1 . 已知直线
与
轴的交点为
.点
满足线段
的垂直平分线过点
.
(1)若
,求点
的坐标;
(2)设点
在直线
上的投影点为
,
的中点为
,是否存在两个定点
,使得当
运动时,
为定值?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b556b1a9944719cf423e90f8df16c773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852b303689c31189cd47bb4a3220f9fa.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/879feabd97c744ca6389aedb17383f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d967856bd0f26fdbdddaccbe4d850ec6.png)
您最近一年使用:0次
2020-03-15更新
|
341次组卷
|
2卷引用:2020届福建省厦门市高三上学期期末质量检测数学文科试题
2 . 坐标法是解析几何中最基本的研究方法,坐标法是以坐标系为桥梁,把几何问题转化成代数问题,通过代数运算研究几何图形性质的方法.请利用坐标法解决以下问题:
(1)在直角坐标平面内,已知
,对任意
,试判断
的形状;
(2)在平面内,已知
中,
,
为
的中点,
交
于
,求证:
.
(1)在直角坐标平面内,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5e9ea0691daa797bd0889d7f5a6133.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6057df53aac56374ddf8146623f64678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(2)在平面内,已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5034e2d0d1bd5792403a62df2c950e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a9bd800bdf8f09e56bb8c9de37de34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4517371dfbf00378551aaae1a04ecc99.png)
![](https://img.xkw.com/dksih/QBM/2012/2/11/1570731291418624/1570731297046528/STEM/9d2658a7-8285-49f8-b3ff-e0b9a325dcad.png?resizew=146)
您最近一年使用:0次