5．下列各句中，标点符号的使用合乎规范的一项是

A．有家长担心，“校长实名推荐制”会引发高校招生大战更加惨烈，一旦名校都通过这种方式揽才，这项制度不知还能走多远？

B．英国《每日快报》援引福里斯特的话报道：如果连续做两小时智力游戏，几乎可以抵消喝一瓶550毫升装啤酒所摄入的热量。(182卡路里)

C．“杂交水稻之父”袁隆平认为，要增产，不光要有良种，还要有良法和良田。“三良”配套才能实现亩产900公斤的目标；没有“三良”配套，要实现900公斤非常难。

D．记者采访发现，湖北省四位“北大推荐生”有着共同特点，成绩突出且非常均衡，学习主动性强；不“死擂”功课，业余生活丰富。

4．下列各句中，没有语病的一句是

A．黑龙江新兴矿难暴露出企业采掘布置不合理，井下现场管理和劳动组织混乱，超强度组织生产，通风系统复杂，抗灾能力弱，应急预案不完善等问题，是一起责任事故。

B．能否形成学术打假的独立力量，这种独立力量应该包括教育和司法体制内的上层执行力量以及体制外的民间力量，这才是决定学术打假成功的另一个关键。

C．近日，美国宇航局三大天文台观测到“蟹状星云”中的一颗中子星正在释放大量高能粒子，它的能量释放速率相当于太阳的10万倍以上。

D．王宝东抨击美中经济与安全审查委员会年复一年地抛出一些不实指控“旨在误导美国民众”。众所周知，中国的军费只是美国的很小一部分。

3．下列各句中，加点的词语使用不恰当的一句是

　 A．中国是世界上人口最多的发展中国家，世博会第一次在发展中国家举办，充分体现了世博会强大的生命力，也充分显示了国际展览局的远见卓识。

　 B．文字，大家太熟悉了，甚至有些司空见惯。仔细想来，文字应称得上是“宝中之宝”。

　 C．在美元低位震荡的背景下，市场预期人民币将小幅走升。但中国政府一再重申保持人民币汇率稳定，人民币未来走势更显得扑朔迷离，与美元和人民币两种货币密切关联的B股市场，走势也更加复杂。

　 D．白宫官员也坚称，奥巴马北京之行收获符合预期：和一个新兴经济巨人应礼尚往来。中国文明很古老，你到他家里大声嚷嚷，会有反效果。

2．下列词语中，没有错别字的一项是

　 A．班门弄斧　 一张一弛　　 百废俱兴　　 防微杜渐

　 B．如法炮制　 举止安详　　 世外桃源　　 过目成颂

　 C．改弦更章　 卑躬屈膝　　 循规蹈矩　　 开源节流

　 D．理屈词穷　 不加思索　　 陈词滥调　　 披肝沥胆

1．下列各组加点字的读音全都相同的一组是

　A．伺侯　　 饲养　　 祠堂　　 伺机而动

　 B．恐吓　　 荷载　　 喝彩　　 荷枪实弹

　 C．载体　　 转载　　 卸载　　 一年半载

　 D．葱茏　 　玲珑　　 笼统　　 得陇望蜀

Text1

(Wind noises) 录音时注意此处请加上有风吹的背景

W: Oh, God! I thought it was supposed to get warmer today.

M: I thought so, too. That’s what the weatherman said.

W: It must be the wind that makes it so cold. I’m freezing!

Text2

W: Is this where I catch the bus for the zoo？

M: You can take a T-30 from here, but then you have to walk six blocks.

W: That’s bad. I’m too tired. Maybe I should take a taxi.

Text3

M: One step left. Good! Look at the building and point to it. Great! Lift your head a bit, Fantastic!

W: Is it done?

M: Yes, perfectly! Wait for one minute and you’ll see the picture!

Text4

M: How was the job interview? I think you’ll make a good journalist. I remember you as the best writer in the class.

W: Well, in fact, my application was turned down. They were looking for people with experience in the profession.

Text5

W: Can you say something on the matter? You are the only person who knows what really happened.

M: That’s not quite true. Stan Bailey was there, too.

W: Oh. Was he?

M: Well, actually, he wasn’t there all the time, but still I think he can give something valuable in sight.

Text6

M: Where are you from?

W: The United States. I live in New York.

M: Oh, really? I think it’s a big city with a large population, right? By the way, do you like it?

W: Yeah. I think it’s the only place to live.

M: Why do you say that?

W: You see, there’s always something exciting to do, and it’s never boring.

M: My place isn’t boring, either, You can fish, hike, grow some flowers and vegetables – all kinds of things, if you like, though it’s small and quiet.

W: I guess so, especially here in New Zealand.

Text7

M: Are you quite independent of your parents now?

W: Yes, as soon as I left school and started my study as a nurse, I stopped asking my parent for money since I got financial support from the government, but I still stay with them a lot.

M: You seem very close to your parents?

W: I am. They never force me to do anything I didn’t want to do. What about you?

M: Well, I am also fond of my family, but I don’t always get on very well with them, they try to control me too much.

W: But they allow you to come to study in England on your own.

M: Yes, but only after a lot of persuasion. Your parents treat you as an adult, mine treat me as a child.

Text8

W: I saw you on the news last night, Jack. So tell us what happened?

M: Well, I was walking alone on the beach when I heard someone calling out for help. I looked up, and saw a little boy up on the cliff, stuck there.

W: What did you do then?

M: Well, my first thought was to run and get help, but the boy was crying, looking as if he would fall off the cliff at any moment. So I climbed up to get him down. The rocks were very loose. You know, and I even slipped a couple of times.

W: Sounds scary. What happened next?

M: I reached the boy but couldn’t get him down. We were both stuck.

W: So what did you do?

M: Well, I called for help. Pretty soon there was a small crowd on the beach but no one knew what to do. And then someone called the Coast Rescue Service.

W: Wow! That was really adventurous.

Text9

W: You’re so involved. What are you reading?

M: You know Snoopy? That lovely dog always tells us the truth of life in his simple words.

W: I like the Snoopy series, too. I thought you wouldn’t like cartoons. Don’t you feel them too childish?

M: Not at all. Cartoons are fun not only for kids, but also for adults.

W: I quite agree. We adults need simple and interesting things in our stressful lives.

M: I like cartoon movies, too. Many of them are great works.

W: Me too! What’s your favourite one?

M: Ice Age. It’s fantastic!

W: Tell me something about the movie. I’ve heard about it, but I’ve never seen it.

M: Oh, really? It’s a rather old movie, coming out around 2003. It’s so classical that you shouldn’t have missed it. It’s a story about what happens to a group of animals at the end of the Ice Age. The pictures are beautiful, and the whole movie is very imaginative.

W: Are there just animals? No humans?

M: There are only a few humans. Not as hateful as they are in other cartoon movies.

W: Oh, I cannot wait to see it.

M: I have a DVD of this film. I’ll bring it to you tomorrow.

W: Thank you very much!

Text10

Twin sisters are supposed to be very much alike, are they not? Well, my twin sister Jane and I do look alike. However, we are different in many ways. I care little about clothes. T-shirts and blue jeans are my favorite clothes. My sister often dresses like a model. We have very similar characters in most ways. I don’t get angry and enjoy being with friends. In this respect, my twin sister feels the same. But she likes loud music and modern dances while I find that night clubs give me a headache. She is always with friends, is the favorite of our teachers and never wants to have children. I prefer to be alone at times, don’t really try to please my teachers and want to some day to have a family of my own. We have tried to live in the same room several times and even agreed on the color we like best and the kind of furniture we want. But I like to keep things neat and orderly while my twin sister acts as if there were a servant around to pick up all the things that get thrown on the floor. I like to go to bed early and get up early. She often goes to bed very late and then sleeps late next day.

28.(2008安徽卷21)．

设数列满足为实数

(Ⅰ)证明：对任意成立的充分必要条件是；

(Ⅱ)设，证明：;

(Ⅲ)设，证明：

解 (1) 必要性 ： ，

　　　　　　　　 又 　，即

充分性 ：设 ，对用数学归纳法证明

　　　　 当时，.假设

　　　　 则，且

，由数学归纳法知对所有成立

　　 (2) 设 ，当时，，结论成立

　　　　 当 时，

　　　　　 ,由(1)知，所以 　且 　

(3) 设 ，当时，，结论成立

　当时，由(2)知

27.(2008江西)

数列为等差数列，为正整数，其前项和为，数列为等比数列，且，数列是公比为64的等比数列，.

(1)求；

(2)求证.

解：(1)设的公差为，的公比为，则为正整数，

，

依题意有①

由知为正有理数，故为的因子之一，

解①得

故

(2)

∴

26.设数列满足为实数

(Ⅰ)证明：对任意成立的充分必要条件是；

(Ⅱ)设，证明：;

(Ⅲ)设，证明：

解析： (1) 必要性 ： ，

　　　　　　　　 又 　，即

充分性 ：设 ，对用数学归纳法证明

　　　　 当时，.假设

　　　　 则，且

，由数学归纳法知对所有成立

　　 (2) 设 ，当时，，结论成立

　　　　 当 时，

　　　　　 ,由(1)知，所以 　且 　

　　　　　 _{[来源:ZXXK]}

(3) 设 ，当时，，结论成立

　当时，由(2)知

25.(2009湖北卷文)(本小题满分12分)

　 　围建一个面积为360m²的矩形场地，要求矩形场地的一面利用旧墙(利用旧墙需维修)，其它三面围墙要新建，在旧墙的对面的新墙上要留一个宽度为2m的进出口，如图所示，已知旧墙的维修费用为45元/m,新墙的造价为180元/m,设利用的旧墙的长度为x(单位：元)。

(Ⅰ)将y表示为x的函数：　　

(Ⅱ)试确定x,使修建此矩形场地围墙的总费用最小，并求出最小总费用。

解析：(1)如图，设矩形的另一边长为a m

则-45x-180(x-2)+180·2a=225x+360a-360

由已知xa=360,得a=,　　

所以y=225x+　　　　

(II)

.当且仅当225x=时，等号成立.

即当x=24m时，修建围墙的总费用最小，最小总费用是10440元.