若a.b互为相反数c.d互为负倒数,m的绝对值为2,求4m分之|a+b|+2m-3cd-2010am+1-2010bm的值.
问题描述:
若a.b互为相反数c.d互为负倒数,m的绝对值为2,求4m分之|a+b|+2m-3cd-2010am+1-2010bm的值.
答
a.b互为相反数,a+b=0,4m分之|a+b|=0
c.d互为负倒数,3cd=-3
4m分之|a+b|+2m-3cd-2010am+1-2010bm
=2m+3+1-2010m(a+b)
=2m+4
m=-2,原式=2m+4=-4+4=0
m=2,原式=2m+4=4+4=8对的?