1 . 已知函数
,
.
(1)当
时,求函数
的对称中心;
(2)若
为奇函数,不等式
在
上恒成立,求实数m的取值范围;
(3)若
过点
,设
,若对任意的
,
,都有
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2626a5bdd100424d2416a665ba0e9518.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf8749fbcb186eb686926e74408ae62.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47d47dbed3333b180fce58a6d9e440f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50f8ac22194d05c73c0398ec74b1aa89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ca34d82c95713100598611fc59b4a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61163de79f28694431516e0e72f0cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28950ab83fa7d677e639b6680cb016ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57045228fec057c04c8a9a3423ee9d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94a283921f59e507c96d0b6fbbe8fa4.png)
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2 . 已知集合A={t|t使{x|x2+2tx﹣4t﹣3≠0}=R},集合B={t|t使{x|x2+2tx﹣2t=0}≠∅},其中x,t均为实数.
(1)求A∩B;
(2)设m为实数,g(α)=﹣sin2α+mcosα﹣2m,α∈[π,
π],求M={m|g(α)∈A∩B}.
(1)求A∩B;
(2)设m为实数,g(α)=﹣sin2α+mcosα﹣2m,α∈[π,
![](https://img.xkw.com/dksih/QBM/2016/3/9/1572527767633920/1572527773728768/STEM/011a540ba68f47e6bd5550462ac0bf5e.png)
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