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设f(x)=asin2x+bcos2x,其中a,b∈R,ab≠0.若对一切x∈R...
设f(x)=asin2x+bcos2x,其中a,b∈R,ab≠0.若
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131202111958919625944/SYS201312021119589196259014_ST/0.png)
对一切x∈R恒成立,则
①
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131202111958919625944/SYS201312021119589196259014_ST/1.png)
;
②
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131202111958919625944/SYS201312021119589196259014_ST/2.png)
;
③f(x)既不是奇函数也不是偶函数;
④f(x)的单调递增区间是
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131202111958919625944/SYS201312021119589196259014_ST/3.png)
;
⑤存在经过点(a,b)的直线与函数f(x)的图象不相交.
以上结论正确的是
(写出所有正确结论的编号).
考点分析:
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