挑战中考英语压轴题.doc

挑战中考英语压轴题

一、词汇。

A)从方框中选择单词并用其正确形式填空。

beat，India，achieve，pardon，quarter

1.To_achieve one’s purpose depends largely upon one’s effort.

2.More and more Indian products have been sold all over the world.

3.Three quarters of the workers in this factory come from the countryside.

4.The music has got strong beats.

5.I beg your pardon?I can’t follow you.

B)根据句意及汉语提示填写单词。

6.She travelled some European countries，including(包括) Italy and Switzerland.

7.The secretary(秘书) masters all the business when he is out.

8.Roses(玫瑰) stand for love.

9.Your kindness(善良) made me feel at home.

10.He is very disappointed(失望)，because he didn’t find the best way to solve the problem.

二、语法填空。

阅读下面短文，按照句子结构的语法性和上下文连贯的要求，在空格处填入一个适当的词或使用括号中词语的正确形式填空。

Mrs.Green has lived in the city for about forty years.She’s very rich

and she has got a lot of money but she never buys anything __11__ for her family and always does all the housework __12__(her).

Last morning，when she got up，she felt terrible.After breakfast she felt even __13__(bad).She found some __14__ and took it.But it was __15__ (useful) to her and she had to go to a hospital.The doctor looked her over and asked her __16__ in hospital，but she refused and went home __17__ foot.As soon as she got home，the telephone rang.She hurried to __18__ it.The doctor told her she __19__ (leave) her wallet in the hospital and a nurse found it.

“Could you tell me her name，please?”asked Mrs.Green.

“Of course，Mrs.Green.Are you going to thank her?” asked the doctor.

“No，no.” The old woman said in a hurry，“I __20__(lose) a wallet in your hospital three years ago.I want to know if she could find it，too.”

11.expensive/dear 12.herself 13.worse 14.medicine

https://www.docsj.com/doc/9612283232.html,eless 16.to_be/stay 17.on 18.answer

19.had_left 20.lost

三、完形填空。

Recently I have just finished my college.My teacher’s last __21__ was called “Smile”.I am a very friendly person.So I thought this would be very __22__.

Soon after my __23__ went out to McDonald’s.We were waiting to be __24__，suddenly everyone around us began to move away，and even my

husband did.There standing behind me were two __25__ men.

As I looked down at the short gentleman with blue eyes，he said，“Good day.”The second man stood behind his friend.I __26__ the second man was mentally disabled(智障) and the __27__ gentleman was his helper.

The assistant asked him what they wanted.

He said，“Coffee is all，Miss.” Because that was all they could __28__.

I smiled and asked the young lady to give me two __29__ breakfast meals on a tray(托盘).I then said to the men，“I did not do this for you.God is here whispering(低声说) me to give you hope.”

When I joined my husband，he smiled at me，saying，“That is __30__ God gave you to me，honey，to give me hope.”

I returned to __31__ and __32__“my project” and the teacher read it.Then she looked up at me and said，“Can I __33__ this with the class?”

I __34__ and she began to read it.Just at that time I realized in my own way I had __35__ the people a t McDonald’s，my husband，sons，teacher，and every person who shared my story in the classroom on the last night that I spent as a college student.

( B )21.A.question B.project

C.class

D.expression

( D )22.A.difficult B.funny

C.important

D.easy

( C )23.A.teacher B.classmates

C.family

D.children

( B )24.A.ordered B.served C.paidD.called ( A )25.A.homeless B.healthy

C.rich

D.strong

( C )26.A.allowed B.suggested

C.realized

D.expected

( B )27.A.brown-eyed B.blue-eyed

C.green-eyed

D.black-eyed

( D )28.A.drink B.want C.take D.afford ( B )29.A.another B.more C.both D.others ( D )30.A.how B.what C.where D.why

( A )31.A.college B.home

C.church

D.McDonald’s

( C )32.A.put up B.handed out

C.handed in

D.put away

( B )33.A.give B.share C.copy D.keep

( D )34.A.turned B.left C.shook D.agreed ( A )35.A.touched B.known

C.forgotten

D.remembered

四、阅读理解。

Imagine a world where air pollution is no longer a problem.Clean air is all around us.People don’t have to worry about polluting the air every time they drive their cars.They no longer need to face the problem of not having enough fuel either.

Although scientists have been trying for many years to develop a new kind of car that does not need gasoline (汽油)，they have been unsuccessful.Recently，however，car engineers have succeeded in creating a new kind of car that runs on gasoline and electricity.This is the famous “hybrid car”.This car gets its name from the fact that it has a gasoline engine (引擎) and an electric motor inside.Hybrid cars do not pollute the environment as much as the cars that are commonly used today.They also cost drivers less money because they need less fuel than ordinary cars.

Hybrid cars are becoming widely popular in the United States.They are soon expected to become widely used around the world.If scientists and engineers continue to work on car development，perhaps the world with clean air that we imagined earlier just might become real in the future.

36.The underlined word “they” in Paragraph (段落) 2 means __D__.

A.cars

B.drivers

C.engines

D.scientists

37.Hybrid cars __D__.

A.increase air pollution

B.run only on electricity

C.have no engines inside

D.need less fuel than ordinary cars

38.The passage tells us that with the development of cars，we may __C__.

A.like electric cars

B.drive cars easily

C.live in the world with clean air

D.understand how hybrid cars work

39.The best title for the passage would be __A__.

A.The Car of the Future

B.The Meaning of Hybrid

C.The Use of Hybrid Cars

D.The Invention of the Car

五、书面表达。

校团委正在举行“畅想未来”的征文活动，请根据提示，以“M y Ideal School Life”为题，写一篇100词左右的短文。

现在未来

至少写两点

现在的情况

1.多彩的校园生活(课外活动……)

2.多样的学习方式(网上学习……)

3.和谐的人际交往(交友互助……)

4.丰富的校外活动(做志愿者……)

要求：

1.所写内容必须包括表格中所有的信息，并作适当的发挥;

2.开头及结尾已给出，不计入总词数;

3.文中不得出现真实的人名、校名、地名等相关信息。

My Ideal School Life

I am a student in Grade 9，]everyone has their own ideal school life.I think my ideal school life is meaningful and colorful.I’m very happy to study in the school.

We have five classes every day.I like all the lessons，because they are very interesting.And we can choose our favorite lessons to learn.At noon，we have an hour’s rest time.During the rest time，we can chat with classmates.

I hope our after-school activities are rich and colourful.We can play many ball games after school every day.There are many organizations and clubs in our school I would like to join.

Doing homework is part of the school life，but the work is not much，and very easy.During my holidays，I want to be a volunteer to help others in need.

This is my ideal school life. I hope my dream will come true some day.

第三部分阅读理解(共20个小题;每小题2分，满分40分)

阅读下列短文，从每题所给的A、B、C、D四个选项中，选出答案，并在答题卡上将该项涂黑。

A

Everyday is afraid of something.

Tommy, 11, is afraid of the dark. Rachel ,11, is most afraid of the big jellyfish (水母)in Australia. Morgan, 9 ,wishes she would stop being afraid to ride a bike on busy streets.

What’s fear ? Fear is a feeling that everyone has, and that’s a good thing because fear is there to protect us . When the fear comes ,it means we may meet something dangerous.

For the fear of dark , a kid could have much imagination .What’s under my bed ? Is there someone

breaking into (闯入)my house ? With the help of a parent , kids can get more comfortable in the dark. Using a night light to see that there’s nothing th ere can also help fight that fear.

For other fears ,we needn’t fight . If you’re afraid to ride your bike on a busy street ,you’re right ! You should be afraid because it’s dangerous. There’s no need to fight a fear like that . Find a better place to ride.

It’s also ok for Rachel to be afraid of the big jellyfish because it’s really dangerous . But it lives only in some waters. So when she’s not swimming in one of them ,there should be no worries about the big

jellyfish.

Here is some advice about fighting fears from kids.

Monique,10, says when you are scared, just think about happy times . Eight-year-old Jessica finds that taking a deep breath helps when you’re scared. Amanda ,10, thinks kids should talk with a parent . Dustin ,11, likes to talk with a group of friends.

【小题1】What is Rachel afraid of ?

A. The dark.

B. Talking with others.

C. The big jellyfish.

D. Riding a bike on busy streets.

【小题2】In Paragraph 4, the writer gives ________ way(s) of helping kids fight the fear of dark.

A. one

B. two

C. three

D. four

【小题3】According to the writer , ________ needs to fight his/her fear.

A. Tommy

B. Rachel

C. Morgan

D. Dustin

【小题4】Which piece of advice is not mentioned about fighting fears ?

A. Talking with others.

B. Taking a deep breath.

C. Thinking about happy times.

D. Regarding fears as challenges.

【答案】

【小题4】细节理解题。根据短文最后一段描述，可知本文提到了三种关于克服恐惧的建议，包括和被人说说，深呼吸和想一些高

兴的事情。没有关于把恐惧当做挑战的描述，故选D。

考点：考查日常生活类阅读

B

Children laugh often and easily . But as we grow up , we laugh less and feel more stressed. Try laughing for no reason at all . That’s how thousands of people start their day at Laughter Clubs around the world , and doctors now think that having a good laugh may be one of the best ways to stay healthy. The first Laughter Club was started in Mumbai ,India ,in June,1995 by Dr Madam Kataria. “ Young children laugh about 300 times a day. Adults laugh between 7 and 15 times a day , ”says Dr Kataria . “Everyone’s naturally good at laughing . We want people to feel happy with their lives .” There are now more than 500 Laughter Clubs in India and over 1,300 worldwide.

Place : 264 North Main Street , East Longmeadow. We’re in an office building near the entrance . Walk down the hall and we’re on the right .

When : Every Sunday afternoon from 3:45 p.m. to 4:45 p.m.

Cost : Free. Donation will be welcomed.

Ages : Adults from 18 to 75.

Parking (停车)：If you’re facing the building ,the car park is on the right of the building .

Teacher : Robert Rivest.

More information ,go to .

If you want to feel like a kid again ,try our Laughter Club . You will get used to it in five minutes and begin to laugh for real in ten minutes and sometimes you just can’t stop! You’ll experience deeper pleasure in half an hour. You’ll meet other people who want more fun and laughter. And you will feel so relaxed in about one hour !

Come and join u s for laughter and a fun social experience!

【小题1】The text is a ______.

A. note

B. report

C. story

D. poster

【小题2】How soon will you start laughing in the Laughter Club ?

A. In five minutes.

B. In ten minutes.

C. In half an hour.

D. In about one hour.

【小题3】The main purpose of Paragraph 1 is to ________.

A. tell people where the first Laughter Club is

B. explain how laugh makes people stay healthy

C. show Laughter Clubs are popular in the world

D. describe the reason why children laugh often and easily

【小题4】Which of the following is true ?

A. When you go out of the Laughter Club ,you should turn left for the car park.

B. You may stay in the Laughter Club for more than one hour.

C. Children can go to the Laughter Club with their parents.

D. You have to donate to join the Laughter Club.

【答案】

考点：考查广告布告类阅读

C

Droughts (干旱)are common in Kenya . Before ,they came every 10 years ,but now they seem to be hitting us more often and for a longer time .

We gave the droughts names :“longoza”was the drought when many animals died ; the re was the drought of the “planes” because food was dropped from the air by planes; and one particularly bad drought was called “ man who dies with his money in his fist (拳头)”，because ,even if there was money , there was simply no food to buy .

I was born in 1951 in Machakos. From what my mother tells me , when I was 7, there was a serious drought . I clearly remember the terrible weather and the hunger. I can’t tell you how many times I went to bed without eating . “ I slept like that ,” is how we desc ribed it . I can’t count the number of days when “ I slept like that,” or describe the feeling of going to sleep hungry ,knowing I’d wake up and there would still be no food for breakfast.

My father would leave early in the morning carrying a little basket to ask for food on credit (赊欠). Each night he would return home around 10:00p.m. My mother would try to encourage me by telling me to keep the water in our pot boiling so that when my father arrived we could

quickly cook any food he brought in the already prepared water . I would keep the fire burning and the water boiling , along with the hopes that we would eat that night. But my father would arrive frustrated and empty -handed. And I would sleep like that.

【小题1】The best title for the text is ________.

A. A Hungry Childhood Caused by Droughts

B. Food and Hunger

C. Protecting the Environment

D. Droughts and Their Names

【小题2】What does the drought of the “ longoza”refer to (指代)?

A. Many animals needed food dropped by planes.

B. People had to eat animals because of hunger.

C. Many animals died because of the droughts.

D. People died of hunger even if they had money.

【小题3】Why would the author keep the fire burning and t he water boiling?

A. To wait for her father to come back to have supper.

B. To cook the food that her father would bring back.

C. To keep her house warm all night.

D. To make her hungry mother happy.

【小题4】The sentence “I slept like that ” means “ ________.”

A. I was disappointed when my father came back empty-handed

B. I felt sorry because my family got hungry again

C. I went to sleep with no food for breakfast.

D. I went to bed with nothing to eat

【答案】

【小题1】A

【小题2】C

D

While we are still children ,most of us live at home with our parents, more or less peacefully . But as we become teenagers , things change ,and we begin to grow apart from our parents . This means we are almost ready to leave the house where we grew u p and make a new home of our own .

All humans must do this ,but they don’t all do it in the same way . If ,for instance ,you belong to a primitive tribe (原始部落) ，then as you grew up ,you’d learn the skills you needed as an adult---how to catch fish ,how to keep the house and look after children . You would be ready to marry in your early teens and you would build a house and live near your family in the village.

This seems a very old way of life , but it is what humans have been used to through hundreds of years. And it is what we are still used to in the 21st century ,for man hasn’t changed in the short time since he became civilized(文明的). But could you leave home and lo ok after

yourself during the teen years ? Most people would not do very well . Why ? Because although man hasn’t changed very much , the society he lives in has changed greatly ,which means that we have to learn more and m ore before we are ready to leave our parents’shelter( 居所) and live alone .

However ,sometimes it is very frustrating to live at parents’home . Parents can be very upset about late nights ,criticizing friends and always saying that we are noisy and dirty . But we still need our emotional (情感的) shelter till we finish our studies , and that is why we usually stay in our parents’home until we feel grown up enough to deal with living alone .

【小题1】When does the relationship with parents start changing ?

A. When we are children.

B. When we become teenagers.

C. When we are alone.

D. When we get married.

【小题2】For most teenagers of the 21st century ,making a new home of their own may be ________.

A. difficult

B. unimportant

C. impossible

D. quite easy

【小题3】Why must we know more to be able to live alone ?

A. Because we are becoming less talented.

B. Because our society has changed a lot.

C. Because not enough is taught in our schools.

D. Because man has never really been civilized.

【小题4】From the passage ,we know living at parents’home when we become teenagers _______.

A. is always pleasant

B. must be very exciting

C. makes us feel lonely

D. may be annoying

【答案】

【小题3】细节理解题。根据第三段Because although man hasn’t changed very much , the society he lives in has changed greatly ,which means that we have to learn more and more before we are ready to leave our parents’shelter( 居所) and live alone . 描述，可知是因为人虽然没有变，但是我们的社会已经改变了。故选B。

【小题4】细节理解题。根据短文最后一段描述，可知当我们长大后还住在父母的家里面会很令人烦恼。故选D。

E

By the time Rihanna was seventeen ,she had released (发行) her first album and had an

international hit with her first single (单曲) Pon de Replay.

Rihanna was born in Saint Michael , Barbados in 1988 . She grew up there with her two younger brothers . As a child , she loved singing . She formed her first group with frie nds from secondary school when she was just fifteen . In 2004 friends introduced the group to American record producer Evan Rogers ,who was on holiday in Barbados . Rogers thought Rihanna could be a star in America,so she moved there aged sixteen to

take up music after she finished school. Rihhanna lived with Rogers and his wife . Then she worked for Def Jam Recordings and started working on her first album , Music of the Sun .It came out at in 2005 and got into the top ten . Over 69,000 copies of the album were sold in the first week alone . It went on to sell over two million copies worldwide and Rihanna quickly became a big star . Her second album , A Girl Like Me ,came out a year later and included the song SOS , which was her first number one hit in America. In 2007 Rihanna brought out her third album , Good Girl Gone Bad ,which had more dance music than the first two albums.

Rihanna sold more than fifteen million album and forty - five million singles worldwide between 2005 and 2010 ,the most of any artist at the same time . However ,she manages to find time for her charity work ,too . She has performed in several concerts to raise money for charity and in 2006 she created her Believe Foundation to help sick children . She also took part in Gucci’s activities to raise money for children in Africa.

【小题1】What had Rihanna released before she was seventeen ?

A. An al bum but no singles.

B. A single but not an album.

C. An album and at least one single.

D. Two album and a single Pon de Replay.

【小题2】Why did Rihanna move to America ?

A. To try to become a famous singer.

B. To form her first music group.

C. To meet the record producer Evan Rogers.

D. To record her album ,A Gir l Like Me ,with the help of Rogers.

【小题3】Which is true about Rihanna’s first album ?

A. It included her first number one hit in the US.

B. It sold69,000 copies in total.

C. It made Rihanna a star.

D. It came out before she finished school.

【小题4】It can be learnt from the text that Rihanna ______.

A. Wants to start a charity to help sick children

B. Has helped to raise money for African children

C. Has organized some concerts to raise money for charity

D. Is producing another album for her Believe Foundation

【答案】

阅读下面短文，根据短文内容完成71—75题(请注意各问题后的字数要求)。

Car Free Day encourages drivers to give up their cars for a day to protect the environment . People from around the world get together in the streets to remind the world that we don’t have to accept the society full of cars . It was first started by 34 cities in France and September 22 is Car Free Day . The first Car Free Day in China was in Chengdu in 2001. The slogan for the day is “If we drive for one less day , we can have one

more nice day .”

Organized activities are held in many cities on Car Free Day . In B russels, Car Free Day shall be valid (有效的)for everybody except persons with a special permit (许可证)，but they have to slow down to the speed of 30 kil ometers per hour . The public transportation is free on that day. In London, they have sp ecial “green areas”.Walking, biking, and public transportation are encouraged. The streets are open only to walkers ,bicycles and buses from 7:00a.m. to 7:00 p.m. In Beijing , it asks drivers to leave their cars at home for one day each month and walk or ride a bike to work . More and more people are joining in the activity. In the first quarter of this year ,Beijing only had 52 blue sky days , and you may see haze(雾霾) almost every day ! We must do more for Car Free Day as a Beijing driver said ,

中考数学中二次函数压轴题分类总结

中考数学中二次函数压 轴题分类总结 Company number：【WTUT-WT88Y-W8BBGB-BWYTT-19998】

二次函数的压轴题分类复习 一、抛物线关于三角形面积问题 例题 二次函数k m x y ++=2)(的图象，其顶点坐标为M(1，4-). （1）求出图象与x 轴的交点A ，B 的坐标； （2）在二次函数的图象上是否存在点P ，使MAB PAB S S ??=4 5 ,若存在，求出P 点的坐标；若不存在，请说明理由； （3）将二次函数的图象在x 轴下方的部分沿x 轴翻折，图象的其余部分保持不变，得到一个新的图象，请你结合这个新的图象回答：当直线)1(<+=b b x y 与此图象有两个公共点时，b 的取值范围. 练习： 1. 如图．平面直角坐标系xOy 中，点A 的坐标为（－2，2），点B 的坐标为（6，6），抛物线经过A 、O 、B 三点，线段AB 交y 轴与点E ． （1）求点E 的坐标； （2）求抛物线的函数解析式； （3）点F 为线段OB 上的一个动点（不与O 、B 重合），直线EF 与抛物线交与M 、N 两点（点N 在y 轴右侧），连结ON 、BN ，当点F 在线段OB 上运动时，求?BON 的面积的最大值，并求 出此时点N 的坐标； 2. 如图，已知抛物线42 12++-=x x y 交x 轴的正半轴于点A ，交y 轴于点B ． （1）求A 、B 两点的坐标，并求直线AB 的解析式； （2）设),(y x P （0>x ）是直线x y =上的一点，Q 是OP 的中点（O 是原点），以PQ 为对角线作 正方形PEQF ．若正方形PEQF 与直线AB 有公共点，求x 的取值范围； （3）在（2）的条件下，记正方形PEQF 与△OAB 公共部分的面积为S ，求S 关于x 的函数解析式，并探究S 的最大值． y x O B N A M E F B y

2020年版挑战中考数学压轴题详解(115页)

目录 第一部分函数图象中点的存在性问题 1.1 因动点产生的相似三角形问题 例1 上海市中考第24题 例2 苏州市中考第29题 例3 黄冈市中考第25题 例4 义乌市中考第24题 例5 临沂市中考第26题 例6 苏州市中考第29题 1.2 因动点产生的等腰三角形问题 例1 上海市虹口区中考模拟第25题 例2 扬州市中考第27题 例3 临沂市中考第26题 例4 湖州市中考第24题 例5 盐城市中考第28题 例6 南通市中考第27题 例7 江西省中考第25题 1.3 因动点产生的直角三角形问题 例1 山西省中考第26题 例2 广州市中考第24题 例3 杭州市中考第22题 例4 浙江省中考第23题 例5 北京市中考第24题 例6 嘉兴市中考第24题 例7 河南省中考第23题 1.4 因动点产生的平行四边形问题 例1 上海市松江区中考模拟第24题 例2 福州市中考第21题 例3 烟台市中考第26题 例4 上海市中考第24题 例5 江西省中考第24题 例6 山西省中考第26题 例7 江西省中考第24题 1.5 因动点产生的梯形问题 例1 上海市松江中考模拟第24题 例2 衢州市中考第24题 例4 义乌市中考第24题

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2014挑战中考数学压轴题1.1因动点产生的相似三角形问题

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设y ＝ax (x －2)，代入点A (1-，可得 a = 图2 所以抛物线的表达式为2(2)333 y x x x x = -=-． （2）由221)y x x = =- 得抛物线的顶点M 的坐标为(1,．所以tan BOM ∠= ． 所以∠BOM ＝30°．所以∠AOM ＝150°． （3）由A (1-、B (2,0)、M (1,)3 - ， 得tan ABO ∠，AB =OM = 所以∠ABO ＝30°， OA OM = 因此当点C 在点B 右侧时，∠ABC ＝∠AOM ＝150°． △ABC 与△AOM 相似，存在两种情况： ①如图3，当 BA OA BC OM ==时，2BC ===．此时C (4,0)． ②如图4，当 BC OA BA OM ==时，6BC ===．此时C (8,0)． 图3 图4 考点伸展 在本题情境下，如果△ABC 与△BOM 相似，求点C 的坐标． 如图5，因为△BOM 是30°底角的等腰三角形，∠ABO ＝30°，因此△ABC 也是底角为30°的等腰三角形，AB ＝AC ，根据对称性，点C 的坐标为(－4,0)．

2017挑战中考数学压轴题(第七版精选)

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3.如图1，已知抛物线的方程C1： 1 (2)() y x x m m =-+-(m＞0)与x轴交于点B、C，与y 轴交于点E，且点B在点C的左侧． （1）若抛物线C1过点M(2, 2)，求实数m的值； （2）在（1）的条件下，求△BCE的面积； （3）在（1）的条件下，在抛物线的对称轴上找一点H，使得BH＋EH最小，求出点H的坐标； （4）在第四象限内，抛物线C1上是否存在点F，使得以点B、C、F为顶点的三角形与△BCE相似？若存在，求m的值；若不存在，请说明理由． 图1 4.如图1，已知梯形OABC，抛物线分别过点O（0，0）、A（2，0）、B（6，3）． （1）直接写出抛物线的对称轴、解析式及顶点M的坐标； （2）将图1中梯形OABC的上下底边所在的直线OA、CB以相同的速度同时向上平移，分别交抛物线于点O1、A1、C1、B1，得到如图2的梯形O1A1B1C1．设梯形O1A1B1C1的面积为S，A1、B1的坐标分别为(x1，y1)、(x2，y2)．用含S的代数式表示x2－x1，并求出当S=36时点A1的坐标； （3）在图1中，设点D的坐标为(1，3)，动点P从点B出发，以每秒1个单位长度的速度沿着线段BC运动，动点Q从点D出发，以与点P相同的速度沿着线段DM运动．P、Q两点同时出发，当点Q到达点M时，P、Q两点同时停止运动．设P、Q两点的运动时间为t，是否存在某一时刻t，使得直线PQ、直线AB、x轴围成的三角形与直线PQ、直线AB、抛物线的对称轴围成的三角形相似？若存在，请求出t的值；若不存在，请说明理由． 图1 图2

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故直线BC的解析式：y=﹣x+3． 已知点M的横坐标为m，MN∥y，则M（m，﹣m+3）、N（m，﹣m2+2m+3）； ∴故MN=﹣m2+2m+3﹣（﹣m+3）=﹣m2+3m（0＜m＜3）． （3）如图； ∵S△BNC=S△MNC+S△MNB=MN（OD+DB）=MN?OB， ∴S△BNC=（﹣m2+3m）?3=﹣（m﹣）2+（0＜m＜3）； ∴当m=时，△BNC的面积最大，最大值为． 2．如图，抛物线的图象与x轴交于A、B两点，与y轴交于C点，已知B点坐标为（4，0）． （1）求抛物线的解析式； （2）试探究△ABC的外接圆的圆心位置，并求出圆心坐标； （3）若点M是线段BC下方的抛物线上一点，求△MBC的面积的最大值，并求出此时M点的坐标． 解答：

解：（1）将B（4，0）代入抛物线的解析式中，得： 0=16a﹣×4﹣2，即：a=； ∴抛物线的解析式为：y=x2﹣x﹣2． （2）由（1）的函数解析式可求得：A（﹣1，0）、C（0，﹣2）； ∴OA=1，OC=2，OB=4， 即：OC2=OA?OB，又：OC⊥AB， ∴△OAC∽△OCB，得：∠OCA=∠OBC； ∴∠ACB=∠OCA+∠OCB=∠OBC+∠OCB=90°， ∴△ABC为直角三角形，AB为△ABC外接圆的直径； 所以该外接圆的圆心为AB的中点，且坐标为：（，0）． （3）已求得：B（4，0）、C（0，﹣2），可得直线BC的解析式为：y=x﹣2； 设直线l∥BC，则该直线的解析式可表示为：y=x+b，当直线l与抛物线只有一个交点时，可列方程：x+b=x2﹣x﹣2，即：x2﹣2x﹣2﹣b=0，且△=0； ∴4﹣4×（﹣2﹣b）=0，即b=﹣4； ∴直线l：y=x﹣4． 所以点M即直线l和抛物线的唯一交点，有： ，解得：即M（2，﹣3）． 过M点作MN⊥x轴于N， S△BMC=S梯形OCMN+S△MNB﹣S△OCB=×2×（2+3）+×2×3﹣×2×4=4．

2020年中考数学挑战压轴题(含答案)

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3．如图，在平面直角坐标系xOy中，直线AB过点A（3，0）、B（0，m）（m＞0），tan∠BAO=2． （1）求直线AB的表达式； （2）反比例函数y=的图象与直线AB交于第一象限内的C、D两点（BD＜BC），当AD=2DB时，求k1的值； （3）设线段AB的中点为E，过点E作x轴的垂线，垂足为点M，交反比例函数y=的图象于点F，分别联结OE、OF，当△OEF∽△OBE时，请直接写出满足条件的所有k2的值． 4．如图，在Rt△ABC中，∠ACB=90°，AC=1，BC=7，点D是边CA延长线的一点，AE⊥BD，垂足为点E，AE的延长线交CA的平行线BF于点F，连结CE交AB于点G． （1）当点E是BD的中点时，求tan∠AFB的值； （2）CE?AF的值是否随线段AD长度的改变而变化？如果不变，求出CE?AF的值；如果变化，请说明理由； （3）当△BGE和△BAF相似时，求线段AF的长．

挑战中考数学压轴题(第九版精选)(2016版)

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解析：选A.此题容易误选B. class, family, team等单词如果表示整体谓语就用单数，表示个体就用复数，从语境及其后面的代词them可以看出，class表示个体，故选择A。 ( ) 4. We will have a _________ holiday after the exam. A. two month B. two-month C. two month’s D. two-months 解析：选择B.此题容易误选C,D.在英语中数词中间用连字符号加名词单数，构成符合名词，在句中只能作定语，如果选择C,需要把逗号放s后面。 ( ) 5. There is no enough ________ on the corner to put the table.A. place B. room C. floor D. ground 解析：选B.此题最容易误选A.。room在句中是空间而非房间。句意：角落里没有摆桌子的空间了。 ( ) 6. We can have _____ blue sky if we create _____ less polluted world.A. a; a B. a; the C. the; a D. the; the 解析：选A.此题容易误选C, D.根据句意：如果我们创造一个没有污染的世界，那么我们就用一个蓝色的天空。 ( ) 7.—Are you ________ American or English?

二次函数与几何综合(有答案)中考数学压轴题必做(经典)

二次函数与几何综合
题目背景
07 年课改后，最后一题普遍为抛物线和几何结合（主要是与三角形结合）的 代数几何综合题，计算量较大。几何题可能想很久都不能动笔，而代数题则可以 想到哪里写到哪里，这就让很多考生能够拿到一些步骤分。因此，课改之后，武 汉市数学中考最后一题相对来说要比以前简单不少，而这也符合教育部要求给学 生减轻负担的主旨，因此也会继续下去。要做好这最后一题，主要是要在有限的 时间里面找到的简便的计算方法。要做到这一点，一是要加强本身的观察力，二 是需要在平时要多积累一些好的算法，并能够熟练运用，最后就是培养计算的耐 心，做到计算又快又准。
题型分析
题目分析及对考生要求 （1）第一问通常为求点坐标、解析式：本小问要求学生能够熟练地掌握待定系 数法求函数解析式，属于送分题。 （2）第二问为代数几何综合题，题型不固定。解题偏代数，要求学生能够熟练 掌握函数的平移，左加右减，上加下减。要求学生有较好的计算能力，能够把题 目中所给的几何信息进行转化，得到相应的点坐标，再进行相应的代数计算。 （3）第三问为几何代数综合，题型不固定。解题偏几何，要求学生能够对题目 所给条件进行转化，合理设参数，将点坐标转化为相应的线段长，再根据题目条 件合理构造相似、全等，或者利用锐角三角函数，将这些线段与题目构建起联系， 再进行相应计算求解，此处要求学生能够熟练运用韦达定理，本小问综合性较强。
在我们解题时，往往有一些几何条件，我们直接在坐标系中话不是很好用， 这时我们需要对它进行相应的条件转化，变成方便我们使用的条件，以下为两种 常见的条件转化思想。 1、遇到面积条件：a.不规则图形先进行分割，变成规则的图形面积；b.在第一 步变化后仍不是很好使用时，根据同底等高，或者等底同高的三角形面积相等这 一性质，将面积进行转化；c.当面积转化为一边与坐标轴平行时，以这条边为底， 根据面积公式转化为线段条件。 2、遇到角度条件：找到所有与这些角相等的角，以这些角为基础构造相似、全 等或者利用锐角三角函数，转化为线段条件。
二次函数与三角形综合
【例1】. （2012 武汉中考）如图 1，点 A 为抛物线 C1：y= x2﹣2 的顶点，点 B 的坐标为（1，
0）直线 AB 交抛物线 C1 于另一点 C

2017年挑战中考数学压轴题(全套)

第一部分函数图象中点的存在性问题 §1．1 因动点产生的相似三角形问题§1．2 因动点产生的等腰三角形问题§1．3 因动点产生的直角三角形问题§1．4 因动点产生的平行四边形问题§1．5 因动点产生的面积问题§1．6因动点产生的相切问题§1．7因动点产生的线段和差问题 第二部分图形运动中的函数关系问题 §2．1 由比例线段产生的函数关系问题 第三部分图形运动中的计算说理问题 §3．1 代数计算及通过代数计算进行说理问题 §3．2 几何证明及通过几何计算进行说理问题 第四部分图形的平移、翻折与旋转 §4．1 图形的平移§4．2 图形的翻折§4．3 图形的旋转§4．4三角形§4．5 四边形§4．6 圆§4．7函数的图象及性质§1．1 因动点产生的相似三角形问题 课前导学相似三角形的判定定理有3个，其中判定定理1和判定定理2都有对应角相等的条件，因此探求两个三角形相似的动态问题，一般情况下首先寻找一组对应角相等．判定定理2是最常用的解题依据，一般分三步：寻找一组等角，分两种情况列比例方程，解方程并检验．如果已知∠A＝∠D，探求△ABC与△DEF相似，只要把夹∠A和∠D的两 边表示出来，按照对应边成比例，分AB DE AC DF =和 AB DF AC DE =两种情况列方程． 应用判定定理1解题，先寻找一组等角，再分两种情况讨论另外两组对应角相等． 应用判定定理3解题不多见，根据三边对应成比例列连比式解方程（组）． 还有一种情况，讨论两个直角三角形相似，如果一组锐角相等，其中一个直角三角形的锐角三角比是确定的，那么就转化为讨论另一个三角形是直角三角形的问题．求线段的长，要用到两点间的距离公式，而这个公式容易记错．理解记忆比较好． 如图1，如果已知A、B两点的坐标，怎样求A、B两点间的距离呢？ 我们以AB为斜边构造直角三角形，直角边与坐标轴平行，这样用勾股定理就可以求斜边AB的长了．水平距离BC的长就是A、B两点间的水平距离，等于A、B两点的横坐标相减；竖直距离AC就是A、B两点间的竖直距离，等于A、B两点的纵坐标相减． 图1 图1 图2 例 1 湖南省衡阳市中考第28题 二次函数y＝a x2＋b x＋c（a≠0）的图象与x轴交于A(－3, 0)、B(1, 0)两点，与y轴交于点C(0,－3m)（m＞0），顶点为D．（1）求该二次函数的解析式（系数用含m的代数式表示）； （2）如图1，当m＝2时，点P为第三象限内抛物线上的一个动点，设△APC的面积为S，试求出S与点P的横坐标x之间的函数关系式及S的最大值； （3）如图2，当m取何值时，以A、D、C三点为顶点的三角形与△OBC相似？

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2018年中考数学二次函数压轴题集锦(50道含解析)

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（3）在（2）中，PH+HF+FO取得最小值时，将△CFH绕点C顺时针旋转60°后得到△CF′H′，过点F'作CF′的垂线与直线AB交于点Q，点R为抛物线对称轴上的一点，在平面直角坐标系中是否存在点S，使以点D，Q，R，S为顶点的四边形为菱形，若存在，请直接写出点S的坐标，若不存在，请说明理由． 4．如图，抛物线y=ax2+6x+c交x轴于A，B两点，交y轴于点C．直线y=x﹣5经过点B，C． （1）求抛物线的解析式； （2）过点A的直线交直线BC于点M． ①当AM⊥BC时，过抛物线上一动点P（不与点B，C重合），作直线AM的平行线交直线BC于点Q，若以点A，M，P，Q为顶点的四边形是平行四边形，求点P的横坐标； ②连接AC，当直线AM与直线BC的夹角等于∠ACB的2倍时，请直接写出点M 的坐标．

中考英语现在进行时中考压轴题分类汇编(1)

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中考英语单选120道压轴题(试题+答案+解析)

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