名校
1 . 已知向量
与
是平面上的一组基向量.
(1)设向量
,试用向量
与
表示
;
(2)设
是实数,向量
,设
与
的夹角为
,
与
的夹角为
.若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33334b6eab967a2c711d713e75371fa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0952a0866dbc96365b8f59cadb9be172.png)
(1)设向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb9792b926454af98341c6aacd19665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720da193aaf7aa394aa2778d32b7737e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/680dbabcc244e6b932a1f0e0390d6e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b28baf17059c56ee9ad1ae4814acd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b04618e5b2db68f2de6ba68972c505c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa3205b1df826d63914dcb55bb3ab43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2020-03-21更新
|
640次组卷
|
5卷引用:上海市控江中学2019-2020学年高二上学期期末数学试题
上海市控江中学2019-2020学年高二上学期期末数学试题沪教版(2020) 必修第二册 同步跟踪练习 第8章 平面向量 8.3~8.4 阶段综合训练(已下线)上海期末真题精选50题(大题基础版)-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)苏教版(2019) 必修第二册 必杀技 第9章 平面向量 9.3 向量基本定理及坐标表示 第9.3节综合训练沪教版(2020) 必修第二册 同步跟踪练习 第8章 8.3-8.4阶段综合训练
名校
2 . 已知
.求:
(1)与
同向的单位向量
;
(2)
在
方向上的投影数量.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c50282d1d7de0d05743a597548d683.png)
(1)与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f31dc44664da770e86e4ffcbd019920a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6df668e585f9561e75fb87f3cd3c5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
您最近一年使用:0次
3 . 已知向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad6af1fb72e6978140a66d6b6273c5f.png)
(1)若
,求
的值;
(2)若
,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad6af1fb72e6978140a66d6b6273c5f.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dced91de1b8c38aa95ffee0e5dc202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d76ee2e81f447f84a3e0b39c0388ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ffc028b08764450cd09c90aa6ae7cfa.png)
您最近一年使用:0次
4 . 设
,
,若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f242f038195884ef098a99a274a1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7113fc8c36a90b7aaadb42fbfd7cad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd916c2b47a2b92493f2fa072024993f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
5 . 已知点
、
、
.
(1)若点
在第二或第三象限,且
,求
的取值范围;
(2)若
,
,
,求
在
方向上投影的取值范围;
(3)若
,求当
,且
的面积为
时,
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32366143230ca122894a4bada7c7b96d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24705e5759ac944559f305c694c9f6d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091acaf5c3cbe20a5fff598323dc82be.png)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4af733c6432ce382a8a3fc19ef315ac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7556b085ed721d309c3376bf5e16ad21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1348dbdeba99934acf4cf5bc6b3bc5a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d00da1c29aea46e36cda0f5780966bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe35c91649a5bea2518387a2b36e0c0d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b0b9a2c33a6b08e739435fc55e0f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c747e93ed8de8ad9b477e9c08c84441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4201d3bead2e48cc80052b1418f23db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
您最近一年使用:0次
2019-11-13更新
|
246次组卷
|
2卷引用:上海市上海交通大学附属中学2016-2017学年高二下学期期中数学试题
名校
6 . 设
,
,
.
(1)求证
,并求
的面积;
(2)对向量
,
,定义一种运算:
,试计算
的值,并说明它与
面积之间的等量关系,由此猜想这一运算的几何意义.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45e324851c5d5c4400c9f670ae945c36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc13bbe262d86497903cf951f09395e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3270494be0f9243c34555a2be8ad40bc.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4145c0fc69cd40771b078e6b732336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(2)对向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5615dd2fa05634dfefb04907774c424.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73df6c9da21eee7f1e745108b2e1f14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d08395e2654380ee3ee6b407d9216b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7806ad29a49a9127a8fea9391b44efb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
您最近一年使用:0次
2019-11-10更新
|
536次组卷
|
4卷引用:上海市川沙中学2018-2019学年高二上学期期中数学试题
上海市川沙中学2018-2019学年高二上学期期中数学试题上海市位育中学2017-2018学年高二上学期10月月考数学试题沪教版 高二年级第一学期 领航者 期末测试卷(已下线)6.3平面向量基本定理及坐标表示A卷
名校
7 . 已知
.
(1)求
的坐标;
(2)设
,求数列
的通项公式;
(3)设
,
,其中
为常数,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200d4dc1aa46c1f73dd5812fa2ef705e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0f6d39ab77d73085c7880e415c0d26.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd5ae4a916eb0e349c43e61d34b82da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4edafd3490d8064e9d6df13e3bf82f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9db0e82dbc1b212dd04e5f8e1012e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877522738ef2132e041cb4584eced64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68fabd2762e59ce00a50c5d3b315dc6d.png)
您最近一年使用:0次
名校
8 . 设向量
,
,
.
(1)若
,求实数
的值;
(2)求
在
方向上的投影.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf63f7acaad3885c57512a39f4865756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002c5922215d45679781b0c31afee517.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89d119171533c6772b734aabc726a656.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f5e1b29a5934d19c2b7c2db800ad5ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
您最近一年使用:0次
2019-08-23更新
|
1157次组卷
|
7卷引用:上海市曹杨二中2018-2019学年高一下期末数学试题
上海市曹杨二中2018-2019学年高一下期末数学试题(已下线)专题2.3 平面向量【专项训练】-2020-2021学年高一数学下学期期末专项复习(沪教版2020)四川省仁寿第二中学、华兴中学2019-2020学年高一5月联考(期中)数学试题四川省宜宾市第四中学2019-2020学年高一下学期第四学月考试数学试题河南省濮阳市2019-2020学年高一下学期升级考试(期末)数学(理)试题河南省濮阳市2019-2020学年高一下学期升级考试(期末)数学(文科)试题(已下线)8.1.1 向量数量积的概念-2020-2021学年高一数学课时同步练(人教B版2019必修第三册)