从保定到狼牙山怎么走:脑筋急转弯:1至6编算式的题目。谁来一下? (续4)

来源:百度文库 编辑:高考问答 时间:2024/04/26 04:50:14
脑筋急转弯:1至6编算式的题目。谁来一下? (续一)
来试试噢!求全解的话。行吗?

□□□□=45
□□□□=54
请填入1236,使之成为等式。

□□□□=46
□□□□=64
请填入1235,使之成为等式。

1、□□□□=45 ,2个:
(21-6)*3=45,3*(21-6)=45

2、□□□□=54 ,23个:
(12-3)*6=54,(1+2)*3*6=54,(12+6)*3=54,(1+2)*6*3=54,162/3=54
(16+2)*3=54,(2+1)*3*6=54,(2+16)*3=54,(2+1)*6*3=54,3*(12+6)=54
3*(1+2)*6=54,3*(16+2)=54,3*(2+16)=54,3*(2+1)*6=54,3*(6+12)=54
3*6*(1+2)=54,3*6*(2+1)=54,(6+12)*3=54,6*(12-3)=54,6*(1+2)*3=54
6*(2+1)*3=54,6*3*(1+2)=54,6*3*(2+1)=54

3、□□□□=46 ,2个:
51-2-3=46,51-3-2=46

4、□□□□=64 ,无解
如果可以使用乘方,有55个:
(1-2+5)^3=64,(13-5)^2=64,(1+3)^(5-2)=64,(1*3+5)^2=64
1*(3+5)^2=64,(1*(3+5))^2=64,(1+5-2)^3=64,(1*5+3)^2=64
1*(5+3)^2=64,(1*(5+3))^2=64,2^(1^3+5)=64,2*(3-1)^5=64
2^(5+1^3)=64,2^5*(3-1)=64,(3-1)*2^5=64,(3+1*5)^2=64
(3+1)^(5-2)=64,(3-1)^5*2=64,(3*1+5)^2=64,(3/1+5)^2=64
(3^1+5)^2=64,(3+5*1)^2=64,((3+5)*1)^2=64,(3+5/1)^2=64
((3+5)/1)^2=64,(3+5)^(1*2)=64,(3+5)^1^2=64,(3+5^1)^2=64
(3+5)^2*1=64,(3+5)^(2*1)=64,(3+5)^2/1=64,(3+5)^(2/1)=64
(3+5)^2^1=64,(3+5)^(2^1)=64,(5+1-2)^3=64,(5-1^2)^3=64
(5-13)^2=64,(5+1*3)^2=64,(5*1+3)^2=64,(5/1+3)^2=64
(5^1+3)^2=64,(5-2+1)^3=64,(5+3*1)^2=64,((5+3)*1)^2=64
(5+3/1)^2=64,((5+3)/1)^2=64,(5+3)^(1*2)=64,(5+3)^1^2=64
(5+3^1)^2=64,(5+3)^2*1=64,(5+3)^(2*1)=64,(5+3)^2/1=64
(5+3)^(2/1)=64,(5+3)^2^1=64,(5+3)^(2^1)=64

12+23+36-26=45
63+32+21-62=54
15+23+3+5=46
53+5+5+1=64

12+23+36-26=45
63+32+21-62=54
15+23+3+5=46
53+5+5+1=64