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,](/uploads/image/z/628993-1-3.jpg?t=%E8%AE%BE%E5%87%BD%E6%95%B0f%28x%29%3Dsin%282x%2B%E5%85%80%2F4%29%2Bcos%282x%2B%E5%85%80%2F4%29%2C%E5%88%99%E5%B0%B1%E7%AE%97%E7%AC%AC%E5%8D%81%E4%B8%80%E9%A2%98%2C)
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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设函数f(x)=sin(2x+兀/4)+cos(2x+兀/4),则就算第十一题,