人教版八年级上册单元测试题
人教版八年级数学上册单元测试题及答案全套
人教版八年级数学上册单元测试题及答案全套一、选择题（每小题2分，共20分）1. 下列运算中，结果是有理数的是（）。
A. √7 + √5B. √8 + √16C. √11 + 5D. √3 + 2√72. 已知a、b为正有理数，且a > b，下列不等式中正确的是（）。
A. a√2 > b√2B. a√3 < b√3C. a√5 > b√5D. a√6 < b√63. 下列数中，不能化成√10 形式的无理数是（）。
A. √10 –√5B. (√15 + √5) –√10C. √10 + √5D. (√15 –√5) + √104. 已知√3 + √2 > x，下列结论错误的是（）。
A. √2 < xB. √6 > xC. 2 < xD. 1 < x5. 若(a+b)√2 = a√3 + b√6，那么a:b等于（）。
A. 1:2B. 2:1C. 1:1D. 1:36. 已知数集A = {x | x = 2k – 1，k∈Z}，则集合A的元素个数是（）。
A. 0B. 3C. 4D. 57. 过已知点P(a,b)，不与直线y = 2x + 1平行的直线的个数是（）。
A. 0B. 1C. ∞D. 28. 两直线k1∶－2x + y = 4，k2∶ 6x – 3y = 1，那么k1和k2的关系是（）。
A. 相交B. 平行C. 重合D. 垂直9. 若线段AB的中点坐标是(2,1)，A的坐标是(5,3)，则B的坐标是（）。
A. (-1,-1)B. (4,1)C. (3,5)D. (1,4)10. 在平面直角坐标系xOy中，点A(7,3)关于y轴的对称点是（）。
A. (7,3)B. (3,7)C. (-7,3)D. (7,-3)二、填空题（每小题2分，共20分）11. 设√a = √2 + √3，则a等于填空。
12. 若x∈R 且√(x+1) = 2，则x的值为填空。
(完整版)英语八年级上册人教版测试题(第一单元)
人教版英语八年级上册第一单元测试题一、单项选择1.----- _________ did you do last night ?------ I played computer games in my bedroom.A. WhatB. HowC. WhyD. Where2. Most of the ______ ______ very hot .A. city ; isB. city ; areC. cities ; isD. cities ,was3. I spend 2 hours doing my homework and I need _____ to finish itA. the other hourB.another one hourC. one another hourD.an hour more4. -------_______ did you ________the summer vacation?------- It was terrible . I have too much homework to do .A.What; thinkB. How , likedC. How; think ofD. How ; feel about5.When it’s very hot , I _______ swimming in the pool .A. would likeB. wantC. feel likeD. decide6. The children are too young to look after ______.A. myselfB. themselvesC. theyD. yourself7. It’s only 19:00, we decide ______ homeA. goingB. go toC. not to goD. not to go to8. We had great fun ________the volleyball match between the Chinese team and Japanese team.A. watchB. watchedC. watchesD. watching9. How about ________a drink?A. haveB. to haveC. hadD. having10. The teacher made me ________at school because I didn’t finish my homework yesterday.A. stayB. stayingC. to stayD. stayed11. ------ Is _______ here ?-------Bob is not here.A. everyoneB. anyoneC.someoneD.nobody12. I had ________money for a taxi，so I walked home.A. noB. someC. anyD. a little13. I found an elephant ________across the river.A. walksB. walkedC. to walkD. walking14. I ________you yesterday afternoon，but you ________at home.A. call，aren’tB. am calling，aren’tC. called，wereD. called，weren’t15.A quarter ______, we felt very thirsty.A. lateB. afterC. laterD. behind16.There are ______ people ,so it’s very crowded (拥挤的) .A. quite a fewB. a lotC. a littleD. few17.Dogs are like ______to us and they are ______ to us.A. friends ; friendB. friends ; friendlyC. friendly ; friendsD. friend ; friendly18.We are _______ when we hear the ________ news -we don’t have classes tomorrow.A. exciting; excitedB.excited, excitedC. excited; excitingD. exciting;exciting19. The food there is ________.I’ll take you there next time.A. deliciousB. terribleC. awfulD. wonder20.We had great fun ________in the water last weekend.A. playB. playedC. playingD. to play21. The food is ________, but I have ________ to buy.A. enough expensive ; enough moneyB. cheap enough ; enough moneyC. expensive enough ; money enoughD. enough expensive ; money enough22.There isn’t ______ with your bicycle, you can ride home.A. something wrongB. anything wrongC.wrong somethingD. nothing wrong23. ---- I usually go there by train.------Why not _________ by boat ?A.to try goingB.try to goC.to try to goD.try going24.It is _____ to watch the _____ TV showsA. boring ; boringB. boring ;boredC. bored;boredD. bored;boring25.Mr.Zhu is not here. Where ____ he ______?A. did; goB. does; goesC. does; goD.will go26.Tom didn ’t pass the exam _______ someone told him wrong answers.A.because ofB. soC. becauseD. and27. We keep _______ and it keeps us ______A. to swim ; healthB. swimming; healthyC. to swim ; healthyD. swimming; health28. Tom doesn ’t wait _____ anybody and can ’t wait _____ home.A. / ; goB. /; to goC. for; to goD. for; go29.I was ____ tired that I ______ in class .A. too, sleepB. so , sleptC. too , sleptD. so; sleep30.There is _______ sheep on the farm.A. littleB. a littleC. fewD. a few.二、单词填空：写出下列动词的过去式1.stay2.go3.study4.have5.fly6.do7.rain8.make9.decide 10.eat三、完形填空Mr. and Mrs. Brown were teachers. They lived in a big _1_ .Last year they went to thecountryside for their summer vacation. They_ 2 _ it very much because it was a quite clean place. One day they went for a _ 3 in the morning and saw an old man. He sat in the __ 4 _ sun in front of his house. Mr.Brown went to him and aske d, “Do you like __5 in this quiet place?” The old man answered, “Yes, I __ _6 __ .”Mr. Brown asked, “What are the _ __7_ _ things about it?”The old man answered “Well, ___ 8___ here knows each other(互相) well. They often come to see me, and I often go to visit _ __9 __, too. Also, there are lots of children here.”Mr. Brown said, “That’s interesting. Well,___10__ are the bad things?”The old man thought for a short time and said, “Well, the same things.”() 1. A. city B. house C. country D. village C. played D. swam B. walk C. look D. say () 2. A. learned B. enjoyed () 3. A. talk () 4. A. cold () 6. A. can B. cloudy C. warm D. wet B. am C. do D. did B. cheap C. delicious D. well B. everyone C. no one D. something () 5. A. reading B. living C. sitting D. studying () 7. A. good () 8. A. nothing () 9. A. him B. you C. them D. themselves ( ) 10. A. what B. how C. who D. which四、阅读理解 AK im went to a beautiful beach on Monday with his friends . It was sunny and hot. So they had great fun playing in the water. In the afternoon, they went shopping. But the shops were crowded, they didn’t really enjoy it.The next day, it was rainy, so they went to a museum. It was boring. Kim found a small boy crying in the corner. The boy was lost. He helped the boy find his father. Kim was very happy. But he had no money for a taxi. So he had to walked back to the hotel. That made him feel very tired.On Wednesday, the weather was very cool. So they played tennis. They played all morning. It was really fun.根据短文内容，判断下列句子的正误，正确的用“T”，错误的用“F”。
人教版八年级数学上册单元测试题附答案全套
人教版八年级数学上册单元测试题附答案全套第一单元：有理数单项选择题1.下列数中，哪个是负有理数？a.0b. 5c. -3d. 22.哪组数中，有一个正有理数和一个负有理数？a.{-2, -3}b. {0, 1}c. {5, 7}d. {-4, 4}3.下列数中，哪些是无理数？a.√2b. -7c. 0.5d. 3/74.若 a、b 均为正有理数，且 a > b，那么 a < 0 的可能性是多少？a.0b. 1c. 无穷大d. 无法确定5.若 a 和 b 是互为倒数的数，且 a 是正有理数，则 b 是：a.正有理数b. 负有理数c. 正无理数d. 负无理数解答题1.请用画数轴的方法表示 -2.5 这个有理数。
数轴2.判断下列数中哪些是有理数，哪些是无理数：√3、0.75、-5.5、0、5/4–有理数：0.75、-5.5、0、5/4–无理数：√3答案单项选择题答案：1. c 2. b 3. a 4. a 5. d解答题答案： 1.2. 有理数：0.75、-5.5、0、5/4，无理数：√3第二单元：整式的加减单项选择题1.下列算式中，不是整式的是：a.3x + y + 5b. 2x² - 3x + 4c. 4√2 + 7d. 6x - 5y - 42.下列算式中，能简化为整式的是：a.3x - √2b. 6x - 2/xc. 5x + 1/2d. 4x - √33.若 a = 2x + 3y，b = 4x - 6y，则 a - b 的结果是：a.2x + 3yb. -2x - 9yc. 6x - 3yd. -6x + 9y解答题1.将算式 3xy + 7y² - 4yx - 5x²的项按 x 的次数从高到低写出来。
-5x² + (3xy - 4yx) + 7y²2.将算式 a = 2x + 3y 和 b = 4x - 6y 相加，并合并同类项。
人教版八年级物理上册单元测试卷(全套附答案)
人教版八年级物理上册单元测试卷(全套附答案)第一章声现象一、单项选择题（每题3分，共24分）1、在电视机的遥控器上，有以下几个按钮（图标），如下图，其中控制音量（响度）大小的是：（B）2、晚上当你在家复功课，准备期中考试时，邻居正在引吭高歌，对你的研究产生干扰，则下列措施中无效的是：（B）3、在一只玻璃杯中先后装入不同量的水，用细棒轻轻敲击，会听到不同频率的声音。
与此类似，当医生在给病人检查腹部是否有积水时，常会用手轻轻敲击患者腹部，细细倾听其发出的声音，此为“叩诊”。
这主要是根据什么来判断腹部是否有积水的？（B）4、在城市高架道路的某些路段可以看到两侧设有3m～4m高的透明板墙，如图1所示，安装这些板墙是为了（D）5、剧院及音乐厅，四周墙壁常挂呢绒帘幕，同时墙壁会做成凹凸不平的像蜂窝似的，这是为了（C）6、请你用物理学的准确用语来“翻译”生活用语，有利于我们把握事物的本质，“引吭高歌”和“低声细语”，这里的高与低指的是（B）7、我国已进行“XXX”五号载人航天飞船的试验，XXX乘坐宇宙飞船遨游太空，不久，“神舟”六号将会将更多的宇航员带上太空，宇航员在太空舱中可以直接对话，但在飞船外作业时，他们之间不能直接对话，必须借助电子通信设备进行交流，其原因（B）8、如图2天坛公园的回音壁是我国建筑史上的一大奇迹，回音壁应用的声学原理是（A）二、填空题9、如图3所示，用硬纸片把一个喇叭糊起来，做成一个“舞台”．台上小人在音乐声中翩翩起舞，这个现象说明声音可以通过固体传播。
10、图4、图5是两种声音的波形，从图可知：图4是低音的波形，理由是振动频率较低。
1.图3和图5的波形相同，这是因为它们表示的是同一个声音的波形。
图4和图5也是相同的波形，只是图5放大了一些以便更清晰地观察。
2.图6展示的是一个招牌，它的意思是标识出店铺的名称和类型。
3.在城市繁华路段旁常常竖立有噪声显示装置，如图7所示。
图中数字表示的是噪声的分贝值。
人教版八年级上册英语单元测试题全套(含答案)
人教版八年级上册英语单元测试题全套（含答案）人教版八年级英语上册单元测试题Unit 1第二卷笔试部分(95分)二、单项选择(每小题1分，计10分)26. —Jack, you swam very well. Who taught you?—Nobody. I taught ____.A. IB. meC. myselfD. mine27. —Helen, did you do ____ last weekend?—Yes, I visited my grandparents in the countryside.A. anything specialB. something specialC. special anythingD. special something28. —What can you see from the top of the mountain?—We can see a lake____ us.A. pastB. acrossC. alongD. below29. —What do you think of the movie?—It's____ for me. I got____ when I was in the cinema (电影院).A. boring; boringB. boring; boredC. bored; boringD. bored; bored30. —Why does little Tom's father not let him use the computer?—Because his father thinks Tom is not ____.A. old enoughB. enough oldC. young enoughD. enough young31. —Does Sally have many friends in her class?—No, she has____ because she is shy and quiet.A. a fewB. fewC. a littleD. less32. —You seem____ Faye Wong's songs very much.—That's true. She is my favorite singer.A. to practiceB. to enjoyC. practicingD. enjoying33. —Alex，____ helped you clean the classroom yesterday?—Yes, Mike did.A. someoneB. anyoneC. everyoneD. no one34. —Did you go to the mountain with your parents, Tom?—____. We went to the Science Museum.A. Yes, I didB. Yes, I wasC. No, I didn'tD. No, I wasn't35. —Did you go anywhere interesting this summer vacation?—____. I only stayed at home to study for the test.A. Of courseB. No problemC. Not reallyD. Sounds great三、完形填空(每小题1分，计10分)Some vacations are good but some are __36__. Here I'd like to share (分享) some good places to go on vacation with you.The first place is Niagara Falls. There are so __37__ things to do and see. I took a boat ride there. The boat went under the falls. It was exciting __38__ kind of scary. My dad was afraid of it, so he just stood nearby.When night __39__，the falls looked beautiful because of colorful lights (灯). The only bad thing was the expensive __40__. And it tasted bad!Another place is Washington, D. C. There we __41__ in a nice hotel. We took one tour bus (观光车) and saw __42__ great around the city. We also saw the White House. It __43__ very beautiful, but we didn't get into it.The __44__ one is Ocean City, Maryland. Although we only had a oneday trip, it was great. The beach was beautiful! We went for a long walk and took lots of photos. Then we went to many different __45__ there. Unluckily (不幸地), my parents only bought me a hat!36. A. bad B. cheap C. short D. interesting37. A. few B. little C. many D. much38. A. or B. but C. so D. as39. A. went B. came C. left D. got40. A. food B. price C. car D. weather41. A. reached B. took C. stayed D. had42. A. everything B. anyone C. nobody D. nothing43. A. saw B. felt C. looked D. sounded44. A. first B. second C. only D. last45. A. zoos B. shops C. parks D. hotels四、阅读理解(每小题2分，计30分)A. TianjinB. BeijingC. NanjingD. Shanghai47. What was the weather like on Saturday?A. Fine.B. Cool.C. Rainy.D. Snowy.48. What did the writer have for lunch on Sunday?A. Hamburgers and salad.B. Some fruit and vegetables.C. An egg and an apple.D. Noodles, chicken and ice cream.49. They visited the Great Wall on____.A. ThursdayB. FridayC. SaturdayD. Sunday50. Which of the following is TRUE?A. The writer didn't go swimming on Friday afternoon.B. The writer watched an exciting movie on Sunday evening.C. Although it was fine on Sunday, they stayed in the camp.D. The writer and his friends had fun in Beijing.BI'm Sharon. One of my favorite countries to go on vacation is China. After falling in love with the country on the business (生意) trip two years ago, I took my children to China last summer.We visited three cities, but Xi'an was the most interesting one. This old city is amazing and our children loved to ride bicycles on the famous City Wall. The wall is about 14 kilometers long and it has a very long history. Visitors can rent bicycles there and it is very cheap. And on each corner (街角) you can take a rest and enjoy a bottle of cold water, because it was very hot when we visited it in July. Trust (相信) me, your children will love the trip!…………………Comments (评论)…………………Reply (回复)TinaAug 31, 2019Hi, Sharon! I also think China is a great country to visit. We just came back from Beijing and we had great fun. Next time, we'll go to Xi'an on vacation. Can you tell me some other interesting activities in Xi'an?ReplySharonSept 1, 2019Hi, Tina! I'm glad that you love China, too. I think you can try some Chinese food in Xi'an. There are also a lot of places of interest in Xi'an. I'm sure you'll love them!51. When did Sharon go to China for a business trip?A. In 2013.B. In 2015.C. In 2017.D. In 2019.52. What does the underlined word“rent” mean in Chinese?A. 购买B. 修理C. 组装D. 租用53. Which is NOT true about the City Wall?A. It's long.B. It's new.C. It's in Xi'an.D. It's famous.54. Sharon told Tina to____ in Xi'an.A. go shoppingB. ride bicyclesC. climb the mountainD. visit its places of interest55. Where can we read it?A. On the Internet.B. In a diary.C. In an e-mail.D. In a storybook.CDo you go shopping and buy things on sale？Here are some tips to help you get the most and the best goods(货物) with your money.Shop around.A “sale”price isn't always the “best”price. Some shops may put a sale price on the goods that you want for a limited(有限的) time. Other shops may have a sale price on the goods every day.Read the sale ads.Some ads may say “quantities limited”，so make sure the shop has the goods you want before you go in.Think of your time and travel costs.If something is on sale but the shop is in another town，think about your time and the costs of transportation.Go online.If you decide to buy something from an online shop，keep the delivery(递送) costs in mind.Think about bargain goods.The shops sell these things to make you buy more goods. For example, “Buy One, Get One Free”. If you don't really want or need the thing，it's not a good idea.56. Why should we read the sale ads when we buy things on sale?A. Because you have to make sure the shop has the goods you want.B. Because the sale price isn't always the best price.C. Because you have to think of your time and travel costs.D. Because you need to think of the delivery costs as well.57. What's the Chinese meaning of the underlined word “quantities”？A. 数量B. 速度C. 交通D. 力量58. The passage tells us ____ tips to help us buy the most and the best goods.A. 3B. 4C. 5D. 659. Which of the following is NOT true according to the passage?A. You shouldn't buy as many bargain goods as you can.B. The “sale” price is always the “best” price.C. Some shops may put a sale price on the goods every day.D. It's not always good to go a long way to buy something cheap.60. The best title for the passage is “____”.A. How to ShopB. Online ShoppingC. Go ShoppingD. Sale Shopping五、阅读还原(每小题2分，计10分)Deborah and Paul Evans enjoyed life. They loved nature and outdoor activities，especially hiking(远足). 61. ________ When they went hiking, they always took their dog Buddy. Buddy was a large sheepdog. He loved Deborah and Paul. 62. ________One day during the summer vacation, they decided to hike to South Mountain. Before starting their trip, they saw a piece of news on TV. 63. “________We advise(建议)hikers to be away fromSouth Mountain，”said the news reporter. “If so, how about going there another day？”Deborah said in a small voice. “Don't worry. I'm sure we'll be safe，”said Paul. “64. ________”In the end, they set off with Buddy.At about 5 pm, Deborah, Paul and Buddy made it to the top of the mountain. Soon after, they heard a big noise. A mountain lion did jump out. It ran towards Deborah. 65. ________He scared the lion away. Deborah and Paul were very thankful to Buddy. How lucky they were to have such a brave dog!六、补全对话(根据对话内容，从方框中选择恰当的选项使对话内容完整。
人教版八年级上册英语Unit1 单元测试卷(含答案)精选全文
精选全文完整版（可编辑修改）八年级上册英语Unit1测试卷一、单项选择(每小题1分，满分10分)( )1.- You didn't go to Shanghai last summer holidays, did you?- .A. Yes, I didn't B, No, you didn't C. No, you did D. No, I didn't( )2.(长春中考)I bought for my mother on Mother's Day this year.A.special anythingB. anything specialC. special somethingD. something special( )3.(广州中考) Hurry up，kids! The school bus is coming. We have time left.A.fewB. a fewC. littleD. a little( )4. Oh, I forgot my ruler with me. Can I use yours?A.bringB. broughtC. to bringD. bringing( )5.Helen is new here,so we know about her.A.nothingB. somethingC. anythingD. everything( )6.- Li Lei, National Day is coming. Where will you go?-I decide to Mount Tai.A.goB. will goC.to goD. going( )7. The cookies good. Can I have some more?A.tasteB.smellsC. feelD.sound ( )8. This watch is ,but I don't have .A. enough beautiful; money enoughB.beautifully enough; money enoughC. beautiful enough; enough moneyD. enough beautiful; enough money ( )9.- Why are you late for school today?-I’m sorry I didn’t catch the early bus and I had to the next one.A. wait forB. ask forC.care for( )10.-Where did you go last weekend?-I to the Great Wall.A.goB. wentC. will goD. have gone二、完形填空(每小题2分，满分20分)The summer vacation is the best time for students. They can go outdoors and have fun. They can go to big cities to 11 ,or go to the countryside to enjoy the beauty of 12 .Peter is an American middle school student and he loves 13 very much. He always travels in his country.This summer vacation he wants to do 14 . He is interested in Chinese history, 15he is flying to Beijing and Xi'an for the summer vacation. He is leaving on July 12th and 16 New York on the last day of the month. He plans 17 a fantastic vacation. During the 18 ,he is visiting places of interest and going shopping. At night, he is 19 to enjoy the night views. He is sure he will have a 20 time( )11. A. watch TV B. exercise C. go sightseeing D. go fishing( )12. A. buildings B.city C. farm D. nature( )13. A. travelling B. shopping C. fishing D. hiking( )14. A. something difference B. different somethingC. something differentD. difference something( )15. A. because B.so C. but D.although( )16. A. getting back to B.get backC. getting hackD. gets back to( )17. A. having B. to have C. to having D. had( )18. A. weekend B. week C.night D. day( )19. A. take a walk B. taking walks C. takes a walk D. take walks( )20. A. great B. well C.terrible D. boring三、阅读理解(每小题2分，分20分)AWhat do we do when we go camping? First, we make n plan. We take food, clothing, a knife, and things for cooking and eating. We take things to keep us away from insects and the sun.Then we put everything into the car and we drive to the woods. We look for a place for campers (露营者) and we look for a good place for our tent(帐篷). The place should have a lot of moving air.This will keep some insects away. High land with water on both sides of it is good. Then we put up our tent. We put everything into the tent,and we are ready for fun. We can swim in the lake, walk in the woods, climb a mountain, row a boat, or go fishing.In the evening we come back to the tent, and we build a big fire because it can keep the insects away. We sit around the fire and talk. We may tell interesting stories or we may sing songs.At night we lie down on the grass. We can look up at the stars. It is a busy day, so we try to go to sleep early.Everything is dark. Everything is quiet. We hope we won’t hear music from the radio in the next tent. We hope it won’t rain.( )21. Before going camping we should first .A. make a planB. take some foodC.take things to keep us warmD. lake something for cooking and eating ( )22. We go to camp .A.by busB. by carC. by bikeD. on foot( )23. Campers can take part in activities.A. one or twoB. only a fewC.manyD. two or three( )24. In the evening we build a fire because .A. it is cold at nightB. it can keep us warmC. it can keep the insects awayD. it is dark and quiet( )25. Campers like to at night.A. hear music from the radioB. go to sleep earlyC. have rainD. be busyBThe westerners have more vacation days than us.Some people like to stay at home during their vacation. They work in the garden, visit their friends read books or watch television. Many families take their lunch to a park or somewhere far from the city. They like to eat under some trees or near a nice lake. If they live near the sea. They often go to the seaside. There they can fish, swim or enjoy the sun.The westerners like travelling. They think travelling and outdoor activities are the parts of their lives. They work hard to save money, but their main purpose(目的) is to travel.Most western students often make use of their vacation to camp. There are thousands of camp bases(基地)in western countries. They can swim, go fishing, attend lectures, and take part in many other recreational (娱乐性的) activities there. It can help them wrest from the secrets of nature，train(训练) their viability(生存能力)，and teach them how to be self-reliant(自立).( )26. Some westerners like to at home during their vacation.A. clean their roomsB. cook their mealsC. work in the garden and watch TVD. go fishing( )27. Many families often take their lunch out and have it .A. under some treesB. near the cityC. near the houseD. in the restaurants(餐馆)( )28. is very important for the westerners.A. Working hardB. TravellingC. Saving moneyD.Going camping ( )29. What does the underlined phrase "wrest from"mean here?A.取得B.保守C.认识D.探索( ) 30.The passage mainly tells us .A.how the westerners spend their vacationB. the westerners have more vacation days than usC. different views on vacation between the westerners and the easternersD. how to be self-reliant四、词语运用(每小题1分，满分10分)根据语篇内容，用方框中所给词的正确形式填空，使短文通顺、连质。
人教版八年级上册英语第一单元Unit1测试卷(含答案)
人教版八年级上册英语第一单元Unit1测试卷（含答案）第一部分选择题(共50分)一、阅读理解(共20小题，每小题2分；满分40分)第一节阅读下面语言材料，从每题所给的A、B、C、D四个选项中选出最佳选项。
ATravel InformationMount MangBeihai Park Dongting LakeYizhangXicheng District Yueyang City1. You can visit a famous forest park in ____.A. Xicheng DistrictB. Yueyang CityC. Yizhang CountyD. Xinhua District2. If you don't know how to go to Dongting Lake, you can call ____ to getinformation.A. 3668899B. 3726868C. 3329666D. 38866993. If you and your parents visit Beihai Park, you need to pay ____.A. ￥120B. ￥150C. ￥360D. ￥4504. In which part of the magazine can we read the text?A. Travel.B. Art.C. Technology.D. History.BWelcome to Hainan. It is in the south of China. The map of Hainan looks like a big pear. It is a beautiful island (岛). Every year many people come to visit it. There are lots of things to see and do here.◆The capital cityIn Haikou, the capital city of Hainan, you can find many special houses. They are about 100 years old. The ground floor (底层) of the house sets back into (缩进) the building, so it can stay out of (避开) both rain and sunshine.◆Food and teaWould you like to eat Hainan chicken rice? People cook the chicken with vegetables. It is really fresh. People there also enjoy having tea in the morning, afternoon and evening. Usually they eat candies with their tea. They call it Laoba Tea.◆Special fruitPeople in Hainan like coconuts (椰子). They use them to make juice, ice cream and cakes. They also use coconuts to make some works of art.5. What does the writer think the map of Hainan looks like?A. A big apple.B. A long banana.C. A big pear.D. A small coconut.6. The ground floor of the house in Haikou sets back into the building to ____.A. get lots of rain and sunshineB. keep away from rain and sunshineC. make the house look differentD. give people more room to live in7. What do people also eat when they drink Laoba Tea?8. Which of the following is NOT true about Hainan?A. Hainan is a very beautiful island in China.B. There're a lot of special houses in Haikou.C. People in Hainan use coconuts in many ways.D. People in Hainan drink Laoba Tea once a day.CDo you know anything about the holiday camps in Hong Kong? Years ago, the students in Hong Kong liked to take part in an English holiday camp during their holidays. They were very young, but their parents didn't go with them.Now they still enjoy taking part in many kinds of holiday camps. And they never go with their parents. Many parents hope they can learn a lot about life. And they want their children to learn some knowledge about living skills, science, reading, writing…The most important thing for them is to learn how to look after themselves.Holiday camps in Hong Kong don't cost much money. Most of the families can send their children there. Holiday camps help make their studies better and their bodies stronger. And the government(政府) never charges (收费) for them. So every year a lot of children in Hong Kong take part in them.People think that the students in Hong Kong know a lot about many things. Maybe it has something to do with those holiday camps.9. The children in Hong Kong might(也许) take part in holiday camps with ____.A. their teachersB. their parentsC. their brothers and sistersD. other children10. The children CANNOT learn a lot about ____ in holiday camps.A. scienceB. living skillsC. music or artD. reading or writing11. The word “them” in Paragraph 3 refers to(指的是) ____.A. studentsB. childrenC. parentsD. holiday camps12. Which is the best title for the passage?A. Holiday camps in Hong KongB. Children in Hong KongC. Parents in Hong KongD. The Hong Kong governmentDI had a summer camp with my classmates last year.Early in the morning we met at the bus station. After saying goodbye to our parents, we got on the buses. It took us more than two hours to arrive at the campground.We got off the buses laughing and shouting happily. We jumped and ran all over the place. It was the first time that we had been away from parents. Some of us started to feel homesick (想家的). However, when the night party and dances began, the homesickness was gone.The next day, everybody rushed to the boating class, hoping to be ahead. At first, my friends and I worked hard, but the boat wouldn't listen to us and kept going round and round. Then the teacher taught us how to work together. After many tries, we did much better.The swimming class was my favorite. It was the hottest time of a day and the best time to stay in the cool water. The swimming teacher was a funny man, and during the class he often made us laugh happily.During the week, I learned a lot of new things and made many new friends. I also learned how to take care of myself.13. How did they get to the campground?A. By train.B. By bike.C. On foot.D. By bus.14. How did they feel when they arrived at the campground?A. Sorry.B. Upset.C. Happy.D. Sad.15. What was the writer's favorite?A. The swimming class.B. The boating class.C. Jumping.D. Running.16. How is the text organized (组织)？(①＝Paragraph 1，②＝Paragraph 2…)第二节阅读短文，从方框内所给的选项中选出可以填入空白处的最佳选项，其中有一个多余的选项。
人教版初中英语八年级上册Units1-4 各单元测试卷及参考答案
人教版初中英语八年级上册Units1-4单元测试卷八年级英语上册Unit 1单元测试卷一、单项选择（共20小题；共20分）（）1.After dinner, he stayed at home and played violin. A. the, /, the B. /, /, the C. /, the, / D. a, the, the（）2. I don't have a present for my friend. What if else brings a present?A. anybodyB. nobodyC. everyoneD. none（）3. I feel my stomach terrible. I think I ate at lunch time.A. something badB. something goodC. bad somethingD. good something（）4. My little girl saw outside. Shall we go and have a look?A. strange somethingB. something strangeC. anything strangeD. strange nothing（）5. There are fifty students in our class. 30% of them are girls. _____ of them are boys.A. FewB. A fewC. AnyD. Most（）6. There four teachers and a student in the office.A. haveB. hasC. isD. are（）7.--- Didn't I tell you my new address?---A. Yes, you didn't.B. No, you didn't.C. No, you did.D. Yes, you told.（）8.Where your uncle ten years ago?A. is; workingB. does; workC. did; workD. do; work （）9.The girl is to go to school.A. enough youngB. enough oldC. old enoughD. young enough（）10.--- You'd better keep the secret to , Millie and Lily.--- OK, Amy. You should keep it for , too?A. yourself; youB. myself; yourselfC. you; ourselvesD. yourselves; us（）11. When I swim in the river, I _____ I’m a fish.A. look likeB. sound likeC. feel likeD. am like（）12. ---Do you enjoy traveling by air?--- No, it’s expensive.A. too muchB. more muchC. muchD. much too （）13. Kate ____ her uncle last week. She did her homework.A. doesn’t visitB.don’t visitC. didn’t visitD. visited （）14. ---______? ---She is a nurse.A.Where does your mother do?B. What does your mother do?C. What is your mother doing?D. Who is your mother?（）15. We have worked for three hours. Now let’s stop a rest.A. hadB. haveC. to haveD. having（）16. Near here is a beautiful park _____ a big lake in it.A. ofB. withC. onD. from（）17. One of his friends ______ from the United Kingdom.A. comeB. comesC. comingD. to come（）18.—Who helped you clean the bedroom yesterday, Kitty?—. I cleaned it all by myself.A. NobodyB. EverybodyC. SomebodyD. Anybody（）19. The Greens arrived New York a sunny day.A. in; inB. at; inC. at; onD. in; on（）20. The Great Wall is famous lots of visitors all over the world come to visit it every year.A. so; thatB. such; thatC. enough; thatD. very; that二、完形填空(20分)This week, I asked my classmates about their vacations.Here are some of their answers.Linda1to Sydney, Australia. The2was sunnyand the people3friendly to her. She went there by4and the air trip was relaxing. She went to Sydney Opera House.It’s wonderful. She had a5vacation.Alice went6her aunt. At first the weather was7and wet, she had to stay at the house. She watched TV8the TVshows were boring. Later on the weather got better. So she wentshopping with her aunt. The shop assistants were all9and kind.She bought something nice for herself.Peter stayed at home. First he did his homework. It was a little difficult. Then he10 computer games. They were interesting. He thought his vacation was OK.（）1. A. go B. goes C. went D. going （）2. A. place B. weather C. museum D. beach（）3. A. were B. was C. is D. are（）4. A. bike B. train C. bus D. plane（）5. A. bad B. terrible C. great D. boring（）6. A. to visit B. visiting C. visited D. visits（）7. A. sunny B. rainy C. windy D. wind（）8. A. but B. and C. or D. with（）9. A. friend B. impolite C. unfriendly D. friendly（）10. A. play B. played C. listened D. wrote三、阅读理解（每小题2分，共30分）AVisit Swansea ZooCome and see the Indian elephants and the new tigers from America.The bears are waiting to meet you, and the monkeys fro m China are waiting to throw things at you. The lovely dogs from Australia are waiting to laugh at you, and the giraffes from Zambia are waiting to look down on you.Tickets Opening timeGrown-ups: $2.00 9:00 a.m.— 4:00 p.m.Children: Over 12 $1.00 except(除了)FridayUnder 12:Free 10:00 a.m.—3:00 p.m.Keep the zoo clean!Do not touch, give food or go near the animals.（）1. How many kinds of animals are talked about in the passage?A. Four.B. Five.C. Six.D. Seven.（）2. Now Mr. Smith is in the zoo with his two sons, one aged 14 and the other 10, how much are the tickets together?A. $ 4.00.B. $ 2.00.C. $ 3.00.D. $ 1.00.（）3. Which of the following is the visiting time?A. 8:30 a.m. Monday.B. 9:30a.m. Friday.C. 3:00 p.m. Sunday.D. 5.00 p.m. Tuesday.（）4. From the passage we can guess the animal “g i raffe” must be very _________.A. fatB. longC. strongD. tall（）5. Which of the following can we do in the zoo?A. To give some food to the fish.B. To touch the monkey on the head.C. To throw things everywhere.D. To take a few nice photos.BOur family went to the Yellow Stone National Park last summer vacation. Our son, Tom, wanted to see bears there. And what an experience(经历)it was!When we got there, we put up our tent and went to explore(探险). As we returned, we heard our daughter Susie cry out. And then we saw a bear go into our camp.Tom wanted his father to chase(追赶)him away. His father said, “No. It’s dangerous to chase a bear. And don’t let him chase you. ”Susie said, “What shall we do? Maybe we should climb a tree. ”Tom said, “No. We have to get him out of there. He might go to sleep in our tent. ”“Maybe we could make him leave if we put some honey outside for him to eat. ”Susie suggested. Then I said, “How are you going to get the honey? It’s in the tent. ”We watched the bear go into the tent and heard him upset(翻倒; 弄翻)everything inside. “It’s foolish for us to try to chase him away. ”said my husband, “Leave him alone and wait for him to come out. ”We waited, but the bear stayed inside. We had to sleep in the car that night.（）6. Tom wanted to go to Yellow Stone National Park to see.A. tigersB. wolvesC. bearsD. birds（）7. Where did the family go on vacation last summer?A. They went to the Central Park.B. They went to Yellow Stone National Park.C. They went to a zoo.D. They just stayed at home.（）8. Who do you think saw the bear first?A. Susie.B. Tom.C. The writer.D. The writer’s husband.（）9. What did they do when they saw a bear go into their tent?A. They chased the bear away.B. They stayed outside the tent and did nothing.C. They climbed up a tree.D. They put some honey outside for the bear to eat.（）10. What did the bear do in the tent?A. He ate the honey.B. He chased the people away.C. He drank the beer.D. He turned things upside down.CIt was the last day of school. Peter was happy. He liked school, but he liked summer vacation better.He was having a pool party. All his friends were coming. He could hardly(几乎不) wait. After school, he rushed home. He wanted the party to be just right. Mum made sandwiches. She also had a big jug of juice. "Peter, make sure your room is clean," she said. Peter nodded(点头). Soon the doorbell rang. "Let me answer it!" said Peter.Alan and James were there. They were ready to swim. "Hi!" said Peter. "We are almost ready to start. Come in." The two boys came in. They played a game until(直到) the other three came. Then they played in the pool.The pool deck was hot. The water was cold. They had great fun playing in the water. Mum put food and drinks on the table. It was near the pool. She took photos for them. They had a good time.（）11. Peter was having a .A. picnicB. classC. birthday partyD. pool party（）12. How many friends came to the party?A. 6.B. 5.C. 4.D. 7.（）13. What did they drink?A. Juice.B. Cola.C. Soda.D. Water.（）14. What did Mum do during the party?A. She made sandwiches.B. She made a jug of juice.C. She took photos for them.D. She cleaned their rooms. （）15. What is the best title for this story?A. Peter's Friends.B. Peter's Home.C. Peter's Pool.D. Peter's Party.DDo you live in a city? Do you know how cities began? Long long ago, the world had only a few thousand people. These people moved from one place to another. They moved over the land, hunting animals for food.No one knows how or when these people learned about growing food. But when they did, their lives changed. They did not have to move houses any more.They could stay in one place and grow it. People began to live near each other, so the first village grew. Many people came to work in the villages, and these villages became larger and larger.Then people had machines, life in the villages changed again. People built factories. More and more people lived near the factories. So the villages grew into cities. Some of them grew very big.Today, it's strange that some people are moving back to small villages. Can you tell me why?根据短文内容，完成下列小题。
新人教版英语八年级上册单元过关试题及答案（全册）
人教版英语八年级上册Unit1测试限时:60分钟满分：100分一、单项选择（每小题1.5分，共15分）1.It was so noisy that I couldn't hear speak.A.myselfB.ourselvesC.yourselfD.yourselves2.Sun Yang is well known to the world his winning in2017Swimming Championships（丰帛标赛）.A.becauseB.sinceC.asD.because of3.The old man never speaks English,but he knows.Englishwords.A.a little C.littleB.quite a few D.quite a lot4.My grandparents decided in the countryside,because it isquiet there.A.livingB.to liveC.liveD.lived5.1think the job is..It always makes me feelA.boring;boredB.boring;boringC.bored;boringD.bored;bored6.—Have you read today's newspaper?一Yes.It's really boring.There isA.something newB.nothing newC.anything newD.everything new7.—angry Kangkang looks!What happened?—He found his mother reading his diary when he returned home yesterday.A.HowB.WhatC.What anD.What a8.一Can you understand me,Tony?一Yes,madam.You speak that I can follow you.A.enough clearB.clear enoughC.so clearD.so clearly9.Please your parents or friends if you are lost in the shoppingcenter.A.get upB.keep offC.call offD.wait for10.一What do you think of the life in the country?A.WonderfulB.No problemC.Good luckD.That's right二、完形填空（每小题1.5分，共15分）It happened on the day when school started after a two-month summer holiday.Shankar11to wake up at 6am.He wanted to12more about his visit to his grandparents'home.He specially remembered his two13to the Bandipur National Park.It was a forest full of14!Shankar had been lucky to see the Asian elephants,the Mugger crocodiles and the tigers.He wanted"next time,,to be now!But first,his mother and then his father kept talking in his ear till he had to15.However,once Shankar saw his friends in the school bus,he felt16to be back to school.When Shankar returned home in the afternoon,he saw his mother standing at the door."Shankar,I wanted to tell you myself.Your grandpa had a bad17while driving.I think it is time to be back to the 18and see him.You and I shall19right now."Now Shankar has another20.He wants his grandpa to be well soon,and he could go back to school soon.11.A.wanted B.agreed C.planned D.refused12.A.think B.find C.dream D.remember13.A.places B.trips C.memories D.times14.A.magic B.plants C.danger D.regret15.A.go off B.stand upC.get upD.fall asleep16.A.worried B.happy C.lucky D.tired17.A.problem B.health C.accident D.day18.A.countryside B.city C.park D.forest19.A.finish B.call C.achieve D.start20.A.plan B.wish C.hobby D.idea三、阅读理解（每小题3分，共15分）Nobody likes staying at home on vacation一when the weather is fine. Last August we decided to spend the day in the countryside.The problem was that hundreds of other people had the same idea.We moved out of the city slowly behind a long line of cars,but in the end we came to a quiet country road.After some time,we stopped at a farm near the town. We had carried enough food with us,so we got it out of the car and put it on the grass.Now everything was ready,so we sat down near a road at the foot of the hill.It was very quiet in the cool grass until we heard bells ringing at the top of the hill.What we saw made us pick up（捡起）our things and run back to the car.There were about two hundred sheep coming to us along the road.21.From the passage we know the writer likes on vacation.A.staying at homeB.spending a holiday in the open airC.watching sheepD.playing with friends22.They went there.A.by busB.by carC.by trainD.on foot23.Which of the following is not true?A.Few people wanted to spend the vacation in the countryside thatday.B.They spent their vacation in the countryside.C.They had much food to eat.D.They had their food on the grass.24.We can infer（推断）from the passage that.A.the weather was very fine that dayB.the traffic（交通）was not busyC.they found a noisy placeD.they didn't pick up their food and ran away25.What happened when the sheep were coming to them?A.They stayed there.B.They called for the farmers.C.They left the food there.D.They picked up their food and ran back to the car.四、词汇运用（每小题1分，共10分）A）根据句意及所给提示，填写恰当的单词26.There are some new（建筑物）in the big town.27.You can enjoy many（活动）such as swimming and tennis inthe club.28.These（商人）all come from the UK.29.Hello,everyone.Please introduce（你们自己）before yourspeeches.30.Frank,take off your（湿白勺）jacket so that you don't catch acold.B）用所给单词的适当形式填空31.Tony likes reading books about cars but he（like）readingbooks about animals.32.Yesterday we（wait）an hour for our friends at the station.33.Can you tell me the（different）between the two pictures?34.1have two tickets for the（excite）movie.It can make ushappy.35.It was an（enjoy）trip.五、任务型阅读（每小题3分，共15分）Nowadays bike-sharing has been very popular in China.Mobike（摩拜单车）is one of the market leaders in the bike-sharing business.What is Mobike?Mobike started in January,2015.People in many cities,such as Beijing,Guangzhou,Jinan and Shanghai,have a chance of using the app（应用软件）.The number of Mobike app users is larger than that of other bike-sharing app users.Who uses Mobike?According to a survey,53.23%of the Mobike users are men,while 46.77%are women.Mobike not only is popular with young people,but also wins the hearts of the old.It shows that retired（退休白勺）men traveled the longest distance（距离）on shared bikes.Why do people use Mobike?Chinese people use Mobike for different ers can rent（租彳昔）a bike at a low price,usually about one yuan an hour.It also offers people a better choice for short journeys in cities,especially when people can't find a bus or the underground to take.What's more,it's helpful in traffic.And the most important is that it can help improve the environment.阅读短文，完成下列各题36.When did Mobike start?37.True or False.（“T”代表正确，“F”代表错误）According to the passage,the Mobike app has the largest number of users among all the bike-sharing apps.（）38.Translate the underlined sentence into Chinese.39.Why do Chinese people use Mobike?（At least2reasons.）40.Give a proper title（题目）to the passage.六、书面表达（30分）以My Vacation to为题，写一篇短文描述自己的一个假期。
人教版八年级数学上册单元测试题全套(含答案)
人教版八年级数学上册单元测试题全套（含答案）（含期中期末试题，共8套）第十一章三角形得分________卷后分________评价________一、选择题(每小题3分，共30分)1．下列图形为正多边形的是(D)2．下列各组数中，能构成一个三角形的边长的是(D)A．1，3，5 B．2，2，6C．6，8，14 D．a＋2，a＋3，a＋5(a＞0)3．如图，图中∠1的大小等于(D)A．40°B．50°C．60°D．70°第3题图第5题图第6题图第8题图第10题图4．若一个正多边形的内角和为720°，则这个正多边形的每一个内角是(D)A．60°B．90°C．108°D．120°5．如图，BD平分∠ABC，CD⊥BD，垂足为D，∠C＝55°，则∠ABC的度数是(D) A．35°B．55°C．60°D．70°6．如图，一把直尺的边缘AB经过一块三角板DCB的直角顶点B，交斜边CD于点A，直尺的边缘EF分别交CD，BD于点E，F，若∠D＝60°，∠ABC＝20°，则∠1的度数为(C)A．25°B．40°C．50°D．80°7．等腰三角形的一边长等于4，另一边长等于10，则它的周长是(B)A．18 B．24 C．18或24 D．148．如图，在△ABC中，∠CAB＝52°，∠ABC＝74°，AD⊥BC于点D，BE⊥AC 于点E，AD与BE交于点F，则∠AFB的度数是(A)A．126°B．120°C．116°D．110°9．上午9时，一艘船从A处出发以每小时20海里的速度向正北方向航行，11时到达B处．若在A处测得灯塔C在北偏西34°方向上，且∠ACB＝32∠BAC，则在B处测得灯塔C应在(C)A．北偏西68°方向上B．南偏西85°方向上C．北偏西85°方向上D．南偏西68°方向上10．已知△ABC的面积为1，延长AB至点D，使BD＝AB，延长BC至点E，使CE ＝2BC，延长CA至点F使AF＝3AC，则三角形DEF的面积为(D)A．9 B．15 C．17 D．18点拨：连接AE和CD，∵BD＝AB，∴S△ABC＝S△BCD＝1，S△ACD＝1＋1＝2，∵AF＝3AC，∴FC＝4AC，∴S△FCD＝4S△ACD＝4×2＝8，同理可以求得：S△ACE＝2S△ABC＝2，则S △FCE＝4S△ACE＝4×2＝8；S△DCE＝2S△BCD＝2×1＝2；∴S△DEF＝S△FCD＋S△FCE＋S△DCE＝8＋8＋2＝18.二、填空题(每小题3分，共24分)11．空调安装在墙上时，一般都会像如图所示的方法固定在墙上，这种方法应用的数学知识是三角形的稳定性．第11题图第12题图第14题图12．如图，∠D＝30°，∠O＝50°，∠C＝35°，则∠AEC等于__65°__．13．如果将长度为3a，4a，14的三条线段首尾顺次相接可以得到一个三角形，则a的取值范围是__2＜a＜14__.14．(枣庄中考)用一条宽度相等的足够长的纸条打一个结(如图①所示)，然后轻轻拉紧、压平就可以得到如图②所示的正五边形ABCDE，那么图中的∠BAC＝36度．15．如图，在四边形ABCD中，AD⊥AB于点A，∠C＝110°，它的一个外角∠ADE ＝60°，则∠B的大小是__40°__．第15题图第16题图第17题图第18题图16．(江西中考)如图，在△ABC 中，点D 是BC 上的点，∠BAD ＝∠ABC ＝40°，将△ABD 沿着AD 翻折得到△AED ，则∠CDE ＝20°．17．如图，在△ABC 中，∠A ＝70°，∠B ＝50°，点D ，E 分别为AB ，AC 上的点，沿DE 折叠，使点A 落在BC 边上点F 处，若△EFC 为直角三角形，则∠BDF 的度数为__110°或50°__．18．如图，在△ABC 中，∠ABC 的平分线与△ABC 的外角∠ACN 的平分线交于点E ，EC 的延长线交△ABC 的另一外角∠MBC 的平分线于点D ，若∠D 比∠E 大10°，则∠A 的度数是__80°__．三、解答题(共66分)19．(6分)如图，在△ABC 中，AD ，AE 分别是边BC 上的中线和高，AE ＝3 cm ，S △ABC ＝12 cm 2.求BC 和DC 的长．解：∵AE ⊥BC ，S △ABC ＝12 cm 2，AE ＝3 cm ，∴S △ABC ＝12 BC·AE ，即12＝12 ×3BC ，∴BC ＝8 cm.又∵AD 为BC 边上的中线，∴DC ＝12 BC ＝4 cm20．(7分)如图，在△ABC 中，BE ⊥AC ，BC ＝5 cm ，AC ＝8 cm ，BE ＝3 cm.(1)求△ABC 的面积；(2)画出△ABC 中的BC 边上的高AD ，并求出AD 的值．解：(1)∵ BE ⊥AC ，∴ S △ABC ＝12 ×AC ×BE ＝12 ×8×3＝12(cm 2) (2)如图所示，线段AD 就是所求作的高，∵S △ABC ＝12 ×BC ×AD ＝12(cm 2)，∴12 ×5×AD ＝12，∴AD ＝245 (cm)21．(8分)根据条件求多边形的边数：(1)一个多边形每个内角都相等，且都等于135°，则这个多边形的边数为__8__；(2)一个多边形的内角和与某一个外角的度数总和为1 350°，求这个多边形的边数． 解：(2)设这个多边形的边数为n ，这个外角的度数为x °，则0<x <180.依题意，有(n －2)·180＋x ＝1 350.∴n ＝1 350－x 180 ＋2＝9＋90－x 180. ∵n 为正整数，∴90－x 必为180的倍数．又∵0<x <180，∴90－x ＝0，即x ＝90.∴n ＝9.故这个多边形的边数为922．(9分)如图，在△ABC 中(AB ＞BC )，AC ＝2BC ，BC 边上的中线AD 把△ABC 的周长分成60和40两部分，求AC 和AB 的长．解：∵AD 是BC 边上的中线，AC ＝2BC ，∴BD ＝CD ，设BD ＝CD ＝x ，AB ＝y ，则AC ＝4x.分为两种情况：①AC ＋CD ＝60，AB ＋BD ＝40，则4x ＋x ＝60，x ＋y ＝40，解得x ＝12，y ＝28，即AC ＝4x ＝48，AB ＝28；②AC ＋CD ＝40，AB ＋BD ＝60，则4x ＋x ＝40，x ＋y ＝60，解得x ＝8，y ＝52，即AC ＝4x ＝32，AB ＝52，BC ＝2x ＝16，此时不符合三角形三边关系定理．综上所述，AC ＝48，AB ＝2823．(10分)如图，在△ABC 中，∠A ＝∠ABC ，直线EF 分别交△ABC 的边AB ，AC 和CB 的延长线于点D ，E ，F .(1)求证：∠F ＋∠FEC ＝2∠A ；(2)过点B 作BM ∥AC 交FD 于点M ，试探究∠MBC 与∠F ＋∠FEC 的数量关系，并证明你的结论．解：(1)证明：∵∠A ＋∠ABC ＋∠C ＝180°，∠A ＝∠ABC ，∴∠C ＝180°－2∠A.∵∠F ＋∠FEC ＋∠C ＝180°，∴∠F ＋∠FEC ＝2∠A(2)∠MBC ＝∠F ＋∠FEC.证明：∵BM ∥AC ，∴∠FMB ＝∠FEC.又∵∠MBC ＝∠F ＋∠FMB ，∴∠MBC ＝∠F ＋∠FEC24.(12分)取一副三角尺按如图①拼接，固定三角尺ADC，将三角尺ABC绕点A按顺时针方向旋转得到△ABC′，如图②所示，设∠CAC′＝α(0°<α≤45°).(1)当α＝15°时，求证：AB∥CD；(2)连接BD，当0°＜α≤45°时，∠DBC′＋∠CAC′＋∠BDC的度数是否变化？若变化，求出变化范围；若不变，求出其度数．解：(1)证明：∵∠CAC′＝15°，∠BAC′＝45°，∴∠BAC＝∠BAC′－∠CAC′＝45°－15°＝30°.又∵∠ACD＝30°，∴∠BAC＝∠ACD.∴AB∥CD(2)∠DBC′＋∠CAC′＋∠BDC的度数不变．连接CC′，则∠DBC′＋∠BDC＝∠DCC′＋∠BC′C，∵∠CAC′＋∠AC′C＋∠ACC′＝180°，∴∠CAC′＋∠AC′B＋∠BC′C＋∠ACD＋∠DCC′＝180°.∵∠AC′B＝45°，∠ACD＝30°，∴∠DBC′＋∠CAC′＋∠BDC＝∠DCC′＋∠CAC′＋∠BC′C＝180°－45°－30°＝105°25．(14分)已知∠MON＝40°，OE平分∠MON，点A，B，C分别是射线OM，OE，ON上的动点(点A，B，C不与点O重合)，连接AC交射线OE于点D，设∠OAC＝x°.(1)如图①，若AB∥ON，则：①∠ABO的度数是__20°__；②当∠BAD＝∠ABD时，x＝__120__；当∠BAD＝∠BDA时，x＝__60__；(2)如图②，若AB⊥OM，是否存在这样的x值，使得△ADB中有两个相等的角？若存在，求出x的值；若不存在，说明理由．解：(2)①当点D在线段OB上时，若∠BAD＝∠ABD，则x＝20；若∠BAD＝∠BDA，则x＝35；若∠ADB＝∠ABD，则x＝50.②当点D在射线BE上时，∵∠ABE＝110°，且三角形的内角和为180°，∴只有∠BAD＝∠BDA＝35°，∴x＝125.综上可知，当x＝20，35，50或125时，△ADB中有两个相等的角第十二章全等三角形得分________卷后分________评价________一、选择题(每小题3分，共30分)1．下列四个图形是全等图形的是(C)A．①和③B．②和③C．②和④D．③和④2．如图，已知△ABE≌△ACD，下列等式不正确的是(D)A．AB＝AC B．∠BAE＝∠CAD C．BE＝CD D．AD＝BE第2题图第3题图第4题图第5题图3．如图，AC是△ABC和△ADC的公共边，下列条件不能判定△ABC≌△ADC的是(A) A．AB＝AD，∠2＝∠1 B．AB＝AD，∠3＝∠4C．∠2＝∠1，∠3＝∠4 D．∠2＝∠1，∠B＝∠D4．如图，AD是△ABC中∠BAC的平分线，DE⊥AB于点E，S△ABC＝18，DE＝3，AB＝8，则AC的长是(B)A．3 B．4 C．6 D．55．如图，∠A＝∠D＝90°，AC＝DB，AC，DB相交于点O，∠ACB＝30°，则∠BCD 的度数为(C)A．40°B．50°C．60°D．75°6．如图，已知△ABC，用尺规作图如下：①以点B为圆心，AB的长为半径画弧，交BC于点P；②以点P为圆心，AP的长为半径画弧，交已画弧于点D；③连接BD，CD，则△ABC≌△DBC的依据是(D)A．SSS B．ASA C．AAS D．SAS第6题图第7题图第8题图第9题图7．如图，在四边形ABCD中，∠A＝90°，AD＝4，连接BD，BD⊥CD，∠ADB＝∠C.若P是BC边上一动点，则DP长的最小值为(C)A．2 B．3 C．4 D．58．如图，在△PAB中，∠A＝∠B，M，N，K分别是PA，PB，AB上的点，且AM＝BK，BN＝AK，若∠MKN＝42°，则∠P的度数为(C)A．44°B．66°C．96°D．92°9．如图，在四边形ABCD中，AB＝CD，BA和CD的延长线交于点E，若点P使得S ＝S△PCD，则满足此条件的点P(D)△PABA．有且只有1个B．有且只有2个C．组成∠E的角平分线D．组成∠E的角平分线所在的直线(E点除外)10．如图，在△ABC，△ADE中，∠BAC＝∠DAE＝90°，AB＝AC，AD＝AE，点C，D，E三点在同一条直线上，连接BD，BE.以下四个结论中：①BD＝CE；②∠ACE＋∠DBC ＝45°；③BD⊥CE；④∠BAE＋∠DAC＝180°.正确的个数是(D)A．1个B．2个C．3个D．4个第10题图第11题图第12题图第13题图二、填空题(每小题3分，共24分)11．如图，△ABC≌△BAD，若AB＝6，AC＝4，BC＝5，则△BAD的周长为__15__．12．(襄阳中考)如图，已知∠ABC＝∠DCB，添加下列条件中的一个：①∠A＝∠D，②AC＝DB，③AB＝DC，其中不能确定△ABC≌△DCB的是②(只填序号).13．如图，OP平分∠MON，PE⊥OM于点E，PF⊥ON于点F，OA＝OB，则图中共有__3__对全等三角形．14．如图为6个边长相等的正方形的组合图形，则∠1＋∠2＋∠3＝__135°__．第14题图第15题图第16题图第18题图15．如图，∠AOB ＝90°，OA ＝OB ，直线l 经过点O ，分别过A ，B 两点作AC ⊥l 交l 于点C ，BD ⊥l 交l 于点D .若AC ＝10，BD ＝6，则CD ＝4．16．如图，在△ABC 中，∠C ＝90°，AD 平分∠BAC 交BC 于点D .已知BD ∶CD ＝3∶2，点D 到AB 的距离是6，则BC 的长是__15__．17．在△ABC 中，AB ＝5，AC ＝3，AD 是△ABC 的中线，设AD 的长为m ，则m 的取值范围是__1＜m ＜4__.18．如图，点B 的坐标为(4，4)，作BA ⊥x 轴，BC ⊥y 轴，垂足分别为A ，C ，点D 为线段OA 的中点，点P 从点A 出发，在线段AB ，BC 上沿A →B →C 运动，当OP ＝CD 时，点P 的坐标为__(2，4)或(4，2)__．三、解答题(共66分)19．(6分)如图，△ABC ≌△ADE ，其中点B 与点D ，点C 与点E 对应．(1)写出对应边和对应角；(2)∠BAD 与∠CAE 相等吗？说明理由．解：(1)对应边：AB 与AD ，BC 与DE ，AC 与AE ；对应角：∠BAC 与∠DAE ，∠B 与∠D ，∠C 与∠E(2)∠BAD ＝∠CAE .理由如下：∵∠BAC ＝∠DAE ，∴∠BAC －∠CAD ＝∠DAE －∠CAD ，即∠BAD ＝∠CAE20．(7分)(陕西中考)如图，点A ，E ，F ，B 在直线l 上，AE ＝BF ，AC ∥BD ，且AC ＝BD ，求证：CF ＝DE .证明：∵AE ＝BF ，∴AE ＋EF ＝BF ＋EF ，即AF ＝BE ，∵AC ∥BD ，∴∠CAF ＝∠DBE ，在△ACF 和△BDE 中，⎩⎪⎨⎪⎧AC ＝BD ，∠CAF ＝∠DBE ，AF ＝BE ，∴△ACF ≌△BDE (SAS)，∴CF ＝DE21．(8分)王强同学用10块高度都是2 cm 的相同长方体小木块，垒了两堵与地面垂直的木墙，木墙之间刚好可以放进一个等腰直角三角板(AC ＝BC ，∠ACB ＝90°)，点C 在DE 上，点A 和点B 分别与木墙的顶端重合，求两堵木墙之间的距离．解：由题意得AC ＝BC ，∠ACB ＝90°，AD ⊥DE ，BE ⊥DE ，∴∠ADC ＝∠CEB ＝90°，∠ACD ＋∠BCE ＝90°，∠ACD ＋∠DAC ＝90°，∴∠BCE ＝∠DAC .在△ADC 和△CEB中，⎩⎪⎨⎪⎧∠ADC ＝∠CEB ，∠DAC ＝∠BCE ，AC ＝BC ，∴△ADC ≌△CEB (AAS)，∴EC ＝AD ＝6 cm ，DC ＝BE ＝14 cm ，∴DE ＝DC ＋CE ＝20(cm)，答：两堵木墙之间的距离为20 cm22．(9分)在数学实践课上，老师在黑板上画出如图的图形(其中点B ，F ，C ，E 在同一条直线上).并写出四个条件：①AB ＝DE ，②∠1＝∠2，③BF ＝EC ，④∠B ＝∠E .交流中老师让同学们从这四个条件中选出三个作为题设，另一个作为结论，组成一个真命题．(1)请你写出所有的真命题；(2)选一个给予证明．你选择的题设：__①③④__；结论：__②(答案不唯一)__．(均填写序号)解：(1)情况一：题设：①②④；结论：③；情况二：题设①③④；结论：②；情况三：题设②③④；结论：① (2)选择的题设：①③④，结论：②(答案不唯一).理由：∵BF ＝EC ，∴BF ＋CF ＝EC ＋CF ，即BC ＝EF .在△ABC 和△DEF 中，⎩⎨⎧AB ＝DE ，∠B ＝∠E ，BC ＝EF ，∴△ABC ≌△DEF(SAS)，∴∠1＝∠223．(10分)如图，在△ABC 中，BE ，CF 分别是AC ，AB 两边上的高，在BE 上截取BD ＝AC ，在CF 的延长线上截取CG ＝AB ，连接AD ，AG .(1)图中有一组三角形全等，试将其找出来并证明；(2)连接DG ，猜想△ADG 的形状，并说明理由．解：(1)△ABD ≌△GCA ，证明：∵BE ，CF 分别是AC ，AB 两边上的高，∴∠AFC ＝∠BFC ＝∠BEC ＝∠BEA ＝90°，∴∠BAC ＋∠ACF ＝90°，∠BAC ＋∠ABE ＝90°，∠CGA ＋∠GAF ＝90°，∴∠ABE ＝∠ACF .在△ABD 和△GCA 中，⎩⎪⎨⎪⎧BD ＝AC ，∠ABE ＝∠ACF ，AB ＝CG ，∴△ABD ≌△GCA (SAS)(2)△ADG 是等腰直角三角形，理由如下：∵△ABD ≌△GCA ，∴AD ＝AG ，∠BAD ＝∠CGA .又∵∠CGA ＋∠GAF ＝90°，∴∠BAD ＋∠GAF ＝90°，即∠GAD ＝90°，∴△ADG 是等腰直角三角形24．(12分)如图，在△ABC 中，AD 平分∠BAC ，∠C ＝90°，DE ⊥AB 于点E ，点F 在AC 上，BD ＝DF .(1)求证：CF ＝EB ；(2)若AB ＝12，AF ＝8，求CF 的长．解：(1)证明：∵AD 平分∠BAC ，∠C ＝90°，DE ⊥AB 于点E ，∴DE ＝DC .在Rt △CDF 与Rt △EDB 中，∵⎩⎪⎨⎪⎧DF ＝DB ，DC ＝DE ， ∴Rt △CDF ≌Rt △EDB (HL)，∴CF ＝EB (2)设CF ＝x ，则AE ＝12－x ，AC ＝AF ＋CF ＝8＋x .在Rt △ACD 与Rt △AED 中，∵⎩⎪⎨⎪⎧AD ＝AD ，CD ＝DE ，∴Rt △ACD ≌Rt △AED (HL)，∴AC ＝AE ，即8＋x ＝12－x ，解得x ＝2，即CF ＝225．(14分)如图①，AM ∥BN ，AE 平分∠BAM ，BE 平分∠ABN .(1)求∠AEB 的度数；(2)如图②，过点E 的直线交射线AM 于点C ，交射线BN 于点D .求证：AC ＋BD ＝AB ；(3)如图③，过点E 的直线交射线AM 的反向延长线于点C ，交射线BN 于点D ，AB ＝5，AC ＝3，S △ABE －S △ACE ＝2，求△BDE 的面积．解：(1)∵AM ∥BN ，∴∠BAM ＋∠ABN ＝180°.∵AE 平分∠BAM ，BE 平分∠ABN ，∴∠BAE ＝12 ∠BAM ，∠ABE ＝12 ∠ABN.∴∠BAE ＋∠ABE ＝12 (∠BAM ＋∠ABN)＝90°.∴∠AEB ＝90°(2)证明：如图甲，在线段AB 上截取AF ＝AC ，连接EF .在△ACE 与△AFE 中，⎩⎨⎧AC ＝AF ，∠CAE ＝∠FAE ，AE ＝AE ， ∴△ACE ≌△AFE(SAS).∴∠AEC ＝∠AEF .∵∠AEB ＝90°，∴∠AEF ＋∠BEF ＝∠AEC ＋∠BED ＝90°，∴∠FEB ＝∠DEB.在△BFE 与△BDE 中，⎩⎨⎧∠FBE ＝∠DBE ，BE ＝BE ，∠FEB ＝∠DEB ，∴△BFE ≌△BDE(ASA)，∴BF ＝BD.∵AF ＋BF ＝AB ，∴AC ＋BD ＝AB(3)如图乙，延长AE 交射线BN 于点F .∵∠AEB ＝90°，∴BE ⊥AF .∵BE 平分∠ABN ，∴∠ABE ＝∠FBE.又∵∠AEB ＝∠FEB ＝90°，BE ＝BE ，∴△ABE ≌△FBE(ASA)，∴BF＝AB ＝5，AE ＝EF .∵AM ∥BN.∴∠C ＝∠EDF .在△ACE 与△FDE 中，⎩⎨⎧∠C ＝∠EDF ，∠AEC ＝∠FED ，AE ＝EF ，∴△ACE ≌△FDE(AAS)，∴DF ＝AC ＝3.设S △BEF ＝S △ABE ＝5x ，S △DEF ＝S △ACE ＝3x.∵S △ABE －S △ACE ＝2，∴5x －3x ＝2，∴x ＝1.∴△BDE 的面积为8第十三章 轴对称得分________ 卷后分________ 评价________一、选择题(每小题3分，共30分)1．(北京中考)下列倡导节约的图案中，是轴对称图形的是(C )2．下列图形对称轴条数最多的是(A )A ．正方形B ．等边三角形C ．等腰三角形D ．线段3．若点P (a ，1)关于y 轴的对称点为Q (2，b )，则a ＋b 的值是(A )A ．－1B ．0C ．1D ．24．如图，AC ＝BC ，AC ⊥BC ，CD ⊥AB ，DE ⊥BC ，则图中共有等腰三角形的个数为(D )A ．2B ．3C ．4D ．5第4题图 第5题图 第6题图5．如图，在△ABC 中，D 点在BC 上，将D 点分别以AB ，AC 为对称轴，画出对称点E ，F ，并连接AE ，AF .根据图中标示的角度，则∠EAF 的度数为(D )A ．113°B ．124°C ．129°D ．134°6．如图，在已知的△ABC 中，按以下步骤作图：①分别以B ，C 为圆心，以大于12BC 的长为半径作弧，两弧相交于两点M ，N ；②作直线MN 交AB 于点D ，连接CD .若CD ＝AC ，∠A ＝50°，则∠ACB 的度数为(D )A ．90°B ．95°C ．100°D ．105°7．如图，在△ABC 中，BD 平分∠ABC ，ED ∥BC ，已知AB ＝3，AD ＝1，则△AED 的周长为(C )A ．2B ．3C ．4D ．5第7题图 第8题图 第9题图8．如图，直线l 1，l 2相交于点A ，点B 是直线外一点，在直线l 1，l 2上找一点C ，使△ABC 为一个等腰三角形，则满足条件的点C 有(D )A ．2个B ．4个C ．6个D ．8个9．如图，等边三角形ABC 的边长为4，AD 是BC 边上的中线，P 是AD 边上的动点，E 是AC 边上一点．若AE ＝2，当EP ＋CP 的值最小时，∠ECP 的度数为(C )A ．15°B ．22.5°C ．30°D ．45°10．已知点P (－2，3)，作点P 关于x 轴的对称点P 1，再作点P 1关于y 轴的对称点P 2，接着作P 2关于x 轴的对称点P 3，继续作点P 3关于y 轴的对称点P 4，按此方法一直作下去，则P 2 021的坐标为(B )A ．(2，－3)B ．(－2，－3)C ．(－2，3)D ．(2，3)二、填空题(每小题3分，共24分)11．如图，AB ∥CE ，BF 交CE 于点D ，DE ＝DF ，∠F ＝20°，则∠B 的度数为__40°__．第11题图 第12题图 第13题图第14题图12．如图，将一个有45°角的三角板的直角顶点放在一张宽为3 cm的纸带边沿上，另一个顶点在纸带的另一边沿上，测得三角板的一边与纸带的一边所在的直线成30°角，则三角板的直角边的长为6cm.13．如图，在平面直角坐标系中，△ABC关于直线m(直线m上各点的横坐标都为1)对称，点C的坐标为(4，1)，则点B的坐标为(－2，1)．14．如图是一个风筝的图案，它是轴对称图形，EF是对称轴．若∠A＝90°，∠AED ＝130°，∠C＝45°，则∠BFC的度数为__140°__．15．如图，在△ABC中，DE是AC的垂直平分线，△ABC的周长为19 cm，△ABD 的周长为13 cm，则AE的长为__3__cm.第15题图第16题图第18题图16．如图，已知在等边三角形ABC中，点D，E分别在边AB，BC上，把△BDE沿直线DE翻折，使点B落在点B′处，DB′，EB′分别交边AC于点F，G.若∠ADF＝80°，则∠EGC的度数为80°．17．在△ABC中，AB＝AC，∠BAC＝100°，点D在BC边上，连接AD，若△ABD 为直角三角形，则∠ADC的度数为__130°或90°__．18．如图，C为线段AE上一动点(不与A，E重合)，在AE同侧分别作等边△ABC和等边△CDE，AD与BE交于点O，AD与BC交于点P，BE与CD交于点Q，连接PQ，以下五个结论：①AD＝BE；②PQ∥AE；③CP＝CQ；④BO＝OE；⑤∠AOB＝60°，恒成立的结论有__①②③⑤__．三、解答题(共66分)19．(6分)如图所示．(1)写出A，B，C三点的坐标；(2)若△ABC各顶点的横坐标不变，纵坐标都乘－1，请你在同一坐标系中描出对应的点A′，B′，C′，并依次连接这三个点，所得的△A′B′C′与原来的△ABC有怎样的位置关系？解：(1)A，B，C三点的坐标分别是(3，4)，(1，2)，(5，1)(2)画图略，△A′B′C′与原来的△ABC的位置关系是关于x轴对称20.(6分)如图，在△ABC中，∠B＝∠C，AD是底边BC上的高，DE∥AB交AC于点E.试说明△ADE是等腰三角形．解：∵在△ABC中，∠B＝∠C，∴AB＝AC，∴△ABC是等腰三角形．∵AD⊥BC，∴∠BAD＝∠DAC.∵DE∥AB，∴∠ADE＝∠BAD，∴∠ADE＝∠DAC，∴AE＝ED，∴△ADE是等腰三角形21．(8分)如图，一艘轮船以每小时40海里的速度沿正北方向航行，在A处测得灯塔C 在北偏西30°方向上，轮船航行2小时后到达B处，在B处测得灯塔C在北偏西60°方向上．请问当轮船到达灯塔C的正东方向D处时，又航行了多少海里？解：∵CD⊥DB，∠CBD＝60°，∴∠DCB＝30°，∴DB＝12BC，∴BC＝2DB.又∵∠BCA＝60°－30°＝30°，∴BC＝BA，∴BC＝2×40＝80(海里)，∴DB＝40海里．答：当轮船到达灯塔C的正东方向D处时，又航行了40海里22．(9分)如图，在Rt△ABC中，∠ACB＝90°，CD⊥AB于点D，∠BAC的平分线AF交CD于点E，交BC于点F，CM⊥AF于点M，CM的延长线交AB于点N.(1)求证：EM＝FM；(2)求证：AC＝AN.证明：(1)∵∠ACB＝90°，CD⊥AB，∴∠ADC＝90°，∴∠AED＋∠DAE＝90°，∠CFE＋∠CAE＝90°.又∵∠BAC的平分线AF交CD于点E，∴∠DAE＝∠CAE，∴∠AED＝∠CFE.又∵∠AED＝∠CEF，∴∠CEF＝∠CFE.∴△CEF为等腰三角形．又∵CM⊥AF，∴EM＝FM(2)∵CN⊥AF，∴∠AMC＝∠AMN＝90°，在△AMC和△AMN中，⎩⎨⎧∠AMC ＝∠AMN ，AM ＝AM ，∠CAM ＝∠NAM ，∴△AMC ≌△AMN(ASA)，∴AC ＝AN23．(10分)如图，在△ABC 中，DM ，EN 分别垂直平分AC 和BC ，交AB 于M ，N 两点，DM 与EN 相交于点F .(1)若△CMN 的周长为15 cm ，求AB 的长；(2)若∠MFN ＝70°，求∠MCN 的度数．解：(1)∵DM ，EN 分别垂直平分AC 和BC ，∴AM ＝CM ，BN ＝CN.∴△CMN 的周长＝CM ＋MN ＋CN ＝AM ＋MN ＋BN ＝AB.∵△CMN 的周长为15 cm ，∴AB ＝15 cm (2)∵∠MFN ＝70°，∴∠MNF ＋∠NMF ＝180°－70°＝110°.∵∠AMD ＝∠NMF ，∠BNE ＝∠MNF ，∴∠BNE ＋∠AMD ＝∠MNF ＋∠NMF ＝110°，∴∠A ＋∠B ＝90°－∠AMD ＋90°－∠BNE ＝180°－110°＝70°.∵AM ＝CM ，BN ＝CN ，∴∠A ＝∠ACM ，∠B ＝∠BCN ，∴∠MCN ＝180°－2(∠A ＋∠B)＝180°－2×70°＝40°24．(12分)(安顺中考)(1)如图①，在四边形ABCD 中，AB ∥CD ，点E 是BC 的中点，若AE 是∠BAD 的平分线，试判断AB ，AD ，DC 之间的等量关系．解决此问题可以用如下方法：延长AE 交DC 的延长线于点F ，易证△AEB ≌△FEC 得到AB ＝FC ，从而把AB ，AD ，DC 转化在一个三角形中即可判断． 因此，AB ，AD ，DC 之间的等量关系是AD ＝AB ＋DC ；(2)问题探究：如图②，在四边形ABCD 中，AB ∥CD ，AF 与DC 的延长线交于点F ，点E 是BC 的中点，若AE 是∠BAF 的平分线，试探究AB ，AF ，CF 之间的等量关系，并证明你的结论．解：(1)AD ＝AB ＋DC .理由如下：∵AB ∥CD ，∴∠F ＝∠BAE .∵∠DAE ＝∠BAE ，∴∠DAF ＝∠F ，∴AD ＝DF ，∵CE ＝BE ，且∠F ＝∠BAE ，∠AEB ＝∠CEF ，∴△CEF ≌△BEA (AAS)，∴AB ＝CF ，∴AD ＝DC ＋CF ＝AB ＋DC(2)AB ＝AF ＋CF .理由如下：如图，延长AE 交DF 的延长线于点G ，∵AB ∥DC ，∴∠BAE ＝∠G ，又∵BE ＝CE ，∠AEB ＝∠GEC ，∴△AEB ≌△GEC (AAS)，∴AB ＝GC .∵AE 是∠BAF 的平分线，∴∠BAG ＝∠FAG ，∵∠BAG ＝∠G ，∴∠FAG ＝∠G ，∴FA ＝FG .∵CG ＝CF ＋FG ，∴AB ＝AF ＋CF25．(15分)如图所示，已知△ABC 中，AB ＝AC ＝BC ＝10厘米，M ，N 分别从点A ，B 同时出发，沿三角形的边顺时针运动，已知点M 的速度是1厘米/秒，点N 的速度是2厘米/秒，当点N 第一次到达B 点时，M ，N 同时停止运动．(1)M ，N 同时运动几秒后，M ，N 两点重合？(2)M ，N 同时运动几秒后，可得等边三角形AMN?(3)M ，N 在BC 边上运动时，能否得到以MN 为底边的等腰三角形AMN ，如果存在，请求出此时M ，N 运动的时间？解：(1)设点M ，N 运动x 秒后，M ，N 两点重合，x ＋10＝2x ，解得x ＝10，∴M ，N 同时运动10秒后，M ，N 两点重合(2)设点M ，N 运动t 秒后，可得到等边三角形AMN ，如图①，AM ＝t ×1＝t ，AN ＝AB －BN ＝10－2t.∵△AMN 是等边三角形，∴t ＝10－2t ，解得t ＝103 .∴点M ，N 运动103 秒后，可得到等边三角形AMN(3)当点M ，N 在BC 边上运动时，可以得到以MN 为底边的等腰三角形，由(1)知，10秒时M ，N 两点重合，恰好在C 处．如图②，假设△AMN 是等腰三角形，∴AN ＝AM ，∴∠AMN ＝∠ANM.∴∠AMC ＝∠ANB.∵AB ＝BC ＝AC ，∴△ACB 是等边三角形，∴∠C ＝∠B.在△ACM 和△ABN 中，∵⎩⎨⎧∠C ＝∠B ，∠AMC ＝∠ANB ，AC ＝AB ，∴△ACM ≌△ABN(AAS).∴CM ＝BN ，设当点M ，N 在BC 边上运动时，M ，N 运动的时间y 秒时，△AMN 是等腰三角形，∴CM ＝y －10，NB ＝30－2y ，CM ＝NB ，y －10＝30－2y ，解得y ＝403 .故假设成立．∴当点M ，N 在BC 边上运动时，能得到以MN 为底边的等腰△AMN ，此时M ，N 运动的时间为403秒期中检测得分________ 卷后分________ 评价________一、选择题(每小题3分，共30分)1．(毕节中考)在下列长度的三条线段中，不能组成三角形的是(C )A ．2 cm ，3 cm ，4 cmB ．3 cm ，6 cm ，6 cmC ．2 cm ，2 cm ，6 cmD ．5 cm ，6 cm ，7 cm2．如图，在△ABC 中，AB ＝AC ，∠B ＝50°，P 是边AB 上的一个动点(不与顶点A 重合)，则∠BPC 的值可能是(B )A ．135°B ．85°C ．50°D ．40° 第2题图 第3题图 第5题图第6题图3．如图，OP 是∠AOB 的平分线，点C ，D 分别在角的两边OA ，OB 上，添加下列条件，不能判定△POC ≌△POD 的是(D )A ．PC ⊥OA ，PD ⊥OB B ．OC ＝OD C ．∠OPC ＝∠OPD D ．PC ＝PD4．(贵港中考)若点A (1＋m ，1－n )与点B (－3，2)关于y 轴对称，则m ＋n 的值是(D )A ．－5B ．－3C ．3D ．15．将五边形纸片ABCDE 按如图方式折叠，折痕为AF ，点E ，D 分别落在E ′，D ′点．已知∠AFC ＝76°，则∠CFD ′等于(C )A ．15°B ．25°C ．28°D ．31°6．如图，在△ABC 中，AB ＝AC ，BD ⊥AC 于点D ，CE ⊥AB 于点E ，BD 和CE 交于点O ，AO 的延长线交BC 于点F ，则图中全等的直角三角形有(D )A ．4对B ．5对C ．6对D ．7对7．如图，在△ABC 中，AD ⊥BC ，CE ⊥AB ，垂足分别为D ，E ，AD ，CE 交于点H ，已知EH ＝EB ＝3，AE ＝4，则CH 的长是(A )A ．1B ．2C ．3D ．4第7题图 第8题图 第10题图8．如图，在△ABC 中，BD 平分∠ABC ，BC 的垂直平分线交BC 于点E ，交BD 于点F ，连接CF .若∠A ＝60°，∠ACF ＝48°，则∠ABC 的度数为(A )A ．48°B ．36°C ．30°D ．24°9．在△ABC 中，高AD 和BE 所在的直线交于点H ，且BH ＝AC ，则∠ABC 等于(C )A ．45°B ．120°C ．45°或135°D ．45°或120°10．如图，在等腰直角△ABC 中，∠BAC ＝90°，AD ⊥BC 于点D ，∠ABC 的平分线分别交AC ，AD 于E ，F 两点， M 为EF 的中点，延长AM 交BC 于点N ，连接DM ，NE .下列结论：①AE ＝AF ；②AM ⊥EF ；③△AEF 是等边三角形，④DF ＝DN ，⑤AD ∥NE .其中正确的结论有(D )A ．1个B ．2个C ．3个D ．4个二、填空题(每小题3分，共24分)11．(资阳中考)如图，AC 是正五边形ABCDE 的一条对角线，则∠ACB ＝__36°__．第11题图 第12题图 第14题图12．如图，BC ⊥ED ，垂足为M ，∠A ＝35°，∠D ＝25°，则∠ABC ＝__30°__．13．我们规定：等腰三角形的顶角与一个底角度数的比值叫做等腰三角形的“特征值”，记作K .若K ＝12，则该等腰三角形的顶角度数为__36°__． 14．(镇江中考)如图，直线a ∥b ，△ABC 的顶点C 在直线b 上，边AB 与直线b 相交于点D .若△BCD 是等边三角形，∠A ＝20°，则∠1＝40°.15．(永州中考)已知∠AOB ＝60°，OC 是∠AOB 的平分线，点D 为OC 上一点，过点D 作直线DE ⊥OA ，垂足为E ，且直线DE 交OB 于点F ，如图所示．若DE ＝2，则DF ＝4．第15题图 第16题图 第17题图 第18题图16．如图，在△ABC 中，点D 为BC 边的中点，点E 为AC 上一点，将∠C 沿DE 翻折，使点C 落在AB 上的点F 处，若∠AEF ＝50°，则∠A 的度数为__65°__．17．如图，AD 是△ABC 的角平分线，DE ⊥AB 于点E ，若AB ＝18，AC ＝12，△ABC的面积等于36，则DE ＝__125 __． 18．如图，在△ABC 中，∠BAC 的平分线交BC 于点D ，过点D 作DE ⊥AC ，DF ⊥AB ，垂足分别为E ，F ，下面四个结论：①∠AFE ＝∠AEF ；②AD 垂直平分EF ；③S △BFD S △CED＝BF CE；④EF 一定平行于BC .其中正确的有①②③(填序号). 三、解答题(共66分)19．(6分)(宜昌中考)如图，在Rt △ABC 中，∠ACB ＝90°，∠A ＝40°，△ABC 的外角∠CBD 的平分线BE 交AC 的延长线于点E .(1)求∠CBE 的度数；(2)过点D 作DF ∥BE ，交AC 的延长线于点F ，求∠F 的度数．解：(1)∵∠ACB ＝90°，∠A ＝40°，∴∠ABC ＝90°－∠A ＝50°，∴∠CBD ＝130°.∵BE 是∠CBD 的平分线，∴∠CBE ＝12∠CBD ＝65° (2)∵∠ACB ＝90°，∠CBE ＝65°，∴∠CEB ＝90°－65°＝25°.∵DF ∥BE ，∴∠F ＝∠CEB ＝25°20．(6分)在如图所示的平面直角坐标系中，每个小方格都是边长为1的正方形，△ABC 的顶点均在格点上，点A 的坐标是(－3，－1).(1)将△ABC 沿y 轴正方向平移3个单位长度得到△A 1B 1C 1，画出△A 1B 1C 1，并写出点B 1的坐标；(2)画出△A 1B 1C 1关于y 轴对称的△A 2B 2C 2，并写出点C 2的坐标．解：(1)点B 1的坐标为(－2，－1)，图略(2)点C 2的坐标为(1，1)，图略21．(8分)(温州中考)如图，在△ABC 中，AD 是BC 边上的中线，E 是AB 边上一点，过点C 作CF ∥AB 交ED 的延长线于点F .(1)求证：△BDE ≌△CDF ；(2)当AD ⊥BC ，AE ＝1，CF ＝2时，求AC 的长．解：(1)证明：∵CF ∥AB ，∴∠B ＝∠FCD ，∠BED ＝∠F ， ∵AD 是BC 边上的中线，∴BD ＝CD ，∴△BDE ≌△CDF (AAS) (2)∵△BDE ≌△CDF ，∴BE ＝CF ＝2，∴AB ＝AE ＋BE ＝1＋2＝3， ∵AD ⊥BC ，BD ＝CD ，∴AC ＝AB ＝322．(10分)如图，在△ABC 中，∠ACB ＝90°，CE ⊥AB 于点E ，AD ＝AC ，AF 平分∠CAB 交CE 于点F ，DF 的延长线交AC 于点G .求证：(1)DF ∥BC ；(2)FG ＝FE .证明：(1)∵AF 平分∠CAB ， ∴∠CAF ＝∠DAF .在△ACF 和△ADF 中，∵⎩⎨⎧AC ＝AD ，∠CAF ＝∠DAF ，AF ＝AF ，∴△ACF ≌△ADF(SAS).∴∠ACF ＝∠ADF .∵∠ACB ＝90°，CE ⊥AB ，∴∠ACE ＋∠CAE ＝90°，∠CAE ＋∠B ＝90°. ∴∠ACF ＝∠B ，∴∠ADF ＝∠B.∴DF ∥BC (2)∵DF ∥BC ，BC ⊥AC ，∴FG ⊥AC.∵FE ⊥AB ，又AF 平分∠CAB ，∴FG ＝FE23．(10分)如图，在四边形ABCD 中，AD ∥BC ，点E 是AB 的中点，连接DE 并延长，交CB 的延长线于点F ，点G 在边BC 上，且∠GDF ＝∠ADF .(1)求证：△ADE ≌△BFE ；(2)连接EG ，判断EG 与DF 的位置关系并说明理由．解：(1)证明：∵AD ∥BC ，∴∠ADE ＝∠BFE.∵点E 为AB 的中点，∴AE ＝BE.在△ADE和△BFE 中，⎩⎨⎧∠ADE ＝∠BFE ，∠AED ＝∠BEF ，AE ＝BE ，∴△ADE ≌△BFE(AAS)(2)EG 与DF 的位置关系是EG 垂直平分DF .理由：∵∠GDF ＝∠ADE ，∠ADE ＝∠BFE ，∴∠GDF ＝∠BFE.∴FG ＝DG .∴△FGD 为等腰三角形．由(1)中△ADE ≌△BFE 得DE ＝FE ，即GE 为DF 上的中线，∴GE 垂直平分DF24．(12分)如图，点O 是等边△ABC 内一点，∠AOB ＝100°，∠BOC ＝α.以OC 为一边作等边三角形OCD ，连接AD .(1)当α＝150°时，试判断△AOD 的形状，并说明理由； (2)探究：当α为多少度时，△AOD 是等腰三角形？解：(1)∵△OCD 是等边三角形，∴OC ＝CD .∵△ABC 是等边三角形，∴BC ＝AC .∵∠ACB ＝∠OCD ＝60°，∴∠BCO ＝∠ACD ，在△BOC 与△ADC 中，∵⎩⎪⎨⎪⎧OC ＝CD ，∠BCO ＝∠ACD ，BC ＝AC ，∴△BOC ≌△ADC ，∴∠BOC ＝∠ADC ，而∠BOC ＝α＝150°，∠ODC ＝60°，∴∠ADO ＝150°－60°＝90°，∴△ADO 是直角三角形(2)∠AOD ＝360°－∠AOB －∠α－∠COD ＝360°－100°－∠α－60°＝200°－∠α，∠ADO ＝∠ADC －∠CDO ＝∠α－60°，∠OAD ＝180°－∠ADO －∠AOD ＝180°－(∠α－60°)－(200°－∠α)＝40°. 若∠ADO ＝∠AOD ，即∠α－60°＝200°－∠α，解得∠α＝130°； 若∠ADO ＝∠OAD ，则∠α－60°＝40°，解得∠α＝100°； 若∠OAD ＝∠AOD ，即40°＝200°－∠α，解得∠α＝160°. 即当α为130°或100°或160°时，△AOD 是等腰三角形25．(14分)已知在等边三角形ABC 中，点E 在AB 上，点D 在CB 的延长线上，且ED ＝EC .(1)【特殊情况，探索结论】 如图①，当点E 为AB 的中点时，确定线段AE 与DB 的大小关系，请你直接写出结论：AE __＝__DB (填“＞”“＜”或“＝”)；(2)【特例启发，解答题目】如图②，当点E 为AB 边上任意一点时，确定线段AE 与DB 的大小关系，请你直接写出结论：AE __＝__DB (填“＞”“＜”或“＝”)，并给出证明；(3)【拓展结论，设计新题】 在等边三角形ABC 中，点E 在直线AB 上，点D 在线段CB 的延长线上，且ED ＝EC ，若△ABC 的边长为1，AE ＝2，求CD 的长．解：(2)AE ＝DB .证明：过点E 作EF ∥BC ，交AC 于点F ，∵△ABC 为等边三角形，∴△AEF 为等边三角形，∴AE ＝EF ，BE ＝CF . ∵ED ＝EC ，∴∠D ＝∠ECD .∵∠DEB ＝60°－∠D ，∠ECF ＝60°－∠ECD ，∴∠DEB ＝∠ECF ，在△DBE 和△EFC 中，⎩⎪⎨⎪⎧DE ＝CE ，∠DEB ＝∠ECF ，BE ＝FC ， ∴△DBE ≌△EFC (SAS)，∴DB ＝EF ，∴AE ＝DB(3)如图所示，点E 在AB 延长线上时，过点E 作EF ∥BC ，交AC 的延长线于点F ，同(2)仍可证得△DBE ≌△EFC ，∴DB ＝EF ＝2，BC ＝1，则CD ＝BC ＋DB ＝3第十四章 整式的乘法与因式分解得分________ 卷后分________ 评价________一、选择题(每小题3分，共30分) 1．(盐城中考)计算(－x 2y )2的结果是(A )A ．x 4y 2B ．－x 4y 2C ．x 2y 2D ．－x 2y 2 2．(葫芦岛中考)下列运算正确的是(D ) A ．x 2·x 2＝x 6 B ．x 4＋x 4＝2x 8C ．－2(x 3)2＝4x 6D ．xy 4÷(－xy )＝－y 3 3．(泰安中考)计算(－2)0＋9÷(－3)的结果是(B ) A ．－1 B ．－2 C ．－3 D ．－44．多项式mx 2－m 与多项式x 2－2x ＋1的公因式是(A ) A ．x －1 B ．x ＋1 C ．x 2－1 D ．(x －1)25．如图，阴影部分是边长为a 的大正方形中剪去一个边长为b 的小正方形后所得到的图形，将阴影部分通过割、拼形成新的图形，嘉嘉(图①)和琪琪(图②)分别给出了各自的割拼方法，其中能够验证平方差公式的是(C )A.嘉嘉 B ．琪琪 C ．都能 D ．都不能6．若a ＞0且a x ＝2，a y ＝3，则a x －2y 的值为(D ) A ．13 B ．－13 C ．23 D ．297．已知(x －2 019)2＋(x －2 021)2＝34，则(x －2 020)2的值是(D ) A ．4 B ．8 C ．12 D ．168．已知2a －b ＝3，那么12a 2－8ab ＋b 2－12a ＋3的值为(B ) A ．9 B ．12 C ．15 D ．189．分解因式x 2＋ax ＋b ，甲看错了a 的值，分解的结果是(x ＋6)(x －1)，乙看错了b 的值，分解的结果是(x －2)(x ＋1)，那么x 2＋ax ＋b 分解因式的正确结果为(B )A ．(x －2)(x ＋3)B ．(x ＋2)(x －3)C ．(x －2)(x －3)D ．(x ＋2)(x ＋3)10．图①是一个长为2a ，宽为2b (a >b )的长方形，用剪刀沿图中虚线(对称轴)剪开，把它分成四块形状和大小都一样的小长方形，然后按图②所示方式拼成一个正方形，则中间空的部分的面积是(C )A.abB ．(a ＋b )2C ．(a －b )2D ．a 2－b 2二、填空题(每小题3分，共24分) 11．计算(－2x 3y 2)3·4xy 2＝－32x 10y 8．12．一个长方形的面积是xy 2－x 2y ，且长为xy ，则这个长方形的宽为y －x ． 13．(东营中考)因式分解：x (x －3)－x ＋3＝(x －1)(x －3)．14．多项式x 2＋mx ＋5分解因式是(x ＋5)(x ＋n )，则m ＝6，n ＝1．15．如图， 在正方形ABCD 和EFGC 中，左、右两个正方形的边长分别为a ，b ，用代数式表示阴影部分三角形AEG 的面积为12b 2．第15题图第17题图 第18题图16．观察下列等式：12－02＝1，22－12＝3，32－22＝5，42－32＝7，……用含n(n≥1且n为正整数)的等式表示这种规律为__n2－(n－1)2＝2n－1__．17．如图，长方形ABCD的周长为8，分别以长方形的一条长和一条宽向外作两个正方形，且这两个正方形的面积和为10，则长方形ABCD的面积是3．18．如图所示是一块正方形铁皮，边长为a，如果一边截去6，另一边截去5，则下面式子中正确地表示所剩长方形(阴影部分)铁皮的面积的有①③④．(填序号)①(a－5)(a－6)；②a2－5a＋6(a－5)；③a2－6a－5(a－6)；④a2－11a＋30.三、解答题(共66分)19．(8分)计算：(1)(－3a2bc)2·(－2ab2)3；解：原式＝9a4b2c2·(－8a3b6)＝－72a7b8c2(2)(无锡中考)(a－b)2－a(a－2b).解：原式＝a2－2ab＋b2－a2＋2ab＝b220．(12分)分解因式：（1）2x2y－8xy＋8y；(2)(2x＋y)2－(x＋2y)2；解：原式＝2y（x－2）2解：原式＝3(x＋y)(x－y)(3)(y2－1)2＋6(1－y2)＋9.解：原式＝(y＋2)2(y－2)221．(8分)化简求值：(1)(宜昌中考)x(x＋1)＋(2＋x)(2－x)，其中x＝6－4；解：原式＝x2＋x＋4－x2＝x＋4，当x＝ 6 －4时，原式＝ 6 －4＋4＝ 6(2)(2m＋1)(2m－1)－(m－1)2＋(2m)3÷(－8m)，其中m(m＋1)＝2.解：原式＝4m2－1－(m2－2m＋1)＋8m3÷(－8m)＝4m2－1－m2＋2m－1－m2＝2m2＋2m－2＝2(m 2＋m －1)， ∵m(m ＋1)＝2， ∴m 2＋m ＝2，则原式＝2×(2－1)＝222．(8分)已知a ，b ，c 是△ABC 的三边长，满足a 2＋b 2＝12a ＋8b －52，且△ABC 是等腰三角形，求c 的值．解：∵a 2＋b 2＝12a ＋8b －52，∴a 2＋b 2－12a －8b ＋52＝0， ∴(a 2－12a ＋36)＋(b 2－8b ＋16)＝0，∴(a －6)2＋(b －4)2＝0，∴a ＝6，b ＝4.∵△ABC 是等腰三角形，∴c ＝4或c ＝6，且符合三角形的三边关系23．(8分)如图是某环保工程所需要的一种圆柱形空心混凝土管道，它的内径长为d ，外径长为D ，长为l .设它的实体部分体积为V 立方米．(1)用含D ，d 的式子表示V ；(2)当它的内径d ＝45 cm ，外径D ＝75 cm ，长l ＝3 m 时，利用分解因式的知识求浇制一节这样的管道大约需要多少立方米的混凝土？(其中π取3)解：(1)V ＝l ·[π·⎝⎛⎭⎫D 2 2－π·⎝⎛⎭⎫d 2 2]＝πl 4 ()D 2－d 2 (2)当d ＝45 cm ，D ＝75 cm ，l ＝3 m 时， V ＝πl 4 ()D 2－d 2 ＝πl4(D ＋d )·(D －d ) ＝3×34×(75＋45)×(75－45)×10－4 ＝0.81(立方米)答：浇制一节这样的管道大约需要0.81立方米的混凝土24．(10分)如图①，是一个长为2m 、宽为2n 的长方形，沿图中虚线用剪刀均分成四块小长方形，然后按图②的形状拼成一个正方形．(1)你认为图②中的阴影部分的正方形的边长等于__m －n __；(2)请用两种不同的方法求图②中阴影部分的面积： ①__(m －n)2__，②__(m ＋n)2－4mn __；(3)观察图②，请你写出代数式(m ＋n )2，(m －n )2，mn 之间的等量关系．根据(3)题中的等量关系，解决下列问题：若a ＋b ＝7，ab ＝5，求(a －b )2的值．解：(3)(m －n)2＝(m ＋n)2－4mn ，∵a ＋b ＝7，ab ＝5，∴(a －b)2＝(a ＋b)2－4ab ＝72－4×5＝2925．(12分)(枣庄中考)我们知道，任意一个正整数n 都可以进行这样的分解：n ＝p ×q (p ，q 是正整数，且p ≤q )，在n 的所有这种分解中，如果p ，q 两因数之差的绝对值最小，我们就称p ×q 是n 的最佳分解．并规定：F (n )＝pq.例如12可以分解成1×12，2×6或3×4，因为12－1＞6－2＞4－3，所以3×4是12的最佳分解，所以F (12)＝34.(1)如果一个正整数m 是另外一个正整数n 的平方，我们称正整数m 是完全平方数．求证：对任意一个完全平方数m ，总有F (m )＝1；(2)如果一个两位正整数t ，t ＝10x ＋y (1≤x ≤y ≤9，x ，y 为自然数)，交换其个位上的数与十位上的数得到的新数减去原来的两位正整数所得的差为36，那么我们称这个数t 为“吉祥数”，求所有“吉祥数”；(3)在(2)所得“吉祥数”中，求F (t )的最大值．解：(1)证明：对任意一个完全平方数m ，设m ＝n 2(n 为正整数)， ∵|n －n |＝0，∴n ×n 是m 的最佳分解，∴对任意一个完全平方数m ，总有F (m )＝nn＝1(2)设交换t 的个位上的数与十位上的数所得到的新数为t ′，则t ′＝10y ＋x ， ∵t 是“吉祥数”，∴t ′－t ＝(10y ＋x )－(10x ＋y )＝9(y －x )＝36，∴y ＝x ＋4.∵1≤x ≤y ≤9，x ，y 为自然数，∴满足“吉祥数”的有15，26，37，48，59 (3)F (15)＝35 ，F (26)＝213 ，F (37)＝137 ，F (48)＝68 ＝34 ，F (59)＝159 ，∵34 ＞35 ＞213 ＞137 ＞159， ∴所有“吉祥数”中，F (t )的最大值为34第十五章 分式得分________ 卷后分________ 评价________一、选择题(每小题3分，共30分) 1．若分式x 2－4x 的值为0，则x 的值是(A )A ．2或－2B ．2C ．－2D ．0。
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八年级下册英语第1---3单元测试一单项选择。
（15分）（）1. — Kelly, who's the girl__________glasses inthe photo?-一It’s me. I used to wear glasses and have long hair.A. byB. ofC. onD. with（）2 .How do you like Li Yundi?- A cool guy! His music______ really beautiful.A. tastesB. soundsC. smellsD. looks（）3.M um，I’m not feeling well.—Oh, dear! ________A. What’s wrong?B. Not at all.C. All right.（）4. Young people today _____posting wonderful articles and beautiful photos onto the micromes- sage(微信）to share with friends.A. are afraid ofB. are used toC. are worried about（）5.Andrea Bocelli never_______ ，whichmakes him a successful singer.A. takes awayB. gives awayC. gets upD. gives up（）6. To our__________, the little girl is the first to go to bed.A. surprisesB. surpriseC. surprisedD. surprising（）7. - -What did your sister do?—-She_________the bus at the bus stop and went home.A. got toB. got upC. got downD. got off（）8.— What did you see?— I saw many boys________ games near the river.A. playedB. playingC. playsD. to play（）9.Our parents often tell us not alone in the river in summer.A.swimB.to swimC.swimmingD.swam（）10.It takes me two hours my homework every day.A.doingB.to doC.didD.does （）11..The glass of water is too hot. Would you please give me some cold water ?A.drinkB.drinkingC.to drinkD.drunk（）12.It’s easy the problem.A.for him solveB.for him to solveC.of him solvingD.of him to solve（）13.You should smoking. It’s bad for your health.A.get upB.put upC.give upD.look up（）14..I hope you next Sunday.A.seeB.to seeC.seesD.seeing（）15.—Could yo u please pass me the book?—A.Yes, I could.B.No, I couldn’t.C.Sure, here you are.D.No, that’s no problem.（）16. Here’s so much rubbish. Could you please ____________?A. give ou itB. give it outC. take out itD. take it out（）17.---Could you please fold the clothes, Mary? ---__________.A. Yes, I couldB. No, I couldn’tC. Yes, sureD. No, I won’t（）18. ---Could you please sweep the floor? ---___________. I’m washing the shirt.A. Yes, sureB. No problemC. Sorry, I couldn’tD. No, I can’t（）19. ---Could you please _________your bike here?A. don’t stopB. not to stopC. not stopD. not stopping（）20. ---Could I _________your bicycle?---Sure, and you can _________for a week.A. borrow, borrowB. borrow, keepC. lend, lendD. lend, borrow（）21. _________of the two boys is from America. They’re from Canada.A. BothB. EitherC. NeitherD. All（）22. I won’t visit her this weekend. Jack won’t, _________.A. bothB. eitherC. neitherD. too（）23. ---I didn’t get to school late this morning. ---__________.A. Me tooB. Me neitherC. Me eitherD. Neither was I（）24. If you don’t put up the signs after school, ___________.A. so does JimB. so will JimC. neither does JimD. neither will Jim（）25. Mary will make a plan as soon as she ____________her homework.A. finishesB. finishC. will finishD. finished（）26. ---I’m going to the shopping center.---___________you’re there, could you buy some fruit for me?A. WhenB. AfterC. WhileD. As soon as（）27. The teacher always tells us _________time _________computer games.A. don’t waste, to playB. don’t waste, playingC. not to waste, to playD. not to waster, playing（）28. __________ good grades, you should try to study harder.A. GetB. In order to getC. GettingD. Got（）29. I'm going to take a vacation. Could you please __________me_________some information about interesting places to travel?A. offer, toB. offer, forC. provide, withD. provide, for（）30. ---Could I watch TV?---No, you ________. You _________finish your homework first.A. can’t, mustB. can’t, canC. couldn’t, mustD. couldn’t, can（）31. “ When did you come home _________school yesterday?” she asked me _________surprise.A. to, withB. from, withC. to, inD. from, in（）32. Don’t _________your cut wet when doing chores, Henry. A. get B. make C. let D. keep（）33. We should _________the windows open to __________freshair in.A. keep, makeB. keep, letC. make, makeD. make, get（）34. ---Do you mind _________your room?---N o, I’l l d o t h a t a f te r f in i sh in g_________th is a r t ic le.A. clean, writeB. clean, writingC. cleaning, writeD. cleaning, writing（）35. The harder you study, __________grades you’ll get.A. goodB. betterC. bestD. the better二、完形填空(共10分)Mr. and Mrs. Green were very worried about their son, Leo. He seemed to bedumb( 哑的）16 he was normal in every other way. Mr. and Mrs. Green tried everything to get him to 17 ,but with no success.When Leo was six years old, the best doctors in the town 18 him carefully, but could find nothing wrong. And he seemed to be smart. It was just that he _19 spoke.“There might be something wrong with his 20 ，and he doesn’t know he's able to speak，’，one doctor said.“But he can read and write，，，said Mr. Green. “We’ve written him notes, telling him that he can speak. ”“It’s certainly very 21 ，” another doctor said. Perhaps he’ll be able to speak some day. ”22 passed. Leo went to university. But he did not say a 23 word. Then one day,Leo was having a meal with his parents. Without any warning, he looked up from his 24 and said，“Pass me the salt,please. ”Mr. and Mrs. Green were excited. “You spoke! You spoke!” they cried. “ Why have you 25 so long to speak?” “I didn’t have anything to say，，，he said. “Until now everything was perfect. But you forgot to put salt in potatoes. ”（）16. A. because B. when C. though D. before（）17.A. speak B. walk C. play D. laugh（）18. A. taught B. found C. examined D. asked（）19. A. never B. often C. usually D. always（）20.A. back B. hair C. face D. mind（）21. A. unfair B. strange C. noisy iet（）22. A. Hours B. Weeks C. Months D. Years（）23. A. good B. right C. single D. new（）24. A. chair B. meal G. hands D. books（）25. A. slept B. walked C. served D. waited三、阅读理解（每小题2 分，共40分）AIt’s important for us to be healthy. But how can we keep healthy? First,you should eat fruit and vegetables three or four times a week. Then eat some tofu every day because it’s good for people, both the young and the old. Milk is also necessary(必要的），especially for women. So you should have milk twice & day. It can help you to be strong. Next, doing more exercise is better. You can do morning exercises or evening exercises. After supper you should take a walk.（）26. You should eat_______ three or four times a week.A. fruit and fishB. vegetables and muttonC. tofuD. fruit and vegetables（）27. Tofu is good for ______.A. young peopleB. old peopleC. young and old peopleD. students（）28. Why do people have milk?A. It，s delicious.B. It’s a kind of drink.C. It’s bad for you.D. It can help you keep strong.（）29. You should have milk .A. four times a dayB. five times a weekC. twice a dayD. twice a week（）30. The passage mainly tells us__________.A. how to keep healthyB. what health isC. why health is importantD. how often you can eat tofuBHave you ever been to Taiwan, the biggest island of China? Do you want to visit there? We’ll show you t he best Taiwan Island.On a four-day tour.Price: Only ￥5,000Including: Round-way plane tickets between Beijing and Taiwan.Bus service around Taiwan. Best tour guide service.PlacesSun and Moon Lake A beautiful lake. A small island. On one side of the island, the lake looks like the sun, on the other side it looks like the moon. That is why people call the lake Sun and Moon Lake.Ali Mountain The nearest mountain around Sun and Moon Lake.A nice experience to have a party with Gaoshan people. A wonderful place to see a very beautiful sunrise.Peng Lake A great place for swimming, fishing, boating and eating delicious fruit and f resh fish.Gao Xiong A full day to go shopping.Book nowOffice hour Monday—Friday: 9:00 am—7:00 pm; Saturday: 9:00 am—4:00 pm Tel: 6459-9561Sold out this month Book by phone now for next month.（）31.Which is the biggest island of China?______A.Taiwan Island.B.Hainan Island.C.Diaoyu Island.D.Huangyan Island.（）32.If you go on a trip in Taiwan, where can you see the beautifulsunrise?________A.On Sun and Moon Lake.B.On Ali Mountain.C.On Peng Lake.D.In Gao Xiong.（）33.The writer of this passage wants to .A.have more people to join the tourB.tell you something about TaiwanC.ask people not to trouble them on SundayD.describe how beautiful Taiwan is（）34.If you want to visit Taiwan this month, you have to .A.visit their office on SaturdayB.phone the number 6459-9561C.turn to some other travel agenciesD.pay more to cover the same tour（）35.If you are asked to add a sentence on top of this piece of writing, which of the following would be the most proper?_________A.Taiwan is Part of ChinaB.Take the Time to Learn in Your HolidayC.The Biggest Island of Chinae and Join Us for Your HolidayCDo you know the story about Vince? It was a true story. Vince was an English boy and he was eight years old. He didn't like soap or water. Three or four times a day his mother said to him, “Vince, your hands are very dirty again.” Go and wash them. ” But Vince never washed them well. He only put his hands in the water for a few seconds and then took them out again.Vince’s uncle and aunt lived in another city. One day they came to stay with Vince’s parents, and they broug ht their small son, Toby, with them. Toby was seven years old and he didn’t like soap or water, ei ther.The boys sat with their parents for a few minutes and then they went outside. When they were playing, Vince looked at Toby's hands and then went back to Toby’s parents and said proudly (骄傲地），“Toby’s hands are dirtier than mine, ”“Of course they are，”Toby said angrily. “You are one year older than I am, ”（）36. Vince’s mother asked him to______three or four times a day.A. wash his handsB. do his homeworkC. clean his bedroomD. wash his teeth（）37.When Vince saw Toby’s hands, he felt________.A, sorry B. proud C. sad D. terrible（）38.Vince’s hands were a little______than Toby’s.A. dirtierB. cleanerC. biggerD. smaller（）39.From the story we know that_______ .A. Vince liked soap and water, but Toby didn’tB.Toby liked soap and water，but Vince didn’tC. Vince and Toby liked soap and waterD.Vince and Toby didn’t like soap or water（）40. How many people are there in the story?A. Four.B. Five.C. Six.D. Seven,DWhen I was about 12，a girl in my class liked to point out (指出）my problems.I was too thin；I wasn’t a good student；I talked too much；I was too proud (骄傲），and so on. At last，I became very angry and ran to my father.He listened to me quietly. Then he asked, “Are these things true or not? Do you know what you are really like? Go and make a list of what she said and find the things that are true. ”I did as he told me. To my great surprise, I discovered (发现）that about half of the things were true. Some of them I couldn’t change (改变)(like being very thin). But there were things I could and wanted to change. For the first time, I got a clear picture of myself.I brought the list back to Dad. He didn’t take it, “That’s just for you，” he said “You know the truth (真相）about yourself better than anyone else. When people say something that is true about you，you should find it helpful. ’，Our world is full of people who think they know your matter. Don’t be angry and feel hurt. Listen to them.根据短文内容，判断正(T)误(F)。