一道初一竞赛试题若a=2,b=11/ab+1/(a+1)*(b+1)+1/(a+2)*(b+2).+1/(a+2007)*(b+2007)得多少1小时内关闭问题
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![一道初一竞赛试题若a=2,b=11/ab+1/(a+1)*(b+1)+1/(a+2)*(b+2).+1/(a+2007)*(b+2007)得多少1小时内关闭问题](/uploads/image/z/3352510-46-0.jpg?t=%E4%B8%80%E9%81%93%E5%88%9D%E4%B8%80%E7%AB%9E%E8%B5%9B%E8%AF%95%E9%A2%98%E8%8B%A5a%3D2%2Cb%3D11%2Fab%2B1%2F%28a%2B1%29%2A%28b%2B1%29%2B1%2F%28a%2B2%29%2A%28b%2B2%29.%2B1%2F%28a%2B2007%29%2A%28b%2B2007%29%E5%BE%97%E5%A4%9A%E5%B0%911%E5%B0%8F%E6%97%B6%E5%86%85%E5%85%B3%E9%97%AD%E9%97%AE%E9%A2%98)
一道初一竞赛试题若a=2,b=11/ab+1/(a+1)*(b+1)+1/(a+2)*(b+2).+1/(a+2007)*(b+2007)得多少1小时内关闭问题
一道初一竞赛试题
若a=2,b=1
1/ab+1/(a+1)*(b+1)+1/(a+2)*(b+2).+1/(a+2007)*(b+2007)得多少
1小时内关闭问题
一道初一竞赛试题若a=2,b=11/ab+1/(a+1)*(b+1)+1/(a+2)*(b+2).+1/(a+2007)*(b+2007)得多少1小时内关闭问题
将a=1,b=2分别代入
原式=1/(2*1)+1/(3*2)+1/(4*3)+……+1/(1997*1996)
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+……+(1/1996-1/1997)
=1-1/2+1/2-1/3+1/3-1/4+……+1/1996-1/1997
=1-1/1997
=1996/1997