六年级数奥题一堆.【1】1-1/2-1/4-1/8-1/16-1/32-1/64【2】1/2002+2/2002+3/2

5个回答

  • 【1】1-1/2-1/4-1/8-1/16-1/32-1/64

    =1-1/2-1/4-1/8-1/16-1/32-1/64-1/64+1/64

    =1-1/2-1/4-1/8-1/16-1/32-1/32+1/64

    =1-1/2-1/4-1/8-1/16-1/16+1/64

    =1-1/2-1/4-1/8-1/8+1/64

    =1-1/2-1/4-1/4+1/64

    =1-1/2-1/2+1/64

    =1-1+1/64

    =1/64

    【2】1/2002+2/2002+3/2002+4/2002-5/2002-6/2002-7/2002-8/2002+9/2002.+2001/2002+2002/2002

    =[(1+2+3+4-5-6-7-8)+(9+.)+2001+2002]/2002 8个数一组,共250组零两个

    =[(-16)*250+2001+2002]/2002

    =[-4000+2001+2002]/2002

    =3/2002

    【3】1/2+(1/3+2/3)+(1/4+2/4+3/4)+(1/5+2/5+3/5+4/5)+.+(1/20+2/20+3/20+.+18/20+19/20)

    =1/2+2/2+3/2+4/2+.+19/2

    =(1+2+3+4+.+19)/2

    =[19*(19+1)/2]/2

    =19*20/4

    =19*5

    =95