1、(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)

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1、(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
1、(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)

1、(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=1+3+5+.+2011-2-4-6-.-2012
=(1-2)+(3-4)+(5-6)+.+(2011-2012)
=(-1)+(-1)+(-1)+.+(-1)(1006个-1)
=-1006

(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=1-2+3-4+......+2011-2012
=(-1)*1006=-1006

把括号拆开,1+3+5+···+2009+2011-2-4-6-···-2010-2012
=(1-2)+(3-4)+5-。。。(+2011-2012)
=-1*1006=-1006

1、(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=(1-2)+(3-4)+...+(2011-2012)
=-1×1006
=-1006

-1006

(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=(1-2)+(3-4)+(5-6)+……+(2009-2010)+(2011-2012)
=(-1)+(-1)+(-1)+……+(-1)+(-1)
=(-1)×1006
=-1006

(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=(1-2)+(3-4)+(5-6)+(7-8)+……+(2011-2012)
=-1-1-1-1……-1
=-1×1006
=-1006

(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=1-2+3-4+5-6···+2011-2012
=(1-2)+(3-4)+(5-6)···+(2011-2012)
=-1X(2012/2)
=-1X1006
=-1006

(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)
=1-2+3-4+......+2011-2012
=-1-1-1-1-1-···-1
=(-1)×1006=-1006

(1+3+5+···+2009+2011)-(2+4+6+···+2010+2012)=
(1-2)+(3-4)+(5-6)+···+(2011-2012)(共(2011-1)/2+1个)
=-1*(2010/2+1)
=-1006

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