png)
;
(3)
;
(4)
;
(5)
(1)(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42518891f8d7c97b5fb700de3440257b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eec39ea9c89f33bbf117b60b39fbc34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1f02d666ecf3360b8f8e7e37975016.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de0b77c5efb0171e572616cd663d2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc2f5ebf4a5f75d85e8b1ee7779a71a.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619321979a7c9e0dd54091b54d1a1114.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec30994403b717f08912732b22be5708.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3a7011ab96c4a4a76d9beb5321ac88.png)
您最近一年使用:0次
2023-03-13更新
|
1419次组卷
|
9卷引用:河北省石家庄市元氏县音体美学校2022-2023学年高一下学期期中数学试题
河北省石家庄市元氏县音体美学校2022-2023学年高一下学期期中数学试题(已下线)6.2 平面向量的运算(学案)-2022-2023学年高一数学一隅三反系列(人教A版2019必修第二册)山东省德州市陵城区祥龙高级中学2022-2023学年高一下学期3月月考数学试题(已下线)第03讲 6.2.2向量的减法运算-【帮课堂】(人教A版2019必修第二册)(已下线)6.2.2 向量的减法运算(分层作业)-【上好课】(已下线)6.2.2 向量的减法运算-高频考点通关与解题策略(人教A版2019必修第二册)(已下线)2.2 从位移的合成到向量的加减法-同步精品课堂(北师大版2019必修第二册)(已下线)2.2 从位移的合成到向量的加减法6种常见考法归类-【帮课堂】(北师大版2019必修第二册)(已下线)6.2.2?向量的减法运算——课后作业(巩固版)
名校
5 . 如图所示,在
中,D为BC边上一点,且
.过D点的直线EF与直线AB相交于E点,与直线AC相交于F点(E,F两点不重合).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/4d3b5000-2fae-47a8-b4d0-0ac2728d5337.png?resizew=184)
(1)用
,
表示
;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff400c098ae6bf6abd24651a5a21114e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/28/4d3b5000-2fae-47a8-b4d0-0ac2728d5337.png?resizew=184)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abcb5d89b04570ceda2c29e11cb27a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5f1b06a56fc382feed28e01f1ad102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304a7f07db2ec637baadf8f0ab91c85c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4425dc7c346e4597c0521d7f636174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3605b320cae7b4a85aa273dfb7e606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c227da7ad9d24ae3e3740febf9f293.png)
您最近一年使用:0次
2022-12-30更新
|
2717次组卷
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19卷引用:河北省高碑店市崇德实验中学2022-2023学年高一下学期2月月考数学试题
河北省高碑店市崇德实验中学2022-2023学年高一下学期2月月考数学试题辽宁省大连市2022-2023学年高一上学期期末数学试题(已下线)6.3.1-6.3.3 平面向量基本定理、正交分解及坐标表示、加、减运算的坐标表示2-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)第六章《平面向量及其应用》同步单元必刷卷(培优卷)-2022-2023学年高一数学《考点·题型·技巧》精讲与精练高分突破系列(人教A版2019必修第二册)(已下线)6.3.1 平面向量基本定理(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)(已下线)9.3.1 平面向量基本定理1第九章 平面向量(A卷·基础提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(苏教版2019必修第二册)(已下线)第9章:平面向量 重点题型复习-【题型分类归纳】2022-2023学年高一数学同步讲与练(苏教版2019必修第二册)(已下线)专题6.13 平面向量的综合运用大题专项训练(30道)-2022-2023学年高一数学举一反三系列(人教A版2019必修第二册)(已下线)第六章:平面向量及其应用 重点题型复习(1)-【题型分类归纳】(已下线)模块三 专题5 大题分类练(平面向量)基础夯实练(北师大版)(已下线)模块三 专题4 大题分类练(平面向量)基础夯实练(人教A)(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)(已下线)期末专题04 平面向量大题综合-【备战期末必刷真题】湖北省荆州市荆州区2022-2023学年高一下学期期中联考数学试题云南省昆明师范专科学校附属中学2022-2023学年高一下学期6月质量监测数学试题河南省南阳市唐河县文峰高级中学2022-2023学年高一下学期期中模拟(一)数学试题辽宁省葫芦岛市第一高级中学2023-2024学年高一上学期期末复习数学拓展提升卷(二)江苏省连云港市赣榆第一中学2022-2023学年高一下学期3月月考数学试题
6 . 已知
,
为两个不共线的向量,若四边形
满足
,
,
.
(1)将
用
表示;
(2)证明:四边形
为梯形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56eda4bb8604c18d0016a4377d05435a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39d0ddb3cbd86a4c6e6cfb5ade5ce11f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f1e2385bc023503dfae7575ef419c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2883958c1f341faaf13e97f4e63d1a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15eab7eb2711107ab8be36f663ccd785.png)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd98a891fa65f2fc6688001b03185d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68c13ade21d57fd6e4baa45804e3cd27.png)
(2)证明:四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2022-08-16更新
|
367次组卷
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8卷引用:2016-2017年河北武邑中学高二理周考10.23数学试卷
2016-2017年河北武邑中学高二理周考10.23数学试卷人教A版 必杀技 第二章 平面向量 2.3.1平面向量基本定理人教A版(2019) 必修第二册 必杀技 第6章 第6.2节综合训练(已下线)6.2.3 向量的数乘运算(练习)-2020-2021学年下学期高一数学同步精品课堂(新教材人教版必修第二册)苏教版(2019) 必修第二册 必杀技 第9章 平面向量 9.2 向量运算 第9.2节综合训练(已下线)6.2.1向量的加法运算(分层作业)-【上好课】2022-2023学年高一数学同步备课系列(人教A版2019必修第二册)(已下线)6.4.1 平面几何中的向量方法(精练)-【题型分类归纳】2022-2023学年高一数学同步讲与练(人教A版2019必修第二册)(已下线)核心考点01平面向量及其应用(1)
7 . 已知
是夹角为
的单位向量,且
,
.
(1)求
;
(2)求
与
的夹角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42503437fb44722722cd20835f11d233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eb2e5b19da6f4c768f72c2dafc865e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/689d48deca39b26dfcabb3f89a73b6e3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d716f2f7c457cd68ebe38672ab23873.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2150cb0060a14e88e93c33cf456ae832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515b1e449cde902a74977b1fc3b31100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
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2017-07-24更新
|
1317次组卷
|
8卷引用:河北专版 学业水平测试 专题六 平面向量
解题方法
8 . 如下图所示,在平行四边形
中,
,
,用向量
,
表示
,
,并回答下面几个问题:
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619407843115008/1619407843614720/STEM/c9a3fee157034d688aee2f5d739d763f.png?resizew=319)
(1)当
满足什么条件时,
与
垂直;
(2)当
满足什么条件时,
;
(3)
与
有可能是相等向量吗.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac265febbf99dccf51aa0a2253e61f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a44a918c7cfd942d3a53e584c26685a8.png)
![](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/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fe7e40356acd24eb908a7f3ab28229.png)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619407843115008/1619407843614720/STEM/c9a3fee157034d688aee2f5d739d763f.png?resizew=319)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb371bd7728c6d6a16533a93924ad998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11042e4d0e1a076a9a5a6b2611db5256.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bca35e52b8430246a1cf96e9e617cce.png)
您最近一年使用:0次
解题方法
9 . 如图所示,在正五边形
中,
,
,
,
,
,求作向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a7ce7f0ea7488f6efbebe63a32612fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c027f162590bc6b337e4fdc08ecb2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cd29d680fcd2b4161aed2f2e824c95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48144e437f8f857b7911a3021c45d2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8501e0809b9c8a75938796c8c7a0bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7605b5e6fcc887409ace7b42efefa653.png)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619407376867328/1619407377375232/STEM/9ba97a2af27940cebd7199607cc0f99b.png?resizew=149)
您最近一年使用:0次