据观察得出1-3+5-7....-1999共1000项可以分成(1-3)+(5-7)....+(1997-1999)等500项原算式=-2*500+2001=1001
1-3+5-7+9-11……-1999+2001=(-2)+(-2)+……+(-2)+2001= -2×500+2001= -1000+2001=1001