钟面上有12个数字如果在某些数的前面加上符号,可以使12歌数字之和等于0.例如:-1+2+(-3)+4+(-5)+6+7

学习 时间:2026-04-02 08:32:00 阅读:6318
钟面上有12个数字如果在某些数的前面加上符号,可以使12歌数字之和等于0.例如:-1+2+(-3)+4+(-5)+6+7+(-8)+9+(-10)+11+(-12)=0(1)在想出一种添加负号的方法.(2)想一想,这样的负号至少需要添加几个?请举例说明.如果我满意的话+分

最佳回答

虚心的猫咪

爱笑的小海豚

2026-04-02 08:32:00

(1)124组任选
1+2+3+4+5+6+7-8-9-10+11-12 = 0
1+2+3+4+5+6-7+8-9+10-11-12 = 0
1+2+3+4+5-6+7+8+9-10-11-12 = 0
1+2+3+4-5+6-7-8-9-10+11+12 = 0
1+2+3+4-5-6+7-8-9+10-11+12 = 0
1+2+3+4-5-6-7+8+9-10-11+12 = 0
1+2+3+4-5-6-7+8-9+10+11-12 = 0
1+2+3-4+5+6-7-8-9+10-11+12 = 0
1+2+3-4+5-6+7-8+9-10-11+12 = 0
1+2+3-4+5-6+7-8-9+10+11-12 = 0
1+2+3-4+5-6-7+8+9-10+11-12 = 0
1+2+3-4-5+6+7+8-9-10-11+12 = 0
1+2+3-4-5+6+7-8+9-10+11-12 = 0
1+2+3-4-5+6-7+8+9+10-11-12 = 0
1+2+3-4-5-6-7-8-9+10+11+12 = 0
1+2-3+4+5+6-7-8+9-10-11+12 = 0
1+2-3+4+5+6-7-8-9+10+11-12 = 0
1+2-3+4+5-6+7+8-9-10-11+12 = 0
1+2-3+4+5-6+7-8+9-10+11-12 = 0
1+2-3+4+5-6-7+8+9+10-11-12 = 0
1+2-3+4-5+6+7+8-9-10+11-12 = 0
1+2-3+4-5+6+7-8+9+10-11-12 = 0
1+2-3+4-5-6-7-8+9-10+11+12 = 0
1+2-3-4+5+6+7+8-9+10-11-12 = 0
1+2-3-4+5-6-7+8-9-10+11+12 = 0
1+2-3-4+5-6-7-8+9+10-11+12 = 0
1+2-3-4-5+6+7-8-9-10+11+12 = 0
1+2-3-4-5+6-7+8-9+10-11+12 = 0
1+2-3-4-5+6-7-8+9+10+11-12 = 0
1+2-3-4-5-6+7+8+9-10-11+12 = 0
1+2-3-4-5-6+7+8-9+10+11-12 = 0
1-2+3+4+5+6-7+8-9-10-11+12 = 0
1-2+3+4+5+6-7-8+9-10+11-12 = 0
1-2+3+4+5-6+7+8-9-10+11-12 = 0
1-2+3+4+5-6+7-8+9+10-11-12 = 0
1-2+3+4-5+6+7+8-9+10-11-12 = 0
1-2+3+4-5-6-7+8-9-10+11+12 = 0
1-2+3+4-5-6-7-8+9+10-11+12 = 0
1-2+3-4+5+6+7+8+9-10-11-12 = 0
1-2+3-4+5-6+7-8-9-10+11+12 = 0
1-2+3-4+5-6-7+8-9+10-11+12 = 0
1-2+3-4+5-6-7-8+9+10+11-12 = 0
1-2+3-4-5+6+7-8-9+10-11+12 = 0
1-2+3-4-5+6-7+8+9-10-11+12 = 0
1-2+3-4-5+6-7+8-9+10+11-12 = 0
1-2+3-4-5-6+7+8+9-10+11-12 = 0
1-2-3+4+5+6-7-8-9-10+11+12 = 0
1-2-3+4+5-6+7-8-9+10-11+12 = 0
1-2-3+4+5-6-7+8+9-10-11+12 = 0
1-2-3+4+5-6-7+8-9+10+11-12 = 0
1-2-3+4-5+6+7-8+9-10-11+12 = 0
1-2-3+4-5+6+7-8-9+10+11-12 = 0
1-2-3+4-5+6-7+8+9-10+11-12 = 0
1-2-3+4-5-6+7+8+9+10-11-12 = 0
1-2-3-4+5+6+7+8-9-10-11+12 = 0
1-2-3-4+5+6+7-8+9-10+11-12 = 0
1-2-3-4+5+6-7+8+9+10-11-12 = 0
1-2-3-4+5-6-7-8-9+10+11+12 = 0
1-2-3-4-5+6-7-8+9-10+11+12 = 0
1-2-3-4-5-6+7+8-9-10+11+12 = 0
1-2-3-4-5-6+7-8+9+10-11+12 = 0
1-2-3-4-5-6-7+8+9+10+11-12 = 0
-1+2+3+4+5+6+7-8-9-10-11+12 = 0
-1+2+3+4+5+6-7+8-9-10+11-12 = 0
-1+2+3+4+5+6-7-8+9+10-11-12 = 0
-1+2+3+4+5-6+7+8-9+10-11-12 = 0
-1+2+3+4-5+6+7+8+9-10-11-12 = 0
-1+2+3+4-5-6+7-8-9-10+11+12 = 0
-1+2+3+4-5-6-7+8-9+10-11+12 = 0
-1+2+3+4-5-6-7-8+9+10+11-12 = 0
-1+2+3-4+5+6-7-8-9-10+11+12 = 0
-1+2+3-4+5-6+7-8-9+10-11+12 = 0
-1+2+3-4+5-6-7+8+9-10-11+12 = 0
-1+2+3-4+5-6-7+8-9+10+11-12 = 0
-1+2+3-4-5+6+7-8+9-10-11+12 = 0
-1+2+3-4-5+6+7-8-9+10+11-12 = 0
-1+2+3-4-5+6-7+8+9-10+11-12 = 0
-1+2+3-4-5-6+7+8+9+10-11-12 = 0
-1+2-3+4+5+6-7-8-9+10-11+12 = 0
-1+2-3+4+5-6+7-8+9-10-11+12 = 0
-1+2-3+4+5-6+7-8-9+10+11-12 = 0
-1+2-3+4+5-6-7+8+9-10+11-12 = 0
-1+2-3+4-5+6+7+8-9-10-11+12 = 0
-1+2-3+4-5+6+7-8+9-10+11-12 = 0
-1+2-3+4-5+6-7+8+9+10-11-12 = 0
-1+2-3+4-5-6-7-8-9+10+11+12 = 0
-1+2-3-4+5+6+7+8-9-10+11-12 = 0
-1+2-3-4+5+6+7-8+9+10-11-12 = 0
-1+2-3-4+5-6-7-8+9-10+11+12 = 0
-1+2-3-4-5+6-7+8-9-10+11+12 = 0
-1+2-3-4-5+6-7-8+9+10-11+12 = 0
-1+2-3-4-5-6+7+8-9+10-11+12 = 0
-1+2-3-4-5-6+7-8+9+10+11-12 = 0
-1-2+3+4+5+6-7-8+9-10-11+12 = 0
-1-2+3+4+5+6-7-8-9+10+11-12 = 0
-1-2+3+4+5-6+7+8-9-10-11+12 = 0
-1-2+3+4+5-6+7-8+9-10+11-12 = 0
-1-2+3+4+5-6-7+8+9+10-11-12 = 0
-1-2+3+4-5+6+7+8-9-10+11-12 = 0
-1-2+3+4-5+6+7-8+9+10-11-12 = 0
-1-2+3+4-5-6-7-8+9-10+11+12 = 0
-1-2+3-4+5+6+7+8-9+10-11-12 = 0
-1-2+3-4+5-6-7+8-9-10+11+12 = 0
-1-2+3-4+5-6-7-8+9+10-11+12 = 0
-1-2+3-4-5+6+7-8-9-10+11+12 = 0
-1-2+3-4-5+6-7+8-9+10-11+12 = 0
-1-2+3-4-5+6-7-8+9+10+11-12 = 0
-1-2+3-4-5-6+7+8+9-10-11+12 = 0
-1-2+3-4-5-6+7+8-9+10+11-12 = 0
-1-2-3+4+5+6+7+8+9-10-11-12 = 0
-1-2-3+4+5-6+7-8-9-10+11+12 = 0
-1-2-3+4+5-6-7+8-9+10-11+12 = 0
-1-2-3+4+5-6-7-8+9+10+11-12 = 0
-1-2-3+4-5+6+7-8-9+10-11+12 = 0
-1-2-3+4-5+6-7+8+9-10-11+12 = 0
-1-2-3+4-5+6-7+8-9+10+11-12 = 0
-1-2-3+4-5-6+7+8+9-10+11-12 = 0
-1-2-3-4+5+6+7-8+9-10-11+12 = 0
-1-2-3-4+5+6+7-8-9+10+11-12 = 0
-1-2-3-4+5+6-7+8+9-10+11-12 = 0
-1-2-3-4+5-6+7+8+9+10-11-12 = 0
-1-2-3-4-5+6-7-8-9+10+11+12 = 0
-1-2-3-4-5-6+7-8+9-10+11+12 = 0
-1-2-3-4-5-6-7+8+9+10-11+12 = 0
(2)
1到12的数字和 = (1 + 12)*12/2 = 78
要使正号的数、负号的数和为0,那么正号的数绝对值 = 负号数的绝对值
也就是,加负号的数的和要等于 78/2 = 39
要使符号加的最少,必须尽量找大的数加:
39 = 12 + 11 + 10 + 6 至少等于4个数的和,不可能再少了。
因此负号至少需要添加4个。
例如:
1+2+3+4+5-6+7+8+9-10-11-12 = 0
1+2+3+4+5+6-7+8-9+10-11-12 = 0

最新回答共有2条回答

  • 舒适的乌龟
    回复
    2026-04-02 08:32:00

    (1)124组任选1+2+3+4+5+6+7-8-9-10+11-12 = 01+2+3+4+5+6-7+8-9+10-11-12 = 01+2+3+4+5-6+7+8+9-10-11-12 = 01+2+3+4-5+6-7-8-9-10+11+12 = 01+2+3+4-5-6+7-8-9+10-11+12 = 01+2+3+4-5-6-7+8+9-10-11+12 = 01+2+3+4-5-6-7+8-9+10+11-12 = 01+2+3-4+5+6-7-8-9+10-11+12 = 01+2+3-4+5-6+7-8+9-10-11+12 = 01+2+3-4+5-6+7-8-9+10+11-12 = 01+2+3-4+5-6-7+8+9-10+11-12 = 01+2+3-4-5+6+7+8-9-10-11+12 = 01+2+3-4-5+6+7-8+9-10+11-12 = 01+2+3-4-5+6-7+8+9+10-11-12 = 01+2+3-4-5-6-7-8-9+10+11+12 = 01+2-3+4+5+6-7-8+9-10-11+12 = 01+2-3+4+5+6-7-8-9+10+11-12 = 01+2-3+4+5-6+7+8-9-10-11+12 = 01+2-3+4+5-6+7-8+9-10+11-12 = 01+2-3+4+5-6-7+8+9+10-11-12 = 01+2-3+4-5+6+7+8-9-10+11-12 = 01+2-3+4-5+6+7-8+9+10-11-12 = 01+2-3+4-5-6-7-8+9-10+11+12 = 01+2-3-4+5+6+7+8-9+10-11-12 = 01+2-3-4+5-6-7+8-9-10+11+12 = 01+2-3-4+5-6-7-8+9+10-11+12 = 01+2-3-4-5+6+7-8-9-10+11+12 = 01+2-3-4-5+6-7+8-9+10-11+12 = 01+2-3-4-5+6-7-8+9+10+11-12 = 01+2-3-4-5-6+7+8+9-10-11+12 = 01+2-3-4-5-6+7+8-9+10+11-12 = 01-2+3+4+5+6-7+8-9-10-11+12 = 01-2+3+4+5+6-7-8+9-10+11-12 = 01-2+3+4+5-6+7+8-9-10+11-12 = 01-2+3+4+5-6+7-8+9+10-11-12 = 01-2+3+4-5+6+7+8-9+10-11-12 = 01-2+3+4-5-6-7+8-9-10+11+12 = 01-2+3+4-5-6-7-8+9+10-11+12 = 01-2+3-4+5+6+7+8+9-10-11-12 = 01-2+3-4+5-6+7-8-9-10+11+12 = 01-2+3-4+5-6-7+8-9+10-11+12 = 01-2+3-4+5-6-7-8+9+10+11-12 = 01-2+3-4-5+6+7-8-9+10-11+12 = 01-2+3-4-5+6-7+8+9-10-11+12 = 01-2+3-4-5+6-7+8-9+10+11-12 = 01-2+3-4-5-6+7+8+9-10+11-12 = 01-2-3+4+5+6-7-8-9-10+11+12 = 01-2-3+4+5-6+7-8-9+10-11+12 = 01-2-3+4+5-6-7+8+9-10-11+12 = 01-2-3+4+5-6-7+8-9+10+11-12 = 01-2-3+4-5+6+7-8+9-10-11+12 = 01-2-3+4-5+6+7-8-9+10+11-12 = 01-2-3+4-5+6-7+8+9-10+11-12 = 01-2-3+4-5-6+7+8+9+10-11-12 = 01-2-3-4+5+6+7+8-9-10-11+12 = 01-2-3-4+5+6+7-8+9-10+11-12 = 01-2-3-4+5+6-7+8+9+10-11-12 = 01-2-3-4+5-6-7-8-9+10+11+12 = 01-2-3-4-5+6-7-8+9-10+11+12 = 01-2-3-4-5-6+7+8-9-10+11+12 = 01-2-3-4-5-6+7-8+9+10-11+12 = 01-2-3-4-5-6-7+8+9+10+11-12 = 0-1+2+3+4+5+6+7-8-9-10-11+12 = 0-1+2+3+4+5+6-7+8-9-10+11-12 = 0-1+2+3+4+5+6-7-8+9+10-11-12 = 0-1+2+3+4+5-6+7+8-9+10-11-12 = 0-1+2+3+4-5+6+7+8+9-10-11-12 = 0-1+2+3+4-5-6+7-8-9-10+11+12 = 0-1+2+3+4-5-6-7+8-9+10-11+12 = 0-1+2+3+4-5-6-7-8+9+10+11-12 = 0-1+2+3-4+5+6-7-8-9-10+11+12 = 0-1+2+3-4+5-6+7-8-9+10-11+12 = 0-1+2+3-4+5-6-7+8+9-10-11+12 = 0-1+2+3-4+5-6-7+8-9+10+11-12 = 0-1+2+3-4-5+6+7-8+9-10-11+12 = 0-1+2+3-4-5+6+7-8-9+10+11-12 = 0-1+2+3-4-5+6-7+8+9-10+11-12 = 0-1+2+3-4-5-6+7+8+9+10-11-12 = 0-1+2-3+4+5+6-7-8-9+10-11+12 = 0-1+2-3+4+5-6+7-8+9-10-11+12 = 0-1+2-3+4+5-6+7-8-9+10+11-12 = 0-1+2-3+4+5-6-7+8+9-10+11-12 = 0-1+2-3+4-5+6+7+8-9-10-11+12 = 0-1+2-3+4-5+6+7-8+9-10+11-12 = 0-1+2-3+4-5+6-7+8+9+10-11-12 = 0-1+2-3+4-5-6-7-8-9+10+11+12 = 0-1+2-3-4+5+6+7+8-9-10+11-12 = 0-1+2-3-4+5+6+7-8+9+10-11-12 = 0-1+2-3-4+5-6-7-8+9-10+11+12 = 0-1+2-3-4-5+6-7+8-9-10+11+12 = 0-1+2-3-4-5+6-7-8+9+10-11+12 = 0-1+2-3-4-5-6+7+8-9+10-11+12 = 0-1+2-3-4-5-6+7-8+9+10+11-12 = 0-1-2+3+4+5+6-7-8+9-10-11+12 = 0-1-2+3+4+5+6-7-8-9+10+11-12 = 0-1-2+3+4+5-6+7+8-9-10-11+12 = 0-1-2+3+4+5-6+7-8+9-10+11-12 = 0-1-2+3+4+5-6-7+8+9+10-11-12 = 0-1-2+3+4-5+6+7+8-9-10+11-12 = 0-1-2+3+4-5+6+7-8+9+10-11-12 = 0-1-2+3+4-5-6-7-8+9-10+11+12 = 0-1-2+3-4+5+6+7+8-9+10-11-12 = 0-1-2+3-4+5-6-7+8-9-10+11+12 = 0-1-2+3-4+5-6-7-8+9+10-11+12 = 0-1-2+3-4-5+6+7-8-9-10+11+12 = 0-1-2+3-4-5+6-7+8-9+10-11+12 = 0-1-2+3-4-5+6-7-8+9+10+11-12 = 0-1-2+3-4-5-6+7+8+9-10-11+12 = 0-1-2+3-4-5-6+7+8-9+10+11-12 = 0-1-2-3+4+5+6+7+8+9-10-11-12 = 0-1-2-3+4+5-6+7-8-9-10+11+12 = 0-1-2-3+4+5-6-7+8-9+10-11+12 = 0-1-2-3+4+5-6-7-8+9+10+11-12 = 0-1-2-3+4-5+6+7-8-9+10-11+12 = 0-1-2-3+4-5+6-7+8+9-10-11+12 = 0-1-2-3+4-5+6-7+8-9+10+11-12 = 0-1-2-3+4-5-6+7+8+9-10+11-12 = 0-1-2-3-4+5+6+7-8+9-10-11+12 = 0-1-2-3-4+5+6+7-8-9+10+11-12 = 0-1-2-3-4+5+6-7+8+9-10+11-12 = 0-1-2-3-4+5-6+7+8+9+10-11-12 = 0-1-2-3-4-5+6-7-8-9+10+11+12 = 0-1-2-3-4-5-6+7-8+9-10+11+12 = 0-1-2-3-4-5-6-7+8+9+10-11+12 = 0(2)1到12的数字和 = (1 + 12)*12/2 = 78要使正号的数、负号的数和为0,那么正号的数绝对值 = 负号数的绝对值也就是,加负号的数的和要等于 78/2 = 39要使符号加的最少,必须尽量找大的数加:39 = 12 + 11 + 10 + 6 至少等于4个数的和,不可能再少了。因此负号至少需要添加4个。例如:1+2+3+4+5-6+7+8+9-10-11-12 = 01+2+3+4+5+6-7+8-9+10-11-12 = 0

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