2015年成都外国语学校初升高直升考试
成都外国语学校初三2015下学期英语试题
成都外国语学校2014-2015年度下期期中考试初三英语试卷（满分120分，考试时间120分钟）Written Test Part A ( 50 marks)I. Multiple Choices.( 15 marks ) 1.My advice to you is that he is not the person you can count on, please choose another one tocomplete this project .A. depend onB. base onC. hold onD. insist on 2. I have just come across a beautiful poem in this book .A. read aloudB. written downC. discoveredD. went through 3. --- How was the party last night ? --- It couldn ’t be worst.A. It was so soB. It was awfulC. nothing badD. It was great 4. – Excuse me . --- ________?--- Could you tell me how I can get to Tian Fu square ?A. PardonB. WhyC. YesD. Please5. There is a restaurant near my house .It ’s famous for its ______ cooked dishes , _______ it ’s Gongbao Ji ding.A. specially ; especiallyB. especially ; speciallyC. especially ; especiallyD. specially ; specially6. He lay on his back at the corner of the street ,his eyes______ and his hands ______ . A. close; terrible B. closed; trembling C. closing ; trembling D. closed ; trembled7. It ’s nearly 7 o ‘clock .Jack________ be here at any moment. A. must B. can C. need D. should8. – What a pity ! My new camera doesn ’t work . _______ must be something wrong with it.--- Don ’t worry .Let me have a look.A. ItB. ThereC. ThatD. This 9. – The English test is not difficult ,is it ?-- _________. Even Tom _______ to the top students failed in it. A. Yes, belonged B. No, belonged C. No, belonging D. Yes, belonging10. The only person ________ he gives us sounded not satisfying. A. for B. which C. as D. that 11. Jim is not ______ foolish _______.A. such ;as he is lookedB. such; as he looksC. as ; as he is lookedD. as ; as he looks12. Thank you for all your hard work last night. I don ’t think we _______it without you. A. can manage B. could have managed C. could manage D. can have managed13. Everyone here will thank the firefighters for the things they have done to prevent fires_________ the environment safe.A. being madeB. to makingC. to makeD. from making 14. ______, We have to get down to the business right away. A. As there being no time left B. To be no time left C. There being no time left D. There is no time left15.--- Why are you all the pictures? -- I am going to paint the walls.A. hanging upB. putting downC. carrying outD. taking down II . Close test .( 15 marks )Languages are always changing. 1 English of today is very different from that of 500 years ago. In time, some languages become more 2 and 3 become less important. 4 even die out completely. About 1,000 years ago English was a little5 language.If a language has a large 6 of speakers, or 7 it is very old, there may be difference 8 the way it is spoken in different areas. 9 , the language may have 10 dialects. Chinese is a good example of dialect differences. Chinese 11 for thousands of years by many millions of 12 . The differences between the dialects of Chinese are 13 great that speakers of Chinese from some parts of China cannot understand each other.There are other kinds of dialects. In some languages we find words or expressions and even grammatical forms, which are, used 14 by men and others used by women. What’s more, each generation 15 its own expressions and grandparents and grandchildren may sometimes have difficulty in understanding each other.1. A．An B．The C．/ D．A2. A．important B．simple C．easy D．impossible3. A．other B．some others C．the others D．others4. A．Anyone B．None C．Any D．Some5. A．known B．to know C．knowing D．knew6. A．amount B．deal C．number D．numbers7. A．if B．as C．as if D．even if8. A．on B．in C．at D．by9. A．However B．That is C．But D．So10. A．few B．several C．no D．little11.A．has been spoken B．has spoken C．is spoken D．have been spoken12. A．speakers B．talkers C．tellers D．writers13. A．very B．too C．such D．so14. A．till B．only C．neither D．either15. A．studies B．uses C．produces D．makesIII .Reading Comprehension (20 marks)AAmerican is a mobile society .Friendships between Americans can be close and real, yet disappear soon. They don’t f eel hurt. If the same two people meet again, even years later, they pick up the friendship. This can be quite difficult for us Chinese to understand. Friendships between us develop more slowly but may become lifelong feelings, extending（延伸）deeply into both families. There is another difficult point for us to understand .Although Americans treat friends warmly in their personal everyday lives, they don’t show their politeness to them if it requires a great deal of time. But in China, we are usually generous with our time. We, as hosts, will appear at an airport even in the middle of the night to meet a friend. We may take days off from our work to act as guides to our friends: It is opposite in America, Americans can not manage the time to do a great deal with a visitor outside their daily plans. They will probably expect the visitors to get themselves from the airport to the hotels. And they expect the visitors will phone them from there. Once the visitors arrive at their homes ,the welcome will be full, warm and real.For Americans, it is often considered more friendly to invite a friend to their homes than to restaurants, except for business matters. Americans are ready to receive us foreigners at their homes, share their holidays, and their home life. So accept their hospitality（好客）at home and enjoy your visit in America!( )42.The underlined phrase “pick up” in Paragraph 1 may mean “_______”.A. keep outB. give upC. pay no attention toD. continue( )43.Which of the following is the typical way of American hospitality?A. Treating friends at home.B. Taking days off to be with friends.C. Meeting friends at the airport at midnight.D. Sharing everything they have.( )44.Which of the following statements in True according to the passage?A. Americans are always generous with their time.B. Americans don’t feel hurt if their friendships disappear soon.C. Chinese friendships develop more slowly but will never disappear.D. Chinese friendships are more sincere than American friendships.( )45.This passage is most probably written for .A. American studentsB. Chinese studentsC. Chinese visitors to AmericaD. American visitors to ChinadabcBThere are many ways to find a job. It can be as easy as walking into a neighborhood store to look at its announcement board. Local stores often have areas where people can put small signs telling what kind of service they need or can provide. Such services include caring for children or cleaning houses.Besides, job searchers can look in the newspaper. Local newspapers have employment announcements placed by companies seeking workers.Another popular tool for finding jobs is the Internet. For example, people in four hundred and fifty cities around the world can use the Craigslist Web site to buy objects, meet people or find a job. Craigslist says that it receives two million new job listings each month.Another useful way to find a job is through a college or university. For example, students at the University of Texas in Austin can go to the Career Exploration Center to get help in finding a job. Of course, looking for a job requires knowing what kind of work you want to do. For example, there is a book called “What Color is Your Parachute ?” by Richard Bolles. This book has been helping people choose a career since it was first published in nineteen seventy.Some experts also help people find jobs. Susan W. Miller owns a company called California Career Services in Los Angeles. She says her company helps people find jobs by first helping them understand their strengths, goals and interests. Then she provides them with methods and resources to help them find the right job.26. What is the passage mainly about?A. College students’ part-time jobs.B. Finding a job.C. Craigslist Web site.D. The relation between study and work.27. By using the Craigslist Web site, you can ______.A. sell your old thingsB. create your own announcement boardC. do some shopping onlineD. get useful information about 450 cities28. “What Color is Your Parachute?” is a book which gives tips to those who want to _____.A. work on the airplaneB. find a suitable jobC. publish a bookD. buy a parachute29. It can be learned from the passage that ______.A. companies often put job information on announcement boards in local shopsB. the Internet is the most popular tool for job hunters in the USAC. California Career Services mainly serves university studentsD. Susan W. Miller’s company helps people find jobs accor ding to their abilities and goals.30. How many ways of finding a job are mentioned in the passage?A. Four.B. Five.C. Six.D. Seven.CScientists have tried to come up with biological explanations for the difference between boys and girls However, none were believable enough to explain the general picture. As one scientist points out, "There are slight genetic(遗传的) differences between the sexes at birth which may affect the subjects boys and girls choose. But the difficulty is that by the time children reach school age, there are so many other effects that it is almost impossible to tell whether girls are worse at science and maths, or whether they've been brought up to think of these subjects as boys'' territory". Statistics(统计数据) show that in mathematics, at least, girls are equal to boys. A recent reportsuggests that girls only stop studying mathematics because of social attitudes. One of the reports' authorssays, "While it is socially unacceptable for people not to be able to read and write, it is still acceptable for women to say that they are 'hope-less' at maths. Our research shows that, although girls get marks which are as good as the boys', they have not been encouraged to do so."The explanation for the difference, which is very clear during the teenage years, goes as far back as early childhood experiences. From their first days in nursery school, girls are not encouraged to work on their own or to complete tasks, although boys are. For example, boys but not girls, are often asked to 'help' with repair work. This encouragement leads to a way of learning how to solve problems later on in life. Evidence shows that exceptional mathematicians and scientists did not have teachers who supplied answers; they had to find out for themselves.A further report on maths teaching shows that teachers seem to give more attention to boys than to girls. Most teachers who took part in the study admitted that they expect their male students to do better at mathematics and science subjects than their female students. All of this tends to encourage boys to work harder in these subjects, gives them confidence and makes them believe that they can succeed.Interestingly, both boys and girls tend to regard such 'male' subjects like mathematics and science as difficult. Yet it has been suggested that girls avoid mathematics courses, not because they are difficult, but for social reasons.1. The underlined word "territory" in the second paragraph most probably means "________”.A. interestB. area of landC. special fieldD. district2. According to scientific studies,.A. maths is not fit for girls to learnB. boys have a special sense of mathsC. girls are poorer at maths because they are the weaker sexD. girls can learn maths as well as boys if given enough encouragement3. Those who made extraordinary contribution in mathematics and scienceA. usually had good teachers to help themB. had the abilities to solve problems by themselvesC. usually worked harder than othersD. were encouraged to repair things when young4. Which of the following is not true according to the text?A. It seems socially acceptable for a girl not to be able to read and write.B. It is a social problem rather than a problem of brains that girls are poor at mathsC. Mathematics and science are no easy subjects to either girls or boys.D. There is no connection between a girl's ability in maths and her appearance.5. What would be the best title for the text?A. Who's Afraind of Maths Anyway?B. Are Boys Cleverer than Girls?C. Boys Are Better at Maths than Girls by BirthD. Maths-A Difficult SubjectDLaptop computers are popular all over the world .People use them on trains and airplanes ,in airports and hotels .These laptops These laptops connect people to their workplace. In the United States today, laptops also connect students to their classrooms. Westlake College in Virginia will start a laptop computer program that allows students to do schoolwork anywhere they want. Within five years, each of the 1500 students at the college will receive a laptop. The laptops are part of a ＄10 million computer program at Westlake, a 110-year-old college. The students with laptops will also have access to the Internet. In addition, they will be able to use e-mail to "speak" with their teachers, their classmates, and their families. However, the most important part of the laptop program is that students will be able to use computers without going to computer labs. They can work with it at home, in a fast-food restaurant or under the trees-anywhere at all!Because of the many changes in computer technology, laptop use in higher education, such as colleges and universities, is workable. As laptops become more powerful, they become more similar to desktop computers. In addition, the portable computers can connect students to not only the Internet, but also libraries and other resources. State higher-education officials are studying how laptops can help students. State officials are also testing laptop programs at other universities, too.At Westlake College, more than 60 percent of the staff use computers. The laptops will allow all teachers to use computers in their lessons. As one Westlake teacher said, "Here we are in the middle of Virginia and we're giving students a window on the world. They can see everything and do everything."1. The main purpose of the laptop program is to give each student a laptop to _____.A. use for their schoolworkB. access the InternetC. work at homeD. connect them to libraries2. Why is the word "speak" in the second paragraph in quotation marks (引号)?A. They don't really talk.B. They use the computer language.C. Laptops have speakers.D. None of the above reasons is correct.3. Which of the following is true about Westlake College?A. All teachers use computers.B. 1500 students have laptops.C. It is an old college in America.D. Students there can do everything.4. A window on the world in the last paragraph means that students can _____.A. attend lectures on information technologyB. travel around the worldC. get information from around the worldD. have free laptops5. What can we infer from the passage ?A . The program is successfulB . The program is not workableC. The program is too expensiveD. We don’t know the result yet .Paper BI. Words. (15marks)1. Look at your dirty shoes, they really need___________ (wash) at once.2. After a three-year service in the Army, he came back to his hometown and found his beloved girl _____________(engage)to a rich business man.3. I ‘ll never forget the days I spent with my friend ____________ (travel)to every part of the world we could reach.4. One of the colorful presents which___________ (lay) under the Christmas tree belongs to me.5. Nowadays ,people are strongly_____________（criticism）of what the government do to the control of the house price.6. _________ (legal) speaking, it is wrong to do a U-turn on the motor way.7. We can do nothing but ___________(wait) for the ambulance _________(come).8. If you are a wise man, you should choose the __________ (beautiful) but _________(intelligent) woman of the two to marry.9. When___________ (ask) how to be successful ,the celebrity replied .“Never give up your dream”10. Especially in winter there aren’t so many ___________(season) fruits or vegetables, that’s the reason why the prices of them__________(raise) 10% by the end of last month.11. Don’t worry, all the jobs_____________(deal) perfectly so far although they are tough ones.12. The flowers are dead, you should_________(water) them in time.13. She does anticipate ___________(invite) to the Victoria Fashion Show as a VIP.II. Pattern shift. (10marks)1. The sculptors were careful to make the sculptures in Madam Tussaud’s.______ _____ _____ _____ the sculptors.to make the sculptures in Madam Tussaud’s.2. The movies were too attractive for me to resist.The movies were ______ _______ that_______ _______ _______ _______ .3. We didn’t know where to travel this holiday.We ________ _________ _______ where to travel this holiday.4. Having been told the news by his parents ,she didn’t say anything._________ ________ _________ by his parents ,she didn’t say anything.5. I think the policeman hit the thief on the head heavily with a bottle,___________?(tag question)6. They have spent nearly 3 years studying for the driving test. (rewrite the sentence by using “take”)_______________________________________________________________ 7.It seemed that the client agreed to sign the contract.( simple sentence )________________________________________________________________8 .The businessman asked Mary ,“Will you come to my party next weekend?”.The businessman asked Mary _______________________________________.9.He told us extremely terrible news when he came back from Africa. （exclamatory sentence）________________________________________________________________10. Have the visitors seen the plane fly over the building?(passive voice)________________________________________________________________11.If I was given another chance, I am sure I will succeed._______ ________ _________, I am sure I will succeed.III. Choose the wrong one from the sentences .1.Could you please speak loudly in order that I can hear it much clearly .2. You ‘ll find this map of great valuable in helping you to get round London .3.About 70 percent of students are from the south ,and the rest of them is from the northor foreign countries .4.Would you please to try your best to get a better method by which you can improveyour writing.5.The weather in summer in Beijing is hotter than it in Guangzhou.6.How could the students get the correct key of the question without being helped by theteachers .7.Catherina is the only one of the writers who write stories for children.8.The girl has fallen asleep for half a day because she worked very late last night .9.My mother bought me 3 novels yesterday ,but I found it quite boring .10.When I was at college I spoke three foreign languages ,but I had forgotten all exceptfew words of each .IV. Choose the word from the table and fill in the blanks with their proper forms.(10marks)environment necessarily allowed cheat internationaladmit hardly master joy excitement difficult communicateA friend of mine once asked me:“Why should a Chinese take time to learn alanguage that is not his own?” Obviously he has___1____ in learning a foreignlanguage .He is not the only one who is mentally against English learning. One reason ,asI suspect ,is the way English taught .The emphasis on memorization is such that no___2____ is left in the process of learning ,only endless annoyance . What students are presented in the classroom is not the language in real- world ___3____ . A Chinesestudent with extremely high scores for American standardized tests was___4____into one of the most famous universities .But his professors soon found out that he could___5____understand the lesson. Finding that he ___6____in the tests, the school asked him to repeat them. Again, he passed with high scores. Not till then they realized that the student ___7____ the techniques for dealing with the tests, not mastering the skills of using the language ..Many people take TOFEL, IELTS,GRE, annual Band 4 and Band 6 exams not because they work in areas where English is a ___8____tool ,but because they have to do it for job promotion or Enrolment in certain programs .Must English learning be such a pain in the neck? Create a(n)___9____where learning English is natural and painless .Don’t make it compulsory (强迫的)for people whose work or major does not require it . China will not become more ___10____by adding millions of people who can only say a simple “Hello”.1 2 3 4 56 7 8 9 10VV. Fill in the blanks according to the first letter to the words given and the context.Do you have bright ideas ? Ideas for inventions that c _________ society or, at least, make life easier for somebody? P_________ we all do sometimes, but we don't often make the idea a reality. Recently, there was a competition called British Designers for Tomorrow. The competition e_________ young people to carry out their bright ideas. There were t_________ groups in the contest: Group One was for schoolchildren under 16; Group Two was for schoolchildren o_________ 16, and there were eleven prize-winners altogether.Neil Hunt, one of the prize-winners, was c_________ "Sunshine Superman". It's important when people study the weather to be able to record sunshine accurately. We need to know how many h_________ of sunshine we have and how strong it is. Most sunshine recorders o_________ record direct sunlight. Neil's is more accurate and this is very i_________ for research into the way of using solar power. Neil plans to keep inventing.The ideas in the competition were so g_________ that we are surprised that British industry doesn't ask more schoolchildren for suggestions.change 2.Perhaps/Probably 3.encourage 4.two 5.over 6.called 7.hours 8.only 9.important 10.great/ goodVII. Reading. (10marks)We each have a memory .____1______ Some people have very good memories and they can easily learn many things by heart ,but some people can only remember things when they say or do them again and again _____2_____.____3_____Everybody learns his mother language when he is a small child. He hears the sounds, remembers them and then he learns to speak. Some children are living with their parents in foreign countries. ____4______In school it is not so easy to learn a foreign language because the pupils have so little time for it, and they are busy with other subjects, too. ___5____A．T hey can learn two languages as easily as one because they hear, remember and speak two languages every day.B．A good memory is a great help in learning a language.C. But your memory will become better and better when you do more and more exercises.D. That’s why we can still remember things after a long time.E .Many of the great men of the world have got surprising memories.DEBACVIII. CompositionWhat do you think are the symbols of success in China ?The answers of what success means vary from person to person and change from time to time .Please write a composition with your activities .You have to write according to the following requirements .1.please write with the title of “The symbols of success in today’s China “2.You have to give at least two symbols of success in today’s China from your point of view .3. Give reasons for your opinions .4. Words from 80 -100.。
2015年成都市成都外国语学校自主招生考试数学试卷(含解析)
2015年成都市成都外国语学校自主招生考试数学试卷（考试时间：120分钟满分：150分）第Ⅰ卷（选择题，共45分）一、选择题：每小题3分，共45分．1．﹣|﹣|的负倒数是（）A．B．C．D．2．计算：（a2b）3的结果是（）A．a6b B．a6b3C．a5b3D．a2b33．在式子，，，中，x可以取1和2的是（）A．B．C．D．4．如图，H7N9病毒直径为30纳米（1纳米＝10﹣9米），用科学记数法表示这个病毒直径的大小，正确的是（）A．30×10﹣9米B．3.0×10﹣8米C．3.0×10﹣10米D．0.3×10﹣9米5．的平方根是（）A．4 B．﹣4 C．2 D．±26．如图，AB∥CD，点E在BC上，且CD＝CE，∠D＝74°，则∠B的度数为（）A．68°B．32°C．22°D．16°7．已知a2﹣5a+1＝0，则a+﹣3的值为（）A．4 B．3 C．2 D．18．在平面直角坐标系中，点P（﹣2，a）与点Q（b，3）关于原点对称，则a+b的值为（）A．5 B．﹣5 C．1 D．﹣19．下列命题中真命题是（）A．有理数都能表示成两个整数之比B．各边相等的多边形是正多边形C．等式两边同时乘以（或除以）同一个实数，所得结果仍是等式D．相等的圆心角所对的弧相等，所对的弦相等10．已知|a|＝2，|b|＝3，则|a﹣b|＝5的概率为（）A．0 B．C．D．11．某几何体的主视图、左视图和俯视图分别如图所示，则该几何体的体积为（）A．3πB．2πC．πD．1212．某校九年级共有1100名学生参加“二诊”考试，随机抽取50名学生进行总成绩统计，其中有20名学生总成绩达到优秀，估计这次“二诊”考试总成绩达到优秀的人数大约为（）A．400 B．420 C．440 D．46013．若x1，x2是方程x2+2x﹣k＝0的两个不相等的实数根，则x12+x22﹣2是（）A．正数B．零C．负数D．不大于零的数14．已知△ABC的三边长分别为a、b、c，面积为s；△A′B′C′的三边长分别为a′，b′，c′，面积为s′，且a＞a′，b＞b′，c＞c′，则s与s′的大小关系一定是（）A．s＞s′B．s＜s′C．s＝s′D．不确定15．b＞a，将一次函数y＝ax+b与y＝bx+a的图象画在同一个直角坐标系内，则能有一组a、b的取值，使得如下四个图中为正确的是（）A．B．C．D．第Ⅱ卷（非选择题，共105分）二、填空题：本大题共6小题，每小题6分，共36分．16．函数有意义，则x 的取值范围是 ． 17．已知一组数据24、27、19、13、x 、12的中位数是21，那么x 的值等于 ．18．已知x 2﹣x ﹣1＝0，那么代数式x 3﹣2x+1的值是 ．19．如图，E 、F 是平行四边形ABCD 的边AB 、CD 上的点，AF 与DE 相交于点P ，BF 与CE 相交于点Q ．若S △APD ＝15cm 2，S △BQC ＝25cm 2，则阴影部分的面积为 cm 2．20．已知直线l 经过正方形ABCD 的顶点A ，过点B 和点D 分别作直线l 的垂线BM 和DN ，垂足分别为点M 、点N ，如果BM ＝5，DN ＝3，那么MN ＝ ．21．已知x 、y 、z 是三个非负实数，满足3x+2y+z ＝5，x+y ﹣z ＝2，若S ＝2x+y ﹣z ，则S 的最小值为 ．三、解答题：本大题共7小题，计69分，写出必要的推算或演算步骤．22．（7分）根据题意回答下列问题：（1）如果（a ﹣2）+b+3＝0，其中a 、b 为有理数，那么a ＝ ，b ＝ ．（2）如果（2+）a ﹣（1﹣）b ＝5，其中a 、b 为有理数，求a+2b 的值．23．（8分）逸夫楼前石室水景广场园林及道路改造项目是我校2012年校园文化﹣﹣环境文化建设的重点项目之一，该项目2012年2月11日正式动工，经过四个多月的紧张施工，于2012年6月5日竣工，若该工程拆除旧设施每平方米需要80元，建造新设施每平方米需要800元，计划拆除旧设施与建造新设施共9000平方米，在实施中为扩大绿化面积，新建设施只完成了计划的90%而拆除旧设施则超过了计划的10%，结果恰好完成了原计划的拆、建总面积．（1）求原计划拆、建面积各是多少平方米？（2）若绿化1平方米需要200元，那么把在实际的拆、建工程中节余的资金全部用来绿化，可绿化多少平方米？24．（8分）已知y＝m2+m+4，若m为整数，在使得y为完全平方数的所有m的值中，设m的最大值为a，最小值为b，次小值为c．（注：一个数如果是另一个整数的完全平方，那么我们就称这个数为完全平方数）（1）求a、b、c的值；（2）对a、b、c进行如下操作：任取两个求其和再除以，同时求其差再除以，剩下的另一个数不变，这样就仍得到三个数，再对所得三个数进行如上操作，问能否经过若干次上述操作，所得三个数的平方和等于2012？证明你的结论．25．（9分）已知：如图，AB是⊙O的直径，C是⊙O上一点，OD⊥BC于点D，过点C作⊙O的切线，交OD 的延长线于点E，连接BE．（1）求证：BE与⊙O相切；（2）连接AD并延长交BE于点F，若OB＝9，sin∠ABC＝，求BF的长．26．（12分）已知：在Rt△ABC中，∠C＝90°，AC＝4，∠A＝60°，CD是边AB上的中线，直线BM∥AC，E 是边CA延长线上一点，ED交直线BM于点F，将△EDC沿CD翻折得△E′DC，射线DE′交直线BM于点G．（1）如图1，当CD⊥EF时，求BF的值；（2）如图2，当点G在点F的右侧时；①求证：△BDF∽△BGD；②设AE＝x，△DFG的面积为y，求y关于x的函数解析式，并写出x的取值范围；（3）如果△DFG的面积为，求AE的长．27．（12分）如图，AB∥CD、AD∥CE，F、G分别是AC和FD的中点，过G的直线依次交AB、AD、CD、CE于点M、N、P、Q，求证：MN+PQ＝2PN．28．（13分）如图，已知抛物线y＝x2﹣（b+1）x+（b是实数且b＞2）与x轴的正半轴分别交于点A、B（点A位于点B的左侧），与y轴的正半轴交于点C．（1）点B的坐标为，点C的坐标为（用含b的代数式表示）；（2）请你探索在第一象限内是否存在点P，使得四边形PCOB的面积等于2b，且△PBC是以点P为直角顶点的等腰直角三角形？如果存在，求出点P的坐标；如果不存在，请说明理由；（3）请你进一步探索在第一象限内是否存在点Q，使得△QCO，△QOA和△QAB中的任意两个三角形均相似（全等可作相似的特殊情况）？如果存在，求出点Q的坐标；如果不存在，请说明理由．参考答案与试题解析1．【解答】解：﹣|﹣|＝﹣，﹣的负倒数是．故选：B．2．【解答】解：（a2b）3＝a6b3，故选：B．3．【解答】解：有意义的条件是x≠1，有意义的条件是x≠2，有意义的条件是x≥1，有意义的条件是x≥2，故选：C．4．【解答】解：30纳米＝30×10﹣9米＝3×10﹣8米．故选：B．5．【解答】解：∵＝4，∴4的平方根为±2，故选：D．6．【解答】解：∵CD＝CE，∴∠D＝∠DEC，∵∠D＝74°，∴∠C＝180°﹣74°×2＝32°，∵AB∥CD，∴∠B＝∠C＝32°．故选：B．7．【解答】解：∵a2﹣5a+1＝0，∴a2+1＝5a，∴a+＝5，a+﹣3＝5﹣3＝2，故选：C．8．【解答】解：∵点P（﹣2，a）与Q（b，3）关于原点对称，∴b＝2，a＝﹣3，则a+b的值为：2﹣3＝﹣1．故选：D．9．【解答】解：A、有理数包括整数和分数，整数可以表示为整数：1的形式，分数本身就是分子：分母的形式，故本选项正确；B、各边都相等，各角都相等的多边形是正多边形，故本选项错误；C、等式两边同时乘以（或除以）同一个实数（除数不为0），所得结果仍是等式，故本选项正确；D、在同圆或等圆中，相等的圆心角所对的弧相等，所对的弦相等，故本选项错误；故选：A．10．【解答】解：∵|a|＝2，|b|＝3，∴a＝±2，b＝±3，∴有|a﹣b|＝1，|a﹣b|＝5，|a﹣b|＝1，|a﹣b|＝5四种情况，∵|a﹣b|＝5的概率为＝．故选：B．11．【解答】解：根据三视图可以判断该几何体为圆柱，圆柱的底面半径为1，高为3，故体积为：πr2h＝π×1×3＝3π，故选：A．12．【解答】解：随机抽取了50名学生的成绩进行统计，共有20名学生成绩达到优秀，∴样本优秀率为：20÷50＝40%，又∵某校九年级共1100名学生参加“二诊”考试，∴该校这次“二诊”考试总成绩达到优秀的人数大约为：1100×40%＝440人．故选：C．13．【解答】解：∵x1，x2是方程x2+2x﹣k＝0的两个不相等的实数根，∴△＝b2﹣4ac＞0，即4﹣4×1×（﹣k）＞0，∴4+4k＞0，∴2+2k＞0，又∵x1+x2＝﹣，x1•x2＝，∴x1+x2＝﹣2，x1•x2＝﹣k，∴x12+x22﹣2＝（x1+x2）2﹣2x1x2﹣2＝2+2k，∵2+2k＞0，∴x12+x22﹣2＞0，故选：A．14．【解答】解：已知a＞a′，b＞b′，c＞c′，分三种情况讨论：①△ABC∽△A′B′C′，此时＝＞1，∴s＞s'；②设a＝b＝，c＝20，则＝10，由勾股定理得：h c＝＝1，∴s＝×20×1＝10，取a′＝b′＝c′＝10，则h c'＝10×sin60°＝5，∴s'＝×10×5＝25＞10，即s＜s'；③设a＝b＝，c＝20，则同②h c＝1，s＝10，取a′＝b′＝，c′＝10，则由勾股定理得h c'＝＝2，∴s'＝×10×2＝10，即s＝s'．∴s与s′的大小关系不确定．故选：D．15．【解答】解：A、假设y＝ax+b正确，则a＞0，b＞0，则函数y＝bx+a的图象应经过一、二、三象限，故本选项错误；B、假设y＝ax+b正确，则a＞0，b＞0，因为b＞a，所以函数y＝bx+a与y轴的交点在y＝ax+b与y轴交点的下方，故本选项正确；C、假设y＝ax+b正确，则a＜0，b＞0，则函数y＝bx+a的图象过一、三、四象限，因为函数y＝ax+b与y ＝bx+a的交点坐标为（1，a+b），由图象可知a≠﹣b和b＞a，两结论矛盾，故本选项错误；D、假设y＝ax+b正确，则a＜0，b＞0，则函数y＝bx+a的图象过一、三、四象限，故本选项错误．故选：B．16．【解答】解：由题意，得，解得x≥2且x≠3．故答案为x≥2且x≠3．17．【解答】解：根据题意，x的位置按从小到大排列只可能是：12，13，19，x，24，27．根据中位数是21得（19+x）÷2＝21．解得x＝23．故答案为：23．18．【解答】解：根据题意，x2﹣x＝1，∴x3﹣x2＝x，即x3﹣x＝x2，∴x3﹣2x+1＝x2﹣x+1＝1+1＝2，故答案为：2．19．【解答】解：如图，连接EF∵△ADF与△DEF同底等高，∴S△ADF＝S△DEF，即S△ADF﹣S△DPF＝S△DEF﹣S△DPF，即S△APD＝S△EPF＝15cm2，同理可得S△BQC＝S△EFQ＝25cm2，∴阴影部分的面积为S△EPF+S△EFQ＝15+25＝40cm2．故答案为40．20．【解答】解：如图1，在正方形ABCD中，∵∠NAD+∠BAM＝90°，∠ABM+∠BAM＝90°，∴∠NAD＝∠MBA，在△ABM和△ADN中，∵，∴△ABM≌△ADN（AAS），∴AM＝DN＝3，AN＝BM＝5，∴MN＝AM+AN＝8，如图2，在正方形ABCD中，∵∠DAN+∠BAM＝90°，∠ABM+∠BAM＝90°，∴∠NAD＝∠MBA，在△ABM和△ADN中，∵，∴△ABM≌△ADN（AAS），∴AM＝DN＝3，AN＝BM＝5，∴MN＝AN﹣AM＝2，综上所述：MN的值为2或8，故答案为：2或8．21．【解答】解：要使S取最小值，联立得到方程组，（1）+（2）得：4x+3y＝7，y＝，（1）﹣（2）×2得：x+3z＝1，z＝，把y＝，z＝代入S＝2x+y﹣z，整理得：S＝x+2，当x取最小值时，S有最小值，∵x、y、z是三个非负实数，∴x的最小值是0，∴S的最小值为2．故答案为：2．22．【解答】解：（1）由（a﹣2）+b+3＝0，得到a＝2，b＝﹣3；故答案为：2；﹣3；（2）由（2+）a﹣（1﹣）b＝5整理得：（a+b）+（2a﹣b﹣5）＝0，∵a、b为有理数，∴，解得：a＝，b＝﹣，则a+2b＝﹣．23．【解答】解：（1）由题意可设拆旧舍x平方米，建新舍y平方米，则答：原计划拆建各4500平方米．（2）计划资金y1＝4500×80+4500×800＝3960000元实用资金y2＝1.1×4500×80+0.9×4500×800＝4950×80+4050×800＝396000+3240000＝3636000∴节余资金：3960000﹣3636000＝324000∴可建绿化面积＝平方米答：可绿化面积1620平方米．24．【解答】解：（1）设m2+m+4＝k2（k为非负整数），则有m2+m+4﹣k2＝0，由m为整数知其△为完全平方数，即1﹣4（4﹣k2）＝p2（p为非负整数），（2k+p）（2k﹣p）＝15，显然2k+p ＞2k﹣p，∴或，解得：p＝7或p＝1，∴m＝，∴m1＝3，m2＝﹣4，m3＝0，m4＝﹣1，∴a＝3，b＝﹣4，c＝﹣1．（2）三个数，任意两个求其和，再除以，同求其差，再除以，剩下的一个数不变，经过两次这样的操作就又变成原来的三个数了，即（）2+（）2+p2＝m2+n2+p2，∵32+（﹣4）2+（﹣1）2≠2012．∴对a、b、c进行若干次操作后，不能使所得三个数的平方和等于2012．25．【解答】证明：（1）连接OC，∵OD⊥BC，∴∠COE＝∠BOE，在△OCE和△OBE中，∵，∴△OCE≌△OBE，∴∠OBE＝∠OCE＝90°，即OB⊥BE，∵OB是⊙O半径，∴BE与⊙O相切．（2）过点D作DH⊥AB，连接AD并延长交BE于点F，∵∠DOH＝∠BOD，∠DHO＝∠BDO＝90°，∴△ODH∽△OBD，∴＝＝又∵sin∠ABC＝，OB＝9，∴OD＝6，易得∠ABC＝∠ODH，∴sin∠ODH＝，即＝，∴OH＝4，∴DH＝＝2，又∵△ADH∽△AFB，∴＝，＝，∴FB＝．26．【解答】解：（1）∵∠ACB＝90°，AD＝BD，∴CD＝AD＝BD，∵∠BAC＝60°，∴∠ADC＝∠ACD＝60°，∠ABC＝30°，AD＝BD＝AC，∵AC＝4，∴AD＝BD＝AC＝4，∵BM∥AC，∴∠MBC＝∠ACB＝90°，又∵CD⊥EF，∴∠CDF＝90°，∴∠BDF＝30°，∴∠BFD＝30°，∴∠BDF＝∠BFD，∴BF＝BD＝4；（2）①证明：由翻折，得∠E′CD＝∠ACD＝60°，∴∠ADC＝∠E′CD，∴CE′∥AB，∴∠CE′D＝∠BDG，∵BM∥AC，∴∠CED＝∠BFD，又∵∠CE′D＝∠CED，∴∠BDG＝∠BFD，∵∠DBF＝∠GBD，∴△BDF∽△BGD；②由△BDF∽△BGD，得＝，∵D为AB的中点，∴BD＝AD，又∵BM∥AC，∴∠DBF＝∠DAE，∠BFD＝∠DEA，在△BFD和△AED中，∵，∴△BFD≌△AED（AAS），∴BF＝AE＝x，∴＝，∴BG＝，在Rt△ABC中，AB＝8，AC＝4，根据勾股定理得：BC＝＝4，∵点D到直线BM的距离d＝BC＝2，∴S△DFG＝FG•d＝（BG﹣BF）•d，即y＝×（﹣x）×2＝﹣x（0＜x＜4）；（3）（i）当点G在点F的右侧时，由题意，得6＝﹣x，整理，得x2+6x﹣16＝0，解得x1＝2，x2＝﹣8（不合题意，舍去）；（ii）当点G在点F的左侧时，如图3所示：同理得到S△DFG＝FG•d＝（BF﹣BG）•d，即y＝x﹣（x＞4），由题意，得6＝x﹣，整理，得x2﹣6x﹣16＝0，解得x3＝8，x4＝﹣2（不合题意，舍去），综上所述，AE的值为2或8．27．【解答】证明：延长BA、EC，设交点为O，则四边形OADC为平行四边形，∵F是AC的中点，∴DF的延长线必过O点，且．∵AB∥CD，∴．∵AD∥CE，∴．∴＝＝．又∵＝，∴OQ＝3DN．∴CQ＝OQ﹣OC＝3DN﹣OC＝3DN﹣AD，AN＝AD﹣DN．∴AN+CQ＝2DN．∴＝＝2．即MN+PQ＝2PN．28．【解答】解：（1）令y＝0，即y＝x2﹣（b+1）x+＝0，解得：x＝1或b，∵b是实数且b＞2，点A位于点B的左侧，∴点B的坐标为（b，0），令x＝0，解得：y＝，∴点C的坐标为（0，），故答案为：（b，0），（0，）；（2）存在，假设存在这样的点P，使得四边形PCOB的面积等于2b，且△PBC是以点P为直角顶点的等腰直角三角形．设点P的坐标为（x，y），连接OP．则S四边形PCOB＝S△PCO+S△POB＝••x+•b•y＝2b，∴x+4y＝16．过P作PD⊥x轴，PE⊥y轴，垂足分别为D、E，∴∠PEO＝∠EOD＝∠ODP＝90°．∴四边形PEOD是矩形．∴∠EPD＝90°．∴∠EPC＝∠DPB．∴△PEC≌△PDB，∴PE＝PD，即x＝y．由解得由△PEC≌△PDB得EC＝DB，即﹣＝b﹣，解得b＝＞2符合题意．∴P的坐标为（，）；（3）假设存在这样的点Q，使得△QCO，△QOA和△QAB中的任意两个三角形均相似．∵∠QAB＝∠AOQ+∠AQO，∴∠QAB＞∠AOQ，∠QAB＞∠AQO．∴要使△QOA与△QAB相似，只能∠QAO＝∠BAQ＝90°，即QA⊥x轴．∵b＞2，∴AB＞OA，∴∠Q0A＞∠ABQ．∴只能∠AOQ＝∠AQB．此时∠OQB＝90°，由QA⊥x轴知QA∥y轴．∴∠COQ＝∠OQA．∴要使△QOA与△OQC相似，只能∠QCO＝90°或∠OQC＝90°．（I）当∠OCQ＝90°时，△CQO≌△QOA．∴AQ＝CO＝．由AQ2＝OA•AB得：（）2＝b﹣1．解得：b＝8±4．∵b＞2，∴b＝8+4．∴点Q的坐标是（1，2+）．（II）当∠OQC＝90°时，△OCQ∽△QOA，∴＝，即OQ2＝OC•AQ．又OQ2＝OA•OB，∴OC•AQ＝OA•OB．即•AQ＝1×b．解得：AQ＝4，此时b＝17＞2符合题意，∴点Q的坐标是（1，4）．∴综上可知，存在点Q（1，2+）或Q（1，4），使得△QCO，△QOA和△QAB中的任意两个三角形均相似．。
成都外国语学校2015年数学直升试卷
成都外国语学校2015年初升高直升考试一、选择题（每小题3分，共45分） 1. 53--的负倒数是 （ B ） A. 35- B. 35 C. 53- D. 53 2. 计算：（a 2b ）3的结果是 （ B ）A. a 6bB. a 6b 3C. a 5b 3D. a 2b 33. 在式子11-x ，21-x ，1-x ，2-x 中，x 可以取1和2的是 （ C ） A. 11-x B. 21-x C. 1-x D. 2-x 4. H7N9病毒直径为30纳米（1纳米=10-9米），用科学计数法表示这个病毒直径的大小，正确的是（ B ）A. 30×10-9米B. 3.0×10-8米C. 3.0×10-10米D. 0.3×10-9米 5. 16的平方根是（ D ）A.4B.-4C.2D.2±6. 如图，AB//CD,点E 在BC 上，CD=CE,∠D=74°，则∠B 的度数为（ B ）A. 68°B. 32°C. 22°D. 16°7. 已知a 2-5a+1=0,则a+a1-3的值为（ C ） A. 4 B. 3 C. 2 D. 18. 在平面直角坐标系中，点P （-2，a ）与点Q （b,3）关于原点对称，则a+b 的值为（ D ）A.5B.-5C.1D.-19. 下列命题中真命题是（ A ）A. 有理数都能表示成两个整数之比B. 多边相等的多边形是正方形C. 等式两边同时乘以同一个实数，所得结果仍是实数D. 相等的圆心角所对的弧相等，所对的弦相等10. 已知2a =，3=b ，则5=-b a 的概率为（ B ） A. 0 B.21 C. 31 D. 4111. 某几何体的主视图，左视图和俯视图分别如下，则该几何体的体积为（ A ）A. 3πB. 2πC. πD. 1212. 某校九年级共有1100名学生参加“二诊”考试，随机抽取50名学生进行总成绩统计，其中有20名学生成绩达到优秀，估计这次“二诊”考试总成绩达到优秀的人数约为（ C ）A. 400B. 420C. 440D. 46013. 若21x x 、是方程022=-+k x x 的两个不相等的实数根，则22221-+x x 是（ A ）A. 正数B. 零C. 负数D. 不大于零的数14. 已知△ABC 三边长分别为a,b,c ，面积s ；△A 'B 'C '的三边长分别为a '、b '、c '，面积为s '，且a>a ',b>b ',c>c,'则s 与s '的大小关系一定是（ D ）A. s>s 'B. s<s 'C. s=s 'D. 不确定15. b>a,将一次函数y=ax+b 与y=bx+a 的图像画在同一个直角坐标系内，则能有一组a,b 的取值，使得如下四个图为正确的是（ B ）二、填空题（本大题共6小题，每小题6分，共36分）16、函数 312-+-=x x y 有意义，则x 的取值范围是_______. 答案：x ≥2且x ≠3.17、已知一组数据24,27,19,13，x ，12的中位数是21，那么x 的值等于_______. 答案：2318、已知012=--x x ，那么代数式122+-x x 的值是_______.答案：219、如图，E 、F 分别是平行四边形ABCD 的边AB 、CD 上的点，AF 与DE 相交于点P ，BF 与CE 相交于点Q ，若,,222515cm S cm S BQ C APD ==∆∆则阴影部分面积为_______2cm . 答案：4020、已知直线l 经过正方形ABCD 的顶点A ，过点B 和点D 分别作直线l 的垂线BM 和DN ，交直线l 于点M ，点N ，如果BM=5，DN=3，那么MN=______.答案：2或821、已知x 、y 、z 是三个非负实数，满足3x+2y+z=5,x+y-z=2,若S=2x+y-z ，则S 的最小值为_______.答案：2三、解答题：（共80分）22.（7分）根据题意回答下列问题：（1）如果()03b 22=++-a ，其中a,b 为有理数，那么a=_____,b=______;（2）如果()()52122=--+b a ，其中a,b 为有理数，求a+2b 的值.23.（8分）逸夫楼前石室水景广场园林及道路改造项目是我校2012年校园文化——环境文化建设的重点项目之一，该项目2012年2月11日正式动工，经过四个多月的紧张施工，于2012年6月5日竣工.若该工程拆除旧设施每平方米需要80元，建设新设施每平方米需要800元.计划拆除旧设施与建筑新设施共9000平方米，在实施中为扩大绿化面积，新建设施只完成了计划的90%而拆除旧设施则超过了计划的10%，结果恰好完成了原计划的拆、建总面积.（1）求原计划拆、建面积各是多少平方米；（2）若绿化1平方米需要200元，那么把在实际的拆、建工程中节余的资金全部用来绿化，可绿化多少平方米？24. （8分）已知42++=m m y ，若m 为整数，在使得y 为完全平方数的所有m 的值中，设m 的最大值为a ，最小值为c.（注：一个数如果是另一个整数的完全平方，，那么我们就称这个数为完全平方数.）()1 求a 、b 、c 的值；()2 对a 、b 、c 进行如下操作：任取两个求其和再除以2，同时求其差再除以2，剩下的另一个数不变，这样就仍得到三个数，再对所得三个数进行如上操作，问能否经过若干次上述操作，所得三个数的平方和等于2012？证明你的结论。
【VIP专享】成都市2015年高中阶段教育学校统一招生考试(附答案)
成都市2015年高中阶段教育学校统一招生考试化学(满分90分，考试时间60分钟)可能用到的相对原子质量：C - 12 O - 16 Ca - 40第1卷(选择题，共42分)一、选择题(本题包括l4个小题，每小题3分，共42分。
每小题只有一个选项符合题意) ( )1．下列变化属于化学变化的是A．酒精挥发B．石蜡熔化C．粮食酿酒D．水凝成冰( )2．空气的组成成分中，体积分数最大的是A．O2B．N2C．CO2D．稀有气体( )3．不属于新能源开发和利用的是A．火力发电B．风力发电C．氢燃料客车D．太阳能电池路灯( )4．通常状况下，下列溶液的溶质为液体的是A．蔗糖溶液B．酒精溶液C．氯化钠溶液D．澄清石灰水( )5．实验室用氯酸钾和二氧化锰制取氧气，有关该实验的说法错误的是A．二氧化锰是反应物B．与高锰酸钾制取氧气的发生装置相同C．可用向上排空气法收集D．可用带火星的木条检验氧气( )6．对下列现象或事实的解释错误的是选项现象或事实解释A气体易被压缩分子间的间隔大B墙内开花墙外香分子在不停运动C物体热胀冷缩分子可变大可变小D1个水分子的质量约为3×10-26kg分子很小( )7．下列说法正确的是A．燃烧是人类最早利用的化学反应之一B．可燃物温度达到着火点即可燃烧C．图书档案起火宜用水基型灭火器扑灭D．不慎碰倒酒精灯，酒精在桌面燃烧，用水来灭火( )8．下列有关化肥和农药的说法错误的是A．氯化钾可用作钾肥B．化肥能有效提高农作物产量C．农药施用后，不会通过农作物转移到人体D．农药应根据农作物、虫害和农药的特点合理施用( )9．下图是某化学反应的微观示意图(“”与“”代表不同种元素的原子)。
甲乙有关说法不正确的是A．甲中的一个分子由三个原子构成B．化学反应的实质是原子的重新组合C．该反应可能是水的电解D．该反应前后元素的化合价不变( )10两种微粒的结构示意图是和，其中相同的是A．电子数B．质子数C．电子层数D．所带电荷数( )11．下列属于置换反应的是A．3CO + Fe2O3Error! 2Fe + 3CO2B．CH4 + 2O2Error! CO2 + 2H2OC．Zn + H2SO4 = ZnSO4 + H2↑D．Na2CO3 + CaCl2 = CaCO3↓+ 2NaCl( )12．将60℃的硝酸钾溶液降温至20℃，有晶体析出。
2015年成都某成外、成实外、成实外西区三校联合招生入学数学真卷和名师详解[28]
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2015年成都某成外、成实外、成实外西区三校联考招生入学数学真卷（满分：120分时间：90分钟）A 卷（60分）一、判断（每小题2分，共12分）1.全明星投球比赛中，詹姆斯投出101个球，命中100个，命中率为100%。
（ ）2.一个长方形的长增加50%，宽减少了31，面积不变。
（ ） 3.一个奇数和一个偶数，它们的最大公约数一定是奇数，最小公倍数一定是偶数。
（ ）4.（导学号 90672029）能把44颗糖分给10个小朋友，而且每人分到的糖的颗数都不一。
（ ）5.在右图中，圆柱和圆锥的体积相等。
（ ）6.（顺水速度一逆水速度）÷2=水速。
（ ）二、选择题。
（每小题2分，共12分）1.（导学号 90672030）如右图，一个棱长是4厘米的正方体，从它的一个顶点处挖去一个棱长是1厘米的正方体后，剩下物体的表面积和原来的表面积相比较（ ）。
A.大了B.小了C.不变D.无法确定2.下面的游戏（ ）是不公平的。
A.掷骰子，点数大于3甲赢，点数小于3乙赢。
B.抛硬币，正面朝上甲赢，反面朝上乙赢。
C.盒子里面有3个红球，5个黄球和2个白球，摸到黄球甲赢，摸到红球或白球乙赢。
3.小明班里的同学平均身高是1.4米，小强班里的同学平均身高是1.5米，小明和小强相比，（ ）。
A.小明高B.小明矮C.一样高D.无法确定4.半圆的周长是这个半圆直径的（ ）倍。
A.22+π B.2π C.π D.π2 5.在371、π、314%、∙∙41.3这四个数中，最大的数是（ ）。
A.371 B.π C.314% D.∙∙41.3 6.一列往返于成都和重庆之间的列车，全程停靠7个车站（包括起点站和终点站），共需准备（ ）种不同的车票。
A.14B.21C.42D.49三、填空（每小题3分，共36分）1.如果规定a*b=5×a-21×b ，其中a 、b 是自然数，那么10*6= 。
2.一桶油，第一天用去它的30%，第二天用去10千克，两天共用去这桶油的52，则用去两天后还剩 千克油。
四川省成都外国语学校初2015-2016学年初一下学期半期考试语文试题.doc
成都外国语学校2015-2016学年下期期中考试初一语文试卷命题人：晏光勇审题人：杜夕军注意事项：1．全卷分A卷和B卷，A卷满分100分，B卷满分50分；考试时间120分钟。
2．在作答前，考生务必将自己的姓名、准考证号涂写在试卷和答题卡规定的地方。
3．选择题部分必须使用2B铅笔填涂；非选择题部分必须使用0．5毫米黑色的签字笔书写，字体工整、笔迹清楚。
4．请按照题号在答题卡上各题目对应的答题区域内作答，超出答题区域书写的答案无效。
5．保持答题卡清洁，不得折叠、污染、破损等。
A卷（共100分）第Ⅰ卷（选择题共24分）一、基础知识（每小题3分，共12分）1．下列加点字的注音全都正确的一项是（）A.哺．育（bŭ）崎岖．（qū）骊．歌（lí）气冲斗．牛(dǒu)B.赫．然（hè）哽咽．（yè）蝉蜕．（tuì）锲．而不舍（qì）C.炽．痛（zhì）菜畦．（qí）花圃．（pŭ）义愤填膺．（yīn）D.污秽．（huì）亘．古（gèng）嫉．妒（jí）鲜．为人知（xiăn）2、下列词语中书写完全正确的一项是( )(2分)A、人声鼎沸万丈狂澜芳草萋萋锋芒必露B、迥乎不同亦复如是杂乱无章家喻户晓C、妇儒皆知鞠躬尽瘁寻欢作乐一反既往D、丛山叠岭一拍既合一泻万里博学多识3. 下列语句中加点的成语使用有误的一项是( )(2分)A、为了实现心中的梦想，在中考冲刺阶段，同学们刻苦学习，几乎达到了忘乎所以．．．．的程度。
B、在乒乓球世锦赛中，李晓霞针对对手的特点，随机应变．．．．，巧妙运用各种战术，赢得胜利。
C、人生路上有时山高难攀，海阔难越，只要我们锲而不舍．．．．，定会登上理想之巅，到达梦想之岸。
D、四川爱乐交响乐团每月举办的免费音乐会，将音乐无与伦比．．．．的美，带给了成都的广大市民。
4. 下面句子没有语病的一项是（）A.能否杜绝“到此一游”这种不文明现象，关键是提升公民的文明素养。
2014-2015学年度下期成都外国语学校八年级水平监测语文试题(一)祥解
2014-2015学年度下期成都外国语学校八年级水平监测（一）语文试题本试卷分第I卷（选择题）和第Ⅱ卷（非选择题）两部分。
总分150分。
考试时间120分钟。
第Ⅰ卷（选择题，满分24分）注意事项：1．答题前，考生务必将自己的姓名、班级、考号用0.5毫米的黑色墨水签字笔填写在答题卡上。
并检查条形码粘贴是否正确。
2．选择题使用2B铅笔填涂在答题卡对应题目标号的位置上，非选择题用0.5毫米黑色墨水签字笔书写在答题卡对应框内，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。
3．考试结束后，将答题卡收回。
一、选择题。
下面各题均有四个选项，其中只有一个符合题意，选出答案后在机读卡上用铅笔把对应题目的选项字母涂黑涂满。
（共24分，每小题3分）1．下列词语中加点的字读音正确．．的一项是A．庇．护(pì) 哂．笑(xī) 解剖．(pōu) 即物起兴．(xìng)B．蜿．蜒(wǎn) 污秽．(huì) 执拗．(niù) 颔．首低眉(hán)C．模．样(mó) 迸．射(bèng) 挑衅．(xìn) 长吁．短叹(yū)D．吞噬．(shì) 真谛．(dì) 狩．猎(shòu) 雨后春笋．(sǔn)2．下列各组中没有错别字．．．．．的一项是A．缄默不可思义引经踞典不值一提B．蓬蒿苍海桑田远见卓识全军覆没C．迁徙粗制滥造不容置疑心安理得D．憔悴一视同仁相形见拙孤漏寡闻3．依据对下列各组词语中加点字的解释，判断词语意思不正确．．．的一项是A．致．敬——致．意解释：“致”有“给予，向人表达”的意思。
判断：“致敬”指向人敬礼或表示敬意。
“致意”指向人表示问候之意。
B．熟．知——熟．视无睹解释：“熟”有“常见，清楚地知道”的意思。
判断：“熟知”指清楚地知道。
“熟视无睹”指虽然经常看到，却跟没有看初二语文试题第1页（共11页）见一样。
2015年成都外国语学校初升高直升考试
6题BA成都外国语学校2015年初升高直升考试考试时间：110分钟 满分：120分 姓名： 得分： . 一、选择题（共15小题，每小题3分，共45分） 1、53--的负倒数是 （ ） A .35- B .35 C .53- D .532、计算：32)(b a 的结果是 （ ）A .b a 6B .36b aC .35b aD .32b a 3、在式子11-x ，21-x ，1-x ，2-x 中，可以取1和2的是 （ ） A .11-x B .21-x C .1-x D .2-x 4、97N H 病毒直径为30纳米（1纳米=910-米），用科学记数法表示这个病毒直径的大小，正确的是 （ ）A .91030-⨯米B .8100.3-⨯米C .10100.3-⨯米D .9103.0-⨯米 5、16的平方根是 （ ）A .4B .4-C .2D .2±6、如图，AB ∥CD ，点E 在BC 上，CE CD =，︒=∠74D ，则B ∠的度数为 （ ）A .︒68B .︒32C .︒22D .︒167、已知0152=+-a a ，则31-+aa 的值为 （ ）A .4B .3C .2D .18、在平面直角坐标系中，点P （2-，a ）与点Q （b ，3）关于原点对称，则b a +的值为 （ ）A .5B .5-C .1D .1- 9、下列命题中是真命题的是 （ ）A .有理数都能表示成两个整数之比第（6）题图俯视图左视图主视图B .各边相等的多边形是正多边形C .等式两边同时乘以同一个实数，所得结果仍是等式D .相等的圆心角所对的弧相等，所对的弦相等 10、已知2=a ，3=b ，则5=-b a 的概率为 （ ）A .0B .21C .31D .4111、某几何体的主视图.左视图和俯视图分别如下，则该几何体的体积为 （ ）A .π3B .π2C .πD .1212、某校九年级共有1100名学生参加“二诊”考试，随机抽取50名学生进行总成绩统计，其中有20名学生总成绩达到优秀，估计这次“二诊”考试总成绩达到优秀的人数大约为 （ ）A .400B .420C .440D .460 13、若1x .2x 是方程022=-+k x x 的两个不相等的实数根，则22221-+x x 是 （ ）A .正数B .零C .负数D .不大于零的数 14、已知ABC ∆的三边长分别为a .b .c ，面积为s ；C B A '''∆的三边长分别为a '.b '.c '，面积为s '，且a a '>，b b '>，c c '>，则s 与s '的大小关系一定是 （ ）A .s s '>B .s s '<C .s s '=D .不确定15.将一次函数b ax y +=与a bx y +=的图象画在同一个直角坐标系内，则能有一组a .b 的取值，使得如下四个图中为正确的是 （ ）二、填空题（共5小题，每小题3分，共15分） 16、分解因式：=+-+a a a 8)3)(3( .A. B. C. D.17、如图，D 是ABC ∆的边BC 上一点，已知4=AB ，2=AD ，B DAC ∠=∠，若ABD ∆的面积为a ，ACD ∆的面积为 .18、若不等式⎩⎨⎧->+<121m x m x 无解，则m 的取值范围是 .19、在平面直角坐标系xOy 中，A （0，2），B （0，6），动点C 在直线x y -=上，若以A 、B 、C 三点为顶点的三角形是等腰三角形，则点C 的个数为 .20、设a x x x =++12（0≠a 且21≠a ），则1242++x x x 的值为 . 三、解答题（共8小题，共80分） 21、（每小题5分，共10分）（1）计算：02)14.3(45cos )21(30tan 360cos 2π-+︒---︒+︒⋅--（2）先化简，再求值)221(42122---÷-++x xx x x x ，其中x 为数据4，5，6，5，3，2的众数。
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6题
B
A
成都外国语学校2015年初升高直升考试
考试时间：110分钟 满分：120分 姓名： 得分： . 一、选择题（共15小题，每小题3分，共45分） 1、5
3
-
-的负倒数是 （ ） A .35- B .35 C .53
- D .53
2、计算：32)(b a 的结果是 （ ）
A .b a 6
B .36b a
C .35b a
D .32b a 3、在式子
11-x ，21
-x ，1-x ，2-x 中，可以取1和2的是 （ ） A .
11-x B .2
1-x C .1-x D .2-x 4、97N H 病毒直径为30纳米（1纳米=910-米），用科学记数法表示这个病毒直径的大小，
正确的是 （ ）
A .91030-⨯米
B .8100.3-⨯米
C .10100.3-⨯米
D .9103.0-⨯米 5、16的平方根是 （ ）
A .4
B .4-
C .2
D .2±
6、如图，AB ∥CD ，点E 在BC 上，CE CD =，︒=∠74D ，则B ∠的度数为 （ ）
A .︒68
B .︒32
C .︒22
D .︒16
7、已知0152
=+-a a ，则31
-+a
a 的值为 （ ）
A .4
B .3
C .2
D .1
8、在平面直角坐标系中，点P （2-，a ）与点Q （b ，3）关于原点对称，则b a +的值为 （ ）
A .5
B .5-
C .1
D .1- 9、下列命题中是真命题的是 （ ）
A .有理数都能表示成两个整数之比
B .各边相等的多边形是正多边形
第（6）题图
俯视图
左视图
主视图
C .等式两边同时乘以同一个实数，所得结果仍是等式
D .相等的圆心角所对的弧相等，所对的弦相等 10、已知2=a ，3=b ，则5=-b a 的概率为 （ ）
A .0
B .21
C .31
D .4
1
11、某几何体的主视图.左视图和俯视图分别如下，则该几何体的体积为 （ ）
A .π3
B .π2
C .π
D .12
12、某校九年级共有1100名学生参加“二诊”考试，随机抽取50名学生进行总成绩统计，
其中有20名学生总成绩达到优秀，估计这次“二诊”考试总成绩达到优秀的人数大约为 （ ）
A .400
B .420
C .440
D .460 13、若1x .2x 是方程022=-+k x x 的两个不相等的实数根，则22
22
1-+x x 是 （ ）
A .正数
B .零
C .负数
D .不大于零的数 14、已知ABC ∆的三边长分别为a .b .c ，面积为s ；C B A '''∆的三边长分别为a '.b '.c '，面
积为s '，且a a '>，b b '>，c c '>，则s 与s '的大小关系一定是 （ ）
A .s s '>
B .s s '<
C .s s '=
D .不确定
15.将一次函数b ax y +=与a bx y +=的图象画在同一个直角坐标系内，则能有一组a .b 的取值，使得如下四个图中为正确的是 （ ）
二、填空题（共5小题，每小题3分，共15分） 16、分解因式：=+-+a a a 8)3)(3( .
17、如图，D 是ABC ∆的边BC 上一点，已知4=AB ，2=AD ，B DAC ∠=∠，若ABD ∆的面
积为a ，ACD ∆的面积为 .
A. B. C. D.
18、若不等式⎩⎨⎧->+<1
21
m x m x 无解，则m 的取值范围是 .
19、在平面直角坐标系xOy 中，A （0，2），B （0，6），动点C 在直线x y -=上，若以
A 、
B 、
C 三点为顶点的三角形是等腰三角形，则点C 的个数为 .
20、设a x x x =++1
2（0≠a 且21
≠a ），则12
4
2++x x x 的值为 . 三、解答题（共8小题，共80分） 21、（每小题5分，共10分）
（1）计算：02)14.3(45cos )21
(30tan 360cos 2π-+︒---︒+︒⋅--
（2）先化简，再求值
)2
21(42122---÷-++x x
x x x x ，其中x 为数据4，5，6，5，3，2的众数。
22、（8分）用配方法解方程02=++c bx ax （0≠a ），并由此推出根与系数的关系
B
23、（10分）用三种方法证明：直角三角形斜边上的中线等于斜边的一半.
已知，如图，︒=∠90BCA ，DB AD =
求证: AB CD 21
=
证法1： 证法2： 证法3：
24、（10分）
解方程：x
x x x x x -+
-+-+-+-=53
413424113
B
F
E
25、（10分）一艘巡逻船在海面C 处望见一灯塔A 在它的正北方向，另一个灯塔B 在它的北
偏西︒60，此船向正西航行1海里后到D ，这时灯塔A ，B 分别在它的东北、西北方向，求两灯塔之间的距离（精确到0.1海里）
26、（10分）如图，正方形ABCD 中，DC 的中点为E ，F 为CE 的中点，求证：BAF DAE ∠=∠2
1
27、（10分）如图，直线AB 经过A （1，0），B （0，1）
两点，动点P 在双曲线x
y 21
=（0>x ）
上运动，x
PN⊥轴，垂足分别为M、N，PM，PN与直线AB分别交于PM⊥轴，y
点E，F
（1）求证：矩形OMPN的面积为定值；
（2）求：BE
AF⋅的值；
（3）求动点P到直线AB的最短距离。
28、（12分）已知，在ABC
∆中，AD为BAC
∠的平分线，以C为圆心，CD为半径的半圆交
∠＝，FE：4
B∠
BC的延长线于点E，交AD于点F，交AE于点M，且CAE
FD：3。
＝
（1）求证：DF
AF＝；
∠的余弦值；
（3）如果10
∆的面积。
BD，求ABC
＝。