国家拟人化漫画:脑筋题:真的难题,求助高手.

来源:百度文库 编辑:高校问答 时间:2024/04/27 22:34:58
□□()□□()□□=□□
空格内填入1至8八个不同的数字,()里填入适当的运算符号,使之成为等式.有完全解吗?

共有7种形式的算式:
1、+-解答数量:768
12+78-34=56,12+78-36=54,12+78-54=36,12+78-56=34
12+87-34=65,12+87-35=64,12+87-43=56,12+87-46=53
......
87+12-53=46,87+12-56=43,87+12-64=35,87+12-65=34
87+21-43=65,87+21-45=63,87+21-63=45,87+21-65=43

2、+/解答数量:1
46+78/13=52

3、-+解答数量:768
12-34+78=56,12-34+87=65,12-35+87=64,12-36+78=54
12-43+87=56,12-46+87=53,12-53+87=46,12-54+78=36
......
87-45+21=63,87-46+12=53,87-53+12=46,87-56+12=43
87-63+21=45,87-64+12=35,87-65+12=34,87-65+21=43

4、-/解答数量:1
52-78/13=46

5、*/解答数量:24
16*57/24=38,16*57/38=24,17*56/28=34,17*56/34=28
18*54/27=36,18*54/36=27,24*38/16=57,24*38/57=16
27*36/18=54,27*36/54=18,28*34/17=56,28*34/56=17
34*28/17=56,34*28/56=17,36*27/18=54,36*27/54=18
38*24/16=57,38*24/57=16,54*18/27=36,54*18/36=27
56*17/28=34,56*17/34=28,57*16/24=38,57*16/38=24

6、/+解答数量:1
78/13+46=52

7、/*解答数量:24
16/24*57=38,16/38*57=24,17/28*56=34,17/34*56=28
18/27*54=36,18/36*54=27,24/16*38=57,24/57*38=16
27/18*36=54,27/54*36=18,28/17*34=56,28/56*34=17
34/17*28=56,34/56*28=17,36/18*27=54,36/54*27=18
38/16*24=57,38/57*24=16,54/27*18=36,54/36*18=27
56/28*17=34,56/34*17=28,57/24*16=38,57/38*16=24

34-12+56=78

34-12+56=78等

34-12+56=78

78-56+12=34