函数 y=sin x/2 +(√3)cos x/2 的图像的一条对称轴方程是
人气:124 ℃ 时间:2019-10-11 10:18:00
解答
y=sin x/2 +(√3)cos x/2
=2sin(1/2*sinx/2+cos x/2*√3/2)
=2sin(sinx/2*cosπ/3+cos x/2*sinπ/3)
=2sin(x/2+π/3)
令x/2+π/3=kπ+π/2,则x=2kπ+π/3
令k=0,x=π/3就是一条对称轴 .(它的对称轴有无数多条.)
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