(1+1/20+1/30)*(1/20+1/30+1/40)-(1+1/20+1/30+1/40)*(1/20+1/30)
来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/25 17:58:17
(1+1/20+1/30)*(1/20+1/30+1/40)-(1+1/20+1/30+1/40)*(1/20+1/30)
(1+1/20+1/30)*(1/20+1/30+1/40)-(1+1/20+1/30+1/40)*(1/20+1/30)
(1+1/20+1/30)*(1/20+1/30+1/40)-(1+1/20+1/30+1/40)*(1/20+1/30)
(1+1/20+1/30)*(1/20+1/30+1/40)-(1+1/20+1/30+1/40)*(1/20+1/30)
=(1+1/20+1/30)*(1/20+1/30)+(1+1/20+1/30)*(1/40)-(1+1/20+1/30+1/40)*(1/20+1/30)
=(1+1/20+1/30-1-1/20-1/30-1/40)*(1/20+1/30)+(1+1/20+1/30)*(1/40)
=-1/40*(1/20+1/30)+(1+1/20+1/30)*(1/40)
=1/40*(1++1/20+1/30-1/20-1/30)
=1/40*1=1/40
1/40
用分配率很快的么……太懒了吧
1/20+1/30=1/12
1/20+1/30+1/40=13/120
原式=(1+1/12)13/120-(1+13/120)1/12=169/1440-133/1440=36/1440=1/40
分解开来啊
每个都相乘
1/20+1/30+1/40`````左边减右边``````1/20+1/30
+1/20^2```````````````````````````+1/20^2
+1/20*1/30`````````````````````````+1/20*1/30
+1/20*1/40````````````````````````+1/30*...
全部展开
分解开来啊
每个都相乘
1/20+1/30+1/40`````左边减右边``````1/20+1/30
+1/20^2```````````````````````````+1/20^2
+1/20*1/30`````````````````````````+1/20*1/30
+1/20*1/40````````````````````````+1/30*1/20
+1/30*1/20``````````````````````````+1/30^2
+1/30^2````````````````````````````+1/40*1/20
+1/30*1/40`````````````````````````1/40*1/30
可以发现很多可以消除``
只剩下1/40
答案就是这个``
收起
1/40