12-13九年级上·北京·期末
1 . 在直角坐标系
中,已知某二次函数的图像经过
、
,与x轴的正半轴相交于点C,若
(相似比不为1).
(1)求这个二次函数的解析式;
(2)求
的外接圆半径r;
(3)在线段
上是否存在点
,使得以线段
为直径的圆与线段
交于N点,且以点
、
、
为顶点的三角形是等腰三角形?若存在,求出m的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eca3721ae93c871b8cc793f0c5da266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ee1a0749c545043ff06a5f2770e603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61306b5dc858d31583db93353c9e397c.png)
(1)求这个二次函数的解析式;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad9ec224498769f12020780f6a06a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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