2/7×9+3/9×15+4/15×23+5/23×33
来源:百度知道 编辑:UC知道 时间:2024/06/08 12:24:45
巧算2/7×9+3/9×15+4/15×23+5/23×33
2/7×9+3/9×15+4/15×23+5/23×33
=1/7-1/9+0.5(1/9-1/15)+0.5*(1/15-1/23)+0.5(1/23-1/33)
=1/7-1/18-1/66
=50/693
2/7×9+3/9×15+4/15×23+5/23×33
=(1/7-1/9)+(1/9-1/15)/2+(1/15-1/23)/2+(1/23-1/33)/2
=(1/7-1/9)+(1/9-1/15+1/15-1/23+1/23-1/33)/2
=1/7-1/9+(1/9-1/33)/2
=1/7-1/9+1/18-1/66
=50/693
你题目是否有错?
是不是1/7×9+3/9×15+4/15×23+5/23×33?
如果是则
1/7×9+3/9×15+4/15×23+5/23×33
=(1/7-1/9)/2+(1/9-1/15)/2+(1/15-1/23)/2+(1/23-1/33)/2
=(1/7-1/9+1/9-1/15+1/15-1/23+1/23-1/33)/2
=(1/7-1/33)/2
=13/231
1/7-1/9+1/2(1/9-1/15)+1/2(1/15-1/23)+1/2(1/23-1/33=
好久没接触了,帮不了你了
1 2/3 5/9 (?) 7/15 4/9 4/9
3,8/9,7/27,2/27,()
找规律:2/4 3/6 5/8 7/9 ()/() ()/()
1,2/3,5/9,(),7/15,4/9
数字推理 20/9,4/3,7/9,4/9,2/9,( )
2/3+2/(3×5)+2/(5×7)+2/(7×9)+2/(9×11)+2/(11×13)
奥数题:1/2/3/4/5/6/7/8/9=2.8
1/1+(2/1-1/2)+(3/1-2/2+1/3)+(4/1-3/2+2/3-1/4)+...+(9/1-8/2+7/3-6/4+5/5-4/6+3/7-2/8+1/9=
1/2 3/5 2/3 5/7 3/4 7/9 4/5......n请用一个式子表示n
3/2 5/6 7/12 9/20 ( )?