1/1×3+1/3×5+1/5×7+…1/17×19+1/19×21这道题如何简便运算?用算术法做!答对加50分!
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![1/1×3+1/3×5+1/5×7+…1/17×19+1/19×21这道题如何简便运算?用算术法做!答对加50分!](/uploads/image/z/30675-3-5.jpg?t=1%2F1%C3%973%2B1%2F3%C3%975%2B1%2F5%C3%977%2B%E2%80%A61%2F17%C3%9719%2B1%2F19%C3%9721%E8%BF%99%E9%81%93%E9%A2%98%E5%A6%82%E4%BD%95%E7%AE%80%E4%BE%BF%E8%BF%90%E7%AE%97%3F%E7%94%A8%E7%AE%97%E6%9C%AF%E6%B3%95%E5%81%9A%21%E7%AD%94%E5%AF%B9%E5%8A%A050%E5%88%86%21)
1/1×3+1/3×5+1/5×7+…1/17×19+1/19×21这道题如何简便运算?用算术法做!答对加50分!
1/1×3+1/3×5+1/5×7+…1/17×19+1/19×21这道题如何简便运算?
用算术法做!答对加50分!
1/1×3+1/3×5+1/5×7+…1/17×19+1/19×21这道题如何简便运算?用算术法做!答对加50分!
=1/2*(2/(1*3)+2/(3*5)+2/(5*7)+...+2/(19*21))
=1/2*(1-1/3+1/3-1/5+1/5-1/7+...+1/19-1/21)
=1/2*(1-1/21)
=10/21
原式=1/2(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9+ )=1/2(1-1/21)=10/21
1/1*3+1/3*5+1/5*7……+1/17*19
简算:1/(1*3)+1/(3*5)+1/(5*7)+……+1/(99*101)=
1/1*3+1/3*5+1/5*7……1/97*99=
1×3/1+3×5/1+5×7/1……+49×51/1
1/1×3 1/3×5 1/5×7 …… 1/2009×2010等于多少
1/1*3+1/3*5+1/5*7+……+1/2003*2005结果是什么?
1/1×3+1/3×5+1/5×7+……+1/47×49简便计算
1/1*3+1/3*5+1/5*7+……+1/47*49
1/3×1/5+1/5×1/7+1/7×1/9+……+1/97×1/99
1+1/1*3+1/3*5+1/5*7+1/7*9+……+1/99*101=?
1×1/3+1/3×1/5+1/5×1/7+……+1/99×1/101
1/3*5+1/5*7+1/7*9+……1/97*99
计算1/1×3+1/3×5+1/5×7+…+1/1997×1999
计算:1/1*3+1/3*5+1/5*7+…+1/99*101.怎么来?
1/(1+3)+1/(3+5)+1/(5+7)…+1/(99+101)=( )简便计算
1/1*3+1/3*5+1/5*7+…+1/97*99找规律计算
1/1×3+1/3×5+1/5×7+…+1/99×101 等于多少啊
1/3×1+1/3×5+1/5×7…1/2009×2011等于多少