1 . 已知函数
.
(1)若函数
是
上的奇函数,求
的值;
(2)若函数
的在
上的最小值是
,确定
的值;
(3)在(2)的条件下,设
且
,若
在
上的最小值为1,请确定
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea770b2b29d7db97a0641fa0b574391.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)在(2)的条件下,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a9be3fcb9cc6c2e07e272105a6488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb1ebc40126e8670e98e25c50f042511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
2 . 已知函数
对任意
,存在
,使得
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fc57f7d83231a408f76e9835985acc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d5a5e70f64f0933ae1e4ddec5fa2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0db7eb2d7545d055f1cb6e8a7b5e1dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241fb57845472883b7da385cad95a95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e376c842a2c9d28900db4c9e3751c8b4.png)
A.![]() |
B.![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2022-03-20更新
|
265次组卷
|
2卷引用:湘鄂冀三省七校(益阳平高学校、长沙市平高中学等)2021-2022学年高一上学期12月联考数学试题
解题方法
4 . 已知
,
(1)求函数
的最小值,并指出此时
的取值;
(2)用定义法证明
在区间
上为增函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e302cd0b3d986777428e4a4346802cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)用定义法证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e302cd0b3d986777428e4a4346802cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0b5e402f725a71c3305bf3e72f72ded.png)
您最近一年使用:0次
2020-12-13更新
|
849次组卷
|
3卷引用:湖南省益阳市南县立达中学2022-2023学年高一上学期期中数学试题
5 . 已知函数
(
且
)在
上的最大值与最小值的和为
,则函数
在
上的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.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/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d554df9a90ae25a3bacea0ed2dfc44f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf87d9d48c3de0a5e9f1a70e51a0bef.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
6 . 已知函数
,
,若对任意的
,存在
,使得
,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e4828f7342d67468adef4ed54fbf10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c4d3648cf9ca2c1eeba4ccb477d8cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67d46fd2147a6f8c427e4240ee94c1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1db74a1c029c22b560f94dfd5b08e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4624a648f30189a10c8b6683b190ce5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-02-09更新
|
1009次组卷
|
3卷引用:【市级联考】湖南省益阳市2018-2019学年高一上学期期末统考数学试题
7 . 已知关于
的函数
.
(1)若函数
是偶函数,求实数
的值;
(2)当
时,对任意
,记
的最小值为
,
的最大值为
,且
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21fa4e29680abc2eab221f634cde157b.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/299fe8a304ca1ba8bee9e155801868f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92dbadb5d953df72f7b7859a9ecbe3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知
,函数
=
.
(1)求
的最大值:
(2)若关于
的方程
有实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eca6c00d9caa585acafc4741879e85a1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7cbca15415d709fccec79a0a836729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-12-29更新
|
493次组卷
|
2卷引用:湖南省益阳市桃江县第一中学2019-2020学年高一上学期期中数学试题