已知函数
,
,且
在
上恒成立,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282a54e8a2e03b98c0f4124b3a654a9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196be101149acfb6a6c4ceca7fc96828.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab65cda09762b9d538c3fd554b6c3a3a.png)
(1) 求的解析式;
(2) 若有,求实数
的取值范围;
(3)求证:与
图像在区间
有唯一公共点.
更新时间:2018-04-03 23:12:17
|
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解答题-问答题
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解题方法
【推荐1】已知关于
的函数
(
)在区间
内恒取正值.求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b102b350f7d9de7f2c11e1e5294bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810949b76573ccd9d43af3815299d443.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐2】对于函数
,若在定义域内存在实数
,满足
,则称
为“局部奇函数”.
(1)已知函数
,试判断
是否为“局部奇函数”?并说明理由;
(2)若
为定义域
上的“局部奇函数”,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd1db6c94b94afc372212a81cc1f4dd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c04a0aa3d31ebe89343971db09b514.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf10bf5b581a5826c48a1ba0b1d07529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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适中
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【推荐1】已知函数
,
.已知曲线
在点
处的切线与直线
平行.
(1)求
的值;
(2)证明:方程
在
内有且只有一个实根.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dd11e07e4e1d1a5c3f58fe0c0e5d4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ef871f4a692b4c05ba32b1e1426916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376cc29193b2e0928371ca0050b0ebd3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f8bfb563f79688d136e0cb958b5153c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
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解题方法
【推荐2】已知
是定义在
上的奇函数,且
.
(1)求
和
的值;
(2)判断
在
上的单调性,并证明你的结论;
(3)求证:
的值域为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b01ae79b7370ecef836c2be4b228db53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0ec616dbf64b0e1bfce4c84afad5b3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
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解题方法
【推荐1】已知函数
.
(1)写出函数
的定义域并判断其奇偶性;
(2)若
,求实数
的取值范围.
(3)若存在
使得不等式
成立,求实数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6f616c0ceb95cf7c3af4897a9d65e47.png)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8e7b79c74b1b1368e4254078386a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4fe004f39b3553f6b143ed0f188365b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
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适中
(0.65)
解题方法
【推荐2】已知函数
是定义在
上的奇函数,函数
是定义在
上的偶函数,且
.
(1)求函数
的解析式;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df412ae6aa217d7eaa8dd3b88faa9b04.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259327f1d9b2d2ae561077b8cd88729.png)
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