2014年山西省高中阶段教育学校招生统一考试英语试卷(图片版)
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盐城市20l0届高中阶段教育招生统一考试英语试卷一、单项选择(共15小题;每小题1分,计15分)1.It’s very kind _______ you. Thank you for your help. A.of B. for C. to D. on2.—How was your visit to the World Park in Beijing?—Wonderful! We enjoyed _______ very much. A.itself B.myself C. yourselves D. ourselves3.The desk is not dirty.You _______ clean it. A.mustn’t B.shouldn’t C. needn’t D. can’t4.—Peter looks sporty.—Yes.He is the _______ runner in my class.A. slower B.slowest C.faster D.fastest5.He _______ his umbrella to me yesterday,so I didn’t get wet.A.borrowed B.kept C.lent D.bought6. They clapped and shouted _______ when they saw Yao Ming appear on the playground.A. hardlyB. quietlyC. excitedlyD. angrily7. I’m sorry I left the book at home. I _______ it here tomorrow, I promise.A. bringB. will bringC. broughtD. have brought8. —Excuse me. Could you tell me _______ I can get to the Space Museum? —Of course. You can take bus No.1.A. whereB. howC. ifD. why9. —What are you doing, Simon? —I have finished my homework, and now I _______ the computer games.A. playedB. was playingC. am playingD. play10. It is a good habit to _______ all your things in correct places. A. put away B. put up C. put out D. put off11. The talk show on TV is very popular. It often makes people _______.A. laughB. laughingC. to laughD. laughed12. Many students didn’t realize the importance of study _______ they left school.A.when B.until C. as D.after13.Last month a new law _______ in China to stop people from smoking in public places.A. is passed B.passes C.had passed D.was passed14.We are all looking forward to _______ more than HK$6,500 for the Oxfam.A. raise B.raising C.be raised D.being raised15.—The party is a great success. We've had a good time.—__________.A. It doesn’t matter B.No.thanks C.It’s not very good D.I'm glad to hear that二、完形填空(共15小题;每小题1分,计15分)Red is the colour of China.Among all the 16 ,red is most easily seen.The colour red is fresh and pure, 17 in China we call it China Red.Chinese people are attracted by the colour red not only because it makes people excited,but also because it has 18 meaning in Chinese culture and history.No Country in tlle world has ever 19 a colour in such a way as China.Here, red is a symbol.It gives colour to the soul(灵魂)of the nation.In the past, red represented dignity(尊严) and mystery.Even now,Chinese people 20 the colour much more than we do.It can be said that “China Red”is an everlasting theme for China,and an 21 colour for the Chinese people.“China Red” has 22 a very popular word,attracting the world’s attention.Finding red-coloured things in China is very 23 ,as you can see the colour everywhere.All traditional red things have been playing special 24 in China:the walls of ancient palaces, the 25 flag, Chinese knots,lanterns,traditional paper-cuts,and even red tanghulu.Red is the colour of the 26 ,health,harmony,happiness,peace,richness and so on. Only real things and events can fully 27 and explain its beauty.The colour can be 28 and meaningful only when it's connected with people.In China,red is more than just a color.It carries the ancient history and 29 of theChinese nation.China Red is 30 with mysterious charm beyond description and it is right here in China waiting for you to feel,to discover!16.A.colours B.news C.papers D.paints17.A.but B.or C.and D.while18.A.poor B.rich C.simple D.correct19.A.used B.shared C.drawn D.affected20.A.need B.dislike C.hate D.love21.A.interesting B.expensive C.easy-going D.important22.A.spoken B.said C.become D.got23.A.hard B.easy C.sudden D.warm24.A.roles B.games C.cards D.places25.A.national B.international C.local D.foreign26.A.rainbow B.fear C.worry D.luck27.A.believe B.show C.talk D.write28.A.1arge B.quiet C.alive D.peaceful29.A.art B.culture C.business D.ability30.A.pleased B.crowded C.filled D.satisfied三、阅读理解AQian Xuesen(191l-2009),ChinaFamous as the “Father of Chinese Rocketry”,he worked hard and made important contributions to the missile(导弹)and space programs of China. Gandhi(1869-1948),IndiaHe gave up his rich life for his ideas and fought for his country to be free from the UK in a peaceful way.Indians called him the “Father of the nation”.Nelson Mandela(1918-),South AfricaHe fought for the black people and was in the prison for 30 years.He helped the black people to get the same rights as white people.In 1993,he was give Nobel Peace Prize for his devotion to his country.Norman Bethune(1890-1939),CanadaHe fought against the German Nazis(纳粹)and Japanese invaders during World War Ⅱ.He worked in China as a doctor and saved many Chinese soldiers.31.Of the four persons, only ________ worked in China.A.Qian Xuesen and Norman Bethune B.Qian Xuesen and Nelson MandelaC.Gandhi and Norman Bethune D.Nelson Mandela and Gandhi32.Nelson Mandela fought for the black people and helped them to get _______ though once in prison for 30 years.A.space programs B.good treatment from BethuneC.sonic good ideas D.the same rights as white people 33.The underlined word “invaders” probably means _________ in Chinese.A.政治家 B.科学家 C.叛国者D.侵略者BWang Fengqin, a 61-year-old woman in Beijing, volunteers to (分类)rubbish in her living are in Beijing’s Chaoyang District. At 6:30 every morning, while half of Beijing is still in sleeping dreams in bed or enjoying a delicious breakfast, Wang rushes through her busiest hours in the day. She gets up, gives her face a quick wash, takes a simple breakfast and rushed to the four rubbish dustbins beside the gate of her living area. There she checks the waste left by her neighbors to make sure it is sorted correctly.“Sorting rubbish will improve the environment for all of us and it only takes a minute,”Wang said.“I want to help my neighbors develop good habits.”As Wang spoke,an old man came by and threw a plastic bag full of rubbish into the dustbin marked “re cyclable(可回收)”.“Hey,please,there are some orange peels and fish bones in your bags,so they are supposed to be put into the dustbin marked ‘kitchen waste’,”Wang told him.Learning the old man was in a hurry,Wang let him go,opened the bag herself,picked out the kitchen waste and threw it in the right dustbin.Wang has been doing this every day from 7:30 a.m.to 9 a.m.and from 6 p.m.to 8 p.m. since March 10. She says people usually go downstairs and throw out rubbish at this time.Most people had no idea about sorting rubbish at first,but now 90%can put rubbish in thecorrect dustbin,Wang says.However,she plans to keep doing this job until all her neighbors sort correctly.34. When does Wang Fengqin usually get up in the morning?A. At 7:30 B.At 6:30 C.At 9 D.At 835.The old m an didn’t sort this rubbish p robably because _________.A.he was afraid of Wang B.he thought it was Wang’s jobC.he was in a hurry D.he didn’t know where the dustbi n was36.According to the passage,one shouldn’t put ________ in the dustbin marked “kitchen waste”.A. orange peelsB. broken toysC. terribly smelt foodD. fish bones37. From the passage,we can say that Wang Fengqin is _______.A.always busy with her housework B.always careless to throw out rubbishC.very cruel to others D. warm-hearted and ready to help othersCBBC Radio World Service38. This timetable tells you that you can learn English through the programs ______.A. in the magazine B.on TV C.over the radio D. in the book39.If you are weak in grammar,you can listen to the “Grammar Lesson” on _______.A.Tuesday and Friday B.Tuesday and Wednesday C.Friday and Saturday D.Saturday and Sunday40.If you want to know what’s happening around the world,you may choose the program ______.A.World News B.The Market 2 C.Talk About Business D.The Food Of Love41.Li n Tao wants to know how he’s getting on with his English,so he takes a test ______.A.in early January B.in middle FebruaryC.on a Monday in December D.on a Wednesday in MarchDWhy are so many people afraid to fail? Quite simply because we forget that failure is part of the human life.Every person is able to fight failure and succeed.Most parents try hard to prevent their children from knowing that they have failed.One way is to lower standards(标准).When a child finishes making a table,its mother describes it as“Fantastic”, though the table isn’t good at a11.Another way is to blame others.If John fails science.Mother will say his teacher is unfair or foolish.There,s a problem with the two ways.It makes a child unprepared for life in the real world.Young children need to learn that no one can be best at everything,no one can win all the time—and that it's p ossible to enjoy a game even when you don’t win.A child often feels terrible,of course, when he is not invited to a birthday party,or is not chosen into a football team.But parents should not say “It doesn’t matter”quickly.The young should be allowed to experience disappointment(失望)—and be helped to come out of it.Failure never gives people pleasure.It hurts both children and their parents.But it can be really good to your life when you learn to use it.You must learn to ask “Why did I fail?”.Don’t blame someone else.Ask yourself what you did wrong,how you can improve.If someone else can help,don’t be shy about asking them.Success just repeats what has been done.It is not as good a teacher as failure.You can learn how to give a good party from an unsuccessful one.42.How do most parents prevent their children from failure?A.They give them some presents.B.They don’t tell them that they have failed.C.They don’t blame other people.D.They help them to come out of failure.43.Which of the following does a person need to learn when he fails?A.It’s important to enjoy a game if he misses it.B.He’s the worst of a ll.C.It’s natural not to win a game and no one can win all the time.D.He’s shy about asking others for help.44.The writer of this article thinks that if a child fails,parents should ________.A. give him a quick prize B.advise him to repeat failureC. blame othersD. encourage him to learn to use failure45.The best title for this article may be _______.A.Learning from Failure B.Ways of Preventing Failure C.Reasons for Failure D.Getting Pleasure from Failure第Ⅱ卷非选择题(共60分)B)阅读下面短文,根据短文内容完成表格中所缺信息,每空一词。
2014年山西省高中阶段教育学校招生统一测试数学试卷一、选择题(共10小题,每小题3分,共30分)1.计算﹣2+3的结果是()A.1 B.﹣1 C.﹣5 D.﹣6考点:有理数的加法.分析:根据异号两数相加的法则进行计算即可.因为﹣2,3异号,且|﹣2|<|3|,所以﹣2+3=1.答案:A2.如图,直线AB、CD被直线EF所截,AB∥CD,∠1=110°,则∠2等于()A.65°B.70°C.75°D.80°考点:平行线的性质.分析:根据“两直线平行,同旁内角互补”和“对顶角相等”来求∠2的度数.如图,∵AB∥CD,∠1=110°,∴∠1+∠3=180°,即100+∠3=180°,∴∠3=70°,∴∠2=∠3=70°.答案:B3.下列运算正确的是()A.3a2+5a2=8a4B.a6•a2=a12C.(a+b)2=a2+b2D.(a2+1)0=1考点:完全平方公式;合并同类项;同底数幂的乘法;零指数幂.分析:A、原式=8a2,答案:项错误;B、原式=a8,答案:项错误;C、原式=a2+b2+2ab,答案:项错误;D、原式=1,答案:项正确.答案:D4.如图是我国古代数学家赵爽在为《周髀算经》作注解时给出的“弦图”,它解决的数学问题是()A.黄金分割 B.垂径定理C.勾股定理D.正弦定理考点:勾股定理的证明.分析:“弦图”,说明了直角三角形的三边之间的关系,解决的问题是:勾股定理.答案:C5.如图是由三个小正方体叠成的一个几何体,它的左视图是()A.B.C.D.考点:简单组合体的三视图.分析:根据从左边看得到的图形是左视图,可得答案.从左边看第一层一个正方形,第二层一个正方形,答案:C6.我们学习了一次函数、二次函数和反比例函数,回顾学习过程,都是按照列表、描点、连线得到函数的图象,然后根据函数的图象研究函数的性质,这种研究方法主要体现的数学思想是()A.演绎 B.数形结合C.抽象D.公理化考点:二次函数的性质;一次函数的性质;反比例函数的性质.分析:从函数分析式到函数图象,再利用函数图象研究函数的性质正是数形结合的数学思想的体现.学习了一次函数、二次函数和反比例函数,都是按照列表、描点、连线得到函数的图象,然后根据函数的图象研究函数的性质,这种研究方法主要体现了数形结合的数学思想.答案:B7.在大量重复试验中,关于随机事件发生的频率和概率,下列说法正确的是()A.频率就是概率B.频率和试验次数无关C.概率是随机的,和频率无关D.随着试验次数的增加,频率一般会越来越接近概率考点:利用频率估计概率.分析:根据大量重复试验事件发生的频率逐渐稳定到某个常数附近,可以用这个常数估计这个事件发生的概率解答.∵大量重复试验事件发生的频率逐渐稳定到某个常数附近,可以用这个常数估计这个事件发生的概率,∴A、B、C错误,D正确.答案:D8.如图,⊙O是△ABC的外接圆,连接OA、OB,∠OBA=50°,则∠C的度数为()A.30°B.40°C.50°D.80°考点:圆周角定理.分析:根据三角形的内角和定理求得∠AOB的度数,再进一步根据圆周角定理求解.∵OA=OB,∠OBA=50°,∴∠OAB=∠OBA=50°,∴∠AOB=180°﹣50°×2=80°,∴∠C=∠AOB=40°.答案:B9.PM2.5是指大气中直径小于或等于2.5μm(1μm=0.000001m)的颗粒物,也称为可入肺颗粒物,它们含有大量的有毒、有害物质,对人体健康和大气环境质量有很大危害.2.5μm用科学记数法可表示为()A.2.5×10﹣5m B.0.25×10﹣7m C.2.5×10﹣6m D.25×10﹣5m考点:科学记数法—表示较小的数.分析:绝对值小于1的正数也可以利用科学记数法表示,一般形式为a×10﹣n,和较大数的科学记数法不同的是其所使用的是负指数幂,指数由原数左边起第一个不为零的数字前面的0的个数所决定.2.5μm×0.000001m=2.5×10﹣6m;答案:C10.如图,点E在正方形ABCD的对角线AC上,且EC=2AE,直角三角形FEG的两直角边EF、EG分别交BC、DC于点M、N.若正方形ABCD的变长为a,则重叠部分四边形EMCN的面积为()A.a2B.a2C.a2D.a2考点:全等三角形的判定和性质;正方形的性质.分析:作EM⊥BC于点M,EQ⊥CD于点Q,△EPM≌△EQN,利用四边形EMCN的面积等于正方形MCQE的面积求解.解:作EM⊥BC于点M,EQ⊥CD于点Q,∵四边形ABCD是正方形,∴∠BCD=90°,又∵∠EPM=∠EQN=90°,∴∠PEQ=90°,∴∠PEM+∠MEQ=90°,∵三角形FEG是直角三角形,∴∠NEF=∠NEQ+∠MEQ=90°,∴∠PEM=∠NEQ,∵AC是∠BCD的角平分线,∠EPC=∠EQC=90°,∴EP=EN,四边形MCQE是正方形,在△EPM和△EQN中,,∴△EPM≌△EQN(ASA)∴S△EQN=S△EPM,∴四边形EMCN的面积等于正方形MCQE的面积,∵正方形ABCD的边长为a,∴AC=a,∵EC=2AE,∴EC=a,∴EP=PC=a,∴正方形MCQE的面积=a×a=a2,∴四边形EMCN的面积=a2,答案:D二、填空题(共6小题,每小题3分,共18分)11.计算:3a2b3•2a2b=6a4b4.考点:单项式乘单项式.分析:根据单项式和单项式相乘,把他们的系数分别相乘,相同字母的幂分别相加,其余字母连同他的指数不变,作为积的因式,计算即可.3a2b3•2a2b=(3×2)×(a2•a2)(b3•b)=6a4b4.答案:6a4b4.12.化简+的结果是.考点:分式的加减法.分析:原式通分并利用同分母分式的加法法则计算即可得到结果.原式=+==.答案:13.如图,已知一次函数y=kx﹣4的图象和x轴、y轴分别交于A、B两点,和反比例函数y=在第一象限内的图象交于点C,且A为BC的中点,则k=4.考点:反比例函数和一次函数的交点问题.分析:先确定B点坐标,根据A为BC的中点,则点C和点B关于点A中心对称,所以C点的纵坐标为4,再利用反比例函数图象上点的坐标特征可确定C点坐标,然后把C 点坐标代入y=kx﹣4即可得到k的值.把y=0代入y=kx﹣4得y=﹣4,则B点坐标为(0,﹣4),∵A为BC的中点,∴C点的纵坐标为4,把y=4代入y=得x=2,∴C点坐标为(2,4),把C(2,4)代入y=kx﹣4得2k﹣4=4,解得k=4.答案4.14.甲、乙、丙三位同学打乒乓球,想通过“手心手背”游戏来决定其中哪两个人先打,规则如下:三个人同时各用一只手随机出示手心或手背,若只有两个人手势相同(都是手心或都是手背),则这两人先打,若三人手势相同,则重新决定.那么通过一次“手心手背”游戏能决定甲打乒乓球的概率是.考点:列表法和树状图法.分析:首先根据题意画出树状图,然后由树状图求得所有等可能的结果和通过一次“手心手背”游戏能决定甲打乒乓球的情况,再利用概率公式即可求得答案.分别用A,B表示手心,手背.画树状图得:∵共有8种等可能的结果,通过一次“手心手背”游戏能决定甲打乒乓球的有4种情况,∴通过一次“手心手背”游戏能决定甲打乒乓球的概率是:=.答案:.15.一走廊拐角的横截面积如图,已知AB⊥BC,AB∥DE,BC∥FG,且两组平行墙壁间的走廊宽度都是1m,的圆心为O,半径为1m,且∠EOF=90°,DE、FG分别和⊙O 相切于E、F两点.若水平放置的木棒MN的两个端点M、N分别在AB和BC上,且MN 和⊙O相切于点P,P是的中点,则木棒MN的长度为(4﹣2)m.考点:切线的性质.分析:连接OB,延长OF,OE分别交BC于H,交AB于G,证得四边形BGOH是正方形,然后证得OB经过点P,根据勾股定理切点OB的长,因为半径OP=1,所以BP=2﹣1,然后求得△BPM≌△BPN得出P是MN的中点,最后根据直角三角形斜边上的中线等于斜边的一半即可求得.连接OB,延长OF,OE分别交BC于H,交AB于G,∵DE、FG分别和⊙O相切于E、F两点,∴OE⊥ED,OF⊥FG,∵AB∥DE,BC∥FG,∴OG⊥AB,OH⊥BC,∵∠EOF=90°,∴四边形BGOH是矩形,∵两组平行墙壁间的走廊宽度都是1m,⊙O半径为1m,∴OG=OH=2,∴矩形BGOH是正方形,∴∠BOG=∠BOH=45°,∵P是的中点,∴OB经过P点,在正方形BGOH中,边长=2,∴OB=2,∵OP=1,∴BP=2﹣1,∵p是MN和⊙O的切点,∴OB⊥MN,∵OB是正方形BGOH的对角线,∴∠OBG=∠OBH=45°,在△BPM和△BPN中∴△BPM≌△BPN(ASA)∴MP=NP,∴MN=2BP,∵BP=2﹣1,∴MN=2(2﹣1)=4﹣2,16.如图,在△ABC中,∠BAC=30°,AB=AC,AD是BC边上的中线,∠ACE=∠BAC,CE交AB于点E,交AD于点F.若BC=2,则EF的长为﹣1.考点:勾股定理;等腰三角形的性质;含30度角的直角三角形;等腰直角三角形.分析:过F点作FG∥BC.根据等腰三角形的性质和三角形内角和定理可得AF=CF,在Rt△CDF中,根据三角函数可得AF=CF=2,DF=,根据平行线分线段成比例可得比例式GF:BD=AF:AD,求得GF=4﹣2,再根据平行线分线段成比例可得比例式EF:EC=GF:BC,依此即可得到EF=﹣1.过F点作FG∥BC.∵在△ABC中,AB=AC,AD是BC边上的中线,∴BD=CD=BC=1,∠BAD=∠CAD=∠BAC=15°,AD⊥BC,∵∠ACE=∠BAC,∴∠CAD=∠ACE=15°,∴AF=CF,∵∠ACD=(180°﹣30°)÷2=75°,∴∠DCE=75°﹣15°=60°,在Rt△CDF中,AF=CF==2,DF=CD•t an60°=,∵FG∥BC,∴GF:BD=AF:AD,即GF:1=2:(2+),解得GF=4﹣2,∴EF:EC=GF:BC,即EF:(EF+2)=(4﹣2):2,解得EF=﹣1.答案:﹣1.三、解答题(共8小题,共72分)17.(1)计算:(﹣2)2•sin60°﹣()﹣1×;(2)分解因式:(x﹣1)(x﹣3)+1.考点:实数的运算;因式分解-运用公式法;负整数指数幂;特殊角的三角函数值.分析:(1)本题涉及零指数幂、乘方、特殊角的三角函数值、二次根式化简四个考点.针对每个考点分别进行计算,然后根据实数的运算法则求得计算结果;(2)根据整式的乘法,可得多项式,根据因式分解的方法,可得答案.解:(1)原式=2﹣2×=﹣2;(2)原式=x2﹣4x+3+1=(x﹣2)2.18.解不等式组并求出它的正整数解:.考点:解一元一次不等式组;一元一次不等式组的整数解.分析:先求出不等式组中每一个不等式的解集,再求出它们的公共部分就是不等式组的解集.解:解①得:x >﹣,解②得:x≤2,则不等式组的解集是:﹣<x≤2.则正整数解是:1,219.阅读以下材料,并按要求完成相应的任务.几何中,平行四边形、矩形、菱形、正方形和等腰梯形都是特殊的四边形,大家对于它们的性质都非常熟悉,生活中还有一种特殊的四边形﹣﹣筝形.所谓筝形,它的形状和我们生活中风筝的骨架相似.定义:两组邻边分别相等的四边形,称之为筝形,如图,四边形ABCD是筝形,其中AB=AD,CB=CD判定:①两组邻边分别相等的四边形是筝形②有一条对角线垂直平分另一条对角线的四边形是筝形显然,菱形是特殊的筝形,就一般筝形而言,它和菱形有许多相同点和不同点如果只研究一般的筝形(不包括菱形),请根据以上材料完成下列任务:如果只研究一般的筝形(不包括菱形),请根据以上材料完成下列任务:(1)请说出筝形和菱形的相同点和不同点各两条;(2)请仿照图1的画法,在图2所示的8×8网格中重新设计一个由四个全等的筝形和四个全等的菱形组成的新图案,具体要求如下:①顶点都在格点上;②所涉及的图案既是轴对称图形又是中心对称图形;③将新图案中的四个筝形都图上阴影(建议用一系列平行斜线表示阴影).考点:利用旋转设计图案;菱形的性质;利用轴对称设计图案.分析:(1)利用菱形的性质以及结合图形得出筝形的性质分别得出异同点即可;(2)利用轴对称图形和中心对称图形的定义结合题意得出答案.解:(1)相同点:①两组邻边分别相等;②有一组对角相等;③一条对角线垂直平分另一条对角线;④一条对角线平分一组对角;⑤都是轴对称图形;⑥面积等于对角线乘积的一半;不同点:①菱形的对角线互相平分,筝形的对角线不互相平分;②菱形的四边都相等,筝形只有两组邻边分别相等;③菱形的两组对边分别平行,筝形的对边不平行;④菱形的两组对角分别相等,筝形只有一组对角相等;⑤菱形的邻角互补,筝形的邻角不互补;⑥菱形的既是轴对称图形又是中心对称图形,筝形是轴对称图形不是中心对称图形;(2)如图所示:.20.某公司招聘人才,对应聘者分别进行阅读能力、思维能力和表达能力三项测试,其中甲、乙两人的成绩如下表(单位:分):阅读思维表达项目人员甲93 86 73乙95 81 79 (1)若根据三项测试的平均成绩在甲、乙两人中录用一人,那么谁将能被录用?(2)根据实际需要,公司将阅读、思维和表达能力三项测试得分按3:5:2的比确定每人的最后成绩,若按此成绩在甲、乙两人中录用一人,谁将被录用?(3)公司按照(2)中的成绩计算方法,将每位应聘者的最后成绩绘制成如图所示的频数分布直方图(每组分数段均包含左端数值,不包含右端数值,如最右边一组分数x为:85≤x <90),并决定由高分到低分录用8名员工,甲、乙两人能否被录用?请说明理由,并求出本次招聘人才的录用率.考点:频数(率)分布直方图;算术平均数;加权平均数.分析:(1)根据平均数的计算公式分别进行计算即可;(2)根据加权平均数的计算公式分别进行解答即可;(3)由直方图知成绩最高一组分数段85≤x<90中有7人,公司招聘8人,再根据x甲=85.5分,得出甲在该组,甲一定能被录用,在80≤x<85这一组内有10人,仅有1人能被录用,而x乙=84.8分,在这一段内不一定是最高分,得出乙不一定能被录用;最后根据频率=进行计算,即可求出本次招聘人才的录用率.解:(1)∵甲的平均成绩是:x甲==84(分),乙的平均成绩为:x乙==85(分),∴x乙>x甲,∴乙将被录用;(2)根据题意得:x甲==85.5(分),x乙==84.8(分);∴x甲>x乙,∴甲将被录用;(3)甲一定被录用,而乙不一定能被录用,理由如下:由直方图知成绩最高一组分数段85≤x<90中有7人,公司招聘8人,又因为x甲=85.5分,显然甲在该组,所以甲一定能被录用;在80≤x<85这一组内有10人,仅有1人能被录用,而x乙=84.8分,在这一段内不一定是最高分,所以乙不一定能被录用;由直方图知,应聘人数共有50人,录用人数为8人,所以本次招聘人才的录用率为=16%.21.如图,点A、B、C表示某旅游景区三个缆车站的位置,线段AB、BC表示连接缆车站的钢缆,已知A、B、C三点在同一铅直平面内,它们的海拔高度AA′,BB′,CC′分别为110米、310米、710米,钢缆AB的坡度i1=1:2,钢缆BC的坡度i2=1:1,景区因改造缆车线路,需要从A到C直线架设一条钢缆,那么钢缆AC的长度是多少米?(注:坡度:是指坡面的铅直高度和水平宽度的比)考点:解直角三角形的使用-坡度坡角问题.分析:过点A作AE⊥CC'于点E,交BB'于点F,过点B作BD⊥CC'于点D,分别求出AE、CE,利用勾股定理求解AC即可.解:过点A作AE⊥CC'于点E,交BB'于点F,过点B作BD⊥CC'于点D,则△AFB、△BDC、△AEC都是直角三角形,四边形AA'B'F,BB'C'D和BFED都是矩形,∴BF=BB'﹣B'F=BB'﹣AA'=310﹣110=200,CD=CC'﹣C'D=CC'﹣BB'=710﹣310=400,∵i1=1:2,i2=1:1,∴AF=2BF=400,BD=CD=400,又∵EF=BD=400,DE=BF=200,∴AE=AF+EF=800,CE=CD+DE=600,∴在Rt△AEC中,AC===1000(米).答:钢缆AC的长度是1000米.22.某新建火车站站前广场需要绿化的面积为46000米2,施工队在绿化了22000米2后,将每天的工作量增加为原来的1.5倍,结果提前4天完成了该项绿化工程.(1)该项绿化工程原计划每天完成多少米2?(2)该项绿化工程中有一块长为20米,宽为8米的矩形空地,计划在其中修建两块相同的矩形绿地,它们的面积之和为56米2,两块绿地之间及周边留有宽度相等的人行通道(如图所示),问人行通道的宽度是多少米?考点:一元二次方程的使用;分式方程的使用.分析:(1)利用原工作时间﹣现工作时间=4这一等量关系列出分式方程求解即可;(2)根据矩形的面积和为56平方米列出一元二次方程求解即可.解:(1)设该项绿化工程原计划每天完成x米2,根据题意得:﹣=4解得:x=2000,经检验,x=2000是原方程的解,答:该绿化项目原计划每天完成2000平方米;(2)设人行道的宽度为x米,根据题意得,(20﹣3x)(8﹣2x)=56解得:x=2或x=(不合题意,舍去).答:人行道的宽为2米.23.课程学习:正方形折纸中的数学.动手操作:如图1,四边形ABCD是一张正方形纸片,先将正方形ABCD对折,使BC 和AD重合,折痕为EF,把这个正方形展平,然后沿直线CG折叠,使B点落在EF上,对应点为B′.数学思考:(1)求∠CB′F的度数;(2)如图2,在图1的基础上,连接AB′,试判断∠B′AE和∠GCB′的大小关系,并说明理由;解决问题:(3)如图3,按以下步骤进行操作:第一步:先将正方形ABCD对折,使BC和AD重合,折痕为EF,把这个正方形展平,然后继续对折,使AB和DC重合,折痕为MN,再把这个正方形展平,设EF和MN相交于点O;第二步:沿直线CG折叠,使B点落在EF上,对应点为B′,再沿直线AH折叠,使D 点落在EF上,对应点为D′;第三步:设CG、AH分别和MN相交于点P、Q,连接B′P、PD′、D′Q、QB′,试判断四边形B′PD′Q的形状,并证明你的结论.考点:四边形综合题.分析:(1)由对折得出CB=CB′,在RT△B′FC中,sin∠CB′F==,得出∠CB′F=30°,(2)连接BB′交CG于点K,由对折可知,∠B′AE=∠B′BE,由∠B′BE+∠KBC=90°,∠KBC+∠GCB=90°,得到∠B′BE=∠GCB,又由折叠知∠GCB=∠GCB′得∠B′AE=∠GCB′,(3)连接AB′利用三角形全等及对称性得出EB′=NP=FD′=MQ,由两次对折可得,OE=ON=OF=OM,OB′=OP=0D′=OQ,四边形B′PD′Q为矩形,由对折知,MN⊥EF,于点O,PQ⊥B′D′于点0,得到四边形B′PD′Q为正方形。
山西大学附中2013~2014学年第二学期高三2月下半月(总第二次)月考试题英语试题考查时间:120分钟考查内容:大综合第一部分听力(共两节,满分10分)第一节(共5小题,每小题分,满分分)听下面五段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What will the woman do next?A. Turn down the radioB. Close the windowC. Turn up the radio2.Who will probably get the stamps?A. The womanB. The man's classmateC. The woman's sister3.Why can't the woman go with the man?A. She is a little tiredB. She's going to listen to musicC.She's going to the library4.When will the man see his parents?A. At 10:00B. At 8:00C. At 12:005.Where does the conversation take place?A. At homeB. At a travel agencyC. In a hotel第二节(共15小题; 每小题.分,满分分)听下面5段对话。
每段对话后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
每段对话读两遍。
听第6段材料.回答第6至7题。
6.What does the woman ask the man to send?A. A reportB. An e-mailC. A letter7.For whom will the man reserve a room in the Garden Hotel?A. For the womanB. For Mr. SimpsonC. For Mr. Black听第7段材料.回答第8至9题。
山西省太原重点中学2014届下学期高三年级4月月考英语试卷有答案第一部分: 听力(共两节,满分30分)第一节(共5小题: 每小题1.5分,满分7.5分)听下面5段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. What does the man mean?A. The woman should apologize to him.B. The woman should buy him a new book.C. The woman should take it easy though she lost his book.2. What does the woman ask the man to do?A. Wait a momentB. Have breakfastC. Buy some carrot juice3. What do you know about the man?A. He is out o f breath.B. He doesn’t like to swim.C. He hasn’t finished his homework.4. What is the man probably?A. A repairman.B. A housekeeper.C. A salesman.5. Why does the man apologize?A. He made a wrong delivery.B. He forgot to pay for shipping.C. He couldn’t take the sweater back.第二节(共15小题: 每小题1.5分,满分22.5分)听下面5段对话或独白。
每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
2022年山西省高中阶段教育学校招生统一考试英语压轴卷(一)答案1、I _____ of her since she left school three years ago. [单选题] *A. didn’t hearB. haven’t heard(正确答案)C. was not hearingD. shall not heard2、There are sixty _______ in an hour. [单选题] *A. hoursB. daysC. minutes(正确答案)D. seconds3、I think ______ time with my friends is fun for me.()[单选题] *A. spendB. spendC. spending(正确答案)D. spent4、Tom sits _______ Mary and Jane. [单选题] *A. amongB. between(正确答案)C. onD. next5、41.—________ do you take?—Small, please. [单选题] *A.What size(正确答案)B.What colourC.How manyD.How much6、Finally he had to break his promise. [单选题] *A. 计划B. 花瓶C. 习惯D. 诺言(正确答案)7、--Henry treats his secretary badly.--Yes. He seems to think that she is the _______ important person in the office. [单选题] *A. littleB. least(正确答案)C. lessD. most8、His handwriting is better than _____. [单选题] *A. mine(正确答案)B. myC. ID. me9、Can I _______ your order now? [单选题] *A. makeB. likeC. giveD. take(正确答案)10、Which is _______ city, Shanghai, Beijing or Chengdu? [单选题] *A. largeB. largerC. largestD. the largest(正确答案)11、____ is standing at the corner of the street. [单选题] *A. A policeB. The policeC. PoliceD. A policeman(正确答案)12、2.I think Game of Thrones is ________ TV series of the year. [单选题] * A.excitingB.more excitingC.most excitingD.the most exciting (正确答案)13、20.Sometimes it often rains ________ in my hometown in summer. [单选题] * A.heavyB.hardlyC.heavily(正确答案)D.strongly14、—Where did you get the book?—From my friend. I ______ it three days ago. ()[单选题] *A. lentB. borrowed(正确答案)C. keptD. returned15、There ______ a football match and a concert this weekend.()[单选题] *A. isB. haveC. will be(正确答案)D. will have16、Comparatively speaking, of the three civil servants, the girl with long hair is _____. [单选题] *A. more helpfulB. extremely helpfulC. very helpfulD. the most helpful(正确答案)17、52.I'm happy to ________ a birthday card from an old friend. [单选题] *A.buyB.makeC.loseD.receive(正确答案)18、The travelers arrived _______ Xi’an _______ a rainy day. [单选题] *A. at; inB. at; onC. in; inD. in; on(正确答案)19、--The last bus has left. What should we do?--Let’s take a taxi. We have no other _______ now. [单选题] *A. choice(正确答案)B. reasonC. habitD. decision20、—______? —Half a kilo.()[单选题] *A. How much are theyB. How much is itC. How much would you like(正确答案)D. How many would you like21、Julia’s on holiday in Shanghai _______. [单选题] *A. in a momentB. after a momentC. at the moment(正确答案)D. at any moment22、There are still some wild tigers alive. [单选题] *A. 聪明的B. 凶恶的C. 野生的(正确答案)D. 珍贵的23、My English teacher has given us some _______ on how to study English well. [单选题] *A. storiesB. suggestions(正确答案)C. messagesD. practice24、You wouldn' t have caught such ____ bad cold if you hadn' t been caught in ____?rain. [单选题] *A. a, /B. a, aC. a,the(正确答案)D. /, /25、The house is well decorated _____ the disarrangement of a few photos. [单选题] *A. exceptB. besidesC. except for(正确答案)D. in addition to26、_____, Martin can reach the branch of that tall tree at the gate. [单选题] *A. As a short manB. Being shortC. As he is shortD. Short as he is(正确答案)27、The early Americans wanted the King to respect their rights. [单选题] *A. 统治B. 满足C. 尊重(正确答案)D. 知道28、73.()about the man wearing sunglasses during night that he was determined to follow him.[单选题] *A. So curious the detective wasB.So curious was the detective(正确答案)C.How curious was the detectiveD.How curious the detective was29、17.Joe is a good student and he is busy ______ his studies every day. [单选题] *A.inB.with(正确答案)C.byD.for30、I used to take ____ long way to take the bus that went by ____ tunnel under the water. [单选题] *A. a, aB. a. theC. a, /(正确答案)D. the, a。
山西大学附属中学2014届高三第二学期第一次月考英语试题第一部分听力(共两节,满分10分)第一节(共5小题,每小题0.5分,满分2.5分)听下面五段对话。
每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Where are the speakers?A. In a car.B. On a planeC. On a train.2. What did the man do?A. He got some moneyB. He checked on something.C. He stopped at a traffic light.3. What does the number refer to?A. A telephone number.B. A room number.C. A ticket number.4. What is the man doing?A. Painting the walls.B. Building a small house.C. Fixing the top of the house.5. What does the woman mean?A. She agrees with the man.B. She doesn’t know Kim.C. Kim doesn’t deserve to be on the committee.第二节(共15小题; 每小题.0.5分,满分7.5分)听下面5段对话。
每段对话后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
每段对话读两遍。
听第6段材料.回答第6至7题。
6. What is the relationship between the speakers?A. Teacher and student.B. Doctor and patient.C. Director and actor.7. How will the woman get home?A. She will drive herself.B. She will take the bus.C. She will get a ride from the man.听第7段材料.回答第8至9题。
山西大学附中2014~2015学年高一第二学期4月(总第六次)模块诊断英语试题(考查时间:100分钟)(考查内容:以必修三前四个模块为主)注意:本考试严禁使用手机,电子词典或其它电子存储设备,违者按作弊..处理。
第Ⅰ卷(选择题,共60分)第一部分:阅读理解(共两节,满分30分)第一节(共15小题,每题1.5分,满分22.5分)阅读下列短文,从每题所给的A、B、C、D 四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
AThe following form shows the result of a survey of parents from five countries, who were asked why children are important to them. They were required to choose three main reasons from seven dealing with personal interests, family relations and social responsibility. Each number in the form is1. Compared with the parents in other countries Korean parents are least interested in ______.A. receiving cares in old ageB. raising responsible citizensC. keeping the family lineD. enjoying raising children2. In which country parents pay the most attention to learning from the experience?A. In Britain.B. In USA.C. In Japan.D. In Korea.3. From the above percentages, we can infer ______.A.parents in Western countries care more about family relationshipB.parents in Asia want their children to be useful for the society mostC.ideas of raising children between East and West are somewhat differentD.parents all over the world usually do not think about their own old agesBIt was a village in India. The people were poor. However, they were not unhappy. After all, their forefathers had lived in the same way for centuries.Then one day,some visitors from the city arrived. They told the villagers there were some people elsewhere who liked to eat frog’s legs. However, they did not have enough frogs of their own, and so they wanted to buy frogs from other places.This seemed like money for nothing. There were millions of frogs in the fields around, and they were no use to the villagers. All they had to do was catch them. Agreement was reached, and the children were sent into the fields to catch frogs. Every week a truck arrived to collect the catch and hand over the money. For the first time, the people were able to dream of a better future. But the dream didn’t last long.The change was hardly noticed at first, but it seemed as if the crops were not doing so well. More worrying was that the children fell ill more often, and, there seemed to be more insects around lately.The villagers decided that they couldn’t just wait to see the crops failing and the children getting weak. They would have to use the money earned to buy pesticides(杀虫剂) and medicine. Soon there was no money left.Then the people realized what was happening. It was the frog. They hadn’t been useless. They had been doing an important job --- eating insects. Now with so many frogs killed, the insects were increasing more rapidly. They were damaging the crops and spreading diseases.Now, the people are still poor. But in the evenings they sit in the village square and listen to sounds of insects and frogs. These sounds of the night now have a much deeper meaning.4. From paragraph 1 we learn that the villagers __________.A. worked very hard for centuriesB. dreamed of having a better lifeC. were poor but somewhat contentD. lived a different life from their forefathers5. Why did the villagers agree to sell frogs ?A. The frogs were easy money.B. They need money to buy medicine.C. They wanted to please the visitors.D. The frogs made too much noise.6. What might be the cause of the children’s sickness?A. The crops didn’t do well.B. There were too many insects.C. The visitors brought in diseases.D. The pesticides were overused.7. What can we infer from the last sentence of the text?A. Happiness comes from peaceful life in the country.B. Health is more important than money.C. The harmony between man and nature is important.D. Good old days will never be forgotten.CI hated dinner parties. But I decided to give them another shot because I’m in London. And my friend Mallery invited me. And because dinner parities in London are very different from those back in New York. There, “I’m having a dinner party means: “I’m booking a table for 12 at a restaurant you can’t afford and we’ll be sharing the cheque evenly, no matter what you eat.”Worse, in Manhattan there is always someone who leaves before the bill arrives. They’ll throw down cash, half of what they owe, and then people like me, who don’t drink, end up paying even more. But if I try touse the same trick, the hostess will shout: “Where are you going?” And it’s not like I can say I have somewhere to go: everyone know I have nowhere to go.But in London, dinner parties are in people’s homes. Not only that, the guests are an interesting mix. The last time I went to one, the guests were from France, India, Denmark and Nigeria; it was like a gathering at the United Nations in New York. The mix is less striking. It’s like a gathering at Bloomingdal e’s, a well-known department store.For New Yorkers, talking about other parts of the world means Brooklyn and Queens in New York. But at Mallery’s, when I said that I had been to Myanmar recently, people knew where it was. In New York people would think it was a usual new club.8. What does the word “shot” in Paragraph 1 probably mean?A. ChoiceB. TryC. StyleD. Goal9. What does the writer dislike most about dinner parties in New York?A. There is a strange mix of people.B. The restaurants are expensive.C. The bill is not fairly shared.D. People have to pay cash.10. What does the author think of the parties in London?A. A bit unusualB. Full of tricksC. Less costlyD. More interesting11. What is the author’s opinion of some New Yorkers from her experience?A. Easy-goingB. Self-centredC. GenerousD. ConservativeDEvery people has its own way of saying things, its own special expressions. Many everyday American expressions are based on colors.Red is a hot color. Americans often use it to express heat. They may say they are red hot about something unfair. When they are red hot they are very angry about something. The small hot tasting peppers found in many Mexican foods are called red hots for their color and their fiery taste. Fast loud music is popular with many people. They may say the music is red hot, especially the kind called Dixieland jazz.Pink is a lighter kind of red. People sometimes say they are in the pink when they are in good health. The expression was first used in America at the beginning of the twentieth century. It probably comes from the fact that many babies are born with a nice pink color that shows that they are in good health.The color green is natural for trees and grass. But it is an unnatural color for humans. A person who has a sick feeling stomach may say she feels a little green. A passenger on a boat who is feeling very sick from high waves may look very green.Sometimes a person may be upset because he does not have something as nice as a friend has, like a fast new car. That person may say he is green with envy. Some people are green with envy because a friend has more dollars or greenbacks. Dollars are called greenbacks because that is the color of the back side of the paper money.The color black is used often in expressions. People describe a day in which everything goes wrong as a black day. The date of a major tragedy is remembered as a black day. A blacklist isillegal now. But at one time, some businesses refused to employ people who were on a blacklist for belonging to unpopular organizations.In some cases, colors describe a situation. A brown out is an expression for a reduction in electric power. Brown outs happen when there is too much demand for electricity. The electric system is unable to offer all the power needed in an area. Black outs are common during World War Two. Officials would order all lights in a city turned off to make it difficult for enemy planes to finda target in the dark of night.12. Americans use “red hot” to describe the following EXCEPT____.A. something unfairB. small hot-tasting peppersC. the person who is very angryD. popular music like Dixieland jazz13. People use “in the pink” to express they are in good health because____.A. the expression has a very long historyB. the color pink makes people feel happyC. people think the color pink is gentler than redD. healthy babies are born with nice pink skin14. In the writer’s eyes,what is related to a black day?A. Being sent a beautiful giftB. Passing a very difficult testC. Being refused during an important interviewD. Being invited to an exciting party15. The writer wants to tell us ______in American everyday expressionsA. the most popular colorsB. different meanings of colorsC. how to use colors correctlyD. why Americans like to use colors第二节(共5小题,每小题1.5分,满分7.5分)根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
山西省2020年高中阶段教育学校招生统一考试(黑卷)英语笔试部分(共100分)五、单项选择(每小题1分,共10分)请你从每小题所给的A、B、C三个选项中,选出一个能填入空白处的最佳选项,并在答题卡上将该项涂黑。
21. I am going to clean up my neighborhood on Sunday. But to my surprise, Jenny's plan is the same as ----------。
A.mineB.yoursC.hers22. You may fail so many times on the road to success, -------- you will get there one day as long as you keep tryingA. andB.orC.but23. You will learn who are your real friends when you are in trouble. To have true friends, we should --------them nicely with our hearts rather than money.A.praiseB.treatC.share24. Since the outbreak(爆发)of COVID-19 doctors and nurses have been so -----to fight against the disease in the front line They are our heroes.A. CleverB. tiredC.brave25.— What do you think of studying online at home during the long vacation.-I believe it offers students a ------to improve their independence and self-control.A.chanceB. futureC.suggestion26. Basketball is a team job, which means all members should work------- with each other to win the game.A.closelyB.nearlyC. politely27.-It's a pity that we have to ------ songs or, movies on the Intenet nowadays.-In my opinion, it's a great way to protect intellectual property(知识产权)A. cut offB. look throughC.pay for28. Helping others is helping ourselves, so we should try our best to help those in need.-------,they will help us when we need help .AIn return B.In general C. In fact29. We will forget something even though we learn it well if we don't use it. So we ----review what we have learned from time to time.A. WillB.mustC.can30.--Excuse me, It's our first time Taiyuan. Can you tell us------?--Sure, tounao can be a good choice .A. what local food we should tasteB. How the weather at his time of the yearC. which places of interest could we choose to visit六、补全对话(每题1分,共5分)下面是手机群聊的界面,请根据聊天内容,从方框内所给的选项中选出能填入空白处的最佳选项,并在答题卡上将该项涂黑。
山西省2014年初中毕业生学业考试科目说明一、考试性质初中毕业生学业考试是义务教育阶段的终结性考试,目的是全面、准确地反映初中毕业生在学科学习目标方面所达到的水平。
该考试具有两考合一的功能,考试结果既是衡量学生是否达到毕业要求的主要依据,也是高中阶段学校招生的重要依据之一。
分。
具体说明如下。
语文一、命题原则1.依据《语文课程标准》,体现语文课程性质。
语文学业考试体现语文课程性质:工具性和人文性的统一。
突出综合性和实践性,突出对学生语文素养的评价。
考查学生适应实际生活需要的听说读写能力,发现、分析和解决问题的能力。
2.引导和促进语文教学全面落实《语文课程标准》所设立的课程目标与内容(7~9年级)。
语文学业考试关注学生认识中华文化的丰厚博大,关注当代文化生活及人类优秀文化,提高文化品位。
关注学生热爱祖国语言文字的情感,学生学习语文的基本方法。
关注学生想象力和创造潜能以及能主动进行探究性学习的能力。
3.关注学生语文学习的过程和结果,激励学生学习和促进教师教学。
语文学业考试有利于激发学生的语文学习兴趣,注意引导学生多读书、多积累。
重视在语言文字运用的实践中领悟文化内涵,提高学生的道德修养和审美情趣。
促进学生和谐发展,使他们形成良好的个性和健全的人格。
4.试题素材、考查方式等科学灵活。
语文学业考试命题面向全体学生,符合学生的身心发展特点,适应学生的认知水平,密切联系学生的经验世界和想象世界。
选材文质兼美,具有典范性,难易适度,具有启发性。
考查方式避免模式化,表述语言准确规范,力求公正、客观、全面、准确地评价学生通过初中教育阶段的语文学习所获得的发展状况和潜能。
二、考试目标与内容依据《语文课程标准》所提出的第四学段(7-9年级)课程目标与考试内容的几个方面:识字与写字;阅读;写作;口语交际和综合性学习,试题中各部分包括的考查内容如下:三、考试形式及题型1.考试形式采用书面笔试闭卷形式,试卷满分120分,考试时间150分钟。
2014年山西省特岗教师笔试真题答案及解析(英语)二、单选15分(15*1)6、答案A、That all depends答案:Athat all depends. 那要看情况了。
(基本上知道,所谓看情况,就是说在几种可能性里面。
)7、答案:B、The a8、答案:D、Nothing9、答案:B、Musn’t10、答案:C、Or11、答案:B、So did his sister12、答案:D、Having studied13、答案:C、Mind他和他丈夫都有相同的想法,他们都希望女儿去上大学mind 想法. 例如: I can read your mind 我知道你的想法.A 灵魂,B 精神D 心灵, 心脏以上都不符合.14、答案:B、On behalf of15、答案:A、owed toowe to把 ... 归功于 ...年轻的作家将自己的成功归功于老师的鼓励。
16、B、Had17、C、To sleep18、C、Whatever19、A、which what解析:in the school which was named after a hero是个定语从句,which was named after a hero 修饰the school。
后面的that修饰的是强调句。
强调句it is/was+被强调部分+that+句子。
强调句可以去掉it is/was和that也不影响句子的意思。
20、D、Three times as many三、完形填空(15*1)21. A. month B. minute C. time D. day22.A. asking B. listening C. following D. drilling23. A. what B. when C. that D. who24. A. pick up B. turn away C. set out D. think about25. A. mean B. say C. suggest D. show26. A. word B. thing C. memory D. condition27. A. people B. facts C. techniques D. ways28. A. learner B. teacher C. example D. driver29. A. new B. fast C. beautiful D. cheap30. A. never B. almost C. seldom D. ever31. A. make B. understand C. master D. give32. A. knows B. shows C. orders D. encourages33. A. thirsty B. tired C. bored D. free34. A. of B. for C. about D. into35. A. measures B. notes C. place D. time四、阅读理解(共三节,40分)36、Which of he following can be the title of the passage ?A、The problem of the left-handed child37、What does the writer imply accroding to the passage?B、Left-handed children need special consideration38、the traditional policy in teaching handwriting has ____D、Created possible speech and emotional problems for some children39. Why did Paris build many rental systems?B. To improve the traffic environment40. How many languages does the machine at a bicycle rental system offer?C. Four41. According to the passage, what problems will Paris face?B. How to park their bikes46、D、Every system of the body responds to laugher in some important or position way47、A、A sense of humor is not an inborn ability48、C、Your sense of humor is something you can develop over a lifetime49、F、Many people are worried about no good sense of humor because they aren′t good joke tellers50、E、Life depends on air,food and water,but it is made easier to live with a good sense of humor第三节(5*2=10)51. care 52. tunnels 53. if 54. careful 55. take五.书面表达20根据下面提示,请用英语写一篇100字左右的小短文,标题已给出。
2018年山西省中考英语试题(有答案)山西省2018年高中阶段教育学校招生统一考试英语(Word版)听力测试(共20分)第一题情景反应这一大题共有5个小题,每小题你将听到一句话。
请你从A、B、C三个选项中选出一个最佳选项,并将其字母标号填入题前的括号内。
1.A。
It is May 5th.B。
It is 9 o'clock.C。
It is Friday.XXX.B。
Bananas.C。
Chicken.3.A。
Yes。
I can.B。
No。
she can't.C。
Sorry。
I don't know.4.A。
Me XXX.B。
That sounds great.C。
I don't think so.5.A。
Three hours.B。
In two days.XXX.第二题对话理解这一大题共有5个小题,每小题你将听到一组对话和一个问题。
请从A、B、C三个选项中选出一个最佳选项,并将其字母标号填入题前的括号内。
6.A。
XXX.B。
XXX.C。
Blue.7.A。
They're on the dresser.B。
They're in the drawer.C。
They're under the bed.8.A。
The traffic.B。
XXX.C。
XXX hobbies.9.A。
Talking on the phone.B。
Chatting online.C。
XXX.10.A。
He is going to take a party.B。
He is going to take a walk with his XXX.C。
He is going to stay at home and sleep.第三题语篇理解这一大题你将听到一段对话。
请你根据短文内容和所提出的5个问题,请你从A、B、C三个选项中选出一个最佳选项,并将其字母标号填入题前的括号内。
11.Who is the man?A。
2014年山西省高中阶段教育学校招生统一考试考物理试卷(仿真一)一、选择题(每小题3分,共30分。
在每小题给出的四个选项中,只有一项符合题目要求,请选出并在答题卡上涂黑)1、根据生活经验,你认为下列数据符合实际情况的是( )A.一个鸡蛋的质量大约是500gB. 人正常步行的平均速度是10m/sC. 让人感到舒适的气温大约是55℃D. 家用电饭煲的额定功率约为800W2、关于声音现象的下列说法错误的是()A.宇航员在太空中不能直接对话,是因为声音不能在真空中传播B.超声波可用于除去人体内结石,是利用声波能传递能量C.城市道路两旁植树种草有利于减弱噪声污染D.诗句“不敢高声语,恐惊天上人”中“高”是指声音的音调高3、把高2 cm的发光棒立于焦距为5 cm的凸透镜前,在凸透镜后的光屏上成了4 cm高的像物体离凸透镜的距离可能是()A.7.5 cm B.12.5 cm C.4.5 cm D.10 cm4、关于温度、内能和热量,下列说法正确的是()A .温度越高的物体所含的热量越多B .物体温度为0℃时内能为零C .双手互搓,手的内能不会增加D .内能可自动地从高温物体转移到低温物体5、2010年温哥华冬奥会女子500米短道速滑决赛中,世界纪录保持者王濛以43秒048夺得冠军,成为蝉联冬奥金牌中国第一人.下列说法正确的是()A.王濛踮起后脚尖做起跑姿势时对冰面的压强变小B.王濛匀速滑行时对冰面的压力与冰面对她的支持力是一对平衡力C.王濛加速冲刺时运动状态不变D.王濛冲过终点后继续滑行是因为她具有惯性6、如图所示,用手指压圆珠笔芯使它弯曲,同时手指感到疼痛,这个实验不能说明()A .力的作用是相互的B .力是物体对物体的作用C .力可以改变物体的形状D .重力的方向竖直向下7、某同学的爸爸携全家驾车去太湖渔人码头游玩,在途经太湖路时,路边蹿出一只小猫,他紧急刹车才没撞到它.如图为紧急刹车前后汽车行驶的时间--速度图象,根据图象分析不正确的是( )A .紧急刹车发生在8:27B .在8:23~8:27时间段内他驾车匀速前进C .在8:20~8:30时间段内他驾车的最大速度为60千米/时D .在8:20~8:30时间段内他驾车的平均速度为60千米/时8、小华同学设计了一个检测天然气泄漏的电路如图所示.电源电压恒定不变;R0为定值电阻;R 为气敏电阻,其阻值随天然气浓度变化曲线如图乙所示.下列说法正确的是( )A . 天然气浓度增大时,电压表示数变小B . 天然气浓度增大时,电路消耗的总功率变小C . 天然气浓度减小时,电流表示数变大D . 天然气浓度减小时,电压表与电流表示数的比值不变9、在如图所示的电路中,当闭合开关S后,发现两灯都不亮,电流表的指针几乎指在零刻度线,电压表指针则有明显偏转,该电路中的故障可能是()A.灯泡L2短路B.灯泡L2断路C.灯泡L1断路D.两个灯泡都断路10、关于动圈式扬声器说法中正确的是()A.动圈式扬声器音圈中有强电流通电时才会发声B.动圈式扬声器工作时是将机械能转化为电能C.动圈式扬声器的工作原理是通电线圈在磁场中受力运动D.动圈式扬声器工作时线圈中通过的电流不一定是交变电流二、填空题(每空1分,共10分)11、寒假的某一天,小洁随爸爸一起外出,突然发现汽车的前窗玻璃蒙上一层雾气,前方道路看不太清楚。
英语试卷 第1页(共32页)英语试卷 第2页(共32页)绝密★启用前山西省2015年高中阶段教育学校招生统一考试英 语(满分120分,考试时间120分钟)第I 卷 (共75分)I .听力试题(每小题1分,共15分)第一题 情景反应 这一大题共有5小题,每小题你将听到一组对话。
请你从每小题所给的A 、B 、C 三幅图中,选出与你所听到的信息相关联的一项。
1.ABC2.ABC3.ABC4.ABCABC第二题 对话理解 这一大题共有5个小题,每小题你将听到一组对话和一个问题。
请你从每小题所给的A 、B 、C 三个选项中,选出一个最佳选项。
6. A. Honest. B. Helpful. C. Active. 7. A. At 8:30. B. At 8:45.C. At 9:00. 8. A. At a bank.B. On the street.C. In a store. 9. A. An astronaut.B. A director.C. An actress.10. A. Because the bus is always late. B. Because she thinks Frank told a lie. C. Because Frank played games all night.第三大题 语篇理解 这一大题你将听到一篇短文。
请你根据短文内容和所提出的5个问题,从每小题所给的A 、B 、C 三个选项中,选出一个最佳选项。
11. How will you feel after exercise according to the passage? A. Sleepy.B. Happy.C. Relaxed.12. How can you change your friends who don’t take exercise? A. By asking them to join me. B. By letting them make new friends. C. By telling them the importance of exercise.13. Why don’t you have to worry about the uncomfortable feeling? A. Because the feeling doesn’t last for long. B. Because the feeling will disappear next time. C. Because everyone else may have the same feeling. 14. What will you do if you don’t like joining in teams? A. I’ll change myself. B. I’ll give up exercise. C. I’ll do exercise alone.15. What does the passage mainly tell us?A. We can advise our friends and family to exercise.B. We must know about some advantages of exercise.C. We should exercise no matter what excuses we have.II .单项选择(每小题1分,共15分)请你从每小题所给的A 、B 、C 三个选项中,选出可以填入空白处的最佳选项。
2014年山西省高中阶段教育学校招生统一考试数学试题(含答案全解全析)第Ⅰ卷(选择题,共30分)一、选择题(本大题共10个小题,每小题3分,共30分.在每个小题给出的四个选项中,只有一项符合题目要求)1.计算-2+3的结果是()A.1B.-1C.-5D.-62.如图,直线AB,CD被直线EF所截,AB∥CD,∠1=110°,则∠2等于()A.65°B.70°C.75°D.80°3.下列运算正确的是()A.3a2+5a2=8a4B.a6·a2=a12C.(a+b)2=a2+b2D.(a2+1)0=14.下图是我国古代数学家赵爽在为《周髀算经》作注解时给出的“弦图”,它解决的数学问题是()A.黄金分割B.垂径定理C.勾股定理D.正弦定理5.下图是由三个小正方体叠成的一个几何体,它的左视图是()6.我们学习了一次函数、二次函数和反比例函数,回顾学习过程,都是按照列表、描点、连线得到函数的图象,然后根据函数的图象研究函数的性质.这种研究方法主要体现的数学思想是()A.演绎B.数形结合C.抽象D.公理化7.在大量重复试验中,关于随机事件发生的频率与概率,下列说法正确的是()A.频率就是概率B.频率与试验次数无关C.概率是随机的,与频率无关D.随着试验次数的增加,频率一般会越来越接近概率8.如图,☉O是△ABC的外接圆,连结OA,OB,∠OBA=50°,则∠C的度数为()A.30°B.40°C.50°D.80°9.PM2.5是指大气中直径小于或等于2.5μm(1μm=0.000001m)的颗粒物,也称为可入肺颗粒物.它们含有大量的有毒、有害物质,对人体健康和大气环境质量有很大危害.2.5μm用科学记数法可表示为()A.2.5×10-5mB.0.25×10-7mC.2.5×10-6mD.25×10-5m10.如图,点E在正方形ABCD的对角线AC上,且EC=2AE,直角三角形FEG的两直角边EF,EG分别交BC,DC于点M,N,若正方形ABCD的边长为a,则重叠部分四边形EMCN的面积为()A.a2B.a2C.a2D.a2第Ⅱ卷(非选择题,共90分)二、填空题(本大题共6个小题,每小题3分,共18分)11.计算:3a2b3·2a2b=.的结果是.12.化简+-13.如图,已知一次函数y=kx-4的图象与x轴,y轴分别交于A,B两点,与反比例函数y=在第一象限内的图象交于点C,且A为BC的中点,则k=.14.甲、乙、丙三位同学打乒乓球,想通过“手心手背”游戏来决定其中哪两人先打.规则如下:三人同时各用一只手随机出示手心或手背,若只有两人手势相同(都是手心或都是手背),则这两人先打;若三人手势相同,则重新决定.那么通过一次“手心手背”游戏能决定甲打乒乓球的概率是.15.一走廊拐角的横截面如图所示,已知AB⊥BC,AB∥DE,BC∥FG,且两组平行墙壁间的走廊宽度都是1m.的圆心为O,半径为1m,且∠EOF=90°,DE,FG分别与☉O相切于E,F两点.若水平放置的木棒MN的两个端点M,N分别在AB和BC上,且MN与☉O相切于点P,P 是的中点,则木棒MN的长度为m.16.如图,在△ABC中,∠BAC=30°,AB=AC,AD是BC边上的中线,∠ACE=∠BAC,CE交AB 于点E,交AD于点F,若BC=2,则EF的长为.三、解答题(本大题共8个小题,共72分.解答应写出文字说明、证明过程或演算步骤)17.(本题共2个小题,每小题5分,共10分)(1)计算:(-2)2·sin60°--×;(2)分解因式:(x-1)(x-3)+1.18.(本题6分)解不等式组----并求出它的正整数解.19.(本题6分)阅读以下材料,并按要求完成相应的任务.如果只研究一般的筝形(不包括菱形),请根据以上材料完成下列任务:(1)请说出筝形和菱形的相同点和不同点各两条;(2)请仿照图1的画法,在图2所示的8×8网格中重新设计一个由四个全等的筝形和四个全等的菱形组成的新图案,具体要求如下: 顶点都在格点上; 所设计的图案既是轴对称图形又是中心对称图形;③将新图案中的四个筝形都涂上阴影(建议用一系列平行斜线表示阴影).图1图220.(本题10分)某公司招聘人才,对应聘者分别进行阅读能力、思维能力和表达能力三项测试,其中甲、乙两人的成绩如下表(单位:分):(1)若根据三项测试的平均成绩在甲、乙两人中录用一人,那么谁将被录用?(2)根据实际需要,公司将阅读、思维和表达能力三项测试得分按3∶5∶2的比确定每人的最后成绩,若按此成绩在甲、乙两人中录用一人,谁将被录用?(3)公司按照(2)中的成绩计算方法,将每位应聘者的最后成绩绘制成如图所示的频数分布直方图(每组分数段均包含左端数值,不包含右端数值,如最右边一组分数x为:85≤x<90),并决定由高分到低分录用8名员工,甲、乙两人能否被录用?请说明理由,并求出本次招聘人才的录用率.21.(本题7分)如图,点A,B,C表示某旅游景区三个缆车站的位置,线段AB,BC表示连接缆车站的钢缆,已知A,B,C三点在同一铅直平面内,它们的海拔高度AA',BB',CC'分别为110米,310米,710米,钢缆AB的坡度i1=1∶2,钢缆BC的坡度i2=1∶1,景区因改造缆车线路,需要从A到C直线架设一条钢缆,那么钢缆AC的长度是多少米?(注:坡度i是指坡面的铅直高度与水平宽度的比)22.(本题9分)某新建火车站站前广场需要绿化的面积为46000平方米,施工队在绿化了22000平方米后,将每天的工作量增加为原来的1.5倍,结果提前4天完成了该项绿化工程.(1)该项绿化工程原计划每天完成多少平方米?(2)该项绿化工程中有一块长为20米,宽为8米的矩形空地,计划在其中修建两块相同的矩形绿地,它们的面积之和为56平方米,两块绿地之间及周边留有宽度相等的人行通道(如图所示),问人行通道的宽度是多少米?23.(本题11分)课题学习:正方形折纸中的数学动手操作:如图1,四边形ABCD是一张正方形纸片,先将正方形ABCD对折,使BC与AD重合,折痕为EF,把这个正方形展平,然后沿直线CG折叠,使B点落在EF上,对应点为B'.数学思考:(1)求∠CB'F的度数;(2)如图2,在图1的基础上,连结AB',试判断∠B'AE与∠GCB'的大小关系,并说明理由.解决问题:(3)如图3,按以下步骤进行操作:第一步:先将正方形ABCD对折,使BC与AD重合,折痕为EF,把这个正方形展平,然后继续对折,使AB与DC重合,折痕为MN,再把这个正方形展平,设EF和MN相交于点O;第二步:沿直线CG折叠,使B点落在EF上,对应点为B';再沿直线AH折叠,使D点落在EF 上,对应点为D';第三步:设CG,AH分别与MN相交于点P,Q,连结B'P,PD',D'Q,QB'.试判断四边形B'PD'Q的形状,并证明你的结论.图1图2图324.(本题13分)综合与探究:如图,在平面直角坐标系xOy中,四边形OABC是平行四边形,A,C两点的坐标分别为(4,0),(-2,3),抛物线W经过O,A,C三点,D是抛物线W的顶点.(1)求抛物线W的解析式及顶点D的坐标;(2)将抛物线W和▱OABC一起先向右平移4个单位后,再向下平移m(0<m<3)个单位,得到抛物线W'和▱O'A'B'C'.在向下平移的过程中,设▱O'A'B'C'与▱OABC的重叠部分的面积为S,试探究:当m为何值时S有最大值,并求出S的最大值;(3)在(2)的条件下,当S取最大值时,设此时抛物线W'的顶点为F,若点M是x轴上的动点,点N是抛物线W'上的动点,试判断是否存在这样的点M和点N,使得以D,F,M,N为顶点的四边形是平行四边形?若存在,请直接写出点M的坐标;若不存在,请说明理由.答案全解全析:一、选择题1.A根据有理数加法法则,异号两数相加,取绝对值较大的加数的符号,再用较大的绝对值减去较小的绝对值.-2+3=1.故选A.2.B∵AB∥CD,∠1=110°,∴∠3=110°.∵∠3+∠2=180°,∴∠2=180°-110°=70°.故选B.3.D A项:3a2和5a2是同类项,合并同类项得8a2,故本选项错误;B项:a6·a2=a6+2=a8,故本选项错误;C项:由完全平方公式得(a+b)2=a2+b2+2ab,故本选项错误;D项:由任意一个不等于0的数的0次幂等于1可知(a2+1)0=1,故本选项正确.故选D.4.C中国是发现和研究勾股定理最古老的国家.《周髀算经》记载了古代数学家赵爽证明勾股定理的“弦图”.故选C.5.C立体图形的左视图是从物体左侧看到的一个平面图形,所以该几何体的左视图是竖直放置的两个小正方形,故选C.6.B数形结合是数学中常用的思想方法,用数形结合方法可以使复杂问题简单化、抽象问题具体化,能够变抽象的数学语言为直观的图形、抽象思维为形象思维,我们学习函数时利用数形结合思想有助于掌握函数的图象和性质,故选B.7.D随机事件A发生的频率,是指在相同条件下重复n次试验,事件A发生的次数m与试验总次数n的比值,与试验次数有关,选项B错误;但频率又不同于概率,频率本身是随机的,在试验前不能确定,无法从根本上来刻画事件发生的可能性的大小,而概率是一个确定的常数,是客观存在的,与试验次数无关,选项A错误;在大量重复试验时,频率会逐步趋于稳定,总在某个常数附近摆动,且摆动幅度很小,那么这个常数叫做这个事件发生的概率.由此可见,随着试验次数的增多,频率会越来越接近于概率,可以看作是概率的近似值,选项C错误,而选项D正确.8.B根据圆周角定理得∠C=∠AOB,∵∠OBA=50°,OA=OB,∴∠AOB=80°,∴∠C=40°.故选B.9.C 2.5μm=0.0000025m,将0.0000025用科学记数法表示为2.5×10-6.故选C.评析科学记数法的表示形式为a×10n,其中1≤|a|<10,n为整数.确定n的值时,要看把原数变成a时,小数点移动了多少位,n的绝对值与小数点移动的位数相同.当原数的绝对值大于1时,n是正数;当原数的绝对值小于1时,n是负数.10.D过点E作EO⊥CD,EH⊥BC,显然四边形EHCO为正方形,∴EH=EO,∠HEO=90°.∵∠GEF=∠HEO=90°,∴∠OEN=∠MEH.∵∠EHM=∠EON=90°,∴△EHM≌△EON,∴S四边形EMCN=S正方形EHCO.∵EC=2AE,∴=.∵AB=a,∴S正方形ABCD=a2,∴S正方形EHCO=S正方形ABCD=a2,所以重叠部分四边形EMCN的面积为a2.故选D.二、填空题11.答案6a4b4解析3a2b3·2a2b=6a4b4.12.答案-解析+-=--+-=-=-.13.答案4解析过点C作CE⊥y轴,垂足为E.∵OA∥CE,A为BC的中点,∴OB=OE.∵一次函数y=kx-4与y轴交于点B,∴点B的坐标为(0,-4),∴OE=4,即点C的纵坐标为4.令=4,得x=2,∴点C的坐标为(2,4).把(2,4)代入y=kx-4,得k=4.14.答案解析分别用A,B表示手心,手背.画树状图如下:∴共有8种等可能的结果,通过一次“手心手背”游戏能决定甲打乒乓球有4种情况,∴通过一次“手心手背”游戏能决定甲打乒乓球的概率是=.15.答案(4-2)解析连结OB,延长OE交AB于点I,延长OF交BC于点H,由题意可知四边形OIBH为正方形.∵P为的中点,∴显然O、P、B三点共线.∵OE=OF=1m,EI=FH=1m,∴OH=2m.又∵OP=OE=1m,OB=OH=2m,∴PB=OB-OP=(2-1)m.由切线的性质可得MN⊥OP,则MN⊥BP.易知△BMN为等腰直角三角形,∴MN=2PB=2(2-1)=(4-2)m.16.答案-1解析在DF上取点G,使DG=DC,连结CG.∵AB=AC,AD为BC边上的中线,∴AD⊥BC,∠CAD=∠BAD=∠BAC=15°,∴△CDG为等腰直角三角形,∴∠DCG=45°.∵∠ACE=∠BAC,∴∠ACE=∠CAD,∴AF=CF.∵∠ACE=∠BAC=15°,∠DCG=45°,∠ACB=°-=75°,∴∠FCG=75°-15°-45°=15°,∴∠BAD=∠FCG.又∵∠AFE=∠CFG,AF=CF,∴△AFE≌△CFG(ASA),∴EF=FG.∵AB=AC,AD为BC边上的中线,∴CD=BC=1.∵∠DCF=75°-15°=60°,∴DF=DC=.又∵DG=DC=1,∴EF=FG=DF-DG=-1.三、解答题17.解析(1)原式=4×-2×2(4分)=2-4=-2.(5分)(2)原式=x2-3x-x+3+1(2分)=x2-4x+4(3分)=(x-2)2.(5分)18.解析解不等式 ,得x>-.(1分)解不等式 ,得x≤2.(2分)∴原不等式组的解集为-<x≤2.(4分)∴原不等式组的正整数解为1,2.(6分)19.解析(1)本小题是开放题,答案不唯一.两条相同点和两条不同点每答对一条给1分,共4分.参考答案如下:相同点: 两组邻边分别相等; 有一组对角相等;③一条对角线垂直平分另一条对角线;④一条对角线平分一组对角;⑤都是轴对称图形;⑥面积等于对角线乘积的一半.不同点: 菱形的对角线互相平分,筝形的对角线不互相平分; 菱形的四边都相等,筝形只有两组邻边分别相等;③菱形的两组对边互相平行,筝形的对边不平行;④菱形的两组对角分别相等,筝形只有一组对角相等;⑤菱形的邻角互补,筝形的邻角不互补;⑥菱形既是轴对称图形,又是中心对称图形,筝形是轴对称图形,不是中心对称图形.(2)本小题是开放题,答案不唯一,只要符合题目要求均得2分,未按要求涂阴影的扣1分.参考答案如下:20.解析(1)∵甲==84(分),(1分)乙==85(分),(2分)∴乙>甲,∴乙将被录用.(3分)(2)∵'甲==85.5(分),(4分)'乙==84.8(分),(5分)∴'甲>'乙,∴甲将被录用.(6分)(3)甲一定能被录用,而乙不一定能被录用.(7分)理由如下:由直方图知成绩最高一组分数段85≤x<90中有7人,公司招聘8人,又'甲=85.5分,显然甲在该组,所以甲一定能被录用;在80≤x<85这一组内有10人,仅有1人能被录用,而'乙=84.8分,在这一组内不一定是最高分,所以乙不一定能被录用.(9分)由直方图知,应聘人数共有50人,录用人数为8人,所以本次招聘人才的录用率为×100%=16%.(10分)21.解析如图,过点A作AE⊥CC'于点E,交BB'于点F,过点B作BD⊥CC'于点D.(1分)则△AFB,△BDC和△AEC都是直角三角形,四边形AA'B'F,BB'C'D和BFED都是矩形.(2分)∴BF=BB'-FB'=BB'-AA'=310-110=200,CD=CC'-DC'=CC'-BB'=710-310=400.(3分)∵i1=1∶2,i2=1∶1,∴AF=2BF=400,BD=CD=400.又∵FE=BD=400,DE=BF=200,∴AE=AF+FE=800,CE=CD+DE=600.(5分)∴在Rt△AEC中,AC==000(米).(6分)答:钢缆AC的长度为1000米.(7分)22.解析(1)设该项绿化工程原计划每天完成x平方米,根据题意,得(1分)---=4.(2分)整理,得6x=12000.解得x=2000.(3分)经检验,x=2000是原方程的解.(4分)答:该项绿化工程原计划每天完成2000平方米.(5分)(2)设人行通道的宽度是y米,根据题意,得(6分)(20-3y)(8-2y)=56.(7分)整理,得3y2-32y+52=0,解得y1=2,y2=(不合题意,舍去).(8分)答:人行通道的宽度是2米.(9分)23.解析(1)解法一:如图1,由对折可知,∠EFC=90°,CF=CD.(1分)∵四边形ABCD为正方形,∴CD=CB.∴CF=CB.又由折叠可知,CB'=CB.∴CF=CB'.(2分)∴在Rt△B'FC中,sin∠CB'F==.∴∠CB'F=30°.(3分)图1解法二:如图1,连结B'D,由对折知,EF垂直平分CD,∴B'C=B'D.由折叠知,B'C=BC.∵四边形ABCD为正方形,∴BC=CD.∴B'C=CD=B'D,∴△B'CD为等边三角形.(2分)∴∠CB'D=60°.∵EF⊥CD,∴∠CB'F=∠CB'D=×60°=30°.(3分)(2)∠B'AE=∠GCB'.(4分)证法一:如图2,连结B'D.同(1)中解法二,△B'CD为等边三角形,(5分)∴∠CDB'=60°.∵四边形ABCD为正方形,图2∴∠CDA=∠DAB=90°.∴∠B'DA=30°.∵DB'=DA,∴∠DAB'=∠DB'A.∴∠DAB'=(180°-∠B'DA)=75°.∴∠B'AE=∠DAB-∠DAB'=90°-75°=15°.(6分)由(1)知∠CB'F=30°,∵EF∥BC,∴∠B'CB=∠CB'F=30°.由折叠知,∠GCB'=∠B'CB=×30°=15°.∴∠B'AE=∠GCB'.(7分)证法二:如图2,连结B'B交CG于点K,由对折知,EF垂直平分AB,∴B'A=B'B.∴∠B'AE=∠B'BE.(5分)∵四边形ABCD为正方形,∴∠ABC=90°.∴∠B'BE+∠KBC=90°.由折叠知,∠BKC=90°,∴∠KBC+∠GCB=90°.∴∠B'BE=∠GCB.(6分)又由折叠知,∠GCB=∠GCB',∴∠B'AE=∠GCB'.(7分)(3)四边形B'PD'Q为正方形.证法一:如图3,连结AB',由(2)知,∠B'AE=∠GCB'.由折叠知,∠GCB'=∠PCN,∴∠B'AE=∠PCN.由对折知,∠AEB'=∠CNP=90°,AE=AB,CN=BC.图3又∵四边形ABCD是正方形,∴AB=BC,∴AE=CN.∴△AEB'≌△CNP.∴EB'=NP.(9分)同理可得,FD'=MQ,由对称性可知,EB'=FD'.∴EB'=NP=FD'=MQ.由两次对折可知,OE=ON=OF=OM.∴OB'=OP=OD'=OQ,∴四边形B'PD'Q为矩形.(10分)由对折知,MN⊥EF于点O,∴PQ⊥B'D'于点O.∴四边形B'PD'Q为正方形.(11分)证法二:如图3,由折叠和正方形ABCD得,∠GB'C=∠B=90°.由(1)知,∠CB'F=30°,∴∠GB'E=60°.由对折知,∠BEF=90°.∴∠EGB'=30°,∴EB'=GB'.由折叠知,GB'=GB,∴EB'=GB.(8分)由对折知,∠MNC=∠B=90°.∵∠PCN=∠GCB,∴△PNC∽△GBC.∴===.∴PN=GB.∴PN=EB'.(9分)以下同证法一.(11分)24.解析(1)∵抛物线W过原点O(0,0),∴设抛物线W的解析式为y=ax2+bx(a≠0).∵抛物线W经过A(4,0),C(-2,3)两点,∴-解得-(2分)∴抛物线W的解析式为y=x2-x.(3分)∵y=x2-x=(x-2)2-1,∴顶点D的坐标为(2,-1).(4分)(2)由▱OABC得,CB∥OA,CB=OA=4.又∵C点的坐标为(-2,3),∴B点的坐标为(2,3).(5分)如图,过点B作BE⊥x轴于点E,由平移可知,点C'在BE上,且BC'=m.∴BE=3,OE=2,∴EA=OA-OE=2.设C'B'与BA交于点G,C'O'与x轴交于点H,∵C'B'∥x轴,∴△BC'G∽△BEA.(6分)∴=,即=,∴C'G=BC'=m.(7分)由平移知,▱O'A'B'C'与▱OABC的重叠部分四边形C'HAG是平行四边形.∴S=C'G·C'E=m(3-m)(8分)=-m2+2m=--+.∵-<0,且0<m<3,∴当m=时,S有最大值为.(9分)(3)存在这样的点M和点N.点M的坐标分别为M1(0,0),M2(4,0),M3(6,0),M4(14,0).(13分)评析本题综合考查了平行四边形的性质、二次函数的图象和性质、相似三角形的性质等.考查学生综合运用数学知识和数形结合思想、分类讨论思想、函数与方程思想等多种数学思想方法来解决问题的能力.综合性较强,有一定难度.。
成都市2014年高中阶段教育学校统一招生考试(含成都市毕业初三会考)A 卷(选择题:共 100 分)第一部分听力测试(共 25 小题,25 分)一、听句子,根据所听到的内容选择正确答语。
每小题念两遍。
(共6小题,每小题1 分;计 6 分)1.A.Thank you.B.You are welcome.C.Do you want more?2.A.He’s in the library.B.He’s at home.C.He’s from Russian.3.A.She is tall.B.She is outgoing.C.She likes art.4.A.Sorry to hear that.B.Yes, I’d love to.C.Yes, you are right.5.A.Do some sports.B.Clean up your room.C.Take this medicine.6.A.They are American.B.They are beautiful.C.They have a sweet voice.二、听句子,选出与所听句子相符的图片,并将代表图片的字母填在答题卡的相应位置,每小题念两遍。
(共 4 小题,每小题1 分;计 4 分)7.___________ 8.___________9.___________10.___________三、听对话,根据对话内容选择正确的答案。
每小题念两遍。
(共10 小题,每小题1 分;计10 分)11.A.It’s cloudy. B.It’s raining. C.It’s sunny.12.A.The bank.B.The bookstore.C.The post office.13.A.In a college.B.In a school. C.In a hospital.14.A.Excited. B.Worried. C.Relaxed.15.A.Small. B.Medium. C.Large.16.A.Nothing. B.A little. C.A lot.17.A.No, she doesn’t.B.She isn’t.C.Yes, she does.18.A.Mary. B.Linda. C.Jane.19.A.After-school activities.B.Looking after the old.C.Study plans.20.A.At 7:00. B.At 7:50. C.At 8:20.四、听短文,根据短文内容选择正确的答案。