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合肥168中学高一自主招生考试各科试卷汇聚

合肥168中学高一自主招生考试各科试卷汇聚
合肥168中学高一自主招生考试各科试卷汇聚

2010年科学素养测试

数 学 试 题

【卷首语】亲爱的同学们,欢迎参加一六八中学自主招生考试,希望你们凝神静气,考出水平!开放的一六八中学热忱欢迎你们!本学科满分为120分,共17题;建议用时90分钟。

一、填空题(本大题共12小题,每小题5分,共60分)

1、计算28-= .

2、分解因式:)1()1(---y y x x = .

3、函数1

1

4-+

-=x x y 中,自变量x 的取值范围是 . 4、已知样本数据x 1,x 2,…,x n 的方差为1,则数据10x 1+5,10x 2+5,…,10x n +5的方差为 .

5、函数x x y 322

+--=的图像与坐标轴的三个交点分别为(a , 0)(b , 0)(0, c ),则a+b+c

的值等于 .

6、在同一平面上,⊙1O 、⊙2O 的半径分别为2和1,1O 2O =5,则半径为9且与⊙1O 、⊙2O 都相切的圆有 个.

7、一个直角三角形斜边上的两个三等分点与直角顶点的两条连线段长分别为3 cm和4

cm,则斜边长为cm .

8、用黑白两种颜色的正六边形地面砖按如下所示的规律,拼成若干个图案:

则第10个图案中有白色地面砖块.

9、将函数2x

y 的图像平移,使平移后的图像过C(0,-2),交x轴于A、B两点,并且△ABC的面积等于4,则平移后的图像顶点坐标是 .

10、如图,平行四边形ABCD中,P点是形内一点,且△PAB的面积等于8 cm2,△PAD

的面积等于7 cm2,,△PCB的面积等于12 cm2,则△PCD的面积是cm2.

(第10题图)(第11题图)

11、一个由若干个相同大小的小正方体组成的几何组合体,其主视图与左视图均为如图所

示的3 × 3的方格,问该几何组合体至少需要的小正方体个数是 .

12、正△ABC内接于⊙O,D、E分别是AB、AC的中点,延长DE交⊙O与F, 连接BF

交AC 于点P ,则=PA

PC

.

二、解答题(本大题共5小题,每小题12分,共60分)

13、已知(a+b )∶(b +c )∶(c +a )=7∶14∶9

求:① a ∶b ∶c

② bc

c ab a +-22

14、一辆客车,一辆货车和一辆小轿车在同一条直线上同时同向行驶,客车在前,小轿车在后,

货车在客车与小轿车之间,走了1分钟,小轿车追上了货车;又走了6分钟,小轿车追上了客车.再过8分钟,货车追上了客车.设出发时客车与货车的距离为a ,货车与小轿车的距离为b ,求a : b 的值

15、在Rt△ABC中,斜边AB=5厘米,BC=a厘米,AC=b厘米,a>b,且a、b是

方程2(1)40

x m x m

--++=的两根,

⑴求a和b的值;

⑵△A'B'C'与△ABC开始时完全重合,然后让△ABC固定不动,将△A'B'C'以1厘

米/秒的速度沿BC所在的直线向左移动.

ⅰ)设x秒时△A'B'C'与△ABC的重叠部分的面积为y平方厘米(y>0),求y与x之间的函数关系式,并写出x的取值范围;

ⅱ)几秒时重叠部分的面积等于3

8

平方厘米?

16、已知A (5,0),点B 在第一象限内,并且AB 与直线l :x y 4

3

=

平行,AB 长为8. (1)求点B 的坐标. (2)点P 是直线l :x y 4

3

=上的动点,求△PAB 内切圆的最大面积.

2010年科学素养测试

物 理 试 题

【卷首语】亲爱的同学们,欢迎参加一六八中学自主招生考试,希望你们凝神静气,考出水平!开放的一六八中学热忱欢迎你们!本学科满分为80分,共18题;建议用时60分钟。

温馨提示:g=10N/kg

一、填空题(第9题2分,其余每空1.5分,共29分)

1.室内天花板上悬挂一只吊灯。灯绳对灯的拉力和________是一对平衡力;灯对灯绳的拉力和________是一对相互作用力

2.各种形式的能之间可以在一定的条件下相互转化,请按表中示例完成表格。

3.坐在向东行驶的列车里的乘客,看到路旁的树木向后退,同时又看到汽车也在向后退,以地面为参照物,汽车的运动状态可能是、、。

4.“跳远”是一项常见的体育运动。跳远运动员在比赛中都是先助跑一段距离后才起跳,这样做为了增大运动员的 .

5.将两只灯泡串联在电路中,闭合开关后,发现其中一只发光,另一只不发光。原因可能是__________________________________.(写出其中一种即可)

6.夏季,农户家常用一种没有烧过的粘土做的茶壶。观察发现,装水后,壶的外壁总是潮湿的。请分析:

这种茶壶能使里面的凉茶水变得更凉些的原因是。

你认为茶壶放在地方变凉效果会更好。7.如图电路中,R1=10Ω、R2=20Ω、R3=30Ω,开关闭合后,电压表示数为6V,则A2的示数是_________A。5min R1消耗的电能_______J;R2的电功率是________W。

第7题图

8.如图是某家用燃气热水器结构原理图,微

动开关K与活塞相连,活塞与水管相通。

淋浴时,打开淋浴阀,根据

的原理,喷头有水喷出;再根据

的规

律,活塞应向(左、右)移动,第8题图

把燃气阀打开,同时电子点火,燃气进入灶头燃烧,有热水流出;洗完后,关闭淋浴阀,热水器熄火。

9.一根绳子系着一个铁球,悬挂在一个通电螺线管右边,小球静止时与通电螺线管等高且不接触。请画出小球受力示意图。

得分 评卷人 二、选择题(每题3分,共12分)

10.下面的光路图中正确的是 ( )

11.利用如下图所示装置将重为100 N 的物体匀速从斜面的底端拉到顶端.已知斜面的长

是4 m ,高是2 m ,拉力为F=50 N ,则该装置的机械效率为 ( )

A.40%

B.50%

C.80%

D.100%

12.如图是使用汽车打捞水下重物示意图,在重物从水底拉到井口的过程中,汽车以恒定速度如图甲向右运动,忽略水的阻力和滑轮的摩擦,四位同学画出了汽车功率(P )随时间(t )变化的图象如图乙所示,其中正确的是 ( )

13. 在如图所示的电路中,电源电压和灯泡电阻都保持不变,当滑动变阻器R 的滑片P 由右

空气

A C 水

B D 第9题图

向左移动到如图所示位置时,下列判断中正确的是()

A.电流表示数增大,电压表的示数减小

B.电流表和电压表的示数都减小

C.电流表的示数增大,电压表的示数不变

D.电流表的示数减小,电压表的示数不变

得分评卷人

三、实验题(第14题5分,第15题10分,第16题8分,共23分) 14.如图所示,是研究“物体动能的大小与哪些因素有关”的实验装置,实验中让大小不同的钢球从斜面上同一高度由静止滚下,碰到同一木块上。请回答以下问题:

(1)设计实验的目的是研究钢球动能的大小与的关系。

(2)实验是通过观察,说明钢球对木块做功的多少,从而得出结论的。(3)若水平面为光滑的,该实验还能得出结论吗?

理由是: . 15.在探究“滑动摩擦力的大小与什么因素有关”时,小华同学根据自己推箱子时,箱子越重,推起来越费力,提出了“影响滑动摩擦力大小的因素可能与接触面受到的压力大小有关”的猜想;小辉同学根据自己推箱子时,地面越粗糙,推起来越费力,提出了“影响滑动摩擦力大小的因素可能与接触面的粗糙程度有关”的猜想。下图是验证他们猜想的实验装置图。

(1)小辉同学为了完成他自己的探究应按两图进行。

(2) 若小华选用正确的实验装置进行实验得到下表所记录的实验数据,请根据数据在所

给坐标中作出滑动摩擦力的大小f与接触面受到的压力大小N之间的关系图象。

(3) 根据图像可以得出f与N的关系是。

(4) 小华同学在实验中应使小车做,这样做的目的是 .

16.在测小灯泡的额定功率实验中,其中被测灯泡的额定电压为3.6V,估计它的额定功率

为0.8W,为准确测出它的额定功率,在操作台上准备了如下实验器材:

A.电压表V(量程0-3V和0-15V)B.电流表A(量程0-0.6A和0-3A)

C.电源(电压为9V)D.滑动变阻器R1(0-50Ω)

E.电阻箱R2(0-9999Ω,最小分度值1Ω,变阻箱在电路图中符号)

F.开关S一只、导线若干

(1)给实物图画出所缺导线,使它成为一个完整的实验电路.

(2)若在实验过程中发现电压表0-15V量程损坏,无法按常规方法进行实验,请你在所提供的器材中增减合适器材,重新设计出测定小灯泡额定功率的电路图,并画在右边的方框里(已知:0-3V电压表内阻为3000Ω)

得分评卷人

四、计算与简答(第17题6分,第18题10分,共16分)

17.小华家屋顶上有一台太阳能热水器,水箱容量为150升,水箱离地面高12米。则(1)将水从地面输送到热水器的水箱中,至少需对这些水做多少功?

(2)假如热水器接收到的太阳能有50%转化为水的内能,则使一箱水温度从15℃升高到65℃需要接收多少太阳能?(C水=4.2×103J/(kg·℃))

(3)太阳能热水器是将太阳能转化成内能的装置,请说出使用太阳能热水器有什么优缺点?(各说一条即可)

2010年人文素养测试

英语试题

【卷首语】亲爱的同学们,欢迎参加一六八中学自主招生考试,希望你们凝神静气,考出水平!开放的一六八中学热忱欢迎你们!本学科满分为100分,共56题;建议用时70分钟。

第一部分英语知识运用(共两大题,满分45分)

Ⅰ. 单项选择(共15小题;每小题1分,满分15分)

从每小题所给的四个选项中选出最佳答案,并填写在答题卷的相应位置。

1. He likes playing _____ basketball while I like playing _____ piano.

A. the; a

B. a; the

C. /; the

D. the; /

2. September is the ______ month of the year.

A. nine

B. ninth

C. seven

D. seventh

3. --Excuse me. Do you have a table for two?

--I am sorry, ____ there aren’t any seats now.

A. but

B. and

C. or

D. so

4. --Doctor, I’m getting ______.

--Well, you’d better eat _____ and take more exercise.

A. fat and fatter; more

B. fatter and fatter; fewer

C. fatter and fat; less

D. fatter and fatter; less

5. My parents promised to take me to the Shanghai Expo _________ this summer.

A. sometimes

B. some times

C. sometime

D. some time

6. -- Linda, help____ to some fish.

-- Thank you.

A. yourselves

B. yourself

C. you

D. yours

7. Go and ask your teacher for help if you ________ any questions.

A. will have

B. are having

C. are gong to have

D. have

8. The 2012 Olympics__________ in London.

A. will be held

B. will hold

C. is holding

D. was held

9. We should respect people _______ work hard.

A. which

B. whom

C. what

D. who

10._________ strange weather we have met recently!

A. What

B. What a

C. How

D. How a

11. Our sports meet may be ________ because of the bad weather.

A. put up

B. put off

C. put down

D. put away

12. I am not familiar with QQ. Could you please show me ________to use it?

A. what

B. how

C. when

D. why

13. --Must I clean the classroom now?

-- No, you _______. You can do it after school.

A. needn’t

B. mustn’t

C. can’t

D. shouldn’t

14. My friend is comi ng today but he didn’t tell me _______.

A. when did the train arrive

B. how did the train arrive

C. when the train arrived

D. how the train arrived

15. -- Sorry for being late for the class, sir.

-- __________. Come earlier next time.

A. Never mind

B. You are welcome

C. That’s OK

D. Not at all

Ⅱ. 完形填空(共20小题;每小题1.5分,满分30分)

阅读下面短文,从每小题所给的四个选项中选出最佳答案,并填写在答题卷的相应位置。

A

I am a student of Class 1, Grade 8. My school life is very 16 and I like my school very much. Our teachers are kind and 17 . Also I am getting along well with my classmates.

Classes begin at 7:40 a.m. We 18 four classes in the morning and three in the afternoon. We learn many subjects 19 Chinese, English, math, history and physics. I am very interested in them but I like P.E. best because having sports 20 good for us and can keep us 21 .

Because my home is 22 far from the school, I have to eat lunch at 23 . After school in the afternoon, I often play basketball with my classmates on the playground 24 . At times I go to the school library and do some 25 there.

I like to be there because there are lots of books, magazines and newspapers. In my opinion, we can learn a lot from reading.

16. A. interesting B. interested C. boring D. bored

17. A. friend B. friends C. friendly D. friendship

18. A. give B. have C. take D. make

19. A. for example B. as if C. such as D. as well as

20. A. do B. does C. are D. is

21. A. health B. healthy C. healthily D. unhealthy

22. A. a little B. a few C. little D. few

23. A. table B. home C. work D. school

24. A. for some time B. for sometime C. at the moment D. in a moment

25. A. cleaning B. writing C. reading D. shopping

B

Mr. Lu is a school teacher in a very poor countryside in China. He can’t walk but only moves with his knees because of his serious disability (残疾). His “shoes” are 26 made to cover each of his knees so that he can 27 forward easier on the country 28 . In spite of little money he made, he has

been working as a teacher there for 36 years. He loves his job very much and 29 takes good care of the children.

He is a hardworking person with a kind 30 . He never asks for much from life, and

31 he wants is very basic and simple. The happiest thing for him is to see the children get good education and 32 a better life in the future.

Recently, some nice people 33 his story and were greatly moved(感动). They decided to help him and 34 him a pair of walking sticks, so he can “walk” with the35 to and from the school. Some people have posted his story online and they hope this common great person will be able to receive more attention from all over the county.

26. A. especially B. specially C. usually D. mostly

27. A. climb B. walk C. step D. move

28. A. roads B. hills C. fields D. villages

29. A. never B. always C. already D. seldom

30. A. mind B. head C. heart D. spirit

31. A. any B. some C. all D. none

32. A. have B. to have C. having D. has

33. A. heard from B. told about C. told of D. heard about

34. A. lent B. borrowed C. repaired D. bought

35. A. legs B. sticks C. shoes D. hands

第二部分阅读理解(共三篇,满分30分)

Ⅲ. 阅读理解( 共15小题;每小题2分,满分30分)

阅读A、B两篇短文,从每小题所给的四个选项中选出最佳答案,并填写在答题卷的相应位置。

A

From Feb. 8 to Mar. 1 is our winter holiday. I think everybody did a lot in the holiday. But it seems that I did nothing and it was my most unlucky holiday.

I spent a lot of time on my homework. Every morning my mother woke me up early and I had breakfast in a hurry. Then I had to do my homework almost the whole day! I’m not a very slow person but the homework was too heavy!

I was also unlucky when playing. During the Spring Festival, I played fireworks but my finger was hurt because I was careless to light the fireworks. I began to fear playing with fireworks from then.

I was still unlucky on my friend’s party. On my friend’s birthday, unusually I woke up at 10:50 because my parents went to visit my grandmother

early in the morning. The party would start in 10 minutes! So I hurried to my friend’s home without breakfast. I returned very late that day and when I got home, my parents were very angry with me.

Another worrying thing was my weight. Last term, I was 46 kg but now I am 51 kg! I have to consider losing weight!

36. How long did the winter holiday last?

A. two months

B. one month

C. 3 weeks

D. 23 days

37. The writer got up early every day during the holiday because ______.

A. he had to finish homework

B. he had to have breakfast

C. he was a very slow person

D. his mother was in a hurry

38. He hurt his finger because of ________.

A. the Spring Festival

B. his carelessness

C. the light of fireworks

D. his fear of playing

39. Why were the writer’s parents angry with him?

A. Because he got up too late.

B. Because he missed breakfast.

C. Because he was late for the party.

D. Because he came back home too late.

40. What did the writer want to tell us in the passage?

A. He had an unlucky holiday.

B. He had too much homework.

C. His parents were very strict.

D. He planned to lose weight.

B

In recent years, more and more people like to keep pets such as a dog, a cat, a monkey and other animals. But usually people would accept tame(温顺的) and loyal(忠诚的) animals as pets rather than dangerous ones such as a lion,a tiger or a snake.

People love pets and take good care of them. The owners usually regard pets as good friends and some even consider them as members of the family. Although they are not human beings(人类), their behavior sometimes is better than human beings, for they are always loyal to their owners. There are always many stories about brave and smart pets. We often hear that a pet dog saved the owner's life or traveled thousands of miles to return home. Such stories often make pets more lovely.

Some pets can also be trained to help people with some special work. For example, trained dogs can help the blind to walk and trained dogs and pigs can even help police to find where drugs are easily.

But pets are sometimes trouble-makers. Some pets like dogs or snakes may hurt people without any warning. Some people may become ill after being hurt because of the virus carried by the pets. If they are not taken good care of, they

will become very dirty and easily get ill. So pets are helpful to us but keeping pets is not an easy job.

41. What animals are thought to be dangerous as pets?

A. Cats.

B. Dogs.

C. Snakes.

D. Monkeys

42. Which of the following statements is TRUE about pets?

A. All the pets are considered as family members.

B. Pets always behave better than human beings.

C. Sometimes some pets can protect their owners.

D. Some pets like traveling far away from home.

43. Why do people train pets according to the passage?

A. To make them more clever.

B. To make them more lovely.

C. To find drugs for the blind.

D. To do some special work.

44. What can we learn from the last paragraph?

A. Pets often hurt strange people.

B. Pets can live well with the virus.

C. Pets are dirty and dangerous.

D. Pets should be looked after well.

45. What is the best title for the passage?

A. Training Pets.

B. Keeping Pets.

C. Cleaning Pets.

D. Loving Pets.

阅读以下左栏人员的相关信息,然后在右栏中选择匹配的广告,并填写在答题卷的相应位置。

第三部分

写(共两大题,满分25分)

Ⅳ. 单词拼写(共5小题;每小题1分,满分5分) 根据首字母或汉语提示,完成下列单词拼写,使句意明确,语言通顺。并把答案写在答题卷相应位置。

51. Huangshan Mountain is one of the greatest wonders of the n____________ world.

52. P.E is the short form for p_____________ education.

53. Shanghai Expo 2010 is ready to receive both Chinese and ____________(外国人).

54. Have you ___________(回复) to the letter?

55. I can’t see it ____________(清楚). There is something wrong with my eyes.

Ⅴ. 书面表达(满分20分)

56.初中生活即将结束,你将迎来全新的高中生活。根据下列图表提示,根据自己需要,梳理组织相关信息,以My Expected High School 为题,写一篇80-100单词的短文。作文写在答题卷相应位置。

2010年人文素养测试英语试题答题卷

第一部分英语知识运用(共两大题,满分45分)

Ⅰ. 单项选择(共15小题;每小题1分,满分15分)

Ⅱ. 完形填空(共20小题;每小题1.5分,满分30分)

第二部分阅读理解(共三篇,满分30分)

Ⅲ. 阅读理解( 共15小题;每小题2分,满分30分)

第三部分写(共两大题,满分25分)

Ⅳ. 单词拼写(共5小题;每小题1分,满分5分)

51._________________; 52. _________________; 53. _________________

54._________________; 55.__________________.

Ⅴ. 书面表达(满分20分)

56.My Expected High School Life

__________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________

______________________________________________________________________________ __________________________________________

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【卷首语】亲爱的同学们,欢迎参加一六八中学自主招生考试,希望你们凝神静气,考出水平!开放的一六八中学热忱欢迎你们!本学科满分为100分,共17题;建议用时80分钟。

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1.下列成语注音和字形完全正确的一项是()(3分)

A.怙(hù)恶不悛莘莘(shēn)学子残无人道忧柔寡断

B.纨绔(kù)子弟引吭(kàng)高歌仗义执言按部就班

C.戛(jiá)然而止股肱(gōng)之臣别出心裁唉声叹气

D.负隅(yú)顽抗栉(zhì)风沐雨一愁莫展不胫而走

2.古诗词默写(6分)

(1)杜牧《赤壁》:

“折戟沉沙铁未销,自将磨洗认前朝。,。”(2)宋诗重理。请任意写出两句包含哲理的宋诗。

, 。

(3)读书既需要字斟句酌的精读,但同时也少不了像陶渊明在《五柳先生传》中主张的“,”。

3.鲁迅先生是我国现代文学史上著名的文学家、思想家、革命家,为后人留下了宝贵的文

学遗产。请任选他的两部作品,解释作品名称的含义。(4分)

例:《朝花夕拾》——“朝花”比喻童年往事,“夕拾”比喻成年后重提,可知是作者对以往经历的回忆。

a.;

b.。4.填空(4分)

(1)我国古代有“干支纪年法”。其中“天干”十:甲、乙、丙、丁、、、庚、辛、壬、癸;“地支”十二:子、丑、寅、卯、辰、、午、未、申、酉、、亥。(2分)

(2)我国古代诗文中常用一些专有名词代指人的年龄,如:“而立”代指三十,“”

代指四十,“知天命”代指五十,“”代指六十,等等。(2分)

5.就可乐这种饮料而言,有“非常可乐”“百事可乐”“可口可乐”等。请任选一种可乐名称,谈谈它们设计的特点。(3分)

6.走进名著(每空1分,共5分)

(1)“开口不谈《红楼梦》,读尽诗书也枉然。”一曲红楼多少梦?情天情海幻情身。

作品塑造了三个悲剧人物:,为爱情熬尽了最后一滴泪,含恨而死;,终于离弃“温柔富贵之乡”而遁入空门;虽成了荣府的“二奶奶”,却没有赢得真正的爱情,陪伴她的是终身凄凉孤苦。

(2)走进中国四大古典名著,与作者对话,你会读出别样的况味:如果说《三国演义》是一班将相的粉墨,《水浒》是,《西游记》是,那么,《红楼梦》则是一曲没落家族的挽歌。

7.古诗词鉴赏:阅读下面的唐诗,回答问题(4分)

菊花

元稹

秋丛绕舍似陶家,遍绕篱边日渐斜。不是花中偏爱菊,此花开尽更无花。

(1)诗中哪些词语最能体现诗人对菊花的偏爱?

(2)这首诗寄托了诗人怎样的思想感情?

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2012年科学素养测试 数 学 试 题 【卷首语】亲爱的同学们,欢迎参加一六八中学自主招生考试,希望你们凝神静气,考出水平!开放的一六八中学热忱欢迎你们!本学科满分为120分,共17题;建议用时90分钟。 一、填空题(本大题共12小题,每小题5分,共60分) 1、计算28-=. 2、分解因式:)1()1(---y y x x =. 3、函数1 1 4-+ -=x x y 中,自变量x 的取值范围是. 4、已知样本数据x 1,x 2,…,x n 的方差为1,则数据10x 1+5,10x 2+5,…,10x n +5的方差为. 5、函数x x y 322 +--=的图像与坐标轴的三个交点分别为(a ,0)(b ,0)(0,c ),则a+b+c 的值等于. 6、在同一平面上,⊙1O 、⊙2O 的半径分别为2和1,1O 2O =5,则半径为9且与⊙1O 、⊙2O 都相切的圆有个. 7、一个直角三角形斜边上的两个三等分点与直角顶点的两条连线段长分别为3cm 和4cm ,则斜边长为cm . 8、用黑白两种颜色的正六边形地面砖按如下所示的规律,拼成若干个图案: 则第10个图案中有白色地面砖 块. 9、将函数2x y =的图像平移,使平移后的图像过C (0,-2),交x 轴于A 、B 两点, 并且△ ABC 的面积等于4,则平移后的图像顶点坐标是. 10、如图,平行四边形ABCD 中,P 点是形内一点,且△P AB 的面积等于8 cm 2,△P AD 的面积等于7 cm 2,,△PCB 的面积等于12 cm 2,则△PCD 的面积是cm 2.

2 (第10题图)(第11题图) 11、一个由若干个相同大小的小正方体组成的几何组合体,其主视图与左视图均为如图所 示的3×3的方格,问该几何组合体至少需要的小正方体个数是. 12、正△ABC 内接于⊙O ,D 、E 分别是AB 、AC 的中点,延长DE 交⊙O 与F ,连接BF 交 AC 于点P ,则= PC . 二、解答题(本大题共5小题,每小题12分,共60分) 13、已知(a+b ):(b +c ):(c +a )=7:14:9 求:①a :b :c ②bc c ab a +-22 14、一辆客车,一辆货车和一辆小轿车在同一条直线上同时同向行驶,客车在前,小轿车在后, 货车在客车与小轿车之间,走了1分钟,小轿车追上了货车;又走了6分钟,小轿车追上了客车.再过8分钟,货车追上了客车.设出发时客车与货车的距离为a ,货车与小轿车的距离为b ,求a :b 的值 15、在Rt △ABC 中,斜边AB =5厘米,BC =a 厘米,AC =b 厘米,a >b ,且a 、b 是方程 2(1)40x m x m --++=的两根, ⑴求a 和b 的值; ⑵△A'B'C'与△ABC 开始时完全重合,然后让△ABC 固定不动,将△A 'B 'C'以1厘米/秒的速度沿BC 所在的直线向左 移动. ⅰ)设x 秒时△A 'B 'C'与△ABC 的重叠部分的面积为y 平方厘米(y >0),求y 与x 之间的函 数关系式,并写出x 的取值范围; ⅱ)几秒时重叠部分的面积等于 3 8 平方厘米? A B C M A' B'C'

2014年合肥168中学自主招生英语试题

2 0 1 4年人文素养测试 英语试题 【卷首语】亲爱的同学们,欢迎参加一六八中学自主招 Th 考试,希望你 们凝神静气,考出 水平!开放的一六八中学 热忱欢迎你们!本学科满分100分,共61题;建议用时70分钟。 第一部分 知识运用(共两大题,满分30分) I. 单项选择(共15小题;每小题1分,满分15分) 从每小题所给的四个选项中选出最佳答案,并填写在答题卷相应位置。 1. Tasting the local food is _______ better way of knowing _______ culture behind it. A. the; a B.a; the C. /; the D. a; a 2. Mom makes me eat an apple every day ________ the doctor away. A. keeps B. is kept C. to keep D. kept 3. A friend is __________ lost tha n found. A. easy B. easily C.easier 4. ---My classmates and I will go to the cinema to watch Rio II tomorrow . --- _______ . Shall we go together? A. So I do B. So do I C. So will I 5. She was supposed ________ i n hospital, but people found her in the classroom. A. to stay B. staying C. stay D. stays 6. No one can achieve anything without ________ . A. effort B. energy C. force D. strength 7. ---Have you finished your homework? --- _______ . Just half of it. How about you? A. Not at all B. Not likely C. Not a bit D. Not yet 8. --- Have you read the play called The Twelfth Night ? ---Who ______ it? A. writes B. write C. has written D. wrote 9. --- It ' s said that Hefei Subway Line One will go into service at the end of 2014. ---Wow! ! Will it pass our school? A. What an exciting news B. What exciting news C. How excit ing n ews D. How excited the n ews is D. more easily D. So I will.

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