把函数y=-2sin(x-π/3)的图像向左平移m(m大于0)个单位,所得图像关于y轴对称,求m最小值
问题描述：
把函数y=-2sin(x-π/3)的图像向左平移m(m大于0)个单位,所得图像关于y轴对称,求m最小值
答
5π/6
答
向左平移m个单位f(x)=y=-2sin(x+m-π/3)关于y轴对称则f(-x)=f(x)所以-2sin(-x+m-π/3)=-2sin(x+m-π/3)sin(-x+m-π/3)=sin(x+m-π/3)所以-x+m-π/3=2kπ+x+m-π/3或-x+m-π/3=2kπ+π-(x+m-π/3)-x+m-π/3=2kπ+x+m-...