1 . 在
中,
,BN与CM交于点E,记
,试用
和
表示向量
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66efa8e18c900b0ca6a1d216e6181f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f968d4bca2443672e4f7295a6360e316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e00b863991d441829e9ccbc21a796301.png)
您最近一年使用:0次
2019-12-04更新
|
611次组卷
|
3卷引用:上海市泥城中学2018-2019学年高二上学期第一次月考数学试题
上海市泥城中学2018-2019学年高二上学期第一次月考数学试题浙江省金华市浙江师大附属东阳花园外国语学校2020-2021学年高一下学期第一次质量检测数学试题(已下线)第8章 平面向量(章节压轴题专练)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
名校
2 . 如图,在
中,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/27347cbf-d7cc-4d53-993c-ca2462667d48.png?resizew=163)
(1)若
求
的值;
(2)若非零向量
求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19c43492b3b82e0b5fb2a7ec99e7fd1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63bab38878b2f2a9cf6d7db6659cb51.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/27347cbf-d7cc-4d53-993c-ca2462667d48.png?resizew=163)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63d92e5897f845cde4ca69c38ff583c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)若非零向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fcd03d0fef6030cb57053f62052a5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfd448fc425746173210ab9299d05cd.png)
您最近一年使用:0次
2019-12-02更新
|
483次组卷
|
2卷引用:江西省莲花中学2020-2021学年高一下学期第一次月考数学试题
名校
3 . 已知在
中,
,
.
(1)若
的平分线与边
交于点
,求
;
(2)若点
为
的中点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236f52e04ddbd7253f44b97c4756ef9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c916d5b02f278ee842393dab6dcce4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3138cade6d2056bfca0776279b8ffabb.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b814f637a31a89ef6ab3917ba8648d4.png)
您最近一年使用:0次
2019-11-30更新
|
1502次组卷
|
7卷引用:四川省成都外国语学校2020-2021学年高一4月月考数学(文)试题
四川省成都外国语学校2020-2021学年高一4月月考数学(文)试题浙江省杭州市西湖区杭州学军中学2019-2020学年高三上学期期中数学试题(已下线)【新东方】杭州高三数学试卷260(已下线)专题08 三角形与平面向量结合问题(第一篇)-备战2020年高考数学大题精做之解答题题型全覆盖(已下线)第28讲 向量的分解与向量的坐标运算-2021年新高考数学一轮专题复习(新高考专版)2020届浙江省杭州学军中学高三上学期期中数学模拟试题(已下线)专题06 平面向量的模与夹角 第一篇 热点、难点突破篇(练)-2021年高考数学二轮复习讲练测(浙江专用)
4 . 如图,在平行四边形
中,
为
上一点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/68d85c32-c2a7-40eb-99a5-8c42c7f7b807.png?resizew=199)
(1)试用向量
表示向量
;
(2)若
,求
.
![](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/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa85a8c7deb1370bdec09e1bcacbe891.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/6/68d85c32-c2a7-40eb-99a5-8c42c7f7b807.png?resizew=199)
(1)试用向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b704dc322a545a3ebf6979900d13c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fd9e7ed21b7e6f315ec372c49f25498.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9916354bf269cbfc35ad3d4dcf1f41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cb34c62f897aa82ef66df42e05a30f.png)
您最近一年使用:0次
名校
5 . 在平面直角坐标系中,
为坐标原点,
,
,
三点满足
.
(1)求
值;
(2)已知
若
的最小值为
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/af2b78b43898156b70eb20e632eb3684.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cc7c3c868df85726d6fec8d480e588.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee071259a2a59cd8c09cb3cd44c46ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6552c3a42c2629ef9533f0fc651736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6552c3a42c2629ef9533f0fc651736.png)
您最近一年使用:0次
2019-10-14更新
|
2830次组卷
|
10卷引用:河南省新乡市安阳市鹤壁市顶尖名校2020-2021学年高三10月联考数学理科试题
河南省新乡市安阳市鹤壁市顶尖名校2020-2021学年高三10月联考数学理科试题福建省福州市福清市西山学校2020-2021学年高一3月月考数学试题北京市第十二中学2020-2021学年高一3月月考数学试题山西省潞城区第一中学校2020-2021学年高一下学期第一次月考数学试题辽宁省锦州市辽西育明高级中学2022-2023学年高一下学期第一次阶段性数学试题四川省凉山彝族自治州2018-2019学年高一下学期期末数学(理)试题山东省临沂第一中学2019-2020学年高一下学期期中考试数学试题山东省潍坊一中2019-2020学年高一下学期期中考试数学试题河南省南阳市2019-2020学年高一下学期期末考试数学试题辽宁省凌源市2020-2021学年下学期高二尖子生抽测数学试题
名校
6 . 如图,在
中,已知
为线段
上的一点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/0f34cbcb-00e1-4476-9e1b-fc5cfdba66ab.png?resizew=219)
(1)若
,求
的值;
(2)若
,
,
,且
与
的夹角为
时,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8189f7b0ffe4d20bf0fad43b4ed589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d093706141016f4e2fde905738cd481e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/7/0f34cbcb-00e1-4476-9e1b-fc5cfdba66ab.png?resizew=219)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04b85bd0f7ac267188a0ff3c8e6a62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d74987353e90645db6cfa80bf84dce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881e7b6e25cc9b55004a7419adf234cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07293a24cf2d403f59aa43aaacb8e236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/911c0a2ab5e2e85f1ad267f41cb96b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794efd8cf0cc386faa170d01f357b1c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b02c4c125ca6b5a01b07aa65121919.png)
您最近一年使用:0次
2019-06-21更新
|
948次组卷
|
5卷引用:湖北省荆州市石首一中2020-2021学年高一下学期3月月考数学试题
名校
7 . 在
中,底边
上的中线
,若动点
满足
.
(1)求
的最大值;
(2)若
为等腰三角形,且
,点
满足(1)的情况下,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a930364a80a61992b44287a7d5e028ae.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374447fd9de3d4163b026f08eb253f1d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e778fcd92a0c8890b5cd7bed0615486.png)
您最近一年使用:0次
2019-06-19更新
|
1962次组卷
|
4卷引用:【校级联考】河南省名校联盟2018-2019学年高一5月联考数学试题
【校级联考】河南省名校联盟2018-2019学年高一5月联考数学试题河南省南阳市第一中学校2019-2020学年高一下学期第四次月考(5月)数学试题(已下线)考点58 平面向量的应用(练习)-2021年高考数学复习一轮复习笔记江苏省盐城市第一中学2022-2023学年高三上学期学情调研(三)数学试题
名校
8 . 如图,已知菱形
的边长为2,
,动点
满足
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/9f9d270a-5fed-4582-bf32-3f971d7bbfc8.png?resizew=179)
(1)当
时,求
的值;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eee296a7d9fba487f1485c61580196f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e94e699daf75d152fad3ccb429be147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b7498427f91b17810d1d585fe41d94.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/30/9f9d270a-5fed-4582-bf32-3f971d7bbfc8.png?resizew=179)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a3e3a793d8df4deb46f456cda72b4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a434866e4946822974d4e12248ca85a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/007f6ddde00125486602687230113464.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587b693b82241eb9c32cdbb96c209f33.png)
您最近一年使用:0次
2019-06-11更新
|
1222次组卷
|
5卷引用:山东省烟台市莱阳市第一中学2019-2020学年高三上学期10月月考数学试题
名校
9 .
已知A、B、P三点共线,O为任意一点,若
求证
;
如图所示,已知
中,点B关于点A的对称点为C,D在线段OB上,且
,DC和OA相交于点
设
,
.若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6226cc8306a652f9eac1f4c2f6e6ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a816a6fed5c4bdbeebb19bd21ee247b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66346fb74f131b217e668d44939e5c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aca8e59d29771ec2c5a053ed35e438e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37cba734c5d000acc2161529a539123b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2576165f1246c356e26823a48cfc4667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25e4f91ee364ac0b1490533028cbfb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db1e87964e63f0df4146ed0fe4d1d5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b109838e10fd78330c54d0f03887549.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/17/7724c2d5-76fa-44ab-994d-fe2c20f8a789.png?resizew=142)
您最近一年使用:0次
名校
10 . 如图,平行四边形
中,
,
,
,点
分别为
边的中点,
与
相交于点
,记
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/0133f14e-8403-47fc-a37a-1860ba93874e.png?resizew=204)
(1)用
表示
,并求
;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a46dc0bb5d8fa33583817e530a5d21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac31b9badf70a20d3b7d15f72da16d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1887a1513aee097a396e99d7399c4e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3afb528b6095c9db39b8aa899a33427.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/5/0133f14e-8403-47fc-a37a-1860ba93874e.png?resizew=204)
(1)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6cbb6f308715ba2e58c11e61dc7d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f102e09983c725136c7f79226d2274.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/096c7caef26e2b70590d65aba92da926.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2019-02-02更新
|
1386次组卷
|
3卷引用:【全国百强校】安徽省六安市第一中学2018-2019学年高一下学期第二次阶段检测数学(文)试题
【全国百强校】安徽省六安市第一中学2018-2019学年高一下学期第二次阶段检测数学(文)试题【市级联考】福建省厦门市2018-2019学年高一第一学期质量检测(期末)数学试题(已下线)6.3.1平面向量基本定理(分层作业)-【上好课】