乐山市2017年初中学业水平考试暨高中阶段教育学校招生考试英语

2017年乐山市中考英语试题及答案笫二部分：英语知识运用（共2节，满分30分）第一节语法和词汇知识（共15小题；每小题1分，满分15分）从A、B、C三个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

21. —Oh, no! We’ve missed the 9 o’clock train!—_______. There’s another one in half an hour.A. Don’t worryB. Hurry upC. Give me a break22. It’s not your turn yet. Please wait on the chair over there until you _______.A. are callingB. have calledC. are called23. The bus is coming. Oh, my God! It’s full. I’m afraid we can’t ________ it.A. get upB. get onC. get off24. —_______ you tell me the differences between these two photos?—No. They look quite similar, nearly the same.A. CanB. MayC. Must25. —Did you get up late this morning?—Yes, so after _______ quick breakfast, I had to run to officeA. /B. theC. a26. —I’m sorry for being late.—Never mind. The meeting _______ for only 5 minutes. This way, please.A. has begunB. has endedC. has been on27. —When shall we go hiking again?—Make it _______ day you like. It’s all the same to me.A. eitherB. anyC. one28. —Look in the mirror. What happened _______ your face?—Oh, there’s some ink on my face.A. toB. onC. in29. —Mike has some difficulty in finishing the task by_______. Could you help him?—No problem.A. himB. himselfC. his30. —Did you say anything to your parents _______ they shouted at you?—No, I was afraid to talk back. They looked really serious and scaryA. unlessB. whyC. when31. —I didn’t hear you come in just now.—That’s good. I tried _______ the baby upA. to wakeB. not to wakeC. waking32. —I can hardly see the words on the screen.—Well, let’s go and take the front seats so that we may see _______.A. clearB. clearerC. more clearly33. Murray plans to study art in the U.K. His friends will _______ off at the airport next week.A. takeB. seeC. leave34. —Look out! Something _______ down from the building.—Dear me! It’s too dangerous.A. fellB. fallsC. is falling35. —Do you know _______ next Friday, Lily?—If it doesn’t rain, we will.A. if we will take a field tripB. will we take a field tripC. why we will take a field trip笫二节完形填空（共15小题；每小题1分，满分15分）阅读下列短文，掌握其大意，然后从36～50各题所给的三个或四个选项中，选出最佳选并在答题卡上将该项涂黑。

四川省乐山市中考英语试卷第一部分：听力（共三节，满分22.5分）第二节（共8小题；每小题1.5分，满分7.5分）听下面5段对话。

每段对话后有一个小题，从题中所给的A、 B、C三个选项中选出最佳选项，并标在试卷的相应位置。

每段对话读两遍。

6．What are they talking about？A．Where to stay．B．What to eat．C．How to play．7．Which month of the year is this？A．July．B．April．C．November．8．What kind of music is Helen's favourite？A．Country music．B．Pop music．C．Jazz．9．How old do you think the two speakers are？A．About sixty．B．About forty．C．About twenty．10．What does the woman want to know？A．How much money the man makes．B．What the man usually does after work．C．What the man does with most ofhis money．11．听下面一段材料，回答第1 1至13题．11．Where is the man going？A．To the library．B．To the bank．C．To the post office．12．How long will it probably take if the man goes there by bus？A．Less than ten minutes．B．About ten minutes．C．More than ten minutes．13．How will the man go there？A．By bus．B．On foot．C．By taxi．14．听下面一段材料，回答第14至16题．14．For whom is the birthday party held？A．Susan．B．David．C．Lucy．15．What does the woman speaker offer to do？A．She will invite the guests．B．She will help prepare for the party．C．She will buy some records for the party．16．What do we know from the dialogue？A．David will give somebody a big present．B．Many people will come to the birthday party．C．The birthday girl （ boy） knows nothing about the party．17．听下面一段材料，回答第 17至 20题．17．Which country does Jack Hall come from？A．America．B．England．C．Canada．18．What subjects did Jack Hall study hard at school in order to be an astronaut？A．Maths and science．B．Science and physics．C．Physics and maths．19．Where did he get a job after graduating from university？A．In a space station．B．In a space agency．C．In a research center．20．How many people working in the space programme can go into space in the end？A．Only a few of them．B．Only half of them．C．Most of them．笫二部分：英语知识运用（共2节，满分15分）第一节语法和词汇知识（共15小题；每小题1分，满分15分）从A、B、C三个选项中，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。

好记星书签四川省2017级普通高中学业水平考试英语试卷(考试时间:90分钟;满分:100分)本试卷分为第一卷和第二卷两部分。

第一卷为选择题，第二卷为非选择题.注意事项：(1)答题前，务必将自己的姓名、准考证号、考试科目等填写在试卷和答题卡指定的位置。

(2)第一卷的答案务必答在答题卡上。

若答在试卷上，将被视为无效。

每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。

如需改动请用橡皮擦干净后，再选涂其它答案。

(3)第二卷的答案直接答在试卷上。

(4)考试结束时，由监考人员将试卷和答题卡一并收回。

第一卷选择题(共70分)第一部分听力(共两节,满分20分)做题时,先将答案标在试卷上。

录音内容结束后,再将试卷上的答案转涂到答题卡上。

第一节对话理解(共10小题;每小题1分,满分10分)本部分有10段简短对话。

根据你听到的对话内容,选择最佳选项。

每段对话读两遍1. When will the movie begin?A.At8:15B.At8:45C.At8:502. Where does the conversation probably take place?A. In a restaurantB. In a libraryC. In a hospital3. How often does the woman water the plant?A. Every dayB. Once a weekC. Once a month4. How will the man go to London?A. By plane.B. By trainC. By ship5. What is Tom going to do this evening?A. Study for a testB. See a filmC. Take an exam6. What sport does John like?A. SkatingB. SwimmingC. Running7. What is the weather like?A. SunnyB. WindyC. Rainy好记星书签8. What is the probable relationship between the speakers?A. NeighborsB. ClassmatesC. Strangers9. How does David usually study English?A. By watching English movies.B. By listening to English programsC. By reading English books10. What are the speakers mainly talking about?A. The girls birthdayB. A painter.C. A painting第二节语篇理解(共5小题;每小题2分,满分10分)本部分有1段独白。

语法和词汇知识2019第一节语法和词汇知识（共15 小题；每小题1 分，满分15 分）从 A、B、C 三个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。

21.–I’m afraid I can’t do well in the running race. I might let my classmates down.–. You don’t need to push yourself too hard.A. What a pityB. Take it easyC. It’s a pleasure22.–Where is Monica? I can’t find her anywhere.–She be in the library. She loves reading books when she is free.A. mustB. needC. can’t23.–Allan, I found a red eraser under your chair. Is it yours?–Oh, yes. It’s. Thank you, Mike.A. meB. myC. mine24.–What are you looking for?–I’m looking for the storybook you lent to me last week.A. whoB. whichC. when25.–are the students in your class?–Most of them are only fourteen.A. How longB. How manyC. How old26.Bike sharing is very useful in our daily life it still has some disadvantages.A. unlessB. becauseC. although27.–Look, Linda. The flowers in our classroom came out in one night.–I can’t believe it. They are beautiful and colorful. They great.A. soundB. smellC. taste28.–You’d better take an umbrella. The weather report says it in the afternoon.–Thank you. I will put one in my bag.A. will rainB. rainsC. is raining29.–Do you have this T-shirt in a different color?–I’m afraid not. It only comes red.A. ofB. inC. for30.–I went to see you yesterday evening. But you weren’t in. Where were you then?–I a walk by the lake with my father.A. was havingB. am havingC. have had31.–Can you kick the ball to end of the football field?–It’s hard for me. I think few goalkeepers can make it.A. anotherB. the otherC. other32.–What should I do, doctor?–healthy, you should take more exercise.A. KeepB. KeepingC. To keep33.–It’s already 7:50. If you want to get to the meeting on time, you must , Jack.–I see. I’ll walk quickly.A. hurry upB. ring upC. stay up34. is quite easy for people to find any place in the world with the help of online maps.A. ThatB. ItC. One35.–I’m doing a survey. Could you tell me ?–Sure. I usually go to work at 7:00 am.A.when do you go to workB.how you go to workC.when you go to work21~25 BACBC 26~30 C BABA 31~35 BCABC2018第一节语法和词汇知识（共15 小题；每小题 1 分，满分15 分）从A、B、C三个选项中，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。

初三的学生备考的阶段就要多做中考英语练习真题，并加以复习，这样能更快提升自己的成绩。

以下为大家提供2017乐山中考英语练习真题及答案，考生可以进行复习来提高成绩!2017乐山中考英语练习真题第一部分：听力(共两节;满分20分)第一节：(共5小题;每小题1分，满分5分)听下面5段小对话，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。

每段对话读一遍。

( )1. Where would Paul like to go on vacation?( )2. What does Tony often do on weekends?( )3. Which would the girl most like to eat?( )4. Which girl is Jack’s sister?( )5. What did Robert do during the weekend?第二节：(共15小题;每小题1分，满分15分)听下面几段材料，每段材料后有一个或几个小题，从题中所给的A、B、C 三个选项中选出最佳选项。

每段材料读两遍。

( )6. What might the air in the town be like?A. Dirty.B. Clean.C. Wet.( )7. Who is Li Ping?A. Lin Tao’s friend.B. Lin Tao’s classmate.C. Lin Tao’s cousin.( )8. What does Peter most want to be?A. A reporter.B. A magician.C. A DJ.( )9. What does Sam think of the movie?A. Boring.B. Serious.C. Educational.( )10. How often does John go to the theater?A. At least three times a month.B. At least twice a week.C. At least once a week.听下面一段材料，回答11-12题( )11. What is Susan’s dream?A. To be in America’s Got Talent.B. To be a talented student.C. To visit America.( )12. How many candles can Susan blow out at a time?A. Ten.B. Fifteen.C. Twenty.听下面一段材料，回答13-15题( )13. How was Tim’s vacation?A. Wonderful.B. Exciting.C. Terrible.( )14. What was the weather like on that day?A. Rainy.B. Cloudy.C. Windy.( )15. Why did Tim reach the top of the mountain at night?A. Because it was raining very hard.B. Because there were too many people.C. Because Tim was very tired.听下面一段材料，回答16-20题( )16. Where did Emily go on May Day vacation?A. To Hangzhou.B. To Hainan.C. To Dalian.( )17. What did Sam do on May 1st?A. He swam in the sea.B. He visited the museums.C. He went to the park.( )18. How did Sam go to the museum?A. On foot.B. By bus.C. By bike.( )19. How was the weather on the morning of May 3rd?A. Sunny.B. Windy.C. Rainy.( )20. How was the park?A. Big and noisy.B. Clean and green.C. Crowded and small.第二部分笔试部分(80分)一、单项选择：(15分每小题1分)21.The man has ______friends in this city,so he often stays at home.A.a fewB.fewC.little22._____went hiking last weekend because of the bad weather.A.No oneB.EveryoneC.Nothing23.Do you enjoy _____ a volunteer?If you want _____this,you’d better join us.A.being knowingB.to be knowingC.being to know24.Thank you for____ me ____my lessons.A.help withB.help ofC.helping with25.____he studied very hard every day, ____he didn’t pass the exam.A.Although butB.Because soC.Although /26.You can improve your English____practicing more.A.byB.withC.of27.The more you smile,the____you will feel.A.happyB.happierC.more happily28.What do you think ____the funniest subject?A.doesB.isC.are29.Who sings __________ , you or your sister?A.goodB. wellC. better30.Beijing is the best place ____A.to go on vacationB.going on vacationC.to go vacation31.Look at the man over there.He is ____uncle.A.Jim’s and Tim’sB.Jim’s and TimC.Jim and Tim’s32.When I walked past the classroom,I saw some students____English homework.A.doB.doingC.are doing33.Mr has ____to tell us.A.some good pieces newsB.some pieces of good newsC.some pieces of good news34.Luxun is famous ____ a writer.A.asB.forC.of35.I’d like a cup of coffee, what about you?I prefer coffee ____ sugar.A.thanB.withC.for二、完形填空：(10分每小题1分)There is 36 old woman in America. She 37 children at all. But she likes 38 . She has black cats and white cats. She has 39 cats and baby cats. So the children like to come to 40 house. They play with the cats. More and more cats come to the old woman’s house. Soon there are 41 cats. The old woman can’t feed them 42 .Then she has a good 43 . “The children love my cats. ”she thinks. So she 44 each child a cat. Then she is happy. And the children are happy. 45 the cats are happy, too. Each of them has a home.( )36.A./ B.the C.an( )37.A.doesn’t like B.not likes C.don’t like( )38.A.cat’s B.cat C.c ats( )39.A.mother B.mother’s C.mothers( )40.A.my B.their C.her( )41A.very much B.too many C.too much( )42.A.good B.at all C.so much( )43.A.help B.idea C.ways( )44.A.giving B.to give C.gives( )45.A.So B.And C.Too三、阅读理解：(20分每小题2分)AMr. Gao lives in a town. When he was twenty-five, his son was born. He calls him Gao Ling. The little boy is clever. He and his wife love him very much. It’s September 1st today. A new school year begins. Gao Ling is happy and wears his most beautiful clothes. He’s going to school with his new bag.” Let me take you to school, dear,” said Mrs. Gao . “Thank you, Mummy,” said the boy. “The school is not far from here. I can go there myself.”At school a teacher met the little boy and asked, “What’s your name, my little friend?” “Gao Ling, sir,” answered the boy. “How old are you?” “Six, sir.” “What’s your father’s name?” “Gao Daling, sir.” “How old is he?” “He is six, too, sir.” “Oh,” the teacher said in surprise. “Is he as old as you?”“Yes, sir,” said the boy. “He became a father only on the day when I was born.”( )46. Mr. Gao is _____now.A. sixB. twenty-fiveC. thirty one( )47. Mr. and Mrs. Gao love their son because_____.A. the boy is cleverB. he likes to go to schoolC. he can go to school himself( )48. Gao Ling didn’t let his mother take him to school because_____.A. she was too busyB. his friends could took himC. the school is near and he could take care of himself( )49. Gao Ling went to school_____.A. by carB. on footC. by bike( )50. Gao Ling thought_____.A. his father and he were born on the same dayB. his father forgot to tell him about his ageC. Gao Daling became a father only for six yearsBThe meeting lasted three hours. Mr. Jackson looked at the clock on the wall. It was a quarter to eight. “The last bus started fifteenminutes ago,” thought the man, “It means I’ll have to stay in a hotel tonight.”Mr. Jackson always drove home after work. He lived outside the city. There was something wrong with his car these days, so he had to take a bus to his office. That afternoon, he had to discuss(讨论) something important with others, so he couldn’t catch the bus. At last the meeting was over. It began to snow after he came out of the warm office. He wanted some warm food and soup first. Most restaurants were full of people and he went into a small one. The waiter came up quickly and showed the menu to him. “Some hot soup, please.” said Mr. Jackson. About twenty minutes later, the young man brought the soup to him. When Mr. Jackson was drinking, he found something in it. “Come here, boy,” he called out, “Look! There’s a gray hair in my soup!”“ It’s very strange(奇怪), sir,” said the waiter. “ It’s usually a fly(苍蝇), I remember.”( )51. Mr. Jackson usually went home__________.A. by busB. by carC. by bike( )52. ________, so Mr. Jackson had to stay in the hotel.A. The last bus leftB. Something was wrong with his carC. It was very cold that evening( )53. The last bus started at __________.A. 7:30B. 7:45C. 8:00( )54.Mr. Jackson wanted some hot soup first because_______.A. the restaurant was very coldB. he was hungryC. he felt cold after he left the warm office( )55. The waiter’s words mean that___________.A. the hair w as Mr. Jackson’s.B. there were usually flies in the soupC. he had to say sorry to Mr. Jackson四、补全对话(5分每小题1分)Teacher：Tina, do you think you are different from your sister Tara?Tina： Oh, sure. 56.______________________________.Teacher：Really?In what ways are you different?Tina：Well, I’m more outgoing than Tina. 57__________________. AndI love sports.Tara: Yes, 58._______________.Teacher：59._____________________?Tara： Tina thinks she works harder than me, but I work as hard a s Tina. But she’s smarter than me.Tina: 60.___________. She always gets up earlier than me.A. Who’s more hard working at schoolB. We look similar but we’re very differentC. she can run faster and jump higher than meD. I’m friendlier and funn ier, tooE. Not really五、句型转换：(5分每小题1分)61.She often reads books.(用yesterday 替换often)She ________ books yesterday.62.He is always late for class.(改为否定句)He is ________late for class .63.Nelly sang so well.(对划线部分提问)________ ________ so well.64.What does she think of the plan?(同义句转换)____ ____ ____ ____ the plan?65The fruit in this shop is fresher than the fruit in any other shop.(同义句转换)The fruit in this shop is ________ ________.六、根据汉语提示完成英语句子。

乐山市2017年初中学业水平开始暨高中阶段教育学校招生考试英语第二部分：英语知识运用（共2节，满分30分）第一节语法和词汇知识（共15小题，每小题1分，满分15分）从A、B、C三个选项中，选出可以填入空白处的最佳选项，并在答题卡上把该项涂黑。

21.—Oh, no! We’ve missed the 9 o’clock train!—______. There’s another one in half an hour.A. Don’t worryB. Hurry upC. Give me a break21. A 【解析】考查情景交际。

A项“不要担心”B项“快点”C项“让我休息一下”。

由语境可知，没赶上九点的火车不要担心，因为半小时后还有一辆。

故选A。

22. It’s not yout turn yet. Please wait on the chair over there until you ______.A. are callingB. have calledC. are called22. C【解析】考查被动语态。

句意：还没轮到你，请在那边的椅子上等一等直到有人喊你。

you与谓语动词call是被动关系，故用一般现在时的被动语态。

答案为C项。

23. The bus is coming. Oh, my God! It’s full. I’m afraid we can’t ______ it.A. get upB. get onC. get off23. B【解析】考查动词短语的辨析。

get up“起床”，get on“上车”，get off“下车”。

由语境可知，公交车上满座了，恐怕我们无法上车了。

故选B。

24.—______ you tell me the differences between these two photos?—No. They look quite similar, nearly the same.A. CanB. MayC. Must24. A【解析】考查情态动词的辨析。

乐山市2017年初中学业水平开始暨高中阶段教育学校招生考试英语试题第二部分：英语知识运用（共2节，满分30分）第一节语法和词汇知识（共15小题，每小题1分，满分15分）从A、B、C三个选项中，选出可以填入空白处的最佳选项，并在答题卡上把该项涂黑。

21.—Oh, no! We‟ve missed the 9 o‟clock train!—______. There‟s another one in half an hour.A. Don‟t worryB. Hurry upC. Give me a break21. A 【解析】考查情景交际。

A项“不要担心”B项“快点”C项“让我休息一下”。

由语境可知，没赶上九点的火车不要担心，因为半小时后还有一辆。

故选A。

22. It‟s not yout turn yet. Please wait on the chair over there until you ______.A. are callingB. have calledC. are called22. C【解析】考查被动语态。

句意：还没轮到你，请在那边的椅子上等一等直到有人喊你。

you与谓语动词call是被动关系，故用一般现在时的被动语态。

答案为C项。

23. The bus is coming. Oh, my God! It‟s full. I‟m afraid we can‟t ______ it.A. get upB. get onC. get off23. B【解析】考查动词短语的辨析。

get up“起床”，get on“上车”，get off“下车”。

由语境可知，公交车上满座了，恐怕我们无法上车了。

故选B。

24.—______ you tell me the differences between these two photos?—No. They look quite similar, nearly the same.A. CanB. MayC. Must24. A【解析】考查情态动词的辨析。

四川省乐山市九年级英语中考阶段教育学校招生统一考试外研版英语学科考试说明一、考试性质2009年乐山市初中毕业会考暨高中阶段学校招生统一考试是义务教育阶段的终结性考试，是以初级中等学校毕业生为对象的达标性和选拔性考试，目的是全面、准确地考查初中毕业生在英语学习方面达到《全日制义务教育英语课程标准》（以下简称《课程标准》）规定的英语毕业水平的程度。

考试结果既是衡量学生是否达到毕业标准的主要依据，也是高中阶段学校招生的主要依据。

二、考试范围以《课程标准》对初中阶段学习结束所要求的五级目标的内容和要求为命题依据，考试范围为外语教学与研究出版社《英语》（新标准）初中一年级上、下册，初中二年级上、下册和初中三年级上、下册。

三、考试内容和要求全面测试考生对义务教育阶段的基础英语语言知识的掌握和综合运用语言的能力。

考试内容根据《课程标准》中规定的五级语言知识和语言技能要求进行细化。

一）语言知识：要求考生能够适当运用基本的语法知识，学会使用约1600个单词和200个左右的习惯用语或固定搭配。

二）语言技能（运用）四、考试方法考试采用闭卷、书面作答的方式进行。

五、试卷结构（一）试卷分数：试卷满分150分，考试时间为120分钟。

（二）全卷难度比例：易中难比例为6：3：1（三）试题结构及分值试卷由两卷四部分组成。

第Ⅰ卷（选择题）包括听力、英语知识运用、阅读理解三部分，第Ⅱ卷（非选择题）为语言运用部分。

第一部分：听力（共30分）分为三小节，测试考生理解口头英语并获取信息的能力。

第一节：听音选图共5小题；每小题1.5分。

要求考生听5段小对话，并根据对话内容，从题中所给的3幅图中选出与其内容相符合的选项。

（每段对话读两遍）第二节：对话理解共5小题；每小题1.5分。

要求考生根据5段小对话内容，从题中所给的3个选项中选出最佳选项。

（每段对话读两遍）第三节：长对话或短文理解共10小题；每小题1.5分。

要求考生根据3段对话或独白，从题中所给的3个选项中选出最佳选项。

乐山市高中阶段教育学校招生考试数 学第Ⅰ卷（选择题 共30分）一、选择题：本大题共10小题，每小题3分，共30分．在每小题给出的四个选项中，只有一个选项符合题目要求1．下列各数中，最小的是（ ） A ．3-B ．2-C ．0D 32．温家宝在的《政府工作报告》中指出：为应对国际，实施总额4万亿元的计划，刺激经济增长，4万亿元用科学计数法表示为（ ） A ．8410⨯元B ．11410⨯元C ．12410⨯元D ．13410⨯元3．如图（1），AB CD ∥， AD 和BC 相交于点O ，2580A COD =︒=︒∠，∠，则C ∠=（ ）A ．65︒B ．75︒C ．85︒D ．105︒4．下列命题中，假命题．．．是（ ） A ．两点之间，线段最短B ．角平分线上的点到这个角的两边的距离相等C ．两组对边分别平行的四边形是平行四边形D ．对角线相等的四边形是矩形5．如果实数k b 、满足0kb <，且不等式kx b <的解集是bx k>，那么函数y kx b =+的图象只可能是（ ）6．为了解初三学生的体育锻炼时间，小华调查了某班45名同学一周参加体育锻炼的情况，并把它绘制成折线统计图（如图（2）所示）．那么关于该班45名同学一周参加体．育锻炼时间．．．．．的说法错误．．的是（ ） A ．众数是9B ．中位数是9C ．平均数是9D ．锻炼时间不低于9小时的有14人A B OCD图A y O x y O xBy OxCyO xD图101520学生人数58 1810 4 锻炼时间（小时）7．在电视台2套“开心辞典”节目中，有一期的某道题目是：如图（3）所示，天平中放有苹果、香蕉、砝码，且两个天平都平衡，则一个苹果的重量是一个香蕉的重量的（ ）A ．43倍 B ．32倍 C ．2倍 D ．3倍8．如图（4），一圆锥的底面半径为2，母线PB 的长为6，D 为PB 的中点．一只蚂蚁从点A 出发，沿着圆锥的侧面爬行到点D ，则蚂蚁爬行的最短路程为（ ） A 3 B ．23C ．33 D ．39．已知1x =是关于x 的方程22(1)10k x k x -+-=的根，则常数k 的值为（ ） A ．0 B ．1 C ．0或1 D ．0或-110．如图（5），在Rt ABC △中，9068C AC BC O ∠===°，，，⊙为ABC △的内切圆，点D 是斜边AB 的中点，则tan ODA ∠=（ ） A ．32B ．33C 3D ．2 第Ⅱ卷（非选择题 共120分）二、填空题：本大题共6小题，每小题3分，共18分．把答案填在题中的横线上． 11．13-的相反数是 ． 12．分解因式：228x -= ．13．若实数a b 、在数轴上对应的点的位置如图（6）所示，则化简a b b a ++-的结果是 ．14．如图（7），AB 为O ⊙的直径，弦CD AB ⊥于点H ，连结OC AD 、，若BH CO ∶12=∶，43AD =，则O ⊙的周长等于 ．图C BAO图a b1-1 图AC OH BD图1-2 -1 2yxO 图PBA D图15．已知正比例函数1y x =，反比例函数21y x =，由12y y 、构造一个新函数1y x x=+，其图象如图（8）所示．（因其图象似双钩，我们称之为“双钩函数”）．给出下列几个命题：①该函数的图象是中心对称图形；②当0x <时，该函数在1x =-时取得最大值-2； ③y 的值不可能为1；④在每个象限内，函数值y 随自变量x 的增大而增大． 其中正确的命题是 ．（请写出所有正确的命题的序号） 16．如图（9），30AOB =︒∠，过OA 上到点O 的距离为1，3，5，7，…的点作OA 的垂线，分别与OB 相交，得到图（9）所示的阴影梯形，它们的面积依次记为123S S S ，，，…．则 （1）1S = ；（2）通过计算可得2009S = ．三、本大题共3小题，每小题9分，共27分.17．解不等式组543121 25x x x x +>⎧⎪--⎨⎪⎩，≤．18．如图（10），在等腰梯形ABCD 中，AD BC G ∥，是边AB 上的一点，过点G 作GE DC ∥交BC 边于点E F ，是EC 的中点，连结GF 并延长交DC 的延长线于点H ．求证：BG CH =．19．若实数x y 、满足26190x x x y +-+=．求代数式2211yx y x y x y⎛⎫+÷ ⎪-+-⎝⎭的值．（要求对代数式先化简，再求值．）A D C H F E BG 图OAB图S 1S 2S 3S 4四、本大题共3小题，每小题10分，共30分.20．图（11）是由边长为1的小正方形组成的方格图．（1）请在方格图中建立平面直角坐标系，使点A 的坐标为(33)，，点B 的坐标为(10)-，； （2）在x 轴上画点C ，使ABC △是以AB 为腰的等腰三角形，并写出所有满足条件的点C 的坐标．（不写作法，保留作图痕迹）21．如图（12），一次函数122y x =--的图象分别交x 轴、y 轴于A B 、两点，P 为AB 的中点，PC x ⊥轴于点C ，延长PC 交反比例函数(0)ky x x=<的图象于点Q ，且1tan 2AOQ ∠=． （1）求k 的值； （2）连结OP AQ 、，求证：四边形APOQ 是菱形．AB 图yQAC PBOx图（12）22．一个不透明的口袋里装有红、白、黄三种颜色的乒乓球（除颜色外其余都相同），其中白球有2个，黄球有1个．若从中任意摸出一个球，这个球是白球的概率为25． （1）求口袋中红球的个数；（2）把口袋中的球搅匀后摸出一个球，放回搅匀再摸出第二个球，求摸到的两个球是一红一白的概率．（请结合树状图或列表加以解答）五、本大题共2小题，每小题10分，共20分.23．本题为选做题，从甲、乙两题中选做一题即可，如果两题都做，只以甲题计分． 甲题：关于x 的一元二次方程22(23)0x k x k +-+=有两个不相等的实数根αβ、． （1）求k 的取值范围；（2）若6αβαβ++=，求2()35αβαβ-+-的值．乙题：如图（13），在正方形ABCD 中，E F 、分别是边AD CD 、上的点，14AE ED DF DC ==，，连结EF 并延长交BC 的延长线于点G ． （1）求证：ABE DEF △∽△；（2）若正方形的边长为4，求BG 的长． 我选做的是___________．24．如图（14），某学习小组为了测量河对岸塔AB 的高度，在塔底部点B 的正对岸点C 处，测得塔顶点A 的仰角为60ACB ∠=°．（1）若河宽BC 是36米，求塔AB 的高度；（结果精确到0.1米）（2）若河宽BC 的长度不易测量，如何测量塔AB 的高度呢？小强思考了一种方法：从点C 出发，沿河岸前行a 米至点D 处，若在点D 处测出BDC ∠的度数θ，这样A E D FBC G 图 （1）河的两岸互相平行； （2）这是一个立体图形； （3）B 、C 、D 在同一平面内，A 、B 、C 也在同一平面内； （4）AB ⊥BC ，BC ⊥CD .就可以求出塔AB 的高度了．小强的方法可行吗？若行，请用a 和θ表示塔AB 的高度，若不能，请说明理由．六、本大题共2小题，第25题12分，第26题13分，共计25分. 25．如图（15），在梯形ABCD 中，906DC AB A AD ∠==∥，°，厘米，4DC =厘米，BC 的坡度34i =∶，动点P 从A 出发以2厘米/秒的速度沿AB 方向向点B 运动，动点Q 从点B 出发以3厘米/秒的速度沿B C D →→方向向点D 运动，两个动点同时出发，当其中一个动点到达终点时，另一个动点也随之停止．设动点运动的时间为t 秒． （1）求边BC 的长；（2）当t 为何值时，PC 与BQ 相互平分；（3）连结PQ ，设PBQ △的面积为y ，探求y 与t 的函数关系式，求t 为何值时，y 有最大值？最大值是多少？CBQP图（15）A BC aD θ图26．如图（16），在平面直角坐标系中，开口向上的抛物线与x 轴交于A B 、两点，D 为抛物线的顶点，O 为坐标原点．若OA OB OA OB <、（）的长分别是方程2430x x -+=的两根，且45DAB ∠=°．（1）求抛物线对应的二次函数解析式；（2）过点A 作AC AD ⊥交抛物线于点C ，求点C 的坐标； （3）在（2）的条件下，过点A 任作直线l 交线段CD 于点P ，求C D 、到直线l 的距离分别为12d d 、，试求12d d +的最大值．yClxBP DAO 图（16）乐山市高中阶段教育学校招生考试数学试题参考答案及评分意见一、选择题：每小题3分，10小题，共计30分1．A 2．Ｃ 3．Ｂ 4．Ｄ 5．Ａ 6．Ｄ 7．Ｂ 8．Ｃ 9．Ｃ 10．Ｄ 二、填空题：每小题3分，６小题，共计18分 11．1312．2(2)(2)x x +-． 13．2a - 14．8π 15．①②③ 16．3535633注：第15题填对一个得1分，填对2个得2分，填对3个得3分，只要填了④都不得分；第16题第一空1分，第2空2分．三、本大题共3小题，每小题9分，共27分17．解：由不等式组：54312125x x x x +>⎧⎪⎨--⎪⎩ ①≤ ② 解不等式①，得2x >-． ························································································ 3分 解不等式②，得5(1)2(21)x x --≤．即5542x x --≤．∴3x ≤．··········································································································· 7分 由图（1）可知不等式组的解集为：23x -<≤． ························································· 9分18．证明：四边形ABCD 为等腰梯形，B DCB ∴∠=∠．GE DC GEB DCB ∴∠=∠∥，． ··········································································· 2分 GEB B GB GE ∴∠=∠∴=．．················································································· 4分 在GEF △和HCG △中，GE DC GEF HCF ∴∠=∠∥，． ·········································································· 5分 F 是EC 的中点，FE FC ∴=．··········································································· 6分 而GFE CFH ∠=∠（对顶角相等），GEF HCF ∴△≌△．··························································································· 7分 GE HC BG CH ∴=∴=，． ···················································································· 9分 19．解：26190x x x y +-+=，2(3)10x x y ∴+-+=．··················································································· 1分 -2 3 图3010x x y ∴+=-+=且．解得：3, 2.x y =-=- ·························································································· 3分2211yx y x y x y ⎛⎫+÷ ⎪-+-⎝⎭=222()()x x y x y x y y-⨯-+ ····················································································· 5分=2.7x················································································································ 7分 将3,2x y =-=-代入， 则上式=2(3)3.2⨯-=- ··························································································· 9分 四、本大题共3小题，每小题10分，共30分 20．解：（1）所作图形如图（2）所示． ···················· 4分（2）以AB 为腰的等腰三角形有123ABC ABC ABC △、△、△，其中点C 的坐标分别为：1(60)C -，、2(40)C ，、3(70)C ，． ········································································· 10分 21．解：（1）122y x =--， 令0y =，得4,x =-即(4,0)A -． 令0x =，得2,y =-即(02)B -，．42OA OB ∴==，．····························································································· 2分 PC x ⊥轴，90AOB ∠=°，PC BO ∴∥．······································································································ 3分 又P 为AB 的中点，C ∴为AO 中点．PC ∴是ABO △的中位线，AC CO =．1122PC BO OC ∴===，．·················································································· 4分 又11tan 22QC AOQ CO ∠=∴=，． 1(21)QC Q ∴=∴-．，． ··························································································· 5分 把(21)Q -，代入ky x=，得2k =-． ·········································································· 6分 （2）证明：由（1）可知12QC PC AC CO ====，，且AO PQ ⊥，························· 8分 ABC 1C 2C 3图∴四边形APOQ 是菱形． ····················································································· 10分22． 解：（1）设口袋中红球的个数为x 个．由题意得：22215x =++．····················································································· 4分 解得2x =．即口袋中红球的个数为2个． ················································································· 7分 黄 白1 白2 红1 红2黄 （黄，黄）（黄，白1） （黄，白2） （黄，红1） （黄，红2）白1（白1，黄） （白1，白1） （白1，白2） （白1，红1） （白1，红2） 白2（白2，黄） （白2，白1） （白2，白2） （白2，红1） （白2，红2） 红1（红1，黄） （红1，白1） （红1，白2） （红1，红1） （红1，红2） 红2（红2，黄） （红2，白1） （红2，白2） （红2，红1） （红2，红2）总的可能性有25种，其中，一白一红的可能性有8种． ·············································· 8分故摸到一个是白球，一个是红球的概率为825P =． 答：摸到一个是白球，一个红球的概率为825P =．······················································ 10分 （说明：树状图略）五、本大题共2小题，每小题10分，共20分，其中第23题为选做题． 23. 甲题： 解：（1）方程22(23)0x k x k +-+=有两个不相等的实数根，0∴∆>，即22(23)410k k --⨯⨯>． ······································································· 2分 解得34k <． ········································································································ 4分 （2）由根与系数的关系得：2(23)k k αβαβ+=--=，． ·········································· 5分262360k k αβαβ++=∴-+-=，．解得31k k ==-或．····························································································· 8分 由（1）可知3k =不合题意，舍去．151k αβαβ∴=-∴+==，，．故()2235()519αβαβαβαβ-+-=+--=． ························································ 10分乙题：（1）证明：ABCD 为正方形，90AD AB DC BC A D ∴===∠=∠=，°．····························································· 1分 12AE AE ED AB =∴=，．······················································································· 3分 又1142DF DF DC DE =∴=，．AE DFABE DEF AB DE∴=∴．△∽△．········································································· 5分 （2）解：ABCD 为正方形，ED DFED BG CG CF ∴∴=∥．．··················································································· 7分 又14DF DC =，正方形的边长为4．26ED CG ∴==，． ···························································································· 9分 10BG BC CG =+=．·························································································· 10分 24. 解：（1）在ACB △中，6036AB BC ACB BC ⊥∠==，°，米，tan 60363AB BC ∴==·°． ················································································· 2分3 1.732，36 1.73262.35262.4AB ∴⨯≈≈≈（米） 答：塔AB 的高度约为62.4米． ············································································· 4分 （2）在BCD △中，tan BC CD BDC CD a BC a θθ⊥∠==∴=，，，．························ 7分 在Rt ABC △中，tan 603tan AB BCa θ==·°（米）． 答：塔AB 3tan a θ米． ······································································ 10分 六、本大题共2小题，第25小题12分，第26小题13分，共计25分25．解：（1）作CE AB ⊥于点E ，如图（3）所示，则四边形AECD 为矩形．46AE CD CE DA ∴====，． ························· 1分 又3344CE i EB ∴=∴=∶，．812EB AB ∴==，．······································· 2分 在Rt CEB △中，由勾股定理得：2210BC CE EB +=． ··································································· 3分 （2）假设PC 与BQ 相互平分． 由DC AB ∥，则PBCQ 是平行四边形（此时Q 在CD 上）． ·························································· 4分即310122CQ BP t t =∴-=-，． ············································································· 5分图CABQP E。