浙江省温州市瑞安市集云实验学校等五校2020-2021学年九年级上学期期末英语试题

浙江省温州市五校2025届九年级英语第一学期期末学业水平测试模拟试题考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。

2．第一部分选择题每小题选出答案后，需将答案写在试卷指定的括号内，第二部分非选择题答案写在试卷题目指定的位置上。

3．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

Ⅰ. 单项选择1、It was raining. My father asked me a raincoat.A．take B．takes C．took D．to take2、—do you visit your grandparents?—Once a month.A．How far B．How often C．How long3、—Have you decided where to go for your summer vacation?—Not yet. We______ go to Changchun. It is cool there.A．should B．may C．need D．must4、（2017·广东·28）Two months ago，China tested its ________ aircraft carrier(航空母舰）built completely on its own. A．one B．first C．the one D．the first5、—exciting film we saw yesterday!—I think so.A．What a B．What an C．How an D．How a6、--- Do you think he can get the first prize for jumping?--- Impossible now. He ________ to do so, but he has just hurt his leg.A．has hoped B．was hoped C．has expected D．was expected7、In April, the weather in some places changes a lot. People remember when they have four seasons in one week.A．organized B．describedC．expressed D．experienced8、--- I will be happy if one of the works __________ the artist.-- I am not sure. Perhaps he __________ the one you painted in Tibet last year.A．satisfies; is satisfied with B．satisfied with; is satisfied withC．satisfying; satisfies D．satisfies with ; satisfies9、We all know another building ________ here next year.A．will build B．built C．was built D．will be built10、The sports meeting will be ________till next week because of the bad weather.A．put up B．put on C．put offⅡ. 完形填空11、My Unexpected TeacherOne cold, rainy evening last October, I was going to interview an old lady in the hospital to gather information for my medical thesis(论文）.The old lady was lying on bed 4B．I sat down on a chair next to her bed, and in a low voice I introduced myself and asked how she was doing. She 1 replied that she was getting better. When I told her that I wanted to gather some information from her, she agreed.After I finished the questionnaire, I prepared to leave so I could get more medical records. Before I could get up, the old lady spoke up in her 2 voice, “I haven’t seen you before, Doctor. Are you new?”“Not really, ma’ma. It’s just that I don’t come here every day,” I replied. She started 3 , asking where I was from and why I was working so late in the evening. I was surprised someone in her condition would want to talk. “Doctor, do you think I can get back to my normal life?” the old lady asked at one point.I replied that while I didn’t know much about her case, I could tell her what I had learnt about the recovery of the patients of her kind. However, I was unwilling to go into too much detail 4 I was only a medical student.The old lady started talking about herself. She shared her difficulties and sufferings, talked about her husband, who was killed in a car accident, and her struggle to earn money. All I did was to nod my head as a way of showing my sympathy(同情）.5 , I discovered that the old lady had been allowed to go out of the hospital as her condition had improved, though she would still need treatment.The old lady taught me one of the most important 6 a doctor can learn. Sometimes patients do not need expensive treatment. They just need someone with the patience and willingness to lend an ear to them and spend some time to be with them.1．A．angrily B．carefully C．directly D．softly2．A．strong B．loud C．weak D．sick3．A．making conversation B．losing temperC．playing arick D．jumping to a conclusion4．A．when B．as C．unless D．though5．A．In a few days B．Before a few daysC．A few days later D．A few days ago6．A．stories B．lessons C．experiences D．factsⅢ. 语法填空12、动词应用1．(grow)up is not always easy．When we face difficulties，a spirit of depending on yourself is more useful than 2．(cry)for help．That’s what Hong Zhanhui’s story of growing from boy to man with family hardship 3．(tell) us．Hong 4．(bear) in 1982 in a poor family in Xihua County(县)，Henan Province．When he was only 11，his father 5．(become) badly ill and one day he came back with an unwanted baby girl．A year later，Hong’s mother left home．She no longer wanted 6．(live) such a poor life and face her sick husband．So everything hard fell onto the young boy’s shoulders：to take care of his father and the sister Chenchen，and to go on to study．Although his life was hard，Hong 7．(never go) away from his father and sister．He worked in part—time jobs to feed his family．He climbed tall trees to get birds’ eggs for his sister．He walked two hours at weekends to the market to buy different things to sell around his school．He said that he 8．(make) a good life in the future. A few years later，he studied at a college．To take care of Chenchen，he had worked hard to rent(租)a room near his college for several years.After Hong’s story went public，he became a hero in people’s eyes．But Hong refused offers from others．He said he 9．(feel) encouraged by kind offers，but he could depend on his own work．Through his hard life，he 10．(grow) up from boy to man．Ⅳ. 阅读理解A13、Hot movie in Esplanade Theatre1．How many days does the movie be on?A．For 8 days. B．For 9 days. C．For 10 days.2．How long does each movie last?A．Half an hour. B．One hour. C．One hour and a half.3．If a family of three—Dad, Mum and son go to the theatre in the evening, they have to pay ________ dollars for the tickets.A．85 B．105 C．1204．________ are not allowed to enter the theatre.A．LatecomersB．Adults without childrenC．Kids below three years old5．Which information can’t be found in the advertisement?A．The name of the movie.B．The name of the theatre.C．The name of the director.B14、Y ou’re in a department store and you see two fashionable young women, looking at a sweater. You listen to their conversation:“I can’t believe it—a Lorenzo Bertolla! They are hard to find. It’s much cheaper than the one Sara bought in Rome.”They leave and you go over to see this sweater. You’ve never heard of Lorenzo Bertolla, but those girls looked really fashionable. They must know. So, you buy it. Y ou never realize that those young women are employees of an advertising agency. They are actually paid to go from store to store, talking loudly about Lorenzo Bertolla clothes.Every day we notice what people are wearing, drinking and eating. If the person looks cool, the product seems cool, too. This is the secret of undercover marketing (秘密行销). Companies from Ford to Nike are starting to use it. It can reach people that don’t pay attention to traditional advertising. For example, consumers between the a ge of 18 and 34. They have a lot of money to spend, but they don’t believe ads.So advertising agencies hire (雇佣) young actors to “perform” in bars and other places where young adults go. Some people might call this practice misleading, but the marketing m anager Jonathan Reseller calls it creative. “Look at traditional advertising. Its effectiveness is decreasing”根据材料内容选择最佳答案，并将其标号填入题前括号内。

2024届浙江省温州市实验中学英语九年级第一学期期末质量检测试题注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

Ⅰ. 单项选择1、—Why didn’t you enjoy the talk?—It was talk that I had ever listened to.A．the most interesting B．the least interestingC．more interesting D．less interesting2、一Already five people in the taxi, but the driver managed to take me as well.一Terrible, and it be an uncomfortable journey.A．can B．should C．must D．need3、Our parents always give us many useful suggestions, however, we sometimes can’t understand them ________ we get into trouble.A．if B．when C．though D．until4、We should stop factories from _____ the river.A．pollutes B．polluting C．pollution D．pollute5、— Can Mr King spare some time for the evening party?— If he ______, he will try his best to make it.A．will be invited B．is invited C．invites D．will invite6、Mary got two dolls from her grandfather on her birthday, and she liked ______ very much.A．it B．him C．her D．them7、It’s nice to see you again. We ______ each other for a long time.A．didn’t see B．haven’t seen C．won’t see D．didn’t see8、He is _________ boy, but he knows _________ French words.A．a so little; so many B．a such little; so manyC．so a little; so much D．such a little; so many9、—It’s time to work now.—OK. I’ll wake Carl up. He for an hour.A．falls asleep B．fell asleep C．has been asleep10、— What type of music do you like?— I like _____ music because it has strong local color.A．folk B．classical C．rock D．popⅡ. 完形填空11、Before I could turn 10, I had lost my parents. To 1 myself and my education, I had taken to delivering (递送)newspapers.I would be up every morning by 5 a.m., I would 2 50 copies of newspaper which must have weighed over five kilos. After delivering them, I would rush home-another three kilometers away cook my breakfast, eat 3 and be off to school.One morning, I found a boy of my age at my doorstep. He introduced himself as Jimmy and said his 4 wanted to see me. I guessed they wished to subscribe to(订阅)the newspaper, so I followed him to his place nearby.Jimmy’s mother opened the door. 5 me a large plate of snacks and fruit salad. It was a breakfast, one that brought back 6 of the happ y time with my parents. As I was about to leave, Jimmy’s father, Mr. Kader, appeared with a new bicycle.“This is for7 !”He said, putting my shoulder.“8 I have no money!” I cried.“Who is asking you to9 this, my son?”He continued.It took me a few seconds to sense the 10 moment. I didn’t even realize my tears were rolling down my face. Jimmy’s mother held me closely. It was like11 ,as if my mother were there.Mr. Kader said that my newspaper editor, Mr. Brown, was a friend of his, and the editor told him my 12 .I bowed, thankfully, and left. This time, I didn’t have to13 !For many years after, it was the 14 that changed my life. I also learned a lesson; 15 should always be given according to people’s needs. Never t ry to feed a person who is dying of thirst.1．A．enjoy B．control C．support D．encourage2．A．collect B．make C．find D．read3．A．quietly B．carefully C．nervously D．quickly4．A．classmates B．parents C．neighbors D．teachers5．A．ordered B．sent C．showed D．served6．A．memories B．messages C．chances D．plans7．A．Jimmy B．Mr. Brown C．him D．you8．A．And B．So C．But D．then9．A．pay for B．sell out C．give away D．pick up10．A．relaxing B．warm C．crazy D．interesting11．A．luck B．hope C．life D．home12．A．decision B．secret C．story D．choice13．A．explain B．continue C．walk D．wait14．A．breakfast B．bicycle C．newspaper D．education15．A．Help B．Advice C．Protection D．UnderstandingⅢ. 语法填空12、My mother is a doctor. She is so busy 1．she isn’t able to get back home on time every day. And she has to work on weekends sometimes. So it’s hard for 2．(she) to do all the chores after work. As a member of the family, I think it’s my duty to share some housework. Though mother always says she doesn’t need any help, there are always things I can do. For example, I can help take out the rubbish and wash 3．dishes. I’m sure I can do them 4．(good).What’s more, I’m 5．(try) to be independent. I wash my own clothes, tidy up my bedroom and care for my things. I’m old enough to do these things. And I can’t d6．on my parents forever.I think she is the 7．(one) person I should thank. So show your 8．(thank) to your mom for everything she 9．(do). Just try your b10．to help her. I believe she will feel happy. Try it now.Ⅳ. 阅读理解A13、Who would have thought of creating a library in a war zone where danger surrounds people? But a few book lovers have built an underground library in Darayya, Syria, which provides learning, hope and inspiration.Anas Ahmad is one of the founders of the library and he is a former civil engineering student.Many times he and his friends risk their lives to collect books from destroyed(被毁坏的) houses near the front line(前线). That means they have to be very careful when they go through bombed-out buildings; they have to hide themselves from snipers(狙击手).Since the library was built, its creators have collected more than 14,000 books from abandoned(被弃置的) houses andbu ildings. “We saw that it was important to create a new library so that we could continue our education,” said Ahmad. People throughout the city have put the library to good use. Doctors in the town are using the books to continue their studies and treat patients; these books even help them perform operations. Teachers are using the books to prepare classes in the war town. Unluckily, children will not be found in the library as it is too dangerous to walk there.“You can read about everything in books,” said one reader in the library. “They provide hope for us and help us find light in the darkness.”1．The library in Darayya, Syria was built underground to ________.A．make it more mysterious and funny B．offer a quiet reading environmentC．attract more people to read in it D．avoid the danger from the war2．What’s the main idea of the second paragraph?A．Anas Ahmad is a former civil engineering student.B．Anas Ahmad took risks in collecting books for the library.C．People in Darayya are surrounded by danger.D．The ways to stay away from bombs and the snipers.3．Why did Anas Ahmad help to set up the library?A．To continue the education in the town. B．To inspire the people to fight.C．To offer people a safe place. D．To attract more kids to read books.4．Which of the following is NOT true according to the passage?A．The library’s creators have collected More than 14,000 books so far.B．The library is put into good use by the people in the town.C．Children can be found to read in the library after school.D．The library is not safe enough for the people to read in it.B14、Popular music in America is what every student likes. Students carry small radios with earphones and listen to music before class, after class, and at lunch. Students with cars buy large speakers and play the music loudly as they drive on the street.Adult(成年的)drivers listen to music on the car radio as they drive to work. They also listen to the news about sports, the weather, and the life of American people. Most of the radio programmers are music.Pop or popular music singers make much money. They make a CD or a tape which radio stations use in many places. Once the popular singer is heard all over the country, young people buy his or her tape. Some of the money from these tapes goes to the singer. Wherever the singer goes, all the young people want to meet him or her. Now the singer has become a national(国家的) star.There are other kinds of music that are important to Americans. One is called folk (民间)music. It tells stories about the common life of Americans. Another is western or country music. This was started by cowboys(牛仔)who would sing at night to the cows they were watching. Today, any music about country life and the 1ove between a country boy and his girl is called western or country music.根据材料内容选择最佳答案，将其标号填入题前括号内。

2020～2021学年度上学期初三英语期末试题本试卷共10页，满分150分，考试时间120分钟。

答卷时，选择题答案必须用2B铅笔把答题卡上对应题目的答案标号涂黑：非选择题答案用0.5毫米黑色墨水签字笔在答题卡的相应位置书写作答，在试题卷上答题无效。

I. 听力（共三节，20小题，每小题1.5分，满分30分）第一节听句子听下面五个句子，从每小题所给的三幅图中选出与句子内容相符的选项。

（每个句子读两遍）第二节听对话听下面七段对话，从每小题所给的A、B、C三个选项中选出正确答案。

（每段对话读两遍）听第1段对话，回答第6小题。

6. What does the girl want to be?A. A firefighter.B.A secretary.C. An astronaut.听第2段对话，回答第7小题。

7. What does Darren think is awful in Beijing?A. The weather.B. The traffic.C. The food.听第3段对话，回答第8小题。

8.Who wants to borrow the CD today?A. Jane.B. TomC. Michael.听第4段对话，回答第9小题。

9. How many students go to school by bus?A. Five.B. Ten.C. Fifteen.听第5段对话，回答第10、11小题。

10. What's Maria weak in?A. Pronunciation.B. Listening.C. In a train station.11. What may be the relationship between the two speakers?A. They're policeman and tourist.B. They're father and daughter.C. They're teacher and student.听第6段对话，回答第12、13小题。

浙江省温州市瑞安市五校联考九年级英语上学期期末学业检测试题亲爱的同学：欢迎你参加考试！请认真审题，积极思考，细心答题。

答题时，请注意以下几点：1.全卷满分105分，考试时间为100分钟。

2.卷Ⅰ的选择题答案一律用2B铅笔填涂在答题卡的相应位置上，卷Ⅰ的书写答案以及卷Ⅱ答案填写在答题卡的相应位置上，超出规定范围或写在试题卷上无效。

3.打*号的生词，可以查阅小词典。

卷I听力部分（15分）一、听力（本题有15小题，第一节、第二节、第三节每小题1分，共15分）。

第一节: 听小对话，选择与对话内容相符合的图片。

1. How do people celebrate Christmas?A. B. C.2. What’s the rule in the museum?A. B. C.3. Which wonder did Betty visit?A. B. C.4. What animal does Tom like?A. B. C.5. Which book is Amy reading now?A. B. C.第二节：听下面2 段对话，每段对话后有二个或三个小题，请从题中所给的A、B、C三个选项中选出最佳选项。

听第一段对话，回答第6、7小题。

6. Where is the Science World?A. On the second floor.B. On the third floor.C. On the fourth floor.7. What can we learn there?A. Environment.B. Communications.C. Space.听第二段对话，回答第8-10小题。

8. Why is Tina so excited?A. Sh e’s going to have a party.B. Sh e’s going to visit h er parents.C. Sh e’s going for a trip with h er family.9. How long are they going to stay there?A. A week.B. Two weeks.C. Three weeks.10. When are they going to leave?A. On Jun e 8.B. On July 8.C. On August 8. 第三节：听一段独白，根据内容从A、B、C三个选项中选择正确的选项，完成信息记录表。

浙江瑞安市集云实验学校、安阳实验中学等五校2020届九年级上学期期末考试语文试题及答案部编人教版九年级总复习学年第一学期九年级语文卷.12亲爱的同学：欢迎参加考试！请你认真审题，积极思考，细心答题，发挥出最佳水平。

答题时，请注意以下几点：1.全卷共6页，有3大题，18小题。

满分150分（含书写5分）。

考试时间120分钟。

2.答案必须写在答题纸相应的位置上，写在试题卷、草稿纸上均无效。

祝你成功！一、积累（16分）1．根据拼音写出相应的汉字。

（4分）2．古诗小组积累卡。

根据提示，完成填空。

（12分）对偶：前后两句字数等，结构相同意对称。

写景叙事语言简，论人评事情意浓。

出处诗句赏析刘长卿《长沙过贾谊宅》秋草独寻人去后，①。

斜阳衰草，寒林空寂，斯人已去，唯有嗟叹。

许浑《咸阳城东楼》②，③。

溪云乍起，夕阳沉落；山雨将至，风声满楼。

萧条苍凉，危机四伏。

温庭筠《商山早行》槲叶落山路，④。

槲叶随地飘洒，枳花明丽可爱，却无法抑止思乡的愁绪。

欧阳修《醉翁亭记》野芳发而幽香，⑤。

野花的幽香，繁茂的绿荫，野趣无尽。

用典：引用过去之有关人、地、事、物之史实，或语言文字，怀古伤今，抒发了诗人情感。

出处诗句赏析李白《行路难》闲来垂钓碧溪上，⑥。

引用姜太公和伊尹的典故，表达了⑦。

刘禹锡《酬乐天扬州初逢席上见赠》⑧，⑨。

借向秀《思旧赋》和烂柯人的典故，寄寓了作者还乡时的怅惘之情。

李商隐《无题》蓬山此去无多路，⑩。

借青鸟传信，寄思念之情，惆怅伤感。

杜甫《蜀相》.，.。

借三顾茅庐的典故，表达了对诸葛亮雄才大略，忠心报国的赞颂之情。

二、阅读（69分）（一）《水浒传》小组探究卡（8分）探究主题《水浒传》的个性化人物语言探究方法对比探究参考文献金圣叹《第五才子书施耐庵水浒传》横向对比3.金圣叹评《水浒》人物语言：“一样人，便还他一样说话”。

以下是众好汉初见宋江时说的话，根据小说内容，将序号填入相应的横线处。

（3分）A.“这黑汉子是谁?”B.“小人‘有眼不识泰山’！一时冒渎兄长，望乞恕罪！”C.“天幸今日甚风吹得到此，大慰平生渴仰之念，多幸！多幸！”①柴进▲②李逵▲③武松▲纵向对比话语摘抄A“不合吃着他的请受，权且让他一次。

第一部分听力（共五节，满分30分。

）第一节听句子，选出与所听句子内容相符的图片。

注意听两遍。

（共5题，每题1分，总共5分。

）1.（） A. B. C .2.（） A. . B.C .3.（） A. B. C.4.（） A. B. C.5.（） A. B. C.第二节根据所听到的句子，选择恰当的应答语，注意听两遍。

（共5题，每题1分，总共5分。

）（）6. A. I am very glad. B. Thank you. C. Yes, I think so.（）7. A. It’s a fine day. B. It’s Tuesday the 14th C.It is big.（）8. A. At 3:00 pm. B. 3 hours ago C. For three hours（）9. A. Thanks a lot. B. Yes, he is healthy.C.Sorry, he can’t.（）10.You’re welcome. B. The same to you.C.That sounds boring.第三节听对话及问题，选择正确答案。

注意听两遍。

（共5题，每题1分，总共5分。

）（）11.A. At 7:15. B. At 7:00 C. At 7:45.（）12.A. Lisa B. Mary C. Lisa and Mary（）13.A. Noodles. B.Candy C. Cake（）14.A. In the restaurant B. In the store. C. At Bob’s home（）15.A. Japan B. America C.France第四节听长对话，根据其内容回答问题。

注意听两遍。

（共5题，每题1分，总共5分。

）听第一段对话，完成16-17小题16.（）Where are they going this afternoon?A.To the libraryB.To the bookstoreC.To the reading room.17.（）Whose books are the best-selling these days?A. Yi Zhangtian’sB. Yu Dan’sC. Hanhan’s听第二段对话，完成18-20小题18.（）Whom is the woman buying the gift for?A.Her husbandB. Her sonC.Her daughter19.（）How much does the woman plan to spend on the gift?A. About $ 20B. About $10C. About $520.（）What will the woman buy at last?A.A basketballB.A notebookC.A recorder第五节听短文，根据短文内容回答问题。

浙江省温州市2024届英语九年级第一学期期末学业水平测试试题注意事项1．考生要认真填写考场号和座位序号。

2．试题所有答案必须填涂或书写在答题卡上，在试卷上作答无效。

第一部分必须用2B 铅笔作答；第二部分必须用黑色字迹的签字笔作答。

3．考试结束后，考生须将试卷和答题卡放在桌面上，待监考员收回。

Ⅰ. 单项选择1、—_________, then you can do well in the exam.—OK, I will try.A．Take it easy B．Don’t mention itC．Congratulations D．I’m all right2、(2017·内蒙古包头·30)—Why did you buy so many flowers?—________ my wife. I did something wrong yesterday. She is still angry with meA．Please B．To pleaseC．Pleasing D．Be pleased3、---Last night I said hello to you in the s treet, but you didn’t answer me.---I ________ out with my parents. Maybe it was too crowded to see you.A．am hanging B．was hanging C．will hang D．have hung4、Father's Day is coming. I want to buy a fine tie for my father, but is fit for him in the shops nearby.A．no one B．nothing C．none D．neither5、More TV programs, according to government officials, will be produced _____ people’s attention over food safety. A．to raise B．raising C．to rise D．rising6、— The food looked bad, but it ________ OK.— So we can’t judge a man by his appearance.A．is tasted B．tasted C．was tasted D．taste7、--Could you tell me ?--Next Monday.A．when you will go to Beijing B．when will you go to BeijingC．how will you go to Beijing8、Which of the following suffixes CANNOT be used to make a noun?A．-less B．-ness C．-tion D．-ment9、I often play _____ piano on weekends.A．a B．an C．the10、After winning the match, the players were so excited that they could speak.A．probably B．hardly C．really D．clearlyⅡ.完形填空11、完形填空A、B、C、D四个选项中,选出一个最佳答案。

浙江省温州市瑞安市集云实验学校2024届英语九年级第一学期期末检测模拟试题注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。

2．回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。

回答非选择题时，将答案写在答题卡上，写在本试卷上无效。

3．考试结束后，将本试卷和答题卡一并交回。

Ⅰ. 单项选择1、Most boys _______ blue to pink while most girls _______ wear pink than blue.A．would rather, prefer B．prefer, would ratherC．would rather, would rather D．prefer, prefer2、Jennifer exercises every day, so she is always full of_______.A．knowledge B．energy C．information3、---I don’t know _______. Can you help m e? ---I think you should calm down and read texts.A．how to do B．what to do it C．what to do D．when to do4、After the government carried out the two-child policy, she had a second child in her________.A．thirtieth B．thirties C．thirty D．the thirtieth5、Vivien worked very hard at all her lessons. __________, she became the top student in her class.A．In order to B．As a result C．As usual D．For example6、-- Will you go camping with us, Bob? -- I'd love to, but I ______ study for the test.A．may B．have to C．can D．could7、Jeff got to the airport at midnight, so he ____ a taxi to a hotel.A．calls B．will call C．called D．is calling8、My right foot was hurt in the boys’ 1500-metre race, and the pain ________until I couldn’t walk any longer. A．rose B．raised C．increased D．added9、I am too heavy. I don’t know how to ________ the problem.A．care about B．deal with C．decide on10、—Shall we meet at 10 o’clock tomorrow morning?—I won’t be free then .Let’s make it ______day.A．other B．the other C．another D．othersⅡ. 完形填空11、请认真阅读下列短文，从短文后各题所给的A、B、C、D 四个选项中，选出最佳选项，并在答题卡上将该项涂黑。

2022-2023学年浙江省温州市瑞安市集云实验学校、瑞祥学校等五校联考九年级上学期期末英语试题The letter was a great disappointment to me. It was from Holy Cross, the only school I really wanted to study in. I read the ________, “... We had a great applicant pool this year, ... We can’t offer spaces to everyone ... We’ll place you on our waiting list.”Realizing I was standing there ________ my father asked what it said anxiously. I told him that I didn’t get in, ________ I was on the waiting list.“Well, at least you still have a (n) ________” Dad said brightly.However, I told him I didn’t want to be on the waiting list. I wanted to be accepted. ________ on the list would get in. It was a way of saying “Thanks for trying”.“Then let’s go and tell them so.”“That sounds impossible, dad.” I said sadly. “________ won’t work.”Upset and annoyed, I left myself in my room. However, my ________ advice kept ringing in my head. Would the teacher give me a chance to express myself? What would happen if I tried? I________ it for a few days, finally coming to the decision that he was right. So the next day I seated myself across from Mr. Luis Soto, my admissions officer.“________ can I do for you, Mike?” he asked pleasantly.“Well, sir, I am here to tell you that I would love a chance to ________ this school. It is meaningful for me—it is my ________ dream school—and that I will make the best of my time here. I want to let you know that you ________ feel sorry about it if you give me a chance and reconsider my application. Although I’m not the best now. I will make every effort to become a top student and I believe you’ll be proud of me.” The words had poured out ________ I could stop them.Mr. Soto looked at me for a moment and smiled.“OK, that is the kind of thing we love to hear. Congratulations, you’re in.”It was so ________ and I asked, “I’m sorry?”“We hope people in the class who want to be here can get most from the education. I’m glad you came to talk openly to me. I’m happy to say you are in the Class of 2022.”I was too excited to say anything. Now, I still can’t remember how I left his office.The whole experience taught me a lesson: ________ is a good thing, and it will never die. If you truly want something, never, never give up.1.A．book B．letter C．magazine D．paper2.A．happily B．sadly C．excitedly D．proudly3.A．and B．or C．so D．but4.A．speech B．medal C．chance D．idea5.A．Everybody B．Somebody C．Nobody D．Anybody6.A．He B．It C．I D．We7.A．mother’s B．father’s C．teacher’s D．sister’s8.A．looked through B．gave up C．thought about D．paid for9.A．What B．How C．Why D．Who10.A．consider B．attend C．compare D．reply11.A．real B．whole C．only D．last12.A．won’t B．needn’t C．mustn’t D．couldn’t13.A．when B．until C．after D．before14.A．amazing B．obvious C．interesting D．relaxing15.A．Smile B．Hope C．Discussion D．Decision Welcome to Della Shopping Mall! It’s in the center of Wenzhou. Everything is half price during the holiday. Here is a list that shows what is on each floor of the shopping mall.is coming. If you want to buy your father a T-shirt, you can go to ________.A．Fourth Floor B．Third Floor C．Second Floor D．First Floor17. If you start shopping on F4 and finish on B1, what’s the best order to get the things?a. a trousers for kidsb. a toy carc. a rock CDd. a silk dressA．c→a→d→b B．c→b→a→d C．a→c→b→d D．a→b→d→c 18. According to the information of F4, which of the following is probably for ?A．B．C．D．Located in the middle of the Egyptian desert is one of the Seven Wonders of the Ancient World, the Great Pyramid of Giza. Apart from being an unbelievable achievement, it also serves as the final resting place for the great Pharaoh Khufu. It has been standing for centuries and attracted travelers from all over the world. A survey shows one third people from America, one quarter people from Europe and two sevenths people from Asia hope to take a vacation to the great wonder. Yet, one question which has puzzled all of us is how this amazing wonder was built.Many people do n’t believe that humans were technologically advanced enough in ancient Africa to build such a large and highly advanced building. This brought about many crazy theories that the pyramids were built by a race of giants or even aliens from outer space. Another popular theory suggested that the pyramids were built by an army of poor slaves.Modern technology and some recent findings have helped make it clear. An explorer accidentally found a tomb containing some written information about the builders. The records show that the workers were paid and well-fed, and came from poor families in Egypt. Further analysis made it clear that people considered it an honor to work on the pyramids, and the builders were treated with great respect. In fact, anyone who died while working on the pyramids was given the honor of being buried in the tomb near where the pharaohs lay.To avoid exhaustion, the builders worked for about three months and then were allowed to stay at home to have a rest. A recent researcher shows that fifteen thousand people could have completed the building in about ten years. An analysis of the bones of the builders shows their work was extremely hard, as most of them were hurt badly. But thanks to their unbelievable effort, the human has an amazing wonder that should stand the test of time.19. According to the survey, people from ________ most like to visit the Great Pyramid of Giza.A．Asia B．Africa C．America D．Europe20. Why did ancient Egyptians build the great wonder?A．To show how wise the people of that time. B．To attract people to visit the ancient country.C．To be the tomb for the Great Pharaoh Khufu. D．To remember the people who built the wonder.21. What is the main idea of Paragraph 3?A．Some new findings about the modem technology.B．New information about the builders of the Pyramids.C．How ancient people built the unbelievable wonder.D．The builders of the Pyramids had a better life than we thought.22. Which of the following is TRUE about the Great Pyramid of Giza?A．It lies in the center of Egyptian desert.B．About 1,500 people built it for 10 years.C．We still don’t know who built the great wonder.D．It was one of the Seven Wonders of ancient Egypt.Over 5 million shared bikes in China are using services offered by Beidou Navigation Satellite System. These shared bikes all use Beidou-based positioning chips.The chips have high qualities. They can deal with information accurately and quickly. They provide a better user experience and easier management for the local companies. Now, several new models of shared electric bikes with Beidou-based chips have also started to be produced and put into market. Besides positioning and navigation, the chips will help users and bike companies record user speed and battery condition of an electric bike. The possible crimes during the bike using will also be recorded.In fact, years ago, shared bike companies began to use positioning chips which worked well with both GPS and Beidou services. After the Beidou system became completely in use in the summer of 2020, shared bike companies started to install Beidou-based chips on more bikes in more areas. The latest chips which are popular with bike companies are smaller and have more advantages over the old types.Since 2000, a total of 59 Beidou satellites have been sent into space from the Xichang Satellite Launch Center in Sichuan Province. After the final satellite was sent in 2020, the system was completed and started providing global services. Beidou Satellite System is designed and developed by China. China has built the BeiDou Navigation Satellite System (BDS) into a top-class system with cutting-edge technologies, pioneering design and powerful functions, according to a white paper published on Friday by the State Council Information Office. It is one of four global navigation networks, along with the United States’ GPS, Russia’s GLONASS and the European Union’s Galileo.According to a research in 2022, by the end of 2021 the total value connected with satellite navigation and positioning services in China was 469 billion yuan, a 16.3 percent increase year on year. More than 500,000 Chinese people now work at around 14,000 China’s companies and organizations doing business connected with Beidou and other satellite navigation and positioning services.23. What does the writer want to tell us in Paragraph 2?A．The history of shared bikes. B．The qualities of shared bikes.C．The producers of Beidou-based chips. D．The advantages of Beidou-based chips.24. The underlined word “install” probably means ________.A．stand for B．turn off C．hand in D．put in25. How does the writer show the value of satellite navigation and positioning services?A．By explaining reasons. B．By listing some numbers.C．By comparing conditions. D．By introducing backgrounds.26. What’s the best title of the passage?A．Competitions Lead to the Better Products B．Users Know How to Improve theProductsC．Service Increases the Sales of the Products D．Technology Shapes the Future of the ProductsThe next time Wayde saw Manningtree, he said, “Could you let me have a little of that medicine? Just enough to see if it works. I’m sorry to trouble you.”“I have only a very small amount left. It will take me some time to find out how to make more.”“I will pay you anything you ask.” Wayde said.“Don’t give me anything now, but promise to pay $10,000 when you become Prime Minister.”Wayde laughed. “That’s impossible,” he said. “I shall never become Prime Minister.”“Who knows.” Manningtree said. “I cannot find out how to make more of this medicine,” he said, “but you can have the small bottle.”“That’s very kind of you.” Wayde said. “How can I ever thank you?”“Just take one small drop of the medicine once a month.” Manningtree said.Wayde took the bottle from his friend. Once a month, he took one small drop.The effect was immediate. Suddenly, he was not nervous anymore. He was not shy anymore, either. He was confident of his abilities.He started a business and within a year became a millionaire. He met and married one of the country’s most intelligent and beautiful women and had two lovely children with her. He ran for parliament and succeeded. Within two years, he was a minister. Two years later, he became Prime Minister.One day, he went to see Manningtree.“You have come to give me $10,000,” Manningtree said with a laugh. “Forget it. I don’t want it.”“You can certainly have it if you want it. I do not know how to express my thanks to you.” Wayde said. “But that is not the reason I have come to see you.”“Oh? And what is the reason?” Manningtree asked.“I have almost finished the medicine you gave me,” Wayde said. “But, have you found out how to make it?”Again Manningtree laughed. “Oh, yes,” he said. “I have known how to make it for a long time, I knew how to make it when I was at school.”“What do you mean?” Wayde asked.“My dear friend and Prime Minister,” Manningtree said, “the medicine I gave you was just a bottle of water.”“But the colour.”“Oh, I added some coloring.”“Then, the medicine did me no good.” Wayde said.“It didn’t need to. There was nothing wrong with you. All you needed was to have confidence in yourself.”27. The story is written ________.A．in the order of time B．in the order of spaceC．in the order of characters D．in the order of importance28. What happened to Wayde after taking the medicine?A．He was too confident to be successful. B．He became the most intelligent man.C．He got rich two years later as expected. D．He succeeded in his career in the end. 29. What’s Wayde’s main purpose to visit Manningtree years later?A．To say thanks to the doctor. B．To ask for more of the medicine.C．To pay for the bottle of medicine. D．To know how to make the medicine. 30. Why did Manningtree ask Wayde to promise to pay $10,000 for the medicine made up of water and coloring at first?_________________________________________________用方框中所给单词的适当形式填空，每词限用一次。

2019-2020学年九年级（上）期末数学试卷一、选择题1．抛物线y＝x2+2x+3与y轴的交点为（）A．（0，2）B．（2，0）C．（0，3）D．（3，0）2．如图，是一个纸折的小风车模型，将它绕着旋转中心旋转下列哪个度数后不能与原图形重合（）A．90°B．135°C．180°D．270°3．已知一个扇形的半径为3，弧长为2π，那么它所对的圆心角度数为（）A．240°B．120°C．90°D．60°4．若将函数y＝2x2的图象向右平行移动1个单位，再向上平移3个单位，得到的抛物线是（）A．y＝2（x+5）2﹣1 B．y＝2（x+5）2+1C．y＝2（x﹣1）2+3 D．y＝2（x+1）2﹣35．如图A是某公园的进口，B，C，D是三个不同的出口，小明从A处进入公园，那么从B，C，D三个出口中恰好在C出口出来的概率为（）A．B．C．D．6．已知点A（﹣2，a），B（2，b），C（4，c）是抛物线y＝x2﹣4x上的三点，则a，b，c 的大小关系为（）A．b＞c＞a B．b＞a＞c C．c＞a＞b D．a＞c＞b7．如图，下面图形及各个选项均是由边长为1的小方格组成的网格，三角形的顶点均在小方格的顶点上，下列四个选项中哪一个阴影部分的三角形与已知△ABC相似（）A．B．C．D．8．“双11”前，小明的妈妈花了120元钱在淘宝上购买了一批室内拖鞋，在“双11”大减价期间她发现回款的拖鞋单价每双降了5元，于是又花了100元钱购买了一批回款室内拖鞋，且比上次还多了2双．若设拖鞋原价每双为x元，则可以列出方程为（）A．B．C．D．9．反比例函数y＝，y＝图象如图所示，点A在y＝图象上，连接OA交y＝图象于点B，则AB：BO的比为（）A．1：2 B．2：3 C．4：5 D．4：910．如图矩形ABCD中，E是CD延长线上一点，连结BE交AD于点F，连结CF，已知AB＝1，BC＝2，若△ABF与△CEF的面积相等，则DE的长为（）A．1 B．C．D．二、填空题（本题有6小题，每小题5分，共30分）11．某灯具厂从一批LED灯泡中随机抽取100个进行质量检测，结果有99个灯泡质量合格，那么可以估计这批灯泡的合格率约为．12．已知两个相似三角形△ABC与△DEF的相似比为3．则△ABC与△DEF的面积之比为．13．一个小球从水平面开始竖直向上发射，小球的高度h（m）关于运动时间t（s）的函数表达式为h＝at2+bt，其图象如图所示．若小球在发射后第2s与第6s时的高度相等，则小球从发射到回到水平面共需时间（s）．14．某公路上有一隧道，顶部是圆弧形拱顶，圆心为O，隧道的水平宽AB为24m，AB离地面的高度AE＝10 m，拱顶最高处C离地面的高度CD为18m，在拱顶的M，N处安装照明灯，且M，N离地面的高度相等都等于17m，则MN＝m．15．已知 Rt△ACB中，∠ACB＝90°，AB﹣BC＝2，AC＝4，以三边分别向外作三个正方形，连接DE，FG，HI，得到六边形DEFGHI，则六边形DEFGHI的面积为．16．如图，以AD为直径作⊙O，点B为半圆弧的中点，连接AB，以如图所示的AD，AB为邻边作平行四边形ABCD，连结AC交⊙O于点E，连结BE并延长交CD于F．若AD＝6，则DF＝．三、解答题（本题有8小题，共80分）17．（1）计算：+（π﹣2019）0﹣（+1）2（2）解方程：18．如图所示平行四边形ABCD中，EF分别是边AD，BC上的点，且AE＝CF．（1）求证：BE＝DF；（2）连结AF，若AD＝DF，∠ADF＝40°，求∠AFB的度数．19．在甲口袋中有三个球分别标有数码1，﹣2，3；在乙口袋中也有三个球分别标有数码4，﹣5，6；已知口袋均不透明，六个球除标码不同外其他均相同，小明从甲口袋中任取一个球，并记下数码，小林从乙口袋中任取一个球，并记下数码．（1）用树状图或列表法表示所有可能的结果；（2）求所抽取的两个球数码的乘积为负数的概率．20．如图Rt△ABC与 Rt△DEF中，∠A＝∠D＝90°，∠B＝40°，∠E＝20°，用一条过顶点的线段将 Rt△ABC分割成两个三角形，再用另一条过顶点的线段将 Rt△DEF也分割成两个三角形；所分割成的四个三角形恰好是两对相似三角形．（要求：1．用三种不同的方法；2．在图中标出相应的锐角度数．）21．如图，Rt△ABC中，∠C＝90°，在BC上取一点D使AD＝BD，连结AD，作△ACD的外接圆⊙O，交AB于点E．（1）求证：AE＝BE；（2）若CD＝3，AB＝4，求AC的长．22．如图直角坐标系中，△ABO，O为坐标原点，A（0，3），B（6，3），二次函数y＝﹣x2+bx+c的图象经过点A，B，点P为抛物线上AB上方的一个点，连结PA，作PQ⊥AB垂足为H，交OB于点Q．（1）求b，c的值；（2）当∠APQ＝∠B时，求点P的坐标；（3）当△APH面积是四边形AOQH面积的2倍时，求点P的坐标．23．如图一个五边形的空地ABCDE，AB∥CD，BC∥DE，∠C＝90°，已知AB＝4（m），BC ＝10（m），CD＝14（m），DE＝5（m），准备在五边形中设计一个矩形的休闲亭MNPQ，剩下部分设计绿植．设计要求NP∥CD，PQ∥BC，矩形MNPQ到五边形ABCDE三边AB，BC，CD的距离相等，都等于x（m），延长QM交AE与H，MH＝1（m）．（1）五边形ABCDE的面积为（m2）；（2）设矩形MNPQ的面积为y（m2），求y关于x的函数关系式；（3）若矩形MNPQ休闲亭的造价为每平方米0.5万元，剩下部分绿植的造价为每平方米0.1万元，求总造价的最大值．24．如图 Rt△ABC中，∠ABC＝90°，P是斜边AC上一个动点，以BP为直径作⊙O交BC 于点D，与AC的另一个交点E，连接DE．（1）当时，①若＝130°，求∠C的度数；②求证AB＝AP；（2）当AB＝15，BC＝20时①是否存在点P，使得△BDE是等腰三角形，若存在，求出所有符合条件的CP的长；②以D为端点过P作射线DH，作点O关于DE的对称点Q恰好落在∠CPH内，则CP的取值范围为．（直接写出结果）参考答案一、选择题（本题有10小题，每小题4分，共40分每小题只有一个选项是正确的，不选、多选、错选，均不给分）1．抛物线y＝x2+2x+3与y轴的交点为（）A．（0，2）B．（2，0）C．（0，3）D．（3，0）解：把x＝0代入y＝x2+2x+3，求得y＝3，∴抛物线y＝x2+2x+3，与y轴的交点坐标为（0，3）．故选：C．2．如图，是一个纸折的小风车模型，将它绕着旋转中心旋转下列哪个度数后不能与原图形重合（）A．90°B．135°C．180°D．270°解：图案可以被平分成四部分，因而每部分被分成的圆心角是90°，并且圆具有旋转不变性，因而旋转90度的整数倍，就可以与自身重合，故选：B．3．已知一个扇形的半径为3，弧长为2π，那么它所对的圆心角度数为（）A．240°B．120°C．90°D．60°解：设扇形的圆心角为n°，∵扇形的半径为3，弧长为2π，∴2π＝，解得：n＝120，即圆心角是120°，故选：B．4．若将函数y＝2x2的图象向右平行移动1个单位，再向上平移3个单位，得到的抛物线是（）A．y＝2（x+5）2﹣1 B．y＝2（x+5）2+1C．y＝2（x﹣1）2+3 D．y＝2（x+1）2﹣3解：函数y＝2x2的图象向右平行移动1个单位，再向上平移3个单位，得到y＝2（x﹣1）2+3．故选：C．5．如图A是某公园的进口，B，C，D是三个不同的出口，小明从A处进入公园，那么从B，C，D三个出口中恰好在C出口出来的概率为（）A．B．C．D．解：∵小明从A处进入公园，那么从B，C，D三个出口出来共有3种等可能结果，其中从C出口出来是其中一种结果，∴恰好在C出口出来的概率为，故选：B．6．已知点A（﹣2，a），B（2，b），C（4，c）是抛物线y＝x2﹣4x上的三点，则a，b，c 的大小关系为（）A．b＞c＞a B．b＞a＞c C．c＞a＞b D．a＞c＞b解：∵抛物线y＝x2﹣4x＝（x﹣2）2﹣4，∴该抛物线的对称轴是直线x＝2，当x＞2时，y随x的增大而增大，当x＜2时，y随x 的增大而减小，∵点A（﹣2，a），B（2，b），C（4，c）是抛物线y＝x2﹣4x的三点，∵2﹣（﹣2）＝4，2﹣2＝0，4﹣2＝2，∴a＞c＞b，故选：D．7．如图，下面图形及各个选项均是由边长为1的小方格组成的网格，三角形的顶点均在小方格的顶点上，下列四个选项中哪一个阴影部分的三角形与已知△ABC相似（）A．B．C．D．解：根据题意得：AC＝＝，AB＝＝，BC＝1，∴BC：AB：AC＝1：：，A、三边之比为1：：，选项A符合题意；B、三边之比：：3，选项B不符合题意；C、三边之比为2：：，选项C不符合题意；D、三边之比为：：4，选项D不符合题意．故选：A．8．“双11”前，小明的妈妈花了120元钱在淘宝上购买了一批室内拖鞋，在“双11”大减价期间她发现回款的拖鞋单价每双降了5元，于是又花了100元钱购买了一批回款室内拖鞋，且比上次还多了2双．若设拖鞋原价每双为x元，则可以列出方程为（）A．B．C．D．解：设拖鞋原价每双为x元，则“双11”大减价期间该款拖鞋价格每双为（x﹣5）元，依题意，得：＝﹣2．故选：D．9．反比例函数y＝，y＝图象如图所示，点A在y＝图象上，连接OA交y＝图象于点B，则AB：BO的比为（）A．1：2 B．2：3 C．4：5 D．4：9解：作AM⊥x轴于M，BN⊥x轴于N，∵点A在y＝图象上，连接OA交y＝图象于点B，∴S△AOM＝×9＝，S△BOC＝＝2，∵AM∥BN，∴＝（）2＝，∴＝，∴＝，即＝，故选：A．10．如图矩形ABCD中，E是CD延长线上一点，连结BE交AD于点F，连结CF，已知AB＝1，BC＝2，若△ABF与△CEF的面积相等，则DE的长为（）A．1 B．C．D．解：设DE＝x．∵DF∥BC，∴△EFD∽△EBC，∴＝，∴＝，∴DF＝，AF＝2﹣＝，∵△ABF与△CEF的面积相等，∴•AF•AB＝•EC•DF，∴×1＝×x+1，∴解得x＝或（舍弃），故选：D．二、填空题（本题有6小题，每小题5分，共30分）11．某灯具厂从一批LED灯泡中随机抽取100个进行质量检测，结果有99个灯泡质量合格，那么可以估计这批灯泡的合格率约为99% ．解：这批LED灯泡的合格率＝99÷100×100%＝99%．故答案为：99%．12．已知两个相似三角形△ABC与△DEF的相似比为3．则△ABC与△DEF的面积之比为9 ．解：∵△ABC与△DEF的相似比为3，∴△ABC与△DEF的面积之比为9．故答案为9．13．一个小球从水平面开始竖直向上发射，小球的高度h（m）关于运动时间t（s）的函数表达式为h＝at2+bt，其图象如图所示．若小球在发射后第2s与第6s时的高度相等，则小球从发射到回到水平面共需时间8 （s）．解：由题意可知：小球在发射后第2s与第6s时的高度相等，则函数h＝at2+bt的对称轴t＝＝4，故小球从发射到回到水平面共需时间8秒，故答案是：8．14．某公路上有一隧道，顶部是圆弧形拱顶，圆心为O，隧道的水平宽AB为24m，AB离地面的高度AE＝10 m，拱顶最高处C离地面的高度CD为18m，在拱顶的M，N处安装照明灯，且M，N离地面的高度相等都等于17m，则MN＝10 m．解：设CD于AB交于G，与MN交于H，∵CD＝18m，AE＝10m，AB＝24m，HD＝17m，∴CG＝8m，AG＝12m，CH＝1m，设圆拱的半径为r，在Rt△AOG中，OA2＝OG2+AG2，∴r2＝（r﹣8）+122，解得r＝13，∴OC＝13m，∴OH＝13﹣1＝12m，在Rt△MOH中，OM2＝OH2+MH2，∴132＝122+MH2，解得MH2＝25，∴MH＝5m，∴MN＝10m，故答案为10．15．已知 Rt△ACB中，∠ACB＝90°，AB﹣BC＝2，AC＝4，以三边分别向外作三个正方形，连接DE，FG，HI，得到六边形DEFGHI，则六边形DEFGHI的面积为74 ．解：如图，作DJ⊥EA交EA的延长线于J．∵∠DAC＝∠JAB＝90°，∴∠DAJ＝∠CAB，∵AD＝AB，∠J＝∠ACB＝90，∴△ADJ≌△ABC（AAS），∴DJ＝BC，∵S△ABD＝•AE•DJ，S△ABC＝•AC•BC，AE＝AB，∴S△AED＝S△ABC，同理可证S△ABC＝S△BFG，∵AB﹣BC＝2，AC＝4，∴可以假设BC＝x，则AB＝x+2，∴（x+2）2＝x2+42解得x＝3，∴AC＝4，BC＝3，AB＝5，∴六边形DEFGHI的面积＝4××3×4+4×4+3×3+5×5＝74，故答案为74．16．如图，以AD为直径作⊙O，点B为半圆弧的中点，连接AB，以如图所示的AD，AB 为邻边作平行四边形ABCD，连结AC交⊙O于点E，连结BE并延长交CD于F．若AD＝6，则DF＝．解：如图，连接BD交AC于O，连接DE，作FM⊥AC于M，FN⊥DE于N．∵＝，∴AB＝BD，∵AD是直径，∴∠ABD＝∠AED＝90°，∴∠BAD＝∠BDA＝∠AEB＝45°，∵∠AEB＝∠CEF＝45°，∠CED＝90°，∴∠FED＝∠FEC＝45°，∵FM⊥EC．FN⊥ED，∴FM＝FN，∴＝＝＝，∵四边形ABCD是平行四边形，∴OB＝OD，AB∥CD，∴∠BAO＝∠DCE，∴tan∠DCE＝tan∠ABO＝＝＝，∴DF：CF＝DE+CE＝1：2，∴AD＝6，△ABD是等腰直角三角形，∴AB＝BD＝CD＝3，∴DF＝CD＝故答案为．三、解答题（本题有8小题，共80分）17．（1）计算：+（π﹣2019）0﹣（+1）2（2）解方程：解：（1）原式＝2+1﹣（3+2+1）＝2+1﹣4﹣2＝﹣3；（2）去分母得3（x﹣1）＝2（2x+3），去括号得3x﹣3＝4x+6，移项得3x﹣4x＝9，合并的得﹣x＝9，系数化为1得x＝﹣9．18．如图所示平行四边形ABCD中，EF分别是边AD，BC上的点，且AE＝CF．（1）求证：BE＝DF；（2）连结AF，若AD＝DF，∠ADF＝40°，求∠AFB的度数．【解答】（1）证明：在平行四边形ABCD中，AD∥BC，AD＝BC，∵AE＝CF，∴DE∥BF，DE＝BF∴四边形BEDF是平行四边形∴BE＝DF．（2）∵AD＝DF，∠ADF＝40°∴∠DAF＝∠AFD＝70°∵AD∥BC∴∠AFB＝∠FAD＝70°．19．在甲口袋中有三个球分别标有数码1，﹣2，3；在乙口袋中也有三个球分别标有数码4，﹣5，6；已知口袋均不透明，六个球除标码不同外其他均相同，小明从甲口袋中任取一个球，并记下数码，小林从乙口袋中任取一个球，并记下数码．（1）用树状图或列表法表示所有可能的结果；（2）求所抽取的两个球数码的乘积为负数的概率．解：（1）列表如下：（2）由表可知，共有9种等可能结果，其中所抽取的两个球数码的乘积为负数的由4种结果，∴所抽取的两个球数码的乘积为负数的概率为．20．如图Rt△ABC与 Rt△DEF中，∠A＝∠D＝90°，∠B＝40°，∠E＝20°，用一条过顶点的线段将 Rt△ABC分割成两个三角形，再用另一条过顶点的线段将 Rt△DEF也分割成两个三角形；所分割成的四个三角形恰好是两对相似三角形．（要求：1．用三种不同的方法；2．在图中标出相应的锐角度数．）解：方法一：方法二：方法三：方法四：方法五：21．如图，Rt△ABC中，∠C＝90°，在BC上取一点D使AD＝BD，连结AD，作△ACD的外接圆⊙O，交AB于点E．（1）求证：AE＝BE；（2）若CD＝3，AB＝4，求AC的长．解：（1）证明：连结DE，∵∠C＝90°，∴AD为直径，∴DE⊥AB，∵AD＝BD，∴AE＝BE；（2）设BD＝x，∵∠B＝∠B，∠C＝∠DEB＝90°∴△ABC～△DBE，∴，∴，∴x＝5．∴AD＝BD＝5，∴AC＝＝4．22．如图直角坐标系中，△ABO，O为坐标原点，A（0，3），B（6，3），二次函数y＝﹣x2+bx+c的图象经过点A，B，点P为抛物线上AB上方的一个点，连结PA，作PQ⊥AB垂足为H，交OB于点Q．（1）求b，c的值；（2）当∠APQ＝∠B时，求点P的坐标；（3）当△APH面积是四边形AOQH面积的2倍时，求点P的坐标．解：（1）把A（0，3），B（6，3）代入y＝﹣x2+bx+c并解得：；（2）设P（m，﹣m2+6m+3）∵∠P＝∠B，∠AHP＝∠OAB＝90°，∴△ABO～△HPA，∴，∴，解得m＝4．∴P（4，11）（3）当△APH的面积是四边形AOQH的面积的2倍时，则2（AO+HQ）＝PH∴，得：m1＝4，m2＝3，∴P（4，11）或P（3，12）23．如图一个五边形的空地ABCDE，AB∥CD，BC∥DE，∠C＝90°，已知AB＝4（m），BC ＝10（m），CD＝14（m），DE＝5（m），准备在五边形中设计一个矩形的休闲亭MNPQ，剩下部分设计绿植．设计要求NP∥CD，PQ∥BC，矩形MNPQ到五边形ABCDE三边AB，BC，CD的距离相等，都等于x（m），延长QM交AE与H，MH＝1（m）．（1）五边形ABCDE的面积为115 （m2）；（2）设矩形MNPQ的面积为y（m2），求y关于x的函数关系式；（3）若矩形MNPQ休闲亭的造价为每平方米0.5万元，剩下部分绿植的造价为每平方米0.1万元，求总造价的最大值．解：（1）五边形ABCDE的面积为＝5×14+（4+14）（10﹣5）＝70+45＝115（m2）；故答案为：115；（2）由题意可以得：PQ＝（10﹣2x），MQ＝（3+x），∴y＝（10﹣2x）（x+3）＝﹣2x2+4x+30，（3）设总造价为w（万元），由题意得，w＝115×0.1+0.4（﹣2x2+4x+30）w＝﹣0.8x2+1.6x+23.5，当x＝1时，w最大值＝24.3，答：总造价的最大值为24.3万元．24．如图 Rt△ABC中，∠ABC＝90°，P是斜边AC上一个动点，以BP为直径作⊙O交BC 于点D，与AC的另一个交点E，连接DE．（1）当时，①若＝130°，求∠C的度数；②求证AB＝AP；（2）当AB＝15，BC＝20时①是否存在点P，使得△BDE是等腰三角形，若存在，求出所有符合条件的CP的长；②以D为端点过P作射线DH，作点O关于DE的对称点Q恰好落在∠CPH内，则CP的取值范围为7＜CP＜12.5 ．（直接写出结果）【解答】（1）①解：连接BE，如图1所示：∵BP是直径，∴∠BEC＝90°，∵＝130°，∴＝50°，∵＝，∴＝100°，∴∠CBE＝50°，∴∠C＝40°；②证明：∵＝，∴∠CBP＝∠EBP，∵∠ABE+∠A＝90°，∠C+∠A＝90°，∴∠C＝∠ABE，∵∠APB＝∠CBP+∠C，∠ABP＝∠EBP+∠ABE，∴∠APB＝∠ABP，∴AP＝AB；（2）解：①由AB＝15，BC＝20，由勾股定理得：AC＝＝＝25，∵AB•BC＝AC•BE，即×15×20＝×25×BE∴BE＝12，连接DP，如图1﹣1所示：∵BP是直径，∴∠PDB＝90°，∵∠ABC＝90°，∴PD∥AB，∴△DCP∽△BCA，∴＝，∴CP＝＝＝CD，△BDE是等腰三角形，分三种情况：当BD＝BE时，BD＝BE＝12，∴CD＝BC﹣BD＝20﹣12＝8，∴CP＝CD＝×8＝10；当BD＝ED时，可知点D是Rt△CBE斜边的中线，∴CD＝BC＝10，∴CP＝CD＝×10＝；当DE＝BE时，作EH⊥BC，则H是BD中点，EH∥AB，如图1﹣2所示：AE＝＝＝9，∴CE＝AC﹣AE＝25﹣9＝16，CH＝BC﹣BH＝20﹣BH，∵EH∥AB，∴＝，即＝，解得：BH＝，∴BD＝2BH＝，∴CD＝BC﹣BD＝20﹣＝，∴CP＝CD＝×＝7；综上所述，△BDE是等腰三角形，符合条件的CP的长为10或或7；②当点Q落在∠CPH的边PH上时，CP最小，如图2所示：连接OD、OQ、OE、QE、BE，由对称的性质得：DE垂直平分OQ，∴OD＝QD，OE＝QE，∵OD＝OE，∴OD＝OE＝QD＝QE，∴四边形ODQE是菱形，∴PQ∥OE，∵PB为直径，∴∠PDB＝90°，∴PD⊥BC，∵∠ABC＝90°，∴AB⊥BC，∴PD∥AB，∴DE∥AB，∵OB＝OP，∴OE为△ABP中位线，∴PE＝AE＝9，∴PC＝AC﹣PE﹣AE＝25﹣9﹣9＝7；当点Q落在∠CPH的边PC上时，CP最大，如图3所示：连接OD、OQ、OE、QD，同理得：四边形ODQE是菱形，∴OD∥QE，连接DF，∵∠DBC＝90°，∴DF是直径，∴D、O、F三点共线，∴DF∥AQ，∴∠OFB＝∠A，∵OB＝OF，∴∠OFB＝∠OBF＝∠A，∴PA＝PB，∵∠OBF+∠CBP＝∠A+∠C＝90°，∴∠CBP＝∠C，∴PB＝PC＝PA，∴PC＝AC＝12.5，∴7＜CP＜12.5，故答案为：7＜CP＜12.5．。