名校
1 . 已知函数f(x)=ax2+2x+c,若不等式f(x)<0的解集是{x|-4<x<2}.
(1)求f(x)的解析式;
(2)判断f(x)在(0,+∞)上的单调性,并用定义证明;
(3)若函数f(x)在区间[m,m+2]上的最小值为-5,求实数m的值.
(1)求f(x)的解析式;
(2)判断f(x)在(0,+∞)上的单调性,并用定义证明;
(3)若函数f(x)在区间[m,m+2]上的最小值为-5,求实数m的值.
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2 . 已知二次函数
的最小值为1,且
.
(1)求
的解析式;
(2)若
在区间
上是单调函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6bf2c692b53c12d792878d65bf3bfad.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853a6d88656f7d963f1783376b601389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2020-01-07更新
|
914次组卷
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6卷引用:山东省青岛市青岛第十九中学2021-2022学年高一上学期期中数学试题
3 . 已知二次函数
的图象过原点,满足
,其导函数的图象经过点
.
求函数
的解析式;
设函数
,若存在
,使得对任意
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/297b84074bb98f3621e460afbb32598f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1803dc3c76fd2b51696647aa18602412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a07ec499e6231408bf09960c1858ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f5be1d638ff18054c9ad49f52d47de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17641d15644d5fb2c79fd1016b21520f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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