I met a particularly interesting topic

 

Hands of the clock will coincide with a day total of how many times?

 

Mine 针完 total polymerization:

If this is the case after 60 seconds finish the grid, the minute hand will go a grid, coincide 22 times.

If the second hand at every 1 frame, the minute hand is moved 1/60 cell cases 3 pointers overlap only twice, the first time is zero o'clock, the 2nd 12 o'clock.

Let t time hour hand and minute hand over the catch k circle clockwise, then 2π × t- (1/6) π × t = k × 2π (k belong to an integer and k ≧ 0) only 22 values ​​k

 

morning:

12:00 ,1:05 ,2:11,3:16 ,4:22, 5:27, 6:33, 7:38, 8:44 ,9:49 ,10:55

in the afternoon:

12:00, 1:05, 2:11, 3:16, 4:22, 5:27, 6:33, 7:38, 8:44, 9:49,10:55

 

 

Source: aliens to Earth

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Origin www.cnblogs.com/lovebing/p/11583242.html