1-2+3-4+5-6+7-8+9.......-2012+2013=1007
1-2+3-4+5-6+7-8+9.......-2012+2013
=(1-2)+(3-4)+(5-6)+(7-8)+(9-10)+.......+(2011-2012)+2013
=-1×2012/2+2013
=-1006+2013
=1007
原式=(1-2)+(3-4)+(5-6)+(7-8)+9-.....(2011-2012)+2013
=1006(-1)+2013
=-1006+2013
=1007.