名校
解题方法
1 . 已知函数
的值域为
,则函数
定义域可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-01-15更新
|
463次组卷
|
2卷引用:江苏省淮安市淮阴中学2022-2023学年高一上学期期末数学试题
解答题-问答题
|
适中(0.65)
|
2 . (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)
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3 . (2013年苏州B20)已知函数
.
(1)当
时,求不等式
的解集;
(2)当
时,求函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90dc2b2bc064ad3797787e51a8051dcd.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d766ef5e7c9bccd7a7af6981e08e6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c880a292e77ec85d531c1b37e6feffe6.png)
您最近一年使用:0次