Part A Short Conversations (10分)
Directions:In Part A, you will hear ten short conversations between two speakers. At the end of the conversation, a third voice will ask a question about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers in your paper, and decide which one is the best answer to the question you have heard.
1. A. Asking the way. B. Showing the direction.
C. Heading a group. D. Advising the man.
2. A. Go to the party, then study.
B. Take an examination rather than go to the party.
C. Go to the party rather than study.
D. Study rather than go to the party.
3. A. Customer and shop assistant. B. Father and daughter.
C. Manager and secretary. D. Traveler and travel agent.
4. A. It’s larger than the old one. B. It’s near his friends’ flats.
C. It’s close to the school. D. It’s quieter than the old one.
5. A. Her family speaks English.
B. She likes English.
C. She cannot forget her English.
D. She lived in America when she was a child.
6. A. Read an article on political science. B. Read more than one article.
C. Present a different theory to the class. D. Choose a better article to read.
7. A. Lose another five pounds. B. Be glad she gained weight.
C. Gain ten more pounds. D. Buy some new clothes.
8. A. Her handbag. B. Her notebook. C. A novel. D. A lamp.
9. A. Botany B. Mathematics C. Acting D. Astronomy
10. A. Take a taxi. B. Stay at another hotel.
C. Ask the driver for directions. D. Walk to the hotel.
Part B Passages(6分)
Directions: In Part B, you will hear two passages, and you will be asked three questions on each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers in your paper and decide which one would be the best answer to the question you have heard.
Questions 11 through 13 are based on the following passage.
11. A. The substances in the soil and air. B. The sunlight.
C. The carbon dioxide and water. D. Sugar.
12. A. Sugars. B. Fats. C. Starches. D. Proteins.
13. A. The insects will be eaten by the woodpecker.
B. Some larger animals will eat the leaves.
C. The woodpecker will become food for some larger animals.
D. The starches and fats and proteins will be food for the insects and other larger animals.
Questions 14 through 16 are based on the following passage.
14. A. Food. B. Houses. C. Land. D. Gold.
15. A. They were afraid to work.
B. Work was necessary and honorable.
C. Men who worked had nothing to eat.
D. Luxury was as important as work.
16. A. Hard. B. Easy. C. Terrible D. Miserable
Part C. Longer Conversations(4分)
Directions: In Part C, you will hear a longer conversation. The conversation will be read twice. After you hear the conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.
Blanks 17 through 20 are based on the following conversation.
Where did the
man read about the woman? |
In the
_____17_____. |
What does the
woman plan to do right now? |
She is going
to give __18__concerts. |
What does the
woman complain about? |
She is getting
tired of ___19___. |
Why does the
woman work so hard? |
To start a
music school for __20__children. |
Complete the form. Write ONE WORD for each answer.
14、(09山东理)在某学校组织的一次蓝球定点投蓝训练中,规定每人最多投3次;在A处每投进一球得3分,在B处每投进一球得2分;如果前两次得分之和超过3分即停止投篮,否则投三次。某同学在A处的命中率为0.25,在B处的命中率为
.该同学选择先在A处投一球,以后都在B处投,用
表示该同学投篮训练结束后所得的总分,其分布列为
求
的值;
求随机变量
的数学期量
;
试比较该同学选择都在B处投篮得分超过3分与选择上述方式投篮得分超过3分的概率的大小。
13、(09浙江理)在这
个自然数中,任取
个数.
(I)求这个数中恰有
个是偶数的概率;
(II)设为这
个数中两数相邻的组数(例如:若取出的数为
,则有两组相邻的数
和
,此时
的值是
).求随机变量
的分布列及其数学期望
.
12、(09天津理)在10件产品中,有3件一等品,4件二等品,3件三等品。从这10件产品中任取3件,求:
(I) 取出的3件产品中一等品件数X的分布列和数学期望;
(II) 取出的3件产品中一等品件数多于二等品件数的概率。
11、(四川理)为振兴旅游业,四川省2009年面向国内发行总量为2000万张的熊猫优惠卡,向省外人士发行的是熊猫金卡(简称金卡),向省内人士发行的是熊猫银卡(简称银卡).某旅游公司组织了一个有36名游客的旅游团到四川名胜旅游,其中是省外游客,其余是省内游客.在省外游客中有
持金卡,在省内游客中有
持银卡.
(1)在该团中随机采访3名游客,求恰有1人持金卡且持银卡者少于2人的概率;
(2)在该团的省内游客中随机采访3名游客,设其中持银卡人数为随机变量ξ,求ξ的分布列及数学期望Eξ.
10、(09陕西理)某食品企业一个月内被消费者投诉的次数用表示,椐统计,随机变量
的概率分布如下:
![]() |
0 |
1 |
2 |
3 |
p |
0.1 |
0.3 |
2a |
a |
(Ⅰ)求a的值和的数学期望;
(Ⅱ)假设一月份与二月份被消费者投诉的次数互不影响,求该企业在这两个月内共被消费者投诉2次的概率。
9、 (09全国理)某车间甲组有10名工人,其中有4名女工人;乙组有5名工人,其中有3名女工人。先采用分层抽样方法(层内采用不放回简单随即抽样)从甲、乙两组中共抽取3名工人进行技术考核。
(Ⅰ)求从甲、乙两组个抽取的人数;
(Ⅱ)求从甲组抽取的工人中恰有1名女工人的概率;
(Ⅲ)记表示抽取的3名工人中男工人数,求
的分布列及数学期望。
8、(09辽宁理)某人向一目射击4次,每次击中目标的概率为。该目标分为3个不同的部分,第一、二、三部分面积之比为1:3:6。击中目标时,击中任何一部分的概率与其面积成正比。
(Ⅰ)设X表示目标被击中的次数,求X的分布列;
(Ⅱ)若目标被击中2次,A表示事件“第一部分至少被击中1次或第二部分被击中2次”,求P(A)
7、(09江西理)某公司拟资助三位大学生自主创业,现聘请两位专家,独立地对每位大学生的创业方案进行评审,假设评审结果为“支持”或“不支持”的概率都是,若某人获得两个“支持”,则给予10万元的创业资助;若只获得一个“支持”,则给予5万元的资助;若未获得“支持”,则不予资助,令
表示该公司的资助总额。
(1)写出的分布列;(2)求数学期望E
。
6、(湖南理)为拉动经济增长,某市决定新建一批重点工程,分别为基础设施工程、民生工程和产业建设工程三类,这三类工程所含项目的个数分别占总数的.、
、
,现在3名工人独立地从中任选一个项目参与建设。
(I)求他们选择的项目所属类别互不相同的概率;
(II)记为3人中选择的项目属于基础设施工程或产业建设工程的人数,求
的分布列及数学期望。
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