解题方法
1 . 已知函数
.
(1)若函数
,且
是增函数,求实数
的取值范围;
(2)若对任意的正数
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48521dad7bd76318537864ff0600e19d.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04aeccb04416ef1eea7c05ab59d10b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89eea593c79973e97f6f3cdf621cdfc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若对任意的正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10e2d6ef9ef981a5a3cd7608cb8e8ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知函数
,
为函数
的导函数.
(1)若函数
在定义域内是单调函数,求实数a的取值范围;
(2)当a=1,函数
在
内有2个零点,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811956c620948213957c07169fe66520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15bccf9756ec716bd5c04e2641b6441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)当a=1,函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa218e7263380444184aedd6b5e4f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffa573f47e43ec68e2e10949b9340b4.png)
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名校
3 . 已知函数
是定义在
上的增函数,对于任意的
,
,都有
,且满足
.
(1)求
和
的值;
(2)求满足
的
的取值的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead849c0dc4a82285808a7e081ad75c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9c89d2cd1fb46b1e71ad10227c098.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39fed3d560fa329a5f3bf4bf50ac24c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6228b3fd62e53d3134a146f689e4a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/310ce02ee4443b5efe48c61ee830008c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cb07fc041df359b25b6b47bcc4d024e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf2e6cef9b3c152f5c88165cb277ec7.png)
(2)求满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a72636fcae48bc7093d888d78a56acf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
4 . 已知函数
,且
.
(1)求
的值;
(2)若
,求实数
的取值范围;
(3)若方程
有两个不同的实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31a2b1e1165d13be7782f20abd9c4d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8777fa3a46467bb1ed4d1586f0d324dc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b0b1d16c77ef16ef0ca466c7bc8209d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/277423389beca4e319a2a2a0ef257646.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2018-10-11更新
|
1697次组卷
|
2卷引用:吉林省舒兰市一中2018-2019学年高一九月月考数学试题
11-12高一上·吉林·期中
5 . 已知
是定义在
上的奇函数,且
时,
.
(1)求
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)求函数的表达式;
(3)若
,求
的取值范围
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ce5f0e8332cabd71089cbd4305321a0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)求函数的表达式;
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04579ab35ea6fbdf8c49e9b1d709b604.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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