座位号
南京广播电视大学2013年春季开放教育专科入学水平测试
综合（高中起点）试题
2012年12月
题号 分数 一 二 三 四 五 六 七 八 总分 合分人 英语部分（20分）：
得分 评卷人 一、单项选择题（每题1分，共10分）
Vocabuiary and Structure: Choose the best answer to fill in the blanks:
( B )1. Susan’s birthday party was success. We sang and danced until it came to
end at twelve.
A.a;the B.a;an C.不填 D.the;the ( C )2.---How do you like your father?
---He is very kind, hard-working and humorous. ,I can’t speak too highly of him.
A.However B.Anyway C.In a word D.As a result
( B )3.---This is Sparkie Company. You are one of the lucky housewives to receive
our free soap.
---That’s very nice of you.
A.to choose B.chosen C.choosing D.to be choosing
( D )4. Shan was a strict but good teacher, who usually took good care of the
students at school.
A.that B.it C.while D.one
( A )5. little time left, you’d better hurry up as fast as possible.
A.There was B.There being C.It was D. It was
( C )6. My garden is a place which often me of so many friends through the plants
they’ve given me.
A.remembers B.regards C.reminds D.considers ( B )7. late in afternoon, Bob turned off the alarm.
A.To sleep B.Sleeping C.Sleep D.Having slept ( A )8. There is mountain top is aiways covered with snow. A.whose B.of which C.it’s D.that ( D )9.---Do youthink it will rain tonight? --- .
A.I don’t hope so B.I hope it rain C.I don’t hope it will D.I hope not
( C )10. If the manager his to choose between the two, he would say John was
choice.
A.good B.better C.the better D.the best
得分 评卷人 二、阅读理解题（每题2分，共10分）
Reading: Read the passage carefully and then decide which to choose:
Although April did not bring us the rains we all hoped for. and although the Central Valley doesn’t generally experience the sound and lightning that can go with these rains, it’s still important for parents to be able to answer the youthful questions about thunder and lightening.
The reason these two wonders of nature are so difficult for many adults(成年人) to explain to children is that they are not very well understood by adults themselves. For example, did you know that the lightening we see flashing down to the earth form a cloud is actually flashing up to a cloud form the earth? Our eyes trick us into thinking we see a downward motion when it’s actually the other way around. But then, if we believed only what we think and see, we’d still insist that the sun rises in the morning and sets at night. Most lightening flashes take place inside the cloud, and only a relative few can be seen jumping between two clouds or between earth and a cloud. But, with about 2,000 thunderstorms taking place above the earth every minute of the day and night, there’s enough activity to produce about 100 lightning strikes on earth every second.
Parents can use thunder and lightning to help their children learn more about the world around then. When understand that the light of the lightning flashing reaches their eyes almost at the same moment, but the sound of the thunder takes about 5 seconds to travel just one mile, they can begin to time the internal(间隔) between the flash and the crash to learn how close they were to the actual spark(闪光).
( A )1. According to the author, in the area of the Central Valley, .
A. rains usually come without thunder and lightning B. it is usually dry in April
C. children pay no attention to the two natural wonders D. parents are not intersted in thunder and lightening
( B )2. We believe that lightening is a downward motion becase .
A. we were taught by our parents from our childhood B. we are taken in by our sense of vision
C. it is a common natural sight D. it is a truth proved by science ( D )3. What is TRUE about lightning according to the passage?
A. Only a small number of lightning fiashes occur on earth
B. Lightning travels 5 times faster than thuner
C. Lightning flashes usually jumps form one cloud to another
D. There are far more lightning strikes occurring on earth than we imagine ( D )4. The underlined word “activity” is most closely related to the word(s) .
A. “cloud” B. “lightning strikes” C. “lightning flashes” D. “thunderstorms” ( C )5. It can be conclude from the passage that .
A. we should not believe what we see or hear B. things moving downward are more noticeable
C. people open have wrong ideas about ordinary phenomena(现象) D. adults are not as good as children in observing certain natural phenomena
数学部分（40分）：
得分 评卷人
三、选择题（每题3分，共12分）
??1、复数z=cos4－i sin4的模是 ( C ) ?3?(A)、4 (B)、4 (C)、1 (D)、3
2、A、B、C、D、E五人排成一排，A在中间位置的排法有 ( C ) (A)、6 (B)、18 (C)、24 (D)、12
119?3、2－sin28的值等于 ( C ) 2?1(A)、2 (B)、4 (C)、2 (D)、0
4、在三角形ABC中若cosAcosB=sinAsinB则此三角形是 ( A ) (A)、直角三角形 (B)、锐角三角形 (C)、钝角三角形 (D)、任意三角形
得分 评卷人
四、填空题（每题3分，共12分）
1、x2－x－2<0的解为－1 12、函数f(x)=x3+3x是 奇 （填奇、偶）函数。 113、已知sina=3，sinb=2，（ab皆为锐角），则sin(a+b)= 1 。 4、(1+i)20－(1+i)20= 0 。 得分 评卷人 1、已知coat=2，试求sin2a cos2a tan2a的值（5分）。 解：因为coat=2 五、计算解答题（共16分） 52511所以tana=2 sina=2cosa=>sina=5，cosa=5 2tana141?则 tan2a=(1?tana2)=4=3 11 sin2a=2sina·cosa=5 cos2a=1－2sina2= 35 2、计算（1+2x）10展开式中第六项的二项式系数后第六项的系数（5分）。 解：第六项的二项式系数：C（10,5）=2 系数：C（10,5）×25 3、在1－9这9个数字中取三个奇数，两个偶数可以组成多少个没有重复的五位数？ 解：9个数中有5个奇数，4个偶数， C53×C42×A55=2400（个）