Question

求解一道初中奥赛数学题！

1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+..........+1/2011-1/2012＝？
求解过程……麻烦……不要开玩笑

Answer 1

1-1/2+1/3-1/4+.....+1/2011-1/2012
=(1+1/3+1/5+....+1/2011)-(1/2+1/4+....+1/2012)
=(1+1/3+1/5+.....+1/2011+1/2+1/4+.....+1/2012)-(1/2+1/2+1/4+1/4+.....+1/2012+1/2012)
=(1+1/2+1/3+1/4+.....+1/2011+1/2012)-(1+1/2+1/3+....+1/1006)
=1/1007+1/1008+1/1009+....+1/2011+1/2012
我找不到更好的结果了

Answer 2

1-1/2+1/3-1/4+.....+1/2011-1/2012
=(1+1/3+1/5+....+1/2011)-(1/2+1/4+....+1/2012)
=(1+1/3+1/5+.....+1/2011+1/2+1/4+.....+1/2012)-(1/2+1/2+1/4+1/4+.....+1/2012+1/2012)
=(1+1/2+1/3+1/4+.....+1/2011+1/2012)-(1+1/2+1/3+....+1/1006)
=1/1007+1/1008+1/1009+....+1/2011+1/2012

Answer 3

上式=（1+1/3+1/5+......+1/2011)-(1/2+1/4+1/6+......+1/2012)
这两个式子应该是有两个 “ 求和公式” 的，我忘了，你再上网查查看吧，，就能帮你到这里了

Answer 4

1-1/2+1/3-1/4+.....+1/2011-1/2012
=(1+1/3+1/5+....+1/2011)-(1/2+1/4+....+1/2012)
=(1+1/3+1/5+.....+1/2011+1/2+1/4+.....+1/2012)-(1/2+1/2+1/4+1/4+.....+1/2012+1/2012)
=(1+1/2+1/3+1/4+.....+1/2011+1/2012)-(1+1/2+1/3+....+1/1006)
=1/1007+1/1008+1/1009+....+1/2011+1/2012
这小学生也会。

Answer 5

1