∴|ab-2|+|b-1|=0,
∴ab=2,b=1,
∴a=2,
∴原式=
1 |
1×2 |
1 |
2×3 |
1 |
3×4 |
1 |
2012×2013 |
=1-
1 |
2 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
4 |
1 |
2012 |
1 |
2013 |
=1-
1 |
2013 |
=
2012 |
2013 |
1 |
ab |
1 |
(a+1)(b+1) |
1 |
(a+2)(b+2) |
1 |
(a+2011)(b+2011) |
1 |
1×2 |
1 |
2×3 |
1 |
3×4 |
1 |
2012×2013 |
1 |
2 |
1 |
2 |
1 |
3 |
1 |
3 |
1 |
4 |
1 |
2012 |
1 |
2013 |
1 |
2013 |
2012 |
2013 |