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試題詳情

鞍山市2009年高三畢業班第二次質量調查   學科網(Zxxk.Com)學科網

    本試卷分第一卷 (選擇題)和第二卷(非選擇題)。總分150分,考試時間為120學科網(Zxxk.Com)學科網

分鐘?忌垖⒋鸢复鹪诖痤}卡上,在本試卷上答題無效?荚嚱Y束后,將本試卷和答題卡一并交回。學科網(Zxxk.Com)學科網

第一部分:聽力(共兩節,每小題1.5, 滿分30分)學科網(Zxxk.Com)學科網

第一節 (共5小題;每小題1.5分,滿分7.5分)學科網(Zxxk.Com)學科網

 聽下列5段對話,每段對話后有一個小題,從題中所給的A,B,C三個選項中選出最佳選項,并標在試卷的相應位置。聽完每段對話后,你都有10秒鐘的時間來回答有關小題和閱讀下一個小題。每段對話僅讀一遍。學科網(Zxxk.Com)學科網

1.           How much was the driver`s tip?學科網(Zxxk.Com)學科網

A.$3.5                   B.$0.5                   C.$1.5學科網(Zxxk.Com)學科網

2. What does the woman mean?學科網(Zxxk.Com)學科網

A. She definitely wants to know about the meeting.學科網(Zxxk.Com)學科網

B. She would like to let him know about the next meeting.學科網(Zxxk.Com)學科網

C. She will give him a call to ask about the next meeting.學科網(Zxxk.Com)學科網

3. Where does the conversation take place?學科網(Zxxk.Com)學科網

       A.At a hairdresser`s       B. At a tailor`s                     C.At a photographer`s學科網(Zxxk.Com)學科網

4. What does the woman mean?學科網(Zxxk.Com)學科網

       A.Jack has been on the paper for several days.學科網(Zxxk.Com)學科網

       B.Jack is working hard on the paper.學科網(Zxxk.Com)學科網

       C.He works only during the day.學科網(Zxxk.Com)學科網

5. What does the woman mean?學科網(Zxxk.Com)學科網

       A.The paper must be handed in on time.學科網(Zxxk.Com)學科網

       B.His request was made too late.學科網(Zxxk.Com)學科網

       C.The paper can be handed in a few days late.學科網(Zxxk.Com)學科網

第二節(共15小題每小題1.5分,滿分22.5分)學科網(Zxxk.Com)學科網

聽下面5段對話或獨白。每段對話或獨白后有幾個小題,從題中所給的A、B、C三個選項中選出最佳選項,并標在試卷的相應位置。聽每段對話或獨白前,你將有時間閱讀各個小題,每小題5秒鐘;聽完后,各小題將給出5秒鐘的作答時間。每段對話或獨白讀兩遍。學科網(Zxxk.Com)學科網

聽下面一段對話,回答第6至8兩個小題,F在,你有15秒鐘的時間閱讀這三個小題。學科網(Zxxk.Com)學科網

6.Why is the man going to the States?學科網(Zxxk.Com)學科網

       A.to visit places of interest學科網(Zxxk.Com)學科網

       B.to visit his friends學科網(Zxxk.Com)學科網

                                                                                           學科網(Zxxk.Com)學科網

C.to attend a conference學科網(Zxxk.Com)學科網

7.When will the man leave for American?學科網(Zxxk.Com)學科網

       A.in two weeks             B.in mid-January          C.on January 10th學科網(Zxxk.Com)學科網

8.What is the man?學科網(Zxxk.Com)學科網

       A.a scientist                  B.a writer                            C.a traveler學科網(Zxxk.Com)學科網

聽下面一段對話,回答第9至10兩個小題,F在,你有15秒鐘的時間閱讀這三個小題。學科網(Zxxk.Com)學科網

9.Which month is it most likely now?學科網(Zxxk.Com)學科網

       A.January                     B.March                       C.June學科網(Zxxk.Com)學科網

10.Which season was the best season last year?學科網(Zxxk.Com)學科網

       A.Spring                      B.Summer                    C.Autumn學科網(Zxxk.Com)學科網

聽下面一段對話,回答第11至13兩個小題,F在,你有15秒鐘的時間閱讀這三個小題。學科網(Zxxk.Com)學科網

11.What are the man and the woman doing?學科網(Zxxk.Com)學科網

       A.They are climbing the mountain.學科網(Zxxk.Com)學科網

       B.They are playing basketball.學科網(Zxxk.Com)學科網

       C.They are going down hill.學科網(Zxxk.Com)學科網

12.What happened to the man?學科網(Zxxk.Com)學科網

       A.He has sprained(扭傷) his left ankle(腳踝).學科網(Zxxk.Com)學科網

       B.He has sprained his right ankle.學科網(Zxxk.Com)學科網

       C.He has sprained his waist.學科網(Zxxk.Com)學科網

13.What is the woman`s message?學科網(Zxxk.Com)學科網

       A.be relaxed                 B.stop walking and relax                     C.sit down and rest學科網(Zxxk.Com)學科網

聽下面一段對話,回答第14至17三小題,F在,你有15秒鐘的時間閱讀這三個小題。學科網(Zxxk.Com)學科網

14.Why does the woman refuse to exchange the shoes for the man?學科網(Zxxk.Com)學科網

       A.The man has kept the shoes for a week.學科網(Zxxk.Com)學科網

       B.The man had no receipt for the shoes.學科網(Zxxk.Com)學科網

       C.There is a sign reading no exchange after the shoes are sold.學科網(Zxxk.Com)學科網

15.What causes the woman to turn down refunding(退還) the man?學科網(Zxxk.Com)學科網

       A.her manager`s order          學科網(Zxxk.Com)學科網

B.her unknowing the price           學科網(Zxxk.Com)學科網

C.her unknowing whose fault it is學科網(Zxxk.Com)學科網

16.Why does the man think it isn`t his fault?學科網(Zxxk.Com)學科網

       A.because the shoes must be made badly學科網(Zxxk.Com)學科網

       B.because the shoes must have been used before he bought them.學科網(Zxxk.Com)學科網

       C.because he just wore the shoes for one time and then they were broken.學科網(Zxxk.Com)學科網

17.When did the man buy that pair of shoes?學科網(Zxxk.Com)學科網

       A.last week                   B.last weekend                     C.yesterday學科網(Zxxk.Com)學科網

聽下面一段對話,回答第18至20三個小題,F在,你有15秒鐘的時間閱讀這三個小題。學科網(Zxxk.Com)學科網

18.What does the passage talk about?學科網(Zxxk.Com)學科網

       A.selling a house                  B.doing housework               C.losing a job學科網(Zxxk.Com)學科網

19.Why did the speaker sell her house?學科網(Zxxk.Com)學科網

       A.Her husand had got a higher position.學科網(Zxxk.Com)學科網

       B.Her husband had lost his job.學科網(Zxxk.Com)學科網

       C.She wanted to have a cleaner house.學科網(Zxxk.Com)學科網

20.Why did the agent call on the speaker so early in the morning?學科網(Zxxk.Com)學科網

       A.His telephone went out of order.學科網(Zxxk.Com)學科網

       B.The buyers had to leave soon.學科網(Zxxk.Com)學科網

       C.He began to work at 8 a.m.學科網(Zxxk.Com)學科網

學科網(Zxxk.Com)學科網

第二部分:英語知識運用(共兩節,滿分45分)學科網(Zxxk.Com)學科網

第一節:單項填空(共15小題;每小題1分,滿分15分)學科網(Zxxk.Com)學科網

21.Journalism is described as __________science of searching, recording, and reporting_________ important events.   學科網(Zxxk.Com)學科網

A. a;the                          B. a; /              C. /; /            D. /;the學科網(Zxxk.Com)學科網

22.The teacher thought his students needed more practice and learning skills _______ much homework.  學科網(Zxxk.Com)學科網

A. other than                     B. rather than                C. more than          D. in place of學科網(Zxxk.Com)學科網

23.We are given a three-day holiday for May Day, but Harry is given ________ for his excellent work as a reward. That is, he has a six days’ holiday.  學科網(Zxxk.Com)學科網

       A. another three day      B. other three days     C. three more days  D. three days學科網(Zxxk.Com)學科網

24. The prices of many kinds of the computers ______ quickly these days.  學科網(Zxxk.Com)學科網

A. are raising               B. rises                       C. raise                 D. are going up學科網(Zxxk.Com)學科網

25.The child, who was believed ___ by a tiger, was found in a forest. 學科網(Zxxk.Com)學科網

A. to be killed        B. having killed     C. to have been killed       D. to be killing學科網(Zxxk.Com)學科網

26.When I was having my holiday abroad, those children kept quarrelling and _______ my fun.   學科網(Zxxk.Com)學科網

A. destroyed          B. damaged             C. injured                        D. spoiled學科網(Zxxk.Com)學科網

27.________ I met him, he was working as a secretary in a big company.  學科網(Zxxk.Com)學科網

A.For the first time                    B. The first time學科網(Zxxk.Com)學科網

C. The first time when                           D. When the first time學科網(Zxxk.Com)學科網

28.If the person        agrees,we sometimes use small recorders to make sure that we get all our facts straight.  學科網(Zxxk.Com)學科網

 A.interviewed    B.being interviewed  C.interviewing   D.to be interviewed學科網(Zxxk.Com)學科網

29.―Sam, it's too late. Our daughter ________ be back.  學科網(Zxxk.Com)學科網

―Don't be anxious. I dare say she ________ have some extra work to do. 學科網(Zxxk.Com)學科網

A. can; must       B. will; might        C. should; must       D. must; may 學科網(Zxxk.Com)學科網

30. Mary’s gold ring _______ from her mother as a gift for her wedding. 學科網(Zxxk.Com)學科網

       A. came from        B. came into               C. came down               D. came over

31. ______ production up by 40% , the company is certain to earn a lot this year.  

    A  As            B  For            C  With             D  Though

32.― ______ was ________ they were going to San Francisco? 

―Next week.

A. What; it that     B. It; what           C. When; that        D. When; it that

33.―Well, where is my watch?  

―_______! We just have two minutes left.

 A. Take your time   B. Come on         C. Don't worry       D. Take it easy

34. The old farmer has two sons, _________has got a job in the town and refused to do farming.

     A.each of whom    B.both of who       C.all of them         D. each of them

35. _______ has been done to prevent the factories from polluting the river, it remains a serious problem.   

        A. Though that      B. What                    C. Though what           D. Despite what

 

第二節:完形填空(共20小題;每小題1.5分,滿分30分)

A weak old man went to live with his son,daughter-in-law, and four-year-old grandson. The family ate together at the table. But, the elderly grandfather`s  36  hands and failing sight made   37   difficult. Peas rolled off his spoon and food  38  onto the floor. When he held a glass, with his shaky hands, milk  39  on the tablecloth. His son and daughter-in-law became angry about the  40  .So, they put a small  41  in the corner. There Grandfather ate  42  , while the rest of the family enjoyed dinner together.  43  Grandfather had broken a dish or two, his food was served in a  44  bowl. When the family  45  in Grandfather`s direction, sometimes the old man had tears in his eyes.  46  ,the only words the couple had for him were  47  warnings, when he  48  a fork or spilt food. The four-year-old grandson watched it all in  49  .

  One evening, before supper, the father noticed his son playing with wood pieces on the floor. He asked the child  50  , “What are you making?” Just as sweetly, the boy responded, “Oh, I am making little  51  for you and Mama to eat your food from when I grow up.” The four-year-old son smiled and went back to work.

  The words so  52  the parents that they were speechless. Then tears started to stream down their cheeks. That evening, the husband took Grandfather`s hand and  53  led him back to the family table, and for rest of his  54  , he ate every meal with the family. And, for some reason, neither husband nor wife seemed to  55  any longer when a fork was dropped, or milk spilt.

 

36. A. shaky                B.rough            C. tough           D. large   

37. A. talking                     B.sleeping          C.eating                D.walking 

38.   A.spread                B.rained                C.lay                     D.covered 

39.   A.fell                    B.poured               C.flowed               D.spilt    

40.   A.trouble               B.mess                  C.scene                 D.action   

41.   A.chair                  B.bench                 C.bed                    D.table    

42.   A.alone                 B.slowly                C.carefully            D.little    

43.   A.Though              B.Because              C.While                D.Once  

44.   A.glass                  B.iron                   C.golden               D.wooden 

45.   A.glanced              B.turned                C.moved               D.pointed  

46.   A.Then                  B.Therefore           C.Besides              D.However     

47.   A.valuable             B.sharp                 C.useless               D.high     

48.   A.broke                 B.brought              C.dropped             D.touched  

49.   A.silence               B.joy                    C.amusement         D.disappointing 

50.   A.curiously            B.quietly               C.angrily               D.sweetly    

51.   A.boxes                 B.bowls                 C.tools                  D.toys   

52.   A.puzzled              B.moved               C.struck                D.frightened  

53.   A.gently                B.quickly                     C.actually              D.happily  

54.   A.meal                  B.days                   C.stay                   D.belongings  

55.   A.worry                B.notice                C.shout                 D.care  

 

第三部分:閱讀理解(共20小題;每小題2分,滿分40分)

第一節 (共15小題;每小題2分,滿分30分)

A

  A man accused of failing to return more than 700 children’s books to five different libraries in the county was released(釋放) from prison after a book publisher agreed to post his bond(保釋金)of $1,000.The publisher said.“There’s a story here.This is a man who loves books.He just can’t let go of them.He hasn’t stolen a single book.So what’s the crime ? We think that Mr Banish has story to tell.We plan to publish his story.”  

When asked why he didn’t return the books. Mr Banish said,”Well,how could I ? They became family to me.I was afraid to return them,because I knew that kids or dogs would get hold of these books and chew them up,throw them around,tear the pages,spill soda on them,get jelly and jelly on them,and drown them in the toilet.

  He continued,“Books are people,too! They talk to you,they take care of you,and they enrich you with wisdom,humor and love.A book is a guest in my home.How could I kick it out? I repaired torn pages.I dusted them with a soft clean cloth.I turned their pages so they could breathe and get some fresh air.”

  “Every week I recognized them on their shelves so they could meet new friends,My books were HAPPY books.You could tell just by looking at them.Now they’re all back in the libraries,on the lower shelves,on the floors,at the mercy of all those runny-nosed kids I can hear them calling me.I need to rescue them.Excuse me.I have to go now.”

56.Why was the man put into prison? 

  A.Because the book publisher persuaded the police to do so.

  B.Because he stole 700 children’s books from the five different libraries.

  C.Because he refused to return the books that he had borrowed.

  D.Because he wanted to publish his story.

57.How did the man treat books?  

  A.He treated them as his family.

  B.He treated them as his own children.

  C.He treated them as his furniture.

  D.He treated them as his job .

58.What might happen after the man was set free? 

  A.He might stop borrowing books.

  B.He might start a library of his own.

  C.He might go on borrowing books from libraries.

  D.He might return all his books.

59.What is mainly talked about in this passage?  

  A.A funny thief who loves stealing books.

  B.A person who refuses to return borrowed books and wants to look after them.

  C.A person who is crazy about books so he keeps stealing them from the library.

  D.A person who may have some mental problems.

B

Special trees that grow faster, fight pollution, produce better wood, and even sense chemical attacks are being planted by scientists in the US.

    When 40 percent of Hawaii's US$14 million-a-year papaya (木瓜)industry was destroyed by a virus five years ago, work began on creating genetically engineered (轉基因的) trees.

    Researchers successfully introduced seeds that were designed to resist the virus. Since then, more and more people have been testing genetically engineered trees.

    Some researchers put special bacteria into trees to help them grow faster and produce better wood. Others are trying to create trees that can clean polluted soil.

    Meanwhile fruit farmers are looking for trees that are strong enough to resist worms, and paper companies want trees that produce more wood and therefore more paper.

     The Pentagon (五角大樓) even gave the researchers US$500,000 this year after they developed a pine tree that changes its colours if it senses a chemical attack.

     So far, the poplar, eucalyptus (楊樹與桉樹), apple and coffee trees are among those being engineered. All this can be done today because we have a better understanding of tree genomes (基因組).

     However, some people fear that the genetically engineered trees will cause dangerous results. They are worried that the new trees will breed (繁殖)with natural species and change the balance of the forest environment.

     "It could be destructive," said Jim Diamond, an environmentalist. '"Trees are what is left of our natural environment and home to many endangered species."

    But researchers insist that science could give nature a fighting chance against both natural and man-made dangers.

    They hope to answer the critics (批評家)by stopping the new trees from breeding, so their effect on the environment can be controlled.

60. Which kind of tree is not the ones that scientists are planting in the US?                               

A. Trees that worms can't hurt.

B. Trees that can sense a chemical attack.

C. Trees that can resist wind better.

D. Genetically engineered trees.

61. What caused the American scientists to work on special trees directly? 

A. They think science could give nature a fighting chance against both natural and man-made dangers.

B. Great numbers of trees have been lost due to attacks by viruses.

C. Researchers successfully introduced seeds designed to resist the virus.

D. Tree genomes are mapped out so scientists know how to improve trees.

62. Which of the following was probably the first kind of trees being engineered? 

A. Papaya.           B. Pine.          C. Apple.             D. Poplar.

63. Why did critics think engineered trees dangerous? Because _________.

A. these trees can destroy the balance of nature

B. everything except trees has been genetically engineered

C. trees are home to many endangered species

D. these trees may affect normal trees

C

People who spend more pre-bedtime(睡前)hours using the Internet or watching television are more likely to report that they don`t get enough sleep, even though they sleep almost as long as people who spend fewer pre-bedtime hours in front of a computer or televison screen, survey findings show.

“The longer media use before sleep can trigger self-perceived(自我感覺的)insufficient(不足的)sleep,” lead researcher Dr Nakamori Suganuma of Osaka University said.

He and colleagues obtained data on self-perceived sleep problems and the use of electronic media before bedtime from a total of 5875 Japanese respondents in two separate Internet-based surveys.

Nearly half of the respondents linked their lack of sleep with electronic media use before bedtime. Those reporting longer electronic media use were also more likely to report insufficient sleep.

Overall,29 percent of light users (less than 1.5 hours)listed electronic media use as a possible cause of their insufficient sleep. By comparison, 40 percent of medium (中級的)users(1.5 to 3 hours) and 54 percent of heavy users (more than 3 hours) said the same.

However, longer Internet and television use before bedtime was not linked with less actual sleep. While heavy users averaged about 3 more hours in front of computer or television screens than light users, the heavy users averaged only about 12 minutes less pre-workday sleep than light users.Suganuma said, “Internet use affected self-perceived insufficient sleep more than TV watching in both younger Internet users and middle-aged or aged users.”

Up to 38 percent of the respondents listed accessing the Internet far into the night as a possible cause for their sleep disturbance ,while about 25 percent said watching television far into the night caused their sleep problems.The findings suggest that while heavy computer and television use before bedtime has a small effect on sleep duration, it may have a more significant effect on “sleep demand and sleep quality.” Suganuma notes.

64. The underlined word “trigger” in Paragraph 2 means “________”.   

       A.remove                            B.cause                 C.increase                     D.decrease

65. From the passage, we learn________.  

A.     what kind of people have less actual sleep

B.      self-perceived insufficient sleep is linked to electronic media use

C.      Why the use of electronic media before bedtime affects sleep

D.     Using electronic media before bedtime makes people sleepless

66. Which of the following is NOT a result of the survey?  

A.     People who use electronic media longer before bedtime are more likely to report 

insufficient sleep.

B.      About 38 percent of the respondents think accessing the Internet far into the night is a cause for sleep disturbances.

C.      Internet use affects self-perceived insufficient sleep more than watching TV.

D.     Most self-perceived insufficient sleep is connected with electronic media use before bedtime.

D

Experts say the American state of Hawaii has been affected by a small frog called the coqui(科基蛙) .There may be millions of the small frogs in Hawaii.However, they do not belong there. They are normally found in the Caribbean island of Puerto Rico and in the southeastern United States.These coqui frogs are harming Hawaii`s environment, and the extremely loud noise they make is causing problems for Hawaiian citizens and visitors. The coquis arrived in Hawaii about ten years ago. They are believed to have been brought in accidentally in shipments of plants from Puerto Rico or Florida. Their numbers have sharply increased. They have quickly spread around the Hawaiian Islands and all hidden in plants.

  The coqui is a brown frog about five centimeters long. During the day, the frogs hide in wet protected areas, such as under plant leaves. At night , the frogs move onto trees to feed, call to females and mate(交配).

  In their native Puerto Rico, local people celebrate coqui frogs. But in Hawaii, the foreign frog is thought as a harmful animal.The coqui frogs are a major threat to Hawaii`s environmental system. The frogs eat thousands of insects every night .These insects are important to plants ,and are also important food for Hawaii`s native.

  The frogs are also affecting the tourism industry in Hawaii. Increasing numbers of hotels, visitors and local people are disturbed by the loud calls made by male coqui frogs to female frogs.At night ,the noise often makes it difficult for people to sleep. The mating call of the male coqui sounds like: “ Ko-Kee! Ko-Kee!” That is how they got their name.

  The frogs do not have any natural enemies in Hawaii to reduce their population size. The warm weather permits them to lay eggs all year long.

  Many efforts have been made in Hawaii to stop the spread of the coqui. The Hawaiian Department of Agriculture is trying to find an effective chemical that can be safely used to kill the frogs. Until then, the only way to catch the frogs is by hand.

67.Coqui frogs get their name from________.  

A.     the sound of their loud calls

B.      their shape and colour

C.      their coming from other parts of the USA

D.     people who dislike them

68.Which of the following is NOT a reason why people in Hawaii dislike coquis?  

A.     They are harming Hawaii`s environment.

B.      They have a bad effect on tourism.

C.      They eat insects which are important for plants.

D.     They hide in wet places and make loud sounds during the day.

69.Which of the following contributes to the increasing number of coquis in Hawaii?  

A.     There aren`t any animals in the world which eat coquis.

B.      They are easy to catch.

C.      They are easy to breed (繁殖)there.

D.     They eat a lot of insects in one night.

70.What would be the best title for the passage?  

A.     Coquis―Good or Harmful Animals?

B.      Coquis―A Big Threat to Hawaii

C.      Coquis Make Sleep Difficult

D.     Coquis―the Number Sharply Increased

第二節(共5小題;每小題2分,滿分10分)

根據短文內容,從短文后的選項中選出能填入空白處的最佳選項。備選答案中有兩項為多余選項。

Why do some people have many friends while others do not?  71 However, it is not so. Let’s look at two psychological experiments which will give you the key to happy interpersonal relations.

1,3,5

73   After Martin Luther King, Jr was killed in the 1960s, a teacher, Jane Elliott, living in an all ? white town decided to help her class of young children understand why the Civil Rights Movement had been necessary in America.

She divided the class into two groups: one with blue eyes and the other with brown eyes. Other eye colours such as hazel or green were excluded from his exercise. Then she told the class that brown ? eyed people were cleverer than blue ? eyed ones because of an agent (化學作用) for brown colour found in their blood. Blue ? eyed people were stupid, lazy and not to be trusted. Jane Elliott did not need to say any more. The brown ? eyed students quickly got used to their new role as the leaders of the class. The blue ? eyed students became quiet and withdrawn. Then she discovered something very interesting. Four poor brown ? eyed readers began to read fluently in a way they had never done before.   74  .So if you want to be successful and happy, take an interest in others whether they are your classmates or workmates. Congratulate them on their successes and sympathise(同情) with them in their troubles.   75  .

A. Before the experiment the management talked to both groups of workers and explained that they wanted to find the best working environment for them.

B. Remember that the way you treat others will decide their attitude and behaviour to you.

C. The second experiment shows what happens to personal relations if you are rude to or ignore(忽略) others.

D. The ones who have more friends usually are those who care about others.

E. Jane Elliott had shown that the way people are treated affects not only their behaviour but also their confidence and their performance.

F.You may even imagine that this ability was something they were born with because it seems so effortless to them.

G. The second experiment tells us what teachers said has a great effect on the students.

第四部分:寫(共兩節,滿分35分)

第一節:短文改錯(共10小題;每小題1分,滿分10分)

文中共有10處語言錯誤,每句中最多兩處。錯誤涉及一個單詞的增加、刪除或修改。

增加:在此處加一個漏字符號(∧),并在其下面寫出修改的詞。

刪除:把多余的詞用斜線(\)劃掉。

修改:在錯的詞下劃一橫線,并在其下面寫出修改后的詞。

注意:1.每處錯誤及其修改均僅限一詞;

2.只允許修改10處,多者(從十一處起)不計分。

This is a story told by my father : When I was boy , the most exciting

thing was when to celebrate the Spring Festival . My grandma was the

best cooker in the world but could make the most delicious dishes . Once ,

I just couldn’t wait for the Spring Festival dinner . As I was about take a

piece from a cooked duck , I saw Grandma in the kitchen looking me .

Shake her head , she said , “It isn’t a good time to do that , dear .” I apologize

and controlled me at the best till the dinner started . You know , that was

a dinner we had waited for several month .       

 

第二節:書面表達(滿分25分)

肥胖(fatness)已經成為危害人們健康的嚴重問題,中小學生的肥胖趨勢更為明顯。你們班對此展開討論。根據不同的觀點,寫一篇100詞左右的短文。

    1.肥胖危害健康,應該節食,鍛煉,預防肥胖。已經超重的,應該采取措施減肥。

2.中學生正是長身體的時候,減肥不僅會影響身體發育,而且也會影響學習,因此應該順其自然。

 

 

 

鞍山市2009年第二次高三質量調查考試

英語試題答案

 

1― 5  BAABA   6―10 CBACC   11―15 CBACC  16―20 CAABB

21―25 BBCDC   26―30 DBBCC  31―35 CDBAD  36―40 ACBDB

41―45 DABDA   46―50 DBCAD  51―55 BCABD  56―60 CACBC

61―65 BADBB   66―70 DADCB  71―75 FACEB

短文改錯:

This is a story told by my father : When I was∧ boy , the most exciting

                                       a

學科網(Zxxk.Com)thing was when to celebrate the Spring  Festival . My grandma was the

 

best cooker in the world but could make the most delicious dishes . Once ,

    cook            and

I just couldn’t wait for the Spring Festival dinner . As I was about ∧take a

                                                      to

piece from a cooked duck , I saw Grandma in the kitchen looking ∧ me .

                                                     at

Shake her head , she said , “It isn’t a good time to do that , dear .”I apologize

Shaking                                               apologized

and controlled me at the best till the dinner started . You know , that was

            myself

a dinner we had waited for several month .        

                            months

 

作文:

Fatness is one of the serious problems which have a bad effect on our health. And at present the situation in the teenagers is even worse. As to this, a discussion was carried out in our class.

Some students think fatness does harm to our health, so it is necessary to be on a diet and take suitable exercise to prevent it. Those who are overweight should take measures to lose weight to be healthy.

But others have a different opinion. They say losing weight will be bad for the teenagers during their growth course, as well as their studies. So there is no doubt to leave it as it is.  

 

 

 

 

 

試題詳情

第9講 不等式(組)與方程(組)的應用

 

【例題經典】

例1 (2006年內江市)內江市對城區沿江兩岸的部分路段進行亮化工程建設,整個工程擬由甲、乙兩個安裝公司共同完成.從兩個公司的業務資料看到:若兩個公司合做,則恰好用12天完成;若甲、乙合做9天后,由甲再單獨做5天也恰好完成.如果每天需要支付甲、乙兩公司的工程費用分別為1.2萬元和0.7萬元.

 (1)甲、乙兩公司單獨完成這項工程各需多少天?

 (2)要使整個工程費用不超過22.5萬元,則乙公司最少應施工多少天?

 【點評】(1)利用方程組解決;(2)利用不等式解決,結合實際取值.

 

 

 

 

 

 

 

 

 

 

 

 

例2  (2005年濰坊市)為了加強學生的交通安全意識,某中學和交警大隊聯合舉行了“我當一日小交警”活動,星期天選派部分學生到交通路口值勤,協助交通警察維持交通秩序.若每一個路口安排4人,那么還剩下78人;若每個路口安排8人,那么最后一個路口不足8人,但不少于4人.求這個中學共選派值勤學生多少人?共在多少個交通路口安排值勤?

    【分析】本題與學生生活實際聯系緊密,是一道很好的列不等式組應用題,解決本題應注意路口人數與總人數之間的關系.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

例3  華溪學校科技夏令營的學生在3名老師的帶領下,準備赴北京大學參觀,體驗大學生活.現有兩個旅行社前來承包,報價均為每人2000元,他們都表示優惠;希望社表示帶隊老師免費,學生按8折收費;青春社表示師生一律按7折收費.經核算,參加兩家旅行社費用正好相等.

    (1)該校參加科技夏令營的學生共有多少人?

    (2)如果又增加了部分學生,學校應選擇哪家旅行社?

 【點評】方程與不等式的綜合應用,注意取值與實際生活要相符

 

 

 

 

 

 

 

 

 

 

 

【基礎訓練】

1.(2006年深圳市)九年級的幾位同學拍了一張合影作留念,已知沖一張底片需要0.80元,洗一張相片需要0.35元.在每位同學得到一張相片、共用一張底片的前提下,平均每人分攤的錢不足0.5元,那么參加合影的同學人數(  )

    A.至多6人     B.至少6人    C.至多5人     D.至少5人

2.現用甲、乙兩種運輸車將46噸抗旱物資運往災區,甲種運輸車載重5噸,乙種運輸車載重4噸,安排車輛不超過10輛,則甲種運輸車至少應安排(  )

    A.4輛     B.5輛     C.6輛     D.7輛

3.(2005年內江市)在一次“人與自然”知識競賽中,競賽題共25道,每道題都給4個答案,其中只有一個答案正確,選對得4分,不選或選錯倒扣2分,得分不低于60分得獎,那么得獎至少應選對題(  )

    A.18道     B.19道     C.20道     D.21道

4.一種滅蟲藥粉30千克,含藥率15%,現要用含藥率較高的同種滅蟲藥粉50千克和它混合,使混合后的含藥率大于20%而小于35%,則所用藥粉的含藥率x的范圍是( )

    A.15%<x<23%    B.15%<x<35%     C.23%<x<47%    D.23%<x<50%

5.(2005年吉林省)某林場原計劃在一定期限內固沙造林240公頃,實際每天固沙造林的面積比原計劃多4公頃,結果提前5天完成任務,設原計劃每天固沙造林x公頃,根據題意下列方程正確的是(  )

   

6.(2006年內江市)某學校要印刷一批完全材料,甲印務公司提出制版費900元,另外每份材料收印刷費0.5元;乙印務公司提出不收制版費,每份材料收印刷費0.8元.

    (1)分別寫出兩家印務公司的收費y(元)與印刷材料的份數x(份)之間的函數關系式.

    (2)若學校預計要印刷5000份以內的宣傳材料,請問學校應選擇哪一家印務公司更合算?

 

 

 

 

 

 

 

 

7.水是人類最寶貴的資源之一,我國水資源人均占有量遠遠低于世界平均水平,為了節約用水,保護環境,學校于本學期初制定了詳細的用水計劃.如果實際每天比計劃多用一噸水,那么本學期的用水總量將會超過2300噸;如果實際每天計劃節約一噸水,那么本學期用水量將會不足2100噸.如果本學期的在校時間按110天(22周)計算,那么學校計劃每天用水量是在什么范圍?(結果保留四個有效數字)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 8.某商場購進甲、乙兩種服裝后,都加價40%標價出售.“春節”期間商場搞優惠促銷,決定將甲、乙兩種服裝分別按標價的八折和九折出售.某顧客購買甲、乙兩種服裝共付款182元,兩種服裝標價之和為210元,問這兩種服裝的進價和標價各是多少元?

 

 

 

 

 

 

 

 

 

 

 

 

 

【能力提升】

9.(2006年江陰市)某公司開發的960件新產品,需加工后才能投放市場,現有甲、乙兩個工廠都想加工這批產品,已知甲工廠單獨加工完成這批產品比乙工廠單獨加工完成這批產品多用20天,而乙工廠每天比甲工廠多加工8件產品.在加工過程中,公司需每天支付50元勞務費請工程師到廠進行技術指導.

    (1)甲、乙兩個工廠每天各能加工多少件新產品?

    (2)該公司要選擇省時又省錢的工廠加工,乙工廠預計甲工廠將向公司報加工費用為每天800元,請問:乙工廠向公司報加工費用每天最多為多少元時,才可滿足公司要求,有望加工這批產品.

 

 

 

 

 

 

 

 

 

 

 

10.(2006年揚州市)“中國荷藕之鄉”揚州市寶應縣有著豐富的荷藕資源.某荷藕加工企業已收購荷藕60噸,根據市場信息,如果對荷藕進行粗加工,每天可加工8噸,每噸可獲利1000元;如果進行精加工,每天可加工0.5噸,每噸可獲利5000元.由于受設備條件的限制,兩種加工方式不能同時進行.

    (1)設精加工的噸數為x噸,則粗加工的噸數為______噸,加工這批荷藕需要____天,可獲利______元(用含x的代數式表示)

    (2)為了保鮮需要,該企業必須在一個月(30天)內將這批荷藕全部加工完畢,精加工的噸數x在什么范圍內時,該企業加工這批荷藕的獲利不低于80000元?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

11.(2005年河南。┠彻緸榱藬U大經營,決定購進6臺機器用于生產某種活塞.現有甲、乙兩種機器供選擇,其中每種機器的價格和每臺機器日生產活塞的數量如下表所示.經過預算,本次購買機器所耗資金不能超過34萬元.

 

價格(萬元/臺)

 7

5

每臺日產量(個)

100

60

    (1)按該公司要求可以有幾種購買方案?

    (2)若該公司購進的6臺機器的日生產能力不能低于380個,那么為了節約資金應選擇哪種購買方案?

 

 

 

 

 

 

 

 

 

 

 

 

 

12.(2005年貴州。橛印2005.中國貴州黃果樹瀑布節”,園林部門決定利用現有的3600盆甲種花卉和2900盆乙種花奔搭配A、B兩種園藝造型共50個,擺放在迎賓大道兩側,搭配每個造型所需要花奔情況如下表所示:

造型

 A

90盆

30盆

 B

40盆

100盆

    (1)符合題意的搭配方案有哪幾種?

    (2)若搭配一個A種造型的成本為1000元,搭配一個B種造型的成本為1200元,試說明選用(1)中哪種方案成本最低?

 

 

 

 

 

 

 

 

 

 

 

 

 

 

【應用與探究】

13.(2006年長沙市)我市某鄉A、B兩村盛產柑桔,A村有柑桔200噸,B村有柑桔300噸.現將這些柑桔運到C、D兩個冷藏室,已知C倉庫可儲存240噸,D倉庫可儲存260噸;從A村運往C、D兩處的費用分別為每噸20元和25元,從B村運往C、D兩處的費用分別為每噸15元和18元.設從A村運往C倉庫的柑桔重量為x噸,A、B兩村運往兩倉庫的柑桔運輸費用分別為yA元和yB元.

    (1)請填寫下表,并求出yA、yB與x之間的函數關系式:

 

  C

  D

 總計

 A

x噸

 

200噸

 B

 

 

300噸

總計

240噸

260噸

500噸

    (2)試討論A、B兩村中,哪個村的運費較少;

    (3)考慮到B村的經濟承受能力,B村的柑桔運費不得超過4830元.在這種情況下,請問怎樣調運,才能使兩村運費之和最。壳蟪鲞@個最小值.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

答案:

例題經典 

例1:(1)甲獨做20天,乙獨做30天 

(2)設甲做了x天,乙做了y天完成作業,

解y≥15,即乙公司最少應施工15天.

例2:學校派出158名,共有20個交通路口安排值勤

例3:(1)學生共有21人  (2)應選青春社

考點精練 

1.B  2.C  3.B  4.C  5.B 

6.(1) 

(2)y<y­,∴900+0.5x<0.8x,解得x>3000,

∴選甲公司 

7.應控制在:19.91到20.09噸之間 

8.甲進價為50元,標價70元,乙進價為100元,標價140元 

9.解:(1)設甲工廠每天加工x件,則乙公司每天加工(x+8)件 

由題意得:,解之得:x1=-24,x2=16.

經檢驗,x1、x2均為所列方程的根,但x1=-24不合題意,舍去.

此時x+8=24.

答:甲工廠每天加工16件,乙工廠每天加工24件.

(2)由(1)可知加工960件產品,甲工廠要60天,乙工廠要40天.

所以甲工廠的加工總費用為60×(800+50)=51000(元).

設乙工廠報價為每天m元,則乙工廠的加工總費用為40×(m+50)元.

由題意得:40×(m+50)≤51000,解得m≤1225.

答:乙工廠所報加工費每天最多為1225元,可滿足公司要求,有望加工這批產品. 

10.(1)(60-x)噸,()天,[5000x+(60-x)×1000]元 

(2)5(噸)≤x≤12(噸) 

11.(1)有3種方案:①甲0臺,乙6臺,②甲1臺,乙5臺,③甲2臺,乙4臺 

(2)應選方案② 

12.(1) 

A

30

31

32

B

20

19

18

(2)設費用為y=1000x+1200(50-x)=-200x+60000,∴A32天,B18個費用最低. 

13. (1)

 

  C

  D

 總計

 A

x噸

(200-x)噸

200噸

 B

(240-x)噸

(60+x)噸

300噸

總計

240噸

260噸

500噸

yA=-5x+5000(0≤x≤2000),yB=3x+4680(0≤x≤200).

 (2)當yA=yB時,-5x+5000=3x+4680,x=40;

當yA>yB時,-5x+5000>3x+4680,x<40;

當yA<yB時,-5x+5000<3x+4689,x>40,

∴當x=40時,yA=yB即兩村運費相等;

當0≤x<40時,yA>yB即B村運費較少;

當40<x≤200時,yA<yB即A村費用較小.

(3)由yB≤4830,3x+4680≤4830,∴x≤50,

設兩村運費之和為y,∴y=yA+yB,即:y=-2x+9680.

又∵0≤x≤50時,y隨x增大而減。

∴當x=50時,y有最小值,y最小值=9580(元).

答:當A村調往C倉庫的柑桔重量為50噸,調往D倉庫為150噸,B村調往C倉庫為190噸,調往D倉庫110噸的時候,兩村的運費之和最小,最小費用為9580元.

 

試題詳情

初三數學復習教學案

第8講 一元一次不等式(組)及應用

 

【回顧與思考】

【例題經典】

 

不等式的性質及運用

例1 下列四個命題中,正確的有(  )

    ①若a>b,則a+1>b+1;②若a>b,則a-1>b-1;

    ③若a>b,則-2a<-2b;④若a>b,則2a<2b.

    A.1個    B.2個    C.3個    D.4個

  【分析】注意觀察前后兩個式子的變化,想一想與不等式的性質是否相符.

 

會解一次不等式,并理解解集用數軸表示的意義

例2 (2006年嘉興市)解不等式x>x-2,并將其解集表示在數軸上.

  【點評】步驟類似于解一元一次方程,但要注意不等號方向的變化.

 

借助數軸,解一元一次不等式組

例3  (2006年淄博市)解不等式組,并在數軸上表示解集.

     

  【點評】先求每個不等式的解集,再借助數軸求不等式組的解集.

 

會列不等式(組)解應用題

例4 (2006年廣東省)將一箱蘋果分給若干個小朋友,若每位小朋友分5個蘋果,則還剩12個蘋果;若每位小朋友分8個蘋果,則有一個小朋友分不到8個蘋果.求這一箱蘋果的個數與小朋友的人數.

 【點評】從題意尋求兩個不等關系,列出不等式組,求出解集,并取正整數解.

 

【基礎訓練】

1.(2006年蕪湖市)已知a>b>0,則下列不等式不一定成立的是(  )

    A.ab>b2     B.a+c>b+c    C.<     D.ac>bc

2.(2006年紹興市)不等式2-x>1的解集是(  )

    A.x>1     B.x<1     C.x>-1     D.x<-1

3.如圖,數軸上所表示的不等式組的解集是(  )

A.x>-1     B.-1<x≤2    C.-1≤x≤2    D.x≤2

4.(2006年深圳市)下列不等式組的解集,在數軸上表示為如圖所示的是(  )

5.不等式組的解集在數軸上表示正確的是(  )

6.(2006年包頭市)不等式組的解集是(  )

    A.0<x≤4     B.3<x<4     C.1<x≤4    D.2<x≤8

7.關于x的不等式組只有4個整數解,則a的取值范圍是(  )

   A.-5≤a≤-     B.-5≤a≤-    C.-5<a≤-      D.-5<a<-

8.(2006年隨州市)不等式組的整數解是_______.

9.(2006年包頭市)一堆玩具分給若干個小朋友,若每人分3件,則剩余3件;若前面每人分5件,則最后一人得到的玩具不足3件.則小朋友的人數為______人.

10.一次普法知識競賽共有30道題,規定答對一道題得4分,答錯或不答一道題得-1分,在這次競賽中,小明獲得優秀(90分或90分以上),則小明至少答對了______道題.

 

 

 

【能力提升】

11.(2006年懷化市)求不等式+2y≤-+8所有正整數解的和.

 

 

 

12.解下列不等式組

(1)              (2)(2006年綿陽市)

 

 

 

 

 

 

 

 

 

 

 

 

13.解不等式組,并把其解集在數軸上表示出來.

 

 

 

 

 

 

 

 

 

14.(2006年滬州市)九年級(3)班學生到學校閱覽室上課外閱讀課,班長問老師要分成幾個小組,老師風趣地說:假如我把43本書分給各小組,若每組8本,還有剩余;若每組分9本,卻不夠,你知道該分幾個組嗎?(請你幫助班長分組,注意寫出解題過程,不能僅有分組的結果喲!)

 

 

 

 

15.

    根據對話的內容,試求出餅干和牛奶的標價各是多少元?

 

 

 

 

 

 

 

 

【應用與探究】

16.(2005年重慶市)由于電力緊張,某地決定對工廠實行錯峰用電.規定:在每天的7:00到24:00為用電高峰期,電價為a元/kW?h;每天0:00到7:00為用電平穩期,電價為b元/kW?h;下表為某廠4月和5月兩個月的用電量和電費的情況統計表:

月份

用電量(萬kW?h)

電費(萬元)

 4

        12

    6.4

 5

        16

    8.8

    (1)若4月份在平穩期的用電量占當月用電量的,5月份在平穩期的用電量占當月用電量的,求a,b的值.

    (2)若6月份該廠預計用電20萬kW?h,為將電費探究在10萬元至10.6萬元之間(不含10萬元和10.6萬元),那么6月份在平穩期的用電量占當月用電量的比例應控制在什么范圍?

 

 

 

 

 

 

 

 

 

答案:

例題經典

 例1:B 

例2:x>-3 

例3:x≥13  例4:設有x個小朋友,則蘋果為(5x+12)個,

所以0<8x-(5x+12)<8,解之得4<x<,

所以x取5或6,當x=5時,5x+12=37,當x=6時5x+12=42.

考點精練 

1.D  2.B  3.B  4.D  5.B  6.A  7.C 

8.有±1和0  9.3人  10.24道 

11.和為6  12.(1)-1≤x<3  (2)x≤- 

13.-2<x≤3  數略表示略 

14.設分x個組  則取整數x=5 

15.解:設餅干的標價每盒x元,牛奶的標價為每袋y元,

        由②得y=9.2-0.9x.④.

        把④代入①得,x+9.2-0.9x>10,

        ∴x>8.由③得8<x<10.

        ∵x是整數,∴x=9.

        將x=9代入④,得y=9.2-0.9×9=1.1,

        答:餅干一盒標價9元,一袋牛奶標價1.1元 

        16.解:(1)根據題意得 

        (2)設6月份在平穩期的用電量占當月用電量的x,

        根據題意得10<20?(1-x)?0.6+20?x?0.4<10.6,解得0.35<x<0.5,

        故6月份在平穩期的用電量應占當月用電量的0.35至0.5.

         

         

        試題詳情

        初三數學復習教學案

        第7講 分式方程及應用

         

        【回顧與思考】

         

        【例題經典】

         

        理解分式方程的有關概念

        例1  指出下列方程中,分式方程有(  )

            ①=5  ②=5  ③x2-5x=0  ④+3=0

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

          【點評】根據分式方程的概念,看方程中分母是否含有未知數.

         

        掌握分式方程的解法步驟

        例2  解方程:

        (1)(2006年成都市)

         

            (2)(2006年紹興市)。

        【點評】注意分式方程最后要驗根。

         

         

        分式方程的應用

        例3  (2006年長春市)某服裝廠裝備加工300套演出服,在加工60套后,采用了新技術,使每天的工作效率是原來的2倍,結果共用9天完成任務,求該廠原來每天加工多少套演出服.

         【點評】要用到關系式:工作效率=。

         

         

         

        【基礎訓練】

        1.如果分式的值相等,則x的值是(  )

        A.9      B.7       C.5     D.3

         

        2.(2005年宿遷市)若關于x的方程=0有增根,則m的值是(  )

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

         

        3.(2006年嘉興市)有兩塊面積相同的小麥試驗田,分別收獲小麥9000kg和15000kg.已知第一塊試驗田每公頃的產量比第二塊少3000kg,若設第一塊試驗田每公頃的產量為xkg,根據題意,可得方程(  )

         

        4.已知方程有增根,則這個增根一定是(  )

        A.2       B.3         C.4        D.5

         

        5.方程的解是(  )

        A.1       B.-1       C.±1       D.0

         

        6.張老師和李老師同時從學校出發,步行15千米去縣城購買書籍,張老師比李老師每小時多走1千米,結果比李老師早到半小時,兩位老師每小時各走多少千米?設李老師每小時走x千米,依題,得到的方程是(  )

         

        7.(2006年懷化市)方程的解是_______.

         

        8.若關于x的方程-1=0無實根,則a的值為_______.

         

        9.若x+=2,則x+=_______.

         

        【能力提升】

        10.解下列方程:

          (1)=1;          (2)(2006年河南。=3。

         

         

         

         

         

         

         

        11.(2006年長沙市)在社會主義新農村建設中,某鄉鎮決定對一段公路進行改造.已知這項工程由甲工程隊單獨做需要40天完成;如果由乙工程隊先單獨做10天,那么剩下的工程還需要兩隊合做20天才能完成.

          (1)求乙工程隊單獨完成這項工程所需的天數;

          (2)求兩隊合做完成這項工程所需的天數.

         

         

         

         

         

         

         

        12.(2006年懷化市)懷化市某鄉積極響應黨中央提出的“建設社會主義新農村”的號召,在本鄉建起了農民文化活動室,現要將其裝修.若甲、乙兩個裝修公司合做需8天完成,需工錢8000元;若甲公司單獨做6天后,剩下的由乙公司來做,還需12天完成,共需工錢7500元.若只選一個公司單獨完成.從節約開始角度考慮,該鄉是選甲公司還是選乙公司?請你說明理由.

         

         

         

         

         

         

         

         

        13.請根據所給方程=1,聯系生活實際,編寫一道應用題(要求題目完整題意清楚,不要求解方程)

         

         

         

         

         

         

        14.先閱讀下列一段文字,然后解答問題.

            已知:

            方程x-=1的解是x1=2,x2=-

            方程x-=2的解是x1=3,x2=-;

            方程x-=3的解是x1=4,x2=-

            方程x-=4的解是x1=5,x2=-

            問題:觀察上述方程及其解,再猜想出方程x-=10的解,并寫出檢驗.

         

         

         

         

         

         

        【應用與探究】

        15.閱讀理解題:

            閱讀下列材料,關于x的方程:

            x+=c+的解是x1=c,x2=;

            x-=c-的妥是x1=c,x2=-

            x+=c+的解是x1=c,x2=

            x+=c+的解是x1=c,x2=……

            (1)請觀察上述方程與解的特征,比較關于x的方程x+(m≠0)與它們的關系,猜想它的解是什么,并利用“方程的解”的概念進行驗證.

            (2)由上述的觀察、比較、猜想、驗證,可以得出結論:如果方程的左邊是未知數與其倒數的倍數,方程右邊的形式與左邊完全相同,只把其中未知數換成了某個常數,那么這樣的方程可以直接得解,請用這個結論解關于x的方程:x+.

         

         

         

         

         

         

        答案:

        例題經典 

        例1:B 

        例2:(1)x=-  (2)x=4 

        例3:設服裝廠原來每天加工x套,則=9,解之得x=20,

        經檢驗x=20是原方程的根,答:略

        考點精練 

        1.A  2.B  3.C  4.B  5.D  6.B 

        7.x=0  8.a=1  9.x2+=2 

        10.(1)x=2  (2)x=- 

        11.(1)解:設乙工程隊單獨完成這項工程需要x天,

        根據題意得:×20=1,

        解之得:x=60,經檢驗:x=60是原方程的解.

        答:乙工程隊單獨完成這項工程所需的天數為60天.

        (2)解:設兩隊合做完成這項工程需的天數為y天,

        根據題意得:()y=1,解得:y=24.

        答:兩隊合做完成這項工程所需的天數為24天 

        12.解:設甲獨做x天完成,乙獨做y天完成,

        設甲每天工資a元,乙每天工資b元.

        ∴甲獨做12×750=9000,乙獨做24×250=6000,

        ∴節約開支應選乙公司. 

        13.略 

        14.x1=11,x2=-  檢驗略 

        15.(1)x1=c,x2=.

         

         

        試題詳情

        初三數學復習教學案

        第6講 一元二次方程及應用

        【回顧與思考】

        【例題經典】

        掌握一元二次方程的解法

        例1  解方程:

            (1)3x2+8x-3=0;(2)9x2+6x+1=0;(3)x-2=x(x-2);(4)x2-2x+2=0

        會判斷一元二次方程根的情況

        例2  不解方程判別方程2x2+3x-4=0的根的情況是(  )

            A.有兩個相等實數根;    B.有兩個不相等的實數根;

            C.只有一個實數根;      D.沒有實數根

          【點評】根據b2-4ac與0的大小關系來判斷

        一元二次方程的應用

        例3  (2006年包頭市)某印刷廠1月份印刷了書籍60萬冊,第一季度共印刷了200萬冊,問2、3月份平均每月的增長率是多少?

          【點評】設2、3月份平均每月的增長率為x,即60+60(1+x)+60(1+x)2=200

        【基礎訓練】

        1.(2006年溫州市)方程x2-9=0的解是(  )

            A.x1=x2=3           B.x1=x2=9       C.x1=3,x2=-3       D.x1=9,x2=-9

        2.下列方程中肯定是一元二次方程的是(  )

            A.-ax2+bx+c=0       B.3x2-2x+1=mx2     C.x+=1         D.(a2+1)x2-2x-3=0

        3.(2006年廣州市)一元二次方程x2-2x-3=0的兩個根分別為(  )

            A.x1=1,x2=-3       B.x1=1,x2=3

        C.x1=-1,x2=3       D.x1=-1,x2=-3

        4.在一幅長80cm,寬50cm的矩形風景畫的四周鑲一條金色紙邊,制成一幅矩形圖.如果要使整個掛圖的面積是5400cm2,設金色紙邊的寬為xcm,那么x滿足的方程是( )

            A.x2+130x-1400=0     B.x2+65x-350=0

        C.x2-130x-1400=0     D.x2-65x-350=0

        5.兩圓的半徑分別是方程x2-3x+2=0的兩根.且圓心距d=1,則兩圓的位置關系是(  )

        A.外切       B.內切       C.外離         D.相交

        6.(2006年常德市)已知一元二次方程有一個根是2,那么這個方程可以是_______(填上你認為正確的一個方程即可).

        7.方程(x-2)(x-3)=6的解為______.

         

        8.(2006年成都市)已知某工廠計劃經過兩年的時間,把某種產品從現在的年產量100萬臺提高到121萬臺,那么每年平均增長的百分數約是________.按此年平均增長率,預計第4年該工廠的年產量應為_____萬臺.

         

        9.若一個等腰三角形三邊長均滿足方程x2-6x+8=0,則此三角形的周長為_____.

         

         

         

         

         

         

         

         

        【能力提升】

        10.方程(m+1)|m|+1+(m-3)x-1=0.

            (1)m取何值時,方程是一元二次方程,并求出此方程的解;

        (2)m取何值時,方程是一元一次方程.

         

         

         

         

         

         

         

        11.解下列方程:

        (1)x2-12x-4=0;                 (2)(2006年浙江。﹛2+2x=2;

         

         

        (3)(2006年蕪湖市)x2-4x-12=0;  (4)(x+1)2-4=0

         

         

         

         

         

         

         

         

        12.(2006年黃岡市)市政府為了解決市民看病難的問題,決定下調藥品的價格.某種藥品經過連續兩次降價后,由每盒200元下調至128元,求這種藥品平均每次降價的百分率是多少?

         

         

         

         

         

         

         

        13.某商場將進貨價為30元的臺燈以40元售出,平均每月能售出600個.調查表明:這種臺燈的售價每上漲1元,其銷售量就將減少10個.為了實現平均每月10000元的銷售利潤,這種臺燈的售價應定為多少?這時應進臺燈多少個?

        請你利用方程解決這一問題.

         

         

         

         

         

         

         

         

         

        14.(2006年重慶市)機械加工需要用油進行潤滑以減少摩擦,某企業加工一臺大型機械設備潤滑用油量為90千克,用油的重復利用率為60%,按此計算,加工一臺大型機械設備的實際耗油量為36千克.為了建設節約型社會,減少油耗,該企業的甲、乙兩個車間都組織了人員為減少實際耗油量進行攻關.

            (1)甲車間通過技術革新后,加工一臺大型機械設備潤滑油用油量下降到70千克,用油的重復利用率仍然為60%.問甲車間技術革新后,加工一臺大型機械設備的實際耗油量是多少千克?

            (2)乙車間通過技術革新后,不僅降低了潤滑用油量,同時也提高了用油的重復利用率,并且發現在技術革新的基礎上,潤滑用油量每減少1千克,用油量的重復利用率將增加1.6%.這樣乙車間加工一臺大型機械設備的實際耗油量下降到12千克.問乙車間技術革新后,加工一臺大型機械設備潤滑用油量是多少千克?用油的重復利用率是多少?

        【應用與探究】

        15.填空:

          (1)方程x2+2x+1=0的根為x1=____,x2=_____,則x1+x1=______,x1?x2=_____;

          (2)方程x2-3x-1=0的根為x1=____,x2=_____,則x1+x2=______,x1?x2=_____;

          (3)方程3x2+4x-7=0的根為x1=_____,x2=_____,則x1+x2=______,x1?x2=_____.

            由(1)(2)(3)你能得到什么猜想?并證明你的猜想.請用你的猜想解答下題

        已知2+是方程x2-4x+C=0的一個根求方程的另一個根及C的值.

         

         

         

         

         

         

         

         

         

         

         

         

        答案:

        例題經典 

        例1:(1)x1=-3,x2=  (2)x1=x2=-  (3)x1=1,x2=2  (4)x1=+,x2=- 例2:B  例3:設增長率為x列方程60+60(1+x)+60(1+x)2=200

        考點精練 

        1.C  2.D  3.C  4.B  5.B 

        6.略  7.x1=0,x2=5  8.10%,146  9.6或10或12 

        10.(1)m=1,x1=  (2)m=0或m=-1 

        11.(1)x1=6+2,x2=6-2 

        (2)x1=-1+,x2=-1-  (3)x1=6,x2=-2,(4)x1=-3,x2=1 

        12.設百分率為x,則200(1-x)2=128,

        解之得x1=1.8(舍去),x2=0.2,即百分率為20% 

        13.設售價為x元,則(x-30)[600-(x-40)×10]=10000,

        解得x=50,x=80,即售價為50元時進500個.售價為80元時進200個. 

        14.解:(1)由題意,得70×(1-60%)=70×40%=28(千克).

        (2)設乙車間加工一臺大型機械設備潤滑用油量為x千克.

        由題意,得:x×[1-(90-x)×1.6%-60%]=12,

        整理得x-65x-750=0,解得:x1=75,x2=-10(舍去),(90-75)×1.6%+60%=84%.

        答:(1)技術革新后,甲車間加工一臺大型機械設備的實際耗油量是28千克.(2)技術革新后,乙車間加工一臺大型機械設備潤滑用油量是75千克,用油的重復利用率是84%. 

        15.(1)x1=-1,x2=-1,x1+x2=-2,x1?x2=1 

        (2)x1=,x1+x2=3,x2=-1

         (3)x1=1,x2=-,x1+x2=-,x1?x2=- 

        猜想:ax2+bx+c=0的兩根為x1與x2,則x1+x2=-,x1?x2=,

        應用:另一根為2-,C=1

         

         

        試題詳情

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