1/3 +1/5 +1/7 +1/9 +1/11 +1/33 +1/35 +1/35 +1/45 +1/55 +1/77
来源:学生作业帮 编辑:作业帮 分类:综合作业 时间:2024/10/04 21:37:25
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!
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
3/1+5/1+7/1+11/1+33/1+35/1+45/1+55/1+77/1=?(/表示分数线)
1+1/15+3+1/35+5+1/63+7+1/99+9+1/143+11+1/195=?
(1+1/15)+(3+1/35)+(5+1/63)+(7+1/99)+(9+1/143)+(11+1/195)
已知(1/3-1/5)*1/2=1/15,(1/5-1/7)*1/2=1/35,(1/7-1/9)*1/2=1/63
(1/3+1/5+1/7+1/9)*(1/5+1/7+1/9+1/11)-(1/3+1/11+1/5+1/7+1/9)*
算术题巧答过程1+1/3+3+1/15+5+1/35+7+1/63+9+1/99+11+1/143
1又1/3+3又1/15+5又1/35+7又1/63+9又1/99+11又1/143 简便计算
1 1/15+3 1/35+5 1/63+7 1/99+9 1/143+11 1/195简算怎么做
1又1/15+3又1/35+5又1/63+7又1/99+9又1/143+11又1/195
简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11
(1/5+1/7+1/9+1/11)*(1/7+1/9+1/11+1/13)-(1/5+1/7+1/9+1/11+1/1
1/1*3+1/5*7+ 1/9*11+.1/(2n-1)(2n+1)