问题 问答题 简答题

在一天(包括白天和黑夜)当中,钟表的三根针能够重合吗?什么时候重合?

答案

参考答案:

设三针完全重合的时间是a+b小时,此时的时针,分针,秒针的角度(与12点方向的顺时针夹角)相等。先考虑时针与分针重合的情况:时针1小时走过30度,分针1分钟走过6度,可列出方程(a+B.30=b*60*6,330b=30ab=a/11(a=0,1,2,3,….10)当b=1,相当于12点,这时是时针开始走第2圈了。将b小时换成分钟,是60a/11分,

a=0时,0时0分0秒,重合;

a=1时,60/11分=5分300/11秒,不重合;

a=2时,120/11分=10分600/11秒,不重合;

a=3时,80/11分=16分240/11秒,不重合;

a=4时,240/11分=21分540/11秒,不重合;

a=5时,300/11分=27分180/11秒,不重合;

a=6时,360/11分=32分480/11秒,不重合;

a=7时,420/11分=38分120/11秒,不重合;

a=8时,480/11分=43分420/11秒,不重合;

a=9时,540/11分=49分60/11秒,不重合;

a=10时,600/11分=54分360/11秒,不重合。

所以一天24小时(从0时0分0秒到23时59分59秒)中完全重合2次,分别是0时0分0秒和12时0分0秒。

单项选择题
填空题

Part 4


Questions 26-45


·Read the following text and decide which answer bestfits each space.
·For questions 26-45, mark one letter A, B, C or D on the Answer Sheet.

How to Tell Which Side You Favor


Brain researcher Ned Herrmann tested more than 7,000 people to find out which side of the brain they favored. He found a p relationship between hemisphere (26) and the way subjects made a (27) : left-brain-oriented subjects were more often lawyers, writers, bookkeepers, doctors, tax experts, etc. —jobs (28) with logical, language-related information. Those who favored the right hemisphere (29) out to be poets, politicians, musicians, architects, entrepreneurs, dancers and (30) —top executives. Herrmann’s studies showed that the most successful people in any (31) are those who use both the left and right brains.
One test for hemisphere dominance is to (32) how you turn your head and eyes when (33) questions asked by someone in front of you. Research suggests that if you generally turn to the left, you have a right-brain (34) ; if you turn to the right, (35) are you prefer work that (36) use of logic or language.
Another test for dominance involves directions for (37) a product. A left-hemisphere- oriented person usually follows instructions in a step-by-step (38) —from written sentence to written sentence. Someone with p right-side input will probably (39) the written directions and assemble the pieces by (40) the diagram or picture.
If you think you’re right-brained, (41) this teaser. Read the sentence below carefully and count the number of f’s:
FINISHED FILES ARE THE RESULT OF YEARS OF SCIENTIFIC
STUDY COMBINED WITH THE EXPERIENCE OF MANY YEARS.
Did you find all six fs If not, don’t be surprised. Only 15 percent of those who take this test (42) .If you counted less than six—most count three—you probably (43) the f in each "of". Since "of" is pronounced "ov", the verbal left hemisphere took the verbal (44) and overrode the right, "seeing" hemisphere; (45) forcing the wrong conclusion.

A.cotinted

B.missed

C.avoided

D.failed