(1-1/3)*(1-1/4)*(1-1/5)*……*(1-1/2009)*2009=?找规律,巧计算
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![(1-1/3)*(1-1/4)*(1-1/5)*……*(1-1/2009)*2009=?找规律,巧计算](/uploads/image/z/2984389-61-9.jpg?t=%281-1%2F3%29%2A%281-1%2F4%29%2A%281-1%2F5%29%2A%E2%80%A6%E2%80%A6%2A%EF%BC%881-1%2F2009%29%2A2009%3D%3F%E6%89%BE%E8%A7%84%E5%BE%8B%2C%E5%B7%A7%E8%AE%A1%E7%AE%97)
(1-1/3)*(1-1/4)*(1-1/5)*……*(1-1/2009)*2009=?找规律,巧计算
(1-1/3)*(1-1/4)*(1-1/5)*……*(1-1/2009)*2009=?找规律,巧计算
(1-1/3)*(1-1/4)*(1-1/5)*……*(1-1/2009)*2009=?找规律,巧计算
(1-1/3)*(1-1/4)*(1-1/5)*……*(1-1/2009)*2009
=(2/3)*(3/4)*(4*5)*.*(2008/2009)*2009
=2*(3/3)*(4/4)*.*(2009/2009)
=2