1.找规律,巧计算.

问题描述:

1.找规律,巧计算.
(1-1/3)x(1-1/4)x(1-1/5)x……x(1-1/2009)x2009
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解题思路:
2.巧算.
(10-7/55x1)+(9-7/55x2)+(8-7/55x3)+……+(1-7/55x10)
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解题思路:

(1-1/3)x(1-1/4)x(1-1/5)x……x(1-1/2009)x2009 =2/3×3/4×4/5×5/6×…×2007/2008×2008/2009 ×2009 =2/2009 ×2009=2 2.巧算.(10-7/55x1)+(9-7/55x2)+(8-7/55x3)+……+(1-7/55x10)=(10+9+8+…...