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Mathematics problems of cultivating excellent students in senior one;
a = 2005×2007/2006 =(2006- 1)×(2006+ 1)/2006 =(2006×2006- 1)/2006 = 2006- 1/2006

b = 2006×2008/2007 =(2007- 1)×(2007+ 1)/2007 =(2007×2007- 1)/2007 = 2007- 1/2007

c = 2007×2009/2008 =(2008- 1)×(2008+ 1)/2008 =(2008×2008- 1)/2008 = 2008- 1/2008

Therefore, a < b<c.

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