名校
1 . 已知向量
,
,
均为单位向量,且它们两两的夹角均为
,其中
,
,则
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0411792b587ddd3e04440392f011c224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95d660852c5226ff65a21cfb36b8b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ccfda9afde4441cfd1d4df5fe9622d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e764c6562eb87b6d15fe4b66226d29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8e7c52023734b2a21d96ad3689384d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
您最近一年使用:0次
2023-03-01更新
|
253次组卷
|
4卷引用:山东省日照市实验高级中学2023-2024学年高二上学期期中模拟测试数学试题(二)
名校
解题方法
2 . 定义
.若向量
,向量
为单位向量,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf9fc45e6dc0579eda8f3f0d63a09c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc2d9c5b28befcfe92dfcb2000577f71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db35dbee504e3e66bfd03c24e4b7322.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-07-04更新
|
219次组卷
|
5卷引用:山东省济宁市第一中学2022-2023学年高二上学期期末数学试题
3 . 若向量
满足
与
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de88b64bf0e55e10af49e9682cbe2afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8768d5826995aeddbb4f2a977ee49910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
4 . 下面四个结论正确的是( )
A.向量![]() ![]() ![]() |
B.若空间四个点![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.任意向量![]() ![]() ![]() ![]() |
D.方程![]() |
您最近一年使用:0次
名校
解题方法
5 . 已知
,
,
,则
等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787379f7ff8d24be7eebfea1cfe956d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404067afb19bd74f447a6c0c832af1da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a06451b968696c179896a47ee91fd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb74499b8965b3f6c9acfbbb168df438.png)
A.12 | B.28 | C.![]() | D.![]() |
您最近一年使用:0次
2022-12-25更新
|
1448次组卷
|
13卷引用:山东省安丘市第一中学2022-2023学年高二上学期11月月考数学试题
山东省安丘市第一中学2022-2023学年高二上学期11月月考数学试题山东省临沂市第二中学2023-2024学年高一下学期第一次阶段性测试数学试题海南省2020-2021学年高二下学期期末考试数学试题(已下线)湖南省怀化市2022-2023学年高三上学期期末数学试题变式题1-5(已下线)广东省2022届高三一模数学试题变式题1-5(已下线)6.2.4向量的数量积(课件+作业)(已下线)6.2.4向量的数量积(精练)-【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)江苏省南通市通州区金沙中学2022-2023学年高一下学期3月质量监测数学试题江西省宁冈中学2023届高三上学期12月月考数学(理)试题江西省宁冈中学2023届高三上学期12月月考数学(文)试题新疆维吾尔自治区喀什地区巴楚县第一中学2022-2023学年高一下学期3月月考数学试题江苏省苏州市桃坞高级中学校2023-2024学年高一下学期3月自学能力测试数学试卷福建省莆田第二中学2023-2024学年高一下学期4月阶段性检测数学试卷
6 . 已知
,
,且
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9ac95e5a7f66427cfd4eac021f853f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/778ae4468d857c229073875e0ee0ce31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6772fa3937b97d9ec3aec1ea2ea143b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29276b43a2950ed71f0f9629a35dfa74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ff265969988f1f138700129e5d7a6d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55fd756ebb1dd56415de2adbf33c0be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a9ac95e5a7f66427cfd4eac021f853f.png)
您最近一年使用:0次
名校
解题方法
7 . 如图,在
中,已知
,
,
,
分别是边
上的点,且
,
,其中
,
,且
,若线段
的中点分别为
,则
的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/ad7b2358-198a-48aa-a466-dc536b6abc8b.png?resizew=188)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c916d5b02f278ee842393dab6dcce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284a563413dc0532138fb2a64db8cc2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e49d2c72a35f1ce4d1d26574934a014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e78889a5cb24cde25ce876fc62b3f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13c62e7c58606b2250c6d189d85a6ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01f56a22d95eab351e09da1afb8153bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6428df1a885e48b03761224ac7495df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c877203215bd4cdc93dd0a6cb66f551.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bcfd071e96e6edd76fc101bf04474cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/ad7b2358-198a-48aa-a466-dc536b6abc8b.png?resizew=188)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 在平行六面体
中,底面
是边长为1的正方形,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/dcfd9c39-81c8-4663-b5d4-475463c21c20.png?resizew=255)
(1)求
的长;
(2)
分别为
,
的中点,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8faaf67bed2cafd886a8c716d7a46e59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/dcfd9c39-81c8-4663-b5d4-475463c21c20.png?resizew=255)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d9718c3feff96850610a6d8cdb746a.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbafedc202bd0d86c4dfdece9f8f4fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab35850dbc661ded6456b70767cc6cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/520d337ac844a4b48edcbb868d35a04a.png)
您最近一年使用:0次
名校
解题方法
9 . 关于非零向量
,
,
,下列结论正确的是( )
![](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)
A.![]() | B.![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2022-06-20更新
|
290次组卷
|
3卷引用:山东省多校2023-2024学年高二上学期9月联合测评数学试题
10 . 已知平面单位向量
,
,
满足
,
,
,则( )
![](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/decd249634d157b89dd35ece5d3ceea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fddc3739965695ab2c930d76bc78f1f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e3f5d8c205ebd3008beb7e26be0f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281aa7e1dc2c4a9e43687c68dbbb2a8f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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