名校
1 . 对于定义在
上的函数
,若同时满足:①存在闭区间
,使得任取
,都有
(
是常数);②对于
内任意
,当
时总有
,称
为“平底型”函数.
(1)判断
,
是否为“平底型”函数?说明理由;
(2)设
是(1)中的“平底型”函数,若
对一切
恒成立,求实数
的范围;
(3)若
,
是“平底型”函数,求
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0195f699765021e2c6ea985e487971.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae2e54eca2ffc297a015c561e30ac1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f239c63bc8bc3e5114063c76e8a975f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/580bddf0ec75a9918b9ddf18f9850cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e5f8881bd45e0a7ae54fe1ea0ff2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba361a7a2482a4e7ebe066fa29fc873.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26443543e190f15783a2309f7d44381e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b227d13609e34d3bd484db5de8c4be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91ff4f7f57a89b6bce9d0a3c1976251d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b72d4b4a8f175d4d24cd8ef24a62c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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