成都七中2012年外地生招生考试
英语试卷
本试卷共两卷, 第一卷和第二卷。第一卷的答案请涂在答题卡上, 第二卷的答案请写在答题卡上的规定位置。交卷时交答题卡及第一、二卷。试卷总分为100分, 考试时间为100分钟。
第一卷（选择题，共80分）
第一部分：英语知识运用（共两节，满分40分）
第一节：单项填空（共20小题；每小题1分，满分20分）
从A,B,C,D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
1. Li Xin is ______ failure as a learner driver, because he failed to pass ______ driving test again.
A. the; /
B. /; the
C. a; the
D. the; a
2. —The 7th edition of Oxford Advanced learner’s English-Chinese Dictionary has been on sale
for long.
—Thanks for telling me. I’ll go and buy ______ tomorrow.
A. it
B. that
C. one
D. those
3. You ______ make any noise here, for the students are having the final exam.
A. mustn’t
B. needn’t
C. won’t
D. couldn’t
4. Wen Jiabao, head of the Chinese government, said in his report ______ the government would
try to bring down the price of houses.
A. what
B. that
C. which
D. where
5. —Do you mind ______ the window for me? I feel hot here.
—No. I’ll do th at. In fact, I feel like ______ the fresh air from outside.
A. opening; to breathe
B. to open; breathing
C. to open; to breathe
D. opening; breathing
6. —______ doctors will be chosen to volunteer in the medical project.
—Really? I hope I’ll be one of them.
A. Thousand of
B. One thousands of
C. Thousands
D. One thousand
7. —I have much difficulty in improving my English.
—Never ______ give up.
A. would you
B. you can
C. you should
D. will you
8. Last year, she wrote to tell me she ______ her new dance. But I ______ from her ever since.
A. was practising; haven’t heard
B. has practised; haven’t heard
C. was practising; hadn’t heard
D. practised; didn’t hear
9. We’ve j ust moved into a new classroom and there’s a lot to do. Let’s ______ it.
A. catch up with
B. get down to
C. get along with
D. look forward to
10. You can’t believe how terrible the fire is ______ you see it with your own eyes.
A. though
B. because
C. unless
D. as
11. —Shall we go out for a walk?
—Sorry. This is not th e right ______ to invite me, for I’m too tired to walk.
A. reason
B. situation
C. chance
D. moment
12. The day ______ Jing Haipeng walked in space is a day ______ he will never forget.
A. when; that
B. when; when
C. that; when
D. which; /
13. We give dogs time, space and love, and ______ dogs give us their all.
A. in time
B. in need
C. in return
D. in fact
14. —Do you have any problems if you ______ this job?
—Well, I’m thinking about the salary…
A. offer
B. will offer
C. are offered
D. will be offered
15. We often eat with our eyes. So we prefer to order what ______ nice and attractive.
A. is smelt
B. is tasted
C. looks
D. sounds
16. Computers and mobile phones, though they are indeed making our life ______ and more
______, have reduced the need for face-to-face communications.
A. easily; efficiently
B. easier; efficient
C. easy, efficiently
D. easily; efficient
17. It was in Chengdu ______ I first met Elizabeth.
A. how
B. that
C. what
D. where
18. Every athelete together with their coaches (教练) ______ hard to make good preparations for
the coming 2012 London Olympics.
A. has worked
B. are going to work
C. work
D. is working
19. _______ he had shut all the windows, Tom returned to check them carefully.
A. Having made sure
B. Making sure
C. To make sure
D. Make sure
20. —A moment, please. I have another call coming through.
—______. I’m not in a hurry.
A. Take your time
B. Do as you like
C. Leave me alone
D. Pardon me
第二节：完形填空（共20小题，每小题1分，满分20分）
阅读下面短文，掌握其大意，然后从21-40各题所给的四个选项（A,B,C和D）中，选出一个最佳选项，并在答题卡上将该项涂黑。
I was not looking forward to entering high school. High school is well known for being a battleground, where everyone 21 to be going through physical changes, emotional mood swings, and low self-esteem (自尊). For me, 22 was my problem.
For a long time I had always felt insecure and out of place as one of the 23 members of my class, 24 a head above the other girls and stooping (弯腰) at the 25 of the line to avoid sticking out. I 26 especially being around large groups of people, like during the social hour after services at my church. 27 the prayers were finished, I would leave as quickly as possible so I could 28 other well-meaning congratulations, "Ruthie! Look how tall you're gett ing!”
My grandfather would watch me 29 increasingly uncomfortable, but he did not 30
at my self-consciousness or try to comfort me. 31 , he would remind me. "Stand straight and tall," he would say, as I tried my best to shrink myself. Moreover, each time, I would shyly comply (服从). Even at the age of 15, I understood that his advice was about 32 than just feet and inches.
My grandfather grew up in war-torn Europe. When German soldiers 33 his hometown, He wound up joining the Soviet army to fight 34 his country's freedom. "Stand straight, stand tall," meant something else back then.
After the war, he boarded a boat for 35 , and on January 27, 1947, he stepped onto the dock in Manhattan. He was hungry and 36 from seasickness. All alone in a new country, he was 37 about his future. Still, he marched head-on into the streets of New York. Soon he met 38 European immigrants, and each of them was struggling to find his or her own way. If they could do it, 39 couldn't he? "Stand straight, stand tall," he would remind himself. He felt his faith 40 . When he walked into the church that first time, he walked in proudly.
21. A. seems B. stops C. pretends D. practises
22. A. age B. sex C. face D. height
23. A. high B. taller C. thin D. shorter
24. A. standing B. walking C. forming D. making
25. A. head B. beginning C. back D. side
26. A. like B. try C. consider D. hate
27. A. Until B. Since C. Once D. Before
28. A. accept B. receive C. avoid D. refuse
29. A. keep B. grow C. turn D. change
30. A. look B. stare C. stay D. laugh
31. A. Instead B. Besides C. However D. Therefore
32. A. better B. more C. less D. rather
33. A. helped B. developed C. occupied D. lived
34. A. against B. for C. with D. from
35. A. Germany B. Australia C. America D. Canada
36. A. separating B. learning C. suffering D. judging
37. A. sorry B. anxious C. crazy D. nervous
38. A. another B. the other C. other D. others
39. A. how B. where C. when D. why
40. A. disappearing B. returning C. waiting D. losing
第二部分阅读理解（共20小题；每小题2分，满分40分）
第一节：阅读下列短文，从每题所给的四个选项（A,B,C和D）中，选出最佳选项，并在答题卡上将该项涂黑。
A
Your first term is sure to be manic (躁狂的)，but there’s no need to panic. Read the following suggestions on how to make your first months unforgettable.
Wake up
You’ve just finished spending the long summer holiday and now is the time to wake up and ready to work hard.
Eat properly
Eat fruit and vegetables every day, eat breakfast and avoid fatty, salty food; they all lead to a happier and healthier you.
Check stock
Make sure you’ve got everything you need, such as textbooks, pens, pencils, paper and anything else that’s specific to your lessons.
Question everything
Don’t be in a “Why am I here?” way, but try to get your head around anything you’ve not sure of. For example, if you don’t understand something that has come up in a textbook, ask your teachers.
Write stuff
Early on it’s worth making even more notes than you might usually, just to make sure you don’t miss anything that you will need later. As you progress you’ll get a better idea of how many notes you need to make.
Compare notes
Once you have made those notes, why not discuss them with your classmates? It’s a good way to get to know them better and make sure you haven’t missed anyt hing in the process.
Get involved (参与)
When you sign up for all those clubs, don’t forget to go along to them! This is a chance to meet new people and learn new things.
_________
Let friends and relatives know how you’re getting on, while it’s also good t o hear from the people you love. However, don’t go home on your first weekend if you live at the school; settle in your new surroundings first.
41. What’s the writer’s purpose of giving suggestions to the new students？
A. To make them eat properly.
B. To make them make as many notes as possible.
C. To make their first term memorable and colorful.
D. To tell them to compare notes with their classmates.
42. What does the underlined word “It” in Paragraph 7 refer to?
A. To get to know your lessons better.
B. To discuss your notes with your classmates.
C. T o make sure you haven’t missed anything in the process.
D. To make your notes.
43. Which of the following can be filled in the blank of Paragraph 9?
A. Phone home.
B. Eat out.
C. Go home.
D. Make friends.
B
Chengdu No.7 High School has formed a bright character and good tradition in school operation in the long period education and teaching practices. It mainly focuses on compulsory subjects, with a combination of selected subjects. It has formed a practical teaching system which mainly focuses on subject practical teaching, social practices teaching and campus extracurricular activities teaching. In the year of 1994, Mr. Li Lanqing, who was the then Prime Minister of the State Council, highly evaluated Chengdu No.7 High School when he visited here and said: “The happiest thing I have seen in the school is that students can get fully developed”.
With 100 years’ history, Chengdu No.7 High School has many talents. Large numbers of alumni became academic masters, talents and government backbones by holding key positions in education and scientific research departments, key businesses, national defense authorities and governments. Famous people Sun Zhen and Tian Jiaying once studied at No.7 High School, while academicians from Chinese Academy of Sciences and Chinese Academy of Engieering like Chen Jiayong, Li Yinyuan, Pu Fuke graduated from Chengdu No.7 High School.
Chengdu No.7 High School has many intelligent students. There are about 400 students every year from Chengdu No.7 High School who get municipal-above level prizes in various competitions. Up to the year of 2010, 9 gold medals have been obtained in International High School Students’ Subjects Olympic C ompetitions. Every year more than half of the school graduates are accepted into famous Chinese universities. Its acceptance rate ranks top. Also there are about 100 students every year who are accepted by famous overseas universities.
Chengdu No.7 High School has four student organizations, two newspapers, four magazines as well as more than 30 student communities and more than 80 selective courses and activity classes. All of these provide a great stage and diversified options for student full development.
Chengdu No.7 High School is the window for international communication and one of the first Chinese communication bases with foreign schools in Sichuan Province. It has friendly cooperative relationship with schools from more than 10 countries for mutual visiting and
exchanging in teaching.
44. The purpose of the writing is ________.
A. to describe the talents and intelligent students
B. to make a list of all the great achievements
C. to show us how to get fully developed
D. to tell us what the school is like
45. Which of the following is TRUE?
A. About 400 students get municipal-above level prizes in various competitions.
B. Li Lanqing was satisfied with the development of Chengdu No.7 High School.
C. More attention is paid to campus extracurricular activities teaching.
D. Chengdu No.7 High School is the first Chinese communication base with foreign schools.
46. Students can get fully developed through ________.
A. focusing on compulsory subjects
B. joining the student organizations
C. getting the national first prize
D. holding key positions in scientific research departments
47. We can learn from the text that ________.
A. the newspapers and magazines issued by the school authority are much liked by students
B. t he school’s alumni, like Sun Zhen and Li Lanqing, became backbones of the country
C. extracurricular activities and selective courses are designed for students’ full development
D. t he school’s long history and good tradition are the only two reasons for its greatness
C
Lisa was running late. She had a lot to do at work, plus visitors on the way: her parents were coming in for Thanksgiving from her hometown. But as she hurried down the subway stairs, she started to feel uncomfortably warm. By the time she got to the platform (站台), Lisa felt rather weak and tired. She rested herself against a post close to the tracks.
Several yards away, Frank and his girlfriend, Jennifer, found a place close to where the front of the train would stop. They were deep in discussion about a house they were thinking of buying.
But when he heard the scream, followed by someone shout ing, “Oh，my God，she fell in!” Frank didn’t hesitate. He jumped down to the tracks and ran some 40 feet toward the body lying on the rails. “No! Not you! ” his girlfriend screamed after him.
She was right to be alarmed. By the time Frank reached Lisa, he could feel the tracks shaking and see the light coming. The train was about 20 seconds from the station.
It was hard to lift her. She was just out. But he managed to raise her the four feet to the platform so that bystanders could hold her by the arms and drag her away from the edge. That was where Lisa briefly regained consciousness (知觉), felt herself being pulled along the ground, and saw someone else holding her purse.
Lisa thought she’d been robbed. A woman held Lisa’s hand and a man gave his shirt to help stop the blood pouring from her head. Lisa tried to talk but she couldn’t, a nd that was when she realized how much pain she was in.
Police and fire officials soon arrived, and Frank told the story to an officer. Jennifer said her boyfriend was calm on their 40-minute train ride downtown—just as he had been a short while after the rescue, which made her think about her reaction at the time. “I saw the train coming and I was thinking he was going to die,” she explained.
48. Why did Jennifer try to stop her boyfriend?
A. Because they would miss their train.
B. Because he didn’t se e the train coming.
C. Because she was sure Lisa was hard to lift.
D. Because she was afraid the train would kill him.
49. How did Frank save Lisa?
A. By lifting her to the platform.
B. By helping her rise to her feet.
C. By pulling her along the ground.
D. By dragging her away from the edge.
50. When did Lisa become conscious again?
A. When the train was leaving.
B. After she was back on the platform.
C. After the police and fire officials came.
D. When a man was cleaning the blood from her head.
51. The reading passage mainly _______.
A. warns us of the danger in the subway
B. shows us how to save people in the subway
C. tells us about a subway rescue
D. reports a traffic accident
D
Many facts show that children in America are overweight and the situation is getting worse. I feel there are a number of reasons for this.
Some people blame the fact that we are surrounded (包围) by shops selling unhealthy, fatty foods, such as fried chicken and ice cream, at low prices. This has turned out a whole generation of grown-ups who seldom cook a meal for themselves. If there were fewer of these restaurants, then probably children would buy less take-away food.
There is another argument that blames parents for allowing their children to become overweight. I agree with this, because good eating habits begin early in life, long before children start to visit fast food shops. If children are given fried chicken and chocolate instead of healthy food or are always allowed to choose what they eat, they will go for sweet and salty foods every time, and this will carry on throughout their lives.
There is a third reason for this situation. Children these days take very little exercise. They do not walk to school. When they get home, they sit in front of the television or their computers
and play computer games. Not only is this an unhealthy pastime (消遣), it also gives them time to eat more unhealthy food. What they need is to go outside and play active games or sports.
The above are the main reasons for this problem, so we have to encourage young people to be more active, and steering them away from fast food shops and bad eating habits.
52. According to the text, what kind of children may eat more unhealthy food?
A. Those who often take exercise.
B. Those who often watch television.
C. Those who often have meals at home.
D. Those who often walk to school.
53. The author thinks that children are becoming overweight because _______.
A. their parents often cook meals for them
B. they are too busy to go out and play
C. they can' t choose what to eat
D. there are too many fast food shops around
54. The word "steering" underlined in the last sentence most probably means _______.
A. forcing
B. guiding
C. watching
D. promising
55. We can infer from the text that the habit of having a sweet tooth is developed by _______.
A. often visiting fast food shops
B. parents’ not caring for children’s food
C. eating sweet and salty food
D. taking little exercise
第二节：阅读短文内容，从短文后的选项中选出能填入空白处的最佳选项。每小题只有一个最佳选项, 选项中有两项是多余选项。并在答题卡上将该项涂黑。
A punctual (守时的) person is in the habit of doing a thing at the proper time and is never late in keeping an appointment. The unpunctual man, on the other hand, never does what he has to do at the right time. 56 .
There’s a proverb which says, “Time flies never to be recalled.” This is true. 57 . The unpunctual man is for ever wasting his most precious possessions as well as others’. The unpunctual person is always complaining that he finds no time to answer letters, or return calls or keep appointments. 58 . He knows that he can get through his huge amount of work only if he faithfully keeps every appointment and deals with every piece of work when it has to be attended to.
59 . If a person is invited to dinner and arrives later than the appointed time, he keeps all the other guests waiting for him. Usually this will be regarded as rude both to the host and the other guests.
Unpunctuality, moreover, is ve ry harmful when it comes to one’s duty. Imagine how it would be if those who are put in charge of important tasks fail to be at their proper place at the appointed time. 60
A.They appear to be busy but never get well paid.
B.He is always in a hurry and ends up losing time.
C.Maybe nobody cares being kept waiting at a dinner party.
D. A lost thing may be found again, but lost time can never be regained.
E.But the man who really has a great deal to do is very careful of his time.
F. A man who is known to be habitually unpunctual is never trusted by others.
G.Failur e to be punctual in keeping one’s appointment is a sign of disrespect towards others.
第二卷（非选择题，共20分）
第一部分：短文填空（共10小题；每小题1分，满分10分）
阅读下面3段短文，根据横线上首字母或括号内的提示用正确的词填空。每空一词。请将完整的单词写在答题卡上的规定位置。
C Many villages in the west of Europe are fighting to survive. There are a number of reasons for this. Firstly, young people move to crowded and big cities to find work, 68 (hope) to live somewhere livelier and do not return. S 69 , farmers find it more and more difficult to make money from their farms. With large factories built in or near a town, farmers sell their land and find work there. What’s worse, the prices of houses have r 70 quickly in the recent years because city-dwellers (城市居民) have bought another house in the village, where they just come for weekends.
第二部分：短文改错（共10小题；每小题1分，满分10分），请将答案写在答题卡上的规定位置。
此题要求改正所给短文中的错误。对标有题号的每一行做出判断：如无错误，在该行右边横线上画一个勾(√)；如有错误（每行只有一个错误），则按下列情况改正：
1. 该行多一个词：把多余的词用斜线(＼)划掉，在该行右边横线上写出该词，并也用
斜线划掉。
2. 该行缺一个词：在缺词处加一个漏字符号(^)，在该行右边的横线上写出该加的词。
3. 该行错一个词：在错的词下划一横线，在该行右边横线上写出正确的词。
注意：原行没有错的不用改。
Dear Mike,
I’m glad to know that you had an interest in Chinese food. 71. _________
Here I’d like to tell you something about them.72. _________ Chinese food is famous with its wide variety (种类). The food 73. _________
in one area can easily told from that in another. For example, 74. _________ Shanghai food, a little bit sweetly, is different from Sichuan food 75. _________
what is rather hot. However, every kind of Chinese food is worth 76. _________ trying, because each has a delicious taste and is good for the health. 77. _________
The restaurant in China usually serves special dishes of different 78. _________ areas, but you can enjoy various Chinese food no matter where you are. 79. _________
How about come to China this summer holiday? I will tell you more 80. _________
about Chinese food at table.
Best wishes.
Yours,
Wang Ming
成都七中2012年外地生招生考试
参考答案
第一卷（选择题，共80分）
第一部分：英语知识运用（共两节，满分40分）
第一节：单项填空（共20小题；每小题1分，满分20分）
1-5 CCABD 6-10 DDABC 11-15 DACCC 16-20 BBDCA
第二节：完形填空（共20小题，每小题1分，满分20分）
21-25 ADBAC 26-30 DCCBD 31-35 ABCBC 36-40 CBCDB
第二部分：阅读理解（共20小题；每小题2分，满分40分）
41-43 CBA 44-47 DBBC 48-51 DABC 52-55 BDBB 56-60 BDEGF
第二卷（非选择题，共20分）
第一部分：短文填空（共10小题；每小题1分，满分10分）
61. successfully 62. including 63. experience
64. valuable 65. southern 66. pressure
67. continue 68. hoping 69. Secondly 70. risen
第二部分：短文改错（共10小题；每小题1分，满分10分）
71. had改为have 72. them改为it 73. with改为for
74. easily后加be 75. sweetly改为sweet 76. what改为that / which 77. 去掉the 78. √79. but改为so 80. come改为coming
成都七中2017年外地生自主招生考试英语试卷本试卷共两卷,第一卷和第二卷。第一卷的答案请涂在答题卡上, 第二卷的答案请写在答题卡上的规定位置。在试卷上答题无效。试卷总分为100 分, 考试时间为100 分钟。 第一卷（选择题，共80 分） 第一部分：英语知识运用（共两节，满分40 分） 第一节：单项填空（共20 小题；每小题 1 分，满分20 分）从A,B,C,D 四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。 1. After an hour’s work, she looked at ______clean and tidy room with ______satisfaction． A.不填；a B. a; the C. the; 不填 D. the; a 2. —Hi, honey, which one of the i-phones do you want? —______ Either one will do． A. I don’t mind. B. With pleasure. C. No problem. D. Go ahead. 3. Jim is really good at taking notes. He can ______ almost every word the teachers say in class． A. put out B. put down C. put away D. put off 4. Life is like walking in the snow, ______ every step shows. A. because B. when C. although D. unless 5. Kejie, a top Go player, was beaten by AlphaGo in the game which ______ on May 23 in Zhejiang province. A. has been held B. was holding C. was held D. held 6. Donald Trump’s decision of ______ the US out of the Paris Climate Change Agreement has caused a great concern around the world. A. pulled B. pulling C. pull D. to pull 7. The dictionary is ______, missing many new words. A. out of control B. out of reach C. out of sight D. out of date 8. In many ways, the education system in the UK is very different from ______ in China. A. one B. this C. that D. it 9. My friend is honest , warm-hearted and always ready to help. ______, I can depend on him. A. On the other hand B. In short C. By the way D. Or else 10. Someyouths, ______ arewell-educated, choose to starttheir business after college. A. whom B. where C. who D. which 11. ―A ______ of life and death‖ refers to a situation that is very important or serious. A. match B. cause C. tradition D. matter 12. —Jack, let’s go skating this afternoon! —Don’t you think the ice on the lake is too thin tobear your weight? Which of the following has the closest meaning to the underlined word? A. lose B. support C. catch D. become 13. When you board a train, ship, or aircraft, you ______ it in order to travel somewhere.
成都七中2016年外地生招生考试 物理试题 考试时间：100分钟满分：100分 说明：1．答卷前，考生务必将自己的姓名、考号、考试科目用铅笔填写在答题卡上，每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦 干净后，选涂其它答案，不能答在试卷上 2．请将非选择题答案写在答题卡规定的地方 一、不定项选择题（每小题至少有一个选项符合题意，每小题4分，共64分，选对不全得2分） 1．2016年5月23日中午时分，四川省成都市，巨大的日晕包裹着太阳，现身城市上空，吸引了众多市民观看拍摄，专家表示，这种现象是因为高空的水蒸气遇冷形成小冰晶，太阳光照射小冰晶后，分解成不同颜色的光，这样太阳周围就出现一个巨大的彩色光环，称为“日晕”。下列关于此现象的说法中正确的是（） A．水蒸气遇冷形成小冰晶是凝固现象，此过程要放热 B．水蒸气遇冷形成小冰晶是液化现象，此过程要吸热 C．太阳光照射小冰晶后分解为七色光是光的反射现象 D．太阳光照射小冰晶后分解为七色光是光的折射现象 2．乒乓球前进过程中由于不同的旋转方向会沿不同的径迹运动．七中乒乓球协会的同学用上旋、下旋与不旋三种不同的方法把乒乓球击出，径迹如图中1、2、3三条虚线所示．请你根据平时的观察与所学的物理知识判断图中哪一条是上旋球的径迹（） A．1 B．2 C．3 D．无法确定 3．教学中常用的投影仪的结构如图（a）所示，在水平放置的凸透镜的正上方有一与水平成45°角的平面镜，右边竖直放一屏幕．物体的光线经凸透镜和平面镜后，可在屏上成一清晰的像．图（b）是这一装置的示意图，A2B2是物AB的像．图中BO1=30厘米，O1O2=20厘米，O2O3=90厘米．下列说法不正确的是（）
成都七中2008年外地生招生考试物理试题 考试时间:100分钟满分100分 说明：1、本试卷分为第Ⅰ卷（选择题）第Ⅱ卷（非选择题）两部分，第Ⅰ卷1-5页，第Ⅱ卷6-7页。 2、答第Ⅰ卷前，考生务必将自己的姓名、考号、考试科目用铅笔填写在答题卡上， 第小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动,用橡 皮擦净后，选涂其它答案，不能答在试卷上。 3、将Ⅱ卷的答案写在试卷上规定的地方。 第Ⅰ卷 一、单项选择题（每小题只有一个选项符合题意，每题1.5分，共27分） 1、在我国古代学者沈括的著作《梦溪笔谈》中有如下记载：“若鸢飞空中，其影随鸢而移；或中间为空隙所束，则影与鸢遂相违，鸢东则影西，鸢西则影东。”意思是说：若鹞鹰在空中飞翔，它的影子随鹞鹰而动；如鹞鹰和影子中间被窗户孔隙所约束，影子与鹞鹰作相反方向移动，鹞鹰向东则影子向西移，鹞鹰向西则影子向东移。这描述的是光的（A） A、直线传播现象 B、折射现象 C、干涉现象 D、衍射现象 2、如图P是位于水平的粗糙桌面上的物体。用跨过定滑轮的轻绳将P与小盘相连，小盘内有砝码，小盘和砝码的总质量为m。在P运动的过程中，若不计空气阻力，则关于在水平方向受到的作用力与相应的施力物体，下列说法正确的是（B） A、拉力和摩擦力，施力物体是地球和桌面 B、拉力和摩擦力，施力物体是绳和桌面 C、重力mg和摩擦力，施力物体是地球和桌面 D、重力mg和摩擦力，施力物体是绳和桌面 3、16世纪末，伽得略用实验和推理，推翻了已在欧洲流行了近两千年的亚里士多德关于力和运动的理论，开启了物理学发展的新纪元。在以下说法中，与亚里士多德观点相反的是（D） A、四匹马拉的车比两匹马拉的车跑得快；这说明，物体受的力越大，速度就越大 B、一个运动的物体，如果不再受力了，它总会逐渐停下来；这说明，静止状态才是物体 长不受力时的“自然状态” C、两物体从同一高度自由下落，较重的物体下落较快 D、一个物体维持匀速直线运动，不需要力 4、在电源电压不变的情况下，为使正常工作的电热器在单位时间内产生的热量增加一倍，下列措施可行的是（B） A、剪去一半的电阻丝 B、并联一根相同的电阻丝 C、串联一根相同的电阻丝 D、使电热器两端的电压增大一倍 5、某一网络电路中的部分电路如图所示，已知I=3A，I1=2A，R1=10Ω，R2=5Ω，R3=30Ω，则下列结论正确的是（B） A、通过R3的电流为0.5A，方向从a→b B、通过R3的电流为0.5A，方向从b→a C、通过电流表的电流为0.5A，电流表“+”接线柱在右边 D、通过电流表的电流为1.5A，电流表“+”接线柱在左边
成都七中2015年外地生自主招生考试数学试题和答案 一、单项选择题（本大题共10小题，每题6分，共60分） 1、已知等腰△ABC 的面积为1，其中∠A=120°，则△ABC 内切圆的面积为 A. 18 B. 54 C. 9 D. 27 2如图所示，两对角线长分别为4和2的菱形围绕其中心旋转90?，可以围成一个四角星（其各边用实线标注），则该四角星的周长为 A. B. C. D. 3、已知1x =，则4242x x +=+ A.3 B.4 C. 4+ D. 8+ 4、某三棱锥的三视图如右图所示，则该三棱锥的最长棱长为 A. B. C. D.4 5、设x 、y 为实数，则代数式22 245425x xy y x y ++-+-的最小值是 A.-8 B.8 C.0 D.-10 6、已知6x y z w ≤≤≤≤，则方程18x y z w +++=的正整数解的个数为 A.5 B. 6 C.7 D.8 7、定义分子为1且分母为正整数的分数为单位分数，把1分拆成若干个不同的单位分数之和。如：1= 156 113211101901721561421301111216121++++++++++++n m ，其中m n ≤。设1x m ≤≤，1y n ≤≤，则21 x y x +++的最小值为 A. 232 B. 52 C. 87 D. 343 8、若一个两位数平方的末两位恰好等于其本身，则这样的两位数有（ ）个 A.2 B.3 C.4 D.5 9、设p 、q 为不相等的正整数，且关于x 的方程20x px q -+=和20x qx p -+=的根都是正整数，则p q -= A.1 B.2 C.3 D.4 10、在正方形ABCD 所在平面上的直线l 满足下列条件：正方形ABCD 的四个顶点到直线l 的距离只取两个值，其中的一个值是另一个值的3倍，这样的直线l 的条数为 A.4 B.8 C.12 D.16
成都七中2017年外地生招生考试 物理试题 考试时间：100分钟满分：100分 注意事项： 1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。 2.回答选择题时，选出每小题答案后，再用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在答题卡上，写在本试卷上无效。 3.考试结束后，将本试卷和答题卡一并交回。 一、单项选择题：本题共10小题，每小题3分，共30分。每小题给出的四个选项中，只有一项符合题目 要求。 1．以下说法中正确的是（） A．某同学走路上学的速度大约25m/s B．光在水中传播的速度大约25m/s C．高速路上汽车行驶的速度大约25m/s D．高空中飞机飞行的速度大约25m/s 2．以下现象中属于凝固现象的是（） A．水结成冰 B．洒在地面上的水逐渐变干 C．水蒸气凝结成水 D．卫生球日久变小 3．如图所示，用吸管吸饮料，让饮料进入口中的力是（） A．玻璃杯的重力 B．饮料对吸管的浮力 C．手握玻璃杯的力 D．大气压力 4．一个小石块，从空中的某一高度，由静止开始下落。若不计空气阻力，从开始下落到刚到达地面的过程 随着时间t的变化图像可能是（） 中，小石块的重力势能E P
5．如图所示，A在水面上方，B在水面下方。AC、BD垂直于水面，垂足分别为C和D。AB连线与水面交于 E点。若从A处射出一束激光，要使激光能照射到B点，则射出的 激光在水面上的入射位置是（） A．E点 B．D点 C．D与E之间的某一点 D．C与E之间的某一点 6．如图所示，金属块A通过轻绳系于木块C的下方，静止在水中；金属块B平放在木块D的上表面，静止在水面上。已知长方体木块C和D密度、体积、形状均完全相同，密度是水密度的一半，它们的上表面均正好与水面相平；金属块A和B的体积、形状完全相同，它们各 自的体积是单个木块体积的一半。则A、B的密度之比为（） A．3：1 B．2：1 C．6：1 D．4：1 7．如图所示，一块长3cm、宽4cm的质量不计的矩形薄板ABCD可绕过A点的固定轴在纸面内无摩擦地自由转动。现过B点沿CB方向对板施加T=9N的拉力作用。为使板保持静止，需要在板上的某一处施加另一个在纸面内的拉力F（未画出）,其大小由F的作用位置和方向决定。 在所有可能情况中，F的最小值为（） A．4.5N B．7.5N C．7.2N D．9.0N 8．如图所示，圆心为O的光滑半圆面放置于水平桌面上。圆面上静止放置 一条匀质、柔软、不可伸长的细棉线。棉线的两端A、B恰好与桌面不接 触。棉线的最高点为C点。D点为线段OC的中点。则棉线的重心位置为 （） A．C与D之间的某一点 B．D点 C．O点 D．D与O之间的某一点 9．如图所示，重力G=700N的水平木板在滑轮组的作用下保持静止。三个滑轮 等大、光滑，质量均忽略不计。所有细绳的重力均不计，与天花板间的固定 点分别叫做A、B、C，与木板间的固定点分别叫做D、E；各条细绳中不与滑 轮接触的部分均竖直。则B点处的细绳对天花板的拉力大小为（）
成都七中2017年招收外地生考试 英语试卷 本试卷共两卷。第一卷和第二卷。第一卷的答案请涂在答题卡上，第二卷的答案请写 在答题卡上的规定位置。在试卷上答题无效。试卷总分为100分，考试时间为100分钟。 第一卷（选择题，共80分） 第一部分：英语知识运用（共两节，满分40分） 第一节：单项填空（共20小题；每小题1分，满分20分） 从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂 黑。 1、After an hour’s work, she looked at clean and tidy room with satisfaction. A、不填；a B、a；the C、the；不填 D、the；a 2、--Hi, honey, which one of the i-phones do you want? -- Either one will do. A、I don’t mind. B、With pleasure. C、No problem. D、Go ahead. 3、Jim is really good at taking notes. He can almost every word the teachers say in class. A、put out B、put down C、put away D、put off 4、Life is like walking in the snow, every step shows. A、because B、when C、although D、unless 5、Kejie, a top Go player, was beaten by AlphaGo in the game which on May 23 in Zhejiang province. A、has been held B、was holding C、was held D、held 6、Donald Trump’s decision of the US out of the Paris Climate Change Agreement has caused a great concern around the world. A、pulled B、pulling C、pull D、to pull 7、The dictionary is , missing many new words. A、out of control B、out of reach C、out of sight D、out of date 8、In many ways, the education system in the UK is very different from in China. A、one B、this C、that D、it 9、My friend is honest, warm-hearted and always ready to help. ,I can depend on him. A、On the other hand B、In short C、By the way D、Or else 10、Some youths, are well-educated, choose to start their business after college. A、whom B、where C、who D、which 11、“A of life and death”refers to a situation that is very important or serious. A、match B、cause C、tradition D、matter 12、--Jack, let’s go skating this afternoon! --Don’t you think the ice on the lake is too thin to bear your weight? Which of the following has the closest meaning to the underlined word? A、lose B、support C、catch D、become
成都七中2009年外地生招生考试 物理试题 考试时间100分钟满分100分 一，单项选择题（每小题只有一个选项符合题意，每小题2分，共28分） 1.安全用电的常识之一就是不要靠近高压电，但是两爪站在高压线上的鸟却不会发生触电事故，这是因为（D） A.鸟爪上的角质层不导电 B.鸟爪很干燥 C.电线上有绝缘层 D.鸟的两爪间的电压很低 2.秋高气爽的夜里，当我仰望天空时会觉得星光闪烁不定，这主要是因为（D） A.星星在运动 B.地球在绕太阳公转 C.地球在自转 D.大气的密度分布不稳定，星光经过大气层时，折射光的方向随大气密度的变化而变化 3.如右图所示，物体在平衡力F1和F2的共同作用下，以速度v沿F1方向做匀速直线运动．如果将这对平衡力等量缓慢地减小，最后减小到零，则该物体将（A） A.一直继续以速度v沿F l方向运动 B.物体的运动速度将越来越小，最后变为零 C.物体的运动速度将缓慢地减小，最后以小于v的速度做匀速运动 D.物体有可能沿反方向做匀速直线运动 4.一家中外合资工厂要制造一种特殊用途的钢铝罐，钢罐内表面要压接一层0.25mm厚的铝膜，一时难倒了焊接专家和锻压专家．后经中外科学家联合攻关解决了这一难题．他们先把薄薄的铝片装到钢罐内表面相贴，再往钢罐内灌满水，水中插入冷冻管使水结冰，冷冻后铝膜就与钢罐接触牢了．这里使铝膜与钢罐接牢的原因是（C） A.铝膜与销罐之间的水把它们冻牢了 B.水结冰时放出的热量把它们焊牢了 C.水结冰时膨胀产生的巨大压力把它们压牢了 D.水结冰时铝膜和钢罐间的冰把它们粘牢了 5.如图所示，棒AB的B端支在地上，另一端A受水平力F作用，棒处 于平衡状态，则地面对棒B端作用力的方向为（B） A.总是偏向棒的左边，如F1 B.总是偏向棒的右边，如F3 C.总是沿棒的方向如F2 D.总是垂直于地面向上如F4 6.李军在检修一只1000瓦的电炉时，发现电炉丝断了一小截，他用一段较细一些但由同种材料制成的电炉丝将残缺部分补接至原长，这样再接入原电路中使用时，其实际发热功率将（C）A.大于1000瓦 B.等于1000瓦 D.小于1000瓦 D.无法判断。 7．有两块平面镜垂直放置着，如右图所示，镜前有一个物体s，再两镜前 面从不同的位置观察，在两平面镜中可以看到该物体的像的个数是（C） A.1个 B.2个 C.3个 D.4个 8.某人在站台上候车，看见远处一辆机车沿平直的铁路以速度v匀行驶过来，这时该车发出短促的一声鸣号，经过时间t传到站台，若空气中声速为v0，则听到鸣号后机车抵达站台还需要的时间至少是（C） A．v0t／v B.（v0＋v）t/v C.（v0－v）t／v D．vt/v0
注意事项: 1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上； 2.回答选择题时，选出每小题答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑；如需改动，用橡皮擦擦干净后，再选涂其它答案标号. 答非选择题时，将答案写在答题卡上，写在本试卷上无效. 3.考试结束后，将本试卷和答题卡一并交回. 一、选择题(每小题只有一个正确答案，每小题5分，共60分) 1.若M x xy y x y =-+--+2 2 512106413(、x y 为实数)，则M 的值一定为( ▲ ) A .非负数 B .负数 C .正数 D .零 【答案】A 【解析】配方：M ＝(2x －3y )2＋(x －3)2＋(y －2)2≥0，当x ＝3，y ＝2取等. 2.将一个棱长为m (m >2且m 为正整数)的正方体木块的表面染上红色，然后切成m 3 个棱长为1的小正方体，发现只有一个表面染有红色的小正方体的数量是恰有两个表面染有红色的小正方体的数量的12倍，则m 等于( ▲ ) A .16 B .18 C .26 D .32 【答案】C 【解析】由已知可得6(m －2)2＝12×12(m －2)，∴m ＝26. 3.已知a a b b -+=-+=2 2 610070,710060，且ab ≠1，则 a b 的值为( ▲ ) A .503 B .67 C .1007 D . 76 【答案】D 【解析】显然由方程7b 2 -100b +6=0,可得???? ? ?-+=????b b 610070112 ， ∴a ，b 1 是方程6x 2－100x ＋7＝0的两根，∴ =b a 6 7. (时间120分钟，满分150分) 成都七中2019年外地生自主招生考试数学
2017成都七中外地生自主招生考试物理测试题 考试时间：100分钟满分：100分 注意事项: 1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。 2．回答选择题时，选出每小题答案后，再用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在答题卡上，写在本试卷上无效。 3．考试结束后，将本试卷和答题卡一并交回， 一、单项选择题：本题共10小题，每小题3分，共30分。每小题给出的四个选项中，只有一项符合题目要求 1. 以下说法中正确的是（） A. 某同学走路上学的速度大约25m/s B．光在水中使播的速度大约25m/s C．高速路上汽车行映的速度大约25m/s D．高空中飞机飞行的速度大约25m/s 2. 以下现象中属于凝固现象的是（） A．水结成冰 B. 洒在地面上的水逐渐变干 C. 水蒸气凝结成冰 D. 卫生球日久变小 3．如图所示，用吸管吸饮料，让饮料进入口中的力是（） A. 玻璃杯的重力 B．饮料对吸管的浮力 C．手握玻璃杯的力 D．大气压力 4．一个小石块，从空中的某一高度，由静止开始下落，若不计空气阻力，从开始下落到刚到达地面的过程中，小石块的重力势能E随着时间t的变化图像可能是（）
5．如图所示，A在水面上方，B在水面下方，AC、BD垂直于水面，垂足分别是C和D，AB 连线与水面相交与E点，若从A处射出一束激光，要使激光能够照射到B点，则射出的激光 在水面上的入射位置是（） A.E点 B．D点 C. D与E之间的某一个点 D．C与E之间的某一个点 6．如图所示，金属块A通过轻绳系于木块C的下方，静止在水中；金属块B平放在木块D 的上表面，静止在水面上。已知长方体木块C和D密度、体积、形状均完全相同，密度是水密度的一半，它们的上表面均正好与水面相平；金属块 A和B的体积、形状完全相同，它们各自的体积是单个 木块体积的一半，则A、B的密度之比为（） A.3:1 B.2:1 C.6:1 D.4:1 7．如图所示，一块长3cm、宽4cm的质量不计的矩形薄板ABCD可绕过A点的固定轴在纸面内无摩擦地自由转动，现过B点沿CB方向对板施加T=9N的拉力作用，为使板保持静止，需要在板上的某一处施加另一个在纸面内的拉力F （未画出），其大小由F的作用位置和方向决定，在 所有可能情况中，F的最小值为（） A.4.5N B.7.5N C.7.2N D.9.0N 8．如图所示，圆心为0的光滑半圆面放置于水平桌面上，圆面上静止放置一条匀质、柔软、 不可伸长的细棉线。棉线的两端A、B恰好与桌面不接 触。棉线的最高点为C点。D点为线段OC的中点。则 棉线的重心位置为（） A．C与D之间的某一点 B．D点 C．0点
成都七中外地生招生考试数学试题 考试时间：120分钟 满分：150分 一、填空题(1-6题每题5分，7-12题每题7分，13-18题每题8分，共120分) 1、若0732 =-+-b a ，则b a += . 难度：★ 原理：“非负数和为零，则各加数均为零” 答案：73± 2、设b a ≠，且43322=+=+b b a a ，则b a ab 2 2+= . 难度：★★ 原理：一元二次方程根与系数的关系 解析：由题意，b a 、为方程0432 =-+x x 的两相异实根，则.43-=-=+ab b a ， 进而得.12)3()4()(22=-?-=+=+a b ab b a ab 3、如图，在长方体1111D C B A ABCD -中，已知4=AB ， ，3=AD 21=AA ,则三棱锥DB A C 11的体积为 . 难度：★★★ 原理：棱锥的体积公式Sh V 3 1 = 方法：间接法 解析：观察图可得，三棱锥DB A C 11的体积为长方体1111D C B A ABCD -的体积减去4个三棱锥ABD A 1的体积.即8)2342 1 31(4234=???? ?-?? 4、将一质地均匀的正方体骰子掷一次，观察向上一面的点数，与点数4相差2的概率是 .难度：★ 原理：机会均等事件发生的概率 答案： 3 1 5、抛物线2 2 4,2bx y ax y -=-=与坐标轴恰好有4个交点，这4个交点组成的筝形面积为12，则b a += . 难度：★★ 原理：抛物线的轴对称性及筝形面积公式 解析：由题意作图.根据筝形面积为12，可得两抛物线 与横轴交点为(-2,0)和(2,0).联立两抛物线解析式得 2242bx ax -=-，即6)(2=+x b a .故.2 3 =+b a 6、设251-= x ，则33 1x x -= . 难度：★★ 原理：解析：由251-= x 得2511+-=x ，则125 12511=++-= -x x 故243)1()11)(1(12 2233 ==+-=++-=-x x x x x x x x D 1 C 1 A B A 1 B 1 D C
成都七中2013年外地生招生考试物理试题 说明：1.本试题分为第I卷（选择题）、第II卷（非选择题）两部分，第I卷1-3页，第II 卷4-6页。 2.答第I卷前，考生务必将自己的姓名、考号、考试科目用铅笔填写在答题卡上，每小题选出答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，选涂其他答案，不能答在试卷上。 3.请将II卷的答案写在答题卡规定的地方。 一、单项选择题（每小题只有一个选项符合题意，每小题2分，共24分） 1.冬天，医生检查牙齿时，常把小镜子放在酒精灯上适当烤一烤，然后再伸进口腔内。这样做的目的主要是（） A.防止接触口腔时病人感到太凉 B.进行消毒 C.镜面不会产生水雾，可以看清牙齿 D.防止镜框受热膨胀，致使镜片脱落 2.如图所示，在玻璃球内放入一个充气较多的气球，下列关于玻璃内气球的说法 中，正确的是（） A.通过胶管抽玻璃内的空气，气球的体积减小 B.通过胶管抽玻璃内的空气，气球的体积增大 C.通过胶管向玻璃内充气，气球的体积增大 D.通过胶管向玻璃内充气，气球的体积不变 3.在研究玩具电动机的能量转化实验前，用如图所示的电路检查电动机时，玩具电 动机用一节干电池供电，闭合开关S后，发现电动机转速很慢，经检测，电动机性 能完好，用电压表测得a、b间的电压为0.6V；断开开关S，测得a、b间的电压接 近1.5V，对于此现象，下列判断中正确的是（） A.开关S接触不良 B.电池太久，内阻过大 C.电动机两端接线短路 D.电动机两端的接线中有一根已经断开 4.如图所示，平面OM与ON的夹角，一条平行于平面镜ON的光线经过两个平 面镜的多次反射后，能够沿着原来的光路返回，则两平面镜之间的夹角不可能是 （） A.20 B.15 C.10 D.5 5.在一小孩掉进河里后抱住了一根圆木随水向下漂流，有三条船A、B、C在正对河岸P点的地方同时与圆木相遇，但三条船上的船员都没有注意到圆木上的小孩。A、B两船逆水上行，C船顺水下行。相对水的速度，B船是A船的1.2倍，C船是B船的1.2倍。当三条船离开P点行驶30分钟的时候，船员从收音机里听到圆木上有小孩需要求救的消息，三条船都立即调转船头，驶向圆木，假设调转方向的时间不计，在离P点6千米的地方，小孩被船员救起，则三条船到达小孩和圆木的先后次序是（） A.船A先到达 B.船B先到达 C.船C先到达 D.三条船同时到达 6.如图所示，当滑线变阻器的滑动触头向b端移动时（） A.电压表○V的读数增大，电流表○A的读数减小 B.电压表○V和电流表○A的读数减小 C.电压表○V和电流表○A的读数增大 D.电压表○V的读数减小，电流表○A的读数增大
成都七中 2018 年外地生招生考试数学 （考试时间：120 分钟 总分：150 分） 一、选择题（每小题只有一个正确答案，每小题 5 分，共 5 分） 1、满足|a-b|=|a|+|b| 成立的条件是（） A 、ab>0 B 、ab<0 C 、ab≤0 D 、ab≤1 2、已知 a 、b 、c 为正数，若关于 x 的一元二次方程ax 2+bx+c=0有 两个实数根，则关于 x 的方程 a 2x 2+ b 2x+ c 2=0解的情况为（） A 、有两个不相等的正根 B 、有一个正根，一个负根 C 、有两个不相等的负根 D 、不一定有实数根 3、已知数据 的平均数为 a ， 的平均数为 b ，则数据 的平均数为（） A 、2a+3b B 、 3 2 a+b C 、4a+9b D 、2a+b 4、若函数y=2 1 (x 2-100x+196+|x 2-100x+196|) ，则当自变量 x 取 1、2、3……100 这 100 个自然数时，函 数值的和是（ ） A 、540 B 、390 C 、194 D 、97 5、已知(m 2+1)(n 2+1)=3(2mn-1) ，则n( m 1 -m)的值为（ ） A 、0 B 、1 C 、-2 D 、-1 6、如果存在三个实数 m 、p 、q ，满足 m+p+q=18，且 p +m 1+q p 1++q +m 1=97 ，则q p +m +q m +p +p m +q 的值是（ ） A 、8 B 、9 C 、10 D 、11 7、已知如图，△ABC 中，AB=m ，AC=n ，以 BC 为边向外作正方形 BCDE ，连结 EA ，则 EA 的最大 值为（ ） A 、2m+n B 、m+2n C 、3m+n D 、m+3n 8、设 A 、B 、C 、D 为平面上任意四点，如果其中任意三点不在同一直线上，则△ABC 、△ABD 、△ACD 、 △BCD 中至 少存在一个三角形的某个内角满足（ ） A 、不超过 15° B 、不超过 30° C 、不超过 45° D 、以上都不对 9、将抛物线T:Y=X2-2X+4绕坐标原点 O 顺时针旋转 30°得到抛物线T’，过点A （33,-3）、B(3,33) 的直线l 与抛物线T’相交于点 P 、Q 。则△OPQ 的面积为（ ） A 、8 B 、9 C 、10 D 、11 10、如图，锐角△ABC 的三条高线 AD 、BE 、CF 相交于点 H ，连结 DE 、EF 、DF 则图中的三角形个 数有（ ） A 、40 B 、45 C 、47 D 、63 二、填空题 11、将一个各面都涂油漆的正方形切割成 125 个同样大小的小正方体，那么仅有 2 面涂油漆的小正方体 共有 个。 12、已知x≠y ，且x 2=2y+5,y 2=2x+5 ，则x 3-2x 2y 2+y 3= 。 13、如图，多边形 ABDEC 是由边长为 m 的等边△ABC 和正方形 BDEC 组成，☉O 过 A 、D 、E 三 点，则∠ACO= 。 14、已知实数 a 、b 、c 满足a≠b ，且2(a-b)+2(b-c)+(c+a)=0，则) )(() )(b -c b a b a a c ---（= 。 15、将小王与小孙现在的年龄按从左至右的顺序排列得到一个四位数，这个数为完全平方数，再过 31 年， 将他们的年龄按同样方式排列，又得到一个四位数，这个数仍然为完全平方数，则小王现在的年龄是 岁。 16、设合数 k 满足，1 2015年成都七中外地生自主招生考试数学试题及解析 一、选择题（6×10=60分） 1. 已知等腰△ABC 的面积为1，∠A=120，则△ABC 内切圆的面积为（ ） A. 3 18π B. 3 54π C. 3 9π D. 3 27π 解：过A 作底边的垂线，垂足为D ，连接圆心O 与AB 边的切点E ，连接BO 设圆半径为r Rt △ABD 中，∠B=30°，S △ ABD =(1/2)AD.BD =(1/2)AD. 3A D=1/2，∴AD 2 =1/ 3 在Rt △AEO 中，∠EAO=60°，∴sin60°=EO/AO= 3/2，即 r/(AD-r)= 3/2，∴r= 3AD /(2+ 3) ∴S ○O =πr 2 = 3π7+4 3 = (7?4 3) 3π49?16×3 = 7 3?12 π 此题四个选项都不正确。 2. 如图所示，两条对角线长为4和2的菱形绕中心旋转90°，可围成一个四角形（各边用实线标注），则该四角形的周长是____。 解：作如图所示的辅助线（红色） ∵对角线长为2倍关系，∴E 、F 分别为AD 、BD 的中点， ∴EF 为△ABD 的中位线，∴EF=AB/2，△EFC ∽△BAC,∴FC=AC/2 在Rt △ADF 中，(AC+CF)2=AD 2+DF 2，即(AC+AC/2)2=22+12 解得AC = 2 53 ，∴周长=8AC= 16 53 3.已知x = 3+1，x 4+4 x 2+2x +2 = 解：∵x = 3+1 ∴x 2=2x +2 ∴x 2+2x +2=2x 2 x 4+4=x 22 +4=(2x +2)2+4=4 x 2+2x +2 =4 x 2+x 2 =8x 2 ∴原式= 8x 2 2x 2 =4 4、某三棱锥的三视图如右图所示，则该三棱锥的最长棱长为 此题看不清原图，加之本人也未能完全参透，故未做。 5. 设x,y 为实数，则代数式2x 2+4xy+5y 2 -4x+2y-5的最小值是____ 解：原式=2x 2+4xy+5y 2-4x+2y-5=x 2+4xy+4y 2+x 2-4x+y 2 +2y-5 =(x+2y)2+ x 2-4x+4+y 2+2y+1-5-4-1=(x+2y)2+(x-2)2+(y+1)2 -10， 恰好有解x=2,y=-1使得前三项都取得最小值0,故最小值为-10 8 5 3 成都七中 2015 年外地生招生考试 数学试题 考试时间：120 分钟 满分：150 分 注意：请将答案涂写在答题卡上，本试卷作答无效。 一、单项选择题（本大题共 10 小题，每题 6 分，共 60 分） 1、已知等腰△ABC 的面积为 1，其中∠A=120°，则△ABC 内切圆的面积为 A. 3 3 3 3 π B. π C. π D. π 18 5 4 9 27 2 如图所示，两对角线长分别为 4 和 2 的菱形围绕其中心旋转 90?，可以围成一个四角 星（其各边用实线标注），则该四角星的周长为 A. 16 5 16 3 8 3 B. C. D. 3 3 3 3、已知 x = 3 + 1 ，则 x x 4 + 4 2 + 2 x + 2 = A.3 B.4 C. 4 + 2 3 D. 8 + 4 3 4、某三棱锥的三视图如右图所示，则该三棱锥的最长棱长为 A. 5 B. 2 2 C. 2 3 D.4 5、设 x 、 y 为实数，则代数式 2 x 2 + 4 x y + 5 y 2 - 4 x + 2 y - 5 的最小值是 A.-8 B.8 C.0 D .-10 6、已知 x ≤ y ≤ z ≤ w ≤ 6 ，则方程 x + y + z + w = 18 的正整数解的个数为 A.5 B. 6 C.7 D.8 7、定义分子为 1 且分母为正整数的分数为单位分数，把 1 分拆成若干个不同的单位分数之和。如： 1= 1 1 1 1 1 1 1 1 1 1 1 1 1 + + + + + + + + + + + + 2 6 12 m n 30 42 56 72 90 110 132 156 ，其中 m ≤ n 。设 1 ≤ x ≤ m ，1 ≤ y ≤ n ，则 x + y + 2 x + 1 的最小值为 23 5 8 34 A. B. C. D. 2 2 7 3 8、若一个两位数平方的末两位恰好等于其本身，则这样的两位数有（ ）个 A.2 B.3 C.4 D.5 9、设 p 、q 为不相等的正整数，且关于x 的方程 x 2 - px + q = 0 和 x 2 - qx + p = 0 的根 都是正整数，则 p - q = A.1 B.2 C.3 D.4 10、在正方形 ABCD 所在平面上的直线 l 满足下列条件：正方形 ABCD 的四个顶点到直线 l 的距离 成都七中2018年外地生招生考试数学 (考试时间：120 分钟 总分：150 分) 一、选择题(每小题只有一个正确答案，每小题 5 分，共 5 分) 1．满足|a －b |＝|a |＋|b |成立的条件是( C ) A ．ab ＞0 B ．ab ＜0 C ．ab ≤0 D ．ab ≤1 分析：根据条件分析a 与b 的关系，进而求出正确答案． 解：当a ，b 异号或其中的一个为0时，|a －b |＝|a |＋|b |成立， 即当ab ≤0时，|a －b |＝|a |＋|b |成立． 2．已知a ，b ，c 为正数，若关于x 的一元二次方程ax 2＋bx ＋c ＝0有两个实数根，则关于x 的方程a 2x 2＋b 2x ＋c 2 ＝0解的情况为( C ) A ．有两个不相等的正根 B ．有一个正根，一个负根 C ．有两个不相等的负根 D ．不一定有实数根 分析：由方程ax 2＋bx ＋c ＝0有两个实数根可得出b 2－4ac ≥0，结合a ，b ，c 为正数可得出△＝b 4－4a 2c 2＞0，进而可得出关于x 的方程a 2x 2＋b 2x ＋c 2＝0有两个不相等的实数根，由根与系数的关系可得出该方程的两根之和为负、两根之积为正，进而可得出关于x 的方程a 2x 2＋b 2x ＋c 2＝0有两个不相等的负根． 解：∵关于x 的一元二次方程ax 2＋bx ＋c ＝0有两个实数根， ∴△＝b 2－4ac ≥0． 又∵a ，b ，c 为正数， ∴b 2－4ac ＋2ac ＝b 2－2ac ＞0，b 2＋2ac ＞0． ∵方程a 2x 2＋b 2x ＋c 2＝0的根的判别式△＝b 4－4a 2c 2＝(b 2＋2ac )(b 2－2ac )＞0， ∴该方程有两个不相等的实数根． 设关于x 的方程a 2x 2＋b 2x ＋c 2＝0的两个实数根为x 1，x 2， 则x 1＋x 2＝－b 2a 2＜0，x 1x 2＝c 2 a 2＞0， ∴关于x 的方程a 2x 2＋b 2x ＋c 2＝0有两个不相等的负根． 3．已知数据x 1，x 2，x 3的平均数为a ，y 1，y 2，y 3的平均数为b ，则数据2x 1＋3y 1，2x 2＋3y 2，2x 3＋3y 3的平均数为( A ) A ．2a ＋3b B ．2 3 a ＋b C ．4a ＋9b D ．2a ＋b 分析：把2x 1＋3y 1、2x 2＋3y 2、2x 3＋3y 3的平均数的式子用a 和b 表示出来即可． 解：∵x 1，x 2，x 3的平均数为a ，y 1，y 2，y 3的平均数为b ∴(2x 1＋3y 1＋2x 2＋3y 2＋2x 3＋3y 3)÷3＝[2(x 1＋x 2＋x 3)＋3(y 1＋y 2＋y 3)]÷3＝[2×3a ＋3×3b ])÷3＝2a ＋3b ． 4．若函数y ＝1 2(x 2－100x ＋196＋|x 2－100x ＋196|)，则当自变量x 取1，2，3，…，100这100个自然数时，函数 值的和是( B ) A ．540 B ．390 C ．194 D ．97 分析：将x 2－100x ＋196分解为(x －2)(x －98)，然后可得当2≤x ≤98时函数值为0，再分别求出x ＝1，99，成都七中2015年外地生自主招生考试数学试题和详细解析
成都七中外地生招生考试数学试题(答案)
成都七中2018年外地生招生考试数学试题及解析(精)
相关主题
文本预览