南京市2008―2009学年度第一学期期末调研测试卷
高 一 英 语
本试卷分第一卷(选择题)和第二卷(非选择题)两部分，满分100分，考试用时100
分钟。注意事项：
答题前考生务必将学校、姓名、班级、学号写在答卷纸的密封线内。每题答案均写在答卷纸上对应题目的答案空格里，不写在试卷上。考试结束，请将答卷纸交回。
第一卷(三部分，共69分)
第一部分 听力(共两节，满分15分)
做题时，先将答案标在试卷上。录音内容结束后，你将有两分钟的时间将试卷上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秒钟的时问来回答有关小题和阅读下一小题。每段对话仅读一遍。
1．What will the woman probably do? ( )
A．Stop talking． B．Turn up the radio． C．Turn down the music．
2．What is the man doing? ( )
A．He is looking for a bus stop．
B．He is selling fruit．
C．He is going to a fruit shop．
3．What does the woman mean? ( )
A．She has already been to the concert．
B．Betty is taking her to the concert．
C．The man could probably go with Betty．
4．Why does the
A．She has a new job． B．She needs help C．She has finished school
5．Where is the woman’s mother now? ( )
A．At home． B．In hospital． C．At work
第二节(共10小题；每小题1分，满分10分)
听下面4段对话或独自。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。听每段对话或独自前，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。每段对话或独自读两遍。
听第6段材料，回答6至7题。
6．What does the man need? ( )
A．A taxi． B．A timetable． C．A bag．
7．When will the man leave home? ( )
A．2：30． B．3：00． C．3：30．
听第7段材料，回答8至l0题。
8．Where will they
stay in
A．At a hotel． B．At a friend’s house． C．In a car．
9．What’s the climate like? ( )
A．Cold and sunny． B．Warm and rainy． C．Cold and rain
10．When will they probably leave? ( )
A．At 8：
听第8段材料，回答11至12题。
11．How many places has the woman been to? ( )
A．Three． B．Four． C．Five．
12．In which season does the woman go on holiday? ( )
A．In autumn． B．In summer． C．In spring．
听第9段材料，回答13至15题。
13．What were the family going to do? ( )
A．To spend their holiday．
B．To see their friend．
C．To buy some food
1 4．How would they go to the countryside? ( )
A．By train． B．By car． C．On foot．
15．Why did Mrs. Smith move the clocks and watches ahead? ( )
A．She wanted to surprise her husband．
B．She didn’t want to be late．
C．She always did So．
第二部分英语语言知识运用(共两节；满分30分)
第一节单项填空(共15小题；每小题1分，满分15分)
从A、B、GD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。
16．If you don’t like the subjects your teachers suggest, you can some of them．
A．enjoy B．drop C．1eave D．consider
17．―Eric, the money with which you were to buy dog food ．
A．has gone B．has missed C．is missed D．is gone
18．Alice said the aliens took her away so that they could do research her．
A．about B．for C．on D．with
19．You have to wear special clothing，a helmet and a life jacket，just your raft gets upside down or sinks．
A．in case B．so that C．as though D．in order that
20．Then，a few months after Carter had opened the tomb，Lord Carnarvon ill with a fever and died in Egypt．
A．fell B．stayed C．sounded D．seemed
21．That is the most beautiful building I visited 1ast year．
A．where B．不填 C．which D．to which
22．He was educated at a local school, he went on to Cambridge University．
A．from which B．after that C．after which D．form that
23．―Ring me at
―No，not that early! I ．
A．sleep B．will sleep C．am sleeping D．will be sleeping
24．The students busily when Mr. Smith went to get some paper he in the office．
A．had written；left B．were writing；has left
C．had written；had left D．were writing；had left
25．Her health broke down under the of work and she had to stay in hospital for a month．
A．measure B．pressure C．damage D．effect
26．The increasing number of the students makes the limited computers not to each student．
A．useful B．hopeful C．available D．suitable
27．There are two universities for you to choose from．Which one would you like to ?
A．join B．join in C．take part in D．attend
28．―Have they found out the reason that caused the traffic accident the other day?
―No．the police are now it．
A．looking for B．looking into C．looking up D．looking on
29．―You’ve known
,since we were babies．
A．Usually B．Finally C．Actually D．Luckily
30．―Do you mind my taking this seat?
A．No．of course not B．Yes，sit down，please
C．Yes，take it，please D．No，you can’t take it
第二节完形填空(共15小题；每小题1分，满分15分)
阅读下面短文，掌握其大意，然后从31―45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。
Stephen Hawking was born in Oxford，England on 8th January，1942．He went to school in St Albans―a small city near London． 31 he did well，he was never top of his class．After 32 school，Hawking went first to Oxford University， 33 he studied Physics，and then he went to Cambridge University to study cosmology．As he himself admits，he wasn’t very serious about studying．He was a very 1azv student，and did very little work．However，he still 34 good marks．
It was at the age of twenty 35 Hawking first noticed that something went wrong with him．He started to bump into(碰撞)things，and once or twice 36 over for no reason．When he visited his 37 at Christmas time，his father was so worried that he made him see a doctor．Hawking was sent to hospital for tests.
Finally，the 38 came back．Hawking had motor neuron disease，an illness which 39 the muscles of the body to waste away．Doctors said he would die before he was twenty three．
At first，Hawking became very
depressed(沮丧的)．After a while，though，he began to see
his
Today，Hawking still works at Cambridge University．He strongly believes that his story shows that nobody， 44 had their condition is，should lose 45 ．
“Life is not fair，”he once said，“You just have to do the best you can in your situation．”
31．A．Because B．Although C．As D．Unless
32．A．1eaving B．graduating C．visiting D．going
33．A．which B．where C．that D．there
34．A．forgot B．missed C．achieved D．wanted
35．A．when B．at which C．what D．that
36．A．fell B．came C．got D．took
37．A．friends B．classmates C．teacher D．family
38．A．news B．results C．doctors D．parents
39．A．helped B．made C．caused D．prevented
40．A．1ife B．illness C．study D．work
41．A．bored B．happy C．satisfied D．angry
42．A．doing B．waiting C．getting D．crying
43．A．on B．away C．down D，out
44．A．whatever B．however C．whenever D．wherever
45．A．marks B．games C．hope D．interest
第三部分阅读理解(共12小题；每小题2分，满分24分)
第一节阅读下列短文，从每题所给的四个选项(A、B、c~11D)0p，选出最佳选项，并在答题卡上将该项涂黑。
Travel is fun and exciting，but it’s not if you get sick. You may think，“Not me,1 won’t get sick on my vacation．”But for many people，that is what happens．Of course you don’t want to spend your vacation sick in bed．So what can you do to stay in good health? There are three things you should remember when you travel：relax，sleep，and eat well．
A vacation is supposed to be a time for relaxing．But very often it is not．Think about what you do when you are a tourist．There are so many places to visit：museums，shops，parks，and churches．You may spend most days walking around these places．You may be very tired．Your feet may hurt and you may have a terrible headache after a few hours．If this is the way you feel，you should take a rest．Don’t ask your body to do too much．A tired body means a weak body．And a weak body gets sick easily．So sit down for a few hours in a nice spot．In good weather，look for a quiet park bench or you can stop at a care．You can learn a lot by watching people while you rest．
Sleep is also Important．If you want to stay healthy，you need to get enough sleep．You may have trouble sleeping at night when you travel．Your hotel room may be noisy or the bed may be uncomfortable．If this is true，don't be afraid to change rooms or hotels，or you may not get enough sleep．You may want to stay out late at night．In many cities the nightlife can be very exciting Then you should plan to sleep for an hour during the day．That extra hour can make a big difference．
Finally，if you want to stay healthy，you must eat well．That means eating the right kinds of food．Your body needs fresh fruits and vegetables，and some meat，milk or cheese．When you are in a new country，you may want to try new food but you need to be careful about how much you eat．Lots of rich food is not good for you．
So，remember this：if you want to enjoy your vacation，take good care of yourself．Give your body some rest．Get enough sleep and eat good，healthy food．
46?This passage is mainly about ．
A．what to eat when you travel
B．how exciting travel is
C．relaxing when you travel
D．how to stay healthy when you travel
47．Traveling around can be ．
A．the best way to relax B．very tiring
C．no fun D．unhealthy
48．It’s a good idea to when traveling
A．spend every night in hotels B．change hotels
C．get some rest every day D．try lots of rich food
49Accordding t。the passage，you can get to know the 1ocal people by ．
A．going to the shops B．visiting their homes
C．talking to them D．watching them
Read the following，which is the information about a book that appears on a library computer screen．
50．This book is ．
A．a collection of photos B．a collection of space news
C．written for grown―ups D．written for children
51．This book will most likely tell you ．
A．how astronauts are trained
B．how astronauts travel on a space shuttle
C．what a space shuttle is like
D．about the way a space shuttle is built
52．The book is ．
A．borrowed by someone B．on the bookshelf
C．to be sold D．to be published
53．If you want to find other books by the author，you will look under ．
A．Lothrop，Lee B．Sheppard C C．Ride，Sally D．Challenger
C
To tell you the truth，I used to be a very superstitious(迷信的)person and believe in ghosts There was a list of things that didn’t seem proper for a person of my education to believe in．One day，however, I was totally changed through my personal experience with a‘ghost’．
It was last year that I visited my friends Keith and Alice who had bought an old house in the country．They told me that they bought it because it was haunted(闹鬼的)．They found some‘ghosts’living there．It sounded SO frightening and exciting that I decided to call on them and have a look at the living‘ghosts’．
It was a good―looking house and didn’t seem much different from the nearby houses．We had a very pleasant meal together．While＼re were sitting around a warm fire in the sitting room，I asked Keith to tell me more about the haunted house．
“Did you ever come across any‘ghosts’yourself?”I asked．
“Oh，yes，”he replied．“I saw one moving about the other day―an old lady．She came down the stairs when I was coming into the hall to make a telephone call．”I felt my heart beating
faster．“It’s quite true，” he went on．“She wore a large hat，so I couldn’t make out her face．But it’s her hands that I remember，anyway．I saw her hands swinging．They were ghostly white!”
We chatted a little longer and after that，at about midnight，1 went up to my room．I searched my room for any traces of ghosts but failed．Then t fell asleep at once．In my dream I saw a lady ‘ghost’moving up to me with her white hands swinging．So I woke up．I 1ooked at my watch―it was 2：00 AM．Out of the window I saw the moon and I heard the clock in the corner of the room ticking away slowly but clearly．
Suddenly I saw it! There，at the bottom of the bed，was a ghostly white hand! Immediately，I caught hold of a heavy lamp from the table near the bed and threw it with a11 my strength at the hand．Then I heard myself screaming with pain．It was not a hand at a11．It was my own foot!
And my old belief has gone with that pain forever !
54．From the first paragraph，we can infer that ．
A．the writer didn’t have any education
B．the writer had good education
C．the writer was 0liCe educated to believe in ghosts
D．the writer taught himself
55．Why did the writer’s friends buy the house． ．
A．Because it was in the country．
B．Because it was good―looking and matched the other houses
C．Because it had‘ghosts’living there．
D．Because they could have pleasant meals there．
56．What was Keith doing when he saw the ghost lady? ．
A．He was making a telephone call．
B．He was walking into the hall．
C．He was moving about in the hall．
D．He was coming down the stairs．
57．According to the writer，where was the‘ghost’? ．
A．At the bottom。f his bed． B．In the corner of his room
C．0n the table near the bed． D．Out of the window?
第二卷(两部分，共31分)
第四部分任务型阅读(共10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后表格中的空格里填八最恰当的单词。注意：每空格1个单词。
Nine-year-old Barrack Obama was looking through a magazine．But the African-American boy was shocked by some photos．The pictures were of black man who destroyed his skin with chemicals that promised to make him white．For the first time，the boy began to doubt(怀疑)who he was．‘I stood in front of the mirror and wondered if something was wrong with me，’Obama said．
However，now，the boy who used to struggle with his identity(身份)doesn't see it as a problem any more，but an advantage for his success．A few weeks ago, Obama made history by being elected as the first black president of the United States．
Obama’s story starts in another corner of the world．His white mother was born in the heartland of the US．His black father grew up in a Village in Kenya．They met during college in Hawaii, but his father left the family when Obama was Just two years old and his mother moved to Indonesia．
At 10，Obama moved back to live with his white grandparents in Hawaii, where his sense that he didn’t belong grew．At his class，a white boy asked Obama if his father ate people．Out of embarrassment，Obama lied to his classmates that he father was a prince(王子)．‘I kept asking who I am and I ended up trying dugs and drinking，’Obama remembered．
Things came to change after the young man made friends
with those who had a similar background at college．Their experiences
back in
African identity．He worked hard to become a star at Harvard Law School and the third black senator(参议员)in US history．
At first，few people supported Obama．Many doubted his unusual background，which left him neither‘black’enough nor‘white’enough．
But Obama’s pains of growing up made Americans believe：‘There is not a black America and a white America…．There is the United States of America．’
History has arrived―A great (58) ▲ has come true
第五部分写作(共两节，满分21分)
第一节单词填空(共6小题；每小题1分，满分6分)
根据下列句子及所给的汉语注释，写出空缺处各单词的jE确形式。(每空一词)
68．New scientific ▲ (发现)are being made every day．
69．The job is ▲ (累人的)，but the pay is good．
70．Police wanted to know if anyone ▲ (目击)the traffic accident．
71．I wasn’t ▲ (通知)of the decision until too late．
72．We promise not to let anyone who breaks the law go ▲ (免受惩罚的) ．
73．You’d better avoid food ▲ (包含)fat so that you can keep slim．
第二节书面表达(满分15分)
假设你是李华，学完Amazing people这一单元后，你的英语老师请你写一篇短文，谈谈你心目中的偶像。请根据以下内容提示，适当发挥，完成这篇短文，并用email发给他。
内容要点：
1．不同的人心目中有不同的偶像；
2．我认为爸爸是我的偶像；
3．他每天辛勤工作，还要照顾生病的妈妈；
4．他常到敬老院帮助老人；
5．四川地震后，他积极捐款。
注意：文章的开头与结尾已给出，不记入总词数。
偶像：idol 敬老院：home for the elderly 词数：i00词左右
Dear Sir，
How are you? You asked us to write about our idols．Different people……
So，don’t you think my dad is my idol?
Regards，
Li Hua
南京市2008―2009学年度第一学期期末调研测试卷
高一英语听力录音稿 2009．01
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1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。
Text 1
M：Look，I'm sorry to trouble you about this，but that music is realiv loud．
W：I didn’t realize you could hear it．
Text 2
M：Which is the way to the fruit shop，please?
W：Sorry，I don’t know．Please ask the old man Over there．He may know it
Text 3
M：Could I get a ride with you to the concert tonight?
W：I can’t go，but you might ask Betty．I think she’s leaving around 7：30
Text 4
M：Will you please give this note to Mary? She needs help．
W：What’s the matter?
M：Her father’s ill and she wants to leave sch001．
Text 5
M：How is your mother feeling these days?
W：Much better．Thanks．She should he coming home in a few days．The operation was a success and the doctors say she’ll recover in no time．
第二节(共10小题；每小题1分，满分10分)
听下面4段对话或独自。每段对话或独自后有几个小题，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。听每段对话或独自前，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。每段对话或独自读两遍。
听第六段材料，回答6至7题。
M：Hello．Is this the Green Taxi Service7
W：Yes，it is． 、
M：I need a taxi to the train station，口lease．
W：What time do you need a taxi，sir?
M： My train}eaves at 4：30 this afternoon，but I’d 1ike to arrive at the station no later than 3．30。
How long is the ride from here?
W：From here? Where do you live?
M：Oh，I’m sorry．I live at 447 Mile End Street．
W：Let me see一447 Mile End―I’d say that it would take about 30 minutes．We will pick you up at 3：00．Is it Okay with you?
M：Yes，that’11 be fine．The driver will help me with my bags，won’t he?
W：Yes．the driver is a young man．He’11 help you．
听第7段材料，回答8至10题。
M：How would you like to come to New York with me over the Spring Break，Julia?
W：I’d love to，John．But where shall we stay?
M：At a friend’s house．I always stay with him and there’s room for you，too．
W：0K．He won’t mind?
M：Of course not．He’s looking forward to meeting you．
W：Will we drive to
M：Yes．It takes about six hours．We can leave at noon and get there by supper time．
W：What’s the climate like?
M：It may be cold and rainy．Better bring a jacket and good walking shoes．
W：Well，when do we leave?
M：How about Thursday? Can you be ready by noon?
W：N0 problem．
听第8段材料，回答11至12题。
M：Have you ever
been to
W：Oh，yes．
M：Where have you been?
W：Well，and we’ve been to England，Scotland and Ireland．We always go in sulnliler because
the weather is better．
M：Yes，but there are more tourists．
W：Yes，that’s right．But it’s the same in every country．
听第9段材料，回答13至15题。
Mr. and Mrs. Smith and their children were going to spend their holiday in the country．They
had to be at the railway
station before 11：
ready by 11
南京市2008―2009学年度第一学期期末调研测试卷
理科2009届高三强化训练（四）综合能力测试更正
第30题（20分）
Ⅰ．（11分）下列是有关植物矿质代谢的研究：
（1）将番茄植株培养在完全营养液中一段时间后，发现镁的浓度有所提高，钙的浓度有所降低，主要原因是： ；
（2）提供42K及相关的实验器材，利用溶液培养法证明钾是植物可以移动（反复利用）的元素，写出其主要实验步骤及实验原理。
实验步骤：
实验原理：
Ⅱ．（9分）动物腺体功能的研究---甲状腺分泌甲状腺激素能影响代谢、生长发育、神经系统的发育及功能，动物体内促甲状腺激素与甲状腺激素之间存在着反馈调节，从而维持血液中的甲状腺激素含量的相对稳定。
碘是合成甲状腺激素的原料。正常情况下，动物体吸收的碘（131I）会在甲状腺中浓集。有人用兔子做实验记录结果如下图所示：
以下为实验步骤，请补充完整并进行分析：
第一步：
第二步：分别注射等量且适量的含131I的注射液，（过量引起甲亢）
第三步：定时测定每组兔子甲状腺的放射量。
第四步：4天后第2次进行等量的注射：
A组注射 ,B组注射 , C组注射 ；
（选择A.生理盐水、B.促甲状腺激素、C.无放射性的甲状腺激素）
第五步：定时测定各组兔子甲状腺的放射量。
分析：第二次注射后：
A组兔子与C组兔子相比：A组兔子的甲状腺放射量下降的速率慢，原因
是 ；
该实验说明： 。
答案及解析30.Ⅰ．（11分）
（1）植物吸收水分和吸收矿质元素是两个相对独立的过程，根细胞膜上运载镁离子和钙离子的载体数量不同（注：该答案能准确解释题干中镁和钙的浓度升、降的现象，也与教材中有关知识进行了链接）；
（2）实验步骤：第一步：用含42K的完全营养液培养植物；一段时间后，检测叶片的放射性：老叶、幼叶全部都有；第二步：再用缺K的完全营养液培养上述植物，一段时间后、检测老叶、幼叶的放射性。
实验原理：钾进入植物体后呈离子状态，因此容易转移，一旦缺乏，老叶中的K可以转移到
幼叶，用含42K 营养液培养植物可以追踪到这一现象。
【解析】Ⅰ．
（1）溶液培养法是鉴别各种矿质元素是否为植物必需元素的主要方法。在完全营养液中，植物既吸收矿质元素，也吸收水，这是两个相对独立的过程。如果在单位时间内，植物对矿质元素的吸收量与对水分的吸收量不同，则可能导致某种矿质离子的浓度增加或降低。
（2）溶液培养法可以较好地控制植物根系吸收的物质组分,即对培养液添加或除去某种矿质元素, 培养一段时间后，观察植物的生长发育变化：成熟叶和幼叶是否表现正常或病态，从而判断是不是可再度利用元素。本实验通过对42K 进行追踪：老叶中的42K 是否转移到幼叶而得出结论。实验对照应为自身前后对照，实验原理应简要写出设计的理论依据及通过什么方法和观测指标达到什么目的。
Ⅱ．（9分）
第1步：选生长发育、体重等方面相同的兔子3只，分为A组、B组、C组；第4步：
A组：C(注射无放射性的甲状腺激素)，B组：B(注射促甲状腺激素)，C组：A(注射生理盐水)；
分析：注射甲状腺激素后，抑制了促甲状腺激素的合成和分泌，使甲状腺细胞利用131I合成和分泌甲状腺激素量减少，从而使甲状腺放射量下降的速率慢。
该实验说明：动物体内促甲状腺激素与甲状腺激素之间存在着反馈调节。
【解析】动物体内促甲状腺激素与甲状腺激素之间存在着反馈调节。
下丘脑中的一些细胞能合成并分泌促甲状腺激素释放激素，进而刺激垂体合成并分泌促甲状腺激素。促甲状腺激素又能刺激甲状腺合成并分泌甲状腺激素，从而促进新陈代谢。当血液中甲状腺激素的含量增加到一定程度时，就会抑制下丘脑和垂体的活动，使促甲状腺激素释放激素和促甲状腺激素的合成和分泌减少，从而使血液中甲状腺激素的含量不会过高。由此可见，甲状腺激素与促甲状腺激素释放激素、促甲状腺激素之间存在着反馈调节。
本实验重在分析实验记录结果（图示）：从图中给的信息进行分组；注意纵坐标是测
定甲状腺吸收的碘（131I）的浓集量，而不是血液中放射性甲状腺激素的量。在第一次注射放射性碘后的两天，图中曲线上升，是因为碘（131I）是合成甲状腺激素的原料，甲状腺细胞主动吸收了放射性碘（131I），故甲状腺的放射性上升；而2―4天内曲线下降，是因为甲状腺细胞利用放射性碘合成了甲状腺激素分泌到血液中，故甲状腺的放射性下降。第2次3组注射了不同的物质，因而3组甲状腺的放射性下降出现了差异。
新课程地区高三模拟考试理科综合（物理部分）（1）
本试题分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，共240分，考试时间150分钟。考试结束后，只收答题卡和第Ⅱ卷答题纸。答卷前，考生务必将自己的姓名、准考证号、考试科目涂写在答题卡上和答卷规定的地方。
第Ⅰ卷（必做，共88分）
注意事项：
1．每小题选出答案后，用2B铅笔把答题卡对应题目的答案标号涂黑。如需改动，用橡 皮擦干净后，再涂写其它答案标号。不涂答题卡，只答在试卷上不得分。
2．第Ⅰ卷共22小题，每小题4分，共88分。
本2008―2009学年度第一学期期末调研测试卷
高 一 语 文
注意事项：
答题前考生务必将学校、姓名、班级、学号写在答卷纸的密封线内。每题答案写在答卷纸上对应题目的答案的空格里或横线上。考试结束，请将答卷纸交回。
高三数学中档题专项训练（2）
1、【江苏?泰州】已知向量a＝（3sinα，cosα），b＝(2sinα, 5sinα－4cosα)，α∈（
），且a⊥b． （1）求tanα的值；（2）求cos(
)的值．
2、【江苏?南通】（本小题14分）
如图，在正三棱柱ABC－A1B
（1）求证：AD⊥平面BC C1 B1；
（2）设E是B
的值为多少时，
A1E∥平面ADC1？请给出证明．
3、(本题满分16分)有如下结论：“圆
上一点
处
的切线方程为
”，类比也有结论：“椭圆
处的切线方程为
”，过椭圆C：
的右准线l上任意一点M引椭圆C的两条切线，切点为 A、B.
（1）求证：直线AB恒过一定点；（2）当点M在的纵坐标为1时，求△ABM的面积
4、【江苏?淮、徐、宿、连】(本题满分16分)
已知函数f(x)=alnx+x2(a为实常数).(1)若a=－2，求证：函数f(x)在(1，+．∞)上是增函数；
(2)求函数f(x)在[1，e]上的最小值及相应的x值；
(3)若存在x∈[1，e]，使得f(x)≤(a+2)x成立，求实数a的取值范围.
1、【解】（1）∵a⊥b，∴a?b＝0．而a＝（3sinα，cosα），b＝(2sinα, 5sinα－4cosα)，
故a?b＝6sin2α＋5sinαcosα－4cos2α＝0．……………………………………2分
由于cosα≠0，∴6tan2α＋5tanα－4 ＝0．解之，得tanα＝－
，或tanα＝
．……6分
∵α∈（），tanα＜0，故tanα＝（舍去）．∴tanα＝－．…………7分
（2）∵α∈（），∴
．
由tanα＝－，求得
，
＝2（舍去）．
∴
，………………………………………12分
cos(
)＝
＝
＝
． ………………………14分
2、解: （1）在正三棱柱中，C C1⊥平面ABC，AD
平面ABC，
∴ AD⊥C C1．………………………2分
又AD⊥C1D，C C1交C1D于C1，且C C1和C1D都在面BC C1 B1内，
∴ AD⊥面BC C1 B1． ……………………………………………5分
（2）由（1），得AD⊥BC．在正三角形ABC中，D是BC的中点．…………7分
当
，即E为B
事实上，正三棱柱ABC－A1B
又B1B∥AA1，且B1B=AA1，
∴DE∥AA1，且DE=AA1． …………………………………………12分
所以四边形ADE A1为平行四边形，所以E A1∥AD．
而E A1
面AD C1内，故A1E∥平面AD C1． …………………………14分
3、【解】（1）设M
∵点M在MA上∴
①……………………3分
同理可得
②…………………………5分
由①②知AB的方程为
…………6分
易知右焦点F（
）满足③式，故AB恒过椭圆C的右焦点F（）……8分
（2）把AB的方程
∴
……………………12分
又M到AB的距离
∴△ABM的面积
……………………15分
4、【解】（1）当
时，
，当
，
，
故函数
在
上是增函数．………………………………………………4分
（2）
，当
，
．
若
，
在
上非负（仅当，x=1时，
），故函数在上是增函数，此时
． ……………………………………6分
若
，当
时，；当
时，
，此时
是减函数； 当
时，
，此时是增函数．故
．
若
，在上非正（仅当
，x=e时，），故函数在上是减函数，此时
．…………………………………8分
综上可知，当时，的最小值为1，相应的x值为1；当时，
的最小值为
，相应的x值为
；当时，的最小值为，
相应的x值为
．…………………………………………………………………10分
（3）不等式
， 可化为
．
∵, ∴
且等号不能同时取，所以
，即
，
因而
（）…………………………………………………………12分
令
（），又
，………………14分
当
时，
，
，
从而
（仅当x=1时取等号），所以
在上为增函数，
故的最小值为
，所以a的取值范围是
． ……………………16分
江苏省如皋市2009届高三第一次统一考试
语 文 试 卷
注意事项：
1．本试卷包括必做题和选做题，其中第六大题为选做题，其它题为必做题。满分为160分，考试时间为150分钟。
2．答题前，请务必将自己的姓名、考试证号等用书写黑色字迹的0.5毫米签字笔填写在答题纸密封线内。请认真核对规定填写的项目是否准确。
3．选择题答案用2 B铅笔填涂在答题卡上；主观题答案必须用书写黑色字迹的0.5毫米签字笔写在答题纸上的指定位置，在其它位置作答一律无效。考试结束后，请将答题卡与答题纸一并交回。