已知函数
是定义在
上的奇函数.
(1)求
的值及方程
的解;
(2)当
时,求函数
的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49a7b607c855c8f289c9fa376a79d5bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb381ac86308c6249bc7e8737cdc668d.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6612612fc6ac4a8b0d000e9140333750.png)
更新时间:2017-11-26 08:26:12
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【推荐1】设
,
分别是定义在
上的奇函数、偶函数,且
.
(1)求
,
的解析式;
(2)若对于任意
,不等式
恒成立,求
的取值范围.
![](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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/563d34c1f9b294a226c6a007d85bd1ef.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69303621c56f67b4ec4e0ac575deb554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47190c65a08f1bb84ecd724c4ef482d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】设函数
为定义在
上的奇函数,且当
时,
.
(1)求函数
的解析式;
(2)求实数
,使得函数
在区间
上的值域为
;
(3)若函数
在区间
上的值域为
,则记所有满足条件的区间
的并集为
,设
,问是否存在实数
,使得集合![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461c872de5b9731a88b5dce4677ddd06.png)
恰含有
个元素?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b916c6d3fb2fdc67421489f207c93903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd8ed92f58d44ee590c425bc741195c1.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972b2ee4399b6ae79f8aa985b568d4ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db355ff4eb6f6b79670b74fb0b6808af.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db355ff4eb6f6b79670b74fb0b6808af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edcfdab5519ee327e87f6a98a88341d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/461c872de5b9731a88b5dce4677ddd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcadb55dcbc0078288b57492e31bf54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐1】已知
,函数
.
(
)当
时,求函数
在区间
上的最小值.
(
)设
,函数
在
上既有最大值又有最小值,分别求出
,
的取值范围(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d419296a8cb4b532966919667e3173b8.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6455e38ff53ede2508e4d9cb23f0b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64d924836b4292239d9726c6473d7f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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【推荐2】已知函数f(x)=log4(4x+1)+kx与g(x)=log4(a•2x﹣
a),其中f(x)是偶函数.
(1)求实数k的值;
(2)求函数g(x)的定义域;
(3)若函数f(x)与g(x)的图象有且只有一个公共点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
(1)求实数k的值;
(2)求函数g(x)的定义域;
(3)若函数f(x)与g(x)的图象有且只有一个公共点,求实数a的取值范围.
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