Question

1x2分之1加2X3分之1加3X4分之1，，，加2000X2001分之1？

用小学五年纪数学解答，谢谢

Answer 1

1x2分之1 等于1/1-2/1
2X3分之1 等于2/1-3/1
......(这是小学奥数的一个规律)
所以原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)
=1-1/2+1/2-1/3+1/3-1/4+...-1/2000+1/2000-1/2001
=1-1/2001

Answer 2

原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/2000-1/2001)
=1-1/2001
=2000/2001

Answer 3

1*2/1+2*3/1+3*4/1....+2000*2001/1
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.....+(1/2000-1/2001)
=1-1/2001
=2000/2001

好像是这样的吧！！！