篇一：长春市2016年中考数学试题含答案(Word版)
2016年长春市初中毕业生学业考试
数 学
本试卷包括三道大题，共24道小题，共6页。全卷满分120分．考试时间为120分钟。考试结束后，将本试卷和答题卡一并交回。
注意事项：
1．答题前，考生务必将自己的姓名、准考证号填写在答题卡上，并将条形码准确粘贴在条形码区域内。
2．答题时，考生务必按照考试要求在答题卡上的指定区域内作答，在草稿纸、试卷上答题无效。
一、选择题（本大题共8小题，每小题3分，共24分）
1．?5的相反数是
（A）?． 1
5 （B）1． （C）?5． 5（D）5．
2．吉林省在践行社会主义核心价值观活动中，共评选出各级各类“吉林好人”45 000多名.45 000这个数用科学记数法表示为
（A）45?103 （B）4.5?104． （C）4.5?105． （D）0.45?105．
3．右图是由5个相同的小正方体组成的立体图形，这个立体图形的俯视图是
（A） （B） （C） （D）
?x?2＞0 (第3题)
4．不等式组? 的解集在数轴上表示正确的是 ?2x?6≤0
（A） （B）
（C）（D）
5.把多项式x2?6x?9分解因式，结果正确的是
（A）(x?3)2． （B）(x?9)2．
（C）(x?3)(x?3)．（D）(x?9)(x?9)．
6．如图，在Rt△ABC中，∠BAC=90°.将Rt△ABC绕点C按逆时针方向旋转48°得到Rt△A'B'C，点A在边B'C上，则∠B'的大小为
（A）42°． （B）48°．
（C）52°．（D）58°．
(第6题)
AB的长为 7．如图，PA、PB是⊙O的切线，切点分别为A、B．若OA=2,∠P=60°，则?
245（A）?． （B）?． （C）?．（D）?． 333
(第7题)(第8题)
k8.如图，在平面直角坐标系中，点P（1，4）、Q（m,n）在函数y?(x?0)的图象上， 当m?1时，过点x
P分别作x轴、y轴的垂线，垂足为点A、B；过点Q分别作x轴、y轴的垂线，垂足为点C、D. QD交PA于点E，随着m的增大，四边形ACQE的面积
（A）减小． （B）增大． （C）先减小后增大． （D）先增大后减小．
二、填空题（本大题共6小题，每小题3分，共18分）
9．计算：(ab)3=．
10．关于x的一元二次方程x2?2x?m?0有两个相等的实数根，则m的值是．
11．如图，在△ABC中，AB>AC.按以下步骤作图：分别以点B和点C为圆心，大于BC一半的长为半
径作圆弧，两弧相交于点M和点N；作直线MN交AB于点D；连结CD．若AB=6,AC=4,则△ACD的周长为．
(第11题) (第12题) (第13题)
12．如图，在平面直角坐标系中,正方形ABCD的对称中心与原点重合,顶点A的坐标为(-1,1),顶点B在第
一象限．若点B在直线y?kx?3上,则k的值为．
AB上一点.若∠OAB=25°,∠OCA=40°，13．如图，在⊙O中，AB是弦，C是?则∠BOC的大小为度．
14．如图，在平面直角坐标系中，菱形OABC的顶点A在x轴正半轴上，顶点C的坐标为 （4，3）.D是抛物线y??x2?6x上一点，且在x轴上方.
则△BCD的最大值为．
(第14题)
三、解答题（本大题共10小题，共78分）
15．（6分）先化简，再求值：(a?2)(a?2)?a(4?a)，其中a?1． 4
16．（6分）一个不透明的口袋中有三个小球，上面分别标有数字0，1，2.每个小球除数字不同外其余均相
同.小华先从口袋中随机摸出一个小球，记下数字后放回并搅匀；再从口袋中随机摸出一个小球记下数字.用画树状图（或列表）的方法，求小华两次摸出的小球上的数字之和是3的概率．
17.（6分）A、B两种型号的机器加工同一种零件，已知A型机器比B型机器每小时多加工20个零件，A
型机器加工400个零件所用时间与B型机器加工300个零件所用时间相同.求A型机器每小时加工零件的个数
.
18．（6分）某中学为了解该校学生一年的课外阅读量，随机抽取了n名学生进行调查，并将调查结果绘制
成如下条形统计图．根据统计图提供的信息解答下列问题：
（1）求n的值.
（2）根据统计结果，估计该校1100名学生中一年的课外阅读量超过10本的人数.
n名学生一年的课外阅读量的人数条形统计图
(第18题)
19．（7分）如图，为了测量长春解放纪念碑的高度AB，在与纪念碑底部B相距27米的C处，用高1.5米
的测角仪DC测得纪念碑顶端A的仰角为47°，求纪念碑的高度．（结果精确到0.1米.）
【参考数据：sin47??0.731，cos47??0.682，tan47??1.072】
(第19题)
20.（7分）如图．在□ABCD中，点E在边BC上，点F在边AD的延长线上，且DF=BE.EF与CD交于点G.
（1）求证：BD∥EF .
（2）若DG2?,BE=4,求EC的长. GC3
(第20题)
21．（9分）甲、乙两车分别从A、B两地同时出发.甲车匀速前往B地，到达B地立即以另一速度按原路匀
速返回到A地；乙车匀速前往A地.设甲、乙两车距A地的路程为y（千米），甲车行驶的时间为x(时），y与x之间的函数图象如图所示.
（1）求甲车从A地到达B地的行驶时间.
（2）求甲车返回时y与x之间的函数关系式，并写出自变量x的取值范围．
（3）求乙车到达A地时甲车距A地的路程.
(第21题)
22．（9分）感知：如图①，AD平分∠BAC，∠B+∠C=180°，∠B=90°.易知：DB=DC.
探究：如图②，AD平分∠BAC，∠ABD+∠ACD=180°，∠ABD<90°.求证： DB=DC.
应用：如图③，四边形ABDC中，∠B=45°，∠C=135°,DB=DC=a,则AB-AC=____．
（用含a的代数式表示）
图① 图②图③
(第22题)
23．（10分）如图，在菱形ABCD中，对角线AC与BD相交于点O，AB=8，∠BAD=60°.点E从点A出发，
沿AB以每秒2个单位长度的速度向终点B运动.当点E不与点A重合时，过点E作EF⊥AD于点F，作EG∥AD交AC于点G，过点G作GH⊥AD交AD（或AD的延长线）于点H，得到矩形EFGH.设点E运动的时间为t秒.
（1）求线段EF的长.（用含t的代数式表示）
（2）求点H与点D重合时t的值；
（3）设矩形EFHG与菱形ABCD重叠部分图形的面积为S平方单位，求S与t之间的函数关系式；
（4）矩形EFHG的对角线EH与FG相交于点O'.当OO'∥AD时，t的值为______；当OO'⊥AD时，
t的值为______
.
(第23题)
24.（12分）如图，在平面直角坐标系中.有抛物线y?a(x?3)2?4和y?a(x?h)2.抛物线
y?a(x?3)2?4经过原点，与x轴正半轴交于点A，与其对称轴交于点B.P是抛物线y?a(x?3)2?4上一点，且在x轴上方.过点P作x轴的垂线交抛物线y?a(x?h)2于点Q.过点Q作PQ的垂线交抛物线y?a(x?h)2于点Q'(不与点Q重合)，连结PQ'.设点P的横坐标为m.
（1）求a的值.
（2）当抛物线y?a(x?h)2经过原点时，设△PQQ'与△OAB重叠部分图形的周长为l.
①求PQ的值. QQ'
②求l与m之间的函数关系式.
（3）当h为何值时，存在点P，使以点O、A、Q、Q'为顶点的四边形是轴对称图形？直接写出h的值.
(第24题)
篇二：2016年长春市中考英语试卷及答案
2016长春中考英语试题
（满分95分，考试时间为100分钟）
一、基础知识（共25分）
I. 在下列各句的空白处填入一个适当的词，使句子意思完整，语法正确。（5分）
1. You must return the book in fifteen days. It’s a ________ of our library.
2. Anna is independent and she can look after ________ when she’s alone at home.
3. It is polite for students to put ________ their hands in class if they have questions.
4. Walk along the street, and you will see the computer museum ________ your left.
5. Our class always win prizes in the poem competition. We will ________ pride in ourselves.
II. 用括号内所给单词的正确形式填空。（5分）
6. The ________ (five) talent show gave us a big surprise.
7. The math problem isn’t difficult, and I can work it out ________ (easy).
8. The seat is hard and ________ (comfortable) to sit on, so I have a sore back.
9. Mum, have you finished ________ (cook)? Is there anything I can do for you?
10. My grandma is interested in taking ________ (photo) with her mobile phone.
III. 单项选择。（15分）
从每小题所给的四个选项中，选出一个最佳答案。
11. We will have ________ reading festival this term, and we can’t wait for it.
A. a B. an C. the D. /
12. There ________ two dictionaries on the bookcase. You can use either of them.
A. is B. was C. are D. were
13. ----The students of Grade 9 in(原文来自：wWW.DxF5.com 东 星资源网:2016年长春中考试题) Changchun have to take part in the P.E. test from 2016.
----Yes. ________ you want to pass it and be stronger, practice more.
A. until B. if C. unless D. or
14. ----Do you improve your spoken English by communicating with others or reading aloud?
----________. I make lots of new friends in this way, too.
A. Yes, I do. B. I like English very much.
C. No, I don’t. D. By communicating with others.
15. ----Could you tell me ________ every morning?
----Sure. I have to catch the school bus.
A. why you get up earlyB. why do you get up early
C. why did you get up early D. why you got up early
16. Mr. Chen is a teacher ________ I want to learn from. He is so knowledgeable.
A. which B. when C. who D. what
17. I hope my school life of senior high will be ________ than that of junior high.
A. more exciting B. very exciting
C. as exciting as D. the most exciting
18. ________ great news it is! We’ll have a school trip next week.
A. What aB. What C. How a D. How
19. In 2022, Beijing will host the Winter Olympics. ________ my brother and I want to watch it.
A. NeitherB. All C. Either D. Both
20. ----________ do you volunteer in Old People’s Home?
----Once a week. We hope to help the old more.
A. How soonB. How manyC. How oftenD. How long
21. I bought a big box ________ books for kids in poor areas.
A. collectsB. to collectC. collect D. collected
22. Yang Jiang ________ be the boy’s favorite writer. He has written a lot to praise her.
A. can’t B. mustn’tC. must D. need
23. Chinese New Year ________ the spring Festival. People often eat dumplings.
A. is calledB. was calledC. calls D. called
24. ________ me an e-mail before you come to Hangzhou. I’ll meet you at the airport.
A. SendingB. To sendC. Sends D. Send
25. ----Would you please help me do the dishes, John?
----________, but I’m busy cleaning my room.
A. You’re welcome. B. I’m sorry.C. It doesn’t matter. D. That’s right.
二、交际运用（共5分）
IV. 根据对话内容，运用方框中所给的句子选项补全对话。选项中有一项是多余的。（5分）
Jingjing: Time to relax! Any plan for this summer vacation?
Xiaoyu: . What about you?
Jingjing: Do you know Shanghai Disneyland was opened on June 16?
Xiaoyu: Yes. It’s the first Disneyland on the Chinese mainland.
Jingjing: Xiaoyu: I agree. It is also said the price of the ticket is the lowest in the world.
Jingjing: Cool! And it helps us Chinese to taste the US culture.
Xiaoyu: Jingjing: Me, too. High-technology movies in Disneyland are lively and fantastic.
Xiaoyu: And we can take pictures with our favorite characters in the park.
Jingjing: Xiaoyu: Mickey and Minnie. I’m thirsty for getting some toys.
Jingjing: I can’t wait!
Xiaoyu: Sounds great. That’s a deal. But it’s reported that it’s too crowded.
V. 完形填空。（15分）
阅读短文，掌握其大意，然后从每小题所给的四个选项中选出一个最佳答案。
Zhang Lei is a highly skilled（技艺精湛的）doctor. He was born in a lonely village. The people there lived a hard life. They seldom walked out of the mountain. They could get good education. However, Zhang Lei was , for he not only went to college, but he also became an excellent doctor. Then what made him lucky? A volunteer teacher called Han Xue encouraged him, and his life.
When Han Xue first entered Zhang Lei’s school, she couldn’t sights（情景）in front of her: broken windows, small old desks and chairs. Even worse, students of different ages were in the classroom. It was the only class in the school. Han Xue realized poor the people were in education. She planned to as many ways as she could to help them. One day when Han Xue was giving a class, Zhang Lei some noises for fun. Other kids laughed. At that time Han Xue decided to make good use of the Looking at them “As soon as I see your little , I know you will become a highly skilled doctor in the future. Come on!” Hearing this, Zhang Lei was surprised because
almost said such words this way. Zhang Lei couldn’t believe that completely, but he remembered what the teacher said in his heart.
After that, Zhang Lei studied harder and then made more continuously. Later, Zhang Lei went to Zhang Lei talks about his life, he always expresses thanks to his volunteer teacher. Her encouraging words have made what he is.
31. A. forest B. sea C. mountainD. river
32. A. hardly B. usuallyC. always D. ever
33. A. simple B. lucky C. popularD. common
34. A. worriedB. understoodC. changedD. caught
35. A. cover B. close C. open D. believe
36. A. bright B. new C. same D. enjoyable
37. A. how B. when C. where D. what
38. A. hand outB. find outC. hang outD. come out
39. A. said B. put C. played D. made
40. A. chanceB. changeC. exampleD. action
41. A. angrilyB. sadly C. nervouslyD. carefully
42. A. fingersB. head C. eyes D. ears
43. A. everybodyB. anybodyC. nobodyD. somebody
44. A. decisionsB. progressC. discussionsD. plans
45. A. WhateverB. WheneverC. WhoeverD. However
VI. 阅读理解。（30分）
(A)
Xiaofan, a smart boy from Shenzhen, used to have difficulty in getting up on time, and his alarm clock was of no use at all. It made him very upset. One day, he had a good idea.
Xiaofan went to a shop and bought a tape. Back home, he started to record what he wanted. After that, he took out a tool box and connected his tape player with the new tape to his alarm clock. A special alarm clock was born. At a certain time in the morning, the tape player would play soft music with a low and sweet voice of a young girl, “Wake up, please.” Five minutes later, the tape player would play again, and it might be loud music. At the same time, he could hear a recording of his parent, “Wake up at once, or you’ll be late!”
Several days later, Xiaofan got used to the sound of the recordings. After the recordings, he was still sleepy, and even fall asleep again. That was terrible! So he went to the library and borrowed plenty of books home to deal with his problem of getting up late.
He made it! With the help of what he had learned from the books, he put a mechanical（机械的）arm at the end of the bed. Now if Xiaofan still doesn’t get up at last, the arm in the bed will “beat” him, and even make him out of the bed.
The special bed with a mechanical arm helps Xiaofan a lot, but it is not sold in stores.
根据短文内容，选择最佳答案。（5分）
46. ________ used to be Xiaofan’s problem in the morning.
A. Playing soft musicB. Making a new bed
C. Falling asleep D. Being difficult to get up on time
47. Xiaofan bought ________ in the shop.
A. an alarm clock B. a tape C. a tool boxD. a tape player
48. Xiaofan went to the library to ________.
A. return some booksB. write a book
C. borrow many books home D. read plenty of books there
49. Now if Xiaofan still doesn’t get up at last, ________.
A. the alarm clock will ring again
B. the arm in the bed will “beat” him
C. he will hear a recording of his parent
D. the tape player will play a recording of a young girl
50. From the passage, we can know that Xiaofan is ________.
A. creativeB. outgoingC. lazy D. careless
(B)
For Schultz, a 77-year-old man, this is a chance of a lifetime. Schultz is part of a group of around 50 Germans who are on a bus journey along the ancient Silk Road.
Speaking of his journey, he says: “I have been deeply interested in the Silk Road since I was a child, but now I finally have a chance to experience it.”
The two-month bus journey will take the group through Germany, Russia, and other 4 European countries. They will then enter China from the country’s western part. It will be an unforgettable memory for them.
Nearly half of the 13,000-kilometer trip will be inside China. From Xinjiang in the west to Shanghai in the east, the German visitors will see more than 20 Chinese cities. “We have managed the trip of the Silk Road for around 10 years. An increasing number of people, not only from German-speaking countries, have been joining us," says Liu Guoqiang from China Tours.
Almost 26 million foreigners traveled to China in 2015, and about 5 million of them were from Europe. Beijing, Xi’an, Shanghai and the Changjiang River are traditional Chinese travel for European tourists. Speaking of where he wants to go, Schultz says, “Compared with modern cities, the culture in western China attracts（吸引）me more.
As Shi Xiang, head of the China Tours, says, “Being a new brand to attract foreign visitors, the Silk Road is good for people to know more about China, especially the northwestern part of the country.”
(China Daily)
根据短文内容，选择最佳答案。（5分）
51. How will the group of around 50 Germans have the tour?
A. By car.B. By train.C. By bus.D. By subway.
52. Where will the German group enter China?
A. From the western part of China.B. From Beijing.
C. From the eastern part of China. D. From Shanghai.
53. According to Liu Guoqiang, how long has China Tours managed the trip?
A. For 26 months. B. For around 10 years.
C. For 2 months. D. For about 20 years.
54. What’s the meaning of the word “destinations” in Part 5?
A. 标志 B. 道路 C. 品牌 D. 目的地
55. Which is the best title（题目）for this passage?
A. Silk Road: A fashionable way to buy silk
B. Silk Road: An old brand to attract Chinese
C. Silk Road: A new way to learn about China
D. Silk Road: A better chance to see modern cities
(C)
Every year, in late March or early April, a boat race takes place on the Thames River, England. This boat race is an event between the two most famous and also the oldest universities in Britain – the Oxford（牛津大学）and the Cambridge（剑桥大学）.
The idea for the boat race between the universities came from two friends – Charles Merivale, a student at Cambridge, and his friend Charles Wordsworth who was at Oxford. They decided to set up a boat race between the two universities. On March 12, 1829, Cambridge sent a challenge to Oxford first.
When the first boat race took place in a small town by Thames, eight students from each university became the
competitors. Crowds of twenty thousand traveled to watch. It was so exciting. And the Oxford was clear winners. Later on, not only did the students from the two universities take part, but also some social groups attended the event. By 1845, with the small town becoming too crowded, the boat race had moved six miles up to the village – Putney. From 1856 on, the race has been held every year except war years. This boat race is considered to be “the world’s oldest sporting challenge”.
The race is four and a quarter miles in just 20 minutes and the competitors often face difficulties. It usually takes six months for the two teams to prepare for the big days. In the past, the Oxford was mostly the winners. But things have changed from 1993 on. The Cambridge has won more.
根据短文内容，判断正（T）误（F）。（5分）
56. The boat race takes place between the Oxford and the Cambridge.
57. On March 12, 1829, Oxford sent a challenge to Cambridge first.
58. Eight students from each university became the competitors of the first boat race.
59. From 1856 on, the boat race has been held every year with no stop.
60. It usually takes six months for the two teams to prepare for the boat race.
请根据下面的小标题，从上面的描述中找出与其相匹配的选项。（5分）
61. Drink water more
62. Enjoy foods at home
63. Plan what you spend
64. Walk rather than drive
65. Save your pocket money
(E)
There was a little boy whose name was Peter. He lived in a village close to the sea. The villagers built sea walls to keep sea water from the doors of the houses. But once the sea walls almost put the village in great danger.
One day, Peter was walking on his way back home along the sea wall when it began to rain. All of a sudden, he saw a hole in the wall, from which the sea water was running. Peter shouted for help because he knew the hole meant that the sea was making its way through the sea wall, but no answer came. He realized he should do something else as quickly as possible, or the sea water could be pouring over the whole village. He started to rush towards his village. At the same time, the rain became heavier and heavier.
It was getting dark, but Peter rushed on and on. He felt cold and hungry. In the rainstorm, he fell down over and over again. Many times he thought about giving up, but he fought on. He remembered his father’s words, “Lots of
篇三：2016长春中考数学试卷-扫描版-带答案