綿陽中學(xué)自主招生模擬精彩試題

1、標(biāo)準(zhǔn)文檔 數(shù)學(xué)素質(zhì)考查卷 一.選擇題：（本大題共12個(gè)小題，每個(gè)4分，共48分，將所選答案填涂在機(jī)讀卡上） 1、下列因式分解中，結(jié)果正確的是（ ） 422322 A. B. 2)x?x?4?(x2)(?x2)(?)xyy?y?y(x122 C. D.3)(a?1)(a1?(a?2)?)?1?1x?x(xx? x 2 與的圖像如圖所示，試判斷2、“已知二次函數(shù)c?bx?ax?ycb?a? ，”一同學(xué)是這樣回答的：“由圖像可知：當(dāng)時(shí)0的大小.1?x0y? 他這種說明問題的方式體現(xiàn)的數(shù)學(xué)思想方法叫所以.”0?b?c?a ）做（ B.配方法A. 換元法 分類討論法 D.數(shù)形結(jié)合法 C.1112 ） ，

2、則3、已知實(shí)數(shù)滿足的值是（x?4?4?x?x 2xxx1 D.-2或2 或 B.1 C.-1 A.-2 kk的圖像還必過與反比例函數(shù)，則反比例函數(shù)的圖像交于點(diǎn)4、若直線)(2,a12x?Py?yy? xx ）點(diǎn)（ D.(2,12) B.(1,-6) C.(-2,-3) A. (-1,6) 15n?m ）（*”： ，那么、現(xiàn)規(guī)定一種新的運(yùn)算：5“?*nm(m?)n* 225A. D.9 C.3 B.5 46、一副三角板，如圖所示疊放在一起，則COD?AOB? ）（ B.150 A.180 D.170 C.160，20%年、2007年該校住校人數(shù)統(tǒng)計(jì)時(shí)發(fā)現(xiàn)，2006年比2005年增加、某中學(xué)對72

3、005年、2006 年比2005年（ ）年減少2007年比200620%，那么2007 2D.C. 減少4 減少 A. 不增不減 B.增加4 3? ） 為銳角，且，則角所對的弦長等于（ 8、一半徑為8的圓中，圓心角?2 D.16 C. B.10 A.8 28的3cm、16cm4cm的金屬筷子（粗細(xì)忽略不計(jì)）、一支長為913cm，放入一個(gè)長、寬、高分別是 長方體水槽中，那么水槽至少要放進(jìn)（ ）深的水才能完全淹沒筷子。 實(shí)用文案標(biāo)準(zhǔn)文檔 D. cm B.cm C.12cm A.13cm 15310410、如圖，張三同學(xué)把一個(gè)直角邊長分別為3cm,4cm的直角三角形硬紙板，在桌面上翻滾（順時(shí)針方向）

4、，頂點(diǎn)A的位置變化為，其A?A?A 21使紙板中第二次翻滾時(shí)被桌面上一小木塊擋住，則，與桌面所成的角恰好等于一邊BAC?ACA12 ）翻滾到位置時(shí)共走過的路程為（A2 ?cm D. C. cm A.cm B. cm 2928248、一輛汽車從甲地開往乙地，開始以正常速度勻速行駛，但行至途中汽車出了故障，只好停下11修車，修好后，為了按時(shí)到達(dá)乙地，司機(jī)加快了行駛速度并勻速行駛。下面是汽車行駛路程 ） t(小時(shí))的函數(shù)圖象，那么能大致反映汽車行駛情況的圖像是（千米S()關(guān)于時(shí)間 A B C D 、由綿陽出發(fā)到成都的某一次列車，運(yùn)行途中須停靠的車站依次是：綿陽羅江黃許德陽12 ）廣漢清白江新都成都.

5、那么要為這次列車制作的車票一共有（ D.28種 種 C.56種 A.7 種 B.8 分。將你所得答案4分，共246二. 填空題（共個(gè)小題，每個(gè)小題 填在答卷上） 13、根據(jù)圖中的拋物線可以判斷： 時(shí)，隨的增大而減小；當(dāng)_yxx 時(shí)，有最小值。當(dāng)_yx 2?x_. 的取值范圍是、函數(shù)14中，自變量x?y22x?x ? 是上半圓中，直徑15、如圖，在圓上的兩個(gè)動(dòng)ABDC，OAB?10_. 交于點(diǎn)點(diǎn)。弦與，則BDACBEAEAC?EBD100 2個(gè)、3個(gè)六邊形，那么擺個(gè)、下圖是用火柴棍擺放的161 根。個(gè)六邊形，需要火柴棍_ 實(shí)用文案標(biāo)準(zhǔn)文檔 17、在平面直角坐標(biāo)系中，平行四邊形四個(gè)頂點(diǎn)中，有三個(gè)頂

6、點(diǎn)坐標(biāo)分別是（-2，5），（-3，-1）， （1，-1），若另外一個(gè)頂點(diǎn)在第二象限，則另外一個(gè)頂點(diǎn)的坐標(biāo)是_. 18、參加保險(xiǎn)公司的汽車保險(xiǎn)，汽車修理費(fèi)是按分段賠償，具體賠償細(xì)則如下表。某人在汽車修理后在保險(xiǎn)公司得到的賠償金額是2000元，那么此人的汽修理費(fèi)是_元. 汽車修理費(fèi)元 x賠償率 500 0?x60 5001000 ?x70 3000 1000?x80 78分，將解題過程寫在答卷上）三.解答題（共7個(gè)小題，滿分32xx?x10519、（10分）先化簡，再求值：， ? 22x?2x?4x?2x?x?2120. 其中)?2cos30?2(tan45x? 2?1 120、（10分）在中，.

7、以為底作等腰直角，是的中點(diǎn)，CDBC?ABCBCDEBC?C?90,AC? 2求證：. EBAE? 21、(10分)綿陽中學(xué)為了進(jìn)一步改善辦學(xué)條件，決定計(jì)劃拆除一部分舊校舍，建造新校舍。拆除舊校舍每平方米需80元，建造新校舍每平方米需要800元，計(jì)劃在年內(nèi)拆除舊校舍與建造新校舍共9000平方米，在實(shí)施中為擴(kuò)大綠化面積，新建校舍只完成了計(jì)劃的90而拆除舊校舍則超過了計(jì)劃的10，結(jié)果恰好完成了原計(jì)劃的拆、建總面積。 （1）求原計(jì)劃拆、建面積各是多少平方米？ （2）若綠化1平方米需要200元，那么把在實(shí)際的拆、建工程中節(jié)余的資金全部用來綠化，可綠化多少平方米？ 實(shí)用文案標(biāo)準(zhǔn)文檔 22、（10分）已知

8、直線與軸的負(fù)半軸交于點(diǎn)，直線與軸交于點(diǎn)，與yy8?2x?ya?y?xBAx 軸交于點(diǎn)，（是坐標(biāo)原點(diǎn)），兩條直線交于點(diǎn). OAO:CO?C7:8P（1）求的值及點(diǎn)的坐標(biāo)； aP（2）求四邊形的面積. AOBPS 23、（12分）如圖：已知是圓的直徑，是圓的弦，圓的割線垂直于于點(diǎn)， GBCOOOABABDEF交于點(diǎn) .DHDC?H,BC（1）求證：是圓的切線； ODC2成立,說明理由。（2）請你再添加一個(gè)條件，可使結(jié)論 BO?BHBG（3）在滿足以上所有的條件下，求的值。 8.?10,EF?ABA?sin 做從點(diǎn)60，點(diǎn)出發(fā)沿線路12分）如圖，菱形的邊長為12cm，24、（BDABABCD?A?A

9、P. 做勻速運(yùn)動(dòng)勻速運(yùn)動(dòng)，點(diǎn)從點(diǎn)同時(shí)出發(fā)沿線路BACB?DC?QD分別到達(dá)秒后，經(jīng)過12秒，已知點(diǎn)運(yùn)動(dòng)的速度分別為2cm/秒和2.5cm/（1）N、MQ、PP,Q 的形狀，并說明理由； 兩點(diǎn)，試判斷AMN?的速的速度不變，點(diǎn)有分別從同時(shí)沿原路返回，點(diǎn)2）如果（1）中的點(diǎn)（NM、QP、QP相1）中的秒后，分別到達(dá)兩點(diǎn)，若與題（度改為cm/秒，經(jīng)過3AMN?E、FQP、BEF?v. 似，試求的值v . ，且分）在中，的長分別是、25（14a,AC,BCbC?90?A?coscotB?ABCAB2 ）求證：；（1a?b2ab)?(y?mx? ，拋物線）若（22和點(diǎn)交于點(diǎn)，且與直線b4?y?x)y,y

10、(Mx,)N(x2112 的值；求是坐標(biāo)原點(diǎn)）（的面積為6.O?MONm 實(shí)用文案標(biāo)準(zhǔn)文檔 4a22）若3 ，拋物線（與軸的兩個(gè)交點(diǎn)中，一個(gè)交點(diǎn)在)3y?n(xq?px?x?n?q3?0,p 2b. 軸的正半軸還是負(fù)半軸，說明理由原點(diǎn)的右側(cè)，試判斷拋物線與軸的交點(diǎn)是在yy英語素質(zhì)考查卷 （120分鐘） I卷 I.聽力（ 共20小題；每小題1.5分，滿分30分 ) 第一節(jié)：聽下面5段對話。每段對話后有一個(gè)小題，從題中所給的A，B，C三個(gè)選項(xiàng)中選出最佳選項(xiàng)，并標(biāo)在試卷的相應(yīng)位置。聽完每段對話后， 你都有10秒中的時(shí)間來回答有關(guān)小題和閱讀下一小題。每段對話僅讀一遍。 1.When should th

11、e woman go to the zoo according to the man? A. On Sunday afternoon. B.On Saturday afternoon. C. On a week day. 2.Where are the two speakers? A. In a hotel B. At a dinner table C. In the street. 3.What are the two speakers? A.A bus driver and a passenger. B.A policeman and a driver. C.A taxi driver a

12、nd a passenger. 4.What will the weather be like on Thursday? A.Rainy. B.Fine. C.Cold. 5.What does the man suggest? A.Come back for a later show. B.Wait in a queue. C.Come back in five minutes. 第二節(jié)：聽下面5段對話或獨(dú)白。每段對話或獨(dú)白后有幾個(gè)小題，從每題所給的A，B，C三個(gè)選項(xiàng)中選出最佳選項(xiàng)，并標(biāo)在試卷的相應(yīng)位置。聽完每段對話或獨(dú)白前，你將有時(shí)間閱讀各小題，每小題5秒鐘；聽完后，各小題將給出5秒鐘的作

13、答時(shí)間。每段對話或獨(dú)白讀兩遍。 聽第6段材料，回答第6至8題。 6.What does the man first invite the woman to do? A. Go shopping. B. Go swimming. C. Go to the cinema. 7.When will the two speakers go out for supper together? A. On Friday evening. B. On Saturday evening. C. On Sunday evening. 8.When and where will the man pick up th

14、e woman? A. At seven at her house. B. At six at her house. C. At five at her office. 聽第7段材料，回答第9至11題。 9.What is the possible relationship between the two speakers? A. They are friends. B.They are strangers. C.They are workers in the same company. 10.Where is Jim going? A.Going to the cinema. B.Going

15、 home. C.Going to watch TV. 11.What time of the day do you think it is? A.In the morning. B.At noon. C.In the evening. 實(shí)用文案標(biāo)準(zhǔn)文檔 聽第8段材料，回答第12至14題。 12.Why hasnt Kat seen John recently? A.He went on camping. B.He was visiting his brother. C.Hes been studying. 13.Why did Kate suggest John camping? A.Joh

16、n can get in touch with the nature. B.John can have a good rest. C.John can go to many parks. 14.What did John think of camping? A.Camping was very expensive. B.They could camp anywhere they wanted. C.Camping was not safe. 聽第9段材料，回答第15至16題。 15.Where did the conversation take place? A.In Italy. B.In

17、America. C.In China. 16.What did the man enjoy most during the holiday? A.Meeting with his relatives. B.Being together with his wife and his daughter. C.Visiting friends. 聽第10段材料，回答第17至20題。 17.What is the speaker? A.An assistant to help organize the play. B.The director of the school play. C.Chairma

18、n of the students union. 18.What will the people be asked to do? A.To act in the school play. B.To help organize the school play. C.To direct the school play. 19.What can we learn about the peoples work? A.Maybe they will work at night. B.They will work in the daytime. C.They will work every day. 20

19、.What will the speaker do after the speech? A.Answer questions. B.Set up the lights. C.Watch their performance. II.選擇填空（共15小題，共15分）從A、B、C、D四個(gè)選項(xiàng)中，選出可以填入各題空白處的最佳選項(xiàng)。 21.To our great _,the beautiful singer could sing a lot of English songs. A.surprise B.surprised C.surprising D.surprisingly 22.Making go

20、od use of a tape recorder will help you to _ bad pronunciation. A.give in B.give out C.give away D.get rid of 23.What do you think of the place? I didnt care for it at_first,but after_ time I got to like it. 實(shí)用文案標(biāo)準(zhǔn)文檔 A./;the B.the;a C./;a D.a;the 24.Shall I sit at this end of the boat or the other e

21、nd? If you keep still,you can sit at _. A.neither B.either C.all D.any 25.At the school meeting,the headmaster suggestes the teachers receive _ education to catch up with the _development. A.farther;late B.farther;latest C.further;late D.further;latest 26.Be careful when you get _ or _ the bus? A.on

22、;off B.up;down C.in;out D.over;below 27.Susan is out.I wonder how long ago_. A.did she go B.she has left C.she leaves D.she left 28.I usually go there by train. Why not _by plane for a change? A.to try going B.try going C.to try and go D.trying to go 29.Think hard,_ youll get a good idea. A.but B./

23、C.and D.yet 30.They lost their way in the forest,and _ made matter worse was that night began to fall. A.which B.what C.it D.that 31.Have you traveled much? No,Ive done _traveling. A.few B.smalll C.little D.less 32.Shall I go home now? No,you_.Your work hasnt been finished yet. A.neednt B.mustnt C.w

24、ont D.wouldnt 33.Dont do anything unless I ask _. A.you to B.you C.of you D. you to do 34.I failed in the English test. _.Dont lose heart.Try again. A.Youre too slow B.Im sorry to hear that C.Nothing to worry about D.Im angry with you. 35.Who do you think knows the news? Nobody but Tom and Jane _ it

25、. A.know B.knows C.have known D.is known III.完形填空（本題有20小題，每小題1.5分，共30分） 閱讀下面短文，掌握其大意，然后從A、B、C、D四個(gè)選項(xiàng)中選出可以填入空白處的最佳答案。 All big cities are quite similar. 36 in a modern Asian city is not 37 living in an American city.The same cannot be said about living on farms, 38 . In many parts of the world,farmers

26、and their families live in villages or 39 .In the United States,however,each farm family lives 40 its own fields,often out of the sight of any 41 .Instead of traveling in the morning from their 42 to the field every day,American farmers often 43 on their land throughout the week.They travel to the n

27、earest town on Saturdays for 44 or on 實(shí)用文案 標(biāo)準(zhǔn)文檔all of the farm families 46 45 Sundays for church.The children on buses to large schools which to 48 a few families,and the children the area.In 47 areas,there are small schools for living in school. cars,good are there course,including the farmers. 50

28、But life 49 for everyone,of these of for farming.All course there are modern machines roads,radios,and television sets. 51 of have changed farm life. 53 a lonely way of living.Farmers had to For many years,however,farming in America was 52 from others.As time went on they learned 54 their own proble

29、ms all by themselves,instead of getting ways. 55 to try new ways,and trust their own ideas instead of following D.Working B.Living C.Farming 36.A.Studying D.as easy as B.as difficult as C.very different from 37.A.as far as D.of course C.now B.however 38.A.either D.houses C.streets 39.A.towns B.big c

30、ities D.between C.near 40.A.in B.across D.cattle B.neighbours C.friends 41.A.animals D.village C.field 42.A.hometown B.farm D.depend B.sleep C.stay 43.A.eat D.shopping C.dinner B.trip 44.A.food D.lie B.ride C.sit 45.A.take D.work for C.serve B.are near 46.A.are run by D.some B.these C.most 47.A.othe

31、r D.run C.come 48.A.walk B.go D.is funny B.keeps changing C.is hard 49.A.is not easy D.Sometimes C.Today 50.A.Often B.Usually D.And C.But 51.A.Then B.Therefore D.forever C.never 52.A.not B.often D.work out C.deal with B.replies 53.A.answer 54.A.letters B.replies C.thanks D.help 55.A.more B.older C.o

32、ther D.modern IV.閱讀理解（共20小題，每小題2分,共40分） 閱讀下面短文，從每題所給的A、B、C、D四個(gè)選項(xiàng)中選出最佳選項(xiàng)。 APlants are very important living things.Life could not go if there were no plants.This is because plants can make food from air,water and sunlight.Animals and man cannot make food from air,water and sunlight.Animals get their

33、food by eating plants and other animals.So animals and man need plants in order to live.This is why we find that there are so many plants around us.If you look carefully at the plants around you,you will find that there are two kinds of plants:flowering plants and non-flowering plants. Flowering pla

34、nts can bear seeds.The seeds are protected by the fruits.Some fruits have one seed,some have two,three or four,and some have many seeds.But a few fruits have no seeds at all.An example of a fruit without seeds is the banana fruit. 實(shí)用文案標(biāo)準(zhǔn)文檔 Most non-flowering plants dont grow from seeds.They grow fro

35、m spores.Spores are very,very small.Some spores are so small and light that they can float in the air.We may say that spores are quite the same as the seeds.When these spores fall on wet and shady places,they usually grow into new plants. 56.The main idea of the passage is that _. A.plants are impor

36、tant for life B.plants cannot grow without air C.there are many plants around us D.we cannot live without water. 57.Which of the following is NOT true? A.Plants can be divided into two main types:flowering plants and non-flowering plants. B.All fruits have seeds in them. C.Seeds are protected by the

37、 fruits D.Some plants grow from spores. 58.The word “non-flowering”in this passage means _. A.開花的 B.有花的 C.多花的 D.不開花的 B In the United States,most children begin attending school when they are 5 years old.Public education is free and most children go to learn to read and write.But they also play games

38、 and go on trips.There is no reason at such an early age for them to hit the books. The situation changes as children become older.The subjects become more difficult. Students must learn about world history,algebra(代數(shù)),and the life sciences.Tests become more common.Pressure is growing to hit the boo

39、ks,study hard,and advance.However,most serious students only really begin hitting the books for long hours when they reach high school. High school students who hope to continue their education at a college or university must take a special national test called the S-A-T.The test has two parts.The f

40、irst part tests the students ability with numbers and mathematical skills. The second part tests the students ability in the English language. The S-A-T test is very important.A high school student who gets a high score on the two parts of the test has a good chance to enter a top American college.F

41、or this reason,many students hit the books for months to prepare for the S-A-T. 59.From the text,we can see “hitting the books” means _. A.working hard for the future B.studying a subject carefully C.reading books in a hurry D.reading books with great effort 60.Which of the following statements can

42、best express the main idea of the text? A.The S-A-T is the most important test. B.Education is not easy in the United States. C.“Hitting the books ” is very important for the students who want to have a bright future. D.The more you want to learn,the more tests you have to pass. 61.American children

43、 dont have _ if they want to study in public school. A.to work hard at their lessons B.to pay for the education C.to hit the books D.to take many tests 62.The students in high school_ . A.have to take the S-A-T B.are free and happy 實(shí)用文案標(biāo)準(zhǔn)文檔 C.have to hit the books if they want to go on to college D.

44、dont hit the books until they pass the S-A-T 63.Which of the following is NOT true according to the text? A.In America the students have to pass certain tests to continue their education. B.Young children neednt work hard at their lessons because education is free. C.Those who fail in the S-A-T cann

45、ot go to college. D.The students must spend a lot of time preparing for the S-A-T. C Another Reason It was a quiet village in which there was a military camp.It was far from the towns and cities and there were some high mountains around.Of course it was a good place for training the new soldiers.But

46、 it was difficult for the young men to go outside.Mr.White ,an officer of forty,was strict with them and he hardly let them leave the camp. Once Mr.White was ill in bed. He couldnt work and a young officer, Mr. Hunt, began to train the new soldiers instead of him.He knew the young men well and let n

47、ine soldiers go to the nearest town to have a holiday.But night fell and none came back to the camp.He was worried about it and stood at the gate.It was five to twelve when Mr.Hunt decided to go to the town and see what was happening with the young men.He started the car quickly and set off.At that

48、moment the nine soldiers came back.It seemed they were all drunk.Of course they found the officer was angry. “Im sorry, sir” said the first soldier. “I left the town on time,But something was wrong with my bus on my way here.I had to buy a horse and made it run fast.Bad luck!It died and I had to run

49、 back.” And the other seven soldiers said they were late for the same reason.It was the last soldiers turn.He said, “Im sorry,sir.I got on a bus on time,but” Having heard this,the officer became even angrier and stopped him at once.He called out, “If you say something was wrong with your bus,Ill pun

50、ish you at once!” “No,no,sir,”said the young man. “My bus was all right,but the dead horses were in its way!” 64.The military camp was built in the village to _. A.stop the soldiers going to towns B.stop the soldiers meeting their friends C.train new soldiers D.make the young men live quietly. 65.Mr

51、.Hunt let nine soldiers have a holiday because_. A.he was kind to them B.they felt lonely C.they had something important to do D.they were the best of all 66.The nine soldiers returned to the camp late because_. A.something was wrong with their buses B.their horses died on their return way C.it took

52、 them much time to run back D.they all had drunk too much in the town 67.Which answer do you think is right? A.The officer only believed the last soldier. B.The officer believed the nine soldiers. C.The officer believed none of the soldiers. D.The officer wouldnt punish his soldiers. D “If you want to see a thing well,reach out and touch it!” That may seem a stra