上宝中学(初三)
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2017学年上宝中学初三12月份月考卷Part 2 Vocabulary and GrammarII. Choose the best answer:26.What’s the correct phonetic symbol of the word ”speech”?A. [spitʃ]B. [spiːʃ]C. [spiːtʃ]D. [spiʃ]27.Which of the underlined part pronounces different from others?A. confidentB. computerC. contactD. common28.We will have a ____ business trip abroad .A. two monthB. two-monthC. two-month’sD. two-months29.After the earthquake ,some decided to leave and __ choose to stay to rebuild their hometown.A. otherB. the otherC. othersD. the others30.Everyone except Tom and Mary __ there when the meeting begin.A. are B .is C. was D. were31.John was the third ____ to make a speech on the stage.A. to askB. askedC. being askedD. to be asked32.I do not know what it is, so I went to _____ the information in the encyclopedia.A. look intoB. look atC. look upD. look out33.It is ___ to see ____ big planes at the exhibition.A. excitement ...soB. exciting .. soC. excited, suchD. exciting, such34.We went ____ the river ____ the next ferry and the chief were already there.A. across….byB. through...byC. through....onD. across...on35.The creator of comic strips designed some bubbles____ thoughts to express the ideas of the characters.A. withB. aboutC. forD. in36.Words ____ thought or speech bubbles to make the comic strip more interesting.A. adds forB. are addedC. are added toD. are added with37.The Turkish security forces were__ the survivors in the ruins.A. search ofB. searchingC. in search forD. in search of38.Bob spent fifteen months___. Ann,____, took care of children on her own.A. in prison ,in additionB. in the prison ,whileC, in prison ,meanwhile D, in the prison, on the other hand39.She ___ a bad cold for a week and still can’t get rid of it.A.caught B, has caught C. had D, has had40.”____ your new neighbor ____?” Tall and a little fat.”A.What does....likeB. How is ..likeC.What does...look like D. How does ... look like41.This outing depends on __ the weather is fine.A. whichB. whetherC. ifD. that42.Would you please tell me ____?A. Why he didn’t go to France?B. When will he go to FranceC. when he has gone to FranceD. why he hadn’t gone to France?43.Which of the following sentences is right?A. Comic strips should be full with actionB. A comic strip needs to be funny or dramatic with an excited finish.C. The article will probably be about how comic strips effect people who read them.D. The characters need strong personalities which will be understood in the pictures.44.--- Would you like me to bring you a cup of coffee?----____.A.Yes, I’d like toB. Its a pleasureC. Yes, pleaseD. It doesn’t matter.45.---I get at least half an hour of exercise almost every day.----Oh, great!___A.Good luckB. Cheer upC. Same to youD. Keep it up.III. Complete the following passage with the words or phrases in the box. Each word or phrase can only be used once.(将下列单词或词组填入空格。
2015上宝中学招生简章∙字号:大中小∙2015-03-11 14:06:30∙出自:上海市民办上宝中学(初中)∙浏览:730上海市闵行区∙上海地区频道摘要:2015上海小升初已经悄悄开始了,上海上宝中学怎么样?招生情况是怎样的?民办学校收费贵吗?上宝中学怎么面试?上宝中学好不好?家长怎么评价?本文将为您解答。
上海市民办上宝中学2015上海小升初已经悄悄开始了,上海上宝中学怎么样?招生情况是怎样的?民办学校收费贵吗?上宝中学怎么面试?上宝中学好不好?家长怎么评价?本文将为您解答。
2015上宝中学招生简章2014上宝中学中考成绩上宝中学家长详细评价上宝中学面试解读上宝中学学校详解【上宝中学简介】民办上宝中学2002年由上海七宝资产经营有限公司主办,上海市民办上宝中学2002年由上海七宝资产经营有限公司主办,上海市实验性示范性高中上海中学协办,合作创建的一所民办初中。
上宝中学办学规模每个年级8个班,四个年级32个班,在校学生1400名左右。
上宝中学的办学目标是成为“闵行一流,上海前茅”的初中,为上一级学校输送全面发展的优秀学生。
学校性质:民办初级中学【2015上宝中学招生简章】招生规模:预计招收8个教学班,每个班40人左右,有理科班,共320人。
招生范围:面向全市招生(闵行区学籍占七成)录取方式:小五+择校+推荐+其他报名条件:具有本市常住正式户口,或CW9居住证的五年级应届毕业生。
考试形式:笔试+身体素质考试。
春季考试成绩十分重要,其中有体育测试。
收费情况:7500元/学期,另有午餐,住宿(09年起1200元/学期),校车费等。
(校车费较贵,一天30元左右)预录情况:2014预录四校41人,预录八校57人(其中上中34人,七宝43人)。
关于小五班上海徐汇区盛华进修学校(包含华育和上宝小五班),每学年度开办三期,分别集中在:暑期班(大约暑假第一周和最后一周)、秋季班(9月-次年1月间周日上午或下午)、春季班(次年2月-5月间周日上午或下午)。
上海市上宝中学数学圆几何综合章末训练(Word版含解析)一、初三数学圆易错题压轴题(难)1.如图所示,CD为⊙O的直径,点B在⊙O上,连接BC、BD,过点B的切线AE与CD 的延长线交于点A,OE//BD,交BC于点F,交AB于点E.(1)求证:∠E=∠C;(2)若⊙O的半径为3,AD=2,试求AE的长;(3)在(2)的条件下,求△ABC的面积.【答案】(1)证明见解析;(2)10;(3)48 5.【解析】试题分析:(1)连接OB,利用已知条件和切线的性质证明:OE∥BD,即可证明:∠E=∠C;(2)根据题意求出AB的长,然后根据平行线分线段定理,可求解;(3)根据相似三角形的面积比等于相似比的平方可求解.试题解析:(1)如解图,连接OB,∵CD为⊙O的直径,∴∠CBD=∠CBO+∠OBD=90°,∵AB是⊙O的切线,∴∠ABO=∠ABD+∠OBD=90°,∴∠ABD=∠CBO.∵OB、OC是⊙O的半径,∴OB=OC,∴∠C=∠CBO.∵OE∥BD,∴∠E=∠ABD,∴∠E=∠C;(2)∵⊙O的半径为3,AD=2,∴AO=5,∴AB=4.∵BD∥OE,∴=,∴=,∴BE=6,AE=6+4=10(3)S △AOE==15,然后根据相似三角形面积比等于相似比的平方可得S △ABC = S △AOE ==2.已知:图1 图2 图3(1)初步思考:如图1, 在PCB ∆中,已知2PB =,BC=4,N 为BC 上一点且1BN =,试说明:12PN PC = (2)问题提出:如图2,已知正方形ABCD 的边长为4,圆B 的半径为2,点P 是圆B 上的一个动点,求12PD PC +的最小值. (3)推广运用:如图3,已知菱形ABCD 的边长为4,∠B ﹦60°,圆B 的半径为2,点P 是圆B 上的一个动点,求12PD PC -的最大值. 【答案】(1)详见解析;(2)5;(3)最大值37DG =【解析】【分析】(1)利用两边成比例,夹角相等,证明BPN ∆∽BCP ∆,得到PN BN PC BP =,即可得到结论成立;(2)在BC 上取一点G ,使得BG=1,由△PBG ∽△CBP ,得到12PG PC =,当D 、P 、G 共线时,12PD PC +的值最小,即可得到答案; (3)在BC 上取一点G ,使得BG=1,作DF ⊥BC 于F ,与(2)同理得到12PG PC =,当点P 在DG 的延长线上时,12PD PC -的值最大,即可得到答案. 【详解】(1)证明:∵2,1,4PB BN BC ===,∴24,4PB BN BC =⋅=, ∴2PB BN BC =⋅,∴BN BP BP BC=, ∵B B ∠=∠,∴BPN BCP ∆∆∽,∴12PN BN PC BP ==, ∴12PN PC =; (2)解:如图,在BC 上取一点G ,使得BG=1,∵242,212PB BC BG PB ====, ∴,PB BC PBG PBC BG PB=∠=∠, ∴PBG CBP ∆∆∽,∴12PG BG PC PB ==, ∴12PG PC =, ∴12PD PC DP PG +=+; ∵DP PG DG +≥, ∴当D 、P 、G 共线时,12PD PC +的值最小, ∴最小值为:22435DG =+=;(3)如图,在BC 上取一点G ,使得BG=1,作DF ⊥BC 于F ,与(2)同理,可证12PG PC=,在Rt△CDF中,∠DCF=60°,CD=4,∴DF=CD•sin60°=23,CF=2,在Rt△GDF中,DG=22(23)537+=,∴12PD PC PD PG DG -=-≤,当点P在DG的延长线上时,12PD PC-的值最大,∴最大值为:37DG=.【点睛】本题考查圆综合题、正方形的性质、菱形的性质、相似三角形的判定和性质、两点之间线段最短等知识,解题的关键是学会构建相似三角形解决问题,学会用转化的思想思考问题,把问题转化为两点之间线段最短解决,题目比较难,属于中考压轴题.3.在直角坐标系中,⊙C过原点O,交x轴于点A(2,0),交y轴于点B(0,).(1)求圆心C的坐标.(2)抛物线y=ax2+bx+c过O,A两点,且顶点在正比例函数y=-的图象上,求抛物线的解析式.(3)过圆心C作平行于x轴的直线DE,交⊙C于D,E两点,试判断D,E两点是否在(2)中的抛物线上.(4)若(2)中的抛物线上存在点P(x0,y0),满足∠APB为钝角,求x0的取值范围.【答案】(1)圆心C的坐标为(1,);(2)抛物线的解析式为y=x2﹣x;(3)点D、E均在抛物线上;(4)﹣1<x0<0,或2<x0<3.【解析】试题分析:(1)如图线段AB是圆C的直径,因为点A、B的坐标已知,根据平行线的性质即可求得点C的坐标;(2)因为抛物线过点A、O,所以可求得对称轴,即可求得与直线y=﹣x的交点,即是二次函数的顶点坐标,利用顶点式或者一般式,采用待定系数法即可求得抛物线的解析式;(3)因为DE∥x轴,且过点C,所以可得D、E的纵坐标为,求得直径AB的长,可得D、E的横坐标,代入解析式即可判断;(4)因为AB为直径,所以当抛物线上的点P在⊙C的内部时,满足∠APB为钝角,所以﹣1<x0<0,或2<x0<3.试题分析:(1)∵⊙C经过原点O∴AB为⊙C的直径∴C为AB的中点过点C作CH垂直x轴于点H,则有CH=OB=,OH=OA=1∴圆心C的坐标为(1,).(2)∵抛物线过O、A两点,∴抛物线的对称轴为x=1,∵抛物线的顶点在直线y=﹣x上,∴顶点坐标为(1,﹣).把这三点的坐标代入抛物线y=ax2+bx+c,得,解得,∴抛物线的解析式为y=x2﹣x.(3)∵OA=2,OB=2,∴AB==4,即⊙C的半径r=2,∴D(3,),E(﹣1,),代入y=x2﹣x检验,知点D、E均在抛物线上.(4)∵AB为直径,∴当抛物线上的点P在⊙C的内部时,满足∠APB为钝角,∴﹣1<x0<0,或2<x0<3.考点:二次函数综合题.4.在△ABC中,∠A=90°,AB=4,AC=3,M是AB上的动点(不与A,B重合),过M点作MN∥BC交AC于点N.(1)如图1,把△AMN沿直线MN折叠得到△PMN,设AM=x.i.若点P正好在边BC上,求x的值;ii.在M的运动过程中,记△MNP与梯形BCNM重合的面积为y,试求y关于x的函数关系式,并求y的最大值.(2)如图2,以MN为直径作⊙O,并在⊙O内作内接矩形AMQN.试判断直线BC与⊙O的位置关系,并说明理由.【答案】(1)i.当x=2时,点P恰好落在边BC上;ii. y=,当x=时,重叠部分的面积最大,其值为2;(2)当x=时,⊙O与直线BC相切;当x<时,⊙O与直线BC相离;x>时,⊙O与直线BC相交.【解析】试题分析:(1)i.根据轴对称的性质,可求得相等的线段与角,可得点M是AB中点,即当x=AB=2时,点P恰好落在边BC上;ii.分两种情况讨论:①当0<x≤2时,△MNP与梯形BCNM重合的面积为△MNP的面积,根据轴对称的性质△MNP的面积等于△AMN的面积,易见y=x2②当2<x<4时,如图2,设PM,PN分别交BC于E,F,由i.知ME=MB=4-x∴PE=PM-ME=x-(4-x)=2x-4,由题意知△PEF∽△ABC,利用相似三角形的性质即可求得.(2)利用分类讨论的思想,先求的直线BC与⊙O相切时,x的值,然后得到相交,相离时x的取值范围.试题解析:(1)i.如图1,由轴对称性质知:AM=PM,∠AMN=∠PMN,又MN∥BC,∴∠PMN=∠BPM,∠AMN=∠B,∴∠B=∠BPM,∴AM=PM=BM,∴点M是AB中点,即当x=AB=2时,点P恰好落在边BC上.ii.以下分两种情况讨论:①当0<x≤2时,∵MN∥BC,∴△AMN∽△ABC,∴,∴,∴AN=,△MNP与梯形BCNM重合的面积为△MNP的面积,∴,②当2<x<4时,如图2,设PM,PN分别交BC于E,F,由(2)知ME=MB=4-x,∴PE=PM-ME=x-(4-x)=2x-4,由题意知△PEF∽△ABC,∴,∴S△PEF=(x-2)2,∴y=S△PMN-S△PEF=,∵当0<x≤2时,y=x2,∴易知y最大=,又∵当2<x<4时,y=,∴当x=时(符合2<x<4),y最大=2,综上所述,当x=时,重叠部分的面积最大,其值为2.(2))如图3,设直线BC与⊙O相切于点D,连接AO,OD,则AO=OD=MN.在Rt△ABC中,BC==5;由(1)知△AMN∽△ABC,∴,即,∴MN=x∴OD=x,过M点作MQ⊥BC于Q,则MQ=OD=x,在Rt△BMQ与Rt△BCA中,∠B是公共角,∴△BMQ∽△BCA,∴,∴BM=,AB=BM+MA=x+x=4∴x=,∴当x=时,⊙O与直线BC相切;当x<时,⊙O与直线BC相离;x>时,⊙O与直线BC相交.考点:圆的综合题.5.四边形ABCD内接于⊙O,连接AC、BD,2∠BDC+∠ADB=180°.(1)如图1,求证:AC=BC;(2)如图2,E为⊙O上一点,AE=BE,F为AC上一点,DE与BF相交于点T,连接AT,若∠BFC=∠BDC+12∠ABD,求证:AT平分∠DAB;(3)在(2)的条件下,DT=TE,AD=8,BD=12,求DE的长.【答案】(1)见解析;(2)见解析;(3)2【解析】【分析】(1)只要证明∠CAB=∠CBA即可.(2)如图2中,作TH⊥AD于H,TR⊥BD于R,TL⊥AB于L.想办法证明TL=TH即可解决问题.(3)如图3中,连接EA,EB,作EG⊥AB,TH⊥AD于H,TR⊥BD于R,TL⊥AB于L,AQ⊥BD于Q.证明△EAG≌△TDH(AAS),推出AG=DH,证明Rt△TDR≌Rt△TDH(HL),推出DH=DR,同理可得AL=AH,BR=BL,设DH=x,则AB=2x,由S△ADB=12•BD•AQ=12•AD•h+12•AB•h+12•DB•h,可得AQ=52h,再根据sin∠BDE=sin∠ADE,sin∠AED=sin∠ABD,构建方程组求出m即可解决问题.【详解】解:(1)如图1中,∵四边形ABCD内接于⊙O,∴∠ADC+∠ABC=180°,即∠ADB+∠BDC+∠ABC=180°,∵2∠BDC+∠ADB=180°,∴∠ABC=∠BDC,∵∠BAC=∠BDC,∴∠BAC=∠ABC,∴AC=BC.(2)如图2中,作TH⊥AD于H,TR⊥BD于R,TL⊥AB于L.∵∠BFC=∠BAC+∠ABF,∠BAC=∠BDC,∴∠BFC=∠BDC+∠ABF,∵∠BFC=∠BDC+12∠ABD,∴∠ABF=12∠ABD,∴BT平分∠ABD,∵AE=BE∴∠ADE=∠BDE,∴DT平分∠ADB,∵TH⊥AD于H,TR⊥BD于R,TL⊥AB于L.∴TR=TL,TR=TH,∴TL=TH,∴AT平分∠DAB.(3)如图3中,连接EA,EB,作EG⊥AB,TH⊥AD于H,TR⊥BD于R,TL⊥AB于L,AQ⊥BD于Q.∵AE=BE∴∠EAB=∠EDB=∠EDA,AE=BE,∵∠TAE=∠EAB+∠TAB,∠ATE=∠EDA+∠DAT,∴∠TAE=∠ATE,∴AE=TE,∵DT=TE,∴AE=DT,∵∠AGE=∠DHT=90°,∴△EAG≌△TDH(AAS),∴AG=DH,∵AE=EB,EG⊥AB,∴AG=BG,∴2DH=AB,∵Rt△TDR≌Rt△TDH(HL),∴DH=DR,同理可得AL=AH,BR=BL,设DH=x,则AB=2x,∵AD=8,DB=12,∴AL=AH=8﹣x,BR=12﹣x,AB=2x=8﹣x+12﹣x,∴x=5,∴DH=5,AB=10,设TR=TL=TH=h,DT=m,∵S△ADB=12•BD•AQ=12•AD•h+12•AB•h+12•DB•h,∴12AQ=(8+12+10)h,∴AQ=52 h,∵sin∠BDE=sin∠ADE,可得hm=APAD=AP8,sin∠AED=sin∠ABD,可得APm=AQAB=AQ10=5210h,∴APm=52810mAP,解得m=42或﹣42(舍弃),∴DE=2m=82.【点睛】本题属于圆综合题,考查了圆内接四边形的性质,圆周角定理,锐角三角函数,全等三角形的判定和性质,角平分线的性质定理和判定定理等知识,解题的关键是学会添加常用辅助线,学会利用参数构建方程组解决问题,属于中考压轴题.6.我们把“有两条边和其中一边的对角对应相等的两个三角形”叫做“同族三角形”,如图1,在△ABC和△ABD中,AB=AB,AC=AD,∠B=∠B,则△ABC和△ABD是“同族三角形”.(1)如图2,四边形ABCD内接于圆,点C是弧BD的中点,求证:△ABC和△ACD是同族三角形;(2)如图3,△ABC内接于⊙O,⊙O的半径为32AB=6,∠BAC=30°,求AC的长;(3)如图3,在(2)的条件下,若点D在⊙O上,△ADC与△ABC是非全等的同族三角形,AD>CD,求ADCD的值.【答案】(1)详见解析;(2)33+3;(3)ADCD=62+或6.【解析】【分析】(1)由点C是弧BD的中点,根据弧与弦的关系,易得BC=CD,∠BAC=∠DAC,又由公共边AC,可证得:△ABC和△ACD是同族三角形;(2)首先连接0A,OB,作点B作BE⊥AC于点E,易得△AOB是等腰直角三角形,继而求得答案;(3)分别从当CD=CB时与当CD=AB时进行分析求解即可求得答案.【详解】(1)证明:∵点C是弧BD的中点,即BC CD=,∴BC=CD,∠BAC=∠DAC,∵AC=AC,∴△ABC和△ACD是同族三角形.(2)解:如图1,连接OA,OB,作点B作BE⊥AC于点E,∵2,AB=6,∴OA2+OB2=AB2,∴△AOB是等腰直角三角形,且∠AOB=90°,∴∠C=∠AOB=45°,∵∠BAC=30°,∴BE=AB=3,∴22AB BE-3,∵CE=BE=3,∴3(3)解:∵∠B=180°﹣∠BAC﹣∠ACB=180°﹣30°﹣45°=105°,∴∠ADC=180°﹣∠B=75°,如图2,当CD=CB时,∠DAC=∠BAC=30°,∴∠ACD=75°, ∴AD=AC=33+3,CD=BC=2BE=32, ∴AD 333CD 32+==622+; 如图3,当CD=AB 时,过点D 作DF ⊥AC ,交AC 于点F ,则∠DAC=∠ACB=45°,∴∠ACD=180°﹣∠DAC ﹣∠ADC=60°,∴DF=CD•sin60°=6×32=33, ∴AD=2DF=36,∴AD 36CD ==62. 综上所述:AD CD =622+或62. 【点睛】本题考查圆的综合应用问题,综合运用弧与弦的关系,等腰三角形的性质结合图形作辅助线进行分析证明以及求解,难度较大.7.已知ABD △内接于圆O ,点C 为弧BD 上一点,连接BC AC AC 、,交BD 于点E ,CED ABC ∠=∠.(1)如图1,求证:弧AB =弧AD ;(2)如图2,过B 作BF AC ⊥于点F ,交圆O 点G ,连接AG 交BD 于点H ,且∠的度数;222EH BE DH=+,求CAG(3)如图3,在(2)的条件下,圆O上一点M与点C关于BD对称,连接ME,交∥交AD于点Q,交BD的延长线于点R,AB于点N,点P为弧AD上一点,PQ BG=,ANE的周长为20,52AQ BNDR=,求圆O半径.【答案】(1)见解析;(2)∠CAG=45°;(3)r=62【解析】【分析】(1)证∠ABD=∠ACB可得;(2)如下图,△AHD绕点A旋转至△ALE处,使得点D与点B重合,证△ALE≌△AHE,利用勾股定理逆定理推导角度;(3)如下图,延长QR交AB于点T,分别过点N、Q作BD的垂线,交于点V,I,取QU=AE,过点U作UK垂直BD.先证△AEN≌△QUD,再证△NVE≌△RKU,可得到NV=KR=DK,进而求得OB的长.【详解】(1)∵∠CED是△BEC的外角,∴∠CED=∠EBC+∠BCA∵∠ABC=∠ABD+∠EBC又∵∠CED=∠ABC∴∠ABD=∠ACB∴弧AB=弧AD(2)如下图,△AHD绕点A旋转至△ALE处,使得点D与点B重合∵△ALB是△AHD旋转所得∴∠ABL=∠ADB,AL=AH设∠CAG=a,则∠CBG=a∵BG⊥AC∴∠BCA=90°-a,∴∠ADB=∠ABD=90°-a∴在△BAD中,BAE+∠HAD=180-a-(90°-a)-(90°-a)=a∴∠LAE=∠EAH=a∵LA=AH,AE=AE∴△ALE≌△AHE,∴LE=EH∵HD=LB,222=+EH BE DH∴△LBE为直角三角形∴∠LBE=(90°-a)+(90°-a)=90°,解得:a=45°∴∠CAG=45°(3)如下图,延长QR交AB于点T,分别过点N、Q作BD的垂线,交于点V,I,取QU=AE,过点U作UK垂直BD由(2)得∠BAD=90°∴点O在BD上设∠R=n,则∠SER=∠BEC=∠MEB=90°-n∴∠AEN=2n∵SQ⊥AC∴∠TAS=∠AQS=∠DQR,AN=QD∵QU=AE∴△AEN≌△QUD∴∠QUD=∠AEN=2n∴UD=UR=NE,∵△ANE的周长为20∴QD+QR=20在△DQR中,QD=7∵∠ENR=∠UDK=∠R=n∴△NVE≌△RKU52∴∴BN=5∴22r【点睛】本题考查了圆的证明,涉及到全等、旋转和勾股定理,解题关键是结合图形特点,适当构造全等三角形8.如图,PA,PB分别与O相切于点A和点B,点C为弧AB上一点,连接PC并延长交O于点F,D为弧AF上的一点,连接BD交FC于点E,连接AD,且2180APB PEB ∠+∠=︒.(1)如图1,求证://PF AD ;(2)如图2,连接AE ,若90APB ∠=︒,求证:PE 平分AEB ∠;(3)如图3,在(2)的条件下,连接AB 交PE 于点H ,连接OE ,8AD =,4sin 5ABD ∠=,求PH 的长. 【答案】(1)见解析;(2)见解析;(3)257【解析】【分析】 (1)连接OA 、OB ,由切线的性质可得90OAP OBP ∠=∠=︒,由四边形内角和是360︒,得180∠+∠=︒P AOB ,由同弧所对的圆心角是圆周角的一半,得到2AOB ADB ∠=∠,等量代换得到ADB PEB ∠=∠,由同位角相等两直线平行,得到//PF AD ;(2)过点P 做PK PF ⊥交EB 延长线于点K ,由90APB ∠=︒得290PEB ∠=︒,从而45PEB ∠=︒,由切线的性质,得PA PB =,由PK PE ⊥,45PEK ∠=︒,得PE PK =,从而90APE EPB ︒∠=-∠,进而APE BPK ∠=∠,即可证得APE BPK ∆∆≌由此45K AEP ∠=∠=︒,得到AEP PEB ∠=∠,即可证得PE 平分AEB ∠;(3)连接AO 并延长交圆O 于点M ,连接OB 、OH 、OP 、OD 、DM ,由45ADE ∠=︒,90AED ∠=︒,可得DE AE =,由OA 、OD 为半径,可得OA OD =,即可证出DEO AEO ∆∆≌,由直径所对的圆周角是直角,可得90ADM ∠=︒,在Rt ADM ∆中,由正弦定义可得10AM =,由此5OA OB ==,由OAPB 为正方形,对角线AB 垂直平分OP ,从而,OH PH =.在Rt OAP ∆中,252OP OA ==延长EO 交AD 于K ,在Rt OEP ∆中,由勾股定理得7PE =,在Rt OEH ∆中,由勾股定理得257PH =. 【详解】 (1)连接OA 、OB∵PA 、PB 与圆O 相切于点A 、B ,且OA 、OB 为半径,∴OA AP ⊥,OB BP ⊥,∴90OAP OBP ∠=∠=︒,∴在四边形AOBP 中,360180180P AOB ∠+∠=︒-︒=︒,∵AB AB =,∴2AOB ADB ∠=∠,∴2180P ADB ∠+∠=︒,∵2180P PEB ∠+∠=︒,∴ADB PEB ∠=∠,∴//PF AD(2)过点P 做PK PF ⊥交EB 延长线于点K∵90APB ∠=︒,∴21809090PEB ∠=︒-︒=︒,∴45PEB ∠=︒,∵PA 、PB 为圆O 的切线,∴PA PB =,∵PK PE ⊥,45PEK ∠=︒,∴PE PK = ,∵9090APE EPB KPB EPB ︒︒∠=-∠=∠=-∠,∴APE BPK ∠=∠,∴APE BPK ∆∆≌,∴45K AEP ∠=∠=︒,∴AEP PEB ∠=∠,∴PE 平分AEB ∠;(3)连接AO 并延长交圆O 于点M ,连接OB 、OH 、OP 、OD 、DM∵45ADE ∠=︒,90AED ∠=︒,∴DE AE =,∵OA 、OD 为半径,∴OA OD =,∵OE OE =,∴DEO AEO ∆∆≌,∴1452AEO OED AED ∠=∠=∠=︒, ∴90OEP ∠=︒,∵AM 为圆O 的直径,∴90ADM ∠=︒,∵弧AD =弧AD ,∴ABD AMD ∠=∠,在Rt ADM ∆中,8AD =,4sin 5AMD ∠=,则10AM =, ∴5OA OB ==,由题易证四边形OAPB 为正方形,∴对角线AB 垂直平分OP ,AB OP =,∵H 在AB 上,∴OH PH =,在Rt OAP ∆中,252OP OA ==延长EO 交AD 于K ,∵DE AE =,可证OK AD ⊥,DOK ABD ∠=∠,∴4DK KE ==,3OK =,1OE =∴在Rt OEP ∆中,227PE OP OE =-=在Rt OEH ∆中,222OH OE EH =+∵OH PH =,7EH PE HP PH =-=-∴()22217PH PH =+- ∴257PH =. 【点睛】本题考查了圆的综合题,圆的性质,等腰三角形的性质,相交弦定理,正弦定理,勾股定理,灵活运用这些性质定理解决问题是本题的关键.9.如图①②,在平面直角坐标系中,边长为2的等边CDE ∆恰好与坐标系中的OAB ∆重合,现将CDE ∆绕边AB 的中点(G G 点也是DE 的中点),按顺时针方向旋转180︒到△1C DE 的位置.(1)求1C 点的坐标;(2)求经过三点O 、A 、1C 的抛物线的解析式;(3)如图③,G 是以AB 为直径的圆,过B 点作G 的切线与x 轴相交于点F ,求切线BF 的解析式;(4)抛物线上是否存在一点M ,使得:16:3AMF OAB S S ∆∆=.若存在,请求出点M 的坐标;若不存在,请说明理由.【答案】(1)13)C ;(2)23333y x x =-;(3)32333y x =+;(4)1283834,,2,33M M ⎛⎫⎛- ⎪ ⎪ ⎝⎭⎝⎭.【解析】【分析】(1)利用中心对称图形的性质和等边三角形的性质,可以求出.(2)运用待定系数法,代入二次函数解析式,即可求出.(3)借助切线的性质定理,直角三角形的性质,求出F ,B 的坐标即可求出解析式. (4)当M 在x 轴上方或下方,分两种情况讨论.【详解】解:(1)将等边CDE ∆绕边AB 的中点G 按顺时针方向旋转180︒到△1C DE , 则有,四边形'OAC B 是菱形,所以1C 的横坐标为3,根据等边CDE ∆的边长是2,利用等边三角形的性质可得13)C ;(2)抛物线过原点(0,0)O ,设抛物线解析式为2y ax bx =+,把(2,0)A,C '代入,得42093a b a b +=⎧⎪⎨+=⎪⎩解得3a =,b = ∴抛物线解析式为2y x x =-;(3)90ABF ∠=︒,60BAF ∠=︒,30AFB ∴∠=︒,又2AB =,4AF ∴=,2OF ∴=, (2,0)F ∴-,设直线BF 的解析式为y kx b =+,把B ,(2,0)F -代入,得20k b k b ⎧+=⎪⎨-+=⎪⎩,解得k =b = ∴直线BF的解析式为33y x =+; (4)①当M 在x轴上方时,存在2()M x ,211:[4)]:[216:322AMF OAB S S ∆∆=⨯⨯⨯=, 得2280x x --=,解得14x =,22x =-,当14x =时,244y , 当12x =-时,2(2)(2)y =--=1M ∴,2(M -; ②当M 在x轴下方时,不存在,设点2()M x x ,211:[4)]:[216:322AMF OAB S S ∆∆=-⨯⨯⨯=, 得2280x x -+=,240b ac -<无解,综上所述,存在点的坐标为183 (4,)M,283 (2,)M-.【点睛】此题主要考查了旋转,等边三角形的性质,菱形的判定和性质,以及待定系数法求解二次函数解析式和切线的性质定理等,能熟练应用相关性质,是解题的关键.10.已知点A为⊙O外一点,连接AO,交⊙O于点P,AO=6.点B为⊙O上一点,连接BP,过点A作CA⊥AO,交BP延长线于点C,AC=AB.(1)判断直线AB与⊙O的位置关系,并说明理由.(2)若3 PB的长.(3)若在⊙O上存在点E,使△EAC是以AC为底的等腰三角形,则⊙O的半径r的取值范围是___________.【答案】(1)AB与⊙O相切,理由见解析;(2)33PB=;(3)6565r≤<【解析】【分析】(1)连接OB,有∠OPB=∠OBP,又AC=AB,则∠C=∠ABP,利用∠CAP=90°,即可得到结论成立;(2)由AB=AC,利用勾股定理先求出半径,作OH⊥BP与H,利用相似三角形的判定和性质,即可求出PB的长度;(3)根据题意得出OE=12AC=122216r2-22162r r-≤,即可求出取值范围.【详解】解:(1)连接OB,如图:∵OP=OB ,∴∠OPB=∠OBP=∠APC ,∵AC=AB ,∴∠C=∠ABP ,∵AC ⊥AO ,∴∠CAP=90°,∴∠C+∠APC=90°,∴∠ABP+∠OBP=90°,即OB ⊥AB ,∴AB 为切线;(2)∵AB=AC∴22AB AC =,∴2222CP AP OA OB -=-,设半径为r ,则2222(43)(6)6r r --=-解得:r=2;作OH ⊥BP 与H ,则△ACP ∽△HOP ,∴PH OP AP CP=,即443PH = ∴33PH =,∴4323PB PH ==; (3)如图,作出线段AC 的垂直平分线MN ,作OE ⊥MN ,∴四边形AOEM 是矩形,∴OE=AM=12AC=1222162r - 又∵圆O 与直线MN 有交点,∴22162r r -, 2262r r -≤,∴22364r r -≤, ∴65r ≥ 又∵圆O 与直线AC 相离,∴r <6,656r ≤<. 【点睛】此题主要考查了圆的综合以及切线的判定与性质和勾股定理以及等腰三角形的性质等知识,得出EO 与AB 的关系进而求出r 取值范围是解题关键.。
【最新整理,下载后即可编辑】上宝中学2013学年第一学期期中考试初三数学试卷一、选择题(本大题共6题,每题4分,满分24分)1. 已知在△ABC 中,点D 、E 、F 分别在边AB 、AC 和BC 上,且DE ∥BC ,DF ∥AC ,那么下列比例式中,正确的是( )A.BCDEEC AE =; B.FBCFEC AE =; C .BCDEACDF=; D.BCFCAC EC =2. 已知在Rt△ABC 中,∠C=90°,∠A、∠B、∠C 的对边分别是a 、b 、c ,则下列关系式错误的是( )A .a =b tan A ;B .b =ccos A ;C .a =c sin A ;D .c =sin b A3. 如图,平行四边形ABCD 中,过点B 的直线与对角线AC 、边AD 分别交于点E 和F .过点E 作EG∥BC,交AB 于G ,则图中相似三角形有( ) A .7对; B .6对; C .5对; D . 4对第3题 第4题 4. 二次函数y =ax 2+bx +c (a ,b ,c 是常数,a ≠0)图象的对称轴是直线x =1,其图象的一部分如图所示.对于下列说法:①abc >0; ②a -b +c <0; ③3a +c <0; ④当-1<x <3时,y >0.其中正确的结论是( ).A .①②;B .①④;C .②③;D .②③④ 5. 下列说法正确的个数有( )①平分弦的直径,平分这条弦所对的弧;②在等圆中,如果弦相等,那么它们所对的弧也相等; ③等弧所对的圆心角、弦、弦心距都分别相等; ④过三点可以画一个圆.A.1个; B .2个; C .3个; D .4个 6. 下列命题中,错误命题的个数有( ) ①如图,若AB DE BCEF=,则////AD BE CF ;②已知一个单位向量e ,设a 是非零向量,则1a e a=;③在△ABC 中,D 在AB 边上,E 在AC 边上,且△ADE和△ABC 相似,若AD = 3,DB = 6,AC = 5,则它们的相似比为13或35;④对于抛物线f (x )=x 2-4x +c ,有f (1)>f (-1); ⑤在△ABC 中,AB =23,AC =2,BC 边上的高AD =3,则BC =4,∠B =30°. A .5个; B .4个; C .3个; D .2个 二、填空题(本大题共12题,每题4分,满分48分)7. 在比例尺为1:50000的地图上,某地区的图上面积为20平方厘米,则实际面积为平方千米. 8. 在△ABC 中,|cosA –32|+(1– cotB)2 = 0 ,则△ABC 的形状是 .9.将二次函数5422+-=x x y 图象向左平移1个单位,再向下平移2个单位后,所得图象的解析式是 .10. 如图,梯形ABCD 中,AD ∥BC ,E 、F 分别是AB 、CD 上的点,且EF ∥BC ,53AE BC BEAD==,若AB a =,DC b =, 则向量EF 可用a 、b 表示为_____________________.第10题 第11题 第12题第6题DBCAE第13题11. 如图,在△ABC 中,点D 是AB 的黄金分割点(AD >BD ),BC=AD ,如果∠ACD=90°,那么tanA= .12.如图AD 是△ABC 的中线,E 是AD 上一点,且AE=13AD ,CE 的延长线交AB 于点F ,若AF=1.2,则AB= .13. 如图所示,在△ABC 中,DE∥AB∥FG,且FG 到DE 、AB 的距离之比为1:2.若△ABC 的面积为32,△CDE 的面积为2,则△CFG 的面积S=14. 在△ABC 中,AB=3,AC=4,△ABC 绕着点A 旋转后能与△AB′C′重合,那么△ABB′与△ACC′的周长之比为 .15.如图,△ABC 中,AB =AC ,AD ⊥BC 于D ,AE =EC ,AD =18,BE =15,tan∠EBC = .16.如图,AC 是高为30米的某一建筑,在水塘的对面有一段以BD 为坡面的斜坡,小明在A 点观察点D 的俯角为30°,在A 点观察点B 的俯角为45°,若坡面BD 的坡度为1:3,则BD 的长为 . 17. ⊙O 的半径为5cm ,弦AB//CD ,AB=6cm ,CD=8 cm ,则AB 与CD 的距离为 cm.18.如图,在Rt △ABC 中,∠C =90°,AB=5,BC =3,点D 、E 分别在BC 、AC 上,且BD=CE ,设点C 关于DE 的对称点为F ,若DF ∥AB ,则BD 的长为 . 三、解答题(本大题共7题,满分78分)19.(本题第(1)题3分,第(2)题7分,满分10分)ACBD在平面直角坐标系中,抛物线过原点O,且与x轴交于另一点A(A 在O右侧),顶点为B.艾思轲同学用一把宽3cm的矩形直尺对抛物线进行如下测量:(1)量得OA=3cm;(2)当把直尺的左边与抛物线的对称轴重合,使得直尺左下端点与抛物线的顶点重合时(如图),测得抛物线与直尺右边的交点C的刻度读数为4.5cm.艾思轲同学将A的坐标记作(3,0),然后利用上述结论尝试完成下列各题:(1)写出抛物线的对称轴;(2)求出该抛物线的解析式.20.(本题每小题5分,满分10分)在Rt△ABC中,∠ACB=90°,AB=5,sin∠CAB=4,D是斜边AB5上一点,过点A作AE⊥CD,垂足为E,AE的延长线交BC于点F.时,求线段BF的长;(1)当tan∠BCD=12时,求线段AD的长.(2)当BF=5421.(本题每小题5分,满分10分)如图,已知⊙O 的半径为5,弦AB 的长等于8,OD ⊥AB ,垂足为点D ,DO 的延长线与⊙O 相交于点C ,点E 在弦AB 的延长线上,CE 与⊙O 相交于点F ,cos C =35.求:(1)CD 的长;(2)EF 的长.22.(本题每小题5分,满分10分)如图,在一笔直的海岸线l 上有AB 两个观测站,A 在B 的正东方向,AB=2(单位:km ).有一艘小船在点P 处,从A 测得小船在北偏西60°的方向,从B 测得小船在北偏东45°的方向. (1)求点P 到海岸线l 的距离;(2)小船从点P 处沿射线AP 的方向航行一段时间后,到点C 处,此时,从B 测得小船在北偏西15°的方向.求点C 与点B 之间的距离.(上述两小题的结果都保留根号)D AE B C O F23.(本题第(1)题5分,第(2)题7分,满分12分)如图,在△ABC 中,AB =AC ,D 是BC 的中点,DF⊥AC,E 是DF 的中点,联结AE 、BF. 求证:(1)2DF CF AF =⋅; (2)AE⊥BF .24. (本题第(1)题3分,第(2)题4分,第(3)题5分,满分12分)已知抛物线y =x 2-2x +c 与x 轴交于A .B 两点,与y 轴交于C 点,抛物线的顶点为D 点,点A 的坐标为(-1,0).(1)求D 点的坐标;(2)如图1,连接AC ,BD 并延长交于点E ,求∠E 的度数; (3)如图2,已知点P (-4,0),点Q 在x 轴下方的抛物线上,直线PQ 交线段AC 于点M ,当∠PMA=∠E 时,求点Q 的坐标.C25. (本题第(1)题3分,第(2)题5分,第(3)题6分,满分14分)如图,在矩形ABCD中,AB=3,BC=4,动点P从点D出发沿DA向终点A运动,同时动点Q从点A出发沿对角线AC向终点C运动.过点P 作PE∥DC,交AC于点E,动点P、Q的运动速度是每秒1个单位长度,运动时间为x秒,当点P运动到点A时,P、Q两点同时停止运动.设PE=y. (1)求y关于x的函数关系式;(2)探究:当x为何值时,四边形PQBE为梯形?(3)是否存在这样的点P和点Q,使P、Q、E为顶点的三角形是等腰三角形?若存在,请求出所有满足要求的x的值;若不存在,请说明理由.备用图备用图25、解:(1)∴∠D=90° ∴AC=225AD CD +=∵PE ∥CD ∴⊿APE ∽⊿ADC ----------- 2分∴AP AE PEAD AC DC ==即:4453x AE y -==∴353,544y x AE x =-+=-+ ----------- 4分(2)①显然,当QB ∥PE 时,四边形PQBE 是矩形,非梯形,不合题意,舍去;②当QP ∥BE 时,∠PQE=∠BEQ ∴∠AQP=∠CEB ∵AD ∥BC ∴∠PAQ=∠BCE ∴⊿PAQ ∽⊿BCE ----------- 6分∴PA AQ AQ BCCE AC AE==- 即:445455(5)4x x xxx -==--+∴45x = ----------- 8分∴当45x =时,QP ∥BE 而QB 与PE 不平行,四边形PQBE是梯形。
上海市民办上宝中学招生简章
上海市民办上宝中学招生简章上海市民办上宝中学是一所经教育部审批成立的全日制中等学校,位于上海市宝山区,现有初中、高中两个部分,在校学生达到了3000余人。
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上宝中学第一学期期中考试Part2Phonetics,Vocabulary and Grammar第二部分语音,词汇和语法II.Choose the best answer.(20分)26.He didn’t just command.He personally fought in several healthy battles.Which of the following is correct for the underlined word.A.[kæ’ma:nd]B.[kʌ’mə:nd]C.[ki’mənd]D.[kə’ma:nd]27.Which of the following underlined parts is different in pronunciation from others?A.For the first few years I didn’t draw any salary at all.B.I’d like a full-time position with more responsibility.C.Weber gave a fair hearing to anyone who held a different opinion.D.He has served the farm faithfully for20years.28.While he was investing ways to improve the telescope,Newton made_____discovery which completely changed_____man’s understanding of color.A.a;/B.a;theC./;theD.the;a29.The students also take SAT and CAT_______mathematics and chemistry.A.exceptB.except forC.besideD.besides30.It is not rare in______that people in_____fifties are going to university for future education.A.90s;/B.the90’s;/C.90s;theirD.the90’s;their31.The hunter______the fox,took off its skin and_____it on the tree.A.hung;hangedB.hung;hungC.hanged;hangedD.hanged;hung32.The room is used to____parties by the young man.He is used to_____parties here.A.holding;holdB.hold;holdingC.holding;holdingD.hold;hold33.Tom must have played the guitar______if he has got one.A.Some timesB.sometimesC.for some timeD.sometime34.When she was asked about the missing calculator,she_______ever seeing it.A.refusedB.deniedC.opposedD.pretended35.______our country has plenty of oil,theirs has none.A.WhenB.WhileC.AsD.Since36.A library with five thousand books,______to the nation as a gift.A.is offeredB.has offeredC.are offeredD.have offered37.As soon as everyone taking the examination_______,the test paper were______.A.was seated;given upB.seated;given offC.sat;given inD.was seated;given out38.The news came as no surprise to me.I_______for sometime that the factory was going to shut down.A.had knownB.knewC.have knownD.know39.The taxi driver had no choice but_____help.A.to turn the passenger forB.to turn to the passenger forC.turn the passenger forD.turn to the passenger for40.On the floor______the bottle he’d been looking for.yB.lyingidD.had lain41.Don’t all speak at once!_________,please.A.Each at one timeB.One by one timeC.One at a timeD.One for each time42.---______is the population of the town?---Over20,000.And a third of the population_____workers of the car factory.A.What;areB.How many;areC.What;isD.How many;is43.I’m really not clear__________A.that he solved the crime or notB.what happens to the missing vaseC.how long he came to ShanghaiD.who was questioned by the detective44.Which of the following sentences is RIGHT?A.Jennifer has bought the book for two weeks.B.He has studied Japanese since5years.C.They have met and made friends since2002D.I haven’t met my cousin for ages.45.--Jack,I’d like to have your opinions about my written report.--______,but I have one suggestion.A.That’s a good idea.B.You are smart.C.It looks fine to meD.You should check it firstplete the following passage with the words or phrases in the box,each can only be used once.(8分)The worst danger is a house on fire when people are asleep.Always be ready to leave through a window into the garden by___46___you can open it if necessary.If you should be on holiday in a tall building or hotel,make sure you know where the fire escape(太平梯)is.When you can’t find any way out,try to find pieces of cloth and make a rope to__47____a window to safety.If you smell burning in your home,get out right away.If you can’t breathe___48___because of smoke on your way out,crawl(爬行)on your hands and knees because smoke rises and the air will be cleaner__49___the floor.Smoke is a killer and more people have died from breathing it in than actually being burnt.Fire in a cinema,hall or public place often means people pushing to reach a door.Keep your head up with arms up in front of your chest.This protects your chest and gives you the best chance to breathe.Above all,don’t get frightened!Have you seen a group of boys dancing hip-pop together?The music beat is usually exciting and cool!And the people dancing hip-pop seem to really enjoy what they are doing.What is the real meaning of"Hip-pop"?Some people say it is the motion that people make while they're dancing.They move their hips sideways when they dance.That's very interesting. The first hip-pop music came to the world in the beginning of the1970s by DJs(disk jockeys)A Jamaican known as Kool Herc was the first person who___50_____hip-pop music.Whenever people think of hip-pop,music and dance are the first things that come out in their___51___.However,there are other things that are part of the hip-pop culture.One of them is graffiti. Graffiti is___52__art where you draw pictures and words on walls,trains,and other places with spray paint.Many of you may have seen things around your neighborhood.Some of those works are really_____!plete the sentences with the given words in their suitable forms.(8分)54.Such crude methods are far________to make stick with the Internet.(trick)55.Her pride was hurt,but her_____control of manner helped her.(habit)56.We ought to look below the surface of things and then discover the____of them.(essential)57.Calculate the perimeter and the area of a circle_____.(skill)58.It was highly_____and what was called an“old-fashioned”hotel situated not far from Piccadilly.(respect)59.It is illegal for pubic officials to ask for gifts or money in____for favors.(change)_60.Those_____led the wire in through a hole in the wall.(electric)61.The Companies Act lays down a set of minimum______(require)V.Rewrite the following sentences as required.(14分)62.Doran stuck his head out of the window to say hello to his friend.(一般疑问句)_______Doran_____his head out of the window to say hello to his friend?63.The Green Family moved to France two years ago.(同义句转换)______two years_____the Green Family moved to France.64.Mum wakes me up at6:00every morning.(改为被动语态)I_____________up at6:00every morning.65.It is impossible for him to finish reading the novel in5hours,__________(反义疑问句)66.The information is important.(改为感叹句)_____________information it is!67.Betty liked walking to school.She liked riding a bicycle to school better.(合并为一句) Betty______riding a bicycle to school_____walking to school.68.female,the,star,of.typical,tour,life,The,is,day,pop,in,following,the,a,on(连词成句)_______________________________________________________________Part three Reading and Writing第三部分阅读和写作VI.Reading comprehension(共30分)A.Choose the best answer.(12分)Should we allow modern buildings to be built next to older buildings in a historic area of acity?In order to answer this question,we must first examine whether people really want to preserve the historic feel of an area.Not all historical buildings are attractive.However,there may be other reasons—for example,economic reasons—why they should be preserved.So,let us assume that historical buildings are both attractive and important to the majority of people.What should we do then if a new building is needed?In my view,new architectural styles can exist perfectly well alongside an older style.Indeed, there are many examples in my own hometown of Tours where modern designs have been placed very successfully next to old buildings.As long as the building in question is pleasing and does not dominate(影响)its surroundings too much,it often improves the attractiveness of the area.It is true that there are examples of new buildings which have spoilt(破坏)the area they are in, but the same can be said of some old buildings too.Yet people still speak against new buildings in historic areas.I think this is simply because people are naturally conservative and do not like change.Although we have to respect people's feelings as fellow users of the buildings,I believe that it is the duty of the architect and planner to move things forward.If we always reproduced what was there before,we would all still be living in caves.Thus,I would argue against copying previous architectural styles and choose something fresh and different,even though that might be the more risky choice.69.What does the author say about historical buildings in the first paragraph?A.Some of them are not attractive.B.Most of them are too expensive to preserve.C.They are more pleasing than modern buildings.D.They have nothing to do with the historic feel of an area.70.Why do people still speak against new buildings in historic areas according to the author?A.Because historical buildings are both attractive and important to the majority of people.B.Because new architectural styles can exist perfectly well alongside an older style.C.Because people like following old ideas and do not like change.D.Because people have to respect new architectural styles.71.Which of the following is true according to the author?A.We should reproduce the same old buildings.B.Buildings should not dominate their surroundings.C.Some old buildings have spoilt the area they are in.D.No one understands why people speak against new buildings.72.By using`“move things forward”in the last paragraph,the author probably means“_______”.A.Destroy old buildingsB.Put things in a different placeC.Choose new architectural stylesD.Respect people’s feelings for historical buildings73.What is the main purpose of the passage?A.To explain why people dislike change.B.To warn that we could end up with living in caves.C.To admit how new buildings have ruined their surroundings.D.To argue that modern buildings an be built in historic areas.74.What is the author’s attitude towards the topic“Should we allow modern buildings to be builtnext to older buildings in a historic area of a city?”A.UninterestedB.SupportiveC.NeutralD.DisapprovedB.Choose the words or expressions and complete the passage.(12分)In1973,I was teaching elementary school.Each day,27kids entered“The Thinking Laboratory.”That was the name students voted for after deciding that“Room104”was too dull.Freddy was an average student,but not an average person.He had the rare balance of fun and compassion(同情).He would laugh the loudest over fun and be the saddest over anyone’s __75_______.Before the school year___________,I gave the kids a special gift,T-shirts with the words“Verbs Are Your_____76____”on them.I had advised the kids that while verbs(动词)may seem dull,most of the fun things they do through out their lives will be verbs.Through the years,I’d run into former students who would provide___77_______on old classmates.I learned that Freddy did several jobs after his graduation from high school and remained the same____78____person I met forty years before.Once,while working over night at a store,he let a homeless man sleep in his truck.Another time,he lent a friend money to buy a house.Just last year,I was____79______a workshop when someone knocked at the classroom door.A woman excused the interruption and handed me an envelope.I stopped teaching and opened it up.Inside were the“Verbs”shirt and a note from Freddy’s mother.“Freddy passed away on Thanksgiving.He wanted you to have this.”I told the story to the class.As sad as it was,I couldn’t help smiling.Although Freddy was taken from us,we all____80______something from Freddy.75..A.misfortune B.disbelief C.dishonesty D.mistake76.A.friends B.Awards C.Masters D.Tasks77.A.assessments ments C.instructions D.updates78.A.daring B.modest C.caring D.smart79.A.observing B.preparing C.designing D.conducting80.A.chose B.took C.expected D.borrowedC.Read the passage and fill in the blanks with proper words.(14分)For most city people,the elevator is an unremarkable machine that inspires none of the enthusiasm or interest that Americans afford trains,jets,and even bicycles.Dr.Christopher Wilk is a member of a small group of elevator experts who c___81___this a misunderstanding.Without the elevator,they point out,there could be no downtown skyscrapers or tall buildings,and city life as we know it would be i___82___.In that sense,they argue,the elevator’s role in American history has been no less significant than that of cars.In fact,according to Wilk?the car and the elevator have been locked in a“secret war”for over a century,with cars making it possible for people to spread horizontally(水平地),and elevators pushing them toward life in close groups of towering vertical(垂直的)columns.If we tend to ignore the significance of elevators,it might be because riding in them tends to be such a brief,boring,and even awkward experience one that can involve unexpectedly meeting people with whom we have nothing in common,and an unpleasant a____83__of the fact thatwe’re hanging from a cable in a long passage.In a new book,Lifted,German journalist and cultural studies professor Andreas Bernard directed all his a___84___to this experience,studying the origins of elevator and its r____85____to humankind and finding that riding in an elevator has never been a totally comfortable experience.“After150years,we are still not used to it”,Bernard said.“We still have not exactly learned to cope with the mixture of closeness and displeasure.”That mixture,according to Bernard, sets the elevator ride apart from just about every other s___86____we find ourselves in as we go about our lives.Today,as the world’s urban population explodes,and cities become more c__87____, taller,and more crowded,America’s total number of elevators—900,000at last count,according to Elevator World magazine’s“2012Vertical Transportation Industry”一are a force that’s becoming more important than ever.And for the people who really,really love them,it seems like high time that we looked seriously at just what kind of force they are.81c______82i______83.______84________85_______86._____87.______D.Read the passage and answer the questions.(12分)Do you think you are more intelligent than your parents and grandparents?According to James Flynn,a professor at a New Zealand university,you are!Over the course of the last century, people’s IQ test scores have gotten steadily higher---on average,three points higher each decade. This improvement is known as the“Flynn effect”,and scientists want to know what is behind it.IQ tests are designed to measure general intelligence rather than knowledge.Flynn believes that intelligence partly comes from our parents and partly is the result of our environment,but the improvement in test scores has been happening too quickly to be explained by heredity(遗传). So what has occurred in the20th century to help people achieve higher scores?Scientists have proposed several explanations for the Flynn effect.Some suggest that the improved test scores simply reflect an increased exposure to tests in general and the learning of test-taking techniques that help us perform better on any test.Others have pointed to better nutrition.Babies now are born larger,healthier,and with more brain development than in the past. Another suggested explanation is a change in educational styles,with teachers encouraging children to learn by discovering things for themselves rather than just memorizing information, which improves their problem-solving skills.Flynn has limited the possible explanations after carefully examining test data and discovering that the improvement in scores has taken place in only certain parts of the IQ test.Test-takers are not doing better on the maths or vocabulary sections of the test;they are doing better on the sections requiring reasoning and problem solving.For example,one part of the test shows a set of shapes,and test-takers must find the patterns and connections between them.According to Flynn,this visual intelligence improves as the amount of technology in our lives increases.Every time you play a computer game,you are exercising exactly the kind of thinking and problem solving that helps you do well on one kind of intelligence test.So are you really smarter than your parents?In one very specific way,you may be.Questions88.Does Flynn think you are smarter than your parents and grandparents?(1分)89.What do IQ tests focus on,general intelligence or knowledge?(2分)90.How do educational styles help people do better in the test according to some scientists?(2分)91.Which sections did the test takers do better in the test on?(2分)92.Why does the writer mention computer games?(2分)93.Do you agree with Flynn?Why or why not?(3分)参考答案26-30DBADD31-35DBABB36-40ADABA41-45CADDC46.D47.A48.E49.B50.C51.A52.B53.E54.trickier55.habitual56.essence57.skillfully58.respetable59.exchange60.electricity61.requirements62.Did,stick63.It's,since64.am woken65.isn't it66.What important67.preferred,to 69.A70.C71.C72.C73.D74.B75.A76.A77.D78.C79.D80.B81.consider82.impossible83.awareness84.attention85.relationship86.situation87. crowded88.Yes,he does89.General intelligence90.By increasing exposure to tests and learning test-taking techniques.91.The sections requiring reasoning and problem solving92.To prove that increasing the amount of technology in our lives can improve the visual intelligence.93.略。
上海初中学校排名表上海初中学校排名表静安区静安区(新)前10的初中第1--第10:市北初级,民办杨波,市西初级,静教院附中,田家炳中学,同济附七一中学,青云中学,回民中学,育才初级,静安外国语(根据15、16、17年中考预录取成绩排名)一线:市北理(在全市都是牛班)二线:市西理、民办扬波、静教院、风华风华初级中学:热烈祝贺我校须百川、陈文怡等同学被上海中学、华二附中等市重点高中录取。
36.36%的同学达到零志愿投档分数线。
71.16%的同学被市、区重点高中录取。
91.85%的同学达到普通高中投档分数线。
静教院附校:我校中考成绩整体蒸蒸日上,20xx届毕业生市示范性高中以上预录取比例达60%,创历史新高。
黄浦区黄浦区前10的初中第1--第10:民办立达,格致初,向明初级,卢湾初级,大同初级,永昌学校,民办明珠,黄教院附中,大境初级,尚文中学(根据20xx年中考预录取成绩排名)一线:立达理,立达,民办明珠,永昌学校二线:格致初级向明初级卢湾初级大同初级格致初级中学:四校9人,格致45人,大同6人,向明15人;杨浦区杨浦区前10的初中第1--第10:兰生复旦,上外双语,复旦二附中,存志中学,同大实验,控江民办,杨浦实验,凯慧中学,上音实验,铁岭中学(根据近几年中考整体综合成绩和老师、学生、家长反馈排名)一线:兰生复旦(整体全市第二)二线:上外双语,复旦二附中,存志三线:同大实验,杨浦实验,控江民办杨浦实验学校:市重点录取率84%,区重点录取率100%。
杨实验16个600+,分613.5,学校平均分587.3。
其中:复附1人,复附青浦1人,华二紫竹1人,交附8人,交附嘉定1人,建平3人,曹二1人,复兴1人,格致奉贤1人,松二1人,控江32人,杨高26人,同济一附17人,上理附9人,市东2人,上财附3人,复旦实验2人,同济1人,中原1人;鞍山初级中学:高中达线率81%,市、区重点高中达线率62%,市重点中学达线率26%;闵行区闵行区前10的初中第1--第10:上宝中学,民办文来,民办文绮,华二初紫竹,协和双语,上师大初级,上海实验西校,莘松中学,莘光中学(根据近年中考综合成绩排名)一线:上宝二线:民办文来,民办文绮,华二初紫竹三线:协和双语上师大初级上海实验西校上宝中学:中考平均成绩超过596分;取得600分及以上成绩学生占39%;取得599.5~590分的学生占36.5%;75.5%的学生成绩达到590分及以上。
上宝中学初三首字母阅读练习10篇(1)When an animal helps another animal, it usually gets something valuable in return. For a long time, many scientists thought that only people could act generously just because it feels good.However, a new s 1 in Germany suggests that chimpanzees (an animal like a large monkey without a tail) also do good things for no real reason. And so do children who are as young as 18 months of age. Maybe it is because humans and chimpanzees s 2 an ancestor about 6 million years ago.People and chimpanzees appear to develop such features without any other t 3 , says Warneken, a scientist in Germany.Warneken and his partners worked on adult chimpanzees that live on an island in the African country of Uganda. They also worked with 18-month-old children in Germany. The researchers performed three experiments on the adult chimpanzees and two experiments on the kids. In the first a 4 experiment,a person tried to reach his arm into a cage to get a stick,but he couldn’t reach it. A chimpanzee was in the cage,and it could reach the stick if it wanted to.Thirty-six chimpanzees took part in this experiment one by one, and no chimpanzee saw what the other chimpanzees had done. Even though the animals hadn’t m 5 the person before, they usually took the stick and gave it to the person. What’s more, they did this whether or not the person offered them bananas as a reward.In the next experiment, 36 children acted in a s 6 way. They helped the person reach the stick, whether or not they were offered toys for their help.Researchers did other experiments on chimpanzees and babies. No rewards were offered in either experiment. And s 7 , both the chimpanzees and children went out of their way to help. Still, the new study is different from earlier findings. Researchers have found that chimpanzees don’t give rewards of food to other chimpanzees, even if it costs them nothing to be generous.(2)Mary Kay is a well-known American businesswoman. Her company, Mary Kay Cosmetics Inc. , is a very successful company which s 1 cosmetics (化妆品) andemploys people all over the world. She became successful through hard work and she has a strong belief in herself.Mary Kay was born in America. Soon after she started school, her father became ill. Her mother worked 14 hours a day in a restaurant to s 2 the family. Mary Kay had to do housework, cook, and take care of her father.After high school, her family couldn't afford to send her to college. So she got married and started a family. Then she started her sales career. At first, she sold books. Later, she visited people's homes to sell home care products. Mary Kay was successful selling those products. Her managers praised her work but never raised her pay. It t 3 her that men didn't believe that a woman could succeed in business. She decided to prove them wrong.In 1963, Mary Kay started her own company. It sold many skin care and beauty products. Today the company has sales of more than 1,000 million dollars and employs more than 800,000 sales representatives in 37 countries around the world and most of them are w 4 .Mary Kay shared with her employees her life motto—Belief first; Family second; Career third. Ever y year, she held an “Awards Night” and awarded a pink Cadillac car, diamond jewelries and 5-star vacations to s 5 employees. She praised them, not just money. The company wantswomen to feel good about themselves.May Kay died in 2001. She was a tough businesswoman w 6 a great knowledge of marketing and sales. Through her belief in women’s abilities and her willingness to give them a chance, she made the d 7 of a successful career come true for hundreds of thousands of women all over the world.(3)Early that morning, Tom didn't go to work as usual. He thought he had caught a cold and phoned the restaurant to ask for leave. But Tom didn't really feel ill enough to stay in bed. I 1 , he decided to go to the new shopping mall to buy a watch. The mall was interesting so he spent a few hours looking around. He felt h 2 and bought some popcorn(爆米花). Suddenly a large red and blue parrot appeared above him and came down again and again to eat the popcorn from Tom's packet.Tom was rather surprised, but he had seen the bird show at Ocean Park. He stretched out his arm and the parrot flew down and happily climbed onto his shoulder, and then onto his head.The parrot was quite friendly. So Tom just stood there w 3 the parrot on his head.The crowd of people grew and grew. A newspaper reporter heard the noise, saw the crowd and decided to investigate. This is what happened: the parrot escaped from the o 4 flat by flying out of the window. It enjoyed itself during the daytime, but when evening came the bird tried to find its home, without success.By the time the parrot found Tom, it had been free for two days and it was very hungry. It had had a drink from the f 5 but it hadn't had anything to eat at all. Popcorn was not its favorite food, but there was nothing else. So when it saw Tom, it was very p 6 . It wanted a friend, it needed some food and it was hoping to go home.Several hours later, the SPCA contacted (联系) the owner. He came to the mall with a bag of peanuts, which the parrot liked even better than popcorn. He put the peanuts into a cage and the parrot hopped in.Tom r 7 at last. He was tired and hungry, but the Parrot's owner thanked him and even gave him a reward—just enough to buy the watch.(4)It was a sunny summer Saturday. The sun shone down upon the grassland roundClover Farm.Robby, the eldest of the farmer’s four children, wasnot happy.“Come on, Robby, tell me the t 1 ,” called out his mother from the house where she was at work.Robby answered, “Mother, I don’t want to take the children to the grassland. I want to please myself!”“Who told you to take the children to the grassland --- Father?” Mother asked.“Yes, it was. He said I was to take them to play on the grassland, and not to leave there until he came back from the market.”“And what is it you want to do instead?”“I want to go with my net down to Butterfly Corner. There will be lots of butterflies out this sunny day. And the other boys at school are all c 2 . They have more than I do.”“Oh, dear! But I can guess why he gave those orders. He knew that this is a very busy day forme,” his mother said. “And as this is market-day at the town, he would be away until dinner time. So, you see, he has left you in charge. You are in Father’s p 3 this morning to guard the farm and all of us, especially the little kids. Don’t you think it’s an honor to be so trusted (信任)?”Something h 4 in Robby’s heart because of his mother’s words. He walked quietly away. After all, what were the butterflies compared with the kids left in his charge? “Hip, hip, hooray!” Robby cheered. He had won a victory --- o 5 himself.“Hi, Nettie! Hi, Dumps! Come along ! And where’s Baby ? We’re going to the grassland, and I’ll teach you to play a new game!” he shouted.The four kids enjoyed a happy day.At the dinner table, Father showed the family a new bike. He said to Robby, “Now I’ll tell you w 6 I wanted you to stay at home this morning. It was for this surprise. Look, my boy! For weeks back I’ve been planning to buy this bicycle for you. Today I bought it, and it’s yours!”For a few seconds Robby could not believe his eyes. The good, kind father had been planning for this boy’s p 7 ! “Oh, Father!” he cried.(5)Life in an American high school is an interesting and exciting learning experience. High school in America is not just a p 1 for studying some subjects. It is also an important social center, where students can develop other interests and talents.The high school is d 2 into four years. The teenager usually starts school at about 8 am ,and ends at about 3 pm. There’s no school on Saturday.Students have lunch at the school cafeteria, where they can choose from a variety of good things to eat and drink. After lunch they play a sport, talk to friends or s 3 relax. The lunch break lasts about an hour.When the school day ends, some students go home, but many still stay at school for after-school activities. There are many activities and clubs to choose. With the headmaster’s agreement, students can start any kind of club that is e 4 and fun!In the afternoon many students practice sports with the school team. Sports are an important part of high school life. It’s an honour (荣誉)to play on the school team.American high school students like to be "popular". This m 5 being a good student, being active in the community and being well-liked by others. Popularstudents are elected to take part in student government. Every year in June there are prizes for the best athletes and the best athletes.There are many social e 6 such as Spring Dance and School Picnic during the school year which involve (涉及) the whole school and the teachers.Most American high school students have a part-time job during the school year and a full-time job during the summer. Parents encourage their children to work b 7 its part of growing up and becoming responsible and independent.Most high schools have a job list to help students find work. Teenagers are fond of their jobs!(6)It seems like a magic trick sometimes. One day you walk down a street in Shanghai lined with old buildings. The next week you walk down the s 1 street and all the buildings are gone. It’s as if a magician had waved his wand: now you see it, now you don’t. And the next week themagician has done his work again, because that same street if now lined with high rise apartments and shopping malls.Urban redevelopment (城市改造) is a f 2 of life in all of China’s cities. There has been arush to become modern and to improve the living standards of Chinese people. But, as in most cases, when something is g 3 , something is also lost. In this case, what is lost is the connection to history that many old buildings represent.During the Spring Festival a traditional courtyard house (siheyuan) in Beijing was pulled down. Ironically (讽刺的是) , it had been the home of Liang Sicheng (梁思成) , an architect in the early twentieth century who had f 4 hard to preserve (保护) old buildings. The developer who tore down the house apologized and said he would rebuild it. But rebuilding history is not the same as preserving it. It’s like the farmer who said he was s 5 using the same axe that his great grandfather used a hundred years ago although, he admitted, the head of the axe had been replaced twice and the handle three times.Buildings are usually preserved for two reasons: they are e 6 architecturally interesting or they have a connection to a famous person or event. Shanghai has listed nearly four hundred buildings as worthy of historical preservation. Some, such as Mayfair Mansions on Suzhou Creek ( 苏州河 ) , have had a great influence on m 7 Western architecture. Others, such as Soong Ching Ling’s villa on Huaihai Road, provide us with a link to the founding of New China.So we shouldn’t be in a rush to tear them all down.(7)Steve Jobs died at the age of 56, after a very long battle with cancer. His d 1 was mourned by millions of people worldwide. He was a businessman, but he was the “Michael Jackson” of businessmen. His Apple products were like songs that touched people’s hearts and changed their lives. Jobs was not an i 2 , but he was an innovator (革新者) and a man with a great vision. He took technology that others had invented anddesigned products that had great style and were easy for people to use. And he made Apple products seem cool! The iMac, iPod, iPhone and iPad were always the c 3 products on the market.Steve Jobs was also a good example of “The American Dream.”He came from humble beginnings. He had been adopted as a child by a working class family in California. He didn’t have a good education. I 4 , he dropped out of college early on and started Apple in his garage. But his success was soon followed by adversity.Jobs was fired as CEO of the company in 1985, but that setback (挫折) did not stop him. Jobs built a new computer company and also started Pixar (皮克斯动画工作室) which produced the hit movies Toy Story and Finding Nemo. Later, when Apple was struggling, Jobs was brought back to s 5 the company—and he did it!Jobs is really a great role model for young people. He had a dream and he tool chances ( even f 6 chances, he admitted ) to achieve that dream. He suffered setbacks in business and in his health, but he refused to let those setbacks dampen (阻止) his desire of achieving his dream. In the end, he l 7 some inspirational words for young innovators: “Stay hungry, stay foolish!”(8)I once knew a man who was rich in his love for birds, and in turn earned their lovefor him.He lived in the midst of a grove (小树林) full of all kinds of trees. He had no wife or children in his home.He was an old man with a gray beard, blue and kind eyes, and a voice that the birds loved; and this was the w 1 he made them his friends.While he was at work in the grove, the birds came close to him to pick up the worms in the fresh earth he dug up. At first, they k 2 some distance from him, but they soon found he was a kind man, and would not hurt them, but liked to have them near him.They knew this by his kind eyes and voice, which told w 3 was in the heart. So, day by day their faith in his love grew in them.They came close to the rake. They would hop on top of it to be first at the worm. They would turn up their eyes into his when he spoke to them, as if they said, “He is a kind man; he loves us; we need not fear him.” All the birds of the grov e were s 4his fast friends. They were on the watch for him, and would fly down from the green tree tops to greet him with their chirp (喳喳声,唧唧声).When he had n 5 work to do with his rake or his hoe, he took crustsof bread with him, and dropped the crumbs on the ground. Down they would dart on his head and feet to catch the crumbs as they fell from his hand.He s 6 me how they loved him. He put a crust of bread in his mouth, holding it between his lips. Down they came like bees at a flower, and flew off with it crumb by crumb.When they though he slept too long in the morning, they would fly in and sit on the bedpost, and call him with their chirp.They went with him to church, and while he said his prayers and sang his hymns, they sat in the trees, and sang their praises to the same good God who cares for them as he does for us.Thus the love and trust of birds were a j 7 to him all his life long; and such love and trust no boy or girl can fail to win with the same kind heart, voice and eye that he had.(9)This year some twenty-three teenagers from all over the world will spend aboutten months in US homes. They will attend USA schools, meet US teenagers, and form impressions of the r 1 America. At the same time, about thirteen hundred American teenagers will go to other countries to learn new languages and gain a new understanding of the rest of the world.Here is a two - way student e 2 in action. Fred, a boy of nineteen, spent last year in Germany with George’s family. In turn, George’s son Mike spent a year in Fred’s home in America.Fred, a lively young man, knew little German when he arrived, but after two months’ study, the l 3 began to come to him. School was completely different from what he expected-much harder. Students took fourteen subjects instead of the six that are usual in the United States. There were a 4 no outside activities.Family life too, was different. The father’s word was law, and all activities were a 5 the family not a certain member of the family. Fred found the food too simple at first. Also, he missed having a car.“Back home, you pick up some friends in a car and go out and have a good time. In Germany, you w 6 , but you soon learn to like it.”At the same time in America, Mike, a friendly German boy, was also forming his idea.“Isuppose the lessons in American schools are too easy by our level,” he says. “But I have to say that I like it very much. In Germany we do nothing but study. Here we take part in many outside activities. I think that maybe your schools are b 7 in training for citizens. ” There ought to be some middle ground between the two.(10)Do you want to improve the way you study? Do you feel nervous before a test? Many students say that a lack of concentration is their biggest p 1 . It seriously affects their ability to study, so do their test results.If so, use these tips to helpyou. Study TechniquesYou should always study in the s 2 place. You shouldn't sit in a position that you use for another purpose. For example, when you sit on a sofa to study, your brain will think it is time to relax. Don't watch TV while you are studying. Experts w 3 that your concentration may be reduced by 50 percent if you attempt to study in this way. Always try to have a white wall in front of you, so there is nothing to distract (make less concentrated) you. Before sitting down to study, gather together all the equipment you need. Apart from your textbooks, pens, pencils and knives, make sure you have a dictionary. If your study desk or table is needed when you are not studying, s 4 all your equipment in a box beside it.Your eyes will become tired if you try to read a text which is on a flat surface. Position your book at an angle of 30 degrees.Be realistic and don't try to complete too much in one study period. Finish one thing before beginning another. If you need a b 5 , get up and walk around for a few minutes, but try not to telephone a friend or have something to eat.Test-taking SkillsAll your hard work will be for n 6 if you are too nervous to take your test. Getting plenty of rest is very important. This means do not study all night before your test! It is a better idea to have a long-term study plan. Try to make a timetable for your study which lasts for a few m onths.Exercise is a great way to reduce pressure. Doing some form of exercise every day will also improve your concentration. Eat healthy food, too.When you arrive in the examination room, find your seat and sit down. Breathe slowly and deeply. Check the time on the clock during the test, but not too o 7 . Above all, take no notice of everyone else and give the test paper your undivided attention.答案:(1)study、share、training、animal、met、similar、still(2)sells、support、taught、women、 successful、with、dream(3)Instead、hungry、with、owner's、 fountain、 pleased、relaxed(4)trouble、collecting、place、happened、over、shy、pleasure (5)place、divided、simply、educational、means、events、because (6)same、fact 、gained、fought、still、either、modern(7)death、inventor、coolest、Instead、save、foolish、left (8)way、kept、what、soon、no、showed、joy(9)real、exchange、language、almost、around、walk、better (10)problem、same、warn 、store、break 、nothing、often。
(1)When an animal helps another animal, it usually gets something valuable in return. For a long time, many scientists thought that only people could act generously just because it feels good.However, a new s 1 in Germany suggests that chimpanzees (an animal like a large monkey without a tail) also do good things for no real reason. And so do children who are as young as 18 months of age. Maybe it is because humans and chimpanzees s 2 an ancestor about 6 million years ago.People and chimpanzees appear to develop such features without any other t 3 , says Warneken, a scientist in Germany.Warneken and his partners worked on adult chimpanzees that live on an island in the African country of Uganda. They also worked with 18-month-old children in Germany. The researchers performed three experiments on the adult chimpanzees and two experiments on the kids. In the first a 4 experiment,a person tried to reach his arm into a cage to get a stick,but he couldn’t reach it. A chimpanzee was in the cage,and it could reach the stick if it wanted to.Thirty-six chimpanzees took part in this experiment one by one, and no chimpanzee saw what the other chimpanzees had done. Even though the animals hadn’t m 5 the person before, they usually took the stick and gave it to the person. What’s more, they did this whether or not the person offered them bananas as a reward.In the next experiment, 36 children acted in a s 6 way. They helped the person reach the stick, whether or not they were offered toys for their help.Researchers did other experiments on chimpanzees and babies. No rewards were offered in either experiment. And s 7 , both the chimpanzees and children went out of their way to help. Still, the new study is different from earlier findings. Researchers have found that chimpanzees don’t give rewards of food to other chimpanzees, even if it costs them nothing to be generous.(2)Mary Kay is a well-known American businesswoman. Her company, Mary Kay Cosmetics Inc. , is a very successful company which s 1 cosmetics (化妆品) and employs people all over the world. She became successful through hard work and she has a strong belief in herself.Mary Kay was born in America. Soon after she started school, her father became ill. Her mother worked 14 hours a day in a restaurant to s 2 the family. Mary Kay had to do housework, cook, and take care of her father.After high school, her family couldn't afford to send her to college. So she got married and started a family. Then she started her sales career. At first, she sold books. Later, she visited people's homes to sell home care products. Mary Kay was successful selling those products. Her managers praised her work but never raised her pay. It t 3 her that men didn't believe that a woman could succeed in business. She decided to prove them wrong.In 1963, Mary Kay started her own company. It sold many skin care and beauty products. Today the company has sales of more than 1,000 million dollars and employs more than 800,000 sales representatives in 37 countries around the world and most of them are w 4 .Mary Kay shared with her employees her life motto—Belief first; Family second; Career third. Every year, she held an “Awards Night” and awarded a pink Cadillac car, diamond jewelries and 5-star vacations to s 5 employees. She praised them, not just money. The company wantswomen to feel good about themselves.May Kay died in 2001. She was a tough businesswoman w 6 a great knowledge of marketing and sales. Through her belief in women’s abilities and her willingness to give them a chance, she made the d 7 of a successful career come true for hundreds of thousands of women all over the world.(3)Early that morning, Tom didn't go to work as usual. He thought he had caught a cold and phoned the restaurant to ask for leave. But Tom didn't really feel ill enough to stay in bed. I 1 , he decided to go to the new shopping mall to buy a watch. The mall was interesting so he spent a few hours looking around. He felt h 2 and bought some popcorn(爆米花). Suddenly a large red and blue parrot appeared above him and came down again and again to eat the popcorn from Tom's packet.Tom was rather surprised, but he had seen the bird show at Ocean Park. He stretched out his arm and the parrot flew down and happily climbed onto his shoulder, and then onto his head.The parrot was quite friendly. So Tom just stood there w 3 the parrot on his head.The crowd of people grew and grew. A newspaper reporter heard the noise, saw the crowd and decided to investigate. This is what happened: the parrot escaped from the o 4 flat by flying out of the window. It enjoyed itself during the daytime, but when evening came the bird tried to find its home, without success.By the time the parrot found Tom, it had been free for two days and it was very hungry. It had had a drink from the f 5 but it hadn't had anything to eat at all. Popcorn was not its favorite food, but there was nothing else. So when it saw Tom, it was very p 6 . It wanted a friend, it needed some food and it was hoping to go home.Several hours later, the SPCA contacted (联系) the owner. He came to the mall with a bag of peanuts, which the parrot liked even better than popcorn. He put the peanuts into a cage and the parrot hopped in.Tom r 7 at last. He was tired and hungry, but the Parrot's owner thanked him and even gave him a reward—just enough to buy the watch.(4)It was a sunny summer Saturday. The sun shone down upon the grassland round Clover Farm. Robby, the eldest of the farmer’s four children, was not happy.“Come on, Robby, tell me the t 1 ,” called out his mother from the house where she was at work.Robby answered, “Mother, I don’t want to take the children to the grassland. I want to please myself!”“Who told you to take the children to the grassland --- Father?” Mother asked.“Yes, it was. He said I was to take them to play on the grassland, and not to leave there until he came back from the market.”“And what is it you want to do instead?”“I want to go with my net down to Butterfly Corner. There will be lots of butterflies out this sunny day. And the other boys at school are all c 2 . They have more than I do.”“Oh, dear! But I can guess why he gave those orders. He knew that this is a very busy day forme,” his mother said. “And as this is market-day at the town, he would be away until dinner time. So, you see, he has left you in charge. You are in Father’s p 3 this morning to guard the farm and all of us, especially the little kids. Don’t you think it’s an honor to be so trusted (信任)?”Something h 4 in Robby’s heart because of his mother’s words. He walked quietly away. After all, what were the butterflies compared with the kids left in his charge? “Hip, hip, hooray!” Robby cheered. He had won a victory --- o 5 himself.“Hi, Nettie! Hi, Dumps! Come along ! And where’s Baby ? We’re going to the grassland, and I’ll teach you to play a new game!” he shouted.The four kids enjoyed a happy day.At the dinner table, Father showed the family a new bike. He said to Robby, “Now I’ll tell you w 6 I wanted you to stay at home this morning. It was for this surprise. Look, my boy! For weeks back I’ve been planning to buy this bicycle for you. Today I bought it, and it’s yours!”For a few seconds Robby could not believe his eyes. The good, kind father had been planning for this boy’s p 7 ! “Oh, Father!” he cried.(5)Life in an American high school is an interesting and exciting learning experience. High school in America is not just a p 1 for studying some subjects. It is also an important social center, where students can develop other interests and talents.The high school is d 2 into four years. The teenager usually starts school at about 8 am ,and ends at about 3 pm. There’s no school on Saturday.Students have lunch at the school cafeteria, where they can choose from a variety of good things to eat and drink. After lunch they play a sport, talk to friends or s 3 relax. The lunch break lasts about an hour.When the school day ends, some students go home, but many still stay at school for after-school activities. There are many activities and clubs to choose. With the headmaster’s agreement, students can start any kind of club that is e 4 and fun!In the afternoon many students practice sports with the school team. Sports are an important part of high school life. It’s an honour (荣誉)to play on the school team.American high school students like to be "popular". This m 5 being a good student, being active in the community and being well-liked by others. Popular students are elected to take part in student government. Every year in June there are prizes for the best athletes and the best athletes.There are many social e 6 such as Spring Dance and School Picnic during the school year which involve (涉及) the whole school and the teachers.Most American high school students have a part-time job during the school year and a full-time job during the summer. Parents encourage their children to work b 7 its part of growing up and becoming responsible and independent.Most high schools have a job list to help students find work. Teenagers are fond of their jobs!(6)It seems like a magic trick sometimes. One day you walk down a street in Shanghai lined with old buildings. The next week you walk down the s 1 street and all the buildings are gone. It’s as if a magician had waved his wand: now you see it, now you don’t. And the next week themagician has done his work again, because that same street if now lined with high rise apartments and shopping malls.Urban redevelopment (城市改造) is a f 2 of life in all of China’s cities. There has been a rush to become modern and to improve the living standards of Chinese people. But, as in most cases, when something is g 3 , something is also lost. In this case, what is lost is the connection to history that many old buildings represent.During the Spring Festival a traditional courtyard house (siheyuan) in Beijing was pulled down. Ironically (讽刺的是) , it had been the home of Liang Sicheng (梁思成) , an architect in the early twentieth century who had f 4 hard to preserve (保护) old buildings. The developer who tore down the house apologized and said he would rebuild it. But rebuilding history is not the same as preserving it. It’s like the farmer who said he was s 5 using the same axe that his great grandfather used a hundred years ago although, he admitted, the head of the axe had been replaced twice and the handle three times.Buildings are usually preserved for two reasons: they are e 6 architecturally interesting or they have a connection to a famous person or event. Shanghai has listed nearly four hundred buildings as worthy of historical preservation. Some, such as Mayfair Mansions on Suzhou Creek (苏州河) , have had a great influence on m 7 Western architecture. Others, such as Soong Ching Ling’s villa on Huaihai Road, provide us with a link to the founding of New China.So we shouldn’t be in a rush to tear them all down.(7)Steve Jobs died at the age of 56, after a very long battle with cancer. His d 1 was mourned by millions of people worldwide. He was a businessman, but he was the “Michael Jackson” of businessmen. His Apple products were like songs that touched people’s hearts and changed their lives. Jobs was not an i 2 , but he was an innovator (革新者) and a man with a great vision. He took technology that others had invented anddesigned products that had great style and were easy for people to use. And he made Apple products seem cool! The iMac, iPod, iPhone and iPad were always the c 3 products on the market.Steve Jobs was also a good example of “The American Dream.”He came from humble beginnings. He had been adopted as a child by a working class family in California. He didn’t have a good education. I 4 , he dropped out of college early on and started Apple in his garage. But his success was soon followed by adversity.Jobs was fired as CEO of the company in 1985, but that setback (挫折) did not stop him. Jobs built a new computer company and also started Pixar (皮克斯动画工作室) which produced the hit movies Toy Story and Finding Nemo. Later, when Apple was struggling, Jobs was brought back to s 5 the company—and he did it!Jobs is really a great role model for young people. He had a dream and he tool chances ( even f 6 chances, he admitted ) to achieve that dream. He suffered setbacks in business and in his health, but he refused to let those setbacks dampen (阻止) his desire of achieving his dream. In the end, he l 7 some inspirational words for young innovators: “Stay hungry, stay foolish!”(8)I once knew a man who was rich in his love for birds, and in turn earned their love for him.He lived in the midst of a grove (小树林) full of all kinds of trees. He had no wife or children in his home.He was an old man with a gray beard, blue and kind eyes, and a voice that the birds loved; and this was the w 1 he made them his friends.While he was at work in the grove, the birds came close to him to pick up the worms in the fresh earth he dug up. At first, they k 2 some distance from him, but they soon found he was a kind man, and would not hurt them, but liked to have them near him.They knew this by his kind eyes and voice, which told w 3 was in the heart. So, day by day their faith in his love grew in them.They came close to the rake. They would hop on top of it to be first at the worm. They would turn up their eyes into his when he spoke to them, as if they said, “He is a kind man; he loves us; we need not fear him.” All the birds of the grove were s 4 his fast friends. They were on the watch for him, and would fly down from the green tree tops to greet him with their chirp (喳喳声,唧唧声).When he had n 5 work to do with his rake or his hoe, he took crustsof bread with him, and dropped the crumbs on the ground. Down they would dart on his head and feet to catch the crumbs as they fell from his hand.He s 6 me how they loved him. He put a crust of bread in his mouth, holding it between his lips. Down they came like bees at a flower, and flew off with it crumb by crumb.When they though he slept too long in the morning, they would fly in and sit on the bedpost, and call him with their chirp.They went with him to church, and while he said his prayers and sang his hymns, they sat in the trees, and sang their praises to the same good God who cares for them as he does for us.Thus the love and trust of birds were a j 7 to him all his life long; and such love and trust no boy or girl can fail to win with the same kind heart, voice and eye that he had.(9)This year some twenty-three teenagers from all over the world will spend about ten months in US homes. They will attend USA schools, meet US teenagers, and form impressions of the r 1 America. At the same time, about thirteen hundred American teenagers will go to other countries to learn new languages and gain a new understanding of the rest of the world.Here is a two-way student e 2 in action. Fred, a boy of nineteen, spent last year in Germany with George’s family. In turn, George’s son Mike spent a year in Fred’s home in America.Fred, a lively young man, knew little German when he arrived, but after two months’ study, the l 3 began to come to him. School was completely different from what he expected-much harder. Students took fourteen subjects instead of the six that are usual in the United States. There were a 4 no outside activities.Family life too, was different. The father’s word was law, and all activities were a 5 the family not a certain member of the family. Fred found the food too simple at first. Also, he missed having a car.“Back home, you pick up some friends in a car and go out and have a good time. In Germany, you w 6 , but you soon learn to like it.”At the same time in America, Mike, a friendly German boy, was also forming his idea.“Isuppose the lessons in American schools are too easy by our level,” he says. “But I have to say that I like it very much. In Germany we do nothing but study. Here we take part in many outside activities. I think that maybe your schools are b 7 in training for citizens. ” There ought to be some middle ground between the two.(10)Do you want to improve the way you study? Do you feel nervous before a test? Many students say that a lack of concentration is their biggest p 1 . It seriously affects their ability to study, so do their test results.If so, use these tips to help you.Study TechniquesYou should always study in the s 2 place. You shouldn't sit in a position that you use for another purpose. For example, when you sit on a sofa to study, your brain will think it is time to relax. Don't watch TV while you are studying. Experts w 3 that your concentration may be reduced by 50 percent if you attempt to study in this way. Always try to have a white wall in front of you, so there is nothing to distract (make less concentrated) you. Before sitting down to study, gather together all the equipment you need. Apart from your textbooks, pens, pencils and knives, make sure you have a dictionary. If your study desk or table is needed when you are not studying, s 4 all your equipment in a box beside it.Your eyes will become tired if you try to read a text which is on a flat surface. Position your book at an angle of 30 degrees.Be realistic and don't try to complete too much in one study period. Finish one thing before beginning another. If you need a b 5 , get up and walk around for a few minutes, but try not to telephone a friend or have something to eat.Test-taking SkillsAll your hard work will be for n 6 if you are too nervous to take your test. Getting plenty of rest is very important. This means do not study all night before your test! It is a better idea to have a long-term study plan. Try to make a timetable for your study which lasts for a few months.Exercise is a great way to reduce pressure. Doing some form of exercise every day will also improve your concentration. Eat healthy food, too.When you arrive in the examination room, find your seat and sit down. Breathe slowly and deeply. Check the time on the clock during the test, but not too o 7 . Above all, take no notice of everyone else and give the test paper your undivided attention.答案:(1) study、share、training、animal、met、similar、still(2) sells、support、taught、women、successful、with、dream(3) Instead、hungry、with、owner's、fountain、pleased、relaxed(4) trouble、collecting、place、happened、over、shy、pleasure(5)place、divided、simply、educational、means、events、because(6)same、fact 、gained、fought、still、either、modern(7)death、inventor、coolest、Instead、save、foolish、left(8)way、kept、what、soon、no、showed、joy(9)real、exchange、language、almost、around、walk、better(10)problem、same、warn 、store、break 、nothing、often。
上宝中学2013学年第一学期期中考试初三数学试卷一、选择题(本大题共6题,每题4分,满分24分)1. 已知在△ABC 中,点D 、E 、F 分别在边AB 、AC 和BC 上,且DE ∥BC ,DF ∥AC ,那么下列比例式中,正确的是()A. BC DE EC AE =;B. FBCF EC AE =;C .BC DE AC DF =;D. BC FC AC EC = 2. 已知在Rt △ABC 中,∠C=90°,∠A 、∠B 、∠C 的对边分别是a 、b 、c ,则下列关系式错误的是()A .a =b tan A ;B .b =ccos A ;C .a =c sin A ;D .c =sin b A3. 如图,平行四边形ABCD 中,过点B 的直线与对角线AC 、边AD 分别交于点E 和F .过点E 作EG ∥BC ,交AB 于G ,则图中相似三角形有()A .7对;B .6对;C .5对;D . 4对第3题 第4题4.二次函数y =ax 2+bx +c (a ,b ,c 是常数,a ≠0)图象的对称轴是直线x =1,其图象的一部分如图所示.对于下列说法:①abc >0;②a -b +c <0;③3a +c <0;④当-1<x <3时,y >0.其中正确的结论是().A .①②;B .①④;C .②③;D .②③④5.下列说法正确的个数有()①平分弦的直径,平分这条弦所对的弧;②在等圆中,如果弦相等,那么它们所对的弧也相等;③等弧所对的圆心角、弦、弦心距都分别相等;④过三点可以画一个圆.A .1个;B .2个;C .3个;D .4个 6.下列命题中,错误命题的个数有()①如图,若AB DE BC EF=,则////AD BE CF ; ②已知一个单位向量e ,设a 是非零向量,则1a e a=;③在△ABC 中,D 在AB 边上,E 在AC 边上,且△ADE和△ABC 相似,若AD = 3,DB = 6,AC = 5,则它们的相似比为13或35; ④对于抛物线f (x )=x 2-4x +c ,有f (1)>f (-1);⑤在△ABC 中,AB =23,AC =2,BC 边上的高AD =3,则BC =4,∠B =30°.A .5个;B .4个;C .3个;D .2个二、填空题(本大题共12题,每题4分,满分48分)7. 在比例尺为1:50000的地图上,某地区的图上面积为20平方厘米,则实际面积为 平方千米.8. 在△ABC 中,|cosA –32|+(1– cotB)2 = 0 ,则△ABC 的形状是. 9.将二次函数5422+-=x x y 图象向左平移1个单位,再向下平移2个单位后,所得图 象的解析式是.10. 如图,梯形ABCD 中,AD ∥BC ,E 、F 分别是AB 、CD 上的点,且EF ∥BC ,53AE BC BE AD ==,若AB a =,DC b =,则向量EF 可用a 、b 表示为_____________________.第10题第11题第12题第13题11. 如图,在△ABC 中,点D 是AB 的黄金分割点(AD >BD ),BC=AD ,如果∠A CD=90°,那么tanA=.第6DBC A E12.如图AD 是△ABC 的中线,E 是AD 上一点,且AE=13AD ,CE 的延长线交AB 于点F ,若AF=1.2,则AB=.13. 如图所示,在△ABC 中,DE ∥AB ∥FG ,且FG 到DE 、AB 的距离之比为1:2.若△ABC 的面积为32,△CDE 的面积为2,则△CFG 的面积S=14. 在△ABC 中,AB=3,AC=4,△ABC 绕着点A 旋转后能与△AB ′C ′重合,那么△ABB ′与△ACC ′的周长之比为.15.如图,△ABC 中,AB =AC ,AD ⊥BC 于D ,AE =EC ,AD =18,BE =15,tan ∠EBC =.16.如图,AC 是高为30米的某一建筑,在水塘的对面有一段以BD 为坡面的斜坡,小明在A 点观察点D 的俯角为30°,在A 点观察点B 的俯角为45°,若坡面BD 的坡度为1:3,则BD 的长为 .17. ⊙O 的半径为5cm ,弦AB//CD ,AB=6cm ,CD=8 cm ,则AB 与CD的距离为cm.18.如图,在Rt △ABC 中,∠C =90°,AB=5,BC =3,点D 、E 分别在BC 、AC 上,且BD=CE ,设点C 关于DE 的对称点为F ,若DF ∥AB ,则BD 的长为. 三、解答题(本大题共7题,满分78分)19.(本题第(1)题3分,第(2)题7分,满分10分)在平面直角坐标系中,抛物线过原点O ,且与x 轴交于另一点A (A 在O 右侧),顶点为B .艾思轲同学用一把宽3cm 的矩形直尺对抛物线进行如下测量:(1)量得OA =3cm ;(2)当把直尺的左边与抛物线的对称轴重合,使得直尺左下端点与抛物线的顶点重合时(如图),测得抛物线与直尺右边的交点C 的刻度读数为4.5cm . 艾思轲同学将A 的坐标记作(3,0),然后利用上述结论尝试完成下列各题:AC BD(1)写出抛物线的对称轴;(2)求出该抛物线的解析式.20.(本题每小题5分,满分10分)在Rt △ABC 中,∠ACB=90°,AB=5,sin ∠CAB=45,D 是斜边AB 上一点,过点A 作AE ⊥CD ,垂足为E ,AE 的延长线交BC 于点F .(1)当tan ∠BCD =12时,求线段BF 的长; (2)当BF =54时,求线段AD 的长. 21.(本题每小题5分,满分10分)如图,已知⊙O 的半径为5,弦AB 的长等于8,OD ⊥AB ,垂足为点D ,DO 的延长线与⊙O 相交于点C ,点E 在弦AB 的延长线上,CE 与⊙O 相交于点F ,cos C =35. 求:(1)CD 的长;(2)EF 的长.22.(本题每小题5分,满分10分)如图,在一笔直的海岸线l 上有AB 两个观测站,A 在B 的正东方向,AB=2(单位:km ).有一艘小船在点P 处,从A 测得小船在北偏西60°的方向,从B 测得小船在北偏东45°的方向.(1)求点P 到海岸线l 的距离;(2)小船从点P 处沿射线AP 的方向航行一段时间后,到点C 处,此时,从B 测得小船在北偏西15°的方向.求点C 与点B 之间的距离.(上述两小题的结果都保留根号)23.(本题第(1)题5分,第(2)题7分,满分12分)如图,在△ABC 中,AB =AC ,D 是BC 的中点,DF ⊥AC ,E 是DF 的中点,联结AE 、BF. 求证:(1)2DF CF AF =⋅; (2)AE ⊥BF. 24. (本题第(1)题3分,第(2)题4分,第(3)题5分,满分12分)已知抛物线y =x 2-2x +c 与x 轴交于A .B 两点,与y 轴交于C 点,抛物线的顶点为D 点,点A 的坐标为(-1,0).(1)求D 点的坐标; DA EBC OF H E F C(2)如图1,连接AC ,BD 并延长交于点E ,求∠E 的度数;(3)如图2,已知点P (-4,0),点Q 在x 轴下方的抛物线上,直线PQ 交线段AC 于点M ,当∠PMA=∠E 时,求点Q 的坐标.25. (本题第(1)题3分,第(2)题5分,第(3)题6分,满分14分)如图,在矩形ABCD 中,AB=3,BC=4,动点P 从点D 出发沿DA 向终点A 运动,同时动点Q 从点A 出发沿对角线AC 向终点C 运动.过点P 作PE ∥DC ,交AC 于点E ,动点P 、Q 的运动速度是每秒1个单位长度,运动时间为x 秒,当点P 运动到点A 时,P 、Q 两点同时停止运动.设PE=y .(1)求y 关于x 的函数关系式;(2)探究:当x 为何值时,四边形PQBE 为梯形?(3)是否存在这样的点P 和点Q ,使P 、Q 、E 为顶点的三角形是等腰三角形?若存在,请求出所有满足要求的x 的值;若不存在,请说明理由.备用图 备用图25、解:(1)∴∠D=90°∴AC=225AD CD +=∵PE ∥CD ∴⊿APE ∽⊿ADC ----------- 2分∴AP AE PE AD AC DC == 即:4453x AE y -== ∴353,544y x AE x =-+=-+----------- 4分(2)①显然,当QB ∥PE 时,四边形PQBE 是矩形,非梯形,不合题意,舍去;②当QP ∥BE 时,∠PQE=∠BEQ ∴∠AQP=∠CEB∵AD ∥BC ∴∠PAQ=∠BCE ∴⊿PAQ ∽⊿BCE ----------- 6分 ∴PA AQ AQ BC CE AC AE ==- 即:445455(5)4x x x xx -==--+∴45x =----------- 8分∴当45x =时,QP ∥BE 而QB 与PE 不平行,四边形PQBE 是梯形。
(3)存在。
分四种情况:当Q 在线段AE 上时:QE=AE-AQ=595544x x x -+-=-①当QE=PE 时,935344x x -=-+∴43x =②当QP=QE 时,∠QPE=∠QEP∵∠APQ+∠QPE=90°∠PAQ+∠QEP=90°∴∠APQ=∠PAQ ∴AQ=QP=QE∴954x x =-∴2013x = ③当QP=PE 时,过P 作PF ⊥QE 于F ,则FE=12QE=19209(5)248x x --= ∵PE ∥DC ∴∠AEP=∠ACD∴cos ∠AEP= cos ∠ACD=35CD AC = ∵cos ∠AEP=209383534xFE PE x -==-+∴2827x = ④当点Q 在线段EC 上时,⊿PQE 只能是钝角三角形,∴PE=EQ 即:PE=AQ-AE∴353(5)44x x x -+=--+∴83x = 综上,当43x =或2013x =或2827x =或83x =时,⊿PQE 为等腰三角形。
[评分标准:第(3)小题共6分,答对2个给3分,答对3个给5分,全对给6分。
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