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
人气:362 ℃ 时间:2019-08-17 17:35:31
解答
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-...
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