1 . 已知函数
(
且
),点
在其图象上.
(1)若函数
有最小值,求实数
的取值范围;
(2)设函数
,若存在非零实数
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b65c821fdf71e17eedb21722a9165df.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0584ded985595c31af106e7183a8f8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/000614bfb5918ccecde151aac799626f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d2f93c8be2625734adbebbc6364c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
2 . 已知指数函数
,其中
,且
.
(1)求实数a的值;
(2)已知函数
与函数
关于点
中心对称,且方程
有两个不等的实根
.
①若
,求
的取值范围;
②若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f92379843eec162747048a24dd1b774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求实数a的值;
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afb3751af829ba6ad31bfed6f0e6d920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9587df831df1af5e7dd6be5fdc7bd8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636a8d9e362e768e825a98afdea2bd5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e77d6f15137ae5d98b0d546672b6f68.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e06d506162c07c88cc58ce804540c587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2022-11-29更新
|
838次组卷
|
2卷引用:重庆市南开中学校2022-2023学年高一上学期期中数学试题
名校
3 . 已知点列
均在函数
图像上,点列
满足
,若数列
中任意连续三项能构成三角形的三边,则
的范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d0b3abb42b47bbb3879e1b9555825a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018d0b5d1970404a82d6dc0d5e1771c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137a5c7fceb9cc04a1572d74be5df001.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69da45a8578cded4197cb3f3121718fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2020-01-30更新
|
571次组卷
|
5卷引用:2016届上海市虹口区高三4月高考练习(二模)(理)数学试题
4 . 已知函数
,且
.
(1)求
的值;
(2)若
,求
的取值范围;
(3)若
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a75f45372e0e53d12e7cacfa9810ce1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e1534b73dd957bcf8d3e44fbd0f773.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bfeed29d09ed9d8ab9a2866b37b0bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d35e2fa790fdf2c08d1d011671b122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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5 . 已知函数
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600add430d0e384dabc1aca80b063642.png)
(1)求
的值;
(2)设函数
,判断
的单调性,并用定义法证明;
(3)若函数
(其中
),
的最小值为0,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee6881a170f6ef9ed5c133b95c2f448.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/600add430d0e384dabc1aca80b063642.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2015/8/19/1572216189452288/1572216195268608/STEM/04cc5d2d7e9e434cb9e69ea6a48c0bf1.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b787ac4f9788a18c2d0f4cac16cc3a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a6849241a559dea65100b167ae117b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4ed8e221df8d62634b506220e1d825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87161aa7e4cfa88516cfaa5f9efbebad.png)
![](https://img.xkw.com/dksih/QBM/2015/8/19/1572216189452288/1572216195268608/STEM/ae9289d95ff549f8af0a82dae51e5cd7.png)
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