名校
1 . 已知二次函数
满足对任意
,都有
;
;
的图象与
轴的两个交点之间的距离为
.
(1)求
的解析式;
(2)记
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca97e3aa8061c4d8e621c5598c69b13b.png)
(i)若
为单调函数,求
的取值范围;
(ii)记
的最小值为
,若方程
有两个不等的根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5a21303b57873a9b6c6ddc9a6ab047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e64110e70076812fb5b5bda4d75fdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/604b1b6cd4173708348695ed4096fc87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca97e3aa8061c4d8e621c5598c69b13b.png)
(i)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(ii)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb708adff55a5bda517c3f570f06584c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d507e76ad926f9a80c3b7c520af53081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2021-10-21更新
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