七年级下册期末测试卷及答案
七年级英语下册期末试卷考试时间90分钟满分120分一、听力(每小题1分,共20分)第一节听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
每段对话读两遍。
( ) 1. What does the girl want to do?A. To play games.B. To play tennis.C. To watch TV.( ) 2. Who did the girl go to the mountains with?A. Her sister.B. Her brother.C. Her parents.( ) 3. What’s the boy’s favorite food?A. Chicken.B. Hamburgers.C. Fish.( ) 4. How is the weather now?A. Rainy.B. Snowy.C. Sunny.( ) 5. When does the boy often do exercise?A. At 6:00.B. At 6:30.C. At 7:00.第二节听下面5段对话或独白。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
每段对话或独白读两遍。
听第6段材料,回答第6至7题。
( ) 6. What does Larry look like?A. Fat.B. Short.C. Tall.( ) 7. What does Jeff like to do?A. To swim.B. To play tennis.C. To go camping.听第7段材料,回答第8至9题。
( ) 8. What does the woman want to buy?A. A shirt.B. A sweater.C. A skirt.( ) 9. What color does the woman’s daughter like?A. Yellow.B. Blue.C. White.听第8段材料,回答第10至12题。
( ) 10. Where are the two speakers?A. At the bus stop.B. On the street.C. In the post office. ( ) 11. The girl should _____________ first.A. walk to the bus stopB. take No. 16 busC. get off the King Street stop( ) 12. What does the girl want to do?A. To find a bus stop.B. To find King Street.C. To buy some postcards.听第9段材料,回答第13至16题。
( ) 13. What does Sally think of doing chores?A. It’s boring.B. It’s relaxing.C. It’s hard.( ) 14. Who likes to make the bed?A. Sally.B. Sam.C. Sam’s brother.( ) 15. Why do children do a lot of chores in the past?A. Because they want to live in clean rooms.B. Because their parents ask them to do.C. Because life is hard for them at that time.( ) 16. What did Sally’s mother ask her to do?A. Go back home.B. Take out trash.C. Go to school.听第10段材料,回答第17至20题。
( ) 17. What does the speaker often do before breakfast?A. He often does homework.B. He often listens to music.C. He often does morning exercises.( ) 18. Where does the speaker play ping-pong?A. In the school.B. In the playground.C. In the park.( ) 19. How does the speaker go to school every day?A. By bike.B. By bus.C. By subway.( ) 20. When does the speaker often play basketball?A. In the morning.B. In the afternoon.C. At noon.二、单项选择(共15分每小题1分)()21. I got ________ invitation from Mary. She asked me to go to ____ concert with her.A. a; aB. an; theC. an; /D. a; the()22. I spent a lot of time ______ English last weekend.A. to practice speakingB. practicing to speakC. practicing speakingD. practice speaking()23.There are three _______ assistants in that _______ shop.A women; shoeB woman; shoeC woman; shoesD women; shoes( )24.Now the air in our city is _____ than it used to be. Somethingmust be done to stop it.A very goodB much betterC rather goodD even worse()25. She often ______ new words in the dictionary. It’s a good habit.A looks afterB looks downC looks upD looks out()26. ______ junk food is unhealthy food, ______ lots of kids likeeating it.A.Although, butB. Although, /C. Because, soD. Because, /()27. —Jim, _____ a party this weekend. Do you want to join us?—OK. I’d love to.A. they are going to beB. we are going to beC. there is going to haveD. there is going to be()28. —How many birds can you see in the trees?—I can see ______ birds.A. hundred ofB.hundreds ofC.five hundredsD.five hundreds of()29. — Can you go to Langlang’s concert with me?— Sorry,I have to finish my homework.Maybe ____time.A. otherB. the otherC. anotherD. others()30._______animals are in danger and there will be _______space for them if we do nothing for them.A. More and more; less and lessB. Less and less; more and moreC. Fewer and fewer; more and moreD. More and more; more and more ()31.The radio is too loud. Will you please _______ ?A.turn it downB. turn it onC. turn off itD.turn down it()32.Not everyone knows _____. Just make sure you try your best.A. what do they want to beB. what will they beC. what is they to beD. what they want to be()33.–Can you come to play basketball with us,Tom?-______.A.I can comeB.That’s all rightC.Sure,I’d love toD.That’s OK( )34. --____will Mary’s cousin come back from Shanghai?--In a week.A. How longB. How oftenC. How farD. How soon()35.--_____ do you _____ talk shows?--I can’t stand them.A. How, think ofB. How , likeC. What, likeD. What, think三. 完形填空。
(每小题1分,共10分)We live in the “computer age”, People like scientists, teachers and even students use computers to do 36 work. But many years ago, 37 couldn’t do much. They were very big and expensive. Very few people were 38 in them and knew how to use them.Today computers are smaller and 39 . Since(由于) they can do a lot of work, many people like to use them. Most have them at home. Many have smaller ones, so that they can 40 them out to work, to travel, to have meeting and to give talks.Computers become very important because they can work faster than men and make fewer mistakes. Computers can 41 people do a lot of work. Writers now use computers to write. Teachers use them to help teaching. 42 use them to do research(研究) and children use them to play games. Computers can also remember what you put into them. Computers are very 43 and helpful. They are our good 44 .Do you want to have your 45 computer?( )36. A. many of B.many kinds of C. a lot D. very much ( )37. A. scientists B.teachers C.students D. computers ( )38. A. Interesting B.interested C.interest D. interests ( )39. A. beautiful B.cheaper C.interesting D.more expensive ( )40. A. carry(搬动) B.took C.brought D.carries( )41. A. help B.make C. use D.stop( )42. A. Scientists B.Basketball players C. Farmers D. Drivers( )43. A. boring B. careful C. useful D.heavy( )44. A. friends B. classmates C. parents D. sons( )45. A. yourself B. own C. owner D. yourselves四、阅读理解(共40分每小题2分)AThere will be a kind of new cars in the future. People will like this kind of small cars better than the big ones. The car is as small as a bike. But it can carry(载) two people in it. Everybody can drive it easily, just like riding a bike. Even children and old people can drive them to schools or parks.If everyone drives such cars in the future, there will be less pollution in the air. There will be more space for all the cars in cities, and there will also be more space for people to walk in the streets.The little cars of the future will cost(花) less money to buy and to drive. These little cars can go only 65 kilometers an hour, so driving will be safer(更安全的). The cars of the future will be fine for going around the city, but they will not be useful for a long trip.This kind of cars can save(节约) a lot of gas(汽油). They will go 450 kilometers, then they have to stop for more gas. They are nice cars, aren’t they?( ) 46. This kind of new cars will be ______ than the cars we use today.A. more expensiveB. biggerC. much smallerD. faster( )47. If you drive this kind of new cars for four hours, you can probably go ____at most(最多).A. 260 kilometersB. 65 kilometersC.450 kilometersD.130 kilometers ( ) 48. Why do these little cars have to stop after going 450 kilometers?A. For more waterB. For more gas.C. To have a restD. To charge(充电)()49.The little cars are ____ big cars.A.cheaper thanB.more expensive thanC.as cheap asD.as expensive as( ) 50. Which of the following(下列的) is not true?A. Driving big cars can make the air more polluted.B. These little cars can make more space for other cars and people.C. These little cars will be useful for a long trip.D. This kind of new cars can save much gas.BLittle Mike’s grandma died weeks ago. He missed her very much. One afternoon Mike went to the city park where his grandma used to go. There he saw an old lady. She looked very kind. She was sitting there, watching pigeons(鸽子).Little Mike went up and sat next to her. He took out his food and drinks and gave some to her. She smiled at him. Her smile was so sweet that Mike wanted to see it again. She seemed to understand him, so once again she smiled. Mike was very glad.They sat there all the afternoon, eating and talking. As it grew dark, Mike got up to leave. Before he left, he hugged the old lady and she gave her sweetest smile.When Mike got home, his mother was surprised by the look of joy on his face. “I met a granny in the park. Her smile was like the kind of smile I had seen on grandma’s face.”The old lady also returned to her home happily. She told her son that she had food and drinks with a little boy. “He was as lovely as Brittany.” She said. Her son was surprised, because he had never seen her so happy since Brittany, her grandson, died weeks ago.( )51. Little Mike went to the park and ________.A. played with pigeonsB. fed pigeonsC. met an old ladyD. saw a friend of his grandma’s ( )52.The old lady’s smile showed that _______.A. he had hoped to meet the boyB. she wanted to get some drinksC. she missed her grandsonD. she liked the little boy( )53.Mike felt very glad because_______.A.he gave the granny food and drinksB.the old lady was as kind as his grandmaC. he had seen his grandmaD. she liked the little boy( )54.Mike and the old lady________.A. were good to each otherB. knew each other wellC. often met in the parkD. did nothing that afternoon( )55.What can we learn from the story?A. When one feels unhappy, he must go to a parkB. Old people are always kind and happyC. Children and old people should get on well with each otherD. When people are kind to each other, they will feel happyCZhou Yan, a Junior 3 student, wishes he never got a mobile phone. Last week, he went to see a doctor because his arms and fingers were in pain. The doctor told him that he had a "mobile phone disease(疾病)". A growing number of teenagers 青少年() are getting a "mobile phone disease" because most of them are using mobile phones.Zhou got his mobile phone five months ago. He sent messages to his friends with it all the time. Zhou started to do badly in the exams because he spent much time playing with his mobile phone. His mother got very angry with him. He didn't stop playing with the mobile phone until his arms and fingers got painful.Yang Ling, a doctor, says that if someone, like Zhou Yan,uses the mobile phone too much, he might get a "mobile phone disease". If teenagers find their arms or fingers painful, they should go to see a doctor as soon as possible. Yang Ling said students should try to use their mobile phones less, especially at school.()56. Zhou Yan wishes he never got a mobile phone becauseA. it is useless to himB. it doesn't work wellC. it made his arms and fingers painfulD. his mother got angry with him()57. Zhou Yan didn't do well in exams becauseA. he didn't like studyingB. he was ill and didn't go to schoolC. he was afraid of examsD. he spent much time playing with the mobile phone()58. If someone has a "mobile phone disease", it meansA. the mobile phone brought him a diseaseB. something is wrong with his mobile phoneC. he can't live without the mobile phoneD. he hates the mobile phone very much()59. Yang Ling thinks students shouldA. go to see a doctor very oftenB. use mobile phones more when they are at schoolC. use mobile phones lessD. not use mobile phones any more()60. The writer wants to tell us in the article.A. only a few teenagers have mobile phonesB. using mobile phones too much is bad for our study and healthC. mobile phones can help students get out of troubleD. people shouldn't use mobile phonesDBob Harris was a weatherman at a small television station. He worked for twenty years and during those twenty years, he felt that his life was boring. Every day, he studied the weather and tried to predict(预报)the next day’s weather. Then, he stood in front of the camera and read his report. Some days it was cloudy, some days it was sunny; sometimes rainy, while sometimes snowy. The weather changed each day, but Bob still felt that his job was always the same. His boss often told him to be happier and smile more in front of the camera, but Bob rarely(很少) smiled. He thought that most people did not watch his weather report and his job did not matter much to anyone. One day, he arrived at work and began to study the weather as usual. He noticed that something was different that day.Everything he studied told him that there was going to be a very big storm very soon, though he was not completely sure. Suddenly, Bob felt excited. He ran to his boss’s office and asked to do a special weather report. The boss agreed and Bob gave a special report that afternoon, warning(警告) people of the coming storm. Because of this report, many people were safe during the storm. Bob realized(意识到) that his job was actually very important.( )61.Why did Bob feel that his life was boring?A. Because the weather changed each day.B. Because he did not want to work for a small television station.C. Because he did not like to stand in front of the camera.D. Because he felt that his job was always the same.( )62.Why did Bob rarely smile when he was in front of the camera?A. Because he thought that his job did not matter much to anyone.B. Because he only worked for a small televison station.C. Because he did not like his boss.D. Because the weather report was boring.( )63.Why did Bob ask to do a special weather report?A. Because he felt excited.B. Because he wanted to warn people of the coming storm.C. Because he realized that his job was actually very important.D. Because he wanted to smile in front of the camera.( )64.Why did Bob feel excited?A. Because he wanted to do a special weather report.B. Because he wanted to ask his boss for more money.C. Because he knew there was going to be a big storm soon.D. Because he was going to stand in front of the camera.( )65.How did Bob realize that his job was actually very important?A. People were safe from the storm because of his weather report.B. He got better pay after he did the weather report.C. People liked him very much.D. He did a special report every day.五、词语运用(共10分,每空1分)Jim met two friends in the street. “Come back to my apartment for a meal,” he said, “and you can see 66_____ place of the city 67____my bedroom window.”His two friends agreed and they went back 68____ Jim to his room on the 40th floorin the apartment building. When they arrived, 69____, the elevator didn ’t work. “I ’m sorry, “ Jim said, “we ’ll have to walk.”“But it ’s forty floors!” they said. “We ’ll talk when we climb,” Jim said. “You can tell me the funniest joke you heard and when we get 70___ my apartment. I ’ll tell you a story.” Then they started to climb.At 71___ they reached the 40th floor and were standing outside the door of Jim ’s apartment. “Now tell us a good story,” one of his friends said. Jim looked at them sadly and said, “Once upon a time there was a man. He 72___ his two friends to his apartment on the 40th floor. The elevator didn ’t work andthey had to climb. 73__ they reached the 40th floor, he put his hand in his pocket74____ the key to the door of his room. Then he 75____ it was in his car.66. ________ 67.__________ 68.__________ 69.__________ 70.__________71. ________ 72. ________ 73. ________ 74. _________ 75. _________六、补全对话(共10分,每小题2分)A: 76________? I have two tickets to the film Titannic.B: Thanks. But I saw it yesterday. It’s really a wonderful film.A: 77__________________________?B: The story happened on the night of April 15th, 1912.A: 78_______________________________?B: Yes, it was the biggest and the nicest ship at that time, butthe great ship hit a very large iceberg and fell into the sea.A: 79__________________________?B: No. There weren’t enough lifeboats. The ship was full of water. Hundredsofpeople jumped into the water.A: 80_______________________?B: More than 1,500 lives were lost.A: How terrible! By the way, do you like the film star in it?B: You mean the young man called Jack? Of course. He is a famous film star.I’m sure you will enjoy the film.七、书面表达。
新人教版七年级下册语文期末测试卷及答案【完整】
新人教版七年级下册语文期末测试卷及答案【完整】满分:120分考试时间:120分钟一、语言的积累与运用。
(35分)1、下列加点的字注音全对的一项是( )A.迸.溅(bìnɡ) 忏.悔(chàn) 涉.足(shè) 赤裸.(luǒ)B.矜.持(jīn) 绽.开(zhàn) 决眦.(zì) 褪.尽(tuì)C.怆.然(cànɡ) 伫.立(chù) 沉淀.(diàn) 酒酿.(liànɡ)D.服侍.(sì) 瞬.息(shùn) 伶.仃(línɡ) 花苞.(bāo)2、下列各组词语书写全对的一项是( )A.西蜀幕色麂子荆棘B.恩惠感慨恍惚垦切C.陡峭譬如鸿濡淤泥D.简陋案牍监督拖沓3、下列句中加点的成语使用正确的一项是()A.省体操男队新选的五个小队员,都是十五六岁,豆蔻年华....,风华正茂.B.2016年《感动中国》颁奖晚会传递的正能量,将激励全社会人心向善,见贤..思齐...C.王刚和李铁是乒乓球队的男双主力队员,他们从小就青梅竹马....,在一起玩耍,所以二人在场上配合得十分默契.D.辩论会上,我方辩手巧舌如簧....,赢得了观众的阵阵掌声.4、下列句子中没有语病的一项是()A.进入初中不久,我们俩个人很快就成了好朋友。
B.曾记得,我与他相识的时候,还是个十来岁的少年,天真无邪,充满幻想。
C.一艘橡皮船在大渡河里漂流时翻了,船上的人都掉到了水里,衣服也基本湿了。
D.我看谁也不可否认这部小说有一定的消极影响。
5、下列各句所用的修辞手法,判断不正确的一项是()A.仁厚黑暗的地母呵,愿在你怀里永安她的灵魂!(拟人)B.(长妈妈)说,先前长毛进城的时候,我全家都逃到海边去了,只留一个门房和年老的煮饭老妈子看家。
(借喻)C.一年中,他七个月种田,四个月去山里砍柴,半个月在大溪滩山捡屋基卵石,剩下半个月用来过年、编草鞋。
七年级下册语文期末测试卷含答案
七年级下册语文期末测试题一、积累与运用(共12分)1.阅读下面文字,完成各题。
舞剧《只此青绿》的创作灵感来源于北宋名画《千里江山图》。
《千里江山图》以青绿设色,将烟波浩渺的江河,层峦叠翠的群山,构成了一幅美妙的江南山水图。
舞剧《只此青绿》也不再是中国女性的柔美,更多的是一种大气磅bó(),代表了中国传统文化的一种沉淀。
舞者们以不同造型和体态变化模.()拟山峦,虽然长裙曳.()地,但是毫无累zhui()之感,反而舞出山水相依之韵,她们慷慨淋漓的舞蹈表演,令观众叹为观止。
(1)根据拼音写出汉字,给加点字注音全对的一项是()A.薄mó yì 赘B.礴mú yè 坠C.薄mú yì 坠D.礴mó yè 赘(2)文段中画线的成语运用有误的一项是()A.烟波浩渺B.层峦叠翠C.慷慨淋漓D.叹为观止【答案】(1)D(2)C2.下列句子没有语病的一项是()A.能否把爱国主义教育作为永恒主题,是培养青年爱国情怀的重要途径。
B.经过160多年的传承和发展,八步区采茶戏成了桂东戏曲文化的典型代表,入选自治区非物质文化遗产保护名录。
C.人脸识别技术可以很好地解决身份证、学生证、银行卡等容易丢失和被盗。
D.金泰湖项目建成后,将大力提高贺州城市景观,改善市民幸福指数。
【答案】B3.下列依次填入文段画线处句子,排序最恰当的一项是()宋代插花艺术的几个流派各具特色:宫廷插花,____________________;文人插花,以雅逸胜;民间插花,____________________;佛门插花,____________________;道教插花,以仙韵胜。
①以简寂胜①以富丽胜①以素朴胜A.①①①B.①①①C.①①①D.①①①【答案】C4.下列各句中没有语病的一项是( )A.在阅读文学名著的过程中,使我明白了许多做人的道理,感悟了人生真谛。
2024新人教版七年级数学下册期末试卷及答案
2024新人教版七年级数学下册期末试卷及答案一、选择题(每题4分,共40分)1. 下列数中是无理数的是:A. √2B. 3C. 0.5D. 22. 已知a=5,b=3,则a²+b²的值是:A. 34B. 32C. 29D. 263. 下列等式中正确的是:A. a² = 2abB. a³ = 3a²C. a² = a³D. a³ = 2a²4. 下列哪一个数是九的分之一:A. 1/9B. 9/1C. 9/2D. 2/95. 下列哪一个比例式是正确的:A. 3/4 = 12/18B. 5/7 = 15/21C. 4/9 = 12/24D. 6/8 = 18/246. 已知一个正方形的边长为4,则它的面积是:A. 16B. 8C. 4D. 27. 下列哪一个角的度数是90度:A. 直角B. 锐角C. 钝角D. 平角8. 下列哪一个数是负数:A. -3B. 3C. 0D. 29. 已知一个等边三角形的边长为6,则它的面积是:A. 9B. 6C. 3D. 110. 下列哪一个数是立方根:A. 27B. 3C. 3√27D. 3√3二、填空题(每题4分,共40分)1. 若两个数的和为8,它们的差为3,则这两个数分别是______和______。
2. 已知一个数的平方等于36,则这个数是______或______。
3. 下列各数中,是无理数的是______、______、______。
4. 一个等边三角形的周长为15,则它的边长是______,面积是______。
5. 若一个正方形的边长为a,则它的对角线长度为______,面积为______。
三、解答题(共20分)1. (10分)已知一个数的平方等于25,求这个数。
2. (10分)解方程:2x - 5 = 3x + 1。
3. (10分)已知一个长方形的长为8,宽为3,求它的面积和周长。
七年级下册期末试卷测试卷(含答案解析)
七年级下册期末试卷测试卷(含答案解析)一、选择题1.2的平方根是()A .﹣1.414B .±1.414C .2D .2± 2.下列现象属于平移的是() A .投篮时的篮球运动B .随风飘动的树叶在空中的运动C .刹车时汽车在地面上的滑动D .冷水加热过程中小气泡变成大气泡 3.在平面直角坐标系中,点P (-3,0)在( ) A .第二象限 B .第三象限 C .x 轴上 D .y 轴上 4.给出以下命题:①对顶角相等;②在同一平面内, 垂直于同一条直线的两条直线平行;③相等的角是对顶角;④内错角相等.其中假命题有( )A .1个B .2个C .3个D .4个 5.将一张边沿互相平行的纸条如图折叠后,若边//AD BC ,则翻折角1∠与2∠一定满足的关系是( )A .122∠=∠B .1290∠+∠=︒C .1230∠-∠=︒D .213230∠-∠=︒ 6.下列说法中正确的是( )A .有理数和数轴上的点一一对应B .0.304精确到十分位是0.30C .立方根是本身的数只有0D .平方根是本身的数只有07.如图,//a b ,160∠=︒,则2∠的大小是( )A .60︒B .80︒C .100︒D .120︒8.在平面直角坐标系中,对于点P (x ,y ),我们把点P’(-y +1,x +1)叫做点P 的伴随点.已知点A 1的伴随点为A 2,点A 2的伴随点为A 3,点A 3的伴随点为A 4,…,这样依次得到点A 1,A 2,A 3,…,A n ,….若点A 1的坐标为(a ,b ),则点A 2021的坐标为( ) A .(a ,b )B .(-b +1,a +1)C .(-a ,-b +2)D .(b -1,-a +1)二、填空题 9.已知x ,y ()2120x y --=,则x-y =___________.10.点(,1)a 关于x 轴的对称点的坐标为(5,)b ,则+a b 的值是______.11.如图,在△ABC 中,∠A=50°,∠C=72°,BD 是△ABC 的一条角平分线,求∠ADB=__度.12.如图,已知AB //EF ,∠B =40°,∠E =30°,则∠C -∠D 的度数为________________.13.如图,在长方形纸片ABCD 中,点E 、F 分别在AD 、BC 上,将长方形纸片沿直线EF 折叠后,点D 、C 分别落在点D 1、C 1的位置,如果∠1AED =40°,那么∠EFB 的度数是_____度.14.对于有理数a ,b ,规定一种新运算:a ※b=ab+b ,如2※3=2×3+3=9.下列结论:①(﹣3)※4=﹣8;②若a ※b=b ※a ,则a=b ;③方程(x ﹣4)※3=6的解为x=5;④(a ※b )※c=a ※(b ※c ).其中正确的是_____(把所有正确的序号都填上). 15.若点P (a +3,2a +4)在y 轴上,则点P 到x 轴的距离为________.16.如图,一个点在第一象限及x 轴、y 轴上运动,在第一秒钟,它从原点()0,0运动到()0,1,然后接着按图中箭头所示方向运动,即()()()()0,00,11,11,0→→→,…,且每秒运动一个单位,到()1,1点用时2秒,到()2,2点用时6秒,到()3,3点用时12秒,…,那么第421秒时这个点所在位置的坐标是____.三、解答题17.(133181254(2)3|12|427-+-(3)2(22)3(21)+-+18.已知m +n =2,mn =-15,求下列各式的值.(1)223m mn n ++;(2)2()m n -.19.完成下面的证明:已知:如图, //AB CD , CD 和BE 相交于点O , DE 平分CDF ∠,DE 和BE 相交于点E ,2E ∠=∠.求证:22B ∠=∠.证明:2E ∠=∠(已知),//BE DF ∴(______________),CDF ∴∠=∠________(两直线平行,同位角相等).又//AB CD (已知),B ∴∠=∠______(________)B CDF ∴∠=∠(等量代换) .DE 平分CDF ∠(已知) ,2CDF ∴∠=∠_______(角平分线的定义).22B ∴∠=∠(_________).20.已知在平面直角坐标系中有三点A (﹣2,1)、B (3,1)、C (2,3).请回答如下问题:(1)在坐标系内描出点A 、B 、C 的位置;(2)求出以A 、B 、C 三点为顶点的三角形的面积;(3)在y 轴上是否存在点P ,使以A 、B 、P 三点为顶点的三角形的面积为10,若存在,请直接写出点P 的坐标;若不存在,请说明理由.21.计算:(1)239(6)27----; (2)﹣12+(﹣2)3×31127()89--⨯-; (3)已知实数a 、b 满足1a -+|b ﹣1|=0,求a 2017+b 2018的值.(4)已知5+1的整数部分为a ,5﹣1的小数部分为b ,求2a+3b 的值.二十二、解答题22.如图,用两个面积为28cm 的小正方形纸片剪拼成一个大的正方形.(1)大正方形的边长是________cm ;(2)请你探究是否能将此大正方形纸片沿着边的方向裁出一个面积为214cm 的长方形纸片,使它的长宽之比为2:1,若能,求出这个长方形纸片的长和宽,若不能,请说明理由.二十三、解答题23.如图1,AB //CD ,点E 、F 分别在AB 、CD 上,点O 在直线AB 、CD 之间,且100EOF ∠=︒.(1)求BEO OFD ∠+∠的值;(2)如图2,直线MN 分别交BEO ∠、OFC ∠的角平分线于点M 、N ,直接写出EMN FNM ∠-∠的值;(3)如图3,EG 在AEO ∠内,AEG m OEG ∠=∠;FH 在DFO ∠内,DFH m OFH ∠=∠,直线MN 分别交EG 、FH 分别于点M 、N ,且50FMN ENM ∠-∠=︒,直接写出m 的值.24.已知直线//AB CD ,M ,N 分别为直线AB ,CD 上的两点且70MND ∠=︒,P 为直线CD 上的一个动点.类似于平面镜成像,点N 关于镜面MP 所成的镜像为点Q ,此时,,NMP QMP NPM QPM MNP MQP ∠=∠∠=∠∠=∠.(1)当点P 在N 右侧时:①若镜像Q 点刚好落在直线AB 上(如图1),判断直线MN 与直线PQ 的位置关系,并说明理由;②若镜像Q 点落在直线AB 与CD 之间(如图2),直接写出BMQ ∠与DPQ ∠之间的数量关系;(2)若镜像PQ CD ⊥,求BMQ ∠的度数.25.问题情境:如图1,AB ∥CD ,∠PAB=130°,∠PCD=120°.求∠APC 度数.小明的思路是:如图2,过P 作PE ∥AB ,通过平行线性质,可得∠APC=50°+60°=110°.(1)如图3,AD ∥BC ,点P 在射线OM 上运动,当点P 在A 、B 两点之间运动时,∠ADP=∠α,∠BCP=∠β.∠CPD 、∠α、∠β之间有何数量关系?请说明理由;(2)在(1)的条件下,如果点P 在A 、B 两点外侧运动时(点P 与点A 、B 、O 三点不重合),请你直接写出∠CPD 、∠α、∠β间的数量关系.26.如果三角形的两个内角α与β满足290αβ+=︒,那么我们称这样的三角形是“准互余三角形”.(1)如图1,在Rt ABC 中,90ACB ∠=︒,BD 是ABC 的角平分线,求证:ABD △是“准互余三角形”;(2)关于“准互余三角形”,有下列说法:①在ABC 中,若100A ∠=︒,70B ∠=︒,10C ∠=︒,则ABC 是“准互余三角形”; ②若ABC 是“准互余三角形”,90C ∠>︒,60A ∠=︒,则20B ∠=︒;③“准互余三角形”一定是钝角三角形.其中正确的结论是___________(填写所有正确说法的序号);(3)如图2,B ,C 为直线l 上两点,点A 在直线l 外,且50ABC ∠=︒.若P 是直线l 上一点,且ABP △是“准互余三角形”,请直接写出APB ∠的度数.【参考答案】一、选择题1.D【分析】根据平方根的定义求解即可.【详解】解:2的平方根是故选:D.【点睛】本题考查了平方根的定义.注意一个正数有两个平方根,它们互为相反数;0的平方根是0;负数没有平方根.2.C【分析】判断是否是平移现象,要根据平移的性质进行,即图形平移前后的形状和大小没有变化,只是位置发生变化.【详解】解:A. 投篮时的篮球运动,不是沿直线运动,此选项不是平移现象;B解析:C【分析】判断是否是平移现象,要根据平移的性质进行,即图形平移前后的形状和大小没有变化,只是位置发生变化.【详解】解:A. 投篮时的篮球运动,不是沿直线运动,此选项不是平移现象;B. 随风飘动的树叶在空中的运动,在空中不是沿直线运动,此选项不是平移现象;C. 刹车时汽车在地面上的滑动,此选项是平移现象;D. 冷水加热过程中小气泡变成大气泡,大小发生了变化,此选项不是平移现象.故选:C.【点睛】本题考查的知识点是平移的概念,掌握平移的性质是解此题的关键.3.C【分析】根据点的坐标特点判断即可.【详解】解:在平面直角坐标系中,点P(-3,0)在x轴上,故选C.【点睛】此题考查了点的坐标,熟练掌握平面直角坐标系中点的特征是解本题的关键.4.B根据对顶角的性质、平行线的判定和性质进行判断即可.【详解】解:①对顶角相等,是真命题;②在同一平面内,垂直于同一条直线的两条直线平行,是真命题;③相等的角不一定是对顶角,原命题是假命题;④两直线平行,内错角相等,原命题是假命题.故选:B.【点睛】考查了命题与定理的知识,解题的关键是了解对顶角的性质、平行线的判定和性质,难度较小.5.B【分析】根据平行可得出∠DAB+∠CBA=180°,再根据折叠和平角定义可求出1290∠+∠=︒.【详解】解:由翻折可知,∠DAE=21∠,∠CBF=22∠,∵//AD BC,∴∠DAB+∠CBA=180°,∴∠DAE+∠CBF=180°,∠+∠=°,即2122180∴1290∠+∠=︒,故选:B.【点睛】本题考查了平行线的性质和角平分线的性质,解题关键是熟练运用平行线的性质进行推理计算.6.D【分析】根据实数与数轴、精确度、立方根及平方根的概念和性质逐项判断即可.【详解】解:A. 实数和数轴上的点一一对应,原说法错误;B. 0.304精确到十分位是0.3,原说法错误;C. 立方根是本身的数是0、±1,原说法错误;D. 平方根是本身的数只有0,正确,故选:D.【点睛】本题考查了实数与数轴、精确度、立方根及平方根的概念和性质,熟练掌握基础知识是解题关键.7.D【分析】根据同位角相等,两直线平行即可求解.【详解】解:如图:a b,∠1=60°,因为//所以∠3=∠1=60°.因为∠2+∠3=180°,所以∠2=180°-60°=120°.故选:D.【点睛】本题考查的是平行线的判定定理,掌握同位角相等,两直线平行是解题的关键.8.A【分析】据“伴随点”的定义依次求出各点,不难发现,每4个点为一个循环组依次循环,用2021除以4,根据商和余数的情况确定点A2021的坐标即可.【详解】解:观察发现:A1(a,b),A2(解析:A【分析】据“伴随点”的定义依次求出各点,不难发现,每4个点为一个循环组依次循环,用2021除以4,根据商和余数的情况确定点A2021的坐标即可.【详解】解:观察发现:A1(a,b),A2(-b+1,a+1),A3(-a,-b+2),A4(b-1,-a+1),A5(a,b),A6(-b+1,a+1)…∴依此类推,每4个点为一个循环组依次循环,∵2021÷4=505……1,∴点A 2021的坐标与A 1的坐标相同,为(a ,b ),故选:A .【点睛】本题是对点的变化规律的考查,读懂题目信息,理解“伴随点”的定义并求出每4个点为一个循环组依次循环是解题的关键,也是本题的难点.二、填空题9.-1【分析】根据算术平方根的非负性和平方的非负性即可求出x 和y ,代入求值即可.【详解】解:∵,∴解得:∴x-y=-1故答案为:-1.【点睛】此题考查的是非负性的应用,掌握算术平方解析:-1【分析】根据算术平方根的非负性和平方的非负性即可求出x 和y ,代入求值即可.【详解】解:∵()220y -=()20,20y -≥ ∴10,20x y -=-=解得:1,2x y ==∴x-y =-1故答案为:-1.【点睛】此题考查的是非负性的应用,掌握算术平方根的非负性和平方的非负性是解决此题的关键.10.4【分析】根据横坐标不变,纵坐标相反,确定a,b 的值,计算即可.【详解】∵点关于轴的对称点的坐标为,∴a=5,b= -1,∴a+b= 5-1=4,故答案为:4.【点睛】本题考查了坐解析:4【分析】根据横坐标不变,纵坐标相反,确定a,b的值,计算即可.【详解】∵点(,1)a关于x轴的对称点的坐标为(5,)b,∴a=5,b= -1,∴a+b= 5-1=4,故答案为:4.【点睛】本题考查了坐标系中轴对称问题,熟练掌握轴对称的坐标变化特点是解题的关键.11.101【分析】直接利用三角形内角和定理得出∠ABC的度数,再利用角平分线的性质结合三角形内角和定理得出答案.【详解】∵在△ABC中,∠A=50°,∠C=72°,∴∠ABC=180°−50°解析:101【分析】直接利用三角形内角和定理得出∠ABC的度数,再利用角平分线的性质结合三角形内角和定理得出答案.【详解】∵在△ABC中,∠A=50°,∠C=72°,∴∠ABC=180°−50°−72°=58°,∵BD是△ABC的一条角平分线,∴∠ABD=29°,∴∠ADB=180°−50°−29°=101°.故答案为:101.【点睛】此题考查三角形内角和定理,解题关键在于掌握其定理.12.10°【分析】过点C作CG∥AB,过点D作DH∥EF,根据平行线的性质可得AB∥CG∥DH∥EF,从而可得∠BCG=∠B=40°,∠EDH=∠E=30°,∠DCG=∠CDH,即可求解.【详解】解析:10°【分析】过点C作CG∥AB,过点D作DH∥EF,根据平行线的性质可得AB∥CG∥DH∥EF,从而可得∠BCG=∠B=40°,∠EDH=∠E=30°,∠DCG=∠CDH,即可求解.【详解】解:如图,过点C作CG∥AB,过点D作DH∥EF,∵AB//EF,∴AB∥CG∥DH∥EF,∵∠B=40°,∠E=30°,∴∠BCG=∠B=40°,∠EDH=∠E=30°,∠DCG=∠CDH,∴∠BCD-∠CDE=∠BCG-∠EDH=40°-30°=10°.故答案为:10°.【点睛】本题主要考查了平行线的性质,准确作出辅助线是解题的关键.13.70【分析】先利用折叠的性质得出∠DEF=∠D1EF,再由利用平角的应用求出∠DEF,最后长方形的性质即可得出结论.【详解】解:如图,由折叠可得∠DEF=∠D1EF,∵∠AED1=40°解析:70【分析】先利用折叠的性质得出∠DEF=∠D1EF,再由利用平角的应用求出∠DEF,最后长方形的性质即可得出结论.【详解】解:如图,由折叠可得∠DEF=∠D1EF,∵∠AED 1=40°,∴∠DEF =180402︒-︒=70°, ∵四边形ABCD 是长方形,∴AD ∥BC ,∴∠EFB =∠DEF =70°.故答案为:70.【点睛】考查了长方形的性质,折叠的性质,关键是利用折叠的性质得出∠DEF =∠D 1EF 解答. 14.①③【分析】题目中各式利用已知的新定义公式计算得到结果,即可做出判断.【详解】(−3)※4=−3×4+4=−8,所以①正确;a ※b=ab+b ,b ※a=ab+a ,若 a=b ,两式相等,若解析:①③【分析】题目中各式利用已知的新定义公式计算得到结果,即可做出判断.【详解】(−3)※4=−3×4+4=−8,所以①正确;a ※b=ab+b ,b ※a=ab+a ,若 a=b ,两式相等,若 a≠b ,则两式不相等,所以②错误; 方程(x−4) )※3=6化为3(x−4)+3=6,解得x=5,所以③正确;左边=(a ※b) ※c=(a×b+b) )※c=(a×b+b)·c+c=abc+bc+c 右边=a ※(b ※c )=a ※(b×c+c)=a(b×c+c) +(b×c+c)=abc+ac+bc+c 2两式不相等,所以④错误.综上所述,正确的说法有①③.故答案为①③.【点睛】有理数的混合运算, 解一元一次方程,属于定义新运算专题,解决本题的关键突破口是准确理解新定义.本题主要考查学生综合分析能力、运算能力.15.2【分析】点在y轴上,则横坐标为0,可求得a的值,然后再判断点到x轴的距离即可.【详解】∵点P(a+3,2a+4)在y轴上∴a+3=0,解得:a=-3∴P(0,-2)∴点P到x轴的距离解析:2【分析】点在y轴上,则横坐标为0,可求得a的值,然后再判断点到x轴的距离即可.【详解】∵点P(a+3,2a+4)在y轴上∴a+3=0,解得:a=-3∴P(0,-2)∴点P到x轴的距离为:2故答案为:2【点睛】本题考查坐标点与坐标轴的关系,注意,点到坐标轴的距离一定是非负的.16.【分析】由题目中所给的点运动的特点找出规律,即可解答.【详解】由题意可知这点移动的速度是1个单位长度/每秒,设这点为(x,y)到达(1,0)时用了3秒,到达(2,0)时用了4秒,从(2,19,20解析:()【分析】由题目中所给的点运动的特点找出规律,即可解答.【详解】由题意可知这点移动的速度是1个单位长度/每秒,设这点为(x,y)到达(1,0)时用了3秒,到达(2,0)时用了4秒,从(2,0)到(0,2)有四个单位长度,则到达(0,2)时用了4+4=8秒,到(0,3)时用了9秒;从(0,3)到(3,0)有六个单位长度,则到(3,0)时用9+6=15秒;依此类推到(4,0)用16秒,到(0,4)用16+8=24秒,到(0,5)用25秒,到(6,0)用36秒,到(6,6)时用36+6=42秒…,可得在x 轴上,横坐标为偶数时,所用时间为x 2秒,在y 轴上时,纵坐标为奇数时,所用时间为y 2秒,∵20×20=400∴第421秒时这个点所在位置的坐标为(19,20),故答案为:(19,20).【点睛】本题主要考查了点的坐标的变化规律,得出运动变化的规律是解决问题的关键.三、解答题17.(1);(2);(3)【分析】(1)先化简后计算即可;(2)先化简后计算即可;(3)首先去括号,然后再合并即可.【详解】解:(1)原式(2)原式(3)原式【点睛】此题主要考查了实解析:(1)172;(22;(3)1-【分析】(1)先化简后计算即可;(2)先化简后计算即可;(3)首先去括号,然后再合并即可.【详解】解:(1)原式1112577222=++=+=(2)原式1232=+-=(3)原式231=+=-【点睛】此题主要考查了实数运算,关键是掌握数的开方,正确化简各数.18.(1)-11;(2)68【分析】(1)直接利用完全平方公式将原式变形进而得出答案;(2)直接利用完全平方公式将原式变形进而得出答案.【详解】解:(1)====-11;(2)=解析:(1)-11;(2)68【分析】(1)直接利用完全平方公式将原式变形进而得出答案;(2)直接利用完全平方公式将原式变形进而得出答案.【详解】解:(1)223m mn n ++=222m mn n mn +++=()2m n mn ++=2215-=-11;(2)2()m n -=2()4m n mn +-=()22415-⨯- =464+=68【点睛】此题主要考查了完全平方公式,正确应用完全平方公式是解题关键.19.内错角相等,两直线平行;1;1;两直线平行,同位角相等;2;等量代换.【分析】由可判定,即得出,再根据得出,等量代换得到,再根据角平分线的定义等量代换即可得解.【详解】证明:(已知),(内解析:内错角相等,两直线平行;1;1;两直线平行,同位角相等;2;等量代换.【分析】由2E ∠=∠可判定//BE DF ,即得出1CDF ∠=∠,再根据//AB CD 得出1B ∠=∠,等量代换得到B CDF ∠=∠,再根据角平分线的定义等量代换即可得解.【详解】证明:2∠=∠(已知),EBE DF∴(内错角相等,两直线平行),//CDF∴∠=∠(两直线平行,同位角相等).1AB CD(已知),又//∴∠=∠(两直线平行,同位角相等),B1∴∠=∠(等量代换).B CDF∠(已知),DE平分CDF∴∠=∠(角平分线的定义).22CDF∴∠=∠(等量代换).B22故答案为:内错角相等,两直线平行;1;1;两直线平行,同位角相等;2;等量代换.【点睛】本题考查了平行线的判定与性质,解题的关键是熟记“内错角相等,两直线平行”、“两直线平行,同位角相等”.20.(1)见解析;(2)S△ABC=5;(3)存在,P点的坐标为(0,5)或(0,﹣3).【分析】(1)根据点的坐标,直接描点;(2)根据点的坐标可知,ABx轴,且AB=3﹣(﹣2)=5,点C到线解析:(1)见解析;(2)S△ABC=5;(3)存在,P点的坐标为(0,5)或(0,﹣3).【分析】(1)根据点的坐标,直接描点;(2)根据点的坐标可知,AB//x轴,且AB=3﹣(﹣2)=5,点C到线段AB的距离3﹣1=2,根据三角形面积公式求解;(3)因为AB=5,要求ABP的面积为10,只要P点到AB的距离为4即可,又P点在y 轴上,满足题意的P点有两个.【详解】解:(1)描点如图;(2)依题意,得AB//x轴,且AB=3﹣(﹣2)=5,∴S△ABC=1×5×2=5;2(3)存在;∵AB=5,S△ABP=10,∴P点到AB的距离为4,又点P在y轴上,∴P点的坐标为(0,5)或(0,﹣3).【点睛】本题考查了点的坐标的表示方法,能根据点的坐标表示三角形的底和高并求三角形的面积.21.(1)0;(2)-3;(3)2;(4).【解析】【分析】直接利用算术平方根以及立方根的定义化简进而得出答案;直接利用有理数的乘方、算术平方根以及立方根的定义化简进而得出答案 利用绝对值以及平解析:(1)0;(2)-3;(3)2;(4)35.【解析】【分析】() 1直接利用算术平方根以及立方根的定义化简进而得出答案;()2直接利用有理数的乘方、算术平方根以及立方根的定义化简进而得出答案 ()3利用绝对值以及平方根的非负性质得出a ,b 的值,进而得出答案;()4直接利用253<的范围进而得出a ,b 的值,即可得出答案.【详解】 解:(2319(6)27--3630=-+=;()2331121(2)2789⎛-+-⨯- ⎝111333⎛⎫=--+⨯-=- ⎪⎝⎭; ()3110a b -+-=,1a ∴=,1b =,20172018a b +112=+=;()451+的整数部分为a 51的小数部分为b , 3a ∴=,52b =,2366a b ∴+=+=【点睛】此题主要考查了估算无理数的大小以及实数运算,正确化简各数是解题关键. 二十二、解答题22.(1)4;(2)不能,理由见解析.【分析】(1)根据已知正方形的面积求出大正方形的边长即可;(2)先设未知数根据面积=14(cm2)列方程,求出长方形的边长,将长方形的长与正方形边长比较大小再解析:(1)4;(2)不能,理由见解析.【分析】(1)根据已知正方形的面积求出大正方形的边长即可;(2)先设未知数根据面积=14(cm 2)列方程,求出长方形的边长,将长方形的长与正方形边长比较大小再判断即可.【详解】解:(1)两个正方形面积之和为:2×8=16(cm 2),∴拼成的大正方形的面积=16(cm 2),∴大正方形的边长是4cm ;故答案为:4;(2)设长方形纸片的长为2xcm ,宽为xcm ,则2x •x =14,解得:x =2x ,∴不存在长宽之比为2:1且面积为214cm 的长方形纸片.【点睛】本题考查了算术平方根,能够根据题意列出算式是解此题的关键.二十三、解答题23.(1) ;(2)的值为40°;(3).【分析】(1)过点O 作OG ∥AB ,可得AB ∥OG ∥CD ,利用平行线的性质可求解; (2)过点M 作MK ∥AB ,过点N 作NH ∥CD ,由角平分线的定义可设∠BEM解析:(1)260BEO DFO ∠+∠=︒ ;(2)EMN FNM ∠-∠的值为40°;(3)53. 【分析】(1)过点O 作OG ∥AB ,可得AB ∥OG ∥CD ,利用平行线的性质可求解;(2)过点M 作MK ∥A B ,过点N 作NH ∥CD ,由角平分线的定义可设∠BEM =∠OEM =x ,∠CFN =∠OFN =y ,由∠BEO +∠DFO =260°可求x -y =40°,进而求解;(3)设直线FK 与EG 交于点H ,FK 与AB 交于点K ,根据平行线的性质即三角形外角的性质及50FMN ENM ∠-∠=︒,可得50KFD AEG ∠-∠=︒,结合260AEG n OEG DFK n OFK BEO DFO ∠=∠=∠∠+∠=︒,,,可得11180100AEG AEG KFD KFD n n∠+∠+︒-∠-∠=︒, 即可得关于n 的方程,计算可求解n 值.【详解】证明:过点O 作OG ∥AB ,∵AB ∥CD ,∴AB ∥OG ∥CD ,∴180180BEO EOG DFO FOG ∠+∠=︒∠+∠=︒,,∴360BEO EOG DFO FOG ∠+∠+∠+∠=︒,即360BEO EOF DFO ∠+∠+∠=︒,∵∠EOF =100°,∴∠260BEO DFO +∠=︒;(2)解:过点M 作MK ∥AB ,过点N 作NH ∥CD ,∵EM 平分∠BEO ,FN 平分∠CFO ,设BEM OEM x CFN OFN y ∠=∠=∠=∠=,,∵260BEO DFO ∠+∠=︒∴21802260BEO DFO x y ∠+∠=+︒-=︒,∴x -y =40°,∵MK ∥AB ,NH ∥CD ,AB ∥CD ,∴AB ∥MK ∥NH ∥CD ,∴EMK BEM x HNF CFN y KMN HNM ∠=∠=∠=∠=∠=∠,,,∴EMN FNM EMK KMN HNM HNF ∠+∠=∠+∠-∠+∠()x KMN HNM y =+∠-∠-=x -y=40°,故EMN FNM ∠-∠的值为40°;(3)如图,设直线FK 与EG 交于点H ,FK 与AB 交于点K ,∵AB ∥CD ,∴AKF KFD ∠=∠,∵AKF EHK HEK EHK AEG ∠=∠+∠=∠+∠,∴KFD EHK AEG ∠=∠+∠,∵50EHK NMF ENM ∠=∠-∠=︒,∴50KFD AEG ∠=︒+∠,即50KFD AEG ∠-∠=︒,∵AEG n OEG ∠=∠,FK 在∠DFO 内,DFK n OFK ∠=∠. ∴1180180CFO DFK OFK KFD KFD n∠=︒-∠-∠=︒-∠-∠ , 1AEO AEG OEG AEG AEG n∠=∠+∠=∠+∠, ∵260BEO DFO ∠+∠=︒,∴100AEO CFO ∠+∠=︒, ∴11180100AEG AEG KFD KFD n n∠+∠+︒-∠-∠=︒, 即(180)1KFD AEG n ⎛⎫ ⎪⎝∠⎭+-∠︒=, ∴115080n ⎛⎫ ⎪⨯⎭︒︒⎝+=, 解得53n = .经检验,符合题意, 故答案为:53. 【点睛】本题主要考查平行线的性质,角平分线的定义,灵活运用平行线的性质是解题的关键. 24.(1)①,证明见解析,②,(2)或.【分析】(1) ①根据和镜像证出,即可判断直线与直线的位置关系,②过点Q 作QF ∥CD ,根据平行线的性质证即可;(2)过点Q 作QF ∥CD ,根据点P 的位置不同,解析:(1)①//MN PQ ,证明见解析,②70DPQ BMQ ∠∠+=︒,(2)160︒或20︒.【分析】(1) ①根据//AB CD 和镜像证出NMP QPM ∠=∠,即可判断直线MN 与直线PQ 的位置关系,②过点Q 作QF ∥CD ,根据平行线的性质证DPQ BM MQP Q ∠=∠∠+即可;(2)过点Q 作QF ∥CD ,根据点P 的位置不同,分类讨论,依据平行线的性质求解即可.【详解】(1)①//MN PQ ,证明:∵//AB CD ,∴NPM QMP ∠=∠,∵,NMP QMP NPM QPM ∠=∠∠=∠,∴NMP QPM ∠=∠,∴//MN PQ ;②过点Q 作QF ∥CD ,∵//AB CD ,∴////AB CD QF ,∴1BMQ ∠=∠,2QPD ∠=∠,∴DPQ BM MQP Q ∠=∠∠+,∵70MNP MQP ∠=∠=︒,∴70DPQ BMQ ∠∠+=︒;(2)如图,当点P 在N 右侧时,过点Q 作QF ∥CD ,同(1)得,////AB CD QF ,∴180NP FQP Q ∠=∠+︒,FQM BMQ ∠=∠,∵PQ CD ⊥,∴90NPQ ∠=︒,∴90FQP ∠=︒,∵70MND PQM ∠=∠=︒,∴20FQM ∠=︒,∴20BMQ ∠=︒,如图,当点P 在N 左侧时,过点Q 作QF ∥CD ,同(1)得,////AB CD QF ,同理可得,90FQP ∠=︒,∵70MND ∠=︒,∴110MNP PQM ∠=∠=︒,∴20FQM ∠=︒,∵//AB QF ,∴180BM FQM Q ∠=∠+︒,∴160BMQ ∠=︒;综上,BMQ ∠的度数为160︒或20︒.【点睛】本题考查了平行线的性质与判定,解题关键是恰当的作辅助线,熟练利用平行线的性质推导角之间的关系.25.(1),理由见解析;(2)当点P 在B 、O 两点之间时,;当点P在射线AM上时,.【分析】(1)过P作PE∥AD交CD于E,推出AD∥PE∥BC,根据平行线的性质得出∠α=∠DPE,∠β=∠C∠=∠+∠,理由见解析;解析:(1)CPDαβ∠=∠-∠;(2)当点P在B、O两点之间时,CPDαβ∠=∠-∠.当点P在射线AM上时,CPDβα【分析】(1)过P作PE∥AD交CD于E,推出AD∥PE∥BC,根据平行线的性质得出∠α=∠DPE,∠β=∠CPE,即可得出答案;(2)分两种情况:①点P在A、M两点之间,②点P在B、O两点之间,分别画出图形,根据平行线的性质得出∠α=∠DPE,∠β=∠CPE,即可得出结论.【详解】解:(1)∠CPD=∠α+∠β,理由如下:如图,过P作PE∥AD交CD于E.∵AD∥BC,∴AD∥PE∥BC,∴∠α=∠DPE,∠β=∠CPE,∴∠CPD=∠DPE+∠CPE=∠α+∠β.(2)当点P在A、M两点之间时,∠CPD=∠β-∠α.理由:如图,过P作PE∥AD交CD于E.∵AD∥BC,∴AD∥PE∥BC,∴∠α=∠DPE,∠β=∠CPE,∴∠CPD=∠CPE-∠DPE=∠β-∠α;当点P在B、O两点之间时,∠CPD=∠α-∠β.理由:如图,过P作PE∥AD交CD于E.∵AD∥BC,∴AD ∥PE ∥BC ,∴∠α=∠DPE ,∠β=∠CPE ,∴∠CPD =∠DPE -∠CPE =∠α-∠β.【点睛】本题考查了平行线的性质的运用,主要考核了学生的推理能力,解决问题的关键是作平行线构造内错角,利用平行线的性质进行推导.解题时注意:问题(2)也可以运用三角形外角性质来解决.26.(1)见解析;(2)①③;(3)∠APB 的度数是10°或20°或40°或110°【分析】(1)由和是的角平分线,证明即可;(2)根据“准互余三角形”的定义逐个判断即可;(3)根据“准互余三角解析:(1)见解析;(2)①③;(3)∠APB 的度数是10°或20°或40°或110°【分析】(1)由90ABC A ∠+∠=︒和BD 是ABC 的角平分线,证明290ABD A ∠+∠=︒即可; (2)根据“准互余三角形”的定义逐个判断即可;(3)根据“准互余三角形”的定义,分类讨论:①2∠A +∠ABC =90°;②∠A +2∠APB =90°;③2∠APB +∠ABC =90°;④2∠A +∠APB =90°,由三角形内角和定理和外角的性质结合“准互余三角形”的定义,即可求出答案.【详解】(1)证明:∵在Rt ABC 中,90ACB ∠=︒,∴90ABC A ∠+∠=︒,∵BD 是ABC ∠的角平分线,∴2ABC ABD ∠=∠,∴290ABD A ∠+∠=︒,∴ABD △是“准互余三角形”;(2)①∵70,10B C ∠=︒∠=︒,∴290B C ∠+∠=︒,∴ABC 是“准互余三角形”,故①正确;②∵60A ∠=︒, 20B ∠=︒,∴210090A B ∠+∠=︒≠︒,∴ABC 不是“准互余三角形”,故②错误;③设三角形的三个内角分别为,,αβγ,且αβγ<<,∵三角形是“准互余三角形”,∴290αβ+=︒或290αβ+=︒,∴90αβ+<︒,∴180()90γαβ=︒-+>︒,∴“准互余三角形”一定是钝角三角形,故③正确;综上所述,①③正确,故答案为:①③;(3)∠APB 的度数是10°或20°或40°或110°;如图①,当2∠A +∠ABC =90°时,△ABP 是“准直角三角形”,∵∠ABC =50°,∴∠A =20°,∴∠APB =110°;如图②,当∠A +2∠APB =90°时,△ABP 是“准直角三角形”,∵∠ABC =50°,∴∠A +∠APB =50°,∴∠APB =40°;如图③,当2∠APB +∠ABC =90°时,△ABP 是“准直角三角形”,∵∠ABC =50°,∴∠APB =20°;如图④,当2∠A +∠APB =90°时,△ABP 是“准直角三角形”,∵∠ABC =50°,∴∠A+∠APB=50°,所以∠A=40°,所以∠APB=10°;综上,∠APB的度数是10°或20°或40°或110°时,ABP△是“准互余三角形”.【点睛】本题是三角形综合题,考查了三角形内角和定理,三角形的外角的性质,解题关键是理解题意,根据三角形内角和定理和三角形的外角的性质,结合新定义进行求解.。
七年级数学下册期末测试题及答案(共五套)
七年级数学下册期末测试题及答案(共五套)七年级数学下册期末测试题及答案姓名。
学号。
班级:一、选择题(共10小题,每小题3分,共30分)1.若m。
-1,则下列各式中错误的是()A。
6m。
-6B。
-5m < -5C。
m+1.0D。
1-m < 22.下列各式中,正确的是()A。
16=±4B。
±16=4C。
3-27=-3D。
(-4)^2=163.已知a。
b。
0,那么下列不等式组中无解的是()A。
{x-a。
x>-b}B。
{x>a。
x<-a。
x<-b}C。
{x>a。
xb}D。
{x-a。
x<b}4.一辆汽车在公路上行驶,两次拐弯后,仍在原来的方向上平行行驶,那么两个拐弯的角度可能为()A。
先右转50°,后右转40°B。
先右转50°,后左转40°C。
先右转50°,后左转130°D。
先右转50°,后左转50°5.解为{x=1.y=2}的方程组是()A。
{x-y=1.x-y=-1}B。
{x-y=1.3x+y=5}C。
{x-y=3.3x+y=-5}D。
{x-2y=-3.3x+y=5}6.如图,在△ABC中,∠ABC=50°,∠ACB=80°,BP平分∠ABC,CP平分∠ACB,则∠BPC的大小是()A。
100°B。
110°C。
115°D。
120°7.四条线段的长分别为3,4,5,7,则它们首尾相连可以组成不同的三角形的个数是()A。
4B。
3C。
2D。
18.在各个内角都相等的多边形中,一个外角等于一个内角的1/2,则这个多边形的边数是()A。
5B。
6C。
7D。
89.如图,△A'B'C'是由△XXX沿BC方向平移了BC长度的一半得到的,若△ABC的面积为20 cm²,则四边形A'CC'B'的面积为()A。
2023年七年级语文(下册期末)质量检测卷及答案
2023年七年级语文(下册期末)质量检测卷及答案满分:120分考试时间:120分钟一、语言的积累与运用。
(35分)1、下列加点字的注音完全正确的一项是( )A.眼睑.(jiǎn) 怂.恿(sōnɡ) 忧郁.(yù) 怅.然(chànɡ)B.虐.待(nüè) 蜷.伏(quán) 丰腴.(yú) 栅.栏(zhà)C.缀.行(chuò) 假寐.(mèi) 搏.击(bó) 意旨.(zhǐ)D.哺.乳(pǔ) 嗔.怪(chēn) 驯.养(xùn) 伫.立(zhù)2、下面书写完全正确的一组是()A.派遣附和精疲力竭惊慌失错B.坍塌突兀微不足到战战兢兢C.硬朗流淌一丝不苟漠不关心D.淩乱纯粹精益求精见异思迁3、下列加点成语使用有误的一项是()A.要想取得优异的成绩,我们必须对知识不求甚解....。
B.在众目睽睽....之下,一向害羞的她脸一下子红了。
C.他们夜以继日废寝忘食....地工作,终于按时完成了任务。
D.他小心翼翼....地对爸爸说他想星期六到公园去玩,但还是遭到爸爸的反对。
4、请选出下列句子没有语病的一项()A.一个热爱读书的人,既然不能拥有舒适的书房、宁静的夜晚,也会保持着一份纯洁的读书情感。
B.这篇小说完美地塑造了一个普通船长的光辉事迹。
C.沙尘从内蒙古一些沙漠周边的退化草场和旱地刮起,途径河北,到达京津。
D.同学们在考场上能否保持一颗平常心,是正常发挥水平的关键。
5、下面与例句修辞手法不同的一项是()例句:一个老城,有山有水,全在蓝天下很暖和安适地睡着。
A.这一圈小山在冬天特别可爱,好像是把济南放在一个小摇篮里。
B.就凭这些绿的精神,水也不忍得冻上。
C.他们全安静不动地低声地说:“你们放心吧,这儿准保暖和。
D.空中,半空中,天上,自上而下全是那么清亮,那么蓝汪汪的,整个的是块空灵的蓝水晶。
七年级下册语文期末考试卷及答案【必考题】
七年级下册语文期末考试卷及答案【必考题】满分:120分考试时间:120分钟一、语言的积累与运用。
(35分)1、下列词语中加点字的注音完全正确的一项是( )A.投掷.(zhì) 憎.恶(zèng) 糟.糕(zāo)B.震悚.(sǒng) 取缔.(dì) 肿胀.(zhàng)C.侮.辱(wǔ) 晌.午(xiàng) 镶嵌.(qiàn)D.门框.(kuāng) 愧怍.(zuò) 惶.恐(huáng)2、下列各组词语书写全都正确的一项是()A.遮弊各得其所美不盛收呼朋引伴B.蝉褪人生鼎沸截然不同疲倦不堪C.分岐高枕而卧小心翼翼不求深解D.尴尬众目睽睽花团锦簇油然而生3、下列句子中加点的成语使用不正确的一项是()A.野鸡多用两只腿跑动,即使能飞起来的也只能飞很短的距离。
当它逃不脱追者时,就把头钻进草堆里,自以为安然无恙....了。
B.红树林深处,简直就是一个海上的世外桃源....,一个神秘的植物天地。
C.生活中正因为有了这种精益求精、锲而不舍....的精神,人才会变得更优秀。
D.每天早晨,他都要一个人跑到花园里,指手画脚....地练动作,抑扬顿挫地背台词。
4、下列句子中没有语病的一项是( )A.经调查,“8·12”天津港爆炸事故原因是瑞海公司违规经营、违规储存危险货物以及安全管理极其混乱造成的。
B.面对叙利亚小难民艾兰伏尸海滩的照片,使欧洲一些国家终于松口,允许更多难民入境。
C.磁州瓷器工艺精湛,具有高雅、时尚、个性的艺术享受,是一种观赏价值极高的艺术品。
D.屠呦呦用青蒿素治疗疟疾的研究,有效降低了疟疾患者的死亡率,为医学发展做出了卓越的贡献。
5、下列各句所使用的修辞手法判断错误的一项是()A.“我在开花!”它们在笑。
“我在开花!”它们嚷嚷。
(反复、拟人)B.如果说自然的智慧是大海,那么,人类的智慧就只是大海中的一个小水滴。
人教版七年级下册语文期末测试卷及答案【A4打印版】
人教版七年级下册语文期末测试卷及答案【A4打印版】满分:120分考试时间:120分钟一、语言的积累与运用。
(35分)1、下列词语中加点字的注音全部正确的一项是()A.绽.开(dìng)罕.至(hǎn)倜傥.(tǎng)逾.矩(yú)B.感慨.(kǎi)和蔼.(ǎi)惭愧.(kuì)锦簇.(cù)C.确凿.(zuó)油蛉.(líng)收敛.(liǎn)书塾.(shū)D.淋.漓(línɡ)啄.食(zhuó)奥.秘(ào)企.盼(qǐ)2、词语书写完全正确的一项是()A.朗润小心翼翼各得其所混为一谈B.瘫痪尴尬烂慢蛛丝马迹C.点缀搏学笃志众目睽睽人迹罕至D.荫蔽岐斜祷告恍然大悟3、下列句子中加点词语使用不恰当的一项是()A.王教授的演讲十分精彩,在场人士听得津津有味....。
B.看到小朋友掉进水缸里,司马光毫不犹豫....地搬起石头砸缸。
C.他站在台上窃窃自语....,向大家介绍自己的新发现。
D.草原的气候变幻莫...测.,一会儿烈日当空,一会儿大雨倾盆。
4、下面句子没有语病的一项是()A.屠呦呦科研团队研究出了用青蒿素治疗疟疾的方法,使全球数亿人受益。
B.针对近来频频发生的校园暴力事件,几个学校的领导进行了深刻反思。
C.家长要让孩子接受“吃苦教育”,以此提高孩子自食其力的能力和独立自主的精神。
D.一堂堂看似普通的体育课,不仅影响青少年的体育价值观,更直接地关系到他们的身体健康。
5、下列语句修辞手法与其他三项不同的是()A.树尖上顶着一髻儿白花,好像日本看护妇。
B.天儿越晴,水藻越绿,就凭这些绿的精神,水也不忍得冻上。
C.那点薄雪好像忽然害了羞,微微露出点粉色。
D.济南市受不住大雪的,那些小山太秀气。
6、下面一段文字依次填入横线处的语句,衔接最恰当的一组是()春日踏青,青芜如毯,___________________;夏日听雨,雨声淅沥,___________________;秋日看花,花叶相辉,_____________;冬日观雪,雪意阑珊, ______________。
人教版七年级数学下册期末考试测试卷(含答案)
人教版七年级数学下册期末考试测试卷(含答案)班级:姓名:得分:时间:120分钟满分:120分一、选择题(共10小题,每题3分,共30分)1.在实数5、227、0、2π、36、-1.414中,有理数有( )A.1个 B.2个 C.3个 D.4个2.在平面直角坐标系中,若点P(m-3,m+1)在第二象限,则m的取值范围为()A.-1<m<3B.m>3C.m<-1D.m>-13.在直角坐标系中,点A(2,1)向左平移4个单位长度,再向下平移2个单位长度后的坐标为()(A)(4,3)(B)(-2,-1)(C)(4,-1)(D)(-2,3)4.将一直角三角板与两边平行的纸条如图所示放置,有下列结论:(1)∠1=∠2;(2)∠3=∠4;(3)∠2+∠4=90°;(4)∠4+∠5=180°.其两边平行的纸条如图所中正确的个数为()A.1 B.2 C.3 D.45.如图,已知AC∥BD,∠CAE=30°,∠DBE=45°,则∠AEB等于( )A.30° B.45° C.60° D.75°6.如果a3x b y与﹣a2y b x+1是同类项,则()A 、23xy=-⎧⎨=⎩B.23xy=⎧⎨=-⎩C.23xy=-⎧⎨=-⎩D.23xy=⎧⎨=⎩7.林老师对本班40名学生的血型作了统计,列出如下的统计表,则本班A型血的人数是( ).组别A 型B 型 AB 型 O 型 频率 0.40.350.10.15A.16人B.14人C.4人D.6人8.若y x 、满足0)2(|3|52=-+-+y x y x ,则有( )(A )⎩⎨⎧-=-=21y x (B )⎩⎨⎧-=-=12y x (C )⎩⎨⎧==12y x (D )⎩⎨⎧==21y x9.某校团委与社区联合举办“保护地球,人人有责”活动,选派20名学生分三组到120个店铺发传单,若第一、二、三小组每人分别负责8、6、5个店铺,且每组至少有两人,则学生分组方案有( ) A.6种 B.5种 C.4种 D.3种10.若关于x 的一元一次不等式组⎩⎨⎧>-<-01a x x 无解,则a 的取值范围是( )A . 1≥aB . 1>aC .1-≤aD . 1-<a 二、填空题(共10小题,每题3分,共30分) 11.点P (-5,1),到x 轴距离为__________.12.如图,是象棋盘的一部分,若“帅”位于点(2,-1)上,“相”位于点(4,-1)上,则“炮”所在的点的坐标是 。
2023年人教版七年级下册语文期末测试卷(参考答案)
2023年人教版七年级下册语文期末测试卷(参考答案)满分:120分考试时间:120分钟一、语言的积累与运用。
(35分)1、下列各项中加点字注音全部正确的一项是()A.脸颊.(jiá)匿.笑(nì)徘徊.(huái)霎.时(shà)B.倔强.(qiàng)胆怯.(qiè)蜿.蜒(wān)诀.别(qué)C.模.样(mó)弧.形(hú)冀.中平原(jì)截.然不同(jié)D.绽.开(zhàn)感慨.(gǎi)小心翼翼..(yì)花团锦簇.(cù)2、下列各项中词语的书写完全正确的一项是()A.帐蓬热腾腾金风玉露赅人听闻B.乞丏光秃秃引人遐思截然不同C.凌乱白洋淀油然而生谆谆教诲D.仿膳熏衣草迫不及待兴高采烈3、下列句中加点的词语使用不恰当的一项是( )A.要达到“问责必严”这一要求和目标,必须揪住问题不放、针对问题“不求..甚解..”。
B.他带领当地干部群众,将不毛之地....变成郁郁葱葱的生态旅游海岛。
C.我们应该对“欠薪”问题来个刨根问底....,找出真正的症结,并对症施治。
D.在“中国诗词大会”赛场,选手们自信满满,对答如流....,精彩的表现折服了观众。
4、下列各项中,有语病的一项是()A.礼是由传统和习俗形成的行为规范。
B.传统文化培养了中国民众高尚文雅的气质和彬彬有礼的精神风貌。
C.重礼仪的民族,都是古代经济较为发达,衣食生活比较充足。
D.礼尚往来是中国古代社会家喻户晓的礼节,也是人们交往的准则。
5、下面句子不是比喻句的一项()A.狂风呼啸着穿过破房子的缝隙,像一只饥饿的野兽发出的吼叫。
B.在我眼里,他就像这块不毛之地上涌出的神秘泉水。
C.看到了一片灰灰的薄雾,像地毯一样,铺在高原上。
D.狡诈者轻鄙学问,愚鲁者羡慕学问,惟聪明者善于运用学问。
6、按顺序排列下面的语句,组成语意连贯的一段话,排序正确的一项是()①一夜枕上听雨,辗转不能成寐,清晨推窗望去,雨却停了。
