在一天之内,时针分针秒针有几次重合????

2025-04-07 12:23:54
推荐回答(1个)
回答1:

以下只涉及三针按格转动的情况,那些三针匀速转动的表不涉及
分针在每个整分时转一格;
时针在12,24,36,48,60这些整分时转一格.即0到11分时在整小时处,12至23分时在下一小格......48至59分时在差一格到下一整小时处.(按格转动的老表应该是这么转的吧)
时针每12小时转一圈;
分针每一小时转一圈,所以每一小时都和时针重合一次;
秒针每一分钟转一圈,所以每一分钟都和时针分针各重合一次.
所以三针重合时,在时针和分针重合的那一分钟里,秒针再转到那一格的那一秒.
按照时针转动规则,所以应该是这些时刻:(重合嘛,所以分和秒是同一个数)
0:00:00
1:05:05
2:10:10
3:16:16(3*5=15,15在12~23之间,时针又转了一格,所以分针是3*5+1=16)
4:21:21
5:27:27(5*5+2=27)
6:32:32
7:38:38
(7:24时,时针转两格指向37分,所以分针还要越过36分,时针还要再转动一格)
(所以是7*5+2+1=38)
8:43:43
9:49:49
(9:36时,时针转三格指向48分;
9:47:59时时针指向48分,分针指向47分;
而下一时刻时针又要动,时针和分针碰不到.
9:48:00时时针指向49分,分针指向48分)
10:54:54
11:59:59
(11点这小时好玩.11:59:59时三针在一起,
下一时刻,三针一起动!到12:00:00,三针同指第60格
连续两个时刻在一起)
12:00:00
下半天同上.
所以算24:00:00的话有25次,不算有24次.

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