1×3/1+3×5/1+5×7/1+7×9/1+9×11/1+11×13/1简便运算

来源：学生作业帮助网 编辑：作业帮 时间：2024/07/12 11:49:10
1×3/1+3×5/1+5×7/1+7×9/1+9×11/1+11×13/1简便运算
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1×3/1+3×5/1+5×7/1+7×9/1+9×11/1+11×13/1简便运算
1×3/1+3×5/1+5×7/1+7×9/1+9×11/1+11×13/1简便运算

1×3/1+3×5/1+5×7/1+7×9/1+9×11/1+11×13/1简便运算
应该是1/(1*3)+1/(3*5)+1/(5*7)+1/(7*9)+1/(9*11)+1/(11*13)吧
1/(1*3)=(1/1-1/3)/2
1/(3*5)=(1/3-1/5)/2
.
1/(11*13)=(1/11-1/13)/2
所以 原式=(1/1-1/3)/2+(1/3-1/5)/2+.+(1/11-1/13)/2
=(1/1-1/13)/2
=6/13

1-3+5-7+... (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 (1/3+1/5+1/7)*(1/5+1/7+1/9)-(1/3+1/5+1/7+1/9)*(1/5+1/7)=? 1,3,5,7,9. 化简5／7：1／3 7/3*[7/5-(7/3+5/1)]简便算法 1/1*3+1/1*3*5+1/1*3*5*7+1/1*3*5*7*9-73/945 1/1*3*5+1/3*5*7+1/5*7*9.+1/95*97*99 1/1×3+1/3×5+1/5×7+1/7×9.+1/2011×2013 简算:1/1*3+1/3*5+1/5*7+1/7*9+1/9*11 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*3)/1+(3*5)/1+(5*7)/1+(7*9)/1+(9*11)/1