已知函数f(x)的图象与函数h(x)=x+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321019_ST/0.png)
+2的图象关于点A(0,1)对称.
(1)求f(x)的解析式;
(2)若g(x)=f(x)+
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321019_ST/1.png)
,且g(x)在区间(0,2]上为减函数,求实数a的取值范围.
考点分析:
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212.
(1)求a,b的值;
(2)当x∈[1,2]时,求f(x)最大值.
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已知集合A={x|x
2-6x+8<0},B={x|(x-a)(x-3a)<0};
(1)若A⊆B,求a的取值范围;
(2)若A∩B={x|3<x<4},求a的取值范围.
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给出定义:若m-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321016_ST/0.png)
<x≤m+
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(其中m为整数),则m叫做离实数x最近的整数,记作{x}=m.在此基础上给出下列关于函数f(x)=|x-{x}|的四个命题:
①函数y=f(x)的定义域为R,值域为[0,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321016_ST/2.png)
];
②函数y=f(x)的图象关于直线x=
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321016_ST/3.png)
(k∈Z)对称;
③函数y=f(x)是周期函数,最小正周期为1;
④函数y=f(x)在[-
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321016_ST/4.png)
,
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321016_ST/5.png)
]上是增函数.
其中正确的命题的序号
.
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已知函数f(x)=x
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函数f(x)定义域为R,x、y∈R时恒有f(xy)=f(x)+f(y),若f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321014_ST/0.png)
)+f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321014_ST/1.png)
)=2,则f(
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131103101006059432134/SYS201311031010060594321014_ST/2.png)
)=
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