1-3+5-7+9-11+.-1999+2001=?

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1-3+5-7+9-11+.-1999+2001=?1-3+5-7+9-11+.-1999+2001=?1-3+5-7+9-11+.-1999+2001=?1-3+5-7+9-11+.-1999+20

1-3+5-7+9-11+.-1999+2001=?
1-3+5-7+9-11+.-1999+2001=?

1-3+5-7+9-11+.-1999+2001=?
1-3+5-7+9-11+.-1999+2001
=(1-3)+(5-7)+...(1997-1999)+2001
=-2-2...-2(共500个)+2001
=-2*500+2001
=1001

原式=1+(-3+5)+...(-1999+2001)
=1+2+2+2+...+2
=1+2×(2001-1)÷2
=1+2000=2001