230问答网 > (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)

(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)

2025-01-02 13:00:08

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)
=3／2×5／4×7／6×···×11／10×2／3×4／5×··×8／9=11／10

回答2：

原式= 3/2×5/4×7/6×……×9/8×11/10
×2/3×4/5×6/7×……×8/9
=11／10

回答3：

(1+1/2)×(1+1/4)×(1+1/6)×(1+1/8)×(1+1/10)×(1-1/3)×(1-1/5)×(1-1/7)×(1-1/9)
=3/2×5/4×7/6×9/8×11/10×2/3×4/5×6/7×8/9
=(3/2×2/3)×(5/4×4/5)×(7/6×6/7)×(9/8×8/9)×11/10
=11/10