名校
1 . 已知向量
与向量
的对应关系用
表示.
(1)设
,
,求向量
与
的坐标;
(2)求使
(p,q为常数)的向量
的坐标;
(3)证明:对任意的向量
,
及常数m,n,恒有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d0de95dc888471ed33cf137b5284226.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ac4cd9ea6a066d0b13708b571c83c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f5bd99829f4fea0aecb2e391d077f76.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7bef397316d8a0e571691fec72898c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9629e5701f4ebb031fce7860215a62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af13d90ddb687af415bd6889e3c60825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ece58e89e9dde8e541fa1f3a732fbe.png)
(2)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41752a5e9f9a53deba787a2551bcd845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8c308ea87b699ee1dcb879a568899de.png)
(3)证明:对任意的向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f698ebdecf64a361bfb1f808c80a64.png)
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2020-02-02更新
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5卷引用:第六章 平面向量初步 单元检测卷-2022-2023学年高一上学期数学人教B版(2019)必修第二册