1 . 已知平行四边形ABCD的三个顶点分别为
,
,
.
(1)求点D的坐标;
(2)求平行四边形ABCD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a16a46f03535c5af872fa8fa9f21a431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02eea25799267c0a948a6a9ffab2ffd9.png)
(1)求点D的坐标;
(2)求平行四边形ABCD的面积.
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2022-05-16更新
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6卷引用:辽宁省县级重点高中协作体2021-2022学年高一下学期期中考试数学试题
辽宁省县级重点高中协作体2021-2022学年高一下学期期中考试数学试题河南省许平汝漯联盟2021-2022学年高一下学期5月大联考数学试题(已下线)第02讲 平面向量基本定理及坐标表示 (精讲)-2023年高考数学一轮复习讲练测(新教材新高考)广东省佛山市十五校2021-2022学年高一下学期第二次联考数学试题河南省南阳市邓州春雨国文学校2022-2023学年高二上学期10月月考数学(文科)试题广东省佛山市实验中学2021-2022学年高一上学期阶段性考试数学试题
解题方法
2 . 已知平面内的三个向量
,
,
.
(1)求
的值;
(2)若
(
,
),求
的值;
(3)若向量
与向量
共线,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dde9cb3c2c078d44940f226ca200762.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b8583acf0b89997429dbbaa837c3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21dc9f82e788085e0bb47709afd53785.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab432c05aa7a81b1e95a072cb1febabe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcc892622eecade579559c789253d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6612afffccf731637a818d5732e5ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d5d06c8ba359e2f95bd6abbeb9d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d5fa4100a6b6e8e2c3605c97e6ee78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2022-03-24更新
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3卷引用:辽宁省名校联盟2021-2022学年高一3月联合考试数学试题
名校
3 . 已知向量
,
,
.
(1)求与
共线的单位向量;
(2)求满足
的实数m,n的值;
(3)若
,求实数k的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e92952ce7fd72b54cbb243d4f3eef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad708a068819ea190463d7583fcbc79a.png)
(1)求与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc15db96ed2450bc4a10c5ede7e68525.png)
(2)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e21d2da07fb16f60927151b7aa68c9.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d158bca9a183a52c53c5398573b6c8a.png)
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4卷引用:辽宁省沈阳市2021-2022学年高一上学期期末数学试题
名校
解题方法
4 . 如图所示,
中,F为BC边上一点,
,若
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18663288c2245e1febaa003e3b58f56a.png)
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899171781083136/2900180063068160/STEM/d02fefa740f549c288bf51c6a4c046ba.png?resizew=199)
(1)用向量
、
表示
;
(2)
,连接DF并延长,交AC于点
,若
,
,求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768c2b6805db2a2055bede1b3dfd7a8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac265febbf99dccf51aa0a2253e61f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18663288c2245e1febaa003e3b58f56a.png)
![](https://img.xkw.com/dksih/QBM/2022/1/21/2899171781083136/2900180063068160/STEM/d02fefa740f549c288bf51c6a4c046ba.png?resizew=199)
(1)用向量
![](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/84b8a2a41a8b50e10d68943e3f0f4e05.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b46315a98b3df380dfb2126fc631c05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55c72ea89a6867f1f0bfb49adeaa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ac92490c0667022859de3535edd947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1100379a4385b9ce064847bc21760adc.png)
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4卷引用:辽宁省营口市2021-2022学年高一上学期期末数学试题
辽宁省营口市2021-2022学年高一上学期期末数学试题(已下线)6.3.1平面向量基本定理(练案)2021-2022学年高一数学同步备课 (人教A版2019 必修第二册)(已下线)第01讲 平面向量的概念及其线性运算 (精练)-2023年高考数学一轮复习讲练测(新教材新高考)湖北省襄阳市第五中学2021-2022学年高一下学期3月月考数学试题
名校
解题方法
5 . 如图:四边形ABCD是边长为4的菱形,∠ABC=
,E为AO的中点,
(
).
![](https://img.xkw.com/dksih/QBM/2022/1/5/2887683522248704/2889328041705472/STEM/0a2b21cd2a38479f9a470780d2e1353f.png?resizew=216)
(1)求
;
(2)求当
取最小值时,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdc606df12191cf0bee588c59eac4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d851749a651ca596427da675769a22e6.png)
![](https://img.xkw.com/dksih/QBM/2022/1/5/2887683522248704/2889328041705472/STEM/0a2b21cd2a38479f9a470780d2e1353f.png?resizew=216)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f3e274022d14a0301ffa33ea7652244.png)
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e88b43edf10fc6ac72ad194082a03e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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7卷引用:辽宁省重点高中沈阳市郊联体2021-2022学年高一下学期期中考试数学试题
名校
6 . 若
、
是两个不共线的非零向量,
(1)若
与
起点相同,则实数t为何值时,
三个向量的终点A,B,C在一直线上?
(2)若
,且
与
夹角为60°,则实数t为何值时,
的值最小?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
(1)若
![](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/22ad1cb3d16b891c1728b7e9e6357e75.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35e9616e55c8107822a14b0c9be94497.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/c8d31bb30d0aada34b929fd8f392b3e9.png)
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|
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5卷引用:第八章 向量的数量积与三角恒等变换 单元检测卷
7 . 已知向量
,
.
(1)求与
同向的单位向量
;
(2)若向量
,,请以向量
为基底表示向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016e4d15ab8f5359f6aa3b42674b0c13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c74938678519f0a05a79d1583a6aee1e.png)
(1)求与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d108e523626be0b40be9b3543ce12524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5456cfa2ed07ff14d58f88f06fe0b764.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
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2019-12-06更新
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3卷引用: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