小学六年级奥数计算题,最好是所有类型全部写出.一定要有答案,有过程.拜托各位!

1个回答

  • 1/8+1/15+1/24+1/35+1/48+1/63+1/80+1/99+1/120+1/143

    =1/2×(1/2-1/4)+1/2×(1/3-1/5)+1/2×(1/4-1/6)+1/2×(1/5-1/7)+1/2×(1/6-1/8)+1/2×(1/7-1/9)+1/2×(1/8-1/10)+1/2×(1/9-1/11)+1/2×(1/10-1/12)+1/2×(1/11-1/13)

    =1/2×(1/2-1/4+1/3-1/5+1/4-1/6+1/5-1/7+1/6-1/8+1/7-1/9+1/8-1/10+1/9-1/11+1/10-1/12+1/11-1/13)

    =1/2×(1/2+1/3-1/12-1/13)

    =1/2×(78/156+52/156-13/156-12/156)

    =1/2×35/52

    =35/104

    20062007*2006-20062006*2007+20062006

    =20062007*2006-20062006*(2006+1)+20062006

    =20062007*2006-20062006*2006

    =2006*(20062007-20062006)

    =2006

    2^2/1*3+3^2/2*4+4^2/3*5+.+99^2/98*100

    =(1+1/1*3)+(1+1/2*4)+(1+1/3*5).+(1+1/98*100)

    =1*98+(1/1*3+1/3*5+1/5*7+……+1/97*99)+(1/2*4+1/4*6+1/6*8+……+1/98*100)

    =98+1/2*(1+1/3-1/5+1/5-1/7+……+1/97-1/99)+1/2*(1/2-1/4+1/4-1/6+1/6-1/8+……+1/98-1/100)

    =98+1/2*(1-1/99+1/2-1/100)

    =98+1/2*(9900+4950-100-99)

    =98+14651/19800