(1)-1+3-5+7-9+11-…-1997+1999=(-1+3)+(-5+7)+(-9+11)+...+(-1997+1999)
=2+2+..+2(1000个)=2*1000=2000...ANS
(2)11+12-13-14+15+16-17-18+…+99+100
=(11+12-13-14)+(15+16-17-18)+…+(95-96-97+98)+99+100 [22组]
=(-4)+(-4)+...+(-4)+199=-88+199=111...ANS
(3)1991×1999-1990×2000 令 1991=A
=> A(A+8)-(A-1)(A+9)=A^2+8A-(A^2+8A-9)=9...ANS
(1)(-1+3)+(-5+7)+...+(-1997+1999)=500*2=1000
(2)(11+12-13-14)+...+(99+100-101-102)+101+102=-4*18+203=131
(3)1991*1999-(1991-1)*2000=1991(1999-2000)+2000=-1991+2000=9
-1+3-5+7-9+11-…-1997+1999
=(-1+3)+(-5+7)+(-9+11)+…+(-1997+1999)
=2+2+2+……+2
=2×500
=1000
11+12-13-14+15+16-17-18+…+99+100
=11+12+(-13-14+15+16)+(-17-18+19+20)+…+(-97-98+99+100)
=11+12+4×22
=111
1991×1999-1990×2000
=(1990+1)×1999-1990×(1999+1)
=1990×1999+1999-1990×1999-1990
=9
1+4+7+…+244
=(1+244)+(2+241)+……+(121+124)
=245×41
=10045
额,这好像是小学的题啊
提问题的是小朋友哇。。。看明白他们的思路了吗?