深国交入学G1考试模拟试题五

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深国交G1入学考试英语模拟试题D

一、单项词汇与语法知识（）1. Take my ____, young man, and don’t drive so fast.A. noticeB. expressionC. adviceD. experience （）2. The lady was standing by the heater when her nightdress _____fire.A. catchB. caughtC. would catchD. had caught （）3. The toys are all so pretty. I don’t know _____ one to choose.A. thatB. whatC. whichD. whose （）4. Bruce is a nice person. He _____ lend you the money, I believe.A. mustB. mightC. shouldD. would（）5. I don’t think I can ______ another night without sleep.A. carryB. keepC. standD. support（）6. _____ knows the fact should report it to the police.A. AnyoneB. No matter whoC. SomeoneD. Whoever （）7. ______ with our small flat, Bill’s house looks like a palace.A. ComparedB. ComparingC. CompareD. To compare（）8. The secretary won’t tell you when her boss ____ back from abroad.A. is comingB. has comeC. will comeD. would come （）9. After a heated bargain, they finally agreed _____ the price for the used car.A. forB. onC. overD. with（）10. I looked around for a place _____ I could buy some chocolate, but everywhere was closed.A. andB. thereC. whenD. where （）11.It’s so hot today. Would you ________ some ice tea?A. care forB. care ofC. care aboutD. care to （）12. The old man went to the information center soon after his arrival as the city ______ so much.A. is changingB. changesC. had changedD. has changed （）13. All books are________ to the library before Friday.A. returnedB. to be returnedC. to have returnedD. to return（）14. Jackie could sing and play the piano, while I could do ______.A. anyB. bothC. eitherD. neither （）15. I won’t be able to attend the meeting _____I’ll be on holiday with my family.A. ifB. sinceC. thoughD. while二词形转换1,。

【深圳名师】深国交中考自主招生2021-2021G1入学考试数学模拟试题无答案

H G CD E A 2021-2021年深圳国际交流学院入学考试G1数学模拟试题〔时间：70分钟总分值：100分〕姓名：_____ 分数：______一．选做题〔共10小题，每题3分，共30分〕1．假设a ≤1，那么化简后为〔〕. 〔A 〕〔B 〕〔C 〕〔D 〕2．阳光中学阅览室在装修过程中，准备用边长相等的正方形和正三角形两种地砖镶嵌地面，在每个顶点的周围正方形、正三角形地砖的块数可以分别是A 、2，2B 、2，3C 、1，2D 、2，13．A 、B 两地相距4千米。

上午8:00，甲从A 地出发步行到B 的，8:20乙从B 地出发骑自行车到A地，甲乙两人离A 地的间隔〔千米〕与甲所用的时间(分)之间的关系如下图。

由图中的信息可知，乙到达A 地的时间为A 、8:30B 、8:35C 、8:40D 、8:454．如图，在正方形ABCD 的外侧，以AD 为斜边作等腰直角△ADE ，BE 、CE 分别交AD 于点G 、H ，假设△GHE 的面积为2，那么△CDH 的面积为〔〕A 、2；B 、22；C 、32；D 、4； 5．抛物线y =ax 2+bx +c (a ＞0)的对称轴为直线x =－1，与x 0)，且0＜x 1＜1，以下结论：①9a －3b ＋c ＞0；②b ＜a ；③3a 其中正确结论的个数是A 、0B 、1C 、3D 、36．如图，O 是四边形ABCD 内一点，OA OB OC ==，70ABC ADC ∠=∠=°，那么DAO DCO ∠+∠的大小是〔〕 A ．70° B ．110° C ．140° D ．150°7．如图，点A 是一次函数y =x 的图象与反比例函数xy 2=的图象在第一象限内的交点，点B 在x 轴的负半轴上，且OA =OB ，那么△AOB 的面积为A 、2B 、22C 、2D 、22 8．如图，在矩形ABCD 中，对角线AC 、BD 相交于点G ，E 为AD 的中点，连接BE 交AC 于点F ，连接FD ，假设∠BFA =90°，那么以下四对三角形：①△BEA 与△ACD ；②△FED 与△DEB ；③△CFD 与△ABC ；④△ADF 与△CFB 。

深国交考试试题

深国交考试试题一、选择题（每题2分，共20分）1. 下列哪项不是深国交的核心价值观？A. 创新B. 合作C. 竞争D. 尊重2. 深国交的教育理念中强调的是：A. 应试教育B. 全面发展C. 单一技能培养D. 短期成绩提升3. 深国交考试中，以下哪项不属于考试范围？A. 数学B. 英语C. 体育D. 科学4. 深国交对学生的评估方式主要是：A. 单一笔试B. 笔试与面试相结合C. 家长评价D. 同学互评5. 下列哪项不是深国交提倡的学习方式？A. 独立学习B. 小组讨论C. 死记硬背D. 项目研究6. 深国交考试的总分是多少？A. 100分B. 150分C. 200分D. 300分7. 深国交考试中，英语科目的分值占比为：A. 20%B. 30%C. 40%D. 50%8. 深国交考试的报名截止日期通常是：A. 考试前一周B. 考试前一个月C. 考试前三个月D. 考试当年年初9. 深国交考试的合格标准是：A. 总分的50%B. 总分的60%C. 总分的70%D. 总分的80%10. 下列哪项不是深国交提供的教学资源？A. 图书馆B. 实验室C. 体育设施D. 商业实习机会二、填空题（每题2分，共20分）11. 深国交的全称是_________________________。

12. 深国交的校训是“_________________，_________________”。

13. 深国交考试中，数学科目主要考察学生的_________________能力。

14. 深国交的课程设置包括_________________、_________________和_________________三个领域。

15. 深国交的教师队伍由_________________、_________________和_________________三部分组成。

16. 深国交的学生活动中心提供_________________、_________________和_________________等服务。

2020年最新深圳国际交流学院G1入学考试数学训练试题

2020年最新深圳国际交流学院G1入学考试数学训练知识点1 :函数的定义与自变量的取值范围1．（3分）下列图象能表示y是x的函数的是（）A．B．C．D．2．（3分）在函数y＝+中，自变量x的取值范围是（）A．x≥1B．x≥1且x≠3C．x≠3D．1≤x≤3知识点2 :一次函数的定义，图像与性质3．（3分）若y＝（m﹣1）x2﹣|m| +3是关于x的一次函数，则m的值为（）A．1 B．﹣1 C．±1 D．±24．（3分）以下关于直线y＝2x﹣4的说法正确的是（）A．直线y＝2x﹣4与x轴的交点坐标为（0，﹣4）B．坐标为（3，3）的点不在直线y＝2x﹣4上C．直线y＝2x﹣4不经过第四象限D．函数y＝2x﹣4中，y的值随x的增大而减小5．（3分）A（x1，y1）和B（x2，y2）是一次函数y＝（k2+1）x+2图象上的两点,且x1＜x2，则y与y2的大小关系是（）1A．y1＝y2B．y1＜y2C．y1＞y2D．不确定6．（3分）已知正比例函数y＝kx（k≠0）的图象经过二、四象限，则一次函数y＝kx﹣k的图象大致是（）A．B．C．D．7. （3分）将函数y=2x-3的图象向上平移2个单位得到的函数解析式为。

知识点3 :一次函数图像与不等式，方程（组）的关系8．（3分）函数y＝kx+b（k、b为常数，k≠0）的图象如图，则关于x的不等式kx+b＜0的解集为（）A．x＞0 B．x＜0 C．x＜2 D．x＞29．（3分）如图，一次函数y＝x+1与y＝2x﹣1图象的交点是（2，3），观察图像，直接写出方程组 y＝x+1 的解为（）y＝2x﹣1A． B．C． D．知识点4 :观察图像，获取信息10．（3分）电话卡上存有4元话费，通话时每分钟话费0.4元，则电话卡上的余额y（元）与通话时间t（分钟）之间的函数图象是图中的（）A．B．C．D．11．（3分）甲、乙两同学骑自行车从A地沿同一条路到B地，已知乙比甲先出发，他们离出发地的距离s/km和骑行时间t/h之间的函数关系如图所示．根据图象信息，以下说法错误的是（）A．他们都骑了20kmB．两人在各自出发后半小时内的速度相同C．甲和乙两人同时到达目的地D．相遇后，甲的速度大于乙的速度12. （3分）一台印刷机每年可印刷的书本数量y（万册）与它的使用时间x（年）成反比例关系，当x=2时，y=20．则y与x的函数图象大致是（）A． B． C． D．知识点5: 分段函数的定义与图像13．（3分）如图是一个运算程序的示意图，若输出y的值为2，则输入的x值可能为（）A．3 B．±1C．1或3 D．±1或314．（3分）小刘下午5点30分放学匀速步行回家，途中路过鲜花店为过生日的妈妈选购了一束鲜花，6点20分到家，已知小刘家距学校3千米，下列图象中能大致表示小刘离学校的距离S（千米）与离校的时间t（分钟）之间的关系的是（）A． B．C． D．15．（9分）某城市出租车的收费标准为：3千米以内（含3千米）收费8元，超过3千米时，超过的部分每千米收费1.4元．（1）写出车费y（元）和行车里程x（千米）之间的关系式；（2）甲乘坐13千米需付多少元钱？若乙付的车费是36元，则他乘坐了多少里程？知识点6: 反比例函数的定义，图像与性质16. （3分）在下列函数中，y是x的反比例函数的是（）A．y＝3x B．y＝C．y＝D．y＝17．（3分）已知函数是反比例函数，且当x＜0时，y随着x的增大而增大，则m的取值是．18．（3分）若点A（﹣3，y1），B（﹣2，y2），C（1，y3）都在反比例函数y＝（k<0）的图象上，则y1，y2，y3的大小关系是（）A．y2＜y1＜y3B．y3＜y2＜y1C．y1＜y2＜y3D．y3＜y1＜y219．（3分）对于反比例函数y＝，下列说法不正确的是（）A．图象分布在第一、三象限B．当x＞0时，y随x的增大而减小C．图象经过点（2，3）D．若点A（x1，y1），B（x2，y2）都在图象上，且x1＜x2，则y1＜y220．（3分）已知函数y＝图象如图，以下结论，其中正确的有（）个：①k＜0；②y随x的增大而增大；③若A（﹣1，a），点B（2，b）在图象上，则a＜b（﹣x，﹣y）也在图象上．④若P（x，y）在图象上，则点P1A．4个 B．3个 C．2个 D．1个21．（3分）已知A（m+3，2），B（3，）是同一个反比例函数图象上的两个点，则m＝知识点7: 反比例函数中K的几何意义22．（3分）反比例函数图象的一支如图所示，△POM的面积为2，则该函数的解析式是（）A．y＝ B．y＝C．y＝﹣ D．y＝﹣23．（3分）如图，在反比例函数y＝（x＞0）的图象上，有点P1、P2、P3、P4，它们的横坐标依次为1，2，3，4．分别过这些点作x轴与y轴作垂线，图中所构成的阴影部分的面积从左到右依次为S1、S2、S3，则S1+S2+S3＝（）A．2 B．2.5C．3 D．无法确定知识点 8:反比例函数的应用24. （3分）某种气球内充满了一定质量的气体，当温度不变时，气球内气体的气压P（kPa）是气球体积V的反比例函数，其图象如图所示，当气球内的气压大于160kPa时，气球将爆炸，为了安全，气球的体积应该（）A．不小于m3 B．小于m3C．不大于m3 D．小于m3知识点 9: 反比例函数与一次函数结合25．（3分）函数y＝﹣2x与函数y＝﹣在同一坐标系中的大致图象是（）A．B．C．D．26．（3分）如图，正比例函数y1=k1x的图象与反比例函数y2=的图象相交于A，B两点，其中点A的横坐标为2，当y1＞y2时，x的取值范围是（）A．x＜﹣2或x＞2 B．x＜﹣2或0＜x＜2C ．﹣2＜x ＜0或0＜x ＜2D ．﹣2＜x ＜0或x ＞227．（12分）如图，直线y ＝kx +b 与反比例函数的图象分别交于点A （﹣1，2），点B （﹣4，n ），直线与x 轴，y 轴分别交于点C ，点D ．（1）求此一次函数和反比例函数的解析式；（2）求△AOB 的面积．28．（10分）如图所示,已知一次函数y=kx+b(k≠0)的图象与x 轴、y 轴分别交于A 、B 两点,且与反比例函数y=mx (m≠0)的图象在第一象限交于C 点, CD 垂直于x 轴,垂足为 D.若OA=OB=OD=1,(1)求点A 、B 、D 的坐标；(2)求一次函数和反比例函数的解析式.yOxDC B A29．（14分）为了预防传染病,某学校对教室采用药薰消毒法进行消毒. 已知药物燃烧时,室内每立方米空气中的含药量y(毫克)与时间x(分钟)成正比例,药物燃烧完后,y与x成反比例(如图所示),现测得药物8分钟燃毕, 此时室内空气中每立方米的含药量为6毫克.请根据题中所提供的信息,解答下列问题:(1)分别求出药物燃烧时及药物燃烧后y 关于x 的函数关系式, 并写出自变量x 的取值范围，(2)研究表明,当空气中每立方米的含药量低于 1.6毫克时学生方可进教室,那么从消毒开始,至少需要经过几分钟后,学生才能回到教室？(3)研究表明,当空气中每立方米的含药量不低于3毫克且持续时间不低于10 分钟时,才能有效杀灭空气中的病菌,那么此次消毒是否有效?为什么?参考答案1.D2.B3.B4.B5.B6.C7.y=2x-1,8.D 9.B 10.D 11.C 12.C 13.C 14.C8 x≤315.(1)y = (2)甲需付22元，乙乘坐了23千米。

深国交G1入学考试英语模拟试题B(优.选)

1. “Tommy, run! Be quick! The house is on fire!” the mother shouted, with clearly ________ in her voice．A．anger B．rudeness C．regret D．panic 2．The two girls are so alike that strangers find ______ difficult to tell one from the other．A．it B．them C．her D．that 3．Planning so far ahead _____ no sense—so many things will have changed by next year．．A．made B．is making C．makes D．has made 4．Tom______ in the library every night over the last three months．A．works B．workedC．has been working D．had been working5．—Bob has gone to California．—Oh, can you tell me when he _________?A．has left B．left C．is leaving D．would leaving 6．The next thing he saw was smoke ______ from behind the house．A．rose B．rising C．to rise D．risen 7．Sarah pretended to be cheerful, ______nothing about the argument．A．says B: said C．to say D．saying 8．The rare fish, _____ from the cooking pot, has been returned to the sea．A．saved B．saving C．to be saved D．having saving 9．When Mom looked back on the early days of their marriage, she wondered how they had managed with ______ money．A．so few B．such few C．so little D．such little 10．Mr. Stevenson is great to work for—I really couldn't ask for a＿boss．A．better B．good C．best D．still better 11．I can _____ the house being untidy, but I hate it if it’s not clean．A．come up with B．put up with C．turn to D．stick to 12．____ Barbara Jones offers to her fans is honesty and happiness．A．Which B．What C．That D．Whom13. In my opinion, what he told us just now about the affair simply doesn’t make any .A. ideaB. meaningC. senseD. point14. I didn’t like the story, , it’s too long, also it was written by a writer I don’t knowA. for one thingB. for a thingC. althoughD. in one hand15. It is strongly suggested that measures students to cheat in the exams.A. be taken to preventB. be taken to forbidC. are taken to preventD. are taken to forbid1.My mother is not satisfied with my _____________(explain).2._____________(practise) makes perfect.3.The book written by him is really worth_____________(read) again.4.Golf has gained ____________(popular) among the wealthy in my country.5.The boy finally___________(success) in passing the test.6.He is an ___________(energy) boy.7.The famous pop singer sang many songs, ______________(include) some of my favorite.8.He is busy____________(prepare) for the coming test.9.She could not wait any ___________(long).10.Jim was deeply ___________(influence) by his mother.11.She felt very sorry about her children's bad ____________(behave).12.We'll go for a picnic if it _____________(not rain) tomorrow.13.It's important to exercise______________(regular).14.Much to his ______________(surprising), she gave him her phone number.15. His father's ______________(die) made him very sad.16. Nowadays blogs are much more useful than __________diaries. (tradition)17. In the end, the young man came up with a _____________(wonder) idea.18. They _____(not hear) of that thing yet.19. I happened _________(meet) my old friend in the street yesterday.20.His bike needs _________(repair)21.She thought the young man was a queue _______________(jump).22.Liu Xiang is the ____________(proud) of the Chinese people.23. The film The promise which (direct) by Chen doesn’t interest me as much.24. It is said that at least 23 people (kill) in the gas explosion in a coal mine in Shaanxi Province.25. They (make) to stay at home all day because of the bad weather.Ⅱ完形填空Number sense is not the ability to count. It is the ability to recognize a 1 in number. Human beings are born with this ability. 2 , Experiments show that many animas are, too. For example, many birds have good number sense. If a nest has four eggs and you remove one, the bird will not 3 . However, if you remove two, the bird 4 leaves. This means that the bird knows the 5 between two and three.Another interesting experiment showed a bird’s 6 number sense. A man was trying to take a photo of a crow(乌鸦) that had a nest in a tower, but the crow always left when she saw him coming. The bird did not 7 until the man left the tower. The man had an 8 . He took another man with him to the tower. One man left and the other stayed, but they did not 9 the bird. The crow stayed away until the second man left, too. The experiment was 10 with three men and then with four men. But the crow did not return to the nest until all the men were 11 . It was not until five men went into the tower and only four left that they were 12 able to fool the crow.How good is a human’s number sense? It’s not very good. For example, babies about fourteen months old almost always notice if something is taken away from a 13 group. But when the number goes beyond three or four, the children are14 fooled.It seems that number sense is something we have in common with many animals in this world, and that our human 15is not much better than a crow’s.1. A. rise B. pattern C. change D. trend2. A. Importantly B. Surprisingly C. Disappointedly D. Fortunately3. A. survive B. care C. hatch D. notice4. A. generally B. sincerely C. casually D. deliberately5. A. distance B. range C. difference D. interval6. A. amazing B. annoying C. satisfying D. disturbing7. A. relax B. recover C. react D. return8. A. appointment B. excuse C. idea D. explanation9. A. fool B. hurt C. catch D. kill10. A. reported B. repeated C. designed D. approved11. A. confused B. gone C. tired D. drunk12. A. gradually B. luckily C. strangely D. finally13. A. single B. small C. local D. new14. A. seldom B. temporarily C. merely D. often15. A. sight B. nature C. ability D. beliefⅢ阅读理解A．Imagination and fantasy can play an important role in achieving the things we fear. Children know this very well. Fred Epstein, in his book I Make It to Five, tells a story he heard from one of his friends about Tom, a four-year-old boy with a cancer in his back bone. He came through several operations and a lot of pain by mastering his imagination.Tom loved to pretend, and he particularly loved to play superheroes. Dr. Epstein explained that it was actually a brilliant way for his young mind to handle the terrifying and painful life he led.The day before his third trip to the operating room, Tom was terribly afraid. “ Maybe I could go as Superman,” he whispered to his mom. Hearing this, the mother hesitated for while. She has avoided buying the expensive costume(戏装), but finally she agreed.The next day Tom appeared as the powerful Superman, showing off through the hospital halls and coolly waving his hand to the people greeting him along the way. And Tom, with the strength of his fantasy, successfully made it through the operation.The power of imagination need not be reserved for children only. We all have the power to use our fantasies to attempt things we never thought possible, to go through those things that seem impossible, and to achieve what we never believed we could. Just as Dr. Epstein puts it, “If you can dream it, you can do it.”It doesn’t mean that y ou should dress as a superhero for your next job interview. But, next time you are tested in a way that seems impossible, imagine what it would take to overcome it. Become the person you need to become to win over your challenge and do it in your mind first. So, let your imagination run wild, and dare to dream.26. What do we know about Tom?A. He was seriously ill.B. He was a dishonest boy.C. He was crazy about magic.D. He was Dr. Epstein’s patient.27. What can be inferred about Tom’s mother?A. She was a rich lady.B. She refused Tom’s request.C. She wanted Tom to be a superhero.D. She wanted to get Tom through the pain.28. When Tom went for the third operation, he_________.A. pretended to be painfulB. acted like a superheroC. appeared in poor spiritsD. argued with his mother29. In the last paragraph, you are advised________.A. to go through some difficult testsB. to wake up from your wild dreamsC. to become a powerful person in your mindD. to wear expensive clothes for job interviews30. What is the purpose of the passage?A. To tell us an interesting story.B. To help us make right decisions.C. To advise us to care about children.D. To encourage us to use our imagination.B.Some people think that success is only for those with talent or those who grow up in the right family, and others believe that success mostly comes down to luck. I’m not going to say luck, talent, and circumstances don’t come into play because they do. Some people are born into the right family while others are born with great intelligence, and that’s just the reality of how life is.However, to succeed in life, one first needs to set a goal and then gradually make it more practical. And, in addition to that, in order to get really good at something, one needs to spend atleast 10,000 hours studying and practicing. To become great at certain things, it’ll require even more time, time that most people won’t put in.This is a big reason why many successful people advise you to do something you love. If you don’t enjoy what you do, it is going to feel like unbearable pain and will likely make you quit well before you ever become good at it.When you see people exhibiting some great skills or having achieved great success, you know that they have put in a huge part of their life to get there at a huge cost. It’s sometimes easy to think they got lucky or they were born with some rare talent, but thinking that way does you no good, and there’s a huge chance that you’re wrong anyway.Whatever you do, if you want to become great at it, you need to work day in and day out, almost to the point of addiction, and over a long period of time. If you’re not willing to put in the time and work, don’t expect to receive any rewards. Consistent, hard work won’t guarantee you the level of success you may want, but it will guarantee that you will become rally good at whatever it is you put all that work into.31. Paragraph 1 mainly talks about__________.A. the reasons for successB. the meaning of successC. the standards of successD. the importance of success32. Paragraph 2, the underlined word that refers to__________.A. being good at somethingB. setting a practical goalC. putting in more timeD. succeeding in life33. Successful people suggest doing what one loves because_____________.A. work makes one feel painB. one tends to enjoy his workC. one gives up his work easilyD. it takes a lot of time to succeed34. What can be infer from Paragraph 4?A. Successful people like to show their great skills.B. People sometimes succeed without luck or talent.C. People need to achieve success at the cost of life.D. It helps to think that luck or talent leads to success.35. What is the main theme of the passage?A. Having a goal is vital to success.B. Being good is different from being great.C. One cannot succeed without time and practice.D. Luck, talent and family help to achieve success.C.One day, when I was working as a psychologist in England, an adolescent boy showed up in my office. It was David. He kept waling up and down restlessly, his face pale, and his hands shaking slightly. His head teacher had referred him to me. “This boy has lost his family,” he wrote. “He is understandably very sad and refuses to talk to others, and I’m very worried about him. Can I help?”I looked at David and showed him to a chair. How could I help him? There are problems psychology doesn’t have the answer to, and which no wards can describe. Sometimes the best thing one can do is to listen openly and sympathetically.The first two times we met, David didn’t say a word. He sat there, only looking up to look at the children’s drawings on the wall behind me. I suggested we play a game of chess. He nodded. After that he played chess with me every Wednesday afternoon---in complete silence and without looking at me. It’s not easy to cheat in chess, but I admit I made sure David won once or twice.Usually, he arrived earlier than agreed, took the chess board and pieces from the shelf and began setting them up before I even got a chance to sit down. It seemed as if he enjoyed my company. But why did he never look at me?“Perhaps he simply needs someone to share his pain with,” I thought. “Perhaps he senses that I respect his suffering.”Some months later, when we were playing chess, he looked up at me suddenly.“It’s your turn,” he said.After that day, David started talking. He got friends in school and joined a bicycle club. He wrote to me a few times, about his biking with some friends, and about his plan to get into university. Now he had really started to live his own life.Maybe I gave David something. But I also learned that one---without any words---can reach out to another person. All it takes is a hug, a shoulder to cry on, a friendly touch, and an ear that listens.36. When he first met the author, David_________.A. felt a little excitedB. walked energeticallyC. looked a little nervousD. showed up with his teacher37. As a psychologist, the author __________.A. was ready to listen to DavidB. was skeptical about psychologyC. was able to describe David’s problemD. was sure of handling David’s problem38. David enjoyed being with the author because he____________.A. wanted to ask the author for adviceB. needed to share sorrow with the authorD. beat the author many times in the chess game39. What can be inferred about David?A. He recovered after months of treatment.B. He liked biking before he lost his family.C. He went into university soon after starting to talk.D. He got friends in school before he met the author.40. What made David change?A. His teacher’s help.B. The author’s friendship.C. His exchange of letters with the author.D. The author’s silent communication with him.D.While Jennifer was at home taking an online exam for her business law class, a monitor(监控器) a few hundred miles away was watching her every move.Using a web camera equipped in Jennifer’s Los Angeles apartment, the monitor in Phoenix tracked how frequently her eyes moved from the computer screen and listened for the secret sounds of a possible helper in the room. Her Internet access was locked---remotely---to prevent Internet searches, and her typing style was analyzed to make sure she was who she said she was; Did she enter her student number at the same speed as she had in the past? Or was she slowing down?In the battle against cheating, this is the cutting edge and a key to encourage honestly in the booming field of on line education. The technology gives trust to the entire system, to the institution and to online education in general. Only with solid measures against cheating, experts say, can Internet universities show that their exams and diplomas are valid---that students haven’t searched the Internet to get the right answers.Although online classes have existed for more than a decade, the concern over cheating become sharper in the last year with the growth of “open online courses.” Private colleges, public universities and corporations are jumping into the online education field, spending millions of dollars to attract potential students, while also taking steps to help guarantee honesty at a distance.Aside from the web cameras, a number of other high-tech methods are becoming increasingly popular. Among them are programs that check student’s identities using personas information, such as the telephone numbers they once used.Other programs can produce unique exams by drawing on a large list of questions and can recognize possible cheaters by analyzing whether difficult test questions are answered at he same speed as easy ones. As in many university classes, term papers are scanned against some large Internet data banks for cheating.41. Why was Jennifer watched by a monitor in an online exam?42. The underlined expression cutting edge in Paragraph 3 is closest in meaning to _______.A. advanced techniqueB. sharpening toolC. effective ruleD. dividing line43. For Internet universities, exams and diplomas will be valid if__________.A. they can attract potential studentsB. they can defeat academic cheatingC. they offer students online helpD. they offer many online courses44. Some programs can find out possible cheaters by_________.A. checking the question answering speedB. producing a large number of questionsC. scanning the Internet test questionsD. giving difficult test questions45. Which of the following is the best title of this passage?A. The Advantages of Online ExamsB. The High-tech Methods in Online CoursesC. The Fight against Cheating in Online EducationD. The War against the Booming of Online EducationⅣ。

(完整word版)深国交G1英语

深国交G1 英语入学考模拟题Ⅰ.语法1。

He ate what he could， and gave the _____ of the food to the birds。

A。

remain B。

uneaten C. rest D。

part2. Alice was very sorry to hear that her grandmother had _____ two days before.A。

broken off B。

passed offC。

given away D. passed away3.The noise was so _____ that only those with excellent hearing were aware of it.A. dim B。

soft C. faint D. gentle4.If he refuses to _____ my plan， I can probably find someone more cooperative.A。

put up with B. fall in withC。

do with D。

get along with5. Her skirt had been so _____ in packing that she had to iron it before going out.A. faded B。

torn C. dirty D。

crushed6。

When I took his temperature, it was two degrees above _____。

A。

average B. ordinary C. regular D。

normal7。

These plastic flowers look so _____ that many people think they are real。

A。

2020年最新深圳国际交流学院G1入学考试数学训

2020年最新深圳国际交流学院G1入学考试数学训练1．如图是由 4 个完全一样的小正方体组成的几何体，这个几何体的主视图是（）A ．B ．C ．D ．2．设 a 为正整数，且＜a +1，则 a 的值为（）A ．5B ．6C ．7D ．83．下列图形中，不是轴对称图形的是（）A ．B ．C ．D ．4．九年级参展作品中有 4 件获得一等奖，其中有 2 名作者是男生，2 名作者是女生．现在要在抽两人去参加学校总结表彰座谈会，求恰好抽中一男一女的概率（）A ．B ．C ．D ． 5．若在实数范围内有意义，则 x 的取值范围是（）A ．B ．x ＜ 2D ．x ≥06．下列事件中，是必然事件的是（）A ．掷一次骰子，向上一面的点数是 6B ．13 个同学参加一个聚会，他们中至少有两个同学的生日在同一个月C ．射击运动员射击一次，命中靶心D ．经过有交通信号灯的路口，遇到红灯7．如图，l 1∥l 2，等边△ABC 的顶点 A 、B 分别在直线 l 1、l 2，则∠1+∠2＝（）A ．30°B ．40°C ．50°D ．60°第 7 题第 8 题第 10 题8．Rt △ABC 中，AB ＝4，则 cos B 的值是（）A ．B ．C ．D ．9．《九章算术》是我国古代数学名著，有题译文如下：今有门，不知其高宽；有竿，不知其长短．横放，竿比门宽长出 4 尺；竖放，竿比门高长出 2 尺；斜放，竿与门对角线长恰好相等．问门高、宽和对角线的长各是多少？设门对角线的长为 x 尺，下列方程符合题意的是（） A ．（x +2）2+（x ﹣4）2＝x 2 B ．（x ﹣2）2+（x ﹣4）2＝x 2 C ．x 2+（x ﹣4）2＝（x ﹣4）2D ．（x ﹣2）2+x 2＝（x +4）210．如图所示，在平面直角坐标系中，直线 y 1＝2x +4 分别与 x 轴，y 轴交于 A ，B 两点，以线段 OB 为一条边向右侧作矩形 OCDB ，且点 D 在直线 y 2＝﹣x +b 上，若矩形 OCDB 的面积为 20，直线 y 1＝2x +4 与直线 y 2＝﹣x +b 交于点 P ．则 P 的坐标为（） A ．（2，8）B ．C ．D ．（4，12）11．3x （x ﹣5）+2（5﹣x ）分解因式的结果为．12．将抛物线 y ＝2x 2 向下平移 1 个单位，再向左平移 3 个单位得到的抛物线的解析式是．13．如图：在 Rt △ABC 中，∠B ＝90°，以顶点 C 为圆心，适当长为半径画弧，分别交 AC 、BC 于点 E 、F ，再分别以点 E 、F 为圆心，大于 EF 的长为半径画弧，两弧交于点 P ，作射线 CP 交 AB 于点 D ，若 BD ＝ 2，AC ＝6，则△ACD 的面积为．第 13 题第 14 题14．如图，若△ABC 内接于半径为 6 的⊙O ，且∠A ＝60°，连接 OB 、OC ，则边 BC 的长为．15.（每小题 6 分，共 12 分）（2）解不等式组：，并求出所有整数解之和．16.（6 分）已知 x ，y 满足方程组，求代数式（x ﹣y ）2﹣（x +2y ）（x ﹣2y ）的值．17.（本小题 8 分）某校组织学生到恩格贝 A 和康镇 B 进行研学活动，澄澄老师在网上查得，A 和 B 分别位于学校 D 的正北和正东方向，B 位于 A 南偏东 37°方向，校车从 D 出发，沿正北方向前往 A 地，行驶到 15 千米的 E 处时，导航显示，在 E 处北偏东 45°方向有一服务区 C ，且 C 位于 A ，B 两地中点处．（1）求 E ，A 两地之间的距离；（2）校车从A地匀速行驶 1 小时 40 分钟到达 B 地，若这段路程限速 100 千米/时，计算校车是否超速？（参考数据，cos37°＝，tan37°＝）18.（本小题 8 分）为了了解本校学生对新闻、体育、动画、娱乐、戏曲五类电视节目的喜爱情况，课题小组随机选取该校部分学生进行了问卷调査（问卷调査表如图 1 所示），并根据调查结果绘制了图 2、图 3两幅统计图（均不完整），请根据统计图解答下列问题．（1）本次接受问卷调查的学生有名．（2）补全条形统计图．（3）扇形统计图中 B 类节目对应扇形的圆心角的度数为．（4）该校共有 2000 名学生，根据调查结果估计该校最喜爱新闻节目的学生人数．19.（10 分）如图，在平面直角坐标系中，直线 AB 与 y 轴交于点 B （0，7），与反比例函数 y ＝在第二象限内的图象相交于点 A （﹣1，a ）．（1）求直线 AB的解析式；（2）将直线 AB 向下平移 9 个单位后与反比例函数的图象交于点 C 和点 E ，与 y 轴交于点 D ，求△ACD 的面积；（3）设直线 CD 的解析式为 y ＝mx +n ，根据图象直接写出不等式 mx +n ≤ 的解集．20.（本题10 分）如图，△ABC 内接于⊙O，∠CBG＝∠A，CD 为直径，OC 与AB 相交于点E，过点E 作EF⊥BC，垂足为F，延长CD 交GB 的延长线于点P，连接BD．（1）求证：PG 与⊙O 相切；（2）＝，的值；（3）在（2）的条件下，若⊙O 的半径为8，PD＝OD，求OE 的长．21．已知关于x 的方程a（x+m）2+b＝0（a、b、m 为常数，a≠0）的解是x1＝2，x2＝﹣1，那么方程a（x+m+2）2+b＝0 的解．22．有六张正面分别标有数字﹣2，﹣1，0，2，3，4 的不透明卡片，它们除数字不同外其余均相同．现它们背面朝上，洗匀后从中任取一张，将该卡片上的数字记为m，则使关于x 的分式方程有正整数解的概率为．23．如图，在△ABC 中，AB＝AC，点A 在y 轴上，点C 在x 轴上，BC⊥x 轴．延长AC 到点D，过点D 作DE⊥x 轴于点G，且DG＝GE，连接CE，反比例函数（k≠0）的图象经过点B，和CE 交于点F，且CF：FE＝2：1．若△ABE 面积为6，则点D 的坐标为．第23 题第24 题第25 题24．如图，在菱形ABCD 中，∠B＝60°，点P 是△ACD 内一点，连接PA、PC、PD，若PA＝5，PD＝12，PC＝13，则AC•BD＝．25．矩形ABCD 的边AB＝4，边AD 上有一点M，连接BM，将MB 绕M 点逆时针旋转90°得MN，N 恰好落在CD 上，过M、D、N 作⊙O，⊙O 与BC 相切，Q 为⊙O 上的动点，连BQ，P 为BQ 中点，连AP，则AP 的最小值为．26.（本题 8 分）为响应成都市“创建全国文明城市”号召，某单位不断美化环境，拟在一块矩形空地上修建绿色植物园，其中一边靠墙，可利用的墙长不超过18m，另外三边由36m 长的栅栏围成．设矩形ABCD 空地中，垂直于墙的边AB＝xm，面积为ym2（如图）．（1）求y 与x 之间的函数关系式，并写出自变量x 的取值范围；（2）若矩形空地的面积为160m2，求x 的值；（3）若该单位用8600 元购买了甲、乙、丙三种绿色植物共400 棵（每种植物的单价和每棵栽种的合理用地面积如下表）．问丙种植物最多可以购买多少棵？此时，这批植物可以全部栽种到这块空地上吗？请说明理由．甲乙丙单价（元/棵）141628合理用地（m2/棵）0.410.427.（10分）（1）证明推断：如图（1），在正方形ABCD中，点E，Q分别在边BC，AB上，DQ⊥AE于点O，点G，F 分别在边CD，AB 上，GF⊥AE．①求证：DQ＝AE；②推断的值为；（2）类比探究：如图（2），在矩形ABCD中，＝k（k为常数）．将矩形ABCD沿GF折叠，使点A 落在BC 边上的点E 处，得到四边形FEPG，EP 交CD 于点H，连接AE 交GF 于点O．试探究GF 与AE 之间的数量关系，并说明理由；（3）拓展应用：在（2）的条件下，连接CP，当k＝时，若tan∠CGP＝，GF＝2 ，求CP 的长．。

深圳2024年06版小学五年级G卷英语第1单元全练全测(含答案)

深圳2024年06版小学五年级英语第1单元全练全测(含答案)考试时间：90分钟（总分:140）A卷考试人：_________题号一二三四五总分得分一、综合题(共计100题)1、填空题：The _______ (The Great Depression) led to widespread economic hardship.2、What do you wear on your feet?A. HatB. ShirtC. ShoesD. Pants答案:C3、What is the color of an orange?A. BlueB. OrangeC. RedD. Yellow答案: B. Orange4、填空题：I can draw a ______.5、填空题：The _____ (野生动植物) depend on local plants for survival.6、填空题：The __________ (历史的启蒙) sparks change.7、What do we call the study of human societies and cultures?A. SociologyB. PsychologyC. AnthropologyD. History答案: C. Anthropology8、听力题：She is ___ a picture. (drawing)9、听力题：He is _______ (reading) a book.10、填空题：A ___ (小国王蛇) is colorful and beautiful.11、填空题：The frog jumps from rock to ______.12、What is the capital of Greece?A. AthensB. RomeC. CairoD. Istanbul答案:A13、听力题：The _______ of light can be reflected off surfaces.14、听力题：The ______ is a giant cloud of gas and dust in space.15、What is the name of our planet?A. MarsB. EarthC. VenusD. Jupiter16、选择题：What sound does a cow make?A. MooB. BarkC. OinkD. Meow17、填空题：My sister is a __________ (设计师).18、听力题：The _______ is essential for the growth of new plants.19、听力题：The dog is ___ with its owner. (playing)20、填空题：The __________ (历史的激励作用) drive progress.21、听力题：The boy likes ________.22、Which fruit is yellow and curved?A. AppleB. BananaC. OrangeD. Grape答案:B23、听力题：A single atom of oxygen can bond with two _____ atoms to form water.24、填空题：We can plant ______ (树) in our schoolyard. They will provide ______ (阴凉).25、What do you call a group of wolves?A. PackB. FlockC. SchoolD. Herd26、填空题：I made a toy _________ (动物) that sings songs.27、听力题：We like to have ______ (picnics) in the park.28、听力题：Reactivity is the ability of a substance to undergo a _____.29、听力题：The tree is ___ (bearing) fruit.30、填空题：I have a big ______ (气球) for my birthday party. It is my favorite ______ (颜色).31、What is the name of the ocean next to the USA?A. Indian OceanB. Pacific OceanC. Arctic OceanD. Atlantic Ocean答案:B32、听力题：A reaction that occurs in the presence of heat is called a ______ reaction.33、听力题：Molecules are made up of two or more ______ bonded together.34、听力题：The bicycle is ___ (new/old).35、填空题：The __________ (历史的前瞻) encourages planning.36、听力题：The process of breaking down food in our bodies is called ______.37、What do we call a person who travels to space?A. AstronautB. PilotC. ScientistD. Engineer答案:A38、听力题：The tree is ___ (bushy/barren).39、What is the name of the famous American musician known for "Counting Stars"?A. OneRepublicB. Maroon 5C. ColdplayD. Imagine Dragons答案：A40、听力题：The baby is _____ (crying/sleeping) in the crib.41、填空题：The __________ (历史的交织) builds bridges.42、听力题：The boiling point of water is _______ degrees Fahrenheit.I got a new ________ for my birthday.44、听力题：The chemical formula for cetyl alcohol is ______.45、填空题：I want to grow a ________ to share with my friends.46、听力题：I like to ________ with my friends.47、填空题：I like to _______ (与朋友见面).48、填空题：In Canada, the official languages are English and ________ (在加拿大，官方语言是英语和________).49、填空题：I met my _____ (新邻居) yesterday.50、What do we call the study of fungi?A. MycologyB. BotanyC. ZoologyD. Ecology答案:A. Mycology51、选择题：What do we call the practice of planting trees?A. ReforestationB. AfforestationC. DeforestationD. Agriculture52、填空题：A ____(network of organizations) collaborates on common goals.53、填空题：The cake is ________ (美味的).54、填空题：A ________ (地形) refers to the physical features of an area.What is the name of the famous painting by Leonardo da Vinci?A. The Last SupperB. The Starry NightC. Mona LisaD. The Scream56、填空题：The _______ (青蛙) has smooth skin.57、填空题：The _____ (chili) pepper adds spice to dishes.58、填空题：The ______ (阳光) provides energy for plants to grow.59、What do we call the plant that produces coffee beans?A. Tea plantB. Cocoa treeC. Coffee treeD. Sugarcane答案:C60、填空题：I dream of going to ________ (太空) one day.61、选择题：What device do we use to call someone?A. PhoneB. ComputerC. TelevisionD. Radio62、What is the name of the famous American musician known for "Dancing on My Own"?A. RobynB. Dua LipaC. Selena GomezD. Ariana Grande答案：A63、听力题：My dad _____ a new car last week. (bought)64、听力题：There are many _____ (books) on the shelf.The teacher gives us _____ (homework/tests).66、Which instrument is used to measure temperature?A. BarometerB. ThermometerC. SpeedometerD. Ruler答案:B67、听力题：Sound travels faster in water than in ______.68、What is the opposite of tough?A. SoftB. WeakC. FragileD. All of the above答案:D69、填空题：My aunt loves to __________. (种花)70、选择题：What is the main source of light during the day?A. MoonB. SunC. StarsD. Clouds71、What do you call a sweet, baked treat made from chocolate?A. CakeB. BrownieC. CookieD. All of the above答案:D72、听力题：The ________ (mountain) is difficult to climb.73、选择题：What do we call a small, simple house?A. MansionB. CottageC. ApartmentD. Villa74、What is the capital of Venezuela?a. Caracasb. Maracaiboc. Valenciad. Barquisimeto答案:a75、填空题：My favorite part of the day is ______.76、听力题：My favorite fruit is _____. (orange)77、听力题：The chemical symbol for indium is __________.78、听力题：A _______ is a reaction where energy is released as heat.79、填空题：My ________ (玩具) is a source of inspiration and joy.80、What do you call a person who studies the weather?A. MeteorologistB. ClimatologistC. GeologistD. Hydrologist答案:A81、填空题：A ______ (花卉市场) offers a variety of blooms.82、听力题：A __________ is used to measure seismic activity.83、听力题：The capital of the Philippines is __________.84、填空题：The garden is full of lovely _______ that bring joy.85、听力题：My favorite subject is ________.86、填空题：My favorite sport is _______ (滑雪).87、What do we call the process of a caterpillar becoming a butterfly?A. MetamorphosisB. GrowthC. EvolutionD. Transformation答案: A88、填空题：I have a pet _______ that likes to play (我有一只喜欢玩的宠物_______).89、填空题：I have a plant that thrives in _____ sunlight.90、What is 100 25?a. 65b. 70c. 75d. 80答案:C91、填空题：I enjoy ______ (与同事合作).92、听力题：The stars are ______ (bright) at night.93、What is the largest land animal?A. GiraffeB. ElephantC. RhinoD. Hippo94、填空题：The __________ is where most of the world's earthquakes occur. (环太平洋火山带)95、What is the largest organ in the human body?A. HeartB. LiverC. SkinD. Lungs答案:C96、填空题：I keep a journal to write about my ________ (梦想) and aspirations for the future.97、选择题：What do you call the season when flowers bloom?A. WinterB. SpringC. SummerD. Fall98、填空题：We have a ______ (有趣的) discussion in class.99、What do you call a type of music that is fast and exciting?A. ClassicalB. JazzC. RockD. Blues答案:C100、填空题：The cat chases a ______.。

2020年5月24号深国交考试真题

5月24号深国交G1考试真题备注：20题，1道选择+19道填空，共30个空 1、计算：已知100910091101+9=191-10b a （）（），求a =__________，b =__________．2、 EB 为直径，AE BC ∥,EB CD ∥，:4:5AEB ABE ∠∠=，求DCB ∠__________．3、 BC 为直径，DE 为切线，且AC BD ∥，BC DE ∥,:3:4ABC ACB ∠∠=，求CED∠__________．4、已知方程2160x nx +−=，使方程有整数解的整数n 有多少个？__________．CD E BAAB E DC5、 24y x bx =−++经过2,)n −（，(4,)n ，求n 的值__________6、已知=a b c k b c a c a b ==+++,则函数0)k y x x−=<（经过第__________象限．7、222(1)4(1)1x x x x x x +−−÷=+±x a =+a =__________，b =__________， c =__________．8、扇形ABC 中，120AOB ∠=︒,E 是AB 中点 ,6AO BO OE ===,求=S 阴影__________．9、如图所示，tan DAC ∠=,则a =__________，b =__________，c =__________．D B A 直径弦切线43A BDC10、已知10a b c ++=，22238a b c ++=，333160a b c ++=，求abc =__________．11、已知不等式组11(42)423122x a x x ⎧−−⎪⎪⎨−⎪<+⎪⎩≤的解集为x a ≤,分式方程24111y a y y y −−−=−−有非负整数解，求整数a 的和为__________．12、05π2sin302x −=−−︒，则x =__________； 2032π2sin302x x +−=−−︒，则x =__________．13、1，3，5，0四个数字，组成不重复的四位数，每个数字用一次，则满足条件的所有四位数的平均数为__________．14、(1)220a y a −+−=，y 无论取何值方程都成立，则a =__________；22538120x y xy y x −++−=，y 无论取何值方程都成立，则x =__________.15、观察21122+=1-()3333⨯， 23112122++()=1-()333333⨯⨯已知一组数字：505110032121212()()()=333333ax bx cx d ⨯⨯⨯+++，，，令502()3x =，则a =__________，b =__________，c =__________，=d __________．16、已知2221(21)(2)3x y y x +++−=,则+x y =__________．17、若1010k −<<，则22(2)(3)k x k y −++在有理数范围内因式分解的概率为__________．18、a,b，c，d为四个不同的实数，若a,b为方程210110−−=的根，c，d为方程x cx d210110+++=__________．−−=的根，求a b c dx ax b。

深国交入学G1考试模拟试题一汇编

深国交入学G1考试模拟试题一一、选择题1．下列各图是选自历届世博会会徽中的图案，其中是中心对称图形的是( )A. B. C. D.2．6月1日，参观上海世博会的游客约为505 000人.505 000用科学记数法表示为( )A ．505×103B ．5.05×103C ．5.05×104D ．5.05×1053.计算果是（）.（A ）1. （B ）-1. （C（D4. 如图，⊙O 的直径CD =5cm ，AB 是⊙O 的弦，AB ⊥CD ，垂足为M ，OM ：OD =3：5．则AB 的长是（）. （A ）2cm . （B ）3cm . （C ）4cm .（D ）5. 如图，在等腰梯形ABCD 中，AB ＝2，BC ＝4，∠B ＝45°，则该梯形的面积是（）.（A） 1. （B ）4（C）（D）-2.6．已知二次函数y ＝ax 2＋bx ＋c(a ≠0)的图象如图，则下列结论中正确的是 A ．a>0B ．当x>1时，y 随x 的增大而增大C ．c<0D ．3是方程ax 2＋bx ＋c ＝0的一个根二、填空题1. 分解因式：3a 3 - 12a = .（第5题图）（第4题图）2．双曲线y ＝2k －1x的图象经过第二、四象限，则k 的取值范围是 .3．如图，在ABC △中，90A ∠=，4BC =cm ，分别以B C ，为圆心的两个等圆外切，则图中阴影部分的面积为 2cm ．4．有一数值转换器，原理如图所示，若开始输入x 的值是5，可发现第一次输出的结果是8，第二次输出的结果是4，…，请你探索第2011次输出的结果是 .5．如图，观察每一个图中黑色正六边形的排列规律，则第10个图中黑色正六边形有个．三、解答题10212cos30()12--+--;2、化简：2269111a a a a -+⎛⎫-÷⎪--⎝⎭3．2011年6月4日，李娜获得法网公开赛的冠军，圆了中国人的网球梦，也在国内掀起一股网球热．某市准备为青少年举行一次网球知识讲座，小明和妹妹都是网球球迷，要求爸爸去买门票，但爸爸只买回一张门票，那么谁去就成了问题，小明想到一个办法：他拿出一个装有质地、大小相同的2x个红球与3x个白球的袋子，让爸爸摸出一个球，如果摸出的是红球，妹妹去听讲座，如果摸出的是白球，小明去听讲座．(1)爸爸说这个办法不公平，请你用概率的知识解释原因；(2)若爸爸从袋中取出3个白球，再用小明提出的办法来确定谁去听讲座，请问摸球的结果是对小明有利还是对妹妹有利，说明理由．4．“六一”儿童节前，某玩具商店根据市场调查，用2 500元购进一批儿童玩具，上市后很快脱销，接着又用4 500元购进第二批这种玩具，所购数量是第一批数量的1.5倍，但每套进价多了10元．(1)求第一批玩具每套的进价是多少元？(2)如果这两批玩具每套售价相同，且全部售完后总利润不低于25%，那么每套售价至少是多少元？5．某市为缓解城市交通压力，决定修建人行天桥，原设计天桥的楼梯长AB＝6 m，∠ABC＝45°，后考虑到安全因素，将楼梯脚B移到CB延长线上点D处，使∠ADC＝30°(如图所示)．(1)求调整后楼梯AD的长；(2)求BD的长(结果保留根号)．6．如图，在⊙O中，AB为直径，AC为弦，过点C作CD⊥AB与点D，将△ACD沿AC翻折，点D落在点E处，AE交⊙O于点F，连接OC、FC.(1)求证：CE是⊙O的切线；(2)若FC∥AB，求证：四边形AOCF是菱形．7、如图，抛物线2y x bx c =++与x 轴交于A B 、两点，与y 轴交于点()02C ，，连结AC ，若tan 2.OAC =∠（1）求抛物线的解析式；（2）抛物线对称轴l 上有一动点P ，当90APC °=∠时，求出点P 的坐标；OABCP1、Sarah is twice as old as her youngest brother. If the difference between their ages is 15years. How old is her youngest brother?A. 10B. 15C. 20D. 25E. 302、Two angles of a triangle measure 15°and 85 °. What is the measure for the thirdangle?A. 50°B. 55°C. 60°D. 80°E. 90°3、How much liquid is containedin a cylinder-shaped container that has a diameter of 10cm and a height of 1.2 dm, if the container is exactly 1/2 full?4、A tank with full water has a inverted circular cone with base of radius 5 m and H of 10 m . If the tank has a hole and is leaking and the water level is decreasing at the rate of 3m3/min –estimate the rate at which the tank is losing water when the water level is only 5 m deep.。

2020年深国交G1入学考试数学复习资料：填空综合训练-5(25题)

填空综合题-51.若062=-+mx x 的两个根都是整数，则m 可取值为．2.设K ＝a b c c +-＝a b c b -+＝a b c a -++，则K ＝．3.已知非零实数c b a ,,满足，72,52,31=+-=+=+c a ac c b bc b a ab ，则=a ．4..已知实数x 满足：2322+=-+x x x x ，则=x ．5.（1）计算：1998200020002000200073153735+⎛⎫⨯ ⎪+⎝⎭=．（2）如果5555555555555554444666666233322n ++++++++⨯=+++，那么n =．6.如图所示，矩形AOCB 的两边OC ，OA 分别位于x 轴，y 轴上，点B 的坐标为)5,320(-，D 是AB 边上的一点，将△ADO 沿直线OD 翻折，使A 点恰好落在对角线OB 上的点E 处，若点E 在一反比例函数x k y =的图像上，那么=k 。

7.已知042=-+m m ，04112=-+n n ，n m ,为实数，且n m 1≠，代数式nm 1+=_______8.如右图，在平面直角坐标系中，一次函数(0)y ax b a =+≠的图像与反比例函数(0)k y k x =≠的图像交于一、三象限的A 、B 两点，与x 轴交于C 点。

已知)2(m A ，，)2,(-n B ，2tan 5BOC ∠=，则此一次函数的解析式为.9.如图，在Rt △ABC 中，∠BAC ＝90°，AB ＝AC ，分别过B ，C 作经过点A 的直线的垂线BD ，CE ，若BD ＝3cm ，CE ＝4cm ，则DE ＝.10.两个凸多边形，它们的边长之和为12，对角线的条数之和为19，那么这两个多边形的边数分别是和．11.如图，在四边形ABCD 中，AD ＝4，CD ＝1，CB ＝3，∠D ＝135°，∠C ＝90°，则∠B ＝．12.若2000,1999,1998222=+=+=+x c x b x a 且24abc =，则111c a b ab bc ac a b c ++---的值为．13.设0a b c ++=，求222222222a b c a bc b ac c ab +++++的值为．14.如果0a b c ++=，1114a b c ++=-，那么222111a b c ++的值为．15.等腰三角形一腰上的中线把这个三角形的周长分成12cm 和21cm 两部分，则这个等腰三角形底边的长为．16.如图，∠A +∠B +∠C +∠D +∠E 的度数为____________.17.如图，在△ABC 中，∠A =96°，延长BC 到D ，∠ABC 与∠ACD 的平分线相交于1A 点，BC A 1∠与CD A 1∠的平分线相交于2A 点，依此类推，BC A 4∠与CD A 4∠的平分线相交于5A 点，则5A ∠的大小是________.。

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A ．
B ．
C ．
D ．
a a a
深国交入学G1考试模拟试题五
一、选择题
1、下列各式从左到右的变形，是因式分解的是：（）
A 、x x x x x 6)3)(3(692+-+=+-
B 、()()103252-+=-+x x x x
C 、()2
24168-=+-x x x D 、()()()()2332-+=+-x x x x
2、如右图所示的“h ”型几何体的俯视图是
3、某校体育节有13名同学参加女子百米赛跑，它们预赛的成绩各不相同，取前6名参加决
赛．小华已经知道了自己的成绩，她想知道自己能否进入决赛，还需要知道这13名同学成绩的（） A ．方差
B ．极差
C ．中位数
D ．平均数
4、一辆汽车在笔直的公路上行驶，两次拐弯后，仍在原来的方向上平行前进，则两次拐弯的角度可以是（）
A ．第一次向右拐40°，第二次向左拐140°
B ．第一次向左拐40°，第二次向右拐40°
C ．第一次向左拐40°，第二次向右拐140°
D ．第一次向右拐40°，第二次向右拐40°
5、如图所示，l
1∥l 2，∠1=120°，∠2=100°，则∠3=( )
A.20°
B.40°
C.50°
D.60
6．若))(3(152n x x mx x ++=-+，则m 的值为（）
（A ）－5 （B ）5
（C ）－2 （D ）2
二、填空题 1．函数1
3
y x =-的自变量x 的取值范围是________________ 2
、如图是我们生活中经常接触的小刀，刀柄外形是一个直角梯形（下底挖去一小半圆），刀片上、下是平行的，转动刀片时会形成∠1、∠2,则∠1+∠2＝___。

Í 2 1
l l ¦Á C B
A
3．已知圆锥的母线长为4，底面半径为3，则圆锥的侧面积等于____ ____。

4．如图，在Rt △ABC 中，∠C =90°， AM 是BC 边上的中线，
5
3
sin =
∠CAM ，则B ∠tan 的值为。

5、按下图方式摆放餐桌和椅子．
即一张餐桌可坐6人，两张餐桌可坐10人，三张餐桌可坐14人，…，按此规律推断，n 张餐桌可坐人数为．
三、解答题
1、计算或化简：
（1
）101
sin 45()1)2-+-；（2
）11()11x x --+
2、小明和小亮玩一个游戏：三张大小、质地都相同的卡片上分别标有数字1，2，3，现将标有数字的一面朝下. 小明从中任意抽取一张，记下数字后放回洗匀，然后小亮从中任意抽取一张.，计算小明和小亮抽得的两个数字之和，如果和为奇数则小明胜，和为偶数则小亮胜．
⑴ 用列表或画树状图等方法，列出小明和小亮抽得的数字之和所有可能出现的情况； ⑵请判断该游戏对双方是否公平，并说明理由．
A
C
B M
3、如图，台风中心位于点P，并沿东北方向PQ移动，已知台风移动的速度为30千米/时，
受影响区域的半径为200千米，B市位于点P的北偏东75°方向上，距离点P 320千米处.
(1) 说明本次台风会影响B市；（2）求这次台风影响B市的时间
.
4、写出如图中△ABC各顶点的坐标且求出此三角形的面积。

5、甲、乙两人沿相同的路线由A到B匀速行进，A、B两地间的距离为20km．他们行进的路
程s(km)与甲出发后的时间t(h)之间的函数图象如图所示．
（1）甲走完全程所用的时间为小时；（2）乙行走的速度为；
（3）当乙行走了多少时间，他们两人在途中相遇？
6. 已知：如图，⊙O 1与⊙O 2外切于A 点，直线l 与⊙O 1、⊙O 2分别切于B 、C 点，若⊙O 1的半径r=2cm ，⊙O 2的半径R=3cm 。

求：BC 的长。

l
7、如图，已知抛物线32++=bx ax y （a ≠0）与x 轴交于点A (1，0)和点B (－3，0)，与y 轴交于点C ．
(1) 求抛物线的解析式；
(2) 点D 的坐标为（－2，0）.问：直线AC 上是否存在点F ，使得△ODF 是等腰三角形？若存在，请直接写出所有符合条件的点F 的坐标；若不存在，请说明理由．
1、A rectangular garden in Mrs Dorothy's house has a length of 100 meters and a width of 50 meters. A square swimming pool is to be constructed inside the garden. Find the length of one side of the swimming pool if the remaining area (not occupied by the pool) is equal to one half the area of the rectangular garden.
2、At 11:00 a.m., John started driving along a highway at constant speed of 50 miles per hour. A quarter of an hour later, Jimmy started driving along the same highway in the same direction as John at the constant speed of 65 miles per hour. At what time will Jimmy catch up with John?
3、At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of books were sold and 2240 books of both types were unsold. How many books of each type were there at the start of the week?
4、Find the area of the quadrilateral shown in the figure.(NOTE: figure not drawn to scale)
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