名校
1 . 记函数
的定义域为D. 如果存在实数
、
使得
对任意满
足
且
的x恒成立,则称
为
函数.
(1)设函数
,试判断
是否为
函数,并说明理由;
(2)设函数
,其中常数
,证明:
是
函数;
(3)若
是定义在
上的
函数,且函数
的图象关于直线
(m为常数)对称,试判断
是否为周期函数?并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8d8d7f3bab030b7301b1f8ffde25235.png)
足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d73ff48d69b4a7d1fb3a19f1cdfb1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b14436281d0445ba9a5321cbb34d3ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79f4673f430b3e9940b768323871cb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cba018ab7f525ca0e1d21179d7e0a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823ab696d27d40920c39b8c910789380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4370226c16822cf9bbc390444c581bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d71f015144ffaf1faec94a259b4a06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
您最近一年使用:0次
2018-04-12更新
|
744次组卷
|
2卷引用:上海市杨浦区2018届高三下学期质量调研(二模)数学试题
解题方法
2 . 已知函数
,函数
与函数
的图象关于直线
对称.
(1)求函数
;
(2)
时,求证:函数
在区间
不单调.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06116229a2584840732ae305a0da12dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655b06387179d53c1e474fcfcb408b1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12768bb93ba77e9565564b91a0c8bacf.png)
您最近一年使用:0次