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2013年联考提前招生数学模拟卷一、选择题(每小题4分,共40分)1.若n满足(n-2011)2+(2012-n)2=1,则(2012-n)(n-2011)等于 ( ) a、1b、0c、d、12如图,正方形abcd及正方形aefg,连结be、cf、dg,则be:cf:dg等于( )a1:1:1 b1:1 c1:1 d1:2:13如图,已知aom=60,在射线om上有点b,使得ab与ob的长度都是整数,由此称b是“完美点”,若oa=8,则图中完美点b的个数为 ( )a 1 b 2 c 3 d 44有12条不同的直线(n=1,2,10),其中,则这10条直线的交点个数最多为 ( )a 61 b55 c 48 d45第3题abcdefg第2题5设一元二次方程的两根为98,99,在二次函数中,若取0,1,2,3,100,则的值能被6整除的个数是 ( )a 33 b34 c 65 d 676若二次函数在的范围内至少有一个的值使成立,则的取值范围是 ( )a b c d 7观察图(1),容易发现图(2)中的1=2+3把图(2)推广到图(3),其中有8个角:1,2,8可以验证1=2+5+8成立除此之外,恰好还有一组正整数x,y,z,满足2xyz8,使得1=x+y+z,那么这组正整数(x,y,z)= ( )a(3,4,7) b.(3,5,7) c. (3,3,7) d.(4,6,7) 8如图,四边形abcd是o的内接四边形,acbd于点e,若ab=4,cd=3,则o的半径为 ( )a3 b c2.5 d 第8题9如图,边长为1的正方形efgh在边长为3的正方形abcd所在平面上移动,始终保持ef/ab. 线段cf的中点为m,dh的中点为n,则线段mn的长为 ( )a b c d10.若对于所有的实数,恒为负数,且,则m的值为 ( )a b3 c d二、填空题:(每小题4分,共32分)11. 若关于的方程的解是非负数,则的取值范围是 12如图,在正九边形abcdefghi中,若ab+ac=3,则对角线ae= 13如图,梯形abcd中,adbc,a=90,e为cd的中点,be=6.5,梯形abcd的面积为30,那么ab+bc+da= 14如图,在rtabc中,ab=bc=6,点e,f分别在边ab,bc上,ae=3,cf=1,p是斜边ac上的一个动点,则pef周长的最小值为 第12题第14题第13题15一个圆内接八边形相邻四条边长为1,另四条边长是2,则其面积为 第17题16如果甲的身高数或体重数至少有一项比乙大,则称甲不亚于乙,在200个小伙子中,如果某人不亚于其他199人,就称他为棒小伙子,那么,200个小伙子中的棒小伙子最多可能有 17如图,在abc中,已知d是边bc上一点,满足ad=ac,e是边ad的中点,满足bad=ace,若,则为 18已知关于的不等式组只有5个整数解,则的取值范围是 三、解答题:(每题12 分,共48 分)19如图,将oabc放置在平面直角坐标系xoy内,已知ab边所在直线的解析式为:y = x + 4(1)点c的坐标是( , );abcdeoxyp(2)若将oabc绕点o逆时针旋转90得obde,bd交oc于点p,求obp的面积;(3)在(2)的情形下,若再将四边形obde沿y轴正方向平移,设平移的距离为x(0x8),与oabc重叠部分面积为s,试写出s关于x的函数关系式,并求出s的最大值20如图,ab为o的直径,c为圆上一点,ad平分bac交o于点d,deac交ac的延长线于点e,fb是o的切线交ad的延长线于点f.(1)求证:de是o的切线.(2)若de = 3,o的半径为5,求be的长.21某种乐器有10个孔,依次记作第1孔,第2孔,第10孔,演奏时,第n孔与其音色的动听指数d之间满足关系式d=n2+kn+90,该乐器的最低动听指数为4k+106,求常数k的取值范围.22若干名工人装卸一批货物,每名工人的装卸速度相同。如果这些工人同时工作,则需10小时装卸完毕。现改变装卸方式,开始一个人干,以后每隔t小时(t为整数)增加一个人干,每个参加装卸的人都一直干到结束,且最后增加的一个人装卸的时间是第一个人装卸时间的四分之一,问:(1)按改变后的装卸方式,自始至终需要多少时间?(2)参加装卸的工人有多少名?2013年五校联考提前招生模拟卷一、选择题1b 2b 3d 4a 5d 6c 7c 8c 9b 10a 二、填空题11且 12 3 13 17 14 15 16 200 178 18. 三、解答题19解:(1)c(4,4)3(2)证得等腰直角obp,4ob=4,sobp=45yabcdeoxfghkp(3)当0x4时,of=gb=x,sofk=,shbg=sopg=,s五边形kfbhp=abcdeoxfghpy=7当x=2时,smax=f(2)=68当4x8时,hb=fb=x4,ch=8x,scph=10当x=4时,smax=f(4)=411当x=2时,s取得最大值为61220解:(1)如图,连接od.因为ad平分bac,所以1=2.又因为oa=od,所以1=3.所以2=3.所以odae.因为deae,所以deod.而点d在o上,所以de是o的切线. (5分)(2)如图,连接be与od交于点h,作ogae于点g. 则 og = de =3, eg= do=5,所以ag = = 4,ae = 4+5= 9,因为eaod, ao=ob,所以ho=,hd = 5-=,故he = ,be = (12分)21解:抛物线d=n2+kn+90的对称轴为(1)当 即时,有,故 解得 (不合题意) 3分(2)当,即时,有,故 解得 (不合题意) 6分(3)当,即时,在取值范围内,d有最低动听指数,且为故 化简得解得 10分综上所述,的取值范围是 12分22解:(1)设装卸工作需小时完成,则第一人干了小时,最后一个人干了小时,两人共干活小时,平均每人干活小时,由题意知,第二人与倒数第二人,第三人与倒数第三人,平均每人干活的时间也是小时。 据题设,得,解得(小时).答:装卸工作需16小时完成。 5分(2)共有人参加装卸工作,由于每隔小时增加一人,因此最后一人比第一人少干小时,按题意,得,即. 解此不定方程得,即参加的人数或3或4或5或7或13. 12分2013年联考提前招生英语模拟试卷 姓名 分数 一 选择题 ( 每小题1 分,共15 分)从a b c d 四个选项中,选出可以填入空白处的最佳答案。( )1the smiths dont usually like staying at _ hotels , but last summer they spent a few days at a very nice hotel by _ sea. a / ;a b the ; the c / ; the d the ; a( )2. we _ to paint the whole house but finished only the front part that day . a set about b set up c set out d set down( )3.the teacher raised his voice so that he could make himself _ a hear b to be heard c heard d hearing( )4 my brother can ride a horse and swim ,and he can shoot_ a as well b also c as well as d either( )5.this is all_ i have ever seen. a where b that c what d which( )6 i dont know about you ,im sick and tired of this weather .i cant stand all this rain .a i dont care b its hard to say c so am i d i hope so ( )7 she gave us food and clothing and asked for nothing _ a in case b in addition c on purpose d in return ( )8.it is known _ us that tigers belong to the cat family . a with b by c to d at( )9.the kind lady devoted all her life to _ those homeless children . a help b helping c being helped d be helped( )10 do you think _ true that _ is hard work that leads to success? a it / it b it / what c that / it d what / which( )11.he failed the exam again. he_ his teachers advice. a should not have followed b should not follow c should follow d should have follow( )12 only when he went abroad _ the importance of learning foreign languages. a he realized b did he realize c he did realize d he had realized( )13 the reason _ _ he changed his mind is_ _ he would not like to get into trouble. a for what ; that b why; that c for which; because d which ; that( )14 the other day he ran across one of his friends on the street , whom he _for ages. a didnt see b hasnt seen c hadnt seen d doesnt see( )15 after graduation, he took all works to london _ get a good job there . a so that b in order that c in order to d as to二完形填空 (每小题1 分,共15分)janes mother worked on the farm from dawn till dark, which just could make ends meet. to make jane live a16life. mother was very carful about spending money. 17jane didnt understand her. every day mother was busy with her 18 while jane was studying at school, so they had little time to enjoy themselves. one day, mother realized jane was unhappy and even 19to her, so she decided to go 20 with jane to make jane happy. on sunday morning they went happily to the snowfield. since they were 21in white clothes, the manager advised them to buy ski clothes. he said22there was an accident, they might be easily 23 in their ski clothes. mother couldnt24them, so she refused. then they went skiing in their white clothes. they were skiing happily on the25 when suddenly the snowfield began to 26. it was the snowslide(雪崩). they ran a long way and 27the snowslide finally, but they couldnt find their way. later, a helicopter was flying above, 28people on it couldnt see or hear them. jane was 29because she had hurt her head seriously and 30 dropped on the snow. just then an idea struck mother. she pierced (刺破) her wrist 31 and then bright red blood dropped down on the snowfield. a red sos was on the snow. at last jane 32 , but mother died. every time i 33 the blood dropping onto the snowfield, i feel 3 4. i believe anyone who hears the tragedy will 35 mother for her selfless love to her daughter. 16.a. happyb. healthyc. busyd. meaningful17. a. moreoverb. however c. anywayd. though18. a. writing b. housework c. workd. research19. a. unfriendly b. loyal c. kindd. cruel20. a. skating b. dancing c. hikingd. skiing21. a. all b. bothc. eitherd. every22. a. now that b. in case c. as thoughd. even if23. a. searched b. examinedc. foundd. caught24. a. pay b. managec. affordd. stand25. a. mountain b. farmlandc. playgroundd. snowfield26. a. change tb. melc. shaked. jump27. a. escaped b. passed c. experiencedd. overcame28. a. but b. soc. sinced. while29. a. in despair b. in dangerc. in peaced. in ruins30. a. hair b. bloodc. tearsd. jewels31. a. carefully b. slowlyc. immediatelyd. hardly32.a. cried b. died c. woked. survived33. a. find out b. think ofc. suffer from d. come across34. a. satisfied b. curiousc. anxiousd. painful35. a. admire b. envyc. rewardd. thank 三阅读理解 (每小题2分,共40分) (a )why are so many people so afraid of failure? quite simple because no one tells us how to fail so that failure becomes an experience that will lead to growth .we forget that failure is part of the human condition and that every person has the right to failure. most parents work hard at either preventing failure or protecting their chidren from the knowledge that they have failed. one way is to lower standards. a mother describes her childs hastily made table as “perfect”,even though it wobbles(摇晃)on uneven legs. another way is to shift blame. if john fails science, his teacher is unfair or stupid. the trouble with faiure prevention devices is that they leave a child unequipped for life in the real word . the young needno one can win all the timeand that it is possible to enjoy a game even when you dont win. a child whos not invited to a birthday party, who doesns make the honor roll or the baseball team, feels terrible, of course, but parents should not offer a quick consolation(安慰)prize or say, “it doesnt matter” because it does. the young should be allowed to allowed to experience disappointment and be helped to master it. failure is never pleasurable. it hurts adults and child alike. but it can make a positive contribution to your life once you learn to use it. step one is to ask “why did i fail?”resist the natural impulse to balme someone else. ask yourself what you did wrong and how you can improve .if someone else can help, dont be shy about inquiring. to learn that no one can be best at everying.36. this passage mainly tells us about _.a. the reason why people fail b how to fail c the ways to prevent failures d the importance of facing failures37.thesecondparagraphtellsus_.a.howamotherpraisedherchildrenb.twowaysoffailurepreventionmostparentsusedwhentheirchildrenfailc.howtoshiftblamed.parentsshouldblametheirchildrenatthepropertime38 when the writer says “every person has the right to fail”, he means “_-”a the world is full of failures b everyone makes mistakesc failures are not common in our lives d no one can grow up without failures39 by saying “protecting their children from the knowledge that they have failed”. the writer means that most parents try their best_a to let their children know that they wont fail.b to teach their children about the knowledge of failurec to provide their children with the knowledge against failure .d to keep their children from realizing that they failed.40 according to the passage , if you are facing failure ,you should _a blame someone else b face it yourself and not ask others for helpc forget it as soon as possible d think it over and find ways to improve it ( b )it feels like every time my mother and i start to have a conversation, it turns into an argument. we talk about something as simple as dinner plans and suddenly, my mother will push the conversation into world war iii. shell talk about my lack of a bright future because i dont plan to be a doctor. and much to her disappointment, i dont want to do any job related to science, either. in fact, when i was pushed to say that i planned to major(主修) in english and communications, she nearly had a heart attack.“why cant you be like my co-workers son?” shebemoansall the time. her co-workers son received a four-year scholarship and is now earning 70,000 dollars a year as an engineer. i dont know what to answer except that i simply cant be like mr. perfect as ive called the unnamed co-workers son. i cant be like him. im the type of person who loves to help out in the community, write until the sun goes down, and most of all, wants to achieve a career because i love it, not because of fame (名声) or salary.i understand why my mother is worried about my future major. ive seen my mother struggle to raise me on her small salary and work long hours. she leaves the house around 6:30 am and usually comes home around 5 pm or even 6 pm. however, i want her to know that by becoming a doctor, it doesnt mean ill be successful. id rather follow my dreams and create my own future.41. which of the following topics do the writer and his mother often talk about?a. the writers studies.b. the writers future jobc. dinner plansd. wars around the world42. we can infer from paragraph 1 that the writers mother _.a. doesnt want the writer to major in englishb. doesnt think the writer should be a doctorc. gets along very well with the writerd. doesnt think working in the science field is a good idea43. the underlined word “bemoans” in paragraph 2 most probably means _.a. agreesb. shoutsc. complainsd. smiles44. which of following statements is probable true ab; out the writer?a. he wants to be like his mothers co-workers son.b. he wants to find a job in his community in the future.c. he doesnt think his mothers co-workers son is perfect.d. he wants to do so something he really likes in the future.45 we can know from the last paragraph that_a the writers mother works very hard for the family b the writer doesnt know what his future will be likec the writer doesnt think being a doctor is good d the writer sometimes thinks his mothers advice is very good ( c )a british judge ruled recently that swearing (咒骂) at the police is not a crime (犯罪), setting off a heated debate(辩论) across the nation.denzel cassiues harvey , 19 ,was stopped outside his home in hackney , east london , by police officers who thought he was carrying drugs. he was fined 50 by a count for repeatedly (重复)swearing at the police who were searching him for drugs.but judge david bean overturned(推翻) the decision of the previous(以前的) court . he said that police officers hear foul language too frequently to be offended (冒犯). judge david bean said the foul language used by harvey was unlikely to cause the police officers harm , alarm or distress(苦恼), because it was so “common”.the judge may have been right to cancel(取消) the fine in this individual case . but there are massive problems with what he said when making the ruling .foul language is frequently directed at police officers, but this doesnt mean that it should be accepted as part of their working life.how can we justify(证明) this ? there are the people who devote their lives to protecting us.what does it say about our respect for the police , if we see them as people who can be spoken to abusively (粗暴地) without a second thought?there are many times that police officers do not penalize member of the public for swearing at them and it would be impractical(不切实际的) to punish every person that abuses(辱骂) them with foul language .but if officers feel that someone has crossed the line , they should not be criticized for reacting(反应) to this . they are there to make these judgement and we need to allow them to do so.the question is not what is said, but how the language is used. if a person swears with genuine(真实的) aggression (进攻,侵犯)and aims to cause fear they should be penalized.the police are enforcers (实施者)of the law, not mute(无声的) punch bags.(沙袋)46 why was denzel cassiues harvey stopped by police officers? a because he was carrying drugs in his pocket. b because the police suspected that he was carrying drugs c because he swore at police officers on duty. d because he was a wanted criminal.47 what do you know about david bean ? a he is 19 years old b he offended police officers b he canceled the 50 fine d he was a police officer48 what does the writer think of judge david beans ruling ? a he disapproves of david beans ruling b he thinks it right for judge david bean to cancel the fine. c he thinks judge david beans ruling sounded reasonable. d he thinks highly of david beans ruling.49 what does the underlined word “penalize” mean ? a offend b abuse c criticize d punish50 which of the following is the best title ? a law needs to protect the police, too b swearing at the police should be banned c denzel cassiues harveys case set off a heated debate d judges are supposed to support the police ( d )what exactly is a lie ? is it anything we say which we know is untrue ?or is it something more than that ?for example, suppose a friend wants to borrow some money from you. you say “i wish i could hel

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