二应用曲线的对称性研究曲线的其他性质定理4、(简化单调性的研究)(1)若曲线y=f(x)关于直线x=m对称,则在关于点(m,0)的对称区间里,曲线y=f(x)有相反的单调性;(2)若曲线y=f(x)关于点(m,n)对称,则在点(m,0)的对称区间里,曲线y=f(x)有相同的单调性。 Second, apply the curve symmetry to study other properties of the curve Theorem 4, (Simplify the study of monotonicity) (1) If the curve y = f (x) on the straight line x = m symmetry, then on the point (m, 0) symmetry In the interval, the curve y=f(x) has the opposite monotonicity; (2) If the curve y=f(x) is symmetrical about the point (m,n), then in the symmetry interval of the point (m,0), the curve y=f(x) has the same monotonicity.