名校
解题方法
1 . 四边形
为菱形,其中
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89520fe4dd9651e9ea2a2de027a7371.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e918b70b02a73685e3c536c7f380e2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7285b813ec6934c6ca0ff61c4fb93362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b89520fe4dd9651e9ea2a2de027a7371.png)
您最近一年使用:0次
名校
解题方法
2 . 化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbeee29a83e92ba7d4e6b9694ef11be5.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbeee29a83e92ba7d4e6b9694ef11be5.png)
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3 . 在平行四边形
中,
,
,用
,
表示向量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89791b8d677a17b179d6f265b84fcce.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7b9d8a08fc52c31cc1a7f527d18b55c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184359fe3cadc363cf4ebe586c2b3db4.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/1dc3c7d64ba3f82cb0853d6f674a1f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89791b8d677a17b179d6f265b84fcce.png)
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4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4199e1e40d13b3bd73b730f56f050428.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4199e1e40d13b3bd73b730f56f050428.png)
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解题方法
5 . 已知
,
,
均为平面单位向量,且两两夹角为120°,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d69ec00311ecffeff107753e064ad8.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d69ec00311ecffeff107753e064ad8.png)
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6 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca81f09e9a1d34577c6dbf743ba3ba9.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca81f09e9a1d34577c6dbf743ba3ba9.png)
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名校
7 . 化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a93fe8e19869434e3451ffbb0de1b9.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a93fe8e19869434e3451ffbb0de1b9.png)
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23-24高一下·全国·课前预习
8 . 向量的减法
定义 | ![]() |
作法 | 在平面内任取一点![]() ![]() ![]() ![]() 如图所示: |
几何意义 | 如果把两个向量![]() ![]() ![]() ![]() 的 ![]() |
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23-24高一下·全国·课前预习
解题方法
9 .
与
|之间的关系
(1)对于任意向量
,都有 ____ ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2ceb4c10cd4d08e3ba6244da4507aa.png)
_____ ;
(2)当
共线,且同向时,有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ee058d80bf1f695e71ad49beb81f81.png)
_____ 或______ ;
(3)当
共线,且反向时,有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ee058d80bf1f695e71ad49beb81f81.png)
____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e6f98f23fea7db0f74897928024ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42e77d00fdfcf6262acf2b06c3a1090.png)
(1)对于任意向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec2ceb4c10cd4d08e3ba6244da4507aa.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ee058d80bf1f695e71ad49beb81f81.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ee058d80bf1f695e71ad49beb81f81.png)
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解题方法
10 . 已知非零向量
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ddf1945bb50254c5ff7e62ca37aece6.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e8b95a61af300412fc65f846089028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75995f295f383800a9a68cadf23c2e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ddf1945bb50254c5ff7e62ca37aece6.png)
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2024-04-18更新
|
375次组卷
|
2卷引用:陕西省西安国际港务区铁一中陆港高级中学2023-2024学年高一下学期第一次月考数学试卷