名校
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6238f20a373214ec18d1d2be64b635.png)
(1)设
,当
时,求函数
的定义域,判断并证明函数
的奇偶性;
(2)是否存在实数
,使得函数
在
递减,并且最小值为1,若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6238f20a373214ec18d1d2be64b635.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219f2a6b7f29a63a9747195d0ffcc603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bacbd8f85c7ed750646ecf8f5b11071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
2 . 已知
是偶函数,
是奇函数.
(1)求
的值;
(2)判断
的单调性(不要求证明);
(3)若不等式
在
上恒成立,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/9bd7d201a0124ef186dc587959495966.png)
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/ce5b527f99254147aeafcead54f3a8c4.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/ff973144631941338fcf7247bbbe9eb5.png)
(2)判断
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/f10e73c9cdf54f60b8cf72624a753510.png)
(3)若不等式
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/8163dbc539b148d684bc52fdd439a4f4.png)
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/776d3900af1e46308a5a49934ab1a95d.png)
![](https://img.xkw.com/dksih/QBM/2017/1/6/1619444687781888/1619444688289792/STEM/c5cb3e15c80941dcb4fcba04390f35d0.png)
您最近一年使用:0次
11-12高一上·吉林·期末
解题方法
3 . 设
为奇函数,
为常数.
(1)求
的值;
(2)证明:
在(1,+∞)内单调递增;
(3)若对于[3,4]上的每一个
的值,不等式
恒成立,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/c877da4c937749d383df4f591787ec16.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/f39af48f7ebe4ced953935808f137b22.png)
(1)求
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/f39af48f7ebe4ced953935808f137b22.png)
(2)证明:
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/70ff443b4bc54c1db42c9384969c1d7a.png)
(3)若对于[3,4]上的每一个
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/644d1e62239349598267c2af3b36be09.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/094454a0f086498ba08414d5cc6ecb9f.png)
![](https://img.xkw.com/dksih/QBM/2012/1/30/1578138448928768/1578138449518592/STEM/6c4577d458234d7397784b59447bd85d.png)
您最近一年使用:0次
11-12高一上·河北衡水·期中
4 . 函数
满足:①定义域是
; ②当
时,
;③对任意
,总有
,
(1)求出
的值;
(2)判断函数
的单调性,并用单调性的定义证明你的结论;
(3)写出一个满足上述条件的具体函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/940adbf54e96ecb2bb2637e5f976a3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd29ef32d9bc2e32ef2b8639b57dc9a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30d0fed389a86e8a6645ccd6179cef1.png)
(1)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce6155e181e21ce56ea658b70f8af17.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)写出一个满足上述条件的具体函数.
您最近一年使用:0次