2012·上海嘉定·一模
1 . 已知函数
(
)在区间
上有最大值
和最小值
.设
.
(1)求
、
的值;
(2)若不等式
在
上有解,求实数
的取值范围;
(3)若
有三个不同的实数解,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/41d17618e25342628b0ab9d25b48429b.png?resizew=157)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/01c4fc9f436946ce8716cf33f3306496.png?resizew=39)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/b922825fe2264656a5a1eae856a6e6d0.png?resizew=42)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/10da5539e79742e0890ffbae890f09ef.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/827796b8668a47e6bde9ef300168a4d0.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/21e71419591e4a21b8e1e9a49c298b62.png?resizew=85)
(1)求
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/60db3e0e0f5d49c18bef0815b847d973.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/1fb13e835686469e8bf955f95dfc0083.png?resizew=13)
(2)若不等式
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/689ced6ac58342a687ce648f3d2bd4c1.png?resizew=116)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/9aafe0cc9f06471994955d0971a59e63.png?resizew=70)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/524e2909b5d044c18f1960a3ba27ff1b.png?resizew=13)
(3)若
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/63a24eb90248426fa38e79828a5a00e0.png?resizew=210)
![](https://img.xkw.com/dksih/QBM/2012/1/12/1570689469874176/1570689475551232/STEM/524e2909b5d044c18f1960a3ba27ff1b.png?resizew=13)
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真题
2 . 设m,k为整数,方程mx2﹣kx+2=0在区间(0,1)内有两个不同的根,则m+k的最小值为
A.﹣8 | B.8 | C.12 | D.13 |
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11-12高一上·河北石家庄·期中
名校
3 . 已知函数
是偶函数.
(I)证明:对任意实数
,函数
的图象与直线
最多只有一个交点;
(II)若方程
有且只有一个解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec9ec2a51fe170a3470ebf34cdecaaf.png)
(I)证明:对任意实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98450af5edc7c9cfd704c189b97372b3.png)
(II)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/247a7db0c17053f3cb051b9008b1e267.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2016-12-01更新
|
1459次组卷
|
4卷引用:广东省广东实验中学2023届高三上学期第二次阶段考数学试题
广东省广东实验中学2023届高三上学期第二次阶段考数学试题(已下线)2011年河北省正定中学高一上学期期中考试数学安徽省滁州市定远中学2022-2023学年高一上学期分班模拟考试数学试题(已下线)重难点03函数(15种解题模型与方法)(3)
11-12高三上·江苏扬州·开学考试
名校
4 . 设
,
,函数
.
(Ⅰ)设不等式
的解集为C,当
时,求实数
取值范围;
(Ⅱ)若对任意
,都有
成立,试求
时,
的值域;
(Ⅲ)设
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80138a223c9633ebe2b24b3abd7037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07f28721d52cd2fad81f1c651b1feab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb713ef84dd1cca1df8e0c7c7ea6cab.png)
(Ⅰ)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bafb511452fb3b93485fe41c73810efd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(Ⅱ)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545931b962cf570712d04888b57093f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅲ)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d307a610ea0f37a3bba8e8f65f18338.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
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