1 . 如果函数
满足:对定义域内的所有
,存在常数
,
,都有
,那么称
是“中心对称函数”,对称中心是点
.
(1)判断函数
是否为“中心对称函数”,若是“中心对称函数”求出对称中心,若不是“中心对称函数”请说明理由;
(2)已知函数
(
且
,
)的对称中心是点
.
①求实数
的值;
②若存在
,使得
在
上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/b7d0e5b857f1dcaa2758843feed0f258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30277e0be448b4955903e81e8795e45d.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/398ecaa1e1bca5f815be92c1960705c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079dd115a4b8cbc93918a853363786dc.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
②若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4735fb3418fe21c889936999901815f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa208c8bab34df3e76f87552abc985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfd13b1e15bfde785271a2750ff598d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
2 . 已知函数
的图象与函数
的图象关于直线
对称.
(1)若
,求实数
的值;
(2)若函数
的定义域为
,值域为
,求实数
,
的值;
(3)当
时,求函数
的最小值
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679da8a975f3a340f456d205b9da9a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0964e64eca750b956d0dbf06ca3593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa76864be3da2395f315fd1b7c9da209.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98f77cce9027d6b58ca0e3868e94ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119b20f27ee885c82edf447d24cc0cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1a1c1f0951b6032791da53d313449d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a90170d7ef5ff6d1d63517c166f7a9.png)
您最近一年使用:0次
2020-01-29更新
|
462次组卷
|
2卷引用:上海市虹口区2016-2017学年高一上学期期末数学试题
名校
3 . 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