2011年名师辅导班暑期新初三入学考试
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九年级上册科学班2011暑期内部竞赛(2)班级姓名得分考试时间:120分钟满分:150分本试卷中可能用到的相对原子质量:H—1 C—12 O一16 S一32 Cl—35.5 Zn—65 Ca—40 Na一23 K—39 Mg—24 Fe—56 Cu一64一、选择题(本大题共20小题。
每小题3分,共60分。
请选出每个小题中一个符合题意的选项,不选、多选、错选均不给分)1.K+、Fe3+、Ba2+、OH—、NO3—与CO32-六种亲离子两两结合可以组成能溶于水的盐有()A.3个B.4个C.5个D.6个2.只用粉酞试液和同组的稀溶液间相互反应就能检验出的一组是()A.NaCl、KNO3、NaOH、B. NaOH、KOHHClC.H2SO4、HCl、NaOH D NaOH 、H2SO4、NaCl3. 有甲、乙、丙三种溶液,甲溶液和K2SO4溶液反应,乙溶液和KCl溶液反应,丙溶液和KOH溶液反应,均可生成KNO3,那么甲、乙、丙是下列各组溶液中的哪一组( )A.甲为稀HNO3,乙为AgNO3溶液,丙为NaNO3溶液B.甲为Ba(OH)2溶液,乙为NaNO3溶液,丙为稀HNO3C.甲为Ba(NO3)2溶液,乙为稀HNO3,丙为AgNO3溶液D.甲为Ba(NO3)2溶液,乙为AgNO3溶液,丙为稀HNO34.向某溶液中滴加BaCl2溶液,产生不溶于稀硝酸的白色沉淀,则该溶液中()A.一定含有硫酸根离子B.一定含有银离子C.既含有硫酸根离子又含有根离子D.一定不含有硫酸根离子5.白炽灯的灯丝断了之后,如果再搭接上,还会发光。
这时的耗电功率与原来相比A、增加B.减少C.不变D.耗电功率比原来增加或减少由灯丝搭接的位置决定6.图为一个白炽灯泡。
正常工作时的电流约是A.0.27毫安 B.270毫安C.0.41安培 D.0.11安培7.落在高压线上的鸟儿不会触电死亡,这是因为A.鸟爪上的角质层是绝缘的B.鸟儿对电流的承受能力比较强C.鸟儿双脚落在同一条导线上,没有电流流过鸟的身体D.高压线有橡胶外皮8.家用电熨斗为适应不同衣料的熨烫,设计了调整温度的多挡开关。
12011暑假八年级升九年级辅导班数学综合检测题 姓名__________ 得分____________一、选择题(本题共10小题,每小题4分,共40分)1.若分式112--x x 的值为0,则x 的值为( )A . 1B . -1C . ±1D .22.下列运算正确的是A .a 3•a 2=a 6B .(x 3)3=x 6C .x 5+x 5=x 10D .(-ab )5÷(-ab )2 =-a 3b 33. 计算1÷()2111mm m+∙--的结果果 A .-m 2-2m -1B .-m 2+2m -1C .m 2-2m -1D .m 2-14.任意给定一个非零实数,按下列程序计算,最后输出的结果是( )A.mB.1m +C.1m -D. 2m5.不等式组⎩⎨⎧≥+<-0302x x 的解集在数轴上正确..表示的是 6. 直角三角形两直角边边长分别为6cm 和8cm ,则连接这两条直角边中点的线段长为( ) A .10cm B .3cmC .4cmD .5cm2125a7.反比例函数y=xk(k>0)在第一象限内的图象如图,点M 是图象上一点,MP 垂直x 轴于点P ,如果△MOP 的面积为1,那么k 的值是( ) A .1 B . 2 C .4 D8.如图:已知,平行四边形ABCD 中,CE ⊥AB ,E 为垂足,如果∠A=125°,则∠BCE 的度数是( )A .25°B .55°C .35°D .30°9.汶川地震后,吉林电视台法制频道在端午节组织发起“绿丝带行动”,号召市民为四川受灾的人们祈福.人们将绿丝带剪成小段,并用别针将折叠好的绿丝带别在胸前,如图所示,绿丝带重叠部分形成的图形是( ) A 、正方形 B 、等腰梯形 C 、菱形 D 、矩形10.如图是一个圆柱形饮料罐,底面半径是5,高是12,上底面中心有一个小圆孔,则一条到达底部的直吸管在罐内部分....a 的长度(罐壁的厚度和小圆孔的大小忽略不计)范围是( )A 、1213a ≤≤B 、1215a ≤≤C 、512a ≤≤D 、513a ≤≤ 二、填空题(本题共4小题,每小题5分,共20分)11.2005年新版人民币中一角硬币的直径约为0.022m ,用科学记数法表示为 ____ m . 12..因式分解:22a b ab b ++=_____________________.13.某校规定学生期末数学总评成绩由三部分构成:卷面成绩、课外论文成绩、平日表现成绩(三部分所占比例如图),若方方的三部分得分依次是92、80、•84,则她这学期期末数学总评成绩是 _________ . 14.如图,直线L 1、L 2、L 3分别过正方形ABCD 的三个顶点A 、D 、C ,且相互平行,若L 1、L 2的距离为1,L 2、L 3的距离为2,则正方形的边长为 .AEBCD第8题图第7题图3三、解答题(第15、16、17、18小题每题10分;第19、20小题每题15分;第21小题20分,满分90分) 15.先化简,再求值:21211x x ---,其中x=-2 【解】16.如图,已知平行四边形ABCD 中,点E 为BC 边的中点, 连结DE 并延长DE 交AB 延长线于F . 求证:CD BF =.证明:17.如图,已知∠AOB,OA =OB ,点E 在OB 边上, 四边形AEBF 是矩形.请你只用无刻度...的直尺在图 中画出∠AOB 的平分线(请保留画图痕迹).18.如图,在平面直角坐标系中,网格中每一个 小正方形的边长为1个单位长度,(1) 请在所给的网格内画出以线段AB 、BC 为 边的菱形并写出点D 的坐标 ; (2)线段BC 的长为 ; (3)菱形ABCD 的面积为 .F19.一次学科测验,学生得分均为整数,满分10分,成绩达到6分以上(包括6分)为合格.成绩达到9分为优秀.这次测验中甲乙两组学生成绩分布的条形统计图如下(1)请补充完成下面的成绩统计分析表:(2)甲组学生说他们的合格率、优秀率均高于乙组,所以他们的成绩好于乙组.但乙组学生不同意甲组学生的说法,认为他们组的成绩要高于甲组.请你给出三条支持乙组学生观点的理由.【解】20.江南生态食品加工厂收购了一批质量为10000千克的某种山货,根据市场需求对其进行粗加工和精加工处理,已知精加工的该种山货质量比粗加工的质量3倍还多2000千克.求粗加工的该种山货质量.【解】421.如图所示,在直角梯形ABCD中,AD//BC,∠A=90°,AB=12,BC=21,AD=16。
九年级上册科学班2011暑期内部竞赛(1)班级 姓名 得分考试时间:120分钟 满分:150分本试卷中可能用到的相对原子质量:H —1 C —12 O 一16 S 一32 Cl —35.5 Zn —65 Ca —40 Na 一23 K —39 Mg —24 Fe —56 Cu 一64一、选择题(本大题共20小题。
每小题3分,共60分。
请选出每个小题中一个符合题意的选项,不选、多选、错选均不给分)1.下列属于化学变化的是 ( )。
A .研碎胆矾B .铜表面产生铜绿C .过滤D .制取蒸馏水2.化学科学的发展为人类提供了更多的生活、生产资料,下面做法利用了化学变化的是( )。
A .海员蒸馏海水获取淡水B .工匠融化玻璃吹制各种容器C .工业上分离液态空气得到氧气、氮气D .大棚蔬菜生产施用二氧化碳气体提高产量3.我市是第六个国家级“光谷”,下列过程属于物理变化的是( )。
A .二氧化硅(SiO 2)与焦炭制粗硅(Si )B .氢气与四氯化硅(SiCl 4)制纯硅(Si )C .太阳能热水器中冷水变热水D .在催化剂作用下太阳能光解水制氢4. 下列过程中主要只涉及物理变化的是( )。
A .浓硫酸使白纸变黑B .用灼烧法鉴别羊毛和合成纤维C .生石灰遇水变成熟石灰D .用酒精浸泡紫罗兰花自制酸碱指示剂5.C. 草木灰水显碱性D. 胃酸过多的人不宜多吃桔子6.鉴别下列各组物质,括号中选用的试剂或方法,不正确...的是( )。
A .C 2H 5OH 和NaCl 溶液(闻气味) B .NaOH 溶液和稀H 2SO 4 溶液(酚酞试液)C .Ca(OH)2溶液和NaOH 溶液(稀盐酸)D .KMnO 4 和KClO 3 (观察颜色)7.我国化工专家侯德榜发明了“联合制碱法”,其生产过程中发生的反应主要是:①NH 3 + CO 2 + H 2O ==== NH 4HCO 3②NH 4HCO 3 + NaCl ==== NaHCO 3↓ + NH 4Cl ③2 NaHCO 3 ==== 2 Na 2CO 3+H2O+CO 2↑。
2013年新九年级暑秋入学试卷(满分120分,考试时间100分钟)学校:______________________ 班级:__________ 姓名:_________一、选择题(每小题3分,共24分)1. 已知a >b ,c 为任意实数,则下列不等式中一定成立的是( )A .ac <bcB .ac 2>bc 2C .a +c <b +cD .a -c >b -c2. 下列从左边到右边的变形是分解因式的是( ) A .1()1am bm m a b +-=+-B .22()()a b a b a b +-=-C .()()()(1)x a b b bx ax x a b b -+-=--D .222112()x x x x++=+ 3. 下列计算错误的是( )A .3223x y xx y y=B .0.220.77a b a b a b a b ++=-- C .1a bb a-=--D .2222mn mn m n n m-=-- 4. 已知P ,Q 是线段AB 的两个黄金分割点,且AB =10cm ,则PQ 长为( )cm . A .)15(5-B .)15(5+C .)25(10-D .)53(5-5. 若关于x 的不等式组3132>1x a x -⎧⎨--⎩≥有且只有3个整数解,则a 的取值范围是( ) A .-2<a ≤-1B .-2≤a <-1C .-7<a ≤-4D .-7≤a <-46. 已知53=y x ,则以下式子:①14x y x y -=+;②1315x y +=+;③3213x x y =+;④38=+x y x 中,正确的个数为( ) A .1个 B .2个 C .3个D .4个7. 如图,能保证使△ACD 与△ABC 相似的条件是( ) A .AC :CD =AB :BC B .CD :AD =BC :AC C .AC 2=AD ·ABD .CD 2=AD ·DB8. 如图,在正三角形ABC 中,D ,E ,F 分别是BC ,AC ,AB 上的点,DE AC ⊥,EF AB ⊥,FD BC ⊥,则DEF △的面积与ABC△CBDA FEA的面积之比等于( ) A .1:3B .2:3C:2D:3二、填空题(每小题3分,共21分) 9.有意义的实数a 的取值范围是_________.10. 已知a ,b 为常数,若不等式ax +b >0的解集是13x <-,则bx -a <0的解集为______.11. 两个同学将同一个二次三项式分解因式,甲因看错了一次项系数而分解成(x +1)(x +5),乙因看错了常数项而分解成(x -2)(x -4),则将原多项式分解因式后的正确结果应该是________________.12. 若b <a <0,a 2+b 2=3ab ,则a ba b+-的值为________.13. 如图,直线y =kx +b 经过A (2,1),B (-1,-2)两点,则不等式-2≤kx +b <x 21的解集为________________.14. 正方形ABCD 的边长为1,P 是CD 边上的三等分点,点Q 在线段BC 上(不与点B ,C 重合),当CQ =________________时,△ADP 与△QCP 相似.15. 如图,在ABC △与AEF △中,AB AE BC EF B E AB==∠=∠,,,交EF 于点D .给出下列结论:①AFC C ∠=∠;②DF CF =; ③△ADE ∽△FDB ;④BFD CAF ∠=∠.其中正确的结论是 (填写所有正确结论的序号).三、解答题(本大题8个小题,共75分)16. (8分)阅读某同学解分式方程的具体过程,回答后面的问题.解方程:213xx x +=-.解:原方程可化为:222222(3)(3)263236x x x x x x x x x x x x -+=--+=--+-=①②③∴x =-6④ 检验:把x =-6代入原方程,成立∴6x =-是原方程的解⑤请回答:(1)第①步变形的依据是____________________;(2)从第____步开始出现了错误,这一步错误的原因是E FDCB A__________________________;(3)原方程的解为____________________________.17.(8分)先化简:221221x x x xx x x x-⎛⎫-÷⎪---+⎝⎭,再从-1≤x≤3中选取一个合适的整数x代入求值.18.(9分)如图,在平面直角坐标系中,直线l:y=43-x+4分别交x轴、y轴于点A,B,将△AOB绕点O顺时针旋转90°后得到△A OB''.(1)求直线A B''的解析式;(2)若直线A B''与直线l相交于点C,求△A BC'的面积.19.(9分)在△ABC中,延长BC到D,使BC=2CD,取AB的中点F,连接FD交AC于点E.求AEAC的值.ACEDF20.(9分)如图,在平面直角坐标系中,矩形ABCO的边OA在x轴上,边OC在y轴上,点B的坐标为(1,3),将矩形沿对角线AC翻折,点B落在点D 的位置,且AD交y轴于点E,求点D的坐标.21.(10分)某电器城经销A型号彩电,今年四月份与去年同期相比,卖出彩电的数量相同,但去年销售额为5万元,今年销售额为4万元.已知去年每台彩电的售价比今年多500元.(1)问去年四月份每台A型号彩电售价是多少元?(2)为了改善经营,电器城决定再经销B型号彩电,已知A型号彩电每台进货价为1 800元,B型号彩电每台进货价为1 500元,电器城预计用不多于3.3万元且不少于3.2万元的资金购进这两种彩电共20台,问有哪几种进货方案?(3)在(2)的条件下,电器城准备把A型号彩电继续以原价出售,B型号彩电以每台1 800元的价格出售,在这批彩电全部卖出的前提下,如何进货才能使电器城获利最大?最大利润是多少?22.(11分)(1)问题背景:如图1,Rt△ABC中,∠BAC=90°,AB=AC,∠ABC的平分线交直线AC于点D,过点C作CE⊥BD,交直线BD于点E.请探究线段BD与CE的数量关系.(事实上,我们可以延长CE与直线BA相交,通过三角形全等的知识来解决问题.)结论:线段BD 与CE 的数量关系是__________(请直接写出结论). (2)类比探索:在(1)中,如果把BD 改为∠ABC 的外角∠ABF 的平分线,其他条件均不变(如图2),(1)中的结论还成立吗?若成立,请写出证明过程;若不成立,请说明理由. (3)拓展延伸:在(2)中,如果AB ≠AC ,且AB =nAC (0<n <1),其他条件均不变(如图3),请你直接写出BD 与CE 的数量关系(用含n 的代数式表示).DE C BAFABCDF BAD图1 图2 图3 23. (11分)在梯形ABCD 中,AD ∥BC ,AD =3,DC =5,AB=,∠B =45°.动点P 从C 点出发沿CD 以每秒1个单位的速度向终点D 运动,动点Q 从B 点出发沿BC 以每秒1个单位的速度向终点C 运动.两点同时出发,当P 点到达D 点时,点Q 随之停止运动.设运动时间为t (秒). (1)梯形ABCD 的面积为 ; (2)当PQ ∥AB 时,t 的值为 ;(3)当P ,Q ,C 三点构成等腰三角形时,求t 的值.2013年新九年级暑假入学测试卷答案一、选择题1—4:DCBC 5—8:CBCA二、填空题9.a ≥1且a ≠2 10.x >3 11.(x -1)(x -5)12. 13.-1≤x <2 14.12或2915.①③④ 三、解答题16.(1)等式的基本性质………………………………………………2分 (2)③;移项未变号…………………………………………………6分(3)56=x ………………………………………………………………8分2222(2)(1)(1)17.(1)(2)(1)(2)(1)2(1)(1)(2)(1)(2)12x x x x x x x x x x x x x x x x x x x x x x x x ⎡⎤---=-÷⎢⎥-----⎣⎦--+-=⋅----=-=--解:原式……第一步2′,结果5′∵x -1≠0,x -2≠0,x ≠0,-1≤x ≤3且x 为整数 ∴x 只能取-1或3111213x =-=---=,当时原式13321x ==--=-,当时原式18.解:(1)∵直线443y x =-+分别交x 轴、y 轴于点A ,B∴A (3,0),B (0,4)由旋转的性质得:OA ′=OA ,OB ′=OB ∴A ′(0,-3),B ′(4,0) ∴直线A ′B ′的解析式为: 334y x =-(2)联立443334y xy x⎧=-+⎪⎪⎨⎪=-⎪⎩得:84251225xy⎧=⎪⎪⎨⎪=-⎪⎩∴8412 ()2525 C-,∵A′B=7∴184294722525S=⨯⨯=19.解:GACEDF如图,过C作CG∥BF交DF于点G ∵CG∥BF∴∠GCD=∠FBD∵∠D=∠D∴△DGC∽△DFB∴GC DCFB DB=∵BC=2CD∴BD=3CD∴FB=3GC∵CG∥AB∴∠A=∠GCE∵∠AEF=∠CEG∴△AEF∽△CEG∴AE AFCE CG=∵AF=BF∴3AE BFCE CG==∴34AEAC=20.解:过点D作y轴的平行线交BC的延长线于点G,交x轴于点F ∵四边形OABC是矩形∴四边形BGFA是矩形∴∠G=∠DFA=90°,BG=AF,FG=AB∵B(1,3)∴CB=1,AB=3,∵四边形ABCO是矩形∴∠B=90°∴由轴对称性质可得DC=BC=1,DA=BA=3,∠CDA=90°∴∠GDC+∠ADF=90°∵∠G=90°∴∠GDC+∠GCD=90°∴∠GCD=∠FDA∴△GDC∽△FAD∴13 GC GD CD FD FA DA===设GC=a,则AF=BG=BC+CG=1+a∴FD=3a,DG=1 3 a+∴FG=FD+DG=1013a+∵FG=AB∴1013a+=3即a=4 5∴FD =125∴D (45-,125)21.解:(1)设去年四月份每台A 型号彩电售价是x 元,则今年每台A 型号彩电售价是(x -500)元,由题意得: 5000040000500x x =- ∴x =2 500经检验x =2 500原方程的解,且符合题意 ∴ 去年四月份每台A 型号彩电售价是2 500元;(2)设A 型号彩电购进y 台,则B 型号彩电购进(20-y )台,则18001500(20)3200018001500(20)33000y y y y +-⎧⎨+-⎩≥≤ ∴203≤y ≤10, ∵y 为整数∴y =7,8,9,10,共有四种进货方案:A 型号彩电购进7台,B 型号彩电购进13台,A 型号彩电购进8台,B 型号彩电购进12台, A 型号彩电购进9台,B 型号彩电购进11台, A 型号彩电购进10台,B 型号彩电购进10台;(3)设利润为w ,则w =(2 000-1 800)y +(1 800-1 500)(20-y )=-100y +6 000,∵-100<0,∴w 随y 的增大而减小∴当x =7时,利润最大,最大利润w =-100×7+6000=5300元.即A 型号彩电购进7台,B 型号彩电购进13台,电器城获利最大,最大利润为5 300元.22.(1)BD =2CE ;………………………………………………………………2分 (2)结论BD =2CE 仍然成立.……………………………………3分 证明:延长CE ,交AB 的延长线于点G . ∵∠1=∠2,∠1=∠3,∠2=∠4, ∴∠3=∠4.又∵∠CEB =∠GEB =90°,BE =BE . ∴△CBE ≌△GBE. ∴CE =GE ,∴CG=2CE………………………………………………6分∵∠D+∠DCG=∠G+∠DCG=90°∴∠D=∠G∵AB=AC,∠DAB=∠GAC∴△DAB≌△GAC∴BD=CG=2CE………………………………………………………………9分(3)2n.…………………………………………………………………………11分23.(1)26;(2)256;(3)能成为等腰三角形,50511t 或.。
1、(2011江苏无锡,8,3分)100名学生进行20秒钟跳绳测试,测试成绩统计如下表:跳绳个数x 20<x ≤30 30<x ≤40 40<x ≤50 50<x ≤60 60<x ≤70 x > 70 人数5213312326则这次测试成绩的中位数m 满足 ( )A .40 < m ≤ 50B .50 < m ≤ 60C .60 < m ≤ 70D .x > 702、(2011湖北武汉市,11,3分)为广泛开展阳光健身活动,2011年红星中学投入维修场地、安装设施、购置器材及其它项目的资金共38万元.图1、图2分别反映的是2011年投入资金分配和2008年以来购置器材投入资金的年增长率的具体数据.根据以上信息,下列判断:①在2011年总投入中购置器材的资金最多;②2009年购置器材投入资金比2011年购置器材投入资金多8%;③若2011年购置器材投入资金的年增长率与2011年购置器材投入资金的年增长率相同,则2011年购置器材的投入是38×38%×(1+32%)万元. 其中正确判断的个数是 A .0. B .1. C .2. D .3.3、(2011广东茂名,10,3分)如图,正方形ABCD 内接于⊙O ,⊙O 的直径为2分米,若在这个圆面上随意抛一粒豆子,则豆子落在正方形ABCD 内的概率是 A .π2 B .2π C .π21D .π24、(2011四川重庆,15,4分)有四张正面分别标有数字-3,0,1,5的不透明卡片,它们除数字不同外其余相同.现将它们背面朝上,洗匀后从中任取一张,将该卡片上的数字记为a ,则使关于x 的分式方程1-axx -2+2= 12-x有正整数解的概率为 . 5、(2011浙江衢州,14,4分)下列材料来自2006年5月衢州市有关媒体的真实报道:有关部门进行民众安全感满意度调查,方法是:在全市内采用等距抽样,抽取32个小区,共960户,每户抽一名年满16周岁并能清楚表达意见的人,同时,对比前一年的调查结果,得到统计图如下其他10%安装设施28% 24% 维修场地购置器材2011年投入资金分配统计表 40% 32% 20%购置器材投入资金 年增长率2008年以来购置器材投入资金年统计图2008 2009 2011 2011人民群众安全感满意度选项统计图(单位:%)16.130.328.30.40.121.247.430.50.80.11020304050很安全安全基本安全不安全很不安全2004年2005年写出2005年民众安全感满意度的众数选项是_____;该统计图表存在一个明显的错误是________________________.6、(2011浙江省,20,8分)据媒体报道:某市四月份空气质量优良,高举全国榜首,青春中学九年级课外兴趣小组据此提出了“今年究竟能有多少天空气质量达到优良”的问题,他们高举国家环保总局所公布的空气质量级别表(见表1)以及市环保监测站提供的资料,从中随机抽取了今年1-4月份中30天空气综合污染指数,统计数据如下:表I :空气质量级别表空气污染 指数0~50 51~100101~150151~200201~250251~300大于300空气质量级别Ⅰ级(优) Ⅱ级(良) Ⅲ1(轻微污染)Ⅲ2(轻度污染)Ⅳ1(中度污染)Ⅳ2(中度重污染) Ⅴ(重度污染)空气综合污染指数30,32,40,42,45,45,77,83,85,87,90,113,127,153,167 38,45,48,53,57,64,66,77,92,98,130,184,201,235,243请根据空气质量级别表和抽查的空气综合污染指数,解答以下问题: (1) 填写频率分布表中未完成的空格; 分组 频数统计频数 频率 0~50 51~10012 101~150 151~200 3 201~250 3 合计30 30(2) 写出统计数据中的中位数、众数;(3)请根据抽样数据,估计该市今年(按360天计算)空气质量是优良(包括Ⅰ、Ⅱ级)的天数.7、(2011江苏无锡,23,8分)(本题满分8分)某区共有甲、乙、丙三所高中,所有高二学生参加了一次数学测试。
名师辅导中心20XX年暑期新初三英语试卷(精品)Paper One Vocabulary and GrammarV. Choose the best answer.1. This present is for ____, and that present is _____.A. him…myB. his…myC. him…mineD. his…mine2. March is the third month of the year. It comes______February and April.A. aboutB. beforeC. duringD. between3. It was a(n)______game! Our class won, 56:55. We sang happily after the game wasover.A. excitingB.dangerousC. fashionableD.embarrassing4.With the mails and telephones,______has become easier, and the world is getting smaller.A. experienceB. differencemunicationD.software5. I had some bread _____rice and vegetables ____dinner last night.A. instead …forB. instead of …atC. instead…withD. instead of …for6. Parents prefer to send their kids to this kindergarten because the teachers and nurses here ______them very well.A. look atB. look forC. look likeD. look after7. Oxford English made us students ______ more fluently than the Compulsory English book.A. spoke b. to spoke C. speak D. speaking8. I’d like to invite you _______my house-warming party next Sunday, would you like _____?A. to…comingB. for…to comeC. to…comeD. to…to come9. You will feel tired tomorrow______ you go to bed early.A. ifB. soC. unlessD. but10. Aug. 17, 2006 was Bill Clinton’s ______, he felt very sad because he became old.A. the sixtieth birthdayB. sixty years oldC. sixtieth birthdayD. sixty birthdays11. A really hard time now! it takes me almost 3 hours ________my homework after school every day.A. doB. to doC. doingD. to doing12. Soccer is a kind of______sport. That means you cannot play it by yourself.A.teamB. popularC. funnyD. boring13. Christine: Dad, I’m hungry. Do we have anything to eat?Mr. Chen: You can have some bread I ______ from the supermarket. It’s on the table.A. am buyingB.to buyC. boughtD.will buy14. Suan: Oh, no! The door and the window______!Victor: Who could have done this?Suan: Go in quickly and see if we've lost anything.A. are breakingB.have brokenC.were brokenD.will break15. Mark: I've got a lot of exercise these days, but still can't lose weight. Doris:Exercise is not enough. You should also ______. Eating the right foods is very important for weight control.A.quit eatingB.start an exercise classC.take some medicineD.go on a diet16. My husband______send me flowers every week before we got married. But now he never does.A.shoulded toC.was going toD.was afraid to17. Eva: What's your ideal mate like?Ada: Well, I want a husband who______ well. I enjoy eating, but I hate kitchens.A.cookB.cooksC.cookingD.to cook18. ______fun it is to read Harry Porter in my study.A. HowB. How aC. WhatD. What a19. Tom, could you tell me __________?A. where is the post officeB. what you doC. why is Steven angry with youD. whatthe matter was20.Miss Brown didn’t know ______.A. when would she go travelingB. what was wrong with her computerC. who is the old manD. where was the nearest hospital21.Mr Green is busy _______ the newspaper while his wife is busy ________ the housework.A. reading, withB. to read, withC. to read, doingD. with, to do22. I want to have a day _________ tomorrow because I have to meet my uncle at the airport.A. awayB. offC. freeD. possible23. . When he got to the station, he ______ that the train ______ .A. told, had leftB. was told, had leftC. told, would leaveD. was told, left24. How _____ he was ______ his family after a long absence!A. happy, to seeB. happily, seenC. happily, to seeD. happily, saw25. Dr Bethune had done everything he could ______ the wounded soldier’s life.A. saveB. savingC. to saveD. for saving26. “Tom, ______ afraid of speaking in public. You are no longer a small boy,”said Mum.A. not beB. not to beC. be notD. don’t be27. We are very sad and angry to hear that the bad milk powder (劣质奶粉) ______the deaths of over 30 babies.A. madeB. didC. broughtD. caused28. His little sister likes watching cartoons very much and she has learned_______ from them.A. littleB. muchC. manyD. a lot of29. All the story books on this desk belong to______ .A. Peter and IB. I and PeterC. you and meD. they and me30.The little child has been used to______ at home alone when his parents are out.A. stayB. stayedC. stayingD. be staying31. Bob is seen______ in the park every morning.A. walkB. walksC. to be walkingD. to walk32. John will sell______ his stamps to help the poor children in the west of China.A. hundredsB. one hundred ofC. one hundredD. quite a few33.______ that pair of sports______ very cheap?A. Is . . . . shoeB. Are . . . . shoeC. Is . . . . shoesD. Are . . . . shoes34. Sue as well as her parents______ supper at home yesterday when the telephone ______.A. was having, rangB. were having, rangC. were having, was ringingD. had, was ringing35. If you open the door, you will find the ground______ with deep snow.A. be coveredB. coveredC. coveringD. cover36. It snowed so heavily that many cyclists slipped and fell______ their bicycles.A. offB. off fromC. fromD. down37. Though I was quite tired, ______ I wanted to do some writing.A. andB. yetC. butD. so that38 I don’t feel well. I must have my temperature ______.A. takeB. takenC. to be takenD. taking39. At last, what he said turned _______to be true..A. onB. inC. offD. out40. Mrs White has ______ that she is not able to get a job.A. so little educationB. such little educationC. so a little educationD. such a little education41. The People’s Republic of China was founded in _____ .A. year 1949B. year in 1949C. the year 1949D. the year in 194942. She has been sick ______ the night of last Sunday.A. onB. atC. sinceD. during43. The old man ______ of cancer which is a ______illness.A. died, deadB. dead, deadC. died, deadlyD. was dead, deadly44. Dr Smith lives ______ 51 ______ .A. at, the Fifth AvenueB. at, Fifth AvenueC. on, the Fifth AvenueD. in, Fifth Avenue45. Could you tell me when the First Olympic Games_______?A. would take placeB. had taken placeC. were taken placeD. took placeII. Complete the sentences with the given words in their proper forms.46. YaoMing has become one of the most famous basketball _____in the world. (play)47. Don’t cry, we are certain of your ________. (honest)48. As we all know, ______is more important than money. (friend)49. As the 2010 Expo comes, the government has decided to _____most of the narrow streets in Shanghai these years. (wide)50.I think a good teacher should _______his or her students even though they haven’t done well. (courage)51. It’s really a great ______to talk to you about the movie, we share so much opinion in common. (please)52. If you go to swim in the river, be sure about your own ______. (safe)53.An Inconvenient _______ has won the best documentary feature in the 79th Oscar. (true)54. Shanghai is one of the largest __________ centers in the world. (busy)55.The museum will be _________ after the fire. (build)56. I remember this word first appeared in the _________ lesson. (nine)57.This bag may be that ___________ (drive)58.Take some ________ and you will feel better soon. (medical)III. Choose the word or expression which is closest in meaning to the underlined59. Shall I write down my full name or just initials?60. There are always plenty of tourists in this scenic area and you should arrangeto rent a hotel room here weeks before.61. The dying man is saying something to his wife and son, but his words are inaudible.62. The newspaper reporters went over to the president as soon as he appeared.63. Lily’s mum was pleased to see her progress in her school work.64. Wild animals should be returned to the wild.65. Will you attend the lectures given by Mr Thomas this afternoon?66. It’s more and more convenient for people to do shopping because many thingscan be delivered to their houses.IV. Rewrite the sentences as required.67. I hope to enter a key school. (保持句意不变)I hope that _______ ________ a key school.68. The pizza in that dish is delicious. (改为感叹句)________ delicious the pizza in that dish _______!69. If we don’t save energy, it will run out. (保持句意不变)We should _____energy, _______it will run out.70. Who made the first aeroplane?(改为被动语态)Who ________ the first aeroplane made ________?71. He told me that there was a terrible accident with a baby dead. (保持句意不变)I _______know there was a terrible accident with a baby dead _____he told me.Paper 2Reading and WritingV. Reading comprehension(A)Complete the following dialogue with proper sentences in the box.Peter: Hi, Linda! Where are you going?Linda: I am going to the airport.Peter: Wow, you are taking many things with you. Let me give you a hand.Linda: __________72________Peter: For what will you go there? For your summer holiday?Linda: Yes, I’m going to stay with my aunt and uncle there in August in Athens. Peter: Athens? The 2004 Olympic Games was held there in August?Linda: _____73___________ My uncle had taken me to watch some matches during the time.Peter: ________74_________Linda: About two months.Peter: You are lucky! By the way, are you going to do anything else?Linda: ________75________Peter: Could you do something for me, please?Linda: Of course. Tell me what.Peter: I am not interested in shopping, but could you take some photos of Athens for me? _________76________Linda: I am not sure. I’ll do my best. Here we are at the airport. It’s time to say goodbye. Thanks for helping me.Peter: You are welcome. _______77__________(B)George Washington was the first president in American history. Born on 22 February 1732, he learned to be an American gentleman. On April 30, 1789, George Washington became first President of the United States after a long civil. Eight years later, he retired. And another two years, he died peacefully in Mount Vernon, Virginia. John Kennedy Was the thirty-fifth president of America form 1961 to 1963. He was born on 29 May 1917 inMassachusettsand died on 22 November 1963. Kennedy was the youngest man elected President and he was also the youngest to die.George Bush is the second president whose son became president . At Yale university,he excelled both in sports and in his studies. He was the 41st president of America from 1989 to 1993. Coming from a family with a tradition of public service, George Bush felt the responsibility to make his contribution both in time of was and in peace.Bill Clinton was born on Aug. 19 1946 inArkansas. When he was young, he excelled as a saxophone-player and once considered becoming a professional musician. Clinton graduated from GeorgetownUniversity and in 1968 won a Rhodes Scholarship to OxfordUniversity. He received a law degree from YaleUniversity in 1973 and entered politics in Arkansas. He was the 42nd president from 1993 to 2001.True or False.78. George Washington died in 1799.79.George Washington and George Bush once studied in the sameuniversity—YaleUniversity.80.John Kennedy was the youngest man elected president.81.“Excel” probably means “be good at”.82.Bill Clinton was the youngest elected president in American history.83.George Washington and Bill Clinton both worked as president for 8 years.( C)Almost all people like flowers. Some people like flowers because of their smells. Shapes, colors and so on. Others like flowers because they think different flowers mean different things. Flowers have their own language. For example, red roses mean “love” and sunflowers mean “loyalty”(忠诚).So people in more than 100 countries have chosen their own national flowers whi ch say something about their countries’ spirit. In 1994, China talked about choosing a national flower. Some people liked the peony(牡丹)but others liked the plum blossom(梅花).They couldn’t agree with each other. So it has not been decided yet.People like to buy different flowers in different seasons. Where do all the beautiful flowers in shops come from? They may come from far away, so their price is higher.a.Farmers grow flowers in their fields.b.Planes or trains or buses take the flowers to different places.c.Flower shopkeepers buy flowers from the flower markets. They look at the flowers and throw away the broken or bad ones. They cut the flowers to make them more beautiful.d.You go to buy the flowers in the shops. When you buy a flower, you’re payinglots of people: the farmer, the driver of the plane or train or bus,the seller in the flower market and the flower shopkeeper.So you’d better keep your flowers from far away for a long time.But how? Why not dry them? It’s easy! Sand drying is a way. Dry,clean sand is one of the oldest things for drying flowers. And it’s one of the cheapest.·Fill a box half-way with sand.·Put the flowers on top of the sand.·Put the box in a warm, dry place.·Leave the flowers there for one to three weeks.·Take them out and they will be dry.84.The underlined words “national flowers” most probably means .A.the flowers of the country B.the flowers of the seasonC.the most beautiful flowers D.the strongest flowers85.People usually choose their own “national flower” ac cording to(根据)the flower’s .A.smell B.shapeC.color D.meaning86.The Chinese national flower has not been decided yet, because.A.no flower can show China’s spiritB.China hasn’t talked about choosing oneC.nobody agrees to choose the national flowerD.people can’t agree to choose the same flower87.You’d better keep your flowers for a long time, because.A.the flowers are easy to dry B.the farmer will also ask you to pay C.the flowers are expensive to buyD.the shopkeeper has made them more beautiful 88.Sand drying is everything here in the following but .A.easy B.cleanC.old D.cheap89. When you buy a flower, you’re paying lots of people, who isn’t mentioned inthe passage?A. the farmerB. bus, taxi driverC. the flower shopkeeperD. the lover(D)A. Choose the words or expressions and complete the passage.As you grow bigger and stronger, are you growing in mental health as well? There is no human being __90__has no problems. But the way you handle them __91____whetheryou are growing in mental health.To be a person with mental health, you have to learn about yourself and about the world you live in. you have to learn how to get along __92___other people. You have to know how to make the most of your good points and how to accept you limitation. You too have to learn how to __93___disappointment.Learn to smile ____94____ people , like people and help people. Have confidence in your ability to do well and to ___95___problems well. Know also that other people may like to help you, and never lose the chance to make use of their help. All this___96____ you to grow in mental health.90. A. who B. he C. which D. one91. A. asks B. says C. shows D. gives92. A. together B. among C. in D. with93. A. remind B. find C. face D. remember94. A. for B. at C. with D. as95. A. solve B. work out C. deal D. decide96. A. allows B. makes C. lets D. helpsB. Read the passage and fill in the blanks with proper wordsPlaying computer games is fun. It has become very p_____97__. Young people like to do it in their f___98_____ time. Here are some important things you have to know when you play computer games.First, you should learn English well. If your English is good e____99_____, you can understand the computer games more c____100____. Then you will play the games better than your friends.Second, you should not buy illegal software. The fake c____101_____ are much cheaper, but they will easily hurt your computers.Third, you should not spend t__102_____ much time playing the games. That will make your eyes become weaker. T__103______a 10-minute rest after you play 50 minutes every time.Follow these things and you can be a happy computer game player.(E)Answer the following questions.Apr. 20 Dear Liz,My stay in Thailand has certainly been the experience of my life.Life is busy and crazy. Bangkok is just like any other big city with a population of 10 million and crowded traffic. I’m very lucky because my host family lives in a nice quiet area outside the city. There Mr and Mrs Phairat. Their son Sanan, who is 18, Chinda, the daughter, who is 16, and Grandpa and Grandma.Mr Phairat has a business and travels a lot. Mrs Phairat works in the business,too, and she can speak several languages.I go to an international school with Sanan and Chinda. The school teaches about 70 percent in English, and 30 percent in Thai.I’m picking up the spoken language, but Thai writing is very difficult. Cooking classes are my favorite. I’m learning all about Thai food and culture. People don’t use chopsticks here, but spoons and forks. When I come back, I’m going to cook you guys a real Thai meal.Last weekend we drove to Pattaya beach neat Bangkok. I thought it was great, but Sanan and Chinda say that next month they’re taking me to PhuketIsland, where the beaches are even more beautiful. During vacation, we’re going to travel to the north of Thailand. The Phairats own land there, and they have tow elephants. The mahouts(handlers) use the animals to pull trees. I’m going to ride those elephants---and even wash them. Sanan and Chinda say it’s really fun.I’m interested in everything in the country, but especially by the elephants. Elephants are important part of Thai culture and way of life. They have been a traditional symbol of Thailand for many years in times of war and peace. In the seventeenth century, a Thai king trained 20,000 elephants for battle.I’ll tell you all about my Thai boxing lessons next time I write.LoveMandyAnswer the questions.104. In what area is Mandy staying in Bangkok?105. What does Mr Phairat do?106. What does Mandy enjoy most at her school?107. Where are Sanan and Chinda taking her next month?108. Whatattracts Mandy most in Thailand?109. What is Mandy going to write about next time?VI. Writing110.Write a short passage about “Love is everywhere”(at least 60 words)Keys for reference:I. 1. C 2. D 3. A 4. C 5. D 6. D 7. C 8. D 9. C 10. C11. B 12. B 13. C 14. C 15. D 16. B 17. B 18. C 19. B 20. B21.A 22. B 23. B 24. A 25. C 26. D 27. D 28. B 29. C 30 C31. D 32. B 33. C 34. A 35. B .36. A 37. B 38. B 39 .D 40 A41. C 42. C 43. C 44. B 45. DII. 46. players 47. honesty 48. friendship 49. widen 50. encourage51. pleasure 52. safety 53 Truth 54. business 55. rebuilt56. ninth 57. driver’s 58. medicineIII. 59. I 60. G 61. A 62. H 63. C 64. D 65. E 66. FIV. 67. I’ll enter 68. How, is 69. save, or 70. was, by 71. didn’t, untilPaper 2V. A. 72. D 73. A 74. F 75. C 76. B 77.GB. 78. F 79. F 80. T 81. T 82. F 83. TC. 84. A 85. D 86. D 87. C 88. B 89. DD. (A) 90. A 91. C 92. D 93. C 94. B 95. A 96. D(B) 97. popular 98. free 99. enough 100. clearly 101. copies 102.too 103. takeE.104. In a nice quiet area outside the city.105. He’s a businessman.106. Cooking lessons.107. PhuketIsland.108. Elephants.109. Her Thai boxing lessons.名师辅导中心20XX年暑期新初三英语答题纸准考证姓名成绩________I.Multiple choice(45)1._________2. ________3. __________4. ____________5. ____________6. __________7. ________8. __________9. ____________ 10.____________ 11. _________ 12. _______ 13. _________ 14. ___________ 15. ____________ 16. _________ 17. _______ 18. _________ 19. __________ 20._____________ 21.__________ 22. _______ 23. _________ 24.___________ 25. ___________26. _________ 27. ________ 28. _________ 29. __________ 30 .___________ 31. _________ 32.________ 33. _________ 34. __________ 35. ___________36. __________ 37. ________ 38. __________ 39. ________ 40.____________ 41. __________ 42. __________ 43. ________ 44._________ 45. ___________II.(13)46. __________ 47. ______________ 48. ____________ 49. ___________50. ____________51.____________ 52.______________ 53. ____________54. ___________ 55. _____________56. ___________ 57. _____________58. ______________III.(8)59. ___________ 60.__________ 61. __________ 62. __________ 63___________ 64. __________ 65. ___________ 66.__________IV.(10)67. ___________ ____________68.___________ ____________69.__________ ____________70._________ _____________71.___________ _____________V. (58)A. 72. _________ 73. _________ 74. __________ 75. __________ 76. _________77. _________B. 78__________ 79._________ 80 .____________ 81. _________ 82. _________83. ________C. 84. _________ 85. _________ 86. ___________ 87. __________ 88. _________89. ________D. A) 90. __________ 91. ___________ 92. __________ 93. __________ 94. ________95.___________ 96.__________B) 97. ________________ 98._______________ 99._____________ 100._________101._______________ 102.______________ 103._____________E. 104. ________________________________105. _______________________________106. __________________________________107. _________________________________108.___________________________________109___________________________________VI. Writing.(16)__________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________。
初三数学暑假班入学测试题1.方程组 ()()2226x -5xy+y =0 1y=x +6x+4 2⎧⎪⎨⎪⎩的解的个数( ) A.4 B.3 C.2 D.1 2.方程组ax+by=4bx+ay=5⎧⎨⎩的解是x=2y=1⎧⎨⎩ ,则a+b=A.1B. 3C.5D.-33.若方程组 ()()2y=mx+2 1y +4x+1=2y 2⎧⎪⎨⎪⎩没有实数解,则实数m 的取值范围是( )A.m>1B.m<-1C.m<1且m ≠0D.m>-1且m ≠04、△ABC 中,∠C=90°,AC=BC ,AD 是∠BAC 的平分线,DE ⊥AB 垂足为E ,若AB=10cm , 则△DBE 的周长为( )A 、10 cmB 、8cmC 、12 cmD 、9cm5、如图,D 在AB 上,E 在AC 上,且∠B=∠C ,那么补充下列一个条件后,仍无法判断 △ABE ≌△ACD 的是( )A 、AD=AEB 、∠AEB=∠ADC C 、BE=CD D 、AB=AC6. 方程组⎩⎨⎧=-++=+03202y x x y x 解的情况是( )ACBEDA 、有两组相同的实数解B 、有两组不同的实数解C 、没有实数解D 、不能确定7. 方程组⎪⎩⎪⎨⎧==+86xy y x 的解是 ( )A.⎩⎨⎧==4,2y xB. ⎩⎨⎧==2,4y x C. ⎩⎨⎧==;2,211y x D. ⎩⎨⎧==⎩⎨⎧==.4,16;16,42211y x y x 8. 下列判断错误的是 ( )A 、方程15-=+x x 没有负数根B 、方程22+=+x x x 的解的个数为2C 、方程x x -=+39没有正数根D 、方程04)3)(2(2=-+-x x x 的解为3,221==x x 9. 在给定的条件中,能画出平行四边形的是( )A 、以60cm 为一条对角线,20cm 、34cm 为两条邻边B 、以6cm 、10cm 为两条对角线,8cm 为一边C 、以20cm 、36cm 为两条对角线,22cm 为一边D 、以6cm 为一条对角线,3cm 、10cm 为两条邻边10. 正方形具有而菱形不一定具有性质的是( )A 、对角线互相平分B 、对角线相等C 、对角线平分一组对角D 、对角线互相垂直11. 用两个完全相同的直角三角板,不能..拼成如下图形的是( ) A 、平行四边形 B 、矩形 C 、等腰三角形 D 、梯形 12.如图,把矩形纸片ABCD 纸沿对角线折叠,设重叠部分为△EBD ,那么,下列说法不正确的是( ) A .△EBD 是等腰三角形,EB =ED ; B .折叠后∠ABE 和∠CBD 一定相等;C .折叠后得到的图形是轴对称图形;D .△EBA 和△EDC 一定是全等三角形.13. 顺次连结任意四边形四边中点所得的四边形一定是( ) A 、平行四边形 B 、矩形 C 、菱形 D 、正方形5EAB CD第12题图14. 如图,平行四边形ABCD 中,∠A 的平分线AE 交 CD 于E , AB=5,BC=3,则EC 的长( )A 、1B 、1.5C 、2D 、315. 如图,在周长为20cm 的□ABCD 中,AB ≠AD ,AC 、BD 相交 于点O ,OE ⊥BD 交AD 于E ,则△ABE 的周长为( ) (A)4cm (B)6cm(C)8cm (D)10cm16. 如图所示,梯形ABCD 中,AD ∥BC ,M 为AB 的中点,ME ⊥CD 于E ,AD =5cm ,AB =13cm ,BC =19cm ,CD =15cm ,则ME 的长为( )A .20cmB .25cmC .1013cmD .485cm 17. 下列命题正确的是( )A .对角线互相平分的四边形是菱形;B .对角线互相平分且相等的四边形是菱形C .对角线互相垂直且相等的四边形是菱形;D .对角线互相垂直且平分的四边形是菱形.18. 向量()()OM BC BO MB AB ++++化简后的结果等于( )A. BCB. ABC. ACD. AM 19. 点C 在线段AB 上,且AB AC 53=,若BC m AC =,则m 的值等于( ) A.32 B. 23 C. 32- D. 23-20. 已知一个单位向量e ,设b a 、是非零向量,则下列等式中正确的是( ) A.a e a = B. b b e = C.e a a=1 D.=a a1b b1Keys:ABCD EA D BCM E ABCDOE1-5 DBBAD 6-10 BDBCB 11-15 DBACD 16-20 CDCDB。
2011年九年级第一次模拟考试数学试题参考答案及评分说明说明:1.各校在阅卷过程中,如考生还有其它正确解法,可参照评分标准按步骤酌情给分.2.坚持每题评阅到底的原则,当考生的解答在某一步出现错误,影响了后继部分时,如果该步以后的解答未改变这一题的内容和难度,可视影响的程度决定后面部分的给分,但不得超过后继部分应给分数的一半;如果这一步后面的解答有较严重的错误,就不给分.3.解答右端所注分数,表示正确做到这一步应得的累加分数.只给整数分数.一、选择题(每小题2分,共24分)二、填空题(每小题3分,共18分)13.-1/3;14.5; 15.1/3; 16.x=5,y=1; 17.4л;18.243三、解答题(共78分)19.解:去分母:方程两边都乘以x(x+3)得:x+3=5 x…………………………………………………………………………4分移项合并得:4x=3 ……………………………………………………………………5分系数化1得:x=3/4 ……………………………………………………………………6分经检验:x=3/4 是原方程的根,………………………………………………………7分所以原方程的根是x=3/4.………………………………………………………………8分20.解:(1)先将等腰Rt△ABC向上平移4个单位,再向右平移6个单位后,可使点A平移到点O的位置. ……………………………………………………………………………2分图(略)……………………………………………………………………………3分(2)∵△ABC是等腰直角三角形,∴∠BAC=45°………………………………………………………………………4分又∵⊙O的半径为2 ,∴S扇形=(45л×22)/360 …………………………………………………………5分 =1/2л……………………………………………………………………………6分(3)图(略)………………………………………………………………………………8分21.解:(1)“3点朝上”的频率为:1/10 ………………………………………………………1分“5点朝上”的频率为:1/3;………………………………………………………2分(2)小明的说法不正确,因为“5点朝上”的频率最大并不能说明“5点朝上”这一事件发生的概率最大,只有当试验的次数足够大时,该事件发生的频率稳定在事件发生的概率附近.小强的说法也不正确,因为事件发生具有随机性,故“6点朝上”的次数不一定是100次. …………………………………………………………………………………………6分(3)开始……………8分 ∴P=1/3…………………………………………………………………………………………9分22.解:(1)将A (1,4)代入函数k y x 中,k =4,所以y =4/x ………………………1分 (2)∵S △ABD =1/2BD ·AE =1/2m (4-n ) =4,……………………………………………2分 B (m ,n )在函数y =4/x 的图象上,所以mn =4, ………………………………3分 ∴m =3,n =4/3 , ………………………………………………………………………4分即:点B (3,4/3)………………………………………………………………………5分(3)设直线AB 的解析式为:y =kx +b∵直线AB 经过A (1,4),B (3,4/3)∴ ………………………………………………………………………6分 解得:k =-4/3,b =16/3……………………………………………………………………7分 ∴直线AB 的解析式为:y =-4/3x +13/6…………………………………………………8分(4)10/3 ……………………………………………………………………………………9分23.解:(1)路线1:l 12=AC 2=25+π2; ……………………………………………………………1分路线2:l 22=(AB +BC )2=49. ………………………………………………………2分 ∵l 12<l 22,∴l 1<l 2(填>或<), ………………………………………………………3分 ∴选择路线1较短. ………………………………………………………………………4分(2)l 12=AC 2=AB 2+ 2=h 2+(πr )2, …………………………………………………5分 l 22=(AB+BC )2=(h+2r )2, …………………………………………………………6分 l 12-l 22=h 2+(πr )2-(h +2r )2=r (π2r -4r -4h )=r [(π2-4)r -4h ];r 恒大于0,只需看后面的式子即可.……………………………………………………7分 当 时,l 12=l 22; 当r > 时,l 12>l 22; 当r < 时,l 12<l 22.……10分24.(1)同意. ………………………………………………………………………………1分 连接EF , …………………………………………………………………………………2分 ∵∠EGF =∠D =90°,EG =AE =ED ,EF =EF .∴Rt △EGF ≌Rt △EDF …………………………………………………………………3分 ∴GF =DF …………………………………………………………………………………4分 1 2 3 4 5 61 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 61 2 3 4 5 6 1 2 3 4 5 6 1 2 3 4 5 6 k +b =43k +b =4/3(2)由(1)知,GF =DF .设DF = x ,BC =y ,则有GF = x ,AD =y .∵DC =2DF ,∴CF =x ,DC = AB = BG =2x ,∴BF =BG +GF =3x . …………………………………………………………………………5分 在Rt △BCF 中,BC 2+CF 2=BF 2 ,即y 2+x 2=(3x )2 .…………………………………………6分.2AD y y AB x∴=∴== …………………………………………………………7分 (3)由(1)知,GF DF =.设DF x BC y ==,,则有.GF x AD y ==,DC n DF = ·,DC AB BG nx ∴===.(1)1CF n x BF BG GF n x ∴=-=+=+,(). …………………………………………8分 在Rt BCF △中,222BC CF BF +=,即222[1][(1)]y n x n x +-=+(). …………9分AD y yAB nx n ∴=∴==⎝. ……………………………………………10分 25.解: (1)在△ACD 是中,∵∠OAC =60°,OC =CA ,∴△ACO 是等边三角形, ……………………………………………………………1分 ∴∠AOC =60°, ……………………………………………………………………2分(2)∵CP 与⊙O 相切,OC 是半径,∴CP ⊥OC , …………………………………………………………………………3分 ∴∠P =90°-∠AOC =30°, ………………………………………………………4分 ∴PO =2CD =8, ……………………………………………………………………5分(3)由等积三角形的判定方法知,需先确定M 的运动位置,再求弧长,①当点M 运动到点C 关于直径AB 的对称点M 1时,连结AM 1,OM 1,易得S △M 1AO = S △CAO ,∠AOM 1=60°, ……………………6分 ∴弧AM 1=4/3л ……………………………………………………………………7分 ②当点M 运动到点C 关于圆心O 的对称点M 2时,连结AM 2,OM 2,易得S △M 2AO = S △CAO ,∠AOM 2=120°, …………………8分 ∴弧AM 2=8/3л ………………………………………………………………………9分 ③当点M 运动到点C 关于直径AB 的对称点M 13时,连结AM 3,OM 3,易得S △M 3AO = S △CAO ,∠BOM 3=60°, ……………………10分 ∴弧AM 2M 3=16/3л …………………………………………………………………11分 所以,动点M 经过的弧长为:4/3л,8/3л,16/3л. ……………………………………12分26.解:(1)∵y =ax 2+x +c 的图象经过A (-2,0),C (0,3).∴c =3,a =-1/4∴所求解析式为:y =-1/4x 2+x +3 …………………………………………1分(2)(6,0) …………………………………………………………………………2分(3)在Rt △AOC 中,∵AO =2,OC =3∴AC=根号13 ………………………………………………………………………………3分① 当P1A=AC时(P1在x轴的负半轴),P1(-2-根号13);…………………4分②当P2A=AC时(P2在x轴的正半轴),P2(根号13-2);……………………5分③当P3C=AC时(P3在x轴的正半轴),P3(2,0);……………………………6分④当P4C=P4A时(P4在x轴的正半轴),在Rt△P4OC中,设P4O=x,则(x+2)2=x2+32解得:x=5/4∴P4(5/4,0);………………………………………………………………………7分(4) 如图,设Q点坐标为(x,y) ,因为点Q在y=-1/4x2+x+3 上,即:Q点坐标为(x,-1/4x2+x+3)…………………………………………………8分连接OQ,S四边形ABQC= S△AOC+ S△OQC+ S△OBQ=3+3/2x+3(-1/4x2+x+3)=-3/4x2+3/2x+12…………………………∵a<0,∴S四边形ABQC最大值=75/4,……………………11分Q点坐标为(3,15/4)…………………………12分。
新初三暑期入学测试:总分值:120 得分:第I卷〔75分〕一、单项选择〔25分〕1. The meat smells now. Please throw it away.A. goodB. niceC. badD. badly2. --- Why do you like this story"--- Because it is so moving that it makes me .A. cryB. cryingC. to cryD. cries3. I don't know Mike will e to see me tomorrow.A. thatB. whenC. ifD. what4. --- Can you tell me "--- Yes. She came here on foot.A. where Kate came fromB. how Kate came hereC. when Kate es hereD. why Kate didn't e here5. --- Do you know the man with sunglasses is"--- I'm not sure. Maybe a reporter.A. whoB. whatC. whereD. how6. I hear Tom lives here, but I'm not sure .A. which room he lives inB. which room does he live inC. he lives in which roomD. in which room does he live7. If you are overweight, you should avoid cakes and cookies.A. eatingB. eatC. eatsD. eated8. Please move these books away. They too much room.A. take upB. tidy upC. take offD. hurry up9. My father works very . He has a rest on weekends.A. hard; hardlyB. hardly; hardC. hard; hardD. hardly; hardly10. You can't always others. You should try to do it by yourself.A. learn fromB. decide onC. depend onD. agree with11. Thank you forme with my English.A. helpB. helpingC. to helpD. helps12. We are so e*cited aboutthe football match.A. winningB. to winC. winD. to winning13. —do you feel after a long walk"—A bit tired.A. WhatB. HowC. How aboutD. What about14. I’m afraid ofher this matter.A. tellB. to tellC. tellingD. told15. The girl in redtable tennis.A. is good forB. does well atC. is bad forD. is good at16. That storybeautiful, and I am interested in it.A. soundsB. listensC. tastesD. hears17. —Mum, is thereto eat, please" I’m hungry.—There’s some bread.A. anything otherB. anything elseC. other anythingD. else anything18. All the students went to the cinema. Butof them has e back.A. allB. neitherC. noneD. no one19. —Do you know who is the first woman to fly"—Valentina Vladimirovna Tereshkova from Russia.A. in spaceB. in the spaceC. from spaceD. at space20. The old man lives. And he sometimes feels.A. lonely; aloneB. alone; lonelyC. lonely; lonelyD. alone; alone21. —Can you cook supper for yourself, Andy"—Certainly. I’mto look after myself.A. enough oldB. too oldC. so oldD. old enough22. There may bestars in the Milky Way.A. billionsB. billionC. billion ofD. billions of23. Mary said shereading a book to watching TV.A. likesB. likedC. prefersD. preferred24. We have tothe things before we go out of the supermarket.A. pay forB. spendC. costD. take25. seems that Tony has been to many countries.A. ItB. ThisC. ThatD. He二、完形填空〔10分〕Time is very important to us. When and by whom were the watches or clocks 1 " Perhaps nobody knows. How could we tell time if there wereno watches or clocks anywhere in the world"The 2 was probably the world's first "clock", e*cept in thefar north, where the Eskimos live. There, it's dark most of the winter, and 3 most of the summer. But 44 most of the world, people have usedthe sun for day. 5 you don't have a clock that shows time, you still know that when the sun shines, it's day, and when it's dark, it's night. The sun can not only tell you whether it's day or night but also it's morning, noon, or afternoon. When the sun is almost directly overhead, it's 6 .People who live near the sea know time from the tides(潮汐). In the daytime, for about si* hours, the water rises 7 on the beach. The same thing 8 again at night. There are two high tides and two 9 tides every 24 hours.In some places in the world the wind es up at about the same time every day or changes direction or stops 10 . In these places the windcan be the clock.1. A. discovered B. found C. invented D. made2. A. sun B. moon C. star D. planet3. A. wonderful B. large C. heavy D. light4. A. on B. around C. in D. of5. A. If B. When C. Although D. As6. A. morning B. noon C. afternoon D. evening7. A. high and high B. higher and highC. higher and higherD. high and higher8. A. takes place B. is taking placeC. is taken placeD. will take place9. A. wide B. narrow C. long D. low10. A. blows B. blowing C. blow D. to blow三、阅读理解。
新九年级暑期辅导检测试题(本卷满分120分,考试时间100分钟)一.选择题(共12小题,满分36分,每小题3分)1.下列方程一定是一元二次方程的是( ) A .3x 2+﹣1=0 B .5x 2﹣6y ﹣3=0C .ax 2﹣x+2=0D .3x 2﹣2x ﹣1=02.如图,在矩形ABCD 中,对角线AC 、BD 交于点O ,以下说法错误的是( ) A .∠ABC=90° B .AC=BD C .OA=OB D .OA=AD 3、-3x <-1的解集是( ) A 、x <31B 、x <-31C 、x >31D 、x >-31 4、下列从左到右的变形是分解因式的是( )A 、(x -4)(x +4)=x 2-16B 、x 2-y 2+2=(x +y )(x -y )+2C 、2ab +2ac =2a (b +c )D 、(x -1)(x -2)=(x -2)(x -1).5.关于x 的一元二次方程(m ﹣2)x 2+2x+1=0有实数根,则m 的取值范围是( ) A .m ≤3 B .m <3C .m <3且m ≠2D .m ≤3且m ≠26、四边形ABCD 中,AD ∥BC ,要判定四边形ABCD 是平行四边形, 还应满足( )A 、∠A +∠C =180°B 、∠B +∠D =180°C 、∠A +∠B =180°D 、∠A +∠D =180°7.若分式2926x x --的值为零,则x 的值为( ).A .3B .3或-3C .0D .-38.等腰三角形的底角为40°,则这个等腰三角形的顶角为( )A .40°B .80°C .100°D .100°或40° 9.用配方法将二次三项式a 2+ 4a +5变形,结果是( ).A.(a –2)2+1B.(a +2)2+1C.(a –2)2-1D.(a +2)2-1 10.一元二次方程x 2-x+2=0的根的情况是( ).A .有两个相等的实数根B .有两个不相等的实数根C .无实数根D .只有一个实数根 11、若分式方程5156-=+--x k x x (其中k 为常数)产生增根,则增根是 ( ) A.x=6 B.x=5 C.x=k D.无法确定12、直线1l :1y k x b =+与直线2l :2y k x =在同一平面直角坐标系中的图象如图5所示,则关于x 的不等式12k x b k x +>的解为 A 、x >-1 B 、x <-1 C 、x <-2D 、无法确定()图5二.填空题(共6小题,满分18分,每小题3分)13.如图,菱形ABCD 的边长为6,∠ABC=60°,则对角线AC 的长是 . 14、如果x<-2 ,则2)2(+x =_____ _; 15、分解因式:a 3b+2a 2b 2+a b 3= 。
九年级上册科学班2011暑期期末测试班级姓名得分考试时间:120分钟满分:150分本试卷中可能用到的相对原子质量:H—1 C—12 O一16 S一32 Cl—35.5 Zn—65 Ca—40 Na一23 K—39 Mg—24 Fe—56 Cu一64一、选择题(本大题共20小题。
每小题3分,共60分。
请选出每个小题中一个符合题意的选项,不选、多选、错选均不给分)1. 下列说法不正确的是()。
A.铵态氮肥一定不能与碱同时施用B.原子中质子数一定等于中子数C.PH>7的溶液一定是碱性物质D.酸溶液中一定含有氢离子2. 实验室中制备FeCl3有多种方法,其中不可行的是()。
A.2Fe+6HCl====2FeCl3+3H2↑B.Fe2O3+6HCl====2FeCl3+3H2OC.Fe(OH)3+3HCl====FeCl3+3H2OD.Fe2(SO4)3+3BaCl2====2FeCl3+3BaSO4↓3. 金属La的活动性比锌强,它的氧化物为La2O3,其对应的碱为La(OH)3,La(OH)3难溶于水,而LaCl3可溶于水。
下列各组中的物质难以直接反应而制得LaCl3的是()。
+HCl2O3+HCl(OH)3+HCl(OH)3+MgCl24. 甲、乙、丙、丁分别是HNO3、Ba(OH)2、Na2CO3、NaOH四种溶液中的一种。
已知乙和丙可以反应,乙和丁也可以反应,则下列说法正确的是()。
A.乙一定是HNO3B.丁一定是Na2CO3C.丙不可能是Ba(OH)2D.甲不可能是HNO35. 下列各组中的物质,能在溶液中大量共存的是()。
A.KNO3NaCl NaOHB.KOH Na2CO3HClC.KNO3NaOH FeCl3D.AgNO3BaCl2HNO36. 下列物质中,能跟硫酸发生中和反应的是A.Fe B.Ba(NO3)2C.Na2CO3D.NaOH7. 等质量的稀硫酸分别与足量的镁、铁、锌三种金属反应,下列图像能正确生产氢气质量与反应时间之间关系的是()。
初三开学考试试题及答案一、单项选择题(每题2分,共20分)1. 下列词语中加点字的读音完全相同的一项是()A. 琐屑懈惰卸货卸任B. 蹒跚姗姗来迟讪笑讪讪C. 锲而不舍镌刻镌骨铭心镌石D. 踌躇踟蹰踽踽独行踯躅2. 下列句子中没有语病的一项是()A. 通过这次活动,使我们开阔了眼界。
B. 他虽然学习成绩优异,但是从不骄傲自满。
C. 为了防止这类事故不再发生,我们必须采取有效措施。
D. 他不仅学习认真,而且成绩优异。
3. 下列句子中加点成语使用正确的一项是()A. 他虽然成绩优异,但总是妄自菲薄,不自信。
B. 他做事总是瞻前顾后,犹豫不决。
C. 他虽然学习成绩一般,但总是自命不凡,目空一切。
D. 他虽然成绩优异,但总是妄自尊大,目中无人。
4. 下列句子中加点词语使用正确的一项是()A. 他虽然学习刻苦,但总是事倍功半。
B. 他虽然学习刻苦,但总是事半功倍。
C. 他虽然学习刻苦,但总是事半功倍。
D. 他虽然学习刻苦,但总是事倍功半。
5. 下列句子中加点词语使用正确的一项是()A. 他虽然学习刻苦,但总是事倍功半。
C. 他虽然学习刻苦,但总是事半功倍。
D. 他虽然学习刻苦,但总是事倍功半。
6. 下列句子中加点词语使用正确的一项是()A. 他虽然学习刻苦,但总是事倍功半。
B. 他虽然学习刻苦,但总是事半功倍。
C. 他虽然学习刻苦,但总是事半功倍。
D. 他虽然学习刻苦,但总是事倍功半。
7. 下列句子中加点词语使用正确的一项是()A. 他虽然学习刻苦,但总是事倍功半。
B. 他虽然学习刻苦,但总是事半功倍。
C. 他虽然学习刻苦,但总是事半功倍。
D. 他虽然学习刻苦,但总是事倍功半。
8. 下列句子中加点词语使用正确的一项是()A. 他虽然学习刻苦,但总是事倍功半。
B. 他虽然学习刻苦,但总是事半功倍。
C. 他虽然学习刻苦,但总是事半功倍。
D. 他虽然学习刻苦,但总是事倍功半。
9. 下列句子中加点词语使用正确的一项是()A. 他虽然学习刻苦,但总是事倍功半。
九年级入学测试卷(满分100分,限时100分钟)一、填空题(每题3分,共24分)1、函数2-x 1-x y =中,自变量x 的取值范围2、()()20142013212-1+•=3、一次函数1x 2m y ++=)(,若y 随x 的增大而增大,则m 的取值范围是4、已知菱形的边长为5,一条对角线的长为8,则它的面积为5、如图,直线)(0k b kx y ≠+=与x 轴交点为(2,0),与y 轴的交点为(0,3),则关于x 的不等式3b kx 0〈+〈的解集是6、某班主任老师为了对学生乱花钱现象进行教育指导,对班里每位同学一周内大约花钱数额进项了统计,如下表:根据这个统计表可知,该班学生一周花钱数额的众数 元,平均数是 元。
7、如图,已知菱形ABCD 的两条对角线长分别为12和16,M 、N 分别是BC 、CD 的中点,P 是对角线BD 上的一动点,则PM+PN 的最小值为8、如图,正方形ABCD 的边长是16,点E 在边AB 上,AE =3,点F 是边BC 上不与点B ,C 重合的一个动点,把△EBF 沿EF 折叠,点B 落在B'处.若△CDB'恰为等腰三角形,则DB'的长为 .二、简答题9、(9分)先化简22144(1)11x x x x -+-÷--,然后从-2≤x ≤2的范围内选取一个合适的整数作为x 的值代入求值.10、(9分)若22-3y 223x=+=,。
求y -x xy 2-y x -y -x y -x +的值。
11、(10分)在平行四边形ABCD 中,O 是AC 与BD 的交点,过点O 的直线EF 与AB 、CD 的延长线分别交于点E 、F 。
(1)求证:DOF B OE∆≅∆ (2)当AC与EF满足什么条件时,四边形AECF是菱形,并证明你的结论。
钱数(元) 5 10 15 20 25 生人数 7 12 18 10 312、(10分)为了了解市民“获取新闻的最主要途径”,某市记者开展了一次抽样调查,根据调查结果绘制了如下尚不完整的统计图.根据以上信息解答下列问题:(1)这次接受调查的市民总人数是__________;(2)扇形统计图中,“电视”所对应的圆心角的度数是__________;(3)请补全条形统计图;(4)若该市约有80万人,请你估计其中将“电脑和手机上网”作为“获取新闻的最主要途径”的总人数.13、(10分)如图,一次函数y=kx+b的图像经过A、B两点,与x轴交于点C,求:(1)一次函数的解析式;(2)△AOC的面积.14、(13)水果公司准备到王屋山苹果基地购买一批苹果,苹果基地对购买量在3000千克以上(含3000千克)的有两种销售方案,甲方案:每千克9元,由基地送货上门。
凉水初中2010-2011九年级(下)开学考试 英 语 答 题 卷 听力(30分) 题号 1 2 3 4 5 6 7 8 9 10 答案 题号 11 12 13 14 15 16 17 18 19 20 答案 单项选择。
(共20分) 题号 21 22 23 24 25 26 27 28 29 30 答案 题号 31 32 33 34 35 36 37 38 39 40 答案 .完形填空。
(共20分) 题号 41 42 43 44 45 46 47 48 49 50 答案 阅读理解(共30分) 题号 51 52 53 54 55 56 57 58 答案 题号 59 60 61 62 63 64 65 答案 口语运用(共5分) 题号 66 67 68 69 70 答案 完成句子(共10分) 题号 71 72 73 答案 题号 74 75 答案
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题号76 77 78 79 80
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书面表达。
(共15分)
中考来临之际,你有何打算?在接下来的三个月里,为了实现你的梦想,你将如何安排你的学习和生活?内容必须包括:
1.你的中考奋斗目标是什么?
2.你将作何努力来实现你的梦想?(包括学习,生活,体育锻炼等)
3. 词数在80词左右,无需写题目。
入学测评-初中数学 初三暑秋班XX 宏博培训学校学员姓名:家长手机号:【学生注意】1.请务必填写姓名2.请不要把书、笔记本等资料带到测试区3.本次测试包括10道小题,测试时间30分钟.满分100分4.请把填空题的答案填在相应的横线上【测试题】( 共10道题,每道题10分,满分100分 )第1题:△ABC 和它的三边中点所形成三角形的相似比为( )A .1: 1B .1: 2C .2: 1D .4: 1答案:_______________第2题:方程 x 2 + x − 1 = 0 方程的一个根是( )A. 51-B. 251-C. 51+-D. 251+- 答案:_______________第3题:函数 y = ax + b 与 y = ax 2+ bx + c 在同一直角坐标系内的图象可以是( )A. B.B. D.答案:_______________第4题:已知二次函数与 x 轴交于两点 (− 2, 0) 和 (3, 0) ,且经过点 (2, 4) ,则该二次函数的解析式为( )A. y = − x 2 + x + 6B. y = x 2 − x − 6B. C. y = x 2 + x − 6 D. y = − x 2 − x + 6答案:_______________第5题:如图, ⊙ O 的直径AB 垂直弦CD 于P ,且P 是半径OB 的中点,CD = 6,则直径AB 的长度为( )A .12 B. 36C. 38D. 34答案:_______________第6题:已知关于x 的方程kx 2− 2x − 1 = 0有实数根,则k 的取值范围是( )A. k ≥ 1B. k ≥ − 1C. k ≥ − 1且k ≠ 0D. k ≤ 1且k ≠ 0 答案:_______________第7题:如下图, OB 是 ⊙ O 的半径,点 C 、 D 在 ⊙ O 上, ∠DCB = 27°.∠OBD=__________°.答案:_______________第8题:如图,在 △ ABC 中,若 ∠AED = ∠B , DE = 3 , AB = 5 , AE = 4 ,则 BC 的长为( ) A. 415 B. 7 C. 215 D. 524 答案:_______________第9题:平面直角坐标系 xOy 中,抛物线 y = ax 2− 4ax + 4a + c 与 x 轴交于点 A 、点 B ,与 y 轴的正半轴交于点 C ,点 A 的坐标为 (1, 0) , OB = OC ,抛物线的顶点为 D ,则 D 的纵坐标为 ____________ .答案:_______________第10题:如图 AB ﹑ CD 为 ⊙ O 的直径, AB ⊥ CD , ⊙ O 的半径为 1 ,点 P 从点 D 开始沿着弧 DB 运动到点 B ,在运动过程中设 PA = x , PD + PC = y ,则 y 关于 x 的图象大致是( )A. AB. BC. CD. D答案:_______________。
2011-2012学年明师教育初三级保证班入学试(三)数学科问卷总分:150分 考试时间:120分钟考试校区:_________ 考号:_________ 姓名:___________ 成绩:一、选择题(下列每小题所给的四个答案中只有一个是正确的,每小题3分,共30分) 1. 下列交通标志中既是中心对称图形,又是轴对称图形的是( )2.使代数式43--x x 有意义的x 的取值范围是( ) A .x>3B .x≥3C . x>4D .x≥3且x≠43.已知a 为任何实数,那么下列各式一定有意义的是 ( ) A.12-a B. 12+aC.2)1(1-a D.2)1(1+a 4.已知方程2520x x -+=的两个解分别为1x 、2x ,则1212x x x x +-⋅的值为( ) A .7- B .3- C .7 D .35.关于x 的方程(a -5)x 2-4x -1=0有实数根,则a 满足( )A .a ≥1B .a >1且a ≠5C .a ≥1且a ≠5D .a ≠56.如图,在直角△ABC 中,035,90=∠=∠A C ,以直角顶点C 为旋转中心,将△ABC 旋转到△C B A //的位置,其中//,B A 分别是B A ,的对应点,且点B 在斜边//B A 上,直角边/CA 交AB 于点D ,这时BDC ∠的度数是( ) A.70°B.90°C.100°D.105°7. 小明不慎把家里的圆形玻璃打碎了,其中四块碎片如图所示,为配到与原来大小一样的圆形玻璃,小明带到商店去的一块玻璃碎片应该是( )A .第①块B .第②块C .第③块D .第④块8.已知n m ,是方程0122=--x x 的两根,且8)763)(147(22=--+-n n a m m ,则a 的值等于( )A .-5B.5C.-9D.9A.B.C.D.C9.如图,已知△ABC 中,AB=AC ,∠BAC=90°,直角∠EPF 的顶点P 是BC 中点,两边PE 、PF 分别交AB 、AC 于点E 、F ,给出以下四个结论: ①AE=CF ;②△EPF 是等腰直角三角形; ③S 四边形AEPF=12S △ABC ; ④当∠EPF 在△ABC 内绕顶点P 旋转时(点E 不与A 、B 重合) BE+CF=EF . 上述结论中始终正确的有( )A.1个B.2个C.3个D.410.如图,两正方形彼此相邻且内接于半圆,若小正方形的面积为16cm 2,则该半圆的半径为( )cm 。
2011-2012学年明师教育初三级保证班入学试(三)物理科答案一、选择题(每小题3分,共36分)二、填空题(每空1分,共15分)13、脚,力的作用是相互的14、每立方米的牛奶质量是1.2×103千克、250ml 、2.5×10 -4m3、0.3kg、不变15、正,质量是1kg的物体受到的重力为9.8N16、2.8N、5N17、0.1cm、3.13m18、省力、费距离三、作图题(19、20题每题2分,21题4分,共8分)19、2021、注意:F1比F2小,F1的作用点在人上图4四、计算题(共12分) 22、解:每问各3分共6分V=Sh =5000 m 2×0.2 m= 10 3m 3m = ρV =2.4×10 3 kg /m 3×10 3m 3=2.4×10 3 t23、解:每问各3分共6分T=08:00+24:00-17:24=14.6hV =ts =h 6.141460km =100km/h五、问答题(共5分)24、乘坐公共汽车,为何急刹车时乘客会向前倾?答:这是惯性现象,刹车前人和车一起高速向前运动,刹车时乘客的脚部受到摩擦力而减速,乘客的上身由于惯性保持刹车前的速度向前运动,造成乘客的上身比脚快,所以向前倾。
六、实验、探究题(25题7分,26题8分27题9分,共24分) 25、(1)V 物= 10 cm 3(2分) (2) m= 32.5 g (2分)(3)密度是3.25×10 3kg /m 3(3分) 26、① (每答对两个得1分,共3分)② 结论是 F1L1 = F2 L2 。
(3分) ③ 是 。
(2分)27、下图是某实验小组做的“探究滑动摩擦力与哪些因素有关”的实验。
①实验中要求必须水平匀速拉动弹簧测力计,这样做的目的是:使木块所受的摩擦力与秤对木块的拉力对是一对平衡力,f = F ,间接测量出摩擦力;(3分)②分析甲、乙两次实验现象,可以得出的结论:压力一定时,接触面越粗糙,摩擦力越大;(3分)③分析甲、丙两次实验现象,可以得出的结论:接触面越粗糙程度一定时,压力越大,摩擦力越大。
2011-2012学年明师教育初三级保证班入学试(三)数学科答案一、 选择题(每小题3分,共30分) 1-5 DDBDA 6-10 DBCCC二、 填空题(每小题3分,共18分)11、3 12、6 13、a<1 14、0150 15、4± 16、(2,4)-三、 解答题(共102分)17. 解:∵△ACP′是由△ABP 绕点A 逆时针旋转后得到的,∴△ACP′≌△ABP , ……3分 ∴AP=AP′,∠BAP=∠CAP′. ∵∠BAC=90°,∴∠PAP′=90°. ……6分 ∵AP=3,∴PP′= ……9分18.原式24(1)1(1)(1)(4)(1)1x x x x x x x -+=⋅++⋅--⋅+- ……3分1111x x =+-- 21x =- ……6分把1x =代入得,原式3=== ……9分19.原式11a b b a =-+--+ ……4分 1b a b a a =-+-++ ……8分 2b = ……10分20. (1)依题意得2(3)4()0k ∆=--⋅->940k +>94k >- ……4分(2)取k=-1时,原方程为2310x x -+=,解得132x =,232x =取k=-2时,原方程为2320x x -+=,解得11x =,22x = (任取一个即可)……10分21.解:由判别式大于零,得(2m-3)2-4m2>0,解得m<34.……3分∵11αβ+=1即1αβαβ+=⋅.∴α+β=αβ.又α+β=-(2m-3),αβ=m2.代入上式得3-2m=m2.解之得m1=-3,m2=1.……10分∵m2=1>34,故舍去.∴m=-3.……12分22. 解:设应将每千克小型西瓜的售价降低x元.根据题意,得[(3-2)-x](200+ 40x0.1)-24=200.……6分原式可化为:50x2-25x+3=0,解这个方程,得x1=0.2,x2=0.3.……10分答:应将每千克小型西瓜的售价降低0.2或0.3元.……12分23. 证明:(1)连接OD.∵AD∥OC,∴∠ADO=∠COD,∠A=∠COB.(1分)∵OA=OD,∴∠A=∠ADO.(3分)∴∠COD=∠COB.(5分)∴弧BE=弧DE,即点E是弧BD的中点.(6分)(2)由(1)可知∠COD=∠COB,在△COD和△COB中, {OD=OB∠COD=∠COBOC=OC,(1分)∴△COD≌△COB,∴∠CDO=∠CBO.(2分)∵BC与⊙O相切于点B,∴BC⊥OB,即∠CBO=90°.(4分)∴∠CDO=90°,即DC⊥OD.∴CD是⊙O的切线.(6分)24. 解:(1)证明:连接MN,∵AO=OB且△OAM和△OBN是等边三角形,∴OM=BN=OB,∠MOA=∠NBO,(1分)∴MO∥BN,且OM=BN,∴四边形MOBN为平行四边形.(3分)又∵BN=OB,∴平行四边形MOBN为菱形,∴ON⊥BM.(4分)(2)∵四边形MOBN为菱形,∴BM平分∠OBN,(5分)又在等边△OBN中,∠OBN=60°,∴∠MBO=30°,即∠PBA=30°.(6分)同理∠PAB=30°,∴∠APB=180°-∠PAB-∠PBA=180°-30°-30°=120°.(8分)(3)在旋转过程中∠APB大小不发生变化,始终保持120°不变.(9分)证明:①若△OBN绕着点O逆时针旋转α(0°<α<60°)或顺时针旋转α(0°<α<120°)时,则如图,在△AON和△MOB中,∠AON=∠AOM+∠MON=60°+∠MON,又∠MOB=∠BON+∠MON=60°+∠MON,∴∠AON=∠MOB,(10分)又AO=MO,ON=OB,∴△AON≌△MOB,∴∠ONA=∠OBM.(11分)∴∠APB=∠ANB+∠PBN=∠ONB+∠ONA+∠OBN-∠OBM=120°.(12分)②若△OBN绕着点O逆时针旋转60°或顺时针旋转120°时,点P与M或O重合,此时仍有∠APB=120°.(13分)③若△OBN绕着点O逆时针旋转α(60°<α<180°)或顺时针旋转α(120°<α<180°)时,类似①可证∠APB=120°.(14分)25. 解:(1)如右图所示,∵AB是直径,∴∠ACB=90°,∴∠CAB+∠ABC=90°,∵∠MAC=∠ABC,∴∠CAB+∠MAC=90°,即∠MAB=90°,∴MN是半圆的切线.(4分)(2)证明:∵DE⊥AB,∴∠EDB+∠ABD=90°,∵AB是直径,∴∠ACB=90°,∴∠CBG+∠BGC=90°,∵D是弧AC的中点,∴∠CBD=∠ABD,∴∠EDB=∠BGC,∵∠DGF=∠BGC,∴∠EDB=∠DGF,∴DF=FG.(4分)(3)∵DF=FG,∴∠DGF=∠FDG,∵∠DGF+∠DAG=90°,∠FDG+∠ADF=90°,∴∠DAF=∠ADF,∴AF=DF=GF,∴S△DGF= 12S△ADG,∵△BCG∽△ADG,∴ S△BCGS△ADG= (CGDG)2,∵△DFG的面积为4.5,且DG=3,GC=4,∴S△BCG=16.答:△BCG的面积是16.(6分)。
A B CDP A BC D E FGH 初三入学摸底测试题满分150分一、选择题(每题4分,共40分)1.设a =19-1,a 在两个相邻整数之间,则这两个整数是………………………………( ) A .1和2 B .2和3 C .3和4 D .4和52.若二次函数52++=bx x y 配方后为k x y +-=2)2(则b 、k 的值分别为……………( ) A .0,5 B. 0,1 C. —4, 5 D. —4, 13.若函数22(2)2x x y x ⎧+=⎨⎩ ≤ (x>2),则当函数值y =8时,自变量x 的值是……………………( )AB .4 C或4 D .44.如图,D 是△ABC 内一点,BD ⊥CD ,AD =6,BD =4,CD =3,E 、F 、G 、H 分别是AB 、AC 、CD 、BD 的中点,则四边形EFGH 的周长是……………………………………………( ) A .7 B .9 C .10 D .11 5 .已知一次函数y ax b =+的图象过第一、二、四象限,且与x 轴交于点(2,0),则关于x 的不等式(1)0a x b -->的解集为………………………………………………………………( ) A .x<-1 B .x> -1 C . x>1 D .x<16如下图,一次函数y=ax + b 与二次函数y=ax 2+bx+c 的图象可能是…………………( )7. 函数362+-=x kx y 的图象与x 轴有交点,则k 的取值范围是…………………( )A .3<kB .03≠<k k 且C .3≤kD .03≠≤k k 且8. 已知二次函数y 2) A .抛物线开口向上 B .抛物线与y 轴交于负半轴C .当x =4时,y >0D .方程02=++c bx ax 的正根在3与4之间9.如图,在四边形ABCD 中,∠BAD =∠ADC =90°,AB =AD =22,CD =2,点P 在四边形ABCD 的边上.若点P 到BD 的距离为23,则点P 的个数为…………………………( ) A .1 B .2 C .3 D .410.若x 1,x 2(x 1 <x 2)是方程(x -a)(x-b) = 1(a < b)的两个根,则实数x 1,x 2,a,b 的大小关系为( ) A .x 1<x 2<a <b B .x 1<a <x 2<b C .x 1<a <b <x 2 D .a <x 1<b <x 2 二、填空题(每题5分,共20分)11. 因式分解:=+-b ab b a 2212.若m 为正实数,且13m m -=,221m m-则= 13.定义运算a ⊗b =a (1-b ),下面给出了关于这种运算的四个结论: ①2⊗(-2)=6 ; ②a ⊗b =b ⊗a ;③若a +b =0,则(a ⊗a )+(b ⊗b )=2ab ; ④若a ⊗b =0,则a =0. 其中正确结论的序号是 (填上你认为所有正确结论的序号)14.已知二次函数2y ax bx c =++(a ≠0)的图象如图所示,则下列结论:① abc >0; ② a –b +c <0; ③当x <0时,y <0;④方程20ax bx c++=(a≠0)有两个大于-1的实数根. 其中错误的结论有 (填上你认为所有正确结论的序号)第4题 第9题 三、解答题15. (8分)(11011)4-⎛⎫- ⎪⎝⎭(2)先化简再选一个你喜欢数求值aa a a a -+-÷--2244)111(,其中1-=a16. (8分) 解不等式组36;445(2)82.x x x x -⎧+⎪⎨⎪--<-⎩≥ 第14题• •17.(8分)(2011安徽中考).在平面直角坐标系中,一蚂蚁从原点O 出发,按向上、向右、向下、向右的方向依次不断移动,每次移动1个单位,其行走路线如下图所示.(1)填写下列各点的坐标:A 4( , )、A 8( , )、A 12( , ); (2)写出点A 4n 的坐标(n 是正整数);n A 4( , )(3) 蚂蚁从点A 100到点A 101的移动方向是 18. (8分)(2010安徽中考). 在国家下身的宏观调控下,某市的商品房成交价由今年3月分的14000元/2m 下降到5月分的12600元/2m⑴问4、5两月平均每月降价的百分率是多少?(参考数据:95.09.0≈)⑵如果房价继续回落,按此降价的百分率,你预测到7月分该市的商品房成交均价是否会跌破10000元/2m ?请说明理由19(10分)(2010安徽中考).如图,AD ∥FE ,点B 、C 在AD 上,∠1=∠2,BF =BC ⑴求证:四边形BCEF 是菱形⑵若AB =BC =CD ,求证:△ACF ≌△BDE17. (10分)(1) 定义新运算“⊕”如下:当a ≥b 时,a ⊕b=ab +b ,当a <b 时,a ⊕b=ab-a ; 若(2x -1)⊕(x +2)=0,求x(2)已知抛物线过点A (-1,0),B (0,6),对称轴为直线x =1. 求抛物线的解析式21(12分)(2010安徽中考第23题).春节期间某水库养殖场为适应市场需求,连续用20天时间,采用每天降低水位以减少捕捞成本的办法,对水库中某种鲜鱼进行捕捞、销售。
2011年名师辅导班新初三入学考试数学测试一.选择题(本大题共4题,每题4分,满分16分)1.顺次连结菱形各边中点所得到的四边形一定是………………… ( ) (A)平行四边形; (B) 矩形; (C) 菱形; (D)正方形.2.在△ABC 中,D 、E 、F 分别是AB 、BC 、AC 上的中点,其中与D E相等的向量是……………………………………………………… ( ) (A) AD ; (B) ED; (C) C F ; (D) AF.3.下列事件不是..随机事件的是 …………………………………… ( ) (A) 购买一张彩票,中奖;(B) 掷一枚普通骰子,朝上一面的点数恰好是4;(C) 从一副扑克牌中任意抽出5张牌,这5张牌全部都是A ; (D) 马路上接连驶过10辆汽车,它们牌照的尾数都是偶数.4.矩形、菱形、正方形都具有的性质是…………………………… ( ) (A)每一条对角线平分一组对角; (B)对角线相等; (C)对角线互相平分;(D)对角线互相垂直.二.填空题:(本大题共14题,每题4分,满分56分)5.与直线x y -=平行且在y 轴上的截距是5-的直线的解析式为 . 6.关于x 的方程)1(1)1(≠+=-a x x a 的解为 .7.已知一次函数1+=kx y ,若函数值y 随着自变量x 值的增大而减小,则k 的取值范围是 . 8.已知函数132+=x y ,如果函数值0>y ,那么相应的自变量x 的取值范围是 .9.方程0643=-x 的实数解是 . 10.方程21=-x 的根是 . 11.用换元法解方程03)1(2)1(2=-+-+x x x x 时,若设1+=x x y ,则原方程可变形为 .12.十二边形的内角和等于 .13.一个骰子,六个面上的数分别为1,2,3,4,5,6,投掷一次,向上的面上的数是偶数的概率为 .BC(第2题图)14.已知菱形的周长为40cm ,两条对角线之比为3︰4,则菱形的面积为_______. 15.已知正方形ABCD 的边长等于4cm ,那么边AB 的中点M 到对角线BD 的距离等于cm .16.如图,□ABCD 的周长为20cm ,AC 、BD 相交于点O ,OE ⊥AC 交AD 于E ,则△DCE 的周长为 . 17.用16cm 长的绳子围成一个等腰三角形,设它的底边长为y cm ,腰长为x cm ,则y 与x 之间的函数关系式为 (写出自变量x的取值范围).18.在梯形ABCD 中,AD ∥BC ,︒=∠90B ,4=AB cm ,5=CD cm ,5=AD cm ,则BC 的长为 cm .三、简答题(本大题共4题,每题10分,满分40分)19.解方程: 1122x x +=+. 20.解方程组:22225 ,20 .x y x xy y ⎧+=⎨--=⎩21.如图,在平面直角坐标系中,一次函数y =kx +b 的图象与x 轴交于点A (-1,0),与反比例函数y =m x 在第一象限内的图象交于点B (12 ,n ).连结OB ,若S △AOB =1.(1)求反比例函数与一次函数的关系式;(2)直接写出不等式组 的解集.22. 甲乙两车同时从A 地出发,以各自的速度匀速向B 地行驶.甲车先到达B 地,停留半小时后按原路以另一速度匀速返回,直到两车相遇.乙车的速度为60km/h ,两车间距离y (km)与乙车行驶时间x (h )之间的函数图象如下.(1)将图中( )填上适当的值,并求甲车从A 到B 的速度.(第16题图)mx>kx +b , x >0,(2)求从甲车返回到与乙车相遇过程中y 与x 的函数关系式,并写出自变量取值范围. (3)求出甲车返回时行驶速度及AB 两地的距离.23.(本题满分12分)如图(1),正方形ABCD 中,点H 从点C 出发,沿CB 运动到点B停止.连结DH 交正方形对角线AC 于点E ,过点E 作DH 的垂线交线段AB 、CD 于点F 、G .(1)求证: DH =FG ;(2)在图(1)中延长FG 与BC 交于点P ,连结DF 、DP (如图(2)),试探究DF与DP 的关系,并说明理由.A BCDE FG H 图(1)A B CDFE G PH图(2)24、(本题满分12分)探索勾股定理时,我们发现“用不同的方式表示同一图形的面积”可以解决线段和 (或差)的有关问题,这种方法称为面积法。
请你运用面积法求解下列问题:在等腰三 角形ABC 中,AB=AC,BD 为腰AC 上的高。
(1)若BD=h ,M 时直线BC 上的任意一点,M 到AB 、AC 的距离分别为12h h ,。
① 若M 在线段BC 上,请你结合图形①证明:12h +h = h ; 图① ② 当点M 在BC 的延长线上时,12h h ,,h 之间的关系为 .(请直接写出结论,不必证明) (2)如图②,在平面直角坐标系中有两条直线1l :y =34x + 6 若2l 上的一点M 到1l 的距离是3,请你利用以上结论求解点M25.(本题满分14分)如图,在矩形ABCD 中,AB =43,BC =4.点M 是AC 上动点(与点A 不重合),设AM =x ,过点M 作AC 的垂线,交直线AB 于点N . (1)当△AND 的面积为833时,求x 的值;(2)以D 、M 、N 三点为顶点的△DMN 的面积能否达到矩形ABCD 面积的18?若能,请求出此时x 的值,若不能,请说明理由.ABCDMNCAB D EMF一、选择题1.B ; 2.D ; 3.C ; 4. C ; 二、填空题:5. 5-x y -= 6. 11-+=a a x 7. 0<k 8. 23->x 9. 4=x10.5=x 11. 0322=--y y 12 . 1800° 13. 21 14.9615.2 16. 10 17. )84(216<<-=x x y 18. 2或8三、简答题19.解:x +(x +2)=2x (x +2) ……………………………………………(2分) 整理得:x 2+x -1=0 …………………………………………………(2分) ∴x =251±- ……………………………………………………………(4分)经检验x =251±-均为原方程的解∴原方程的解为x =251±- ……………………………………………(2分)20.解:由(2)得:()(2)0x y x y +-=得到方程组: 225 0 x y x y ⎧+=⎨+=⎩,, 225 20 x y x y ⎧+=⎨-=⎩,,………………(4分) 所以原方程组的解是1122x y ⎧=⎪⎪⎨⎪=-⎪⎩,;2222x y ⎧=-⎪⎪⎨⎪=⎪⎩; 332 1 x y =⎧⎨=⎩,; 442 1 .x y =-⎧⎨=-⎩, ………………(6分)21(1)由题意得OA =1,因为S △AOB =1,所以12 ×1×n =1,解得n =2……2分所以B 点坐标为(12 ,2),代入y =m x 得m =1,所以反比例函数关系式为y =1x …2分因为一次函数的图象过点A 、B ,把A 、B 点坐标代入y =kx +b 得解得所以,一次函数的关系式为y =43 x +43………2分12 k +b =2-k +b =0,b =43 k =43 ,(2)由图象可知,不等式组的解集为:0<x <12………4分22解:(1)( )内填90; ---------------------------------------------------1分 由题意:,甲1206033=⨯-v )(解得甲h km v /100= 甲车从A 到B 的行驶速度为100km/h. ------------------------------------------2分 (2)设y=kx+b 把(3.5,90),(4,0)代入上式得⎩⎨⎧=-=⎩⎨⎧+=+=720180405.390b k bk b k 解得 ∴ 720180+-=x y ;---------------------------------------------------- 3分 自变量x 的取值范围为45.3≤≤x ;------------------------------------------ 1分(3)设甲车返回行驶速度为v km/h,有 0.5×(60+v )=90,得v=120 km/h.------- 2分 A,B 两地的距离是3×100=300(km )------------------------------------------1分.23.(9分)(1)证明:过点F 作FP ⊥DC 于点P在正方形ABCD 中易证FP =DC ………1分 又因为FP ⊥DC ,易证∠PFG =∠HDC ………1分 ∵FP =DC ,∠PFG =∠HDC ,∠FPG =∠DCH =90° ∴△FPG ≌△DCH ………3分 ∴DH =FG ………1分(2)过点E 分别作AD 、BC 的垂线,交AD 、BC 于点M 、N ,交AB 、CD 于点R 、T . 因为点E 在AC 上,可得四边形AREM 、ENCT 是正方形.………2分 易证△FRE ≌△DME ≌△ENP∴FE =DE =EP ………2分又∵DE ⊥FP ,∴DF 与DP 的关系为相等且垂直.……2分A BCDE FG H 图(1)PABCDF EG PH图(2)MN R T24.(1)证明:连结AM①∵ABC ABM AC M S S S =+ , EM ⊥AB , MF ⊥AC, BD ⊥AC ∴12AC.h =12AB.1h +12AC.2h又∵AB = AC∴h = 1h + 2h ………………………………………………2分 ②1h - 2h = h ………………………………………………2分 (2)由题意可知,DE = DF =10,∴△EDF 是等腰三角形。
………………………………………当点M 在线段EF 上时,依据(1)中结论, ∵h = EO=6,∴M 到DF (即x 轴)的距离也为3.∴点M 的纵坐标为3,此时可求得M(1,3)……………………当点M 在射线FE 上时,依据(1)中结论 ∵h = EO=6,∴M 到DF (即x 轴)的距离也为9.∴点M 的纵坐标为9,此时可求得M(-1,9)………………………………3分 故点M 的坐标为(1,3)或(-1,9)25解:(1)在Rt △ABC 中,AB =43,BC =4,∠B =90°,∵∠BAC 是锐角,∴∠BAC =30°.CABDE M F在Rt △AMN 中,AM =x ,∠AMN =90°, ∴MN =33x ,AN =23x3……………………… 2分 ∴S △ADN =12·AD ·AN =12·4·23x 3=833.∴x =2. ………………………4分(2)设DN 交AC 于点E .当点E 、M 重合时,x =AM =12×4=2 ………………………1分①当0<x <2时,点M 在△ADN 的内部. 过D 作DF ⊥AC ,垂足为F . ∴DF =AD ·sin60°=4×32=23. ∵S △AMN =12x ×33x =36x 2,S △ADN =12×4×23x 3x =433x ,S △ADM =12× x ×23=3x ,∴S △DMN =S △ADN -S △AMN -S △ADM =433x -36x 2-3x =33x -36x 2.设S △DMN =18矩形ABCD ,33x -36x 2=18×43×4=23,2x -x 2=12.∴x 2-2x +12=0.∵ (-2)2-4×1×12<0,∴该方程无实数根. ………3分②当2<x ≤8时,点M 在△ADN 的外部. ∴S △DMN =S △AMN +S △ADM -S △ADN =36x 2+3x -433x =36x 2-33x . 设S △DMN =18矩形ABCD ,36x 2-33x =23, x 2-2x =12.∴x 2-2x -12=0.∴x 1=1-13<0,舍去,x 2=1+13.∵3<13<4,∴4<1+13<5.∴x =1+13满足条件.∴当S △DMN =18S 矩形ABCD 时,x =1+13.…………………………………4分。