名校
1 . 已知二次函数
的定义域
恰是不等式
的解集,其值域为
,函数
的定义域为
,值域为
.
(1)求
定义域
和值域
;
(2)试用单调性的定义法解决问题:若存在实数
,使得函数
在
上单调递减,
上单调递增,求实数
的取值范围并用
表示
;
(3)是否存在实数
,使
成立?若存在,求实数
的取值范围,若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc1d4dfe9b98c934cb60526c8e36074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaeb4dd94c30a0599a8ae132976af64d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2966faea2bdf17a1c9312873cfda0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)试用单调性的定义法解决问题:若存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56988dfa7e8a5ee6d943dc9c9d93006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2966faea2bdf17a1c9312873cfda0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf93b65e769d840720e01769685740a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/660c5ba1a2501c7e16b5357e1e850400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(3)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2019-12-04更新
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485次组卷
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3卷引用:上海市七宝中学2018-2019学年高三上学期第一次月考(10月份)数学试题