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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2019高三·全国·专题练习
2 . 已知点O为坐标原点,A(0,2),B(4,6),
=
+![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f576518d6128fa051538b1917a9e38a.png)
(1)求点M在第二或第三象限的充要条件;
(2)求证:当
=1时,不论
为何实数,A,B,M三点共线.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12de88a7bce3bae0a16a7d3512ace417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b946c9ee1e609e527dbfa5bf60907370.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f576518d6128fa051538b1917a9e38a.png)
(1)求点M在第二或第三象限的充要条件;
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b02d4a0302a58089408976b9e4ff561f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fcbfda6dc1c18aba4f8c0bcd3d6422.png)
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