浦东新区2017学年第一学期初三教学质量检测

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上海市浦东新区2016初三英语一模试卷(含答案)

上海市浦东新区2015-2016学年第一学期初三教学质量检测英语试卷（满分150分，考试时间100分钟）PART1 Listening(第一部分听力)1Listening comprehension(听力理解)A. Listen and choose the right picture(根据你听到的内容，选出相应的图片)1._______ 2________ 3.__________ 4.__________ 5.________ 6.____________B. Listen to the dialogue and choose the best answer to the questionyou hear(根据你听到的对话和问题，选出最恰当的答案7.A) A science fiction. B)A textbook. C)A comic strip. D)A story book8. A)Rainy B) Windy C) Cloudy D) Sunny9. A)Monday B)Wednesday C) Thursday D)Sunday10. A)To make a decision B)To become a professor C)To start work D)Totalk with her father11. A)By taxi B)By bus C)By underground D)on foot12 A)80 Yuan B)90 Yuan C)100 Yuan D)110 Yuan13) A)In a library B)In a hospital C)In a cinema D)In a restaurant14 A)She was given the wrong juice B)She thought the bottle was funnyC) She thought the juice went bad D)She couldn’t open the bottleC. Listen to the passage and tell whether the following statements aretrue or false (判断下列句子是否符合你听到的短文内容，符合的用“T”表示，不符合的用“F”表示))father taught him how to write computer15.Zuckerberg’s(扎克伯格programs.16.“ZuckNet”is a kind of communicating software program.17 Zuckerberg agreed to work for Microsoft in his high school years.18 At beginning, Zuckerberg and his classmates built Facebook for fun.19Zuckerberg gave a speech in Chinese in Tsinghua University in 201520 Zuckerberg promised to spend most of his money improvingFacebook.D. Listen to the passage and complete the following sentences(听短文，完成下列内容。

2017-2018学年上海市杨浦区第一学期初三英语质量调研卷(解析版)

杨浦区2017-2018学年度第一学期期末质量调研初三英语练习卷(满分150分,考试时间:100分钟)考生注意:本卷有7大题,共94小题。

试题均采用连续编号,所有答案务必按照规定在答题纸上完成,做在试卷上不给分Part1 Listening(第一部分听力)I. Listening Comprehension(听力理解):(共30分)A. Listen and choose the right picture根据你听到的内容，,选出相应的的图片(6分)1._____2.______ 3 ._______ 4._______ 5._________ 6.___________B. Listen to the dialogue and choose the best answer to the questi0 n you hear(根据你听到的对话和问题,选出最恰当的答案):(共8分)7. A) Cold and rainy. B)Cold and windy. C)Warm and sunny. D) Warm and cloudy8. A) By bus B) By taxi C) By bike D) On foot9.A)$60 B)$50 C)$40. D)$3010. A)At home. B)At the library. C)At the station. D) In London11. A) Teacher and student B) Policeman and witnessC) Mother and son. D) Shop assistant and customer12.13. A) Weekend plans B. free time activity C.birthday idea D. feelings and emotions14. A) He felt it a pity to miss the meetingB) He enjoyed the speaker's talkC. He has heard the speaker beforeD. He isn’t a member of the clubC. Listen to the dialogue and tell whether the foll0 wing statements are true or false(判断下列句子是否符合你听到的对话内容,符合的用“T”表示,不符合的用“F”表示):(共6分)15. charlie’s house was broken into last night and a lot of things were stolen.16. The noise coming from upstairs was made by Charlie’s cat17. Charlie missed a step and fell when he was running downstairs18. A burglar hit Charlie on the head with some books19. Charlie forgot that his sister would come to his house last night20. Charlie went to the hospital and luckily it wasn't very seriousD. Listen to the passage and complete the following sentences(听短文,完成下列内容,每空格限填词):(共10分21.96% of British people said that they would complain if they receive_________ in a shop22. If the queue isn't___________enough, the British get angry23.British people are not willing to wait longer than_________to queue24 low-quality products, ________and delivery problems are also common reasons for complaints25.For the few British people who don't complain 31% feel ______.Part 2 Phonetics, Grammar and vocabulary(第二部分语音、语法和词汇)Ⅱ. Choose the best answer(选择最恰当的答案):(共20分)Ⅱ. Choose the best answer(选择最恰当的答案):(共20分)26. Which of the following underlined parts is different in pronunciation?A) method B)enemy C)memory D)recent【答案】D【解析】ABC都发/e/的音，D发/i/的音。

2017-2018学年上海市青浦区九年级第一学期期末质量调研数学测试卷

2017-2018学年上海市青浦区九年级第一学期期末质量调研数学测试卷一、选择题：（本大题共6题，每题4分，满分24分）1. 计算32()x -的结果是（）【A 】5x【B 】5x -【C 】6x【D 】6x -【答案】C【解析】幂的乘方运算2. 如果一次函数y kx b =+的图像经过一、二、三象限，那么k 、b 应满足的条件是（）【A 】0k >，且0b >【B 】0k <，且0b <【C 】0k >，且0b <【D 】0k <，且0b >【答案】A【解析】一次函数图像性质3. 2的有理化因式是（）【A【B【C 2【D 2【答案】C【解析】有理化因式定义4．如图1，在△ABC 中，∠ACB ＝90°，CD 是AB 边上的高．如果BD =4，CD=6，那么:BC AC 是（）【A 】3:2【B 】2:3【C 】【D 】2【答案】B【解析】解直角三角形5. 如图2，在□ABCD 中，点E 在边AD 上，射线CE 、BA 交于点F ，下列等式成立的是（）【A 】AE CE ED EF= 【B 】AE CD ED AF= 【C 】AE FA ED AB= 【D 】AE FE ED FC =【答案】C【解析】三角形相似6. 在梯形ABCD 中，AD //BC ，下列条件中，不能判断梯形ABCD 是等腰梯形的是（）【A 】ABC DCB ∠=∠【B 】DBC ACB ∠=∠【C 】DAC DBC ∠=∠【D 】ACD DAC ∠=∠【答案】D【解析】等腰梯形的判定二、填空题：7．因式分解：23a a += ．【答案】()31+a a【解析】提公因式法因式分解8. 函数11y x =+的定义域是．【答案】1≠-x 【解析】分母不等于零9. 如果关于的一元二次方程2+20x x a -=没有实数根，那么a 的取值范围是．【答案】1<-a【解析】根的判别式小于零10. 抛物线24y x =+的对称轴是．【答案】直线0x =或y 轴【解析】抛物线的对称轴是ab x 2-= 11. 将抛物线2y x =-平移，使它的顶点移到点P （-2，3），平移后新抛物线的表达式为．【答案】()223=-++y x【解析】二次函数图像平移的性质12. 如果两个相似三角形周长的比是2:3，那么它们面积的比是．【答案】4:9【解析】相似三角形的面积比是相似比的平方13. 如图3，传送带和地面所成斜坡AB的坡度为，把物体从地面A 处送到坡顶B 处时，物体所经过的路程是12米，此时物体离地面的高度是米．【答案】6【解析】解直角三角形 x14. 如图4，在△ABC 中，点D 是边AB 的中点．如果CA a =，CD b =，那么CB = （结果用含a 、b 的式子表示）．【答案】2-b a【解析】平面向量的运算15. 已知点D 、E 分别在△ABC 的边BA 、CA 的延长线上，且DE //BC ，如果BC =3DE ，AC =6，那么AE= ．【答案】2【解析】相似三角形对应线段成比例16. 在△ABC 中，∠C ＝90°，AC=4，点G 为△ABC 的重心．如果GC=2，那么sin GCB ∠的值是．【答案】23【解析】三角形重心是中线的交点17. 将一个三角形经过放大后得到另一个三角形，如果所得三角形在原三角形的外部，这两个三角形各对应边平行且距离都相等，那么我们把这样的两个三角形叫做“等距三角形”，它们对应边之间的距离叫做“等距”．如果两个等边三角形是“等距三角形”，它们的“等距”是1，那么它们周长的差是．【答案】63【解析】相似三角形的周长比等于相似比18. 如图5，在△ABC 中，AB =7，AC=6，45A ∠=，点D 、E 分别在边AB 、BC 上，将△BDE 沿着DE 所在直线翻折，点B 落在点P 处，PD 、PE 分别交边AC 于点M 、N ，如果AD=2，PD ⊥AB ，垂足为点D ，那么MN 的长是．【答案】187 【解析】∵PD ⊥AB ，∴∠BDP =90∘,∠EDB =∠EDP =∠A =45，∴BABD AC DE =， ∴756=DE ∴730=DE ， ∵AD =AM =2，DB =DP =5，∴PM =3，∴PD PM DE MN =，∴5330=MN ，∴MN=718，故答案为718. 三、解答题：19．（本题满分10分）计算：()021--+-．【答案】2【解析】原式=1+22⨯=2 20.（本题满分10分）解方程：21421242x x x x +-=+--．【答案】1=x 【解析】方程两边同乘()()22+-x x 得 ()224224-+-+-=x x x x整理，得2320-+=x x解这个方程得11=x ，22=x经检验，22=x 是增根，舍去所以，原方程的根是1=x21.（本题满分10分，第（1）小题5分，第（2）小题5分）如图6，在平面直角坐标系xOy 中，直线)0(≠+=k b kx y 与双曲线xy 6=相交于点A （m ，6）和点B （-3，n ），直线AB 与y 轴交于点C ．（1）求直线AB 的表达式；（2）求:AC CB 的值．【答案】（1）24=+y x （2）31=CB AC 【解析】（1）∵点A （m ，6）和点B （-3，n ）在双曲线x y 6=，∴m =1，n =-2． ∴点A （1，6），点B （-3，-2）．将点A 、B 代入直线=+y kx b ，得=63 2.；+⎧⎨-+=-⎩k b k b 解得 =24.；⎧⎨=⎩k b ∴直线AB 的表达式为：24=+y x ．（2）分别过点A 、B 作AM ⊥y 轴，BN ⊥y 轴，垂足分别为点M 、N ．则∠AMO ＝∠BNO ＝90°，AM =1，BN =3，∴AM //BN ，∴1=3AC AM CB BN =． 22．（本题满分10分）如图7，小明的家在某住宅楼AB 的最顶层（AB ⊥BC ），他家的后面有一建筑物CD （CD // AB ），他很想知道这座建筑物的高度，于是在自家阳台的A 处测得建筑物CD 的底部C的俯角是43，顶部D 的仰角是25，他又测得两建筑物之间的距离BC 是28米，请你帮助小明求出建筑物CD 的高度（精确到1米）．（参考数据：sin25°≈0.42，cos25°≈0.91，tan25°≈0.47；sin43°≈0.68，cos43°≈0.73，tan43°≈0.93．）【答案】39米【解析】解：过点A 作AE ⊥CD ，垂足为点E ．由题意得，AE = BC =28，∠EAD ＝25°，∠EAC ＝43°．在Rt △ADE 中，∵tan ∠=DE EAD AE ，∴tan 25280.472813.2=︒⨯=⨯≈DE ．在Rt △ACE 中，∵tan CE EAC AE∠=，∴tan 43280.932826=︒⨯=⨯≈CE ． ∴13.22639=+=+≈DC DE CE （米）．答：建筑物CD 的高度约为39米．23．（本题满分12分，第（1）小题4分，第（2）小题8分）如图8，已知点D 、E 分别在△ABC 的边AC 、BC 上，线段BD 与AE 交于点F ，且CD CA CE CB ⋅=⋅．（1）求证：∠CAE ＝∠CBD ；（2）若BE AB EC AC=，求证：AB AD AF AE ⋅=⋅．【答案】(1)见解析（2）见解析【解析】（1）证明：∵CD CA CE CB ⋅=⋅，∴CE CA CD CB=， ∵∠ECA ＝∠DCB ，∴△CAE ∽△CBD ，∴∠CAE ＝∠CBD ．（2）证明：过点C 作CG //AB ，交AE 的延长线于点G ． ∴BE AB EC CG =，） ∵BE AB EC AC =，∴AB AB CG AC =，∴CG =CA ，∴∠G ＝∠CAG ，∵∠G ＝∠BAG ，∴∠CAG ＝∠BAG ．∵∠CAE ＝∠CBD ，∠AFD ＝∠BFE ，∴∠ADF ＝∠BEF ．∴△ADF ∽△AEB ， ∴AD AF AE AB=，∴AB AD AF AE ⋅=⋅．24．（本题满分12分，第（1）小题3分，第（2）小题4分，第（3）小题5分）如图9，在平面直角坐标系xOy 中，抛物线()20y ax bx c a =++>与x 轴相交于点 A （-1，0）和点B ，与y 轴交于点C ，对称轴为直线1x =．（1）求点C 的坐标（用含a 的代数式表示）；（2）联结AC 、BC ，若△ABC 的面积为6，求此抛物线的表达式；（3）在第（2）小题的条件下，点Q 为x 轴正半轴上一点，点G 与点C ，点F 与点A 关于点Q 成中心对称，当△CGF 为直角三角形时，求点Q 的坐标．【答案】（1）C （0，-3a ）；（2）223=--y x x ；（3）（4，0）或（9，0）【解析】解：（1）∵抛物线()20=++>y ax bx c a 的对称轴为直线1x =， ∴12=-=b x a，得2=-b a ．把点A （-1，0）代入2=++y ax bx c ，得=0-+a b c ，∴3=-c a ．∴C （0，-3a ）．（2）∵点A 、B 关于直线1x =对称，∴点B 的坐标为（3，0）．∴AB =4，OC =3a ．∵12ABC S AB OC =⋅，∴14362⨯⨯=a ， ∴a =1，∴b =-2，c =-3，∴223=--y x x ．（3）设点Q 的坐标为（m ，0）．过点G 作GH ⊥x 轴，垂足为点H ．∵点G 与点C ，点F 与点A 关于点Q 成中心对称，∴QC =QG ，QA =QF = m +1，QO =QH = m ，OC =GH =3，∴QF = m +1，QO =QH = m ，OC =GH =3，∴OF = 2m +1，HF = 1．Ⅰ.当∠CGF ＝90°时，可得∠FGH ＝∠GQH ＝∠OQC ，∴tan tan FGH OQC ∠=∠，∴HF OC GH OQ =，∴133=m， ∴=9m∴Q 的坐标为（9，0）．Ⅱ.当∠CFG ＝90°时，可得，tan tan FGH OFC ∠=∠，∴HF OC GH OF =，∴13321=+m ， ∴=4m ，Q 的坐标为（4，0）．Ⅲ.当∠GCF ＝90°时，∵∠GCF<∠FCO<90°，∴此种情况不存在．综上所述，点Q 的坐标为（4，0）或（9，0）．25．（本题满分14分，第（1）小题5分，第（2）小题5分，第（3）小题4分）如图10，在边长为2的正方形ABCD 中，点P 是边AD 上的动点（点P 不与点A 、点 D 重合），点Q 是边CD 上一点，联结PB 、PQ ，且∠PBC ＝∠BPQ ．（1）当QD ＝QC 时，求∠ABP 的正切值；（2）设AP =x ，CQ =y ，求y 关于x 的函数解析式；（3）联结BQ ，在△PBQ 中是否存在度数不变的角，若存在，指出这个角，并求出它的度数；若不存在，请说明理由．【答案】(1)31tan =∠ABP ;(2)422x y x -=+;(3)∠PBQ ＝45° 【解析】解：（1）延长PQ 交BC 延长线于点E ．设PD =x ．∵∠PBC ＝∠BPQ ，∴EB=EP ．∵四边形ABCD 是正方形，∴AD //BC ，∴PD ∶CE= QD ∶QC= PQ ∶QE ，∵QD ＝QC ，∴PD ＝CE ，PQ ＝QE ．∴BE ＝EP= x +2，∴QP ＝()122x +．在Rt △PDQ 中，∵222PD QD PQ +=，∴2221112x x ⎛⎫+=+ ⎪⎝⎭，解得43x =． ∴23AP AD PD =-=，∴211323tan AP AB ABP =⨯=∠=．（2）过点B 作BH ⊥PQ ，垂足为点H ，联结BQ ．∵AD //BC ，∴∠CBP ＝∠APB ，∵∠PBC ＝∠BPQ ，∴∠APB ＝∠HPB ，∵∠A ＝∠PHB ＝90°，∴BH = AB =2，∵PB = PB ，∴Rt △P AB ≅ Rt △PHB ， ∴AP = PH =x ．∵BC = BH=2，BQ = BQ ，∠C ＝∠BHQ ＝90°，∴Rt △BHQ ≅ Rt △BCQ ，∴QH = QC= y ，在Rt △PDQ 中，∵222PD QD PQ +=，∴()()()22222x y x y -+-=+， ∴ 422xy x -=+．（3）存在，∠PBQ ＝45°．由（2）可得，21PBH ABH ∠=∠，21HBQ HBC ∠=∠， ∴()90452211PBQ ABH HBC ∠=∠+∠=⨯︒=︒．。

[VIP专享]上海市虹口区2017-2018学年度第一学期期终教学质量监控测试初三语文试卷

上海市虹口区2017-2018学年度第一学期期终教学质量监控测试初三语文试卷一、文言文（40分）（一）默写（15分）1.欲把西湖比西子，________________________。

（《饮湖上初晴后雨》）2.________________________，身世浮沉雨打萍。

（《过零丁洋》）3.草枯鹰眼疾， ___________________________ 。

（《观猎》）4.____________________，蒙络摇缀，参差披拂。

（《小石潭记》）5._____________________，在乎山水之间也。

（《醉翁亭记》）（二）阅读下面一首词，完成第6-7题（4分）诉衷情【宋】陆游当年万里觅封侯，匹马戍梁州。

关河梦断何处？尘暗旧貂裘。

胡未灭，鬓先秋，泪空流。

此生谁料，心在天山，身老沧洲。

6.下列对文中加点词理解不恰当的一项是（）。

（2分）A.觅：寻找B.戍：守边C.暗：黑暗D.秋：秋霜7.词中划线句表达了作者________________________的情感。

（2分）（三）阅读下文，完成第8-10题（9分）黄生借书说（节选）①书非借不能读也。

子不闻藏书者乎？七略、四库，天子之书，然天子读书者有几？汗牛塞屋，富贵家之书，然富贵人读书者有几？其他祖父积，子孙弃者无论焉。

非独书为然，天下物皆然。

非夫人之物而强假焉，必虑人逼取，而惴惴焉摩玩之不已，曰：“今日存，明日去，吾不得而见之矣。

”若业为吾所有，必高束焉，庋藏焉，曰“姑俟异日观”云尔。

②余幼好书，家贫难致。

有张氏藏书甚富。

往借，不与，归而形诸梦。

其切如是。

故有所览辄省记。

通籍后，俸去书来，落落大满，素蟫灰丝时蒙卷轴。

然后叹借者之用心专，而少时之岁月为可惜也！③今黄生贫类予，其借书亦类予；惟予之公书与张氏之吝书若不相类。

然则予固不幸而遇张乎，生固幸而遇予乎？知幸与不幸，则其读书也必专，而其归书也必速。

8.选文的作者是 _____（朝代）_____（人名）。

上海市浦东新区2017-2018学年高三12月教学质量检测(一模)英语试卷Word版含答案.pdf

上海市浦东区2017-2018学年度第一学期质量监控试卷高三英语(满分140分，考试时间120分钟）I. Listening Comprehension (25%)最新试卷十年寒窗苦，踏上高考路，心态放平和，信心要十足，面对考试卷，下笔如有神，短信送祝福，愿你能高中，马到功自成，金榜定题名。

Section ADirections: In Section A, you will hear ten short conversations between two speakers. At the endof each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A. Sorry. B. Annoyed.C. Excited.D. Puzzled.2. A. An accountant. B. A surgeon.C. An artist.D. A scientist.3. A. 2000 yuan. B.3200 yuan.C.1200 yuan.D.3600 yuan.4. A. On a plane. B. In a physical medical room.C. In a boat.D. In a school rest room.5. A. A job. B. An article.C. A book.D. An author.6. A. Twins. B. Classmates.C. Friends.D. Cousins.7. A. Give his ankle a good rest. B. Treat his injury immediately.C. Continue his regular exercises.D. Be careful when climbing steps.8. A. Go on a diving tour in Europe. B. Add 300 dollars to his budget.C. Travel overseas on his own.D. Join a package tour to Mexico.9. A. In case some problems should occur. B. In case they should be late.C. To avoid more work later on.D. To make better preparations.10. A. The rock band needs more hours of practice.B. The rock band is going to play here for a month.C. Their hard work has resulted in a big success.D. He appreciates the woman’s help with the band.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questionson each of the passages. The passages will be read twice, but the questions will be spoken only once. When you hear a question，read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11. A. Its strong education system. B. Its population.C. Its growing tourism industry.D. Its bilingual signs.12. A. All citizens receive quality English teaching.B. More money should be spent on teacher training.C. An English-speaking environment should be built.D. Tourism industry should be promoted.13. A. The foreign investment will increase.B. It will bring the economic and social benefits.C. The education system will be strengthened.ranking in English level.D. It will improve Singapore’ｓQuestions 14 through 16 are based on the following passage.13. A. He shopped for groceries.B. He took care of his sick parent.C. He cared for his younger brother.D. He made important family decisions.15. A. It may help children grow up quickly.B. It may force children to sacrifice their childhoods.s responsibility into a delight.C. It will turn children’D. It will make children more isolated and confused.16. A. Children getting satisfaction from helping others.B. Children taking on adult responsibility.C. Frustration and stress caused to children by parents.D. The environment for children’s better growth.Section CDirections: In Section C，you will hear a conversation. The conversation will be read twice. After you hear a conversation and the questions about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.Questions 17 through 20 are based on the following conversation.17. A. Tour guide. B. Editor.C. Journalist.D. Typist.18. A. Some newly discovered scenic spot.B. Big changes in the Amazon valley.C. A new railway under construction.D. The beautiful Amazon rain forests.19. A. In news weeklies.B. In newspapers’ Sunday editions.C. In a local evening paper.D. In overseas edition of U.S. magazines.20. A. To become a professional writer.B. To get her life story published soon.C. To be employed by a newspaper.D. To sell her articles to a news service.II. Grammar and Vocabulary (20%)Section ADirections: After reading the passage below, fill in the blanks to make the passage coherent andgrammatically correct. For the blanks with a given word, fill in each blank with the proper form ofthe given word; for the other blanks, use one word that best fits each blank.I can still remember the afternoon when we climbed the mountain as if it were yesterday.It was a sunny day. Eager to spend some time outside, I went up the mountain with my uncle.The mountain was hard (21) ________(climb) and had tough rocks and streams on it. In the end,(22) ________ (exhaust) and hot, I couldn’t go any further. So we went back down the mountainin the end.On the way back down, my uncle asked me a question, (23) _____ left me speechless for ayoung lady?‖second: ―What’s your dream,r a while. Then he smiled and told me ―I have no idea,‖ I answered (24) _____thinking it foabout his story. He didn’t perform well at school when he was a student.Although nobody thoughthe could succeed, he knew clearly (25) ______his dream was-----to be a businessman. ―I knew Iwasn’t gifted when it came to studying, so I tried to buy snacks from a market and sell them afterclass,‖ he told me. After he left school, he started selling different items to find out which one wasmost attractive to customers. Of course, he often had no money in his pocket, but (26) ______tough life was, he never gave up.―There is no doubt that a person who puts in a great deal of effort to reach his or her goal willhave good luck at some point. The meaning of life is to chase your dream,‖ he said gently.That night I (27) ______ hardly fall asleep. I lay in bed tossing and turning, asking myself,―What’s my motivation?‖　I once wanted to be a top student, but the hard work needed meant (28) _____ (put)everything into following my passion. If I find myself lacking willpower, what should I do?Leaving home early the next morning, I climbed the mountain again by (29) _____. It made methink: If we don’t experience the climb, how can we get to see the scenery on the top of the mountain? In the end, I reached the top and (30) ______ (fascinate) by the warm breeze and sunshine. Nothing could be more pleasant than that.Section BDirections: Fill in each blank with a proper word chosen from the box. Each word can be use onlyonce. Note that there is one word more than you need.A. quicklyB. analyzeC. programmedD. adoptionE. boredomF. unaccompaniedG. dramaticH. transformI. distractedJ. peacefullyK. prospectImagine an urban neighborhood where most of the cars are self-driving. What would it be liketo be a pedestrian?Actually, pretty good. In fact, pedestrians might end up with the run of the place.In a new study published in the Journal of Planning Education and Research, Millard-Balllooks at the __31__of urban areas where a majority of vehicles are ―autonomous‖ or self-driving.It’s a phenomenon that’s not as far off as one might think.-Ball says. He ―Autonomous vehicles have the potential to __32__ travel behavior,‖ Millarduses game theory to __33__ the interactions between pedestrians and self-driving vehicles, with afocus on yielding at crosswalks.Because autonomous vehicles are by design risk-averse, Millard-Ball's model suggests that pedestrians will be able to act with impunity, and he thinks autonomous vehicles may facilitate ashift towards pedestrian-oriented urban neighborhoods. However, Millard-Ball also finds that the__34__ of autonomous vehicles may be hampered by their strategic disadvantage that slows themdown in urban traffic.Millard-Ball writes. Crossing the street, ―Pedestrians routinely play the game of chicken,‖　even at a marked crosswalk without a traffic signal, requires a probability calculation: what are theodds of survival?The benefit of crossing the street __35__, instead of waiting for a gap in traffic, is traded offagainst the probability of injury or even death. Pedestrians know that drivers are not interested inrunning them down -- usually. But there is the chance a driver may be __36__, or drunk.Self-driving cars are __37__ to obey the rules of the road, including waiting for pedestriansto cross. They could provide the most __38__ transformation in urban transportation systems.Parking, street design, and transportation service networks are likely to be revolutionized. In his latest study, Millard-Ball suggests that the potential benefits of self-driving cars -- avoiding __39__ of traffic and traffic accidents -- may be outweighed by the drawbacks of an always play-it-safe vehicle that slows traffic for everybody.―From the point of view of a passe nger in an automated car, it would be like driving down a-Ball writes.street filled with __40__ five-year-old children,‖ MillardAlternatively, planners could seize the opportunity to create more pedestrian-oriented streets. Autonomous vehicles could start a new era of pedestrian domination.III. Reading Comprehension (45%)Section ADirections: For each blank in the following passage there are four words or phrases marked A, B，C and D. Fill in each blank with the word or phrase that best fits the context.Everybody loves to hate invasive species. The international list of invasive species—defined as those that were introduced by humans to new places, and then __41__ — runs to over 4,000. In Australia and New Zealand hot war is fought against introduced creatures like cane toads (蔗蟾蜍) and rats.Some things that are uncontroversial(无争议的) are nonetheless foolish. With a few important exceptions, campaigns to __42__ invasive species are merely a waste of money and effort — for reasons that are partly practical and partly philosophical.Start with the practical arguments. Most invasive species are neither terribly successful norinvasive very__43__. Britons think themselves surrounded by foreign plants. __44__, Britain’s plants are not widespread, not spreading especially quickly, and often less of a(n) __45__ than vigorous native plants. The arrival of new species almost always __46__ biological diversity (多样性) in a region; in many cases, a flood of newcomers drives no native species to extinction. One reason is that invaders tend to colonise __47__ habitats like polluted lakes and post-industrialnists.wasteland, where little else lives. They are nature’s opportu The philosophical reason for starting war on the invaders is also __48__. Elimination campaigns tend to be __49__ by the belief that it is possible to restore balance to nature —to return woods and lakes to the state before human __50__. That is misguided. Nature is an。

浦东新区初三英语一模卷和答案解析

浦东新区2017学年第一学期初三教学质量检测英语试卷Part 1 Listening（第一部分听力）Ⅰ. Listening comprehension（听力理解）（共30分）A. Listen and choose the right picture（根据你听到的内容，选出相应的图片）（6分）1. ________2. ________3. ________4. ________5. ________6. ________B. Listen to the dialogue and choose the best answer to the question you hear（根据你所听到的对话和问题，选出最恰当的答案）（8分）7. A. In June. B. In May. C. In July. D. In March.8. A. A teacher. B. A shop assistant. C. A shop manager.D. A bank clerk.9. A. Clean the kitchen. B. Lay the table.C. Cook with Jenny.D. Enjoy the dinner.10. A. Rainy. B. Sunny. C. Cloudy. D. Snowy.11. A. At 1:00 . B. At 2:00 . C. At 3:00 . D. At 5:00 .12. A. In the library. B. In the cinema.C. In the restaurant.D. In the book store.13. A. Because they get lost again. B. Because he doesn’t feel very well.C. Because the car needs repairing.D. Because he’s not sure how far they can go.14. A. The woman lives in a house on Lake Street.B. The woman doesn’t want to live with her roommate.C. The woman wants to share a house with Rob.D. The woman and her roommate want to move into Rob’s house.C. Listen to the passage and tell whether the following statements are true or false （判断下列句子是否符合你听到的短文内容，符合的用“T”表示，不符合的用“F”表示）（6分）15. When Jason opened the hotel room door in Hawaii, it was 10:30 .16. Jason walked out onto the balcony to breathe the warm and fresh night air.17. Jason was a guest of Room 645 and was locked in his bathroom that night.18. Jason climbed over to the balcony of the neighbour and asked for help.19. The clerk of the front desk heard Jason’s shouts and came to help him.20. From then on, Jason would possibly be more careful than before.D. Listen to the passage and complete the following sentences（听短文，完成下列内容。

2017-2018学年上海市杨浦区第一学期初三英语质量调研卷(解析版)

杨浦区2017-2018学年度第一学期期末质量调研初三英语练习卷(满分150分,考试时间:100分钟)考生注意:本卷有7大题,共94小题。

2016~2017学年上海市浦东新区英语中考一模卷

浦东新区2016学年度第一学期期末初三教学质量检测英语试卷Part 1 Listening （第一部分听力）I. Listening comprehension （听力理解）（共30分）A. Listen and choose the right picture （根据你听到的内容，选出相应的图片）（6分）1. ______2. ______3. ______4. ______5. ______6. ______B. Listen to the dialogue and choose the best answer to the question you hear. （根据你听到的对话和问题，选出最恰当的答案）（8分）7. A. A doctor B. A shop assistant C. A teacher D. A secretary8. A. Twice a month B. Once a month C. Twice a week D. Once a year9. A. By taxi B. By bus C. On foot D. By underground10. A. Black B. White C. Red D. Brown11. A. At 9:00 B. At 9:20 C. At 10:00 D. At 10:2012. A. Three B. Four C. Five D. Six13. A. In a café B. In a supermarket C. In a department store D. In a toy shop14. A. Teacher and student B. Shop assistant and customerC. Driver and passengerD. Doctor and patientC. Listen to the passage and tell whether the following statements are true or false （判断下列句子是否符合你听到的短文内容，符合的用“T”表示，不符合的用“F”表示）（6分）15. British people love to wait in line in a bar.16. You shouldn’t speak loudly or snap your fingers to attract the bar workers.17. You can ring the bell hanging behind the counter.18. To make the bar workers see you, you can hold an empty glass or some money.19. People can’t stand against the bar when there are a lot of customers waiting for service.20. The Dutch（荷兰的）tourist understands how the British are able to buy themselves a drink.D. Listen to the passage and complete the following sentences （听短文，完成下列内容，每空格限填一词）（10分）21. To have healthy eyes, you must ______ ______ them properly.22. We should also take a ______ ______ of Vitamin A and B2?23. It relaxes eye muscles to sleep for ______ ______ 7 to 8 hours every day.24. Blink your eyes to make the eyeballs watery and give them a ______ ______.25. Don’t rub your eyes because rubbing is ______ ______ your eyes.Part 2 Phonetics, Grammar and Vocabulary（第二部分语音、语法和词汇）II. Choose the best answer （选择最恰当的答案）（共20分）26. Which of the following underlined parts is different from the others in pronunciation?A. jumpsB. conclusionsC. interviewsD. miles27. Last night, a man sat at a metro station and started to play ______ violin.A. aB. /C. theD. an28. I will tell you my opinion on keeping pets, and Jane will express ______.A. herB. hersC. sheD. herself29. ______ the evening of March 30th , Adair was killed by someone unknown.A. OnB. AtC. InD. For30. She managed to escape ______ the burning car last Friday.A. ofB. fromC. aroundD. to31. ______ Chinese make their way back home before the Spring Festival.A. Million ofB. Ten millionsC. Millions ofD. Ten millions of32. The twin sisters look so similar that I can’t tell one from ______.A. othersB. anotherC. otherD. the other33. The coffee in Starbucks smells quite ______. Let’s have a taste.A. greatlyB. wellC. wonderfullyD. nice34. In the nature, male birds are usually ______ than female ones.A. colourfulB. much colourfulC. much more colourfulD. most colourful35. ______ I sometimes argue with my parents, I am still thankful to them.A. BecauseB. WhenC. AlthoughD. Since36. -- _______ do the teenagers have their teeth checked?-- Once a year.A. How longB. How soonC. How oftenD. How much37. On Taobao, customers can return goods with no questions asked, but they ______ pay delivery costs.A. have toB. mustn’tC. canD. needn’t38. The students of Grade Eight ______ reading 9 exciting mystery stories so far.A. finishedB. have finishedC. finishD. will finish39. After beating Hillary Clinton in the presidential election, Donald Trump ______ the 45th president of the US on January 20th , 2017.A. becomesB. becameC. has becomeD. will become40. A good way to get prepared for an exam is ______ full use of your time.A. madeB. makesC. makeD. to make41. In order to memorize the new words, you’d better practice ______ them again and again.A. to useB. usingC. to usingD. uses42. The ever-growing space explorations mean that more astronauts ______.A. requireB. was requireC. requiredD. are required43. ______ terrible the hazy weather is in that city in winter! Let’s take immediate action!A. WhatB. What aC. HowD. How a44. –Sorry, I’ve left the key at home. I am so forgetful!-- ______A. It’s a pityB. It’s my pleasureC. Please go aheadD. That’s all right45. – Would you mind my taking a look at your chemistry notes?-- ______A. Never mindB. Take it easyC. Of course notD. You’re welcomeIII. Complete the following passage with the words or phrases in the box. Each can be used only once（将下列单词或词组填入空格，每空格限填一词，每词只能填一次）（共8分）A. writeB. whatC. tipsD. lookE. sharedEvery time you go online, you leave a trail（痕迹）. This is just like a real footprint. It reveals where you’ve been, how long you’ve been there and ___46___ you’ve been doing there. The information can be accessed so it is advisable to be careful when you are online. Here are four ___47___ to take care of your digital footprint.1)Don’t forget to log off（退出）when you leave a website, especially if you are using a ___48___ computer. If you don’t, someone may pretend to be you.2)Don’t tell anyone your passwords and don’t __-49___ them down in an obvious place. Make them more complex by using a combination of letters and numbers.A. now and thenB. safeC. unlessD. becauseE. details3)Remember your favorite websites by using the history button and the bookmark function on your computer. This is a way that your digital footprint can work in your favor, but remember to clear your browser history ___50))).4) Be careful about whom you are communicating with and always think twice before telling ___51___ like your home address, phone number, etc. to someone else.Now, it’s quite common for companies to check out the online information of possible candidates（申请人）. In many cases, companies choose the right persons not ___52___ how much information they put online. Many other factors are also considered. So remember, keep ___53___, don’t put too much unnecessary personal information online, and always think carefully before you post something.IV. Complete the sentences with the given words in their proper forms （用括号中所给单词的适当形式完成下列句子，每空格限填一词）（共8分）54. That army officer is brave enough to fight against those _______. (enemy)55. I was very disappointed at ______ because they were so unkind to the disabled. (they)56. Langping helped the Chinese Women’s Volleyball Team win the gold medal in her ______. (fifty)57. The smart kid is learning to ______ two foreign languages at the same time. (speech)58. Shanghai Disneyland is an ______ park which is popular among visitors. (amusing)59. People show their respect to the ______ policeman for his great deeds. (wound)60. It was surprising that my father dealt with this problem in such a/an ______ way. (usual)61. Traditional Chinese medical treatment is ______ practiced in western countries now. (wide)V. Complete the following sentences as required. （根据所给要求完成句子，62-67小题每空格限填一词）62. A Yorkshire village has created a mini museum in a phone box. （改为一般疑问句）______ a Yorkshire village ______ a mini museum in a phone box?63. The detective interviewed Ben to get some information. （对划线部分提问）______ ______ the detective interview Ben?64. These kids are so young that they can’t make a wise choice. （保持句意不变）These kids are ______ young ______ make a wise choice.65. He can’t decide what to buy for his mother’s birthday. （改为宾语从句）He can’t decide what ______ ______ buy for his mother’s birthday.66. You can pay the bill in cash. You can pay the bill by credit card. （两句合并成一句）You can pay the bill ______ in cash ______ by credit card.67. Electronic brains seldom do wrong calculations. （改为反义疑问句）Electronic brains seldom do wrong calculations, ______ ______?68. the city, succeeded in, a trick, capturing, through, they （连词成句）____________________________________________________________Part 3 Reading and Writing （第三部分读写）VI. Reading comprehension （阅读理解）（共50分）A. Choose the best answer （根据短文内容，选择最恰当的答案）（12分）69. We can possibly find this passage from a/an ______.A. newspaperB. advertisement boardC. rental officeD. insurance company70. When you rent a bicycle, you can get extra things EXCEPT ______.A. a lockB. patchesC. test tubesD. a pump71. According to the paper, it costs ______ to rent a bicycle for two hours.A. $12B. $20C. $32D. $3572. You don’t need to write ______ in the paper.A. your signatureB. the rental dateC. the rental periodD. the price of the bicycle73. ______ would require the renter to pay an additional amount.A. Returning the bicycle one hour lateB. Riding the bike no farther than 100 milesC. Using a patch from the tool boxD. Refusing to sign the paper74. If you have a flat tire（爆胎）, you can ______.A. fix it with the tools in the box without payingB. make a phone call to the agentC. call the insurance companyD. leave it where it broke downB. Choose the best words and complete the passage （选择最恰当的单词完成短文）（12分）Up until I went to school, I was a happy child. Then kids found out that learning was difficult for me and they would point out and call me names. I ___75___ math, English, and science. I remember sitting in class one day, divided up into groups, when a girl in my group stood up, pointing to me, and said, “I’m not going to work with that stupid boy!” It made me feel terrible.Through primary school and middle school, I could ___76___ read. A professional came to our home one day, after putting me through a number of tests, he told my mother that I would never be able to read. My mother was so ___77__ that she told him to leave the house.Years later, as a new high school student, I ___78___ a science fiction book one day, and to my great joy, it was suddenly easy to read. The stories in the book stimulated my imagination. Then the words weren’t words anymore ___79___ pictures in my head. I started to read other books and really got interested in reading. I started learning better and using larger words.It was about at this time that I began to excel at arts. I learned that I have an incredible eye for shapes and designs. I write about my experiences. I write poetry, too. Toward the end of high school, I won a lot of art gallery shows and gained a lot of ___80___.Grades are important. But there is so much more to an education than good grades. So don’t let grades get in the way of your education.75. A. was fond of B. was careful with C. was poor at D. was good at76. A. hardly B. nearly C. actually D. usually77. A. happy B. excited C. surprised D. angry78. A. picked up B. took up C. looked up D. put up79. A. so B. or C. but D. and80. A. honesty B. humor C. safety D. honorC. Read the passage and fill in the blanks with proper words（在短文的空格内填入适当的词，使其内容通顺，每空格限填一词，首字母已给）（14分）An extract from The Greatest Tales of Sherlock HolmesI think I will tell you what happened last night. My husband Sir Eustace went to bed atabout half past ten. The servants had already gone to their rooms. Only my housekeepers___81___ in her room at the top of the house until I needed her.I sat until after eleven in this room, deep in a book. Then I walked round to see that allwas right before I went u___82___. I always did this myself, to be sure that everything isOK. I went into the kitchen, the storeroom, the living-room, and f___83___ the dining-room. As I came near the window, which is covered with thick curtains, I suddenly felt the wind blow on my face, and realized that it was o___84___. I pulled the curtain to one side, and found myself face to face with a broad-shouldered, elderly man who had just walked into the room. The window is a long French one, which really forms a door leading to the lawn. By the light of my bedroom candle I saw two other men entering behind the first. I was so scared, trembling. I s___85___ back quickly, but the man was on me in a moment. He caught me first by the wrist and then by the throat. I struggled to scream, but he hit me heavily over the eye, and I fell to the ground.I must have been unconscious for a few minutes. When I woke up, I found that they had torn down the bell-rope and had tied me tightly to the c___86___ standing at the head of the dining table. I was so firmly bound that Icould not move, and a handkerchief round my mouth prevented me from making any sound. It was at this moment that my unfortunate husband came into the room. He had c___87___ heard some suspicious sounds, and he came prepared. When he rushed at one of the burglars, another man bent down and took the poker（拨火棍）out of the fireplace and struck him heavily as he passed. My husband fell without a groan（呻吟）and never moved again.(To be continued)D. Answer the question （根据短文内容回答问题）（12分）A letter to alcoholDear Alcohol,You’ve been around forever. I can remember all the pain you’ve caused me.Do you remember the night when you took advantage of my 17-year-old neighbor who had to drive to pick up his sister from her dance lessons? Do you know how we all felt when he hit another car and killed the two people in the other car? He died the next morning, too. His sister walked home from her dance lesson, and passed police cars and a crowd of people gathering on the sidewalk just two blocks away from the dance studio. She didn’t realize her brother was in the midst of it at all. She never saw him again. And it’s all because of you!Do you remember the night of my first high school party? You were with my friends. They treated you as if they were never going to see you again. I spent about two hours that night helping my friends. “I’m sorry,” they said when I called taxis for some of them and took another two to hospital. Thanks to you, the two poor girls slept in hospital beds that night.Do you remember the night you almost took my father’s life? I do! He loves you. Sometimes I think he loves you more than he loves me. He is addicted to（沉迷）you. You have brought him much more trouble instead of taking his problems away. One night, he drank too much of you and that nearly killed him! You just sat back and laughed when his car went like a flash through the street, crashing into two other cars. And he wasn’t the only one hurt by you that night.I wish you’d walk out of my life forever. I don’t want to have anything to do with you. Look at all the pain you’ve caused. Sure, you’ve made people happy once in a while. But the damage you’ve caused in the lives of millions is inexcusable. Stop hurting the people I love and stop hurting me, please.Sincerely,Stella88. Has alcohol caused Stella lots of pain?89. Whom did Stella’s neighbor have to collect on the day of the accident?90. How much time did Stella spend helping her friends on the night of her first high school party?91. How did Stella help her friends after the party?92. Why did Stella’s father almost lose his life one night?93. How many examples did Stella use to express her hatred（憎恨）to alcohol in this letter?And why did she hate alcohol so much?(List at least 2 reasons.)VII. Writing （作文）（共20分）94. Write at least 60 words about the topic “I want to be a/an ________ in group work”. （以“在小组活动中我想做______”为题，写一篇不少于60个词的短文，标点符号不占格。

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浦东新区2017学年第一学期初三教学质量检测数学试卷（完卷时间：100分钟，满分：150分）2018.1考生注意：1．本试卷含三个大题，共25题．答题时，考生务必按答题要求在答题纸．．．规定的位置上作答，在草稿纸、本试卷上答题一律无效．2．除第一、二大题外，其余各题如无特别说明，都必须在答题纸．．．的相应位置上写出证明或计算的主要步骤．一、选择题：（本大题共6题，每题4分，满分24分）【下列各题的四个选项中，有且只有一个选项是正确的，选择正确项的代号并填涂在答题纸的相应位置上】1．如果把一个锐角三角形三边的长都扩大为原来的两倍，那么锐角A 的余切值（A ）扩大为原来的两倍；（B ）缩小为原来的21；（C ）不变；（D ）不能确定． 2．下列函数中，二次函数是（A ）54+-=x y ；（B ）)32(-=x x y ；（C ）22)4(x x y -+=；（D ）21xy =. 3．已知在Rt △ABC 中，∠C =90°，AB =7，BC =5，那么下列式子中正确的是（A ）75sin =A ；（B ）75cos =A ；（C ）75tan =A ；（D ）75cot =A ． 4．已知非零向量a ，b ，c ，下列条件中，不能判定向量a与向量b 平行的是（A ）c a //，c b //；（B=（C ）c a =，c b 2=；（D ）0=+b a ．5．如果二次函数2y ax bx c =++的图像全部在x 轴的下方，那么下列判断中正确的是（A ）0<a ，0<b ；（B ）0>a ，0<b ；（C ）0<a ，0>c ；（D ）0<a ，0<c ．6．如图，已知点D 、F 在△ABC 的边AB 上，点E 在边AC 上，且DE ∥BC ，要使得EF ∥CD ，还需添加一个条件，这个条件可以是（A ）EFADCD AB =；（B ）AE ADAC AB =；（C ）AF ADAD AB=；（D ）AF AD AD DB=．BA F E CD（第6题图）二、填空题：（本大题共12题，每题4分，满分48分） 7．已知23=y x ，则yx y x +-的值是 ▲ ． 8．已知线段MN 的长是4cm ，点P 是线段MN 的黄金分割点，则较长线段MP 的长是 ▲ cm ． 9．已知△ABC ∽△A 1B 1C 1，△ABC 的周长与△A 1B 1C 1的周长的比值是23，BE 、B 1E 1分别是它们对应边上的中线，且BE =6，则B 1E 1= ▲ ． 10．计算：132()2a ab +-= ▲ ． 11．计算：3tan30sin45︒+︒= ▲ ．12．抛物线432-=x y 的最低点坐标是 ▲ ．13．将抛物线22x y =向下平移3个单位，所得的抛物线的表达式是 ▲ ．14．如图，已知直线l 1、l 2、l 3分别交直线l 4于点A 、B 、C ，交直线l 5于点D 、E 、F ，且l 1∥l 2∥l 3，AB =4，AC =6，DF =9，则DE = ▲ ．15．如图，用长为10米的篱笆，一面靠墙（墙的长度超过10米），围成一个矩形花圃，设矩形垂直于墙的一边长为x 米，花圃面积为S 平方米，则S 关于x 的函数解析式是 ▲ （不写定义域）．16．如图，湖心岛上有一凉亭B ，在凉亭B 的正东湖边有一棵大树A ，在湖边的C 处测得B在北偏西45°方向上，测得A 在北偏东30°方向上，又测得A 、C 之间的距离为100米，则A 、B 之间的距离是 ▲ 米（结果保留根号形式）．17．已知点（-1，m ）、（2，n ）在二次函数122--=ax ax y 的图像上，如果m >n ，那么a ▲ 0（用“>”或“<”连接）．18．如图，已知在Rt △ABC 中，∠ACB =90°，54cos =B ，BC=8，点D 在边BC 上，将 △ABC 沿着过点D 的一条直线翻折，使点B 落在AB 边上的点E 处，联结CE 、DE ，当∠BDE =∠AEC 时，则BE 的长是 ▲ .（第15题图）A DEB CFl 1 l 2 l 3l 4（第14题图）l 5 （第16题图）CBA45° 30° CBA（第18题图）三、解答题：（本大题共7题，满分78分） 19．（本题满分10分）将抛物线542+-=x x y 向左平移4个单位，求平移后抛物线的表达式、顶点坐标和对称轴．20．（本题满分10分，每小题5分）如图，已知△ABC 中，点D 、E 分别在边AB 和AC 上，DE ∥BC ，且DE 经过△ABC 的重心，设BC a =．（1）=DE ▲ （用向量a 表示）；（2）设AB b =，在图中求作12b a +．（不要求写作法，但要指出所作图中表示结论的向量．）21．（本题满分10分，其中第（1）小题4分，第（2）小题6分）如图，已知G 、H 分别是□ABCD 对边AD 、BC 上的点，直线GH 分别交BA 和DC 的延长线于点E 、F ．（1）当81=∆CDGHCFH S S 四边形时，求DGCH 的值；（2）联结BD 交EF 于点M ，求证：MG ME MF MH ⋅=⋅.22．（本题满分10分，其中第（1）小题4分，第（2）小题6分）如图，为测量学校旗杆AB 的高度，小明从旗杆正前方3米处的点C 出发，沿坡度为3:1=i 的斜坡CD 前进32米到达点D ，在点D 处放置测角仪，测得旗杆顶部A 的仰角为37°，量得测角仪DE 的高为1.5米．A 、B 、C 、D 、E 在同一平面内，且旗杆和测角仪都与地面垂直.（1）求点D 的铅垂高度（结果保留根号）；（2）求旗杆AB 的高度（精确到0.1）．（参考数据：sin37°≈0.60，cos37°≈0.80，tan37°≈0.75，73.13≈．） 23．（本题满分12分，其中第（1）小题6分，第（2）小题6分）如图，已知，在锐角△ABC 中，CE ⊥AB 于点E ，点D 在边AC上，联结BD 交CE 于点F ，且DF FB FC EF ⋅=⋅. （1）求证：BD ⊥AC ；（2）联结AF ，求证：AF BE BC EF ⋅=⋅.（第20题图）ABCD E（第22题图）A （第23题图）DEFB C（第21题图）ABHF ECG D24．（本题满分12分，每小题4分）已知抛物线y ＝ax 2＋bx ＋5与x 轴交于点A (1，0)和点B (5，0)，顶点为M ．点C 在x 轴的负半轴上，且AC ＝AB ，点D 的坐标为(0，3)，直线l 经过点C 、D ．（1）求抛物线的表达式；（2）点P 是直线l 在第三象限上的点，联结AP ，且线段CP 是线段CA 、CB 的比例中项，求tan ∠CP A 的值；（3）在（2）的条件下，联结AM 、BM ，在直线PM 上是否存在点E ，使得∠AEM =∠AMB .若存在，求出点E25．（本题满分14分，其中第（1）小题4分，第（2）小题5分，第（3）小题5分）如图，已知在△ABC 中，∠ACB=90°，BC =2，AC =4，点D 在射线BC 上，以点D 为圆心，BD 为半径画弧交边AB 于点E ，过点E 作EF ⊥AB 交边AC 于点F ，射线ED 交射线AC 于点G ．（1）求证：△EFG ∽△AEG ；（2）设FG =x ，△EFG 的面积为y ，求y 关于x 的函数解析式并写出定义域；（3）联结DF ，当△EFD 是等腰三角形时，请直接．．写出FG 的长度．（第24题图）（第25题备用图）ABC（第25题备用图）ABC浦东新区2017学年度第一学期初三教学质量检测数学试卷参考答案及评分标准一、选择题：（本大题共6题，每题4分，满分24分） 1．C ； 2．B ； 3．A ； 4．B ； 5．D ； 6．C ．二、填空题：（本大题共12题，每题4分，满分48分） 7．51；8．252-； 9．4；10．5a b -；11．223+；12．（0,-4）；13．322-=x y ； 14．6； 15．x x S 1022+-=；16．50350+；17．>；18．539．三、解答题：（本大题共7题，满分78分）19．解：∵54442+-+-=x x y =1)2(2+-x ．…………………………………（3分） ∴平移后的函数解析式是1)2(2++=x y ．………………………………（3分）顶点坐标是（-2，1）．……………………………………………………（2分）对称轴是直线2x =-．………………………………………………… （2分）20．解：（1）=DE 23a ．……………………………（5分）（2）图正确得4分，结论：AF 就是所要求作的向量． …（1分）．21．（1）解：∵81=∆CDGHCFH S S 四边形，∴91=∆∆DFG CFH S S ．……………………………………………………（1分） ∵ □ABCD 中，AD //BC ,∴ △CFH ∽△DFG ． ………………………………………………（1分）∴ 91)(2==∆∆DG CH S S DFG CFH ．…………………………………………… （1分）∴ 31=DG CH ． …………………………………………………………（1分）（2）证明：∵ □ABCD 中，AD //BC ， ∴ MGMH MD MB =． ……………………………………（2分） ∵ □ABCD 中，AB //CD ， ∴ MD MB MF ME =．……………………………………（2分）（第21题图）A HFC GD M（第20题图）B∴ MGMHMF ME =．……………………………………（1分） ∴ MH MF ME MG ⋅=⋅． ……………………………（1分） 22．解：（1）延长ED 交射线BC 于点H .由题意得DH ⊥BC .在Rt △CDH 中，∠DHC =90°，tan ∠DCH=i =……………（1分） ∴ ∠DCH =30°．∴ CD =2DH ．……………………………（1分） ∵ CD=∴ DHCH =3 .……………………（1分）答：点D 的铅垂高度是3米.…………（1分）（2）过点E 作EF ⊥AB 于F .由题意得，∠AEF 即为点E 观察点A 时的仰角，∴ ∠AEF =37°. ∵ EF ⊥AB ，AB ⊥BC ，ED ⊥BC ， ∴ ∠BFE =∠B =∠BHE =90°. ∴ 四边形FBHE 为矩形.∴ EF =BH =BC +CH =6. ……………………………………………（1分）FB =EH =ED +DH =1.5+3. ……………………………………（1分）在Rt △AEF 中，∠AFE =90°，5.475.06tan ≈⨯≈∠⋅=AEF EF AF .（1分） ∴ AB =AF +FB =6+3 ………………………………………………（1分） 7.773.16≈+≈. ……………………………………………（1分）答：旗杆AB 的高度约为7.7米. …………………………………（1分）23．证明：（1）∵ DF FB FC EF ⋅=⋅，∴FCFBDF EF =. ………………………（1分） ∵ ∠EFB =∠DFC ， …………………（1分） ∴ △EFB ∽△DFC . …………………（1分） ∴ ∠FEB =∠FDC . ………………… （1分） ∵ CE ⊥AB ， ∴ ∠FEB = 90°.……………………… （1分） ∴ ∠FDC = 90°.∴ BD ⊥AC . ………………………… （1分）（第22题图）A （第23题图）DEFB C（2）∵ △EFB ∽△DFC ，∴ ∠ABD =∠ACE . …………………………………………… （1分）∵ CE ⊥AB ，∴ ∠FEB = ∠AEC= 90°.∴ △AEC ∽△FEB . ……………………………………………（1分）∴EB ECFE AE =.……………………………………………………（1分） ∴ EBFEEC AE =. …………………………………………………（1分） ∵ ∠AEC =∠FEB = 90°，∴ △AEF ∽△CEB .………………………………………………（1分）∴ EBEFCB AF =，∴ AF BE BC EF ⋅=⋅. ………………………（1分） 24．解：（1）∵ 抛物线52++=bx ax y 与x 轴交于点A （1，0），B （5，0），∴ ⎩⎨⎧=++=++.0552505b a b a ； ……………………… …（1解得⎩⎨⎧-==.61b a ；…………………………（2∴ 抛物线的解析式为562+-=x x y .……（1 （2）∵ A （1，0），B （5，0），∴ OA=1，AB=4.∵ AC=AB 且点C 在点A 的左侧，∴ AC=4 .∴ CB=CA+AB=8. ………………………………………………（1分） ∵ 线段CP 是线段CA 、CB 的比例中项，∴CBCPCP CA =. ∴ CP=24. ……………………………………………………（1分）又 ∵ ∠PCB 是公共角，∴ △CP A ∽△CBP .∴ ∠CP A= ∠CBP . ………………………………………………（1分）过P 作PH ⊥x 轴于H .∵ OC=OD=3，∠DOC=90°，∴ ∠DCO=45°.∴ ∠PCH=45°∴ PH=CH=CP 45sin =4，∴ H （-7，0），BH=12. ∴ P （-7，-4）.（第24题图）∴ 31tan ==∠BH PH CBP ，31tan =∠CPA . ………………………（1分）（3） ∵ 抛物线的顶点是M （3，-4），………………………………… （1分）又 ∵ P （-7，-4），∴ PM ∥x 轴 . 当点E 在M 左侧，则∠BAM=∠AME . ∵ ∠AEM=∠AMB ，∴ △AEM ∽△BMA .…………………………………………………（1分）∴BA AM AM ME =. ∴45252=ME . ∴ ME=5，∴ E （-2，-4）. …………………………………（1分）过点A 作AN ⊥PM 于点N ，则N （1，-4）. 当点E 在M 右侧时，记为点E '， ∵ ∠A E 'N=∠AEN ，∴ 点E '与E 关于直线AN 对称，则E '（4，-4）.………………（1分）综上所述，E 的坐标为（-2，-4）或（4，-4）.25．解：（1）∵ ED =BD ，∴ ∠B =∠BED ．………………………………（1∵ ∠ACB =90°， ∴ ∠B +∠A =90°． ∵ EF ⊥AB ， ∴ ∠BEF =90°．∴ ∠BED +∠GEF =90°．∴ ∠A =∠GEF ． ………………………………（1∵ ∠G 是公共角， ……………………………（1∴ △EFG ∽△AEG ． …………………………（1（2）作EH ⊥AF 于点H ．∵ 在Rt △ABC 中，∠ACB =90°，BC =2，AC =4， ∴ 21tan ==AC BC A ． ∴ 在Rt △AEF 中，∠AEF =90°，21tan ==AE EF A ．∵ △EFG ∽△AEG ，∴ 21===AE EF GA GE EG FG ．……………………………………………（1分）∵ FG =x ，∴ EG =2x ，AG =4x ．∴ AF =3x ． ……………………………………………………………（1分） ∵ EH ⊥AF ，∴ ∠AHE =∠EHF =90°． ∴ ∠EF A +∠FEH =90°．∵ ∠AEF =90°， ∴ ∠A +∠EF A =90°． ∴ ∠A =∠FEH ． ∴ tan A =tan ∠FEH ．∴ 在Rt △EHF 中，∠EHF =90°，21tan ==∠EH HF FEH ． ∴ EH =2HF ．∵ 在Rt △AEH 中，∠AHE =90°，21tan ==AH EH A ． ∴ AH =2EH ． ∴ AH =4HF ． ∴ AF =5HF ．∴ HF =x 53．∴ x EH 56=．…………………………………………………………（1分）∴ 253562121x x x EH FG y =⋅⋅=⋅⋅=．………………………………（1分）定义域：（340≤<x ）． ……………………………………………（1分）（3）当△EFD 为等腰三角形时，FG 的长度是：25425,,27312-．……（5分）。