解题方法
1 . 在
中,D是BC的中点,E是AD的中点.若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636af1c1db008460ce102ccdfc5bd7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/808382ba1d893826a026d85e0cd67609.png)
A.![]() | B.![]() | C.-1 | D.1 |
您最近一年使用:0次
解题方法
2 . 如图所示,在
中,
.
(1)试用向量
来表示
;
(2)若
交
于点O,求
及
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/563408b93a2863462a20ac953abedcfa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/16/9af25c32-4fb9-4d03-a727-97d787977133.png?resizew=196)
(1)试用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffa39dbe3bcff9f2748416046aec4b8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5400455a4324e702e798ea27cf0db841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f67b3a0878c7f08f7393cd06ccede0ea.png)
您最近一年使用:0次
名校
3 . 如图所示,在中,点
是
的中点,点
是靠近点
将
分成
的一个三等分点,
和
交于点
,设
、
.
(1)用
![](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/ef8337706c550bc095d7a2bd872221a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c085dbb9d78aef7d81c3f4d6855f067b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c70d3674afde7efd0bbafc68e50b828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-07-29更新
|
366次组卷
|
11卷引用:沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.3.1 向量基本定理
沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.3.1 向量基本定理沪教版(2020) 一轮复习 堂堂清 第六单元 6.2 向量的分解定理河北省石家庄市二中2022-2023学年高一下学期第一次月考数学试题.第8章 平面向量(B卷·能力提升练)-【单元测试】2022-2023学年高一数学分层训练AB卷(沪教版2020必修第二册)河南省新乡市新誉佳高级中学2022-2023学年高一下学期3月月考数学试题广东省东莞市东莞中学松山湖学校2020-2021学年高一下学期5月月考数学试题2.3.2向量的数乘与向量共线的关系 同步练习2020-2021学年高一下学期数学北师版(2019)必修第二册第六章 平面向量初步 单元检测卷-2022-2023学年高一上学期数学人教B版(2019)必修第二册(已下线)第九章 平面向量(知识归纳+题型突破)2-单元速记·巧练(苏教版2019必修第二册)辽宁省普通高中2023-2024学年高一下学期开学考试(3月初月考)数学试题河北省沧州市泊头市第一中学2023-2024学年高一下学期3月月考数学试题
解题方法
4 . 已知四边形ABCD是平行四边形,
, 若EC与BD交于点O,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79b194152945f719c21bbe5d525338d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887dcedf74b664fec90242cec0c4d8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5085e3cdef9ea6c564e079f745d6fdb.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 .
是
的一条中线,点
满足
,过点
的直线分别与射线
、射线
交于
,
两点.
(1)设
,
,
,
,求
的值;
(2)如果
是边长为2的等边三角形,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f850c528b8d4dfcd956914e5c118df6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fa908112806dc176b8abdc3b3aaa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a93a467f11c29aa3ec6124398b1c5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e62ba44cbfec6823ebc1f0c7457fb.png)
(2)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dfdcb46ca7d659aadac17e09fad3d65.png)
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解题方法
6 . 下列命题正确的是( )
A.若向量![]() ![]() ![]() |
B.已知平面内的一组基底![]() ![]() |
C.模等于1个单位长度的向量是单位向量,所有单位向量均相等 |
D.在![]() ![]() ![]() |
您最近一年使用:0次
名校
7 . 如图,在直角
中,角
为直角,点
是
边的中点,点
满足
,点
是
边上的动点.
是
边上靠近
的三等分点,设
,求
的值;
(2)若
,求
的取值范围.
![](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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c25b4eaeb8a21232237508c8f5c6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb9eaea06e0523a695a16fd1921d56c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075c7c1a177dd21015775509836522e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6031ae3a08959dc93df0b09c11f113d.png)
您最近一年使用:0次
2023-07-27更新
|
540次组卷
|
4卷引用:贵州省安顺市2022-2023学年高一下学期期末教学质量监测数学试题
贵州省安顺市2022-2023学年高一下学期期末教学质量监测数学试题(已下线)第三节 平面向量的数量积及应用 B素养提升卷吉林省长春市东北师范大学附属中学2023-2024学年高一下学期5月期中考试数学试题(已下线)高一下学期期末复习解答题压轴题二十四大题型专练(1)-举一反三系列(人教A版2019必修第二册)
名校
8 . 如图,在
中,
为
上一点,且满足
,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c472f1a9d2edade0d0470036082e6eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da18267294924c440b4a5e1d08dd928.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84b847c5f6e804780a93550012b9374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/596f68ba4b746cab4b2c26ffce554b5a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/0f287ead-1785-4736-91b3-2d423b812ab1.png?resizew=198)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-07-26更新
|
886次组卷
|
3卷引用:广西壮族自治区玉林市2022-2023学年高一下学期期末教学质量监测数学试题
9 . 已知
,
,如图,在
中,点
,
满足
,
,
是线段
上靠近
的三等分点,点
为
的中点,且
,
,
三点共线.
(1)用
,
来表示
;
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70fa908112806dc176b8abdc3b3aaa92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a93a467f11c29aa3ec6124398b1c5a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/29/d3e69d81-45e1-40ec-a4b3-1a5fa9a80d9c.png?resizew=150)
(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)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32043a653eba02c79ae6395b3bcb34f.png)
您最近一年使用:0次
10 . 在
中,
,
,若D是AB的中点
,则
;若D是AB的一个三等分点
,则
;若D是AB的一个四等分点
,则
.
(1)如图①,若
,用
,
表示
,你能得出什么结论?并加以证明.
(2)如图②,若
,
,AM与BN交于O,过O点的直线l与CA,CB分别交于点P,Q.
①利用(1)的结论,用
,
表示
;
②设
,
,求证:
为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e923e4cdcbea6a029f5ba188a59229d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb95d089784702a0b6d459f18a4e1e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0997b1534ce4817fdc86c4b6c75db29d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2634228ecbd45ba775dca73eaf1cc63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bdd1229d9e121bc3bdb2339e76f3e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda838437dab97586710b6220ee74dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/075e483c30716072375e7db13e84ad07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1030db2fcd7b8f3f0eae7eb063fb7cba.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/28/1e3da6d3-e471-4d60-901e-c428805cbbdb.png?resizew=379)
(1)如图①,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b83647557c93d7f7e9ceee524601a1.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/bc1070a28cb9cb8553c29747d1993b16.png)
(2)如图②,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee5388f2e85a72e2414928ff69e0fd13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1cd8790d5f3cc008befd52e46f42001.png)
①利用(1)的结论,用
![](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/b0260317a23090e4a019f76ae08614f5.png)
②设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c85b08638081ff0c9651e4ca5792669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e8454ef2c08a243be83057c34de2f0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b7e12253044b5abff2a56dcd730ced8.png)
您最近一年使用:0次