解题方法
1 . 若存在常数
,使得对任意
,
,均有
,则称
为有界集合,同时称
为集合
的上界.
(1)设
,
,试判断
是否为有界集合,并说明理由;
(2)已知常数
,若函数
为有界集合,求集合
的上界
最小值
.
(3)已知函数
,记
,
,
,
,求使得集合
为有界集合时
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd2491dc0189bacbcb09d74ee95e9b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e53000c7d332ec7583f9b3507eb8ace.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53855d56382110218bc98b235a5a971f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab5a297689c23bc4a57a888c53ba3b4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
(2)已知常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8f57aad6fb5182c7c87607b007af4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff0058182e412897c5f51e8360a43c0c.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f11faddee6367704372ce35792f2a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ab7bb40f58f28c9799b20f91d15d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dc2918652a71ff4f1f8455c7f36af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a40142c84be68ee2918c3a8303388c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e0768458378541844f151df19246df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
您最近一年使用:0次
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解题方法
2 . 已知适合不等式
的
的最大值为3,求实数
的值;并解该不等式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27929c32dd4ce399d7e65ab91b092575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次