The hour and minute hands of the clock coincide several times a day, and at what point in time and h

11 2 = 22 times.

1 o'clock, 1 o'clock, 1 p.m. 30 (another 5 11 minutes, 2 o'clock, 2 o'clock, 14 o'clock 60 (another 10 11 minutes.

3 o'clock, 15 o'clock 90 ) and 4 11 minutes.

4 o'clock, 16 o'clock 120 (again 9 11 minutes.)

5 o'clock, 17 o'clock 150 (again 3 11 minutes.)

6 o'clock, 18 o'clock 180 (again 8 11 minutes.)

7 o'clock, 7 p.m. 210 (again 2 11 minutes.)

8 o'clock, 20 o'clock 240 (again 7 11 minutes.)

9 o'clock, 21 o'clock 270 (again 1 11 minutes.

10 o'clock, 22 o'clock 300 (again 6 11 minutes.)

12 o'clock and 24 o'clock.

There is a chance to coincide once every hour, and at 24 o'clock a day, there are 24 coincidences.

There are 24 overlaps, which are 1:50, 2:10, 3:15, 4:20, 5:25, 6:30, 7:35, 8:40, 9:45, 10:50, 11:55, and 12:00, and the above times are repeated twice.

The needle-shaped parts on the surface of the timer, such as the timer, indicate the hour, and the needle-shaped part on the surface of the timer, such as a clock, is divided into a long hand and a short hand, and the short hand indicates the "hour", which is called the "hour hand".

The hands on the clock that move in minutes are called minute hands. 1 hour = 60 minutes = 3600 seconds.

The hour and minute hands on the clock coincide 22 times per hour. The hour hand rotates every minute, the minute hand rotates 6° per minute, and the time interval between the spring code minute hand and the hour hand overlap twice is 360 (minutes; The number of coincidences between the minute hand and the hour hand within 24 hours is 24*60 720 11 22.

The hour hand travels 1 12 times per hour, the minute hand goes 1 time per hour, and the speed difference between the two needles is 1-1 12 = 11 12 (circles per hour) The time from the two needles to the next overlap is 1 11 12 = 12 11 (hours).

Therefore, the number of times the hour and minute hands of the clock can coincide in a day and night is 24 12 11 = 22 times.

The hour and minute hands on the clock coincide 22 times per hour. The hour hand rotates every minute, the minute hand rotates 6° per minute, and the time interval between the minute hand and the hour hand overlap twice is 360 (minutes; The number of coincidences between the minute hand and the hour hand within 24 hours is 24*60 720 11 22.

The hour hand goes 1 12 times per small cavity, the minute hand goes 1 time per hour, and the speed difference between the two needles is 1-1 12 = 11 12 (circles per hour), and the time from the two needles to the next overlap is 1 11 12 = 12 11 (hours).

Therefore, the number of times the hour and minute hands of Wu Qianshen's clock can coincide in a day and night is 24 12 11 = 22 times.

22 times. Since the angle of the center of the circle rotated by the hour hand for 1 minute is degrees, the angle of the center of the circle of the minute hand rotated for 1 minute is 6 degrees. When the two needles coincide for the first time and then the second time, the angle of the circle center rotated by the minute hand more than the hour hand is 360 degrees.

Therefore, the time required for the two needles to coincide again is: (minutes) There are 24 60 = 1,440 (minutes) in one day and night, so the two needles coincide in one day and night: (times), which is described as follows:

1:05 2:10 3:

17 minutes 4:22 minutes 5:28 minutes 6:

33 minutes 7:38 minutes 8:43 minutes 9:

48 minutes 10:55 minutes Because the 11 o'clock coincidence, it only coincided 11 times in 12 hours! 24 hours a day, but from the afternoon to the zero morning 12 hours repeated, so the afternoon is the same as the morning 12 hours!

So, 11 times 2 = 22 (times).

Let the minute hand coincide with the hour hand after t minutes, then the radian of the minute hand is t 60*2, and then the number of coincidences is n, then the noisy arc of the hour hand is t 60*1 12*2 + (n-1)*2, so there is t 60*2 = t 60*1 12*2 +n*2 that is, n=t*11 720+1,n n. After finding the analytic formula of the function, you can easily answer the question, such as when t=300 (five hours), n=5 is calculated from the first coincidence of the opening at 0 o'clock, and the hour and minute hands coincide 5 times after five hours; When t=1440 (a whole day), n=23 means that the hour and minute hands coincide 23 times in a day; When n=9, t=, i.e., the ninth coincidence time is about 8:44.

Based on strict time calculation (i.e., 00:00-23:59 every day), the hour hand turns 2 times a day, the minute hand turns 24 times a day, and the instant hand coincides with the minute hand 22 times every 24 hours, that is, the minute hand and the hour hand 12 11 hours overlap into one banquet, which is about equal to 1 hour, 5 minutes and 5 seconds.

A total of 22 times a day, not 24 times, because 24 hours, the hour hand goes 2 times, so 24-2 = 22 times, let the overlapping hours be n, then the time of overlap is n hours n * 60 11 minutes.

The hour hand travels 1 12 divisions per minute, the minute hand travels 1 divisions per minute, and the second hand travels 60 divisions per minute. Their velocity ratio is 1:12:720

At 12:00 p.m., they had 3 stitches together. From this point on, the next time it coincides, in the period from 12 o'clock to this time, the distance they have traveled should be both a multiple of 1, a multiple of 12, and a multiple of 720.

i.e. (1,12,720) = 720

That is, 720 small blocks are 720 minutes.

720 60 = 12 hours.

So the next time it coincides, it's 12 a.m. So there are only 2 times a day, 24 hours a day, 12 o'clock and 0 o'clock.

Twelve times, one repetition per hour.