2022高三·全国·专题练习
解题方法
1 . 已知平行四边形ABCD的三个顶点A、B、C的坐标分别是
、
、
. 求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879a4007beef22e009248112d664f7c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7e88b74f492f89e21e4cf65353bdb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceff0e7d103475c3ba9a2712f373185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f4e350e818248c549a171c1141f436.png)
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2 . 定义:对于两个非零向量
和
,如果存在不全为零的常数
、
,使
,那么称
和
是线性相关的,否则称
和
是线性无关的.已知
,
,试判断
与
的线性关系(相关还是无关),并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf611ba33980c2b94067406cc3804a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18c76d58f076f37bfb0a7200ecb7d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647f6682e4de215dce541a013c334a68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf611ba33980c2b94067406cc3804a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18c76d58f076f37bfb0a7200ecb7d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf611ba33980c2b94067406cc3804a39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18c76d58f076f37bfb0a7200ecb7d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd379c624402d9206303afb1fd8b45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ca94e7c25b02aefacbcb095daa2f73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969604545902c9a66549a4a44ec3a3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ab17fd4247cdd710c363d5d3fbc5bd.png)
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