2020年广外外校初中入学试卷
广东外贸外语学院肇庆附属中学招生试题
广东外贸外语学院肇庆附属中学招生试题本试卷共四大题,12页,满分110分。
考试时间120分钟。
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听力部分一、听录音,选出你所听到的选项。
(5分)()1、A. traffic B. train C. tell()2、A. taxi B. film C. ship()3、A. street B. sled C. straight()4、A. stop B. go C. wait()5、A. next weekend B. today C. tomorrow二、听录音,选择恰当的答语。
(10分)()1、A. You can take the No.15 busB. You can see the No.15 bus.C. Go straight and you can see the cinema.()2、A. It’s the post officeB. It’s next to the post office.C. It’s next to the supermarket.()3、A. No, it isn’t.B. No, there isn’t.C. Yes, there isn’t.()4、A. You’re right.B. You’re welcome.C. see you.三、听录音,判断下列句子与你所听内容是(T)否(F)一致。
2020-2021学年广东省广州市白云区广外附设外语学校九年级(上)期中数学试卷(含答案)
2020-2021学年广东省广州市白云区广外附设外语学校九年级(上)期中数学试卷一.选择题(共10小题).1.时钟上的分针匀速旋转一周需要60分钟,则经过10分钟,分针旋转了()A.10°B.20°C.30°D.60°2.平面直角坐标系内与点P(﹣2,3)关于原点对称的点的坐标是()A.(3,﹣2)B.(2,3)C.(2,﹣3)D.(﹣3,﹣3)3.2019年10月,《长沙晚报》对外发布长沙高铁西站设计方案.该方案以“三湘四水,杜鹃花开”为设计理念,塑造出“杜鹃花开”的美丽姿态.该高铁站建设初期需要运送大量土石方.某运输公司承担了运送总量为106m3土石方的任务,该运输公司平均运送土石方的速度v(单位:m3/天)与完成运送任务所需时间t(单位:天)之间的函数关系式是()A.v=B.v=106t C.v=t2D.v=106t24.关于这一图案,下列说法正确的是()A.图案乙是由甲绕BC的中点旋转180°得到的B.图案乙是由甲绕点C旋转108°得到的C.图案乙是由甲沿AB方向平移3个边长的距离得到的D.图案乙是由甲沿直线BC翻转180°得到的5.一元二次方程x2=2x的根为()A.x=0B.x=2C.x=0或x=2D.x=0或x=﹣26.等腰三角形的一边长是3,另两边的长是关于x的方程x2﹣4x+k=0的两个根,则k的值为()A.3B.4C.3或4D.77.如图,在⊙O中,直径AB=10,弦DE⊥AB于点C,若OC:OB=3:5,连接DO,则DE的长为()A.3B.4C.6D.88.如图,E,F,G为圆上的三点,∠FEG=50°,P点可能是圆心的是()A.B.C.D.9.二次函数y=ax2+bx+c(a≠0)的图象如图所示,下列结论:①ac<0;②b<0;③4ac﹣b2<0;④当x>﹣1时,y随x的增大而减小.其中正确的有()A.4个B.3个C.2个D.1个10.一次函数y=acx+b与二次函数y=ax2+bx+c在同一平面直角坐标系中的图象可能是()A.B.C.D.二、填空题(共6小题).11.在平面直角坐标系中,点A(﹣2,1),B(3,2),C(﹣6,m)分别在三个不同的象限.若反比例函数y=(k≠0)的图象经过其中两点,则m的值为.12.把函数y=(x﹣1)2+2图象向右平移1个单位长度,平移后图象的函数解析式为.13.抛物线y=2x2+2(k﹣1)x﹣k(k为常数)与x轴交点的个数是.14.将一元二次方程x2﹣8x﹣5=0化成(x+a)2=b(a,b为常数)的形式,则b=.15.如图,在Rt△ABC中,∠C=90°,AC=4,BC=3.若以AC所在直线为轴,把△ABC旋转一周,得到一个圆锥,则这个圆锥的侧面积等于.16.如图,在坐标系中放置一菱形OABC,已知∠ABC=60°,OA=1,先将菱形OABC沿x轴的正方向无滑动翻转,每次翻转60°,连续翻转2019次,点B的落点依次为B1,B2,B3,…,则B2019的坐标为.三、解答题(本大题共9小题,满分72分)17.解方程:x2﹣4x﹣8=0.18.如图,将△ABC先向上平移1个单位,再绕点P按逆时针方向旋转90°,得到△A'B'C′,(1)画出△A'B'C'.(2)写出下列各点的坐标A',B′,C′.19.某公司一月份营业额为10万元,若二、三月份增长率相同,到三月份时,营业额达到12.1万元.求二、三月份的平均增长率.20.如图,已知△ABC是⊙O的内接三角形,AD是⊙O的直径,连结BD,BC平分∠ABD.(1)求证:∠CAD=∠ABC;(2)若AD=6,求的长.21.已知二次函数y=﹣x2﹣2x+3.(1)求这个二次函数图象的顶点坐标.(2)求这个二次函数图象与x轴的交点坐标.(3)直接写出这个二次函数图象与y轴的交点坐标.22.某商品的进价为每件40元,在销售过程中发现,每周的销售量y(件)与销售单价x(元)之间的关系可以近似看作一次函数y=kx+b,且当售价定为50元/件时,每周销售30件,当售价定为70元/件时,每周销售10件.(1)求k,b的值;(2)求销售该商品每周的利润w(元)与销售单价x(元)之间的函数解析式,并求出销售该商品每周可获得的最大利润.23.如图1,AB为⊙O的直径,AD与⊙O相切于点A,DE与⊙O相切于点E,点C为DE延长线上一点,且CE =CB.(1)求证:BC为⊙O的切线;(2)连接AE,AE的延长线与BC的延长线交于点G(如图2所示),若AB=2,AD=2,求线段BC和EG的长.24.综合与实践问题情境:如图①,点E为正方形ABCD内一点,∠AEB=90°,将Rt△ABE绕点B按顺时针方向旋转90°,得到△CBE′(点A的对应点为点C).延长AE交CE′于点F,连接DE.猜想证明:(1)试判断四边形BE'FE的形状,并说明理由;(2)如图②,若DA=DE,请猜想线段CF与FE'的数量关系并加以证明;解决问题:(3)如图①,若AB=15,CF=3,请直接写出DE的长.25.如图,抛物线y=ax2+bx+c(a,b,c是常数,a≠0)的对称轴为y轴,且经过(0,0)和(,)两点,点P在该抛物线上运动,以点P为圆心的⊙P总经过定点A(0,2).(1)求a,b,c的值;(2)求证:在点P运动的过程中,⊙P始终与x轴相交;(3)设⊙P与x轴相交于M(x1,0),N(x2,0)(x1<x2)两点,当△AMN为等腰三角形时,求圆心P的纵坐标.2020-2021学年广东省广州市白云区广外附设外语学校九年级(上)期中数学试卷试题解析一.选择题(本大题共10小题,每小题3分,共30分)1.解:∵时钟上的分针匀速旋转一周的度数为360°,时钟上的分针匀速旋转一周需要60分钟,则时钟上的分针匀速旋转一分钟时的度数为:360÷60=6°,那么10分钟,分针旋转了10×6°=60°,故选:D.2.解:由题意,得点P(﹣2,3)关于原点对称的点的坐标是(7,故选:C.3.解:∵运送土石方总量=平均运送土石方的速度v×完成运送任务所需时间t,∴106=vt,∴v=,故选:A.4.解:如图所示:可得图案乙是由甲绕BC的中点旋转180°得到的.故选:A.5.解:∵x2=2x,∴x7﹣2x=0,则x(x﹣6)=0,∴x=0或x﹣5=0,解得x1=3,x2=2,故选:C.6.解:当3为腰长时,将x=3代入x4﹣4x+k=0,得:82﹣4×5+k=0,解得:k=3,当k=2时,原方程为x2﹣4x+6=0,解得:x1=8,x2=3,∵4+3=4,8>3,∴k=3符合题意;当5为底边长时,关于x的方程x2﹣4x+k=5有两个相等的实数根,∴△=(﹣4)2﹣4×1×k=0,解得:k=5,当k=4时,原方程为x2﹣2x+4=0,解得:x3=x2=2,∵8+2=4,3>3,∴k=4符合题意.∴k的值为4或4.故选:C.7.解:∵AB=10,OC:OB=3:5,∴OC=3,在Rt△OCD中,CD==,∵DE⊥AB,∴DE=2CD=8,故选:D.8.解:∵∠FEG=50°,若P点圆心,∴∠FPG=2∠FEG=100°.故选:C.9.解:①∵由二次函数的图象可知:抛物线的开口向上,∴a>0;又∵二次函数的图象与y轴的交点在负半轴,∴c<0;∴ac<4,即①正确;②由图象知,对称轴x=﹣,则b=﹣2a<8;③由图象知,抛物线与x轴有2个交点2﹣6ac>0,故③正确;④由图象可知当x>1时,y随x的增大而增大.综上所述,正确的结论是:①②③.故选:B.10.解:A、由抛物线可知,b<0,则ac>0,ac>3,故本选项不合题意;B、由抛物线可知,b>0,则ac>0,ac>4,故本选项符合题意;C、由抛物线可知,b>0,则ac<0,ac<6,故本选项不合题意;D、由抛物线可知,b<0,则ac<0,ac>2,故本选项不合题意.故选:B.二、填空题(本大共6小题,每小题3分,共18分)11.解:∵点A(﹣2,1),7),m)分别在三个不同的象限,1)在第二象限,∴点C(﹣6,m)一定在第三象限,∵B(4,2)在第一象限(k≠0)的图象经过其中两点,∴反比例函数y=(k≠8)的图象经过B(3,C(﹣6,∴8×2=﹣6m,∴m=﹣7,故答案为:﹣1.12.解:∵二次函数y=(x﹣1)2+2的图象的顶点坐标为(1,2),∴向右平移8个单位长度后的函数图象的顶点坐标为(2,2),∴所得的图象解析式为y=(x﹣8)2+2.故答案为y=(x﹣3)2+2.13.解:∵抛物线y=2x2+8(k﹣1)x﹣k(k为常数),∴当y=0时,8=2x2+4(k﹣1)x﹣k,∴△=[2(k﹣2)]2﹣4×5×(﹣k)=4k2+2>0,∴0=6x2+2(k﹣7)x﹣k有两个不相等的实数根,∴抛物线y=2x2+4(k﹣1)x﹣k(k为常数)与x轴有两个交点,故答案为:2.14.解:∵x2﹣8x=4,∴x2﹣8x+16=3+16,即(x﹣4)2=21,故答案为:21.15.解:由已知得,母线长l=5,∴圆锥的侧面积是s=πlr=5×6×π=15π.故答案为:15π.16.解:连接AC,如图所示.∵四边形OABC是菱形,∴OA=AB=BC=OC.∵∠ABC=60°,∴△ABC是等边三角形.∴AC=AB.∴AC=OA.∵OA=1,∴AC=1.画出第2次、第6次,如图所示.由图可知:每翻转6次,图形向右平移5.∵2019=336×6+3,∴点B8向右平移1344(即336×4)到点B2019.∵B3的坐标为(8,0),∴B2019的坐标为(2+1344,4),∴B2019的坐标为(1346,0).故答案为:(1346,0).三、解答题(本大题共9小题,满分72分)17.解:a=1,b=﹣4,△=16﹣2×1×(﹣8)=48,x=,x1=7+2,x7=2﹣2.18.解:如图,△A′B′C′即为所求:(2)A'(﹣1,4),3),2).故答案为(﹣1,5),2),2).19.解:设这两个月营业额的平均增长率是x,由题意可得:10(1+x)2=12.3,解得x1=0.8;x2=﹣2.7(不合题意舍去).答:这两个月营业额的平均增长率是10%.20.解:(1)∵BC平分∠ABD,∴∠DBC=∠ABC,∵∠CAD=∠DBC,∴∠CAD=∠ABC;(2)∵∠CAD=∠ABC,∴=,∵AD是⊙O的直径,AD=6,∴的长=×π.21.解:(1)∵二次函数解析式为y=﹣x2﹣2x+5=﹣(x+1)2+6,∴二次函数的图象的顶点坐标为(﹣1,4).(2)∵令y=5,即﹣x2﹣2x+8=0,解得x=﹣3或4,∴二次函数的图象与x轴的交点坐标为:(﹣3,0),6).(3)∵当x=0时,y=3,∴这个二次函数图象与y轴的交点坐标是(5,3),故答案为(0,5).22.解:(1)由题意可得:,∴,答:k=﹣1,b=80;(2)∵w=(x﹣40)y=(x﹣40)(﹣x+80)=﹣(x﹣60)4+400,∴当x=60时,w有最大值为400元,答:销售该商品每周可获得的最大利润为400元.23.(1)证明:连接OE,OC;∵CB=CE,OB=OE∴△OEC≌△OBC(SSS)∴∠OBC=∠OEC又∵DE与⊙O相切于点E∴∠OEC=90°∴∠OBC=90°∴BC为⊙O的切线.(2)解:过点D作DF⊥BC于点F,∵AD,DC,E,B∴DA=DE,CE=CB,设BC为x,则CF=x﹣2,在Rt△DFC中,,解得:;∵AD∥BG,∴∠DAE=∠EGC,∵DA=DE,∴∠DAE=∠AED;∵∠AED=∠CEG,∴∠EGC=∠CEG,∴CG=CE=CB=,∴BG=5,∴AG=;解法一:连接BE,,∴,∴,在Rt△BEG中,,解法二:∵∠DAE=∠EGC,∠AED=∠CEG,∴△ADE∽△GCE,∴,=,解得:.24.解:(1)四边形BE'FE是正方形,理由如下:∵将Rt△ABE绕点B按顺时针方向旋转90°,∴∠AEB=∠CE'B=90°,BE=BE',又∵∠BEF=90°,∴四边形BE'FE是矩形,又∵BE=BE',∴四边形BE'FE是正方形;(2)CF=E'F;理由如下:如图②,过点D作DH⊥AE于H,∵DA=DE,DH⊥AE,∴AH=AE,∴∠ADH+∠DAH=90°,∵四边形ABCD是正方形,∴AD=AB,∠DAB=90°,∴∠DAH+∠EAB=90°,∴∠ADH=∠EAB,又∵AD=AB,∠AHD=∠AEB=90°,∴△ADH≌△BAE(AAS),∴AH=BE=AE,∵将Rt△ABE绕点B按顺时针方向旋转90°,∴AE=CE',∵四边形BE'FE是正方形,∴BE=E'F,∴E'F=CE',∴CF=E'F;(3)如图①,过点D作DH⊥AE于H,∵四边形BE'FE是正方形,∴BE'=E'F=BE,∵AB=BC=15,CF=32=E'B4+E'C2,∴225=E'B2+(E'B+5)2,∴E'B=9=BE,∴CE'=CF+E'F=12,由(2)可知:BE=AH=2,DH=AE=CE'=12,∴HE=3,∴DE===3.25.方法一:解:(1)∵抛物线y=ax2+bx+c(a,b,c是常数,且经过(0,)两点,∴抛物线的一般式为:y=ax2,∴=a()8,解得:a=±,∵图象开口向上,∴a=,∴抛物线解析式为:y=x2,故a=,b=c=0;(2)设P(x,y),又∵y=x2,则r=,化简得:r=>x2,∴点P在运动过程中,⊙P始终与x轴相交;(3)设P(a,a2),∵PA=,作PH⊥MN于H,则PM=PN=,又∵PH=a2,则MH=NH==7,故MN=4,∴M(a﹣2,4),0),又∵A(0,6),∴AM=,AN=,当AM=AN时,=,解得:a=0,当AM=MN时,=4,解得:a=4±2,则a2=7±2;当AN=MN时,=8,解得:a=﹣2±2,则a7=4±2;综上所述,P的纵坐标为:0或4+3.方法二:(3)设P(t,t2),∵r3﹣y2=4,∴MH=NH=5,∴M(t﹣2,0),3),2),∵△AMN为等腰三角形,∴AM=AN,AM=MN,(t﹣2)5+(2﹣0)5=(t+2)2+(2﹣0)2,∴t=7,(t﹣2)2+(8﹣0)2=62,∴t=2±4,(t+2)6+(2﹣0)4=42,∴t=﹣3±2,①当t=6时,P的纵坐标为0,②当t=2±3时,P Y=(2±2,∴P的纵坐标为4±5,③当t=﹣2±7时,P Y=(2±2,∴P的纵坐标为4±5,综上所述,P的纵坐标为:0或7+2.。
广东省广州市白云区广外外校2019-2020学年九年级(上)期中数学试卷 解析版
2019-2020学年广东省广州市白云区广外外校九年级(上)期中数学试卷一.选择题(共10小题)1.方程2x2+6x﹣1=0的两根为x1、x2,则x1+x2等于()A.﹣6B.6C.﹣3D.32.将抛物线y=2x2向上平移3个单位长度,再向右平移2个单位长度,所得到的抛物线为()A.y=2(x+2)2+3B.y=2(x﹣2)2+3C.y=2(x﹣2)2﹣3D.y=2(x+2)2﹣33.下列事件中,是必然事件的是()A.购买一张彩票,中奖B.射击运动员射击一次,命中靶心C.经过有交通信号灯的路口,遇到红灯D.任意画一个三角形,其内角和是180°4.下列说法:(1)等弧所对的圆周角相等;(2)过三点可以作一个圆;(3)平分弦的直径垂直于弦;(4)半圆是一条弧,其中正确的是()A.(1)(2)(3)(4)B.(1)(2)(3)C.(2)(3)(4)D.(1)(4)5.一个圆锥的侧面展开图是半径为8的半圆,则该圆锥的全面积是()A.48πB.45πC.36πD.32π6.根据圆规作图的痕迹,可用直尺成功找到三角形外心的是()A.B.C.D.7.在同一直角坐标系中,一次函数y=ax﹣b和二次函数y=﹣ax2﹣b的大致图象是()A.B.C.D.8.如图,二次函数y=ax2+bx+c的图象经过点A(1,0),B(5,0),下列说法正确的是()A.c<0B.b2﹣4ac<0C.a﹣b+c<0D.图象的对称轴是直线x=39.如图,点E是正方形ABCD的边DC上一点,把△ADE绕点A顺时针旋转90°到△ABF 的位置.若四边形AECF的面积为20,DE=2,则AE的长为()A.4B.2C.6D.210.如图,⊙P与x轴交于点A(﹣5,0),B(1,0),与y轴的正半轴交于点C.若∠ACB =60°,则点C的纵坐标为()A.+B.2+C.4D.2+2二.填空题(共6小题)11.若二次函数y=ax2+bx的图象开口向下,则a0(填“=”或“>”或“<”).12.若关于x的一元二次方程2x2﹣x+m=0有两个相等的实数根,则m的值为.13.小蕾有某文学名著上、中、下各1册,她随机将它们叠放在一起,从上到下的顺序恰好为“上册、中册、下册”的概率是.14.如图所示,AB是⊙O的直径,弦CD⊥AB于H,∠A=30°,CD=2,则⊙O的半径是.15.如图,在一块长12m,宽8m的矩形空地上,修建同样宽的两条互相垂直的道路(两条道路各与矩形的一条边平行),剩余部分栽种花草,且栽种花草的面积为77m2,设道路的宽为xm,则根据题意,可列方程为.16.如图,将△ABC绕点C逆时针旋转得到△A′B′C,其中点A′与A是对应点,点B′与B是对应点,点B′落在边AC上,连接A′B,若∠ACB=45°,AC=3,BC=2,则A′B的长为.三.解答题(共9小题)17.x为何值时,两个代数式x2+1,4x+1的值相等?18.已知:在△ABC中,AB=AC.(1)求作:△ABC外接圆(要求:尺规作图,保留作图痕迹,不写作法)(2)若△ABC的外接圆的圆心O到BC边的距离为4,BC=6,则S⊙O=.19.小明代表学校参加“我和我的祖国”主题宣传教育活动.该活动分为两个阶段,第一阶段有“歌曲演唱”、“书法展示”、“器乐独奏”3个项目(依次用A、B、C表示),第二阶段有“故事演讲”、“诗歌朗诵”2个项目(依次用D、E表示),参加人员在每个阶段各随机抽取一个项目完成.用画树状图或列表的方法列出小明参加项目的所有等可能的结果,并求小明恰好抽中B、D两个项目的概率.20.2019年1月14日,国新办举行新闻发布会,海关总署新闻发言人李魁文在会上指出:在2018年,我国进出口规模创历史新高,全年外贸进出口总值为30万亿元人民币.有望继续保持全球货物贸易第一大国地位.预计2020年我国外贸进出口总值将达36.3万亿元人民币.求这两年我国外贸进出口总值的年平均增长率.21.关于x的一元二次方程x2﹣3x+k=0有实数根.(1)求k的取值范围;(2)如果k是符合条件的最大整数,且一元二次方程(m﹣1)x2+x+m﹣3=0与方程x2﹣3x+k=0有一个相同的根,求此时m的值.22.如图所示,已知抛物线y=x2+bx+c经过点A(﹣1,0),B(5,0).(1)求抛物线的解析式并写出顶点M的坐标;(2)若点C在抛物线上,且点C的横坐标为8,求四边形AMBC的面积.23.如图,AB是⊙O的弦,过点O作OC⊥OA,OC交AB于P,CP=BC.(1)求证:BC是⊙O的切线;(2)已知∠BAO=25°,点Q是上的一点.①求∠AQB的度数;②若OA=18,求的长.24.如图1,△ABC中,CA=CB,∠ACB=α,D为△ABC内一点,将△CAD绕点C按逆时针方向旋转角α得到△CBE,点A,D的对应点分别为点B,E,且A,D,E三点在同一直线上.(1)填空:∠CDE=(用含α的代数式表示);(2)如图2,若α=60°,请补全图形,再过点C作CF⊥AE于点F,然后探究线段CF,AE,BE之间的数量关系,并证明你的结论;(3)若α=90°,AC=5,且点G满足∠AGB=90°,BG=6,直接写出点C到AG 的距离.25.已知抛物线y=2x2+(b﹣2)x+(c﹣2020)(b,c为常数).(1)若抛物线的顶点坐标为(1,1),求b,c的值;(2)若抛物线上始终存在不重合的两点关于原点对称,求c的取值范围.(3)在(1)的条件下,存在正实数m,n(m<n),当m≤x≤n时,恰好,求m,n的值.参考答案与试题解析一.选择题(共10小题)1.方程2x2+6x﹣1=0的两根为x1、x2,则x1+x2等于()A.﹣6B.6C.﹣3D.3【分析】根据根与系数的关系即可求出答案.【解答】解:由于△>0,∴x1+x2=﹣3,故选:C.2.将抛物线y=2x2向上平移3个单位长度,再向右平移2个单位长度,所得到的抛物线为()A.y=2(x+2)2+3B.y=2(x﹣2)2+3C.y=2(x﹣2)2﹣3D.y=2(x+2)2﹣3【分析】根据“上加下减、左加右减”的原则进行解答即可.【解答】解:将抛物线y=2x2向上平移3个单位长度,再向右平移2个单位长度,得到的抛物线的解析式为y=2(x﹣2)2+3,故选:B.3.下列事件中,是必然事件的是()A.购买一张彩票,中奖B.射击运动员射击一次,命中靶心C.经过有交通信号灯的路口,遇到红灯D.任意画一个三角形,其内角和是180°【分析】先能肯定它一定会发生的事件称为必然事件,事先能肯定它一定不会发生的事件称为不可能事件,必然事件和不可能事件都是确定的.【解答】解:A.购买一张彩票中奖,属于随机事件,不合题意;B.射击运动员射击一次,命中靶心,属于随机事件,不合题意;C.经过有交通信号灯的路口,遇到红灯,属于随机事件,不合题意;D.任意画一个三角形,其内角和是180°,属于必然事件,符合题意;故选:D.4.下列说法:(1)等弧所对的圆周角相等;(2)过三点可以作一个圆;(3)平分弦的直径垂直于弦;(4)半圆是一条弧,其中正确的是()A.(1)(2)(3)(4)B.(1)(2)(3)C.(2)(3)(4)D.(1)(4)【分析】利用确定圆的条件、圆的有关性质及定义分别判断后即可确定正确的选项.【解答】解:(1)等弧所对的圆周角相等,正确;(2)过不在同一直线上的三点可以作一个圆,故原命题错误;(3)平分弦(不是直径)的直径垂直于弦,故原命题错误;(4)半圆是一条弧,正确,其中正确的是(1)(4),故选:D.5.一个圆锥的侧面展开图是半径为8的半圆,则该圆锥的全面积是()A.48πB.45πC.36πD.32π【分析】首先利用圆的面积公式即可求得侧面积,利用弧长公式求得圆锥的底面半径,得到底面面积,据此即可求得圆锥的全面积.【解答】解:侧面积是:πr2=×π×82=32π,底面圆半径为:,底面积=π×42=16π,故圆锥的全面积是:32π+16π=48π.故选:A.6.根据圆规作图的痕迹,可用直尺成功找到三角形外心的是()A.B.C.D.【分析】根据三角形外心的定义,三角形外心为三边的垂直平分线的交点,然后利用基本作图和选项进行判断.【解答】解:三角形外心为三边的垂直平分线的交点,由基本作图得到C选项作了两边的垂直平分线,从而可用直尺成功找到三角形外心.故选:C.7.在同一直角坐标系中,一次函数y=ax﹣b和二次函数y=﹣ax2﹣b的大致图象是()A.B.C.D.【分析】可先根据一次函数的图象判断a、b的符号,再判断二次函数图象与实际是否相符,判断正误.【解答】解:A、由一次函数y=ax﹣b的图象可得:a>0,﹣b>0,此时二次函数y=﹣ax2﹣b的图象应该开口向下,顶点的纵坐标﹣b大于零,故A正确;B、由一次函数y=ax﹣b的图象可得:a<0,﹣b>0,此时二次函数y=﹣ax2﹣b的图象应该开口向上,顶点的纵坐标﹣b大于零,故B错误;C、由一次函数y=ax﹣b的图象可得:a<0,﹣b>0,此时二次函数y=﹣ax2+b的图象应该开口向上,故C错误;D、由一次函数y=ax﹣b的图象可得:a>0,﹣b>0,此时抛物线y=﹣ax2﹣b的顶点的纵坐标大于零,故D错误;故选:A.8.如图,二次函数y=ax2+bx+c的图象经过点A(1,0),B(5,0),下列说法正确的是()A.c<0B.b2﹣4ac<0C.a﹣b+c<0D.图象的对称轴是直线x=3【分析】二次函数y=ax2+bx+c(a≠0)①常数项c决定抛物线与y轴交点.抛物线与y轴交于(0,c).②抛物线与x轴交点个数.△=b2﹣4ac>0时,抛物线与x轴有2个交点;△=b2﹣4ac=0时,抛物线与x轴有1个交点;△=b2﹣4ac<0时,抛物线与x轴没有交点.【解答】解:A.由于二次函数y=ax2+bx+c的图象与y轴交于正半轴,所以c>0,故A 错误;B.二次函数y=ax2+bx+c的图象与x轴由2个交点,所以b2﹣4ac>0,故B错误;C.当x=﹣1时,y<0,即a﹣b+c>0,故C错误;D.因为A(1,0),B(5,0),所以对称轴为直线x==3,故D正确.故选:D.9.如图,点E是正方形ABCD的边DC上一点,把△ADE绕点A顺时针旋转90°到△ABF 的位置.若四边形AECF的面积为20,DE=2,则AE的长为()A.4B.2C.6D.2【分析】利用旋转的性质得出四边形AECF的面积等于正方形ABCD的面积,进而可求出正方形的边长,再利用勾股定理得出答案.【解答】解:∵△ADE绕点A顺时针旋转90°到△ABF的位置.∴四边形AECF的面积等于正方形ABCD的面积等于20,∴AD=DC=2,∵DE=2,∴Rt△ADE中,AE==2故选:D.10.如图,⊙P与x轴交于点A(﹣5,0),B(1,0),与y轴的正半轴交于点C.若∠ACB =60°,则点C的纵坐标为()A.+B.2+C.4D.2+2【分析】连接P A,PB,PC,过P作PD⊥AB于D,PE⊥OC于E,根据圆周角定理得到∠APB=120°,根据等腰三角形的性质得到∠P AB=∠PBA=30°,由垂径定理得到AD =BD=3,解直角三角形得到PD=,P A=PB=PC=2,根据勾股定理得到CE===2,于是得到结论.【解答】解:连接P A,PB,PC,过P作PD⊥AB于D,PE⊥OC于E,∵∠ACB=60°,∴∠APB=120°,∵P A=PB,∴∠P AB=∠PBA=30°,∵A(﹣5,0),B(1,0),∴AB=6,∴AD=BD=3,∴PD=,P A=PB=PC=2,∵PD⊥AB,PE⊥OC,∠AOC=90°,∴四边形PEOD是矩形,∴OE=PD=,PE=OD=2,∴CE===2,∴OC=CE+OE=2+,∴点C的纵坐标为2+,故选:B.二.填空题(共6小题)11.若二次函数y=ax2+bx的图象开口向下,则a<0(填“=”或“>”或“<”).【分析】由二次函数y=ax2+bx图象的开口向下,可得a<0.【解答】解:∵二次函数y=ax2+bx的图象开口向下,∴a<0.故答案是:<.12.若关于x的一元二次方程2x2﹣x+m=0有两个相等的实数根,则m的值为.【分析】根据“关于x的一元二次方程2x2﹣x+m=0有两个相等的实数根”,结合根的判别式公式,得到关于m的一元一次方程,解之即可.【解答】解:根据题意得:△=1﹣4×2m=0,整理得:1﹣8m=0,解得:m=,故答案为:.13.小蕾有某文学名著上、中、下各1册,她随机将它们叠放在一起,从上到下的顺序恰好为“上册、中册、下册”的概率是.【分析】画出树状图得出所有情况,让从左向右恰好成上、中、下的情况数除以总情况数即为所求的概率.【解答】解:画树状图如图:共有6个等可能的结果,从上到下的顺序恰好为“上册、中册、下册”的结果有1个,∴从上到下的顺序恰好为“上册、中册、下册”的概率为;故答案为:.14.如图所示,AB是⊙O的直径,弦CD⊥AB于H,∠A=30°,CD=2,则⊙O的半径是2.【分析】连接BC,由圆周角定理和垂径定理得出∠ACB=90°,CH=DH=CD=,由直角三角形的性质得出AC=2CH=2,AC=BC=2,AB=2BC,得出BC=2,AB=4,求出OA=2即可.【解答】解:连接BC,如图所示:∵AB是⊙O的直径,弦CD⊥AB于H,∴∠ACB=90°,CH=DH=CD=,∵∠A=30°,∴AC=2CH=2,在Rt△ABC中,∠A=30°,∴AC=BC=2,AB=2BC,∴BC=2,AB=4,∴OA=2,即⊙O的半径是2;故答案为:2.15.如图,在一块长12m,宽8m的矩形空地上,修建同样宽的两条互相垂直的道路(两条道路各与矩形的一条边平行),剩余部分栽种花草,且栽种花草的面积为77m2,设道路的宽为xm,则根据题意,可列方程为(12﹣x)(8﹣x)=77.【分析】把所修的两条道路分别平移到矩形的最上边和最左边,则剩下的部分是一个长方形,根据长方形的面积公式列方程.【解答】解:∵道路的宽应为x米,∴由题意得,(12﹣x)(8﹣x)=77,故答案为:(12﹣x)(8﹣x)=77.16.如图,将△ABC绕点C逆时针旋转得到△A′B′C,其中点A′与A是对应点,点B′与B是对应点,点B′落在边AC上,连接A′B,若∠ACB=45°,AC=3,BC=2,则A′B的长为.【分析】由旋转的性质可得AC=A'C=3,∠ACB=∠ACA'=45°,可得∠A'CB=90°,由勾股定理可求解.【解答】解:∵将△ABC绕点C逆时针旋转得到△A′B′C,∴AC=A'C=3,∠ACB=∠ACA'=45°∴∠A'CB=90°∴A'B==故答案为三.解答题(共9小题)17.x为何值时,两个代数式x2+1,4x+1的值相等?【分析】根据题意列出方程,利用因式分解法求解可得.【解答】解:由题意知x2+1=4x+1,整理,得:x2﹣4x=0,∵x(x﹣4)=0,∴x=0或x﹣4=0,解得x=0或x=4.答:当x=0或x=4时,两个代数式x2+1,4x+1的值相等.18.已知:在△ABC中,AB=AC.(1)求作:△ABC外接圆(要求:尺规作图,保留作图痕迹,不写作法)(2)若△ABC的外接圆的圆心O到BC边的距离为4,BC=6,则S⊙O=25π.【分析】(1)过点A点作BC的垂线,作BC的垂直平分线,它们的交点为O,然后以O 点为圆心,OA为半径作圆即可;(2)连接OB,延长AO交BC于D,如图,设⊙O的半径为r,先判断AD垂直平分BC 得到OD=4,BD=CD=3,然后利用勾股定理计算出OB,从而利用圆的面积公式求解.【解答】解:(1)如图,⊙O为所作;(2)连接OB,延长AO交BC于D,如图,设⊙O的半径为r,∵AB=AC,OB=OC,∴AD垂直平分BC,∴OD=4,BD=CD=3,在Rt△OBD中,OB==5,∴S⊙O=π•52=25π.故答案为25π.19.小明代表学校参加“我和我的祖国”主题宣传教育活动.该活动分为两个阶段,第一阶段有“歌曲演唱”、“书法展示”、“器乐独奏”3个项目(依次用A、B、C表示),第二阶段有“故事演讲”、“诗歌朗诵”2个项目(依次用D、E表示),参加人员在每个阶段各随机抽取一个项目完成.用画树状图或列表的方法列出小明参加项目的所有等可能的结果,并求小明恰好抽中B、D两个项目的概率.【分析】画树状图得出所有等可能结果,从中找到符合条件的结果数,再根据概率公式计算可得.【解答】解:画树状图如下由树状图知共有6种等可能结果,其中小明恰好抽中B、D两个项目的只有1种情况,所以小明恰好抽中B、D两个项目的概率为.20.2019年1月14日,国新办举行新闻发布会,海关总署新闻发言人李魁文在会上指出:在2018年,我国进出口规模创历史新高,全年外贸进出口总值为30万亿元人民币.有望继续保持全球货物贸易第一大国地位.预计2020年我国外贸进出口总值将达36.3万亿元人民币.求这两年我国外贸进出口总值的年平均增长率.【分析】根据a(1﹣x)2=b增长率公式建立方程30(1+x)2=36.3,解方程即可.【解答】解:设平均增长率为x,根据题意列方程得30(1+x)2=36.3解得x1=0.1,x2=﹣2.1(舍)答:我国外贸进出口总值得年平均增长率为10%.21.关于x的一元二次方程x2﹣3x+k=0有实数根.(1)求k的取值范围;(2)如果k是符合条件的最大整数,且一元二次方程(m﹣1)x2+x+m﹣3=0与方程x2﹣3x+k=0有一个相同的根,求此时m的值.【分析】(1)利用判别式的意义得到△=(﹣3)2﹣4k≥0,然后解不等式即可;‘(2)利用(1)中的结论得到k的最大整数为2,解方程x2﹣3x+2=0解得x1=1,x2=2,把x=1和x=2分别代入一元二次方程(m﹣1)x2+x+m﹣3=0求出对应的m,同时满足m﹣1≠0.【解答】解:(1)根据题意得△=(﹣3)2﹣4k≥0,解得k≤;(2)k的最大整数为2,方程x2﹣3x+k=0变形为x2﹣3x+2=0,解得x1=1,x2=2,∵一元二次方程(m﹣1)x2+x+m﹣3=0与方程x2﹣3x+k=0有一个相同的根,∴当x=1时,m﹣1+1+m﹣3=0,解得m=;当x=2时,4(m﹣1)+2+m﹣3=0,解得m=1,而m﹣1≠0,∴m的值为.22.如图所示,已知抛物线y=x2+bx+c经过点A(﹣1,0),B(5,0).(1)求抛物线的解析式并写出顶点M的坐标;(2)若点C在抛物线上,且点C的横坐标为8,求四边形AMBC的面积.【分析】(1)列出交式即可求得;(2)根据S四边形AMBC=S△ABM+S△ABC即可求解.【解答】解:(1)∵抛物线y=x2+bx+c经过点A(﹣1,0),B(5,0).∴函数的表达式为:y=(x+1)(x﹣5)=(x2﹣4x﹣5)=x2﹣x﹣,点M坐标为(2,﹣3);(2)当x=8时,y=(x+1)(x﹣5)=9,即点C(8,9),因为AB=5+1=6,且△ABM、△ABC的高分别是点M、点C纵坐标的绝对值,所以S四边形AMBC=S△ABM+S△ABC=+=36.23.如图,AB是⊙O的弦,过点O作OC⊥OA,OC交AB于P,CP=BC.(1)求证:BC是⊙O的切线;(2)已知∠BAO=25°,点Q是上的一点.①求∠AQB的度数;②若OA=18,求的长.【分析】(1)连接OB,根据等腰三角形的性质得到∠OAB=∠OBA,∠CPB=∠PBC,等量代换得到∠APO=∠CBP,根据三角形的内角和得到∠CBO=90°,于是得到结论;(2)①根据等腰三角形和直角三角形的性质得到∠ABO=25°,∠APO=65°,根据三角形外角的性质得到∠POB=∠APO﹣∠ABO=40°,根据圆周角定理即可得到结论;②根据弧长公式即可得到结论.【解答】(1)证明:连接OB,∵OA=OB,∴∠OAB=∠OBA,∵PC=CB,∴∠CPB=∠PBC,∵∠APO=∠CPB,∴∠APO=∠CBP,∵OC⊥OA,∴∠AOP=90°,∴∠OAP+∠APO=90°,∴∠CBP+∠ABO=90°,∴∠CBO=90°,∴BC是⊙O的切线;(2)解:①∵∠BAO=25°,∴∠ABO=25°,∠APO=65°,∴∠POB=∠APO﹣∠ABO=40°,∴∠AQB=(∠AOP+∠POB)=130°=65°;②∵∠AQB=65°,∴∠AOB=130°,∴的长=的长==23π.24.如图1,△ABC中,CA=CB,∠ACB=α,D为△ABC内一点,将△CAD绕点C按逆时针方向旋转角α得到△CBE,点A,D的对应点分别为点B,E,且A,D,E三点在同一直线上.(1)填空:∠CDE=(用含α的代数式表示);(2)如图2,若α=60°,请补全图形,再过点C作CF⊥AE于点F,然后探究线段CF,AE,BE之间的数量关系,并证明你的结论;(3)若α=90°,AC=5,且点G满足∠AGB=90°,BG=6,直接写出点C到AG 的距离.【分析】(1)由旋转的性质可得CD=CE,∠DCE=α,即可求解;(2)由旋转的性质可得AD=BE,CD=CE,∠DCE=60°,可证△CDE是等边三角形,由等边三角形的性质可得DF=EF=,即可求解;(3)分点G在AB的上方和AB的下方两种情况讨论,利用勾股定理可求解.【解答】解:(1)∵将△CAD绕点C按逆时针方向旋转角α得到△CBE ∴△ACD≌△BCE,∠DCE=α∴CD=CE∴∠CDE=故答案为:(2)AE=BE+CF理由如下:如图,∵将△CAD绕点C按逆时针方向旋转角60°得到△CBE∴△ACD≌△BCE∴AD=BE,CD=CE,∠DCE=60°∴△CDE是等边三角形,且CF⊥DE∴DF=EF=∵AE=AD+DF+EF∴AE=BE+CF(3)如图,当点G在AB上方时,连接CG,过点C作CE⊥AG于点E,∵∠ACB=90°,AC=BC=5,∴∠CAB=∠ABC=45°,AB=10∵∠ACB=90°=∠AGB∴点C,点G,点B,点A四点共圆∴∠AGC=∠ABC=45°,且CE⊥AG∴∠AGC=∠ECG=45°∴CE=GE∵AB=10,GB=6,∠AGB=90°∴AG==8∵AC2=AE2+CE2,∴(5)2=(8﹣CE)2+CE2,∴CE=7(不合题意舍去),CE=1若点G在AB的下方,过点C作CF⊥AG'于F,连接CG’∵∠ACB=90°,AC=BC=5,∴∠CAB=∠ABC=45°,AB=10∵∠ACB=90°=∠AGB∴点C,点G',点B,点A四点共圆∴∠AG'C=∠ABC=45°,且CE⊥AG'∴∠AG'C=∠ECG'=45°∴CF=G'F∵AB=10,G'B=6,∠AG'B=90°∴AG'==8∵AC2=AF2+CF2,∴(5)2=(8﹣CF)2+CF2,∴CF=7或CF=1(不合题意舍去),∴点C到AG的距离为1或7.25.已知抛物线y=2x2+(b﹣2)x+(c﹣2020)(b,c为常数).(1)若抛物线的顶点坐标为(1,1),求b,c的值;(2)若抛物线上始终存在不重合的两点关于原点对称,求c的取值范围.(3)在(1)的条件下,存在正实数m,n(m<n),当m≤x≤n时,恰好,求m,n的值.【分析】(1)利用抛物线的顶点坐标和二次函数解析式y=﹣2x2+(b﹣2)x+(c﹣2020)可知,y=﹣2(x﹣1)2+1,易得b、c的值;(2)设抛物线线上关于原点对称且不重合的两点坐标分别是(x0,y0),(﹣x0,﹣y0),代入函数解析式,经过化简得到c=2x02+2020,易得c>2020;(3)由题意知,抛物线为y=﹣2x2+4x﹣1=﹣2(x﹣1)2+1,则y≤1.利用不等式的性质推知:≤y,易得1≤m<n.由二次函数图象的性质得到:当x=m时,y最大值=﹣2m2+4m﹣1.当x=n时,y最小值=﹣2n2+4n﹣1.所以,通过解方程求得m、n的值.【解答】解:(1)∵抛物线y=2x2+(b﹣2)x+(c﹣2020)(b,c为常数)的顶点坐标为(1,1),抛物线解析式是:y=﹣2(x﹣1)2+1=﹣2x2+4x﹣1.∴.∴b=6,c=2019.(2)设抛物线线上关于原点对称且不重合的两点坐标分别是(x0,y0),(﹣x0,﹣y0),代入解析式可得:.∴两式相加可得:﹣4x02+2(c﹣2020)=0.∴c=2x02+2020,∴c>2020;(3)由(1)可知抛物线为y=﹣2x2+4x﹣1=﹣2(x﹣1)2+1.∴y≤1.∵0<m<n,当m≤x≤n时,恰好,∴≤y.∴≤1,即m≥1.∴1≤m<n.∵抛物线的对称轴是x=1,且开口向下,∴当m≤x≤n时,y随x的增大而减小.∴当x=m时,y最大值=﹣2m2+4m﹣1.当x=n时,y最小值=﹣2n2+4n﹣1.又≤y,∴.将①整理,得2n3﹣4n2+n+1=0,变形,得2n2(n﹣1)﹣(2n+1)(n﹣1)=0.∴(n﹣1)(2n2﹣2n﹣1)=0.∵n>1,∴2n2﹣2n﹣1=0.解得n1=(舍去),n2=.同理,由②得到:(m﹣1)(2m2﹣2m﹣1)=0.∵1≤m<n,∴2m2﹣2m﹣1=0.解得m1=1,m2=(舍去),m3=(舍去).综上所述,m=1,n=.。
2020.4广外外校八下英语年中考
2020初二年级英语试卷第一部分:听力〔略〕第二部分:笔试部分一.单项选择〔共10小题,每题1分,总分值10分〕16.What _______ you ______ at 3p.m. yesterday?A.do,doB.are,doingC.did,doD.were,doing17.Dear,the sofa feels ______.It is comfortable _____.A.hard;to sit inB.hardly;sitting inC.soft;to sit inD.softly;sitting18.Do you know ________ the manager wants to offer him the job or not?A.howB.ifC.weatherD.whether19._______ the sun was shinning,_______ I took an umbrella in case.A.Although;butB./;althoughC.Although;/D.But;although20.---Mrs Wang,you are _____ as a teacher.Could you tell me the secret of your ____? ---Nothing special.Just work hard.A.success;successfullyB.successfully;successC.successful;successD.success;successful21.After seeing a ______ snake,the children in the room were all ______ to death.A.frighten,frighteningB.frightening,frightenedC.frightened,frighteningD.frightened,frightened22.---What did Paul say to you just now?---He asked me ________A.when did I go to the zooB.when I go to the zooC.when I went to the zooD.when will I go to the zoo23.I heard that you went to Beijing.What’s your ______ of it?A.planB.impressionC.problemD.decision24.______I got home ,my mother _______.A.When;cookedB.While;are cookingC.When;was cookingD.While;was cooking25.The film is boring.I don’t think it is worth ______.A.to seeB.to seeingC.seeD.seeing二:语法填空〔共10分,每题1分〕阅读下面短文,按照句子结构的语法性和上下文连贯的要求,从26-35每题的A、B、C和D项中,选出最正确选项,并在答题卡上将该项涂黑。
广外外校小升初数学真题
广外外校小升初数学真题Standardization of sany group #QS8QHH-HHGX8Q8-GNHHJ8-HHMHGN#广州广外附设外语学校入学测试试卷时间:60分钟,满分100分一、填空。
(每小题2分,共14分)1、甲、乙是两个不为0的自然数,如果甲数的4132等于乙数的,那么甲、乙两数之和的最小值是( )。
2、如图,阴影部分的面积与整个图形的面积的最简整数比是( )。
3、小华看一本书,第一天看全书的,,第二天看全书的91181以后每天看的是前几天的页数之和,他在第( )看完这本书。
4、一个长方体的长、宽、高分别是a 米、b 米、h 米。
如果高增加5米,那么表面积比原来增加( )平方米,体积增加多少( )立方米。
5、有白、红、黑三种颜色的球。
白球、红球合在一起共10个,红球、黑球合在一起共7个;黑球、白球合在一起共5个,最多的一种颜色的球有( )个。
6、小明对数学成绩进行测试,如果下次数学考100分,那么几次的平均分是91分,如果下次数学考80分,则几次的平均分只有86分,小明的数学成绩统计表已有( )次的成绩。
7、用小棒按照如下方式摆图形。
摆8根小棒,摆2n 个八边形需要( )根小棒。
二、选择。
(填序号字母,每小题3分,共15分) 1、下面的三个图形,( )的周长相等。
A 、图形和 B 、图. . . . . .(1) (2) (3)形和 C 、图形和 D 、都不相等2、在有余数的除法中,除数b,商是c(b 、c 都不等于0),被除数最大是( )。
A 、bcB 、bc-1C 、bc+bD 、bc+b-13、下图正方体、圆柱体和圆锥体的底面积相等,高也相等,下面说法正确的是( )。
A 、圆锥的体积是正方体体积的三分之一B 、圆锥的体积是圆柱体积的3倍C 、圆柱的体积比正方体的体积小一些D 、圆柱的体积比正方体的体积大一些4、从49名学生中选一名班长,小红、小明和小华为候选人,统计37票后的结果是:小红15票,小明10票,小华12票,小红至少再得( )张票才能保证票数最多当选为班长。
2020年广东省深圳外国语学校小升初入学考试数学模拟试卷及答案解析
2020年广东省深圳外国语学校小升初入学考试数学模拟试卷一.选择题(共6小题,满分18分,每小题3分)
1.(3分)如图是甜甜从家出发到莲花山公园去玩再返回的图,根据图中的信息,下面说法错误的是()
A.甜甜家距莲花山公园6千米
B.甜甜在去的路上休息了20分钟
C.甜甜在莲花山公园玩了1小时
D.甜甜返回时的速度是18千米/小时
2.(3分)图中,一共有()条线段.
A.5B.10C.14
3.(3分)从图可看出书店在学校的()方向上.
A.东偏北25°B.北偏东25°C.西偏南65°D.南偏西65°4.(3分)如果在△ABC中,∠A:∠B:∠C=1:2:3,则BC:AC:AB等于()A.1:2:3B.1:2:C.1::2D .:1:2 5.(3分)图是一个长3厘米、宽和高都是2厘米的长方体.将它挖掉一个棱长1厘米的小正方形,它的表面积()
第1页(共14页)。
外国语学校初中入学测试卷含答案
外国语学校初中新生英语能力入学检测(附答案)I. Listen to the sentences. Then choose the right answer to each sentence. Each sentence will be read only once. 选出能够最恰当回答所听句子的选项.每个句子只读一遍.10’( ) 1. A. He is very well. B. He is 70 years old.C. He likes me very much.D. He is at home now.( ) 2. A. It’s 6. B. It’s 20. C. It’s 91. D. It’s 19.( ) 3. A. You are welcome. B. Sorry. I don’t know.C. Thank you.D. Don’t go with me.( ) 4. A. It’s big. B. The hat is very nice. C. Yes, it is. D. No, it isn’t.( ) 5. A. They are in the sky. B. Only four.C. They are for you.D. I know they are yours.Ⅱ You will hear a passage. Choose the best answer to each question. The passage will be read twice. 根据你所听到的短文内容,选择最佳答案回答下列问题.短文读两遍.5’( )6. Where did Gina studyA. No. 8 Middle School.B. No. 9 Middle School.C. No. 18 Middle School.D. No. 6 Middle School.( )7. What’s Gina’s favourite roomA. The bedroom.B. The sitting room.C. The classroom.D. The dining room.( )8. What’s next to the bedA. A big door.B. A small table.C. A white chair.D. A cupboard.( )9. What is NOT in the bedroom( )10. What colour is the wall of the roomA. Green.B. Orange.C. Blue.D. White.笔试部分一根据所给单词或汉语提示填写单词的适当形式10’11. My bags are here. Where are __________(she)12. His _________ names are Bush and Mary. (grandparent)13. You should do your homework__________(one), Danny.14. Li Ming, what about_________(跑步) to school15. The girls are dancing_________(happy) under the old tree.16 Can you see those____(警察)over there17. The boys are reading the __________(interest) book, Harry Potter II.18. My school has two _____________. (library)19. Carry the _________(shop) basketball with you, Sandy.20. How many________(people) are there in front of the supermarket二选出与划线部分意义相同或相近的词或短语.10’( )21. Do you think Li Lei is at home A. in B. on C. to( )22. Thanks very much. A. a lot of B. a lot C. lots of ( )23. I'm fine, too. Thank you. A. good C. nice( )24. Here is a picture of my family. A. map B. book C. photo( ) Yan is one of my good friends.A. one friend of my good friendsB. a good friend of mineC. one good friend of mine三选择题20’( )26. 书写上没有错误又合乎英语表达习惯的句子是 ___.A. can you give me your addressB. “Snow White” is an interesting story.C. This’s Peter’s wife she is in t he jeep.D. There are some tomatoes, cakes, carrots and bread in the kitchen.( )27. There is ___ “s” and ___ “u” in ___ word “bus”.A. a; an; aB. an; an; aC. an; a; theD. a; a; the( )28. “I have a brother.” “Who does he look like” “___”A. He is short.B. He likes my father.C. He looks like my mother.D. He is ten.( )29. “___ do you like The yellow one ___ the white one” “The yellow one.”A. Which; orB. What; andC. What colour; butD. Whose; also( )30. “ ” means we shouldn’t make noise h ere.A. Keep quietB. Keep off the grassC. No smokingD. No parking( )31 Is there any ___________in the boxjuices juice juice juices( )32. —Don’t forget to close the window.---_______________.A. Yes, I won’t.B. No, I will.C. Yes, I will.D. No, I won’t.( )33. Let’s ___ clean the room with ___.A. goes to; theyB. going to; themC. go and; theyD. go to; them( )34. —What’s in the box —There a pair of glasses.A. amB. isC. areD. be( )35. “Hello458-6777.” “Hello ___” “Yes, please hold on.”A. May I speak to JackB. Jack isn’t in.C. What can I do for youD. What’s your name四用每小题后所给动词的正确形式填空.5’36. ---________ Meimei ______(get) up at six o’clock in the morning---Yes, she does.37. Would he like ___________ the football game with us (watch)38. She likes this piece of music because it ___________ great. (sound)39. The light is red. We can’t ___________ the road now. (cross)40. Lily ___________ at home now. (not be)五阅读理解A) 快速判断:正确的写T,错误的写F 10’Many people are waiting for the train. Some are reading the newspaper and some are saying goodbye to their friends.Mr. Wang, and Mr Chen are talking so happily that they don’t know the train is going to leave. The guard says to them, “Hurry up The train is going to leave.” The three men hear the guard. Two of them jump onto the train quickly before it moves. Mr. Wang is left behind. He looks very sad. The guard says to him, “Don’t feel bad. The next train will come in ten minutes.” “ I know,” Mr. Wang says, “It is my train . My friends only come to say goodbye to me.”( )41. Mr. Wang ,Mr. Li and Mr. Chen are talking at the station.( )42. There are only three men at the station.( )43. Mr. Wang jumps onto the train.( )44. Mr. Chen and Mr. Li are Mr. Wang’s friends.( )45. Mr. Chen and Mr. Li really want to jump onto the train.B) 根据对话及图片内容,选择正确答案.10’Saleswoman:Can I help youJim:Oh, yes. How much is this T-shirtSaleswoman:It’s only $.Jim:Really Is it on saleSaleswoman:Yes. It’s usually $. But only at the weekends, everything is at a very good price.Jim:OK. I’ll take two T-shirts for my twin sons.Saleswoman:What colour do they likeJim:Blue.Saleswoman:Oh, I’m so sorry. We haven’t any blue ones left. How about the green onesJim:All right. Here’s the money.Saleswoman:Thanks. Here’s your change.( )46. Two sweaters are ___ on Monday.A. $B. $C. $D. $( )47. The meaning of the phrase “on sale” is ___.A. 减价销售B. 正常营业C. 非卖品D. 高价回收( )48. They are talking ___.A. in a shopB. at homeC. in a schoolD. in a hospital( )49. At last (最后) Jim buys two ___ for his sons.A. blue sweatersB. green T-shirtsC. white jeansD. yellow skirts( )50. If Mary buys three ___ on Saturday here, they will cost her $.A. sweatersB. T-shirtsC. skirtsD. jeans六根据短文的意思及首字母的提示填写单词的正确形式,每空填一词.10’Sue has a cat. She likes playing w 51 _ it at home. But she’s seven now and her father tells her to go to school. The teacher does not let her t 52 the cat into the classroom.. She has to leave it at home, s__ 53 _ she isn’t happy. She doesn’t wa nt to go to s 54 and listen to her teacher. Now Class Three are having a math l 55 . Mr Green sees that Sue is l 56 out of the window. He a 57 Sue, “What’s two and two, Sue” Sue stands up, but she can’t answer the q 58 . “If your mother gives you two pencils,” Mr Green says, “and I give you two, how many pencils do you have” “Five, Mr Green.”“You’re w___59___,” Mr Green says. “You have four.” “I d 60 think so,” Sue says. “I already(已经)have one in my pencil case”七. 趣味题10’按要求完成下列各题.61 Jack finds a good job. He is over the moon about it.Read the sentence and guess the meaning of “over the moon”.(You must answer it in English.)62. The word SEASON is written in code (代码) as 135146. What’s the code of word NOSE63. Look at the picture Each of the Strickland brothers has a sister. Altogether, how many kids are there in the family64. Fill in the crossword so that all the missing words (acts, flag, food, oats) are included(包括). You have been given one letter from a word as a clue (线索).65. Each cube is a view of the same cube (每个方块为同一个方块的五个不同角度的图示). What are the two missing numbers a b参考答案听力原稿Part. I Sentences1. Where’s your grandfather2. What’s thirteen minus seven3. Your sharpener is very beautiful.4. Is this hat small or big5. How many purple kites do you havePart II. PassagesA) You will hear a passage. Choose the best answer to each question. The passage will be read twice.I’m Gina. I was a student in middle School but Now I am in No. 8 Middle School. My favourite room is my bedroom. In the room there is a bed and next to the bed there is a small table with a small alarm clock on it. There is a big cupboard next to the door. I put my clothes in it. Near the window there is a big table with two white chairs. There are some flowers and a telephone on the table. Oh, look at the wall of the room, it is blue. It is my favourite colour. I like this room very much.听力部分I.句子理解(Sentences) 10’ 1—5 DACABII. 短文理解(Passage) 5’ 6—10 CABDC笔试部分(一根据所给单词或汉语提示填写单词的适当形式10’11—20 Hers, grandparents’ ,first, running, happily, policemen, interesting, libraries, shopping, people二选出与划线部分意义相同或相近的词或短语.10’21—25 AB三选择题20’26—30 DCCAA 31—35 BDDBA四用每小题后所给动词的正确形式填空.5’36—40 Does…get , to watch, sounds, cross, isn’t五阅读理解A) 快速判断:正确的写T,错误的写F 10’41—45 TFFTFB) 根据对话及图片内容,选择正确答案.10’46—50 CAABC六根据短文的意思及首字母的提示填写单词的正确形式,每空填一词.10’51—60 with, take, so, school, lesson, looking, asks, question, wrong, don’t七. 趣味题10’61. very happy (很高兴)62. 6413 (根据代表SEASON中每个字母的数字得出)63. Five / 564.65. (a) 5 (b) 3。
广州外国语学院2020学年七年级下册开学考数学试卷及答案
2020学年七年级开学考数学试卷本试卷共4页,23小题,满分100分。
考试用时90分钟。
一、单选题(本大题共10小题,每小题2分,共20分) 1.如果把收入100元记作+100元,那么支出80元记作( ) A .﹣80元B .+100元C .+80元D .-20元2.下列算式中,运算结果为负数的是( ) A .(2)B .2-C .22-D .2(2)-3.中国倡导的“一带一路”建设将促进我国与世界各国的互利合作,根据规划“一带一路”地区覆盖总人口约为4500000000人,这个数用科学记数法表示为( ) A .84510⨯B .94.510⨯C .84.510⨯D .104.510⨯4.下列运用等式的性质对等式进行的变形中,不正确...的是( ) A .若a b =,则0a b -= B .若a b =,则ac bc = C .若a bc c =,则a b = D .若a b =,则1ab= 5.如图是一个正方体的展开图,则“学”字的对面的字是( ) A .核B .心C .素D .养6.如图所示,OA 是北偏东30°方向的一条射线,若∠AOB =90°,则OB 的方位角是( ) A .北偏西30° B .北偏西60°C .北偏东30°D .北偏东60°第5题 第6题 第8题 7.若关于x 的方程5m+3x =2的解是x =1,则m 的值是( ) A .15B .15-C .1D .08.a ,b 两数在数轴上的位置如图,则下列不正确的是( ) A .a +b <0B .a b <0C .a -b <0D .0ab< 9.将进价为120元一盒的某品牌粽子按标价的8折出售,仍可获利20%,则该超市该品牌粽子的标价为( )元 A .180B .170C .160D .15010.一列数,按一定规律排列:-1,3,-9.27,-81,…,从中取出三个相邻的数,若三个数的和为a ,则这三个数中最大的数与最小的数的差为( ) A .87a B .87|a | C .127|a | D .127a二、填空题(本大题共6小题,每小题3分,共18分) 11.如果单项式1b xy +-与2312a x y -是同类项,那么()2019ab -= ________. 12.已知2x 3x 5++的值为11,则代数式23x 9x 12++的值为________.13.某校七年级的数学竞赛中共有30道题,答对一题得5分,不答得0分,答错扣4分,学生小王有5题未答,最后得71分,那么他答对了________题. 14.钟表在7:25时,时针与分针的夹角为________.15.已知C 是线段AB 的中点,AB=10,若E 是直线AB 上的一点,且BE=3,则CE=_______ 16.定义两种新运算,观察下列式子:(1)4x y x y Θ=+,例如,134137Θ=⨯+=; 3(1)43(1)11Θ-=⨯+-= ; (2)[]x 表示不超过x 的最大整数,例如,[]2.22=;[]3.244-=-; 根据以上规则,计算1191()(2)24⎡⎤⎡⎤Θ-+-Θ=⎢⎥⎢⎥⎣⎦⎣⎦________.三、解答题(本大题共7小题,满分62分。
广外外校2019---2020学年第一学期期中考试初一数学试题(无答案)
广外外校2019---2020学年度第一学期期中考试七年级数学试卷考试时间:90分钟满分:120分一、选择题(共10小题,每小题3分,共30分)1.武汉市某一天最高气温是12℃,最低气温是-3℃,那么这一天的最高气温比最低气温高()A.9℃B.15℃C.-9℃D.-15℃2. 数-112, 1.2 , 0 ,-45% ,3.14中,分数的有()个A. 4B. 3C. 2D. 13.下列运算正确的是()A. 2(a-1)=2a-1B. a2+a2=2a2C. -2a2=4D. -(a-b)+c=-a-b+c4.若ab≠0,则||||a ba b+的取值不可能的是()A.2B.0C.-2D.15.下列整式中,不是同类项的是()A. m2n与3×102nm2B. 1与﹣2C. 3x2y和﹣yx2D. a2b与b2a6.下面的说法正确的是( )A.﹣2不是单项式B.不是多项式C.的系数是3 D.﹣a表示负数7、如果|-2a|=-2a,则a的取值范围是()A.a>O B.a≥O C.a≤O D.a<O 8.下列等式变形正确的是( )A.如果4x25.0-=,那么1-=x B.如果12x = 6,那么x = 3C.如果x - 3 = y - 3,那么x - y = 0;D.如果mx = my,那么x = y 9.按照如图所示的操作步骤,若输入x的值为1,则输出的值为()A. 4 B.2 C.-2 D.2810、实数a ,b 在数轴上的对应点如图所示,则下列不等式中错误的是( )A .1<b aB . a +b <0C .ab >0D .a -b <0二、填空题(本大题共6小题,每小题3分,共18分)11. 一个数的相反数的倒数是,这个数是__________.12.三个连续偶数的和为18,设最大的偶数为 x, 则可列方程______.13.若x = -3是方程3(x - a) = 7的解,则a = ________.14.甲、乙两同学进行数字猜谜游戏,甲说一个数a 的相反数是它本身,乙说一个数b 的倒数是它本身,则=___________.15.小明写作业时不慎将墨水滴在数轴上,根据图中的数值,判定墨迹盖住部分的整数共有 个.16. 设[x]表示不超过x 的整数中最大的整数,如:[1.99]=1,[﹣1.02]=﹣2,根据此规律计算:[﹣3.4]﹣[﹣0.6]=__ __.三、解答题(共72分)17.计算题:(每题4分,共8分)(1)|﹣4| + 33 + 1.4×(﹣5) (2)()()()()()232425248-+-⨯---÷-18.解方程(每题4分,共8分)(1) 6 x = 3(x ﹣4) (2) 3x -7(x -1)=3-2(x +3)19. (本题8分)有理数a 、b 在数轴上的对应点如图所示(1) 填空:(填“<”、“>”或“=”)a _________0;b _________0; |a +b |_________|a |+|b |(2) 用“<”将a 、 b 、 -b 、 b1、 0 五个数连接起来(3) 化简:|a +b |-|1-b|=______________20.(本题8分) 回顾多项式的有关概念,解决下列问题(1) 先化简,再求值: ⎪⎭⎫ ⎝⎛--+x x x 3132x 22其中x =﹣2 (4分)(2)已知35414527m n a b pa b a b ++-=-,求m+n -p 的值.(4分)21. (本题8分)如图,将边长为m 的正方形纸板沿虚线剪成两个小正方形和两个矩形,拿掉边长为n 的小正方形纸板后,将剩下的三块拼成新的矩形.(1)用含m 或n 的代数式表示拼成矩形的周长;(2)m =7,n =4,求拼成矩形的面积.22.(本题10分)快递配送员在一直在一条南北走向的街道上送大件快递,如果规定向北为正,向南为负,某天他从出发点开始所行走的路程记录为(单位:千米):-3、-5、+4、+6、+5、-3、-6、-4、(1) 在送快递过程中最远距出发点___________千米(2) 这天送完最后一个快递时,在出发点的什么方向,距离出发点是多少千米?23.(本题10分)观察下面三行数:-1、2、-4、 8、-16、 32、-64、……①0、 3、-3、 9、-15、 33、-63、……②1、-5、 7、-17、31、-65、127、……③(1) 第①行的第8个数是___________,第①行第n个数是___________(用n的式子表示)(2) 取第①、②、③行的第10个数分别记为a、b、c,求a-b+c的值(3) 取每行数的第n个数,这三个数中任意两数之差的最大值为6146,则n=__________24.(12分)已知点A在数轴上对应的数为a,点B对应的数为b,且|a+4| +|b-3| = 0 (1)则a= ,b= ;并将这两数在数轴上所对应的点A、B表示出来;(2)数轴上有一点C到A、B两点的距离和为11,求点C在数轴上所对应的数;(3)若A点,B点同时沿数轴向正方向运动.点A的速度是点B的2倍,且3秒后,2OA=OB,求点B的速度.。
广州广外外校初一入学分班测试卷
. . . . . .(1) (2) (3)广外外校初一入学分班测试卷时间:60分钟,满分100分一、填空。
(每小题2分,共14分)1、甲、乙是两个不为0的自然数,如果甲数的4132等于乙数的,那么甲、乙两数之和的最小值是( )。
2、如图,阴影部分的面积与整个图形的面积的最简整数比是( )。
3、小华看一本书,第一天看全书的,,第二天看全书的91181以后每天看的是前几天的页数之和,他在第( )看完这本书。
4、一个长方体的长、宽、高分别是a 米、b 米、h 米。
如果高增加5米,那么表面积比原来增加( )平方米,体积增加多少( )立方米。
5、有白、红、黑三种颜色的球。
白球、红球合在一起共10个,红球、黑球合在一起共7个;黑球、白球合在一起共5个,最多的一种颜色的球有( )个。
6、小明对数学成绩进行测试,如果下次数学考100分,那么几次的平均分是91分,如果下次数学考80分,则几次的平均分只有86分,小明的数学成绩统计表已有( )次的成绩。
7、用小棒按照如下方式摆图形。
摆1个八边形需要8根小棒,摆2个八边形需要15根小棒,摆n 个八边形需要( )根小棒。
二、选择。
(填序号字母,每小题3分,共15分)1、下面的三个图形,()的周长相等。
①②③A、图形①和②B、图形②和③C、图形①和③D、都不相等2、在有余数的除法中,除数b,商是c(b、c都不等于0),被除数最大是()。
A、bcB、bc-1C、bc+bD、bc+b-13、下图正方体、圆柱体和圆锥体的底面积相等,高也相等,下面说法正确的是()。
A、圆锥的体积是正方体体积的三分之一B、圆锥的体积是圆柱体积的3倍C、圆柱的体积比正方体的体积小一些D、圆柱的体积比正方体的体积大一些4、从49名学生中选一名班长,小红、小明和小华为候选人,统计37票后的结果是:小红15票,小明10票,小华12票,小红至少再得( )张票才能保证票数最多当选为班长。
A、7B、6C、5D、45、如图,平行四边形的面积为24平方厘米,则阴影部分面积是()。
2020年外国语学校初一招生必备试题(三)
2020年外国语学校初一招生必备试题语文(三)基础知识积累及应用部分(25分)一、A、B、C三处,“我”和“自己”用错的是()(3分)(1)老师问我(A):“你为什么迟到了?”自己(B)毫不在乎地说“起晚了”(2)有些人有一种毛病,总以为我(C)的意见才是对的。
二、下列句子中成语使用正确的一项是()(3分)A、大家认为他提出的这条建议很有价值,都随声附和....表示赞成。
B、这些伪劣产品造成的危害骇人听闻....,药品市场非整顿不可。
C、在学习上就应该不耻下问....有不懂的问题就要主动问老师。
D、最近几年,各种各样的电脑学习班越来越多,简直到了汗牛充栋....的地步。
书让我们在华美的诗词中漫步:领略“人生自古谁无死,。
”的爱国情操,懂得朱熹“问渠那得清如许,。
”的人生哲理;享受孟浩然的“开轩面场圃,。
”的怡然自得。
五、名著知识填空。
(5分)《三国演义》中的蜀国军师是家喻户晓的人物,他上知天文,下知地理,成了智慧的象征。
请写出有关他得一个故事名称在我国四大名著中,还有一部作品也塑造了一位足智多谋的军师,这个人物是,他的绰号是,这部作品是《》。
六、照样子,对对子。
(4分)例:万水千山——五湖四海老虎不怕山高——鱼儿不怕水深尺有所长——菜刀越磨越快——好花不浇不盛开——良言一句冬暖——阅读能力检测部分(55分)七、阅读并答题。
(55分)(一)感动是一种养分(10分)①常常有一些无法言说的感动。
②譬如看见一只小鸟,在我的窗台上跳跃盼顾,抖动漂亮的羽毛冲着我叫了那么一声,甚至只有半声,尔后又匆匆飞走。
譬如()。
可就在这一瞬间,我已经深深地感动了。
③其实,生活中让我感动的细节太多了。
看见一个朋友久违的眼神和手势,看见一颗滚动在草叶上的露珠被风摔碎之前的最后一次闪耀,看见一群蚂蚁抬着一只蜜蜂在大地上缓缓行进时所表现出的那种小心谨慎与肃穆庄严……总之,感动我的有时是一种声音,一种复杂的隐喻了生命幻象的声音;有时是一种色彩,一种沉重的、负载了诸多情感信息的色彩;有时是一种状态,一种含蓄的、超越了明示话语的状态。
广东省广州外国语学校2020-2021学年七年级下学期开学考试英语试题
广东省广州外国语学校2020-2021学年七年级下学期开学考试英语试题学校:___________姓名:___________班级:___________考号:___________一、单项选择1.—Look! A bee is flying to a flower.—It’s not a bee. It is a kind of tiny bird.A.very big B.very small C.very smart2.—Do you know how to operate the VR Integrated Machine(VR 一体机)?—It is new to me. Let’s read the instructions.A.control B.produce C.compare 3.—What’s your mother’s job?—My mother works as a teacher and I am so proud of her.A.works for B.is C.wants to be4.— What is the price of the new cell phone?— It is 3000 yuan. I think it is much cheaper and better than Iphone.A.How much B.How many C.How oftenA.pities B.prefers C.lovesA.advise B.ways C.adviceA.in place of B.in addition to C.except8.To ________ people is to make them pleased by giving them what they want.A.support B.satisfy C.amaze9.— Which of the two magazines will you take?— I will take ________ though I find ________ of them are very useful to me.A.both, both B.both, neither C.either, both10.A(n) ________ is an unusual exciting or dangerous experience.A.advantage B.risk C.adventure11.—________ you usually late for school?—No, ________.A.Do; I am B.Does; not C.Are; I’m not D.Are; I aren’t 12.It ________ me only ten minutes ________ to school. My house is next to it.A.takes, getting B.spends; to get C.costs; to go D.takes; to get 13.Will ________ a hospital near here next year?A.there has B.there be C.there have D.there is 14.—What are you going to do this afternoon?—I will play basketball if it _________.A.isn’t rain B.rains C.won’t rain D.doesn’t rain 15.The club I ________ and their club will work together to ________ the competition against the team from Beijing.A.joined in; take part in B.attended; joinC.joined; take part in D.attended; join in16.Would you please show me ________ pair of shoes? I don’t like this one.A.other B.the other C.another D.others 17.Ben works ________ for his test to the USA, so he ________ does exercise these days.A.hard; hard B.hardly; hardly C.hardly; hard D.hard; hardly 18.I have many friends. ________ are outgoing, ________ are shy.A.Some; others B.Some; another C.Some; other D.Some; the other 19.I don’t know these words. I want to ________ in you dictionary.A.look up it B.look it up C.look up them D.look them up 20.Li Ming often helps his mother ________ her housework.A.do B.doing C.to doing D.about二、完形填空The books in David's schoolbag felt like bricks as he ran down the street. What heDavid stepped out of the toilet and stopped in 26 — the library lights were off. The place was empty. The doors had been shut. They couldn't be opened from the inside, He was trapped— in a library! He tried to 27 a telephone call, but was unable to get through. What's worse, the pay phones were on the outside of the building. As the sun began to set, he searched for a 28 and found one luckily.At last he could see. David wrote on a piece of paper, "Help! I'm TRAPPED inside!" and stuck it to the glass door. 29 , someone passing by would see it.He was surprised to discover that this place was not so unpleasant after all. Rows and rows of shelves held books, videos and music. He 30 a book about Michael Jordan and took it off the shelf. He settled into a chair and started to read.He knew he had to wait, but now, that didn't seem to be such a bad thing.21.A.but B.because C.or D.since 22.A.ever B.nearly C.never D.often 23.A.pass B.drop C.carry D.take 24.A.during B.after C.over D.before 25.A.rest B.break C.walk D.stop 26.A.delight B.anger C.surprise D.eagerness 27.A.make B.get C.use D.pick 28.A.cake B.book C.light D.pen 29.A.Surely B.Thankfully C.Truly D.Gradually 30.A.read B.grabbed C.got D.saw三、阅读单选“How was school today?” Ethan’s mom asked as he climbed into the car. “Fine,” Ethan answered.“What did you do?” she tried to start a conversation.“Nothing.” Ethan answered and turned his attention to his phone.Ethan’s mom sighed. “Your grandmother and I used to have actual conversations.” “Huh?” Ethan wasn’t really listening.“Nothing.” his mother said sadly.Ten minutes later, Ethan finally looked up from his phone. “What are we doing here?”he asked, noticing they were at an unknown supermarket.“Grandma is coming over for dinner tonight and we need to buy something for her favorite strawberry cheesecake. I thought you could help me make it.”Ethan hated shopping, and he would play his favorite video game rather than bake for a whole afternoon. However, he knew his grandmother would love the cheesecake, so he agreed unwillingly.Surprisingly, Ethan realized that he enjoyed shopping and he was also having fun in the kitchen helping his mom after they got home. While all of this was happening, the two actually talked, and Ethan remembered several interesting things from school.It was great to see his grandmother again at dinner too. The last time they met was several weeks ago, and he realized that he had a lot to tell her.“Wow, Ethan, I don’t think I’ve heard you speak this much in a long time,” Ethan’s mom smiled.“Well, when you were Ethan’s age, Norah,” Ethan’s grandmother said gently to his mother, “you used to spend your whole life in your room!” Ethan’s mother turned pink, “That’s not true, mom!”“In fact,” Ethan’s grandmother winked at Ethan, “I had to get her to help me make this very cheesecake to even get her to talk to me.”From the other side of the room, Ethan’s phone was ringing. But Ethan realized that this conversation with his mother and grandmother was much more interesting.31.Ethan’s grandmother got his mother to talk by ________.A.buying a new phone B.having a big dinnerC.making cheesecake together D.going to the supermarket32.What can we learn from the passage?A.Ethan had an unpleasant day at school that day.B.Ethan expected to go shopping on his way home.C.Ethan started real conversations with his family at last.D.Ethan often made strawberry cheesecake with his grandma.33.What does the writer want to tell us?A.Using cell phones too often is not good for our health.B.Learning to cook can help us keep in touch with friends.C.Spending more time playing with elders can be interesting.D.Enjoying activities together can help family members become closer.My grandfather was rich but did not have any sense of responsibility. Three out of his four sons including my father were uneducated and affected by alcoholism. They also had this false sense of pride that created this feeling of shame in doing small jobs. So by the time I gained conscience, we were shit poor. Getting bread with some vegetables on the plate, twice a day, was a dream. From early age, I used to work on farms with my mother. After 9, I started working at a whole lot of places before I entered high school.I used to get old books from my cousin, Pappu, who was one class ahead of me in school.I was above average in my class. But all that work for food, bad neighborhood, and lack of resources (time, stationery, school uniform etc.) affected my education badly. By the time I came in 10th Grade, I got 46% marks in the exams. But my failure was actually a gift. My friend-circle was gone and everything was meaningless to me. I had that talk with myself that made me realize that nothing mattered except a good education. One of my uncles guided me in this tough time.Poverty made me rock solid. When people are usually scared about something, I drink some tea and carry on. While so many people around me feel ashamed to talk to rickshaw pullers (黄包车夫),it gives me much pleasure to talk to them. I speak politely with rickshaw pullers, farmers, waiters and all those people trying to earn a living in tough economy. I think they are hard-working people. Still, I think carefully about buying costly devices, drinking a lot, and doing something useless to impress my "friends".That doesn't mean I am a miser. For me, only few things are worth my hard-earned money. For example, I am living at a great place for which I pay more than average rent because it's so beautiful and peaceful.34.From the passage, we know the author's father ________.A.tried various jobs B.longed for educationC.got a sum of money from his father D.behaved badly at work35.From the second paragraph, we can infer that ________.A.painful experiences made the author know the importance of educationB.the author's success is credited to his family membersC.with great determination, one can make progress graduallyD.the only way to get out of poverty is to focus on improving yourself36.What benefits does the author get from poverty?A.Being optimistic and careful.B.Being responsible and determined.C.Being determined and respectful.D.Being confident and diligent. 37.When dealing with money, the author is ________.A.adventurous B.cautious C.mean D.generousFishing is a popular activity and every fisherman knows the rule: Keep the big ones, throwkeep the smaller ones, they won’t be able to reproduce, and the fish population is in danger.But fishing out the largest fish from a population has an unwanted effect: Over time, fewer adult fish get really big. If only the smaller fish reproduce(繁殖), then future generations become smaller. This is an example of evolution(进化)in action.One scientist, Dr David Conover has spent the last decade studying the effects of the “keep the big ones” rule and if they can be reversed(颠倒).To set up his experiment, Conover and his team caught hundreds of silverside fish and divided them into six groups. For two groups, Conover followed the “keep the large ones” rule and took out the biggest fish. For two other groups, he removed only the small fish. For the last two groups, he removed fish at random (随意的).After five years, he measured the fish in each group. In the two groups where the largest fish were regularly removed, the average fish size was smaller than the average size in the other groups. Here was evolution in action: If only small fish survive to reproduce, then future generations of fish will also tend to be small.For the second five years of his experiment, Conover changed the rules and took fish randomly from each group. At the end of the experiment, he found that the fish that were in the “keep the large ones” group for the first five years had started to get larger again, although he calculated it would take at least 12 years for the fish in that group to return to their original size.In other words, it takes less time to shrink(变小) than it does to recover.38.The underlined word “it” refers to “________”.A.the activity B.the fishC.the rule D.the fisherman39.Why do many people follow the “keep the big ones, throw the small ones back” rule?A.It helps to protect fish numbers.B.It helps to protect fish size.C.It is the custom in most countries.D.They will be punished if they don’t.40.What did Conover find after the first five years of his experiment?A.The “keep the big ones” rule made no difference to fish size.B.The “keep the big ones” rule made fish smaller on average.C.The “keep the big ones” rule made the fish bigger on average.D.The “keep the big ones” rule affected all fish populations in the same way. 41.What is the author’s intention in writing this article?A.To encourage people to fish more carefully.B.To urge governments to change the rules of fishing.C.To describe the results of a scientific experiment.D.To introduce the rules of fishing to readers.This is the holiday season in the United States. People are buying gifts and carrying them home, usually in plastic shopping bags. They are only a small amount of the huge number of disposable plastic bags that are used all year long to contain groceries and other items.Janet Larsen, director of the Earth Policy Institute in Washington, D.C., says too many plastic bags end up as litter, polluting waterways. “They get caught in bushes and trees. In storm water systems, they end up blocking pipes.”In an effort to keep plastic bags out of the environment, California recently became the first state to ban businesses from giving new plastic bags to customers. Some other states and cities charge a small amount of money for every bag given out. That is meant to encourage people to bring their own bags when they go shopping.Mark Daniels is senior vice president for environmental policy at Hilex Poly, one of the country’s largest plastic bag manufacturers and recyclers. He says people should be able to get new plastic bags without paying. Mr. Daniels says they are a good environmental choice. “Every single scientific litter study that has been done always shows that plastic retail(零售) bags are a fraction of one percent.”Some environmentalists claim that plastic bags are blocking landfills. However, MarkDaniels points to a study by the Environmental Protection Agency that is not always true.“All plastic bags, not just retail bags, are 4/10ths of one percent the waste stream.”Five years ago, Washington D.C.placed a 5-cent fee on every plastic bag given out by businesses in the city. The money is being used to clean up the local Anacostia watershed. And the effort is making a difference. Brian Van Wye heads storm water program implementation at the city’s Department of the Environment. He says once people started to pay for plastic bags, they used less of them. Fewer bags ended up in the waterways. 42.Who is against paying for plastic bags?A.Janet Larsen.B.Mark Daniels.C.Brian Van Wye.D.Bill Ford. 43.What is the best title for the passage?A.Pay for Plastic Bags B.Keep Plastic Bags out of theEnvironmentC.Plastic Bags Should Be Banned D.Plastic Bags: To Ban or Not to Ban? 44.It can be learned from the last paragraph that ________.A.it is stupid to place a 5-cent fee on every plastic bagB.placing a 5-cent fee on every plastic bag is beneficialC.more bags ended up in the waterwayD.efforts made no differenceWhat exactly is persuasion? Persuasion is a process that enables you to change others’ attitudes, opinions, or behaviors. When you are watching TV, there are so many advertisements to persuade you to buy their products. When your naughty son does not like to write his homework, you will punish him, which is also a persuasion.Persuasion is a very important skill nowadays. It is fulfilling everywhere, every time. In many ways, persuasion combines art and science. It’s an art in that it requires the ability to establish trust and strong communication skills. It’s a science in that it centers on the disciplined collection and analysis of information and solidly researched principles (原则) of human behavior.Persuasion is everywhere, but the effect is very different.When we persuade, first we should be believable. If someone is an expert in a certain field, his or her speech will be convincing when he or she expresses opinions about this field. It is interesting that if someone’s aim is not to affect your opinions, and he or she has nobenefit from your decision, this person seems to be more trustful. What’s more, we need to be attractive. If we like someone, we will be affected by him or her on some unimportant topics. Even if this person tells us he or she wants to affect, maybe we will also be affected.The methods of persuasion are necessary too. First you should think wise for choosing your topic. A good topic is a big impact to catch your audience. Then when you have done selecting topics, now it’s time to brainstorm how you will have a deep conversation with your audience to give them more ideas about your topics. And think about who your listener is and what they want to know. How will you catch their attention to become more interested in your subject? Next, understanding your audience can help you deliver the right information that is valuable to them. To get your audience, try to add some personal experience in your topics. The way you talk to them expresses your feelings and knowledge, and it really works.Everyone is trying to persuade someone and being persuaded. So next time you listen to a speech, watch an advertisement, think of persuasion.45.In Paragraph 2, the writer thinks persuasion is an art because________.A.they both have the same topic B.they both need skills to achieveC.they both make the audience laugh D.they both deliver the right information 46.Paragraph 3 is mainly about________.A.the meaning of persuasion B.the methods of persuadersC.the importance of persuasion D.the characteristics of persuaders 47.Which of the following would be the best title for the passage?A..Are Advertisements Worth Trusting?B.Persuasion — The Effects are Different C.Are Good Topics Important for Persuasion?D.Persuasion — An Important Social SkillFunny action, Chinese kung fu, and the Monkey King. If you want to re-experience the adventures of Journey to the West, then Unruly Heroes, a 2D action game by Magic Design Studios (MDS) in France, is for you. The game is an example where international talent meets traditional Chinese culture.“Creating a game based on the novel, Journey to the West, has actually been my dream since I entered this profession.” said Lu Yang, CEO and creative director of MDS. “It is a very dramatic tale set in a big, imaginary world. Every character is described vividly.”“Everyone in China knows the story, but in European countries or the US, few peopleknow about Journey to the West. I think such a fascinating story should be introduced to more people,” he said.Released in January, Unruly Heroes has received an 80 percent positive reaction on STEAM. The game features a unique-story and cast of characters, where players can alternate between four characters: Wukong, Sanzang, Kihong and Sandmonk.The creative team combines many Chinese cultural-elements with the art design, building an immersive world of art, animation and a taste of Chinese folk music. “Our goal is to introduce Journey to the West to the world, and be accepted by players from different cultural backgrounds,” Lu said.Set against lush (豪华的) environments and a hand-drawn art style, Unruly Heroes updates the Journey to the West classic tale into an adventure that is more colorful, humorous and attractive to people in modern times. As Lu introduced, the game differed a lot compared with the original story. “For example, we reimagined White Bone Spirit as the owner of a beauty salon, so players need to destroy her mask to defeat her.”Lu believes that Chinese culture has strong potential to reach a broader audience, but it needs the efforts of more companies and creative minds.“We can add Chinese cultural elements into products that are accessible to people around the world. Video games, film and TV series, and other cultural and entertainment products resonate (共鸣) easily internationally,” he said.“I am not a scholar; I simply want to do what I can to present a story I love to more people far and wide,” Lu added.48.The writer mentions the example of White Bone Spirit in order to _________.A.explain why Unruly Heroes changes the story in Journey to the WestB.compare the story in Unruly Heroes with that in Journey to the WestC.show how Unruly Heroes modernize the story in Journey to the WestD.criticize Unruly Heroes for changing the story in Journey to the WestA.likely to interest B.easy to reach C.possible to upsetD.hard to attract50.What’s the best title of the passage?A.Unruly Heroes: A Tale that Continues to DevelopB.Unruly Heroes: A Method that Makes a DifferenceC.Unruly Heroes: An Effort that Creates Traditional Culture D.Unruly Heroes: A Game that Takes Chinese Culture Abroad试卷第11页,共11页。
2020-2021学年广东省广州市白云区广外外校九年级(上)期中物理试卷-附答案详解
2020-2021学年广东省广州市白云区广外外校九年级(上)期中物理试卷1.小军学习了杠杆的知识后,想用公园的翘翘板来估测一块石头的重。
如图所示,他将石头放在翘翘板A位置,自己坐在B位置上,翘翘板在水平位置平衡。
若小军体重500N,可估得石头的重约为()A. 100NB. 250NC. 500ND. 1000N2.工人用滑轮组把一箱货物从一楼提升到五楼,在滑轮组上加润滑油后,如果把同样的重物从一楼提升到五楼所做的()A. 有用功减小,总功不变B. 额外功不变,总功减小C. 有用功增加,额外功减小D. 有用功不变,总功减小3.如图是开瓶盖的起子,可以看成是一个杠杆,能正确表示出杠杆的支点、动力和阻力的图是()A.B.C.D.4.如图所示电流表和电压表使用均正确的是图()A. B.C. D.5.干燥的冬天,将用头发摩擦过的梳子靠近水平悬挂带负电的橡胶棒A端(橡胶棒能在水平面自由转动),发现A端会远离梳子,如图所示,实验中()A. 梳子不带电B. 梳子带正电C. 摩擦时产生了电荷,使梳子和头发带电D. 与梳子摩擦过的头发带正电6.如图所示的电路中,两个规格不同的灯泡()A. 只闭合开关S1和S2,灯泡L1亮,L2不亮B. 只闭合开关S1,流过灯泡L1和L2的电流不等C. 闭合开关S1和S2,电压表测电源电压D. 只闭合开关S1,灯泡L1和L2两端的电压相等7.如图所示,电流表示数为I,电压表示数为U,不考虑温度对定值电阻R的影响,则正确的是()A. U=0,R=0B. U变大时,U变大IC. I变大时,U变小ID. U变大时,U不变I8.小明在用“伏安法”测电阻的实验中,根据测量数据绘制出如图所示I−U图象,对此作出的判断中,正确的是()A. 通过R1的电流与它两端所加电压不成正比B. R2的电阻比R1的阻值大C. 将R1、R2并联接入到同一电路中,R2两端的电压较大D. 将R1、R2串联接入到同一电路中,通过R1的电流较大9.在研究电流跟电压、电阻的关系的实验中,得出表格中的一组数据。
2020-2021学年广东省广东外语外贸大学附设外语学校七年级下学期开学考试英语试题(含答案)
2020级初一下开学测试英语试卷(Feb. 22, 2021)试卷共四大题共7页满分:90分考试时间:90 分钟姓名:_________ 一、语言知识及运用(共15分)第一节辨音(共5小题;每小题1分,满分5分)下列各组词中有一个单词划线部分的读音与其他三个单词划线部分的读音不同,请选出,并在答题卡上将该项涂黑。
( ) 1. A. pattern B. matter C. tradition D. natural( ) 2. A. mountain B. shout C. mouth D. group( ) 3. A. book B. cook C. tooth D. good( ) 4. A. lazy B. study C. try D. sunny( ) 5. A. teacher B. machine C. March D. touch第二节语法选择(共10小题;每小题1分,满分10分)阅读下面短文,按照旬子结构的语法性和上下文连贯的要求,从6-15 各题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。
Ways of studyingWhy do people go to school? The aim of going to school is ___6___. ___7___ it is not easy to study well. You may waste (浪费) ___8___ time and money. The following are some ___9___ ways of studying.The best time for reading is in he morning ,because your mind is clearer and less tired. This can help you get a better ___10___ of what you are studying.When you are studying, you must have ___11___ patience. ___12___ you don’t know a text well, you can read it again or ask others for help.Don’ t be afraid to ask“why” .If you don’t understand what you are studying, write it ___13___ and ask your teachers, parents or friends about it.There are ___14___ ways of studying better. Remember them and follow them, and you’ll do well ___15___ your studies.( ) 6. A. study B. studied C. to study D to studying( ) 7. A. So B. But C. When D. Or( ) 8. A. both B. neither C. nor D. either( ) 9. A. good B. well C. better D. best( ) 10. A. understand B. understood C understanding D. understands ( ) 11. A. a B. an C. the D. /( ) 12. A. And B. So C. If D. Why( ) 13. A. down B. up C. over D. through( ) 14. A. much B. a little C. many D. a few( ) 15. A. with B. in C. at D. for二、完形填空(共10小题;每小题1分,满分10分)阅读下面短文,掌提其大意,然后从16-25各题所给的A.B.C和D项中,选出最佳选项,并在答题卡上将该项涂黑。
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广外附设学校2020初中入学测试试卷
一、字词掌握。
(20分)
1、看拼音,把汉字工整、匀称地写在田字格里。
(8分)
xián shú duàn liàn lièfèng piě zuǐ
()()()()
2、找出下面四组读音中注意完全正确的一组()。
(2分)
A、屡见不鲜.(xiǎn)不卑不亢.(kàng)处.心积虑(chù)
B、自怨自艾.(yì)万马齐喑.(yīn)瞠.目结舌(chēng)
C、万象更.新(gèng)茅塞.顿开(sè)如火如荼.(tú)
4、打开你的成语积累宝库,填写合适的成语。
(4分)
根据提示各写一个末尾为“海”的成语:
形容数目众多()形容各有本事()
形容意志坚决()形容没有消息()
二、常识积累。
(7分)
1、下面的故事和情节我知道出处,还知道作者是谁。
(4分)
(1)过五关,斩六将——《》()
(2)“她俩有光明和快乐中飞走了,越飞越高,飞到那没有寒冷,没有饥饿,也没有痛苦的地方去了。
”——《》()
2、古文妙句我知道。
(3分,每小题各1分)
(1)宋代诗人陆游的“绝命诗”,饱含热泪地希望国家统一,这两句诗是:
“,”。
至今读来仍令人感慨万千啊!
(2)这一次比赛,我班的选手是“”,真是出大丑了。
(填歇后语)
(3)劝诫朋友要讲诚信,你会说“”。
(填一古代名言)
三、句子练习。
(6分)
1、为了增强效果,广告语往往运用各种修辞手法。
对下列广告语的修辞手法判断正确的一组是()(2分)
①人类失去联想,世界将会怎样?
②牛奶香浓,丝般感受。
③只在您拥有春兰空调,春天就永远陪伴着您。
④神仙饮琼浆玉液长生不老,百姓喝莲塘高梁欢乐健康。
A、①双关②对偶③夸张④对比
B、①双关②对比③拟人④对偶
C、①比喻②对比③拟人④对偶
D、①双关②比喻③拟人④对偶
2、鲁肃对诸葛亮说:“都是你自己找的,我怎么帮得了你的忙?”
(根据提示在不改变原意的情况下改句子)(4分)
(1)只去掉问号:
(2)只去掉引号:
四、生活实践。
(6分)
1、某人外出做生意,给父母写了封信。
他的父亲读完高兴的笑了,而他的母亲读完信却哭了起来。
信的内容是这样的:“儿的生活好痛苦也没有粮食多病少挣了很多钱。
”你知道是怎么回事吗?(用正确的标点断句)(4分)
父亲的理解为:“儿的生活好痛苦也没有粮食多病少挣了很多钱。
”
母亲的理解为:“儿的生活好痛苦也没有粮食多病少挣了很多钱。
”
2、日常生活中的谦词雅语真不少,用二字词就可概括:(2分)
向人询问说“”,归还物品说“”。
五、阅读理解。
(31分)
(一)往事(17分)
半夜里听见繁杂的雨声,早起是浓阴的天,我觉得有些烦闷。
从窗内往外看时,那一朵白莲已经谢了,白瓣小船般散漂在水里。
梗上只留个小小的莲蓬,和几根淡黄色的花须。
那一朵红莲,昨夜还是菡萏的,今晨却开满了,亭亭地在绿叶中间立着。
仍是不适意—— pái huái ( )了一会子,窗外雷声作了,大雨接着就来,愈下愈大。
那朵红莲,被那繁密的雨点,打得左右倚斜。
在无zhē bì ( )的天空之下,我不敢下阶去,也无法可想。
对屋里母亲唤着,我连忙走过去,坐在母亲旁边——一回头忽然看见红莲旁边的一个大荷叶,慢慢地倾侧了来,正覆盖在红莲上面……我不宁的心绪散尽了!
雨势并不减退,红莲却不摇动了。
雨点不住地打着,只能在那(甲)的荷叶上面,聚了些(乙)的水珠。
我心中深深地受了感动。
母亲啊!你是(丙),我是(丁),心中的雨点来了,除了你,谁是我在无遮拦天空下的荫蔽?
(注:菡萏hàndàn荷花的别称,古人称未开的荷花为菡萏,即花苞)
1、根据文中拼音词语。
(2分)
pái huái ( ) zhē bì ( )
2、将下面A、B两个词语归位到文中的甲、乙两处。
(2分)
A.流转无力B.勇敢慈怜
甲:乙:
3、请根据文章的内容,在丙、丁两处填上合适的词语组成比喻句,并仿照画“”句另写一个有关母亲的比喻句,要求结构与该句相同。
(4分)
4、文中作者的情绪经历了怎样的变化?试作简要的分析。
(2分)
5、文中“心中的雨点”是比喻的说法,文章第1自然段中哪个词体现了它的含义:。
你知道人们“心中的雨点”还有哪些吗?试举两个例子:
①;②。
(3分)
6、文章最后一句话中的“你”指谁?你是怎样理解这句话的?(4分)
(二)“嘘声”和“掌声”中的无冕之王(14分)
九千多名观众异口同声在骂、在喊、在嘘……虽然当中只有很小部分是俄罗斯人,但全场观众都在批评裁判,近十分钟持续不断。
比赛停了,裁判慌了,而双眼通红的涅莫夫重返赛场用感激的目光环视着观众。
此时,全场响起了经久不息的掌声……
男子单杠是雅典奥运体操比赛的最后一个项目,此前传统体操强国俄罗斯一金未得,全队都把希望集中在卫冕老将涅莫夫身上。
今年28岁的他因长年征战落下一身伤病,所以昨晚也是他的告别演出。
涅莫夫第三个出场,他以一套惊险流畅的高难度动作赢得了在场观众的阵阵惊叫和掌声。
然而,裁判却最终只打出9.725分,这是三名选手中的最低分。
观众多日来对裁判的不满终于彻底爆发,场内顿时嘘声一片,成群的观众站了起来,伸出拇指指着地面表示抗议和反对,场面一度失控,跟在涅莫夫后面出场的美国选手保罗·哈姆根本不敢上杠。
裁判经过交涉之后,终于更改了对涅莫夫的判罚,由9.725分改为9.762分。
但观众的怒火仍难以平息。
在裁判长的劝说下涅莫夫走上了比赛台,他先是向真情的观众鞠躬,然后做手势恳求观众保持平静,在他的努力下,长时间的嘘声才逐渐平息。
在观众的掌声中,涅莫夫走出了赛台,他用鼓掌回报着观众的支持,这就是本文开头那感人的一幕。
回到选手席后,涅莫夫才开始掩面而泣。
赛后,尽管涅莫夫仍然无缘奖牌,多日来一直未受关注的涅莫夫受到了英雄般的欢迎,他离开赛场时得到的掌声和欢呼甚至超过了几位获得奖牌的运动员。
他面带微笑,意味深长的说:“观众们来到这里,就说明他们热爱体操,观众是不会被欺骗的。
1、给下面加点的字注音。
(3分)
落.下伤病无冕.之王嘘.声一片
2、解释下面的词语,再选择其中的一个造句。
(4分)
无冕之王:
掩面而泣:
造句——
3、面对不公平的裁判,涅莫夫是怎么做的?从中你感受到了什么?
4、为什么说涅莫夫是“无冕之王”?(2分)
5、当奥运会所提倡的“公平、公正、公开”的精神在实际生活中遭遇这样的尴尬时,你想说些什么?(3分)
六、习作园地。
(30分)
题目:触动了我的心。
要求:
(1)在横线上把题目补充完整。
(2)选择一件事来写,注意围绕中心把事情经过写具体,做到语句通顺,层次清楚。
(3)字数500左右。