福建省厦门外国语学校海沧附属学校2015-2016学年八年级英语上学期期中试题

福建省厦门外国语海沧附属学校2020学年八年级英语下学期期中试题（无答案）人教新目标版（试卷满分：120分；考试时间：100分钟）考生须知：请考生将答案书写在答题卷上。

（一）听力测试（共20分）Ⅰ.听录音，选择符合内容情景的图片。

听两遍。

（每小题1分）Ⅱ.听简短对话，然后挑选最佳答案回答所听到的问题。

听两遍。

（每小题1分）5.A. Hungry. B. Nervous. C. Happy.6.A. Because her cat had an accident. B. Because her cat is ill. C. Because she can’t find her cat.7. A. To swim. B. To skate. C. To draw.8. A. Go swimming. B. Go hiking. C. Go shopping.9. A. To surf the Internet. B. To make a call. C. To send a message.10. A. The book. B. The Internet. C. The dictionary Ⅲ. 听一篇对话和一篇短文，然后选择正确答案作答。

听两遍（每小题1分）。

TEXT A11. What does Betty’s uncle teach?A. Chemistry.B. Math.C. History.12. Where do Betty’s grandparents live?A. In England.B. In America.C. In Australia.13. When does Betty plan to visit her aunt?A. In September.B. In October.C. In November.TEXT B14. What was wrong with Jane?A. She had a fever.B. She had a headache.C. She had a toothache.15. Who looked after Jane?A. Her mother.B. Her teacher.C. Her classmate.16. What did Jane do before sleeping?A. Took some medicine.B. Listened to music.C. Drank some hot water. IV. 听一篇短文，用恰当的单词填空，每空一词。

厦门外国语学校2010～2011学年第一学期初二年级英语(科)阶段考试卷(试卷满分:150分 考试时间:120分钟)班级__________________ 姓名___________________ 座号__________________第一部分 选择题（一）听力测试（每小题1分，共30分）I. 听句子，选出你所听到的信息，每个句子读一遍。

1. A. sun B. earth C. moon D. mars2. A. a park B. a zoo C. a building D. a factory3. A. mother B. leave C. Hong Kong D. tomorrow4. A. sometimes B. bought C. always D. borrow5. A. speaking B.talking C. sleeping D. seekingII. 听句子，选择适当的答语，每个句子读一遍。

6. A. I think so. B. Sorry, I’m not. C. Yes, that’s ok. D. No, therear en’t7. A. Don’t ask me. B. Look, it’s sunny. C. Maybe it’ll be windy. D. Wait and see.8. A. Thank you. B. The same to you. C. No problem.D. Here we go.9. A. I will post it. B. I will buy one. C. I will stay at home. D. I will borrow some.10. A. Yes, they are. B. No, he wasn’t. C. Thanks to you.D. Yes, they were.III. 听对话，选择正确答案。

2019-2020学年八上英语期中模拟试卷含答案一、听力题(共15分)A) 听下面10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，每段对话读两遍。

( )1. What is the man going to do today?( )2. How is the weather this morning?( )3. How does the man go to work every day?( )4．What's Max like?( )5. Which country won the tennis game?（）6. What does the man want to buy?A. applesB. bananasC. oranges（）7. Which club is the boy in?A. He is in the Dancing Club.B. He is in the Reading Club.C. He is in the Fishing Club.（）8. How does the man go to work?A. By underground.B. By bus.C. By car.（）9. How many baby tigers are there in the zoo?A. Two.B. Only one.C. Three.（）10. Where are they talking?A. In the cinema.B. At the bus station.C. In a park.B）听下面短文，回答第11-15 小题。

读两遍。

( ) 11. How old is Peter?A. 16 years oldB. 13 years oldC. 30 years old( ) 12. What was he interested in doing?A. Making more money.B. Finding a good job.C. Reading books.( ) 13. Why did he want to look for a job?A. Because he wanted to buy some books.B. Because he wanted to make a lot of money.C. Because he didn’t want to go to school.( ) 14. What is Peter’s first job?A.To buy newspapers.B. To send newspapers.C. To sell newspapers. ( ) 15. Which of the following is true?A. Peter’s family was rich.B. Peter could get only 5 dollars n ow.C. Peter could get only 3 dollars now.二、单项选择（15分）（）1. Shanghai is bigger than_____in Jiangsu and bigger than______in China.A. any city, an y cityB. any city, any other cityC. any other city, the other citiesD. any other city, any city（）2. The children enjoyed_______ very much last night.A. theyB. themC. themselvesD. theirs（）3. Jim, ___ read books while you are walking in the street. It’s very dangerous.A. don’tB. doesn’tC.won’tD. can’t（）4. The weather in Beijing is different from______ in Suzhou.A. itB. thatC. oneD. those（）5. This maths problem is_______ easier but______ interesting than that one.A. much; moreB. more; lessC. more; moreD. much; less（）6. What______ honest boy! And he is______ best student of all.A. a; aB. an; theC. a; theD. the; the（）7. ----______is your new teacher like? -----Friendly and polite.A.WhatB.HowC.WhyD.Where（）8. My home is near the school. So I can walk to school ______ by bus.A. instead of goingB. instead goC. instead of goD. instead going（）9. During lunchtime, we always have fun_____ each other.A. to chat withB. chatting withC. to chatD. chat with（）10. They want to do it better with_______ people and_______ moneyA. fewer; fewerB. less; lessC. fewer; lessD. less; fewer（）11.When something______ me, I always feel_______．A. worry; worriedB. worries; worryC. worries; worriedD. worried; worries（）12. Daniel had one month_____ last summer and he took a course______ DIY.A. off; inB. for; aboutC. in, inD. away; about( ) 13. - Don't forget to bring your homework here tomorrow. -_______.A. Yes. I doB. No, I don'tC. Yes, I won'tD. No, I won't( ) 14. There______ a sport meeting in our school this weekend, isn't there?A. will beB. isC. will haveD. is going to be( ) 15.- ______ exercising, and you'll be healthier.A. eepB. To keepC. eepingD. ept三、完形填空（10分）Do you hope to do a lot of homework every evening? Are you interested in your English classes? __1_do you want to teach you? Maybe you have lots of questions to think about 2 school starts.W ell, I want to give you some good advice on these problems. First, don't worry about all the questions you have. Put yourself into learning, and you can find _3_ you are interested in. Do it actively.Second, try your best to finish your homework _4__ . Don't spend a lot of time on it. Do more reading or writing in English. Think about the problems you have and work out them at once. Don't 5 Up late, or you can't study well the next day.Third, invent（发明）something instead of copying or repeating. If you can 6 the words in your way, you can tell your 7 you don't like the way of copying them again and again. Be sure that you must 8 the test.I think your teachers will agree with you. And they can give you some 9 work to do.School is really a good place for us to learn. 10 in your teachers and yourself. You are the best one and you can do everything well.1. A. What B. Which C. Who D. How2. A. after B. before C. when D. if3. A. everything B. anything C. nothing D. something4. A. quickly B. correctly C. honestly D. carefully5. A. get B. wake C. stay D. pull6. A. remember B. read C. put D. write7. A. parents B. classmates C. teachers D. friends8. A. take B. finish C. have D. pass9. A. more B. interesting C. exciting D. busy10, A. Join B. Trust C. Fit D. Believe四、阅读理解（20分）AA farmer was put in prison(监狱). One day, he got a letter from his wife.“I am worried about ou r farm,” she wrote. “It’s time to plant potatoes, but I can’t do all the digging(挖) by myself.”The farmer thought over and then had an idea. He wrote to his wife, “Don’t d ig the fields. This is where my gold(金子) is. Don’t plant potatoes until I come home.”A few days later, the farmer got another letter from his wife. It said, “Two days ago, about ten prison guards(监狱看守) came to our fields. It looked as if they were looking for something. They have dug our field.”The farmer wrote to his wife at once. “Now you can plant our potatoes,” he wrote.( ) 1.The farmer was put in prison ________.A. because he had done something wrongB. because he had a lot of gold in the fieldsC. The writer didn’t say anything about why the farmer was put in prisonD. For nothing( ) 2. The farmer’s wife was much worried about _____ .A. her husbandB. their farmC. planting potatoesD. herself( ) 3. The farmer told his wife __ first.A. not to dig the fieldsB. to dig the fieldsC. to ask the prison guards for helpD. to find the gold in the fields( ) 4. Why did the prison guards dig the farmer’s fields? ________.A. They wanted to help the farmerB. Their leader ordered them to do soC. The farmer asked them to do soD. They wanted to find out the gold( ) 5. Why did the farmer ask his wife to plant potatoes at once? Because _____.A. their fields had been dugB. the gold was found outC. the prison guards asked him to do soD. the prison guards were digging the fieldsBA 50-year-old American officer came back to his school. The teacher asked him to give a talk to the small boys and girls there. The talk was about the love of their great country. All the little ones were sitting in a large meeting-room. The old officer went up and began speaking. He said , " Boys and girls . I studied in this school forty years ago. When I was your age, we were not as happy as you are today. Think about it and answer me, why are you so happy now?"No sound came from the children. The old man waited for a long time. Then a short boy in the front put up his small dirty hand. "Good boy! Please answer me, dear." said the officer.With a big smile on his face, the boy stood up and said, "If you speak long enough, we won't have Maths and biology lessons this morning."( ) 6. The old man came back to school_______.A. to listen to a talkB. to have lessonsC. to give a talkD. to see his children( )7. The officer studied in this school when he was_______.A. fiftyB. tenC. twentyD. thirty( )8. The children were thought to be_______ before.A. as good asB. as well asC. as happy asD. much happier than( )9. The short boy in the front_______.A. didn't understand the question but answered itB. told the truthC. wanted to make others laughD. wanted to make the officer angry( ) 10. After reading the last part of the story, we know the_______.A. the short boy liked the talk very muchB. all the children liked the talkC. the short boy didn't like to study his lessonsD. some of the children liked to listen to a funny story五、词汇检测 (10分)1. Luckily, they didn't hurt （他们）when climbing a hill.2.She has the_______(最少的) rice of the three.3. This morning, Mike came to school much （早）than usual.4. The doctor _______(建议) me to go to bed early.5.Thank you for ____ (提供）so much wonderful advice to us.6. When something ____(担心)you, you can always talk to me.7. I want to know more about the western_______8. John's favourite subject is_______9. - What is the of the Golden Gate Bridge?- About one hundred metres tall.10. Please help _______ to some fish, Tom. Don't be so shy.六、用所给的词填空（5分）1. We always have fun_______ (chat) with each other.2. You'd better give me a few_______ (many) minutes.3. His teacher makes him_______ (clean) the classroom every day.4. Do you have any problems_______ (fly) kites?5. This bad news makes all of us_______ (happily).七、句型转换（5分）1．Our playground is about 50 metres wide．（对划线部分提问）。

厦门外国语学校海沧附属学校2020学年八上第一次月考（试卷满分：150分；考试时间：120分钟）听录音，选择符合内容情景的图片。

听两遍。

（每小题1.5分）1.A B C23.AB C4Ⅱ.听简短对话，然后挑选最佳答案回答所听到的问题。

听两遍。

（每小题1.5分共9分）5.A. In Shanghai B. In Beijing C. In Chengdu6.A.She stayed at home B. She went to summer camp. C. He went to the farm.7. A.A sweater. B.A hat . C.A cup.8. A.Always B.Hardly ever. C.Never. 9. A.She listens to music. B.She eats vegetables. C.She exercises. A BC A BC10. A.Peter. B.Tina. C.Bill.Ⅲ. 听一篇对话和一篇短文，然后选择正确答案作答。

听两遍（每小题1.5分共9分）。

TEXT A11.The speakers will go__________ tomorrow.A.swimming.B.shopping.C.skating.12.The speakers will take_______ with them.A.sunglasses.B.umbrellas.C.food and water.13.The speakers will meet________A.outside the school gateB.at the NO.3 bus stop .C.at Nancy’s home. TEXT B14.Li Ming went to Tiantan Park with his_______.A. friendsB.parentsC. brother and sister15. They ______ in the park.A.flew kitesB.ride a bikeC. took pictures16.They ________ in the eveing.A.talked about the life in BeijingB. saw a film about the life in BeijingC. enjoyed the life in BeijingInformation CardMark went to visit his friends in New York last 17_________.On Saturday morning they went to a farm.After the meal ,Mark and his friends sang and 18__________ late into thenight.When they got back to New York, it was about19________o’clock in afternoon.Mark stayed in New York for 20_______ day(s) but he had a great time there.**********************************************************************************（二）基础知识与运用（共30分）Ⅴ.选择填空：从A、B、C中，选出一个最佳答案完成句子。

福建省厦门外国语学校海沧附属学校2015-2016学年八年级数学上学期第一次段考试题一、选择题（本大题有10小题，每小题4分，共40分.每小题都有四个选项，其中有且只有一个选项正确）1．下列长度的三条线段中能组成一个三角形的是（）A．1、2、3 B．2、4、8 C．10、8、9 D．9、3、52．下列图形中，是轴对称图形的是（）A．B．C．D．3．下列说法正确的是（）A．形状相同的两个三角形全等 B．面积相等的两个三角形全等C．完全重合的两个三角形全等 D．所有的等边三角形全等4．一个多边形的内角和与外角和相等，则这个多边形是（）A．四边形B．五边形C．六边形D．八边形5．如图，已知△ABE≌△ACD，下列不正确的等式是（）A．AB=AC B．∠BAE=∠CAD C．BE=DC D．AD=DE6．如图，把一个30°的三角板和一个45°的三角板拼成如图所示的图案，则∠AEB=（）A．100°B．55° C．45° D．75°7．已知△ABC的三个内角∠A，∠B，∠C满足∠A=∠B=∠C，则△ABC是（）A．直角三角形B．锐角三角形C．等边三角形D．钝角三角形8．如图，△ABC中，若AB=AC，AD是∠BAC的平分线，则∠ADB=（）A．80° B．90° C．100°D．110°9．已知：a、b、c是三角形ABC的三边，化简：|a﹣b﹣c|+|a+b﹣c|结果是（）A．2a﹣2c B．2b C．2a D．2b﹣2a10．点P在∠AOB的平分线上，点P到OA边的距离等于5，点Q是OB边上的任意一点，下列选项正确的是（）A．PQ≥5B．PQ＞5 C．PQ＜5 D．PQ≤5二、填空题（本大题有6小题，每小题4分，共24分）11．起重机的吊臂都是用铁条焊成三角形，这是利用了．12．黑体汉字中的“中”，“田”，“日”等都是轴对称图形，请至少再写出两个具有这种特征的汉字：．13．在Rt△ABC中，∠C=90°，∠A=53°，∠B= ．14．如图，已知∠D=∠C，还需添加一个条件是，使得△ABD≌△BAC，依据是．15．如图，在△ABC中，∠C=90°，AD是∠BAC的角平分线，若AB=10，BC=8，BD=5，则△ABD的面积为．16．如图，已知S△ABC=8cm2，AD是中线，DE是△ADC的中线，则S△ADE= ．三、解答题（本大题有11小题，共86分）17．如图（1）作∠ACB的角平分线（尺规作图）；（2）在△ABC中，画出BC边的高．18．已知∠ACD=150°，∠B=120°，求∠A．19．一个多边形的内角和是它外角和的2倍，求这个多边形的边数．20．如图，点D在AB上，点E在AC上，AB=AC，AD=AE．求证：∠B=∠C．21．如图，AC与BD交于点E，AB=DC，∠ABC=∠DCB．若∠DBC=35°，求∠ACB的度数．22．已知如图，点B、F、C、E、在一条直线上，AB⊥AC，DE⊥DF，AC=DF，BF=CE．求证：AB∥DE．23．如图，点B在AC上，DC=CE，∠DAC=∠CBE=∠DCE=90°，AD=2，AB=1．求BE的长．24．如图，在△ABC中，点D在AB上，DE⊥AB于D，交AC于E，BC=BD，DE=CE．（1）求证：∠C=90°；（2）若点D是AB的中点，求∠A．25．如图，已知AC平分∠BAD，CE⊥AB于E，CF⊥AD于F，且BC=CD．（1）求证：△BCE=△DCF；（2）若AB=21，AD=9，求AE的长．26．如图，在四边形ABCD中，∠D=60°，∠B是钝角，对角线AC平分∠BAD．（1）若BC∥AD，∠ACD=85°，求∠B；（2）若BC=CD，求∠B．27．在四边形ABCD中，AD∥BC，点E在直线AB上，且DE=CE．（1）如图（1），若∠DEC=∠A=90°，BC=3，AD=2，求AB的长；（2）如图（2），若DE交BC于点F，∠DFC=∠AEC，猜想AB、AD、BC之间具有怎样的数量关系？并加以证明．2015-2016学年福建省厦门外国语学校海沧附属学校八年级（上）第一次段考数学试卷参考答案与试题解析一、选择题（本大题有10小题，每小题4分，共40分.每小题都有四个选项，其中有且只有一个选项正确）1．下列长度的三条线段中能组成一个三角形的是（）A．1、2、3 B．2、4、8 C．10、8、9 D．9、3、5【考点】三角形三边关系．【分析】根据三角形的三边关系“任意两边之和大于第三边，任意两边之差小于第三边”，进行分析．【解答】解：根据三角形任意两边的和大于第三边，得A中，1+2=3，不能组成三角形；B中，2+4＜8，不能组成三角形；C中，8+9＞10，能够组成三角形；D中，5+3=8＜9，不能组成三角形．故选C．2．下列图形中，是轴对称图形的是（）A．B．C．D．【考点】中心对称图形．【分析】根据轴对称图形的概念对个图形分析判断即可得解．【解答】解：A、是轴对称图形，B、不是轴对称图形，C、不是轴对称图形，D、不是轴对称图形，故选：A．3．下列说法正确的是（）A．形状相同的两个三角形全等 B．面积相等的两个三角形全等C．完全重合的两个三角形全等 D．所有的等边三角形全等【考点】全等图形．【分析】根据全等形的概念：能够完全重合的两个图形叫做全等形，以及全等三角形的判定定理可得答案．【解答】解：A、形状相同的两个三角形全等，说法错误，应该是形状相同且大小也相同的两个三角形全等；B、面积相等的两个三角形全等，说法错误；C、完全重合的两个三角形全等，说法正确；D、所有的等边三角形全等，说法错误；故选：C．4．一个多边形的内角和与外角和相等，则这个多边形是（）A．四边形B．五边形C．六边形D．八边形【考点】多边形内角与外角．【分析】首先设此多边形是n边形，由多边形的外角和为360°，即可得方程180（n﹣2）=360，解此方程即可求得答案．【解答】解：设此多边形是n边形，∵多边形的外角和为360°，∴180（n﹣2）=360，解得：n=4．∴这个多边形是四边形．故选A．5．如图，已知△ABE≌△ACD，下列不正确的等式是（）A．AB=AC B．∠BAE=∠CAD C．BE=DC D．AD=DE【考点】全等三角形的性质．【分析】根据全等三角形的性质对各个选项进行判断即可．【解答】解：∵△ABE≌△ACD，∴AB=AC，A不合题意；∴∠BAD=∠CAE，∴∠BAE=∠CAD，B不合题意；∴BD=EC，∴BE=CD，C不合题意；∴AD=AE，∴AD=DE不正确，D符合题意；故选：D．6．如图，把一个30°的三角板和一个45°的三角板拼成如图所示的图案，则∠AEB=（）A．100°B．55° C．45° D．75°【考点】三角形的外角性质．【分析】由∠ACB=30°，∠BCD=45°，得到∠DCE=15°，根据三角形的外角的性质即可得到结论．【解答】解：∵∠ACB=30°，∠BCD=45°，∴∠DCE=15°，∴∠AEB=∠EBC+∠ECB=75°，故选D．7．已知△ABC的三个内角∠A，∠B，∠C满足∠A=∠B=∠C，则△ABC是（）A．直角三角形B．锐角三角形C．等边三角形D．钝角三角形【考点】三角形内角和定理．【分析】根据三角形的内角和即可得到结论．【解答】解：∵∠A+∠B+∠C=180°，∴∠A=∠B=∠C=60°，∴△ABC是等边三角形，故选C．8．如图，△ABC中，若AB=AC，AD是∠BAC的平分线，则∠ADB=（）A．80° B．90° C．100°D．110°【考点】等腰三角形的性质．【分析】根据等腰三角形的三线合一的性质解答即可．【解答】解：∵△ABC中，若AB=AC，AD是∠BAC的平分线，∴AD⊥BC，∴∠ADB=90°，故选B．9．已知：a、b、c是三角形ABC的三边，化简：|a﹣b﹣c|+|a+b﹣c|结果是（）A．2a﹣2c B．2b C．2a D．2b﹣2a【考点】三角形三边关系；绝对值；整式的加减．【分析】根据三角形三边满足的条件是，两边和大于第三边，两边的差小于第三边，根据此来确定绝对值内的式子的正负，从而化简计算即可．【解答】解：∵a、b、c是三角形的三边长，∴a+b﹣c＞0，a﹣b﹣c＜0，∴原式=﹣（a﹣b﹣c）+a+b﹣c=﹣a+b+c+a+b﹣c=2b，故选B．10．点P在∠AOB的平分线上，点P到OA边的距离等于5，点Q是OB边上的任意一点，下列选项正确的是（）A．PQ≥5B．PQ＞5 C．PQ＜5 D．PQ≤5【考点】角平分线的性质；垂线段最短．【分析】根据角平分线上的点到角的两边距离相等可得点P到OB的距离为5，再根据垂线段最短解答．【解答】解：∵点P在∠AOB的平分线上，点P到OA边的距离等于5，∴点P到OB的距离为5，∵点Q是OB边上的任意一点，∴PQ≥5．故选A．二、填空题（本大题有6小题，每小题4分，共24分）11．起重机的吊臂都是用铁条焊成三角形，这是利用了稳定性．【考点】三角形的稳定性．【分析】根据三角形的稳定性进行解答．【解答】解：起重机的臂膀中都有三角形结构，这是利用了三角形的稳定性．故答案为：稳定性．12．黑体汉字中的“中”，“田”，“日”等都是轴对称图形，请至少再写出两个具有这种特征的汉字：“木”，“古”．【考点】轴对称图形．【分析】根据轴对称图形的概念：如果一个图形沿一条直线折叠，直线两旁的部分能够互相重合，这个图形叫做轴对称图形，这条直线叫做对称轴进行分析．【解答】解：“木”，“古”也是轴对称图形，故答案为：“木”，“古”．13．在Rt△ABC中，∠C=90°，∠A=53°，∠B=37°．【考点】直角三角形的性质．【分析】根据直角三角形两锐角互余，即可求出∠B的度数．【解答】解：Rt△ABC中，∵∠C=90°，∠A=53°，∴∠B=90°﹣∠A=90°﹣53°=37°．故答案为：37°．14．如图，已知∠D=∠C，还需添加一个条件是∠ABD=∠BAC或∠ABC=∠BAD，使得△ABD≌△BAC，依据是AAS或ASA ．【考点】全等三角形的判定．【分析】本题要判定△ABD≌△BAC，已知∠C=∠D，AB是公共边，具备一角一边对应相等，故添加一角后可根据AAS定理判定．【解答】解：所添条件为：∠ABD=∠BAC或∠ABC=∠BAD；∵∠C=∠D，AB=AB，∠ABD=∠BAC，∴△ABD≌△BAC，同理，∠C=∠D，AB=AB，∠ABC=∠BAD，∴△ABD≌△BAC．故填：∠ABD=∠BAC或∠ABC=∠BAD；AAS或ASA．15．如图，在△ABC中，∠C=90°，AD是∠BAC的角平分线，若AB=10，BC=8，BD=5，则△ABD 的面积为15 ．【考点】角平分线的性质．【分析】过点D作DE⊥AB于E，先求出CD的长，再根据角平分线上的点到角的两边的距离相等可得DE=CD，然后根据三角形的面积公式列式计算即可得解．【解答】解：如图，过点D作DE⊥AB于E，∵BC=8，BD=5，∴CD=BC﹣BD=8﹣5=3，∵AD是∠BAC的角平分线，∠C=90°，∴DE=CD=3，∴△ABD的面积=AB•DE=×10×3=15．故答案为：15．16．如图，已知S△ABC=8cm2，AD是中线，DE是△ADC的中线，则S△ADE= 2cm2．【考点】三角形的面积．【分析】根据三角形的面积公式，得△ADE的面积是△ACD的面积的一半，△ACD的面积是△ABC的面积的一半．【解答】解：∵AD是△ABC的中线，S△ABC=8cm2，∴S△ADC=4cm2．∵DE是△ADC的中线，S△ADC=4cm2，∴S△ADE=2cm2．故答案为：2cm2．三、解答题（本大题有11小题，共86分）17．如图（1）作∠ACB的角平分线（尺规作图）；（2）在△ABC中，画出BC边的高．【考点】作图—复杂作图．【分析】（1）利用基本作图（作已知角的平分线）作CE平分∠ACB；（2）利用基本作图（过一点作已知直线的垂线）作AF⊥BD于F．【解答】解：（1）如图，CE为所作；（2）如图，AF为所作．18．已知∠ACD=150°，∠B=120°，求∠A．【考点】三角形的外角性质．【分析】据三角形外角性质得出∠ACD=∠A+∠B，代入求出即可．【解答】解：∵∠ACD=∠A+∠B，∠ACD=150°，∠B=120°，∴∠A=∠ACD﹣∠B=30°．19．一个多边形的内角和是它外角和的2倍，求这个多边形的边数．【考点】多边形内角与外角．【分析】根据多边形的内角和公式（n﹣2）•180°以及外角和定理列出方程，然后求解即可．【解答】解：设这个多边形的边数是n，根据题意得，（n﹣2）•180°=2×360°，解得n=6．答：这个多边形的边数是6．20．如图，点D在AB上，点E在AC上，AB=AC，AD=AE．求证：∠B=∠C．【考点】全等三角形的判定与性质．【分析】首先根据条件AB=AC，AD=AE，再加上公共角∠A=∠A可利用SAS定理证明△ABE≌△ACD，进而得到∠B=∠C．【解答】证明：在△ABE和△ACD中，，∴△ABE≌△ACD（SAS）．∴∠B=∠C．21．如图，AC与BD交于点E，AB=DC，∠ABC=∠DCB．若∠DBC=35°，求∠ACB的度数．【考点】全等三角形的判定与性质．【分析】根据SAS推出△ABC≌△DCB，根据全等三角形的性质得出∠ACB=∠DBC，代入求出即可．【解答】解：∵在△ABC和△DCB中∴△ABC≌△DCB（SAS），∴∠ACB=∠DBC，∵∠DBC=35°，∴∠ACB=35°．22．已知如图，点B、F、C、E、在一条直线上，AB⊥AC，DE⊥DF，AC=DF，BF=CE．求证：AB∥DE．【考点】全等三角形的判定与性质．【分析】求出BC=EF，∠A=∠D=90°，根据HL推出Rt△BAC≌Rt△EDF，根据全等三角形的性质得出∠B=∠E，根据平行线的判定得出即可．【解答】证明：∵BF=CE，∴BF+FC=CE+FC，∴BC=EF，∵AB⊥AC，DE⊥DF，∴∠A=∠D=90°，在Rt△BAC和Rt△EDF中∴Rt△BAC≌Rt△EDF（HL），∴∠B=∠E，∴AB∥DE．23．如图，点B在AC上，DC=CE，∠DAC=∠CBE=∠DCE=90°，AD=2，AB=1．求BE的长．【考点】全等三角形的判定与性质．【分析】利用同角的余角相等求出∠ACD=∠E，然后利用“角角边”证明△ACD和△BEC全等，根据全等三角形对应边相等可得BC=AD，BE=AC，然后求解即可．【解答】解：∵∠CBE=∠DCE=90°，∴∠ACD+∠BCE=∠E+∠ACE=90°，∴∠ACD=∠E，在△ACD和△BEC中，，∴△ACD≌△BEC（AAS），∴BC=AD，BE=AC，∵AD=2，AB=1，∴AC=AB+BC=AB+AD=1+2=3，∴BE=3．24．如图，在△ABC中，点D在AB上，DE⊥AB于D，交AC于E，BC=BD，DE=CE．（1）求证：∠C=90°；（2）若点D是AB的中点，求∠A．【考点】全等三角形的判定与性质；角平分线的性质．【分析】（1）利用“边边边”证明△BCE和△BDE全等，根据全等三角形对应角相等可得∠C=∠BDE，再根据垂直的定义证明即可；（2）根据全等三角形对应角相等可得∠CBE=∠DBE，根据等边对等角可得∠DBE=∠A，然后根据直角三角形两锐角互余列式计算即可得解．【解答】（1）证明：在△BCE和△BDE中，，∴△BCE≌△BDE（SSS），∴∠C=∠BDE，∵DE⊥AB，∴∠BDE=90°，∴∠C=90°；（2）解：∵△BCE≌△BDE，∴∠CBE=∠DBE，∵点D是AB的中点，DE⊥AB，∴AE=BE，∴∠DBE=∠A，∴∠ABC=2∠A，在Rt△ABC中，∠A+∠ABC=90°，∴∠A+2∠A=90°，解得∠A=30°．25．如图，已知AC平分∠BAD，CE⊥AB于E，CF⊥AD于F，且BC=CD．（1）求证：△BCE=△D CF；（2）若AB=21，AD=9，求AE的长．【考点】全等三角形的判定与性质．【分析】（1）首先利用角平分线的性质得出CF=CE，进而利用HL定理得出Rt△CFD≌Rt△CEB；（2）首先得出Rt△CFA≌Rt△CEA，进而得出AF=AE，设DF=x，则9+x=21﹣x，求出x即可得出AE的长．【解答】（1）证明：∵AC平分∠BAD，CE⊥AB于E，CF⊥AD于F，∴CE=CF，∠F=∠CEB=90°，在Rt△CFD和Rt△CEB中，，∴Rt△CFD≌Rt△CEB（HL）；（2）解：∵在Rt△CFA和Rt△CEA中，，∴Rt△CFA≌Rt△CEA（HL），∴AF=AE，设DF=x，则9+x=21﹣x，解得：x=6，故AE=21﹣6=15．26．如图，在四边形ABCD中，∠D=60°，∠B是钝角，对角线AC平分∠BAD．（1）若BC∥AD，∠ACD=85°，求∠B；（2）若BC=CD，求∠B．【考点】全等三角形的判定与性质；角平分线的性质．【分析】（1）由BC∥AD，得到∠ACB=∠DAC，由于对角线AC平分∠BAD，得到∠BAC=∠C AD，等量代换得到∠BAC=∠ACB，根据三角形的内角和得到∠DAC=35°，即可得到结论；（2）过C作CE⊥AB交AB的延长线于E，CF⊥AD于F，根据角平分线的性质得到CE=CF，推出Rt△CBE≌Rt△CDF，根据全等三角形的性质得到∠CBE=∠D=60°，即可得到结论．【解答】解：（1）∵BC∥AD，∴∠ACB=∠DAC，∵对角线AC平分∠BAD，∴∠BAC=∠CAD，∴∠BAC=∠ACB，∵∠ACD=85°，∠D=60°，∴∠DAC=35°，∴∠BAC=∠ACB=35°，∴∠B=180°﹣35°﹣35°=110°；（2）过C作CE⊥AB交AB的延长线于E，CF⊥AD于F，∵对角线AC平分∠BAD，∴CE=CF，在Rt△CBE与Rt△CDF中，，∴Rt△CBE≌Rt△CDF，∴∠CBE=∠D=60°，∴∠ABC=180°﹣60°=120°．27．在四边形ABCD中，AD∥BC，点E在直线AB上，且DE=CE．（1）如图（1），若∠DEC=∠A=90°，BC=3，AD=2，求AB的长；（2）如图（2），若DE交BC于点F，∠DFC=∠AEC，猜想AB、AD、BC之间具有怎样的数量关系？并加以证明．【考点】全等三角形的判定与性质；平行线的性质；三角形内角和定理；三角形的外角性质．【分析】（1）推出∠ADE=∠BEC，根据AAS证△AED≌△CEB，推出AE=BC，BE=AD，代入求出即可；（2）推出∠A=∠EBC，∠AED=∠BCE，根据AAS证△AED≌△BCE，推出AD=BE，AE=BC，即可得出结论．【解答】（1）解：∵∠DEC=∠A=90°，∴∠ADE+∠AED=90°，∠AED+∠BEC=90°，∴∠ADE=∠BEC，∵AD∥BC，∠A=90°，∴∠B+∠A=180°，∴∠B=∠A=90°，在△AED和△CEB中，∴△AED≌△CEB（AAS），∴AE=BC=3，BE=AD=2，∴AB=AE+BE=2+3=5．（2）AB+AD=BC，证明：∵AD∥BC，∴∠A=∠EBC，∵∠DFC=∠AEC，∠DFC=∠BCE+∠DEC，∠AEC=∠AED+∠DEC，∴∠AED=∠BCE，在△AED和△BCE中，∴△AED≌△BCE（AAS），∴AD=BE，AE=BC，∵BC=AE=AB+BE=AB+AD，即AB+AD=BC．。

福建省厦门市外国语学校海沧附属学校2020~2021学年五年级上册英语期中质量检测卷Part1 听力部分（共六大题,满分53分）一、Listen and write the missing letters. 听音，把单词补充完整，每条横线填一个字母。

（每条横线 1 分，共 6 分）1. He’s my bab__ brother.2. It’s a r__d pen.3. Nice to m__ __t you.4. Please sit d__ __n.二、Listen and choose . 听句子，选出相应的图片。

（每小题 2 分，共12分）5. A. B. C._____________________________________________________________________6. A. B. C._____________________________________________________________________7. A. B. C._____________________________________________________________________8. A. B. C._____________________________________________________________________9. A. B. C._____________________________________________________________________10. A. B. C._____________________________________________________________________三、Listen to some questions and choose the right answers. 听问句，选答语。

2015-2016学年（上）厦门市八年级质量检测英语（试卷满分：150分考试时间：120分钟）准考证号姓名座位号考生注意：本试卷分为两大部分，第一部分（1-61小题）为选择题，请考生将答案用2B铅笔填在答题卡上；第二部分为非选择题，请考生将答案用0.5毫米的黑色签字笔书写在答题卡上。

第一部分（选择题）（二）基础知识与运用（每小题2分，共40分）Ⅴ. 选择填空：从A、B、C中，选出一个最佳答案完成句子。

17. — Is Cindy going to the ?—No, she doesn’t like music.A. concertB. dentistC. apartment18. We didn’t go last vacation because of the heavy rain.A. somewhereB. anywhereC. nowhere19. My problems are very to yours. For example, we don’t want to talk to others.A. gladB. differentC. similar20. My parents were always there me when I needed them.A. fromB. forC. without21. I made a cake by myself. I’d like to it with my friends at breakfast.A. shareB. coverC. improve22. Peter read the article to find the answer to the question.A. certainlyB. comfortablyC. carefully23. — Why are you so angry?— Because you keep TV all the time!A. watchingB. watchC. watched24. — Could you tell me how to a special story for kids.— Yes. First of all, you have to choose the main characters.A. make upB. dress upC. take up25. — I don’t think it’s good to the problems when we meet them.— Yes, I agree with you. We should try to solve them.A. turn downB. run away fromC. look forward to26. —do you exercise?— Oh, hardly ever. I really don’t like sports.A. How soonB. How longC. How often27. — What is Tony like?—.A. He is funny and outgoingB. He likes playing baseballC. He’d like some noodles28. — Nancy, thanks for your invitation, but I can’t join you because I have to take a guitar lesson.—.A. I can’t eitherB. It sounds greatC. That’s too bad.VI. 完形填空：从A、B、C中，选择一个最佳答案，使短文意思完整。

2021-2021学年福建省厦门外国语学校海沧附属学校八年级（上）期中数学试卷一、选择题（每小题4分，共40分）1.如图所示的图形中，不是轴对称图形的是（）A. B. C. D.【答案】D【解析】【分析】根据关于某条直线对称的图形叫轴对称图形，进而判断得出即可．【详解】解：A、是轴对称图形，不合题意；B、是轴对称图形，不合题意；C、是轴对称图形，不合题意；D、不是轴对称图形，符合题意；故选：D．【点睛】本题考查轴对称图形，轴对称图形的关键是寻找对称轴，对称轴可使图形两部分折叠后重合．2.下列计算正确的是（）A. a2•a3＝a6B. 2a•3a＝6aC. （a2）3＝a6D. （a+b）2＝a2+b2【答案】C【解析】【分析】根据同底数幂的乘法、单项式乘以单项式、幂的乘方、完全平方公式分别求出每个式子的值，再判断即可．【详解】解：A、结果是a5，故本选项错误；B、结果是6a2，故本选项错误；C、结果是a6，故本选项正确；D、结果是a2+2ab+b2，故本选项错误.故选：C．【点睛】本题考查同底数幂的乘法、单项式乘以单项式、幂的乘方、完全平方公式，能灵活运用知识点进行化简是解题的关键．3.下列等式能够成立的是（）A. （2x﹣y）2＝4x2﹣2xy+y2B. （x+y）2＝x2+y2C. （12a﹣b）2＝14a2﹣ab+b2 D. （1x+x）2＝21x+x2【答案】C【解析】【分析】直接利用完全平方公式计算得出答案．【详解】解：A、（2x﹣y）2＝4x2﹣4xy+y2，错误；B、（x+y）2＝x2+2xy+y2，错误；C、（12a﹣b）2＝14a2﹣ab+b2，正确；D、（1x+x）2＝21x+2+x2，错误．故选：C．【点睛】本题考查完全平方公式，正确记忆完全平方公式：（a±b）2＝a2±2ab+b2是解题的关键．4.已知AB＝3，BC＝1，则AC的长度的取值范围是（）A. 2≤AC≤4B. 2＜AC＜4C. 1≤AC≤3D. 1＜AC＜3【答案】A【解析】【分析】根据在三角形中任意两边之和大于第三边，任意两边之差小于第三边．即可求解．【详解】解：若A，B，C三点共线，则AC＝2或＝4；若A，B，C三点不共线，则根据三角形的三边关系：第三边大于两边之差2，而小于两边之和4．即：2＜AC＜4．故线段AC的长度的取值范围是2≤AC≤4．故选：A．【点睛】本题考查三角形三边关系，注意考虑三点共线和不共线的情况．5.如图，∠A、∠1、∠2的大小关系是()A. ∠A＞∠1＞∠2B. ∠2＞∠1＞∠AC. ∠A＞∠2＞∠1D. ∠2＞∠A＞∠1 【答案】B【解析】分析】根据三角形一个外角大于任一个不相邻的内角即可得出答案.【详解】根据三角形的一个外角大于任一个不相邻的内角，可得∠1＞∠A，∠2＞∠1，所以∠2＞∠1＞∠A故答案选B.【点睛】本题考查的知识点是三角形的外角性质，解题的关键是熟练的掌握三角形的外角性质. 6.如图，△AOC≌△BOD，点A与点B是对应点，那么下列结论中错误的是（）A. AB＝CDB. AC＝BDC. AO＝BOD. ∠A＝∠B【答案】A【解析】【分析】根据全等三角形的对应边、对应角相等，可得出正确的结论，可得出答案．【详解】∵△AOC≌△BOD，∴∠A=∠B，AO=BO，AC=BD，∴B、C、D均正确，而AB、CD不是不是对应边，且CO≠AO，∴AB≠CD，故选A．【点睛】本题主要考查全等三角形的性质，掌握全等三角形的对应边、角相等是解题的关键．7.将四边形截去一个角后，所形成的一个新的多边形的内角和（）A. 180°B. 360°C. 540°D. 180°或360°或540°【答案】D【解析】【分析】根据一个四边形截一刀后得到的多边形的边数即可得出结果．【详解】解：∵一个四边形截去一个角后得到的多边形可能是三角形，可能是四边形，也可能是五边形，∴内角和可能减少180°，可能不变，可能增加180°，即新的多边形的内角和为180°或360°或540°．故选：D．【点睛】本题考查多边形的内角与外角，能够得出一个四边形截一刀后得到的图形有三种情形，是解题的关键．8.如图，在△ABC中，DE是AC的垂直平分线，且分别交BC，AC于点D和E，∠B＝60°，∠C＝25°，则∠BAD为（）A. 50°B. 70°C. 75°D. 80°【答案】B【解析】分析：根据线段垂直平分线的性质得到DA=DC，根据等腰三角形的性质得到∠DAC=∠C，根据三角形内角和定理求出∠BAC，计算即可．详解：∵DE是AC的垂直平分线，∴DA=DC，∴∠DAC=∠C=25°，∵∠B=60°，∠C=25°，∴∠BAC=95°，∴∠BAD=∠BAC-∠DAC=70°，故选B．点睛：本题考查的是线段垂直平分线的性质、等腰三角形的性质，掌握线段的垂直平分线上的点到线段的两个端点的距离相等是解题的关键．9.已知a﹣b＝3，则a2﹣ab﹣3b的值为（）A. 7B. 11C. 9D. 5【答案】C【解析】【分析】将式子进行分组因式分解，再适时代入a﹣b的值计算，即求出答案．【详解】解：∵a﹣b＝3，∴a2﹣ab﹣3b＝a（a﹣b）﹣3b＝3a﹣3b＝3（a﹣b）＝3×3＝9．故选：C．【点睛】本题考查因式分解的应用，熟练掌握分组因式分解的方法是解题的关键．10. 观察下列各式及其展开式：（a+b）2=a2+2ab+b2（a+b）3=a3+3a2b+3ab2+b3（a+b）4=a4+4a3b+6a2b2+4ab3+b4（a+b）5=a5+5a4b+10a3b2+10a2b3+5ab4+b5…请你猜想（a+b）10展开式第三项的系数是（）A. 36B. 45C. 55D. 66【答案】B【分析】归纳总结得到展开式中第三项系数即可．【详解】解：解：（a+b）2=a2+2ab+b2；（a+b）3=a3+3a2b+3ab2+b3；（a+b）4=a4+4a3b+6a2b2+4ab3+b4；（a+b）5=a5+5a4b+10a3b2+10a2b3+5ab4+b5；（a+b）6=a6+6a5b+15a4b2+20a3b3+15a2b4+6ab5+b6；（a+b）7=a7+7a6b+21a5b2+35a4b3+35a3b4+21a2b5+7ab6+b7；第8个式子系数分别为：1，8，28，56，70，56，28，8，1；第9个式子系数分别为：1，9，36，84，126，126，84，36，9，1；第10个式子系数分别为：1，10，45，120，210，252，210，120，45，10，1，则（a+b）10的展开式第三项的系数为45．故选B．【点睛】本题考查了完全平方公式的规律，根据给的式子得出规律是解题的关键.二．填空题（本题共6个小题，每小题4分，共24分）11.在直角坐标平面内，点M（﹣2，3）关于y轴对称的点的坐标是_____．【答案】(2,3)【解析】【分析】根据关于y轴对称点的坐标特点：横坐标互为相反数，纵坐标不变可直接得到答案．【详解】解：点P（2，3）关于y轴对称的点的坐标是（﹣2，3），故答案为：（﹣2，3）．【点睛】此题主要考查了关于y轴对称点的坐标特点，关键是掌握点的坐标的变化规律．12.计算：a8•a＝_____．（a3）2＝_____．【答案】(1). a9(2). a6【解析】利用同底数幂的乘法运算法则和幂的乘方运算法则分别化简求出答案．【详解】解：a8•a＝a9，（a3）2＝a6．故答案为：a9，a6．【点睛】本题考查同底数幂的乘法运算以及幂的乘方运算，正确掌握运算法则是解题的关键．13.（2x2﹣3x﹣1）（x+b）的计算结果不含x2项，则b的值为_____．【答案】3 2【解析】【分析】根据多项式乘以多项式的运算法则即可求出答案．【详解】解：原式＝2x3+2bx2﹣3x2﹣3bx﹣x﹣b 由于不含x2项，∴2b﹣3＝0，∴b＝32，故答案为：32．【点睛】本题考查多项式乘以多项式，解题的关键是熟练运用多项式乘以多项式的运算法则，本题属于基础题型．14.等腰三角形的一腰上的高与另一腰的夹角为45°，则这个三角形的底角为_____．【答案】°或°【解析】试题解析：有两种情况；（1）如图，当△ABC是锐角三角形时，BD⊥AC于D，则∠ADB=90°，已知∠ABD=45°，∴∠A=90°-45°=45°，∵AB=AC，∴∠ABC=∠C=12×（180°-45°）=°；（2）如图，当△EFG是钝角三角形时，FH⊥EG于H，则∠FHE=90°，已知∠HFE=45°，∴∠HEF=90°-45°=45°，∴∠FEG=180°-45°=135°，∵EF=EG，∴∠EFG=∠G=12×（180°-135°）=°.15.如图∠AOP＝∠BOP＝15°，PC∥OA，PD⊥OA于点D，若PD＝1，则PC等于_____．【答案】2【解析】【分析】作PE⊥OB于E，根据角平分线的性质得到PD＝PE＝1，根据平行线的性质求出∠PCB＝∠AOB＝30°，根据含30°角的直角三角形的性质计算即可．【详解】解：作PE⊥OB于E，∵∠AOP＝∠BOP，PD⊥OA，PE⊥OB，∴PD＝PE＝1，∵∠AOP＝∠BOP＝15°，∴∠AOB＝30°，∵PC∥OA，∴∠PCB＝∠AOB＝30°，∴PC＝2PE＝2．故答案为：2．【点睛】本题考查角平分线的性质，含30°角的直角三角形的性质，掌握角的平分线上的点到角的两边的距离相等是解题的关键．16.对于非零的两个实数a、b，规定a⊗b＝a a+b，则（﹣2）⊗2＝_____．【答案】1【解析】【分析】直接利用已知将原式变形计算得出答案．【详解】解：∵a⊗b＝a a+b，∴（﹣2）⊗2＝（﹣2）﹣2+2＝（﹣2）0＝1．故答案为：1．【点睛】本题考查实数运算，零指数幂，正确理解题意是解题的关键．三.解答题（共86分）17.计算：（1）8x4y2÷x3y•2x；（2）（2a+b）•（a﹣2b）【答案】（1）16x2y（2）2a2﹣3ab﹣2b2【解析】【分析】（1）直接利用整式的乘除法运算法则计算得出答案；（2）直接利用多项式乘以多项式运算法则计算得出答案．【详解】解：（1）8x4y2÷x3y•2x＝8xy•2x＝16x2y；（2）（2a+b）•（a﹣2b）=2a2﹣4ab + ab﹣2b2＝2a2﹣3ab﹣2b2．故答案为：（1）16x2y（2）2a2﹣3ab﹣2b2．【点睛】本题考查整式的混合运算，正确掌握相关运算法则是解题的关键．18.化简求值（x+2）2﹣（x﹣1）（x+1），其中x＝﹣54．【答案】0【解析】【分析】直接利用乘法公式化简计算，进而把已知代入得出答案．【详解】解：原式＝x2+4x+4﹣（x2﹣1）＝4x+5，把x＝﹣54代入得：原式＝﹣5+5＝0．故答案为：0．【点睛】本题主要考查整式的混合运算，正确应用乘法公式是解题的关键．19.按要求完成作图：（1）作出△ABC关于x轴对称的图形；（2）写出A、B、C的对应点A′、B′、C′的坐标；（3）直接写出△ABC的面积．【答案】（1）见解析（2）A′（﹣4，﹣1）、B′（﹣3，﹣3）、C′（﹣1，﹣2）（3）【解析】【分析】（1）依据轴对称的性质，即可得到△ABC关于x轴对称的图形；（2）依据对应点A′、B′、C′位置，即可得到其坐标；（3）依据割补法进行计算，即可得到△ABC的面积．【详解】解：（1）如图所示，△A'B'C'即为所求；（2）由图可得，A′（﹣4，﹣1）、B′（﹣3，﹣3）、C′（﹣1，﹣2）；（3）△ABC的面积＝2×3﹣12×1×2﹣12×1×2﹣12×1×3＝6﹣1﹣1﹣＝．故答案为：（1）见解析；（2）A′（﹣4，﹣1）、B′（﹣3，﹣3）、C′（﹣1，﹣2）；（3）．【点睛】本题考查利用轴对称变换进行作图，几何图形都可看做是由点组成，我们在画一个图形的轴对称图形时，是先从确定一些特殊的对称点开始．20.如图，已知AB∥DC，AB＝DC，则AD∥BC吗说明理由．【答案】AD∥BC，理由见解析.【解析】分析：先根据“SAS”证明△ABC≌△CDA，由全等三角形的性质得∠ACB=∠DAC，再根据内错角相等两直线平行可证AD∥BC.详解：AD∥BC，理由如下：∵AB∥DC，∴∠BAC=∠DCA.在△ABC 和△ACD 中，∵AB = CD，∠BAC =∠DCA，AC = CA，∴△ABC≌△CDA （SAS），∴∠ACB=∠DAC，∴AD∥BC.点睛：本题考查了全等三角形的判定与性质，平行线的判定与性质，证明△ABC≌△CDA是解答本题的关键.21.已知，如图，点B、F、C、E在同一直线上，AC、DF相交于点G，AB⊥BE，垂足为B，DE⊥BE，垂足为E，且AC＝DF，BF＝CE．求证：GF＝GC．【答案】证明见解析【解析】【分析】由AB ⊥BE 和DE ⊥BE 可得∠B ＝∠E ＝90°，由此可得△ABC 和△DEF 是直角三角形；又由BF ＝CE 可得CB ＝EF ，再加条件AC ＝DF ，可以用HL 定理证明Rt △ABC ≌Rt △DEF ，由此可以得到∠ACB ＝∠DFE ，利用等角对等边可证出GF ＝GC ．【详解】证明：∵AB ⊥BE∴∠B ＝90°∵DE ⊥BE∴∠E ＝90°∵BF ＝CE∴BF+CF ＝CE+CF即：CB ＝EF在Rt △ABC 和Rt △DEF 中AC=DF BC=EF ⎧⎨⎩， ∴Rt △ABC ≌Rt △DEF （HL ）∴∠ACB ＝∠DFE∴GF ＝CG.【点睛】本题考查全等三角形的判定和性质，关键是证明直角三角形全等的HL 定理和等腰三角形的判定定理的综合运用．22.如图，在△ABC 中，AB ＝AC ，∠BAC ＝120°，AD ⊥AC 交BC 于点D ，AD ＝3cm ，求BC 的长．【答案】9【解析】【分析】在△ABC 中，根据等边对等角的性质及三角形内角和定理得出∠B ＝∠C ＝30°，由AD ⊥AC ，∠C ＝30°，得出CD＝2AD＝6，再证明∠BAD＝∠B＝30°，那么AD＝DB＝3，于是BC＝CD+BD＝9．【详解】解：∵AB＝AC，∴∠B＝∠C．∵∠BAC＝120°，∠BAC+∠B+∠C＝180°，∴∠B＝∠C＝30°．∵AD⊥AC，∴∠DAC＝90°．∴DC＝2AD，∠BAD＝∠BAC﹣∠DAC＝30°．∴∠BAD＝∠B．∴BD＝AD＝3．∴BC＝BD+DC＝3BD＝9．故答案为：9．【点睛】本题考查含30度角的直角三角形的性质：在直角三角形中，30°角所对的直角边等于斜边的一半．同时考查了等腰三角形的判定与性质．23.如图，△ABC、△BDE都是等腰直角三角形，∠ABC＝∠DBE＝90°，连接AE、CD交于点F，连接BF．求证：（1）AE＝CD；（2）BF平分∠AFD．【答案】（1）详见解析（2）详见解析【解析】【分析】（1）由等腰直角三角形的性质可得AB＝BC，BE＝BD，∠ABC＝∠DBE，由“SAS”可证△ABE≌△CBD，可得AE＝CD；（2）由全等三角形的性质可得S△ABE＝S△CBD，可求BM＝BN，由角平分线的性质可证BF平分∠AFD．【详解】证明：（1）∵△ABC、△BDE都是等腰直角三角形∴AB＝BC，BE＝BD，∠ABC＝∠DBE∴∠ABE＝∠CBD，且AB＝BC，BE＝BD，∴△ABE≌△CBD（SAS）∴AE＝CD；（2）如图，过点B作BM⊥AE于M，BN⊥CD于N，∵△ABE≌△CBD∴S△ABE＝S△CBD，∴12AE×BM＝12CD×BN∴BM＝BN，且BM⊥AE，BN⊥CD∴BF平分∠AFD.【点睛】本题考查全等三角形的判定和性质，等腰三角形的性质，角平分线的性质，熟练运用全等三角形的性质是解题的关键．24.如果一个正整数能表示为两个连续偶数的平方差，那么称这个正整数为“神秘数”．如：4=22﹣02，12=42﹣22，20=62﹣42，因此4，12，20都是“神秘数”(1)28和2021这两个数是“神秘数”吗为什么(2)设两个连续偶数为2k+2和2k(其中k取非负整数)，由这两个连续偶数构造的神秘数是4的倍数吗为什么(3)两个连续奇数的平方差(k取正数)是神秘数吗为什么【答案】(1)28和2021是神秘数（2）84k 是4的倍数（3）8k不能整除8k+4【解析】【分析】（1）根据“神秘数”的定义，设这两个连续偶数分别为2m，2m+2，列方程求出m的值即可得答案；（2）根据“神秘数”的定义可知(2n)2-(2n-2)2=4(2n-1)，即可得答案；（3）由（2）可知“神秘数”是4的倍数，但一定不是8的倍数，而连续两个奇数的平方差一定是8的倍数，即可得答案.【详解】（1）设设这两个连续偶数分别为2m，2m+2，则根据题意得：(2m+2)2-(2m)2=28，8m+4=28，m=3，∴2m=6，2m+2=8，即82-62=28，∴28“神秘数”.(2m+2)2-(2m)2=2021，8m+4=2021，m=501，∴2m=1002∴2021是“神秘数”.（2）是；理由如下：∵(2n)2-(2n-2)2=4(2n-1)，∴由这两个连续偶数构造的神秘数是4的倍数.（3）由（2）可知“神秘数”可表示为4(2n-1)，∵2n-1是奇数，∴4(2n-1)是4的倍数，但一定不是8的倍数，设两个连续的奇数为2n-1和2n+1，则(2n+1)2-(2n-1)2=8n.∴连续两个奇数的平方差是8的倍数，∴连续两个奇数的平方差不是“神秘数”.【点睛】本题首先考查了阅读能力、探究推理能力．对知识点的考查，主要是平方差公式的灵活应用25.（1）如图，已知∠MAN＝120°，AC平分∠MAN，∠ABC＝∠ADC＝90°，则能得到如下两个结论：①DC＝BC；②AD+AB＝AC．请你证明结论②．（2）如图，把（1）中的条件“∠ABC＝∠ADC＝90°”改为∠ABC+∠ADC＝180°，其他条件不变，则（1）中的结论是否仍然成立若成立，请给出证明；若不成立，请说明理由．（3）如图3，如果D在AM的反向延长线上，把（1）中的条件“∠ABC＝∠ADC＝90°”改为∠ABC＝∠ADC，其他条件不变，（1）中的结论是否仍然成立若成立，请直接回答；若不成立，你又能得出什么结论，直接写出你的结论．【答案】（1）见解析；（2）（1）中的结论仍然成立，证明见解析；（3）①DC＝BC成立；②不成立，AB﹣AD＝AC．【解析】【分析】（1）由已知易证得△ADC≌△ABC，可得AD＝AB，根据已知可得∠ACD＝30°可得AC＝2AD，即可得结论．（2）以上结论仍成立；作辅助线CE⊥AD，CF⊥AB，首先证得△ACF≌△ACE，可得CF＝CE，即可证得△CFB≌△CED，即可得（1）中结论．（3）同（2）理作辅助线可得DC＝BC成立，AB﹣AD＝AC．【详解】解：（1）∵AC平分∠MAN，∴∠DAC＝∠BAC＝60°，∵∠ABC＝∠ADC＝90°，AC为公共边，∴△ADC≌△ABC（AAS），∴AD＝AB，DC＝BC①；∵∠DCA＝30°，∴AC＝2AD＝AD+AB②；（2）如图：作辅助线CF⊥AB，CE⊥AD，∵AC平分∠MAN，∴∠DAC＝∠BAC＝60°，又∵CF⊥AB，CE⊥AD，且AC为公共边，∴△ACF≌△ACE（AAS），即CF＝CE①；∵∠ABC+∠ADC＝180°，∠MAN＝120°，∴∠DCB＝180°﹣120°＝60°，∵在直角三角形AFC中∠ACF＝30°，∴∠DCA+∠FCB＝30°，∵在直角三角形AEC中∠DCA+∠DCE＝30°，∴∠FCB＝∠DCE②；由CE⊥AD，CF⊥AB，且已证得条件①②，∴△CED≌△CFB（ASA），∴DC＝BC；ED＝FB；∵在直角△ACF中，AC＝2AF，在直角△ACE中，AC＝2AE，即AC＝AE+AF，已证得ED＝FB，∴AC＝AD+AB；（3）①DC＝BC成立；②不成立，AB﹣AD＝AC．故答案为：（1）见解析；（2）（1）中的结论仍然成立，证明见解析；（3）①DC＝BC成立；②不成立，AB﹣AD＝AC．【点睛】本题考查三角形全等的判定，涉及到直角三角形、角平分线、三角形内角和定理等知识点，正确作出辅助线是解题的关键．。

海沧实验中学2015-2016学年八年级（上）英语期中质量检测试题(二)基础知识与运用(每小题1.5分,共30分)V. 选择填空: 从A、B、C中，选出一个最佳答案完成句子。

16. — Where shall we go this weekend?— It’s up ________ you to decide.A. forB. toC. of17. — Jim, is there ________ in today’s newspaper?— Nothing, I think.A. important anythingB. anything importantC. something important18. Dale is a small ________ who sells hats in New York.A. doctorB. reporterC. trader19. — Rick, will you go to the movies with me tomorrow?— Sorry, tomorrow is quite ________ for me. I have a lot of things to do.A. enjoyableB. fullC. lucky20. Gina is ________ to her mom in many ways. For example, they are both tall and thin.A. friendlyB. closeC. similar21. My math teacher looks so ________ that I’m afraid to talk to him.A. outgoingB. seriousC. funny22. My father doesn’t like soap operas, so he ________ watches them.A. usuallyB. hardly everC. always23. — I ________ to get better grades next term.— You can make it if you work hard.A. expectB. learnC. remember24. Most of my classmates read English ________ 5 times a week, so they get good grades.A. at lastB. all in allC. at least25. I love watching news because I expect to ________ what’s going on around the world.A. find outB. care aboutC. make up26. — I was late for school yesterday.— ________? You always get up so early.A. Why notB. How comeC. What about it27. My best friend always helps to ________ the best in me.A. come outB. bring outC. take outVI. 完形填空：从A、B、C中，选出一个最佳答案，使短文意思完整。

厦门外国语学校2012-2013学年第一学期初二年级英语科阶段考试卷（满分：150分；考试时间：120分钟）（二）基础知识与运用（每小题1分，共25分）II. Multiple choice (1*15’=15’)16. Many teenagers like the movie __________ Superman very much.A. callsB. calledC. calling17. ---Where is the book?---I’m not sure. It _______ on the shelf.A.may beB. mayC. maybe18. Linda wants to buy_______ for the party.A. special somethingB. nothing specialC. something special19. We didn’t go for a drive________ the bad weather.A. becauseB. because ofC. so20. I’m unhealthy. I have to play some sports on weekends.A. a kind ofB. a kindC. kind of21. It was happy a nice trip in summer holiday.A. to haveB. haveC. having22. It’s an ________ concert. The audience are very .A. excited; excitingB. excited; excitedC. exciting; excited23. He was so tired that he could say a word.A. hardB. nearlyC. hardly24. James often forgot ______his homework when he was a student.A. to doB. didC. do25. Fiona spends two hours a day the piano every day.A. to playB. playsC. playing26. The English story is easy for me to read. There are _______ new words in it.A. fewB. a fewC. little27. There is going to a meeting tomorrow.A. haveB. hasC. be28. He knows a lot he is only 5 years old.A. althoughB. butC. because29. How many are there in the classroom.A. studentB. teacherC. students30. Peter couldn’t wait ________ home after he finished on the farm.A. going; workB. to go; workingC. to go; to workⅢ. Cloze 10’ (1’*10=10’)Norman Bethune (白求恩) is one of China's most famous heroes, but he wasn't Chinese—he was Canadian. He spent his life helping the Chinese people.Norman Bethune 31 born in 1890. He became a 32 in 1916, and he went to the front to look after wounded (受伤的) soldiers in the First World War. He saw many soldiers die in the war. Later he invented new treatments （治疗）to 33 soldiers, and medical tools to use outside hospitals. In 1938 he came to China to treat the Chinese soldiers in the mountains north of Yan'an. There were 34 doctors, so he had to work very hard. He openedhospitals to give treatment to local people and soldiers, and to train doctors and nurses. He also wrote books so that doctors could learn about new treatments.Dr Bethune worked very hard without stopping to 35 . Once, he preformed operation 36 69 hours without stopping, and saved 112 people. He 37 working in spite of (尽管) cutting his hand during an operation. In the end, he died because he did not take care of his 38 .Dr Bethune's work with the Chinese soldiers made 39 a hero in China. There are books and films about him, and he is 40 remembered in both Canada and China.( )31. A. is B. was C. has been D. be( )32. A. doctor B. nurse C. teacher D. worker( )33. A. understand B. believe C. help D. count( )34. A. little B. few C. much D. many( )35. A. rest B. act C. agree D. think( )36. A. from B. since C. with D. for( )37. A. allowed B. kept C. forgot D. stopped( )38. A. face B. leg C. foot D. hand( )39. A. his B. he C. him D. one( )40. A. still B. never C. hardly D. regularlyIV. Reading 25’(1’*25= 25’)ALong long ago there was no zero. To write the number sixty-three people wrote 63. To write six hundred and three, people wrot e 6 3. The space between six and three was there to mean “not any” tens. Sometimes people did not remember the space(空间). It was hard to see and read.Later people used a dot to hold the space. Six hundred and three looked like this 6.3. But the dot was hard to see. So people put a circle around it like this 6⊙3. Then people could see the dot. They remembered the space. At last, only the circle around the dot was used. It was like a zero. This is one story of how the zero came to be used.Now zero has many important uses. Zero tells how many. Can you tell some other ways of using zero?( )41. Long long ago people didn’t know how to _______.A. writeB. write zeroC. write numbersD. sixty-three( )42. Long long ago if they wrote two hundred-eight, people wrote ______.A. 28B. 2 8C. 228D. 208( )ter _________ was used to mean space.A. “not any”B. letter “O”C. zeroD. a dot( )44. People used circles in order _____________.A. to remember waysB. to remember numbersC. not to forget the spaceD. to mean nothing( ) 45. The story tells us___________.A. how zero came to be usedB. how to write zeroC. what the use of zero isD. that zero means a dot, a circle or spaceBWhen the Americans were getting ready to send their first men to the moon, an old Australian was watching TV in a restaurant. There was an Englishman in the restaurant, too, and he said to the Australian, “The Americans are clever, aren’t they? They are going to send some men to the moon. It is a very long way from our world.”“Oh, that’s nothing,” the Australian answered quickly. “Our country is going to send some people to the sun in a fewmonths. That’s much farther away than the moon, you know.”“Oh, yes, it is,” the Englishman said, “but the sun is too hot for people to go to.”The Australian laughed and said, “We won’t go to the sun in the day, of course. We’ll go there at night.”( ) 46. Who were going to send their first men to the moon?A. The Americans.B. The Australians.C. The Englishmen.D. Nobody( ) 47. Where were the Australian and Englishman watching TV?A. In the cinemaB. Outside a shopC. In a restaurantD. In an office( ) 48. The Englishman thought _____________.A. the Americans were cleverB. the Australians were cleverC. the Englishmen were cleverD. the white people were clever( ) 49. Both the Englishmen and the Australian knew that _________.A. the moon was much farther away from our earth than the sunB. the sun was much farther away from our earth than the moonC. the sun was much hotter in the day than at nightD. the sun was much hotter at night than in the day( ) 50. The Australian thought that ___________.A. the sun was very hot at nightB. the sun was too cold for people to go to at nightC. the sun is farther away at nightD. people can land on the sun at nightCHong Kong Harbor Cruise By NightEnjoy your wonderful dinner on the ferry and see the fantastic city lights.TIME: 7:00 pm 10:00 pm dailyPRICE: With dinner Without dinnerAdult: HK$300 HK$120Child under 12: HK$210 HK$84START/STOP: Kowloon Public Pier (Near Star Ferry Pier)TICKET OFFICE：Star Company（123 Canton Road）( )51. Where does the cruise start?A. Kowloon Public PierB. Near Star CompanyC. On the ferryD. 123 Canton Road( )52. If Mr. Brown will bring his five-year-old son and his wife to have dinner on the ferry, how much will he pay?A.HK$510B.HK$810C. HK$600D.HK$710( )53. Where can they buy the tickets?A. At Kowloon Public PierB. Near Star Ferry PierC. Star CompanyD. Near Kowloon Public Pier( )54. What can they see on the ferry?A. A filmB. The city lightsC. Playing sportsD. A concert( )55. If you are eleven years old and you don't have dinner during the cruise, how much will you pay?A. HK$300B. HK$120C. HK$84D. HK$210DI often dreamed about Pisa when I was a boy. I read about the famous building called the Leaning Tower of Pisa. But when I read the word Pisa, I was thinking of pizza. I thought this tower was a place to buy pizza. It must be the best place to buy pizza in the world, I thought.Many years later I finally saw the Leaning Tower. I knew then that it was Pisa and not pizza. But there was still something special about it for me. The tower got its name because it really does lean to one side. Some people want to try to fix it. They are afraid it may fall over and they don’t like it leans over the city.I do not think it’s a good idea to try to fix it. The tower probably will not fall down, it is 600 years old. Why should anything happen to it now? And if you ask me if I like what it looks like. To me it is a very human kind of leaning. Nothing is perfect, it seems to say.And who cares? Why do people want things to be perfect? Imperfect things may be more interesting. Let’s take the tower in Pisa. Why is it so famous? There are many other older more beautiful towers in Italy. But Pisa tower is the most famous. People come from all over the world to see it.( ) 56. This passage is about ________.A. Italian pizzaB. Italy's problemsC. How the Leaning Tower of Pisa got its nameD. Why the writer likes Pisa( ) 57. The writer used to think Pisa is __________.A. in SpainB. not very famousC. not the same as PisaD. the same as pizza( ) 58. The Leaning Tower of Pisa is _________.A. modernB. falling downC. 600 years oldD. 60 years old( ) 59. The writer _________.A. doesn't like what the tower looks likeB. likes what the tower looks likeC. thinks it's the most beautiful tower in ItalyD. doesn't like towers( ) 60. The writer likes the Leaning Tower of Pisa because_________ .A. it’s oldB. it’s perfectC. it sells pizzaD. it’s imperfectEHalloween is an annual holiday celebrated on October 31. It has roots in the Celtic festival of Samhain and the Christian holy day of All Saints.The day is often associated with（与…联系）the colors black and orange, and is strongly associated with symbols like the jack-o'-lantern. Halloween activities include trick-or-treating, wearing costumes and attending costume parties, ghost tours, bonfires, visiting haunted attractions, pranks, telling scary stories, and watching horror films.Trick-or-treating is a customary celebration for children on Halloween. Children go in costume from house to house, asking for treats such as candy or sometimes money, with the question, “Trick or treat?” If t hey get the treats, they will feel very happy. However, if no treat is given, the children will play tricks on the people or their homes. They may take a piece of soap and make marks on people’s windows, or throw toilet paper high into a tree again and aga in until the tree was all wrapped in the white paper. The paper would often stay in the tree for weeks until a heavy snow or rain washed it off. And afterwards they will go home and count who gets the most candies.( ) 61. What does the word “annual” mea n?A. dailyB. once a yearC. commonD. sad( ) 62. Halloween is often associated with the colors of _________.A. black and whiteB. black and orangeC. white and orangeD. red and black( ) 63. Which are not Halloween activities?A. trick-or-treating and attending costume partiesB. ghost tours and pranksC. telling funny stories and watching horror filmsD. visiting haunted attractions and bonfires( ) 64. How will the children feel when they get the treats?A. happyB. angryC. sadD. scared( ) 65. Which sentence is not true?A. Trick-or-treating is a customary celebration for children.B. If the children can’t get the treat, they will play tricks on the people or their homes.C. The children will have to clean up the white paper on the tree the next day.D. Children go to people’s houses in costume.第二部分（非选择题）I. Vocabulary.(25’)A.Fill in the blanks with proper words.(1’*10=10*)1.He feels very hot. Maybe he has a high f .2.Mike is a rock m .. He also has his own recording studio.3.Superman came to the earth from another p on a rocket ship.4.I hear Tibet is a good place to go to s . The views there are beautiful.5.It’s raining. Y ou should take an u.6.In yesterday’s speech c, Tina won the first prize.7.Alex was very when he was in middle school.(athlete)8.The food in China is from the food in America. (difference)9.Linda was very . She made many inventions(发明). (create)10. Mr. White is out because he has a lot of work to do.(stress)B. Put the following phrases into English. (2’*4=8’)1. 保持健康___________________2. 嗓子疼___________________3. 至于___________________4. 洗衣物___________________C. Fill in the blanks with proper prepositions and adverbs. (1’*7=7’)1. Xiamen is famous __________ Gulang Island. Many tourists come to Xiamen every year.2. What were you ____________ in elementary school? Were you a good student?3. Mrs. Smith is angry ________ Tom because he didn’t do his homework yesterday.4. The baby was born _________ a cold Sunday evening.5. Her eating habit is the same __________ mine. We both like to eat fruit very much.6. Dad doesn’t like going ___________ for too long. He wil l come back to us next Monday.7. Reading books is good _________ improving your English.II T ense 10'(1*10=10')1.The kids had fun (camp) last week.2.Look at the black clouds! I think it (rain). Let's (go) home quickly.3.My father (buy) an iphone 5 for me three days ago. I (show)it to my friends tomorrow.4.My friend who is a doctor always says:"A cold usually (last) for a week with or without treatment." Last weekI (catch) a cold but I still feel very bad today.5.---When you (get) home yesterday? ----About 6 pm.6.We (hold) a Christmas party next month.III Sentences (2’*6=12’+1*8=8’)1. He exercises three times a week.Q: ____________________________________________________________________________2. the, to, he, young, too, is, join, army (连词成句)____________________________________________________________________________3. Lisa is going to wear a dress to the party.Q:__________________________________________________________________________4. He took a vacation to Thailand last year.Neg:____________________________________________________________________5. I was born in 1998.Inter: _______________________________________________________________________6. Cindy started singing 6 years ago.Q:____________________________________________________________________________7. Superman 救人于危难之中，把犯人关进监狱。