湖南祁東鼎興補習學校2006-2007屆高三九月月考英語試題
第Ⅰ卷 （三部分， 共115分）
翱翔高考網
www.gao-kao.com
第一部分：聽力 （共兩節，滿分30分）
第一節 （共5小題；每小題1.5分,滿分7.5分）
請聽下面5段對話。每段對話后有一個小題，從題中所給的A、B、C三個選項中選出最佳選項,并標在試題的相應位置。聽完每段對話后，你都有10秒鐘的時間來回答有關小題和閱讀下一小題。每段對話僅讀一遍。
1. What will the woman probably do tonight?
A. See a film.
B. Go to a
concert.
C. Do some
shopping.
2. Where does the conversation take place?
A.
In an office.
B.
In a hotel.
C.
In a bedroom.
3. What time is it now?
A.
2:30. B.
2:20. C.
2:10.
4. What did the man buy yesterday?
A.
Shirts. B.
Shoes. C.
Trousers
5. What does the man suggest the woman do?
A.
Study at home.
B.
Go to school.
C.
Come back early.
第二節 （共15小題；每小題1.5分,滿分22.5分）
聽下面4段對話。每段對話后有幾個小題，從題中所給的A、B、C三個選項中選出最佳選項，并標在試卷的相應位置。聽每段對話前，你將有時間閱讀各個小題，每小題5秒鐘；聽完后，各小題將給出5秒鐘的作答時間。每段對話讀兩遍。
請聽第6段材料，回答第6第7題。
6. What is the probable relationship
between the two speakers?
A.
Clerk and guest.
B.
Nurse and patient.
C.
Manager and secretary.
7. What can we learn from this
conversation?
A.
The man can’t smoke in the office.
B.
The man’s living-room is full of smoke.
C.
The man can’t get a non-smoking room.
請聽第7段材料，回答第8至第10三個小題。
8. Why is the man sleeping on the job?
A.
He has to work late.
B.
He has to get up early.
C.
He has a busy social life.
9. How did the man probably go to work in
the past?
A.
By bus. B. By train.
C. By motorbike.
10. How long does it take the man to go to
work now?
A.
About two hours.
B.
About one hour.
C.
About 15 minutes.
請聽第8段材料，回答第11至第13三個小題。
11. Where is the woman probably speaking?
A.
In a changing room.
B.
At a school café.
C.
At an information desk.
12. When can the man swim in the afternoon?
A.
From one to three.
B.
From three to five.
C.
From five to seven.
13. What would the man like to play?
A.
Tennis. B.
Football.
C.
Basketball.
請聽第9段材料，回答第14至第17三個小題。
14. Why did the couple leave?
A.
They got their concert tickets.
B.
They felt angry with the woman.
C.
They didn’t want to wait any longer.
15. How soon will the ticket office be
closed?
A.
In one hour.
B.
In two hours.
C.
In three hours.
16. What do we know about the woman?
A.
She quarreled with the man.
B.
She is writing for her friend.
C.
She has moved up only a little.
17. What can we learn about the man?
A.
He is willing to wait.
B.
He is pleased to see the woman.
C.
He is disappointed about his phone order.
第三節(共3小題；每小題1.5分，滿分4.5分)
聽下面一段材料，將第18至第20三小題的信息補充完整，每小題不超過三個單詞。聽材料前，你將有時間閱讀各個小題，每小題5秒鐘；聽完后，各小題將給出15秒鐘的作答時間。本段材料讀兩遍。
BRIGHTON TOURIST INFORMATION OFFICE
Working hours
(Mon.-Fri.): 9:00a.m. to 6:00p.m.
Information on: hotels, restaurants &
18.
_______________ in the city
City tours: from Churchill Square, around 19.
________________
Tours cost: ￡5.00
Tickets from: 20. _________________
第二部分：英語知識運用（共兩節，滿分45分）
第一節：單項填空（共15小題，每小題1分，滿分15分）
21. The captain urged that the mission _____ before dark.
A. must be
finished B. be finished
C. ought to be
finished D. was finished
22. --“ The door was open .”
-- “It______open. I
had locked it myself and the key was in my pocket.”
A. can’t be
B. mustn’t
be
C. can’t have
been
D. mustn’t
have been
23. ---Will you lend me some pepper?
----Sorry,
mine________
A. were used up
B. ran out
C. has been run out
D. has given out
24. As he has been in a terrible state of mind these days, on no
account _______
succeed in the coming English speech competition..
A. has he
B. does he
C. will he
D. he will
25. So far, he must have achieved his goal, _________?
A. mustn’t he B.
didn’t he C. hasn’t he D. doesn’t
he
26. So many
model League members ________ the lead, we had no_______ winning victories one
after another.
A. taking;
trouble B.
take; difficulty C. took ;
troubles D. taking; difficult
27. In 1778, Banks
was elected ________president of _______Royal Society, ________position he held
for 42 years
A. /, /, a B.
/, the, a
C. the, /, a
D. the, the, the
28 .--- How can I wake up so early?
---- Set the alarm at 5:00 am, _______
you will make it.
A. and
B. but
C. or
D. so
29. In 1942,Columbus and his crew arrived _______was
so-called the New World by the westerners.
A . what
B. in what C.
where
D. in which
30 ---Which day do you think is
all right for our next meeting ?
---You make_______. _______day is all the same to me.
A. one ;One
B. it; Any
C. that; Some
D. this; Another
31 .The flu is believed_______ by
viruses that like to reproduce in the cells inside the human nose and throat.
A. causing B. being
caused C.
to have caused D. to be
caused
32 .Perseverance is a kind of
quality----and that is ________it takes to do everything well.
A. why
B. that
C. what
D. which
33 .They would rather spend
time_______ than ________ in the street.
A. read; wander
B. reading; wandering
C. reading; to wandering
D. reading; wander
34 . ?Oh, dear! Mary knocked
over her coffee cup. It went right over keyboard.
?She shouldn’t put drinks so near computer.
A. the; /
B. the; a
C. a; / D.
a; a
35 .Is this TV set________ you wish to have_________?
A. the
one; repaired B. which; it
repaired C. the one; it
repaired D. which; repaired
第二節 完形填空
(共20小題；每小題1.5分，滿分30分)
閱讀下面短文，掌握其大意，然后從短文后所給各題的四個選項(A、B、C和D)中，選出可以填入空白處的最佳選項，并在答題卡上將該項涂黑。
Don and his 11-year-old son, Aaron, love basketball. For Aaron’s birthday
last October, Don decided to drive him to Cincinnati,
more than two hours’ 36 , for the first 37 of the World Series. They had no tickets
but hoped to buy a 38 from scalpers (票販子).
After arriving, they walked in the streets for two hours, carrying a
39 that said, “We need two tickets.” There
were a lot of scalpers but the 40 ticket was $ 175. They were 41 to leave when a man stopped them. He 42 out two tickets and handed them to the
father. “How much do you want?” “No charge.” Said the man, “ 43
the game .”
When asked
later, the man 44 , “I was working for Joe, who hadn’t
45 a World Series in 16 years. But
he was 46 and couldn’t make it this time .So he
told me to give the two tickets
47
. The only 48 he set was to give the tickets to people
I thought would be worthy. A lot of people looked 49 they might just take the tickets and 50 them. Then I saw you. You seemed very 51 and you made me 52 my dad and me when I was a child. I would
have died to go to a World Series game with my father. But I never did.”
How 53 it was to Don and his son! Here is what
Don said, “It’s the most memorable thing that ever happened to us. My boy and I
must have turned to each other 30 times during the game and said, ‘I can’t 54 this.’ We’ll never forget 55 .”
36．A．way B．away C．distance D．beyond
37．A．game B．show C．exhibition D．sport
38．A．ticket B．bill C．pair D．card
39．A．letter B．newspaper C．sign D．book
40．A．best B．cheapest C．worst D．most expensive
41．A．able B．glad C．willing D．about
42．A．gave B．turned C．sent D．pulled
43．A．Enjoy B．Join C．Look D．Play
44．A．explained B．continued C．added D．repeated
45．A．seen B．missed C．been to D．gone to
46．A．kind B．free C．well D．ill
47．A．up B．in C．away D．off
48．A．ticket B．game C．rule D．example
49．A．if B．as if C．though D．even though
50．A．use B．get C．send D．sell
51．A．happy B．anxious C．shy D．excited
52．A．realize B．recognize C．know about D．think of
53．A．proud B．necessary C．fortunate D．difficult
54．A．believe B．see C．think D．do
55．A．the game B．Joe C．that night D．the players
第三部分 閱讀理解（共20小題；每小題2分，滿分40分）
閱讀下列短文，從每題所給的四個選項（A、B、C和D中選出最佳選項）
A
London―Big Ben, the landmark London clock renowned
for its accuracy and chime(鐘聲), stopped ticking for 90 minutes, an engineer said Saturday.
Officials do not know why
the 147-year-old clock on the banks of the River Thames stopped at 10:07 pm on
Friday. It resumed keeping time, but stalled again at 10:20 pm and
remained still for about 90 minutes before starting up again, a spokeswoman for
the House of Commons said.
There has been
speculation(推測) that a
recent period of hot weather may have been to blame. Temperatures in London
reached 90ㄈ on
Saturday, and forecasts called it England’s hottest day in May since 1953.
Big Ben, which is
operated by the Palace of West-minister, survived attacks by German Luftwaffe
bombers during World War Two, continuing to mark the time to within 1.5 seconds
of Greenwich Mean Time.
However, the clock has
experienced occasional problems. In 1962, snow caused the clock to ring in the
New Year 10 minutes late. In 1976, the clock stopped on April 30, 1997, and
once more three weeks later.
Big Ben is actually the
clock’s 13-ton bell, which was named after Sir Benjamin Hall, the British
commissioner of works at the time the clock was built.
The official name for the
Gothic tower holding Big Ben is St. Stephen’s Tower. Standing 315 feet tall, it
was completed in 1858 after an 1834 fire destroyed most of the Palace of Westminister.
56. What does the underlined word “resumed’ (in
paragraph 2) mean?
A.
stopped something from happening B. Went on doing
something
C.
stopped because there is not enough power to keep it going
D.
started doing something again after stopping
57. How many occasional problems has Big Ben
experienced so far?
A.
3. B.
4.
C. 5.
D. 6.
57. Which of the following statements is TRUE
according to the passage?
A. Big
Ben was known only for its accuracy.
B. Big
Ben also stopped because of the hot weather on April 30, 1997.
C. German
Luftwaffe bombers didn’t destroy Big Ben during World War Two.
D. An
1834 fire destroyed most of the Palace
of Westminister including
Big Ben.
58. Which is the best title for the passage?
A. Hot
weather is to blame
B. London’s
Big Ben mysteriously stops ticking
C. The
history of Big Ben
D. Big
Ben has experienced occasional problems
B
What
should you think about when trying to find your career? You are probably better
at some school subjects than others. These may show strengths that you can use
in your work. A boy who is good at mathematics can use that in an engineering
career. A girl who spells well and likes English may be good at office work. So
it is important to know the subjects you well in at school. On the other hand,
you may not have any specially satisfactory standard. Although not all subjects
can be used directly in a job, they may have indirect value. A knowledge of
history is not required for most jobs but if history is one of your good
subjects you will have learned to remember facts and details. This is an
ability that can be useful in many jobs.
Your school may have
taught you skills, such as typing or technical drawing, which you can use in
your work. You may be good at metalwork or cookery and look for a job where you
can improve these skills. If you have had a part-time job on Saturdays or in
the summer, think what you gained from it. If nothing else, you may have
learned how to get to work on time, to follow instructions and to get on with
older workers. You may have learned to give correct change in a shop, for
example. Just as important, you may become interested in a particular industry
or career you see from the inside in a part-time job.
Facing your weak points
is also part of knowing yourself. You may be all thumbs when you handle
tools, perhaps you are a poor speller or can’t add up a column of figures. It
is better to face any weakness than to pretend they do not exist. Your school
record, for instance, may not be too good, yet it is an important part of your
background. You should not be apologetic about it but instead recognize that
you will have a chance of a fresh start at work.
60. What is the passage mainly about?
A. The
significance of working hard at school.
B. The
direct and indirect value of school work.
C. How to
face one’s weakness.
D.
Choosing a career according to one’s strong points.
61. According to the passage, doing a part-time job
as a student _______.
A. can
help afford one’s education
B. is a
good way to practice skills learnt in school
C. can
help you to prepare for future work
D. is a
waste of time that could have been spent on study
62. From the passage we learn that if a student’s
school performance is not good, he _______.
A. should
pay more attention to learning skills and developing abilities
B. will
be regretful about his bad results
C. may
also do well in his future work
D. should
restart his study in school
63. The underlined phrase “be all thumbs” (in
paragraph 3) probably means “_______”.
A. be
clumsy at doing things
B. be skillful in doing things
C. don’t
have interest in certain things D.
be easily bored in doing things
C
Happiness, rather than working hard, is the key to
success, according to research published yesterday. Cheerfu1 peop1e are more
1ikely to try new things and challenge（挑戰） themselves， which strengthens their good
emotion and leads to success in work，good relationships
and strong health，say psychologists（心理學家）.
The findings suggest that
happiness is not a “ feel-good” luxury（奢侈品），but is necessary for people’s well-being. What is more, happiness
can also reach an entire nation，with people in” happy”
nations being more likely to help others.
The link between happiness and success
was studied by a team from the University of California Riverside，led by Professor Sonja Lyubomirsky.
First, they examined
questionnaires that ask peop1e about their 1ives. “ For example, they show that
happy people are likely to earn higher incomes” said Lyubomirsky. Having
established the link，they
wanted to discover the cause.
“Almost always it has been taken
for granted that things that connect closely to happiness are the causes of
happiness，but it could be
just the opposite that those things are likely to be caused by happiness，” said Professor Ed Diener from the University of Illinois，another author on the paper.
“ There was strong evidence that
happiness leads people to be more sociable，more generous and more productive at work，to
make more money，and to have stronger immune（免疫）systems，”said Lyubomirsky.
The research shows that while
success can put a spring in someone’s step，peop1e need happiness in the first place to achieve
success.
According to the study， around 4 out of 5 people in modern
industrialized nations arc happy at any one time.
Success was not just about earning
lots of money. “ We describe success as having the things that culture or
society values，whether it
be friends，close family, money and income，or long life，”said Diener.
However，sorrowful people arc not predetermined
to lead a life of failure.
64. In this passage，which of the following viewpoints does
Professor Lyubomirsky state？
A. People in less happy countries are
more likely to help others.
B. Things connected to happiness are
brought about by happiness.
C. Happiness results in richer and
healthier people.
D. Success means possessing things that
a cu1ture or society thinks highly of.
65. The underlined
phrase “ put a spring in someone’s step” means .
A. put you in good spirits
B. put spring water on your feet
C. have a pleasant walk in spring D. step into a
cheerful spring
66. According to the
passage，which of the
following is true？
A. People arc happy because they earn
more money.
B. People earn more money because they
are happy.
C. Working hard is important for being
successful.
D. We can do whatever we like as 1ong as
we feel happy.
67. We can infer
from the passage that .
A. fee1ing good is a cause and not an
effect of achievement
B. our life would be a failure if we
were not happy
C. happiness is just a personal problem
D
For some
scientists, every day is Groundhog Day. But these researchers aren’t looking
for a shadow. They’re trying to figure out how groundhogs each year put
themselves into a state of nearly being dead. Body temperature quickly goes
down, metabolism(新陳代謝) nearly shuts down, and heart rate slows to something nearly dead.
Something changes these normally warm-blooded animals into cool balls.
But what? The answers could have deep implications(暗示) for humans . Explaining the mystery of hibernation(冬眠) is necessary for the attractive deep-space travel. If future
generations are to stand an interplanetary journey(星際旅行),
researchers must learn how to use animal-like hibernation . More immediately
,scientists believe the secrets of hibernation could drive great advances in stroke(中風)
treatment, injury survival and even weight control.
“Why is it that this animal can eat like persons who
are fat for several months and then shut off for a number of months?” asked Gregory Florant. He studies groundhogs, trying to understand
how their energy regulation can change so greatly.
Contrary to popular ideas, hibernating animals don’t
sleep for the winter and wake up in the spring. Hibernation is not sleep. An
animal will periodically wake and then go back down into a state known as
torpor(蟄伏). The particular mark of hibernation is a
great rise and fall in metabolism ?wild swings (突然轉變) in body temperature and blood flow that a person could not stand..
Since so many different mammals can hibernate,
scientists believe the ability for human to survive similar changes of
metabolism is probably buried in the genetic code, which remains a mystery. “ We are mammals, therefore we share genes with other mammals that
can do this ,” Dr. Florant said. “We haven’t discovered what genes are directly
involved.”
But
researchers have recently gained some important breakthroughs about the
process.
68. According to
the passage, “groundhogs” should be ________ .
A. a kind of bird B.
cold-blooded animals
C. animals able to hibernate
D. a kind of snake
69.According to
the passage ,when groundhogs are hibernating, they ______ .
A. will experience great energy
regulation changes
B. can still fly freely together
C. must change some genes in their bodies
D. will completely shut down their
metabolism
70. Finding out
the secrets of hibernation is important for interplanetary journey
because travelers probably
_______ .
A. can change their body
temperature B. can control
their blood flow
C. can stand temperature
changes in space D. don’t need to carry much
food
71. Which of the
following would follow the last paragraph?
A. The environment for hibernating
animals B. The recent
discovery about hibernation
C. The process of hibernating D. The
recent discovery of space travel
E
Seeing may be believing，but hearing a sound first may help
your sense of sight，according to results of a new study.
Researchers at the University
of California of San Diego report that people were more
accurate at noticing a flash of light when a sound was produced at the same
place immediately before the light flashed.
“We used a loud sound to catch our participants’（受試者）attention” one of the study’s
authors, Dr McDonald， said in an article.
During some experiments， the sound occurred at the same location as the flash of light，while at other times it was
produced on the opposite side of participants’ field of sight. The 33
participants in the study were more accurate at noticing the flash of light
when the sound occurred on the same side，suggesting that sound can help direct visual（視覺的）attention.
According to McDonald， his research team plans to continue studying the relationship
between sight and sound. It will be interesting to see， he said，what happens to the ability to pay
attention when one of the sense does not work as well as it should，as in a person who is blind of has
hearing problems.
McDonald also noted that research into the relationship between sight
and sound could affect the way we 1ook at peop1e with attention disorder.
Traditionally，these people
together are considered to have attention prob1em，but in some people the problem may be caused by hearing or sight
deficits（缺陷）.
“ It could be possible that they cou1d have a deficit in one sense or
another，or in
relating sight and sound together，” McDonald said. Research into this area may lead to better
treatment for people who have a hard time paying attention. It may be a good
idea to take into consideration the relationship between sound and sight when
designing warning signals，such as for an airplane pilot.
72. By saying “ Seeing may be believing” ，the writer is suggesting that .
A. there is a relationship between hearing and seeing
B. the saying has some influence on their research
C. you should read the research findings in this article
D. you should visit the laboratory in person
73. One question the research team wants to
study is how .
A. to deal with people’s hearing problems
B. to improve pilots’ attention during flight
C. people with hearing or sight deficits can improve their attention
D. hearing or sight deficits affect people’s ability to pay attention
74. McDonald believes that the study of the
relationship between sight and sound will .
A. have practical values for medical doctors and pilots
B. help change the well-being of medical doctors
C. prevent people from having hearing or sight problem
D. help to improve people’s eyesight
75. Which is the best title for the passage？
A. A cure for people with hearing problems.
B. The study of people’s attention.
C Sound helps to improves people’s attention.
D. Sound helps to notice the flash of light.
第四部分：寫作（共兩節，滿分35分）
第一節 填空（共10小題上，每小題1分，滿分10分）
短文閱讀，根據所讀內容在文后76～85的空格里填上適當的單詞或短語，并將答案轉寫到答題卡上。注意：每空不超過3個單詞。
Accidents happen , but when they
destroy the delicate balance of nature and cause the whole world to suffer,
they become disasters, and we should do all we can to prevent them from
happening again.
Bhopal chemical
leak, December 1984, Bhopal,
India
An explosion in the Union Carbide chemical plant in Bhopal, India,
released a deadly gas called methyl isocyanate, which is used to make
pesticides. The gas formed a cloud that killed 2,500 people; another 50,100,
000 people became ill. Trees and plants and plants in the area became yellow
and brittle. The explosion was caused by a mechanical failure that was not
noticed in time to stop it.
Exxon Valdez oil spill, March 1989, Alaska,
U.S.
On March 24,1989,11 million gallons of crude oil spilled into prince
William Sound from the tanker Exxon Valldez when its hull hit a reef and tore
open. The oil, which is not yet cleaned up after billions of dollars have been
spent and the millions of birds, fish, and other wildlife have died, was caused
by human error and could have been avoided.
Chernobyl, April
1986,USSR
At 1:23 A. M. on
Saturday, April 26,1986m
the reactor blew at the nuclear power plant in Chernobyl, ripping open the
core, blowing the roof off the building, starting more than 30 fires, and
allowing radioactive material to leak into the air. Some 31 people were killed
and 200 people were treated for radiation poisoning. Still at risk are
135,000people from the 179 villages within20 miles of the plant who were
exposed to the radiation before being evacuated. Glaring violations of safety
rules were at the bottom of this tragic event.
Love Canal, 1953,New
York, U.S.
Love Canal, a small town in upstate New
York near Niagara Falls,
was destroyed by waste from chemical plants. Beginning in 1947, Chemical
companies could legally dump their waste products into the canal. The area
developed a foul smell, trees lost their bark, and leaves fell throughout the
year. A health survey found that the drinking water contained excessive levels
of 82 industrial chemicals, 7 of which were thought to cause cancer. The people
of Love Canal had an unusually high rate of
cancer and birth defects. Eventually, many of the houses had to be abandoned.
Today, the town has be partly cleaned up and some families have moved back to
area.
76
Country
77
Bhopal chemical
leak
78
a 79 failure
80 spill
U. S
81
Nuclear radioactive material leak
82
83
84
U.S
85
from chemical plants
第二節：書面表達（25分）
假定你是王華，你收到一位英籍朋友---彼得的來信，他在信中請你介紹一下中國人歡度春節（the Spring Festival）的情況。請根據下面的提示給他回信。
內容包括：時間、地點、人物、活動。（如：除夕全家人歡聚、包餃子、守夜、燃放煙花爆竹、收看春節聯歡晚會、逛廟會…）
注意：信的開頭、結尾已為你寫好； 詞數:100字左右。參考詞匯：煙花爆竹 fireworks and crackers; 廟會 temple
fair; 春節聯歡晚會 Spring Festival Eve Variety Show
Dear Peter,
Glad to receive your letter. Now I'm telling you everything I know about how
Chinese people usually spend the Spring Festival.
________________________________________________
Of course Chinese people spend the festival variously from place to place. If
needed, I'll tell you more about it.
Best wishes.
Yours ever,
Wang Hua
1-17 CBABC/ ACBCA/ CBACB/ CA 18.museums 19.
the city center/ historic centre
20. the bus driver
21~25 BCDCC 26~30 AB A B B D C B B A
36~40 CACCB 41~45
DDAAB 46~50
DCCBD 51~55
BDCAB
56-59 DCCB 60-63 DCCA 64-65CA 66-75. BACAD BADAC
One possible version:
It is a custom for all members of each family, married and unmarried, to gather
at their parents' house to celebrate the Chinese New Year. Adults in the family
all work together to make a special kind of Chinese foodjiaozi, while small
children play about in the house, or watch the Spring Festival Eve Variety Show
on TV. When the New Year bell sounds, fireworks and crackers begin to explode
here and there, which usually lasts for hours. Then a special meal of jiaozi
starts and the whole family stay up for the night, chatting and playing games.
During the next few days, quite a lot of people visit Chinese temple fairs,
which are quite like carnivals in the West. Some families go to places of
interest for a visit throughout the country.
試題詳情
B 八一三事變
, 乙獲勝的概率是
, 試求：
且f（0）=1.
（2）在區間
上,y=
f（x）的圖象恒在y=2x+m的圖象上方,試確定實數m的范圍.
ACB=AA1=2，D是AB的中點。
平面ABB
為等比數列,且各項為正數,公比不等于1, 另一數列
滿足:
時, 恒有
? 若存在求出相應的N; 若不存在, 請說明理由.
,
其中a為大于零的常數, t為參數, 平面內動點M滿足: 
, 且
,半經為4的圓相交兩點S、T,求證: C落在以S、T為焦點過F的橢圓上.
的形式，并求其圖象對稱中心的橫坐標；
+2x.
f (x)+1在〔-1，1〕上是增函數，求實數
8．直三棱柱ABC-A1B
的一條準線方程是
其左、右頂點分別是A、B；雙曲線
的一條漸近線方程為3x－5y=0.
. 求證：
，當
<0時，
>1，且對任意的實數
∈R，有
=
,
,并寫出適合條件的函數
的一個解析式；
滿足
，
的表達式；
試比較
的大小，并加以證明；
對于不小2的正整數
恒成立，求
在區間（－1，1）上是增函數，求t的取值范圍.
（a，b為常數）且方程f(x)－x+12=0有兩個實根為x1=3, x2=4.（1）求函數f(x)的解析式；
.
.假設兩人射擊是否擊中目標，相互之間沒有影響；每次射擊是否擊中目標，相互之間沒有影響.
（3）假設某人連續2次未擊中目標,則停止射擊.問:乙恰好射擊5次后,被中止射擊的概率是多少?
時，求直線PA與平面PBC所成角的大小；
與
共線。
，證明
為定值。
，
的圖像的一條對稱軸是直線
。
；
的圖像變換而得到。
的首項
前
，且
是等比數列；
，求函數
處的導數
;
與
的大小.
19．已知四棱錐P-ABCD的底面為直角梯形，AB∥DC，
底面ABCD，且PA=AD=DC=
。
與雙曲線C恒有兩個不同的交點A和B，且
(其中O為原點)，求k的取值范圍。
，第二槍命中率為
， 該運動員如進行2輪比賽，求：
22．如圖，P為雙曲線
（a,b為正常數）上任一點，過P點作直線分別與雙曲線的兩漸近線相交于A、B兩點．若 
=-2
，
的值 ；
,求A1、A2 及
的通項公式
. 
的最小值大于3，求實數
的取值范圍. 
，已知不論
為何實數，恒有
，f(2-cos
)≥0，對于正數數列
，其前
，（
），
的值； 
的通項公式；
，使得
對于一切正整數
