江苏省扬州中学2005―2006学年度高三第一次模拟考试
英
语 试 卷
06.4.
第一卷
第一部分：听力(满分30分)
第一节（共5小题；每小题1.5分，满分7.5分）
听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C 三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后， 你将有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。
1. Why must the woman’s husband stay
indoors?
A. He is ill. B.
He wants to have a rest.
C. He is out of work.
2. Does the woman like traveling by air?
A. Yes, she does. B. No, she doesn’t. C. We don’t
know.
3. What does the man want to do?
A. He wants to know the price of the tickets.
B. He wants to buy a ticket.
C. He wants to know when the Flight CJ1563 arrives.
4. Where is Miss Brown from?
A. Australia. B. New Zealand.
C. Philippines.
5. What’s wrong with the woman?
A. She didn’t do well in her oral exam.
B. She didn’t do well in her written exam.
C. There is something wrong with her throat.
第二节(共15小题；每小题1.5分，满分22.5分)
听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。
听第6段材料，回答第6至8题。
6. What kind of restaurant are the couple
in?
A. A seafood restaurant. B. A very noisy
restaurant.
C. An Italian restaurant.
7. How does the owner look?
A. Old. B.
Beautiful.
C. Young.
8. What kind of wine do they order?
A. White wine. B. Red
wine.
C. Beer.
听第7段材料，回答第9至11题。
9. Why did John and Mary cross off the flat
on 68th Street?
A. It was on a crossing street. B. It had no parking
place. C. They did not
like it.
10. What is wrong with the flat on the 72nd Street?
A. It is too small. B. It does not have an
air conditioner.
C. It gets hot in the late afternoon.
11. Which flat do John and Mary finally
choose?
A. None of the three. B. The 80th Street
one. C. The 72nd Street one.
听第8段材料，回答第12至14题。
12. What did Tom break while doing his
work?
A. A lot of jars of jam and a few apple juice.
B. A few jars of jam and a lot of bottles of tomato juice.
C. Some bottles of tomato juice.
13. What did he do on Wednesday?
A. Lifted heavy boxes.
B. Put hundreds of bags on delivers.
C. Put up hundreds of tins and packets on shelves.
14. On what day was he two hours late?
A. On Monday.
B. On Wednesday. C.
On Thursday.
听第9段材料，回答第15至17题。
15. How will Kate travel to her
destination?
A. By sea. B. By
air.
C. By land.
16. Where did Laura and Kate meet?
A. In Vermont. B.
In Manhattan.
C. In California.
17. What did Laura and Kate have in common?
A. They are both from New York. B.
They both like music.
C. They are of the same age.
听第10段材料，回答第18至20题。
18. Where was Chopin born?
A. In Poland. B. In France. C.
In Italy.
19. What was Chopin interested in when he
was young?
A. Painting. B.
Music.
C. Studying.
20. What did he do when he was 21 years
old?
A. He decided to go to Paris.
B. He planned to perform in public.
C. He wished to move to Poland.
第二部分：英语知识运用（共两节，满分45分）
第一节：单项填空（共15小题；每小题1分，满分15分）
从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
21. I had
only ____ slight temperature, but my head-teacher regarded the illness enough
for _____ hospital treatment.
A. the; a
B. a; the
C. / ; a
D. a ; /
22. ------- ______ of Yangzhou has Mr. Smith covered since he came
here last month?
------- About half of it, I think.
A. How much
B. How far C. How
wide
D. How large
23. -------Shall I give you a ride as you
live so far away?
-------Thank you. ___________
.
A. It couldn’t be better B.
Of course you can
C. If you like
D. It’s up to you
24. In my opinion, all Mr. White
_______ good to his students in his class at present. He is very strict in
their study.
A. does does does B. does did
do C. does
does do . D. did do does
25. According to the conditions of my
scholarship after finishing my degree,_________.
A. my education will be employed by the university B. the university will
employ me
C. employment will be given by the university D. I’ll be employed by
the university
26. I hesitated for a long time _______
whether I should tell Mother the news at once or not
A. to consider B.
considered C.
considering
D. consider
27. -------Got your driving license?
-------No.
I_______ too busy to have enough practice, so I didn’t take the driving test last
week. I’m going to next week.
A. was
B. am C.
have been
D. had been
28. That Mindy became a poet may have been
due to his father’ s __________.
A. advantage
B. guard
C. genius
D. influence
29. Don’t get your schedule ________; stay
with us in this class.
A. to change
B. changing
C. changed
D. change
30. -------Need I lock both the front door
and the back door?
-------Certainly. You can never be ________.
A. very careful B. too
careful C.
enough careful
D. more careful
31.I wonder what will become of my daughter. ______
endless homework, she also bears other leading loads such as revision and
recitation.
A. As well as
B. With
C. Except
D. Rather than
32.Collin’s struggle to make a place for herself in
ballet is the kind of life story ______ a fascinating novel might be written.
A. of which
B. by whom
C. about which
D. for whom
33. _______ Mr. Wang appears
extremely happy in public, he is in fact leading a very terrible life.
A. While
B. Before
C. As
D. Since
34.-------- What do you think of Andrew?
-------There are some things that are not easy to _________, and his
coldness is one.
A. put aside
B. put up with
C. put down
D. put off
35. On a rainy day I was driving north through Vermont ________ I noticed a young man holding up a
sign______ “Boston”.
A. where; reading B. when; reading C .where; to
read D. when
;to read
第二节：完形填空(共20小题；每小题1.5分，满分30分)
阅读下面短文，掌握其大意，然后从36－55各题所给的四个选项(A、B、C和D)中，选出最佳选项，并在答题卡上将该项涂黑。
I came to study
in the United States
a year ago. One day I was injured in a car accident and soon got to know the
real American society 36 after the accident I had to see a doctor―and go to 37 .
After the
accident, my roommate called a 38 for me. I was very grateful and
determined to 39 him one day. But the next day, he asked
me to pay him $ 200 for what he had done. I was 40 . He had good reason to 41 me, he said. And if I wanted to collect
money from the person who was responsible for my 42 , I’d have to have a good lawyer.
And only a good doctor can help me get a good lawyer. 43 he had helped me find a good doctor, it
was only 44 that I should pay him.
But every time
I went to see the doctor, I had to 45 about 50 minutes. He would see two or
three patients at the same time, and often stop 46 one so as to see another. Yet he charged
me $115 each time. The final examination report consisted of ten 47 , and it cost me $215.
My lawyer was
all 48 the first time we met. But after that he
avoided seeing me 49 . He
knew very well the other party was responsible for the accident, yet he hardly
did anything. Finally I decided to 50 him. And he made me pay him $770.
Now I had to
act as my own lawyer. Due to my 51 , I told the insurance(保险) company the date I was leaving
America. Knowing that, they played for 52 , … and I left without getting a
cent.
My experiences
taught me two things about America:
firstly, in a country like America
53 is everything. It is more important than 54 , honor or professional morality(职业道德). Secondly, foreigners are
still being 55 treated. So when we talk about America, we
should see both its good and bad sides.
36.A. because B.
so C.
though D.
but
37.A. hospital B.
court C.
work D.
school
38.A. lawyer B.
doctor C.
taxi D.
policeman
39.A. pay B.
entertain C.
repay D.
thank
40.A. content B.
pleased C.
willing D.
astonished
41.A. help B.
reward C.
charge D.
support
42.A. injury B.
treatment C.
disability D.
absence
43.A. Only if B.
Now that C.
Even if D.
As long as
44.A. fair B.
surprising C.
unlikely D.
amusing
45.A. suffer B. stand C.
watch D.
wait
46.A. charging B.
asking C.
curing D.
treating
47.A. lines B.
papers C.
paragraphs D.
passages
48.A. complaints B. thumbs C.
smiles D.
worries
49.A. in all B.
after all C.
at all D.
above all
50.A. force B.
fire C.
stop D.
persuade
51.A. responsibility B. inexperience C.
anxiety D.
honesty
52.A. time B.
inspection C.
patience D.
fun
53.A. nationality B. safety C.
money D.
health
54.A. trust B.
friendship C.
knowledge D.
medicine
55.A. cruelly B.
illegally C.
equally D.
unfairly
第三部分：阅读理解（共20小题；每小题2分，满分 40分）
阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。
A
Practicing
yoga(瑜伽) may be one
way to prevent middle-aged spread, according to the findings of a new
study.
Although the
connection appears to be roundabout, yoga practitioners are clearly able to
avoid―or at least
minimize―the
one-pound-a-year of gained weight that most people bear between the ages of 45
and 55.
The researchers
used data from more than 15,000 men and women aged 53 to 57, who reported their
weight at age 45 and their current weight.
Practicing yoga
for 4 or more years, for at least 30 minutes once a week, resulted in a
3.1-pound lower weight gain among people who were normal weight at age 45. The
yoga practitioners who were overweight at 45 lost an average of 5 pounds, as
opposed to an average gain of 13 pounds in overweight nonpractitioners.
Dr. Alan R.
Kristal, the lead author on the study and associate director of the cancer
prevention program at Fred Hutchinson Cancer Research Center, emphasized that
yoga was not a magic weight control technique. “There are many weight control
strategies,” he said. “But none allows you to escape the laws of
thermodynamics(热力学). If you
take in more energy than you use up, then it will be stored as fat.”
But, he added,
yoga offers “a safe and comfortable way for people who have never been
physically active to begin regular physical activity.”
Unsurprisingly,
the study found significant differences in lifestyle between those who
exercised and those who did not. Yoga practitioners engaged in more physical
activity apart from yoga than did nonpractitioners. Longtime practitioners had
an 11 percent lower energy intake from fat and a 45 percent higher energy
intake from fruits and vegetables.
Moreover, for
an inactive person, yoga can be the beginning of more strenuous physical
activity. Yoga practitioners time and again report that they feel “more
connected” to their bodies, which may reduce food intake by helping increase
awareness of being too full.
56. The underlined word “spread” in
Paragraph 1 means “_________”.
A. becoming unhealthy
B. becoming inactive
C. becoming slim
D. becoming large
57. The researchers mentioned in the
passage _______ in their research.
A. made comparisons
B. used equipment
C. practiced yoga
D. lost weight
58. On average, if a 160-pound
person began to practise yoga at 45 regularly, he might weigh ______ pounds at
49.
A. 156.9
B. 147
C. 155
D. 142
B
The tower of
Big Ben, London’s most famous building, has always leaned(倾斜) slightly, but construction work
on a new line for the London Underground seemed likely to give the tower a real
lean. Engineers have had to prop up(支撑) its base to prevent it from damaging the rest of the Houses of
Parliament.
To control the
tower’s movement, engineers pumped grout(水泥浆) into the soil under the tower. The tower now leans an extra few centimeters,
but the lean can only be seen by the most sharp-eyed observer.
Between 1995
and 1997, to lengthen the Jubilee of the Underground, builders dug a
40-metre-deep hole just 31 metres north of the clock tower. And the new tube
(underground) tunnels were even nearer to the tower. John Burland, who recently
helped stop the increasing lean in the Leaning Tower of Pisa and was as adviser
to the Jubilee line project, believed the work would affect the tower. In his
opinion, no further lean should go beyond a safety limit of 27.5 millimetres
over the existing lean of 220 millimetres.
To keep the
lean within this limit, Burland told the British Association about the new
method of pumping grout immediately under the base of the tower. More than 300
tons of grout were pumped in during construction. The tower’s additional lean
went between 10 and 25 millimetres, but never passed 27.5 millimetres.
After the
construction work completed in late 1997, a review of movements in
nearby walls showed that the building was in better shape than had been thought
before and the safety limit was raised to 35 millimetres before any action
needs to be taken.
Since 1997, the
tower has continued to lean, Burland told Modern Construction.
The latest measurements, taken this year, suggest that the tower’s lean had
just reached 35 millimetres. But following regular re-examinations of the
tower, experts are sure that the tower has stabilized(稳定). A spokesman for London
Underground says: “We understand the tower has stabilized and returned to its
normal movement cycle.”
From Modern Construction, 16 September, 2000
59. Which of the following drawings
correctly shows how the propping up construction was carried out?
60. What does the word “review” (in
Paragraph 5) mean?
A. Observation.
B. Description. C. Discussion. D.
Re-examination.
61. What was the existing lean of the tower
at the time when the article was written?
A. 220 millimetres. B. 255 millimetres. C. 35 millimetres. D. 27.5 millimetres.
62. We can infer from the article that
_________.
A. the tower of Big Ben will damage the Houses of Parliament
B. the Jubilee line should be stopped in Burland’s opinion
C. the writer is blaming Burland for making a mistake
D. the propping up work has proved to be successful
C
If women are
mercilessly exploited(剥削) year after year, they have only themselves to blame. Because they
tremble at the thought of being seen in public in clothes that are out of
fashion, they are always taken advantage of by the designers and the big
stores. Clothes which have been worn only a few times have to be put aside
because of the change of fashion. When you come to think of it, only a woman is
capable of standing in front of a wardrobe packed full of clothes and
announcing sadly that she has nothing to wear.
Changing
fashions are nothing more than the intentional creation of waste. Many women
spend vast sums of money each year to replace clothes that have hardly been
worn. Women who cannot afford to throw away clothing in this way, waste hours
of their time altering the dresses they have. Skirts are lengthened or
shortened; necklines are lowered or raised, and so on.
No one can
claim that the fashion industry contributes anything really important to
society. Fashion designers are rarely concerned with vital things like warmth,
comfort and durability(耐用). They are only interested in outward appearance and they take
advantage of the fact that women will put up with any amount of discomfort, as
long as they look right. There can hardly be a man who hasn’t at some time in
his life smiled at the sight of a woman shaking in a thin dress on a winter
day, or delicately picking her way through deep snow in high-heeled shoes.
When comparing
men and women in the matter of fashion, the conclusions to be drawn are
obvious. Do the constantly changing fashions of women’s clothes, one
wonders, reflect basic qualities of instability(不稳定)? Men are too clever to let themselves be cheated by fashion
designers. Do their unchanging styles of dress reflect basic qualities of
stability and reliability? That is for you to decide.
63. Designers and big stores always make
money ______.
A. by mercilessly exploiting women workers in the clothing industry
B. because they are capable of predicting new fashions
C. by constantly changing the fashions in women’s clothing
D. because they always improve quality of women’s clothing
64. To the writer, the fact that women
change their old-fashioned dresses is seen as ______.
A. a quality of instability
B. a waste of time
C. an expression of taste
D. an expression of creativity
65. The writer would be less
critical if fashion designers placed more stress on the _____ of clothing.
A. cost B.
appearance C.
comfort
D. suitability
66. According to the passage, which of the
following statements is TRUE?
A. New fashions in clothing are created for the commercial exploitation
of women.
B. The constant changes in women’s clothing reflect their strength
of character.
C. The fashion industry makes an important contribution to society.
D. Fashion designs should not be encouraged since they are only
welcomed by women.
67. By saying “the conclusions to be drawn
are obvious”, the writer means that ______.
A. women’s changeableness in their choice of clothing is often laughed
at
B. women are better able to put up with discomfort
C. men are also exploited greatly by fashion designers
D. men are more reasonable in the matter of fashion
D
Where do
pesticides(杀虫剂) fit into
the picture of environmental disease? We have seen that they now pollute soil,
water, and food, that they have the power to make our streams fishless and our
gardens and woodlands silent and birdless. Man, however much he may like to
pretend the contrary, is part of nature. Can he escape a pollution that is
now so thoroughly distributed throughout our world?
We know that
even single exposures(暴露) to these chemicals, if the amount is large enough, can cause
extremely serious poisoning. But this is not the major problem. the sudden
illness or death of farmers, farm workers, and others exposed to sufficient
quantities of pesticides are very sad and should not occur. For the population
as a whole, we must be more concerned with the delayed effects of absorbing
small amounts of the pesticides that invisibly pollute our world.
Responsible
public health officials have pointed out that the biological effects of
chemicals are cumulative(积累的) over long periods of time, and that the danger to the individual(个体) may depend on the amount of the
exposures received throughout his lifetime. For these very reasons the danger
is easily ignored. It is human nature to shake off what may seem to us a threat
of future disaster. “Men are naturally most impressed by diseases which have
obvious signs,” says a wise physician, Dr. Rene Dubos, “yet some of their worst
enemies slowly approach them unnoticed.”
68. Which of the following is closest in meaning to the
sentence “Man, …is part of nature.” (Lines 3―4, Para. 1)?
A. Man appears indifferent(漠不关心的) to what happens in nature.
B. Man acts as if he does not belong to nature.
C. Man can avoid the effects of environmental pollution.
D. Man can escape his responsibilities for environmental protection.
69. In the author’s view, the sudden death caused by
exposure to large amounts of pesticides _______.
A. is not the worst of the negative consequences resulting from the use
of pesticides
B. now occurs most frequently among all accidental deaths
C. has sharply increased so as to become the center of public
attention
D. is unavoidable because people can’t do without pesticides in
farming
70. People tend to ignore the delayed
effects of exposure to chemicals because ______.
A. limited exposure to them does little harm to people’s health
B. the present is more important for them than the future
C. the danger does not become obvious immediately
D. humans are able of withstanding(经得起) small amounts of poisoning
71. It can be concluded from what Dr. Dubos
says that ______.
A. people find invisible diseases difficult to deal with
B. attacks by hidden enemies are obviously fatal
C. diseases with obvious signs are easy to cure
D. people tend to fail to notice hidden dangers caused by pesticides
E
TUVALU, a tiny
country in the Pacific Ocean, has asked for help as it fears it will be
swallowed up by the sea.
Storms and huge
waves are a constant threat and none of Tuvalu’s nine little islands is more
than five meters above sea level. Salt water is already entering the country’s
drinking water supply, as well as damaging plants that produce fruit and
vegetables. Without urgent help, the country’s days are numbered.
But Tuvalu is
not the first place to face sinking into the sea. Venice, a historic city in
Italy best known for its canals, has sunk about 24 cm over the past 100 years. Experts say that it
will have sunk another 20～50 cm by 2050. A century ago. St. Marks’s Square, the lowest point in the
city, flooded about nine times a year. Nowadays, it happens more than 100
times. While Venice is slowly sinking into the mud on which it stands, Tuvalu’s
rising sea level is caused by global warming.
The average
global temperature has increased by almost 0.5 centigrade degrees over the past
century; scientists expect it to rise by extra 1～3 degrees over the next 100 years.
Warmer weather
makes glaciers(冰川) melt,
adding more water to the ocean. The warmer temperatures also make water expand,
so it takes up more space, causing the sea level to rise. The sea level has
risen about 10～25 cm in the
last 100 years.
The main cause
of global warming is human pollution. Through burning coal, oil and gas, people
have been increasing the greenhouse gases in the atmosphere, such as CO2.
This adds to the power of the greenhouse effect, making the planet even warmer.
Many scientists
believe that, if the warming is not stopped, there will be huge climate
changes. The sea level could rise by one meter this century.
Should this
come true, the sea will swallow up millions of homes and the world be flooded
with “climate refugees” looking for somewhere to live.
72. We can infer from the second paragraph
that ______.
A. Tuvalu is in danger of being swallowed up by the sea
B. all Tuvalu’s islands are about five meters above the sea level
C. drinking water in Tuvalu has been destroyed
D. Tuvalu is often flooded by storms and waves
73. Put the following events in the right
order.
a. Glaciers begin to melt.
b. People burn coal, oil and gas.
c. The greenhouse effect is growing. d. The earth is
getting warmer and warmer.
e. The sea level is rising.
f.
More CO2 is produced.
g. Many places are sinking into the sea.
A. d,f,b,c,a,e,g B.
b,f,c,d,e,a,g C.
f,c,b,d,a,e,g
D. b,f,c,d,a,e,g
74. What does “climate refugees” mean?
A. People who are forced away from their homeland by climate. B. Climate changes.
C. Rare animals.
D. Climate effect.
75. Which of the following is NOT true
according to the passage?
A. Tuvalu’s nine little islands are less than five meters above the sea
level.
B. The average global temperature has risen by 1～3 centigrade degrees over the past
100
years.
C. The warmer temperature causes the sea level to rise.
D. There will be huge climate changes unless the warming is stopped.
第 二 卷
第四部分：写作（共二节，满分35分）
第一节：对话填空（10分）
Tom:
What’s your (1)p____ ? You seem to have been thinking of something. 76.________
Kate:
I was thinking of the test tomorrow. I’m afraid I can’t pass this time.
Tom:
(2)C____ up. You have been working pretty hard these days. There’s 77.________
no doubt that you will pass.
Kate:
(3)A____, I’m just worried about the pressure. I always feel 78.________
(4)n_____ as soon as I enter a test room. 79.________
Tom: Try to
relax. With the help of deep breathing, you can (5)r____ 80.________
the pressure gradually. Take (6)y____ time when you start to work. 81.________
You’ll feel much better in this way.
Kate: Thanks
for your kind a(7)______. 82.________
You seem to have fully (8)p_____ for the test, don’t you? 83.________
Tom: I don’t
wait (9)u______ tests come. If you work hard regularly, 84.________
you’re always ready for tests.
Kate:
Nice (10)t______ with you. Have a good day! 85.________
Tom:
You too, and good luck tomorrow.
第二节：书面表达（共25分）
近年来随着私家车的增多，交通事故也频繁发生。假设你是某市报社的一名记者，采访有关部门，调查2005年该市交通事故情况，获得了下面的数据图表。请根据得到的信息为报社写一篇简短的英文报道，呼吁人们重视交通安全，遵守交通规则。报道内容应包括：
1．交通事故的发生数量和趋势。
2．造成的损失情况。
3．分析事故原因（违章自行车，不遵守交通规则等）。
4．提出防范措施。
要求：1．词数120左右。开头已为你写好，不计入总词数；
2．发挥部分（防范措施）不少于三点，注意行文连贯。
With the increase of the number of private
cars in recent years, ___________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
Therefore, measures must be taken.
_________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
__________________________________________________________________________
高三英语模拟试卷答案：
1―5 ABCAA 6―10 CBACC 11―15 CBCCC 16―20 ABABA
21―25 DAACA 26―30 CDDCB 31―35 ACABB
36―40 ABBCD 41―45 CABAD 46―50 DACCB 51―55 BACBD
56―60 DAC AD 61―65 BDCBC 66―70 ADBAC 71―75 DADAB
76.problem 77.Cheer 78.Actually 79.remove 80.nervous 81.your 82.advice
83. prepared 84.until 85.talking.
With the increase of the number of private cars in recent years,
there have been more road accidents in our city. According to a police report,
387 road accidents happened in 2005, with an economic loss of over 5 million
yuan. 25 people were killed and 189 injured in these accidents, which made up
nearly a third of all accidents. What’s worse, road accidents are tending to
increase.
Most road accidents are caused by driving against traffic
regulations or by careless driving. Some pedestrians also disobey traffic
rules. Therefore, people must be constantly warned of the danger on the road.
The police should enforce the regulations strictly. Everyone should obey
traffic rules for the safety of all people.
试题详情
在每小题给出的四个选项中，只有一项是符合题意要求的
都是I的
,在下列各小题中，M是N的充分不必要条件的是（ ）
，N：
B．M：
，N：
, N：
D．M：
, N：
的解集为
,则函数
的图象为(
)
和等比数列
，对任意
都有
，且
，那么
的大小关系是（ ）
B. 
C. 
D. 
5．如图，在正方体
中，P是侧面
内一动点，若
的距离是P到直线
的距离的
，
；②
；③
；
，其中为真命题的是（ ）
满足条件
(
为常数)时,能使
的最大值为12的
.若动点P在抛物线
上,且点P在
轴上的射影为点M,则
的最大值是（ ）
C. 4 D. 3 
，若关于
的方程
恰有3个不同的实数解
，
等于（ ）
,若
,则
的值为 .
相切的圆的方程
纬线的长度为
，该地球仪表面积
展开式中含
的项的系数等于含
等于 .
互相垂直，且
，又
与
互相垂直，则
18．（本小题满分13分）
，AF=1，M是线段EF的中点.
（3）若信号从P点的正上方Q点处发出，则A、B收到信号的时间差变大还是变小，并证明你的结论.
.
，
为数列{
}的前
}为等比数列；
时，求
时，是否存在正整数
，使得对于任意正整数
？如果存在，求出
，若存在
使
成立，则称
是
， 
时，求
，…，
，
也无不动点；