山东省枣庄三中2013届高三上学期1月阶段测试英语试题

高三年级阶段性教学质量检测英语试题（120分钟 100分） 2013.01第I卷（共105分）第一部分：听力（共两节，满分30分）第二部分：英语知识运用（共两节,满分35分）第一节语法和词汇知识运用（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’m sorry, but I ______ at you the other day.--- Forget it. I was a bit out of control myself.A. shouldn’t shoutB. shouldn’t have shoutedC. mustn’t shoutD. mustn’t have shouted22. --- I’m really angry at Tom. He never listens to me.--- ______, Ellen. Things will work out.A. Don’t mention itB. I don’t think soC. Take it easyD. No problem23. John, ______ money is no problem, still leads a simple life.A. for whoseB. of whoseC. of whomD. for whom24. The two countries held the talk in a friendly _______ and reached an agreement.A. atmosphereB. stateC. situationD. phenomenon25. The fact _____ she hasn’t known the result of the examination is a great surprise to me.A. whichB. thatC. whatD. when26. We finally managed to make the customers _____ of the quality of the vehicle.A. to convinceB. convincingC. convinceD. convinced27. It remains to be seen what effects the new educational reform will ______ students.A. reflect onB. take onC. have onD. get on28. My mind wasn’t on what he ______ so I’m afraid I missed half of it.A. was sayingB. had saidC. would sayD. has said29. Babies are not born with ______ moral sense. They cannot tell ______ difference between rightand wrong.A. the; theB. a; aC. a; theD. 不填; a30. It’s a good thing that I ______ a raincoat, otherwise I’d have been wet all over.A. have broughtB. broughtC. had broughtD. was bringing31. --- Waiter, _____?--- Wait a minu te, sir. That’s 80 yuan altogether.A. how much did we eatB. would you please charge me.C. would you take the moneyD. may I have the bill, please32. How can you expect to get anything ______ you are unwilling to do something for others?A. whileB. whenC. unlessD. although33. Do you have any seats ____ on the flight for Mexico leaving at 3:16 P.M..A. availableB. accessibleC. acceptableD. adaptable34. --- I have got a pain in my back.--- No wonder. You ______ in front of the compute too long.A. had workedB. are workingC. have been workingD. worked35. If your composition ______ by the end of this week is delayed, you’re sureto lose some points from your final result.A. to be finishedB. being finishedC. will have been finishedD. will be finished第二节：完形填空（共20小题；每小题1分，满分20分）阅读下面短文，从短文后所给各题的四个选项（A、B、C和D）中，选出可以填入空白处的最佳选项，并在答题卡将该项涂黑。

2013级高三学段第一学期质量评定第一部分听力(共两节，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，你都有10秒钟的时间来回答有关小题并阅读下一小题。

每段对话仅读一遍。

1.. How will Ken go to the party?A. By himselfB. With other friendsC. With the two What speakers2.does the teacher ask the man to do after school?A. To finish his homeworkB. To pass the examC. To clean the classroom3. What does the woman think of David?A. He is lazyB. He has a highly effective scheduleC. He often sleeps at work4. What will the woman do in the afternoon?A. Go to the cinemaB. Take an examC. Have classes5. What’s the most probable relationship between the two spe akers?A. Husband and wifeB. Father and daughterC. Doctor and patient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，各个小题将给出5秒钟的作答时间。

高三年级阶段性教学质量检测英语试题（120分钟 100分） 2013.01第I卷（共105分）第一部分：听力（共两节，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.How long does the woman have to wait?A. 30 minutesB. 7 minutesC. 23 minutes2.What does the man mean?A. He likes the classical art betterB. He likes neither modern nor classical artC. He likes the modern art in a higher degree3.Where did the speakers spend their vacation?A. on the mountainsB. at homeC. at the seaside4.What is the weather like now?A. It’s cold and windyB. It’s warm and windyC. It’s fine and not windy at all5.What are the speakers talking about?A. RadioB. PlanC. Weather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。

每段对话读两遍。

高中英语真题:2013－2014学年第一学期高三期初质量检测2013.9注意事项:1. 试卷分第I卷(选择题)和第II卷(非选择题)两部分。

共120分，考试时间120分钟。

2. 考试前请将密封线内的项目填写清楚。

第I卷（选择题共85分）第一部分：听力（共两节，满分20分）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 does this conversation probably take place?A. In a hospital.B. In a friend’s house.C. In the man’s house.2. What is the woman going to buy?A. A book on planes.B. Pictures of ships.C. A book on ships.3. What kind of music does the man like?A. Folk music.B. Pop music.C. Classical music.4. Why doesn’t the woman buy the coat?A. It is expensive.B. There isn’t her size.C. She doesn’t like the color.5. What is the man doing?A. Finishing his homework.B. Doing physical exercise.C. Smoking on the upper floor.第二节 (共15小题; 每小题1分，满分15分)听下面5段对话。

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。

2013届高三英语第一次考试试题2013届高三英语第一次考试试题第一卷（选择题满分115分）第一部分听力（共两节，满分30分）做题前先将答题标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

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.When does the news end?（）A. At 6:30B. At 7:00C. At 7:302. Where does the woman work possibly?（）A. At a tailor’sB. At a hotelC. At a shopping mall3. What is the woman’s attitude to the man’s hair?（）A. She likes itB. She’s no idea about thatC. She thinks it’s strange 4. What can we learn from the talk?（）A. The woman had a wonderful dinner with the man beforeB. The woman is fullC. The woman is the man’s girlfriend5. Why did the man apologize?（）A. He had lost the dictionaryB. He had forgotten to bring the dictionaryC. He had forgotten to tell Mr. Smith to bring the dictionary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。

山东省2013年1月普通高中学业水平考试英语试题第I卷(共50分)第一部分：听力测试(共两节，满分20分)做题时，可先将答案划在试卷上。

录音内容结束后，必须将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)听下面五段对话。

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。

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。

每段对话读两遍。

1. What does the woman want?A. Coffee.B. Tea.C. Milk.2. Why did the woman have to walk?A. Her car broke down.B. Her car was lost.C. She lost the key.3. What will the weather be like tomorrow?A. Rainy.B. Fine.C. Cloudy.4. Who bought the skirt?A. Kate.B. Kate's friend.C. Kate's husband.5. How much is the shirt now?A. $ 12.50.B. $ 25.C. $ 50.第二节(共15小题；每小题1分，满分15分)听下面三段对话和一段独白。

每段对话和独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听每段对话和独白前，你都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秒钟的作答时问。

每段对话和独白读两遍。

听下面一段对话，回答第6至第8题。

6. Where does the man want to go?A. To the park.B. To the supermarket.C. To the hospital.7. How far is it from here?A. About 30 minutes’ walk.B. About 20 minutes’ walk.C. About 50 minutes’ walk.8. How is the man going there?A. By bus.B. On foot.C. By taxi.听下面一段对话，回答第9至第11题。

凤城高中2013级高三模拟考试英语试题第I卷须知事项：1．答第I卷前，考生务必将自己的姓名、某某号填写在答题卡上。

2．选出每一小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡干净后，再选涂其他答案标号。

不能答在本试卷上，否如此无效。

第一局部听力(共两节，总分为30分)做题时，先将答案标在试卷上。

录音内容完毕后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节共5小题：每一小题1.5分，总分为7.5分)听下面5段对话。

每段对话后有一个小题，从试题所给的A、B、C三个选项中选出最优选项，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．What does the woman want the man to do?A．Come back soon． B．Return with information about the buses．C．Pick up her friends．2．Why was the woman late?A．The traffic was really bad． B．She missed the bus． C．Her ear broke down. 3．What does the man care about most?A．The car’s color． B．The car’s function． C．The car’s style．4．How did the woman learn about her new job?A．From the TV． B．From the paper． C．From a friend5．What is true about the man?A．He will work for Tom’s company． B．He doesn’t work anywhere now. C．He was fired by his boss．第二节(共15小题；每一小题1.5分，总分为22．5分)听下面5段对话或独白。

（120分钟 100分） 2013.01第I卷（共105分）第一部分：听力（共两节，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. How long does the woman have to wait?A. 30 minutesB. 7 minutesC. 23 minutes2. What does the man mean?A. He likes the classical art betterB. He likes neither modern nor classical artC. He likes the modern art in a higher degree3. Where did the speakers spend their vacation?A. on the mountainsB. at homeC. at the seaside4. What is the weather like now?A. It’s cold and windyB. It’s warm and windyC. It’s fine and not windy at all5. What are the speakers talking about?A. RadioB. PlanC. Weather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。

每段对话读两遍。

听下面一段对话，回答第6至第8三个小题。

山东省2013年1月普通高中学业水平考试
英语试题参考答案及评分标准
第I卷(共50分)
1-5 BAACC 6-10 BACCB 11-15ACAAB 16-20 ABCBA 21-25 DBCBA 26-30 BADBC 3l-35 CABDC 36-40 BCDBA
【评分标准】
1．第1至30小题，每小题1分。

2．第31至40小题，每小题2分。

3．以上各题，凡与答案不符者，不得分。

第II卷(共50分)
第四部分：词汇运用
41-45 IBFDA 46-50 GEJHC
【评分标准】
1．本题满分为10分，每小题1分。

2．凡与答案不符者，不得分。

第五部分：阅读表达
51．To the jungle．
52．At six in the morning．
53．Because they wanted to see better．／To see better．
54．A dead deer．
55．One of the elephants．
【评分标准】
1．本题满分为15分，每小题3分。

2．虽与答案表达方式不同，但与所给参考答案意思一致，无语言错误，不予扣分。

第六部分：书面表达
【评分建议】
一、评分原则
1．本题总分为25分，按5个档次给分。

2．评分时，先根据文章的内容和语言初步确定其所属档次，然后以该档次的要求来衡量，确定或调整档次，最后给分。

1。

山东省枣庄市第三中学2014-2015学年高一上学期期末考试英语试题第一节语法和词汇知识（共20小题,每小题1分,满分20分）从每小题的A、B、C、D四个选项中,选出可以填入空白处的最佳选项,并在答题卡上将该选项涂黑。

1．Do you have ________ Smith here? I’d like to have ________word with him．A．a; the B．the; a C．the; the D．a; a2．I hate ________ when someone makes a mess of my learning materials on my desk．A．it B．that C．this D．one3．As a physics teacher, Mr. Chen devoted himself to teaching and researching, which earned him a good ______ in his field.A．reputation B．expectation C．impression D．knowledge4．―Do you know where David is? I couldn’t find him anywhere.―Well. He ______ have gone far —his coat’s still here.A．needn’t B．can’t C．mustn’t D．wouldn’t5．―People should stop using their cars and start using public transport.―______. The roads ar e too crowded as it is.A．All right B．Exactly C．Go ahead D．Fine6．Yuan Long ping is ______ university professor．He likes playing _____ violin． A．a; the B．an; / C．a ; a D．an; a 7．The boys,________had played the whole day long, were tired．A．all of what B．all of which C．all of them D．all of whom8．Lily often watches TV, so ________．A．does she B doesn’t she C．I do D．do I9．It will be years _______ all children can go to school free of charge at all A．since B．after C．as D．before 10．The blame for this accident attaches ______the driver who drank too much．A．to B．in C．as D．on11．A new stadium ______here．They plan to finish it next year．A．will be built B．is built C．has been built D．is being built12．Every time he was late for class, he would _____ an excuse．A．set up B．take up C．make up D．bringup13．_______your house, mine is very small．A．Comparing with B．Compared with C．Compares to D．Comparing to 14．Tom admitted ______in the examination and he was not admitted _____the schoolat last．A．to cheat; to B．cheating; to C．to cheat; as D．cheating; as15．The class will _______on some important matters．A．debate B．argue C．discuss D．talk16．In my opinion, the film is ______worth _______a second time．A．much; to see B．very; to be seenC．well; seeing D．quite; being seen17．Could you tell me__________________?A．what was his name B．what is his nameC．what will his name D．what his name is18．It is _____ that the Chinese ping-pong team will win the prize．A．sure B．necessary C．regularD．certain19．There is some doubt_______ he can win the first prize．A．that B．whether C．if D．what20．Why didn’t Jim come to school this morning? ---Because there was _______ with his legs．A．nothing wrong B．wrong something C．something wrong D．anything wrong第三节：完形填空（共 20 小题；每小题 1分，满分 20 分）阅读下面短文，从短文后各题的A、B、C、D四个选项中，选出适合填入对应空白处的最佳选项，并在答题卡上将该选项涂黑。

山东省某重点中学2013年高三1月份阶段考试试题英语试题(满分150分，时间120分钟）第I卷（选择题共105分）第一部分：听力（共两节满分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. What will Dorothy do on the weekend?A. Go out with her friend.B. Work on her paper.C. Make some plans.2. What was the normal price of the T—shirt?A. $ 15.B. $30.C. $50.3. What has the woman decided to do on Sunday afternoon?A To attend a wedding.B To visit an exhibition.C To meet a friend.4. When does the bank close on Saturday?A. At 1：00 pm.B. At 3:00 pm.C. At 4:00 pm.5. Where are the speakers?A. In a store.B. In a classroom.C. At a hotel.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—7题。

6. What do we know about Nora?A. She prefers a room of her own.B. She likes to work with other girlC. She lives near the citycenter.7. What is good about the flat?A. It has a large sitting room.B. It has good furniture.C. It has a big kitchen.听第7段材料，回答第8、9题。

枣庄三中高三年级第一次质量检测英语试题第二部分：阅读理解第一节AFor some of us who long to travel, it can be difficult to find someone to journey with. Friends and family members are tied down in jobs, struggling to save money, and don't always want to go to the same places. The solution, of course, is to go it alone.Melbourne, AustraliaMelbourne is a hot-spot travel destination, which has beautiful beaches as well as busy and lively city life. Australia as a whole is considered a safe destination for international travel, and because of that, many solo(单独）travelers go there. Melbourne is incredibly easy to get around because you can walk or bike practically anywhere!ThailandThailand is great for solo travelers-perhaps because it is one of the Buddhist mentality, which promotes equality among the sexes. Thailand is known for its friendly hospitality, and as a travel hot-spot, there are plenty of chances to meet other like-minded travelers. Overall known for being very cheap, especially in the north, it's a good choice if you want to get away on a budget.BhutanBhutan is one of the most cultural countries in the world. It is also home to the world's highest unclimbed peak, Gangkhar Puensum. The mountain is sacred (神圣的）and entry is only possible on a pre-booked tour, where you are accompanied around by your own personal guide. Plastic bags have been banned in Bhutan since 1999 and in 2004, it became the first country in the world to outlaw tobacco.Costa RicaCosta Rica is a great place if you're looking for adventure, with surfing, volcanoes and other recreational activities. You'll never get a chance to feel lonely because there's an abundance of exciting adventures to experience! Costa Rica has never seen political unrest, class struggles or revolutions commonly associated with other Latin American Countries. What's more, it doesn't have or need an army because it's such a peaceful country.21.Which place is suitable for travelers short of money?A. Melbourne, Australia.B. Thailand.C. Bhutan.D. Costa Rica.22.What can we learn about travelling in Bhutan?A. You can climb the mountain without booking ahead.B. You can prepare some plastic bags for your rubbish.C. You can experience the rich culture there.D. Smoking is allowed at the foot of the mountain.23.Where does this text probably come from?A. A historical document.B. A science magazine.C. A travel guide.D.A book review.BFor years, the U.S. has experienced a shortage of registered nurses. The Bureau of Labor Statistics projects that while the number of nurses will increase by 19 percent by 2022,demand will grow faster than supply, and that there will be over one million unfilled nursing jobs by then.So what's the solution? Robots.Japan is ahead of the curve when it comes to this trend. Toyohashi University of Technology has developed Terapio, a robotic medical cart that can make hospital rounds, deliver medications and other items.It follows a specific individual, such as a doctor or nurse, who can use it to record and access patient data. This type of robot will likely be one of the first to be implemented in hospitals because it has fairly minimal patient contact.A robot's appearance affects its ability to successfully interact with humans, which is why the RIKEN-TRI Collaboration Center for Human-Interactive Robot Research decided to develop a robotic nurse called Actroid F. It is so human-like that some patients may not know the difference. This conversational robot companion has cameras in its eyes, which allow it to track patients and use appropriate facial expressions and body language in its interactions. During a month-long hospital trial, researchers asked 70 patients how they felt being around the robot and" only three or four said they didn't like having it around."It's important to note that robotic nurses don't decide courses of treatment or make diagnoses, though robot doctors and surgeons may not be far off. Instead, they perform routine and laborious tasks, freeing nurses up to attend to patients with immediate needs. This is one industry where it seems the interaction of robots will lead to collaboration, not replacement.24.What does the author say about Japan?A. It ranks top in future robotics technology.B. It takes the lead in offering robotic nursing.C. It is in desperate need of registered nurses.D. It provides the best medication for the elderly.25.Which of the following best explains" implemented" underlined in Paragraph 3?A. Cancelled.B. Constructed.C. Improved.D. Applied.26.What do we know about the robot Actroid F?A. It has no difference from a human nurse.B. It gets favorable remarks from all the patients.C. It interacts with patients like a human companion.D. It uses body language even more effectively than words.27.What can be inferred from the last paragraph?A. Cooperation will not be replaced.B. Nurses will still play their roles.C. The robotics industry will be promising.D. Robots can meet patients' immediate needs.CThis may look like an ordinary plastic straw(吸管），but it is not made of plastic. Cameron Ross started the Celise Bio-products company, to produce single-use plastic alternatives from plant materials like these. They are made of poly lactic acid(聚乳酸）known as PLA from com starches(淀粉）。

高三年级阶段性教学质量检测数学试题（理科）（120分钟 150分） 2012.01第Ⅰ卷(选择题 共60分)一、选择题:本大题共12小题，每小题5分，共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1．设集合P ={1，2，3，4}，集合Q ={3，4，5} ，全集U =R ，则集合R PQ ðA. {1，2}B. {3，4}C. {1}D. {-2，-1，0，1，2}230y +-=的倾斜角是A ．6πB ．3πC ．65π D ．32π 3．已知)(x f 为奇函数，在[]3,6上是增函数，[]3,6上的最大值为8，最小值为—1，则 2(6)(3)f f -+-等于A ．15-B ．13-C ．5-D ．54．已知直线l ⊥平面α，直线m ⊂平面β，给出下列命题：①α∥β⇒l ⊥m ②α⊥β⇒l ∥m ③l ∥m ⇒α⊥β ④l ⊥m ⇒α∥β 其中正确命题的序号是A. ①②③B. ②③④C. ①③D. ②④5．已知1()x f x a =，2()a f x x =，3()log a f x x =，（0a >且1a ≠），在同一坐标系中画出其中两个函数在第Ⅰ象限的图象，正确的是A B C D 6．一等腰三角形的周长是底边长的5倍，那么顶角的余弦值为A.518 B. 34 C. D. 787．已知,135)4sin(-=+πx 则x 2sin 的值等于A.169120 B.169119 C.169120- D.-1691198．如图所示是以建筑物的三视图，现需将其外壁用油漆刷 一遍，若每平方米用漆0.2k g ，则共需油漆大约公斤数为 （尺寸如图所示，单位：米 π取3） A. 20 B. 22.2 C . 111 D. 1109．抛物线212y x =-的准线与双曲线22193x y -=的两渐近线围成的三角形的面积为A.B. C. 2D.10．已知a .b ∈R ，那么 “122<+b a ” 是“ ab +1＞a +b ”的A.充要条件B.必要不充分条件C.充分不必要条件D.既不充分也不必要条件11．在圆x y x 522=+内，过点（25，23）有n 条弦的长度成等差数列，最小弦长为数列的首项1a ，最大弦长为n a ，若公差为d ∈[61，31]，那么n 的取值集合为A. {4,5,6,7}B. {4,5,6}C. {3,4,5,6}D. { 3.4.5,6,7}12．设x , y 满足约束条件⎪⎩⎪⎨⎧≥≥≥+-≤--0,002063y x y x y x ，若目标函数z =ax +by (a .>0,b >0)，最大值为12，则b a 32+的最小值为 A.724 B. 625 C. 5 D. 4第Ⅱ卷 (非选择题 共90分)二、填空题：本大题共4个小题，每小题4分，共16分. 13．已知(),103202=+⎰dx t x则常数t =_________.14．已知函数21 (x 0)() 1 (x>0)x f x x ⎧-+≤⎪=⎨-⎪⎩，则不等式()0f x <的解集为15,12,0,OB OA OB ==点C 在AOB ∠内，045=∠AOC ，设,(,),OC mOA nOB m n =+∈R 则mn=_______. 16．已知()f x 为R 上的偶函数，对任意x R ∈都有(6)()(3)f x f x f +=+且当[]12,0,3x x ∈，12x x ≠ 时，有2121)()(x x x f x f -->0成立，给出四个命题：①(3)0f = ② 直线6x =-是函数()y f x =的图像的一条对称轴③ 函数()y f x =在[]9,6--上为增函数 ④ 函数()y f x =在[]9,9--上有四个零点 其中所有正确命题的序号为______________三、解答题:本大题共6小题，共74分.解答应写出文字说明，证明过程或演算步骤. 17.(本小题满分12分)设x x x x f cos sin 32cos 6)(2-=. （Ⅰ）求)(x f 的最小正周期及单调递增区间； （Ⅱ）将函数)(x f 的图象向右平移3π个单位，得)(x g y =的图象，求xx g x F 323)()(-=在4π=x 处的切线方程.18．(本小题满分12分)如图所示，在棱锥P ABCD -中， ⊥PA 平面ABCD ， 底面ABCD 为直角梯形，且AB //CD ， 90=∠BAD ，2 , 4PA AD DC AB ====（Ⅰ）求证：PC BC ⊥（Ⅱ）求PB 与平面PAC 所成角的正弦值.19．(本小题满分12分)已知二次函数2()f x ax x =+，若对任意12,x x R ∈，恒有12122()()()2x x f f x f x +≤+成立，不等式()0f x <的解集为A(Ⅰ)求集合A ；(Ⅱ)设集合{}4,B x x a =+<，若集合B 是集合A 的子集，求a 的取值范围 20．(本小题满分12分)已知数列{}n a 的前n 项和为1,3n n n S a S n +=-+且，1,2n a ∈=+N . (Ⅰ)求数列{}n a 的通项; (Ⅱ)设()2n n nb n S n =∈-++N 的前n 项和为n T ，证明:n T ＜34.21．(本小题满分12分)若椭圆1E : 2222111x y a b +=和椭圆2E : 2222221x y a b +=满足2211(0)a bm m a b ==>,则称这两个椭圆相似，m 是相似比.(Ⅰ)求过(且与椭圆22142x y +=相似的椭圆的方程；(Ⅱ)设过原点的一条射线l 分别与(Ⅰ)中的两椭圆交于A 、B 点（点A 在线段OB 上）. ①若P 是线段AB 上的一点，若OA ，OP ，OB 成等比数列，求P 点的轨迹方程; ②求OA OB 的最大值和最小值. 22．(本小题满分14分)设函数1()(2)ln 2f x a x ax x=-++. （Ⅰ）当0a =时，求()f x 的极值； （Ⅱ）当0a ≠时，求()f x 的单调区间；（Ⅲ）当2a =时，对任意的正整数n ，在区间11[,6]2n n++上总有4m +个数使得1231234()()()()()()()()m m m m m f a f a f a f a f a f a f a f a +++++++<+++成立，试问：正整数m 是否存在最大值？若存在，求出这个最大值；若不存在，说明理由.高三年级阶段性教学质量检测数学试题(理科)2013.01参考答案一、选择题:本大题共12小题，每小题5分，共60分.ADACB DDBDC AB 二、填空题：本大题共4个小题，每小题4分，共16分.13. 1 14. {}11x x x <≠-且 15．2 16.①②④三、解答题:本大题共6小题，共74分.解答应写出文字说明，证明过程或演算步骤. 17.(本小题满分12分)解:（Ⅰ）(1cos 2)()62)326x f x x x π+==++, …………３分故f (x )的最小正周期π=T , ………………………………………………4分由ππππk x k 2622≤+≤+-得f (x )的单调递增区间为()Z k k k ∈--]12,127[ππππ.……………６分（Ⅱ）由题意：())]32336g x x x ππ=-++=+, ……………………８分 xx xx g x F 2sin 323)()(=-=, 2'2sin 2cos 2)(x xx x x F -=, ……………………………………１０分因此切线斜率2'16)4(ππ-==F k ,切点坐标为)4,4(ππ，故所求切线方程为)4(1642πππ--=-x y ,即08162=-+ππy x . …………………………………………………１２分 18．(本小题满分12分)解:（Ⅰ）在直角梯形ABCD 中，AC=22，取AB 中点Ｅ，连接ＣＥ，则四边形ＡＥＣＤ为正方形， ……………………………………２分∴ＡＥ＝ＣＥ＝２，又ＢＥ＝221=AB ， 则ABC ∆为等腰直角三角形，∴BC AC ⊥， ……………………………………………………４分又⊥PA 平面ＡＢＣＤ，⊂BC 平面ABCD ，∴BC PA ⊥，由A PA AC =⋂得⊥BC 平面ＰＡＣ，⊂PC 平面ＰＡＣ，所以PC BC ⊥. ……………………………………６分（Ⅱ）以A 为坐标原点，AD ，AB ，AP 分别为z y x ,,轴，建立如图所示的坐标系.则)2,0,0(P ，B （０,４,０）， C （２,２,０），)0,2,2(BC ),2,4,0(-=-=BP ……9分由（Ⅰ）知BC 即为平面PAC 的一个法向量，510||||,cos =>=<BP BC BP BC ,……11分 即PB 与平面PAC 所成角的正弦值为510. ……………………………１２分 19．(本小题满分12分) 解：(Ⅰ)对任意12,x x R ∈，有1212()()2()2x x f x f x f ++-2121()02a x x =-≥……………………３分 要使上式恒成立，所以0a ≥由2()f x ax x =+是二次函数知0a ≠故0a >……………………4分 由21()()0f x ax x ax x a=+=+< 所以不等式()0f x <的解集为1(,0)A a=-……………………6分 (Ⅱ)解得(4,4)B a a =---，……………………8分B A ⊆4014a a a -≤⎧⎪∴⎨--≥-⎪⎩………………………………………………１０分解得02a <≤-2分 20．(本小题满分12分) 解：(Ⅰ)()113,213n n n n a S n n a S n +-=-+≥=--+时， , …………２分,12,111-=-=-∴++n n n n n a a a a a 即112(1),(2,),n n a a n n +∴-=-≥∈N* ……………………………４分2221(1)232n n n a a --∴-=-=∙=n a ⎩⎨⎧≥+∙=-2,1231,22n n n ……………………………6分 （Ⅱ）113322n n n S a n n -+=+-=∙+-,123-∙=∴n n nb ………………………………………………8分 ⎪⎭⎫ ⎝⎛++++=∴-1222322131n n n T⎪⎭⎫ ⎝⎛++++=n n n T 2232221312132 相减得，⎪⎭⎫⎝⎛-++++=-n n n n T 22121211312112 ,……………………………１０分 n n n nT 23221134∙-⎪⎭⎫ ⎝⎛-=∴﹤34. ……………………………12分∴结论成立. 21．(本小题满分12分)解:(Ⅰ)设与22142x y +=相似的椭圆的方程22221x y a b +=.则有222461a a b ⎧=⎪⎪⎨⎪+=⎪⎩ ……………………………3分 解得2216,8a b ==.所求方程是221168x y +=. ……………………………4分 (Ⅱ) ① 当射线l的斜率不存在时(0,(0,A B ±,设点P 坐标P(0,0)y ,则204y =,02y =±.即P(0,2±). ………………5分当射线l 的斜率存在时，设其方程y kx =,P(,)x y由11(,)A x y ,22(,)B x y 则112211142y kx x y =⎧⎪⎨+=⎪⎩ 得2122212412412x k k y k ⎧=⎪⎪+⎨⎪=⎪+⎩||OA ∴=同理||OB =………………………7分又点P 在l 上，则y k x=，且由2222222222228(1)8(1)8()12212y k x y x x y y k x y x ++++===+++,即所求方程是22184x y +=.又(0,2±)适合方程,故所求椭圆的方程是22184x y +=. ………………9分②由①可知,当l 的斜率不存在时，||||2224OA OB ==,当l 的斜率存在时,2228(1)4||||41212k OA OB k k +==+++, 4||||8OA OB ∴<≤, ………………11分综上,||||OA OB 的最大值是8,最小值是4. ………………12分 22．(本小题满分14分)解:(I)函数()f x 的定义域为(0,)+∞. …………………………１分当0a =时，1()2ln f x x x =+，∴222121()x f x x x x -'=-=.…………………２分 由()0f x '=得12x =. ()f x ，()f x '随x 变化如下表:由上表可知，()()22ln 22f x f ==-极小值，没有极大值. …………………………４分（II ）由题意，222(2)1()ax a x f x x+--'=. 令()0f x '=得11x a =-，212x =. ………………………６分 若0a >，由()0f x '≤得1(0,]2x ∈；由()0f x '≥得1[,)2x ∈+∞. …………７分若0a <，① 当2a <-时，112a -<，1(0,]x a ∈-或1[,)2x ∈+∞，()0f x '≤；11[,]2x a ∈-，()0f x '≥.②当2a =-时，()0f x '≤. ③当20a -<<时，112a ->，1(0,]2x ∈或1[,)x a ∈-+∞，()0f x '≤；11[,]2x a∈--，()0f x '≥.综上，当0a >时，函数的单调递减区间为1(0,]2，单调递增区间为1[,)2+∞； 当2a <-时，函数的单调递减区间为1(0,]a -，1[,)2+∞，单调递增区间为11[,]2a -； 当2a =-时，函数的单调减区间是(0,)+∞, 当20a -<<时，函数的单调递减区间为1(0,]2，1[,)a -+∞，单调递增区间为11[,]2a--. …………………………１０分(Ⅲ) 当2a =时，1()4f x x x=+，2241()x f x x -'=. ∵11[,6]2x n n∈++，∴()0f x '≥.∴min 1()()42f x f ==，max 1()(6)f x f n n=++. …………………………１２分由题意，11()4(6)2mf f n n <++恒成立.令168k n n =++≥，且()f k 在1[6,)n n+++∞上单调递增，min 1()328f k =，因此1328m <，而m 是正整数，故32m ≤，所以，32m =时，存在123212a a a ====，12348m m m m a a a a ++++====时，对所有n满足题意.∴32max m =. …………………………………１４分。

高三年级阶段性教学质量检测英语试题（120分钟 100分） 2013.01第I卷（共105分）第一部分：听力（共两节，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. How long does the woman have to wait?A. 30 minutesB. 7 minutesC. 23 minutes2. What does the man mean?A. He likes the classical art betterB. He likes neither modern nor classical artC. He likes the modern art in a higher degree3. Where did the speakers spend their vacation?A. on the mountainsB. at homeC. at the seaside4. What is the weather like now?A. I t’s cold and windyB. I t’s warm and windyC. I t’s fine and not windy at all5. What are the speakers talking about?A. RadioB. PlanC. Weather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。

高中英语真题:2013届高三英语第一次模拟考试试题含解析新人教版第一部分听力（共两节，满分30分）第一节（共5小题；每小题1．5分，满分7．5分）1. What are the two speakers talking about?A. Study.B. Hometown.C. Weather.How does the man feel about the final exam?A. It is important.B. It is difficult.C. It has only one page. What does the man mean?A. He is confident he’ll get the job.B. His chance of getting the job is slim.C. The interview didn’t go as well as he expected.When will the two speakers meet?A. At 8:00.B. At 7:15.C. At 5:45.Who is Judy probably?A. The man’s former schoolmate.B. The man’s former colle ague.C. The man’s former neighbor.第二节（共15小题；每小题1.5分，满分22.5分）听第6段材料，回答6 、7题。

6. What seems to be the woman’s problem?A. She didn’t feel well.B. She lost her wallet.C. Her car broke down.7. Where is the woman going now?A. To the hospital.B. To her home.C. To a taxi compa ny.听第7段材料，回答8、9题。