求一道数学的趣味题,再带上答案。谢谢

2025-01-22 17:01:21
推荐回答(3个)
回答1:

命题:乌龟和兔子赛跑。兔子让乌龟先跑一段距离,比如10米吧,然后兔子再追。我们知道事实上肯定会追上的,但是按照以下逻辑则兔子永远追不上乌龟:兔子刚开始跑的时候是落后乌龟的,比如10米吧,那么兔子首先要先跑完落后这段距离(10米)。但是当兔子跑这段落后的距离的同时乌龟也再向前跑啊,又跑出一段距离,比如1米,那么兔子还是落后乌龟一段距离(1米),它还要追这段落后的距离,而同时乌龟还向前跑,如此反复则在兔子跑完落后的距离时,同时乌龟总是又跑一段距离让兔子追,所以兔子总是追不上乌龟。
答案:这是一个有名的悖论,运用极限和无穷小能够解释,

回答2:

2+3在什么情况下不等于2?答案是:2+3在做错的情况下不等于2。

回答3:

我空间里先前分享的,你看看吧

1.过桥

今有a b c d 四人在晚上都要从桥的左边到右边。此桥一次最多只能走两人,而且只有一支手电筒,过桥是一定要用手电筒。四人过桥最快所需时间如下为:a 2 分;b 3 分;c 8 分;d 10分。走的快的人要等走的慢的人,请问如何的走法才能在 21 分 让所有的人都过桥?

2.巧插数字

125 × 4 × 3 = 2000, 这个式子显然不等,可是如果算式中巧妙地插入两个数字“7”,这个等式便可以成立,你知道这两个7应该插在哪吗?

3.温馨四季

春夏 × 秋冬 = 春夏秋冬

春冬 × 秋夏 = 春夏秋冬

式中 春、夏、秋、冬 各代表四个不同的数字,你能指出它们各代表什么数字吗?

4.破车下山

一个破车要走两英哩的路,上山及下山各一英哩,上山时平均速度每小时15英哩问当它下山走第二个英哩的路时要多快才能达到平均速度为每小时30英哩?是45英哩吗?你可要考虑清楚了呦!

5.共卖多少鸡蛋

王老太上集市上去卖鸡蛋,第一个人买走蓝子里鸡蛋的一半又一个,第二个人买走剩下鸡蛋的一半又一个,这时蓝子里还剩一个鸡蛋,请问王老太共卖出多少个鸡蛋?

6.有多少人参加考试

试卷上有6道选择题,每题有3个选项,结果阅卷老师发现,在所有卷子中任选3张答卷,都有一道题的选择互不相同,请问最多有多少人参加了这次考试?

答案

1 先是a和b一起过桥,然后将b留在对岸,a独自返回。a返回后将手电 筒交给c和d,让c和d一起过桥,c和d到达对岸后,将手电筒交给b,让b将手电筒带回,最后a和b再次一起过桥。则所需时间为:3+2+10+3+3=21分钟。

2 插入数字后的式子为:1725×4×3=20700

3 春=2;夏=1;秋=8;冬=7

4 无论如何破车的平均速度也不可能达到30英里/小时。因为当平均速 度为30英里/小时时,破车上、下山的总时间应为1/15小时。而破车上山就用了1/15小时。所以说破车的平均速度是达不到30英里/小时的。

5 王老太共卖了10个鸡蛋。

6 最多有13人参加

趣味数学题6则中,我发现有1个错误:

3.温馨四季

春夏 × 秋冬 = 春夏秋冬

春冬 × 秋夏 = 春夏秋冬

式中 春、夏、秋、冬 各代表四个不同的数字,你能指出它们各代表什么数字吗?

答案是:春=2;夏=1;秋=8;冬=7

但我算出 题中 春夏×秋冬=1827不等于 2187
第2个是对的: 27×81=2187
希望您能改回来!~

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