已知函数f(x)=ax
2+2x+c(a、c∈N
*)满足:①f(1)=5;②6<f(2)<11.
(1)求a、c的值;
(2)若对任意的实数x∈[
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100447155297949/SYS201311031004471552979018_ST/0.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103100447155297949/SYS201311031004471552979018_ST/1.png)
],都有f(x)-2mx≤1成立,求实数m的取值范围.
考点分析:
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=(cosα,sinα),
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|=
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.
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