∴|x-1|=0；（xy-2）2=0
∴x=1，y=2；
（2）原式=
| 1 |
| 2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 4×5 |
| 1 |
| 2010×2011 |
=
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 2009 |
| 1 |
| 2010 |
| 1 |
| 2010 |
| 1 |
| 2011 |
| 2010 |
| 2011 |
| 1 |
| xy |
| 1 |
| (x+1)(y+1) |
| 1 |
| (x+2)(y+2) |
| 1 |
| (x+2009)(y+2009) |
| 1 |
| 2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 4×5 |
| 1 |
| 2010×2011 |
| 1 |
| 2 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 4 |
| 1 |
| 4 |
| 1 |
| 5 |
| 1 |
| 2009 |
| 1 |
| 2010 |
| 1 |
| 2010 |
| 1 |
| 2011 |
| 2010 |
| 2011 |