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给出下列命题:(1)存在实数α,使sinαcosα=1;(2)存在实数α,使sinα+cosα= 3 2 ;(3)函数y=sin( 5π 2 -2x)是偶函数;(4)方程x= π 6 是函数y=cos(x- π 6 )图象的一条对称轴方程;(5)若α,β是第一象限角,且α>β,则tanα>tanβ.(6)把函数y=cos(2x+ π 12 )的图象向右平移 π 12 个单位,所得的函数解析式为y=cos(2x- π 12 )其中正确命题的序号是 ______.(注:把你认为正确的命题的序号都填上)
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