一八联合国际学校小升初试题
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.最新贵阳18中英语(华麟中学)小升初英语模拟试题及答案(三)一、单项选择(20分)( ) 1. I in Class 5. Ben in Class 5, too. We classmates.A. is, am, areB. am, is, areC. are, is, am( ) 2. My shoes under the bed just now. But they there now.A. are, weren’tB. were, weren’tC. were, aren’t( ) 3. There’s apple tree in my garden. In tree, there’s small house for the birds.A. an, the, aB. an, a, theC. a, the, a( ) 4. -- that woman, Helen?–She’s Miss Li.-- is that dress? Is it hers?A. Who, WhoseB. Whose, Who’sC. Who’s, Whose( ) 5. I usually go to school seven the morning.A. at, onB. at, inC. about, on( ) 6. This is our classroom. is next to .A. Your, ourB. Your, oursC. Yours, ours( ) 7. Mr White is from . He’s . He speaksA. America, American, EnglishB. American, America, EnglishC. America, American, American( ) 8. I a big garden behind my house. many flowers in it.A. have, There areB. there are, HaveC. has, There is( ) 9. There isn’t milk in the cup. Would you like juice?A. some, anyB. any, someC. any, any( ) 10. - Yang Ling see a film last Sunday?- No, she .A. Do, don’tB. Does, doesn’tC. Did, didn’t( ) 11. –What does “No parking” mean?- It means .A. We can park our bikes here.B. We can’t park our bikes here.C. We can’t ride our bikes here.( ) 12. –This is an exciting holiday. People usually make pumpkin lanterns and go to parties. Children wear(穿,戴) masks and dress up in costumes. What holiday is it?- It’s .A. HalloweenB. EasterC. Christmas( ) 13. –What’s your _____?-- I like listening to music.A. nameB. hobbyC. job( ) 14. – Where ______ your friend live?-- She ____ in London.A. do, liveB. does, livesC. is, live( ) 15. Can you Chinese ? No, but I often with my friends Chinese.A. tell, say, atB. speak, talk, inC. speak, tell, in( ) 16. What can you in the picture? I at it, but I can’t any thing.A. look, look, look forB. see, see, look forC. see, look, find( ) 17. Which season you like ? I like spring better.A. did, bestB. do, bestC. do, better( ) 18. Look, there’s apple tree. tree is very tall. You can see cat under it.A. an, A, theB. an, The, aC. a, The, a( ) 19. In winter, it often snows, It’s best season.A. the, theB. a, theC.\, the( ) 20. Tom is in Class One, Jim is in Class Two, they are inA. the same classB. the same rowC. different classes二、完型填空(10分)I __1__ a bad cough and a high fever. So I didn’t go school __2__morning. After breakfast, I__3__ a storybook. There’re many signs __4__ it. From this book I know __5__ about traffic(交通).We should walk or drive on the __6 __ of the road(路)and get slower(慢下来)at the cross of the road. “Red light” means __7__. “Green light” means __8__. We __9__ go in the time of “Red light”. We must __10__ the “Green light” a nd go.( )1、A. got B. am got C. have got D. get( )2、A. in B. in the C. that D. this( )3、A. look at B. read C. see D. look( )4、A. in B. on C. beside D. about( )5、A. a lot of B. many C. lots of D. a lot( )6、A. left B. light C. right D. write( )7、A. stop B. stopping C. go D. going( )8、A. go B. goes C. going D. to go( )9、A. should B. shouldn’t C. must D. can( )10、A. wait B. wait for C. waiting D. waiting for三、阅读理解(15分)AOne day Mr. and Mrs. White went shopping by car. They stopped their car near a shop. They bought(买)a lot of things and they wanted to put the things into the car. But Mr. White couldn’t open the door of the car, so they asked a policeman to help them. The policeman was very friendly. He started to open the car for them. Just then a man came up and shouted(喊), “What are you doing with my car?” Mr. and Mrs. White had a look at the car’s number and they were frozen(惊呆了)there. It wasn’t their car.( ) 1. Mr. and Mrs. White drove for shopping.( ) 2. They stopped their car at the gate of a snack bar.( ) 3. They wanted to give their things to a policeman.( ) 4. The policeman would like to help Mr. White.( ) 5. From the passage(短文), we know Mr. and Mrs. White made a mistake(搞错了).B“Early to bed, early to rise(起身)makes people healthy, wealthy and wise(健康,富有,聪明).” This is an old English saying. Children should have ten hours’ sleep every night, or they can’t do their work very well. They will not be wise. The body needs exercise. Walking, running, swimming and playing ball games are all exercise. Exercise keeps the body strong.( ) 1. “Early to rise” means that we must early.A. go to schoolB. get upC. go home( ) 2. Children should have hou rs’ sleep every night.A. 8B. 9C. 10( ) 3. Everybody exercise.A. needB. needsC. wants( ) 4. is good exercise, too.A. JogB. JoggingC. Jogged( ) 5. Exercise makes us .A. fatB. strongerC. thinnerCThe Spring Festival(春节)is our Chinese people’s festival. There are different names for each year. We all call it the year of monkey, the year of do g… and this year is the year of Mouse. Before the day of the festival, people are busy shopping and cleaning. On the Eve(除夕), there is a big family dinner. After dinner, all the family stay up late(守夜)to welcome the new year. In the middle of the night, we have some dumplings(饺子)and watch TV. On the first day of the New Year, people wear new clothes to visit their relatives and say “Happy New Year” to each other.( ) 1. There are different names for Chinese years.A. 10B. 11C. 12( ) 2. When is the Eve in Chinese year?A. The evening of the Spring Festival.B. The evening before the Spring Festival.C. The evening after the Spring Festival.( ) 3. People before the Spring Festival.A. sing and danceB. go shopping and clean the houseC. play games( ) 4. are the favorite food for Chinese people on the Eve.A. CakesB. DumplingsC. Noodles( ) 5. On the festival people usually .A. wear new clothesB. go to visit their relativesC. A and B四、趣味英语选择(8分)( ) 1. "Walls have ears" means______.A.墙上有洞B.隔墙有耳C.震耳欲聋D.耳聪目明( ) 2. —Who's the boy in the hat?A.戴着帽子B.在帽子上C.拿着帽子D.带着帽子( ) 3. "Practice in pairs." means______.A.两人练习B.两人表演C.组成小组D.三人游戏( ) 4. She's a green hand. "green hand" means______.A.老手B.新手C.绿手D.热手( ) 5. "Like father, like son." means______ (10分)A.父子一样B.像父亲,又像儿子C.有其父必有其子D.喜欢父亲也喜欢儿子( ) 6. "A lucky dog" means______. (10分)A.幸运狗B.幸运儿C.可爱的狗D.人见人爱( ) 7.He is a yes-man. I don't like him. (10分)A.说一不二的人B.唯唯诺诺的人C.总有理的人D.坚强的人( ) 8. Look out! A car is coming. "Look out!" means ______. (10分)A.白外看!B.看呀!C.看外面D.小心!五、情景会话(12分)A) 重新排列句子,组成一段合理的对话。
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一、选择题(每小题3分,共30分)1.元旦节日期间,晓红百货商场为了促销,对某种商品按标价的8折出售,仍获利160元,若这种商品的标价为2200元,那么它的成本价为( )A .1600元B .1800元C .2000元D .2100元2.下列判断,正确的是( )A .若a b >,则a b >B .若a b >,则a b >C .若0a b >>,则a b >D .若0a b <<,则a b <3.把一张面额10元的人民币换成面额1元和2元的两种人民币,共有( )种方法A .3B .4C .5D .64.在平面直角坐标系中,点M 到x 轴的距离是3,到y 轴的距离是2,且在第二象限,则点M 的坐标是( ) A .()3,2- B .()2,3- C .()3,2- D .()2,3--5.今年父亲的年龄是儿子年龄的3倍,5年前父亲的年龄比儿子的年龄的4倍还大1岁,设今年儿子x 岁,则可列方程为( )A .4153(5)x x ++=+B .354(5)1x x -=-+C .354(5)1x x +=++D .453(5)1x x -=-+6.若关于x 的方程320x kx -+=的解为2,则k 的值为( )A .4B .-2C .-4D .17.《九章算术》是我国古代数学名著,卷七“盈不足”中有题译文如下:今有人合伙买羊,每人出5钱,会差45钱;每人出7钱,会差3钱.问合伙人数、羊价各是多少?设合伙人数为x 人,所列方程正确的是( )A .54573x x -=-B .54573x x +=+C .45357x x ++= D .45357x x --= 8.解方程2x +13x -=2﹣312x -,去分母,得( ) A .12x +2(x ﹣1)=12+3(3x ﹣1) B .12x +2(x ﹣1)=12﹣3(3x ﹣1)C .6x +(x ﹣1)=4﹣(3x ﹣1)D .12x ﹣2(x ﹣1)=12﹣3(3x ﹣1) 9.如图,AB=DB ,∠1=∠2,请问添加下面哪个条件不能判断△ABC ≌△DBE 的是( )A .BC=BEB .∠A=∠DC .∠ACB=∠DEBD .AC=DE10.如图,数轴上每两个相邻的点之间距离均为1个单位长度,数轴上的点Q ,R 所表示数的绝对值相等,则点P 表示的数为( )A .0B .3C .5D .7二、填空题(本大题共有6小题,每小题3分,共18分)11.计算2(2)1--的结果是_________.12.射线OA ,OB ,OC ,OD 是同一平面内互不重合的四条射线,60AOB ∠=︒,40AOD ∠=︒,3AOB BOC ∠=∠,则COD ∠的度数为____________________.13.观察等式:①212=⨯,②24623+==⨯,③2461234++==⨯,……按照这种规律写出第n 个等式2462n +++⋅⋅⋅+=_____.14.已知关于x 的一元一次方程2020342019x a x +=+的解为4x =,那么关于y 的一元一次方程2020(1)34(1)2019y a y -+=-+的解为y =___________.15.如图为4×4的网格(每个小正方形的边长均为1),请画两个格点正方形(顶点在小正方形顶点处)要求:其中一个边长是有理数,另一个边长是大于3的无理数,并写出其边长,∴边长为 .∴边长为 .16.若3550n x -+=是关于x 的一元一次方程,则n=______.三、解下列各题(本大题共8小题,共72分)17.(8分)已知关于x 的方程422x m x +=-与方程1(16)62x -=-的解相同,求m 的值. 18.(8分)如图, 90AOB COD ∠=∠=︒(1) AOC ∠等于BOD ∠吗?(2)若 150BOD ∠=︒,则BOC ∠等于多少度?19.(8分)已知有理数a ,b ,c 在数轴上对应的点从左到右顺次为A ,B ,C ,其中b 是最小的正整数,a 在最大的负整数左侧1个单位长度,BC=2AB .(1)填空:a= ,b= ,c=(2)点D 从点A 开始,点E 从点B 开始, 点F 从点C 开始,分别以每秒1个单位长度、1个单位长度、4个单位长度的速度在数轴上同时向左运动,点F 追上点D 时停止动,设运动时间为t 秒.试问:①当三点开始运动以后,t 为何值时,这三个点中恰好有一点为另外两点的中点?②F 在追上E 点前,是否存在常数k ,使得DF k EF +⋅的值与它们的运动时间无关,为定值.若存在,请求出k 和这个定值;若不存在,请说明理由.20.(8分)已知平面内有α∠,如图(1).(1)尺规作图:在图(2)AOB ∠的内部作AOD α∠=∠(保留作图痕迹,不需要写作法);(2)已知(1)中所作的40AOD ∠=︒,OE 平分BOC ∠,2AOE BOE ∠=∠,求BOD ∠.21.(8分)把下列各数填在相应的大括号内:-35,0.1,47-,0,134-,1,4.01001000···,22,-0.3,93,π. 正数:{ ,···};整数:{ ,···};负分数:{ ,···};非负整数:{ ,···}.22.(10分)如图,将两块直角三角板的直角顶点C 叠放在一起.(1)若∠DCE =30°,求∠ACB 的度数;(2)试判断∠ACE 与∠BCD 的大小关系,并说明理由;(3)猜想∠ACB 与∠DCE 的数量关系,并说明理由.23.(10分)如图是某市民健身广场的平面示意图,它是由6个正方形拼成的长方形,已知中间最小的正方形A 的边长是1米;(1)若设图中最大正方形B 的边长是x 米,请用含x 的代数式分别表示出正方形F E C 、、的边长(2)观察图形的特点可知,长方形相对的两边是相等的(即MN PQ =, MQ PN =)请根据以上结论,求出x 的值 (3)现沿着长方形广场的四条边铺设下水管道,由甲、乙工程队单独铺设分别需要10天、15天完成,如果两队从同一位置开始,沿相反的方向同时施工2天后,因甲队另有任务,余下的工程由乙队单独施工,还要多少天完成?24.(12分)将两个直角三角尺的顶点O 叠放在一起(1)如图(1)若∠BOD=35°,则∠AOC=___;若∠AOC=135°,则∠BOD=___;(2)如图(2)若∠AOC=140°,则∠BOD=___;(3)猜想∠AOC 与∠BOD 的大小关系,并结合图(1)说明理由.参考答案一、选择题(每小题3分,共30分)1、A【分析】首先设它的成本是x元,则售价是0.8x元,根据售价﹣进价=利润可得方程2200×80%﹣x=160,再解方程即可.【详解】设它的成本是x元,由题意得:2200×80%﹣x=160,解得:x=1600,故答案为A.【点睛】本题考查了一元一次方程的应用,弄清题意,找准等量关系列出方程是解题的关键.2、C【分析】根据绝对值的意义及性质对每个选项作出判断即可.【详解】解:A、若a=3,b=-4,则a>b,但|a|<|b|,故选项错误;B、若a=-3,b=1,则|a|>|b|,但a<b,故选项错误;C、若a>b>0,则|a|>|b|,故选项正确;D、若a<b<0,如a=-3,b=-1,则|a|>|b|,故选项错误;故选:C.【点睛】此题考查的知识点是绝对值,解题的关键是理解并掌握绝对值的意义及性质.3、B【分析】先设面值1元的有x张,面值2元的y张,根据1张10元的人民币兑换成面额为1元和2元的人民币列出方程,再进行讨论,即可得出答案.【详解】解:设面值1元的有x张,面值2元的y张,根据题意得:x+2y=10,当x=2时,y=4,当x=4时,y=3,当x=6时,y=2,当x=8时,y=1,综上,一共有4种方法;故答案为:B.本题考查了二元一次方程的应用,解题关键是弄清题意,合适的等量关系,列出方程,找出满足条件的x 和y . 4、B【分析】根据第二象限内点的横坐标是负数,纵坐标是正数,点到x 轴的距离等于纵坐标的长度,点到y 轴的距离等于横坐标的长度解答.【详解】∵点M 在第二象限,且点M 到x 轴的距离是3,到y 轴的距离是2,∴点M 的横坐标是-2,纵坐标是3,∴点M 的坐标为(-2,3).故选B.【点睛】本题主要考查了点的坐标,注意第几象限,点纵横坐标的正负.5、B【分析】设今年儿子的年龄为x 岁,则今年父亲的年龄为3x 岁,根据5年前父亲的年龄是儿子年龄的4倍再加一岁,即可得出关于x 的一元一次方程,此题得解.【详解】设今年儿子的年龄为x 岁,则今年父亲的年龄为3x 岁,依题意得:3x ﹣5=4(x ﹣5)+1.故选:B .【点睛】本题考查了由实际问题抽象出一元一次方程,找准等量关系,正确列出一元一次方程是解题的关键.6、A【分析】直接把x =2代入进而得出答案.【详解】∵关于x 的方程3x−kx +2=0的解为2,∴3×2−2k +2=0,解得:k =1.故选A .【点睛】此题主要考查了一元一次方程的解,正确把已知数据代入是解题关键.7、B【分析】设合伙人数为x 人,根据羊的总价钱不变,即可得出关于x 的一元一次方程,此题得解.【详解】设合伙人数为x 人,依题意,得:54573x x +=+.故选B .本题考查了由实际问题抽象出一元一次方程,找准等量关系,正确列出一元一次方程是解题的关键.8、B【分析】方程两边同时乘以6,可将分母去掉,再分别判断即可.【详解】方程2x+13x-=2﹣312x-,去分母,得12x+2(x﹣1)=12﹣3(3x﹣1)故选:B.【点睛】本题考查了分式方程的解法,其基本思路是把方程两边都乘以各分母的最简公分母,化为整式方程求解,去分母时不要漏乘不含分母的项.9、D【分析】本题要判定△ABC≌△DBE,已知AB=DB,∠1=∠2,具备了一组边一个角对应相等,对选项一一分析,选出正确答案.【详解】解:A、添加BC=BE,可根据SAS判定△ABC≌△DBE,故正确;B、添加∠ACB=∠DEB,可根据ASA判定△ABC≌△DBE,故正确.C、添加∠A=∠D,可根据ASA判定△ABC≌△DBE,故正确;D、添加AC=DE,SSA不能判定△ABC≌△DBE,故错误;故选D.【点睛】本题考查三角形全等的判定方法,判定两个三角形全等的一般方法有:SSS、SAS、SSA、HL.注意:AAA、SSA不能判定两个三角形全等,判定两个三角形全等时,必须有边的参与,若有两边一角对应相等时,角必须是两边的夹角.10、C【分析】根据绝对值的意义推出原点的位置,再得出P表示的数.【详解】设数轴的原点为O,依图可知,RQ=4,又∵数轴上的点Q,R所表示数的绝对值相等,∴OR=OQ=RQ=2,∴OP=OQ+OR=2+3=5,故选C【点睛】本题考核知识点:绝对值.解题关键点:理解绝对值的意义,找出原点.二、填空题(本大题共有6小题,每小题3分,共18分)11、3【分析】根据有理数运算法则即可求解.【详解】2(2)1--=41-=3【点睛】本题难度较低,主要考查有理数混合运算,掌握混合运算顺序是解题关键,先乘方,再乘除,后加减.12、120︒或40︒或80︒【分析】根据题意分情况讨论,分别作图即可求解.【详解】∵60AOB ∠=︒,3AOB BOC ∠=∠∴20BOC ∠=︒如图1, COD ∠=AOD AOB BOC ∠+∠+∠=120︒;如图2, COD ∠=BOD BOC ∠+∠=AOB AOD BOC ∠-∠+∠=40︒;如图3, COD ∠=AOD AOC AOD AOB BOC ∠+∠=∠+∠-∠=80︒;故答案为:120︒或40︒或80︒.【点睛】此题主要考查角度的求解,解题的关键是根据题意作图求解.13、()1n n +【分析】通过观察前几个式子找到规律,利用规律即可得出答案.【详解】①2121(11)=⨯=⨯+,②246232(21)+==⨯=⨯+,③24612343(31)++==⨯=⨯+,通过观察发现,前一个数是有几个数相加即是几,后一个数比前一个数大1,则根据规律即可得出2462n +++⋅⋅⋅+=()1n n +故答案为:()1n n +.【点睛】本题主要考查规律,找到规律是解题的关键.14、5.【分析】可以看出x =y -1,由此将数代入计算即可.【详解】2020342019x a x +=+2020(1)34(1)2019y a y -+=-+由上述两个方程可以得出:x =y -1,将4x =代入,解得y =5.故答案为:5.【点睛】本题考查一元一次方程与解的关系,关键在于由题意看出x 与y 的关系.15、2; 5【分析】利用勾股定理分别画出边长为无理数和有理数的正方形即可.【详解】如图所示:边长为2221310+=故答案为:25【点睛】此题考查作图-复杂作图,正方形的判定和性质,勾股定理,无理数,解题的关键是理解题意灵活运用所学知识解决问题.16、1【分析】根据一元一次方程的定义即可求出n 的值.【详解】解:∵3550n x -+=是关于x 的一元一次方程,∴351n -=解得:n=1故答案为:1.【点睛】此题考查的是根据一元一次方程的定义求未知数的指数中的字母,掌握一元一次方程的定义是解决此题的关键.三、解下列各题(本大题共8小题,共72分)17、4m =- 【分析】先求出方程1(16)62x -=-的解,再将此解代入422x m x +=-中求m 的值. 【详解】解:1(16)62x -=- 1612x -=-=4x将=4x 代入422x m x +=-中,得 44422m +=- ∴4m =-【点睛】本题考查了同解方程,先根据其中一个方程求出两个方程相同的解是解答此题的关键.18、(1)相等,理由见详解;(2)120°【分析】(1)直接利用角的和差关系,即可得到答案;(2)根据一个周角为360°,然后利用角的和差关系,即可得到答案.【详解】解:(1)相等;理由:∵ 90AOB COD ∠=∠=︒,∴ AOB AOD COD AOD ∠+∠=∠+∠,∴ AOC BOD ∠=∠;(2)∵一个周角为360°, 150BOD ∠=︒,∴36036015090120BOC BOD COD ∠=︒-∠-∠=︒-︒-︒=︒.【点睛】本题考查了几何图形中角度的计算,以及角的和差关系,解题的关键是熟练利用角的和差关系进行解题.19、(1)-2,1,7;(2)①t=1或t=52;②k=-1 【分析】(1)根据有理数的性质,A 、B 、C 三点位置,数轴上两点的距公式及点的平移规律回答即可;(2)①分E 是DF 的中点和点F 是DE 的中点两种情况计论;②先用含t的代数式表示DF k EF +⋅,()9633DF k EF k k t +⋅=+-+,由3+3k=0求出k 问题即可求解【详解】解:(1)∵最小正数为1.最大的负整数为小-1,a 在最大的负整数左侧1个单位长度∴点A 表示的数a 为-1-1=-2,点B 表示的数b 为1,∴AB=1-(-2)=3∵223=6BC AB ==⨯,∴点C 表示的数为c=1+6=7,故答案为:-2,1,7;(2)①依题意,点F 的运动距离为4t ,点D 、E 运动的距离为t,∴点D 、E 、F 分别表示的数为-2-t ,1-t , 7-4t,当点F 追上点D 时,必将超过点B ,∴存在两种情况,即DE=EF 和DF=EF ,如图,当DE=EF ,即E 为DF 的中点时,()21=274t t t ----+,解得,t=1,如图,当EF=DF ,即F 为DE 中点时,()74=21t t t ---+-2,解得t=52,综上所述,当t=1秒和t=52时,满足题意. ②存在,理由: 点D 、E 、F 分别表示的数为-2-t ,1-t ,7-4t,如图,F 在追上E 点前, ()74-2=93DF t t t =----,()74-1=63EF t t t =---,()()93639633DF k EF t k t k k t +⋅=-+-=+-+,当DF k EF +⋅与t 无关时,需满足3+3k=0,即k=-1时,满足条件.【点睛】本题考查了数有理数的性质,数轴上点与数的对应关系及两点的距离,点的平移及线段的中点及分类讨论思想,正确理解点的运动与点的平移的关系是解本题的关键.20、(1)图见解析;(2)20°.【分析】(1)按照要求进一步画出图形即可;(2)利用角平分线性质结合2AOE BOE ∠=∠得出==60COE BOE ∠∠°,然后进一步求解即可.【详解】(1)如图所示:(2)∵OE 平分BOC ∠,∴∠COE=∠BOE ,∵2AOE BOE ∠=∠,∴2AOE COE ∠=∠,∵+=180AOE COE ∠∠°,∴2+=180COE COE ∠∠°,∴==60COE BOE ∠∠°,∴60AOB ∠=︒,∵40AOD ∠=︒,∴=604020BOD ∠︒︒︒=-.【点睛】本题主要考查了角度的计算,熟练掌握相关概念是解题关键.21、正数:{0.1,1,4.01001000 (22)93,π,···}; 整数:{−35,0,1,22,93,···}; 负分数:{47-,134-,−0.3,···}; 非负整数:{0,1,22,93,···}. 【分析】正数是指大于0的数;整数包括正整数、负整数与0;负分数是指小于0的分数,其中有限循环小数也是分数;非负整数是指正整数与0,据此进一步求解即可.【详解】∵正数是指大于0的数,∴正数:{0.1,1,4.01001000 (22)93,π,···}; ∵整数包括正整数与负整数及0,∴整数:{−35,0,1,22,93,···}; ∵负分数是指小于0的分数,其中有限循环小数也是分数,∴负分数:{47-,134-,−0.3,···}; ∵非负整数包括正整数与0,∴非负整数:{0,1,22,93,···}. 【点睛】本题主要考查了有理数的分类,熟练掌握相关概念是解题关键.22、(1)∠ACB=150°;(2)∠ACE=∠BCD,理由见解析;(3)∠ACB+∠DCE=180°,理由见解析【分析】(1)首先求出∠ACE,然后根据∠BCE=90°可得答案;(2)利用“同角的余角相等”得出结论;(3)根据角之间的关系,得出∠ACB与∠DCE的和等于两个直角的和,进而得出∠ACB+∠DCE=180°的结论.【详解】解:(1)∵∠DCE=30°,∠ACD=90°,∴∠ACE=∠ACD﹣∠DCE=90°﹣30°=60°,∵∠BCE=90°,∴∠ACB=∠ACE+∠BCE=60°+90°=150°;(2)∠ACE=∠BCD,理由:∵∠ACD=∠BCE=90°,即∠ACE+∠ECD=∠BCD+∠ECD=90°,∴∠ACE=∠BCD;(3)∠ACB+∠DCE=180°,理由:∵∠ACB+∠DCE=∠ACE+∠DCE+∠BCD+∠DCE,且∠ACE+∠DCE=90°,∠BCD+∠DCE=90°,∴∠ACB+∠DCE=90°+90°=180°.【点睛】本题考查互为余角、互为补角的意义,等量代换和恒等变形是得出结论的基本方法.23、(1)F的边长为(x-1)米;C的边长为12x+米;E的边长为(x-2)米;(2)7;(3)1【分析】(1)若设图中最大正方形B的边长是x米,最小的正方形的边长是1米,从图中可看出F的边长为(x-1)米,C的边长为12x+,E的边长为(x-1-1),即可得到答案;(2)根据长方形相对的两边是相等的(如图中的MN和P Q).请根据这个等量关系,求出x的值;(3)根据工作效率×工作时间=工作量这个等量关系且完成工作,工作量就为1,可列方程求解.【详解】解:(1)若设图中最大正方形B的边长是x米,最小的正方形的边长是1米.∴F的边长为:(x-1)米,∴C的边长为:12x+米,∴E的边长为:x-1-1=(x-2)米;(2)∵MQ=PN,∴x-1+x-2=x+1 2x,解得:x=7,∴x的值为7;(3)设余下的工程由乙队单独施工,还要x天完成.∴(110+115)×2+115x=1,解得:x=1.答:余下的工程由乙队单独施工,还要1天完成.【点睛】本题考查理解题意能力和看图的能力,根据题目给出的条件,找出合适的等量关系列出方程,再求解是解题的关键.24、(1)145°,45°;(2)40°;(3)∠AOC与∠BOD互补,理由见解析【分析】(1)由于是两直角三角形板重叠,根据∠AOC=∠AOB+∠COD-∠BOD可分别计算出∠AOC、∠BOD的度数;(2)根据∠BOD=360°-∠AOC-∠AOB-∠COD计算可得;(3)由∠AOD+∠BOD+∠BOD+∠BOC=180°且∠AOD+∠BOD+∠BOC=∠AOC可知两角互补;【详解】解:(1)若∠BOD=35°,∵∠AOB=∠COD=90°,∴∠AOC=∠AOB+∠COD-∠BOD=90°+90°-35°=145°,若∠AOC=135°,则∠BOD=∠AOB+∠COD-∠AOC=90°+90°-135°=45°;(2)如图2,若∠AOC=140°,则∠BOD=360°-∠AOC-∠AOB-∠COD=40°;(3)∠AOC与∠BOD互补,理由如下,∵∠AOD+∠BOD+∠BOD+∠BOC=180°,∵∠AOD+∠BOD+∠BOC=∠AOC,∴∠AOC+∠BOD=180°,即∠AOC与∠BOD互补.【点睛】本题主要考查了互补、互余的定义等知识,解决本题的关键是理解重叠的部分实质是两个角的重叠.。
贵阳18中英语(华麟中学)小升初英语试题一英语选择1 This is a really fantastic book. I would like_____ it right now/A reading B read C to read D reads2 --- Do you know_____ to our school? ----Next month.A When does the famous writer comeB when the famous writer comesC When will the famous writer comeD When the famous writer will come3 --- _____do you usually go to see your grandparents?---- Once a week.A How farB How longC How muchD How often4 ----How do you like the film Lost In Thailand?---- It's one of ______film that I have ever seen.A interestingB the most interestingC most interestingD more interesting完形填空阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
“Did you see that?” Joe said to his friend Bill. “You’re a great shooter!” Bill caught the 1 and bounced it before throwing it again. The ball flew into the net.“Bill, you never 2 !” Joe said admiringly.“Unless I’m in a real game,” Bill complained. “Then I miss all the time.” Joe knew that Bill was 3 . Bill performed much better when he was having fun with Joe in the school yard than he did when he was playing for the school team in front of a large crowd.“Maybe you just need to 4 more,” Joe suggested.“But I practice all the time with you!” Bill objected. He shook his head. “I just can’t play well when people are 5 me.”“You play well when I’m watching,” Joe pointed out.“That’s because I’ve known you since we were five years old,” Bill said with a smile. “I’m just not 6 playing when other people are around.”Joe nodded and understood, but he also had an idea. The next day Joe and Bill met in the school yard again to practice. After a few minutes, Joe 7 himself. “Practice without me,” Joe said to his friend. “I’ll be back in a minute.”Joe hurried through the school building, gathering together 8 he could find—two students, a math teacher, two secretaries, and a janitor. When Joe explained why he needed them, everyone was happy to help. Joe reminded the group to stay 9 as they all went toward the school’s basketball court. As Joe had hoped, Bill was still practicing basketball. He made five 10 in a row without noticing the silent people standing behind him. “Hey, Bill!” Joe called out11 . Bill turned. A look of surprise came over his face. “I just wanted to12 you that you could play well with people watching you,” Joe said. “Now you’ll have nothing to worry about for the next game!”1. A. basketball B. football C. volleyball D. baseball2. A. touch B. miss C. hold D. feel3. A. upset B. right C. active D. different4. A. train B. play C. practice D. enjoy5. A. treating B. shouting C. cheering D. watching6. A. similar B. confident C. successful D. comfortable7. A. excused B. enjoyed C. helped D. suggested8. A. whomever B. whenever C. whatever D. wherever9. A. alone B. silent C. quiet D. safe10. A. balls B. baskets C. steps D. scores11. A. quickly B. loudly C. suddenly D. finally12. A. surprise B. tell C. show D. hope三阅读理解。
一八联合国际学校小升初试题一、选择填空,填序号。
( ) 1. Erin was always------in class.a.talkb. talksc. talkingd. talked( ) 2. Their parents take them------ every week.a.playb. to playc. playingd. played( ) 3. How about------the man over there?a.askb. asksc. askedd. asking( ) 4. I don’t like this snow, but my mom------.a.likesb. doesc. dod. like( ) 5. He often------us interesting stories.a.tellsb. talksc. speaksd. says( ) 6. There are------people------vacation in Shanghai.a.many inb. much inc. much ond. many on( ) 7. We enjoy------music every day.a.listen to b .listen c. listening to d. listening( ) 8. This book is a bit hard,------read something easier?a.why notb. why don’tc. why not youd. why you( ) 9. The classroom------every day.a. should be cleaningb. should be cleanedc. should cleand. should cleaned( ) 10. They’re------Australia. We are Chinese.a. come fromb. fromc. coming from二.句型转换。
贵阳18中英语(华麟中学)小升初数学完全模拟试卷(一)贵阳18中英语(华麟中学)小升初数学完全模拟试卷(一)一、选择题(每题4分,共40分)1. 下列数中是无理数的是:A. √2B. 0.333...C. 3D. 2√52. 已知a² = 64,则a的值为:A. 8B. -8C. √64D. -√643. 下列哪个数是正数:A. -3B. 0C. 3D. -√34. 下列哪个数的平方根是整数:A. 15B. 16C. 17D. 185. 已知一个数的平方等于144,这个数可能是:A. 12B. -12C. √144D. -√1446. 下列哪个数是负数:A. -2B. 0C. 2D. -√27. 下列哪个数的倒数是3:A. 1/3B. 3C. -3D. 3/18. 已知a³ = 27,求a的值:A. 3B. -3C. √27D. -√279. 下列哪个数是3的倍数:A. 3B. 6C. 9D. 1210. 下列哪个数的绝对值是5:A. 5B. -5C. 5/2D. -5/2二、填空题(每题4分,共40分)11. 1/2 + 1/3 = _______12. 5/6 - 1/9 = _______13. 3/4 × 2/5 = _______14. 4/7 ÷ 2/3 = _______15. √16 = _______16. √25 = _______17. 5² = _______18. 4³ = _______19. 1/2 × 3/4 = _______20. 2/5 ÷ 4/5 = _______三、解答题(每题10分,共20分)21. 解方程:2x - 5 = 322. 计算:3(4x - 5) + 2(5x + 1)四、应用题(每题10分,共20分)23. 小明的年龄比小红大6岁,已知小红的年龄为12岁,求小明的年龄。
郑州一八国际联合学校招生试卷解答一填空1.在比例尺是1:8的图纸上,甲乙两个圆的直径比是2:3,那么甲乙两个圆实际的直径比是( )。
分析与解:比的前项和后项同时扩大或缩小相同的倍数(0除外)比值不变,所以甲、乙两个圆实际的直径比还是2:32.甲、乙两个数的和是70,甲数的小数点向左移动一位就等于乙数的41,甲数是( )。
分析与解:甲数的小数点向左移动一位就等于乙数的41,也就是等于乙数的0.25,甲数的小数点不向左移动一位就等于乙数的2.5倍,甲、乙两数合起来就是2.5+1=3.5,又知道甲、乙两个数的和是70,70÷3.5=20这就是较小的乙数,那么甲数是20×2.5=503.按规律在括号里填上适当的数893、141、7912、3712、2316、121,( )。
分析与解:这些数看起来杂乱无章,经过变形后893、846、7912、7424、6948、6496,,可以发现分子的规律是后一个数是前一个数的2倍,分母的规律是依次减5.这样可知括号里的数应该是59192。
4.用15秒可以将一段木料锯成4段,用同样的速度将这根木料锯成5段需要( )秒。
分析与解:用15秒可以将一段木料锯成4段,锯成4段只需要锯3次,每次就需要5秒,用同样的速度将这根木料锯成5段需要锯4次就需要时间20秒。
5.把73化成小数,小数点后第2009位是( )。
分析与解:把73化成小数是0.128574...,每6个数一循环,2009÷6=334…5 小数点后第2009位也就是第335个循环的第五个数应该是7 。
6.分数20001997的分子和分母同时加上一个相同的自然数后得到20012000,加上的这个自然数是( )。
分析与解:原来分子分母相差3,现在相差1,说明分子分母是同时缩小了3倍,即除以3,再把分子2000乘以3的6000,这就应该是加上一个自然数后得到的数,6000-1997=4003,这就是分子分母同时加上的自然数。
…○…………外…………○…………装…………○…………订…………○…………线…………○…………学校:___________姓名:___________班级:___________考号:___________…………内…………○…………装…………○…………订…………○…………线…………○……………………○…………内…………○…………装…………○…………2024年小升初数学(新初一)名校分班分层考试检测卷考试分数:100分;考试时间:100分钟注意事项:1.答题前,填写好自己的姓名、班级、考号等信息,请写在答题卡规定的位置上。
2.选择题、判断题必须使用2B 铅笔填涂答案,非选择、判断题必须使用黑色墨迹签字笔或钢笔答题,请将答案填写在答题卡规定的位置上。
3.所有题目必须在答题卡上作答,在试卷上作答无效。
4.考试结束后将试卷和答题卡一并交回。
一、填空题。
(共39分)1.(本题6分)已知654565⨯=⨯=⨯a b c ,(a 、b 、c 均不为0)。
则a 、b 、c 相比较最大的是( ),最小的是( )。
【答案】 c a【分析】假设式子的值为1,利用求倒数的方法计算出a 、b 、c 的值,最后比较大小即可。
【详解】假设6541565a b c ⨯=⨯=⨯=则56a =,65b =,54c =因为54>65>56,所以c >b >aa 、b 、c 相比较最大的是( c ),最小的是( a )。
【点睛】掌握用求倒数比较大小的方法是解答题目的关键。
2.(本题3分)当x =( )时,1:3x 的比值恰好是13的倒数。
【答案】1【分析】由题意可知,13的倒数是3,1:3x =3,解方程求出未知数的值即可。
【详解】根据题意列出方程: 1:3x =3 解:13x ÷=31133x ÷⨯=3×13x =1所以,当x =( 1 )时,1:3x 的比值恰好是13的倒数。
【点睛】应用等式的性质2求出方程的解是解答题目的关键。
2024学年河南省郑州一八联合市级名校中考联考语文试卷注意事项1.考生要认真填写考场号和座位序号。
2.试题所有答案必须填涂或书写在答题卡上,在试卷上作答无效。
第一部分必须用2B 铅笔作答;第二部分必须用黑色字迹的签字笔作答。
3.考试结束后,考生须将试卷和答题卡放在桌面上,待监考员收回。
一、积累与运用1.下列句子中没有语病的一项是( )A.傅雷以深厚的学养、真挚的父爱,倾听着万里之外儿子的每一次心跳和儿子前进路上可能出现的困难,用一封封的书信传递着自己的惦念。
B.文明是一种修养,这种修养是从日常生活的细节中一点一滴积累起来的,有时生活习惯中的细节才是一个人是否文明的最真实表现。
C.“伸手的人生没滋味,拼搏的人生才幸福。
”宜宾各级政府积极支持贫困户靠自己的努力走上脱贫致富,涌现了一大批不等不靠的自主脱贫典型。
D.央视《经典咏流传》最大的创新点是将传统诗词经典与现代流行相结合,有了这种传承方式,中华优秀传统文化一定能在青少年中开花、生根、结果。
2.下面句子中,没有语病的一项是()A.会不会用心观察,能不能重视积累,是提高写作水平的基础。
B.在阅读文学名著的过程中,常常使我们明白许多做人的道理,悟出人生的真谛。
C.他课上认真听讲,课下有工夫就阅读书刊,全班同学没有一个不说他学习不积极。
D.营造健康文明的网络文化环境,已成为新时期精神文明建设的迫切需要。
3.下列对有关文化和文学常识的表述错误的一项是()A.列子,名寇,又名御寇,郑国人,战国前期思想家,是介于老子与庄子之间道家学派承前启后的重要传承人物。
B.“是日更定矣,余拏一小舟”中“更定”是指第一次打更后,即五更中的一更天,也就是今天的19点到21点。
C.《答谢中书书》《岳阳楼记》《爱莲说》《送东阳马生序》四篇文言诗文标题中的“书”“记”“说”“序”都属于古代文体。
D.2019年是农历己亥年,是属猪人的本命年。
与龚自珍写《己亥杂诗》已隔了一百八十年。
4.依次填入下面横线处的词语,最恰当的一组是()家风,也就是门风,顾名思义,家庭或家族世代相传的风气。
贵阳18中英语(华麟中学)小升初英语试题一英语选择1 This is a really fantastic book. I would like_____ it right now/A reading B read C to read D reads2 --- Do you know_____ to our school? ----Next month.A When does the famous writer comeB when the famous writer comesC When will the famous writer comeD When the famous writer will come3 --- _____do you usually go to see your grandparents?---- Once a week.A How farB How longC How muchD How often4 ----How do you like the film Lost In Thailand?---- It's one of ______film that I have ever seen.A interestingB the most interestingC most interestingD more interesting完形填空阅读下面的短文,掌握其大意,然后从短文后各题所给的A、B、C、D四个选项中,选择最佳选项。
“Did you see that?” Joe said to his friend Bill. “You’re a great shooter!” Bill caught the 1 and bounced it before throwing it again. The ball flew into the net.“Bill, you never 2 !” Joe said admiringly.“Unless I’m in a real game,” Bill complained. “Then I miss all the time.” Joe knew that Bill was 3 . Bill performed much better when he was having fun with Joe in the school yard than he did when he was playing for the school team in front of a large crowd.“Maybe you just need to 4 more,” Joe suggested.“But I practice all the time with you!” Bill objected. He shook his head. “I just can’t play well when people are 5 me.”“You play well when I’m watching,” Joe pointed out.“That’s because I’ve known you since we were five years old,” Bill said with a smile. “I’m just not 6 playing when other people are around.”Joe nodded and understood, but he also had an idea. The next day Joe and Bill met in the school yard again to practice. After a few minutes, Joe 7 himself. “Practice without me,” Joe said to his friend. “I’ll be back in a minute.”Joe hurried through the school building, gathering together 8 he could find—two students, a math teacher, two secretaries, and a janitor. When Joe explained why he needed them, everyone was happy to help. Joe reminded the group to stay 9 as they all went toward the school’s basketball court. As Joe had hoped, Bill was still practicing basketball. He made five 10 in a row without noticing the silent people standing behind him. “Hey, Bill!” Joe called out11 . Bill turned. A look of surprise came over his face. “I just wanted to12 you that you could play well with people watching you,” Joe said. “Now you’ll have nothing to worry about for the next game!”1. A. basketball B. football C. volleyball D. baseball2. A. touch B. miss C. hold D. feel3. A. upset B. right C. active D. different4. A. train B. play C. practice D. enjoy5. A. treating B. shouting C. cheering D. watching6. A. similar B. confident C. successful D. comfortable7. A. excused B. enjoyed C. helped D. suggested8. A. whomever B. whenever C. whatever D. wherever9. A. alone B. silent C. quiet D. safe10. A. balls B. baskets C. steps D. scores11. A. quickly B. loudly C. suddenly D. finally12. A. surprise B. tell C. show D. hope三阅读理解。
郑州一八联合2019-2020学年七年级上学期期中数学试卷一、选择题(每题3分,共30分) 1.12-的相反数是( ) A. 2-B. 2C. 12-D. 12 【答案】D【解析】【详解】因为-12+12=0,所以-12的相反数是12. 故选D. 2.随随随随随随随随随随随随随随随随随随随随随随随.随随随“随随随随”随随随随随随随随随随随28.3随随随随随随随28.3随随随随随随随随随随随随 随A. 828.310⨯B. 92.8310⨯C. 102.8310⨯D. 72.8310⨯【答案】B【解析】分析:将28.3亿化成2830000000,再用科学记数法表示;解:28.3亿=2830000000=2.83╳109;故选B .3.如图,需要添一个面折叠后,才能围成一个正方体,下图中黑色小正方形分别补画正确的是( ) A. B.C. D.【答案】C【解析】【分析】根据正方体展开图的11种特征,在这个图形的上方居右补画一个正方形就属于正方体展开图的“132”结构,能围成一个正方体.【详解】∵小正方形一行3个,一行2个,∴可补画成正方体展开图的“132”结构或“33”结构,选项中只有C符合“132”结构,故选C.【点睛】本题主要是考查正方体展开图的特征,正方体展开图有11种特征,分四种类型,即:第一种:“1 41”结构,即第一行放1个,第二行放4个,第三行放1个;第二种:“222”结构,即每一行放2个正方形,此种结构只有一种展开图;第三种:“33”结构,即每一行放3个正方形,只有一种展开图;第四种:“132”结构,即第一行放1个正方形,第二行放3个正方形,第三行放2个正方形.4.刘谦的魔术表演风靡全国,小明同学也学起了刘谦发明了一个魔术盒,当任意有理数对(a,b)进入其中时,会得到一个新的有理数:a2﹣b﹣1.例如把(3,﹣2)放入其中,就会得到32﹣(﹣2)﹣1=10.现将有理数对(﹣1,﹣2)放入其中,则会得到()A. 0B. 2C. ﹣4D. ﹣2【答案】B【解析】试题解析:由题意可得(-1)2-(-2)-1=1+2-1=2.故选B.考点:有理数的混合运算.5.两个有理数的积为负数,和也为负数,那么这两个数( )A. 都是负数B. 互为相反数C. 绝对值较大的数是正数,另一个是负数D. 绝对值较大的数是负数,另一个是正数【答案】D【解析】根据异号得负和有理数的加法运算法则可得:∵有两个有理数的它们的积为负数,和也为负数,∴这两个数绝对值较大的数是负数,另一个是正数.故选D.6.小明为今年将要参加中考的好友小李制作了一个(如图)正方体礼品盒,六面上各有一字,连起来就是“预祝中考成功”,其中“预”的对面是“中”,“成”的对面是“功”,则它的平面展开图可能是()A. B. C. D.【答案】C【解析】【分析】正方体的表面展开图,相对的面之间一定相隔一个正方形,根据这一特点对各选项分析判断后利用排除法求解:【详解】正方体的表面展开图,相对的面之间一定相隔一个正方形,根据这一特点对各选项分析判断后利用排除法求解:A、“预”的对面是“考”,“祝”的对面是“成”,“中”的对面是“功”,故本选项错误;B、“预”的对面是“功”,“祝”的对面是“考”,“中”的对面是“成”,故本选项错误;C、“预”的对面是“中”,“祝”的对面是“考”,“成”的对面是“功”,故本选项正确;D、“预”的对面是“中”,“祝”的对面是“成”,“考”的对面是“功”,故本选项错误.故选C【点睛】考核知识点:正方体的表面展开图.7.下列各组数中结果相同的是()A. 32与23B. |-3|3与(-3)3C. (-3)2与-32D. (-3)3与-33【答案】D【解析】【分析】利用有理数乘方法则判定即可.【详解】A. 32=9, 23=8,故不相等;B. |-3|3=27,(-3)3=−27,故不相等;C. (-3)2=9, -32=−9,故不相等;D. (-3)3=−27, -33=−27,故相等,故选D.【点睛】此题考查绝对值、有理数的乘方,解题关键在于掌握有理数乘方的运算.8.在数轴上距离表示-3点3个单位长度的数是( )A. 0B. -6C. 0或-6D. 0或6的的【答案】C【解析】【分析】根据题意,画出数轴,观察符合条件点有几个,分别是哪些,就不至于遗漏.【详解】解:如图示,画出数轴,标注原点和-3表示的点,观察数轴上的点到原点的距离等于3个单位长度的点应该在-3的左右各有一个,左边的是-6,右边的是0,故选C.【点睛】本题主要考查数轴的点,解决此类题目的关键是要分类讨论,不要遗漏.9.当x+y=3时,5﹣x﹣y等于()A. 6B. 4C. 2D. 3【答案】C【解析】【分析】将5-x-y化简为5-(x+y),再将x+y的值代入即可求得代数式的值.【详解】∵x+y=3,∴5−x-y=5−(x+y)=5−3=2.故答案选C.【点睛】本题考查的知识点是代数式求值,解题的关键是熟练的掌握代数式求值.10.为方便两个有理数比较大小,现提出了4种新方法:①倒数大的反而小;②绝对值大的反而小;③平方后大的数较大;④把两数求商随若商大于1,则被除数较大;商等于1,则两数相等;商小于1,则除数较大.这四种方法()A. 都正确B. 都不正确C. 只有一个正确D. 有两个正确【答案】B【解析】【分析】根据倒数的意义,可判断①,根据绝对值的意义,可判断②,根据平方的意义,可判断③,根据有理数的除法,可判断④.【详解】①12的倒数是2,﹣2的倒数是﹣12,2>﹣1122,>﹣2,故①错误;②|3|>|2|,3>2,故②错误;③(﹣3)2>(﹣2)2,﹣3<﹣2,故③错误;④2÷(﹣3)=﹣23<1,2>﹣3,故④错误.故选B.【点睛】本题考查了有理数比较大小,注意两数相除异号得负,两负数比较大小,绝对值大的反而小.二、填空题(每题3分,共15分)11.用一个平面去截下列几何体:①正方体;②圆锥;③圆柱;④正三棱柱,得到的截面形状可能为三角形的有 (写出所有正确结果的序号)【答案】①②④.【解析】试题解析:①正方体能截出三角形;②圆锥沿着母线截几何体可以截出三角形;③圆柱不能截出三角形;④正三棱柱能截出三角形.故截面可能是三角形的有3个.考点:截一个几何体.12.若代数式3a 5b m 与-2a n b 2是同类项,m +n = __________.【答案】7【解析】【分析】根据同类项的定义得到n=5,m=2,然后把它们代入m+n 中计算即可.【详解】解:∵代数式53m a b 与22n a b 是同类项,∴5=n ,m=2,即m=2,n=5,∴m+n=2+5=7.故答案为7.【点睛】本题考查了同类项:所含有字母相同,并且相同字母的次数也相同的项叫同类项.13.如图是由一些相同的小正方体构成的立体图形从三个方向看到的图形,那么构成这个立体图形的小正方体有_______个.【答案】7【解析】【分析】利用主视图、左视图中每列中正方形的个数,判断俯视图中正方形的个数,然后得出结果.【详解】解:主视图从左往右2列正方形的个数依次为3,3;左视图从左往右2列正方形的个数依次为3, 1;则俯视图中正方形的个数如下图示:即小正方体有7个,故答案为7.【点睛】考查对三视图掌握程度和灵活运用能力,同时也体现了对空间想象能力方面的考查.如果掌握口诀“俯视图打地基,主视图疯狂盖,左视图拆违章”就更容易得到答案.14.小于33()2 的最大整数是_______随【答案】-4【解析】试题解析:∵(−32)3=-278, -4<-278<-3 ∴不超过(−32)3的最大整数是:-4. 15.己知|x |=3,|y |=5,且|x +y | =x +y ,则x -y =______.【答案】-2或-8【解析】【分析】先由绝对值的性质求得x=±3,y=±5,然后由|x+y|=x+y ,可知x+y≥0,从而可确定出x 、y 的取值情况,然后计算即可.【详解】解:∵|x|=3,|y|=5,∴x=±3,y=±5.∵|x+y|=x+y ,∴x+y≥0.∴x=3,y=5或x=-3,y=5.当x=3,y=5时,x -y=3-5=-2;当x=-3,y=5时,x -y=-3-5=-8.故答案为-2或-8.【点睛】本题主要考查的是绝对值的性质、有理数的加法,由绝对值的性质得到x=3,y=5或x=-3,y=5是解题的关键.三、解答题(共55分)16.计算题 (1)25×34-(-25)×12+25×14 (2)-14×[4-(-3)2]+3÷(-34) 【答案】(1)752;(2)1 【解析】【分析】(1)利用乘法分配律的逆运算进行运算即可;(2)按照运算法则:先算乘方,再算乘除,最后算加减,有括号先算括号里面的进行计算.【详解】解:(1)()311252525424⨯--⨯+⨯ 311252525424=⨯+⨯+⨯31125424⎛⎫=⨯++ ⎪⎝⎭752= (2)()24314334⎡⎤⎣⎦⎛⎫-⨯--+÷- ⎪⎝⎭()414933⎛⎫=-⨯-+⨯- ⎪⎝⎭()541=+-=【点睛】本题考查了有理数的混合运算,熟悉有理数的运算法则是解题的关键.17.先化简,再求值:(1)3x 2+(2 x 2-3x )-(-x +5x 2),其中x =314:(2)(3a 2-ab +7)- (5ab -4a 2+7),其中a =2,b =13 【答案】(1)-628;(2)24.【解析】【分析】(1)原式去括号合并得到最简结果,把x 的值代入计算即可求出值;(2)原式去括号合并得到最简结果,把a 与b 的值代入计算即可求出值.【详解】解:(1)()()2223235x x x x x +---+2223235x x x x x =+-+-2x =-当x =314时,原式2314628=-⨯=-;(2)()22(37 547)a ab ab a --++- 2237547a ab ab a =-+-+-276a ab =- ,当a =2,b =13时, 原式28424=-=【点睛】此题考查了整式的加减-化简求值,熟练掌握运算法则是解本题的关键.18.某路公交车沿东西方向行驶,如果把车站的起点记为0,向东行驶记为正,向西行驶记为负,其中一辆车从车站出发以后行驶的路程如下表(单位:km ):(1)该车最后是否回到了车站?为什么?(2)若每千米耗油0.2升,每升油价是7.5元,则从O 地出发到收工时油费是多少元?【答案】(1)回到了车站;(2)从O 地出发到收工时油费是81元.【解析】【分析】(1)把七个数值相加,再根据有理数加减混合运算的法则计算,计算结果是正数,则是离开车站向东,是负数,则是离开车站向西,等于0,则是回到车站;(2)求出所有路程的绝对值的和,然后再乘以0.2,再乘以7.5即可.【详解】解:(1)(+5)+(-3)+(+10)+(-8)+(-6)+(+12)+(-10),=5-3+10-8-6+12-10,=5+10+12-3-8-6-10.=27-27,=0,∴回到了车站;(2)|+5|+|-3|+|+10|+|-8|+|-6|+|+12|+|-10|,=5+3+10+8+6+12+10,=54(km ).54×0.2×7.5=81(元).∴从O 地出发到收工时油费是81元.【点睛】本题主要考查了有理数加减混合运算,熟练掌握混合运算的顺序是解题的关键.19.如图所示是由几个小立方块所指几何体,请画出相应几何体的主视图(从正面石)、左视图(从左面看)、和俯视图(从上面看):【答案】见解析【解析】【分析】画出从正面,左面,上面看得到的图形即可.【详解】解:主视图从左往右3列正方形的个数依次为3,1,1;左视图从左往右2列正方形的个数依次为3,2,1;俯视图从左往右3列正方形的个数依次为3,2,1.【点睛】考查画三视图的知识;用到的知识点为:主视图,左视图,俯视图分别是从物体的正面,左面,上面看得到的图形.20.如图,在单位长度为1的数轴上有,A 、B 、C 、D 四个点,点A 、C 表示的有理数互为相反数.(1)请在数轴上标出点A 、B 、C 、D 上方标出它们所表示的有理数;(2)A 、C 两点间的距离AC = ,B 、D 两点间距离BD = ;(3)设点P 在数轴表示的有理数是x ,借助数轴解答下列问题:式子|x -4|表示点P 与有理数 所对应的点之间的距离:|x +1|表示点P 与有理数 所对应的点之间的距离;(4)①通过观察可以发现,可以利用绝对值来表示两个有理数在效轴上所对应的点之间的距离,如果数轴上的点M 表示的有理数是x ,点N 表示的有理数是y ,那么M N 两点间的距离可以表示为 .②式子|x -3|+|x +3|的最小值是 .【答案】(1)见解析;(2)6,5;(3)4,-1;(4)①MN =|x -y |,②6.【解析】【分析】(1)根据图示,点A 、C 之间的距离是6,据此求出点A 、C 表示的数是多少,即可求出点B 和D 表示的数是多少,并画数轴即可;(2)直接由两点的坐标之差可得结论;(3)根据绝对值的几何意义,进行解答;(4)①在数轴上M 、N 两点之间距离MN=|x -y|,依此即可求解;②根据数轴上|x -3|+|x +3|的几何意义,进行解答.【详解】解:(1)∵点A 、C 表示的两个数互为相反数,点A 、C 之间的距离是6,∴点C 表示的数是3,A 表示的数是-3,∴点B 表示的数是-1,点D 表示的数是4;如图所示:(2)由数轴得:A 、C 两点间的距离AC =6,B 、D 两点间距离BD =4-(-1)=5;故答案为6,5;(3)式子|x -4|表示点P 与有理数4所对应的点之间的距离:|x+1|表示点P 与有理数-1所对应的点之间的距离;(4)①在数轴上M 、N 两点之间的距离MN=|x -y|,②式子|x -3|表示点P 与有理数3所对应的点之间的距离:|x +3|表示点P 与有理数-3所对应的点之间的距离;在数轴上|x -3|+|x +3|的几何意义是:表示有理数x 的点到-3及到3的距离之和,所以当-3≤x ≤3时,它的最小值为6;【点睛】此题主要考查了数轴上两点间的距离的求法,以及相反数和绝对值的含义和求法,要熟练掌握.的21.自进入秋季以来起,因为天气原因,更多人选择了戴口罩,为了满足市场需求,某厂家生产A、B两种款式的环保口罩,每天共生产500个,两种口罩的成本和售价如下表若设每天生产A口罩x个.(1)用含x的代数式表示该工厂每天的生产成本,并进行化简;(2)用含x代数式表示该工厂每天获得的利润,并将所列代数式进行化简;(利润=售价﹣成本)(3)当x=300时,求每天的生产成本与获得的利润.【答案】(1)﹣2x+3500;(2)x+1000;(3)2900元, 1300元【解析】【分析】(1)根据题意和表格可以得到A款式的成本和B款式的成本,由某厂家生产A、B两种款式的环保口罩,每天共生产500个,可以得到该工厂每天的生产成本,从而可以解答问题;(2)根据题意和表格可以得到A款式的成本和B款式的成本和售价,由某厂家生产A、B两种款式的环保口罩,每天共生产500个,可以得到该工厂每天获得的利润,从而可以解答问题;(3)根据(1),(2)中求出的代数式,可以求得当x=300时,每天的生产成本与获得的利润.【详解】(1)根据题意和表格可知,该工厂每天的生产成本为:5x+7×(500﹣x),化简,得该工厂每天的生产成本为:﹣2x+3500.(2)根据题意和表格可知,该工厂每天获得的利润为:(8﹣5)×x+(9﹣7)×(500﹣x),化简,得该工厂每天获得的利润为:x+1000.(3)当x=300时,每天的生产成本为:﹣2×300+3500=2900(元).当x=300时,每天获得的利润为:300+1000=1300(元).【点睛】本题考查列代数式和代数式求值,解题的关键是能看懂题意和表格,会去括号和合并同类项.22.已知:b是最小的正整数,且a、b满足(c﹣5)2+|a+b|=0.的(1)请求出a、b、c的值;(2)a、b、c所对应的点分别为A、B、C,点P为一动点,其对应的数为x,点P在0到2之间运动时(即0≤x≤2时),请化简式子:|x+1|-|x-1|+2|x+5|(请写出化简过程)(3)在(1)(2)的条件下,点A、B、C开始在数轴上运动,若点A以每秒1个单位长度的速度向左运动,同时,点B和点C分别以每秒2个单位长度和5个单位长度的速度向右运动,假设t秒钟过后,若点B与点C之间的距离表示为BC,点A与点B之间的距离表示为AB.请问:BC-AB的值是否随着时间t的变化而改变?若变化,请说明理由;若不变,请求其值.【答案】(1)-1;1;5;(2)4x+10或2x+12.;(3)不变,理由见解析.【解析】【分析】(1)根据b是最小的正整数,即可确定b的值,然后根据非负数的性质,几个非负数的和是0,则每个数是0,即可求得a,b,c的值;(2)根据x的范围,确定x+1,x-3,5-x的符号,然后根据绝对值的意义即可化简;(3)先求出BC=3t+4,AB=3t+2,从而得出BC-AB=2.【详解】(1)∵b是最小的正整数,∴b=1.根据题意得:c-5=0且a+b=0,∴a=-1,b=1,c=5.故答案是:-1;1;5;(2)当0≤x≤1时,x+1>0,x-1≤0,x+5>0,则:|x+1|-|x-1|+2|x+5|=x+1-(1-x)+2(x+5)=x+1-1+x+2x+10=4x+10;当1<x≤2时,x+1>0,x-1>0,x+5>0.∴|x+1|-|x-1|+2|x+5|=x+1-(x-1)+2(x+5)=x+1-x+1+2x+10=2x+12;(3)不变.理由如下:t秒时,点A对应的数为-1-t,点B对应的数为2t+1,点C对应的数为5t+5.∴BC=(5t+5)-(2t+1)=3t+4,AB=(2t+1)-(-1-t)=3t+2,∴BC-AB=(3t+4)-(3t+2)=2,即BC-AB的不随着时间t的变化而改变.【点睛】本题考查了数轴与绝对值,通过数轴把数和点对应起来,也就是把“数”和“形”结合起来,二者互相补充,相辅相成,把很多复杂的问题转化为简单的问题,在学习中要注意培养数形结合的数学思想.。
贵阳18中英语(华麟中学)小升初数学全面模拟试卷(一)一、选择题1. 设a、b、c是互不相等的三个数,已知a、b、c的和为15,那么a²+b²+c²的最小值是多少?A. 30B. 35C. 40D. 452. 已知正方形ABCD的边长为2,P点在AD边上,CP的长度为1,连接BP并延长交DC于点E,则BE的长度为多少?A. √2B. √3C. √5D. √63. 某公司购进某种铁矿石,每吨进价480元,现行市场价格每吨520元。
该公司认为,如果市场价格上涨到540元,则该公司可以卖出的价格每吨将涨到580元。
根据这些数据,该公司最多可以提高进价多少元每吨而不至于亏本?A. 22B. 24C. 26D. 28二、填空题1. 已知两个数的和是15,差是5,那么这两个数分别是__和__。
2. 若a:b=3:4,b:c=5:6,则a:b:c=__:__:__。
3. 一块长方形的纸,宽是10cm,边长比为3:4,那么纸的长是__cm。
三、解答题1. 一个三位数,其中各位数字相等,若将百位与十位互换,再将十位与个位互换,得到一个新的三位数,新数字是原数字的9倍。
求原数字。
2. 已知直角三角形的两条直角边分别为3cm和4cm,请计算斜边的长度。
3. 某商店有两种苹果,甲种每个单价2元,乙种每个单价3元。
现在小明购买了5个苹果,总共花费了13元。
请问他买了几个甲种苹果,几个乙种苹果?四、应用题1. 甲、乙两人同时从相距180km的两地相向而行,甲的速度是乙的3倍。
3个小时后,两人相遇,求甲的速度。
2. 一个长方体的长、宽、高分别为3cm、4cm、5cm,求它的体积和表面积。
3. 小明参加了一场马拉松比赛,比赛的全程是42.195公里。
小明的速度是每小时12公里,他比第二名领先2公里。
请问,小明比第二名快多少时间到达终点?以上是贵阳18中英语(华麟中学)小升初数学全面模拟试卷(一)的内容。
华麟中学版-贵阳18中英语小升初全真数学模拟试卷(一)说明此模拟试卷是根据贵阳18中的小升初英语数学考试大纲和历年真题编制的,旨在帮助学生更好地备战小升初考试。
本试卷共有20道题目,包括选择题、填空题、解答题和应用题等不同类型的题目。
试卷内容1. 选择题(每题2分,共10分)1.1 下列哪个数是正数?A. -5B. 0C. 3D. -22. 填空题(每题2分,共10分)2.1 5的平方等于______。
3. 解答题(每题10分,共30分)3.1 计算下列表达式的值:3x - 2(x - 5) + 44. 应用题(每题10分,共20分)4.1 小明的年龄比小红大5岁,已知小红的年龄是8岁,求小明的年龄。
5. 选做题(每题10分,共20分)5.1 画出一个边长为5的正方形,并计算其面积。
答案解析1. 选择题答案:C解析:正数是指大于0的数,因此3是正数。
2. 填空题答案:25解析:5的平方等于5 × 5 = 25。
3. 解答题答案:x² - 6x + 14解析:将表达式展开并合并同类项得到 x² - 6x + 14。
4. 应用题答案:小明13岁解析:小明的年龄是小红年龄的基础上加上5岁,即 8 + 5 =13岁。
5. 选做题答案:面积为25平方单位解析:正方形的面积等于边长的平方,即5 ×5 = 25平方单位。
注意事项1. 本试卷的答案解析仅供参考,实际解答过程中可能存在多种解法。
2. 学生在解答题目时,应注意审题和检查答案的准确性。
3. 模拟试卷的目的是帮助学生熟悉考试题型和提高解题能力,因此在备考过程中,学生还需多做真题和模拟题,总结解题技巧和方法。
祝同学们考试顺利!。
一八联合国际学校小升初试题一.选择填空,填序号。
( ) 1.Erin was always------in class.a.talkb. talksc.talkingd.talked( )2.Their parents take them------ every week.a.playb.to playc.playingd.played( )3.How about------the man over there.a.askb.asksc.askedd.asking( )4.I don’t like this snow,but my mom------.a.likesb.doesc.dod.like( )5.He often------us interesting stories.a.tellsb.talksc.speaksd.says( )6.There are------people------vacation in Shanghai.a.many inb.much inc.much ond.many on( )7.We enjoy------music every day.a.listen tob.listenc.listening tod.listening( )8.This book is a bit hard,------read something easier?a.why notb.why don’tc.why not youd.why you()9.The classroom------every day.a.should be cleaningb.should be cleanedc.should cleand.should cleaned( )10.They’re------Australia.We are Chinese.e fromb.froming from二.句型转换。
按要求完成下列各句。
每空一词。
1.My father is leaving for Beijing tomorrow.(就划线部分提问--------is -------father--------for Beijing?2.How’s the weather there? (改为同义句)--------the weather -------- there?3.She thinks you’re just joking.(改为否定句)She --------think you--------just joking.4.There is something wrong with the restaurant.(改为一般疑问句)-------- -------- -------- wrong with the restaurant?三.完形填空。
Last year we had ( 1 ) English teacher from U.S.A. We called ( 2 )Mr.Black.He taught us very well.He was strict (3 )us all. In class,he always ( 4 )us more time to speak English.At first I could hardly understand a word. I could not say a sentence,neither.But soon I found English ( 5 )so difficult and I could talk to my classmates in English. So I become very interested in it. Now Mr.Black ( 6 )in another school. This year we have a new teacher, Miss Green .She also ( 7 )very carefully.She often ( 8 ) us to recite(背诵) the texts and play ( 9 ).With the help of the two teachers,We all have made great progress.(进步)。
I feel more interested in this ( 10 ) now.()1.A.aB.anC.不填D.the()2. A. he B. his C.him D.it( )3.A. on B.for C.at D.with( )4.A.gives B.give C.gave D.gaves( )5.A.isn’t B.wasn’t C.weren’t D.is( )6.A.worked B.has worked C.is working D.have worked( )7.A.taught B.teach C.teaches D.teaching( )8.A.asks B.asked C.has asked D.asking( )9.A.ball B.games C.football D.tennis( )10.A.topic B.game C.program D.subject智力部分(5分)1. Do you know which two letters are in CANDY?2. One plus five is nine. Why? (answer in Chinese.)3. If you think a child is occasionally more clever than an adult, please put a cross on the line.4. Please write AS if you think five times ten is fifty, if not please write 50 on the line.5. Which letter is important for a deaf (聋的)man?东分小升初真题一、Phonetic语音(3分)please[ ] park [ ] those[ ] sheep[ ] usually[ ] bread[ ]二、Fill in the blanks首字母填空(5分)1.--What is your f____________ color? -- I like blue best.2. W____________ is the fourth day of the week.3.I always have dinner with my p__________ every weekend. We are a happy family.4.Beijing is the c__________ of China.5.Both of my two brothers want to w________ the new movie this Friday.三、Fill in the blanks with the words given用所给单词的适当形式填空。
(10分)1.Would you like ___________ (go) to a movie in the evening?2.The ___________ (child) are doing their homework.3.My mother often ____________ (play) the piano in her free time.4.My ruler is at home. May I use ____________ (you)?5.Jay Chou is one of the best ____________ (sing).6.The supermarket is too____________ (noise). I don't like it.7.I like __________ (watch) TV in the evenings.8.Ben is a little ________ (tall) than me.9.___________ (thief) are afraid of the policemen.10.Thanks for __________(help) me.四、词语运用(每小题0.5分,共5分)阅读短文,从方框中选择适当的词填空,使短文意思通顺完整。
每空一词,每词限用一次。
bring because family spend getting talking thinkhealth studies wellMany people 1__________ if you turn off your TV, your life will be colorful. They also say that TV can 2__________ children big problems. First, it’s bad for your 3__________. You 4__________ too much time on TV. You can’t do 5__________ in school. Second, it’s bad for your 6__________. You will be overweight 7__________ you watch too much TV. And your eyesight is 8__________ worse. Third, it’s no good for your 9__________ life. When you r family are watching TV, you don’t talk much. But family members need to spend time 10__________ with each other.五、阅读理解。
(每小题1分,共7分)阅读短文,根据短文内容完成文章后的五个句子。
(每空一词)One day Bob took two of his friends into the mountains. They put up their tents (帐篷) and then went to a forest to see how the trees were growing. In the afternoon when they were about ten kilometers from their camp(营地), it started to snow. Soon Bob could hardly see his hands before his face. He could not find the road. Bob knew there were two roads. One road went to the camp, and the other went to his house. But all was white snow. How could he take his friends back to the camp? Bob had an idea. The horses! Let the horses take them back!But what would happen if the horses took the road to his house? That would be a trip of thirty-five kilometers in such cold weather!It was getting late. They rode on and on. At last the horses stopped. Where were they? John looked around. What was that under the tree? It was one of their tents!1. Bob and two of his friends went to a _________ to see how the trees were growing.2.It’s hard for Bob to see his _________ before his face in the afternoon.3.Bob could not find the two roads, because all was __________ snow.4.There were ________ roads ,so they didn’t kno w which one to go.5.It is was ____________ kilometers from the forest to Bob’s house.6.At last, they stopped in front of _________.7.The __________ took them back to the camp.六、Translation汉译英(10分)1.我有两个姐姐,一个是医生,另一个是教师。