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
解题方法
2 . 已知函数
是定义在
上的奇函数,对任意的
,均有
,当
时,
,则下列结论正确的是___________ .
①
的图象关于
对称 ②
的最大值与最小值之和为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③方程
有
个实数根 ④当
时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d75af1401b16c53b290fc7ebe823edf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb84bc896ecb573eadef462d5de72179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e4d78e2ea0d30684810a5ba1387e0b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fe86a5331e79f49ec9210b26097c31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3566cd4b3c4f0c97b21dd25376514c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6090bddba03ddb9fd7c9340549c64c.png)
您最近一年使用:0次
2018-04-03更新
|
776次组卷
|
3卷引用:【全国校级联考】江苏省无锡市江阴四校2017-2018学年高二下学期期中考试数学(文)试题
【全国校级联考】江苏省无锡市江阴四校2017-2018学年高二下学期期中考试数学(文)试题四川省宜宾市2017-2018学年高一上学期期末教学质量监测数学试题(已下线)2017-2018学年度下学期高二数学期末备考总动员C卷文科01