名校
解题方法
1 . 已知平面向量
满足
,且
,则
=_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3297378b5981f4096dcd00ff6188d3e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd77a5a0fb585e8f9884da3195aae952.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93af88a7628c71d642d3a6df067c15f5.png)
您最近一年使用:0次
2023-05-27更新
|
1389次组卷
|
9卷引用:江西省南昌市部分学校2023届高三模拟考前押题模拟预测数学(理)试题
江西省南昌市部分学校2023届高三模拟考前押题模拟预测数学(理)试题江西省南昌市部分学校2023届高三模拟考前押题模拟预测数学(文)试题河南省郑州市九师联盟2023届高三考前预测押题理科数学试题河南省郑州市九师联盟2023届高三考前押题卷文科数学试题河南省驻马店市2023届高三三模文科数学试题河南省开封市杞县等4地2022-2023学年高三下学期期末考试文科数学试题河南省驻马店市2023届高考三模理科数学试题(已下线)考点巩固卷12 平面向量(十二大考点)(已下线)第02讲 平面向量的数量积及其应用(七大题型)(讲义)
解题方法
2 . 如图,在
中,
,
且
,则
面积的最大值________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe79d3cd00c5f2ce11b00c9d109a923.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1a106e4f1a3d3f9efddb4dc4c63664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8045e841107e17eb8170d0b582a0e38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/00c589a4-3342-4afd-a7ad-d0ec0e1c9e39.png?resizew=145)
您最近一年使用:0次
解题方法
3 . 已知单位向量
,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9043a9716d4eb6b554bab52ab9f59e43.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e8793bae3414603f06da7b301008e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9043a9716d4eb6b554bab52ab9f59e43.png)
您最近一年使用:0次
2022-11-14更新
|
603次组卷
|
3卷引用:江西省景德镇市2023届高三上学期第一次质检试题数学(理)试题
名校
解题方法
4 . 已知
为正交基底,且
,
分别为
的中点,若
,则
的最小值为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eb1a5564520c779a7e1b3c9f9a002c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf1e9af1df26d7c2c7a647261d8146e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a51c2e52665c3a73235233f6e43b10fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fb74ad8abb9f4b211557977722d27e.png)
您最近一年使用:0次
2022-09-11更新
|
908次组卷
|
6卷引用:江西省南昌市2023届高三上学期摸底测试(零模)数学(文)试题
江西省南昌市2023届高三上学期摸底测试(零模)数学(文)试题(已下线)专题1平面向量线性运算 (提升版)江西省上饶市广丰区重点高中2022-2023学年高二上学期第一次月考数学试题(已下线)专题13 平面向量(讲义)-2(已下线)专题5-1 平面向量中的高频小题归类-2(已下线)第三篇 努力 “争取”考点 专题4 平面向量的数量积运算【讲】
解题方法
5 . 若平面向量
两两的夹角相等且不为
,且
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17f1ebbcec8ad4e53fd4e5b4de4cf8a.png)
____________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a321112ae2829a4783f7e4a1f022183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4290314c626b546af2998503e332605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a17f1ebbcec8ad4e53fd4e5b4de4cf8a.png)
您最近一年使用:0次
2022-12-24更新
|
531次组卷
|
4卷引用:江西省上饶市民校考试联盟2023届高三上学期阶段测试(二)数学(文)试题
江西省上饶市民校考试联盟2023届高三上学期阶段测试(二)数学(文)试题江西省上饶市民校考试联盟2023届高三上学期阶段测试(二)数学(理)试题(已下线)6.2.4 向量的数量积 (精讲)(2)-【精讲精练】2022-2023学年高一数学下学期同步精讲精练(人教A版2019必修第二册)(已下线)第01讲 平面向量的数量积及其应用5种常见考法归类(1)
解题方法
6 . 已知
的内角
所对的边分别为
,
,
,
,
分别为线段
上的动点,
,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8c65bea2c80af038768b74250c694e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4509b62c7244ee660c68a1ce77daa9e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6dabdc1565b5edb9b4521e733d8a727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
您最近一年使用:0次
解题方法
7 . 已知向量
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e912b86e064e678ab34210f3fa02ef.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97a83858cf7efb5d8d91af7892b7fec6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df42687a73cb92e92a3cb6e54f1edb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5aa846a5b7c96fe2ce665eb1ea5f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e912b86e064e678ab34210f3fa02ef.png)
您最近一年使用:0次
解题方法
8 . 已知
,
是两个单位向量,设
,且满足
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1c5a9b887ea0b03651a0be466e0096.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48bd8a052e56b53a66497b4b55a968a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc155e36276a2226c40a1f4ef7a0f41a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e096047b2aab801488f0ca1cc9a84c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d33320d98de4cdfc3ddff47e91d036.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2ed3576b910518abb4258ef70bf9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e1c5a9b887ea0b03651a0be466e0096.png)
您最近一年使用:0次
解题方法
9 . 已知
是单位向量,向量
,
满足
,
,且
,设
,当
时,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498e31243c96cee074159c14530ce929.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc64abe49847ade9b78678ba1f8e0e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/433b94c39737727e53468df419d8314a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb573cc0f30d5c32cdad1510793f0e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bbe4fd72e48f10e4600e803d4ff61a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a727a09afc6eb5637a26be3162bb39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7b8a484f944dcf686da887a3dee15f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3acf5dc2667efa1fe0367bb40b82c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2183add7abab73f3c3b79ccf4349ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/498e31243c96cee074159c14530ce929.png)
您最近一年使用:0次
名校
解题方法
10 . 已知向量
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2563016d87164613dbf110aa0e7265ad.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b2625fd0790458a094748496c97b9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76a978c665599b68d2e898371d72a90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbeed873a477ba54422fc5396bf9d0f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2563016d87164613dbf110aa0e7265ad.png)
您最近一年使用:0次
2021-10-25更新
|
797次组卷
|
2卷引用:江西省赣州市赣县第三中学2022届高三上学期期中适应考试数学(文)试题