2011^2-2009^2+2007^2-2005^2+……+3^2-1^2
=(2011-2009)(2011+2009)+……+(3-1)(3+1)
=2(2011+2009+……+3+1)
=2*(2011+1)*1006/2
=2012*1006
=2024072.希望能够帮助到你.