范文一:2014 苏州 高三英语 一模
江苏省苏州市2014届高三第一次模拟考试
英 语
第一部分:听力(共两节,满分20分)
做题时,先将答案标在试卷上。录音内容结束后,你将有两分钟时间将试卷上的答案
转涂到答题卡上。
第一节(共5小题;每小题1分,满分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,你都有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(Where are the two people during the conversation?
A. In a bus. B. In a plane. C. In a train. 2. What does the woman say about the hat?
A. The hat is quite fashionable.
B. People may use it day and night.
C. The hat can be worn in different weather. 3. What are the two people discussing?
A. Setting the table.
B. Cleaning the kitchen.
C. Decorating a shop window.
4. What is the most probable job of the woman?
A. A professor. B. A saleswoman. C. An apartment manager.
5. Why can't the woman have lunch with the man?
A. Because she doesn't want to.
B. Because she will be terribly busy.
C. Because she will have lunch with somebody else 第二节(共15小题;每小题1分,满分15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,每小题将给出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7题。
6. What are the two speakers mainly talking about?
A. Professor Smith's lesson.
B. The use of cell phones in class.
C. Family emergency.
7. What's the woman's opinion about the problem?
A. Students may turn off ring in class while the phones are still on.
B (Students should turn off their cell phones during the class time.
C. Switching off cell phones in class is too strict. 听第7段材料,回答第8至10题。
8. What happened in the man's date?
A. He committed an attempted murder.
B (His lighter went wrong.
C. He spilled a drink on the girl's dress.
9. How did the man behave in the date?
A. He was nervous.
B,He felt confident.
C. He seemed smart.
10. What does the woman think of the girl?
A. The woman was favorably impressed by her good nature.
B. The woman thinks the girl is sweet and beautiful.
C. It seems that the woman's brother may know the girl. 听第8段材料,回答第i1至14题。
11?Where does the conversation most probably take place?
A. At the airport. B. At the bus station. C. On the phone. 12(How far is Milton from Toronto?
A: 150 miles. B. 147 miles. C. 143-144 miles.
13(How many options can the woman have to getto Milton?
A. 2. B. 3. C. 4.
14. How will the woman probably go to Milton?
A. Take a bus. B. Take a taxi(C. Take the Airport Shuttle.
听第9段材料,回答第15至17题。
15(Who did NOT attend the christening ceremony?
A. Kate's sister. B. Alexander MacQueen. C. Prince George. 16?What can we know about the toy box from the conversation?
A. Every member in the Cabinet contributed to this present
B,It actually cost the ministers more than 345 pounds.
C. It was the Prime Minister's idea to buy it as a christening gift. 17(What is the woman especially eager to know?
A. What was given as a christening gift.
B (Who paid for the toy box.
C. How Kate was dressed at the ceremony.
听第10段材料,回答第18至20题。
18. What did German Chancellor Angela Merkel do on arriving at the EU summit?
A. She declared to end the relations between Germany and the USA.
B. She asked the US government to restore trust between the EU and the USA.
C. She threatened to stop helping with the American economic growth. 19. What was the original topic of this EU summit in Brussels?
A. Spying issue.
B. EU leaders' concern about the USA.
C. Economic growth and migration to the EU.
20. What can we learn from this news report?
A. Whether Merkel's calls had been listened to in the past remained unknown.
B. President Obama guaranteed the US hadn't monitored other EU leaders' calls.
C. Edward Snowden demanded a complete explanation of the spying issue. 第二部分:英语语言知识运用(共两节,满分35分)
第一节单项填空(共15小题;每小题,分,满分15分)
请认真阅读下面各题,从题中所给的A、B、C、D四个选项中,选出最佳选项,
并在答题卡上将该项涂黑。
21(Sun Yang,,Olympic and world swimming champion of China, has received,
indefinite ban from competition following his seven-day detention for driving without a
license.
A. the; an B. an;,C. an; the D. the;,
22(一Mae Whitman's mother is a voice-artist and her father builds sets on stage.
――,,she ended up in acting.
A. There is no doubt B. It is no surprise
C. There is no point D. It is no use
23(The problem with seeing famous tourist attractions is the steady,of people all trying
to see the place at the same time, so I doubt whether it is worth it.
A. amount B. group C. pump D. stream
24. Turkey opened the world's first trans-continental underwater rail tunnel(,Asia and
Europe on 29 October, 2013,,closer the day when it will be possible to travel from
London to Beijing via Istanbul by train.
A. connected; brought B. connected; bringing
C (linking; brought D. linking; bringing
25(Although it doesn't look like,,the entire cathedral is made of wood.
A. it B. that C. this D. such
26. Recently the Ministry of Environmental Protection issued a circular saying that China may
adopt flexible working hours and stop school classes_____the highest air pollution warnings.
A. for fear of B. in terms of C. on top of D. in case of 27. China Hengda,well have won the football match, but I don't know because I wasn't
there.
A. could B. may C. should ( D. must
28. Since drug abusers have difficulty,the addiction, support groups where they can talk
about their struggles and find new ways to manage in the world are often needed.
A. to rid B. breaking C. to remove D. relieving
29.一Tom, were all the students on the school bus injured?
一No, only the three who got hurt.
A. there was B,there were C. that was D. it was
30.一Why do children hang stockings over the fireplace for presents?
一As the story goes, to help a poor family, Father Christmas threw a small bag of gold
down the chimney and it fell into a stocking that,up to dry over the fireplace.
A. hung B. had hung C. was hanging D. was hanged
31(We got in my father's car and headed straight home and一I surely would hxre been
stuck in the station for several days.
A. had I not B. did I not C. if I didn't D. if I had
32. You should be grateful to your employees, because you wouldn't be,you are now
without them.
A. why B. how C. where D. which
33(一What do you think of the UNICEF?
一Great. Its programs have saved thousands of children in Africa who would have
died from lack of food or terrible diseases.
A. instead B. otherwise C. therefore D. moreover
34.一Do you think Chinese elements in "Gravity" were included just to,an
increasingly influential Chinese viewing audience?
一I don't know, but the director denied the storyline was just to,the booming
market.
A. appeal to; win over B. cater to; take over id
C. adjust to; turn over D. adapt to; get over Im
35(一One cannot achieve anything by sitting around and talking about it.
一I can't agree more.,(That's why Johnson failed to get into college.
A. A book is a garden carried in the pocket.
B. An old pan is the one that makes good food.
C. A roaring lion kills no game.
D. A bad workman alwavs blames his tools.
第二节完形填空(共20小题;每小题,分,满分20分);ion
请认真阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项,
并在答题卡上将该项涂黑。
Children have lost touch with nature and the outdoors in just one generation! Recently a
campaign encouraging children to put away 36- and play outside has been organized. The
campaign, said to be the biggest ___37__, has been launched with the ___38___of a
documentary film, Project Wild Thing. It tells the story of how, ___39___ an attempt to get his
daughter and son outside, film-maker David Bond___40___ as marketing director for nature.
The call to renew a__41,with nature comes from about 400 organizations, from
playgroups to the National Health Service. Children are being __42__to take back their "wild
time",__43,30 minutes of screen use for outdoor activities. The organizers__44__that
giving up 30 minutes of television and computer games each day in exchange for outdoor play
will increase the __45,of fitness and alertness and improve children's well-being.
According to the chairman Andy Simpson, right now, time spent outdoors is _46__,
activity levels are declining and the ability to identify common species has been __47__
"With many more parents becoming __48__ the dominance(统治地位)of screen time in
their children's lives, and growing scientific evidence that a decline in__49__ time is bad
news for the health and happiness of our children, we all need to become marketing directors for
nature. We want parents to see what this magical wonder product does for their kids'
development, independence and creativity, by giving wild time a __50__,”said Mr. Simpson.
In Mr. Bond's opinion, the reasons why kids, __51__ they live in cities or the countryside,
have become __52__from nature and the outdoors are complex. "We need to make more
space for wild time in children's daily routine, __53__ this generation of kids to have the sort
of experiences that many of us took for granted. It's all about finding __54__ on your doorstep
and discovering the sights, sounds and __55__ of nature一maybe in a back garden, a local
park, or just green space at the end of the road."
36. A. subjects B. screens C. stages D. scenes
37. A. ever B. likely C. then D. even
38. A. outcome B. direction C. exposure D. release
39. A. by B. on C. for D. in
40. A. behaves B. acts C. treats D. regards
41(A. connection B. commitment C(contract D. campaign
42. A. pulled B. forced C. urged D. warned
43. A. providing B. taking C. swapping D. preparing
44. A. allow B. admit C. acquire D. argue
45. A. amounts B. levels C. degrees D. standards
46. A. down B. up C. over ( D. off
47. A. developed B. shown C. tested D. lost
48. A. delighted with B. guilty of C?concerned about D. desperate for
49. A. free B. active C. spare D. normal
50. A. go B. bit C. look D. fit
51 (A. while B. though C. as D. whether
52. A. escaped B. disconnected C. suffered D. protected
53(A. freeing B. forbidding C. seeking D. serving
54. A. imagination B. fortune C. wildness D. solution
55. A. senses B. voices C. features D. smells
第三部分:阅读理解(共15小题;每小题2分,满分30分)
请认真阅读下列短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选
项,并在答题卡上将该项涂黑。
A
Cliff House
Top of the world
Near the North Pole
Christmas, 1925
My dear boys,
I am dreadfully busy this year一it makes my hand more shaky than ever when I think of it
一and not very rich; in fact awful things have been happening, and some of the presents have got spoilt, and I haven't got the North Polar Bear to help me, and I have had to move house just before Christmas, so you can imagine what a state everything is in, and you will see why I have a new address, and why I can only write one letter between you both(
It all happened like this: one very windy day last November my hood blew off and went and stuck on the top of the North Pole. I told him not to, but the North Polar Bear climbed up to the thin top to get it down一and he did. The pole broke in the middle and fell on the roof of my house, and the North Polar Bear fell through the hole it made into the dining room with my hood over his nose, and all the snow fell off the roof into the house and melted and put out all the fires and ran down into the cellars where I was collecting this year's presents, and the North Polar Bear's leg got broken.
He is well again now, but I was so cross with him that he says he won't try to help me again 一I expect his temper is hurt, and will be mended by next Christmas.
I send you a picture of the accident and of my new house on the cliffs above the North Pole
(with beautiful cellars in the cliffs).
That's all. Good Bye~
56. Why can the writer only write one letter to the two boys?
A. His hand is more shaky than ever.
B (He is extremely busy.
C (He has got a new address.
D. He has to help the North Polar Bear.
57(Which of the following is most likely to be the picture of the accident?
58 The underlined "him',refers to
A. the hood B(the pole C. the hale D. the bear
B
"Extra? Extra~Gasoline hits four dollars a gallon!”
No one will really be shocked一except, perhaps, the old-timers who tell about the good
old days when gas was three gallons for a dollar, and people drove around "just for the fun of it". As a matter of fact; the price of gas has been rising fast and steadily for several years, and many adjustments have already been made.
There was, for a time, considerable unemployment in the auto industry, and three quarters of the garages and service stations have gone out of business. However; the bicycle and motor-scooter business has flourished(兴旺); and many people have found employment there:
Now that Federal Motors has brought out its new Lilliput, which travels forty miles on a gallon, the auto business is picking up again. The factories that haven't switched over to two-wheel transportation are working on their new smaller models. There is talk, too, about bringing out new steam and electric automobiles that will be just as economical as the old cars.
In the meantime, streetcars are gradually replacing buses all over the country because of the greater economy of electric power. And many people who have seldom used public transportation are now riding the streetcars while their automobiles rust(生锈)in their garages.
There's no market at all for their big, luxurious cars, for only the wealthy can now afford to operate them. Many people are now shopping in their own neighborhood, and small businesses are thriving.
Ministers, educators, and editorial writers are pointing out that there has been a great improvement in family life. Families now stay at home more for their fun, and children and parents are becoming better acquainted. The stores report a booming business in parlor games, hobby materials, books, musical instruments and albums.
People have lost their pale indoor look. The revival of the lost art of walking has brought a healthy pink back to many a cheek. This return to the heels has revolutionized the clothing styles; people now need to be ready for all kinds of weather:
These conditions, however, may not last. Already our clever chemists are at work on new synthetic fuels which, they say, will put us right back where we were一on wheels. Shall w e
wish them success or not?
59. Which of the following is NOT a result of the gas price rising?
A. More people prefer to travel on public transportation which costs less than driving cars.
B. People return to the traditional exercise of walking, which helps them to look healthier.
C. People shop in nearby stores without having to drive, so small businesses are declining.
D. The auto industry has been forced to develop new models which are more economical. 60. The purpose of writing this passage is,(
A. to show the chain reaction of the rising gas price
B. to discuss whether it's necessary to work on new fuels
C. to warn people not to use too much gasoline
D. to picture what life will be like if gas runs out
61(What is the best title for this passage?
A. New fuels on the way
B. Cars or bicycles, that is a question
C. End of the good old days
D. From wheels to heels
C
A new study links heavy air pollution from coal burning to shorter lives in northern China. Researchers estimate that the half-billion people alive there in the 1990s will live an average of 5 years less than their southern counterparts because they breathed dirtier air.
China itself made the comparison possible: for decades, a now-discontinued government policy provided free coal for heating, but only in the colder north. Researchers found significant differences in both particulate pollution of the air and life expectancy in the two regions.
While previous studies have found that pollution affects human health, "the deeper and ultimately more important question is the impact on life expectancy," said one of the researchers, Michael Greenstone, a professor of environmental economics at Massachusetts Institute of 一Technology.
"This study provides a unique setting to answer the life expectancy question because the (heating) policy dramatically changes pollution concentrations(含量),,,Greenstone said in an
email. "Further, due to the low rates of migration in China in this period, we can know people's exposure over long time periods," he said.
The policy gave free coal for fuel boilers to heat homes and offices to cities north of the Huai Riv饥which divides China into north and south. It was in effect for much of the 1950-198,0 period of central planning, and, though discontinued after 1980, it has left a legacy(遗留Pl
in the north of heavy coal burning, which releases particulate pollutants into the air that can harm human health. Researchers found no other government policies that treated China's north differently from the south.
The researchers collected data for 90 cities, from 1981 to 2000, on the annual daily average concentration of total suspended(悬浮的)particulates. In China, those are considered to be
particulates that are 100 micrometers or less in diameter, sent out from sources including power stations, construction sites and vehicles. Among them, PM2.5 is of especially great health concern because it can go deep into the lungs.
The researchers estimated the impact on life expectancies using death data from 1991-2000(
They found that in the north, the concentration of particulates was 184 micrograms per cubic meter一or 55 percent higher than in the south, and life expectancies were 5.5 years lower on average across all age ranges.
62. The main idea of this passage is that,?
A. research in China finds air pollution shortened life expectancy
B (the government provided free coal for heating in North China
C (coal burning causes bad air quality across China
D. a new study finds different particulates in South China
63(According to Greenstone,,greatly contributed to the high pollution
concentrations in North China.
A. power stations B. construction sites
C. the free heating policy D. gases from vehicles
64(It is implied in the passage that,?
A. coal is no longer used for heating in North China
B (air quality was comparatively better in South China
C. southerners burned coals for heating in the 1980s
D (people preferred to live in South China after 1980
65(The underlined word "particulates" most probably means,(
A. dirty clouds B. particular smoke
C. harmful dust D. dangerous bacteria
D
These young m,_ enn were a different kind of prisoner from those we had seen before. They- were brave, hostile(怀敌意的)and,1__ they would not take orders, and shouted
"Amandla~”at every opportunity. Their instinct was to confront(对抗)rather than cooperate.
The authorities? did not know how to handle them, and they turned the island upside down. During the Rivonia Trial, I remarked to a security policeman that if the government did not reform itself, the freedom fighters who would take our place?would some-day make the
authorities miss us. That day had indeed come on Robben Island.
In these young men we saw the angry revolutionary spirit of the times. I had had some warning. On a visit with Winnie a few months before, she had managed to tell me through our
coded conversation that there was a rising class of discontented youths? who were violent and
Africanist in beliefs. She said they were changing the nature of the struggle and that I should be aware of them.
The new prisoners were shocked by what they considered the inhuman conditions of the island, and said that they could not understand how we could live in such a way. We told them that they should have seen the island in 1964. But hey were almost as sceptical of us as they were of the authorities. They chose to ignore our calls for discipline and thought our advice weak and unassertive(不果断)(
It was obvious that they regarded us, the Rivonia Trialists?,as moderates?(温和派)(
After so many years of being branded a radical(激进的)revolutionary, to be seen as a moderate
was a novel and not altogether pleasant feeling. I knew that I could react in one of two ways:I
could scold them for their disrespect or I could listen to what they were saying. I chose the latter.
'4hen some of these men, such as Strini Moodley of the South African Students' Organization and Saths Cooper of the Black People's Convention, came into our section, I
__2____
Shortly after their arrival on the island, the commanding officer came and asked me as a favour to address the young men. He wanted me to tell them to behave themselves, to recognize the fact that they were in prison and to accept the discipline of prison life(I told him that I was
not prepared to do that. Under the circumstances, they would have regarded me as a follower of the authorities.
(-adapted from "Long walk to freedom: The autobiography of Nelson Mandela') 66(Which of the following words fits best in Blank 1,
A. mild B(aggressive C. friendly D. optimistic
67?We may infer from the passage all of the following EXCEPT that,
A. an angry massive revolution was probably on its way
B (the author's activities were strictly monitored
C (many were concerned about the influence these young men could make
D. these young men were willing to cooperate in face of difficulties
68. Sentences are missing in Blank 2 regarding the author's following reactions. Which of the
following reactions do you think he would have?
A. "I" asked them to tell us about their movement and beliefs.
B("I" reported to the officers about their dissatisfaction.
C. "I" tried to calm them down and talked them into behaving.
D. "I" just turned a deaf ear to the young men.
69. Which of the following is true according to the passage?
A. Conditions of the prison were far more unsatisfactory in 1964.
B (Officers of the prison turned the island upside down to discipline the young men.
C. The Rivonia Trialists felt honored to be regarded as moderates.
D. The young men regarded the author as a follower of the authorities.
70. Several phrases have been underlined and numbered in the passage; which two of them
actually refer to the same people?
A.?? B.?? C.?? D.??
第四部分:任务型阅读(共,0小题;每小题1分,满分10分)
请认真阅读下列短文,并根据所读内容在文章表格中的空格里填入一个最恰当的单词。
注意:请将答案写在答题卡上相应题号的横线上。每个空格只填1个单词。
One of the hottest buzzwords in China right now is no doubt tuhao, a sarcastic, light-hearted term referring to rich people of little education, bad taste or lacking self-awareness.
This is yet another example of smart Chinese Internet users applying their creativity to an aged phrase and giving it new life and meaning. The term, which literally means "country bully", has been around since ancient times, when it was used to refer to rich and powerful rural landlords.
However, the meaning of the word changed significantly when it was adapted a few years ago by Chinese players of the wildly popular computer game "World of Warcraft" to refer to rich players who spend big money buying powerful virtual weapons. Because they don't improve their skills by playing, these players are considered silly, uncultured, and unprofessional.
But that is not the end of tuhao's new life story. The renewed popularity of the term also coincides with(同时发生)the emergence(出现)of the Chinese "nouveau riche"一a
generation of businessmen and women, property owners and entrepreneurs who have rapidly accumulated large amounts of wealth in recent years.
Similar to the many rags-to-riches stories in human history, many Chinese billionaires who are on the global rich list do not come from well-educated or prestigious(声望很高的)
backgrounds. Rather, they achieved financial success through powerful connections, smart investments, and by riding out China's economic boom. Many of them don't shy away from throwing their money around, yet we are often reminded of their lack of manners, taste and cultural sensitivity.
As a result, a term that was popularized in the gaming world has now also been introduced into daily conversation.
Trendy, young Internet users, who see themselves as the opposite of tuhao一not wealthy,
but well-educated and cultured一have further popularized the term by using it in various comic situations. For example, the phrase "let's be friends, tuhao," became hot after it appeared in an online joke about a conversation between a rich young man and a wise monk(
When Apple released its much anticipated iPhone 5S in September, Chinese Internet users accurately predicted the great popularity of the new golden-colored models among Chinese consumers, and named it “tuhao Gold”, to make fun of the taste of rich Chinese people.
“Tuhao”--- a latest buzzword in China
“Country bully”, 73__________ to rich and powerful In 72_________ times landlords who oppressed others
Rich but unprofessional players, meaning players who In the 74________ would rather buy powerful 75________ weapons than 71__________ in world improve skills by playing. meaning Tasteless “nouveau riche”, indicating those rich people
In recent daily who have benefited from the 77__________ economy of
76____________ China but are 78______________ for their lack of
manners, taste and cultural sensitivity.
“Let?s be friends, An online joke about a conversation between a rich
tuhao.” young man and a wise monk. 79_________ of
its application A term intended to 80__________ the taste of rich “Tuhao gold” Chinese people.
第五部分:书面表达(满分25分)
阅读下面的短文,然后按照要求写一篇150词左右的英语短文。
A peacock was very unhappy with his ugly voice; and he spent
most of his days complaining about it.
"It is true that you cannot sing;" said the fox, "but look how beautiful you are!"
"0b,but what good is all this beauty;" cried the bird, "with such an unpleasant voice!"
"Listen," said the fox, "each one owns something good: You have such beauty; the
nightingale has his song; and the owl has his eyes. Even if you had a sweet voice, you would still
complain about another thing. Why can't you just be happy about what you have already got?"
【写作内容】
1.以约30个词概括短文的主要内容。
2.以约120个词就“停止抱怨并珍惜自己所拥有的“这一主题发表你的看法,内容包括:
(l)你或你身边的人的类似事例;
(2)谈谈你对该主题的看法。
【写作要求】
1.作文中可以使用自己的亲身经历或虚构的故事,也可以参照阅读材料的内容,但不得
直接引用原文中的句子:
2.文中不能出现真实姓名和学校名称。
【评分标准】
概括准确,语言规范,内容合适,语篇连贯。
范文二:2014届苏州高三数学一模(word版_有答案)[1]
2013~2014学年度苏锡常镇四市高三教学情况调查(一)
数学Ⅰ试题 2014. 3
参考公式:
柱体的体积公式:V 柱体 =Sh ,其中 S 是柱体的底面积, h 是高.
直棱柱的侧面积公式:S 直棱柱侧 =ch ,其中 c 是直棱柱的底面周长, h 是高.
一、填空题:本大题共 14小题,每小题 5分,共计 70分.请把答案填写在答题卡相应位置上
........ . 1.已知集合 {}
1,2,3,4
A =, {}
,4,7
B m
=,若 {}
1,4
A B =
,则 A B =
2.若复数 z = 13i
1i
+
-
(i 为虚数单位) ,则 | z | = ▲ .
3.已知双曲线
22
1
8
x y
m
-=
m 的值为 .
4. 一个容量为 20的样本数据分组后, 分组与频数分别如下:(]
10,20, 2;
(]
20, 30, 3; (]
30,40, 4; (]
40,50, 5; (]
50,60, 4; (]
60,70, 2.则
样本在 (]
10,50上的频率是 ▲ .
5.执行如图所示的算法流程图,则最后输出的 y 等于 .
6.设函数 2
() sin
f x a x x
=+,若 (1)0
f =,则 (1)
f -的值为
7. 四棱锥 P -ABCD 的底面 ABCD 是边长为 2的正方形, P A ⊥底面 ABCD
且 P A = 4,则 PC 与底面 ABCD 所成角的正切值为 ▲ .
8.从甲,乙,丙,丁 4个人中随机选取两人,则甲乙两人中有且只有一个被选取的概率为
9.已知
2
tan()
5
a b
+=,
1
tan
3
b =,则 tan +
4
p
a
??
?
??
的值为 ▲ .
(第 5题)
10.设等差数列 {}n a 的前 n 项和为 n S ,若 13a =-, 13
2
k a +=, 12k S =-,则正整数 k = 11.已知正数 , x y 满足 22x y +=,则
8x y
xy
+的最小值为 ▲ . 12. 如图, 在△ ABC 中, BO 为边 AC 上的中线, 2BG GO =
, 设 CD ∥ AG ,
若 15
AD AB AC =+
λ() ∈R λ,则 λ的值为 .
13. 已知函数 22(2)e , 0,
() 43, 0,
x x x x f x x x x ?-=?-++>?≤ () () 2g x f x k =+, 若函数 () g x 恰
有两个不同的零点,则实数 k 的取值范围为 ▲ .
14. 在 平 面 直 角 坐 标 系 xOy 中 , 已 知 点 (3,0)P 在 圆
22
2:24
280C x y m x y m +
--+-=内, 动直线 AB 过点 P 且交圆 C 于 , A B 两点,
若△ ABC 的面积的最大 值为 16,则实数 m 的取值范围为 ▲ .
二、解答题:本大题共 6小题,共计 90分.请在答题卡指定区域 .......
内作答,解答时应写出文字说明、证明 过程或演算步骤. 15. (本小题满分 14分)
设函数 2() 6cos cos f x x x x =-. (1)求 () f x 的最小正周期和值域;
(2)在锐角△ ABC 中,角 , , A B C 的对边分别为 , , a b c ,若 () 0f B =且 2b =, 4
cos 5
A =,求 a 和 sin C .
16. (本小题满分 14分)
如图, 在三棱柱 111ABC A B C -中, 侧面 11AA B B 为菱形, 且 160A AB ∠=?, AC BC =, D 是 AB 的中点.
(1)求证:平面 1A DC ⊥平面 ABC ; (2)求证:1BC ∥平面 1A DC .
1
1
1
C B A
C
B
A (第 16题)
(第 12题)
A
C
D
O
一个圆柱形圆木的底面半径为 1m ,长为 10m ,将此圆木沿轴所在的平面剖成两个部分.现要把其中 一个部分加工成直四棱柱木梁,长度保持不变,底面为等腰梯形 ABCD (如图所示,其中 O 为圆心, , C D 在半圆上) ,设 BOC q
∠=,木梁的体积为 V (单位:m 3) ,表面积为 S (单位:m 2) .
(1)求 V 关于 θ的函数表达式;
(2)求 q 的值,使体积 V 最大;
(3)问当木梁的体积 V 最大时,其表面积 S 是否也最大?请说明理由.
18. (本小题满分 16分)
如图,在平面直角坐标系 xOy 中,已知 A , B , C 是椭圆
22
22
1(0) x y
a b a b
+=>>
上不同的三点,
A , (3, 3)
B --, C 在第三象限,线段 BC 的中点在直线 OA 上.
(1)求椭圆的标准方程;
(2)求点 C 的坐标;
(3)设动点 P 在椭圆上(异于点 A , B , C )且
直线 PB , PC 分别交直线 OA 于 M , N 两点,
证明 OM ON
?
为定值并求出该定值.
B A O
(第 17题)
(第 18题)
设各项均为正数的数列 {}n a 的前 n 项和为 S n , 已知 11a =, 且 11() (1) n n n n S a S a λ+++=+对一切 *n ∈N 都 成立.
(1)若 λ = 1,求数列 {}n a 的通项公式; (2)求 λ的值,使数列 {}n a 是等差数列.
20. (本小题满分 16分)
已知函数 e () ln , () e x
x
f x mx a x m g x =--=,其中 m , a 均为实数. (1)求 () g x 的极值;
(2)设 1, 0m a =<,若对任意的 12,="" [3,4]x="" x="" ∈12()="" x="" x="" ≠,="">,若对任意的>
() () () ()
f x f x g x g x -
-
恒成立,求 a 的 最小值;
(3)设 2a =, 若对任意给定的 0(0,e]x ∈,在区间 (0,e]上总存在 1212, () t t t t ≠, 使得 120() () () f t f t g x ==
成立,求 m 的取值范围.
数学Ⅱ(附加题)
21. 【选做题】在 A 、 B 、 C 、 D 四小题中只能选做两题 ...... ,每小题 10分,共计 20分.请在答题卡指定区域 ....... 内作答,解答时应写出文字说明、证明过程或演算步骤. A .选修 4— 1:几何证明选讲
如图, ⊙ O 为四边形 ABCD 的外接圆, 且 A B A D =, E 是 CB 延 长线上一点,直线 EA 与圆 O 相切. 求证:CD AB
AB BE
=
.
B .选修 4— 2:矩阵与变换
已知矩阵 1221??
=??
??
M , 17??=????β,计算 6M β.
C .选修 4— 4:坐标系与参数方程
在平面直角坐标系 xOy 中, 圆的参数方程为 22cos ,
() 2sin x y a a a =+??
=?
为参数 , 以坐标原点 O 为极点, x 轴的 正半轴为极轴建立极坐标系.求: (1)圆的直角坐标方程; (2)圆的极坐标方程.
D .选修 4— 5:不等式选讲
已知函数 2() 22f x x x a a =++---,若函数 () f x 的图象恒在 x 轴上方,求实数 a 的取值范围.
E
(第 21-A 题)
【必做题】第 22题、第 23题,每题 10分,共计 20分.请在答题卡指定区域 .......
内作答,解答时应写出文字 说明、证明过程或演算步骤. 22. (本小题满分 10分)
甲乙两个同学进行定点投篮游戏,已知他们每一次投篮投中的概率均为
2
3
,且各次投篮的结果互不影 响.甲同学决定投 5次,乙同学决定投中 1次就停止,否则就继续投下去,但投篮次数不超过 5次. (1)求甲同学至少有 4次投中的概率; (2)求乙同学投篮次数 x 的分布列和数学期望.
23. (本小题满分 10分)
设 01212(1) m m
n n n n n m S C C C C ---=-+-+- , *, m n ∈N 且 m n <>
其中当 n 为偶数时, 2
n
m =; 当 n 为奇数时, 1
2
n m -=
. (1)证明:当 *n ∈N , 2n ≥ 时, 11n n n S S S +-=-; (2)记 01231007
20142013201220111007
1111120142013201220111007
S C C C C C =-+-+- ,求 S 的值.
2014年苏、锡、常、镇四市高三教学情况调查(一)
数学Ⅰ试题参考答案
一、填空题:本大题共 14小题,每小题 5分,共 70分. 1. {}1,2,3,4,7 2
3. 4 4. 710 5. 63 6. 2 7
8. 23 9. 98
10. 13 11. 9 12.
6
5
13. 73, 22??
-- ???
14. [3(3++-- 二、解答题:本大题共 6小题,共计 90分.解答时应写出文字说明、证明过程或演算步骤. 15. 解:(1
) 1+cos2() 622
x
f x x =?
=3cos223x x +
=) 36x p
++. ??????? 3分
所以 () f x 的最小正周期为 22
T p
p =
=, ??????? 4分
值域为 [3-+. ??????? 6分 (2)由 () 0f B =
,得 πcos(2) 6B +=.
B 为锐角,∴
ππ7π2666B <>
, π5π266
B +=,∴ π3B =. ??????? 9分 ∵ 4
cos 5
A =, (0,) A p ∈
,∴ 3sin 5A =. ??????? 10分
在△ ABC
中,由正弦定理得 3
2sin sin b A a B
?
=
= ??????? 12分
∴ 21sin sin()=sin(
) sin 32C A B A A A p p =---=+=. ??????? 14分 16. (1)证明:∵ 11ABB A 为菱形,且 160A AB ∠=?,
∴△ 1A AB 为正三角形. ??????? 2分 D 是 AB 的中点,∴ 1AB A D ⊥.
∵ AC BC =, D 是 AB 的中点,∴ AB CD ⊥. ??????? 4分 1A D CD D = ,∴ AB ⊥平面 1A DC . ??????? 6分
∵ AB ?平面 ABC ,∴平面 1A DC ⊥平面 ABC . ??????? 8分 (2)证明:连结 1C A ,设 11
AC AC E = ,连结 DE .
∵三棱柱的侧面 11AA C C 是平行四边形,∴ E 为 1AC 中点. ??????? 10分 在△ 1ABC 中,又∵ D 是 AB 的中点,∴ DE ∥ 1BC . ??????? 12分 ∵ DE ?平面 1A DC , 1BC ?平面 1A DC ,∴ 1BC ∥平面 1A DC . ??????? 14分 17.解:(1)梯形 ABCD 的面积
2cos 2sin 2ABCD S q q +=
?=sin cos sin q q q +, (0,) 2
p
q ∈. ??????? 2分 体积 () 10(sincos sin ), (0,) 2V p
q q q q q =+∈. ??????? 3分
(2) 2() 10(2coscos 1) 10(2cos1)(cos1) V q q q q q '=+-=-+. 令 () 0V q '=,得 1
cos 2
q =
,或 cos 1q =-(舍) . ∵ (0,) 2p q ∈,∴ 3p
q =. ??????? 5分
当 (0,) 3p q ∈时, 1
cos 12
q <, ()="" 0,="" ()="" v="" v="" q="" q="" '="">为增函数;
当 (, ) 32p p q ∈时, 1
0cos 2q <, ()="" 0,="" ()="" v="" v="" q="" q="">,><为减函数. ???????="">为减函数.>
∴当 3
p
q =
时,体积 V 最大. ??????? 8分 (3)木梁的侧面积 210S AB BC CD =++?侧 () =20(cos2sin 1) 2q q ++, (0,) 2
p
q ∈.
2ABCD S S S =+侧 =2(sincos sin ) 20(cos2sin 1) 2q
q q q q ++++, (0,) 2p q ∈.??????? 10分
设 () cos 2sin 12g q q q =++, (0,) 2p q ∈.∵ 2() 2sin 2sin 222g q q
q =-++,
∴当 1sin
22
q =,即 3p
q =时, () g q 最大. ??????? 12分
又由(2)知 3
p
q =时, sin cos sin q q q +取得最大值, 所以 3
p
q =
时,木梁的表面积 S 最大. ??????? 13分 综上,当木梁的体积 V 最大时,其表面积 S 也最大. ??????? 14分 18.解:(1)由已知,得 22229181, 991,
a b a b ?
?+
=???+=?? 解得 2227,
27. 2a b ?=??=?? ??????? 2分
所以椭圆的标准方程为
22127
272
x y +=. ??????? 3分
(2)设点 (, ) C m n (0, 0) m n <,则 bc="" 中点为="">,则>
(
, ) 22
m n --. 由已知,求得直线 OA 的方程为 20x y -=,从而 23m n =-.① 又∵点 C 在椭圆上,∴ 22227m n +=.②
由①②,解得 3n =(舍) , 1n =-,从而 5m =-. ??????? 5分 所以点 C 的坐标为 (5, 1) --. ??????? 6分 (3)设 00(, ) P x y , 11(2, ) M y y , 22(2, ) N y y . ∵ , , P B M 三点共线,∴ 011033
233y y y x ++=++,整理,得 001003() 23y x y x y -=--.??????? 8分
∵ , , P C N 三点共线,∴
022011
255y y y x ++=++,整理,得 00200523
y x y x y -=-+.??????? 10分
∵点 C 在椭圆上,∴ 2200227x y +=, 2200272x y =-.
从而 222000000012222
00000003(56) 3(3627) 39
3449241822
x y x y y x y y y x y x y y x y +--+===?=+---+. ??????? 14分 所以 1245
52
OM ON y y ?== . ??????? 15分
∴ OM ON ? 为定值,定值为 452. ??????? 16分
19.解:(1)若 λ = 1,则 11(1) (1) n n n n S a S a +++=+, 111a S ==.
又∵ 00n n a S >>, , ∴ 11
11n n n n
S a S a +++=+, ??????? 2分 ∴
31312212121
11111n n n n
S S a a S a S S S a a a +++++???=???+++ , 化简,得 1112n n S a +++=.① ??????? 4分 ∴当 2n ≥ 时, 12n n S a +=.②
② - ①,得 12n n a a +=, ∴
1
2n n
a a +=(2n ≥ ) . ??????? 6分 ∵当 n = 1时, 22a =,∴ n = 1时上式也成立,
∴数列 {a n }是首项为 1,公比为 2的等比数列, a n = 2n -1(*n ∈N ) . ??????? 8分 (2)令 n = 1,得 21a λ=+.令 n = 2,得 23(1) a λ=+. ??????? 10分
要使数列 {}n a 是等差数列,必须有 2132a a a =+,解得 λ = 0. ??????? 11分 当 λ = 0时, 11(1) n n n n S a S a ++=+,且 211a a ==.
当 n ≥ 2时, 111() (1)() n n n n n n S S S S S S +-+-=+-, 整理,得 2111n n n n n S S S S S +-++=+, 1
111n n n n
S S S S +-+=+, ??????? 13分
从而
33124121231
11111n n n n
S S S S S S S S S S S S +-+++???=???+++ , 化简,得 11n n S S ++=,所以 11n a +=. ?????? 15分 综上所述, 1n a =(*n ∈N ) ,
所以 λ = 0时,数列 {}n a 是等差数列. ??????? 16分 20.解:(1) e(1)
() e x
x g x -'=
,令 () 0g x '=,得 x = 1. ??????? 1分 列表如下:
∵ g (1) = 1,∴ y =() g x 的极大值为 1,无极小值. ??????? 3分 (2)当 1, 0m a =<时, ()="" ln="" 1f="" x="" x="" a="" x="--," (0,)="" x="">时,>
∵ () 0x a
f x x -'=
>在 [3,4]恒成立,∴ () f x 在 [3,4]上为增函数. ??????? 4分 设 1e () () e x h x g x x ==,∵ 12e (1) () x x h x x --'=> 0在 [3,4]恒成立, ∴ () h x 在 [3,4]上为增函数. ??????? 5分 设 21x x >,则 212111
() () () ()
f x f x g x g x -
-
等价于 2121() () () () f x f x h x h x -<-, 即="" 2211()="" ()="" ()="" ()="" f="" x="" h="" x="" f="" x="" h="" x="">-,><>
设 1e () () () ln 1e x
u x f x h x x a x x
=-=---?,则 u (x ) 在 [3,4]为减函数.
∴ 2
1e (1)
() 10e x a x u x x x -'=--?≤ 在(3, 4)上恒成立. ??????? 6分 ∴ 11
e e x x a x x
---+≥ 恒成立.
设 11e () e x x v x x x --=-+,∵ 11
2
e (1) () 1e x x x v x x ---'=-+=121131e [() ]24x x ---+, x ∈[3, 4],
∴ 1221133
e [() ]e 1244
x x --+>>,∴ () v x '< 0,="" ()="" v="" x="">
高三数学Ⅰ 第 11页(共 14页)
∴ () v x 在 [3, 4]上的最大值为 v (3) = 3 -22
e 3. ??????? 8分
∴ a ≥ 3 -22e 3,∴ a 的最小值为 3 -22
e 3. ??????? 9分
(3)由(1)知 () g x 在 (0,e]上的值域为 (0,1]. ??????? 10分 ∵ () 2ln f x mx x m =--, (0,) x ∈+∞,
当 0m =时, () 2ln f x x =-在 (0,e]为减函数,不合题意. ??????? 11分
当 0m ≠时, 2
()
() m x f x x
-
'=,由题意知 () f x 在 (0,e]不单调,
所以 20e m
<,即>,即>
e m >.① ??????? 12分
此时 () f x 在 2(0,
) m 上递减,在 2
(,e) m
上递增, ∴ (e)1f ≥ ,即 (e)e 21f m m =--≥ ,解得 3
e 1
m -≥ .② 由①②,得 3
e 1
m -≥
. ??????? 13分 ∵ 1(0,e]∈,∴ 2
() (1)0f f m =≤ 成立. ??????? 14分
下证存在 2
(0,]t m ∈,使得 () f t ≥ 1.
取 e m t -=,先证 e 2
m m
-
,即证 2e 0m m ->.③ 设 () 2e x w x x =-,则 () 2e 10x w x '=->在 3
[, ) e 1
+∞-时恒成立. ∴ () w x 在 3[
, ) e 1+∞-时为增函数.∴ 3e ) ) 01
((w x w ->≥ ,∴③成立. 再证 () e m f -≥ 1. ∵ e e 3
() 1e 1
m m f m m m --+=>>-≥
,∴ 3e 1m -≥ 时,命题成立. 综上所述, m 的取值范围为 3
[
, ) e 1
+∞-. ??????? 16分
高三数学Ⅰ 第 12页(共 14页)
21、 【选做题】在 A 、 B 、 C 、 D 四小题中只能选做两题 ...... ,每小题 10分,共计 20分. A .选修 4— 1:几何证明选讲
证明:连结 AC . EA 是圆 O 的切线,∴ EAB ACB ∠=∠. ??????? 2分
AB AD = ,∴ ACD ACB ∠=∠. ∴ ACD EAB ∠=∠. ??????? 4分
圆 O 是四边形 ABCD 的外接圆,∴ D ABE ∠=∠. ??????? 6分 ∴ CDA ?∽ ABE ?. ??????? 8分 ∴
CD DA AB BE =, AB AD = ,∴ CD AB
AB BE
=
. ??????? 10分 B .选修 4— 2:矩阵与变换 解:矩阵 M 的特征多项式为 21
2
() 2321
f λλλλλ--=
=----. 令 12() 031f λλλ===-,解得 , ,对应的一个特征向量分别为 111??=????α, 211??
=??-??
α. ? 5分
令 12m n =+βαα,得 4, 3m n ==-.
6666661212112913(43) 4() 3() 433(1) 112919??????
=-=-=?--=??????-??????
M βM ααM αM α.????? 10分 C .选修 4— 4:坐标系与参数方程
解:(1)圆的直角坐标方程为 22(2) 4x y -+=. ??????? 5分 (2)把 cos , sin , x y ρθρθ=??=?
代入上述方程,得圆的极坐标方程为 4cos ρθ=.??????? 10分
D .选修 4— 5:不等式选讲
解:() f x 的最小值为 232a a --, ??????? 5分
由题设,得 223a a -<,解得 (1,3)="" a="" ∈-.="" ???????="">,解得>
【必做题】第 22题、第 23题,每题 10分,共计 20分.
22.解:(1)设甲同学在 5次投篮中,有 x 次投中, “至少有 4次投中”的概率为 P ,则
(4) (5) P P x P x ==+= ??????? 2分
=44155
0552222() (1) () (1) 3333C C -+-=
112243. ??????? 4分 (2)由题意 1,2,3,4,5=x .
2(1) 3P ==x , 122(2) 339P ==?=x , 1122(3) 33327P ==??=
x , 3
122
(4) 3381
P x ??==?= ???,
高三数学Ⅰ 第 13页(共 14页)
4
11(5) 381P x ??
=== ???.
x 的分布表为
??????? 8分
x 的数学期望 22221121
123453927818181
E =?+?+?+?+?=
x . ??????? 10分 23.解:(1)当 n 为奇数时, 1n +为偶数, 1n -为偶数, ∵ 110
12
211
12
(1)
n n n n n
n S C
C C
+++++=-++- , 11012
21
12
(1)
n n n n n n S C C C
---+=-++- ,
11012
211
2
12
(1)
n n n n n n S C C
C
------=-++- ,
∴ 11
111100112
222
211
1
1
1112
2
2
() () (1)
() (1)
n n n n n n n n n n n n n n S S C C C C C
C
C
-+-++-++-++++-=---++--+-
=11012
21
2
112
((1)
) n n n n n n C
C
C
S --------++-=- .
∴当 n 为奇数时, 11n n n S S S +-=-成立. ??????? 5分 同理可证,当 n 为偶数时, 11n n n S S S +-=-也成立. ??????? 6分 (2)由 01231007
20142013201220111007
1111120142013201220111007
S C C C C C =
-+-+- ,得 0
1231007
20142013201220111007201420142014201420142013201220111007
S C C C C C =-
+-+- =01122331007
10072014201320132012201220112011100710071231007() () () () 2013201220111007
C C C C C C C C C -+
++-++-+ =0121007012100620142013201210072012201120101006() () C C C C C C C C -+----+-+
=20142012S S -. ??????? 9分 又由 11n n n S S S +-=-,得 6n n S S +=, 所以 20142012421S S S S -=-=-, 1
2014
S =-. ??????? 10分
高三数学Ⅰ 第 14页(共 14页)
范文三:2014高三数学一模虹口
虹口区 2013学年度第一学期高三年级数学学科
期终教学质量监控测试题
一、填空题(每小题 4分,满分 56分) 1、已知全集 {}2,
1, 0=U , {}0=-=m x x A ,如果 U C A ={}1, 0,则 =m .
2、不等式 022<---x x="" 的解集="">---x>
是 . 3、如果 x x cos sin +>λ对一切 R x ∈都成立,则实数 λ的取值范围是 4、从长度分别为 1、 2、 3、 4的四条线段中任意取三条,则以这三条线段为边可以构成三角形
的概率是 .
5、双曲线 19
42
2=-y x 的焦点到渐近线的距离等于 . 6、 已知 ) (x f y =是定义在 R 上的偶函数,且在 ) , 0[∞+上单调递增, 则满足 ) 1() (f m f < 的="" 实数="" m="" 的范围是="">
7、已知 6) 1(ax +的展开式中,含 3x 项的系数等于 160,则实数 =a
8、已知 {}n a 是各项均为正数的等比数列,且 1a 与 5a 的等比中项为 2,则 42a a +的最小值等
于 .
9、 已知椭圆的中心在原点, 一个焦点与抛物线 x y 82=的焦点重合, 一个顶点的坐标为 ) 2, 0(,
则此椭圆方程为 . 10、给出以下四个命题:
(1)对于任意的 0>a , 0>b ,则有 a b b a lg lg =成立; (2)直线 b x y +?=αtan 的倾斜角等于 α;
(3)在空间 ..
如果两条直线与同一条直线垂直,那么这两条直线平行; (4)在平面 .. 将单位向量的起点移到同一个点,终点的轨迹是一个半径为 1的圆. 其中真命题的序号是 .
11、已知 ) (x f y =是定义在 R 上的奇函数,且当 0≥x 时, x x x f 2
1
41) (+-=,则此函数的值 域为 .
12、 已 知 函 数 x x f 10) (=, 对 于 实 数 m 、 n 、 p 有 ) () () (n f m f n m f +=+,
) () () () (p f n f m f p n m f ++=++,则 p 的最大值等于 .
图 1
P
图 2
P
N
M
D C 1
1
A 1
D
C
B
A
13、已知函数 2
sin
) (2π
n n n f =,且 ) 1() (++=n f n f a n ,则 =++++2014321a a a a 14、函数 x x f πsin 2) (=与函数 1) (-=x x g 的图像所有交点的橫坐标之和为 .
二、选择题(每小题 5分,满分 20分) 15、已知 ) 2,
0(=, ) 1, 1(= ,则下列结论中正确的是( )
. A ⊥-) ( . B ) () (+⊥- . C // .
D =16、函数 ??
?=为无理数
为有理数 x x x f π
1) (,下列结论不正确 ...
的( ) . A 此函数为偶函数. . B 此函数是周期函数.
. C 此函数既有最大值也有最小值. . D 方程 1)]([=x f f 的解为 1=x .
17、 在 n n n C B A ?中,记角 n A 、 n B 、 n C 所对的边分别为 n a 、 n b 、 n c ,且这三角形的三边长是
公差为 1的等差数列,若最小边 1+=n a n ,则 =∞
→n n C lim ( ) .
.
A 2π . B 3π . C 4π . D 6
π
18、 如图 1, 一个密闭圆柱体容器的底部镶嵌了同底的圆锥实心装饰块, 容器内盛有 a 升水. 平 放在地面 , 则水面正好过圆锥的顶点 P ,若将容器倒置如图 2,水面也恰过点 P .以下命题正 确的是 ( ) .
. A 圆锥的高等于圆柱高的
21
; . B 圆锥的高等于圆柱高的 32
;
. C 将容器一条母线贴地,水面也恰过点 P ; . D 将容器任意摆放,当水面静止时都过点 P . 三、解答题(满分 74分)
19、 (本题满分 12分) 如图在长方体 1111D C B A ABCD -中, a AB =, b AD =, c AC =1, 点 M 为 AB 的中点,点 N 为 BC 的中点. (1)求长方体 1111D C B A ABCD -的体积; (2) 若 4=a , 2=b , 21=c , 求异面直线 M A 1与 N B 1所成的角.
20、 (本题满分 14分)已知 ) sin , cos (ααA . ) sin , cos (ββB ,其中 α、 β为锐角,且
5
=
AB . (1)求 ) cos(βα-的值; (2)若 2
1
2
tan =
α
,求 αcos 及 βcos 的值.
21、 (本题满分 14分)数列 {}n a 是递增的等差数列,且 661-=+a a , 843=?a a . (1)求数列 {}n a 的通项公式;
(2)求数列 {}n a 的前 n 项和 n S 的最小值; (3)求数列 }
n a 的前 n 项和 n T .
22、 (本题满分 16分)已知圆 C 过定点 ) 1, 0(A ,圆心 C 在抛物线 y x 22=上, M 、 N 为圆 C 与
x 轴的交点.
(1)当圆心 C 是抛物线的顶点时,求抛物线准线被该圆截得的弦长. (2)当圆心 C 在抛物线上运动时, MN 是否为一定值?请证明你的结论. (3) 当圆心 C 在抛物线上运动时, 记 m AM =, n AN =, 求 m
n
n m +的最大值, 并求出此时圆 C 的方程.
23、 (本题满分 18分) .设函数 n n
n
n x
x x x f 2222) (22++++-= .
(1)求函数 ) (2x f 在 ]2,
1[上的值域;
(2)证明对于每一个 *
∈N n ,在 ]2,
1[上存在唯一的 n x ,使得 0) (=n n x f ;
(3)求 ) () () (21a f a f a f n +++ 的值.
N M
D 1
C 1
1
A 1
D C B
A
虹口区 2014年数学学科高考练习题答案
一、填空题(每小题 4分,满分 56分)
1、 2; 2、 ) 1, 1(-; 3、 ) , 2(∞+; 4、
4
1
; 5、 3; 6、 11<-m ;="" 7、="" 2="a" ;="" 8、="" 4;="" 9、="">-m>
82
2=+y x ; 10、 (1) (4) ; 11、 ]4
1
, 41
[-
; 12、 3lg 2lg 2-; 13、 4032-; 14、 17; 二、选择题(每小题 5分,满分 20分)
15、 A ; 16、 D ; 17、 B ; 18、 C ; 三、解答题(满分 74分)
19、 (12分 ) 解 :(1) 连 AC 、 1AC . ABC ?是 直 角 三 角 形 , ∴22b a AC +=.………… 1分
1111D C B A ABCD -是长方体, ∴BC C C ⊥1, CD C C ⊥1,又
C BC DC =?,
∴⊥C C 1平面 ABCD , ∴AC C C ⊥1.
又在 1ACC Rt ?中, c AC =1, 22b a AC +=
, ∴2221b a c CC --=,…………… 4分
∴2221111b a c ab V D C B A ABCD --=-……… 6分
(2)取 AD 的中点 E ,连 E A 1、 EM .
11////B A AB EN , ∴四边形 NE B A 11为平行四边形, N B E A 11//∴, ∴M EA 1∠等于异面直线 M A 1与 N B 1所成的角或其补角.………… 8分
2=AM , 1=AE , 11=AA ,得 51=M A , 21=E A , 5=EM ,…… 10分 ∴10
22cos 1=
?=
∠M EA , 101=∠M EA .
∴异面直线 M A 1与 N B 1所成的角等于 10
……………… 12分
20、 (14分)解:(1)由 5=
AB ,得 5
) sin (sin) cos (cos22=-+-βαβα, 得 5
2) sin sin cos (cos22=?+?-βαβα,得 54
) cos(=-βα.………… 4分
(2) 2
12tan =α, ∴534
11
12tan 1tan 1cos 22=+
-
=+-=
αα.…………… 6分 ∴54sin =α, 5
3
) sin(±=-βα………… 10分
当 53) sin(=-βα时, 2524
) sin(sin ) cos(cos )](cos[cos =-?+-?=--=βααβααβααβ.
当 5
3
) sin(-=-βα时, 0) sin(sin ) cos(cos )](cos[cos =-?+-?=--=βααβααβααβ.
β为锐角, ∴25
24
cos =β……………………………… 14分
21、 (14分)解:(1) 由 ??
?=?-=+864361a a a a ??
?=?-=+?8
64343a a a a ,得 3a 、 4a 是方程 0862
=++x x 的 二个根, 21-=x , 42-=x ,此等差数列为递增数列, ∴43-=a , 24-=a ,公差 2=d ,
81-=a . 102-=∴n a n ……………… 4分
(2) n n a a n S n n 92
) (21-=+=
, 481) 29(2--=n S n ,
∴20) (54min -===S S S n …………………… 8分
(3)由 0≥n a 得 0102≥-n ,解得 5≥n ,此数列前四项为负的,第五项为 0,从第六项开始为正 的.…………………… 10分
当 51≤≤n 且 *
∈N n 时,
n n S a a a a a a T n n n n 9) (22121+-=-=+++-=+++= .………… 12分
当 6≥n 且 *
∈N n 时,
5
652165212) () (S S a a a a a a a a a a T n n n n -=++++++-=++++++= 4092+-=n n .…………………… 14分
22、 (16分)解:(1)抛物线 y x 22=的顶点为 ) 0, 0(,准线方程为 2
1
-=y ,圆的半径等于 1,
圆 C 的方程为 122=+y x .弦长 2
3
2) 2
1(22
=?
=-……………………… 4分 (2)设圆心 ) 21,
(2a a C ,则圆 C 的半径 222) 12
1
(-+=a a r , 圆 C 的方程是为:222222
) 12
1
() 21() (-+=-
+-a a a y a x ………… 6分 令 0=y ,得 0122
2
=-+-a ax x ,得 11-=a x , 12+=a x ,
∴212=-=x x MN 是定值.……………… 8分
(3)由(2)知,不妨设 ) 0,
1(-a M , ) 0, 1(+a N , a a a x m 221) 1(12221-+=+-=+=,
a a a x m 221) 1(1222
2++=++=+=.
44124
4242
4222++=++=+=+a a a a mn n m m n n m .……………… 11分
当 0=a 时,
2=+m
n
n m .……………… 12分 当 0≠a 时, 2244
24424422
2424222≤++=++=++=+=+a
a a a a a mn n m m n n m .
当且仅当 2±=a 时,等号成立………………………… 14分 所以当 2±=a 时,
m
n
n m +取得最大值 22,此时圆 C 的方程为 2) 1() 2(22=-+±y x . ……………………………… 16分
23、 (18分) 解:(1) 22424) (x x x f ++
-=, 由 ]2, 1[∈x 令 ]1, 2
1
[1∈=x t , 4242-+=t t y . 对 称 轴 41-=t , 4242
-+=t t y 在 ]1, 2
1[上 单 调 递 增 , ) (2x f 在 ]2, 1[上 的 值 域 为
]2. 2[-.……………… 4分
(2) 对 于 2121≤<≤x x="" ,="">≤x>
∈N m 有 m m
x x 2
11<≤, m="" m="" x="" x="">≤,><, 从="" 而="" m="">,>
m m x x 1
222<>
∴m m x
y 2=, *
∈N m , 在 ]2, 1[∈x 上单调递减 , ∴ n n n n x x x x f 2222) (22++++-= ,
∴在 ]2, 1[∈x 上单调递减.
又 0222222) 1(2≥-=++++-=n n n n f .
n f n n +-=2) 2(. ……………… 7分
当 2≥n 时, 0) 11(2) 2(210<+-----=++-=+-=n c="" c="" c="" c="" n="" n="" f="">+-----=++-=+-=n>
n n n n n n n
(注用数学归纳法证明 n n
>2相应给分)
又 0112) 2(1<-=+-=f ,即对于任意自然数="" n="" 有="" 02)="">-=+-=f><+-=n f="" n="">+-=n>
∴对于每一个 *∈N n ,存在唯一的 ]2, 1[∈n x ,使得 0) (=n n x f ……………… 11分
(3) m m
m
m a
a a a f 2222) (22++++-= .
当 2=a 时, m a f m m +-=2) (.
22
)
1(2) () () (121+++
-=++++n n a f a f a f n n . ……………… 14分 当 2≠a 且 0≠a 时, a a a a
a a a f m m m m
m m 21]) 2(1[222222) (22--+-=++++-= .
n
n n n a a a a n a f a f a f 22
21
21) 2(2) 2(42222
) () () (-+
---++-=+++++ …………… 18分
范文四:苏州2016高三一模
苏州市2016届高三调研测试 一、填空题:本大题共14小题,每小题5分,共计70分(不需要写出解答过程,请把答案直接填在答题卡相应位置上( ((((((((21( 设全集U,,x | x?2,x?N,,集合A,,x | x?5,x?N,,则, ( eAU
ai2(5 复数,其中i为虚数单位,,,则a的值为 ( ||zza,,(0)12i,22xy3( 双曲线的离心率为 ( ,,1开始 45
4( 若一组样本数据9,8,x,10,11的平均数为10,则该x?1 ,y?1
组样本数据的方差为 (
z?x+y 5( 已知向量a=(1,2),b=(x,-2),且a?(a-b),则实数
N x= ( z < 6="" 6(="" 阅读算法流程图,运行相应的程序,输出的结果yy="" 输出="" xx?="" y="" 为="" (="">
结束 x,2,0,x?,y? z 7( 函数的值域为 ( fx(),,2,,,xx1,0,,(第6题图) 8( 连续2次抛掷一枚骰子(六个面上分别标有数字
1,2,3,4,5,6),则事件“两次向上的数字之和等于7”发生的概率为 (
1:2:39( 将半径为5的圆分割成面积之比为的三个扇形作为三个圆锥的侧面,设这三个
圆锥的底面半径依次为,则, ( rrr,,rrr,,123123
2sincos,,,,10(已知是第三象限角,且,则, ( ,,,,,sin2cos5
11(已知是等差数列,a,15,a,,10,记数列的第n项到第n+5项的和为{}a{}a510nn
TT,则取得最小值时的n的值为 ( nn
2212(若直线和直线将圆(1)(2)8xy,,,,分成长度相等的四段lyxa:,,lyxb:,,12
22ab,弧,则, (
|sin|x13(已知函数f(x),,kx (x?0,k?R)有且只有三个零点,设此三个零点中的最大
x0值为x,则, ( 02(1)sin2,xx00
112ab,(0,1),14(已知,,则的最小值为 ( ab,,411,,ab
二、解答题:
15((本小题满分14分)
aB+bAcoscos,ABC在中,三个内角A,B,C所对的边分别为a,b,c,且满足( ,2cosCc
,ABCab,,6(123)求角C的大小;(2)若的面积为,,求边的长( c
16((本小题满分14分)
如图,在直四棱柱ABCD,ABCD中, E,F分别是AB,BC的中点,AC 与BD11111111交于点O.
(1)求证:A,C,F,E四点共面; 11
OD,OD, (2)若底面ABCD是菱形,且AE,求证:平面ACFE. 111
D1 C1
O
A 1 B1
C D
F
A E B (第16题图)
17((本小题满分14分)
图1是一段半圆柱形水渠的直观图,其横断面如图2所示,其中C为半圆弧的ACB中点,渠宽AB为2米((1)当渠中水深CD为0.4米时,求水面的宽度;(2)若把这条水渠改挖(不准填土)成横断面为等腰梯形的水渠,且使渠的底面与地面平行,则当改挖后的水渠底宽为多少时,所挖出的土量最少,
A B
D
C
(第17题图1) (第17题图2)
18((本小题满分16分)
2x2如图,已知椭圆O:,1的右焦点为F,点B,C分别是椭圆O的上、下顶点,,y4
点P是直线l:y,,2上的一个动点(与y轴交点除外),直线PC交椭圆于另一点M(
(1)当直线PM过椭圆的右焦点F时,求?FBM的面积;
(2)?记直线BM,BP的斜率分别为k,k,求证:k?k为定值; 1122
,,,,,,,,,yPBPM, ?求的取值范围(
B
M
OFx
C
lP
(第18题图)
19((本小题满分16分)
1*n,1 已知数列满足:,,,. n,Napq,,Raapnq,,,,3,,a,n1nn,12
(1)若,且数列为等比数列,求的值; aq,0p,,n
(2)若,且为数列的最小项,求的取值范围. ap,1aq,,n4
20((本小题满分16分)
x 已知函数(a?R),为自然对数的底数( efxxaxa()e(21),,,,
(1) 当a,1时,求函数的单调区间; fx()
(2) ?若存在实数,满足,求实数的取值范围; fx()0,xa
?若有且只有唯一整数,满足,求实数的取值范围( axfx()0,00
范文五:苏州高三语文一模
2012~2013学?年度苏锡常?镇四市高三?教学情况调?研(一)
语 文 ? 2013(3 一、语言文字运?用(15分)
1. 下列词语中?加点的字,每对读音都?不相同的一?组是(3分) (((((
A. 泥淖/绰约 股肱/女红 偌大/一诺千金 ((((((
B. 汲取/秘笈 湮没/模样 斐然/流言蜚语 ((((((
C. 绽放/积淀 埋怨/叶脉 杳然/纷至沓来 ((((((
D. 搭讪/籼米 露怯/绿林 自诩/栩栩如生 ((((((
2. 下列各句中?,没有语病的?一句是(3分) A. 面对餐饮业?的寒潮,我们要根据?市场变化,努力创新经?营思路,积极开展外?卖业务,
菜品结构合?理调整,以促进消费?。
B(参加晚宴的?客人除了瑞?典的王室成?员、政府要员、诺贝尔奖得?主所在国的?大使及夫
人?外,还有诺贝尔?基金会邀请?的重要客人?也会参加。
C(支持异地高?考者认为,突破户籍制?度的桎梏,实行高考同?等待遇,将实现更公?平、
更合理的教?育资源,是“有教无类”的理想写照?。
D(继摘得20?06年“中国人居环?境范例奖”后,同里古镇保?护工程又荣?获2012?年联合
国人?居署“迪拜国际改?善居住环境?最佳范例奖?”中的“全球良好范?例”称号。 3. 根据下面材?料,用一句话概?括什么是“细节”。(不超过30?个字)(4分)
材料一:1912年?4月10日?~“泰坦尼克”号游轮启航?后~船员突然发?现船上唯一?的望远镜锁?在坚固的工?具箱里~而钥匙却不?在船上。船员们未加?重视~他们认为没?有望远镜不?会对航行产?生多大影响?。然而~黑夜来临后?~当船员突然?发现前方出?现一个庞然?大物时~巨大的游轮?想转向已经?来不及了~一头撞向了?冰山~造成152?2人丧生。
材料二:台湾有一位?博士~在意大利某?名牌鞋店买?鞋。最合脚的尺?码已经卖完?了~就选了一双?小一号的~但有一点紧?。他想~反正鞋子穿?穿会松的~于是要掏钱?买。可售货员拒?绝卖给他~理由是:“顾客试穿时?表情不对劲?~我不能将顾?客买了会后?悔的鞋子卖?出去。”优质的服务?~使这家名牌?店声誉大增?。
4. 仿照下面的?示例,另选话题,写一段话,要求使用的?修辞手法和?句式与示例?相同。(5分)
书籍是全世?界的营养品?。生活里没有?书籍~就好像没有?阳光,智慧里没有?书籍~就好像鸟儿?没有翅膀。
高三语文 第1页(共6页)
二、文言文阅读?(19分)
阅读下面的?文言文,完成5,8题。
宜城县开国?伯柳公行状?
柳宗元
公字惟深~其先河东人?。公应机能断?而遇节必立?。年十余岁~有称神巫来?告曰:“若相法当夭?且贱~幸而为释~可以缓而死?耳~位禄非若事?也。”公诸父素加?抚爱~尤所信异~遽命夺去其?业~从巫之言也?。公不可~且曰:“夫性命之理?~圣人所罕言?~缙绅者所不?道~巫何为而能?尽之也,且令从之而?生~去圣人之教?而为异术~不若速死之?愈也。”
开元中~举汝州进士?~计偕百数~公为之冠。江南西道连?帅闻其名~辟至公府。以信州都邑?~人罹凶害~靡弊残耗~假守永丰令?。公于是用重?典以威奸暴?~溥太和以惠?鳏嫠~(
殴除物害~消去人隐~吏无招权乾?没之患~政无犯令尨?茸之蠹~宰制听断~渐于讼息。耕(夫复于封?疆~商旅交于关?市。既庶而富~廉耻兴焉,既富而教~庠塾列焉。
泾卒之乱~公以变起卒?遽~尽室奔匿于?终南山。贼徒访公所?在~追以相印。既及公而问?焉~公变名氏以?绐之~捐家属以委?贼遂执公爱之。?子~榜棰讯问~折其右肱~而公不之顾?。即步入穷谷?~披草径~逾秦岭~由褒骆朝于?行宫。上嘉其诚节?~不时召见。公顿首流涕?~累陈计画。贼平策勋~赐轻车都尉?~封宜城县开?国伯~拜尚书兵部?侍郎。是岁~盗据淮浒~方议讨戮~宰相以大理?评事李元平?者有名~以为才堪攘?寇~拜为汝州。群臣望声徇?利者皆曰德?举~公独慷慨言?于朝曰:“是夫喋喋~炫玉而贾石?者也。华而不实~异代同德~往且见获~何寇之攘,”时人不之信?也。未几~盗袭汝州~以元平归~凡百莫不嗟?服焉。
贞元五年二?月五日~薨于昌化里?。公累更重任?~禄秩之厚~布于宗姻~无一廛之土?以处其子孙?~无一亩之宫?以聚其族属?。有一于此~尚宜旌褒~矧兹备体~焉可以已:固当饰以荣?号~章示后来。
,选自《柳宗元文集?》~有删改, 5(对下列句子?中加点词的?解释,不正确的一?项是(3分) (((((
A(遽命夺去其?业 夺:改变。
B(人罹凶害 罹:遭受。 (
C(渐于讼息 息:停止。 (
D(无一廛之土?以处其子孙? 处:与……相处。
6(下列句子中?,全都表现柳?公“应机能断”的一组是(3分)
?缙绅者所不?道,巫何为而能?尽之也
?去圣人之教?而为异术,不若速死之?愈也
?计偕百数,公为之冠
?是夫喋喋,炫玉而贾石?者也
?往且见获,何寇之攘
?公累更重任?,禄秩之厚,布于宗姻
A(??? B(??? C(??? D(???
高三语文 第2页(共6页)
7(下列对原文?有关内容的?概括和分析?,不正确的一?项是(3分) (((((
A(有一个自称?神巫的人给?年少的柳惟?深看相,认为他会早?死,并且享不了?高官厚禄,
解决的办法?就是出家为?僧。
B(柳惟深代理?永丰县令时?,采用严刑峻?法打击奸恶?横暴势力,并且出台宽?和政策救助?
无依无靠的?人,百姓富裕,教化得以推?行。
C(泾州士卒发?生叛乱,柳公带着全?家藏匿进终?南山,贼徒用相印?来引诱他,他不为所
动?,受到严刑拷?打,也不屈服。
D(柳公善于识?人,当群臣都认?为宰相为朝?廷举荐的攘?寇之人很得?当时,只有他认为?不
合适,后来事实果?然如他所料?。
8(把文中画线?的句子翻译?成现代汉语?。(10分)
?既及公而问?焉,公变名氏以?绐之,捐家属以委?之。(4分)
?公顿首流涕?,累陈计画。(3分)
?固当饰以荣?号,章示后来。(3分)
三、古诗词鉴赏?(10分)
9(阅读下面这?首宋词,然后回答问?题。
鹧鸪天?送叶梦锡
陆 游
家住东吴近?帝乡, 平生豪举少?年场。十千沽酒青?楼上, 百万呼卢锦?瑟傍。
身易老, 恨难忘, 尊前赢得是?凄凉。君归为报京?华旧, 一事无成两?鬓霜。 ,注,呼卢:古代一种博?戏。锦瑟:琴之美称,此处代指歌?女。
(1)上阕中“十千”和“百万”两词有何妙?处,(2分)
(2)词人说“恨难忘”,他有什么难?忘之恨,(4分)
(3)这首词最主?要的表现手?法是什么,请简要分析?。(4分)
四、名句名篇默?写(8分)
10(补写出下列?名句名篇中?的空缺部分?。
(1) ?????????,闻之者足以?戒。(《诗经》)
(2) 困于心, ?????????,而后作。(《孟子》)
(3) ?????????,潦倒新停浊?酒杯。(杜甫《登高》)
(4) ?????????,江月年年只?相似。(张若虚《春江花月夜?》)
(5) 今年欢笑复?明年, ?????????。弟走从军阿?姨死, ?????????。
(白居易《琵琶行》)
高三语文 第3页(共6页)
(6) ?????????,未云何龙,(杜牧《阿房宫赋》)
(7) 锦帽貂裘, ?????????。(苏轼《江城子》)
五、现代文阅读?:文学类文本?(20分)
阅读下面的?作品,完成11,14题。
英雄的舞蹈?
路 翎
在两条澄碧?的、细瘦的、美丽的小河?像亲爱的姊?妹一般地会?合的地方~有一座小的?村镇。它总共不到?两百户人家?~然而~中国应有的?东西~它都有了。在很长的一?段时期里面?~可爱的、和善的居民?们~是生活在一?种非常古旧?的英雄的气?氛中~而且厉害地?激动着。这种气氛~是从镇上的?一座茶馆里?散发出来的?。天黑下来的?时候~一只蜡烛亮?了~有名的说书?人张小赖~爬上了高台?。
“今天~我们来说华?容道~关公知恩放?曹操:”张小赖用神?秘的、轻微的声音?说~拍了一下惊?堂木。
但他的听众?只有往常的?一半。同时斜对面?的茶馆里男?人装做女人?的声音突然?地叫起来了?。他寒颤了一?下~望着街上的?摊子上的、阴雨里的凄?迷的灯光。他看见有人?冒着雨从他?这边向对面?跑去了。
在寂静中~听到雨落在?瓦上的清晰?的声音~斜对面的甜?甜的胡琴的?声音~和男人装做?女人的尖厉?的、淫荡的歌声?:“哎呀呀~我的心:”
“曹操心中一?想:”高台上的那?个精灵~突然地缩下?去了~那一块木头?猛力地击在?桌子上,然而~这假做的精?灵的衰弱的?人的心~却瞥见了~他的听众们?~有些涣散~有的在谈话?~有的在听着?斜对面而笑?着。突然地他觉?得有一阵眩?晕~他听见对面?的歌声唱:“摸一下幺妹?的手呀~幺妹生得乖?:”
他呆住了。同时他觉得?手脚发冷~“不好:”他想。忽然地周围?的一切都变?得模糊了。
“喂~张小赖~曹操啷个的?呀:”酒馆的肥胖?的老板喊。
张小赖突然?地惊觉~发着颤~不顾一切地?叫了起来~叫喊着曹操?、关公、青龙偃月刀?、大火和参天?的古树。但酒馆的老?板~却摇摆着走?了出去了。跟着来的一?种极端的、奇特的欢笑?~使张小赖发?狂了。他吸引了几?对紧张的视?线了~这使他陶醉?起来~并觉得自己?已经从那个?失望~那些可怕的?印象得到了?解放——他愤怒、欢笑而发狂?~和这个失望?做着殊死的?搏斗~而胜利了。
精瘦的、可怕的魔鬼?在高台上嘶?喊~跳跃。他要唤回那?些古代的英?雄们来~以与现在的?生命、丑恶、失望抗衡~这些古代的?崇高的英雄?们一个一个?地回来了~使这间茶馆?~使那些简单?的年轻人严?肃而激动。但这神圣的?瞬间迅速地?消逝~突然间可怜?的张小赖语?无伦次了。
“不是吹的话?~要是生在几?百年前~我还不是一?个吕布:”
高三语文 第4页(共6页)
他说~站在高台上?~举着手~“兄弟我有一?手魔法~不是吹的话?~”他拼命地~愤怒地叫~“十八般武艺?件件精通:”于是他耸起?肩膀~鼓起嘴来~弯着腰~向空中拚命?地吹着气。他听见了歌?声、胡琴声、笑声~他歪着头轻?蔑地倾听。“啊~杀啊:”
他喊。
台下的人们?~有趣地笑起?来了。他的嘶哑的?大声使得很?多人从街上?跑过来了~于是茶馆里?就挤满了人?。那些简单的?人们~把一切都认?为是有趣~当然的~不觉得这里?面有什么特?别的东西~快乐地哄笑?着。
精赤的、狂热的张小?赖突然地就?唱起来~并且打起拳?来。
随后他跳了?下来拾起了?地上的一根?竹棍——他在台上挥?舞起竹棍来?了。
他觉得窒闷?~可怕的窒闷?~于是拚命地?叫喊了一声?。这叫喊引来?了无数的人?~他听见对面?的胡琴声和?歌声停止了?——它们被他征?服了。然而这窒闷?继续强大~他又叫喊了?两声~并且拚死命?地舞着竹棍?。忽然地觉得?他心里的什?么东西碎裂?了。
他大叫一声?扑翻了条桌?~跌在地上了?。茶馆里腾起?了一阵惊异?的、失望的喊声?~有挤动和茶?杯碎裂的声?音。然后是突然?地寂静。
“死了。”一个苍老的?、严肃、安静的声音?~在寂静中说?。
一九四五年?七月九日 11. 小说第一段?有什么作用?,请简要说明?。(4分)
12. 文中画线句?,对小说情节?的发展有什?么作用,请具体说明?。(4分) 13. 张小赖的疯?和死说明了?什么,请简要分析?。(6分)
14. 试探究题目?中的“英雄”在小说中的?多重含义。(6分)
六、现代文阅读?:实用类文本?(18分)
阅读下面的?文字,完成15,17题。
江南士子夏?完淳
丁 帆
很小就在明?故宫一带玩?耍~但那时不知?道午朝门乃?皇恩赐死之?地。1647年?10月16?日~就在无尽的?甬道旁~走来了三十?四名即将被?推出午门斩?首的反清复?明的儒生~这一群人均?着明装~长铐脚镣~一个个怒目?横眉~无半点惧色?。其中有位最?年轻的白面?书生~更是从容不?迫地含笑赴?义~他就是名扬?一时而又被?后人渐渐淡?忘的十六岁?的松江才子?夏完淳。
在夏完淳短?暂的一生当?中~其诗文的天?才并没得到?充分的发挥?。在短命的南?明王朝即将?覆灭之际~夏完淳把主?要精力都投?入到了抗清?复明的斗争?中。民族危亡之?际~他舍弃了学?业投身抗清?大业~可见其气节?之一斑。
夏完淳人格?大树的长成?与其天然的?生长环境是?分不开的。他在临刑前?能从容以赴?~是与其家学?师道不可分?割的。据说和夏完?淳一起就义?的还有他的?岳父江南文?社领袖钱栴?。他俩共赴黄?泉时的一段?对话~则足可洞见?夏完淳的人?格魅力和文?化修养之高?尚。岳父钱栴问?
高三语文 第5页(共6页)
之:“子年少~何为亦求死?,”答曰:“宁为袁粲死?~不作褚渊生?~丈人何相待?之薄耶!”正是这种人?格正气将夏?完淳的诗文?提升到那种?大气磅礴的?境界中去。
夏完淳的父?亲就是夏允?彝~是复社的领?袖人物。其身传言教?对夏完淳的?影响极大~尤其是他用?自己的鲜血?和头颅所抒?写的辉煌人?格篇章~为夏完淳作?出了楷模和?榜样。夏允彝生前?为夏完淳选?择的导师也?是十分注重?名节和气质?的江南名士?。
夏完淳十四?岁就随父从?军~征战于太湖?地区。父亲殉国后?~他又投身于?明兵部职方?主事吴易的?太湖义师帐?下任参谋~屡屡征战建?功。后夏完淳从?军中失散~吴易被捕后?壮烈殉国。这段历史同?样是夏完淳?刻骨铭心的?人格锻打。可以说~正是在这些?腥风血雨的?战斗生活中?锤炼和铸造?了夏完淳那?颗不屈的灵?魂。
夏完淳被捕?后~在南京大骂?投降清廷的?前明崇祯兵?部尚书洪承?畴~其时~洪承畴坐镇?南京~帮助清廷总?督军务~此举自然是?惹怒了他。大多数的江?南士子~虽有性情柔?弱的一面~然而在大是?大非的原则?面前~却表现了他?们刚烈坚毅?性格的另一?面。夏完淳正是?这样~以短暂的人?生抒写了人?性价值的高?亢音符。
夏完淳的诗?歌创作顶峰?当然是关押?在南京监狱?中所作。这部分诗篇?《南冠被他自题为?草》。无情未必真?豪杰~夏完淳在狱?中所写诗中?~有一部分是?怀念母亲和?家人、爱妻的~但更多的是?表现了夏完?淳效死国家?的人格魅力?。一个十六岁?花季的少年?~缘何能够克?服亲情的牵?扯和情窦初?开的诱惑~一心报效社?稷呢?我想~江南士子在?晚明时代所?表现出的群?体人格效应?是深深影响?夏完淳的重?要因素。
15. 夏完淳人格?形成与哪些?因素有关,请简要概括?。(6分)
16. 夏完淳的“气节”具体表现在?哪些方面,(6分)
17. 结合全文,请对夏完淳?作简要评价?。(6分)
七、作文(70分)
18(阅读下面的?材料,根据要求写?一篇不少于?800字的?文章。
两个台湾观?光团到伊豆?半岛旅游。路况很坏~到处都是坑?洞。一位导游连?声说:“路面简直像?麻子一样~让大家受累?了。”另一个导游?却诗意盎然?地对游客说?:“我们现在走?的正是赫赫?有名的伊豆?迷人酒窝大?道~请大家快乐?地体验它的?与众不同吧?:”
要求选好角?度,确定立意,明确文体,自拟标题;不要脱离材?料内容及含?意的范围作?文,不要套作,不得抄袭。
高三语文 第6页(共6页)
转载请注明出处范文大全网 » 2014苏州高三英语一模
,>