名校
1 . 非零向量
与
满足
,且
,则
的形状为_______________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9795e7f5cb9b366776c41d8f3f43942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be64d59ac6538a0f4d79fb825e082081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adfad642f20e753fe5b026132333672.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1351b0d5de67d577d6e01ad7a726a2af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
2021-07-31更新
|
810次组卷
|
10卷引用:上海市华师附天山中学2018-2019学年高二上学期学期向量单元测验卷
上海市华师附天山中学2018-2019学年高二上学期学期向量单元测验卷上海市华东师范大学附属天山学校2021-2022学年高一下学期期中数学试题上海市周浦中学2018-2019学年高二上学期第一次月考数学试题上海市三林中学2017-2018学年高二上学期第一阶段考试数学试题上海市青浦高中2020-2021学年高二上学期10月月考数学试题上海市市西中学2020-2021学年高一下学期期中数学试题北师大版(2019) 必修第二册 金榜题名 第二章 平面向量及其应用 阶段提升课 第三课 平面向量及其应用(已下线)专题05 向量的综合运算问题 -【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)沪教版(2020) 必修第二册 单元训练 第8章 向量的应用 (B卷)(已下线)第八章 平面向量(6大易错与4大拓展)-单元速记·巧练(沪教版2020必修第二册)
名校
解题方法
2 . 已知平面向量
,
.
(1)若
,且
,求
的坐标;
(2)当
为何值时,
与
垂直;
(3)若
与
的夹角为锐角,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6569e50f43b3d8645652ecc13b62066e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee0c015ebef334e1cce30f1592b5201.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46674852c9878a3ce082c0b7c232bbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec41eae333bbceddb0da14c824324d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41960bbc66bdc3b28be0138f83f9de5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ecb6af2d602608a80170a8f1d0b13e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0067ea61ac2abd75b17f906c13fd6879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2020-09-25更新
|
726次组卷
|
4卷引用:上海市华师附天山中学2018-2019学年高二上学期学期向量单元测验卷
名校
3 . 若
是三个任意向量,则下列运算错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-08-26更新
|
146次组卷
|
7卷引用:上海市华师附天山中学2018-2019学年高二上学期学期向量单元测验卷
4 . 已知
分别是与
轴,
轴正方向相同的单位向量,
,
,对任意正整数
,
,且
.
(1)求实数
的值;
(2)求
;
(3)求
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4868d6790066750d6fc1b361b41bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f9805feaccc59acb61ad9897081faf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03f83ebb40e2de244b71634785d7618.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f07c5cf3bc3271dbbc176caf07312aa.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1a737e6b988763c1ce98c63855784.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7981cba94ea74f5c7669ce43ca37f832.png)
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5 . 如图,
分别是矩形
的边
和
的中点,
与
交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/7f16f0e7-d2ed-4307-85d0-b7b95939a3ed.png?resizew=183)
(1)若
,求:
的值;
(2)设
,试用
表示
;
(3)若
,
是线段
上的一动点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/7f16f0e7-d2ed-4307-85d0-b7b95939a3ed.png?resizew=183)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a468672a7acc80b40561724c3c7975f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c477184b1e9104bac22743ae1817231.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c436b63e793d6d39990341d29cf47f10.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9639896487e6cf18e8fd02d2a7ed2087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7ca0b1b361e8669118d5c990646234.png)
您最近一年使用:0次
2019-10-08更新
|
535次组卷
|
3卷引用:上海市华师附天山中学2018-2019学年高二上学期学期向量单元测验卷
6 . 设非零向量
,则下列条件中:“
与
平行”的充要条件的个数有
①存在一个非零实数
,使
或
;
②
;
③
;
④![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e088ba34d60391d1df4c12f04175bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc5c87ebdae2c835ce265dab64f28e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
①存在一个非零实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33112ff06a48039e615e61b787d748f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e73825f7d2365f557bc23aebffb6c90.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bb7e0a58c44d1841c5514946216cc7.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb26deb7d5a9e3a6154413aac5415a93.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e088ba34d60391d1df4c12f04175bb.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
7 . 如果
是两个非零向量,那么“
”是“
”的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fa2fcefaf3d8868da0cb52877c5247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026015d4806054775ce5b31d8cf0f661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80c3e2215eeeacdd0a093fa13adf9469.png)
A.充要条件 | B.充分非必要条件 |
C.必要非充分条件 | D.既非充分也非必要条件 |
您最近一年使用:0次
8 . 向量
在向量
上的投影为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a00165a62422c537ff7dd411c54e4.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b572cbfe5491fabd42a5fdd4038a50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7372fd6f7226071ad093e6ecabbb37c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a00165a62422c537ff7dd411c54e4.png)
您最近一年使用:0次
2019-10-08更新
|
269次组卷
|
2卷引用:上海市华师附天山中学2018-2019学年高二上学期学期向量单元测验卷
9 . 已知
,点
在线段
的延长线上,且
,则点
坐标为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a34f810854f7d6ac2b11cde263eaa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a949c00526fddf435423272cf10f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600cc8523b298855bd623073af748884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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10 . 在
中,
,则
面积等于____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f279578e8703a916dcddfa6c9dc539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次