计算,2012²-2011²+2010²-2009²……+4²-3&#

2012²-2011²+2010²-2009²……+4²-3²+2²-1
=(2012²-2011²)+(2010²-2009²)……+(4²-3²)+(2²-1)
=(2012+2011)(2012-2011)+(2010+2009)(2010-2009)+……+(4+3)(4-3)+(2+1)(2-1)
=2012+2011+2010+2009+...+4+3+2+1
=(2012+1)×2012÷2
=2025078