名校
解题方法
1 . 若向量
满足
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a035c8861e9fa9369d20d6b531d88dc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34e25b1a7b5634096688306cd52b243f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf342e77c56e55a35bb1151bc215a3a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c8feca6e03d79ad46b8e7ecc524f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a035c8861e9fa9369d20d6b531d88dc.png)
您最近一年使用:0次
2024-04-16更新
|
1846次组卷
|
14卷引用:安徽省芜湖市2020-2021学年高一下学期期中联考数学试题
安徽省芜湖市2020-2021学年高一下学期期中联考数学试题安徽省六安市第一中学2019-2020学年高一下学期期中数学(理)试题上海市七宝中学2021届高三下学期开学考试数学试题山东省莱芜一中2020-2021学年高三第上学期第一次质量检测数学试题广东省江门开平市忠源纪念中学2021-2022学年高一下学期期中数学试题黑龙江省西北部八校2021-2022学年高一下学期期中联考数学试题山西省大同市浑源县第七中学校2022-2023学年高一下学期期末考试数学试题 广东省茂名市高州市第一中学2023-2024学年高一下学期期中考试数学试题(已下线)高一 模块3 专题1 第3套 小题入门夯实练【人教B版】(已下线)高一 模块3 专题1 第3套 小题入门夯实练【北师大版】宁夏回族自治区石嘴山市第一中学2023-2024学年高一下学期5月期中数学试题河南省郑州市中牟县第一高级中学2023-2024学年高一下学期5月月考数学试题(已下线)专题03 平面向量的9种常考题型归类(1)-《期末真题分类汇编》(北师大版(2019))(已下线)高一下学期期末模拟卷(范围:必修第二册全册)-同步题型分类归纳讲与练(人教A版2019必修第二册)
名校
解题方法
2 . 菱形ABCD,对角线AC=4,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ba370a3912d1a983146af9c7f9c950.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ba370a3912d1a983146af9c7f9c950.png)
您最近一年使用:0次
2022-02-27更新
|
495次组卷
|
2卷引用:安徽省六安中学2021-2022学年高三上学期第三次月考理科数学试题
名校
解题方法
3 . 已知向量
,
,
,满足
,
,
,
,若
,则
的最小值为______.
![](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/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70e310702748855c3edccd151aae0143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3361b587b611701daf8078c1b2d8e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3ede869e508a8c8bda34a16782f863.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/960f1f384a2f2c010bd57b4c4e6e2233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb56b1fe3f72a01088d4bc77df537105.png)
您最近一年使用:0次
4 . 关于平面向量
,
,
,有下列三个命题:
若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a90f1e7b09ade6210e2ded8598827a.png)
若
与
都是非零向量且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365bd99cb0b76beef222020e02becf77.png)
非零向量
和
满足
,则
与
的夹角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
其中真命题的序号为______
写出所有真命题的序号
![](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/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9661012a4fdc3bbe8b95a2896a88ba8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a90f1e7b09ade6210e2ded8598827a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbdb82455bba02bddce8d3cca6affbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9661012a4fdc3bbe8b95a2896a88ba8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365bd99cb0b76beef222020e02becf77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.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/56f74bc070fecea6d8b6949d9f431a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9cd8bbf47b69bbd7a6263b041290d11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
其中真命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a301324443eb93b467134a86890dd9ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
您最近一年使用:0次
5 . 已知非零向量
,
满足
,且
,则
与
的夹角为__________ .
![](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/dbc60f68671bbc400e15970046d4e18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7be9bd5a151d3e250051cc7c3b05930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
您最近一年使用:0次
名校
解题方法
6 . 已知
,
,
,则向量
与
的夹角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ebec48118c79189fdfc2dba69bb803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b042f4332dbe209fe571a485cabdd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b377eb717740840940611b75babe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a92e6eba8dab638fd66831cd3a0b6d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/427fa45527d0ce469bfd060bf6f991f3.png)
您最近一年使用:0次
2021-08-12更新
|
118次组卷
|
2卷引用:安徽省宣城市泾县中学2020-2021学年高一下学期第二次段考数学试题
名校
解题方法
7 . 已知非零向量
与
满足
且
,若
,则
的面积为___________ .
![](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/941fd699585556fcf4ddc9eaf0eb4b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0e0a61bc7aedebcb4a10b423d21e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
解题方法
8 . 平面向量
满足
,
,且
,则向量
与
的夹角为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccba3b87a8a48ac3dd5f72d00bdb1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479779070b95c1c2845f0a24dc8d5f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082c6926889f84f438ea35f70bf05f02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e24dbde660cd615de8fcb770bba681.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 . 已知单位向量
满足:
,则向量
与向量
的夹角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad59ee7969f2a082ed53bdf0aaa748ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a58b6ab87dd36453318c55ef93256e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2868a9fe011f56a80c9d1a8ee4604d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fe4e713c108e118522a99ecd683924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
您最近一年使用:0次
解题方法
10 . 已知单位向量
,
满足:
,则向量
与向量
的夹角![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a51625aa29680efa0e12c1584388ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8604f9320fb0b70858342cafc0d0f1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/682503fcd3aff080626d17b15c211d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a51625aa29680efa0e12c1584388ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8604f9320fb0b70858342cafc0d0f1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b657cfa91b6394e4b00fa385a2c0149.png)
您最近一年使用:0次
2021-02-03更新
|
508次组卷
|
2卷引用:安徽省蚌埠市2020-2021学年高三上学期第二次教学质量检查理科数学试题