小学六年级数学2/(1/3)+2/(2/3)+2/(3*4)+······+2/(2008*2009)=?抱歉,有些错误。2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)=?

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小学六年级数学2/(1/3)+2/(2/3)+2/(3*4)+······+2/(2008*2009)=?抱歉,有些错误。2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)=?
小学六年级数学2/(1/3)+2/(2/3)+2/(3*4)+······+2/(2008*2009)=?
抱歉,有些错误。2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)=?

小学六年级数学2/(1/3)+2/(2/3)+2/(3*4)+······+2/(2008*2009)=?抱歉,有些错误。2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)=?
2/(1*2)+2/(2*3)+2/(3*4)+······+2/(2008*2009)
=2*(1-1/2+1/2-1/3+1/3-1/4.1/2008-1/2009)
=2*(1-1/2009)
=2*2008/2009
=4016/2009

2

????

1/1×2+1/2×3+1/3×4+······+1/2008×2009
=1-1/2+1/2-1/3+……+1/2008-1/2009 相邻的正好消掉,只剩下1-1/2009
=1-1/2009
=2008/2009

1,普遍这种题都得一

1吧

看看 1*(2*3)/(3*4)*(4*5)/(5*6)······*(2008*2009)/(2009*2010)
=1*2/2010
=1/1005