北京市101中学2009-2010学年上学期期中考试八年级英语试卷

2011-2012学年第一学期期中初二英语试卷班级_________ 姓名_________ 成绩__________第一部分（选择题 共67分）一、听力理解（共15小题；每小题1分，共15分）第一节：听对话，选择与对话内容相符的图片，将代表图片的字母填在相应的括号内，每段对话读一遍。

（共6分，每小题1分）1. ( )2. ( )3. ( )听第四段至第六段对话，完成4-6小题。

A.B. C. D.4. ( )5. ( )6. ( )第二节：听对话，选择正确的答案。

每段对话读两遍。

（共9分，每小题1分） 请听下面一段对话，回答7-8小题。

( )7. What does Tom usually do on weekends ?A. Play basketball.B. Play tennis.C. Play baseball.( )8.How often does Tom play it ?A. NeverB. Once a week.C. Twice a week.请听下面一段对话，回答9-10小题。

( )9. Where is the man going for next vacation ?A. ParisB. HawaiiC. Italy( )10. How long is he staying there ?A. For two weeks.B. For five weeks.C. For three weeks.听下面的对话，完成第11-12小题。

( )11. Who is the man talking with ?A. Lucy.B. Lily.C. Linda.( )12. Is Lucy taller than Lily ?A. Yes, she is.B. No, she isn’t.C. We don’t know.听下面的对话，完成第13-15小题。

( )13. John’s birthday party is on ___________ .A. Saturday, November 20th .B. Sunday, November 20thC. Saturday, November 21st( 14. What time does the party start?A. At 7:50.B. At 7:30.C. At 7:00.( )15. Who does Annie have to meet at the station first?A. Her father.B. Her mother.C. Her cousin.请打开试卷第二部分请看第一大题听力试题二、单项选择（共13分；每小题1分，共13分）( )16. Mr. Wang is very friendly, and ______ like him very much.A. weB. usC. ourD. ours( )17. — How are you going to the Summer Palace?—We’re going there ______ bike.A. forB. atC. ofD. by( )18. ________ no one wants to read the book, they have to read it.A. SoB. AlthoughC. AndD. But( )19. — Where are you going, Li Lei?—I’m going to the ______ to see a movie.A. bookB. supermarketC. cinemaD. mountain( )20. The girl isn’t short . She is ______ than before.A. shortB. tallC. tallerD. shorter( )21. — ______ does Tom surf the Internet ?—Twice a week .A. How muchB. How manyC. How longD. How often( )22. There’s _______in today’s newspaper. It’s helpful to our study.A. something importantB. important somethingC. nothing importantD. important anything( )23. — What did you do last weekend?— I ______ shopping with my friends.A. goB. went C . will do D. have gone( )24. Thanks for ___________ my daughter to your birthday party .A. askingB. asksC. askD. to ask( )25. You’re too tired. You _______ have a good rest.A. shouldB. canC. mayD. shouldn’t( )26. My coat is too small, so I’m _________.A. going fishingB. going swimmingC. going shopping D going camping( )27. I think it’s important ______ healthy.A. keepB. keepingC. keepsD. to keep( )28. — Can you play tennis with me?—______. I have to study for a math test.A. That sounds goodB. I’m sorry, I can’tC. I’d love toD. Thank you三、完形填空（共12分；每小题1分，共12分）阅读下面两篇短文，掌握大意，然后从各题所给的四个选项中，选出最佳选项。

北京101中学2017-2018学年上学期高一年级期中考试英语试卷本试卷共120分。

考试时间100分钟。

第一部分：听力理解（共三节，20分）第一节（共5小题：每小题1分，共5听下面5段对话。

每段对话后有一道小题，从每题所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你将有10秒钟时间来回答有关小题和阅读下一小题。

每段对话你将听一遍。

1. When does the man go to sleep?A. At 5.B. At 7.C. At 10.2. What does the woman advise the man to do?A. To go to bed early.B. To catch the later flight.C. To ask for a morning call.3. Which skirt does the woman want to try?A. The brown one.B. The black one.C. The yellow one.4. What does Mr. Taylor do?A. A dentist.B. A secretary.C. A clerk.5. Which of the following is Daniel?A. B. C.第二节（共10小题：每小题1分，共10分）听下面4段对话或独白。

每段对话或独白后有几道小题，从每题所给的A、B、C三个选项中选出最佳选项。

每段对话或独白你将听两遍。

听第6段材料，回答第6至7题。

6. What did the man do on the weekend?A. He rested at home.B. He ran in the park.C. He did his homework.7. When did the woman go to the concert?A. On Sunday.B. On Saturday.C. On Friday.听第7段材料，回答第8至9题。

北京101中学2019-2020学年上学期初中八年级期中考试数学试卷（考试时间：100分钟 满分：100分）一、选择题：本大题共10小题，每题2分，共20分。

1. 下列平面图形中，不是．．轴对称图形的是（ ）A. B. C. D.2. 下列运算正确的是（ ） A. 235a b ab += B .(ab)2=a 2b 2C. 236a a a ⋅=D. 235()a a =3. 如果等腰三角形的一个内角等于110°，则它的底角是（ ） A. 35° B. 55° C. 70° D. 35°或70°4. 已知：21m =，23n =，则2m n +=（ ） A. 2B. 3C. 4D. 65. 如图，在△ABC 中，AB =AC ，D 是BC 的中点，下列结论不正确．．．的是（ ）A. ∠B =∠CB. AD ⊥BCC. AD 平分∠BACD. AB =2BD6. 如图，△ACB ≌△DCE ，且∠BCE =60°则∠ACD 的度数为（ ）A. 40°B. 50°C. 60°D. 70°7. 如图，在∠ACB 的两边上分别取点A 、B 使得CA =CB ，将两个全等的直角三角板的直角顶点分别放在点A 、B 处，一条直角边分别落在∠ACB 的两边上，另一条直角边交于点P ，连接CP ，则判定△ACP ≌△BCP 的依据是（ ）A. AASB. ASAC. SSSD. HL8. 点P （2，3）关于x 轴的对称点是（ ） A. （2，-3）B. （-2，3）C. （-2，-3）D. （-3，-2）9. 如图，△ABC 中，∠ABC =∠ACB ，D 为BC 上的一点，BF =CD ，CE =BD ，则∠EDF 等于（ ）A. 90° -∠AB. 90° -21∠A C. 180° -∠A D. 45° -21∠A 10. 如图，等腰Rt △ABC 中，∠BAC =90°，AD ⊥BC 于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 。

北京101中学2019-2020学年八年级上学期期中英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．My mother is a teacher. She loves students very much.A．her B．his C．my D．your 2．The answers ________ my questions about doing sports are very different.A．of B．for C．on D．to3．The Chinese Character Dictation Contest is ________ educational program.Many students love it.A．the B．a C．an D．/4．Mom often tells me ________ computer games too much.A．not to play B．not play C．not playing D．to play 5．Although they felt tired, ________ they still went on working.A．and B．but C．/D．so6．— _________ do they play football?— Every day.A．How soon B．How much C．How many D．How often 7．Which subject is _____ , physics or chemistry?A．interesting B．most interestingC．more interesting D．the most interesting8．－What are you doing now, Kate?－I _________ an email to my friend.A．write B．wrote C．have written D．am writing 9．Nanjing is one of _______ capital ______ in China.A．older; city B．the oldest; cities C．oldest; cities D．the older; city 10．Where ________ you ________ yesterday?A．do,go B．did,go C．did,went D．was,go二、短文选词填空Should friends be the same or different? Let's read about what Huang Lei thinks.It's not necessary to be the same.My best friend Larry is quite ________ me.He is taller and more outgoing than me.We both like ________, but he plays tennis better, so he always wins.However, Larry often helps to ________ the best in me.So I'm getting better atrry is much less hard working, ________.I always get better grades than he does, so maybe I should help him more.11．A．similar to B．different from C．pleased with D．same with 12．A．music B．movies C．reading D．sports13．A．keep up B．bring out C．take off D．pick up14．A．too B．either C．though D．instead三、完型填空The Pecan (山核桃) ThiefWhen I was six years old, I was visiting my grandfather's farm in Kansas.Grandpa had sent me into the woods to gather pecans for us to enjoy later.Pecan picking was really ____15____ work and my little basket was only half full.I wasn't about to ____16____ Grandpa down.Just then something caught my eye.A large brown squirrel was a few feet away.I watched as he picked up a pecan, hurried to a treeand____17____ in a large hole in the trunk.A moment later the squirrel jumped out and climbed down to the ground to pick up another nut.Once again, he took the pecan back to his hiding place.The hiding place was not so secret anymore, I thought.I rushed over to the tree and looked into the hole.It was ____18____ with pecans! Golden pecans were right there for taking.This was my ____19____.Handful by handful, I scooped all of those pecans into my basket.Now it was full! I was so ____20____ of myself.I couldn't wait to show Grandpa all the pecans.So I ran back and shouted, “Look at all the pecans!” He looked into the basket and said, “Well, well, how did you find so many?” I told him how I'd ____21____ the squirrel and taken the pecans from his hiding place.Grandpa congratulated me on how smart I'd been in watching the squirrel and his habits.Then he did something that ____22____ me.He handed the basket back to me and put his arm gently around my shoulders and said.“But a good man should never take advantage of someone else's hard work.”Suddenly I felt a bit sorry.There was only one thing I could do.I carried the basket backto the tree and poured all the nuts into the hole.15．A．hard B．dirty C．light D．easy16．A．let B．settle C．have D．keep17．A．joined B．lived C．discovered D．disappeared 18．A．covered B．filled C．rebuilt D．repaired 19．A．turn B．choice C．chance D．achievement 20．A．afraid B．ashamed C．careful D．proud21．A．driven B．followed C．protected D．caught 22．A．hurt B．satisfied C．surprised D．pleased 四、阅读单选Some girls are talking about their best friends.23．Mary is from ________.A．America B．Canada C．AustraliaD．Japan24．________ moved to America when she was 12 years old.A．Lily B．Lucy C．Betty D．Yamato 25．Yamato and Dick both ___________.A．often study together B．take care of FancyC．like telling jokes D．look confidentMy mother only had one eye.I never wanted her to show up at my school.One day during elementary school, I was terribly ill.My mother came.“Your mom only has one eye!” yelled some of my classmates.I wished my mother would have just disappeared.“If you embarrass (使......尴尬) me, why don't you just die?” I shouted at her, taking no notice of the sad look on her face.My mother just handed me some medicine and left without saying anything.At that time, I didn't think I had hurt her feelings very much.That night I saw my mom crying in her room.Even so, I hated her tears from one eye.I made a decision：I must study hard and leave my mother.Years later my dream came true.I was quite successful.I never thought of going back to see my “ugly” mother until one day I got a letter.“My son, I'm sorry I only have one eye.When you were little, you got into an accident and lost your eye.As a mom, I couldn't stand watching you live with only one eye, so I gave you mine.I was never angry with you and I never regretted it because I love you.I cried out aloud.Only then did I realize how beautiful my mother was!26．Why didn't the writer want his mom to show up at his school?A．Because he thought she was ugly.B．Because his mom had a terrible illness. C．Because his mom couldn't see anything.D．Because his classmates didn't like her. 27．The writer's mom lost one eye because __________.A．she had a serious car accident B．she used it to save her son's sight C．she was born with only one eye D．she cried too much28．What can we infer from the passage?A．The writer doesn't like his mother now.B．The mother was very angry with the writer when he shouted at her.C．The writer lived in the same city as his mother.D．The writer was very sorry after he knew his mother gave him her eye.Today, people care about their health much more than before and want to get a well-toned body shape, this is because when we are in good shape, it makes us feel fit and healthy.We feel good about ourselves and feel much more confident than before.When you want to tone up your body, just workouts will not do.You have to take care of your overall health by eating proper food, doing the right kind of exercises and keeping yourself happy.The first thing that needs to be done is to reduce the intake(摄入) of calories(卡路里).The calories content (含量) of each meal should not be higher than 400 calories.Ideally, one is well advised to have six meals in a day.There should be a gap(间隔) of three hours between each meal.Fresh vegetables, fruits, egg white, fish, chicken breast are some of the food that can provide you with the right nutrients(养分), at the same time will help you to get in shape.Many people make the mistake of avoiding strength training when they are trying for weight loss.They think that strength training will increase their body weight.However, this is not true.Be careful not to over exercise in order to lose weight fast.Too much of exercise can cause injury to you.Drinking 8-10 glasses of water can help in reducing fat.If you drink ice cold water, then it will burn out some extra calories from your body.This is because when you are drinking cold water, your body needs to raise the temperature of the water up to your body temperature.In this process, almost one calorie of fat gets burned from the body.Drinking a glass of water before a meal will be helpful in this regard.You can get a healthy body only if your mind is free from stress.Stress can also lead to other health problems like high blood pressure, upset stomach, headaches, etc.For all these reasons, special efforts need to be taken to relax your mind.29．Many people don't do strength training because_______.A．they think it can cause injury B．they think it loses weight too fast C．they think it can help to reduce fat D．they think it makes them put on weight 30．From the fourth paragraph we can know_______.A．cold water can help lose weight better than hot waterB．cold water burns out fewer calories than hot waterC．cold water can raise the temperature of your bodyD．cold water brings your body some extra calories31．What does the writer mainly try to tell us?A．How to work out at home.B．How to get free from stress.C．How to get a right shape.D．How to train strength.Pictures That Don't Last“YEARS ago when I was at the Grand Canyon, I remember someone coming up to the canyon's edge, taking a shot with their camera and then walking away, like ‘got it–done', barely even glancing at the magnificent (壮观的) scene sprawling (展开) in front of them,” Linda Henkel, a scientist at Fairfield University, US told Live Science.Henkel was surprised by how obsessed (着迷的) people are with taking pictures these days – before dinner, during friends' birthday parties, on museum tours and so on.You know people just like that, don't you?They keep taking pictures because they think that it helps record the moment, but as Henkel's latest study has just found out, this obsession may prevent their brains from remembering what actually happened, reported The Guardian.In her study, Henkel led a group of college students around a museum and asked them to simply observe 15 objects and to photograph 15 others.The next day the students' memory of the tour was tested, and the results showed that they were less accurate in recognizing the objects and they remembered fewer details about them if they photographed them.“When people rely on technology to remember for them – counting on the camera to record the event and thus not needing to attend to it fully themselves, it can have a negative effect on how well they remember their experiences,” Henkel explained.But there is also an exception: if students zoomed (缩放) in to photograph part of an object, their memory actually improved, and those who focused the lens (镜头) on a specific area could even recall parts that weren't in the frame.So basically, this study is saying that constantly taking pictures can harm your memory.But shouldn't reviewing pictures we have taken help wake up our memories? This is true, but only if we spend enough time doing it.“In order to remember, we have to access（接近）and interact with the photos, ratherthan just amassing them,” Henkel told The Telegraph.However, previous research has shown that most people never take the time to look over their digital pictures simply because there are too many of them and they aren't usually very organized on their computers.32．The author mentioned Henkel's trip to the Grand Canyon at the beginning to ______. A．complain about some tourists' bad habits B．give suggestions on how to enjoy one's tourC．describe the great view of the Grand Canyon D．point out people's obsession with taking pictures33．Which of the following statements about Henkel's study is TRUE?A．Reviewing pictures always helps people bring back memories.B．Taking pictures in a museum tour helps students recognize objects better.C．Pictures that focus on the details of objects are likely to improve people's memories. D．People should spend more time studying real objects than taking pictures of them. 34．The underlined word “amassing” in the last paragraph probably means ______. A．displaying B．collecting C．introducing D．remembering 35．What is the article mainly about?A．How pictures remind us of our past.B．Some skills to learn for taking pictures.C．How to deal with pictures after taking trips.D．People's obsession with taking pictures and its influence.五、阅读回答问题阅读短文，根据短文内容回答问题。

2023-2024学年北京101中学教育集团八年级（上）期中英语试卷第一部分听力理解本部分共13题，共26分。

根据题目要求，完成相应任务。

一、听后选择。

听下面3段对话或独白。

每段对话或独白后有两个小题，从每题所给的A、B、C三个选项中选出最佳选项。

每段对话或独白你将听两遍。

1．（3分）（1）Why does Mary like Lisa？A.Because they look similar.B.Because Lisa is a good listener.C.Because Lisa is better at singing.（2）What's the difference between Mary and Lisa？A.Lisa is quieter than Mary.B.Mary is smarter than Lisa.C.Lisa is taller than Mary.2．（3分）（1）Where did Nelly spend her National Holiday？A.At her home.B.At Children's Hospital.C.At Children's Home.（2）What did Nelly do there？A.She fed the children.B.She cleaned their rooms.C.She sang songs for children.3．（3分）（1）Why did people set up the club？A.To provide young people with useful advice.B.To help older people learn computer knowledge.C.To make young people and older people get closer.（2）What can people do in the club on weekends？A.They can watch films and tell stories.B.They can share experience after cooking classes.C.They can play computer games and do housework.二、听后回答。

北京101中学2020-2021学年上学期初中八年级期中考试英语试卷本试卷满分100分，考试时间100分钟。

一、听后选择（共15分，每小题1 5分）听对话或独白，根据对话或独白的内容，从下面各题所给的A、B、C三个选项中选择最佳选项。

每段对话或独白你将听两遍。

请听一段对话，完成第1至第2小题。

1 How often does Sam go onlineA Once a weeB Twice a weeC Three times a wee2 What does Elia use the Internet forA She uses it for funB She uses it for homeworC She uses it forfortable Always be clean Shower, brush your teeth, and try to loo nice16 _________ in clean clothes that mae you feel good and comfortableSmile more often Try to smile more often ate trueBLong time ago, there were two talented boys, John and Joey They showed great talents from an early age, and they did better than others aroundThey grew umunities and the environment The munities can benefit economically, and yet at the same time, mae sure that the tourist areas are eing closer with the helmon natural food color Some scientists say that as a result, our brain doesn’t recognie blue food as something healthy or safe to eat This is e ufortableAlways be clean Shower, brush your teeth and, try to loo nice Dress in clean clothes that mae you feel good and comfortable Those mae you feel more confident The more confident you are, the more easily you mae friends ★Smile more oftenTry to smile more often at to thin that you are friendly Then they will tal to you more even if they don't now you ★Just talSome now that you care★Read the newsDon't just stay at home and do nothing Surf the net for news and information, and tal about it when you're with friends 214。

2023北京房山初二（上）期中英语本调研卷共8页。

共t0分。

考试时长9分钟。

考生务必将答起答在答题卡上，在调研卷上作答无效。

调研结束后，将答题卡交回，调研老自行保存。

第一部分本部分共28题，共0分，在每题列出的四个选项中，选出最符合题自要求的一项。

一、单项填空（每题1分，共8分》从下面各题所给的A、B、C、D四个选项中，选择可以填入空白处的最佳选项。

1.My brother loves ball games and basketball is________favorite.A.herB.hisC.myD.your2.Animal World begins________8:30p.m.every day on CCTV1.It’s a great TV program.A.inB.onC.atD.to3.—Mum,________I finish my homework first?—Yes,you must.A.mustB.shouldC.canD.may4.Anezka Indrackova was________athlete in Beijing Winter Olympic Games.A.youngB.youngerC.youngestD.the youngest5.—________was Janek Mela when he got to the North Pole?—He was only15years old then.A.How oldB.How longC.How farD.How many6.Cathy was ill yesterday________she didn’t come to school.A.becauseB.orC.butD.so7.—How did you spend the Mid-Autumn Festival last month,Adam?—I________moon cakes and watched the full moon with my family.A.eatB.ateC.am eatingD.will eat8.The weatherman says it________tomorrow morning.A.rainsB.rainedC.was rainingD.will rain二、完形填空（每题1分，共8分)阅读下面的短文。

2021-2022学年八年级（上）期中英语试卷一、单选。

（本大题共10小题，每小题1分，共10分。

）1．（1分）_____________ is the population of China？（）A．What B．How many C．How much D．How2．（1分）Which sport are you _____________，hockey or judo？（）A．good in B．better at C．well in D．well at3．（1分）Beijing is one of _______ in China．（）A．larger city B．larger citiesC．the largest city D．the largest cities4．（1分）My grandfather wants _______ around the world because he looks forward to _______ new places．（）A．travelling；seeing B．to travel；to seeC．to travel；seeing D．travelling；to see5．（1分）The funny look made Lucy all the time．（）A．laugh B．laughing C．to laugh D．laughed6．（1分）—Who tidied the room？—_____________.I went to the kitchen just now.（）A．That's right B．That's greatC．No idea D．No problem7．（1分）Why not _____________ a picnic this weekend？（）A．having B．have C．to have D．had8．（1分）—Tony isn't as _____________ as Peter.He always leaves his homework at home.—I can't agree more.Peter is much _____________ than Tony.（）A．carelessly；more carefullyB．carefully；carelessC．careless；more carefullyD．careful；more careful9．（1分）—_____________ do you go to school？—I go by bus.（）A．What B．When C．How D．Where10．（1分）—It is difficult _____________ new faces in the new term.—That's why I suggest you let each student prepare a name card on the table.It's the best way to help.（）A．for me to remember B．of me to rememberC．for me remembering D．of me remembering二、完形填空。

2022-2023学年北京市101中学八年级（上）期中数学试卷试题数：25.满分：1001.（单选题.3分）下面四个图形是我校校训“百尺竿头.更进一步”中某个字的小篆体.其中是轴对称图形的是（）A.B.C.D.2.（单选题.3分）在Rt△ABC中.已知∠ACB是直角.∠B=55°.则∠A的度数是（）A.55°B.45°C.35°D.25°3.（单选题.3分）下列长度的三条线段.能组成三角形的是（）A.3.4.7B.6.7.12C.6.7.14D.3.4.84.（单选题.3分）如图所示.亮亮书上的三角形被墨迹污染了一部分.很快他就根据所学知识画出一个与书上完全一样的三角形.那么这两个三角形完全一样的依据是（）A.ASAB.SASC.AASD.SSS5.（单选题.3分）在平面直角坐标系xOy中.已知点A（3.-1）.则点A关于x轴的对称点的坐标是（）A.（3.1）B.（-3.1）C.（-3.-1）D.（-1.3）6.（单选题.3分）如图.△ABC≌△ADE.如果∠B=80°.∠C=30°.∠DAC=25°.那么∠EAC的度数为（）A.40°B.35°C.45°D.25°7.（单选题.3分）等腰三角形的一个角是80°.它的底角的大小为（）A.80°B.20°C.80°或20°D.80°或50°8.（单选题.3分）如图.BE=CF.AE⊥BC.DF⊥BC.要根据“HL”证明Rt△ABE≌Rt△DCF.则还需要添加一个条件是（）A.AE=DFB.∠A=∠DC.∠B=∠CD.AB=DC9.（单选题.3分）如图.等边△ABC的边长为8.AD是BC边上的中线.F是AD边上的动点.E是AC边上一点.若AE=4.则当EF+CF取得最小值时.∠ECF的度数为（）A.22.5°B.30°C.45°D.15°10.（单选题.3分）如图.在Rt△ABC中.∠ACB=90°.∠BAC的平分线交BC于点D.过C点作CG⊥AB于点G.交AD于点E.过D点作DF⊥AB于点F．下列结论中正确的个数是（）① ∠CED=∠CDE；② S△AEC：S△AEG=AC：AG；③ ∠ADF=2∠FDB；④ CE=DF．A.1B.2C.3D.411.（填空题.3分）若一个多边形的边数是7.则该多边形的内角和是 ___ 度．12.（填空题.3分）如图.点D在△ABC的边BC的延长线上.若∠B=45°.∠ACD=150°.则∠A的大小为 ___ ．13.（填空题.3分）如图.△ABC中.D、E分别是BC.AD的中点.△ABC的面积是20.则阴影部分的面积是 ___ ．14.（填空题.3分）如图.AD⊥BC.BD=CD.点C在AE的垂直平分线上.若AB=5.BD=3.则BE的长为 ___ ．15.（填空题.3分）如图.在△ABC中.∠B=∠C=60°.点D为AB边的中点.DE⊥BC于E.若BE=1.则AC的长为___ ．16.（填空题.3分）如图.∠ACB=90°.AC=BC．AD⊥CE.BE⊥CE.垂足分别是点D、E.AD=3.BE=1.则DE的长是___ ．17.（填空题.3分）如图.已知等边△ABC中.BD=CE.AD与BE相交于点P.则∠APE的度数是___ °．18.（填空题.3分）如果一条线段将一个三角形分割成2个小等腰三角形.我们把这条线段叫做这个三角形的“好线”；如果两条线段将一个三角形分割成3个小等腰三角形.我们把这两条线段叫做这个三角形的“好好线”．（1）如图.在△ABC中.AB=AC.点D在AC边上.且AD=BD=BC.则∠A=___ 度；（2）在△ABC中.∠B=27°.AD和DE是△ABC的“好好线”.点D在BC边上.点E在AC边上.且AD=BD.DE=CE.则∠C的度数为 ___ ．19.（问答题.5分）如图.已知AB=BC.∠BCD=∠ABD.点E在BD上.BE=CD．求证：AE=BD．20.（问答题.7分）如图.在平面直角坐标系中.A（1.2）、B（3.1）、C（-2.-1）（1）在图中作出△ABC关于y轴对称的△A1B1C1；（2）写出A1、B1、C1的坐标；（3）求△A1B1C1的面积．21.（问答题.6分）下面是小东设计的尺规作图过程．已知：如图.在Rt△ABC中.∠ABC=90°.求作：点D.使点D在BC边上.且到AB和AC的距离相等．作法：① 如图.以点A为圆心.任意长为半径画弧.分别交AB.AC于点M、N；MN的长为半径画弧.两弧交于点P；② 分别以点M.N为圆心.大于12③ 画射线AP.交BC于点D．所以点D即为所求．根据小东设计的尺规作图过程：（1）使用直尺和圆规.补全图形（保留作图痕迹）；（2）完成下面的证明．证明：过点D作DE⊥AC于点E.连接MP.NP．在△AMP与△ANP中.∵AM=AN.MP=NP.AP=AP.∴△AMP≌△ANP（SSS）．∴∠___ =∠___ ．∵∠ABC=90°.∴DB⊥AB．又∵DE⊥AC.∴DB=DE（ ___ ）（填推理的依据）22.（问答题.6分）如图.在△ABC中.AB=AC.D是BC边上的中点.连接AD.BE平分∠ABC交AC 于点E.过点E作EF || BC交AB于点F．（1）若∠C=36°.求∠BAD的度数；（2）求证：FB=FE．23.（问答题.7分）我们规定在网格内的某点进行一定条件操作到达目标点：H代表所有的水平移动.H1代表向右水平移动1个单位长度.H-1代表向左平移1个单位长度；S代表上下移动.S1代表向上移动1个单位长度.S-1代表向下移动1个单位长度.P（H_→S_）表示点P在网格内先一次性水平移动.在此基础上再一次性上下移动；（1）如图1.在网格中标出A（H2→S4）移动后所到达的目标点A'；（2）如图2.在网格中的点B到达目标点A.写出点B的移动方法 ___ ；（3）如图3.在网格内有格点线段（即端点在格点上的线段）AC.现需要由点A出发.到达目标点D.使得A、C、D三点构成的格点三角形（即顶点在格点上的三角形）是等腰直角三角形.在图中标出所有符合条件的点D的位置并写出点A的移动方法．24.（问答题.7分）在等边△ABC外侧作直线AP.点B关于直线AP的对称点为D.连结BD.CD.其中CD交直线AP于点E．（1）如图1.若∠PAB=30°.则∠ACE=___ ；（2）如图2.若60°＜∠PAB＜90°.请补全图形.判断由线段AB.CE.ED可以构成一个含有多少度角的三角形.并说明理由．25.（问答题.8分）如图.在平面直角坐标系xOy中.经过点M（0.m）并且平行于x轴的直线可以记作直线y=m.我们给出如下的定义：点P（x.y）先关于x轴对称得到点P1.再将点P1关于直线y=m对称得点P'.则称点P'为点P关于x轴和直线y=m的二次反射点．（1）点A（2.4）关于x轴和直线y=2的二次反射点A'的坐标是 ___ ；（2）若点B（5.-2）关于x轴和直线y=m的二次反射点B的坐标是（5.6）.那么m=___ ；m）.其中m＞0.点C关于x轴和直线y=m的二次反射点是C'.求（3）若点C的坐标是（0. 32线段CC'的长（用含m的式子表示）；（4）已知一个三角形的三个顶点坐标分别为（0.0）、（3.0）、（2.2）.如果点P（2.1）.Q （2.2）关于x轴和直线y=m的二次反射点分别为P'.Q'.且线段P'Q'与三角形的边没有公共点.直接写出m的取值范围．2022-2023学年北京市101中学八年级（上）期中数学试卷参考答案与试题解析试题数：25.满分：1001.（单选题.3分）下面四个图形是我校校训“百尺竿头.更进一步”中某个字的小篆体.其中是轴对称图形的是（）A.B.C.D.【正确答案】：A【解析】：根据轴对称图形的定义分别判断得出答案．【解答】：解：A．是轴对称图形.故此选项符合题意；B．不是轴对称图形.故此选项不合题意；C．不是轴对称图形.故此选项不合题意；D．不是轴对称图形.故此选项不合题意．故选：A．【点评】：本题主要考查轴对称图形的定义.熟练掌握轴对称图形的定义是解决本题的关键．2.（单选题.3分）在Rt△ABC中.已知∠ACB是直角.∠B=55°.则∠A的度数是（）A.55°B.45°C.35°【正确答案】：C【解析】：根据直角三角形的两锐角互余求出即可．【解答】：解：在△ABC中.∠ACB=90°.∴∠B+∠A=90°.∵∠B=55°.∴∠A=35°.故选：C．【点评】：此题考查了直角三角形的性质.熟记“直角三角形的两锐角互余”是解题的关键．3.（单选题.3分）下列长度的三条线段.能组成三角形的是（）A.3.4.7B.6.7.12C.6.7.14D.3.4.8【正确答案】：B【解析】：根据三角形的三边关系判断即可．【解答】：解：A、∵3+4=7.∴不能组成三角形.本选项不符合题意；B、∵6+7＞12.∴能组成三角形.本选项符合题意；C、∵6+7＜14.∴不能组成三角形.本选项不符合题意；D、∵3+4＜8.∴不能组成三角形.本选项不符合题意；故选：B．【点评】：本题考查的是三角形的三边关系.熟记三角形两边之和大于第三边、三角形的两边差小于第三边是解题的关键．4.（单选题.3分）如图所示.亮亮书上的三角形被墨迹污染了一部分.很快他就根据所学知识画出一个与书上完全一样的三角形.那么这两个三角形完全一样的依据是（）A.ASAB.SASD.SSS【正确答案】：A【解析】：全等三角形的判定定理有SAS.ASA.AAS.SSS.根据定理得出即可．【解答】：解：画一个三角形A′B′C′.使∠A′=∠A.A′B′=AB.∠B′=∠B.符合全等三角形的判定定理ASA.故选：A．【点评】：本题考查了全等三角形的判定定理的应用.能灵活运用定理进行推理是解此题的关键.注意：全等三角形的判定定理有SAS.ASA.AAS.SSS.直角三角形全等还有HL定理．5.（单选题.3分）在平面直角坐标系xOy中.已知点A（3.-1）.则点A关于x轴的对称点的坐标是（）A.（3.1）B.（-3.1）C.（-3.-1）D.（-1.3）【正确答案】：A【解析】：根据关于x轴对称的两个点的坐标的特征进行判断即可．【解答】：解：∵关于x轴对称的两个点.其横坐标不变.纵坐标互为相反数.∴点A（3.-1）关于x轴的对称点的坐标是（3.1）.故选：A．【点评】：本题考查关于x轴对称的点的坐标.掌握“关于x轴对称的两个点.其横坐标不变.纵坐标互为相反数”是正确解答的关键．6.（单选题.3分）如图.△ABC≌△ADE.如果∠B=80°.∠C=30°.∠DAC=25°.那么∠EAC的度数为（）A.40°B.35°C.45°D.25°【正确答案】：C【解析】：根据三角形的内角和定理列式求出∠BAC.再根据全等三角形对应角相等可得∠DAE=∠BAC.然后根据∠EAC=∠DAE-∠DAC代入数据进行计算即可得解．【解答】：解：∵∠B=80°.∠C=30°.∴∠BAC=180°-80°-30°=70°．∵△ABC≌△ADE.∴∠DAE=∠BAC=70°．∴∠EAC=∠DAE-∠DAC=70°-25°=45°．故选：C．【点评】：本题考查了全等三角形的性质和三角形内角和定理的应用.注意：全等三角形的对应角相等.对应边相等．7.（单选题.3分）等腰三角形的一个角是80°.它的底角的大小为（）A.80°B.20°C.80°或20°D.80°或50°【正确答案】：D【解析】：因为题中没有指明该角是顶角还是底角.则应该分两种情况进行分析．（180°-80°）=50°；【解答】：解：① 当顶角是80°时.它的底角= 12② 底角是80°．所以底角是50°或80°．故选：D．【点评】：本题考查了等腰三角形的性质及三角形内角和定理；若题目中没有明确顶角或底角的度数.做题时要注意分情况进行讨论.这是十分重要的.也是解答问题的关键．8.（单选题.3分）如图.BE=CF.AE⊥BC.DF⊥BC.要根据“HL”证明Rt△ABE≌Rt△DCF.则还需要添加一个条件是（）A.AE=DFB.∠A=∠DC.∠B=∠CD.AB=DC【正确答案】：D【解析】：根据垂直定义求出∠CFD=∠AEB=90°.再根据全等三角形的判定定理推出即可．【解答】：解：条件是AB=CD.理由是：∵AE⊥BC.DF⊥BC.∴∠CFD=∠AEB=90°.在Rt△ABE和Rt△DCF中..{AB=CDBE=CF∴Rt△ABE≌Rt△DCF（HL）.故选：D．【点评】：本题考查了全等三角形的判定定理的应用.能灵活运用全等三角形的判定定理进行推理是解此题的关键．9.（单选题.3分）如图.等边△ABC的边长为8.AD是BC边上的中线.F是AD边上的动点.E是AC边上一点.若AE=4.则当EF+CF取得最小值时.∠ECF的度数为（）A.22.5°B.30°C.45°D.15°【正确答案】：B【解析】：过E作EM || BC.交AD于N.连接CM交AD于F.连接EF.推出M为AB中点.求出E 和M关于AD对称.根据等边三角形性质求出∠ACM.即可求出答案．【解答】：解：过E作EM || BC.交AD于N.∵AC=8.AE=4.∴EC=4=AE.∴AM=BM=4.∴AM=AE.∵AD是BC边上的中线.△ABC是等边三角形.∴AD⊥BC.∵EM || BC.∴AD⊥EM.∵AM=AE.∴E和M关于AD对称.连接CM交AD于F.连接EF.则此时EF+CF的值最小.∵△ABC是等边三角形.∴∠ACB=60°.AC=BC.∵AM=BM.∠ACB=30°．∴∠ECF= 12故选：B．【点评】：本题考查了轴对称-最短路线问题.等边三角形的性质.等腰三角形的性质.平行线分线段成比例定理等知识点的应用．10.（单选题.3分）如图.在Rt△ABC中.∠ACB=90°.∠BAC的平分线交BC于点D.过C点作CG⊥AB于点G.交AD于点E.过D点作DF⊥AB于点F．下列结论中正确的个数是（）① ∠CED=∠CDE；② S△AEC：S△AEG=AC：AG；③ ∠ADF=2∠FDB；④ CE=DF．A.1B.2C.3D.4【正确答案】：C【解析】：由∠ACB=90°.CG⊥AB得∠ACE=∠B.再由三角形外角的性质得∠CED=∠CDE.得CE=CD；根据角平分线的性质.得CD=DF.根据等高的两个三角形面积之比等于底边之比得出S△AEC：S△AEG=AC：AG；等量代换得CE=DF.从而得出答案．【解答】：解：∵AD平分∠BAC.∴∠CAD=∠BAD.∵∠C=90°.∠CGA=90°.∴∠CDE=90°-∠CAD.∠AEG=90°-∠BAD.∴∠AEG=∠CDE.∴∠CED=∠CDE.故① 正确；如图.过点E作EH⊥AC于点H.则EH=EG.∴S△AEC= 12AC•EH= 12AC•EG.∵S△AEG= 12AG•EG.∴S△AEC：S△AEG=AC：AG.故② 正确；无法证明∠ADF=2∠FDB；∵∠CED=∠CDE.∴CE=CD.∵AD平分∠BAC.∠C=90°.DF⊥AB.∴CD=DF.∴CE=DF.故④ 正确.故选：C．【点评】：此题主要考查角平分线的性质：角的平分线上的点到角的两边的距离相等．也考查了直角三角形的性质和三角形的面积．11.（填空题.3分）若一个多边形的边数是7.则该多边形的内角和是 ___ 度．【正确答案】：[1]900【解析】：由多边形的内角和定理.即可计算．【解答】：解：∵（7-2）×180°=900°.∴该多边形的内角和是900°.故答案为：900．【点评】：本题考查多边形的内角和定理.关键是掌握：多边形内角和定理：（n-2）•180° （n≥3且n为整数）．12.（填空题.3分）如图.点D在△ABC的边BC的延长线上.若∠B=45°.∠ACD=150°.则∠A的大小为 ___ ．【正确答案】：[1]105°【解析】：根据三角形外角的性质求解即可．【解答】：解：∵∠ACD=∠A+∠B.又∵∠B=45°.∠ACD=150°.∴∠A=150°-45°=105°.故答案为：105°．【点评】：本题考查了三角形外角的性质.熟练掌握三角形外角的性质是解题的关键．13.（填空题.3分）如图.△ABC中.D、E分别是BC.AD的中点.△ABC的面积是20.则阴影部分的面积是 ___ ．【正确答案】：[1]5【解析】：根据三角形的中线将三角形面积分为相等的两部分可知.S△ABC=2S△ADC.S△ADC=2S△AEC.根据△ABC的面积是20解答即可．【解答】：解：∵△ABC中.D、E分别是BC.AD的中点.∴AD是△ABC的中线.CE是△ADC的中线.∴S△ABC=2S△ADC.S△ADC=2S△AEC.∴S△ABC=4S△AEC.∵△ABC的面积是20.∴△AEC的面积为5.即阴影部分的面积是5．故答案为：5．【点评】：本题考查了三角形的面积和中线的性质：三角形的中线将三角形分为相等的两部分.知道中线将三角形面积分为相等的两部分是解题的关键．14.（填空题.3分）如图.AD⊥BC.BD=CD.点C在AE的垂直平分线上.若AB=5.BD=3.则BE的长为 ___ ．【正确答案】：[1]11【解析】：由AD⊥BC.BD=DC知.点C在AE的垂直平分线上.由垂直平分线的性质得AB=AC=CE.即可得到结论．【解答】：解：∵AD⊥BC.BD=CD.∴AB=AC.∵点C在AE的垂直平分线上.∴AC=EC.∴AB=AC=CE=5.∵BD=CD=3.∴BE=BD+CD+CE=3+3+5=11.故答案为：11．【点评】：本题主要考查线段的垂直平分线的性质.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答此题的关键．15.（填空题.3分）如图.在△ABC中.∠B=∠C=60°.点D为AB边的中点.DE⊥BC于E.若BE=1.则AC的长为___ ．【正确答案】：[1]4【解析】：根据直角三角形的性质得到BD=2BE=2.求出AB.根据等边三角形的判定定理和性质定理解答即可．【解答】：解：∵DE⊥BC.∠B=∠C=60°.∴∠BDE=30°.∴BD=2BE=2.∵点D为AB边的中点.∴AB=2BD=4.∵∠B=∠C=60°.∴△ABC为等边三角形.∴AC=AB=4.故答案为：4．【点评】：本题考查的是直角三角形的性质、等边三角形的性质.掌握在直角三角形中.30°角所对的直角边等于斜边的一半是解题的关键．16.（填空题.3分）如图.∠ACB=90°.AC=BC．AD⊥CE.BE⊥CE.垂足分别是点D、E.AD=3.BE=1.则DE的长是___ ．【正确答案】：[1]2【解析】：根据条件可以得出∠E=∠ADC=90°.进而得出△CEB≌△ADC.就可以得出BE=DC.就可以求出DE的值．【解答】：解：∵BE⊥CE.AD⊥CE.∴∠E=∠ADC=90°.∴∠EBC+∠BCE=90°．∵∠BCE+∠ACD=90°.∴∠EBC=∠DCA．在△CEB和△ADC中.{∠E=∠ADC∠EBC=∠DCA BC=AC.∴△CEB≌△ADC（AAS）.∴BE=DC=1.CE=AD=3．∴DE=EC-CD=3-1=2故选答案为2．【点评】：本题考查全等三角形的判定和性质、熟练掌握全等三角形的判定和性质是解决问题的关键.学会正确寻找全等三角形.属于中考常考题型．17.（填空题.3分）如图.已知等边△ABC中.BD=CE.AD与BE相交于点P.则∠APE的度数是___ °．【正确答案】：[1]60【解析】：通过证△ABD≌△BCE得∠BAD=∠CBE；运用外角的性质求解．【解答】：证明：∵△ABC是等边三角形.∴AB=BC.∠ABD=∠C=60°.在△ABD 和△BCE 中.∵ {AB =BC ∠ABC =∠C =60°BD =CE.∴△ABD≌△BCE （SAS ）.∴AD=BE ．∴∠BAD=∠CBE .∴∠APE=∠BAD+∠ABP=∠ABP+∠PBD=∠ABD=60°．故答案是：60．【点评】：本题考查了等边三角形的性质的运用.全等三角形的判定及性质的运用.三角形外角与内角的关系的运用.解答时证明三角形全等是关键．18.（填空题.3分）如果一条线段将一个三角形分割成2个小等腰三角形.我们把这条线段叫做这个三角形的“好线”；如果两条线段将一个三角形分割成3个小等腰三角形.我们把这两条线段叫做这个三角形的“好好线”．（1）如图.在△ABC 中.AB=AC.点D 在AC 边上.且AD=BD=BC.则∠A=___ 度；（2）在△ABC 中.∠B=27°.AD 和DE 是△ABC 的“好好线”.点D 在BC 边上.点E 在AC 边上.且AD=BD.DE=CE.则∠C 的度数为 ___ ．【正确答案】：[1]36; [2]18°或42°【解析】：（1）利用等边对等角得到三对角相等.设∠A=∠ABD=x .表示出∠BDC 与∠C .列出关于x 的方程.求出方程的解得到x 的值.即可确定出∠A 的度数．（2）设∠C=x. ① 当AD=AE 时.利用三角形外角的性质得到2x+x=27+27.解得x=18°； ② 当AD=DE 时.利用三角形内角和定理得到27°+27°+2x+x=180°.解得x=42°．【解答】：解：（1）∵AB=AC .∴∠ABC=∠C .∵BD=BC=AD.∴∠A=∠ABD .∠C=∠BDC ..设∠A=∠ABD=x.则∠BDC=2x.∠C= 180°−x2.可得2x= 180°−x2解得：x=36°.则∠A=36°；故答案为：36；（2）设∠C=x.① 当AD=AE时.∵2x+x=27°+27°.∴x=18°．② 当AD=DE时.∵27°+27°+2x+x=180°.∴x=42°．所以∠C的度数是18°或42°．故答案为：18°或42°．【点评】：此题考查了等腰三角形的性质.三角形外角的性质以及三角形内角和定理.熟练掌握等腰三角形的性质是解本题的关键．19.（问答题.5分）如图.已知AB=BC.∠BCD=∠ABD.点E在BD上.BE=CD．求证：AE=BD．【正确答案】：【解析】：根据题目中的条件和全等三角形判定的方法.可以写出△ABE≌△BCD成立的条件.然后即可得到AE=BD．【解答】：证明：∵∠BCD=∠ABD.∴∠BCD=∠ABE.在△ABE和△BCD中.{AB=BC∠ABE=∠BCD BE=CD.∴△ABE≌△BCD（SAS）.∴AE=BD．【点评】：本题考查全等三角形的判定与性质.解答本题的关键是明确题意.利用数形结合的思想解答．20.（问答题.7分）如图.在平面直角坐标系中.A（1.2）、B（3.1）、C（-2.-1）（1）在图中作出△ABC关于y轴对称的△A1B1C1；（2）写出A1、B1、C1的坐标；（3）求△A1B1C1的面积．【正确答案】：【解析】：（1）根据网格结构找出点A、B、C关于y轴的对称点A1、B1、C1的位置.然后顺次连接即可；（2）根据平面直角坐标系写出各点的坐标即可；（3）利用三角形所在的矩形的面积减去四周三个小直角三角形的面积.列式计算即可得解．【解答】：解：（1）△A1B1C1如图所示；（2）A1（-1.2）B1（-3.1）C1（2.-1）；（3）△A1B1C1的面积=5×3- 12 ×1×2- 12×2×5- 12×3×3.=15-1-5-4.5.=15-10.5.=4.5．【点评】：本题考查了利用轴对称变换作图.熟练掌握网格结构准确找出对应点的位置是解题的关键．21.（问答题.6分）下面是小东设计的尺规作图过程．已知：如图.在R t△ABC中.∠ABC=90°.求作：点D.使点D在BC边上.且到AB和AC的距离相等．作法：① 如图.以点A为圆心.任意长为半径画弧.分别交AB.AC于点M、N；② 分别以点M.N为圆心.大于12MN的长为半径画弧.两弧交于点P；③ 画射线AP.交BC于点D．所以点D即为所求．根据小东设计的尺规作图过程：（1）使用直尺和圆规.补全图形（保留作图痕迹）；（2）完成下面的证明．证明：过点D作DE⊥AC于点E.连接MP.NP．在△AMP与△ANP中.∵AM=AN.MP=NP.AP=AP.∴△AMP≌△ANP（SSS）．∴∠___ =∠___ ．∵∠ABC=90°.∴DB⊥AB．又∵DE⊥AC.∴DB=DE（ ___ ）（填推理的依据）【正确答案】：PAM; PAN; 角平分线上的点到角的两边的距离相等【解析】：（1）根据作图过程即可补全图形；（2）根据全等三角形的性质和角平分线的性质即可完成证明．【解答】：解：（1）如图.即为补全的图形；（2）证明：过点D作DE⊥AC于点E.连接MP.NP．在△AMP与△ANP中.∵AM=AN.MP=NP.AP=AP.∴△AMP≌△ANP（SSS）．∴∠PAM=∠PAN．∵∠ABC=90°.∴DB⊥AB．又∵DE⊥AC.∴DB=DE（角平分线上的点到角的两边的距离相等）．故答案为：PAM.PAN.角平分线上的点到角的两边的距离相等．【点评】：本题考查了作图-复杂作图.全等三角形的判定与性质.角平分线的性质.解决本题的关键是掌握角平分线的作法．22.（问答题.6分）如图.在△ABC中.AB=AC.D是BC边上的中点.连接AD.BE平分∠ABC交AC 于点E.过点E作EF || BC交AB于点F．（1）若∠C=36°.求∠BAD的度数；（2）求证：FB=FE．【正确答案】：【解析】：（1）利用等腰三角形的三线合一的性质证明∠ADB=90°.再利用等腰三角形的性质求出∠ABC即可解决问题．（2）只要证明∠FBE=∠FEB即可解决问题．【解答】：（1）解：∵AB=AC.∴∠C=∠ABC.∵∠C=36°.∴∠ABC=36°.∵BD=CD.AB=AC.∴AD⊥BC.∴∠ADB=90°.∴∠BAD=90°-36°=54°．（2）证明：∵BE平分∠ABC.∠ABC.∴∠ABE=∠CBE= 12∵EF || BC.∴∠FEB=∠CBE.∴∠FBE=∠FEB.∴FB=FE．【点评】：本题考查等腰三角形的性质.平行线的性质等知识.解题的关键是熟练掌握基本知识.属于中考常考题型．23.（问答题.7分）我们规定在网格内的某点进行一定条件操作到达目标点：H代表所有的水平移动.H1代表向右水平移动1个单位长度.H-1代表向左平移1个单位长度；S代表上下移动.S1代表向上移动1个单位长度.S-1代表向下移动1个单位长度.P（H_→S_）表示点P在网格内先一次性水平移动.在此基础上再一次性上下移动；（1）如图1.在网格中标出A（H2→S4）移动后所到达的目标点A'；（2）如图2.在网格中的点B到达目标点A.写出点B的移动方法 ___ ；（3）如图3.在网格内有格点线段（即端点在格点上的线段）AC.现需要由点A出发.到达目标点D.使得A、C、D三点构成的格点三角形（即顶点在格点上的三角形）是等腰直角三角形.在图中标出所有符合条件的点D的位置并写出点A的移动方法．【正确答案】：B（H-3→S-2）或B（S-2→H-3）【解析】：（1）点A向右平移2个单位.再向上平移4个单位得到A'；（2）点B向下平移2个单位.再向左平移3个单位得到A或向左平移3个单位.再向下平移2个单位得到A；（3）有5种情况.满足A、C、D三点构成的格点三角形是等腰直角三角形.写出从点A出发到点D的移动方法即可．【解答】：解：（1）如图1所示：（2）B（H-3→S-2）或B（S-2→H-3）；故答案为：B（H-3→S-2）或B（S-2→H-3）；（3）如图3.符合条件的点D有5个.A（H-2→S4）、A（H-1→S2）、A（H2→S1）、A（H3→S-1）、A（H4→S2）．【点评】：本题是三角形综合题.考查全等三角形的性质.理解新定义.熟知平移的符号表示是解答此题的关键．24.（问答题.7分）在等边△ABC外侧作直线AP.点B关于直线AP的对称点为D.连结BD.CD.其中CD交直线AP于点E．（1）如图1.若∠PAB=30°.则∠ACE=___ ；（2）如图2.若60°＜∠PAB＜90°.请补全图形.判断由线段AB.CE.ED可以构成一个含有多少度角的三角形.并说明理由．【正确答案】：30°【解析】：（1）根据题意作出图形.根据题意可得∠DAP=∠BAP=30°.然后根据AB=AC.∠BAC=60°.得出AD=AC.∠DAC=120°.最后根据三角形的内角和公式求解；（2）由线段AB.CE.ED可以构成一个含有60度角的三角形.连接AD.EB.根据对称可得∠EDA=∠EBA.然后证得AD=AC.最后即可得出∠BAC=∠BEC=60°．【解答】：解：（1）如图1中.连接AD．∵AB.AD关于AP对称.∴∠BAP=∠DAP=30°.∵△ABC是等边三角形.∴∠CAB=60°.∴∠CAD=120°.∵AD=AB=AC.∴∠ACE=∠ADC= 1（180°-120°）=30°．2故答案为：30°；（2）图形如图所示.线段AB.CE.ED可以构成一个含有60°角的三角形．理由：连接AD.EB.如图2．∵点D与点B关于直线AP对称.∴AD=AB.DE=BE.∴∠EDA=∠EBA.∵AB=AC.AB=AD.∴AD=AC.∴∠ADE=∠ACE.∴∠ABE=∠ACE．设AC.BE交于点F.又∵∠AFB=∠CFE.∴∠BAC=∠BEC=60°.∴线段AB.CE.ED可以构成一个含有60°角的三角形．【点评】：本题考查了根据轴对称变换作图以及等腰三角形的性质.解答本题的关键是根据轴对称的性质作出对应点的位置以及掌握等腰三角形的性质．25.（问答题.8分）如图.在平面直角坐标系xOy中.经过点M（0.m）并且平行于x轴的直线可以记作直线y=m.我们给出如下的定义：点P（x.y）先关于x轴对称得到点P1.再将点P1关于直线y=m对称得点P'.则称点P'为点P关于x轴和直线y=m的二次反射点．（1）点A（2.4）关于x轴和直线y=2的二次反射点A'的坐标是 ___ ；（2）若点B（5.-2）关于x轴和直线y=m的二次反射点B的坐标是（5.6）.那么m=___ ；m）.其中m＞0.点C关于x轴和直线y=m的二次反射点是C'.求（3）若点C的坐标是（0. 32线段CC'的长（用含m的式子表示）；（4）已知一个三角形的三个顶点坐标分别为（0.0）、（3.0）、（2.2）.如果点P（2.1）.Q （2.2）关于x轴和直线y=m的二次反射点分别为P'.Q'.且线段P'Q'与三角形的边没有公共点.直接写出m的取值范围．【正确答案】：（2.8）; 4【解析】：（1）根据二次反射点的定义直接得出答案；（2）根据二次反射点的定义得出B′（5.2m-2）.则2m-2=6.由此可得m的值；m）.则可得出答案；（3）根据二次反射点的定义得出C′（0. 72（4）根据二次反射点的定义得出P'（2.2m+1）.Q'（2.2m+2）.由题意分两种情况列出不等式组.解不等式组可得出答案．【解答】：解：（1）∵点A（2.4）.∴点A关于x轴对称得到点A1（2.-4）.∴点A1关于直线y=2对称得到点A'（2.8）．故答案为：（2.8）；（2）∵点B （5.-2）.∴点B 关于x 轴对称得到点B 1（5.2）.∴点B 1关于直线y=m 对称得到点B'（5.2m-2）.∴2m -2=6.解得m=4.故答案为：4；（3）∵点C 的坐标是（0. 32 m ）.∴点C 关于x 轴对称得到点C 1（0.- 32 m ）.∴点C 1关于直线y=m 对称得到点C'（0.2m+ 32 m ）.即C'（0. 72 m ）.∴CC′= 72 m- 32 m=2m ；（4）由题意可知.点P （2.1）.Q （2.2）关于x 轴和直线y=m 的二次反射点分别为P'（2.2m+1）.Q'（2.2m+2）.∴P′Q′ || y 轴.P′Q′=1.且2m+2＞2m+1.∴线段P'Q'与三角形的边没有公共点.有三种情况：① 2m+1＞2.解得m ＞ 12 ；② {2m +1＞02m +2＜2.解得- 12 ＜m ＜0； ③ 2m+2＜0.解得m ＜-1．综上.若线段P'Q'与三角形的边没有公共点.则m 的取值范围m ＞ 12 或- 12 ＜m ＜0或m ＜-1．【点评】：本题考查了平面直角坐标系中坐标与图形变化.考查了正方形的性质.轴对称性质.新定义二次反射点的理解和运用.解题关键是对新定义二次反射点的正确理解．。

北京101中学2019-2020学年下学期初中八年级6月月考英语试卷一、单选。

（共15分，每小题1分）1. He has a toothache. He should ___________.A. see a dentistB. drink hot tea with honeyC. drink a lot of milkD. eat nothing2. I often make breakfast ___________ hardly ever do the dishes.A. andB. butC. soD. or3. You ___________ be quiet when you are in the reading room.A. shouldB. shouldn’tC. canD. can’t4. —Could I use your computer?—No, you ___________. I need to work on it.A. couldB. couldn’tC. canD. can’t5. Mary will clean her bedroom as soon as she ___________ her homework.A. finishesB. is finishingC. will finishD. finished6. He used to ___________ very late, but now he is used to ___________ early.A. get up; getting upB. get up; get upC. getting up; get upD. getting up; getting up7. We saw his sister ___________ here at that moment.A. playsB. playedC. playingD. to play8. Jenny doesn’t exercise every day. ___________.A. So does JimB. So Jim doesC. Neither does JimD. Neither Jim does9. I ___________ some clothes to the poor kids because they are too small for me.A. take afterB. hang outC. give awayD. put off10. You look too tired. Why not ___________ a rest?A. stop to haveB. to stop havingC. stop havingD. stopping to have11. We were eating dinner in the kitchen ___________ we heard the news on the radio.A. sinceB. althoughC. whileD. when12. Judy with her brother ___________ computer games when her mother came back.A. were playingB. are playingC. was playingD. is playing13. Some word puzzles in this book are ___________ difficult that ___________ students can solve them.A. such; fewB. such; littleC. so; fewD. so; little14. ___________ you listen, ___________ you’ll study.A. More careful; betterB. More carefully; the betterC. The more carefully; the betterD. Carefully; the best15. You must remember ___________ yesterday.A. what your mother saidB. what did your mother sayC. your mother said whatD. what has your mother said二、完形填空。