(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/1001-1)*(1/1000-1)
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(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/1001-1)*(1/1000-1)
![(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/1001-1)*(1/1000-1)](/uploads/image/z/15024318-6-8.jpg?t=%EF%BC%881%2F2010-1%29%2A%281%2F2009-1%29%2A%281%2F2008-1%29%2A...%2A%281%2F1001-1%29%2A%281%2F1000-1%29)
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/1001-1)*(1/1000-1)
=(-1)的1011次方*(1-1/2010)*(1-1/2009)*(1-1/2008)*...*(1-1/1001)*(1-1/1000)
=-(2009/2010)*(2008/2009)*(2007/2008)*...*(1000/1001)*(999/1000)
=-999/2010
=(-1)的1011次方*(1-1/2010)*(1-1/2009)*(1-1/2008)*...*(1-1/1001)*(1-1/1000)
=-(2009/2010)*(2008/2009)*(2007/2008)*...*(1000/1001)*(999/1000)
=-999/2010
(1/2010-1)*(1/2009-1)*(1/2008-1).(1/1001-1)*(1/1000-1)
(1/2010-1)*(1/2009-1)*(1/2008-1)*...*(1/1001-1)*(1/1000-1)
(2010/1-1)x(2009/1-1)x(2008/1-1).(1001/1-1)x(1000/1-1)=?
(1/2010-1)*(1/2009-1)*(1/2008-1)*…(1/1001-1)*(1/1000-1)=?1/1
(2009/1-1)×(2008/1-1)×(2007/1-1)×.×(1001/1-1)×(1000/1-1)
数学题:(1/2009-1)x(1/2008-1)x(1/2007-1)x...x(1/1001-1)x(1/1000-
(2011分之1-1)*(2010分之1-1)*(2009分之1-1)*...*(1001分之1-1)*(1000分之1
2010分之1-1)×(2009分之1-1)×(2008分之1-1).(1001分之-1)×(1000分之1-1)
计算|1/2011-1/2010|+|1/2010-1/2009|+|1/2009-1/2008|-|1/2008-1/
计算:|1/2008-1/2007|+|1/2009-1/2008|+|1/2010-1/2009|-|1/2010-1
1/1000+1/1001+1/1002+.+1/2008=?
(1-1/2008)*(1-1/2007)````````*(1-1/1001)*(1-1/1000)