名校
解题方法
1 . 平面向量
与
的夹角为
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f233803ccc487b243f31ae3b2846d60.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ff7caec4fdd8fb54a3ffbff9692414.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55b8c3e086bc2e4dc0981a2c0ca3b978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df42687a73cb92e92a3cb6e54f1edb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f233803ccc487b243f31ae3b2846d60.png)
您最近一年使用:0次
2 . 设
、
分别为斜
的外心与垂心,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790865e107bc9c3e39ee46ec34bfca22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
您最近一年使用:0次
2021-08-07更新
|
424次组卷
|
2卷引用:广东省广州市广大附、广外、广铁三校2020-2021学年高二下学期期末联考数学试题
3 . 已知向量
,
,
,则向量
,
夹角的余弦值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15e968508a03c0c471aa56ff426182b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03ef3e7fb905b47f36c4630fcc65dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a1d4345a4ab909d0536cfe5acfbb0b6.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
名校
4 . 平面内非零向量
,
,
,有|
|=3,|
|=4,
=0.且|
﹣
﹣
|=2,则|
|的最大值为___ .
![](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/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c39d1d88189726ae99c309644fca3494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.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/d366d8fbb7258ee051f49977441e14a2.png)
您最近一年使用:0次
2021-07-19更新
|
791次组卷
|
5卷引用:广东省深圳市南头中学2020-2021学年高一下学期期末数学试题
广东省深圳市南头中学2020-2021学年高一下学期期末数学试题山东省新高考质量测评联盟2021届高三4月联考数学试题(已下线)专题03 平面向量中的常用方法 -【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)(已下线)专题07 奔驰定理与四心的相关运算及构造圆解决向量问题-【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)(已下线)专题02 平面向量的相关计算(中档题)-【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)
解题方法
5 . 已知非零向量
,
满足
,且
,则
与
的夹角为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c94cef6cbc6447bffb22724e18b0333.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1caac1cb1aabeb5ebb5b44cf7c6c2524.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
6 . 设非零向量
,
满足
,
,则
与
的夹角为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8094931022b6fc66907ae613e4d7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d884bca4e215fc02a7b2a3e6d0f726ed.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
2021-01-23更新
|
695次组卷
|
3卷引用:黄金卷12 【赢在高考·黄金20卷】备战2021年高考数学全真模拟卷(广东专用)
(已下线)黄金卷12 【赢在高考·黄金20卷】备战2021年高考数学全真模拟卷(广东专用)贵州省贵阳市普通中学2020-2021学年高一上学期期末监测考试数学试题吉林省吉林市永吉县第四中学2022-2023学年高一上学期期末考试数学试题
名校
解题方法
7 . 已知单位向量
,
的夹角为
,
与
垂直,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41960bbc66bdc3b28be0138f83f9de5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7e07c25df57a36d4f1b11d7d9fe16b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
您最近一年使用:0次
2021-02-06更新
|
1136次组卷
|
6卷引用:广东省深圳市南山区华侨城中学2020-2021学年高一下学期3月月考数学试题
名校
解题方法
8 . 已知非零向量
、
满足
,若
,则
、
夹角的大小为_________ .
![](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/ba215bf0e8e98a75a50c63df7179de4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842f26dcc8779e7f71562cb713a5aa70.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
2020-12-03更新
|
341次组卷
|
3卷引用:广东省2021届高三数学八省联考考前模拟仿真模拟卷
9 . 非零向量
,
满足
,且
,则
与
的夹角为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb80eb942aafb194fadc473776f35b1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe105effbcc2a84c449f0d968a47ce6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef8f16f1ca4e00d69e74a30844744de.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
2020-12-01更新
|
948次组卷
|
4卷引用:广东省深圳市盐田区深圳外国语学校2021届高三上学期1月月考数学试题
广东省深圳市盐田区深圳外国语学校2021届高三上学期1月月考数学试题广东省广州市执信中学2020-2021学年高二上学期期中数学试题广东省广州市执信中学2021届高三上学期第四次月考数学试题(已下线)第二章+平面向量(能力提升)-2020-2021学年高一数学单元测试定心卷(人教版必修4)
名校
解题方法
10 . 设
,向量
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a4a010a31650b7a97a2ef7ff43e27e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f23f336ce8fa8a1fd7fb03e5aac59a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a4a010a31650b7a97a2ef7ff43e27e.png)
您最近一年使用:0次
2021-12-09更新
|
482次组卷
|
5卷引用:广东省广州市真光中学2022届高三上学期11月月考数学试题