已知函数f(x)=ax
2-2
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834020_ST/0.png)
x,g(x)=-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834020_ST/1.png)
,(a,b∈R)
(Ⅰ)当b=0时,若f(x)在[2,+∞)上单调递增,求a的取值范围;
(Ⅱ)求满足下列条件的所有实数对(a,b):当a是整数时,存在x
,使得f(x
)是f(x)的最大值,g(x
)是g(x)的最小值.
考点分析:
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已知集合
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834018_ST/0.png)
,B={x|x
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设[x]表示不超过x的最大整数,如[1.5]=1,[-1.5]=2.若函数
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834016_ST/0.png)
(a>0,a≠1),则g(x)=[f(x)-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834016_ST/1.png)
]+[f(-x)-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834016_ST/2.png)
]的值域为
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已知函数f(x)=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101754582083477/SYS201311031017545820834015_ST/0.png)
,若f(x)-a=0恰有两个实数根,则a取值范围是
.
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