2011中考模拟分类汇编50.新概念型问题
2011年中招模拟考试英语试卷
2011年九年级中招模拟试卷英语（一）注意事项：1．本试卷共10页，七个大题，满分120分，考试时间100分钟。
请用钢笔或圆珠笔直接答在试卷上。
2．答题前请将密封线内的项目填写清楚。
第一节听下面5段对话。
每段对话后有一个小题，从题中所给A、B、C三个选项中选出最佳答案，将其标号填入题前括号内。
每段对话读两遍。
( ) 1．What is the man’s favorite food?A．Vegetables. B．Fish. C．Rice．( ) 2．What color is the woman’s coat?A．Yellow. B．Blue. C．Black．( ) 3．When did they talk to each other?A．During the exam. B．Before the exam. C．After the exam．( ) 4．Where would Maria like to visit?A．Hawaii. B．A cool place. C．A warm place．( ) 5．How often does the No.9 bus come?A．10 minutes. B．20 minutes. C．30 minutes．第二节听下面几段对话或独自。
每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳答案，将其标号填入题前括号内。
每段对话或独白读两遍。
听下面一段对话，回答第6至第7两个小题。
( ) 6．What happens in John’s hometown?A．There are a lot of trees on the hills．B．There aren’t many trees on the hills．C．There are no trees on the hills．( ) 7．How is the environment?A．Not bad．B．Worse and worse．C．Better and better．听下面一段独白，回答第8至第10三个小题。
2011年英语中考模拟题及答案
2011年英语中考模拟题及答案2011中考模拟试题一．选择填空（本题15分，每小题1分） 1. Mike is from America. He ________ English. A. spoke B. will speak C. speaks D. had spoken 2. -Where are you going for your holiday? --Well, we _______ yet. A. haven't decided B. hadn't decided C. don't decide D. didn't decide 3 -It's dangerous to swim here. Look at the sign. -Oh, I _______ notice it. Thanks for telling me. A. haven't B. won't C. don't D. didn't 4. ---Could I speak to Li Ping, please? ----________ A. That’s very kind of you B. Yes, I am Li Ping. C. H old on for a moment, please. D. That’s all right. 5.―Do you mind if I smoke here? --___. No smoking here. A. Oh, no please B. Yes, please C. I’m sorry D. It doesn’t matter 6---I’m sorry I’m late for the party. ---______ A. No, you aren’t B. Yes, you are C. That’s all right D. Don’t be sorry. 7. ---How do you like the songs sung by Liu Huan? ---They were wonderful, _____ I couldn’t hear his words clearly sometimes. A. because B. so C. but D. if 8----Who’s that woman with Ann? ---I’m not sure. It _____be her mother.. A. may B can C. will D. must 9. ---I haven’t got a digital camera. ---I think you should buy ___.A. oneB. thisC. thatD. it 10. - What are you going to do? - I’m going to ____ my cupboard. I never use the things in it anymore. A. find out B. clean out C. keep out D. look out 11. �CJenny, can you tell me _______? -Sorry, I’ve no idea. A. how many people have been there B. when is the meeting C. why did they decide to do it D. where will it start 12----Jim, I heard that you moved to a new place. ----Right, I now live next to a supermarket. It’s very _______. A. safe B. lonely C. convenient D. helpless 13. �CYour school isn’t far from your house, is it? -No, it’s not far, just a ____from my house. It takes me only 3 minutes to walk there. A. step B. road C. wayD. ride 14. ----Tom, your homework? ----Sorry, I was in a hurry and_____ it home. A. missed :B. forgot C. left D. lost 15. ----What will the weather be like today? ----The radio says that it will _____ hot for a few days. A. stay B. look C. turn D. change二．完型填空（本题共15分，每小题1分） Andy was still traveling in Spain when he realized he had to confirm(确认) his flight home with the airline company. He was visiting Spain in order to __16 __ his Spanish. When he was speaking to people __17__ , he had no __18 _ understanding what they said. __19__, when he was speaking on the phone, he __20 __ had a problem. Andy __21__ the airline. And the clerk confirmed that his plane was leaving at nine o'clock three days from that day. She __22 _ told Andy to be at the airport two hours __23__ in order to check in his luggage and get a seat. Since he was __24__ in three days, Andy didn't __25__ any time. He visited as many places as he could. He thought that it would probably be a while before he had enough money again. He wished he could __26__ and spend a year in Spain. Too __27__, the final day arrived. Andy left early for the airport to arrive two hours before take-off. He hated to __28__. He went to the clerk to __29__ his ticket. The clerk looked at the ticket with astonishment. "Why, sir, but your flight was at nine o'clock in the morning, and __30__ it is eight in the evening." "But I confirmed my flight," insisted Andy. "Will I have to pay for another ticket?" 新课标第一网 "No, sir. However, the next flight out will be three days from now." 16.A. prepareB. improveC. enjoyD. learn 第一学习网 17. A. slowly B. in public C. in person D. carefully 18. A. difficultyB. ideaC. mistakeD. interest 19. A. Instead B. ThereforeC. MeanwhileD. However 20. A. even B. just C. still D. seldom 21. A. called B. liked C. trusted D. asked 第一学习网22. A. again B. also C. only D. once 第一学习网 23. A. beforeB. earlierC. laterD. after 24. A. moving B. returning C. staying D. leaving 本25. A. take B. have C. lose D. find 26.A. waitB. go homeC. stopD. come back 27. A. shortly B. quickly C. badly D. early 本文来自第一 28. A. speak B. go C. rush D. delay 本文 29. A. buy B. show C. order D. provide 30. A. maybe B. so C. here D. now三．阅读理解（本题共30分，每小题2分） A I was telling my boy Sonny the story of the hare (兔子) and the tortoise (乌龟). At the end I said. “Son, remember: Slow and steady (稳固的) wins the race. Don’t you think there’s something to learn from the tortoise?” Sonny opened his eyes wide, “Do you mean next time when I’m participating in the 60-metre race I should wish that Billy and Tony and Sandy would all fall asleep halfway?” I was shocked, “But the tortoise didn’t wish that the hare would fall asleep on the way!” “He must have wished that,” Sonny said. “Otherwise how could he be so stupid as to race with the hare? He knew very well the hare ran a hundred times faster than he himself did.” “He didn’t have such a wish,” I insisted, “He won the race by perseverance（坚持）, by pushing on steadily.” Sonny thought a while. “That’s a lie,” he said. “He won it because he was lucky. If the hare hadn’t happened to fall asleep, the tortoise would never have won the race. He could be as steady as you like, or a hundred times steadier, but he’d never have won the race. That’s for sure.” I gave up. Today’s children are not like what we used to be. They’re just hopeless.31. The writer disagreed with his son because ________. A. They disagreed about whether the tortoise was stupid B. He liked tortoises while his son liked hares C. He liked the story of the hare and the tortoise while his son didn’t D. He tried toteach his son the moral(道德的) lesson of the story but the son rejected it 32. Sonny believed that the tortoise ________. A. was not given a fair chance in the race B. in fact can’t win the race C. took a risk by agreeing to race D. won the race by his own effort 33.The writer thinks that his generation (代) ________. A. had different ideas about life from Sonny’s generation B. were more clever than Sonny’s generation C. had the same ideas about life as Sonny’s generation D. were more hopeful than Sonny’s generation 34. When the writer says” I gave up” at the end, he means________. A. he gave up Sonny as a hopeless child B. he gave up arguing with Sonny C. he gave up trying to keep up with the new generation D. he gave up his belief in the moral ideal of the hare and tortoise story 35. According to the passage, who do you think learnt a lesson? A. Sonny B. The tortoise C. The hare D. Sonny’s fatherB The Guinness(吉尼斯) World Records Museum address:329 Alamo Plaza, San Antonio, TX 78205 Open Hours: From September to May 10 am to 7 pm Sunday through Thursday 10 am to 10 pm Friday and Saturday From June to August 10 am to 10 pm Sunday through Thursday 10 am to Midnight Friday and Saturday Adult single: ＄ 14.95 for 2 attractions, ＄18.95 for any 4 attractions, ＄22.95 for all attractions Child(4～12)Single: ＄8.95 for 2 attractions , ＄11.95 for any 4 attractions, ＄11.95 for any 4 attraction, ＄14.95 for all attractions In the museum you can enter the different exhibition halls you see below. In each of these halls you can see the world records of different kinds . Sometimes you may get a chance to do something so that you can know better how a record was set 36. On a Sunday in October, you may stay in the museum until _____. A. 7:00 pm B. 8:00 pm C. 9:00 pm D. 10:00 pm 37. From the advertisement we can learn that there are _______ visitors to the museum onFridays and Saturdays in summer. A. no B. some C. fewer D. more 38. A 10 －year－old girl and her mother will visit two attractions. How much will they pay ? A. $14.95. B. $17.90. C. $23.90. D. $29.90. 39. If you want to see the smallest picture in the world, which exhibition hall will you visit ? A. Society & Money. B. Arts & Entertainment. C. World Matters. D. Material World. 40. According to (根据) the advertisement, sometimes visitors to the museum _______.A. will surely meet one who set a recordB. may set a world record of their ownC. can experience how a record was set C It was just three degrees ab ove zero. “That’s cold,” thought Jane as she got ready to deliver(送) her morning papers. Jane has 50 customers, and on cold mornings when she couldn’t ride her bike, it took her more than an hour to make her rounds. As she collected her papers and put them into a big canvas bag, Jane regretted that she hadn’t finished her math homework the night before. There was still time. She’d hurry with the papers and finish the math before breakfast. Less than an hour later, Jane was nearly finished. She had only five customers to go. She could then head for home to complete her math while her mom fixed breakfast. As she rounded the corner, she saw a car in the middle of the street. It was Mr. Zimmerman, the elderly man who walked with a walking stick. His car was out of gas(汽油). “I’d like to help Mr. Zimmerman,” thought Jane. “but if I do, I won’t have time to do my homework.” She hated to think what Mr. Roberts would say if she hadn’t completed her papers. “It’s his own fault for running out of gas,” Jane talked to he rself, “the station is only a half mile down the street. Surely Mr. Zimmerman can walk that far, even on a cold morning like this… can’t he?” As she walked down the street, Jane wondered what to do. 41. Jane delivers her papers _____. A.before she goes to school B. on cold mornings C. with the help of Mr. Zimmerman’s car D. on the way to school 42. Mr. Zimmerman was old and ______ A. couldn’t drive well B. would have nobody to help him C. was not rich enough to buy gas D. was not able to walk a long way 43. We know from the reading that_______ A. Jane couldn’t find any time to finish her homework B. it took about an hour for Jane to send the papers C. Jane would have her breakfast in the school D. Jane likes to deliver papers on cold mornings 44. T he reading doesn’t say but we can infer that_____ A. Jane bought the gas for Mr. Zimmerman B. usually Jane delivers papers by bike C. Mr. Robert doesn’t like Jane at school D. Mr. Zimmerman had to leave the car for Jane 45. The best title for this reading should be ______ A. Fifth Customers B. There’s no Easy Answer C. No Time to Finish Homework D. A Cold Morning for Jane四．填词（本题10分，每小题1分） When I was a little girl，I was always the quiet one. I was picked on(作弄) all the time b__46____ I had never protected myself. I paid attention to school work and I dreamed I would one day be more s___47___ than my classmates. I remember sitting in class, working hard on my h___48__, while the other kids at my table laughed at me. Then if I ever did talk, they would say, “She speaks!” as if I w__49__ some kind of aliens. As I grew older my shyness problem w_50___ on, but at least students became less cruel(冷酷). In middle school, I didn’t have to deal with taunts(嘲弄) from my classmates, i___51___ it was as if I didn’t exist(存在). But I also wanted to have the happy school e___52____ such as going to dance, just like outgoing girls. I pretended I wasn’t interested in all because I really wanted to work hard to get into a good college, but the t__53___ is that I wanted to be popu lar. I was so shy that I couldn’t even make friends withthe other band members. When went to football games, I would sit in the groups with my flute(长笛), c____54__ the minutes until I could go home, which is the only place where I could truly be m__55___.五．书面表达（本题共15分）假如你是班长李华。
2011年中考英语模拟试题及答案
2011年中考英语模拟试题及答案新世纪教育网精选资料版权全部@新世纪教育网2011 浙江海宁长安片7 校九年级英语学业考第二次模拟考试一试卷英语答题卷第一部分听力部分一、听力（此题有 15 小题，第一节每题 1 分，第二、第三节每题 2 分，计 25 分）1____2____3____4____5____6____7____8___9____10____11____12____13____14____15____第二部分笔试部分二、单项填空（此题有 10 小题，每题 1 分，共 10分）16____17____18____19____20____21____22____23____24____25____三、完形填空（此题有15 小题，每题 1 分，共 15 分）26____27____28____29____30____31____32____33____34____35____36____37____38____39____40____四、阅读理解（此题有15 小题，每题 2 分，共 30 分）41____42____43____44____45____46____47____48____49____50____51____52____53____54____55____五、词汇运用（此题有15 小题，每题 1 分，共 15 分）56__________ 57 __________58 __________ 59 __________ 60 __________61__________ 62 __________ 63 __________ 64 __________ 65 __________66__________ 67 __________ 68 __________ 69 __________ 70 __________六、任务型阅读（此题有 5 小题，每题 1 分，共 5分）71____72____73____74____75____七、书面表达（此题共20 分）76.Dear students,In some parts of our country, there are many children out ofschool._______________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _________________________________________________Thanks for your joining!Students’Union（学生会）新世纪教育网-- 中国最大型、最专业的中小学教育资源门户网站-----版权全部@新世纪教育网。
2011中考英语模拟试题及答案
2011中考英语模拟试题一单项选择（20分）1、D ---What’s on the desk? ---There are some ______ and _____.A. tomatos, photosB. tomatoes, photoesC. tomato, photosD. tomatoes. photos2、D ---What do you think of your brother . ----He is _____ honest and ____ useful man..A .a. an B. an .an C. a , a D. an ,a3、C ---Let’s play ______football instead of play ____ piano. –Good idea.A. the ,theB. a, /C. /, theD. a ,/4、D ---Jack, do you know _____ girl in ____red ?---No. I’m new here.A. a ,theB. /, aC. the , theD. the ,/5、B ---Do you know whose car it is?---It belongs to ______ .It isn’t ______.A. me, herB. her, mineC. yours , myD. us, them6、C The weather in Chongqing is hotter than ______ in Beijing.A. weatherB. itC. thatD. /7、B September is ______ month .A. the ninethB. the ninthC. nineD. ninth8、A He wants to buy the car ______ it’s a little expensive.A. thoughB. butC. becauseD. so9、A --Did Jim come to school yesterday? --Yes，______ he felt a little sick.A. thoughB. butC. becauseD. so10、C I will not go out if it ______ tomorrow.A. won’t rainB. isn’t rainC. doesn’t rainD. doesn’t rainy11.D ---When did you ______ Chongqing ?---At about 9 pm.___ a cool moring.A. get ,inB. reach ,inC. arrive at ,atD. reach, on12、D Chongqing is so beautiful that _______ people come to visit every year.A. thousandB. thousandsC. thousand ofD. thousands of13、A Tom ______ the computer and checked his e-mails.A. turned onB. turned offC. turned upD. turned down.14、B ---How far is it from our home to the farm?---. It’s quite far. About 3 three ______ walk.A. hour’sB. hours’C. hoursD. hour15、B ----_______did the school sports meeting last ? --- 40 minutes.A. How soonB. How longC. How manyD. How often16、C ----Mum, must I do my homework at once ?---No, you ______. You may do it tomorrow.A. mustn’tB. mustC. needn’tD. need17、C ---Would you like some water or milk? ---____. I don’t mind..A. bothB. neitherC. eitherD. all18、D ---Would you mind opening the window ? It’s very hot. ----____ .A. No, please don’tB. Yes, please .C. Sorry .I won’tD. Certainly not19、D ----Where’s Lily? ----She ________ Chengdu .She _______ there for two days.A. has been to ,has beenB. has gone to, has goneC. has been to ,has goneD. has gone to ,has been20、C ---Your toy is very beautiful .Could you tell me _________?---In Yonghui Supermarkret near our home.A. where did you buy itB. you bought it whereC. where you bought itD. how much did you buy it二、完型填空（20分）An old man lived in a nice house with a large garden. He took care of his 21 all the time, watering and fertilizing them.One day a young man went by the 22 . He looked at the beautiful flowers, imagining how happy he could be 23 he lived in such a beautiful place. Then, suddenly he found the old gardener was 24 . He was very surprised about this and asked, “You can’t see these flowers.25 are you busy taking care of them every day?”The old man smiled and said, “I can tell you four26 . First, I was a gardener when I was young, and I really like this job. Second, 27 I can’t see these flowers, I can touch them.28 , I can smell the sweetness of them. As to the last one, that’s29 .”“Me? But you don’t know me,” said the young man.“Yeah, it’s30 that I don’t know you. But I know that flowers are angels that everybody likes. We enjoy the happiness these flowers have brought us.”T he blind man’s work opened our eyes and pleased our hearts, which also made his life happier.( A )21. A. flowers B. trees C. vegetables D. grass( C )22. A. balcony B. kitchen C. garden D. study( D )23. A. after B. as C. before D. if( A )24. A. blind B. famous C. smart D. friendly( C )25. A. What B. Who C. Why D. Which( B )26. A. stories B. reasons C. excuses D. conclusions ( A )27. A. although B. since C. because D. unless( C )28. A. First B. Second C. Third D. Fourth(B )29. A. me B. you C. my mother D. my son( A )30. A. true B. hard C. cool D. fair三、阅读理解（30分）A◆Name: NyQuil◆Use it when you have a headache, sore throat, fever, or cough◆How much to use:Adults(成年人)and children over 12: 2 tablespoons(汤匙Children aged 6 to 12: 1 tablespoons every 6 hoursChildren under 6 and old people: Ask a doctor◆Warning: stop using and ask a doctor if your illness gets worse or you don’t get better in 7days.◆If you have any questions, call 1-800-362-1683.◆ Till December 16th, 2012B 31. Peter is a 7-year-old boy and has a fever. How many times a day should he take NyQuil?A. 2B. 4C. 6D. 8C 32. If you buy a bottle of NyQuil on October 16th, 2009, you can keep it for__.A. 2 years and 3 monthsB. 3 years and 3 monthsC. 3 years and 2 monthsD. 2 years and 2 monthsC 33. Which of the following is TRUE?A. After taking NyQuil, Tim coughs for ten days. He should use more of the medicine.B. Old people should take 6 tablespoons of the medicine every day.C. If you have a question about NyQuil, you can call 1-800-362-1683D. Children under 6 should take more of the medicine if they have a fever.BA young man once went into a town and bought himself a pair of trousers. When he got home, he went upstairs to his bedroom and put them on. He found that they were about two inches too long.He came downstairs, where his mother and his two sisters were washing up tea things in the kitchen. “These new trousers are too long.” He said. “ They need shortening (缩短)by about two inches. Would one of you mind doing this for me, please? ” His mother and sisters were busy and none of them said anything.But as soon as his mother had finished washing up, she went quietly upstairs to her son’s bedroom and shortened the trousers by two inches. She came downstairs without saying anything to her daughters.Later on, after supper, the elder sister remembered her brother’s trousers. She was a kind-hearted girl, so she went quietly upstairs without saying anything to anyone, and shortened the trousers by two inches.The younger sister went to the cinema, but when she came back, she, too, remembered what her brother had said. So she ran upstairs and took two inches off the legs of the new trousers.B 34. The young man bought the new trousers _______ his size.A. as long asB. two inches longer thanC. as big asD. two inches shorter thanA 35. He asked _______ to shorten his new trousers.A. his mother and sistersB. his two sistersC. his elder sisterD. his mother and one of his sistersC 36. His mother and sisters ________.A. agreed to do thatB. didn’t want to do thatC. said nothing to himD. said something to himD 37 His elder sister shortened the trousers ________.A. after finished washingB. before she went to bedC. when she came back from the cinemaD. after having supperCIt was the end-of-year party. I had asked my mother to make us cookies. Mom’s chocolate chips were the best.But two o’clock passed, and there was no sign of her. Most of the other mothers had come and gone, dropping off their cakes and chips. The party went on, but I wouldn’t leave the window. The three o’clock bell soon took me away from my thoughts. I took my bag and walked out for home.The house was empty when I arrived. My heart was filled with anger(气愤). For the first time in my life, my mother had let me down. I was lying on my bed when I heard her coming. “Robbie,” she called out. “Where are you?” She was looking for me from room to room, but I kept silent.When she entered my room, I didn’t move, “I’m so sorry,” she said. “I got busy and forgot.” She began to laugh. I couldn’t believe it. I turned over and found that she wasn’t laughing but crying. “I’m so sorry. I let my boy down.” she cried like a little girl. I had never seen my mother cry.“It’s OK, Mom,” I said, “We didn’t need those cookies. There was plenty of food to eat. Don’t cry. It’s all right.” We held each other in a long hug(拥抱).D 38. The story happened .A. on my birthdayB. during ChristmasC. before ChristmasD. before the New Year’s DayA 39. I didn’t leave the window because I want .A. to see my mother comingB. to enjoy the partyC. to get some cookiesD. to go to the partyB 40. I lay down on my bed and kept silent because I was .A. tiredB. angryC. hungryD. excitedA 41. Why did my mother cry and say that she was sorry?A. Because she was too busy.B. Because she couldn’t find me.C. Because she didn’t support me.D. Because she needed those cookies.ＤEverybody can suffer from stress. No matter what your age is, you can feel stressed out by things that are happening in your life. Teenagers, however, have many more opportunities to get stressed than people in any other age group. Being a teenager is hard. You are not a child any more, but you are not an adult, even though you have to deal with some very grown-up problems and decisions. Families can be one of the biggest causes of stress, such as problems with parents arguing at home. or problems with brothers and sisters. Teenagers also have a lot of stress from school, either from their teachers or from their friends. Some teenagers also feel stressed about choosing their education after high school. Getting a place at university can be very difficult and some cannot afford to go to university. The stress about getting a job when finishing school is hard for some teenagers. There are so many young people finishing school and not enough jobs for them. Sadly, there is nothing we can do to remove these causes of stress from the 1ives of teenagers, but you can learn the best way to deal with it. Talking to people is one of the best ways to deal with stress. It may sound simple, but it is true. A problem shared is a problem halved.A 42. Why is being a teenager often difficult?A. Because even though you are not an adult, you must deal with adult problems.B. Because even though you are an adult, you must deal with children’s problems.C. Because even though you are a teenager, you must do a lot of homework.D. Because adults often make them feel stressed.C 43. Why can leaving school be a stressful time for teenagers?A. Because they will be leaving their favourite teachers.B. Because many people’s favourite memories are at scho ol.C. Because they may worry about getting a place at university.D. Because they may worry about becoming an adult.A 44. We can deal with the stress in our life ______.A. by not trying to find a jobB. by forgetting about our problemsC. by getting a place at universityD. by sharing our problems with our friendsD 45.Why can finding a job after finishing school be difficult?A. Because there is a lot of competition for jobs.B. Because there are no jobs.C. Because a job is more difficult than school work.D. Because there is a lot of competition for places at university.四、句型转换（10分）46. Class begins at eight in the morning. (改成一般疑问句)Does class begin at eight in the morning?47. Alice likes to go to the park at 6 pm (对划线部分提问).When does Alice like to go to the park?48. More and more people speak English all over the world.(改为被动语态)English are spoken by more and more people all over the world.49. The watch cost Jimmy 3000 yuan on.(改为同义句)Jimmy pay 3000 yuan for the watch.50. 他妹妹直到13岁才会说英语。
2010年中考试题最新分类汇总-50.新概念型问题2
一、选择题1．2．3．4．5．6．7．8．9．10．11．12．13．14．15．16．17．18．19．20．二、填空题1．2．3．4．5．6．7．8．9．10．11．12．13．14．15．16．17．18．19．20．三、解答题1．（2010天水）(8分)我们把一个半圆与抛物线的一部分合成的封闭图形称为“蛋圆”,如果一条直线与“蛋圆”只有一个交点,那么条直线叫做“蛋圆”的切线,如图所示,点A、B、C、D分别是“蛋圆”与坐标轴的交点,已知点D坐标为(0,-3),AB是半圆的直径,半圆的圆心M的坐标为(1,0),半圆半径为2.(1)请你求出“蛋圆”的抛物线的解析式,并写出自变量的取值范围;(2)你能求出经过点C的“蛋圆”的切线的解析式吗?试试看.【答案】解：(1) ∵⊙M的半径为2,圆心M(1,0)∴A(-1,0) ,B(3,0)不妨设“蛋圆”的抛物线的解析式为y=a(x+1) (x-3)∵“蛋圆”的抛物线过D(0,-3) ∴-3a=-3 ∴a=1∴y=a(x+1) (x-3)即y=x2-2x-3自变量取值范围-1≤x≤3(2)设过点C的“蛋圆”的切线为CE,其解析式为y=kx+b,连结CM,则CE是半圆的切线∴CM⊥CE ∴线段∵CO2=|OM|·|OE| ∴OE=3 ∴E (-3,0)∵直线y=kx+b过∴30bk b⎧=⎪⎨-+=⎪⎩∴bk⎧=⎪⎨=⎪⎩∴过C 的“蛋圆”的解析式为y=32．（2010广西北海）规定：2!=2×1,3!=3×2×1,4!=4×3×2×1,……，n!=n×(n-1) ×(n-2) ×……×2×1，即n!称为n 有阶乘.(1)计算 100!98!= . (2)若x=7是一元二次方程28!06!x kx +-=的一个根，求k 的值。
【答案】(1)9900;(2)把7=x 代入28!06!x kx +-= 得056772=-+k 77=k解得1=k .3．4．5．6．7．8．9．10．11．12．13．14．15．16．17．18．19．20．。
2011年中考英语仿真模拟试题及答案(附听力材料)
2011年初中毕业生学业考试模拟卷英语试卷一、听力部分（计20分）I．听小对话，选择图片（共5小题；每小题1分，满分5分）1． What time is it now?2． What animal does the boy want to keep?A. B. C.3． What will the weather be like tomorrow?A. B. C.4．What sport does the man probably like better?A. B. C.5．How does the man go to work ?II．听小对话，回答问题（共5小题；每小题1分，满分5分）6． What does the man mean ?A. They won’t have any more cups . B . He doesn’t know why pe ople liketea.C. They will get some more tea .7． When is the man going to decorate the room ?A. WednesdayB. SaturdayC. Tuesday8． What are they talking about ?A. NewspaperB. Their feelingsC. TV programs9．What is Roy doing ?A. He is calling Emma .B. He is talking to Emma face to face .C. He is answering Emma’s telephone .10．What does the man want to do?A. To change his walkman .B. To buy a new walkman .C. To borrowa walkman .III．听长对话，回答问题（共5小题；每小题1分，满分5分）听下面一段较长的对话，回答第11至第12两小题。
XXXX中考数学复习：新概念型问题(含答案)
XXXX中考数学复习：新概念型问题(含答案)专题讲座二:新概念问题参考答案的相应培训3。
解决方案:(1)如图所示；根据抛物线的对称性，抛物线的顶点a必须在o和b的垂直平分线上，所以OA=AB，即“抛物线三角形”必须是等腰三角形。
所以填写:等腰。
(2)∫抛物线y =-x+bx (b > 0)“抛物线三角形”是等腰直角三角形，2bb2∴抛物线的顶点(，24 ∴b = 2.bb2)满足吗？(b > 0)。
24 (3)存在。
如图所示，如果△OCD和△OAB关于原点o的中心对称，那么四边形ABCD就是一个平行四边形。
当OA=OB时，平行四边形ABCD是一个矩形，而ao = ab，∴△OAB是一个等边三角形。
和AE ⊥OB一样，垂直的脚是e，∴= 3e。
= B2 ∴43？b？(0)。
2 ∴b’ = 2 ∴a (∴c (-3.3，3)，b (23，0.3，-3)，d (-23，0)。
2如果点o，c，d的抛物线是y=mx+nx，那么-1-？？12米？23n？0，？？？3m？3n？？3？？m？成功了吗？。
？？n？因此，抛物线的表达式是y = x+223 x . 8 .(1)1；(2)12或3 4或34解决方案:(1)还有另一条类似的线。
如图1所示，如果交叉点p是L3∑BC交流与q交流，则△apq∑ABC；所以答案是:1。
(2)将P(lx)切割的三角形面积设为S，S=如图2所示，有4条相似线:14S△ABC，则相似率为1: 2。
bp1 = ba2bp1 ②文章2l，其中p是斜边AB的中点，l∑AC，8756；= ba2①文章1l1，其中p是斜边AB的中点，L1∑AC，8756；22；；(3)第3条l3，其中BP和BC为对应侧，BP1=BC2AP1=AC2，bpb3cos30？= = BABC4(4)第4条l4，其中AP和AC是相应的一方，以及∴APAP1的∴？sin30？？ABAC4BP3=BA4..因此，答案是:12或34或3.410。
2011年中考英语模拟试题以及参考答案
2011年中考英语模拟试题班级姓名听力理解一、听对话，选择与对话内容相符的图片。
每段对话读两遍。
（共4分，每小题1分）二、听对话或独白，根据对话或独白的内容，选择正确答案。
每段对话或独白读两遍。
（共12分，每小题1分）请听一段对话，完成5—6小题5. What is the man going to do this weekend?A. Read at home.B. Go skating.C. Play computer games.6. How long has the man being skating?A. More than ten years.B. More than ten weeks.C. More than ten days.请听一段对话，完成7—8小题7.Which country are they talking about?A. England.B. America.C. New Zealand.8. What is the most popular sport in winter there?A. Skiing.B. Surfing.C. Boating.请听一段对话，完成9—10小题9. Why did Martin use Jane's phone?A. He left it at home.B. He lost it.C. He lent it to others.10. Which button(按键) should Martin press to send the message?A. Blue.B. Red.C. Black.请听一段对话，完成11—13小题11. Who is the doctor speaking to?A. Peter.B.Robert.C. Mike. 12. How often does the boy do exercise?A.Every day.B. Once a week.C. Once a month.13. How many suggestions does the doctor give?A. 1.B. 2.C. 3.请听一段独白，完成14—16小题14. Where can you probably hear the passage?A. On a tour bus.B. On a shopping bus.C. On business bus.15. Which country are they in?A. England.B. France.C. Japan.16. How long will be the trip?A. An hour and a half.B. An hour.C. Half an hour.三、听对话或独白，记录关键信息（共8分，每小题2分）语言知识运用四、选择填空（共15分，每小题1分）从下列各题所给的A、B、C、D四个选项中，选择可以填入空白处的最佳选项。
中考数学中“新定义”型的问题教学策略探究7页word文档
中考数学中“新定义”型的问题教学策略探究数学课程标准（2011年版）指出：数学是人类文化的重要组成部分，数学素养是现代社会每一个公民应该具备的基本素养。
作为促进学生全面发展教育的重要组成部分，数学教育既要使学生掌握现代生活和学习中所需要的数学知识与技能，更要发挥数学在培养人的思维能力和创新能力方面的不可替代的作用。
近几年各省、市数学中考题中不断出现“新定义”型问题，主要在考查学生对新概念（公式）特性的理解和认识，以及知识的综合运用能力、知识迁移能力，对培养学生的思维能力和创新能力就有很好的促进作用。
综观“新定义”问题的解答，发现学生作答效果并不是很理想，普遍出现“题没看清、没看懂”、“理解错了”等状况，究其原因是学生阅读理解能力太弱。
这就要求我们在平时教学中关注学生读理解能力的培养，使学生具备客观、全面的分析解决问题的能力，从而使学生综合分析解决问题的能力得到提升。
1. “新定义”问题的概念及特征“新定义”问题其主要特征是以初中生已学过的知识为出发点，通过类比、引申、拓展给出新的数学概念（数学公式）；或将一些能与初中知识相衔接的高中“新知识”，通过阅读材料呈现给初中学生，让他们将这些“新知识”与已学知识联系起来，正确理解其内容、思想和方法，把握其本质，通过类比、猜想、迁移来运用新知识解决实际问题，通过分析近年来中考试卷中出现的这类“新定义”型试题大致分为三种类型：（1）定义“新规则，新运算”型；（2）定义数学新概念型；（3）定义新函数、新知识型。
“新定义”题型特点突出、取材广泛，材料源于课本又有创新，不仅可以考查学生的阅读理解能力、分析综合能力、辨别判断能力以及生活经验是否丰富等，而且可以综合考查学生的数学思维能力和创新意识，此类问题能够帮助学生实现从模仿到创造的思维过程，达到从预设到生成的跨越，符合学生的认知规律，既实现了对学生知识与能力考查的结合，又体现了素质教育的本质，还为学生进入高一级学校的学习做了良好的铺垫。
2011年中考模拟卷英语试题卷50
2011年中考模拟试卷英语卷考生须知：1、本试卷分试题卷和答题卷两部分，满分120分，考试时间100分钟。
2、答题前，必须在答题卡和答题卷的密封区内涂、填写校名、姓名和准考证号。
3、必须在答题卷的对应答题位置答题，写在其它地方无效。
1至60小题在答题卡上涂黑作答.其它所有答案都必须做在答题卷标定的位置上，务必注意试题序号和答题序号相对应4.做听力时，先将答案划在试卷上。
录音内容结束后，你将由一分钟的时间将试卷上的答案转涂到答题卡上5、考试结束后，试卷、答题卡和答题卷一并上交.听力部分（25分）一、听对话回答问题（共5小题，共5分）1．What’s the date today? （原创）A. June 13thB. July 30thC. July 13th能力目标：学生区分13和30的发音能力预估难度：A2．The man is a __________in the city. （原创）A. policemanB. visitorC. cleaner能力目标：考查学生听对话分析内容的能力预估难度：B3．The young man is _____________.（根据英语画刊改编）A. a doctorB. painfulC. sick能力目标：考查学生收集信息的能力预估难度：A4．How did Jim come to work this morning? （原创）A. On footB. By carC. By bike能力目标：考查学生理解内容的能力预估难度：B5．How much is the woman going to pay? （原创）A. three yuanB. five yuanC. six yuan能力目标：考查学生能否收集到所需信息的能力预估难度：A二．听长对话回答问题（共5个小题，计 10分）听下面两段对话，选择正确的答案, 每段对话读两遍。
A)听第一段对话，回答6－7小题，现在你有10秒钟的时间阅读这两题。
2011年中考英语模拟题1及答案
2011年中考英语模拟题 1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。
1. We can see _____ full moon on the evening of August ____ 15th every year.A. the；aB. a；aC. a；theD. the；the2. Elephants, pandas and ________are animals.A. chicksB. ducksC. penguinsD. dolphins3. After the rebuilding our school is becoming_______________.A. more and more beautifulB. more beautiful and beautifulC. beautiful and beautifulD. the more beautiful4. The school days are busy enough, yet the Taylors try hard to fit as much as possible _____ their ki ds’ lives.A. inB. intoC. onD. at5. She can speak little English _______she dare to talk with foreigners.A. soB. orC. asD. but6. -----Do you usually go to work early every day?---- Yes, the bus usually ___________me to work.A.takesB. fetchesC. catchesD. gets7. —Can you catch what the teacher said in the English class?—Sorry, I can ____ understand it.A. hardlyB. almostC. nearlyD. never8. ---- I’m sorry I can’t help you-----___________.A. Not at all.B. It doesn’t matterC. Thank you all the sameD. I’m sorry to hear that9. All the students in Class 5 will climb the mountain if it _______ rain tomorrow.A. won’ｔB. don’ｔC. didn’ｔD. doesn’ｔ10. ----Let’s go to the West Hill Park by taxi.---- Oh, it is not far away from here. We _______take a taxi.A. couldn’ｔB. mustn’ｔC. needn’ｔD. can’ｔ11. It is reported that more new teaching buildings ___ in our school in the next term.A. will be builtB. was builtC. has builtD. will build12. Please don’t forget ________ the room while I am away in Beijing.A. cleanB. to cleanC. cleanedD. cleaning13. -----________do you make a banana milk shake?----- Peel the banana first and blend it with milk.A.WhatB. WhenC. HowD. Where14.--- The shoes don’t fit me. Would you please show me _________?---- Sure. Here you are.A. the other oneB. the othersC. another pairD. another one15. Some rules are almost the same _______in the world, but rules of etiquette can be different from pl ace to place.A. somewhereB. anywhereC. nowhereD. everywhere16. ---- Excuse me. Could you tell me ___________?---- Yes, There is a video shop next to the tall building.A. where can I buy some CDsB. where I can buy some CDsC. when can I buy some CDsD. when I can buy some CDs17. My uncle has been taught in this school _______ he was twenty years old.A. sinceB. forC. untilD. after18The small child was not old enough to _______ himself.A. haveB. wearC. dressD. put19. Disney is an amusement park _____you can find all the normal attractions and Disney movies and characters.A. whichB. whereC. thatD. when20. ---- _______ Mr. Wang. Can you pass the dictionary to me, please?----- Certainly.A. I’m sorry.B. Pardon.C. Thank you.D. Excuse me,第二节：完形填空（共15小题，每小题2分，满分30分）(A、B、C、D)四个选项中选出能填入相应空白处的最佳选项。
中考数学新概念型问题
新概念型问题
考点二：运算题型中的新概念
2．（2012•株洲）若（x1，y1）•（x2，y2）=x1x2+y1y2，则（4，5）•（6，8）=．
考点三：探索题型中的新概念
例3 （2012•南京）如图，A、B是⊙O上的两个定点，P是⊙O上的动点（P不与A、B 重合）、我们称∠APB是⊙O上关于点A、B的滑动角．
（1）已知∠APB是⊙O上关于点A、B的滑动角，
①若AB是⊙O的直径，则∠APB=°；
②若⊙O的半径是1，AB=，求∠APB的度数；
（2）已知O2是⊙O1外一点，以O2为圆心作一个圆与⊙O1相交于A、B
两点，∠APB是⊙O1上关于点A、B的滑动角，直线PA、PB分别交⊙O2
于M、N（点M与点A、点N与点B均不重合），连接AN，试探索∠APB
与∠MAN、∠ANB之间的数量关系．
对应训练
3．（2012•陕西）如果一条抛物线y=ax2+bx+c（a≠0）与x轴
有两个交点，那么以该抛物线的顶点和这两个交点为顶点的
三角形称为这条抛物线的“抛物线三角形”．
（1）“抛物线三角形”一定是三角形；
（2）若抛物线y=-x2+bx（b＞0）的“抛物线三角形”是等腰直
角三角形，求b的值；
（3）如图，△OAB是抛物线y=-x2+b′x（b′＞0）的“抛物线三
角形”，是否存在以原点O为对称中心的矩形ABCD？若存在，
求出过O、C、D三点的抛物线的表达式；若不存在，说明理由．
A．（7，6）B．（7，-6）C．（-7，6）D．（-7，-6）。
2011年中考英语模拟试题及参考答案
2011年中考英语模拟试题及参考答案一、单项选择(共15分，每小1分)从各题的四个选项中选出一个最佳答案。
( )1. Mum, the phone is ringing, I guess either you or Dad ___________ on the phone.A. are wantedB. is wantedC. wantsD. want( )2. --Which would you like, tea or milk?--_______________is OK. I really don't mind.A. BothB. NeitherC. NoneD. Either( )3. --Look! How fast he is running!--Hard to _______________his legs were once broken.A. knowB. realizeC. imagineD. find( )4. --Did you see a girl in red pass by just now?--No, sir. I _______________a newspaper.A. have readB. was readingC. would readD. am reading( )5. Try to guess its meaning when you meet a new word. Don't _____________ your dictionary all the time.A. work onB. try onC. keep onD. depend on( )6. --Listen! Kate is playing the piano in the next room.--It _______________be Kate. She has gone to Hangzhou to visit the Cross-sea Bridge.A. needn'tB. mustn'tC. can'tD. shalln't( )7. Most of my classmates don't like to talk with their parents, but I am __________ them. I love to talk with my parents.A. the same asB. different fromC. interested inD. angry with( )8. --Have you ever seen “Home with Kids”?--Yes, I like it a lot. It's one of _______________TV plays I've ever seen.A. the most interestingB. more interestingC. the least interestingD. interesting( )9. _______________many children like sugar, I think they had better try not to eat it too often.A. BecauseB. WhenC. AlthoughD. If( )10. --I don't know _________ now.--Her mother says she is much better.A. what is sheB. where is sheC. who is sheD. how she is( )11. --My parents always tell me _________ others late at night.--They're right. It's not polite.A. callB. not callC. not to callD. to call( )12. Everyone likes Frank because he talks to others_______________.A. friendlyB. lovelyC. luckilyD. politely( )13. --What else do you want?--_______________else. I think I have got everything now.A. NothingB. EverythingC. SomethingD. Anything( )14. --Where is Mary? I'd like to have a talk with her.--She _______________the library. You can find her there.A. has been toB. has gone toC. has leftD. will leave( )15. --My parents and I will go to the library tomorrow.--_______________. Shall we go together?A. So am IB. So do IC. So I amD. So will I二、补全对话(共5分)从方框内选择恰当的句子完成下面的对话。
2011年中考英语模拟试题及答案
新世纪教育网 精品资料版权所有@新世纪教育网2011浙江海宁长安片7校九年级英语学业考第二次模拟考试试卷英语答题卷第一部分听力部分一、听力（本题有15小题，第一节每小题1分，第二、第三节每小题2分，计25分）1 _ ___2 _ ___3 _ ___4 _ ___5 _ ___6 _ ___7 _ ___8 _ __9 _ ___ 10 _ ___11 _ ___ 12 _ ___ 13 _ ___ 14 _ ___ 15 _ ___第二部分笔试部分二、单项填空（本题有10小题，每小题1分，共10分）16 _ ___ 17 _ ___ 18 _ ___ 19 _ ___ 20 _ ___21 _ ___ 22 _ ___ 23 _ ___ 24 _ ___ 25 _ ___三、完形填空（本题有15小题，每小题1分，共15分）26 _ ___ 27 _ ___ 28 _ ___ 29 _ ___ 30 _ ___31 _ ___ 32 _ ___ 33 _ ___ 34 _ ___ 35 _ ___36 _ ___ 37 _ ___ 38 _ ___ 39 _ ___ 40 _ ___四、阅读理解（本题有15小题，每小题2分，共30分）41 _ ___ 42 _ ___ 43 _ ___ 44 _ ___ 45 _ ___46 _ ___ 47 _ ___ 48 _ ___ 49 _ ___ 50 _ ___51 _ ___ 52 _ ___ 53 _ ___ 54 _ ___ 55 _ ___五、词汇运用（本题有15小题，每小题1分，共15分）56 __________ 57 __________58 __________ 59 __________ 60 __________61 __________ 62 __________ 63 __________ 64 __________ 65 __________66 __________ 67 __________ 68 __________ 69 __________ 70 __________六、任务型阅读（本题有5小题，每小题1分，共5分）71 _ ___ 72 _ ___ 73 _ ___ 74 _ ___ 75 _ ___七、书面表达（本题共20分）76. Dear students,In some parts of our country, there are many children out of school._______________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _____________________________________________________________________ _________________________________________________Thanks for your joining!Students’Union（学生会）新世纪教育网-- 中国最大型、最专业的中小学教育资源门户网站----- 版权所有@新世纪教育网。
2011年中考模拟试卷(含答案)
2011年中考模拟试卷（英语）（本试卷满分120分，考试时间120分钟）第Ⅰ卷（选择题，三部分，共70分）第一部分听力（共2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.What will the two speakers do tomorrow?A.Go for a drive.B.Go shopping.C.Go swimming.( )2.What is the weather like?A.Sunny with a strong wind.B.Cloud with a light wind.C.Fine with a light wind.( )3.What does the man suggest the woman to do?A.Take a day off work.B.Go and join the people in the office.C.Ask more people to help with the move.( )4.What will happen if fewer people drive car?A.There will be more pollution.B.There will be less pollution.C.There will be no pollution.( )5.When was the boy born?A.He was born on June 15th,1993.B.He was born on June 15th,2007.C.He was born on June 12th,1993.第二节（共15小题，每小题1分；满分15分）听下面5段对话或独白。
2011届名校中考模拟英语分类汇编 任务型阅读(2011年6月专辑)
2011届名校中考模拟英语分类汇编之任务型阅读（2011年6月专辑）【2011年某某北江实验中学初中毕业生学业考试模拟】Wang Lee Hom, the Taiwanese（某某的）pop star, will have a concert this month. Will you be the first in the queue for tickets? Will you think of him all the time? Willyou talk about him with your friends?Many teenagers admire the stars. Everything about them seems tobe right. They smile all day. They don’t have to worry about tests. That’swhy the teenagers like them so much.Some teenagers have their own ways to admire stars. “Most of my classmates have pictures of stars on the covers of their textbook,” says Xiang Tiantian from Jangxi.Many teenagers think they love stars. But when they get older, the feeling goes away. They know that stars are just mon people like them .They still like stars, but in a different way.Remember not to let the feeling affect（影响）your life and your school work. It’s fine to love a star’s songs or TV shows, but there are many other things you can do in the world.Information CardWho is Wang Lee Hom? He is a 81Because they smile all day and don’t have to Why do many teenagers admire the stars?82What’s the way that Xiang Tiantian’sThey 83classmates admire the stars?Are the stars mon people like us? 84What’s the right way to admire stars? Not to let the feeling 85【答案】81.Twaiwanese pop star 82.worry about tests83.have pictures of stars on the covers of their textbook.84.Yes, they are. 85.affect your life and your school work.【2011年市某某区中考模拟】For many of us the home in our hearts is one we remember from childhood(童年时期). For me it was the real house I ever lived in. The house had a big front yard with a swing(秋千) on it. Mary is my sister. We were both 8 years old at the time, but we weren’t twins. I in was January, and she in December. When it rained, we’d play there with neighborhood(街坊) kids, tell each other movies we’d been to, and sing rounds like “Row, Row, Row your Boat.” I remember laughing a lot at funny stories. Inside, of course, was the kitchen. I remember Mom putting newspapers on the kitchen table. In that room, I also remember the more pleasing aroma(芳香) of dinner being cooked. They say smell is the strongest sense memory. I can still smell the soup. Whatever the dinner was, the family would always eat it every night in the dining room when Dad was home. After dinner, Mary and I would help with the dishes: I’d wash, and she’d dry. There was a lot of singing going on, too. In the living room there was the piano. Mom often played “That Old Silver Moon” on it. Both Mary and I were taking piano lessons so there was much practicing. When the piano wasn’t playing, the radio was.The expression “Home Sweet Home,” to me, is the memory of voices and faces in that place on Thanksgiving and Christmas, of other family members—grandparents, aunts, uncles, cousins, and the little dog named Inky. It’s not the rooms of that house I think of so much as what went on there. It’s always the people, the singing, laughing, and joking—and occasionally quarreling(吵架) and crying. Quite often, e to think of it. You go back and look at a house all these years later, and it seems so different now, much smaller than you remember. And you realize that if it’s still there at all, it has to be basically what it was. It’s not the brick(砖块), the shape, or size that matters.It’s us who have changed.65. Are Mary and the writer twins?66. Does the writer have a small family or a big family?67. What did the writer usually do after dinner?68. Why does the house look smaller to the writer now?69.What’s in the writer’s memory?【答案】65No, they aren’t.66He has a big family.67He washed the dishes with his sister.68Because he has changed.69His old house，his family members and his family life.【某某省兴化市2010-2011学年度初三网上阅卷适应性训练】A small town named Bundanoon in Australia has decided to stop the sale of bottled water （瓶装水）.It is said that bottled water can cause environmental problems.(1) People use too many resources（资源）to make bottled water.What a pity!（2）When people finishthe water,the bottles will be thrownand go into dusbins. So they require local people in the town to stop buying bottled water and use tap water（自来水）to drink. Tourists are encouraged to get water from water stations in the main streets,and fill the water in bottles that can be used again. The decision has been supported by all the shopkeepers in the town.Bundanoon is the world’s first town that has got its shops to stop selling bottled water. Probably we should follow the example.Let’s stop buying bottled water and use tap water.1. 将（1）句译成中文。
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新概念型问题一、选择题1．（2011年浙江省杭州市中考数学模拟22)（原创）已知2222211211,c x b x a y c x b x a y ++=++=且满足)1,0(212121≠===k k c c b b a a .则称抛物线21,y y 互为“友好抛物线”，则下列关于“友好抛物线”的说法不正确的是（ ）A 、y 1,y 2开口方向，开口大小不一定相同B 、因为y 1,y 2的对称轴相同C 、如果y 2的最值为m ，则y 1的最值为kmD 、如果y 2与x 轴的两交点间距离为d ，则y 1与x 轴的两交点间距离为d k 答案：D二、填空题1、（2011年江苏盐都中考模拟）规定一种新运算a ※b=a 2－2b,如1※2=-3，则2※（－2）= .[来源:学,科,网Z,X,X,K] 答案62、(2011浙江杭州模拟16)刘谦的魔术表演风靡全国，小明也学起了刘谦发明了一个魔术盒，当任意实数对(a ，b)进入其中时，会得到一个新的实数：a 2＋b －1，例如把(3，－2)放入其中，就会得到：32＋（－2）－1＝6．现将实数对(－1，3)放入其中，得到实数m ，再将实数对(m ，1)放入其中后，得到的实数是 ． 答案：9三、解答题1、（2011年北京四中中考模拟20）如图，四边形ABCD 中，AB=AD ，CB=CD ，但AD ≠CD ，我们称这样的四边形为“半菱形”。
小明说“‘半菱形’的面积等于两条对角线乘积的一半”。
他的说法正确吗？请你判断并证明你的结论。
解：正确。
证明如下：方法一：设AC ，BD 交于O ，∵AB=AD ，BC=DC ，AC=AC ， ∴△ABC ≌△ADE ， ∴∠BAC=∠DAC AB=AD ，∴AO ⊥BDAO BD 21S ABD ⋅=∆，CO BD 21S BCD ⋅=∆ CO BD 21AO BD 21S S S BCD ABD ABCD⋅+⋅=+=∴∆∆四边形AC BD 21)CO AO (BD 21⋅=+=方法二：∵AB=AD ，[来源:学.科.网] ∴点A 在线段BD 的中垂线上。
又∵CB=CD ，∴点C 与在线段BD 的中垂线上， ∴AC 所在的直线是线段BD 的中垂线，即BD ⊥AC ； 设A C ，BD 交于O ，∵AO BD 21S ABD ⋅=∆，CO BD 21S BCD ⋅=∆CO BD 21AO BD 21S S S BCD ABD ABCD⋅+⋅=+=∴∆∆四边形[来源:]ACBD 21)CO AO (BD 21⋅=+=2、（2011年北京四中中考模拟18）已知：△ABC 中，AB ＝10 ⑴如图①，若点D 、E 分别是AC 、BC 边的中点，求DE 的长；⑵如图②，若点A 1、A 2把AC 边三等分，过A 1、A 2作AB 边的平行线，分别交BC 边于点B 1、B 2，求A 1B 1＋A 2B 2的值；⑶如图③，若点A 1、A 2、…、A 10把AC 边十一等分，过各点作AB 边的平行线，分别交BC 边于点B 1、B 2、…、B 10。
根据你所发现的规律，直接写出A 1B 1＋A 2B 2＋…＋A 10B 10的结果。
ACD OC BCDH A解：⑴DE=5 ⑵A1B1＋A2B2=10 ⑶A1B1＋A2B2＋…＋A10B10=503、(2011浙江杭州模拟14) 学习过三角函数，我们知道在直角三角形中，一个锐角的大小与两条边长的比值相互唯一确定，因此边长与角的大小之间可以相互转化.[来源:学科网] 类似的，可以在等腰三角形中建立边角之间的联系，我们定义：等腰三角形中底边与腰的比叫做顶角的正对（sad）.如图，在△ABC中，AB=AC，顶角A的正对记作sadA，这时sad A=BCAB=底边腰.容易知道一个角的大小与这个角的正对值也是相互唯一确定的.根据上述对角的正对定义，解下列问题：（1）sad60︒的值为（）A. 12B. 1C.2D. 2[源:]（2）对于0180A︒<<︒，∠A的正对值sad A的取值范围是 .（3）已知3sin5α=，其中α为锐角，试求sadα的值.答案：（1）B；………………………2分（2）02sadA<<；………………………3分(3) 如图，在△ABC中，∠ACB=90︒，sin∠A35 =.在AB上取点D，使AD=AC，作DH⊥AC，H为垂足，令BC =3k，AB =5k，则AD= AC=4k，………………………2分又在△ADH中，∠AHD=90︒，sin∠A35 =.∴12sin5D H A D Ak=⋅∠=，165A H k==.则在△CDH中，45C H A C AH k=-=，5C D==.……………2分于是在△ACD中，AD= AC=4k，5C D k=.由正对定义可得：sadA=5C DAD=，即sadα5=B组[来源:学科网]一、选择题1、（2011年黄冈浠水模拟1）科技馆为某机器人编制一段程序，如果机器人在平地上按照图中所示的步骤行走，那么该机器人所走的总路程为（）．A．6米 B．8米 C．12米 D．不能确定答案：C二、填空题1．（ 2011年杭州三月月考）定义新运算“*”，规则：()()a a ba bb a b≥⎧*=⎨<⎩，如122*=，(*=210x x+-=的两根为12,x x，则12x x*＝▲．答案：215-2. （2011浙江慈吉模拟）如图是某种计算机的程序示意图, 初始端输入x后经“运算中心式子”cbxax++2( 、a b、c是常数, 且0>a,0≠bc)处理后得到一个结果. 若这个结果大于0, 则输出此结果; 否则就将第一次得到的结果作为输入的x再次运行程序……直到输出结果为止. 若该程序满足条件：“存在实数t，当输入x的值等于t时, 该程序的运算无法停止(即会一直循环运行) ”，请写出一个符合条件的运算中心式子以及相应的能使它一直循环运行的x的值__ ▲____，____ ▲_____.[来源:学§科§网]第1题（第15题图）答案：说明：只需使方程x c bx ax =++2有一个负数根即可；如32--x x ，1- [来源:]3．（2011安徽中考模拟）在数学中，为了简便，记1nk k =∑＝1+2+3+…+(n －1)+ n ．1！＝1，2！＝2×1，3！＝3×2×1，…，n ！＝n ×(n －1)×(n －2)×…×3×2×1．则k k ∑=20091－∑=20101k k +!2009!2010= ．答案：04. （2011杭州市模拟）．如图是瑞典人科赫（Koch ）在1906年构造的能够描述雪花形状的科赫雪花图案．图形的作法是，从一个正三角形开始，把每条边分成三等份，然后以各边的中间长度为底边．分别向外作正三角形，再把“底边”线段抹掉．反复进行这一过程，就会得到一个“雪花”样子的曲线．这是一个极有特色的图形：在图形不断变换的过程中，它的周长趋于无穷大，而其面积却趋于定值．如果假定原正三角形边长为a ，则可算出下图每步变换后科赫雪花的周长：1C =3a ，2C = ，3C = ，…，则n C = ．答案：2C =433a ；3C =24()33a ；n C =14()33n a - ，（1+1+2分）5.（2011深圳市三模）在数学中，为了简便，记1nk k =∑＝1+2+3+…+(n －1)+ n .1！＝1，2！CBCDHA＝2×1，3！＝3×2×1，…，n ！＝n ×(n －1)×(n －2)×…×3×2×1.则20061k k =∑－20071k k =∑+2007!2006!＝＿＿＿. 答案： 0.6、（2011杭州模拟20）定义新运算“*”，规则：()()a a b a b b a b ≥⎧*=⎨<⎩，如122*=，(*=210x x +-=的两根为12,x x ，则12x x *＝ ．答案：215-7.（浙江杭州进化2011一模）（本小题满分10分）学习过三角函数，我们知道在直角三角形中，一个锐角的大小与两条边长的比值相互唯一确定，因此边长与角的大小之间可以相互转化.类似的，可以在等腰三角形中建立边角之间的联系，我们定义：等腰三角形中底边与腰的比叫做顶角的正对（sad ）.如图，在△ABC 中，AB=AC ，顶角A 的正对记作sadA ，这时sad A=BC AB=底边腰.容易知道一个角的大小与这个角的正对值也是相互唯一确定的.根据上述对角的正对定义，解下列问题：[来源:Z+xx+] （1）sad 60︒的值为（ ）A.12B. 1C.2D. 2（2）对于0180A ︒<<︒，∠A 的正对值sad A 的取值范围是 . （3）已知3sin 5α=，其中α为锐角，试求sad α的值.答案：（1）B ； （2）02sadA <<；(3) 如图，在△ABC 中，∠ACB=90︒，sin ∠A 35=.在AB 上取点D ，使AD=AC ，作DH ⊥AC ，H 为垂足，令BC =3k ，AB =5k ， 则=4k ，又在△ADH 中，∠AHD=90︒，sin ∠A 35=.∴12sin 5D H A D A k=⋅∠=，165A H k ==.则在△CDH 中，45C H A C A Hk =-=，5C D k ==.……………2分于是在△ACD 中，AD= AC=4k，5C D k =.由正对定义可得：sadA=5C D AD=sadα5=………………………1分8. （2011年杭州市模拟）（本题10分）如图①，将一张直角三角形纸片A B C ∆折叠，使点A 与点C 重合，这时D E 为折痕，C B E ∆为等腰三角形；再继续将纸片沿C B E ∆的对称轴E F 折叠，这时得到了两个完全重合的矩形（其中一个是原直角三角形的内接矩形，另一个是拼合成的无缝隙、无重叠的矩形），我们称这样两个矩形为“叠加矩形”. 图① 图② 图③（1）如图②，正方形网格中的A B C ∆能折叠成“叠加矩形”吗？如果能，请在图②中画出折痕；（2）如图③，在正方形网格中，以给定的B C 为一边，画出一个斜三角形ABC ，使其顶点A 在格点上，且A B C ∆折成的“叠加矩形”为正方形； （3）若一个三角形所折成的“叠加矩形”为正方形，那么它必须满足的条件是什么？[来源:学。
科。
网Z 。
X 。
X 。
K] 答案：（1）（2）图② 图③（说明：只需画出折痕.）（说明：只需画出满足条件的一个三角形；答案不惟一，所画三角形的一边长与该边上的高相等即可.）（3）三角形的一边长与该边上的高相等的直角三角形或锐角三角形.B 第23题。