成都七中中美国际高中2012入学考试模拟试卷
四川省成都七中高三模拟考试四英语
成都七中高2012级模拟考试英语试卷考试时间：120分钟试题满分：150分本试卷分第一卷（选择题）和第二卷（非选择题）两部分。
第一卷第1至11页，第二卷第12页，全卷共12页。
第一卷（选择题，共100分）第一部分：英语知识运用（共两节，满分50分）第一节单项填空（共20小题；每小题1分，满分20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。
1．The word "globe" commonly refers to ____ we call "world"．A．where B．that C．which D．what 2．The sum of money is to support companies that will ____ not be able to survive the economic crisis.A．therefore B．otherwise C．meanwhile D．though 3．More and more people will go abroad for further studies in the few years ____．A．coming B．come C．to come D．having come 4．So addicted to computers ____ that the leaders in the summer camps often had to force them to break for sports．A．the children did become B．did the children becomeC．the children became D．became the children5. Dora has some shortcomings but ______ she seems like an intelligent, likable person.A. on the contraryB. up to nowC. to be exactD. on the whole6. Shopping on the Internet enables people not to search for goods from one store to ______.A. othersB. the otherC. anotherD. the rest7. New surveys suggest that people are more stressed and working longer hours than ever withtechnological tools constantly ______.A. updatingB. updatesC. updatedD. to update8. Beyonce, a leading ______ in the music industry, gave birth to her daughter on Saturday.A. statueB. figureC. brandD. attraction9.The conference came to ____ end at 11:00 last night, but we all think it was ____ failure．A．the; 不填 B．不填; a C．an; 不填D．an; a10. ______the phenomenon of “bystander effect” in the Yueyue event, most Chinese stronglybelieve that there still exist love and warmth in people’s hearts.A. In spite ofB. In addition toC. Because ofD.In terms of11. ---- I regret to say that I failed to rank first in the contest.---- Come on, nobody ______win all the time.A. shouldB. mustC. shallD. can12．—Is the White House _____ to ordinary visitors?—Of course, but you need to make an appointment ahead of time．A．available B．acceptable C．adaptable D．accessible 13. Although he talked for half an hour, I still can' t understand how on earth his remarks_____what we are discussing now．A．turn to B．relate to C．come to D．refer to14. There are many examples throughout the world ______ talented players are ignored by theirnational managers.A. whenB. whereC. whichD. whose15.––Have you seen my e-mail about our TESL project?––Yes. Luckily I checked my e-mails yesterday. Normally I ______ my e-mail box for days.A. don’t openB. didn’t openC. hadn’t openedD. haven’t opened16. It is said that people are ______ likely to tell lies over the phone as they are in emails.A. as twiceB. twice asC. twice moreD. twice than17. —It’s better for you to listen more in your spare time.—I think your suggestion deserves ______.A. consideringB. being consideredC. consideredD. be considered18. —Did you go to the show last night?—Yes, many a boy and many a girl in the area ______ invited.A. wereB. has beenC. wasD. have been19. —I am terribly sorry, sir. I thought it was a parking place.—______. Here is your ticket.A. It doesn’t matterB. You are rightC. I can’t agree with youD. Sorry, that’s no excuse20. A study shows that walking fast in your old age is a ______ that you will live a long life.A. signB. markC. symbolD. signal第二节完形填空(共20小题；每题1.5分，满分30分)阅读下面短文，掌握其大意，然后从21--40各题所给的四个选项（A、B、C、D）中，选出最佳答案。
成都七中2011-2012学年度高三年级一诊模拟考试理综
成都七中2011-2012学年度高三年级一诊模拟考试理科综合试卷本试卷分第一部分（选择题）和第二部分（非选择题）两部分，第一部分1至5页，第二部分5至12页。
考生作答时，须将答案答在答题卡上，在本试题卷、草稿纸上答题无效。
满分300分。
考试时间150分钟。
考试结束后，将本试题卷和答题卡一并交回。
注意事项：1．答第Ⅰ卷前，考生务必将自己的姓名、学号、考试科目涂写在答题卡上。
考试结束，将答题卡交回。
2．每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号，不能答在试题卷上。
第Ⅰ卷本卷共21小题，每小题6分，共126分可能用到的原子量：H—1 O—16 N—14 C—12 Na—23 Fe—56 Ba—137 S—32 一、选择题（本题包括13小题，每小题只有一个选项符合题意）1．甲状腺细胞可以将氨基酸和碘合成甲状腺球蛋白，并且将甲状腺球蛋白分泌到细胞外，其过程如下图所示。
下列叙述错误的是()A．若含18O的氨基酸在甲状腺细胞内的代谢过程中产生了H218O，那么水中的18O最可能来自于氨基酸的－COOHB．细胞内的碘浓度远远高于血浆中的碘浓度，这表明a是主动运输过程C．与c过程有关的细胞器是内质网、高尔基体、线粒体D．上图中③结构是将氨基酸组装成蛋白质的主要场所2．某同学看到如下表所示的血液检查结果后，产生以下想法。
其中错误的是（）A．谷丙转氨酶较低，可能有肝细胞病变B．尿素氮含量正常，目前肾脏比较健康C．血糖过高，肯定会出现尿糖D．血脂偏高，应少吃油腻食物3．以下关于动植物个体发育的叙述正确的是（）A．被子植物种子形成过程中，球状胚体的细胞不进行光合作用是因为缺乏相应基因B．在自然状态下，豌豆的豆荚和其内种子胚的基因组成是不一致的C．在原肠胚发育为幼体的过程中，子代细胞内的DNA和RNA都与亲代细胞保持相同D．甲状腺激素和生长激素在动物的胚后发育中起着很重要的作用4．取某种植物幼茎等长切段若干（无芽无叶）均分为四组。
中美国际高中入学考试模拟试卷(化学)
成都七中中美国际高中2012入学考试模拟试卷（化学）满分：50分考试时间：30分钟一.选择题（本题包括5个小题，每小题4分，共20分。
每小题只有一个选项．．．．．．符合题意）1．下列变化中属于化学变化的是（）A．干冰用于人工降雨 B.澄清石灰水在空气中露置表面形成一层白膜C. 饱和石灰水升温后变浑浊 D.汗水浸泡的衣服晾干后出现白色斑迹2. 下列化学方程式符合题意且书写正确的是（）A．酸雨呈酸性的原因：CO2+H2O=H2CO3B．用含氢氧化铝的药物治疗胃酸过多：Al(OH)3+3HCl=AlCl3+3H2OC．除去NaOH溶液中的少量Na2CO3：Na2CO3+2HCl=2NaCl+H2O+CO2↑D．证明铁是金属活动性顺序表中氢之前的金属：2Fe+6HCl=2FeCl3+3H2↑3．右图是某反应的微观示意图，其中不同的球代表不同的原子。
下列说法与图示相符的是（）A．可表示H2 + CuO =△= Cu + H2O的反应B．该反应属于分解反应C. 可表示2HI + Cl2＝ 2HCl + I2的反应D. 参加该反应的粒子个数比为3：24．右图是甲、乙两种固体物质的溶解度曲线。
下列说法正确的是（）A．t2℃时甲的饱和溶液的溶质质量分数小于30% Array B．甲的溶解度随温度变化比乙小C．t1℃时，甲、乙饱和溶液的溶质质量分数不相等D．可采用降低温度的方法使乙的饱和溶液变为不饱和溶液5．下列图象能正确反映其对应操作中各量变化关系的是（）A．用一定质量的高锰酸钾加热制氧气B．向一定质量锌粒中加入过量的稀盐酸化学模拟试卷第1 页共3页C．向一定温度下的饱和氢氧化钙溶液中加入氢氧化钙固体D．分别向等质量的锌和铁中加入溶质质量分数相同的稀盐酸至过量二.填空题（本题包括3个小题，共25分）6．（8分）家庭中有许多我们熟悉的物质：（1）食醋中的主要成分是醋酸（CH3COOH）、水和氯化钠。
1个醋酸分子中含有个原子。
中美国际高中入学考试模拟试卷(数学)
成都七中中美国际高中2012入学考试模拟试卷（数学）满分：100分 考试时间：60分钟注意事项：1．全卷分A卷和B卷，A卷满分50分，B卷满分50分。
2．考生在试卷相应位置作答，答在草稿纸上无效。
A卷（共50分）注意事项：A卷选择题均有四个选项，只有一项符合题目要求。
每小题选出答案后，填在相应空格处。
一、选择题。
（本大题共10个小题，每小题3分，共30分）1．4的算术平方根是A． B． C． D．2．下列三条线段能组成三角形的是A．1，2，3 B．2，2，4 C．3，4，5 D．3，4，83．如果单项式与是同类项，那么这两个单项式的积是A． B． C． D．4．由一些大小相同的小正方体组成的几何体的俯视图，如图所示，其中正方形中的数字表示该位置上的小正方体的个数，那么，这个几何体的左视图是5．若点在第四象限，则点所在象限是A．第一象限 B．第二象限 C．第三象限 D．第四象限6．如图，梯形ABCD的对角线AC、BD相交于O，G是BD的中点．若AD=3，BC=9，则GO∶BG=A．1∶2 B．1∶3C．2∶3 D．11∶207．已知圆锥的高是8cm，母线长是10cm，则该圆锥侧面展开图的圆心角为A． B． C． D．8．关于x的一元二次方程有实数根，则的取值范围是A． B．且C． D．且9．如图，在⊙O的内接四边形ABCD中，AB是直径，∠BCD=130°，过D的切线PD与直线AB交于P点，则∠ADP的度数为A．40° B．45° C．50° D．65°10．函数和在同一平面直角坐标系内的图像可能是A B C D二、填空题（本大题共5个小题，每小题4分，共20分）11．一生物老师在显微镜下发现，某种植物的细胞直径约为0.000000195米，将该数据用科学记数法表示为 米．12．如图，把矩形沿对折后使两部分重合，若，则= ．1AEDCBF（12题）13．一天，小青在校园内发现：旁边一棵树在阳光下的影子和她本人的影子在同一直线上，树顶的影子和她头顶的影子恰好落在地面的同一点，同时还发现她站立于树影的中点，如图所示．如果小青的身高为1.7米，由此可推断出树高是 米．14．已知抛物线的顶点坐标为，则的值为 ．15、如图（1），已知小正方形ABCD的面积为1，把它的各边延长一倍得到新正方形；把正方形边长按原法延长一倍得到正方形（如图2）；以此下去…，则正方形的面积为____ _____.B卷（共50分）一、填空题（每小题4分，共20分）1．某市民政部门五一期间举行“即开式福利彩票”的销售活动，发行彩票10万张（每张彩票2元），在这些彩票中，设置如下奖项：奖金100050010050102（元）数量1040150400100010000（个）如果花2元钱购买1张彩票，那么所得奖金不少于50元的概率是 ．第2题2．如图所示是重叠的两个全等的直角三角形．将其中一个直角三角形沿方向平移得到．如果，，，则图中阴影部分的面积为 ．3．已知、、是△ABC中、、的对边，若关于的方程有两个相等的实根，且，则 ．4．已知一列数，，…，（为正整数）满足，，请通过计算推测出．（用含的代数式表示）5．如图，在平面直角坐标系中，直线与轴、轴分别相交于点A、B，点P从A点出发，沿射线AO方向以每秒1个单位长度的速度在轴上运动．当点P运动了t秒（）时，以P点为圆心的圆与直线相切于点D，与轴从左至右依次相交于E、F两点，过F作FG⊥DF交轴于点G，连结DG．则当 时，以F、O、G为顶点的三角形与△DFG相似．5题图二、（共8分）26．某市为了进一步改善居民的生活环境和城市面貌，决定增加公园和公园的绿化面积，要对两个公园各铺设一块新草坪．从园林管理处得知：公园新草坪的面积比公园新草坪的面积的2倍少200；公园新草坪的面积比公园新草坪的面积的多400．（1）分别求出公园、需铺设新草坪的面积；（2）已知甲、乙两地分别有同种草皮和出售，且售价一样．若园林管理处向甲、乙两地购买草皮，其路程和运费单价见下表：公园公园路程（千米）运费单价（元）路程（千米）运费单价（元）甲地300.25200.25乙地250.3400.3（注：运费单价指将每平方米草皮运送1千米所需的人民币．）请设计出总运费最省的草皮运送方案，并说明理由．三、（共10分）27．如图，AB、AC分别是⊙O的直径和弦，点E是劣弧上一点，弦EF⊥AB于D，交AC于点G，过点C作⊙O的切线交FE的延长线于点P．（1）求证：PC=PG；（2）点E在劣弧的什么位置时，才能使成立，为什么？（3）在满足（2）的条件下，取DF的中点M，连接AM并延长交⊙O于点N，连接BN．若，，求图中阴影部分的面积．四、（共12分）28．已知直线与轴和轴分别交于A、C两点，抛物线经过点A、C，点B是抛物线与轴的另一个交点．（1）求抛物线的解析式及点B的坐标；（2）设点P是直线AC上一点，且，求点P的坐标；（3）设点E是直线BC上一动点，过E作轴的平行线与（1）中所求的抛物线交于点F，则在轴上是否存在点M，使得△MEF是等腰直角三角形？若存在，求出所有符合条件的点M的坐标；若不存在，请说明理由．。
中美国际高中入学考试模拟试卷(英语)
International High School ProgramChengdu No.7 High SchoolEntrance Test成都七中中美国际高中入学考试(Mock Exam Paper: English)英语模拟试卷(120 minutes Full Score 150)时间：120分钟满分：150Paper I: Listening (15 minutes 16 marks)A.For Questions 1-10, you will hear 10 short dialogues and decide whether the followingstatements are true or false. Listen and mark “T” or “F” on the answer sheet. You’ll hear the recording TWICE.1. The driver puts the man’s bag in the trunk.2. The woman refuses the man’s suggesti on.3. Lynne is having a potluck party.4. Chris is a vegetarian.5. The customer needs the salesperson’s help right now.6. The food at the restaurant was so-so.7. The man tells the woman not to do something.8. Helen feels better.9. Cindy is talking about the job that she has now.10. Bob is going to start jogging before work.B.For questions 1-6, you will hear a series of short conversations. Please write the answerto each question on the line provided. Your answer should be as brief as possible. You will hear each item TWICE.1. Where will Alberto find the tea?2. At what point exactly will the three students appear in the concert?3. When will the friends go swimming?4. Where will the tour meeting take place?5. How will teachers know who wants to attend their revision class?6. What is Lili’s problem AND how might this be resolved?Paper II: Reading (65 minutes 54 marks)A.For questions 1-10, please look at the sentences below about a journey to the Arctic onboard a ship. Read the following text to decide if each sentence is correct or incorrect.If it is correct, mark T on your answer sheet.If it is not correct, mark F on your answer sheet.Exploring the ArcticThe Arctic is one of the few places in the world untouched by pollution where you can see nature at its wildest and most beautiful. Join our ship the Northern Star from 2 to 18 July, for a 17-day voyage to the Arctic. During the voyage you are able to relax and get away from it all. There are no parties or film-shows to attend, quizzes to enter, or entertainers to watch. However, we do have specialists on board who are willing to answer any of your questions about the Arctic and who will talk about the animals and birds that you see on the trip.After setting off from Scotland, we go north along the coast of Norway to Bear Island. Along the way you'll see thousands of seabirds and wonderful scenery, with rivers of ice and huge cliffs. You will have the chance to see reindeer, polar bears, and other Arctic animals.Although we have a timetable, experience has shown that we may have to change our direction a little, depending on the weather and on which animals appear.The Northern Star is a very special ship and our past voyages have been very popular. Our cabins all have the same excellent facilities, which include a private bathroom and refrigerator. Our chefs are happy to prepare any food for people on special diets. Choose just what you want to eat from the wide variety available from the dining room buffet. There is a library, shop, clinic and plenty of space for relaxation. If you need some exercise, why not go jogging every morning around the decks, or do some swimming in the indoor pool.Prices include economy class air travel and 16 nights on board the Northern Star, all meals and excursions and all lectures.Day 1 Board the Northern Star.Days 2–7 We sail slowly north along the coast of Norway,stopping at places of interest.Day 8 Tromso. You need to get up at sunrise to see thewhales as we sail towards Tromso. Visit Tromso tosee the Arctic Museum, the cathedral and the beautifulold wooden houses. In the evening we sail away alongthe west coast to Bird Island, which is excellent forbird-watching.Days 9–10 Bear Island. We arrive here in the early evening andstay overnight. Bear Island once had an active fishingindustry, but today little of this remains. We will explorethe island, looking out for Arctic flowers.Days 11–16 Spitsbergen. A place of mountains and rivers of ice, itis home to a large variety of animals.Day 17 Leave the ship in Spitsbergen and fly to London fromTroms.B.Please read the text about behaviors on airplane and answer questions 1-8.Air rage is the current expression for aggressive or disruptive behavior of airline passengers. It comes from the term road rage, used to describe drivers whose rude and hostile attitude toward others can lead to serious accidents or violence.Major airlines are becoming increasingly concerned about air rage and are training their staff to deal with it. At the same time, they are introducing tougher policies and supporting legislation that will allow local police to arrest offenders when they land. A special agreement, known as the 1963 Tokyo Convention, allows for the arrest of troublesome passengers on landing, even if they are not citizens of that country and did not technically commit a crime there.The problem of air rage may start before passengers even board the plane and may become worse on board. Reasons for air rage include heavy traffic on the way to the airport, long check-in lines, the amount of alcohol available both in the waiting area and given out free on board the plane, and strict enforcement of no-smoking laws at the airport and on the flight itself.Airline staff are trained to spot a potential troublemaker and to deal with violent behavior by talking to the person. For more serious cases, handcuffs and straitjackets are kept on board, although these are used only as a last resort. Fortunately, incidents involving serious violence are rare, but air rage is increasingly becoming an issue of concern for all airlines.1、Air rage and road rage refer to aggressive behavior by ____________a.passengers in cars or planes.b.airline passengers and car drivers.c.car drivers and airline pilots.d.airline passengers and crews.2.According to this passage, air rage _____________a.is a more serious problem today than it was 25 years ago.b.is a problem that more and more airline companies are dealing with.c.is a problem that became very serious in the 1960s.d.occurs more on certain airlines than on others.3.The Tokyo Convention enables local police _________________a.to introduce tougher policies.b.to arrest people while flying over their country.c.to arrest aggressive passengers of any nationality.d.to use handcuffs and straitjackets to restrain aggressive passengers.4.According to this passage, which of the following factors contributes to air rage?a. a difficult journey to the airportb.smoking on boardc.restrictions on alcohold.handcuffs and straitjackets being kept on board5.From this passage we can understand that airline staff will watch out for _______________a.heavy smokers.b.heavy drinkers.c.people who are nervous about flying.d.people who start talking to aggressive passengers.6.The phrase as a last resort in the last paragraph means ______________a.in a far-away vacation spot.b.if the plane cannot return to the airport.c.after everything else has failed.d.with potential troublemakers.7.What might the airline crew do to control air rage on the plane?a.allow the passenger to smokeb.arrest the passengerc.restrain the passengerd.behave rudely to the passenger8.The writer's main purpose in this passage is to _________________a.discuss the phenomenon of air rage.b.explain the reasons for air rage.c.suggest solutions for airline staff faced with air rage.d.warn passengers about air rage.C.Please read the following article about men who hunt for birds’ nests in caves inThailand, and then answer questions 1-9 in your own words on a separate answer sheet.The Nest Hunters of Tam YaiSwiftlets are shy birds that make their nests in the remotest corners of deep caves. They have the ability to fly fast and straight like arrows around the interior of the cave walls. Like some other birds, they build their nests with their saliva, the juicy liquid from their own mouths. This juice hardens quickly to make a small nest, shaped like a cup. These nests are called “white gold”, because they can be sold for thousands of dollars in the Chinese food markets. It is these nests for which the hunters of Tam Yai are prepared to risk their lives.Tam Yai cave in southern Thailand is the largest network of caves inside a limestone mountain, known as Suwan Kuha, meaning “cave temple”. It has been given this name because it contains a large area decorated with statues of Buddhas. High above the statues, in the far corners of the cave complex, is where the nests are to be found.The nest hunters climb barefoot up dangerous bamboo poles hundreds of metres above the ground to collect these valuable nests. They rarely use safety equipment, and if they fall, they will die instantly. These nests can only be reached by the bravest and most skilled climbers, and they are often only able to reach the highest nests with the aid of a stick and a net.Nest hunting is a skill passed down in families from father to son. Because of the profits that can be made, the competition among rival climbers is fierce. There are armed guards at the entrance to the cave to protect the nests from thieves. In Tam Yai, there are also strict laws to prevent illegal hunting and to ensure proper co llecting, or “harvesting”, of the nests. As a result, the birds are a protected species and the number of swiftlets is growing. Nest harvesting begins in March and if the harvest is collected at the correct time of year, each swiftlet will lay eggs three times a season. Once the young birds have hatched and flown, the nests can be collected and sold to the Chinese food industry as the vital ingredient in bird’s nest soup.The recipe for the highly valued bird’s nest soup is centuries old, and the soup is sa id to have a value in prolonging life. Chinese doctors often prescribe it for people who are suffering from skin conditions, lung disease and breathing problems.It is important to prepare the nests thoroughly when they arrive in the restaurant kitchens. Firstly they are washed, soaked and boiled until they have a soft, rubber-like texture. Then they are mixed with meat and coconut and all the ingredients are cooked together. The nest itself is not delicious, in fact it has hardly any taste. As one Chinese chef says: “It is the other ingredients which give the soup its flavour. The nest is soft and crunchy, and when you prepare it you must be careful to remove all traces of the bird, such as bones or feathers. This is because Chinese people appreciate the way it feels in their mouth rather than the taste and smell.”It is an exotic dish in a multi-million dollar market. The nests themselves are small; they weigh less than 10 grams and measure just a few centimetres. But for the nest hunters the risks are great indeed.Questions:1. What happens to the saliva when the birds build their nests?2. Why do the hunters take such great risks to collect the nests?3. Which country buys most of the birds’ nests?4. Why is Suwan Kuha regarded as a temple?5. What makes the job of nest hunting particularly dangerous? Give TWOdetails.6. According to the graph, how does the price of birds’ nests in 2008compare to that of 1968?7. How is the business of nest hunting in Tam Yai controlled? Give TWOdetails.8. How is bird’s nest soup important for health?9. How does the soup get its taste?Paper III: Use of English (20 minutes 60 marks)A.ClozeSchool’s Art SaleLast Friday parents helped collect lots of money for a school by buying children’s pictures.A primary school in Bicester used its classrooms as an art gallery for a day and (1) ............parents to come and look. All the pupils (2) ............ a work of art and (3) ............ painting went on sale at £5. Hundreds of parents and relations came and, together, they spent(4) ............ £2,000.Now the school is (5) ............ of making the exhibition bigger next year by also contacting businesses (6) ............ operate in the local area. One of the schoolchildren’s parents first had the (7) ............ after going to (8) ............ exhibitions in her home country, South Africa.The school has decided to (9) ............ the money to buy books and CD players. The Head Teacher said he was delighted to see the school (10) ............ full and he was very proud of the children.1 A hoped B invited C pleased D wished2 A operated B played C performed D produced3 A few B some C each D all4 A over B more C close D near5 A planning B thinking C considering D wanting6 A what B who C which D whose7 A memory B idea C habit D choice8 A same B likely C similar D equal9 A bring B add C join D use10 A so B too C such D enoughB.Grammar and Vocabulary Multiple Choices1. We don't have any milk left. _____ ?a. don't youb. are wec. do wed. have you2. I tried on two sweaters, but I didn't buy _____ of them.a. eitherb. nonec. neitherd. any3. If they ________________ the car earlier, they wouldn't have gotten stuck on the road.a. were checkedb. did checkc. had checkedd. checked4. I saw every episode in that _____________ television series.a. ten-partsb. tens-partc. tens-partsd. ten-part5. "How are you managing with the new computer program?""Not great. I ___________ to figure it out yet.'"a. can't have managedb. haven't managedc. don't managed. haven't been managing6. I've been trying ____________ Sue all morning.a. to callb. callingc. calld. to have called7. You ___________ close all the windows before you leave the house.a. needb. shouldc. oughtd. might8. He was accused ______________ stealing money from the store.a. inb. forc. byd. of9. We stayed up to watch TV ___________ it was very late.a. despiteb. in spite ofc. althoughd. even10. "I have a headache. Can you get me an aspirin?" "Sure. ________ get you one right now."a. I'm able tob. I'm goingc. I ought tod. I'll11. It will take you _______ three hours to drive to the campsite.a. greatlyb. entirelyc. approximatelyd. annually12. We didn’t get to the meeting on time __________ a traffic jam.a. causingb. because ofc. owing tod. due to13. I have to make an _________ with my dentist.a. arrangementb. assignmentc. interviewd. appointment14. The sign on the front tells you the ________ of each bus.a. resortb. destinationc. agencyd. port15. The school must be very old. When was it ___________ up?a. posedb. evolvedc. setd. founded16. I really like Jan and Dave. They’re very good ___________.a. societyb. companyc. associatesd. friendship17. The letter is okay, but you _________ a few words in the last line.a. leftb. omittedc. avoidedd. lost18. I want to move out of the city because I find __________ life exhausting.a. ruralb. remotec. urband. country19. She doesn’t talk about her feelings. She’s a very __________ person.a. insincereb. passivec. reservedd. upset20. Jim __________ his brother to lend him $ 500.a. imposedb. persuadedc. requiredd. desiredPaper IV: Writing (20 minutes 20 marks)Please write a short paragraph of about 150 words and tell us what your favorite TV program is, what it is about, and why you enjoy watching it.。
成都七中中美国际高中高二插班考试模拟试卷(英语)
2012 KP 3 Entrance ExamExam Paper 1Exam Duration: 2 hoursExam Content: 4 Parts--Listening, English in Use, Reading and WritingExam Full Mark: 100 PointsExam Instruction: Please answer all the questions in the exam paper and fill in the corresponding boxes on the answer sheet.Part 1 Listening (20 points in total)Section A You will hear people talking in eight different situations. For questions 1-8, choose the best answer (A, B or C). You will listen twice. (1 point each)1. You hear someone talking about football referees. What is the speaker‟s attitude towards referees?A. They make too many mistakes.B. They deserve sympathy.C. Some are better than others.2. You hear a famous chef talking about his week. What does he say about what happened during the week?A. He had a problem that was not his fault.B. He didn‟t want to appear on so many programmes.C. He had his first experience of live TV.3. You hear someone talking about her career in dancing. What does she emphasize?A. the contribution made by her parentsB. how much hard work she didC. her desire to be a dancer4. You hear someone talking on the phone at work. Who is she talking to?A. a colleagueB. her bossC. a client5. You hear a radio presenter talking about a book. What feeling does the presenter express about the book?A. doubt that it does exactly what it says it doesB. amazement at how up to date its information isC. curiosity about how it was written6. You hear part of an interview with a famous comedian. What does he say about his school days?A. The teachers never criticized him.B. He was only good at one subject.C. Other people found him amusing.7. You hear someone talking about a person he knows. What is the speaker doing?A. complainingB. apologizingC. arguing8. You hear a tour guide talking to a group of visitors to a museum. What does he tell them about the museum?A. It‟s easy to get lost in it.B. Big groups aren‟t allowed some parts of it.C. It‟s better only to visit a small part of it.Section B. You will hear five different people talking about cities they have visited. For questions 1-5, choose from the list (A-F) the opinion each person gives about the city. Use the letters only once. There is one extra letter which you do not need to use. You will listen to the tape twice. (1 point each)A. It was exactly as I had imagined.(1) Speaker 1 ________B. It is not as good as it used to be.(2) Speaker 2 ________C. It is hard to find your way around it.(3) Speaker 3 ________D. It is overrated.(4) Speaker 4 ________E. It can get too crowded.(5) Speaker 5 ________F. It was even better than I expected.Section C. Listen and complete the table below. Write NO MORE THAN THREE WORDS for each answer. You will listen twice. (1 point each)Part 2 English in Use (24 points in total)A. Multiple choices (1 point each)1. We haven‟t discussed yet ______ we are going to place our new furniture.A. thatB. whichC. whatD. where2. Though _____ to see us, the professor gave us a warm welcomeA. surpriseB. was surprisedC. surprisedD. being surprised3. The island is ____ attractive in spring and autumn because of the pleasant weather in both seasons.A. partlyB. merelyC. nearlyD. equally4. I refuse to accept the blame for something _____ was someone else‟s fault.A. whoB. thatC. asD. what5. In ancient times, people rarely travelled long distances and most farmers only travelled _____ the local market.A. longer thanB. more thanC. as much asD. as far as6. ____ you may have, you should gather your courage to face the challenge.A. However a serious problemB. What a serious problemC. However serious a problemD. What serious a problem7. She‟d only just stubbed out one cigarette when she lit another.The above sentence is the same as:A. Hardly had she stubbed out one cigarette when she lit another.B. Hardly did she stub out one cigarette when she lit another.C. Hardly when she lit another had she stubbed out one cigarette.D. Hardly had she stubbed out one cigarette that she lit another.8. – I‟m sorry, but I don‟t quite follow you, Did you say you wanted to return on September20?-- Sorry, I _____ myself clear. We want to return on October 20.A. hadn‟t madeB. wouldn‟t makeC. don‟t makeD. haven‟t made9. _____ in my life impressed me so deeply as my first visit to the Palace Museum.A. AnythingB. NothingC. EverythingD. SomethingB. Cloze (1 point each)Direction: For questions 1-15, read the text below and decide which answer (A,B,C or D) best fits each gap.MENTORINGMany adults in America and increasing numbers elsewhere (1) ______ part in mentoring schemes. A mentor is an adult who provides support and friendship to a young person. There are (2) _______ different (3) _______ of mentoring: passing on skills, sharing experiences, offering guidance. Sometimes the most (4) _______ thing to do is just listen. Mentoring is open to anybody – no particular (5) _______ experience is required, just a desire to make a (6) ______ to the life of a young person who needs help. This may seem a difficult thing at first, but many people find they have a real (7) _______ for it.The support of a mentor can play an important (8) ______ in a child‟s development and can often make up (9) ______ a lack of guidance in a young person‟s life. It can also improve young people‟s (10) _______ towards society and build up their (11) ______ in dealing with life‟s challenges. For the mentor, it can be incredibly rewarding to know that they have had a significant (12) ______ on a child and helped to give them the best possible (13) ______ in life. Indeed, it is not only adults who are (14) ______ of taking on this role. There is now an increasing (15) ______ for teenagers to mentor younger children, for example by helping them with reading or other school work.1. A. hold B. give C. take D. form2. A. number B. numerous C. multiple D. masses3. A. approaches B. means C. manners D. ways4. A. helpful B. willing C. kind D. recommended5. A. trained B. expert C. professional D. skilled6. A. move B. switch C. difference D. distance7. A. ability B. skill C. strength D. talent8. A. piece B. part C. role D. section9. A. to B. for C. with D. over10. A. attitude B. impression C. approach D. conduct11. A. knowledge B. belief C. confidence D. hope12. A. change B. result C. factor D. influence13. A. availability B. risk C. chance D. ability14. A. able B. capable C. good D. efficient15. A. want B. wish C. demand D. lackPart 3 Reading (26 points in total)A. Passage 1 (2 points each)The work of the railroad pioneers in America became the basis for a great surge of railroad building halfway through the nineteenth century that linked the nation together as never before. Railroads eventually becam e the nation‟s number one transportation system, and remained so until the construction of the interstate highway system halfway 5through the twentieth century. They were of crucial importance in stimulating economic expansion, but their influence reached beyond the economy and was pervasive in American society at large.By 1804, English as well as American inventors had experimented with steam engines for moving land vehicles. In 1920, John Stevens ran a locomotive and cars around in a 10circular track on his New Jersey estate, which the public saw as an amusing toy. And in 1825, after opening a short length of track, the Stockton to Darlington Railroad in England became the first line to carry general traffic. American businesspeople, especially those in the Atlantic coastal region who looked for better communication with the West, quickly became interested in the English experiment. The first company in 15America to begin actual operations was the Baltimore and Ohio, which opened a thirteen- mile length of track in 1830. It used a team of horses to pull a train of passenger carriages and freight wagons along the track. Steam locomotive power didn‟t come into regular service until two years later.However, for the first decade or more, there was not yet a true railroad system. Even the longest of the lines was relatively short in the 1830‟s, and most of them served simply to 20connect water routes to each other, not to link one railroad to another. Even when two lines did connect, the tracks often differed in width, so cars from one line couldn‟t fit onto tracks of the next line. Schedules were unreliable and wrecks were frequent. Significantly, however, some important developments during the 1830‟s and 1840‟s included the 25introduction of heavier iron rails, more flexible and powerful locomotives, and passenger cars were redesigned to become more stable, comfortable, and larger. By the end of 1830 only 23 miles of track had been laid in the country. But by 1936, more than 1,000 miles of track had been laid in eleven States, and within the decade, almost 3,000 miles had been constructed. By that early age, the United States had already surpassed Great 30Britain in railroad construction, and particularly from the mid-1860‟s, the late nineteenth century belonged to the railroads.1 The word “their” in line 6 refers to(a) railroad pioneers(b) railroads(c) the interstate highway system(d) American society2 Which of the following can be inferred from the passage?(a) The United States regarded Great Britain as a competitor in developing the most efficient railroad system(b) Steam locomotive power was first used in 1832(c) American businessmen saw railroads as a threat to established businesses(d) Steam locomotives replaced horses because of the distances across the country3 The author concludes that for the first decade or more, there was not yet a true railroad system because(a) passenger cars were not stable, comfortable or large(b) locomotives were not powerful enough(c) schedules were unreliable and wrecks were frequent(d) lines were relatively short and not usually linked4 Which of the following is NOT true about the 1830‟s and 1840‟s (line 24)(a) passenger cars became larger(b) schedules were reliable(c) locomotives became more powerful(d) tracks were heavier5 The word “stable” in line 26 is closest in meaning to(a) fixed(b) supportive(c) reliable(d) sound6 By what time had almost 3,000 miles of track been laid?(a) 1830(b) 1836(c) 1840(d) mid-1860s7 The word “surpassed” in line 29 is closest in meaning to(a) exceeded(b) beaten(c) overtaken(d) equaled8 Where in the passage does the author outline the main conclusions about the importance of railroads in America?(a) Lines 3-7(b) Lines 14-18(c) Lines 19-21(d) Lines 29-319 Why does the author include details about Great Britain in the passage?(a) To compare developments in both the United States and Great Britain(b) To illustrate the competitiveness between the two countries(c) To show where Americans got their ideas and technology from(d) To provide a more complete historical contextB. Passage 2 (2 points each)Coolest Hotels in the WorldAriau Aragon TowersThe Ariao Amazon T owers hotel lets you sleep in a tree house. Eight towers make up this hotel that offers over 300 rooms. If you really want to get into the spirit, book the Tarzan Suite which is large enough for a big family. You‟ll be thirty feet up in the air and can travel between the towers through their wooden walkways.Prices: starting at $300 one night for each person for a regular room and going all the way up to $3000 for the Tarzan Suite.For more information, visit the website: The Ice HotelEvery winter in Jukkasjarvi, Sweden, a special kind of hotel called the Ice Hotel is built. Each year, world-famous artists are invited to design and produce works of art from the ice, many of which can be found in the rooms. You‟ll have your choice between hot or cold rooms but you will be well advised to stay at least one night in a cold room for a true experience.Prices: starting at $318 one night for each person for either a cold room or a warm one.For more information, visit the website:Propeller IslandPropeller Island City Lodge is a very special hotel that was designed by a German artist. Each room provides you with the possibility of living in a work of art. Every single piece of furniture in the thirty rooms of the hotel has been hand-made and each room is completely different. You‟ll be able to choose a room based on your own personal tastes.Prices: starting at just $91 a night, and an additional person for only 20 extra dollars.For more information, visit the website: For more information about other cool hotels in the world, visit the website:1. What is special about the Ariau Amazon Towers hotel?A. You can sleep in tree house.B. You can choose any of the towers.C. It is designed for big families.D. Every room has a walkway.2. For more persons spending a night in one of these hotels, they have to pay at least ___.A. $111B. $182C. $600D. $6363. Which website should you visit if you want to find out whether there exists a hotel under the sea?A. B. C. D. 4. Which hotel would invite artists to come to work every year?A. Propeller Bland City Lodge.B. Arian Amazon Towers.C. The Ice Hotel.D. Bahama Beach Club.Part 4 Writing (30 points)Direction: You see the competition in an English language magazine.Please follow exactly the instructions to write your competition entry, giving your views. You need to write approximately 250 words.。
成都七中2012届高三下期入学考试题和详解
成都七中2012届高三下期入学考试题(文)命题人:廖学军本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分。
共150分。
考试时间120分钟。
参考公式：如果事件A 、B 互斥，那么 球是表面积公式P(A+B)=P(A)+P(B) S=4πR 2如果事件A 、B 相互独立，那么 其中R 表示球的半径)()()(B P A P B A P ⋅=⋅ 球的体积公式 如果事件A 在一次试验中发生的概率是P ，那么 334R V π=n 次独立重复试验中恰好发生k 次的概率 其中R 表示球的半径kn k kn n P P C k P --=)1()(一、 选择题：本大题共12个小题，每小题5分，共60分，在每小题给出的四个备选项中，只有一项是符合题目要求的．（1） 设全集U ＝{x ∈N *|x <6}，集合A ＝{1,3}，B ＝{3,5}，则∁U (A ∪B )＝( ) A ．{1,4} B ．{1,5} C ．{2,4} D ．{2,5}（2） 过定点作圆(x-2)2+y 2=4的切线,若这样的切线有且仅有两条,则定点可能是( ) A.(2,2) B.(2,1) C.(3,2) D.(4,0)（3） 将y=2cos(x 3+π6)的图象按向量→a =(-π4,-2)平移，则平移后所得图象的解析式为( )Ａ．y=2cos(x 3+π4)-2 Ｂ．y=2cos(x 3-π4)+2 Ｃ．y=2cos(x 3-π12)-2 Ｄ．y=2cos(x 3+π12)+2（4） 在各项均为正数的等比数列{a n }中,若a 5a 6=9,则13log a +23log a +…+103log a的值为( ) A.12 B.10 C.8 D.2+log 35（5） 某校共有1200名学生，现采用分层抽样中的方法抽取一个容量为200的样本进行健康状况调查，若抽到的男生比女生多10人，则该校男生的人数为( ) A ．610 B ．700 C ．660 D ．630 （6） ∆ABC 中，点D 在AB 上，CD 平方∠ACB ．若→CB=→a ，→CA=→b ，|→a |=1，|→b |=2，则→CD= A.13→a +23→b B.23→a +13→b C.35→a +45→b D.45→a +35→b （7） 在平面直角坐标系中，若不等式组⎩⎪⎨⎪⎧x ＋y －1≥0，x －1≤0，ax －y ＋1≥0，(a 为常数)所表示的平面区域的面积等于2，则a 的值为( )A ．－5B ．1C ．2D ．3 （8） 下面四个命题：①“直线a ∥直线b ”的充要条件是“a 平行于b 所在的平面”； ②“直线l ⊥平面α内所有直线”的充要条件是“l ⊥平面α”；③“直线a 、b 为异面直线”的充分不必要条件是“直线a 、b 不相交”；④“平面α∥平面β”的必要不充分条件是“α内存在不共线三点到β的距离相等．” 其中正确命题的序号是 ( )A ．①②B ．②③C ．②④D ．③④（9） 如图所示，过抛物线y 2＝2px(p>0)的焦点F 的直线l 交抛物线于点A 、B ，交其准线于点C ，若|BC|＝2|BF|，|AF|＝3，则此抛物线的方程为( )A ．y 2＝32xB ．y 2＝9xC ．y 2＝92xD ．y 2＝3x（10） 正四棱锥V —ABCD 的五个顶点在同一个球面上，若其底面边长为4，侧棱长为26，则球的表面积是( )A ．18πB ．36πC ．72πD ．9π（11） 某班进行班干部选举，从甲、乙、丙、丁四人中选出3人分别担任班长、副班长、团支书，则上届任职的甲、乙、丙三人没有连任原职的概率是( ) A ．512 B ．1124 C ．12 D ．1324（12） 设f(x)是定义在R 上的奇函数，且当x ≥O 时,f -1(x)=x ，若对任意的x ∈[t ，t+2]，不等式f(x)≤12f(x+t)恒成立，则实数x 的取值范围是( )．A.[2,+∞)B.[-2,-1]∪[0,2]C. [2,+∞)D.(0,2] 二、填空题：本大题共4小题每小题4分，共16分。
四川省成都七中2011-2012学年高二下学期入学考试数学试题
一、选择题(本大题共12小题,每小题5分,共60分.在每个小题给出的四个选项中,只有一项是符合题目要求的)1.椭圆4x 2+y 2=4的长轴长为A.21B.1C.2D.4 2.设P 是异面直线a 、b 外的一点,则过点PA.有且只有一条直线l 与a 、b 都平行B.有且只有一条直线l 与a 、b 都垂直C.有且只有一个平面α与a 、b 都平行D.有且只有一个平面α与a 、b 都垂直3.一个正方体内接于球,过球心作一截面,则截面图形不可能．．．是4.已知O 为坐标原点,P 是椭圆13422=+y x 上的一点,F 是其左焦点,M 为线段PF 的中点,则ΔOMF 的周长为A.3B.4C.5D.6 5.若双曲线x 2+ky 2=1的焦点到相应准线的距离为23,则实数k 的值为 A.31 B.3 C.-3 D.-316.如右图程序运行后输出的结果是18,则程序中?应该是A.0B.1C.2D.37.过抛物线y 2=4x 的焦点F 作直线l 交抛物线于A 、B 两点,若线段AB 的中点M 到y 轴的距离为3,则|AB |等于A. B. C. D.A.8B.7C.6D.58.已知a >b >0,设椭圆12222=+b y a x 、双曲线12222=-b y a x 和抛物线y 2=2abx 的离心率分别为e 1、e 2、e 3，则A.e 1e 2<e 3B.e 1e 2=e 3C.e 1e 2>e 3D.与a 、b 取值有关 9.设α、β、γ是三个不同的平面,a 、b 、c 是三条不同的直线,已知α∩β=a ,β∩γ=b ,α∩γ=c .给出如下结论:①若a ∥b ,则b ∥c ; ②若a ∩b =A ,则b ∩c =A ; ③若a ⊥b ,b ⊥c ,则α⊥β,α⊥γ; ④若α⊥β,α⊥γ,则a ⊥b ,b ⊥c . 其中正确的结论有A.1个B.2个C.3个D.4个10.设直线l 经过双曲线x 2-22y=1的右焦点F ,且与双曲线交于A 、B 两点,若|AB |=4,则这样的直线l 有A.1条B.2条C.3条D.4条11.已知直线l 与平面α成45º角,P 是α内的一点,则在平面α内过点P 且与l 成60º角的直线有A.1条B.2条C.3条D.无数条12.在正四面体(各个面都是正三角形)ABCD 中,ΔABC 内的动点P 到平面BCD 的距离与到点A 的距离相等,则动点P 的轨迹是A.一条线段B.椭圆的一部分C.双曲线的一部分D.抛物线的一部分第Ⅱ卷(非选择题,共90分)二、填空题(本大题共4小题,每小题4分,共16分) 13.设O 是ΔABC 所在平面外一点,且+=OA x OPBC 2,若P 、A 、B 、C 四点共面,则实数x 等于____.14.设抛物线x 2=-12y 的顶点为O ,焦点为F ,抛物线上的一点P 满足|PF |=6,则ΔOFP 的面积是____.15.如右图是用秦九韶算法求n 次多项式f (x )=a n x n+a n -1x n -1+…+a 1x +a 0(n ∈N )当x =x 0(x 0是任意实数)时的值f (x 0)的算法程序框图,则图中两个空白处理框中分别是v =____和i =____.16.如图,在ΔABC 中,∠ACB =90º,BC =1,AC =2,D 是斜边AB 上的一个动点,以CD 为棱把ΔABC 折成直二面角A -CD -B 后,线段AB 的最小值是____. 三、解答题(本大题共6小题,74分.解答应写出必要的文字说明、证明过程或演算步骤)17.(本小题满分12分)如图是一个空间几何体的三视图. (1)画出该几何体的直观图; (2)求该几何体的体积;(3)求该几何体的外接球的表面积.18.(本小题满分12分)已知F 1、F 2分别是椭圆12222=+by a x (a >b >0)的左、右焦点,其左准线与x 轴相交于点N ,且满足1212NF F F =,设M 为椭圆上的任一点. (1)求此椭圆的离心率;(2)若|21MF MF -|=2,求|21MF MF +|的取值范围.19.(本小题满分12分)(正视图)(侧视图))AC BDADB如图,在正三棱柱(侧棱垂直于底面,且底面是正三角形)ABC -A 1B 1C 1中,D 是AC 边的中点. (1)求证:AB 1∥平面DBC 1; (2)当CA 1⊥AB 1时, ①求证:CA 1⊥平面DBC 1; ②求二面角D -BC 1-C 的大小.20.(本小题满分12分)设不等式组⎩⎨⎧>->+00y x y x 所表示的平面区域为D ,已知区域D 内的动点P 到直线l 1:x +y =0和l 2:x -y =0的距离之积为1,记动点P 的轨迹为曲线E . (1)求曲线E 的方程;(2)经过点A (0,-1)的直线l 与曲线E 交于不同两点B 、C ,且2=,求直线l 的斜率.21.(本小题满分12分)如图,已知PD ⊥梯形ABCD 所在平面, AB ∥CD ,PD =DC =CB =1,PB =2,AB >PB . (1)求∠BCD 的大小;(2)若PC 与AD 成60º角,求AD 的长; (3)在(2)的条件下,求PC 与平面PAD 所成角的大小.C D ABC 1B 1A 1 PDC AB22.(本小题满分14分)已知过点A(-1,0)的直线l与抛物线C:y2=4x交于M、N两点,O为坐标原点.(1)求线段MN的垂直平分线在x轴上的截距的取值范围;(2)若ΔOMN的面积为635,求∠MON的大小;(3)设点B(1,-1),直线MB与抛物线C交于另一点P,问直线NP是否经过一定点?若存在,求出定点坐标;若不存在,请说明理由.成都七中2011-2012学年度下期入学考试题高二数学(理科答题卡)(命题人:邱旭审题人:李大松)二、填空题(本大题共4小题,每小题4分,共16分)13._____; 14._____; 15.v=_____,i=_____; 16._____.三、解答题(本大题共6小题,74分.解答应写出必要的文字说明、证明过程或演算步骤)17.(本小题满分12分)18.(本小题满分12分)19.(本小题满分12分)20.(本小题满分12分)21.(本小题满分12分)PDC ABC D AB C 1B 1A 122.(本小题满分14分)成都七中2011-2012学年度下期高二入学考试数学试题参 考 答 案 及 评 分 意 见(命题人:邱旭 审题人:李大松)一、选择题(本大题共12小题,每小题5分,共60分)二、填空题(本大题共4小题,每小题4分,共16分)13、文科:6，理科:1; 14、9; 15、文科:n ，理科:0,n ; 16、3. 三、解答题(本大题共6小题,74分.解答应写出必要的文字说明、证明过程或演算步骤)17、解：（1）图略 (4')（2）32. (8')（3）8π. (12') 18、解：（1）22. (4') （2）[2,22]. (12')19、解：（1）证明略(4') （2）①文科:2(8') ②45º. (12') 20.解：（1）文科: x 2-y 2=2. 理科: x 2-y 2=2(x >0). (4') （2）文科:±332. 理科: 332. (12') ABCD。
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31D
C B A
B
成都七中中美国际高中2012入学考试
模拟试卷（数学）
满分：100分 考试时间：60分钟
注意事项：
1．全卷分A 卷和B 卷，A 卷满分50分，B 卷满分50分。
2．考生在试卷相应位置作答，答在草稿纸上无效。
A 卷（共50分）
注意事项：
A 卷选择题均有四个选项，只有一项符合题目要求。
每小题选出答案后，填在相应空格处。
一、选择题。
（本大题共10个小题，每小题3分，共30分）
1．4的算术平方根是
A ．2±
B ．2-
C ．2
D ．
12
2．下列三条线段能组成三角形的是 A ．1，2，3 B ．2，2，4 C ．3，4，5
D ．3，4，8
3．如果单项式423a b x y --与313
a b
x y +是同类项，那么这两个单项式的积是 A ．64x y
B ．32x y -
C ．32
83
x y - D ．64x y -
4．由一些大小相同的小正方体组成的几何体的俯视图，如图所示，其中正方形中的数字表示该位置上的小正方体的个数，那么，这个几何体的左视图是
5．若点()P a b ，在第四象限，则点()4Q a b --，所在象限是 A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限
6．如图，梯形ABCD 的对角线AC 、BD 相交于O ，
G 是BD 的中点．若AD=3，BC=9，则GO ∶BG=
A ．1∶2
B ．1∶3
C ．2∶3
D ．11∶20 7． 已知圆锥的高是8cm ，母线长是10cm ，则该圆锥侧面展开图的圆心角为 A ．135︒ B ．150︒ C ．216︒ D ．260︒
8．关于x 的一元二次方程2
330kx x --=有实数根，则k 的取值范围是 A ．3
4k >-
B ．3
4k ≥-
且0k ≠ C ．3
4
k ≥-
D ．3
4
k >-且0k ≠
9．如图，在⊙O 的内接四边形ABCD 中，AB 是直径， ∠BCD=130°，过D 的切线PD 与直线AB 交于P 点，
则∠ADP 的度数为
小青
树
A．40°B．45°C．50°D．65°
2在同一平面直角坐标系内的图像可能是
A B C
二、填空题（本大题共5个小题，每小题4分，共20分）
11．一生物老师在显微镜下发现，某种植物的细胞直径约为0.000000195米，将该数据用科学记数法表示为米．
12．如图，把矩形ABCD沿EF对折后使两部分重合，若150
∠=°，则AEF
∠= ．
13．一天，小青在校园内发现：旁边一棵树在阳光下的影子和她本人的影子在同一直线上，树顶的影子和她头顶的影子恰好落在地面的同一点，同时还发现她站立于树影的中点，如图所示．如果小青的身高为1.7米，由此可推断出树高是米．
14．已知抛物线2
y x bx c
=++的顶点坐标为()
40
-，，则b c
+的值为．
15、如图（1），已知小正方形ABCD的面积为1，把它的各边延长一倍
得到新正方形
1
1
1
1
D
C
B
A；把正方形
1
1
1
1
D
C
B
A边长按原法延长一倍得到
正方形
2
2
2
2
D
C
B
A（如图2）；以此下去…，则正方形
4
4
4
4
D
C
B
A的面积为____ _____.
B卷（共50分）
一、填空题（每小题4分，共20分）
1．某市民政部门五一期间举行“即开式福利彩票”的销售活动，发行彩票10万张（每张彩票2元），在这些彩票中，设置如下奖项：
如果花2元钱购买1张彩票，那么所得奖金不少于
．．．50元的概率
是．
第2题
A
1
A
E D
C
B
F
（12题）
2．如图所示是重叠的两个全等的直角三角形．将其中一个直角三角形沿BC 方向平移得到DEF △．如果8cm AB =，4cm BE =，3cm DH =，则图中阴影部分的面积为 2cm ．
3．已知a 、b 、c 是△ABC 中A ∠、B ∠、C ∠的对边，若关于x 的方程()220b c x ax c b +-+-=有两个相等的实根，且sin cos cos sin B A B A ⋅=⋅，则
a b
c
+= ． 4．已知一列数1a ，2a ，…，n a （n 为正整数）满足11a =，122
n
n n a a a +=+，请通过计算推测出n a = ．（用含n 的代数式表示）
5
．如图，在平面直角坐标系中，直线y =
x 轴、y 轴分别相交
于点A 、B ，点P 从A 点出发，沿射线AO 方向以每秒1个单位
长度的速度在x 轴上运动．当点P 运动了t 秒（0t >）时，以P 点为圆心的圆与
直
线y x =
+D ，与x 轴从左至右依次相交于E 、F 两点，过
F
作
G 为顶点的三
FG ⊥DF 交y 轴于点G ，连结DG ．则当t = 时，以F 、O 、角形与△DFG 相似．
二、（共8分）
26．某市为了进一步改善居民的生活环境和城市面貌，决定增加公园A 和公园B 的绿化面积，要对两个公园各铺设一块新草坪．从园林管理处得知：公园A 新草坪的面积比公园B 新草坪的面积的2倍少2002m ；公园B 新草坪的面积比公园A 新草坪的面积的1
3
多4002m ．
（1）分别求出公园A 、B 需铺设新草坪的面积；
（2）已知甲、乙两地分别有同种草皮21600m 和21200m 出售，且售价一样．若园林管理处向甲、乙两地购买草皮，其路程和运费单价见下表：
（注：运费单价指将每平方米草皮运送1千米所需的人民币．） 请设计出总运费最省的草皮运送方案，并说明理由．
B
三、（共10分）
27．如图，AB 、AC 分别是⊙O 的直径和弦，点E 是劣弧 AC 上一点，弦EF ⊥AB 于D ，交AC 于点G ，过点C 作⊙O 的切线交FE 的延长线于点P ．
（1）求证：PC=PG ；
（2）点E 在劣弧 AC 的什么位置时，才能使2AE EG EF =⋅成立，为什么？
（3）在满足（2）的条件下，取DF 的中点M ，连接AM 并延长交⊙O 于点N ，连接BN ．
若3tan 24
P ∠=，20EG EF ⋅=，求图中阴影部分的面积．
四、（共12分）
28．已知直线24y x =+与x 轴和y 轴分别交于A 、C 两点，抛物线212
y x bx c =-++经过点A 、C ，点B 是抛物线与x 轴的另一个交点．
（1）求抛物线的解析式及点B 的坐标；
（2）设点P 是直线AC 上一点，且:1:3ABP BCP S S ∆∆=，求点P 的坐标；
（3）设点E 是直线．．BC ．．上一动点，过E 作y 轴的平行线与（1）中所求的抛物线交于点F ，则在y 轴上是否存在点M ，使得△MEF 是等腰直角三角形？若存在，求出所有符合条件的点M 的坐标；若不存在，请说明理由．。