(1+1⼀2)×(1+1⼀4)×(1+1⼀6)×...×(1+1⼀10)×(1-1⼀3)×(1-1⼀5)×...×(1-1⼀9)简便运算

2025-01-05 00:27:42
推荐回答(3个)
回答1:

(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×...×11/10×2/3×4/5×...×8/9
=3/2×2/3×5/4×4/5×....×9/8×8/9×11/10
=11/10

回答2:

原式=(1+1/2)(1-1/3)*(1+1/4)(1-1/5)*...*(1+1/8)(1-1/9)*(1+1/10)
=1*1*1*...*1*11/10
=11/10

回答3:

我认为不需要什么简便计算
=3/2*5/4*7/6*9/8*11/10*2/3*4/5*6/7*8/9
消元后
=11/10