一道简便运算的数学题(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 21:28:50
一道简便运算的数学题(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)一道简便运算的数学题(1+1/2)*(1+1/4)*(1+1

一道简便运算的数学题(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)
一道简便运算的数学题
(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)

一道简便运算的数学题(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)
(1+1/2)*(1+1/4)*(1+1/6)*.*(1+1/10)*(1-1/3)*(1-1/5)*.*(1-1/9)
=3/2*5/4*7/6*……*11/10*2/3*4/5*……*8/9
=3/2*2/3*5/4*4/5*7/6*6/7*……*9/8*8/9*11/10
约分
=11/10