1-3/(2*4)=(2*4-3)/(2*4)=(3^2-1-3)/(2*4)=(3^2-2^2)/(2*4)=(3+2)(3-2)/(2*4)=(1*5)/(2*4)
1-3/(3*5)=(3*5-3)/(3*5)=(4^2-1-3)/(3*5)=(4^2-2^2)/(3*5)=(4+2)(4-2)/(3*5)=(2*6)/(3*5)
1-3/(4*6)=(4*6-3)/(4*6)=(5^2-1-3)/(4*6)=(5^2-2^2)/(4*6)=(5+2)(5-2)/(4*6)=(3*7)/(4*6)
………………………………
1-3/(9*11)=(9*11-3)/(9*11)=…………=(8*12)/(9*11)
(1-3/2*4)*(1-3/3*5)*(1-3/4*6)*(1-3/5*7)(1-3/6*8)*(1-3/7*9)*(1-3/8*10)*(1-3/9*11)
=(1*2*3*……*8)*(5*6*7*……*12)/(2*3*4*……*9)*(4*5*6*……*11)
=(1/9)*(12/4)
=1/3
(1-3/2×4)×(1-3/3×5)×(1-3/4×6)×.×(1-3/9×11)简便计算
(1-3/2×4)×(1-3/3×5)×(1-3/4×6)×.×(1-3/9×11)简便计算
数学人气:639 ℃时间:2020-02-27 15:54:42
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