2019-2020学年上海外国语大学附属浦东外国语学校八年级(上)第一次月考数学试卷(PDF版 含解析)
沪教版2019-2020学年八年级上学期英语第一次月考试卷(II )卷
沪教版2019-2020学年八年级上学期英语第一次月考试卷（II ）卷一、完形填空 (共1题；共5分)1. （5分）阅读下面短文，掌握其大意。
然后从各题所绘的A、B、C、D四个选项中选出最佳答案。
AOur eyes are very important to us. They are like cameras. We can 1 with our eyes. But if we don't take care of them, they may get hurt. 2 can we protect our eyes?On 3 days when the sun shines brightly, we'd better wear sunglasses. When we 4, we shouldn't stay too close to the books and the light shouldn't be too bright or too dark. We shouldn't read in bed. It's bad for our 5. We mustn't play games too long on computers or on mobile phones.（1）A . hearB . tasteC . smellD . see（2）A . WhyB . HowC . WhenD . Where（3）A . sunnyB . rainyC . windyD . snowy（4）A . danceB . talkC . readD . sing（5）C . earsD . teeth二、阅读理解 (共4题；共40分)2. （10分）阅读下面表格，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。
（1）Maria is Jeff's sister, so what's Maria's family name?A . Bush.B . Jeff.C . Smith.D . Gina.（2）Gina has a brother. Who is her brother according to(根据)the telephone number?A . Jeff.B . Smith.C . Paul.D . Bush.（3）What does Paul like?A . Soccer.B . Baseball.C . Computer games.D . Volleyball.（4）Who likes volleyball?A . Jeff.B . Gina.C . Paul.D . Maria.（5）Who likes playing computer games?A . Jeff.B . Gina3. （10分）阅读理解Children's play area rulesNo smoking(吸烟).No food or drinks.No glassware(玻璃制品).No shoes in the play area, but wear socks at the time.Train museum(博物馆) rulesChildren must be with their group or parentsNo runningNo smokingDo not get onto any trains.Pool rulesNo animals in the pool area.No food or drinks in the poolPlease take a shower(洗淋浴) before getting into the pool.No glassware in the pool.（1）What must children wear in the play area?A . Shoes.B . Socks.C . Gloves.D . Glasses.（2）What can people probably(很可能) do in the train museum?A . Smoke.B . Run.C . Take photos.D . Get on the trains.（3）What must people do before getting into the pool?A . Eat something.B . Take a shower.C . Take off their clothes.D . Brush their teeth.（4）How many rules about the play area and the pool are the same?A . One.B . Two.C . Three.D . Four.（5）Which of the following is TRUE?A . There are five rules in the play area.B . The train museum isn't for children.C . People can't smoke in the play area.D . People can take their dogs to the pool.4. （10分）阅读理解We may feel hungry(饿的) when we hear the words like pizza and French fries. A lot of people think these foods taste good. But I think they are not good for our body. They are junk food, and they will make us fat and unhealthy. We should eat these things in moderation. It means we cannot eat them too much. These foods are OK to eat once in a while, but we need to eat other things, too, because our body needs energy.We need some vegetables and fresh fruits every day. These foods give our body vitamins and nutrients(营养物质). Protein(蛋白质)is important, too. We can get protein by eating beans, meat and fish. Eggs and milk give you protein, too!Milk gives our body calcium(钙). Our body needs these to keep it working. Calcium is good for our bones and teeth.We only have one body. We must take care of it. Fruits, dairy(乳制品)and grains(谷物)are the part of it. We should often eat them. We must eat the right food to keep us healthy.（1）Which of the following is NOT mentioned(谈到)?A . Bread.B . French flies.C . Vegetables.D . Pizza.（2）What does the underlined word “moderation” mean in Chinese?A . 适量B . 大量C . 过量D . 杜绝（3）Which of the following food can give our body protein?A . Beans and meat.B . Fish and eggs.C . Milk.D . All of the above.（4）We may get calcium by having .A . pizza and French friesB . vegetablesC . milkD . fresh fruits（5）How to keep a balanced diet?A . We should only eat fruits every day.B . We should only eat diary every day.C . We should only eat grains every day.D . We should eat fruits, dairy and grains every day.5. （10分）阅读理解AO. Henry, a famous American writer of short stories, was born in North Carolina in 1862. O. Henry was a pen name. His real name was William Sydney Porter. When he was a young boy, he did not go to school for long because of being born in a poor family, but he tried to teach himself everything he needed to know.When he was about 20 years old, O. Henry went to Texas. There he tried different jobs. He first worked on a newspaper, and then had a job in a bank. But he got himself into some trouble. Some money went missing from the bank. O. Henry was believed to have stolen(偷)it, so he was sent to prison(监狱). During the three years in prison, he learned to write short stories. After he got out of prison, he went to New York and went on writing.He wrote mostly about New York and the life of the poor there. People liked his stories, because almost all of them finished with a sudden change. This made the readers surprised.（1）________ was the real name of the famous American writer.A . O. HenryB . William Sydney PorterC . CarolinaD . Texas（2）O. Henry was sent to prison because ________.A . people thought he had stolen money from the newspaperB . people thought he had stolen money from the bankC . he wanted to write stories about prisonersD . he broke the law(法律)by not using his own name（3）Which of the following is true?A . O. Henry was from a rich family.B . O. Henry was in school for a long time.C . O. Henry learned everything he needed by himself.D . O. Henry liked writing stories when he was a little boy.（4）O. Henry got most materials(材料) for his stories from ________.A . his happy life as a boyB . New York and the poor in the cityC . the newspaperD . his life in prison（5）People enjoyed reading O. Henry's stories because ________.A . they had surprising endingsB . they were easy to understandC . they showed love for the poorD . they were about New York三、补全单词 (共1题；共10分)6. （10分）根据短文内容和中文提示或音标，写出空白处各单词的正确形式，每空限填一词。
沪教版中学2019-2020学年八年级上学期英语第一次月考试卷(I)卷
沪教版中学2019-2020学年八年级上学期英语第一次月考试卷（I）卷一、单项选择 (共10题；共20分)1. （2分）The students ________ school things ________ the store.A . sells；toB . buy；fromC . sell；fromD . buy；to2. （2分）A: Mum, ______ I go to see a film this afternoon?B: Sure, but you ______ finish your homework first.A . may; needB . can; mustC . can; mustn'tD . may; can't3. （2分）It's time ______now.A . for lunchB . to go to homeC . for go to schoolD . to go school4. （2分）—Jay Chou is popular with the young.—So the audience that attend Jay Chou's concerts are mainly ________ young people.A . made fromB . made up ofC . made of5. （2分）Does he ____ an hour______ his homework after school?A . spend; doingB . spend; doC . spends; doingD . spend; to spend6. （2分）—What are they talking ________?—I am not sure. Because they are talking ______English, I don't know English .A . to; withB . to; inC . with; aboutD . about; in7. （2分）He won in the story competition and his parents were very .A . smartB . proudC . sorryD . upset8. （2分）—What color is the cup?—It's .A . a yellowB . a mapC . yellow9. （2分）The television is broken down and it should be thrown___________.A . asideB . awayC . backD . off10. （2分）——Which sport do you like better, swimming or playing basketball?——I prefer ______ to _______. I don't like water sports.A . swimming, playing basketballB . swim, play basketballC . playing basketball, swimming二、完形填空 (共1题；共10分)11. （10分）完形填空Today many Chinese people want to improve their English in different ways. Recently twenty—four young singers from all over China entered a competition by singing popular English songs. Nearly allthe singers sang very1 comfortably on the stage.2all of them took part in the competition for the first time , they were able to sing English songs just as well as native speakers.The winner of the men's competition was a3man from Xi'an and the winner of the women's competition was a 19—year—old girl from Dalian.4 of them were very modest (谦虚的)and they didn't think they were5 than the other singers. Jiang Mei the winner of the women's said studying English helped her win the prize and she would have to study hard.This kind of competition encourages people to6English. Many people agree that they make7by singing English songs and that it's a good idea to have fun with English.Maybe you have heard of The Chinese Speak English program8 If not,9 find out about it? It suggests lots of ways for us to take an10in learning English.Besides singing English songs, there are many other fun ways to learn English. If you look hard enough, you will find a good way to learn English better.（1）A . clearB . clearlyC . slowlyD . slow（2）A . AlthoughB . BecauseC . IfD . But（3）A . 40 year oldB . 40 years oldC . 40—years—oldD . 40—year—old（4）A . BothB . AllC . NeitherD . None（5）A . moreB . betterC . worseD . less（6）A . singB . speakC . sayD . talk（7）A . mistakesB . a decisionC . progressD . a promise （8）A . beforeB . agoC . laterD . then（9）A . Why don'tB . Why not youC . Why don't youD . Why do you （10）A . introductionB . informationD . part三、阅读理解 (共3题；共28分)12. （12分）阅读下列短文,从每题所给的四个选项（A、 B 、C和D）中选出最佳选项。
2019-2020学年上海外国语大学秀洲外国语学校八年级(上)月考数学试卷(9月份)-解析版
2019-2020学年上海外国语大学秀洲外国语学校八年级（上）月考数学试卷（9月份）一、选择题（本大题共10小题，共30.0分）1.若长度分别为a，3，5的三条线段能组成一个三角形，则a的值可以是()A. 1B. 2C. 3D. 82.小华在电话中问小明：“已知一个三角形三边长分别是4，9，12，如何求这个三角形的面积？小明提示说：“可通过作最长边上的高来求解.”小华根据小明的提示作出的图形正确的是()A. B.C. D.3.已知如图，△ABC为直角三角形，∠C=90°，若沿图中虚线剪去∠C，则∠1+∠2等于()A. 315°B. 270°C. 180°D. 135°4.在△ABC中，已知∠A=3∠C=54°，则∠B的度数是()A. 90°B. 94°C. 98°D. 108°5.如图，BD，CE分别是△ABC的高线和角平分线，且相交与点O，若∠BCA=70°，则∠BOE的度数是()A. 60°B. 55°C. 50°D. 40°6.下列命题中真命题是()A. 若a2=b2，则a=bB. 4的平方根是±2C. 两个锐角之和一定是钝角D. 相等的两个角是对顶角7.如图，DE是△ABC的边AB的垂直平分线，D为垂足，DE交AC于点E，且AC=8，BC=5，则△BEC的周长是()A. 12B. 13C. 14D. 158.如图，小敏做了一个角平分仪ABCD，其中AB=AD，BC=DC.将仪器上的点A与∠PRQ的顶点R重合，调整AB和AD，使它们分别落在角的两边上，过点A，C画一条射线AE，AE就是∠PRQ的平分线．此角平分仪的画图原理是：根据仪器结构，可得△ABC≌△ADC，这样就有∠QAE=∠PAE.则说明这两个三角形全等的依据是()A. SASB. ASAC. AASD. SSS9.如图，已知∠ABC=∠DCB，添加以下条件，不能判定△ABC≌△DCB的是()A. ∠A=∠DB. ∠ACB=∠DBCC. AC=DBD. AB=DC10.如图，在△ABC中，BD、CE分别是∠ABC和∠ACB的平分线，AM⊥CE于P，交BC于M，AN⊥BD于Q，交BC于N，∠BAC=110°，AB=6，AC=5，MN=2，结论①AP=MP；②BC=9；③∠MAN=35°；④AM=AN.其中不正确的有()A. 4个B. 3个C. 2个D. 1个二、填空题（本大题共10小题，共30.0分）11.我们用如图的方法(斜钉上一块木条)来修理一条摇晃的凳子的数学原理是利用三角形的______．12.小明不慎将一块三角形的玻璃摔碎成如图所示的四块(即图中标有1、2、3、4的四块)，你认为将其中的哪一块带去，就能配一块与原来一样大小的三角形?应该带第__________块．13.把命题“对顶角相等”改写成“如果…那么…”的形式：______．14.如图，点B、E、C、F在一条直线上，AB//DE，AB=DE，BE=CF，AC=6，则DF=______．15.如图，△ABC≌△ADE，若∠C=35°，∠D=75°，∠DAC=25°，则∠BAD=______°.16.当三角形中一个内角α是另一个内角β的两倍时，我们称此三角形为“特征三角形”，其中α称为“特征角”.如果一个“特征三角形”的“特征角”为100°，那么这个“特征三角形”的最小内角的度数为______．17.如图所示，∠ACD是△BC的外角，∠A=45°，BE平分∠ABC，CE平分∠ACD，且BE、CE交于点E.∠E=______．18.如图，在△ABC中，∠C=90°，AC=BC，BD平分∠CBA交AC于点D，DE⊥AB于点E，且△DEA的周长为2019cm，则AB=______．19.如图，将△ABC纸片沿DE折叠，使点A落在点A′处，若∠A=33°，则∠1+∠2的度数是______．20.如图，D、E分别是△ABC边AB、BC上的点，AD=2BD，BE=CE，若S△ABC=18，设△ADF的面积为S1，△CEF的面积为S2，则S1−S2的值是______．三、解答题（本大题共6小题，共48.0分）21.如图，AD平分∠BAC，其中∠B=35°，∠ADC=82°，求∠BAC，∠C的度数．22.尺规作图：如图，在直线MN上求作一点P，使点P到∠AOB两边的距离相等(不要求写出作法，但要保留作图痕迹，写出结论)23.如图，AB=AD，AC=AE，∠BAE=∠DAC.求证：∠C=∠E．24.如图，△ABC中，AD是BC边上的高，AE是∠BAC的平分线，∠EAD=5°，∠B=50°，求∠C的度数．25.如图，CD是经过∠BCA顶点C的一条直线，且直线CD经过∠BCA的内部，点E，F在射线CD上，已知CA=CB且∠BEC=∠CFA=∠α．(1)如图1，若∠BCA=80°，∠α=90°，问EF=BE−AF，成立吗？说明理由．(2)将(1)中的已知条件改成∠BCA=∠β，∠α+∠β=180°(如图2)，问EF=BE−AF仍成立吗？说明理由．26.如图，在△ABC中，如果BD，CE分别是∠ABC，∠ACB的平分线且他们相交于点P，设∠A=n°．(1)求∠BPC的度数(用含n的代数式表示)，写出推理过程．(2)当∠BPC=125°时，∠A=______．(3)当n=60°时，EB=7，BC=12，DC的长为______．答案和解析1.【答案】C【解析】解：由三角形三边关系定理得：5−3<a<5+3，即2<a<8，即符合的只有3，故选：C．根据三角形三边关系定理得出5−3<a<5+3，求出即可．本题考查了三角形三边关系定理，能根据定理得出5−3<a<5+3是解此题的关键，注意：三角形的两边之和大于第三边，三角形的两边之差小于第三边．2.【答案】C【解析】解：∵42+92=97<122，∴三角形为钝角三角形，∴最长边上的高是过最长边所对的角的顶点，作对边的垂线，垂足在最长边上．故选：C．由三角形的三边为4，9，12，可知该三角形为钝角三角形，其最长边上的高在三角形内部，即过最长边所对的角的顶点，作对边的垂线，垂足在最长边上．本题考查了三角形高的画法．当三角形为锐角三角形时，三条高在三角形内部；当三角形是直角三角形时，两条高是三角形的直角边，一条高在三角形内部；当三角形为钝角三角形时，两条高在三角形外部，一条高在内部．3.【答案】B【解析】解：∵∠1、∠2是△CDE的外角，∴∠1=∠4+∠C，∠2=∠3+∠C，即∠1+∠2=2∠C+(∠3+∠4)，∵∠3+∠4=180°−∠C=90°，∴∠1+∠2=2×90°+90°=270°．故选：B．利用三角形内角与外角的关系：三角形的任一外角等于和它不相邻的两个内角之和解答．此题主要考查了三角形内角与外角的关系：三角形的任一外角等于和它不相邻的两个内角之和．4.【答案】D【解析】解：如图所示：∵∠A=3∠C=54°，∴∠C=18°，∴∠B的度数是：180°−∠A−∠C=108°．故选：D．根据题意得出∠C的度数，进而利用三角形内角和定理得出答案．此题主要考查了三角形内角和定理，得出∠C度数是解题关键．5.【答案】B【解析】解：∵BD⊥AC，∴∠BDC=90°，∵CE平分∠ACB，∠ACB=70°，∴∠DCO=35°，∴∠BOE=∠COD=90°−35°=55°，故选：B．根据角平分线的定义和三角形的内角和即可得到结论．本题考查了三角形的内角和，角平分线的定义，熟练掌握三角形的内角和是解题的关键．6.【答案】B【解析】解：A、若a2=b2，则a=b或a=−b，所以A选项错误；B、4的平方根是±2，所以B选项正确；C、两个锐角之和不一定是钝角，若30°与60°的和为直角；所以C选项错误；D、相等的两个角不一定为对顶角，所以D选项错误．故选：B．利用平方根的定义对A、B进行判断；利用反例对C进行判断；根据对顶角的定义对D 进行判断．本题考查了命题与定理：命题写成“如果…，那么…”的形式，这时，“如果”后面接的部分是题设，“那么”后面解的部分是结论．命题的“真”“假”是就命题的内容而言．任何一个命题非真即假．要说明一个命题的正确性，一般需要推理、论证，而判断一个命题是假命题，只需举出一个反例即可．7.【答案】B【解析】解：∵DE是△ABC的边AB的垂直平分线，∴AE=BE，∵AC=8，BC=5，∴△BEC的周长是：BE+EC+BC=AE+EC+BC=AC+BC=13．故选：B．直接利用线段垂直平分线的性质得出AE=BE，进而得出答案．此题主要考查了线段垂直平分线的性质，正确掌握线段垂直平分线的性质是解题关键．8.【答案】D【解析】【解答】本题考查了全等三角形的应用；这种设计，用SSS判断全等，再运用性质，是全等三角形判定及性质的综合运用，做题时要认真读题，充分理解题意．在△ADC和△ABC中，由于AC为公共边，AB=AD，BC=DC，利用SSS定理可判定△ADC≌△ABC，进而得到∠DAC=∠BAC，即∠QAE=∠PAE．【分析】解：在△ADC和△ABC中，{AD=AB DC=BC AC=AC，∴△ADC≌△ABC(SSS)，∴∠DAC=∠BAC，即∠QAE=∠PAE．故选：D．9.【答案】C【解析】解：A、∠A=∠D，∠ABC=∠DCB，BC=BC，符合AAS，即能推出△ABC≌△DCB，故本选项错误；B、∠ABC=∠DCB，BC=CB，∠ACB=∠DBC，符合ASA，即能推出△ABC≌△DCB，故本选项错误；C、∠ABC=∠DCB，AC=BD，BC=BC，不符合全等三角形的判定定理，即不能推出△ABC≌△DCB，故本选项正确；D、AB=DC，∠ABC=∠DCB，BC=BC，符合SAS，即能推出△ABC≌△DCB，故本选项错误；故选：C．全等三角形的判定方法有SAS，ASA，AAS，SSS，根据定理逐个判断即可．本题考查了全等三角形的判定，能正确根据全等三角形的判定定理进行推理是解此题的关键，注意：全等三角形的判定方法有SAS，ASA，AAS，SSS．10.【答案】D【解析】解：①∵CE平分∠ACE，∴∠ACP=∠MCP，∵AM⊥CE，∴∠APC=∠MPC=90°，∴∠CAM=∠CMA，∴AC=CM，∴AP=PM，①正确；②同理得：BN=AB=6，∵CM=AC=5，∴BC=BN+CM−MN=6+5−2=9，②正确；③∵∠BAC=∠MAC+∠BAN−∠MAN=110°，由①知：∠CMA=∠CAM，∠BNA=∠BAN，△AMN中，∠CMA+∠BNA=180°−∠MAN=∠BAN+∠MAC，∴180°−∠MAN−∠MAN=110°，∴∠MAN=35°，③正确；④当∠AMN=∠ANM时，AM=AN，∵AB=6≠AC=5∴∠ABC≠∠ACB，∴∠AMN≠∠ANM，则AM与AN不相等，④不正确；所以本题不正确的有④，故选：D．①根据三角形的内角和定理判定∠CAM=∠CMA，由等腰三角形的判定和三线合一的性质可得结论正确；②根据BN=AB=6，CM=AC=5，及线段的和与差可得BC的长；③根据三角形的内角和定理及角的和与差可得结论；④要想得到AM=AN，必有∠AMN=∠ANM，而AB≠AC，可知∠ABC≠∠ACB，从而得AM≠AN．本题考查了等腰三角形的判定与性质，熟知等腰三角形三线合一的性质是解答此题的关键．11.【答案】稳定性【解析】解：用如图的方法(斜钉上一块木条)来修理一条摇晃的凳子的数学原理是利用三角形的稳定性，故答案为：稳定性．当三角形三边的长度确定后，三角形的形状和大小就能唯一确定下来，故三角形具有稳定性，根据三角形具有稳定性回答即可．本题考查了三角形的稳定性，解题的关键是了解三角形具有稳定性，四边形不具有稳定性．12.【答案】2【解析】解：1、3、4块玻璃不同时具备包括一完整边在内的三个证明全等的要素，所以不能带它们去，只有第2块有完整的两角及夹边，符合ASA，满足题目要求的条件，是符合题意的．故答案为：2．本题应先假定选择哪块，再对应三角形全等判定的条件进行验证．本题主要考查三角形全等的判定，看这4块玻璃中哪个包含的条件符合某个判定．判定两个三角形全等的一般方法有：SSS、SAS、ASA、AAS、HL．13.【答案】如果两个角是对顶角，那么它们相等【解析】【分析】命题中的条件是两个角是对顶角，放在“如果”的后面，结论是这两个角相等，应放在“那么”的后面．本题主要考查了将原命题写成条件与结论的形式，“如果”后面是命题的条件，“那么”后面是条件的结论，解决本题的关键是找到相应的条件和结论，比较简单．【解答】解：题设为：对顶角，结论为：相等，故写成“如果…那么…”的形式是：如果两个角是对顶角，那么它们相等，故答案为：如果两个角是对顶角，那么它们相等．14.【答案】6【解析】证明：∵AB//DE，∴∠B=∠DEF∵BE=CF，∴BC=EF，在△ABC和△DEF中，{AB=DE∠B=∠DEF BC=EF，∴△ABC≌△DEF(SAS)，∴AC=DF=6．故答案是：6．根据题中条件由SAS可得△ABC≌△DEF，根据全等三角形的性质可得AC=DF=6．本题主要考查了全等三角形的判定及性质问题，应熟练掌握．全等三角形的判定是结合全等三角形的性质证明线段和角相等的重要工具．在判定三角形全等时，关键是选择恰当的判定条件．15.【答案】45【解析】解：∵△ABC≌△ADE，∠D=75°，∴∠D=∠B=75°，又∵∠C=35°，∴∠BAC=70°，又∵∠DAC=25°，∴∠BAD=45°，故答案为：45．依据全等三角形的对应角相等以及三角形内角和定理，即可得到∠BAD的度数．本题主要考查了全等三角形的性质，解题时注意：全等三角形的对应角相等．16.【答案】30°【解析】解：由题意得：α=2β，α=100°，则β=50°，180°−100°−50°=30°，故答案为：30°．根据已知一个内角α是另一个内角β的两倍得出β的度数，进而求出最小内角即可．此题主要考查了新定义以及三角形的内角和定理，根据已知得出β的度数是解题关键．17.【答案】22.5°【解析】解：∵∠ACD是△ABC的一个外角，∴∠ACD=∠A+∠ABC，∴∠A=∠ACD−∠ABC，∵∠A=45°，∴∠ACD−∠ABC=45°，∵BE平分∠ABC，CE平分∠ACD，∴∠ECD=12∠ACD，∠EBC=12∠ABC，∵∠ECD是△BCE的一个外角，∴∠ECD=∠EBC+∠E，∴∠E=∠ECD−∠EBC=12∠ACD−12∠ABC=22.5°．故答案为22.5°先根据外角定理和∠A=45°，得出∠ACD−∠ABC=45°，再利用角平分线的定义得：1 2∠ACD−12∠ABC=20°，即∠E=∠ECD−∠EBC=22.5°．本题考查了三角形的外角性质，同时要运用整体的思想，所以本题对初学几何的学生来说有难度，关键是从∠ACD这个外角看到∠ECD，根据等量代换解决此题．18.【答案】2019cm【解析】解：∵BD平分∠CBA，∴∠CBD=∠ABD，∵DE⊥AB，∴∠ACD=∠BED=90°，∵BD=BD，∴△BDC≌△BDE(AAS)，∴BC=BE，DE=DC，∵BC=AC，∴AC=BE，∵AD+AE+DE=AD+CD+AE=AC+AE=BE+AE=AB=2019(cm)，∴AB=2019(cm)，故答案为2019cm．证明△BDC≌△BDE(AAS)，再证明△ADE的周长=AB即可解决问题．本题考查角平分线的性质，等腰三角形的性质，全等三角形的判定和性质等知识，解题的关键是灵活运用所学知识解决问题，属于中考常考题型．19.【答案】66°【解析】解：连接AA′．∵∠1=∠EA′A+∠EAA′，∠2=∠DA′A+∠DAA′，∠BCA=∠EA′D，∴∠1+∠2=∠EA′A+∠EAA′+∠DA′A+∠DAA′=∠EAD+∠EA′D=2∠EAD=66°，故答案为66°．证明∠1+∠2=2∠A即可解决问题．本题考查翻折变换，三角形的外角的性质，三角形内角和定理等知识，解题的关键是熟练掌握基本知识，属于中考常考题型．20.【答案】3【解析】解：∵D、E分别是△ABC边AB、BC上的点，AD=2BD，BE=CE，S△ABC=18，∴S△ADC=12，S△AEC=9，∵S△ADC=S△ADF+S△AFC，S△AEC=S△CEF+S△AFC，∴S△ADC−S△AEC=S△ADF−S△CEF，∵S△ADC=12，S△AEC=9，∴S△ADC−S△AEC=3，∴S△ADF−S△CEF=3，∵△ADF的面积为S1，△CEF的面积为S2，∴S1−S2=3，故答案为：3．根据D、E分别是△ABC边AB、BC上的点，AD=2BD，BE=CE，S△ABC=18，可以得到S△ADC和S△AEC的面积，再根据图形，即可得到S1−S2的值．本题考查三角形的面积，解答本题的关键是明确题意，找出所求问题需要的条件，利用数形结合的思想解答．21.【答案】解：∵∠ADC=82°，∴∠ADB=180°−82°=98°，∴∠BAD=180°−∠B−∠ADB=180°−35°−98°=47°，∵AD平分∠BAC，∴∠BAC=2∠BAD=2×46°=94°，∴∠C=180°−35°−94°=51°．【解析】首先根据邻补角的知识求出∠ADB的度数，再根据三角形内角和定理求出∠BAD 的度数，又根据角平分线的知识求出∠BAC的度数，最后再次利用三角形内角和定理求出∠C的度数．本题主要考查了三角形内角和定理的知识，解题的关键是掌握三角形的内角和为180°，此题难度不大．22.【答案】解：如图所示，作∠AOB的平分线，∠AOB的平分线与直线MN交于一点，则点P即为所求．【解析】利用角平分线的作法作∠AOB的平分线，∠AOB的平分线与直线MN交于一点，这一点就是P点．此题主要考查了作角平分线，关键是掌握角平分线的性质：角的平分线上的点到角的两边的距离相等．23.【答案】证明：∵∠BAE=∠DAC，∴∠BAE+∠CAE=∠DAC+∠CAE，∴∠CAB=∠EAD，在△ABC和△ADE中，{AB=AD∠CAB=∠EAD AC=AE,∴△ABC≌△ADE(SAS)∴∠C=∠E．【解析】本题考查了全等三角形的判定和性质，证明∠CAB=∠EAD是本题的关键.由“SAS”可证△ABC≌△ADE，可得∠C=∠E．24.【答案】解：∵AD是BC边上的高，∠EAD=5°，∴∠AED=85°，∵∠B=50°，∴∠BAE=∠AED−∠B=85°−50°=35°，∵AE是∠BAC的角平分线，∴∠BAC=2∠BAE=70°，∴∠C=180°−∠B−∠BAC=180°−50°−70°=60°．【解析】根据直角三角形两锐角互余求出∠AED，再根据三角形的一个外角等于与它不相邻的两个内角的和求出∠BAE，然后根据角平分线的定义求出∠BAC，再利用三角形的内角和定理列式计算即可得解．本题考查了三角形的角平分线、中线和高，主要利用了直角三角形两锐角互余，三角形的一个外角等于与它不相邻的两个内角的和的性质，角平分线的定义，熟记各性质并准确识图是解题的关键．25.【答案】解：(1)EF=BE−AF成立，理由如下：∵∠BCA=80°(已知)，∴∠BCE+∠ACE=80°∵∠BEC=∠α=100°(已知)，∴∠BEF=180°−100°=80°(平角定义)．∴∠B+∠BCE=80°(三角形外角和定理)∴∠B=∠ACE(等量代换)．在△BCE和△CAF中，{∠B=∠ACF∠BEC=∠CFA CB=AC，∴△BCE≌△CAF(AAS)，∴BE=CF，AF=EC(全等三角形对应边相等)．∴EF=CF−CE=BE−AF(等量代换)．(2)EF=BE−AF成立，理由如下：∵∠BCA=∠β，∴∠BCE+∠ACE=∠β∵∠BEC=∠α=180°−∠β，∴∠BEF=180°−∠α=∠β．∴∠B+∠BCE=∠β．∴∠B=∠ACE在△BCE和△CAF中，{∠B=∠ACF∠BEC=∠CFA CB=AC，∴△BCE≌△CAF(AAS)．∴BE=CF，AF=EC，∴EF=CF−CE=BE−AF．【解析】(1)根据“AAS”可以证明△BCE≌△CAF，则BE=CF；(2)同理证明△BCE≌△CAF，则CE=AF，BE=CF，可得EF=CE−CF=BE−AF．本题主要考查了全等三角形的判定及其性质的应用问题；掌握全等三角形的判定及其性质是解题的关键．26.【答案】70° 5【解析】解：(1)∵DB、CE分别为∠ABC，∠ACB的平分线，∴∠ABC=2∠PBC，∠ACB=2∠PCB．∵∠A=180°−(∠ABC+∠ACB)，∴∠A=180°−2(∠PBC+∠PCB)，∴∠A=180°−2(180°−∠BPC)，∴∠A=−180°+2∠BPC，∴2∠BPC=180°+∠A，∴∠BPC=90°+12∠A，∴∠BPC=90°+12n；(2)∵DB、CE分别为∠ABC，∠ACB的平分线，∴∠ABC=2∠PBC，∠ACB=2∠PCB．∵∠A=180°−(∠ABC+∠ACB)，∴∠A=180°−2(∠PBC+∠PCB)，∴∠A=180°−2(180°−∠BPC)，∴∠A=−180°+2∠BPC，∴2∠BPC=180°+∠A，∴∠BPC=90°+12∠A，∴∠BPC=90°+12n=125°，∴n=70，∴∠A=70°；(3)在BC 上取点G 使得CG =CD ，∵∠BPC =180°−12(∠ABC +∠ACB)=180°−12(180°−60°)=120°， ∴∠BPE =∠CPD =60°，∵在△CPD 和△CPG 中，{CP =CP ∠DCP =∠GCP CD =CG，∴△CPD≌△CPG(SAS)，∴∠CPG =∠CPD =60°，∴∠BPG =120°−60°=60°=∠BPE ，∵在△BPE 和△BPG 中，{∠BPG =∠BPE BP =BP ∠EBP =∠GBP，∴△BPE≌△BPG(ASA)，∴BE =BG ，∴BE +CD =BG +CG =BC ，∵EB =7，BC =12，∴CD =BC −BE =12−7=5．故答案为：70°，5．(1)根据角平分线的定义得到∠ABC =2∠PBC ，∠ACB =2∠PCB.根据三角形的内角和得到结论；(2)根据角平分线的定义得到∠ABC =2∠PBC ，∠ACB =2∠PCB.根据三角形的内角和得到结论；(3)在CB 上取点G 使得CG =CD ，可证△BFE≌△BFG ，得BE═BG ，可证△CDF≌△CGF ，得CD =CG ，可以求得BE +CD =BC ．本题考查了三角形的内角和，全等三角形的判定，考查了全等三角形对应角、对应边相等的性质，本题中求证CD =CG 和BE =BG 是解题的关键．。
沪教版2019-2020学年八年级上学期英语第一次月考试卷 A卷
沪教版2019-2020学年八年级上学期英语第一次月考试卷 A卷一、单选题（共10 小题, 每小题1分, 共10分） (共10题；共10分)1. （1分）How __________ oranges are there in your bag?A . manyB . muchC . lots of2. （1分）Miss Wang teaches _______ Maths.A . usB . ourC . weD . ours3. （1分）——Would you mind ____ here?——Sorry, I won't.A . smokeB . smokingC . smokesD . not smoking4. （1分）—I do feel a little about making a speech.—Take it easy. The more you prepare, the better you will feel.A . angryB . disappointedC . nervousD . bored5. （1分）Linda and her mother are talking ________.A . on phoneB . by the phoneC . on the phoneD . in phone6. （1分）— Four dollars a pair? I think it's a bit too much.— If you buy three pairs, the price for each will _______ to three fifty.A . come downB . take downC . turn downD . break down7. （1分）The world's population is growing _________, and there is _________ land and water for growing rice.A . larger; lessB . larger; fewerC . more; lessD . more; fewer8. （1分）—Do you know the way to Kingkey 100?—There's a(n) _______ map in my car. It even can tell us which way is less crowded.A . oldB . electronicC . paper9. （1分）After the vacation, I'm _________ heavier than before.A . a fewB . a littleC . moreD . very10. （1分）— Perhaps we can go to the home for the elderly to do some voluntary work.— ______ We should give the elderly a warm hand as often as possible.A . I can't agree more.B . Do you think so?C . Are you serious?D . You must be joking!二、完型填空（共10 小题, 每小题1分, 共10分） (共1题；共10分)11. （10分）先通读下面的短文，掌握其大意，然后从A、B、C、D四个选项中选择可以填入空白处的最佳答案．I'm Maggie．When l was a teenager(青少年)，I wanted to leave school and have my own life．The only1I could think of doing this was to work in the brick(砖)factory in my town．I was very2when I told my father my idea．I thought he would say,"No!You are going to college．"But he3said．"OK．Let's go to the brick factory．"Two days later,he took4to the factory．I had a romantic(浪漫主义的)idea of working in a factory．I imagined everyone to be friends working together and having fun．I5imagined that there would be music and singing．I guess I had watched too many movies as a teenager．When we6the factory gate,my father spoke to the guard(警卫)and one minute later we were inside．My father said．"Take your time．Have a close look before you decide to work here．"I walked7the factory,looking at the buildings and workers and listening to the noise．Later,I ran back to my father and said，"I want to go home．"He asked why,looking into my eyes."It's8here."I answered.I went back to school the next day.From then on ,I began to9very hard.I got into a good college.After I left college,I 10a good job at a big company.Thanks to my father and our trip to the brick factory,I'm now living a really happy life!（1）A . dreamB . wayC . symbolD . message（2）A . funnyB . excitedC . nervousD . bored（3）A . stillB . everC . justD . also（4）A . usB . meC . ourselvesD . myself （5）A . evenB . soonC . neverD . yet（6）A . looked atB . climbed upC . picked upD . arrived at （7）A . offB . fromC . aroundD . behind （8）A . importantB . strangeC . interestingD . terrible （9）A . studyB . playC . cryD . run（10）A . offeredB . foundC . missedD . changed三、阅读理解（共20小题, 19-20每小题1分, 21-22每 (共4题；共30分)12. （5分）阅读理解Last Sunday, we asked some young people what exercise they did, and here are their answers.Jack: I'm afraid I am very lazy. The only sport I do is to play football once a month and do some swimming, but only in summer. Every day, I am busy in studying.Ted: About once a week, I go running. I run about 5 kilometers. In winter, I go skiing(滑雪) when I have time. But every morning, I just do some easy exercise.David: I often do some sports at school or outside school. My mum makes me go swimming because I am kind of unhealthy. I began to do gymnastics(体操) 6 years ago. Costing over 600 pounds a year is very expensive for me. And I began to swim 8 years ago. Now I want to stop them because I have much homework. But I am afraid that I will be fat if I stop all the sports.（1）Ted does the following exercise but ___________.A . swimming.B . some running.C . skiing.（2）Jack swims ____________.A . every monthB . in summerC . twice a day（3）David exercises____________.A . at schoolB . in a gymC . inside and outside school（4）If people stop exercise, maybe they will____________.A . eat moreB . not often feel wellC . get fat（5）What is the main idea about the article?A . Homework is more important than exercise.B . It is a survey(调查) about students' exercise.C . Some of the students don't like to exercise.13. （5分）阅读理解Everyone has two personalities（性格）-- one is showed to the world and the other is secret and real. You don't show your secret personality when you're awake because you can control(控制) yourself，but when you're asleep， your sleeping position shows the real you. And the important position that best shows your secret personality is when you go to sleep.If you go to sleep on your back， you're a very open person. You usually believe people and you are easily influenced(影响) by new ideas. You don't like to make people unhappy， so you never show your real feelings. You're quite shy and you aren't very confident(自信的).If you sleep on your stomach， you are a person who likes to keep secrets. You worry a lot and you're always easy to be sad. You never want to change your ideas， and you are pleased with your life. You usually live for today not for tomorrow.If you sleep on curled up（蜷缩），you are probably a very nervous person. You have a low opinion of yourself and often don't want to be hurt， so you are very defensive(有戒心的). You're shy and you don't like meeting people. You like to be alone.If you sleep on your side， you usually have a well-balanced（平衡的）personality. You know your strengths and weaknesses. You're usually careful. You have a confident personality. You sometimes feel worried， but you don't often get unhappy. You always say out what you think， even if it sometimes makes people angry.（1）You may find the passage in .A . a science magazineB . a comic bookC . a sports newspaperD . a story book（2）What does the word “position” mea n in the passage?A . 品格B . 欲望C . 现象D . 姿势（3）When does the sleeping position best show your secret personality?A . In the daytime.B . After waking up.C . During the sleep.D . Before going to sleep.（4）Tina hardly ever tells her secrets to her friends. She probably goes to sleep .A . on curled upB . on her stomachC . on her backD . on her side（5）What does the passage tell us?A . Sleeping on your side is the best way of sleeping.B . We have sleeping problems because of sleeping positions.C . Sleeping positions show people's secret personalities.D . A well-balanced personality is very important.14. （10分）根据材料内容，选择最佳答案。
上海版2019-2020学年八年级上学期英语第一次月考试卷(II )卷
上海版2019-2020学年八年级上学期英语第一次月考试卷（II ）卷一、单选题 (共20题；共40分)1. （2分）Jackie Chan and Jet Li have much ________. And they often play similar roles in the movies.A . in generalB . in styleC . in commonD . in shape2. （2分）Mr Wang is a presenter and he has many chances to with famous people．A . take messagesB . do interviewsC . make a choiceD . have a journey3. （2分）-- Could you help me put up the maps on the wall?A . No problemB . I hope soC . That's all rightD . That's a good idea4. （2分）Last weekend, an English short play was _____ in the third hall.A . put inB . put downC . put onD . put up5. （2分）—Now the air in our city is even ________ than before.—So we must do something to stop it.A . noisierB . betterC . worse6. （2分）Every time when we are in the soup, our parents always try their best to help us.A . are happyB . are excitedC . are in troubleD . are serious7. （2分）— The plan most of your suggestions.— Really?A . isB . hasC . includesD . including8. （2分）The boy is new here, so _______ students know him.A . manyB . someC . fewD . a few9. （2分）-Would you like to go to the concert with us tonight?-I'd love to, __________ I can't. I have a lot of homework to do.A . andB . butC . soD . or10. （2分）— Was his father very strict with him when he was at school?— Yes. He never praised him ________ he became one of the top students in his grade.A . afterB . unlessC . ifD . when11. （2分）—Yesterday I bought two tickets ____ the movie Avatar on my way ________home. It'll be on tomorrow. Will you go with me?—Certainly.B . /; toC . /; /D . to；/12. （2分）What's that English?A . inB . atC . of13. （2分）Of all the teachers, Miss Gao is________, and we are afraid of her.A . seriousB . more seriousC . most seriousD . the most serious,14. （2分）—Which way do you prefer, reading online or reading on paper?— SometimesI read online, sometimes I read on paper.A . BothB . NoneC . EitherD . Neither15. （2分）---How’s the weather?---It’s _____________. You have to wear sunglasses an d cool clothes.A . windyB . cloudyC . sunnyD . raining16. （2分）Her book is the same _____ mine, but it's different _______ yours.A . as; asB . from; fromC . as; from17. （2分）They are new students and _____ of them _____ a new schoolbag.A . each; haveB . each; hasC . every; hasD . every; have18. （2分）— Is your stomachache getting _______?— No, it's worse.A . betterB . badC . lessD . well19. （2分）— How do you like our new teacher Ms. Lee ? She's so funny .— Yeah , but I think she is not __________ our English teacher .A . so funny asB . as funnier asC . so funny thanD . so funnier than20. （2分）Suzhou is very famous ______ the Chinese-style gardens.A . forB . asC . inD . by二、完形填空 (共2题；共25分)21. （10分）从A、B、C、D四个选项中选出能填入空白处的最佳答案。
上海版2019-2020学年八年级上学期英语第一次月考试卷 (II )卷
上海版2019-2020学年八年级上学期英语第一次月考试卷（II ）卷一、单选题（共10 小题, 每小题1分, 共10分） (共10题；共10分)1. （1分）My son gets travelling to Shanghai during the summer holiday.A . excitingB . excitedC . excited aboutD . exciting about2. （1分）Mr. Wu is good ____ math. He teaches _____ math well.A . for; ourB . at; ourC . with ;ourD . at ;us3. （1分）Who are you waiting the bus stop?A . forB . atC . at forD . for at4. （1分）— Playing video games is a waste of time.— I can't agree more. There are meaningful things to do.A . the mostB . the leastC . moreD . less5. （1分）Yao Ming is famous ____ a basketball player.A . forB . withC . asD . to6. （1分）I want to introduce my best friend to you.A . fail toB . would like toC . can't7. （1分）Sandy is ____ at playing soccer than Simon.A . betterB . goodC . wellD . best8. （1分）— What else would you like to eat?— ______ I'm full. Thanks.A . Nothing else.B . Else nothing.C . Something else.D . Else something.9. （1分）一 What's wrong with my eyes, doctor?一 I'm afraid you have to wear glasses to help see things ______.A . sadlyB . luckilyC . clearly10. （1分）当别人帮助了你, 你应该说“____”。
上海版2019-2020学年八年级上学期英语第一次月考试卷A卷
上海版2019-2020学年八年级上学期英语第一次月考试卷A卷一、单项选择 (共15题；共30分)1. （2分）Simon looks worried because he _______ a writing competition and now he's waiting for the result.A . entersB . enteredC . will enterD . is entering2. （2分）This TV program is the of all. I can't really stand it.A . worstB . bestC . mostD . least3. （2分）You ________________ study hard if you want to get good grades.A . are supposeB . are supposedC . are supposed toD . suppose4. （2分）——_______is it the Qmolongma? ——It's 8,848 meters. It's very hard to climb the mountain.A . How deepB . How longC . How farD . How high5. （2分）__________ it was getting darker, they were still playing tennis on the playground.A . BecauseB . SinceC . IfD . Although6. （2分）—Bob, you look blue. Don't make any decision, __________ when you're in a bad mood.—OK, I won't. Thanks.A . exactlyB . probablyC . especiallyD . generally7. （2分）Today there are two new students in our class. I don't know ______ of them.A . eitherB . norC . neitherD . both8. （2分）I hope you __________our English party.A . to enjoyB . enjoyingC . can enjoyD . enjoys9. （2分）Eating ____ vegetables and _____ meat is good for the old.A . less, lessB . less, moreC . more, moreD . more, less10. （2分）The cake is too expensive. Would you please show a ________one?A . cheapB . cheaperC . cheapestD . more cheap11. （2分）The rich man __________ much food________ the poor families during the hard time.A . provides, toB . provide, withC . provided, withD . provided, for12. （2分）He devoted as much time as he could __________ on the plan.A . workingB . to workC . workedD . to working13. （2分）Children，don't speak so ________.Your grandpa is sleeping.A . quicklyB . quietlyC . loudlyD . truly14. （2分）— What's the matter with Lily?— She has ________________.A . won the first prizeB . lost her best watchC . found a good jobD . moved into a new flat15. （2分）Frank plays football very _______. He is a ________ football player.A . well; goodB . good; wellC . well; wellD . good; good二、完形填空 (共1题；共10分)16. （10分）完形填空A poor farmer had a friend who was famous for the wonderful apples he grew. One day， his friend gave him a young apple tree and told him to take it home and 1 it.Seeing the gift， the farmer was very happy， and he thought he would also have a lot of wonderful apples， but when he got home， he felt 2 . He did not know where to plant it. He thought over and over and considered every place he could think of. 3 ， he decided to plant the tree in his woods. Therewere many high trees with thick leaves in the woods. With those trees around ，no one else could see the young apple tree. He even felt proud of himself for finding so secret a place for the apple tree. Every day he went to take care of the tree， watering it. To his surprise and 4 ， the apple tree didn't grow as well as he expected. It died without sunlight and good soil.Later the friend asked the farmer why he had planted the tree in such a 5place. "What's the difference?" the farmer said angrily. "If I had planted the tree near the6 ， passers-by(行人) would have stolen the fruit. If I had planted the tree in one of my fields， my neighbors would have come at night and 7 some of the apples! If I had planted it near my house， my own children would have taken the fruits. No matter where I plant the tree， I can't have8 to enjoy the apples： So there is no difference where I planted it.""Yes，" said the friend. "But sooner or later someone could have enjoyed the fruit. Now you not only have robbed(抢夺) everyone of the fruit， but also have 9 a good apple tree! You don't know the true meaning of 'share'!"We should learn to 10in our life. The more you want to own something all by yourself， the less you get at last.（1）A . studyB . keepC . plantD . develop（2）A . interestedB . worriedC . boredD . tired（3）A . FinallyB . GenerallyC . SuddenlyD . Recently（4）A . pleasureB . excitementC . disappointmentD . disagreement （5）A . poorB . greatC . suitableD . comfortable （6）A . parkB . riverC . hillD . road（7）A . borrowedB . stolenC . chosenD . collected （8）A . rightsB . hopesC . chancesD . interests （9）A . destroyedB . thrownC . pulledD . won（10）A . waitB . shareC . compareD . apologize三、阅读理解 (共2题；共14分)17. （4分）阅读理解*metallic 像金属的（1）Look at the calendar. It's October 6th today. You broke a clay cup this morning. When will they collect the broken cup?A . On October 3rd.B . On October 10th.C . On October 17th.D . On October 24th.（2）Which of the following things can be collected to burn?A . Dinner food.B . Fish cans.C . Plastic plates.D . Milk bottles.18. （10分）根据短文内容，选择正确答案。
上海版2019-2020学年八年级上学期英语第一次月考试卷(II )卷
上海版2019-2020学年八年级上学期英语第一次月考试卷（II ）卷一、单项选择 (共15题；共30分)1. （2分）Where your parents a moment ago?A . wasB . wereC . isD . are2. （2分）—Why don't you like geography?—Because it's _______.A . interestingB . excitingC . funnyD . boring3. （2分）David said that the glass was broken and warned me __________ it.A . don't touchB . to not touchC . not to touchD . no touching4. （2分）—What kind of noodles would you like, small, medium or large?—_______. I'd like noodles _______ eggs and tomatoes.A . Yes, please; withB . No, thanks; onC . Medium, please; withD . No, I don't; from5. （2分）_______ you do, I won't be angry with you because I love you so much.A . WhereverB . WheneverC . WhoeverD . Whatever6. （2分）—How is this kind of mooncake?—It tastes ____ and sells ____.A . good, goodB . well, wellC . good, well7. （2分）Would you like to sit between _______？A . you and heB . you and himC . me and himD . him and me8. （2分）It's true that every student looks forward __________ a good future.A . to haveB . to havingC . havingD . have9. （2分）My ____ brother is three years ____ than I.A . elder; elderB . older; olderC . elder; olderD . older; elder10. （2分）I'm surprised that John is only 25. I thought he was ________ for he seems to be in his thirties.A . oldB . olderC . youngD . younger11. （2分）—He's never been late for school.—________________.A . So have IB . So am IC . Neither have ID . Nor am I12. （2分）There is no bridge the river, so we the river by boat.A . cross; crossB . cross; acrossC . across; crossD . across; across13. （2分）I don't think teenagers should be allowed to do homework in groups, because they are .A . not enough quietB . not quiet enoughC . enough not quiet14. （2分）— ________?— He wants to join the swimming club.A . What can he doB . Where can he swimC . What does he likeD . What club does he want to join15. （2分）The newborn baby should be looked after as ________________ as possible.A . carefullyB . carefulC . carelessD . carelessly二、完形填空 (共1题；共15分)16. （15分）When I was about 12 years old， I really wanted a new bike！ I 1 my parents my birthday wish，but I knew there was little hope because my family could 2 have that money.On my birthday my parents told me they had my 3 outside in the back yard. At once I 4 out to the yard. There was my bike， 5 it wasn’t the bike that I thought it would be. This one was pink， old and worn with age. It was so 6！I thought I 7 my parents’ feelings because I could see the disappointmen t8 their faces and I was sure they could see it on mine. I 9 the old bike and rode it， feeling 10 thatI had made my parents feel this way. So I put on a smile，rode as fast as I could and didn’t 11.As time went by， I began to understand my parents gave me 12 much more than just a rusty（生锈的）old bike. They gave me a life lesson about 13. When you give something out of love，it doesn’t matter what it is in fact. What matters is the love that is in it. I like to remember this 14 because giving a gift is not about money. It’s about how much love you can feel from it. Do remember， a gift that 15 two dollars isn’t any less valuable（有价值的）than one that costs one hundred dollars， or even more.（1）A . talkedB . spokeC . saidD . told（2）A . hardlyB . quicklyC . slowlyD . easily（3）A . guitarB . giftC . cakeD . card（4）A . rushedB . rodeC . climbedD . came（5）A . andB . orC . butD . because（6）A . excitingB . interestingC . relaxingD . disappointing （7）A . likedB . hatedC . hurtD . thanked（8）A . onB . inC . atD . for（9）A . got inB . got onC . got offD . got up（10）A . surprisedB . excitedC . happyD . bad（11）A . look aheadB . look backC . come upD . come down（12）A . anythingB . nothingC . somethingD . everything（13）A . loveB . moneyC . friendshipD . knowledge（14）A . ideaB . newsC . adviceD . story（15）A . spendsB . costsC . paysD . offers三、阅读理解 (共2题；共20分)17. （10分）Welcome to our school. You can do a lot of things here. Come and join us.A . SundayB . MondayC . Wednesday（2）The person who teaches Computer Science is from___________.A . CanadaB . AustraliaC . America（3）You may learn something about a disease called TB from __________.A . Dr. WestB . Mr. MorisonC . Mrs. Green（4）If you want to learn something about satellites(人造卫星), you can go to the class from______.A . 8:30 to 11:30 on SundayB . 19:00 to 21:00 on MondayC . 19:30 to 21:00 on Wednesday（5）When you want to learn computer, you can ask for help.A . Dr. WestB . Mr. MorisonC . Dr. Lucy18. （10分）阅读理解Mary is an English girl, but she lives(居住) in China. She is six. Her mother say s to her, “You are six now, Mary, you are going to school. I think it is very good. It's a nice school.”“Is it a Chinese school?” Mary asks.“Yes, it is.” Her mother says.It is September and the new school year begins. Mary goes to school every day. She likes her lessons and her classmates(同学)very much. Her classmates like her, too. She always gets good grades(成绩) in math, so she often helps her friends with math. Mary thinks Chinese is too difficult, so she can't speak Chinese very well. But she likes the people of China and Chinese food very much.根据短文内容，判断下列句子的正误。
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22． 4
3x 3y 4
x2
7
xy ． 2x2 y
23． 2 ab3 ( 3 a3b ) 3 a (b 0) ．
b
2
b
24．化简： (4b a 2 ab3 ) (3a b 9ab)
bb
a
四、简答题
25．先化简，再求值： ( ab ab ) a ab
ab ab
a
，其中
a
3 2
2 ，b52 6 ． 3
【解答】解：原式
6(4 10)
3( 10 7)
4( 7 3)
(4 10) (4 10) ( 10 7) ( 10 7) ( 7 3) ( 7 3)
4 10 ( 10 7) ( 7 3)
4 10 10 7 7 3
7．
22． 4
3x 3y 4
x2
12． x ， y 分别为 8 11 的整数部分和小数部分，求 2xy y2 的值．
【解答】解：由题意可知： x 4 ，
y 8 11 4 4 11 ，
2xy y2 y(2x y) (4 11)(8 4 11) 5
13．若最简根式 2a 2b 5 与 a1 3b 4 是同类根式，则 ab 3 3 ． 【解答】解：最简根式 2a 2b 5 与 a1 3b 4 是同类根式，
7
xy ． 2x2 y
【解答】解： 4
3x 3y 4
x2
7
xy 2x2 y
4 4 7
3x 3y x y
x2
2x2 y
4 7 4
3(x y) 2x2 y
x2
x y
7 6 y ．
23． 2 ab3 ( 3 a3b ) 3 a (b 0) ．
b
2
b
【解答】解：原式 2(b) b
【解答】解：原式 2 3 3 2 2 3 7 3 7 2 ． 2 33 2
20． (1 3 2 2)( 8 1 3) ．
2
2
【解答】解：原式 (1 3 2 2)(2 2 1 3)
2
2
(2 2)2 (1 3)2 2
8 3 4
71． 4
21． 6 3 4 ． 4 10 10 7 7 3
)
50 27
A．1 个
B．2 个
C．3 个
D．4 个
3．实数 a 、 b 在数轴上对应的位置如图，则 (b 1)2 (a 1)2 ( )
A． b a
B． 2 a b
C． a b
4．若 a 为实数，则下列式子中正确的个数为 ( )
D． 2 a b
（1） (a b)2 a b ；（2） 3 a3 a2 ；（3） a2 | a | ；（4） a6 a3 ；（5） a2 a
A．1
B．2
C．3
D．4
【解答】解：（1）当 a b 0 时， (a b)2 | a b | a b ，不符合题意；
（2） 3 a3 a ， a2 | a | ，不符合题意； （3） a2 | a | ，符合题意；
（4） a6 | a3 | ，不符合题意；
（5） a2 | a | a ，符合题意，
16． (2 x)2 ( x 2)2 2x 4 ．
【解答】解：由题可得， x 2 0 ， 2 x0 ，
(2 x)2 ( x 2)2 | 2 x | x 2 x 2 x 2 2x 4 ，
故答案为： 2x 4 ．
17．已知 y 2 2x 1 3 1 2x 1 ，则 xy 6 ．
原式 x xy y xy xy x2 y2 xy (x y)2 2xy 1 16 2 14 ．
2b 5 3b 4 ， a 1 2 ， 解得： b 9 ， a 3 ， 所以 ab 27 3 3 ，
故答案为： 3 3 ．
14．若 0 x y 时，化简 ( y x)
a3 x2 y2
a a(x2 y2) x y
．
【解答】解： 0 x y ，
x2 y2 0 ，
A．1
B．2
C．3
5．已知 a 1 ， b 3 2 ，则 a 与 b 的关系是 (
)
32
A． a b
B． a b
C． a 1 b
6．如果
x 1 x2
x 1 ，那么 x 的取值范围是 ( x2
)
A．1x2
B．1 x2
C． x 2
二、填空（每题 3 分，共 36 分）
D．4 D． ab 1 D． x 2
a ab 6b 0 ，
( a 3 b)( a 2 b) 0 ，
a 3 b （舍去）或 a 2 b ，
a 4b ， 原式 2 16b2 3 4b2 4b2
316b2 5 4b2 b2 40 ，
27 故答案为： 40
27
三、计算或化简（每题 4 分，共 24 分）
19．计算： 12 18 0.5 1 ． 3
【解答】解：原式 [( 3 2) ( 3 2)]2019 ( 3 2)
2 3 ．
故答案为： 2 3 ．
11．当 x
1且 x 2
时， x 1 在实数范围内有意义． | x | 2
【解答】解：由题意得， x 1 0 ， | x | 2 0 ， 解得， x 1且 x 2 ， 故答案为： 1且 x 2 ．
3
6
【解答】解：由题意得， 2x 1 0 ，1 2x 0 ，
解得， x 1 ， 2
y 1 ， 3
则 xy 6 ， 6
故答案为： 6 ． 6
18．已知
a(
a 2 b)
b(
a 6
b )(ab
0)
，则
2a2 3ab 4b2 3a2 5ab b2
40 ． 27
【解答】解：由题意可知： a 2 ab ab 6b ，
故选： B ．
5．已知 a 1 ， b 3 2 ，则 a 与 b 的关系是 (
)
32
A． a b
B． a b
C． a 1 b
D． ab 1
【解答】解： a 1 ( 3 2) 2 3 ， b 3 2 (2 3) ， 3 2 ( 3 2)( 3 2)
a b ． 故选： B ．
)
50 27
A．1 个
B．2 个
C．3 个
D．4 个
【解答】解： 75 5 3 、 1 2 、 1 3 ， 50 10 27 9
在这一组数中与 3 是同类二次根式两个，即 75 、 1 ． 27
故选： B ．
3．实数 a 、 b 在数轴上对应的位置如图，则 (b 1)2 (a 1)2 ( )
2 5 3 7
2 5 ， 7
故答案为： 3 2 5 ． 7
9．如果 a 6 a 5 0 ，那么 a 6 ．
【解答】解： a 6 a 5 0 ， a 6 0 ， a 5 0 时， a 6 0 无意义， 解得： a 6 ． 故答案为：6． 10．计算： ( 3 2)2019 ( 3 2)2020 2 3 ．
a
，其中
a
3 2
2 ，b52 6 ． 3
【解答】解：原式 ab(a ab) ab a b
a ab
ab a
a ab ( a b )( a b ) a( a b) a( a b)
1， 当 a 3 2 ， b 5 2 6 时，原式 1．
2 3
五、解答题 26．解不等式
6．如果
x 1 x2
x 1 ，那么 x 的取值范围是 ( x2
)
A．1x2
B．1 x2
C． x 2
【解答】解：由题意可得， x 1 0 且 x 2 0 ，
解得 x 2 ．
故选： D ．
二、填空（每题 3 分，共 36 分）
D． x 2
7．比较大小： 6 5 22 ．
【解答】解： ( 6 5)2 11 2 30
18．已知
a(
a 2 b)
b(
a 6
b )(ab
0)
，则
2a2 3ab 4b2 3a2 5ab b2
．
三、计算或化简（每题 4 分，共 24 分）
19．计算： 12 18 0.5 1 ． 3
20． (1 3 2 2)( 8 1 3) ．
2
2
21． 6 3 4 ． 4 10 10 7 7 3
( 22)2 22 11 2 30 11 2 5.5 22 ， ( 6 5)2 ( 22)2 ，
6 5 22 ．
故答案为： ． 8． 3 2 5 的负倒数为 3 2 5 ．
7
【解答】解： 3
2 5 的负倒数为 3
1 2 5 (3
3 2 5
3
2 5)(3 2 5)
ab(3 a 2
ab) 3
ab b
3a2b 3 ab b
ab ab ．
24．化简： (4b a 2 ab3 ) (3a b 9ab)
bb
a
【解答】解：原式 4 ab 2 ab 3 ab 3 ab
6 ab ．
四、解答题
25．先化简，再求值： ( ab ab ) a ab
ab ab
2019-2020 学年上海外国语大学附属浦东外国语学校八年级（上）
第一次月考数学试卷
一、选择题（每题 3 分，共 18 分）
1．下列二次根式中，是最简二次根式的个数是 ( )
11x, x2 10x 25, m2 n2 , x y , 169a x
A．4
B．3
C．2
D．1
2．在根式 2 、 75 、 1 、 1 、 15 中与 3 是同类二次根式的有 (
五、解答题 26．解不等式
3 x 1 2 2 x ．
2
3
六、解答题