若|x-1|+（y-2）的平方=0 ,
x-1=0 y-2=0
x=1 y=2
1/xy+1/(x+1)(y+1)+1/(x+2)(y+2)+……1/(x+2010)(y+2010)
=1/1*2+1/2*3+1/3*4+.+1/2011*2012
=1-1/2+1/2-1/3+1/3-1/4+.+1/2011-1/2012
=1-1/2012
=2011/2012