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甘肃省历年中考试题

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篇一:甘肃省兰州市2014年中考数学试卷

s="txt">一、选择题(共15小题,每小题4分,共60分)

4.期中考试后,班里有两位同学议论他们所在小组同学的数学成绩,小明说:“我们组成绩是86分的同学最多”,小英说:“我们组的

7位同学成绩排在最中间的恰好也是86分”,上

9.若反比例函数的图象位于第二、四象限,则k的取值可以是( )

11.把抛物线y=﹣2x先向右平移1个单位长度,再向上平移2个单位长度后,所得函数的

C逆时

2

13.如图,CD是⊙O的直径,弦AB⊥CD于E,连接BC,BD,下列结论中不一定正确的

14.二次函数y=ax+bx+c(a≠0)的图象如图所示,对称轴是直线x=1,则下列四个结论错2

15.如图,在平面直角坐标系中,四边形OBCD是边长为4的正方形,平行于对角线BD的直线l从O出发,沿x轴正方向以每秒1个单位长度的速度运动,运动到直线l与正方形没有交点为止.设直线l扫过正方形OBCD的面积为S,直线l运动的时间为t(秒),下列能反映S与t之间函数关系的图象是( )

二、填空题(共5小题,每小题4分,共20分)

16.在四个完全相同的小球上分别写上1,2,3,4四个数字,然后装入一个不透明的口袋内搅匀,从口袋内取出一个球记下数字后作为点P的横坐标x,放回袋中搅匀,然后再从袋中取出一个球记下数字后作为点

P的纵坐标y,则点P(x,y)落在直线y=﹣x+5上的概率是 .

17.如果菱形的两条对角线的长为a和b

,且a,b满足(a﹣1)+

2

=0,那么菱形的

面积等于 .

18.如图,△ABC为⊙O的内接三角形,AB为⊙O的直径,点D在⊙O上,∠ADC=54°,则∠BAC的度数等于 .

19.如图,在一块长为22米、宽为17米的矩形地面上,要修建同样宽的两条互相垂直的道路(两条道路各与矩形的一条边平行),剩余部分种上草坪,使草坪面积为300平方米.若设道路宽为x米,则根据题意可列出方程为 .

20.为了求1+2+2+2+…+2的值,可令S=1+2+2+2+…+2,则2S=2+2+2+2+…+2

10110123100101

因此2S﹣S=2﹣1,所以S=2﹣1,即1+2+2+2+…+2=2﹣1,仿照以上推理计算

232014

1+3+3+3+…+3的值是 . 三、解答题(共8小题,共70分)

20

21.(10分)(1)计算:(﹣1)﹣2cos30°++(﹣2014);

2310023100234101

(2)当x为何值时,代数式x﹣x的值等于1 ? 22.(5分)如图,在△ABC中,先作∠BAC的角平分线AD交BC于点D,再以AC边上的一点O为圆心,过A、D两点作⊙O(用尺规作图,不写作法,保留作图痕迹,并把作图痕迹用黑色签字笔加黑)

2

23.(6分)兰州市某中学对本校初中学生完成家庭作业的时间做了总量控制,规定每天完成家庭作业的时间不超过1.5小时,该校数学课外兴趣小组对本校初中学生回家完成作业的

(2)补全频数分布直方图;

(3)请估计该校1400名初中学生中,约有多少学生在1.5小时以内完成了家庭作业.

24.(8分)如图,在电线杆上的C处引拉线CE、CF固定电线杆,拉线CE和地面成60°角,在离电线杆6米的B处安置测角仪,在A处测得电线杆上C处的仰角为30°,已知测角仪高AB为1.5米,求拉线CE的长(结果保留根号).

25.(9分)如图,直线y=mx与双曲线y=相交于A、B两点,A点的坐标为(1,2) (1)求反比例函数的表达式;

(2)根据图象直接写出当mx>时,x的取值范围; (3)计算线段AB的长.

26.(10分)如图,AB是⊙O的直径,点E是(1)求证:BC是⊙O的切线;

(2)已知AD=3,CD=2,求BC的长.

上的一点,∠DBC=∠BED.

27.(10分)给出定义,若一个四边形中存在相邻两边的平方和等于一条对角线的平方,则称该四边形为勾股四边形.

(1)在你学过的特殊四边形中,写出两种勾股四边形的名称;

(2)如图,将△ABC绕顶点B按顺时针方向旋转60°得到△DBE,连接AD,DC,CE,已知∠DCB=30°.

①求证:△BCE是等边三角形;

222

②求证:DC+BC=AC,即四边形ABCD是勾股四边形.

28.(12分)如图,抛物线y=﹣x+mx+n与x轴交于A、B两点,与y轴交于点C,抛物线的对称轴交x轴于点D,已知A(﹣1,0),C(0,2).

2

篇二:2012中考历年各地真题

部分阅读理解(共一大题,满分40分)

IX 阅读理解(共20小题;每小题2分,满分40分)

阅读下列短文,从每小题所给的A、B、C、D四个选项中选出一个最佳选项。

A

Lennardo da Vinci was born on April 15,1452 in Italy . He ia best known as an artist today . One of his famous paintings is called Mona Lisa . However ,Lennardo had many oter natural abilities . He was also a great inventor . Many of his inventions have become important in modern day life.

Although Lennardo hated war ,he invented many different machines used for war. His most special invention was the machine gun ,which was produced in war many years later.

By watching the way birds fly,Lennardo tried to find out the secret of flying . Among his sketches (素描) we can see many objects . We consider them as modern flying machines .

Lennardo spent many hours thinking about :how to make good use of time. He developed ideas for labor-saving machines like cutting machines .

Lennardo was a strange man . He didn't cut any meat ,which was very unusual in those times. He never published(发表) his ideas and specific discoveries . He usually used mirror writing ,which looks like writing in the mirror ,starting from the right side of the page and moving to the left .

We have very little of his work today .Lennardo finished only a few of his paintings . He left many unfinished because he thought they were not perfect . On one in his life time knew how great Lennardo was . We now believe ,however ,that he was one of the cleverest men the world has ever known.

76. According to the passage ,Lennardo is not only an artist but also ______.

A. An inventorB. An engineer C. A writer D.a musician

77._____was Lennardo's most special invention .

A. The mirror writingB. The cutting machine

C. The machine gun D. The flying machine

78. Lennardo was strange ,for example ,__________.

A.he didn't cut any vegetables B.he usually use mirror writing

C.he liked to publish his discoveries D.he enjoyed drawing flying machines

79. Lennardo invented some machines to _____

A.stop the war B.help painting pictures

C.watch the birds D.make good use of time

80. From the passage ,we can learn that Lennardo was very ______.

A.humorousB.acriousC.clever D.lonely

B

Some people have a very poor sense of direction. Unluckily , I am one of them . I haver visited a place many times but I may still get lost there the next time .

When I was a little girl ,I never dared ask strangers the way . And so I used to walk round in circles and hope that by chance I would get to the place I was going to .

Now ,I am no longer too shy to ask people for directions ,but I often receive helpless or even wrong information . So I try to avoid giving people wrong directions . If anyone ever asks the way somewhere ,I always say ,"Sorry ,I am a stranger here ."

Once on my way to work I was stopped by a man . He asked me if I could tell him the way to the Friendship Building . I gave him my usual reply. But just as I walked on only a few steps , I realized that he had asked the

way to my office building . However ,I had no time to return back and look for him . I was rushing to meet with someone at my office and I didn't want to keep him waiting.

When I just got to my office ,the secretory showed in the man who had asked me for directions . Imagine how embarrassed I was and how surprised he was when we saw each other at the first sight!

81. The writer always refuses to give people directions because _____.

A.she's a stranger to city B.she doesn't know the people

C.she has no time to help others D.she's afraid of giving wrong directions

82. A man stopped the writer on the way to _____.

A.sell her something B.ask for the time

C.make friends with her her D.ask for the direction

83. The Friendship Building is the place where the writer ______.

A.lives B.studiesC.works D.teaches

84. The word "embarrassed " in the last paragragh means "_______"

A.尴尬 B.困惑 C.激动D.拮据

85. Which of the following is TRUE according to the passage ?

A. The writer is too shy to give others directions

B. The writer has a very poor sense of direction

C. The writer never got lost when she was young

D. The man was quite nervous when he saw the writer

C

Every school has notice board . Let's see what is on the notice board of an America school.

86. According to School Policy ,visitors have to _____when entering the school .

A.hand in a note B.call at 524-9752

C.check in at the officeD.telephone to the school

87. From ______,parents can get information on the parents meeting .

A.School Policy B.Report Card

C. After-school Program D. Class Announcement

88. Report Card shows parents _______.

A.certain school rules B.after-school activities

C.plans for classes and testsD.children's school life and work

89. Suppose Tony doesn't do well at school but makes progress ,he will get ____on the Report Card .

A.1B.2C.3D.4

90. Students do their homework and read books ______.

A.from 3:30 to 4:30 B.form 3:30 to 6:00

C.from 4:30 to 6:00 D.from 6:00 to 7:00

D

In our life ,w

甘肃省历年中考试题

e may meet persons with different personalities(性格).What is your personality type(类型)? Read about the following and find out!

A Dreamer thinks there is a "right " way to do things . This person wants to live in the "perfect world ". Many are good listeners and like to help others . Many Dreamers work as teachers ,and often lead others . Famous Dreamers :Mobandas Gandhi,Angelina Jolie.

A Partner wants to be in a group . For this person ,rules are important . They consider tradition to be of great value . Partners are often serious ,careful people . Many do well as teachers ,managers and police officers . Famous Partners :Queen Elizabeth II, Mother Teresa .

For thinkers ,understanding things is very important . They like to deal with problems and make new things . Thinkers can also be active . They like to win . They have very strong opinions (主张). Many Thinkers work as scientists, inventors and engineers . Famous Thinkers :Bill Gates ,Stephen Hawking.

Artists want to be free . They don't want to follow the rules all the time . They also like trying new things . Like Thinkers ,many artists have strong opinions . They are creative and do well as musicians and actors . Famous Artists : Cristiado Ronaldo ,Madonna.

91. How many personality types are mentioned in the passage?

A. Three B. Four C. Five D. Six

92. According to the passage ,when you need help ,____may give you a hand .

A. Dreamers B. Partners C. Thinkers D. Artists

93. You may choose a job as ______ ,if you are careful and serious .

A.a playerB.an actor C.a police officer D.a scientists

94. If you are active and like to win ,maybe you are similar in ______.

A. Gandi B. Mother teresaC. Bill Gates D. Madonna

95. Which could be the best title for the passage?

A. Famous PeopleB. Personality Types C. Perfect World D. Job Choices

2012 大庆

V. Reading Comprehension(共20小题,A、B、C每小题1分,D小题2分,共25分)

(A)

The EURO Cup made this June a season for football. But do you know that the word football means different things in different places? Here‘s a quick guide to some of the world‘s many games called football. Association Football

Association football is also called soccer. It is the world‘s most popular kind of football.

Players try to kick(踢) the round ball into the other teams‘ goal(球门). None of the players,

except goal keepers, are allowed to touch the ball with their hands.

Rugby Football

Modern rugby is played in many countries. In this game, players use their hands

and feet to move the ball toward the other teams‘ goal line.

American Football

American football is most popular in the US. To score, players must kick or carry

the ball over the other team‘s goal line. Different from rugby players, the players of

American football all wear helmet(头盔) and shoulderpad(护肩) when playing.

Judge the following sentences True(T) or False(F).

()31. There are only three games in the world called football.

()32. American football is the world‘s most popular kind of football.

()33. When you play rugby, you need to wear helmet and shoulderpad.

()34. Players of rugby and American football can touch the bal with hands.

()35 All the players of the three different football games can kick the balls.

(B)

Read the biography of David and decide which paragraphs describe:

A.his discovery B. his childhood

E.his educationC.the importance of his workD.his current(目前的) research

36.____________________________

David Ho is one of the most famous scientists in the world because of his research on AIDS(艾滋病). He was born in 1952 and he was given the name Da-i, which means ―Great One‖ in Chinese. His family moved to the United States when he was 12 years old.

37. ___________________________

David was a brilliant student and he first studied Physics at university. He quickly realized that he was more

interested in life science so he went to Harward Medical School. It was there that he saw people who had AIDS. In

the early 1980s, AIDS was almost unknown and Ho decided to study this mysterious killer disease.

38. _____________________________

Ho discovered that the HIV virus(艾滋病毒) could live in a healthy person‘s body for years. He realized that the earlier a person with HIV is treated, the longer they will live.

39. _______________________________

Because of his research, combinations of drugs(药) have been developed which treat the disease and the lives of thousands of people have been saved. Because of his work, he was named Time Magazine‘s Man of the Year in 1996.

40. _______________________________

At 37, he was appointed(任命) Director of the Aaron Diamond AIDS Research Centre in New York. Today, his research is focused on making a vaccine(疫苗) against AIDS. If Ho finds a vaccine for AIDS, he will become an international hero.

(c)

()41. Which food pair is correct when you eat according to the passage?

篇三:2014年甘肃省兰州市中考数学试题(含答案)

ss="txt">一、选择题(共15小题,每小题4分,共60分)

1.(4分)(2014?兰州)在以下绿色食品、回收、节能、节水四个标志中,是轴对称图形的

4.(4分)(2014?兰州)期中考试后,班里有两位同学议论他们所在小组同学的数学成绩,

小明说:“我们组成绩是86分的同学最多”,小英说:“我们组的7位同学成绩排在最中间的

5.(4分)

(2014?兰州)如图,在Rt△ABC中,∠C=90°,BC=3,AC=4,那么cosA的值等于( )

8.(4分)(2014?兰州)两圆的半径分别为2cm,3cm,圆心距为2cm,则这两个圆的位置

2

9.(4分)(2014?兰州)若反比例函数

的图象位于第二、四象限,则k的取值可以

10.(4分)(2014?兰州)一元二次方程ax+bx+c=0(a≠0)有两个不相等的实数根,则b

22

11.(4分)(2014?兰州)把抛物线y=﹣2x先向右平移1个单位长度,再向上平移2个单

2

12.(4分)(2014?兰州)如图,在△ABC中,∠ACB=90°,∠ABC=30°,AB=2.将△ABC绕直角顶点C逆时针旋转60°得△A′B′C′,则点B转过的路径长为( )

13.(4分)(2014?兰州)如图,CD是⊙O的直径,弦AB⊥CD于E,连接BC、BD,下列结论中不一定正确的是( )

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