2012²-2011²+2010²-2009²+……+2²-1²
=(2012²-2011²)+(2010²-2009²)+……+(2²-1²)
=(2012-2011)×(2012+2011)+(2010-2009)×(2010+2009)+……+(2-1)×(2+1)
=2012+2011+2010+2009+……+2+1
=(2012+1)×(2012÷2)
=2013×1006
=2025078
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