设函数f(x)=sin(2x+兀/4)+cos(2x+兀/4),则就算第十一题,

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设函数f(x)=sin(2x+兀/4)+cos(2x+兀/4),则就算第十一题,
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设函数f(x)=sin(2x+兀/4)+cos(2x+兀/4),则就算第十一题,
设函数f(x)=sin(2x+兀/4)+cos(2x+兀/4),则
就算第十一题,

设函数f(x)=sin(2x+兀/4)+cos(2x+兀/4),则就算第十一题,
f(x)=sin(2x+兀/4)+cos(2x+兀/4)
    =sin2xcos(π/4)+cos2xsin(π/4)+cos2xcos(π/4)-sin2xsin(π/4)
   =(√2/2)*(sin2x+cos2x+cos2x-sin2x)
   =√2cos2x
利用图像

 
(1) 在（0,π/2）上单调递减
(2)一条对称轴为x=π/2
选D

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