1 . 已知二次函数的图象经过点
和
.
(2)设点
是函数图象上一动点,且位于第四象限,四边形
是以
为对角线的平行四边形.求平行四边形
的面积S与
之间的函数关系式,并写出自变量
的取值范围;
(3)当平行四边形
的面积为24时,判断平行四边形
是否为菱形?并判断是否存在点
,使得平行四边形
为正方形?若存在,求出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1da33fcc9a45c1cf320ff9bf00c285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7641baffd700f0c577d001e9d7a6c20.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4071326e546d73b4cb4b362f1166716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a9ba7b666dae8aa7aaec80a6811c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a9ba7b666dae8aa7aaec80a6811c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)当平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a9ba7b666dae8aa7aaec80a6811c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a9ba7b666dae8aa7aaec80a6811c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a9ba7b666dae8aa7aaec80a6811c91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
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