太 原 五 中
2008―2009學年度第二學期月考（5月）
高 三 英 語
注意事項:
1. 本試題卷分第Ｉ卷(選擇題) 和第II卷 (非選擇題) 兩部分, 總分150分, 考試時間120分鐘。
2. 答題前, 考生須將自己的姓名、準考證號填寫在本試題卷指定的位置。
3. 選擇題的每小題選出后，用2B鉛筆將答題卡上對應題目的答案標號涂黑，如需改動，用橡皮擦干凈后，再選涂其它答案，不能答在試題卷上。
4. 考試結束，將答題卷和答題卡一并交回。
第Ⅰ卷（選擇題 共115分）
第一部分：聽力理解（不記入總分）
第一節(jié)（共5小題）
聽下面5段對話，選出最佳選項。
1 Where does the conversation take place?
A. At home B. In the street C. In the restaurant
2 What is the relationship between the speakers?
A. Teacher and student B. Father and daughter
C. Husband and wife
3 What does the woman suggest doing?
A. Painting the wall B. Hanging some
pictures
C. Rearranging the furniture
4 What does the woman think of the director?
A. He is popular B. He is
excellent
C. He is inexperienced
5 What are the speakers mainly talking about?
A. Weather B. A heater C. Their work
第二節(jié) （共15小題）
聽下面5段對話或獨白，選出最佳選項。
請聽第6段材料，回答第6至第8題。
6 How does the man think of the woman’s English?
A. Good B. Bad C. Just-so-so
7 What do you know about the woman?
A. She likes to use English in and out of work.
B. She thinks that English is useful in
job-hunting.
C. She got a job which asks for English fluency
recently.
8 What is the conversation mainly about?
A. Advertisements B. Job market C. Spoken English
請聽第7段材料，回答第9至第11題。
9 What is the man asking about?
A. Training sites B. The competition
hall
C. The distance to the gymnasium
10 How long will it take athletes to take a bus
to the downtown for training?
A. 5 minutes B. 20 minutes C. 25 minutes
11 How long can the man’s team practice at the
central stadium?
A. 2 hours B. 8 hours C. 12 hours
請聽第8段材料，回答第12至第14題。
12 What does the woman do?
A. A guide B. A boss C. A driver
13 How does the man feel when hearing he will
take the Li River boat ride tomorrow?
A. Sad B. Urgent C. Angry
14 Which of the following is true?
A. The man has no knowledge about Guilin.
B. The man is not a native of Guilin.
C. The man may regret for his journey.
請聽第9段材料，回答第15至第17題。
15 What happened in 1991 according to the
conversation?
A. The IOC introduced the issue of environmental
protection.
B. Sydney won the bid for the 27th
Olympic Games.
C.Greenpeace established strict standards for
bidding for Olympics.
16 What are the speakers talking about?
A. The history of environmental protection about
the Olympics.
B. The main feature of the Sydney Olympics.
C. Something about the Olympic Games.
17 What can you learn from the conversation?
A. The IOC spoke highly of Sydney’s watchword save fuel.
B. Sydney’s slogan environmental protection was
perfect.
C The process of environmental protection needs
improving.
請聽第10段材料，回答第18至第20題。
18. What is Indiana Jones?
A. A professor B. A director C. A producer
19. What can you learn from the text?
A. Indiana Jones is fond of his life.
B. Indiana Jones cares adventure more than
anything else.
C. Indiana Jones won the heart of Americans.
20. Which word can’t be used to describe Indiana
Jones?
A. Brave B. imperfect C. Kind-hearted
第二部分：英語知識運用(共兩節(jié)。滿分45分)
第一節(jié)：語法和詞匯知識(共15小題；每小題1分，滿分15分)
從A、B、C、D四個選項中，選出可以填入空白處的最佳選項。
21. She is ______success, _______woman as she is.
A. a ; a B. / ;a C. a ; / D. the ; the
22. Except
on official _______such as formal receptions, Americans society has a certain
amount of informality.
A. cases B. situations C. conditions D. occasions
23. I _____ often
go fishing when I lived in the countryside.
A. should B.
would C.
could D. might
24.Information has been put forward
____ more middle school graduates will be admitted into universities.
A. while B. that C. when D. as
25. Beijing, the host city of
the 2008 Olympic Games, saw its 246th blue sky in
2007,_____fulfilling its annual target of 245 by just one day more.
A.
hardly B. narrowly C. formally D. scarcely
26.Seeing the soldiers well _____ for the flood-fight, the
general nodded with satisfaction.
A.
prepare B.
preparing C.
prepared D. having prepared
27. We prefer to measure our
football team’s success _________ the number of fans attending rather than the number of games won.
A. in addition to B.
in terms of C. in
honor of D. in response
to
28. He ______ articles for our wall-newspaper these three
years, and he ______ about forty articles.
A. has been writing;
has written
B. has been writing;
wrote
C. is writing; has
been writing
D. has written; has
written
29. . The news was a terrible blow to her, but
she will _____ the shock soon.
A.
get out B.
get through C.
get off D.
get over
30. ________e-mail is an increasingly popular means of
communication , I prefer writing letters.
A.
As B. While C.
Since D. Because
31. -- The garden has four gates in different directions,
so you may enter it and relax through _______ of them in the daytime.
--
Very convenient.
A.
none B. either
C. all,
D. any
32. -- So big a whale! It weighs 10 tons.
--
Yes. I have never seen _______ one.
A.
a heavy B. the heaviest C. a heavier D. a heaviest
33. Try this new medicine and have a good rest!
Just a few days it takes _______ you will pick up.
A.
and
B. or
C. but
D.
so
34.-- I will give you happily _______ you ask
for only if l have.
--I
like you indeed.
A.
whichever B. whatever C. no matter
what D. no matter which
35. --- It was fine yesterday.
--- _________. And a very day for fishing, isn’t it ?
A. So it was B. It is so C. So it is D. So is it
第二節(jié)：完形填空（共20小題；每小題2分，滿分40分）
閱讀下面短文,從短文后各題所給的四個選項(A、B、C、D)中,選出最佳選項。
While traveling in Ssesse Island, Uganda,
I came across a basket weaver. Weaving basket designs is a complex craft that
____36____ much skill and cleverness. To see an expert at work is so ____37____
that I had watched this particular lady for hours. What was astonishing,
____38____, was that a young African man had also become ____39____ as the
basket weaver performed her craft.
____40____
whether the young man was more interested in the basket weaving or the weaver,
I ____41____ the unexpected couple. On being asked about his ____42____ in
weaving, the wise young man looked at me with complete puzzle and ____43____
that he didn’t know how to weave so he was watching because people can always
____44____ something from one another.
Of
all the lessons I’ve learned during my travels, one of the finest is that
____45____ has nothing to do with wealth and little to do with ____46____
education! Wisdom can be ____47____ in every village, every town, every city,
country, and continent in every ____48____ of the earth. Moreover, the wisest
are often not those who are the most outspoken but, ____49____, those who are
quiet and modest.
The
young man on Ssesse
Island is a perfect
____50____. His stature in the village was such that he was not ____51____ to
study the lowly task of basket weaving; yet, there he was. And to top it off,
this modest young man threw out a pearl of wisdom so ____52____.
As
I watch what is ____53____ in our world today, I find myself wishing that more
people had the wisdom of my young African friend. Much time has ____54____
since I met the young man but I have carried his wisdom in my heart ____55____.
And I believe that it doesn’t matter who we are, we can always learn something
from one another.
36. A. asks B. takes C. costs D.
deserves
37. A. encouraging B.
moving
C. fascinating D. touching
38. A. however B. otherwise C. anyhow D. therefore
39. A. inspired B. excited
C. delighted D.
engaged
40. A. Thinking B. Finding
C. Wondering D. Accepting
41. A. walked B. approached C. reached D.
met
42. A. hobby B.
doubt C. advantage D. interest
43. A. replied B. told
C. spoken D. remarked
44. A. borrow B. learn
C. understand D. think
45. A. thought B. knowledge C. wisdom D. opinion
46. A. private B. special C. usual D.
formal
47. A. found B. invented C. discovered D. created
48. A. side B. space
C. corner D. district
49. A. though B. instead C. however D.
therefore
50. A. example B. figure C. model D. symbol
51. A. meant B.
predicated C. planned D. expected
52. A. certainly B. naturally C. surely D. definitely
53. A. appearing B.
turning C. happening D. showing
54. A. passed B. disappeared C. lost D. missed
55. A. ever after B. before long C. long since D.
ever since
第三部分：閱讀理解（共20小題；每小題3分，共60分）
閱讀下列短文，從每題所給的A、B、C、D四個選項中，選出最佳選項，并在答題卡上將該項涂黑。
A
Steve Nash enjoys team success far
more than personal success, and always wants to share the glory and the joy
with teammates.
He is a self-effacing (不愛出風頭的) Canadian, who
grew up in hockey country. Today Steve Nash has to stand alone even if he
doesn’t enjoy it. The Phoenix
Sun’s point guard has to take ownership of a set of skills that sets him apart
from every bigger, faster basketball player. He is considered the best basketball
player in the game.
31-year old Nash was named the
Most Valuable Player (MVP) of the NBA on May 8, 2005. “It’s unbelievable,” he
said．“It’s been a long road for me and I really enjoy playing as
a team, just trying to be a good teammate. That is the only way for me to highlight
what I do as a basketball player.”
It is the first time a Canadian
has won any individual NBA honor. Of the 50 winners of the MVP award, only six
have been guards: Steve Nash, Magic Johnson, Oscar Robertson, Michael Jordan,
Allen Iverson, and Bob Cousy. “I’m happy for him getting the MVP, which makes
us feel like we all got the MVP,” said Phoenix
forward Shawn Marion.
He may be the only one who truly
believes he can reach this level. “I always try to set goals for myself and
have my own time frame to accomplish them and I never give up on anything,” he
said．It is not as if Nash arrived at this point without
countless hours of hard work.
His interests go far beyond sports
and the NBA．His social conscience is such that he wore a T-shirt
bearing an anti-war slogan at the NBA all-star weekend festivities in Philadelphia in 2002.
“A lot of great moments are when
you win games with your teammates. There’s nothing like sharing something with
someone else,” he said．“There is a pinnacle (頂點) of a player’s career individually. In many
ways, the pinnacle of a player’s career really is defined by team wins.”
56．What does Steve Nash
mean by saying the last two sentences?
A．A player’s success is
decided by his / her individual efforts.
B．A player won’t
succeed without a team’s support.
C．A player will succeed
sooner or later.
D．A team always decides
a player’s success.
57．Steve Nash feels
happiest _______.
A．when he is named the
Most Valuable Player of the NBA
B．when he is 30 years
old
C．when he plays at the
NBA all-star weekend festivities
D．when his team wins a
game
58．Which of the
following statements is TRUE according to the passage?
A．Nash is an American
basketball player.
B．Nash is better at
basketball than Magic Johnson.
C．Nash is the first
Canadian winner of the MVP award.
D．Michael Jordan is the
best of the six guards.
59．Which of the
following is the main message that the passage wants to express?
A．Nash prefers team
honor to personal honor.
B．Hard work will lead to
the honor of the MVP of the NBA.
C．A Canadian can be an
MVP of the NBA.
D．Setting goals is of
importance to success.
B
Enjoy the sumptuous Easter lunch buffet and
children will be given the lovely Easter chocolate eggs.
Time: Mar, 28―Mar 30, 2008 11:00an---3:00pm
Place: lucky corner coffee shop (hotel first
floor)
Price: 150+15% service charge
Half price for children under 12 years old.
Reservations: Scitech hotel 65123388―2114 or2164
Bring your family and friends along to The palace Hotel this Easter and enjoy the traditional
treats of the season. Forget about the calories and enjoy favourite goodies
such as Easter eggs, chocolate bunnies and hot cross buns, which will be sold
outside.
PALM COURT COFFEE HOUSE（every day
from 8:00am to 9:00 pm）
Friday, March 28---lavish fish buffet for
lunch and dinner priced at RMB 180 for adults, half price for children.
Sunday, March 30―Roast carving buffet priced
at RMB 160 for adults, half price for children.
ROMA RISTORANTE ITALLANO
Sunday, March 30―Delicious
March 30th brings a fun-filled
Easter entertainment program to the Crazy Sunday Brunch at the Patio Coffee
Shop from 11:00am―3:00pm!
Children under 10 years old accompanying their
parents will enjoy this special meal for and can even win lots of treat
prices in the Egg Painting Competition!
We guarantee you a fun Easter Sunday
Please register your children for the contest
no later than March 29the as space is limited.
For further information and reservation,
please call 64376688 ext, 2873/2865 Lido
Holiday Inn
RMB 150+15% Surcharge
Happy Easter
March 30, 11:00---14:30
Hilton
Hotel
The Easter Bunny is coming to town!
Join him for a special Easter Brunch at the
Atrium cafe and enjoy traditional Easter favourites.
RMB 195+15% surcharge
Children under 12 years old free of charge.
Surprise gift for the children at the Kid’s Corner.
60．The main purpose of the advertisements is to give
information about
.
A．weekend activities B．a(chǎn) holiday
celebrations
C．the price for the meals in big hotels D．Egg Painting
Competition
61．It can be learned from the advertisements that the children
can enjoy themselves most in
A．Lido Holiday Inn B．Palace Hotel
C．Scitech Hotel D．Hilton Hotel
62．If you want to have an Easter meal on March 28, which hotel
can you go to?
A．Scitech Hotel and Lido Holiday Inn B．The Palace Hotel and
Hilton Hotel
C．Hilton Hotel and Lido Holiday Inn D．Scitech Hotel and The
Palace Hotel
63．If you have Easter Brunch in Hilton Hotel you will pay RMB for
it.
A．195
B．224.25 C．165.75 D．97.5
C
Like most people, I’ve long
understood that I will be judged by my occupation, that my profession is a
standard people use to see how smart or talented I am. Recently, however, I was
disappointed to see that it also decides how I’m treated as a person.
Last year I left a professional
position as a small-town reporter and took a job waiting tables. As someone
paid to serve food to people. I had customers say and do things to me I suspect
they’d never say or do to their most casual acquaintances（泛泛之交. One night a man
talking on his cell phone waved me away, then beckoned (示意) me back with his
finger minute later, complaining he was ready to order and asking where I’d
been.
I had waited tables during summers
in college and was treated like a peon (勤雜工) plenty of people. But at 19 years old, I
believed I deserved inferior（較差的)treatment from professional adults. Besides, people
responded to me differently after I told them I was in college. Customers would
joke that one day I’d be sitting at their table, waiting to be served.
Once I graduated, I took a job at a
community newspaper. From my first day, I heard a respectful tone from everyone
who called me. I assumed this was the way the professional world worked .
I soon found out differently. I sat
several feet away from an advertising sales representative with a similar name.
Our calls would often get mixed up and someone asking for Kristen would be
transferred to Christie. The mistake was immediately evident. Perhaps it was
because money was involved, but people used a tone with Kristen that they never
used with me.
My job title made people treat me
politely. So it was a shock to return to the restaurant industry.
It’s no secret that there’s a lot to
put up with when waiting tables, and fortunately, much of it can be easily
forgotten when you pocket the tips. The service industry, by definition, exists
to satisfy to others’ needs. Still, it seemed that many of my customers didn’t get the difference between server and
servant.
I’m now applying to graduated
school, which means someday I’ll return to a profession where people need to be
nice to me in order to get what they want, I think I’ll take them to dinner
first, and see how they treat someone whose only job is to serve them.
64. The author was
disappointed to find that ____
___.
A. one’s position is used as a
standard to measure one’s intelligence
B. talented people like her should
fail to get a respectable job
C. one’s occupation affects the way
one is treated as a person
D. professionals tend to look down
upon manual waitresses
65. What does the
author intend to say by the example in the second paragraph?
A. Some customers simply show no
respect to those who serve them.
B. People absorbed in a phone
conversation tend to be absent-minded.
C. Waitresses are often treated by
customers as casual acquaintances.
D. Some customers like to complain
because of the waitress’ poor service.
66. How did the
author feel when waiting tables at the age of 19?
A. She felt it unfair to be treated
as a mere servant by professional.
B. She felt badly hurt when her
customers regarded her as a peon.
C. She was embarrassed each time her
customers joked with her.
D. She found it natural for
professionals to treat her as inferior.
67. The underlined sentence “many of
my customers didn’t get the difference between server and servant” in Paragraph
7 means “
”.
A. those who satisfy others’ needs
are sure to be looked down upon.
B. those working in the service
industry shouldn’t be treated as servants.
C. those serving others have to put
up with rough treatment to earn a living.
D. the majority of customers tend to
look on a servant as server nowadays.
D
The North and South poles are remote and freezing places
that receive lots of animal visitors but few human tourists.
But even if you never plan to visit the polar bears in the
north or penguins in the south, now is a perfect time to start thinking about
them. That’s because 2007 marks the beginning of the International Polar Year
(IPY), a two-year-old activity of science projects that aim to show how
important the poles are to the health of our planet. During the IPY, which will
last until March 2009, thousands of researchers from more than 60 countries
will conduct more than 200 projects and expeditions to both the top and bottom
of the world.
In recent years, the polar regions have begun to change
severely as a result of global warming. Temperatures there are rising faster
than anywhere else on Earth. As a result, the ice and snow in these regions are
melting at record-setting rates. One result is that sea levels are rising
around the world, putting animals and people at risk.
Only by studying the poles, say IPY researchers, can we
find ways to protect them and ourselves.
Both the Arctic and the
Antarctic are cold and remote, but the two regions have important differences.
For one thing, the Arctic is an ice-covered
ocean surrounded by land. The Antarctic, on the other hand, is a continent of
ice-covered land surrounded by water.
Most polar studies have focused on the Arctic,
and that is where scientists have observed the most remarkable changes in the
ice. During a typical year, Arctic ice expands in the winter and shrinks in the
summer. But recently, the amount of ice covering the ocean has been steadily
dropping in both seasons.
68．Which of the
following might be the best tile of the passage?
A．Earth’s Poles
Interest Scientists
B．The Animals of
Earth’s Poles
C．Earth’s Poles in
Danger
D．The Discoveries of
Earth’s Poles
69．The goal of the
International Polar Year is __________.
A．to make it clear that
the poles have much to do with a healthy earth
B．to provide practical
theory to further develop this distant area
C．to cal on as many
scientists as possible to do research on the poles
D．to discover more
mysteries unknown to man
70．What is the main
factor that has caused the changes of the poles?
A．The increasing number
of animals.
B．The development of
the poles.
C．The melting of the
poles.
D．The rising
temperature.
71．What unusual
phenomenon worries the scientists?
A．In summer the ice of
the Arctic loses faster.
B．The ice covering the Arctic decreases even in winter.
C．The ice of the Arctic
increases less than in the past.
D．The changes in the Arctic are more serious.
E
Feeling tired? Under too much
stress? Well, you may want to try Yoga(瑜珈). It’s what more and more people have been
turning to to release the trouble of modern life. Practically unheard of in the
West until 50 years ago, Yoga has become one of the most popular health trends
around the world, including China.
If you search for Yoga on line in Chinese, lots of pages are there to see, most
of which are main pages of Yoga clubs. In order to keep fit and lose weight,
many girls spend more than 1000 yuan taking part in Yoga classes every month.
However, are you really ready for
it? There are several things you need to know before you really take it.
First, do not force your body too
much. Yoga has many difficult poses. They are beautiful and worth boasting if
you could finish them. But if you force yourself to do as exactly as an
experienced Yoga teacher does, you may hurt your body, instead of strengthening
it. Do you remember you original purpose for playing Yoga? It is self
-building, not competing.
Second, do some research about the
Yoga class that you are to register. Yoga is new in China and there are not so many
certificated well-trained Yoga teachers. Some not well organized clubs just
find someone learn a little Yoga and certificate them. But be aware, a non-eligible
teacher might wrongly guide you and you could not benefit from the classes much
except that they force you to exercise your body a bit. Considering about the
large amount of money you invest in it, it’s worth and reasonable to make sure
the teachers in the club are qualified before you join.
Third, it
would be better to learn something about nutrition when you practice Yoga. In
the very beginning, Yoga was part of the Vedas, bible of the traditional Indian
philosophy. So it could be regarded as a kind of lifestyle. When you have
decided to care for your body, why not feed it properly? In fact, good clubs
have their own nutritionists.
Anyhow,
make sure you are ready before you act. The fashion may change quickly. But
what benefits is still good for us.
72．The author’s main
purpose in writing the passage is to .
A．tell people how to
relax themselves
B．let people know more
about Yoga
C．give people some
advice on taking part in Yoga classes
D．tell peoples Yoga has
gained its popularity in China
73．The underlined word “eligible”
in the fourth paragraph most probably means .
A．experienced B．qualified C．honored D．hi-technical
74．Which of the
following is NOT the author’s advice?
A．Join one of the
noblest Yoga clubs.
B．Don’t easily follow
the fashion about Yoga.
C．Know some knowledge
about nutrition.
D．Find out a real teacher.
75．From the advice
offered by the author, we can conclude that .
A．Yoga has nothing to
do with culture
B．Yoga is somehow easy
to exercise
C．many people learn
Yoga in order to complete
D．not all the Yoga
clubs have standard teachers
?
第Ⅱ卷（非選擇題，共35分）
第四部分 寫作(共兩節(jié)，35分)
第一節(jié) 短文改錯(共10小題；每小題1分，共10分)
此題要求改正所給短文中的錯誤。對標有題號的每一行作出判斷：如無錯誤，在該行右邊橫線上畫一個（√）；如有錯誤（每行只有一個錯誤），則按下列情況改正：
此行多一個詞：把多余的詞用斜線（\）劃掉，在該行右邊橫線上寫出該詞，并也用斜線劃掉。
此行缺一個詞：在缺詞處如一個漏字符號（∧），在該行右邊橫線上寫出該加的詞。
此行錯一個詞：在錯的詞下劃一橫線，在該行右邊橫線上寫出改正后的詞。
注意：原行沒有錯的不要改。
I was anxiously
expected your letter, and at last
76.________
it has reached to
me. I am very glad to know that
77________
everyone at home is
enjoying good health as usually. 78________
Things here are
same now as they were before. The
79 ________
final examination
will take place in next week. So
80
________
I am now busy
preparing for my lessons. It’s nice
81________
to think that the
summer vacation is coming
82________
near. I can’t say
much I want to see you all again.
83 ________
I am looking
forward to spend summer days with you.
84________
Give my love to
Father, Mother and anyone at home.
85________
第二節(jié) 書面表達（共25分）
每位同學都希望自己具有良好的人際關系，成為班級中受歡迎的人。請你根據(jù)下表所提供的信息，寫一篇題為“Being a Popular Student”的英語短文，參加學校網(wǎng)站英語論壇的討論。
受人喜愛的個性品質
對待集體
熱心班級活動，具有團隊精神，工作負責，……
對待他人
尊重、關心他人，富有同情心，……
對待自己
(請考生自己實際擬定內容，列舉至少兩點) ……
注意：1．對所給要點，逐一陳述，適當發(fā)揮，不要簡單翻譯。2．詞數(shù)100左右。開頭已經(jīng)寫好，不計入總詞數(shù)。
Being a Popular Student
We all hope to be popular
with our classmates and teachers.
__________________________________
______________
_____________________________________________
___
__________________________________
______________
_____________________________
___________________
________________________________________
___
_____________________________________________
___
___________________________________
_____________
_________________________________________
_______
____________________________________________
____
試題詳情
學月考試卷.files/image002.gif)
，則學月考試卷.files/image004.jpg)
UA=
（ ）．學月考試卷.files/image006.gif)
B.｛x | x > 0｝ C.｛x | x≥0｝ D.學月考試卷.files/image008.gif)
≥0學月考試卷.files/image010.gif)
學月考試卷.files/image012.gif)
和直線學月考試卷.files/image014.gif)
在y軸右側的交點按橫坐標從小到大依次記為P1，P2，P3，…，則|P2P4|等于
（ ）．學月考試卷.files/image016.gif)
B．2學月考試卷.files/image018.jpg)
4．右圖為函數(shù)學月考試卷.files/image020.gif)
的圖象，其中m，n為常數(shù)，（ ） 學月考試卷.files/image022.gif)
< 0 , n >1
B．學月考試卷.files/image027.gif)
繞原點按順時針方向旋轉30°所得直線與圓學月考試卷.files/image029.gif)
的位置學月考試卷.files/image031.gif)
與雙曲線學月考試卷.files/image033.gif)
有相同的焦點，則橢圓的離心率為
學月考試卷.files/image035.gif)
B． 學月考試卷.files/image037.gif)
C． 學月考試卷.files/image039.gif)
D．學月考試卷.files/image041.gif)
（ ）學月考試卷.files/image043.gif)
，它的一個焦點是學月考試卷.files/image045.gif)
，則雙曲線的方程是__________；學月考試卷.files/image047.gif)
等于
； 學月考試卷.files/image049.gif)
件首飾所用珠寶總數(shù)為__________________________顆.(結果用學月考試卷.files/image055.gif)
學月考試卷.files/image057.gif)
內為增函數(shù)，則實數(shù)a的取值范圍 ；學月考試卷.files/image059.gif)
AB于D，CD=學月考試卷.files/image061.gif)
為參數(shù)，則點(3，2)到方程學月考試卷.files/image063.gif)
的距離的最大值是_____________。學月考試卷.files/image065.gif)
R學月考試卷.files/image067.gif)
，且4x+3y=1，則學月考試卷.files/image069.gif)
＋學月考試卷.files/image071.gif)
的最小值為______________。學月考試卷.files/image073.gif)
(學月考試卷.files/image075.gif)
，學月考試卷.files/image077.gif)
)為偶函數(shù)，且其圖像上相鄰的一個最高點和最低點之間距離為學月考試卷.files/image079.gif)
.學月考試卷.files/image081.gif)
的解析式；學月考試卷.files/image083.gif)
，求學月考試卷.files/image085.gif)
的值。學月考試卷.files/image087.gif)
是定義在R上的函數(shù)，對于任意的實數(shù)a，b，都有學月考試卷.files/image089.gif)
學月考試卷.files/image091.gif)
。學月考試卷.files/image093.gif)
的值；學月考試卷.files/image095.gif)
求證：學月考試卷.files/image097.gif)
等差數(shù)列．學月考試卷.files/image098.gif)
產(chǎn)品學月考試卷.files/image099.gif)
19.
（本小題滿分14分）學月考試卷.files/image101.gif)
的左焦點為F，上頂點為A，過點A與AF垂直的直線分別交橢圓C與x軸正半軸于點P、Q，且學月考試卷.files/image103.gif)
. 學月考試卷.files/image105.gif)
相切，求橢圓C的方程. 學月考試卷.files/image107.gif)
，學月考試卷.files/image109.gif)
，數(shù)列學月考試卷.files/image111.gif)
滿足學月考試卷.files/image113.gif)
，學月考試卷.files/image115.gif)
， 學月考試卷.files/image117.gif)
．學月考試卷.files/image119.gif)
是等比數(shù)列； 學月考試卷.files/image121.gif)
取最大值，并求出最大值；學月考試卷.files/image123.gif)
對任意學月考試卷.files/image125.gif)
恒成立，求實數(shù)學月考試卷.files/image127.gif)
的取值范圍．學月考試卷.files/image129.gif)
，點A(s,f(s)), B(t,f(t))學月考試卷.files/image131.gif)
,求函數(shù)學月考試卷.files/image133.gif)
的單調遞增區(qū)間； 學月考試卷.files/image135.gif)
滿足：當|x|≤1時，有|學月考試卷.files/image137.gif)
恒成立，求函數(shù)學月考試卷.files/image140.gif)
和學月考試卷.files/image142.gif)
處取得極值，且學月考試卷.files/image144.gif)
,證明：學月考試卷.files/image146.gif)
與學月考試卷.files/image148.gif)
不可能垂直.學月考試卷.files/image150.gif)
｛x | x≥0｝,故選C.學月考試卷.files/image152.gif)
中，當n＝６時，有學月考試卷.files/image154.gif)
所以第２５項是７．選C.學月考試卷.files/image156.gif)
，學月考試卷.files/image158.gif)
又 學月考試卷.files/image160.gif)
所以學月考試卷.files/image162.gif)
學月考試卷.files/image164.gif)
10.
學月考試卷.files/image166.gif)
學月考試卷.files/image168.gif)
12.
學月考試卷.files/image170.gif)
學月考試卷.files/image172.gif)
-1 15. 7+4學月考試卷.files/image174.gif)
學月考試卷.files/image176.gif)
，相鄰的最低點為學月考試卷.files/image178.gif)
，則|x1?x2|=學月考試卷.files/image180.gif)
學月考試卷.files/image182.gif)
，∴學月考試卷.files/image184.gif)
，∴學月考試卷.files/image186.gif)
………………………（3分）
學月考試卷.files/image188.gif)
， ∵學月考試卷.files/image191.gif)
，學月考試卷.files/image193.gif)
.學月考試卷.files/image195.gif)
，∴學月考試卷.files/image197.gif)
，∴學月考試卷.files/image199.gif)
…………… (6分)學月考試卷.files/image201.gif)
，∴學月考試卷.files/image203.gif)
………………………………(8分)學月考試卷.files/image205.gif)
……………………（12分）學月考試卷.files/image207.gif)
………2分學月考試卷.files/image209.gif)
學月考試卷.files/image211.gif)
學月考試卷.files/image213.gif)
………………………………………………9分學月考試卷.files/image215.gif)
學月考試卷.files/image217.gif)
等差數(shù)列 ……………………………………………12分學月考試卷.files/image219.jpg)
學月考試卷.files/image223.gif)
………………………………8分學月考試卷.files/image225.gif)
向右上方平移至l1位置，直線經(jīng)過可行域上的點M，且與原點距離最大，此時學月考試卷.files/image228.gif)
………………………………12分學月考試卷.files/image230.gif)
學月考試卷.files/image232.gif)
學月考試卷.files/image234.gif)
設學月考試卷.files/image236.gif)
，學月考試卷.files/image238.gif)
…2分學月考試卷.files/image240.gif)
…………4分學月考試卷.files/image242.gif)
,故橢圓的離心率e=學月考試卷.files/image244.gif)
………6分學月考試卷.files/image246.gif)
， 學月考試卷.files/image248.gif)
于是F（－學月考試卷.files/image250.gif)
，學月考試卷.files/image252.gif)
，解得a=2，∴c=1，b=學月考試卷.files/image255.gif)
……14分學月考試卷.files/image257.gif)
，學月考試卷.files/image259.gif)
，學月考試卷.files/image261.gif)
． 即學月考試卷.files/image263.gif)
．學月考試卷.files/image265.gif)
，學月考試卷.files/image267.gif)
，所以學月考試卷.files/image269.gif)
．………2分學月考試卷.files/image271.gif)
，學月考試卷.files/image273.gif)
為首項，公比為學月考試卷.files/image275.gif)
的等比數(shù)列．………4分學月考試卷.files/image277.gif)
=學月考試卷.files/image279.gif)
（學月考試卷.files/image281.gif)
）．學月考試卷.files/image283.gif)
．學月考試卷.files/image285.gif)
．……………………………5分學月考試卷.files/image287.gif)
，學月考試卷.files/image289.gif)
；當n<7時，學月考試卷.files/image291.gif)
，學月考試卷.files/image293.gif)
；學月考試卷.files/image295.gif)
，學月考試卷.files/image297.gif)
．學月考試卷.files/image300.gif)
．……8分學月考試卷.files/image303.gif)
（*）學月考試卷.files/image305.gif)
，可知學月考試卷.files/image307.gif)
（學月考試卷.files/image309.gif)
，因此t<0不合題意．…………10分學月考試卷.files/image312.gif)
∴學月考試卷.files/image314.gif)
． （學月考試卷.files/image316.gif)
（學月考試卷.files/image318.gif)
=學月考試卷.files/image320.gif)
,學月考試卷.files/image322.gif)
．學月考試卷.files/image324.gif)
的最大值為學月考試卷.files/image326.gif)
．所以實數(shù)學月考試卷.files/image328.gif)
的取值范圍是學月考試卷.files/image330.gif)
．………13分學月考試卷.files/image332.gif)
(x)=3x2-4x+1,學月考試卷.files/image335.gif)
,……………………………2分學月考試卷.files/image338.gif)
≤學月考試卷.files/image341.gif)
………6學月考試卷.files/image343.gif)
≤ab≤學月考試卷.files/image345.gif)
=學月考試卷.files/image347.gif)
= st+f(s)f(t)=0, ……………10分