答:切线y=-3x+m斜率k=y'(x)=-3y=x³-3x²求导:y'(x)=3x²-6x则有:k=y'(x)=3x²-6x=-3所以:x²-2x+1=0解得:x=1代入曲线得:y=1-3=-2切点(1,-2)代入直线y=-3x+m得:m=y+3x=-2+3=1所以:m=1