0≤x<2时f(x)=x^3-x=x(x+1)(x-1)=0, x=0, 1,由周期性,得; f(0)=f(1)=f(2)=.....=f(n)=0因此在区间[0,6]上与x轴交点为0,1,2,3,4,5,6,共7个