2017上外附中面谈试题+解析(1)
上外附中面试题.-2doc
上外附中面试题英语卷现在教室里面戴上耳机准备,另外一个人坐着考试一、快听快答(1.2题!是不能准备的,都是生活里的之类的)2015: 1:李连杰的壹基金英文叫什么:ONE Foundation2. 谜语:if you have it , you want to share it, if you share it , you don’t have it. secret3. He left his umbrella here again. (用完整的感叹句回答)答案:How careless he is! ; What a careless man! 之类的4. 先是读5个单词,第二遍读四个单词,问漏读了哪个词?第一遍:computer, number, picture, teacher, remember第二遍:(漏读了picture)5. 听几个单词,思考属于哪一个种类,再举两个例子Tokyo, Paris,London (应该还有一个词,也是首都)举例:首都就可以了(没提到过的)二、模仿(单词、词组、句子各读两遍)government, government句子是英语,挺短的,最多十个词语,像谚语、俗语这种似的三、听短文,填空(短文读两遍)Dick is a doctor in USA, he w—填词---- 60 hours a week, he has to take care of 150 patients a week……He has his own TV show, he always sings a song and give some medical advises at the beginning of the show. Then he sings some other songs.Dick’s favorite song is love song, he has a CD of love song, which is wrote by himself. But his father didn’t want him to be a s—填词----- when he was a Child, so he has to go to medical school. Dick says that medicine and m—填词----- both have been used to make people happier……..四、看一篇阅读(能准备的),回答问题五、看一首儿歌,想像说话Deedle, deedle, dumpling, my son JohnGo to bed with stockings onOne shoe off and one shoe onDeedle, deedle, dumpling, my son John英语部分:1 快听快答:a. Can you tell me the way to Shanghai Museum? If I can take the Metro, which line can I take?b. There are many ways to make an advertisement, like in newspaper. Can you give 3 more examples?c. If you need 6 minutes to boil an egg, how long do you need to boil 3 eggs?d. 一堆数字运算2.模仿a. 单词b. 单词c. 句子3.听力关于Computer的文章一段(根据回忆的关键词找到这段与听到的内容基本相符)The computer is a machine that works very fast It can add numbers much faster than a person can, It can remember better than a person. It can do many other things. At school a computer can do maths. It can help boys and girls read, write and spell. It can remember the names of all the students in the school. Computer can help people drive cars and fly planes. A spaceship needs many computers. Telephones and televisions use computers, too. Some computers, called fax machines, can send letters. The letters travel very fast. A computer can remember what is in a store. It knows all the prices. It tells you how much to pay. It gives you change. Computers can play games, too .A computer named Big Blue is very good at playing chess. It beat the best chess player in the world. Computers are changing the way we live. Many people think that in the future computers will be used in lots and lots of everyday life.a. Which of the following is the meaning of the text?Computer can make human life betterb. Which of 3 following is mentioned in the text?四个去掉一个Spaceship needn’t any computer.4. 阅读一篇有四段的文章大意:Dick is a doctor in USA, he w—填词---- 60 hours a week, he has to take care of 150 patients a week……He has his own TV show, he always sings a song and give some medical advises at the beginning of the show. Then he sings some other songs.Dick’s favorite song is love song, he has a CD of love song, which is wrote by himself. But his father didn’t want him to be a s—填词----- when he was a Child, so he has to go to medical school. Dick says that medicine and m—填词----- both have been used to make people happier……..根据大意,搜到根据以下文字改编(2002 年江苏省中考阅读题)B. The Singing DoctorNick Petrella is a doctor in Montreal. He works 60 hours a week. He takes care of 159 patients a week in the hospital and at h is office. He’s been a doctor for ten years.Dr. Petrella gives his patients good medical advice. But he doesn’t just tell his patients what to do. He also sings to them on television! Dr. Petrella has his own TV show. The show is in Italian, English and French. The doctor starts the show with a song and then gives medical advice. He explains a medical problem or disease in simple language. After that, he sings another song.Dr. Petrella produces and performs in his own show every week. The program is very popular with his patients and with people who enjoy his singing. His dream is to perform(表演)in Las Vegas. His favorite songs are love songs, and he has a compact disk of love songs that he wrote. Dr. Petrella says, “I always loved to sing. All my problems are gone when I sing.” But when Dr. Petrella was young, his father didn’t want him to be a singer, So he went to medical school.Some people tell Dr. Petrella he can help people more as a doctor. But Dr. Petrella says he helps people when he sings, t oo. “I like to make people smile. Sometimes it’s difficult to make a sick person smile. Medicine and entertainment(娱乐)both try to do the same thing. They try to make people feel good.”a. 概括第3/4段的大意;b. 问题1. How many patients did Dick have to take care of in a week?2. What will Dick do at the beginning of the show?3. 一个句子He explains a medical problem or disease in simple language,应该插在文章中那里?5.漫画(主题似乎源于ET外星人电影)第一幅:一个人在花园里走,来了一只飞碟第二幅:从飞碟了走出一个奇怪的外星人第三幅:这个人给了外星人很多好吃的第四幅:大问号,根据漫画遍一段话提示词:strange man, land, spaceship, friendly英语部分:一、快速应答(大概有三四句)二、听七个单词,然后回答第三和第六个单词是什么三、跟读模仿1、单词(三四个)2、词组3、句子(一句)四、听短文(女儿讲文章是关于拉链设计方面的)1、听第一遍,回答文中哪两句与文章内容没有关系2、听第二遍,回答问题,共4个五、阅读1、朗读第一第二小节2、填上所缺单词六、作文根据所给的内容续编寓言故事,并讲出寓意。
上外附中小升初面试试题
上外附中小升初面试试题面谈分两大块:一是英语,二是综合(语、数及常识)英语共50分,大约5~6分钟的准备时间,答题也是5~6分钟。
我的考题大致是:1、听录音,快速应答(3题)。
共3分2、听录音,模仿2个单词、1句句子(每个读两遍)。
共6分3、听短文,根据内容为所给4幅图片排序。
共8分4、看短文,根据文章内容,按自己的理解填句子(口头表达)。
共6分5、朗读短文,并填单词。
朗读8分,填空5分,共13分6、看广告30秒,回答3个问题。
共9分7、根据所给的8个单词,选5个,说一篇不少于5句的口头作文。
共5分总结:要想在英语中拿高分,我认为最重要的是日积月累的英语功底。
综合考题明天再说,我要做作业了。
希望能给4升5的、有志于考上外附中的小朋友有所帮助。
综合卷综合共20分,6分钟准备,6分钟回答。
考题:1、将一个6个面的图案各不相同的正方体的展开图拼成一个正方体,选择6个给出的正方体中不可能拼成的一个。
3分2、给出一个表格,如下:1 2 3 4 5 6 7 8 9 10 11 12 13 1 4 …北京奥运会北京奥运会北京奥运…传递圣火传递圣火传递圣火传递…问第72列是哪两个字。
3分3、关于真假话的逻辑推理。
4分4、2道常识题:共2分如:巴西在哪个洲?中国“三大火炉”是那三个城市?人体最不怕冷的部分?圆顶建筑有什么优点?……5、从所给对联中找出4个中国古代朝代。
共2分。
6、背出所给一首古诗中的描写XX的一句诗以及有关于作者的其它作品。
共3分7、根据所给主题叙述一篇口头作文。
如家里的新闻、以PK来论述你的“好男儿”梦想等等综合部分:一、长城上的最重要的关——山海关二、活化石是什么——银杏三、念奴娇.赤壁怀古中羽扇纶巾指的是谁——周瑜四、“山不在高,有仙则名;水不在深,有龙则灵”是(刘禹锡)的作品,他还有一首诗中有一句“朱雀桥边野草花”,后面这句是(乌衣巷口夕阳斜),朱雀桥在六大古都之一的(南京)五、阅读1、有感情朗读:文章写的是关于一只小蚂蚁在牛角中走路的故事,先是越走路越窄,后来换了个方向后,路越走越宽,来到了()的大海边。
上外附中面试题
上外附中面试题
1. 自我介绍
请以自我介绍开始,简单说一下自己的姓名、年龄、就读学校以及兴趣爱好等方面的内容。
同时,可以适当陈述自己的优势和特长,以便面试官更好地了解你。
2. 学术方面问题
•你觉得自己在哪些学科上有优势?
•是否参加过学科竞赛或获得过相关学科的奖项?
•理科与文科,你更喜欢哪个方向?
•介绍一下你在学术方面的研究或项目经历。
3. 课外活动与社团参与
•你参加过哪些课外活动或社团?
•是否担任过社团干部或有其他相关经历?
•如果你担任过领导职务,请分享一下你的领导风格和取得的成绩。
4. 个人成就与经验
•你在什么方面取得过个人成就?
•是否有过国内或国际性的比赛获奖经验?
•如果你曾经参加过特殊项目或经验,可以详细介绍一下。
5. 领导与沟通能力
•你是否有过领导经验?
•你在项目组织或团队合作中的角色是什么?
•你如何处理与队员或团队成员的沟通与冲突?
6. 未来规划与动力
•你对于将来的规划是怎样的?
•为什么想要进入上外附中?
•进入上外附中后,你有什么样的学习和发展期望?
7. 一般性问题
•你是否有任何问题向面试官咨询?
•你在面试中有何期望和希望?
结语
上述问题仅供参考,面试官可能根据实际情况提出其他问题。
在面试过程中,请保持自信、冷静,并且真实地回答问题。
面试官更看重你的思考能力和个性特质,通过面试,他们希望了解你是否适合进入上外附中这样的高水平学府。
愿你顺利通过面试,实现自己的学业与职业目标!。
上外附中面谈试题+解析
2017上外附中面谈试题(英语)4月23日英语口语试题1,快问快答1)which sport do you like best2)What’s your favorite food3)The people there like to eat spicy and hot food. They also like to eathot-pot. It’s the hometown of giant pandas, which city is it2,看音标读词1)[?nd?'v?dj?(?)l]2)句子读两遍,要求跟读3,听短文回答问题4,听文章回答(Winnie the Pooh)5,阅读文章回答问题:(鲁滨孙漂流记)中节选的段落.....I gave him th is name because of the m_____ of date ……….He took me to the place where he b____ the two men…..1)Please say the name of the book and where this passage comes from.2)Please say your answer. _______, _____________.6,阅读理解1)请大声朗读文章2)情报处选择的编号。
(ABCD中那句话与原文相符)3)听录音,根据文章回答问题。
(不可看文章)4)归纳文章中心,补全句子。
7,口头作文。
(与3E英语里的,free talk类似)看图说话分析:1. 这次考试的总分数情况任然没有变,是90分。
英语依然一家独大占到了40分,数学和综合分别是30分和20分。
2. 以英语为例子,英语的听力难度整体并没有上升,但是对于孩子对于文章整体性的掌握是非常高的。
比如英语短文的听力,文章非常短(具体单词量不好透露)。
比如一篇文章中讲到了进化论的作者。
第一个问题提问文章中提到的人,也就是进化论的作者达尔文是什么身份。
2016-2017学年上海市上外附中高一上期末(带参考答案)
2016-2017学年上海市外国语大学附属外国语学校高一(上)期末数学试卷一、填空题1.(3分)已知集合A={1,t,2t},B={1,t2},若B⊆A,则实数t=.2.(3分)不等式的解集是.3.(3分)函数的定义域为.4.(3分)函数的单调递增区间为.5.(3分)下列四个函数中偶函数的序号为①②③④f(x)=x2+x﹣2.6.(3分)函数的值域.7.(3分)抛物线形拱桥,桥顶离水面2米时,水面宽4米,当水面下降了1.125米时,水面宽为.8.(3分)若,则x2+y2的取值范围是.9.(3分)若2x+2y=5,则2﹣x+2﹣y的最小值为.10.(3分)已知函数的定义域为R+,且对任意的正实数x,y都有f(x+y)=f(x)+f(y),若f(8)=3,则=.11.(3分)函数y=f(x)是定义在R上的增函数,y=f(x)的图象经过点A(0,﹣1)和点B时,能确定不等式|f(x+1)|<1的解集恰好为{x|﹣1<x<2},则点B的坐标为.12.(3分)已知函数f(x)=ax2+bx+c(a≠0),设函数y=[f(x)]2+p•f(x)+q 的零点所组成的集合为A,则以下集合不可能是A集合的序号为.①②③{﹣2,3,8}④{﹣4,﹣1,0,2}⑤{1,3,5,7}.二、选择题(每题满分16分,满分16分)13.(4分)关于幂函数y=x k及其图象,有下列四个命题:①其图象一定不通过第四象限;②当k<0时,其图象关于直线y=x对称;③当k>0时,函数y=x k是增函数;④y=x k的图象与y=x﹣k的图象至少有两个交点其中正确的命题个数是()A.0个 B.1个 C.2个 D.3个14.(4分)若a,b∈R且ab≠0,则成立的一个充分非必要条件是()A.a>b>0 B.b>a C.a<b<0 D.ab(a﹣b)<015.(4分)若存在实数a,使得函数在(0,+∞)上为减函数,则实数a的取值范围是()A.a<0 B.a≤﹣1 C.﹣2≤a≤﹣1 D.﹣2≤a<016.(4分)用计算器演算函数y=f(x)=x x,x∈(0,1)的若干值,可以猜想下列命题中真命题只能是()A.y=f(x)在区间(0,0.4)上递减B.y=f(x)在区间(0.35,1)上递减C.y=f(x)的最小值为f(0.4)D.y=f(x)在(0.3,0.4)上有最小值三、解答题(满分为48分)17.(8分)已知f(x)是定义在R上的奇函数,当x≥0时,f(x)=x2﹣x;(1)求函数f(x)的解析式;(2)求不等式f(x)<0的解集.18.(8分)关于x的不等式组的解集为A,若集合A中有且仅有一个整数,求实数k的取值范围.19.(8分)为了保护一件珍贵文物,博物馆需要在一种无色玻璃的密封保护罩内充入保护气体.假设博物馆需要支付的总费用由两部分组成:①罩内该种气体的体积比保护罩的容积少0.5立方米,且每立方米气体费用1千元;②需支付一定的保险费用,且支付的保险费用与保护罩容积成反比,当容积为2立方米时,支付的保险费用为8千元.(1)求博物馆支付总费用y与保护罩容积V之间的函数关系式;(2)求博物馆支付总费用的最小值.20.(10分)已知函数.(1)若f(x)<2x在(1,+∞)上恒成立,求实数a的取值范围;(2)若函数y=f(x)在[m,n]上的值域是[m,n],求实数a的取值范围.21.(14分)已知定义在(0,+∞)上的函数f(x)满足下列条件:①f(x)不恒为0;②对任意的正实数x和任意的实数y都有f(x y)=y•f(x).(1)求证:方程f(x)=0有且仅有一个实数根;(2)设a为大于1的常数,且f(a)>0,试判断f(x)的单调性,并予以证明;(3)若a>b>c>1,且2b=a+c,求证:f(a)•f(c)<[f(b)]2.2016-2017学年上海市外国语大学附属外国语学校高一(上)期末数学试卷参考答案与试题解析一、填空题1.(3分)已知集合A={1,t,2t},B={1,t2},若B⊆A,则实数t=2.【解答】解:集合A={1,t,2t},B={1,t2},若B⊆A,可知t2=t或t2=2t.∴t=2(t=0或1舍去)故答案为:2.2.(3分)不等式的解集是.【解答】解:由得,,则(3x﹣2)(5﹣3x)>0,即(3x﹣2)(3x﹣5)<0,解得,所以不等式的解集是,故答案为:.3.(3分)函数的定义域为(﹣∞,﹣] .【解答】解:函数,∴﹣8≥0,可化为21﹣3x≥23,即1﹣3x≥3,解得x≤﹣,∴f(x)的定义域为(﹣∞,﹣].故答案为:(﹣∞,﹣].4.(3分)函数的单调递增区间为[﹣2,2] .【解答】解:令g(x)=﹣x2+4x+12=﹣(x﹣2)2+16,令g(x)≥0,解得:﹣2≤x≤6,而g(x)的对称轴是:x=2,故g(x)在[﹣2,2)递增,在(2,6]递减,故函数f(x)在[﹣2,2]递增,故答案为:[﹣2,2].5.(3分)下列四个函数中偶函数的序号为①④①②③④f(x)=x2+x﹣2.【解答】解:①函数f(x)的定义域是R,因为=f(x),所以函数f(x)是偶函数,②函数f(x)的定义域是{x|x≠0},因为=﹣f(x),所以函数f(x)是奇函数,③由得﹣1≤x≤1,则f(x)的定义域是[﹣1,1],因为=﹣f(x),所以函数f(x)是奇函数,④函数f(x)的定义域是{x|x≠0},因为f(﹣x)=(﹣x)2+(﹣x)﹣2=x2+x﹣2=f(x),所以函数f(x)是偶函数,综上得,是偶函数的序号①④,故答案为:①④.6.(3分)函数的值域(﹣∞,1] .【解答】解:由1﹣2x≥0解得,x≤,此函数的定义域是(﹣∞,],令t=,则x=,且t≥0,代入原函数得,y=+t=﹣t2+t+=﹣(t﹣1)2+1,∵t≥0,∴﹣(t﹣1)2≤0,则y≤1,∴原函数的值域为(﹣∞,1].故答案为:(﹣∞,1].7.(3分)抛物线形拱桥,桥顶离水面2米时,水面宽4米,当水面下降了1.125米时,水面宽为5m.【解答】解:如图建立直角坐标系,设抛物线方程为x2=my,将A(﹣2,﹣2)代入x2=my,得m=﹣2∴x2=﹣2y,代入D(x0,﹣3.125)得x0=2.5,故水面宽为5m故答案为:5m.8.(3分)若,则x2+y2的取值范围是[1,] .【解答】解:由题意:,,设x=cosθ﹣2,y=2sinθ,那么:x2+y2=(cosθ﹣2)2+4sin2θ=cos2θ﹣4cosθ+4+4sin2θ=cos2θ﹣4cosθ+8﹣4cos2θ=,当时,x2+y2取值最大值为.当cosθ=1时,x2+y2取值最小值为1.则x2+y2的取值范围是[1,]故答案为:[1,]9.(3分)若2x+2y=5,则2﹣x+2﹣y的最小值为.【解答】解:若2x+2y=5,则2≤5,故2x+y≤,则2﹣x+2﹣y=≥5×=,当且仅当x=y时“=”成立,故答案为:.10.(3分)已知函数的定义域为R+,且对任意的正实数x,y都有f(x+y)=f(x)+f(y),若f(8)=3,则=.【解答】解:∵函数的定义域为R+,且对任意的正实数x,y都有f(x+y)=f(x)+f(y),∴,f(2)=2f(1),f(8)=2f(4)=4f(2)=8f(1)=3,∴f(1)=,f(2)=2f(1)=,f()=,∴f()=f(2)+f()==.故答案为:.11.(3分)函数y=f(x)是定义在R上的增函数,y=f(x)的图象经过点A(0,﹣1)和点B时,能确定不等式|f(x+1)|<1的解集恰好为{x|﹣1<x<2},则点B的坐标为(3,1).【解答】解:由题意不等式|f(x+1)|<1的解集为{x|﹣1<x<2}.即﹣1<f(x+1)<1的解集为{x|﹣1<x<2}.又已知函数y=f(x)是定义在R上的增函数.故设t=x+1,根据单调性可以分析得到值域为(﹣1,1)所对应的定义域为(0,3)故可以分析到y=f(x)的图象过点(0,﹣1)和点(3,1),故B(3,1),故答案为:(3,1).12.(3分)已知函数f(x)=ax2+bx+c(a≠0),设函数y=[f(x)]2+p•f(x)+q 的零点所组成的集合为A,则以下集合不可能是A集合的序号为②④.①②③{﹣2,3,8}④{﹣4,﹣1,0,2}⑤{1,3,5,7}.【解答】解:f(x)=ax2+bx+c的对称轴为直线x=﹣,设函数y=[f(x)]2+p•f(x)+q的零点为y1,y2,则必有y1=ax2+bx+c,y2=ax2+bx+c,方程y1=ax2+bx+c的两个解x1,x2要关于直线x=﹣对称,也就是说2(x1+x2)=﹣,同理方程y2=ax2+bx+c的两个解x3,x4也要关于直线x=﹣对称那就得到2(x3+x4)=﹣,①可以找到对称轴直线x=②不能找到对称轴直线,③{﹣2,3,8}可以找到对称轴直线x=3,④{﹣4,﹣1,0,2}不能找到对称轴直线,⑤{1,3,5,7}可以找到对称轴直线x=4,故答案为:②④.二、选择题(每题满分16分,满分16分)13.(4分)关于幂函数y=x k及其图象,有下列四个命题:①其图象一定不通过第四象限;②当k<0时,其图象关于直线y=x对称;③当k>0时,函数y=x k是增函数;④y=x k的图象与y=x﹣k的图象至少有两个交点其中正确的命题个数是()A.0个 B.1个 C.2个 D.3个【解答】解:关于幂函数y=x k及其图象:①其图象一定不通过第四象限;因为x>0时,y=xα>0,故幂函数图象不可能出现在第四象限,故正确;②当k<0时,如幂函数y=x﹣1其图象不关于直线y=x对称;故错误;③当k>0时,函数y=x k是增函数;如k=2,不成立,故错误;④如y=x2和y=1个交点,故错误;故选:B.14.(4分)若a,b∈R且ab≠0,则成立的一个充分非必要条件是()A.a>b>0 B.b>a C.a<b<0 D.ab(a﹣b)<0【解答】解:a,b∈R且ab≠0,则⇔|a|<|b|,因此成立的一个充分非必要条件是a<b<0.故选:C.15.(4分)若存在实数a,使得函数在(0,+∞)上为减函数,则实数a的取值范围是()A.a<0 B.a≤﹣1 C.﹣2≤a≤﹣1 D.﹣2≤a<0【解答】解:根据题意,若函数在(0,+∞)上为减函数,当0<x≤1时,f(x)=﹣x2+2(a+1)x+4递减,有a+1≤0,当x>1时,f(x)=xa为减函数,必有a<0,综合可得:,解可得﹣2≤a≤﹣1;故选:C.16.(4分)用计算器演算函数y=f(x)=x x,x∈(0,1)的若干值,可以猜想下列命题中真命题只能是()A.y=f(x)在区间(0,0.4)上递减B.y=f(x)在区间(0.35,1)上递减C.y=f(x)的最小值为f(0.4)D.y=f(x)在(0.3,0.4)上有最小值【解答】解:0.10.1≈0.79,0.20.2≈0.72,0.30.3≈0.70,0.350.35≈0.6925,0.40.4≈0.6931,0.50.5≈0.71;∴判断出f(x)在区间(0,0.4)上递减错误,在(0.35,1)上递减错误,f(x)的最小值为f(0.4)错误;∴排除选项A,B,C,得出D正确.故选D.三、解答题(满分为48分)17.(8分)已知f(x)是定义在R上的奇函数,当x≥0时,f(x)=x2﹣x;(1)求函数f(x)的解析式;(2)求不等式f(x)<0的解集.【解答】解:(1)设x<0,则﹣x>0,∵当x≥0时,f(x)=x2﹣x,∴f(﹣x)=x2+x,∵f(x)是定义在R上的奇函数,∴f(x)=﹣f(﹣x)=﹣x2﹣x,∴当x<0时,f(x)=﹣x2﹣x,综上所述,f(x)=;(2)当x≥0时,f(x)=x2﹣x<0,∴0<x<1;当x<0时,f(x)=﹣x2﹣x<0,∴x<﹣1或x>0,∴x<﹣1,综上所述,不等式f(x)<0的解集为{x|x<﹣1或0<x<1}.18.(8分)关于x的不等式组的解集为A,若集合A中有且仅有一个整数,求实数k的取值范围.【解答】解:解不等式x2﹣x﹣2>0得x<﹣1或x>2.解方程2x2+(2k+5)x+5k=0得x1=﹣,x2=﹣k.(1)若﹣k即k时,不等式2x2+(2k+5)x+5k<0的解为﹣k<x<﹣,此时不等式组的解集为A=(﹣k,﹣),∵集合A中有且仅有一个整数,∴﹣4≤﹣k<﹣3,解得3<k≤4.(2)若﹣k>﹣即k<时,不等式2x2+(2k+5)x+5k<0的解为﹣<x<﹣k,此时不等式组的解集为A=(﹣,﹣k)或A=(﹣,﹣1)或A=(﹣,﹣1)∪(2,﹣k),∵集合A中有且仅有一个整数,∴﹣2<﹣k≤3,解得﹣3≤k<2.综上,k的取值范围是(3,4]∪[﹣3,2).19.(8分)为了保护一件珍贵文物,博物馆需要在一种无色玻璃的密封保护罩内充入保护气体.假设博物馆需要支付的总费用由两部分组成:①罩内该种气体的体积比保护罩的容积少0.5立方米,且每立方米气体费用1千元;②需支付一定的保险费用,且支付的保险费用与保护罩容积成反比,当容积为2立方米时,支付的保险费用为8千元.(1)求博物馆支付总费用y与保护罩容积V之间的函数关系式;(2)求博物馆支付总费用的最小值.【解答】解:(1)设,把x=2,y=8000代入,得k=16000…(3分)(V>0.5)…(8分)(2)…(11分)当且仅当,即V=4立方米时不等式取得等号所以,博物馆支付总费用的最小值为7500元.…(14分)20.(10分)已知函数.(1)若f(x)<2x在(1,+∞)上恒成立,求实数a的取值范围;(2)若函数y=f(x)在[m,n]上的值域是[m,n],求实数a的取值范围.【解答】解:(1)若f(x)<2x在(1,+∞)上恒成立,得a﹣<2x即a<+2x,记g(x)=+2x,在(1,+∞)上是增函数,得g(x)>g(1)=3,所以:a≤3(2)函数y=f(x)的定义域为(﹣∞,0)∪(0,+∞)ⅰ)当n>m>0时,f(x)在[m,n]上是增函数,故,解得:a>2;ⅱ)当0>n>m时,f(x)在[m,n]上是减函数,故,解得:a=0;所以:a∈{0}∪(2,+∞).21.(14分)已知定义在(0,+∞)上的函数f(x)满足下列条件:①f(x)不恒为0;②对任意的正实数x和任意的实数y都有f(x y)=y•f(x).(1)求证:方程f(x)=0有且仅有一个实数根;(2)设a为大于1的常数,且f(a)>0,试判断f(x)的单调性,并予以证明;(3)若a>b>c>1,且2b=a+c,求证:f(a)•f(c)<[f(b)]2.【解答】(1)证明:令y=0,∵对任意的正实数x和任意的实数y都有f(x y)=y•f (x).则f(1)=0,因此x=1是方程f(x)=0一个实数根.先证明以下结论:设0<a,a≠1时,假设x,y>0,则存在m,n,使x=a m,y=a n,∵对任意的正实数x和任意的实数y都有f(x y)=y•f(x).∴f(xy)=f(a m a n)=f(a m+n)=(m+n)f(a),f(x)+f(y)=f(a m)+f(a n)=mf(a)+nf(a)=(m+n)f(a).则f(xy)=f(x)+f(y).令y=0,则f(x)=0,若方程f(x)=0还有一个实数根,可得f(x)≡0.与已知f(x)不恒为0矛盾.因此:方程f(x)=0有且仅有一个实数根;(2)设x y=ac,则y=log x ac,∴设x0∈(0,1),则f()=(log a x0)f(a)<0,设x1,x2为区间(0,+∞)内的任意两个值,且x1<x2,则0<<1,由(1)可得:f(x1)﹣f(x2)=f(•x2)﹣f(x2)=f()+f(x2)﹣f(x2)=f()<0所以f(x1)<f(x2),所以f(x)在(0,+∞)上是增函数.(3)设x y=ac,则y=log x ac,∴f(ac)=f(x y)=yf(x)=(log x ac)f(x)=(log x a+log x c)f(x)=(log x a)f(x)+(log x c)f(x)=f()+f()=f(a)+f(c)∵b2=ac,∴f(b2)=f(ac),即2f(b)=f(a)+f(c),f(b)=[f(a)+f(c)],∴[f(b)]2﹣f(a)•f(c)=[]2﹣f(a)•f(c)=[]2,下面证明当x≠1时,f(x)≠0.假设存在x≠1,f(x0)=0,则对于任意x≠1,f(x)=f()=(log x)f(x0)=0不合题意.所以,当x≠1时,f(x)≠0.因为a>b>c>1,所以存在m≠1,f(a)﹣f(c)=f()﹣f()=(log m a﹣log m c)f(m)≠0,所以f(a)≠f(c),所以f(a)f(c)<f2(b).。
虹足中心理化组2017-2018学年第二学期上海市虹口区上外附中初三下学期直升考物理综合测试及答案(一) 2
综合测试卷(一)一.单项选择题(每题2分,共40分)1.一般成人的步行速度是( )(A)1千米/时。
(B)5千米/时。
(C)10千米/时。
(D)20千米/时。
答案:B2.桌面上有几个由不同材料制成的实心球,下列说法正确的是( )(A)体积大的质量一定大。
(B)体积小的质量可能大。
(C)体积相等的质量一定相等。
(D)体积不等的质量一定不等。
答案:B3.关于热量,正确的说法是( )(A)热量表示物体所含热的多少。
(B)热量表示物体内能的多少。
(C)热量表示物体冷热程度变化的大小。
(D)热量表示物体吸热和放热的多少。
答案:D4.在1标准大气压下,下列各类物质中,放热后温度立即降低的是( )(A)0℃的冰。
(B)0℃的水。
(C)0℃的冰水混合物。
(D)100℃的水蒸气。
答案:A5.一个人用平面镜来成像,要得到他的头朝下,脚向上的像,则平面镜应放在他的( )(A)头顶上方。
(B)左侧。
(C)右侧。
(D)任何位置。
答案:A6.空心铝球和空心铁球的质量和外径都相同,如果它们的内部都注满同种液体,再比较两球的总质量( )(A)铝球质量较大。
(B)铁球质量较大。
(C)两球的质量仍相等。
(D)无法比较。
答案:B7.如图6所示装置,杆的两端A、B离支点O的距离之比OA:OB=1:2。
A端接一重为G A的物体,B端连一滑轮,滑轮上挂有另一重为G B的物体。
现杠杆保持平衡,若不计滑轮重力,则G A与G B之比应是( )(A)1:4。
(B)1:2。
(C)1:1。
(D)2:1。
解析:由杠杆的平衡条件可知,G A×OA=F×OB ;图6即F=1/2G A;由滑轮的特点可知,2F=G B;即F=1/2G B;则可知,G A=G B;故选C答案:C8.某自动扶梯以恒定速度v 1两次运送某乘客上楼,该乘客第一次站在电梯上不动,第二次相对电梯v 2的速度匀速上行。
设两次电梯送客做的功分别为W 1、W 2,则下列关系正确的是( )(A)W 1<W 2。
上外附中入学面试口奥真题集
上外附中入学面试口奥真题集口奥一1(计算:222,333,444,555,666=2(甲、乙两地相距 80千米,汽车行完全程要 1.6小时,而步行要16小时,某人乘车从甲地出发去乙地,行了 1.15小时后汽车出了故障,他改为步行继续前进。
问:他到达目的地总共用了多少小时,3(如图:正方形 ABCD的边长为 12厘米,P是 AB边上的任意一点,M、N、I、H分别是 BC、AD上的三等分点(即BM=MN=NC),厘米。
P E、F、G是边 CD上的四等分点,图中阴影部分面积是多少平方4( 252、140、308三个数共有多少个不同的公约数,答案:(1)444×5=2220(2)解:汽车的速度是步行的 16?1.6=10(1.6,1.15)×10,1.15=5.65(小时)(3)48平方厘米(4)6个。
解:(252、140和308)=28=22×7,28的约数的个数即为所求,有(2,1)×(1,1)=6个口奥二1.计算:1,2,3,4,5,……,1994,1995=2.某船在静水中的速度是每小时 20千米,它从上游甲地开往乙地共用了 6小时,水流速度每小时 4千米,问从乙地返回甲地需要多少时间,3.在三角形 ABC中,BD=2DC,AE=BE,已知三角形 ABC的面积是 18 平方厘米,那么四边形 AEDC的面积等于多少平方厘米,AEC D B4.有一个自然数,用它分别去除 25、38、43,三个余数之和为 18,这个自然数是几,答案:(1)998;(2)(20,4)×6?(20,4)=9(小时);(3)12平方厘米;(4)解:所求数显然小于 26,又由 18?3=6可知,所求数大于 6。
(25,38,43),18=88,88是所求数的整倍数,推知所求数是 8、11或 22。
经验算,只有 11符合条件口奥三1.计算:0.75,9.75,99.75,999.75,1=2.甲、乙两名运动员在环行跑道上从同一地点同时背向而行跑,出发后 30分钟两人第一次相遇。
上外附中模拟试题一
上外附中英语口试模拟试题(1)Part One: Make quick responses to the sentences you have heard.(共3分)1. It's eight fifteen. Why are you late for class2. How do you go to school every day3. Look at that little girl. She is crying.4. I haven't finished my homework because my computer broke down last night.5. Look! The house is on fire.part two:listen carefully to the words i read,then i will ask you to repeat some of them.each you should repeat twice. (共4分)education ,different ,delicious ,computer,important, funnyquestion:what is the second word and the sixth wordpart three:listen carefully to the setence i read,then i will ask you to repeat it.each you should repeat twice.(共2分)Nothing is more precious than independence and freedom.Part four: Read aloud the following passage. You will have one minute to prepare and thirty seconds to read. (共6分)MerrylegsFrom Hard Times by Charles DickensWhy did Mr Jupe name him 'Merrylegs' Well, the answer is easy: he had four very merry legs! He was a clever d------, and he could dance on his back legs or on his front ones. So don't you think that Merrylegs was an excellent name for the dog Mr Jupe and Merrylegs were never apart, “When you see Jupe alone,”p eople said, “the dog will surely be dead. And you can say the sam e thing about Jupe himself.”Then, one day, a sad thing happened. Mr Jupe ran away from home. He left his house, and he left his daughter Sissie. He took Merrylegs w----- him,and he NEVER returned. At that time Sissie was twelve years old; twelve years old and alone in the world. But a kind family felt sorry for her, and she lived with them in their house. I must say, too, that she lived a very happy life with them.Mr Jupe never --------, but Merrylegs did. Six years later the dog came back alone to his old home. He was ill and weak and old.Part five: listen to the passage and then answer the questions orally.(共5分) “Tom Are you in bed yet” called Mrs. White. There was no answer. Mrs. White put down her book and went to her 14-year-old son’s room. Tom was sitting in front of a bright computer screen on which a motorbike was running fast.“Oh, Tom. You’re still playing on that computer. You must stop now, it’s half past eleven. If you don’t go to bed soon, you’ll be very tired tomorrow.”Said Mrs. White.“But I’ve nearly won the game.”Said Tom to Mrs. White. She could see theexcitement on his face. She sat down beside him.“You’re always playing on the computer. You spend more time on this machine than on your homework.”Today more and more families have computers. Parents hope computers can help their children improve their study at school. But, many of their children use computers to play games, to watch videos, instead of studying. We often see that computer game houses are crowded with people, especially young boys. They spend a lot of money competing with the computerized machines. The more they lose, the more they want to win. The result is that they don’t want to work or study.In some other countries, even scientists hate computers. They say computers cause millions of people to lose their jobs or cause them a lot of trouble. Computer game addiction is a serious problem in social life. Something has to be done to solve the problem.Questions:1.What was Tom doing on that late night2.How did Mrs. White feel when she saw her son was playing late3.What do parents think computers can do to their children4.Does the writer agree to spend much money on computer games5.Why do some scientists hate computersPart six: You will have one minute to prepare and another minute to tell the story which cotains at least five setences by using 5 words given as following.( 共5分)Expo, Shagnhai, exciting ,pavilion ,proud, visit, foreigner ,englishPart seven: You will have one minute to prepare and another minute to talk about the following pictures. Begin your talk with the sentence given:"Last Sunday, Tom’s parents decided to buy him a bike ... "。
最新上海上外附中面试题详解资料
2016上海上外附中面试题详解2016年上外附中的面试虽然已经结束一段时间了,但对于一些将在明年升入初中的家长来说,了解其面试题的出题思路,对于明年的面试是非常有帮助的,而根据一些家长回忆及口述流传出的部分考题,我们整理出了这部分的答案及解析,给即将参战的家长及小朋友们做个参考,大家加油!数学1、李白提壶酒,在大街上走;遇店加1倍,遇花喝4斗;二遇店和花,喝光壶中酒;试问:李白壶中原有几斗酒?解析:遇到的顺序为店花店花,用逆推法,第二次遇到花后酒喝光了,所以第二次遇到店后酒是4,第一次遇到花后是2,第一次遇到店后是6,原来是3斗评价:此题较为简单,读懂题意后用倒推法画流程图就能迎刃而解了2.小明挖到一个藏宝箱上面的密码是123456789中的任意4位可以重复这个密码正反看都一样例如2112大家脑补计算机上面显示的数字然后问你最多试几次能打开?解析:密码正反看都一样,即第一位第四位相同,第二位第三位相同,所以确定前两位就可以确定这个密码。
依据乘法原理,第一位有九种可能,第二位也有九种可能,共有9×9=81种可能,即最多81次就能打开。
评价:此题考察了乘法原理的知识,较为简单。
3.红灯亮65秒,黄灯亮5秒,绿灯亮30秒,先绿再黄后红,十点整正好刚刚切换到绿灯,有人十点13分零5秒刚好到路边,问至少过几秒可以看见绿灯?解析:已知先绿再黄后红为一次循环,一次循环的时间为30+5+65=100从十点整到十点13分零5秒共6有13×60+5=785而785÷100=7……85,可知共经过7个循环,第8次循环在第85秒30+5<85,易知此时在第8次循环的红灯又因为一次循环是绿黄红的顺序,因此在第9次循环开始时才可以看见绿灯,距第9次循环开始还需100-85=15秒即至少15秒后就可以看见绿灯。
评价:此题难度中等,考察了周期的知识和时间长度方面的知识,重点要正确计算一个周期的长度与过程,要会时间单位的转化。
上外附中面试题
上外附中面试题作为上海外国语大学附属中学的一名学生,赴该学校参加面试是一个重要的环节。
面试不仅会对我们的学术水平和能力进行评估,还会考察我们的综合素质和个人品质。
为了顺利通过面试,我们需要提前了解面试的相关内容和要求。
下面将一一介绍上外附中面试的题型和答题技巧。
第一部分:口语表达面试的第一部分是口语表达,通过这个环节考察我们的英语口语能力和沟通能力。
在这个部分,面试官会给出一些简单的情景或话题,要求我们用英语进行交流和表达。
这个环节需要我们能够自如地运用所学的词汇和语法知识,能够流利地表达自己的观点和意见。
在口语表达部分,我们需要注意以下几点:1. 明确问题:仔细听清楚面试官的问题,理解并准确回答。
2. 逻辑清晰:用简洁明了的语言陈述自己的观点,避免重复和啰嗦。
3. 利用例子:通过给出具体的例子和事实,来支持自己的观点和意见。
4. 注重语音语调:流利的口语不仅需要正确的语法和词汇,还需要正确的语音语调,让对方能够更好地理解我们的意思。
第二部分:阅读理解阅读理解是面试的第二部分,通过这个部分考察我们的阅读理解能力和分析能力。
面试官会提供一篇英语短文,要求我们进行相关的问题回答。
在这个环节,我们需要快速而准确地理解短文的主旨和细节,同时能够灵活应用所学的阅读技巧,例如根据上下文推断词义、理解文中的逻辑关系等。
在阅读理解部分,我们需要注意以下几点:1. 预览短文:在回答问题之前,先快速浏览短文,了解大意,掌握文章的结构和组织方式。
2. 细读问题:仔细阅读每个问题,理解要求,并在短文中找到答案的线索。
3. 标记关键词:在阅读短文的过程中,注意标记一些关键词,以便在回答问题时能够快速定位。
4. 答案准确:回答问题时,要确保答案准确无误,理解问题的要求,简洁明了地回答。
第三部分:写作能力写作能力是面试的第三部分,通过这个环节考察我们的英语写作能力和逻辑思维能力。
在这个环节,面试官会给出一个话题,要求我们用英语写出一篇短文。
上外附中小升初面试题
上外附中小升初真题汇总数学篇1、李白提壶酒,在大街上走;遇店加1倍,遇花喝4斗;二遇店和花,喝光壶中酒;试问:李白壶中原有几斗酒?(遇见的顺序是店花店花)2、小明挖到一个藏宝箱上面的密码是123456789中的任意4位可以重复这个密码正反看都一样例如2112 大家脑补计算机上面显示的数字然后问你最多试几次能打开?3、红灯亮65秒,黄灯亮5秒,绿灯亮30秒,先绿再黄后红,十点整正好刚刚切换到绿灯,有人十点13分零5秒刚好到路边,问至少过几秒可以看见绿灯?4、一辆火车从A点出发先走大圈每隔1分钟扳道工变一下A点处的轨道,已知火车速度为每分钟10米,轨道大圈为5米,轨道小圈为3米,问当火车第七次经过A点时要多少时间?5、现在定义一种符号△,并满足a△b(a>b)是a除以b的余数。
已知a△4-a△6,那么a的最小值是_____。
(本题5分)6、现在有一个编号SFLS13504,每一分钟后把字母的第一个移到最后一个,把数字的第一个移到最后一个。
因此一分钟后变成了LSSF50413……那么经过____分钟后又回到了原来的编号。
(本题5分)7、有三种不同的颜色,要把它们涂到如图所示的圆圈中,同一条线段上的圆圈不能染相同颜色。
(本题6分)8、如图,已知三角形ABC的面积是10,BD=2DC,AE=ED,则阴影部分的面积是______。
(本题6分)9、甲、乙两人分别从相距3000米的A、B两地同时相向而行,甲的速度是300米/分,已的速度是200米/分。
那么在35分钟内,两人相遇点离A地最近的一次,距离是_____米。
(本题6分)10、把20层楼称为0层,则15层楼为-5层,26层楼为+6层,那么+14层是第()层楼。
11、“上外5附中5真6好”的任意相邻3个数的和为20,那么上+外+附+中+真+好=()。
12、长方形对折后,非重叠部分总面积为8,长方形的总面积是折叠后总面积的1.6倍,那么折叠后重叠部分的面积为()。
上外附中小升初英语口语面试测试卷 原创自制1
上外附中英语口语面试测试卷1注:推荐各位老师可以自行朗读制成录音,在给孩子练习时能更加接近真实面试情况,注意每个问题预留5-10秒的时间给孩子作答。
Part One: Make quick responses to the sentences you have heard.1.What kind of animals walk very slowly?2.How many kidneys do people have?3. Can you tell me the way to the Century Park?4. Would you like me to give you some chocolate?5.What do you often do during your weekends?part two:listen carefully to the sentence I read,then I will ask you to repeat it.each you should repeat twice.Bitter pills may have wholesome effects.have pills effects may bitter wholesomepart three:Read aloud the following passage. You will have one minute to prepare and thirty seconds to read.Fast food is very popular all over the world. There are more and more fast food restaurants in some b___________ cities in China these years. Many children like e___________ fast food, such as hamburgers, fried chicken, ice cream, and so on. They think these fast food are d____________. But some scientists on diets warn(警告)that having too much fast food is not a healthy diet ,because these fast food are high (4)i___________ fat, sugar and salt. All of them a re bad for children's health. Therefore, scientists suggest that children should have a healthy diet, drink a lot of water and do some (5)e____________ every day. So , to stay healthy , and away from hospital, eat only healthy food!Part four: listen to the passage and then answer the questions orally.People eat different things in different parts of the world.In South China we eat rice every day. Sometimes we eat it two or three times a day, for breakfast, lunch and supper. We usually eat it with fish, meat and vegetables.The Japanese eat rice, too. They also eat a lot of fish. They sometimes eat raw(生的) fish. In Africa, maize(玉米) is the most important food. People there make maize into flour. From this flour they make different kinds of bread and cakes.In western countries such as Britain, Australia and the USA, the most important food is bread and potatoes. People there usually make their bread from wheat flour. They cook potatoes in different ways. In England the most popular food is fish and chips. Sometimes people eat this food at home, in their workplace or even on the road. People call it “take-away” food.Answer the questions.1.What is the passage about?2.Who sometimes eat fish when it isn’t cooked?3.What is the most important food for African people?4.Is Australia called a “western country”?5.Where do English people usually eat fish and chips?Part five: Read the passage and answer the questions orally.All of us have habits, whether we want to admit it or not. They are tiny little mannerisms that affect our behavior, our emotions, and even the way we live our lives. Some of these habits are easy to change. You all don't need me to tell you how: you just do it. But then, there's the other kind, the kind that seems to keep defeating us. We always try to change them. We try and try and it really does work for a while, then we stop tryin g. We give up. We force ourselves to try quitting or changing again, then we stop again… and we feel like failures. These habits that are so hard to change are referred to as our bad habits and as we will see, it is harder than we think to break them!Why is it so hard to break a bad habit?We unknowingly develop good and bad habits at young ages. But bad habits are the ones that are hard to get rid of. Talking out of turn, using bad table manners, pushing in line, biting our fingernails—the list could go on for miles. Even more, what you believe are good habits to you might be seen as bad to others, that's why we don't always realize that we have bad habits. Some manners that Chinese people accept as good behavior might be seen as rude according to a person from a different country. So either we try to break them all the time or sometimes we don't even realize that our habits are bad.Take small stepsHow can we force ourselves to change habits that become part of our daily lives? The answer is small steps. One small step can change our lives. We know that we can’t do everything at once, so start the change one step at a time. First, become consciously aware of your bad habit and then take it one day at a time.You can do it! Though it is difficult to break bad habits, it's not impossible! Try to turn your life around, and make good choices for good habits!1. What should we do if some of these habits are easy to change?2. What do we feel if we can't change any habits again and again?3. Why don't we always realize that we have bad habits?4. How can we force ourselves to change habits?5. It's not impossible to break bad habits, is it?KEYS:1. We just do it.2. We feel like failures.3. Because good habits to us might be seen as bad to others.4. Take small steps.5. No, it isn’t.Part six: You will have one minute to prepare and another minute to talk about the following pictures. Begin your talk with the topic given:1.电视对于学生有正面作用还是负面作用,选择其中之一并解释原因;2.Which one acts more influence on you newspaper, TV or teachers?。
上外附中小升初英语面试模拟试题1
上外附中小升初英语口试模拟试题(1)Part One: Make quick responses to the sentences you have heard.(共3分)1. It's eight fifteen. Why are you late for class?2. How do you go to school every day?3. Look at that little girl. She is crying.4. I haven't finished my homework because my computer broke down last night.5. Look! The house is on fire.Part two:listen carefully to the words i read,then i will ask you to repeat some of them.each you should repeat twice. (共4分)education ,different ,delicious ,computer,important, funnyquestion: what is the second word and the sixth word?Part three:listen carefully to the setence i read,then i will ask you to repeat it.each you should repeat twice.(共2分)Nothing is more precious than independence and freedom.Part four: Read aloud the following passage. You will have one minute to prepare and thirty seconds to read. (共6分)Merrylegs From Hard Times by Charles Dickens. Why did Mr Jupe name him 'Merrylegs'? Well, the answer is easy: he had four very merry legs! He was a clever d------, and he could dance on his back legs or on his front ones. So don't you think that Merrylegs was an excellent name for the dog? Mr Jupe and Merrylegs were never apart, “When you see Jupe alone,”people said, “the dog will surely be dead. And you can say the same thing about Jupe himself.”Then, one day, a sad thing happened. Mr Jupe ran away from home. He left his house, and he left his daughter Sissie. He took Merrylegs w----- him,and he NEVER returned. At that time Sissie was twelve years old; twelve years old and alone in the world. But a kind family felt sorry for her, and she lived with them in their house. I must say, too, that she lived a very happy life with them. Mr Jupe never --------, but Merrylegs did. Six years later the dog came back alone to his old home. He was ill and weak and old.Part five: listen to the passage and then answer the questions orally.(共5分)“Tom? Are you in bed yet?”called Mrs. White. There was no answer. Mrs. White put down her book and went to her 14-year-old son’s room. Tom was sitting in front of a bright computer screen on which a motorbike was running fast. “Oh, Tom. You’re still playing on that computer. You must stop now, it’s half past eleven. If you don’t go to bed soon, you’ll be very tired tomorrow.”Said Mrs. White. “But I’ve nearly won the game.”Said Tom to Mrs. White. She could see the excitement on his face. She sat down beside him. “You’re always playing on the computer. You spend more time on this machine than on your homework.”Today more and more families have computers. Parents hope computers can help their children improve their study at school. But, many of their children use computers to play games, to watch videos, instead of studying. We often see that computer game houses are crowded with people, especially young boys. They spend a lot of money competing with the computerized machines. The more they lose, the more they want to win. The result is that they don’t want to work or study. In some other countries, even scientists hate computers. They say computers cause millions of people to lose their jobs or cause them a lot of trouble. Computer game addiction is a serious problem in sociallife. Something has to be done to solve the problem.Questions: 1.What was Tom doing on that late night?2.How did Mrs. White feel when she saw her son was playing late?3.What do parents think computers can do to their children?4.Does the writer agree to spend much money on computer games?5.Why do some scientists hate computers?Part six: You will have one minute to prepare and another minute to tell the story which cotains at least five setences by using 5 words given as following.( 共5分)Expo, Shagnhai, exciting ,pavilion (馆),proud, visit, foreigner ,englishPart seven: You will have one minute to prepare and another minute to talk about the following pictures. Begin your talk with the sentence given: "Last Sunday, Tom’s parents decided to buy him a bike ... "。
上外附中小升初英语面试试题
上外附中小升初英语口试模拟试题(7)Part One:Make quick responses to the sentences you have heard。
1.How many hours of sleep do you get a night?2。
What is your favorite time of day?3. Shall we go out and have a walk?4. What season is the best season to plant trees?5。
Do you know which day is the April Fools’ Day?part two:listen carefully to the words i read,then i will ask you to repeat some of them。
each you should repeat twice.angry, sometimes, give,England,suddenly, twentyquestion:what is the second and the fourth ?part three:listen carefully to the sentence i read,then i will ask you to repeat it。
each you should repeat twice。
The first step is as good as half over.Part four: Read aloud the following passage。
You will have one minute to prepare and thirty seconds to read。
Anne sat in their backyard, thinking. She was trying to think of a way to earn money d the summer vacation。
2017上外附中高一数学期末卷(含解析)
2x2
2k
5
x
5k
0
得
x1
5 2
,
x2
k
.
(1)若 k 5 即 k 5 时, 2x2 2k 5 x 5k 0 , k x 5 ,
2
2
2
此时不等式组的解集为
A
Байду номын сангаас
k,
5 2
,A
中有且仅有一个整数,4
k
3
,得
3
k
4
.
(2)若 k 5 即 k 5 时,不等式 2x2 2k 5 x 5k 0 的解为 5 x k ,
2
2
2
此时不等式组的解集为
A
5 2
,
k
或
A
5 2
,
1
或
A
5 2
,
1
2, k ,
D. y f x 在 0.3,0.4 上有最小值
三、解答题
17.(8 分)已知 f x 是定义在 R 上的奇函数,当 x 0 时, y f x x2 x ; (1)求函数 f x 的解析式;(2)求不等式 f x 0 的解集.
精益求精,不断超越,成就学生,成就梦想
B. b a
C. a b 0
D. aba b 0
15.若存在实数
a
,使得函数
f
x
x 2
2017-2018-高二上期中考-上外附中
一、填空题 1. 2 3 与 2 3 的等比中项是 . 项. . a3 a5 的值为 a4 a6 .
2.已知等差数列 an 的 a15 33, a45 153 ,则第 217 是这个数列的第 3.设 an 为等比数列,且 a3 2 S 2 1, a4 2 S3 1 ,则公比 q 4.若正项等比数列 an 的公比 q 1 ,其第 3、5、6 项成等差数列,则
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参考答案
一、填空题 1. 1 8. 2 2. 61 9. 4n 2 3. 3 4.
5 1 2
5. 3
6. 117
2
7. 2n 1 2n 4
10. 49 15. C
11. k 2 k 1 16. C
12. 4023 18. A
二、选择题 13. D 14. C 三、解答题 19. a1 4, q 2 20. 0.24a 21. (1) bn 22.(1) a1
5.已知等差数列 an 共有 2n 1 项,其中 a1 a3 ⋯ a2 n 1 4 , a2 a4 ⋯ a2 n 3 ,则 n 6.等比数列 an 中,已知 S10 9, S 20 36 ,则 S30 .
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1 49 1 1 10.数列 1, , ,⋯ , , ⋯ 前 n 项和为 ,则项数 n 为 1 2 1 2 3 1 2 3⋯ n 25
1 1 ,且 a3 b3 , S3 S5 21 . Sn 2
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上外附中面试题
上外附中面试题面试是学生申请上外附中的重要环节之一。
下面是上外附中面试中可能遇到的问题以及一些建议和答案。
希望对你在面试中有所帮助。
问题1:请简单介绍一下自己。
答案:我叫XXX,今年XX岁,来自XXX。
我对学习很有热情,喜欢阅读和写作,尤其对英语非常感兴趣。
我在过去的几年中,通过积极参加各种英语角和写作比赛,提高了我的英语水平和表达能力。
我也热衷于参加学校的各种社团活动,培养了自己的领导能力和团队合作意识。
问题2:为什么想来上外附中?答案:上外附中是一所优秀的学校,拥有卓越的师资力量和丰富的教学资源。
我希望能在这样的学习环境中,获得更好的学习机会和个人发展空间。
同时,上外附中注重培养学生的全面素质,不仅注重学术成绩,也注重学生的品德和社交能力。
我相信这样的教育理念可以帮助我全面发展,成为一个有才华和有担当的人。
问题3:你在学习中遇到了哪些挑战?你是如何克服的?答案:在学习过程中,我遇到了很多挑战,比如课业压力和英语学习的困难。
为了克服这些困难,我主动寻求老师和同学的帮助,参加了学校提供的辅导班和讲座。
同时,我也主动调整自己的学习方法,制定合理的学习计划,保持积极的学习态度。
通过这些努力,我的学习成绩和英语水平都有了明显的提高。
问题4:你对自己未来的职业规划是什么?答案:我对未来有明确的职业规划。
我希望能继续深造英语相关专业,在大学期间参与相关实践和交流活动,积累专业知识和经验。
毕业后,我希望可以成为一名优秀的英语教师或者翻译人员,用自己的专业知识和语言技能帮助更多的人。
同时,我也希望能为促进中外文化交流做出贡献,成为一个文化使者。
问题5:你有什么特长或者兴趣爱好?答案:我对写作和阅读非常热爱,并且在相关比赛中有一定的成绩和经验。
我也喜欢参加学校的各种社团活动,比如学生会和英语角。
这些活动培养了我的领导能力和团队合作意识,也增强了我的社交能力。
此外,我还喜欢运动,例如打篮球和游泳,这些活动可以帮助我保持身体健康和放松心情。
2017年外初面试真题及答案
考试流程:1、今年外初面谈还是以机考的形式,没有听力,没有人机对话(口语);2、考试科目:语数外,总分是195分,一共65道题,36分钟,单题限时,8点半考到9点多就考完了;3、单题限时,依据题目难度的不同,要求学生在20-120秒之内完成,大多小题限时20秒,数学大题时间较为充裕一般为80秒-120秒,语文阅读题的时间也比较多,另外电脑屏幕上会显示每道题的作答时间及剩余时间;4、全程机考,题目均为选择题,学生只准使用鼠标作答,不得使用纸笔及键盘;5、机考结束后,校方安排孩子们在教室里面看电视,看了两个多小时的电视,全程都有摄像头在盯在孩子,观察孩子们的言行举止;考试内容:语数外三科混着出题,一道数学题,一道语文,一道英语题。
有孩子说在每一个题目答题之前,电脑那边就会提示“Hello,考生姓名”(这一点还蛮智能);语文试卷:语文有三篇阅读,每篇一个题,都是120秒答题1、下列汉字中字音正确的有几个(A)字帖(tiē)踮(diăn)起琳琅(láng)满目名(míng)额A.1个B.2个C.3个D.4个答案解析:选A,应为字帖(tiè)2、下列汉字中字形错误的有几个(C)陷井相形见拙脉搏告戒明信片迁徙A.1个B.2个C.3个D.4个答案解析:选C,应为陷阱、相形见绌、告诫3、昴日星官的原型是(C)A.马B.羊C.鸡D.鹤4、下列成语不是描写楚国的一项是(C)A.筚路蓝缕B.三户亡奏C.一鼓作气D.楚才晋用答案解析:鲁庄公十年,齐攻鲁,刿求见请取信于民后战,作战时随从指挥,大败齐师,一鼓作气之典出于此。
5、下列哪些鸟类不会在古诗文中出现(B)A.鸿鹄B.纸鸢C.燕子答案解析:纸鸢是风筝,不是鸟类。
6、以下哪句诗不是描写的传统节日(D)A.清明时节雨纷纷,路上行人欲断魂B.中庭地白树栖鸦,冷落无声湿桂花C.遥知兄弟登高处,遍插茱萸少一人D.乡村四月闲人少,才了桑蚕又插秧答案解析:A描写清明节,B描写中秋节,C描写重阳节,D选项出自《乡村四月》,描写的是农忙景象。
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2017上外附中面谈试题(英语)
4月23日英语口语试题
1,快问快答
1)which sport do you like best?
2)What’s your favorite food?
3)The people there like to eat spicy and hot food. They also like to
eat hot-pot. It’s the hometown of giant pandas, which city is it? 2,看音标读词
1)[ɪndɪ'vɪdjʊ(ə)l]
2)句子读两遍,要求跟读
3,听短文回答问题
4,听文章回答
(Winnie the Pooh)
5,阅读文章回答问题:
(鲁滨孙漂流记)中节选的段落
.....I gave him th is name because of the m_____ of date ……….
He took me to the place where he b____ the two men…..
1)Please say the name of the book and where this passage comes from.
2)Please say your answer. _______, _____________.
6,阅读理解
1)请大声朗读文章
2)情报处选择的编号。
(ABCD中那句话与原文相符)
3)听录音,根据文章回答问题。
(不可看文章)
4)归纳文章中心,补全句子。
7,口头作文。
(与3E英语里的,free talk类似)
看图说话
分析:
1. 这次考试的总分数情况任然没有变,是90分。
英语依然一家独大占到了40分,数学和综合分别是30分和20分。
2. 以英语为例子,英语的听力难度整体并没有上升,但是对于孩子对于文章整体性的掌握是非常高的。
比如英语短文的听力,文章非常短(具体单词量不好透露)。
比如一篇文章中讲到了进化论的作者。
第一个问题提问文章中提到的人,也就是进化论的作者达尔文是什么身份。
很多孩子习惯的是能够直接听到biologist这个词,但是文章里出现的却是说他研究biology,nature之类的词,需要孩子推论出他是什么人。
又比如一篇文章在对文中人物职业提问的时候(该职业是一个艺术家),学生会发现这里没有出现过任何和职业相关的词。
但是第二个问题的提问中会提到, 他的作品是怎样的,是关于什么内容的。
这个时候学生完全可以反过去猜出这个是一个artist.。