(1/2000-1)*(1/2001-1)*.(1/2008-1)=
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![(1/2000-1)*(1/2001-1)*.(1/2008-1)=](/uploads/image/z/15188094-54-4.jpg?t=%281%2F2000-1%29%2A%281%2F2001-1%29%2A.%281%2F2008-1%29%3D)
(1/2000-1)*(1/2001-1)*.(1/2008-1)=
(1/2000-1)*(1/2001-1)*.(1/2008-1)=
(1/2000-1)*(1/2001-1)*.(1/2008-1)=
原式=(-1999/2000)*(-2000/2001)*……*(-2007/2008)
一共有9项,都是负的,所以结果也是负的,另外约分
=-1999/2008
看到这样的题不用怕,把它略化简一下,就能看到可以约掉的东西了~