解答题-问答题
|
适中(0.65)
|
1 . (2011年苏州20)已知二次函数
对于任意的实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff60eab72de85437e12806474281612.png)
,
都有
成立,且
为偶函数.
(1)证明:实数
>0;
(2)求实数a与b之间的关系;
(3)定义区间
的长度为
,问是否存在常数
,使得函数
在区间
的值域为
,且
的长度为
?若存在,求出a的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811986d3ad64d6919ee64b1367577b9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff60eab72de85437e12806474281612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f3560f0c5eedffa5ce38fde2db28c3.png)
都有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c337371338c0661b46fa8d0467fdfa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25990e1d373ac30d7480633e47cc1ef.png)
(1)证明:实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求实数a与b之间的关系;
(3)定义区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d796cc708c99b7415397b8c93b1cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72131c00caddb160678989ce9c0f4b38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d5b21aa3df433d6b78b76b36e21adcc.png)
您最近一年使用:0次