名校
解题方法
1 . 写出一个与向量
的夹角为75°的向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8faa8be41d2c7612769d4ad94ada0eca.png)
___________ .(答案不唯一,写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d2929142df53a49061493001555201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8faa8be41d2c7612769d4ad94ada0eca.png)
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2022-09-11更新
|
436次组卷
|
4卷引用:江西省上饶市横峰中学2022-2023学年高二上学期开学考试数学试题
2 . 写出一个与向量
的夹角为45°的向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a990fff176ad776384e5c73687bf22e6.png)
__________ .(答案不唯一写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc038d02f8c463d4102ac1d730408e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a990fff176ad776384e5c73687bf22e6.png)
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2022-09-29更新
|
365次组卷
|
4卷引用:云南省宣威市2021-2022学年高二下学期期末学业水平检测数学试题
名校
解题方法
3 . 若对
个向量
存在
个不全为零的实数
,使得
成立,则称向量
为“线性相关”,以此规定,能说明
线性相关”的实数
依次可取的一组值是____________ (只要写出一组答案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bac57d04a1d34c151d6ded2c66f5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e540ef465ca68c186cc972d54d3a268e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6e412a8f66778a443e7b1bc8a432be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7bac57d04a1d34c151d6ded2c66f5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28e41b5aad4f0208653b0cc92f6cbec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dca1726d463bd741c904abd9b6589056.png)
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2019-12-06更新
|
246次组卷
|
5卷引用:上海市新川中学2018-2019学年高二上学期期中数学试题
上海市新川中学2018-2019学年高二上学期期中数学试题沪教版(上海) 高三年级 新高考辅导与训练 第八章 向量 一、平面向量沪教版(2020) 必修第二册 新课改一课一练 第8章 8.3.1向量基本定理山东省东明县第一中学2022-2023学年高一下学期3月月考理科数学试题(已下线)核心考点1 平面向量的运算 B提升卷 (高一期末考试必考的10大核心考点 )
4 . 在平面直角坐标系xOy中,已知向量
,
,
,且满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7481aca88fa2c15f6f9162080b37f0d2.png)
______ (写出满足条件的一种表示即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c099ae006fe651453b301454bdc0999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d37080e5a545f0e256105c786640e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c06dd0ce8cba5ae0e251cb90ec94cf9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c9e602f8855225688f3c5f4c6a10d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7481aca88fa2c15f6f9162080b37f0d2.png)
您最近一年使用:0次
2022-08-23更新
|
274次组卷
|
3卷引用:甘肃省临夏回族自治州2021-2022学年高二下学期期末数学理科试题
名校
5 . (1)定理证明:请用向量方法证明余弦定理(只需证明其中的一个式子即可);
(2)定理应用:如图,在平面四边形ABCD中,
,求AD的长.
(2)定理应用:如图,在平面四边形ABCD中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8203a2c59475097eab263e34f2d1ee80.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/30/d4033fca-40ec-4938-b964-5c651d1d1fb7.png?resizew=111)
您最近一年使用:0次
2022-07-17更新
|
354次组卷
|
2卷引用:安徽师范大学附属中学2022-2023学年高二上学期入学考试数学试题
名校
解题方法
6 . 已知向量
,非零向量
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a61b7005fda09413fcfea33c3e7b797.png)
___________ .(写一个向量坐标即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35b2bcf3f08318480aaaaf138bbef11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a61b7005fda09413fcfea33c3e7b797.png)
您最近一年使用:0次
名校
7 . 直线
的方向向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02d1784da2328937c2701861255b4bd.png)
________ (写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/962b58f6e56b0bdd3d356b016a16760b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02d1784da2328937c2701861255b4bd.png)
您最近一年使用:0次
2019-12-10更新
|
96次组卷
|
2卷引用:上海市上师大附中2018-2019学年高二上学期期中数学试题
8 . 已知向量
,向量
,(其中
,
,
,
).定义:
.
①若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5551fb0492bc25596cabb007fe565389.png)
__________ ;②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7481aca88fa2c15f6f9162080b37f0d2.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a990fff176ad776384e5c73687bf22e6.png)
__________ (写出一组满足此条件的
和
即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42fecd8495150d3bed02f3981827939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a941d0be7b4de9fae9c0b6fa1379da2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e1c303cebf30c5dbb53dbcdd202a3ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747a5e90959a4019e6d057599ddfdedb.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788fa471d53a8be8dd55f561aecbf99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783c4278864f850dc5b59d073a692f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5551fb0492bc25596cabb007fe565389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e8343408ada454640fc229dfae1315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7481aca88fa2c15f6f9162080b37f0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a990fff176ad776384e5c73687bf22e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
您最近一年使用:0次
9 . 已知
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
________ ;若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
________ .(后面两空写出一组即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0f582ec6804097bce2e5871049a427e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b80aeef6b80aad33c91301d89fe4d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/523c74d21b7934a09348b1a01e1ae606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12976a4d92584494d1c2c714684d45b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
您最近一年使用:0次
10 . 已知平面向量
,平面向量
,(其中
).
定义:
.若
,
,则
=_____________ ;
若
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
_________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
__________ (写出一组满足此条件的
和
即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42fecd8495150d3bed02f3981827939.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a941d0be7b4de9fae9c0b6fa1379da2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6cf7cc0b0645eac4f258cfa4cde172.png)
定义:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747a5e90959a4019e6d057599ddfdedb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/788fa471d53a8be8dd55f561aecbf99d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783c4278864f850dc5b59d073a692f34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766d2289251ed3e8721ab452f52eda39.png)
若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e8343408ada454640fc229dfae1315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/780826cfd4f1f53a124e1c9cd12a13c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791f36f1f9e630e3bf64cffc76302428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
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