名校
解题方法
1 . 已知向量
在正方形网格中的位置如图所示.若网格纸上小正方形的边长为1,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae951e0bb5a2a406f1572fc1e4964265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b2d91aa26e0c0aa5b0e9b17111160e.png)
A.2 | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知
,
,
与
的夹角是
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9883f16cdef5fb87fb9d6a9897d113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db24e47304fec964e8cb9278280046bb.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/4a12c461765806bbfb872e7e8aa410c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-04-22更新
|
794次组卷
|
3卷引用:河北省张家口市张北成龙高级中学2023-2024学年高一下学期3月阶段测试数学试题
23-24高一下·全国·课前预习
解题方法
3 . 设
,
是非零向量,它们的夹角是θ,
是与
方向相同的单位向量,则:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd5d9c308e91beb37f6d6d32b8a2415c.png)
_______ ;
(2)
_____ ;
(3)当
与
同向时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
_____ ;当
与
反向时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba3c6bd21d9c27a68b970f446f04d6df.png)
_____ .特别地,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da684e75596f7bf3b9ff674e1bf362a.png)
___ 或
;
(4)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedbea4040e4162b047e6a05b177e063.png)
_____
;
(5)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4961a7dd688b8a12db7d1d3480c6b87f.png)
_____ ,其中θ是非零向量
与
的夹角.
![](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/c984376f5475184e0d3e4f7e1bb65f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd5d9c308e91beb37f6d6d32b8a2415c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d5b4c0999a3a66ef0c49086c402599.png)
(3)当
![](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/ba3c6bd21d9c27a68b970f446f04d6df.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/ba3c6bd21d9c27a68b970f446f04d6df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4da684e75596f7bf3b9ff674e1bf362a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede221f39dc56eb53d76d7e0de430741.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dedbea4040e4162b047e6a05b177e063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6502ba9c852a773d78b7588bb4beae4b.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4961a7dd688b8a12db7d1d3480c6b87f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
您最近一年使用:0次
解题方法
4 . 已知向量
,
的夹角为
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a767ad5d9c710e768dcdc69d6cf0fcd2.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/ff7a3159579864a8ea0ab42005144864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c7d3b256fec1c30b6dd2a7b8e202f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1365088559a0384e3ee7fc0424353977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a767ad5d9c710e768dcdc69d6cf0fcd2.png)
您最近一年使用:0次
名校
解题方法
5 . 已知
,
,
与
的夹角是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c14bf78fac37ddfe6e6efbbb64f967.png)
_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02af59613596682734297aebc578801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e405db6c09d6ab5739cabbb63cd3b3bd.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/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c14bf78fac37ddfe6e6efbbb64f967.png)
您最近一年使用:0次
2024-04-18更新
|
511次组卷
|
2卷引用:四川省达州市万源中学2023-2024学年高一下学期4月期中考试数学试题
解题方法
6 . 在
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634d6f7a95c2c1484be3324e5a53953c.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501fabcaa88db6929a593294baa37989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/634d6f7a95c2c1484be3324e5a53953c.png)
您最近一年使用:0次
解题方法
7 . 已知
,
,
与
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d589af3739b9fca5229e0607bb5f6e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407538138dd68ab917925c2063cc98e9.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/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd01707e8d32f277b83c007a5b15bd7.png)
A.![]() | B.![]() | C.10 | D.20 |
您最近一年使用:0次
名校
8 . 已知单位向量
的夹角为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10814bc3db929e79874befe96cf4e3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6e3bfeb6acfe39f8fb7b93255685e89.png)
A.![]() | B.0 | C.1 | D.2 |
您最近一年使用:0次
2024-04-15更新
|
1429次组卷
|
6卷引用:江苏省南通市2024届高三第二次调研测试数学试题
江苏省南通市2024届高三第二次调研测试数学试题江苏省扬州市2024届高三第二次调研测试数学试题江苏省泰州市2024届高三第二次调研测试数学试题江苏省泰州中学2023-2024学年高一下学期期中考试数学试题(已下线)江苏省泰州市2024届高三第二次调研测试数学试题变式题1-5(已下线)江苏省南通市2024届高三第二次调研测试数学试题变式题 1-5
解题方法
9 . 已知向量
与
的夹角为
,其中
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30195fdef66f863248e03a26b3338134.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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa8ea29001bb1f0c1e5157aff2fca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30195fdef66f863248e03a26b3338134.png)
您最近一年使用:0次
解题方法
10 . 已知向量
与
的夹角为
,且
,
,则
的值为______ .
![](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/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa3610a990287d3ac756abae406540d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e405db6c09d6ab5739cabbb63cd3b3bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854e16eb319ee454088f5b527cf6c4d5.png)
您最近一年使用:0次