11-12高三上·江西吉安·阶段练习
解题方法
1 . 已知函数
定义在区间
上,
,对任意
,恒有
成立,又数列
满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39e9750639ea9f661160b07ef199080.png)
(1)在
内求一个实数
,使得
;
(2)求证:数列
是等比数列,并求
的表达式;
(3)设
,是否存在
,使得对任意
,
恒成立?若存在,求出m的最小值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1947266214c98cfdeea15425a47de17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbf98e40f2f23810467a5c599ea62c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69981c8961775af5e1529d56a1a0d1d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b39e9750639ea9f661160b07ef199080.png)
(1)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fd9f63cfe52e25c09dd129a261a436.png)
(2)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c704d7054cbdc9d975d4326091cc5251.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05899f022bc5f29ad8ba7b2a92896b06.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf638f106724e6319edfa9c7de05f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a70b95c53fb6655721e2a8c61f5c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ec99f68c85bcfcc9d2e34067b21011.png)
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