njtczjwu
幼苗
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【解】
y=2sin(x+π/4)cos(π/4-x)
=2sin(x+π/4)cos(π/2-( x+π/4))
=2sin(x+π/4)sin(x+π/4)
=2sin²(x+π/4)
=1-cos[2(x+π/4)]
=1-cos[2x+π/2]
=1+sin(2x),
令2x=kπ+π/2,k∈Z.
x=kπ/2+π/4,k∈Z.
函数y=2sin(x+π/4)cos(π/4-x)图像的对称轴是x=kπ/2+π/4,k∈Z.
1年前
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