1/3 +1/5 +1/7 +1/9 +1/11 +1/33 +1/35 +1/35 +1/45 +1/55 +1/77注意,是11个分子为1的分数相加!

来源：学生作业帮助网编辑：作业帮时间：2024/05/03 21:01:27

1/3 +1/5 +1/7 +1/9 +1/11 +1/33 +1/35 +1/35 +1/45 +1/55 +1/77注意,是11个分子为1的分数相加!
1/3 +1/5 +1/7 +1/9 +1/11 +1/33 +1/35 +1/35 +1/45 +1/55 +1/77
注意,是11个分子为1的分数相加!

1/3 +1/5 +1/7 +1/9 +1/11 +1/33 +1/35 +1/35 +1/45 +1/55 +1/77注意,是11个分子为1的分数相加!
1/3+1/5+1/7+1/9+1/11+1/33+1/35+1/45+1/55+1/77 =1/3+1/5+1/7+1/9+1/11+(1/3-1/11)/8+(1/5-1/7)/2 +(1/5-1/9)/4+(1/5-1/11)/6+(1/7-1/11)/4 =1/3+1/5+1/7+1/9+1/11+(1/3)/8-(1/11)/8+(1/5)/2-(1/7)/2+ (1/5)/4-(1/9)/4+(1/5)/6-(1/11)/6+(1/7)/4-(1/11)/4 =(1/3)*[1+1/8] +(1/5)*[1+1/2+1/4+1/6] +(1/7)*[1-1/2+1/4] +(1/11)*[1-1/8-1/6-1/4] +(1/9)*[1-1/4] =(1/3)*(9/8)+(1/5)*(23/12)+(1/7)*(3/4)+(1/11)*(11/24)+(1/9)*(3/4) =(1/3)*(9/8)+(1/5)*(23/12)+(1/7)*(3/4)+1/24+1/12 =(3/8)+(1/5)*(23/12)+(1/7)*(3/4)+1/8 =1/2+(1/5)*(23/12)+(1/7)*(3/4) =(6*5*7+23*7+3*3*5)/(12*5*7) =[210+161+45]/(12*5*7) =416/(12*5*7) =104/105

(1+1/3+1/5+1/7)*(1/3+1/5+1/7+1/9)-(1+1/3+1/5+1/7+1/9)*(1/3+1/5+1/7) 简算(1+1/3+1/5+1/7)*(1/3+1/5+1/7+1/9)-(1+1/3+1/5+1/7+1/9)*(1/3+1/5+1/7) 简便计算简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11 (1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1 1/1*3+1/3*5+1/5*7+1/7*9+1/9*11 (1*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1 (1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=? 1+1+3+5+7+9 1/1*3+1/3*5+1/5*7+1/7*9+...1/17*19= 计算1/(1×3)+1/(3×5)+1/(5×7)+1/(7×9)+.+1/(19×21) 1/1×3+1/3×5+1/5×7+1/7×9+.+1/2013×2015 1/1*3+1/3*5+1/5*7+1/7*9+.+1/101*103 帮帮忙1/1*3+1/3*5+1/5*7+1/7*9+...1/99*101 1/1*3+1/3*5+1/5*7+1/7*9+1/49*51= 计算：1/1×3+1/3×5+1/5×7+1/7×9``````+1/2001×2003 1/1*3+1/3*5+1/5*7+1/7*9+.+1/49*51 1/1*3+1/3*5+1/5*7+1/7*9+...+1/2007*2009=? 1/1*3+1/3*5+1/5*7+1/7*9+.+1/2003*2005 -1/1*3-1/3*5-1/5*7-1/7*9-^-1/19*21