函数f(x)是定义域为R的偶函数,且对任意的x∈R,均有f(x+2)=f(x)成立.当x∈[0,1]时,f(x)=log
a(2-x)(a>1).
(1)当x∈[2k-1,2k+1](k∈Z)时,求f(x)的表达式;
(2)若f(x)的最大值为
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617019_ST/0.png)
,解关于x的不等式
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617019_ST/1.png)
.
考点分析:
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617016_ST/0.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617016_ST/3.png)
与
![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617016_ST/4.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617016_ST/5.png)
夹角为θ
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617016_ST/6.png)
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![manfen5.com 满分网](http://img.manfen5.com/res/GZSX/web/STSource/20131024182646104361741/SYS201310241826461043617016_ST/7.png)
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③若k=-2,则△ABC是锐角三角形;
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1•x
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