2013年绵阳南山中学自主招生考试模拟试题

绵阳南山中学(实验学校)2013
年自主招生考试
数学模拟试题（一）
（考试时间120分钟 满分150分）
注意事项：
1． 答卷前，考生务必将自己的姓名、准考证号填写在试题卷和答题卡上.
2． 选择题每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑．如需改动，
用橡皮擦干净后，再选涂其他答案标号．答在试题卷上无效．
3． 非选择题的作答：用黑色墨水签字笔直接答在答题卡上对应的答题区域内． 4． 考生必须保持答题卡整洁．考试结束后，请将本试题卷和答题卡一并上交．
卷Ⅰ（选择题，共36分）
一、选择题（本大题共12小题，每小题3分，共36分．在每小题给出的四个选项中，只有
一个是符合题目要求的.） 1. －2的倒数是（ ）
A ．2
B ．－2
C ．1
2
D ．1
2
-
2. 下列运算正确的是（ ）
A.25=±5
B.43-27=1
C.18÷2=9
D.24·
32=6
3. 如图，有一块含有45°角的直角三角板的两个顶点放在直尺的对 边上.如果∠1＝20°，那么∠2的度数是（ ）
A ．30°
B .25°
C .20°
D .15°
4. 我国以2011年11月1日零时为标准记时点，进行了第六次全国人口普查，查得全国总人口约为1 370 000 000人，请将总人口用科学计数法表示为（ ） A.8
1.3710⨯ B. 9
1.3710⨯ C.10
1.3710⨯ D. 8
13.710⨯
5. 已知函数 y =
2
1
2-+x x ，则自变量x 的取值范围是（ ）
A.x ≠2 B .x ＞2 C.x ≥－
21 D.x ≥－2
1
且x ≠2 6. 在下列几何体中,主视图、左视图与俯视图都是相同的圆,该几何体是 （ ）
7. 对于非零的两个实数a 、b ，规定a
b b a 1
1-=
⊗，若1)1(1=+⊗x ，则x 的值为（ ） A ．23 B ．31 C ． 21 D ． 2
1-
8. 已知关于x 的一元二次方程(a －1)x 2
－2x+1=0有两个不相等的实数根,则a 的取值范围是( )
A.a<2 B,a>2 C.a<2且a ≠1 D.a<－2
9. 如图，在正五边形ABCDE 中，对角线AD ，AC 与EB 分别交于点M ，N .下列说法错误．．的是（ ） A ．四边形EDCN 是菱形 B ．四边形MNCD 是等腰梯形
C ．△AEM 与△CBN 相似
D ．△AEN 与△EDM 全等 10. 正方形ABCD 边长为1，
E 、
F 、
G 、
H 分别为边AB 、BC 、CD 、DA 上的点，且AE =BF =CG =DH ．设小正方形EFGH 的面积为y ，AE =x . 则y 关于x 的函数图象大致是（ ）
A ．
B ．
C ．
D ． 11. 如图，点O 是矩形ABCD 的中心，
E 是AB 上的点，沿CE 折叠后，点B 恰好与点O 重合，若BC =3，则折痕CE 的长为( )
A.2 3
B. 33
2 C.
3 D.6
12. 如图，O 是正方形ABCD 的对角线BD 上一点，⊙O 与边AB ，
BC 都相切，点E ，F 分别在边AD ，DC 上．现将△DEF 沿着EF 对折，折痕EF 与⊙O 相切，此时点D 恰好落在圆心O 处．若DE ＝2，则正方形ABCD 的边长是( ) A ．3
B ．4
C
．2
D
．
C D
G
学校：________________ 姓名：_______________ 班级：____________ 考号：_________ 线 封 密
A
B D
C
E
B
B
D
卷Ⅱ（非选择题，共114分）
二、填空题（本大题共6小题，每小题4分，共24分.把答案填在答题卡中的横线上）
13. 分解因式：22x y xy y -+=__________.
14. 如图，DE 是△ABC 的中位线，M 、N 分别是BD 、CE 的中点，MN=6，则BC=
15. 甲、乙两台机床生产同一种零件，并且每天产量相等，在6天中每天生产零件的次品数
依次是：甲：3、0、0、2、0、1、；乙：1、0、2、1、0、2．则甲、乙两台机床中性能较稳定的是 ．
16. 袋子中装有2个红球和4个白球，这些球的形状、大小、质地等完全相同，在看不到球
的条件下，随机从袋子中摸出1个球，则这个球是红球的概率是___________. 17. 长为1，宽为a 的矩形纸片（
12
1
<<a ），如图那样折一下，剪下一个边长等于矩形宽度的正方形（称为第一次操作）；再把剩下的矩形如图那样折一下，剪下一个边长等于此时矩形宽度的正方形（称
为第二次操作）；如此反复操作下去．若在第n 此操作后，剩下的矩形为正方形，则操作终止．当n =3时，a 的值为_______．
18. 如图，在Rt △ABC 中，∠C=90º，∠B AC 的角平分线AD 交BC 边于点D.以AB 边上一点O 为圆心，过A ，D 两点作⊙O ，则直线BC 与⊙O 的位置关系是___________;若⊙O 与AB 边的另一个交点为E ，AB=6，BD=32,则线段BD 、BE 与劣弧DE 所围成的图形面积是________________________.（结果保留根号和π）
三、解答题（本大题共7小题，满分共90分，解答过程写在答题卡上，解答应写出文字说明，证明过程或演算步骤）.
19.（本题共2个小题，每题8分，共16分） （1）计算：(
)
()0
2
33
sin 30380.125-+--+⨯-
（2）先化简，再求值：(x －1x －x －2x ＋1)÷2x 2－x
x 2＋2x ＋1
，其中x 满足x 2－x －1＝0．
20.（本题满分12分）根据第五次、第六次全国人口普查结果显示：某市常住人口总数由第五次的400万人增加到第六次的450万人，常住人口的学历状况统计图如下（部分信息未给出）：
10%
解答下列问题：
（1）求第六次人口普查小学学历的人数，并把条形统计图补充完整； （2）求第五次人口普查中，该市常住人口每万人中具有初中学历的人数； （3）第六次人口普查结果与第五次相比，每万人中初中学历人数增加了多少人？
21. （本题满分12分）我市水产养殖专业户王大爷承包了30亩水塘，分别养殖甲鱼和桂鱼．有关成本、销售额见下表：
第一次操作
第二次操作
(1) 2011年，王大爷养殖甲鱼20亩，桂鱼10亩．求王大爷这一年共收益多少万元？ （收益
＝销售额－成本）
(2) 2011年，王大爷继续用这30亩水塘全部养殖甲鱼和桂鱼，计划投入成本不超过70万
元．若每亩养殖的成本、销售额与2011年相同，要获得最大收益，他应养殖甲鱼和桂鱼各多少亩？
(3) 已知甲鱼每亩需要饲料500kg ，桂鱼每亩需要饲料700kg ．根据(2)中的养殖亩数，为了
节约运输成本，实际使用的运输车辆每载装载饲料的总量是原计划每次装载总量的2倍，结果运输养殖所需全部饲料比原计划减少了2次．求王大爷原定的运输车辆每次可装载饲料多少kg?
22.（本题满分12分）已知：如图1，O 为正方形ABCD 的中心，分别延长OA 到点F ，OD 到点E ，使OF ＝2OA ，OE ＝2OD ，连结EF ，将△FOE 绕点O 逆时针旋转α角得到△''F OE （如图2）.
（1） 探究AE ′与BF'的数量关系，并给予证明； （2） 当α＝30°时，求证：△AOE ′为直角三角形.
23.（本题满分12分）如图，一次函数y ＝kx ＋b 与反比例函
数y ＝
x
m
的图象交于A （2，3），B （－3，n ）两点． （1）求一次函数与反比例函数的解析式； （2）根据所给条件，请直接写出不等式kx ＋b ＞
x
m 的解集______________；
（3）过点B 作BC ⊥x 轴，垂足为C ，求S △ABC ．
24.（本题满分12分）如图，BD 为⊙O 的直径，AB =AC ，AD 交B C 于点E ，AE =2，ED =4，
(1)求证：△ABE ∽△ADB ； (2)求AB 的长；
(3)延长DB 到F ，使得BF =BO ，连接FA ，试判断直线FA 与⊙O 的位置关系，并说明理由．
25. 如图，抛物线2y ax bx c =++交x 轴于点(3,0)A -，点(1,0)B ,交y
C 是点A 关于点B 的对称点，点F 是线段BC 的中点，直线
l 过点F 且与y 轴平行．直线
y x m =-+过点C ，交y 轴于点D ．
（1）求抛物线的函数表达式；
（2）点K 为线段AB 上一动点，过点K 作x 轴的垂线与直线CD 交于点H ，与抛物线交于点G ,求线段HG 长度的最大值；
（3）在直线l 上取点M ，在抛物线上取点N ，使以点A ，C ，M ，N 为顶点的四边形是平行四边形，求点N 的坐标．
图① 备用图
绵阳南山中学(实验学校)2013年自主招生考试
英语模拟试题（一）
（考试时间120分钟满分150分）
注意事项：
1．答卷前，考生务必将自己的姓名、准考证号填写在试题卷和答题卡上.
2．选择题每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．答在试题卷上无效．
3．非选择题的作答：用黑色墨水签字笔直接答在答题卡上对应的答题区域内．
4．考生必须保持答题卡整洁．考试结束后，请将本试题卷和答题卡一并上交．
本测评卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分，第Ⅱ卷即答题卷。

满分150分。

考试时间100分钟。

此卷无听力测试。

第I卷选择题（1-55小题，共100分）
第一部分：英语知识运用(共两节，满分50)
第一节：单项填空（每题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。

1.—Your French is so good. How long have you been in France?
—_______ I was five.
A. Until
B. Since
C.When
D. Before
2. —Is this _____ pen?
—Let me see. Oh, it’s not _____. It’s Lily’s.
A. your; mine
B. you ; me
C. yours ; me
D. your ; my
3. —What was the date yesterday?
—_____.
A. It was Saturday
B. It was April 23rd
C. It was cloudy
D. It was sunny
4.It’s quit e warm in the room. Why not _____ your coat?
A. put on
B. putting on
C. take off
D. taking off 5.There used _____an old church here, but now we can see a park here.
A. to have
B. was
C. to be
D. had
6. This book _______ Lucy’s. Look! Her name is on the book cover.
A. must be
B. may be
C. can’t be
D. mustn’t be
7. Few of them have read English since they failed in the exam, _______?
A. have they
B. haven’t they
C. did they
D. didn’t they
8. A number of Americans _______coming to China. The number_________growing.
A. are, is
B. is, is
C. is, are
D. are, are
9.—Let`s go out to swim, ok?
—_______.
A. Why not?
B. Not at all.
C. Never mind.
D. No way.
10.We are proud of the great changes in Mianyang Nanshan Experimental High School. We are
sure it will be even _____ tomorrow.
A. good
B. better
C. best
D. well
11. Everyone _____ here. I think we can begin now.
A. is
B. are
C. be
D. may
12. There are about six _______ students in our school.
A. thousand
B. thousands
C. thousands of
D. thousand of
13. Neither the students nor the teacher _______ the solution to the problem.
A. know
B. knows
C. don’t know
D. doesn’t know
14. I think this work _____ in an hour.
A. can finish
B. can be finished
C. will finish
D. will be finishing
15. The teacher asked the students _____ .
A. if they were interested in English
B. when was Lucy born
C. what they will do with the computers
D. how many trees they have planted
16. —How many times_____________ America/the U.S.A. by the end of 2012?
—Three times.
A. had you been to
B. you had been
C. had you gone to
D. you had gone
17.—Must I finish my homework right now?
—No, you .
A. needn’t
B. may not
C. mustn’t
D. can’t
18. Why not an English club to practice English?
A. to join; to speak
B. join; speaking
C. join; to speak
D. to join; speaking
19. This kind of paper soft.
A. feels
B. is felt
C. is sounded
D.sounds
20. —I did worse in my Maths exam.
—.
A. Congratulations
B. That’s great
C. I’m sorry to hear that
D. Well done
第二节：完形填空（共15小题，每小题2分，满分30分）
阅读下面短文，从短文后各题所给的四个选项（A、Ｂ、Ｃ和Ｄ）中，选出可以填入空白处的最佳选项，并在答题卡上将该选项涂黑。

（A）
One day a poor man was traveling on horseback. At noon, he tied his horse to a tree and then __21_ to eat something. A few minutes later, a rich man came along and tied his horse to the same tree.
“Please tie your horse to another tree,” said the poor man. “My horse is wild. It will kill yours.”
But the rich man said, “I shall tie my horse as I like!” he tied up his horse and had his lunch nearby. After a moment they heard a terrible 22 , the two horses were fighting. They went up to them, but it was too 23 . The rich man’s horse was killed. “See what you horse has done!” cried t he rich man. “You will have to pay for it.” And he brought the poor man before Mr. Know.
Mr. Know asked the poor man some questions. But he made no answer. At last Mr. Know said, “This man is dumb. He cannot speak.”
“Oh,” the rich man shouted angrily. “He can! He spoke to me when I met him.”
“Are you sure?” asked Mr. Know. “What did he 24 ?”
“He told me not to tie my horse to the same tree because his horse was wild and would kill my horse.”
“Oh,” said Mr. Know. “So he warned you. Then can you expect to get money _ 25 him? ”
The rich man said nothing and left silently.
21. A. put down B. set down C. sat down D. turned down
22. A. song B. word C. bell D. noise
23. A. late B. slow C. hard D. quick
24. A. speak B. tell C. talk D. say
25. A. for B. from C. with D. about
B
Mr. Black loved his daughter Helen very much. Every day he spent all of his free time 26__ with her. One night, he had much work to do, 27_ _couldn't play with his daughter. In order to keep her 28 , he found a map of the world in a magazine and cut it into pieces. When he ___29 , Helen came running to him and was ready to play. Mr. Black said he had 30 time to play fight now. He told the girl to put the pieces of paper back together to a map of the world, and then they could both play.
About half an hour later, Helen came to her father and said, "Okay, it's finished. Can we play now? " Mr. Black was surprised saying, "That's 31 .Let's go and see." And sure enough, there was the picture of the world; all put together, every __32 in its place.
Mr. Black said, "That's surprising! 33 did you do that?" Helen said, "It was 34 . On
the back of the page was a picture of a 35__ .When I put the man together, the whole world fell into place. "
26. A. working B. running C. playing D. walking
27. A. or B. and C. but D. then
28. A. sleepy B. warm C. free D. busy
29. A. left home B. got home C. let the office D. got to the office
30. A. no B. enough C. much D. some
31. A. right B. wrong C. possible D. impossible
32. A. map B. picture C. piece D. page
33. A. How B. Why C. When D. Where
34. A. hard B. simple C. difficult D. different
35. A. boy B. girl C. man D. woman
第二部分：阅读理解（共25小题，每小题2分，满分50分）
第一节（共20小题；每小题2分，满分40分）
I.阅读下列短文，根据短文内容判断下列句子是否正确，正确的句子选择A；错误的句子选择B，并在答题卡上将该项涂黑。

A
If you go into the forests with friends, stay with them. If you don't, you may get lost. If you do get lost, this is what you should do.
Sit down and stay where you are. Don't try to find your friends. Let them find you. You can help them to find you by staying in one place.
There is another way to help your friends or other people to find you. Give them a signal（信号）by shouting or whistling（吹口哨）three times. Stop. Then shout or whistle three times again. Any signal given three times is a call for help. Keep on shouting or whistling, always three times together. When people hear you, they will give two shouts or two whistles. When a signal is given twice, it is an answer to a call for help. If you don't think that you will get help before night comes, try to make a small room with branches （树枝）.
What should you do if you get hungry or need to drink water? You would have to leave your little branch room to look for something to eat and drink. Don't just walk away. Drop small branches as you walk so that you can find your way back.
The most important thing to do when you are lost—stay in one place.
36. If you get lost in the forests, you should walk everywhere to find your friends as soon as
possible.
37. You can keep on shouting or whistling always three times together for help.
38. When you hear two shouts or whistles, you know that people will come to help you.
39. You can't go anywhere even when you feel thirsty or hungry.
40. You can find your way back to your branch room easily without leaving any branches as you walk.
II.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。

（B）
Accident Report Form(表格)
41. What time did Mrs. Green call the police?
A. At 9:30 a.m.
B. At 9:30 p.m.
C. At 9:40 p.m.
D. At 9:45 p.m.
42. Whose leg was hurt?
A. Mrs. Green’s.
B. Their daughter’s.
C. Mr. Green’s.
D. Their friend’s.
43. How many people were trapped in the car?
A. One.
B. Two.
C. Three.
D. Four.
C
Which day is the most important for you? Your birthday, the first day of your work or the day you win a prize. Many teenagers may think their birthday is the happiest time because they can receive many wonderful presents and have much fun with their friends. Others may regard the starting day of their work as the most meaningful. They think it's the first big step in their life and they can depend on themselves. They like to deal with challenges rather than to ask for the help of adults.
According to a survey, more than half of the Chinese people think ages and birthdays are especially important. One hundred days after a baby's birth has special meaning. On that day, relatives and friends come to bless the baby. In northern part of China, like Inner Mongolia, a child's 12th birthday is a big day. This is when a child becomes a teenager. Eighteen is another important age, which means you must be responsible for what you have done in laws.
As for adults, maybe the anniversary(周年庆) of their marriage is the most important. For some old people, the 60th or 70th birthday is also very important. They like to be cared about by all his family and friends, and the big family get-together can provide them a good chance to recall(回忆) the past.
44. Which is not regarded as the most important day for teenagers?
A. their first day of work
B. the day they win
C. their birthday days
D. the anniversary of marriage
45. Why Inner Mongolian think the age 12 is important?
A. Because it's the first big step in their life and they can depend on themselves.
B. Because it means a child becomes a teenager.
C. Because they can drive a car.
D. Because it means they must be responsible for what they have done in laws.
46. What's the meaning of the underlined word “bless” in paragraph 2?
A. 祝福
B. 送礼
C. 照顾
D. 认识
D
What do you like most when you can get one of such things: freedom, true friends, love, honesty and so on? Here are some choices of students:
Chen Cheng, 14, Jiangsu: I think I need a true friend. I had some friends before. However, it seemed that they didn't treat me well. I told them my secrets but they didn't share theirs with me. What's worse, they told my secrets to others, which made me very unhappy. I hope to find a true lifelong friend who can share happiness and sadness with me and keep my secrets.
Gan Xiaoning, 14, Heilongjiang: Freedom is what I want most. I am a bird in two cages（笼子）. In school, I have to follow the school's rules and listen to teachers. At home, my parents don't allow me to do what I like, either. I have to do everything that they tell me to do: study, study and study some more. So, freedom is the only thing I really want!
Yuan Siyu, 15, Guangxi: I am a boy from a poor family. My father works very hard but only makes a little money every month to support the family. I want to go to a key university so that I can find a good job in the future. Then, I can earn enough money to get my family out of
poverty(贫困) and offer my parents a happy life.
Qu Yi, 15, Hebei: I want a complete family. My parents got divorced three years ago. Since then, I have had no chance to be together with both of them any more. Now, I am living with my mom and get her love, but I also want my dad's love. I am envious of my classmates who live with their parents. So, I would have a complete family if I could.
47.What is not mentioned in the passage?
A. freedom
B. love
C. a true friend
D. hobby
48.Who is facing the problem of poverty and decides to fight?
A. Qu Yi
B. Chen Cheng
C. Gan Xiaoning
D. Yuan Siyu
49. As for Chen Cheng, she wants a friend____________.
A.who often tells lies to her
B. who only cares about her own happiness
C. who can play with her
D. who can share her feeling and keep secrets
50. Which of the following is true?
A. Qu Yi's father works very hard and makes much money to support his family.
B. Chen Cheng gets along very well with his friends
C. If Qu Yi's parents didn't get divorced, he would be much happier.
D. Gan Xiaoning says he is a bird because he wants to fly like a bird.
E
Hundreds of years ago, news was carried from place to place by people on foot or by horse. It took days, weeks and sometimes months for people to receive news. Now it is possible to send words and pictures around the world in seconds. Billions of people learn about news stories of their country and all over the world every day, either by watching TV or reading newspapers.
Newspapers have been an important part of everyday life since 18th century. Many countries have hundreds for different newspapers. How do newspaper editors decide which news stories to print？Why do they print some stories and not others? What makes a good newspaper story?
Firstly, it’s important to report new stories. TV stations can report news much faster than newspapers. Yet, newspapers give more about the story. They may also look at the story in another way, or they may print completely different stories to those on TV.
Secondly, a news story has to be interesting and unusual. People don’t want to read stories of everyday life. As a result, many stories are about some kind of danger and seem to be “bad” news. For example, newspapers never print stories about planes landing safely, instead ,they print stories about plane accidents.
Another factor(因素) is also very important in many news stories. Many people are interested in news in foreign countries, but more prefer to read stories about people, places and events in their own country. So the stories on the front page in Chinese newspapers are usually very different from the ones in British, French and American newspapers.
51. According to the passage, how do people learn about news stories in the world now?
A. They carry news stories and tell others from place to place on foot or by horse.
B. They tell each other what they have seen with their eyes.
C. They watch TV or read newspapers.
D. They listen to the radio every day.
52. Newspapers have been an important part of the daily life since .
A. 1800.
B. 1700.
C. 1900
D. 17th century
53. The difference between newspaper stories and TV news reports is that .
A. people can learn more about the same news story form a newspaper
B. people can read the news story more quickly in a newspaper
C. people can read news stories in other countries
D. people can read news stories about their own country
54. To make a good newspaper story, how many factors does the passage talk about? A. Two.
B. Three.
C. Five.
D. Six.
55. Which is NOT TRUE in the passage?
A. Newspapers may print different stories to those on TV.
B. People like to read interesting and unusual news like plane accidents.
C. Many Chinese people have no interest in news in their own countries.
D. Newspapers have been an important part of everyday life for more than three hundred years.
第二节：补全对话 （共5个小题，每小题2分，满分10分）
根据对话内容，从对话后的选项中选出能填入空白处的最佳选项，并将答案填写在本题下面的横线上。

选项中有两项多余选项。

A: __56__
B: Yes, please, I want to buy a pair of sports shoes. A: __57__
B: Size ten or eleven.
A: OK! What about this pair?
B: Sorry! I don't like black. Have you got any other colors? A: Other colors? __58__
B: Can I have a look at the brown ones? A: Yes, please. B: __59 ___ A: Forty-six yuan
B: ___60___ A: How about forty? B: No, it's still expensive. What about thirty?
A: Thirty? Er…all right. Please take it.
56._______ 57._______ 58._______ 59._______ 60._______
四川省绵阳南山中学实验校区2013年自主招生考试
英语试题
第Ⅱ卷（非选择题,共50分）
注意事项：
1．第Ⅱ卷共3页，用蓝色钢笔或圆珠笔直接答在试题卷上。

2．答卷前将密封线内的项目填写清楚。

第三部分：写（共三节，满分50分）
第一节：任务型阅读 （共5小题，每小题2分，满分10分）
阅读下面短文，然后根据短文内容补全文后表格中所缺失的信息, 每空不超过四个词。

The 2012 London Olympic Games are around the corner. If you have the chance to visit Britain yourself, you can see at every bus stop the British people form a queue. You may have read
about it, but you will still feel amazed to see it with your own eyes.
It’s an amazing social behavior; it brings the British to a higher level of civilization(文明). At least that is what one German professor thinks. The professor named Joseph Heinrich and his workmates say that standing in line is the “highest form of cooperative(协作的) group behavior”.
The social rules of standing in line are also interesting. For example, you need to be able to decide the correct distance to the person in front of you. Get too close and there is a danger of entering other people’s personal space. This is a serious mistake and often makes other people angry. However, when you leave too much space, the next person is likely to ask: “Are you in the
queue?” This may sound polite but in fact it means: “Can’t you stand in
line properly?”
In no other countries can you see the one-man queue except in Britain. If a British person arrives at a bus stop and no one else is there, he will not simply wait. Instead, he stands at the head of the queue.
Tourists are often unfamiliar with local customs, and if they do not get in line behind the British person, he or she will tell them strictly: “This is a queue.”
Though it might seem that the British people take their queues too seriously, one thing is certain: queues can save lives. In dangerous situations, standing in line has prevented them from getting very frightened.
In the serious train accident in 1999, people who were hurt formed a queue as they escaped from their trains. One writer later wrote about a polite man who let her pass with a quiet “after you”.
第二节．综合填空。

（共10小题，每小题2分，满分20分）
阅读短文,从方框中选择适当的词并用其正确形式填空，使短文意思通顺、完整。

请将答案写在短文后相应题号的横线上。

每空限填一词，每词限用一次。

方框中有2个词是多余的。

The verb “chat” means to talk (to someone) in a friendly, informal (非正式的) way. Today there are many 66 on the Internet where you can chat. You can chat with people all over the world, in many languages and about many subjects. These places are___67___called “chat room”. Sometimes you need to register (注册) to enter a chat room. This means that you need to offer a usename (用户名) and possibly your e-mail 68 .Your usename doesn’t have to be your __69__ name. It can be any name you want. When you have your usename, other people in the chat room will call you by that name and __70___else can use it.
Chatting is a good way to _ 71 your informal English. Messages in a chat room are usually short sentences. Sometimes _72 _ are not even sentences _73 _ just a few words that are not really grammatically (语法) correct. It’s a typical way in which we _ 74___ in a quick conversation
with friends. To save time, people often use abbreviations (缩写形式) like TTYL (talk to you later) or IDK (I don’t know). So don’t go to a chat room to practice “perfect English”. Go to a chat room to practice informal English and find new __ 75 .You can even use a chat room to help improve your typing skills if you want.
66_______ 67_______ 68_______ 69_______ 70_______
71_______ 72_______ 73_______ 74_______ 75_______
第三节书面表达（共20分）
假如你是小聪，在参加中英夏令营期间住在Eric家里，当你回国后发现你爸爸的数码相机落在了他家了，因此写信请他帮你寄回来。

内容要点：1. 感谢在英国期间他的一家人对你的照顾，并表达想念之情；
2. 请帮忙寄回数码相机；
3. 邀请他的一家人来北京旅游观光。

要求：1. 卷面整洁书写工整；
2. 内容可在包含要点的基础上适当发挥；
3. 不少于80词，开头结尾已给出。

参考词汇：数码相机digital camera
Dear Eric,
How time flies!_________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________________________ ________________________________________________________________
Yours,
Xiao Cong
绵阳南山中学（实验学校）2013年自主招生考试
理科综合模拟试题（一）
（考试时间120分钟满分150分）
注意事项：
第二节答卷前，考生务必将自己的姓名、准考证号填写在试题卷和答题卡上.
第三节选择题每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑．如需改动，用橡皮擦干净后，再选涂其他答案标号．答在试题卷上无效．
第四节非选择题的作答：用黑色墨水签字笔直接答在答题卡上对应的答题区域内．
第五节考生必须保持答题卡整洁．考试结束后，请将本试题卷和答题卡一并上交．可能用到的相对原子质量：H 1 C 12 O 16 Cl 35.5 K 39 Fe 56 Cu 64
第Ⅰ卷（选择题，共75分）
一、选择题（共21个小题，第1～9小题为化学试题，每小题3分；第10～21小题为物理试
题，每小题4分。

每小题只有一个选项符合题意）
1．生活中的下列做法利用了化学反应原理的是（）
A．灯泡通电后发光B．活性炭可除去冰箱中的异味
C．樟脑球在衣柜中消失D．含Al(OH)3药物用于治疗胃酸过多
2．低碳生活，从我做起。

全国“两会”首次使用环保易降解的“石头纸”，体现了低碳生活的理念，“石头纸”的主要原料为碳酸钙。

下面有关说法不正确的是（）
A．碳酸钙属于氧化物B．我们要节约用电，体现低碳生活
C．碳酸钙属于钙盐D．石灰石的主要成分是碳酸钙，常用来生产生石灰
3．下列实验操作中，正确的是（）
A．稀释浓硫酸B．熄灭酒精灯C．闻气味D．向试管中滴加液体4．下列鉴别物质的方法中，不正确的是（）
A. 用燃着的木条鉴别氧气和二氧化碳
B. 用酚酞溶液鉴别稀盐酸和食盐水
C.用肥皂水鉴别硬水和软水
D. 用燃烧的方法鉴别腈纶和羊毛
5．维生素C（C6H8O6）主要存在于蔬菜、水果中，它能促进人体生长发育，增强人体对疾病的抵抗力，近年来科学家还发现维生素C有防癌作用。

下列关于维生素C的说法正确的是（）
A．维生素C中C、H、O三种元素的质量比是3:4:3
B．维生素C由6个碳原子、8个氢原子和6个氧原子构成
C．维生素C的相对分子质量是176g
D．维生素C中氢元素的质量分数约为4.5%
6．甲、乙两种固体的溶解度曲线如右图所示。

下列说法正确
．．
的是（）
A．20℃时，甲溶液中溶质的质量分数一定等于乙溶液中溶
质的质量分数
B．40℃时，分别在100 g水中加入50 g 甲、乙，所得溶
液溶质的质量分数相等
C．40℃时，分别在100 g水中加入30 g 甲、乙，同时降温
至20℃，甲、乙溶液均为饱和溶液
D．20℃时，分别在100 g水中加入40 g 甲、乙，加热到50℃
时，乙溶液为饱和溶液
7．某金属加工厂生产过程中的废液含有少量硝酸银、硝酸镁、硝酸铜，为回收利用资源和防止污染，该厂向废液中加入一定量的铁粉，反应停止后过滤，向滤出的固体中加入少量稀盐酸，无气体产生。

则下列有关说法正确的是（）
A．滤出的固体中一定含有银和铜，一定不含铁、镁
B．滤出的固体中一定含有银，可能含有铜，一定没有镁和铁
C．滤液中一定有硝酸亚铁、硝酸镁，一定没有硝酸银和硝酸铜
D．滤液中一定有硝酸亚铁，可能有硝酸铜、硝酸镁，一定没有硝酸银
8．工业上用氨气（NH3）制取硝酸（HNO3），发生的反应为：
①4NH3＋5O2催化剂
=====
△
4NO＋6H2O ②2NO＋O2==2NO2
③3NO2＋H2O==2HNO3＋NO 下列判断不正确
．．．的是（）
A. ②为化合反应
B. 一氧化氮（NO）的化学性质稳定
C. 上述含氮物质中氮元素的化合价有-3，+2，+4，+5
D. 制取硝酸过程中产生的NO可循环利用
9．某KOH样品中含水7.62%，含K2CO3 2.38%，含KOH 90%。

将1.00 g样品加入含HCl 3.65 g 的盐酸中，过量的酸用适量的KOH恰好中和，蒸发后可得到固体（）
A．7.45 g B．4.00 g C．4.50 g D．无法计算10．“七．一”建党节学校举行了盛大的红歌比赛。

下面有关说法
不正确的是( )
A．我们从扬声器中听到的歌声是纸盘的振动产生的
太阳能电池板小电动机
B．我们从扬声器中听到的歌声是靠空气传到人耳的
C．我们能听到幕后是小红的歌声是根据音色判断的
D．我们的欢呼声掌声尖叫声对周边居民不属于噪声
11．市面上出售一种装有太阳能电扇的帽子(如图所示)在阳光的照射下，小电扇快速转动，能给炎热的夏季带来一丝凉意。

该装置的能量转化情况是( )
A．太阳能→电能→机械能
B．太阳能→机械能→电能
C．电能→太阳能→机械能
D．机械能→太阳能→电能
12．如图所示的实验装置图中，能够说明电磁感应现象的是( )
13．篮球是大家喜欢的运动，有关篮球下列说法中正确的是( )
A．抛出去的球，上升时受到平衡力的作用
B．拍球时手感到疼，说明力的作用是相互的
C．球出手后，继续运动，是受到了力的作用
D．飞行中的球会落向地面是由于球具有惯性
14．放映幻灯时，要想使屏幕上出现放大的“上”字，幻灯片的插法应选用图中的( )
A
B
C D
15．如图所示，条形磁铁置于水平面上，电磁铁与其在同一水平面上，电磁铁的右端固定并
保持水平，当电路中滑动变阻器滑片P逐渐向左移动时，条形磁铁仍保持静止，在此过程
中条形磁铁受到的摩擦力的方向和大小是( )
A．方向向右，逐渐增大
B．方向向左，逐渐减小
C．方向向左，逐渐增大
D．方向向右，逐渐减小
16．如图所示，一根不可伸长的细绳一端固定在O点，另一端系一小球，O点的正下方固定
有一根钉子P。

位置1在O点的正下方，位置3与A点
等高，位置5是A与l之间的某点，位置2是l与3之间
的某点，位置4是高于3的某点。

不考虑空气阻力，小
球从A点静止释放( )
A．第一次过位置l后最高能到达位置2
B．第一次过位置l后可能到达位置4
C．第二次过位置1后最高能到达位置A
D．第二次过位置l后最高能到达位置A与5之间的某点(不包括A)
17．P、Q是同一直线上相距12m的两点，甲从P点、乙从Q
点同时沿直线相向而行，它们运动的s-t图像如图所示，分
析图像可知( )
A．甲的速度小于乙的速度
B．经过3s，甲、乙相距4m
C．乙到达P点时,甲离Q点6m
D．甲到达Q点时,乙离P点2m
18．如图所示，一杯水静止在水平桌面上，杯中的水所受重力
为G1，杯子所受重力为G2，杯中的水对杯底的压力为N1，杯子对桌面
的压力为N2，桌子对杯子的支持力为N3，则下列选项不正确的是( )
A．N1<G1 B．G1+G2=N2
C．N1与N3是一对平衡力D．N2与N3是一对相互作用力
19．标有“6V 3W”的甲灯和“12V 12W”的乙灯，并联接在6V的电源上(假设灯丝的电阻不
变)，下列说法正确的是( )
A．甲、乙两灯消耗的电能之比是1:4 B．甲、乙两灯的电压之比是1:2
C．通过甲、乙两灯的电流之比是1:2 D．甲、乙两灯的实际电功率之比是1:1
20．如图所示，容器C中装有水，先按图甲的方式把铁块A
放入烧杯B中，后按图乙的方式用一根细线把铁块A与烧
杯B底面相连，两种方式烧杯B都漂浮在水面上。

设甲、
乙两图中铁块A和烧杯B共同受到的浮力分别为F甲和F乙，
水对烧杯B底面的压强分别为P甲和P乙，则( )
A．F甲>F乙，P甲>P乙B．F甲=F乙，P甲>P乙
C．F甲=F乙，P甲=P乙D．F甲<F乙，P甲<P乙
21．如图所示的电路，电源电压保持不变，电阻R1=10Ω，R2=8Ω，当闭合开关S1断开S2时，
A B C D。