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二年级下学期英语外研版（一起点）Module2 模块测试卷听力部分一、听音，标号。
( ) ( ) ( )( ) ( ) ( )二、听音，连线。
1. A.2. B.3. C.4. D.笔试部分一、读一读，选一选。
( ) 1. photo A. 图片 B. 照片 C. 邮票( ) 2. smile A. 微笑 B. 火车 C. 小的( ) 3. camera A. 报纸 B. 照相机 C. 收音机二、读一读，连一连。
(1) A. radio(2) B. camera(3) C. letter(4) D. newspaper(5) E. picture三、读一读，连一连。
(1) A. listen to the radio(2) B. read a newspaper(3) C. play football(4) D. play with a train(5) E. write a letter(6) F. draw a picture四、读一读，选一选。
( ) 1.A. I’m skiing.B. I’m swimming.( ) 2.A. We are playing with a dog.B. We are drawing a dog.( ) 3.A. He is listening to music.B. He is colouring the picture.( ) 4.A. He is reading a newspaper.B. He is doing his homework.五、读一读，连一连。
(1) This is my father. A.(2) This is my brother. B.(3) This is my sister. C.(4) This is my mother. D.(5) This is my grandpa. E.(6) This is my grandma. F.六、读一读，填一填。
外研版六年级英语上册1-2模块测试题D。
cat___________________________二、选择填空。
(20分)1.I usually go to work _____ bike.A。
___2.My sister is good _____ playing the piano.A。
___3.We are going to have a ic _____ Sunday.A。
___4.I _____ to the movies last night.A。
goB。
goesC。
wentD。
will go5.She _____ a book when I called her.A。
___ reading6._____ do you like to do in your free time?A。
___7._____ is your favorite color?A。
___8.I don't have _____ money to buy a new car.A。
___9.The weather is _____ today than yesterday.A。
______ _____ me a new computer for my birthday.A。
___11.She _____ to the ___.A。
goB。
goesC。
wentD。
will go12.He _____ his keys yesterday。
but he found them this morning.A。
___ lose13._____ is your father's job?A。
___14.I'm sorry。
I can't come to your party。
I _____ to study for an exam.A。
___ have15.My sister _____ to music every day.A。
四年级上学期英语一二模块测试题班级：姓名：成绩：二、选出不同类的一项。
(7分)( )1. A. up B. go C. down ( )2. A. school B. hill C. supermarket ( )3. A. yellow B. right C. left ( )4. A. watch B. talk C. these ( )5. A. picture B. talk C. take ( )6. A. China B. Amy C. Sam ( )7. A. writing B. read C. swimming 三、单项选择。
（30分）( )1. What you doing?A.amB. isC. are ( )2. I a student.A.amB. isC. are ( )3. She watching TV.A.amB. isC. are( )4. My little sister is playing her toy train.A. withB. toC. at ( )5. He is his mother.A. talkingB. talk toC. talking to( )6. ---What’s Amy doing?-- watching TV.A. He isB. She isC. They are ( )7. Look these pictures.A.atB. toC. up( )8. Lingling likes basketball.A. playB. playingC. played( )9. This my sister, Rose. She watching TV.A. is, areB. are, isC. is, is ( )10. The children playing football.A.amB. isC. are( )11. Now the train is the station.A.atB. onC. of ( )12. We have got a big .A. houseB. horsesC. houses ( )13. I’m music.A. listenB. listening toC. listening ( )14. He is pictures.A. takeB. takeingC. taking ( )15. We all like .A. runB. runingC. running 四、情景对话。
Module 2达标检测卷听力部分(30分)一、听录音，选出你所听到的单词。
(5分)( )1. A. tall B. talk C. taught( )2. A. foreign B. floor C. fox( )3. A. hard B. had C. head( )4. A. dance B. dancer C. down( )5. A. start B. star C. study二、听录音，推断图片与所听内容是(T)否(F)相符。
(10分)1. 2. 3. 4. 5.( ) ( ) ( ) ( ) ( ) 三、听录音，依据问句选择答句。
每小题听两遍。
（10分）( )1. A. He was a policeman. B. He is my grandpa.( )2. A. They are my parents. B. They were doctors.( )3. A. Yes，she is. B. No，he isn’t.( )4. A. She was a teacher. B. She is my mother.( )5. A. No，she didn’t. B. No，he didn’t.四、听短文，选择正确答案。
(10分)( ) 1. Mr and Mrs Smith live in _________.A. EnglandB. China( ) 2. Mrs Smith was a _________.A.teacherB. dancer( ) 3. Mr Smith _________ English.A. taughtB. learnt( ) 4. Mrs Smith _________ very well.A. taughtB. danced( ) 5. Yesterday Mrs Smith _________ a cake.A. madeB. ate笔试部分(70分)一、依据汉语提示，选择正确的字母补全单词.(10分)1.What did they s_________ yesterday morning?2.Sam studied very h_______ in our class.3.Chen Hai is an English t_________.4.My grandpa was a d_________.5.Now my grandpa doesn’t w_________.二、推断下列每组单词是(T)否(F)同类。
Module 1笔试部分一、选出与所给单词划线部分读音相同的一项：（10分）( )1．post A more B got C nose( )2．big A lie B million C he( )3．cousin A about B something C how( )4．map A apple B very C tell( )5．great A race B read C with二、英汉词组互译：（10分）Look at 2.something about the bird 3．a big map of America 4．在中国的东部5．一幅长城的图画6．一幅中国地图三、根据单词的首字母提示，补全句子：（10分）1．Daming is v America.2．It’s got eight m people.3．W a big map of America!4．Hainan is in the s of China.5．Beijing has got about fourteen million p .四、改错，把错词序号写在题前括号内，在后面横线上改正：（10分）（）1．He’s in New York and his cousin. 改为：A B C D（）2．I t’s a map about China. 改为：A B C D( ) 3．How a big map of China! 改为：A B C D（）4．The flag is got fifty stars. 改为：A B C D（）5．I t’s so a big country. 改为：A B C DModule 2笔试部分一、写出下列单词的适当形式：（12分）1．send (现在分词) 2．dance(动名词) 3．long(反义词) 4．big(反义词) 5．are(第三人称单数) 6．shop(复数)二、英汉互译：（12分）1．You do miss China.2．让我们现在去唐人街吧！3．给我的家人发送电子邮件4．There’s Chinese dancing.5．The Great Wall is very very long.6．There are lots of Chinese shops and restaurants there.三、改错：（10分）（）1．L et’s going to Chinatown now. 改为：A B C D( )2．Do you missing China now? 改为：A B C D( )3．I want go to Chinatown now. 改为：A B C D( )4．You must miss China. 改为：A B C D( )5．There is lots of shops there. 改为：A B C D四、写作：（16分）五、请用“There is…”或“There are”句型简单介绍一下你的学校。
数学第一、二章测试卷（120分钟）一、选择题1.以下元素的全体能组成集合的是（ ）A ．高一数学课本中的所有难题 B.与0相差很小的数 C ．所有不大于100的正整数 D.某班成绩好的学生 2.集合A ={x|a <x ≤b },用区间表示为（ ） A. (),a b B. [],a b C. [),a b D. (],a b3.已知集合(){}1,2A = {}1,2B = ()1,2C =,则下列命题正确的是 （ ）A. A B C ==B. A B C =≠C. A B C ≠≠D. A B C ≠= 4.已知3a b -=，2c d +=，则()()b c a d +--的值是（ ）A.-1B.1C.-5D.155.集合{}3,4,5,6A =,集合{}4,5,8,9B =,则A B ⋂=（ ） A. {}3,4,5,6,8,9 B. {}4,5C. ∅D. {}3,4,5,66.集合A=｛x |-1<x ≤3｝,集合B=｛x |1<x <5｝,则A ∪B （ ）A.｛x |-1<x <5｝B.｛x |3<x <5｝ c.｛x |-1<x <1｝ D.｛x |1<x ≤3｝ 7.若](34A =-，,[)25B =，,则为（ ） A. ()35-， B. (]34-， C. []24， D. [)25， 8.集合(){},|0A x y x y =+=，集合(){},|4B x y x y =-=，则A B ⋂（ ） A. {}2,2- B.(){}2,2- C. (){}2,2- D. ()2,2-9不等式240x x -≤的解集为（ ）A. (,0][4,)-∞⋃+∞B. [0,4]C. (,4][0,)-∞⋃+∞D. [4,0]-10.若全集{1,2,3,4,5}U =，{45}U C P =，,则集合P 也可以表示为（ ） *.{x N |4}A x ∈< *B.{x N |x 6}∈<*2.{x N |x 16}C ∈≤ *3D.{x N |16}x ∈≤11.设集合{x|x 2k 1,k Z}A ==+∈,B {x|x 4k 1,k Z}==+∈，求集 合A ，集合B 的关系（ ）.A A B ⊆ .B B A ⊆ .C B A ∈ .D A B = 12.下列集合不是空集的是（ ）22.{a |x 2ax 1a 0}A +-+=方程无解B.{x |1}=C.{}∅ 1.{x |0}D x= 二．填空题13.解方程组2226y x x y +=⎧⎨-=-⎩的解集为 。
Module2 模块测试卷听力部分一、听录音，选出你所听句子中含有的单词。
( ) 1. A. picnic B. time C. duck ( ) 2. A. rain B. snow C. sunny ( ) 3. A. lake B. eleven C. wet ( ) 4. A. hungry B. hurry C. lovely ( ) 5. A. Tuesday B. Thursday C. Friday 二、听录音，给下列图片排序。
( ) ( ) ( ) ( ) ( )三、听录音，将下列句子排序。
( ) When are we going to eat?( ) It’s a beautiful day.( ) The ducks are eating our picnic.( ) What are you going to do today?( ) We’re going to go to b ed and have a good night.四、听录音，选出与你所听句子不符的一项。
( ) 1. It’s going to rain soon.A B C( ) 2. We’re going to eat at half past twelve.A B C( ) 3. When are we going to go to the park?A B C( ) 4. These ducks are very noisy.A B C( ) 5. They’re very hungry.A B C笔试部分一、读一读，选出正确答案。
( ) 1. We _______ have a picnic this Sunday.A. am going toB. is going toC. are going to ( ) 2. --- _______are you going to have lunch?---At half past twelve.A. WhatB. WhereC. When( ) 3. ---_______?---It’s eleven o’clock now.A. When do you go homeB. What time do you go homeC. What time is it ( ) 4. It’s going to _______ soon.A. rainyB. rainC. rains( ) 5. Look! It’s_______. Let’s make a snowman.A. snowyB. snowC. snowing ( ) 6. We’re going to play football _______ half past four.A. inB. atC. on( ) 7. Are you going to _______ after dinner?A. play chessB. playing chessC. paly the chess ( ) 8. ---______ are you going to do?---I’m going to play basketball.A. WhenB. WhatC. Where二、根据图示完成句子。
职高英语（拓展模块）1-2单元测试题姓名分数一、语音知识从A,B,C,D四个选项中找出与所给单词划线部分读音相同的选项。
5分1. bottom A. stomach B. honestly C. collect D. comfortable2. rather A. engage B. Latin C. agree D. ask3. g esture A. ar g ue B. a g ree C. fin g er D. en g age4. carefree A. advice B. succeed C. nice D. succeed5. human A. understand B. rude C. but D. argue二、词汇与语法知识从A,B,C,D四个选项中，选择出可以填入空白处的最佳答案。
256. they started early they might arrive on time..A．to B. now that C. so that D. in order to7. We communicate with each other _____ language.A. use ofB. with the helpC. for instanceD. by means of8. You can _____choose an optimistic attitude____ choose a pessimistic attitude.A. or; eitherB. either ;orC. but; alsoD. and ;both9. I have ____ .A. nothing delicious to eatB. delicious nothing to eatC. eat nothing deliciousD. to eat delicious nothing10. He promised ___ his son to Tibet for sightseeing.A. takingB. to take C, take D. took11. We arrive at the airport late ___ the traffic jam.A. becauseB. because ofC. sinceD. as12. The children were ___ breath when they got to the top of the mountain.A. out ofB. inC. fromD. under13. They need to be tolerant different points of view.A. aboutB. forC. withD. of14. He pretended ____ everything about it, but in fact he knew nothing.A. to knowB. knowC. knowingD. known15. Every time she arrives home and sees her daughter, she will be ____.A. in good moodB. in a good moodC. in the good moodD. in better mood16. I have trouble in the text.A. understandB. understandingC. to understand D .understood17.These tools（工具）______ the fields.A. used to plough（犁地）B. are used to ploughC. used for ploughD. used to ploughing18. when someone sneezes, you should say:A. Excuse meB. God bless youC. Thank youD. I’m fine, thanks19. “Ok gesture” in Japan meansA. very goodB. moneyC. low tasteD. goodbye20.They will succeed in the exam.A. passingB. to passC. passD. passed21．The story is so that I am very in it..A. interesting ; interestedB. interesting; to interestC. interested ;to interestD. interested；interesting22 _____ the doctor, I’m well again..A. ThanksB. thank youC. Thanks toD. Thank to23.We all know oranges ___ vitamin C.A. are low onB. are poor inC. are rich inD. are high on24. Why not at once?A. to goB. wentC. will goD. go25. You’d better at once.A. to goB. wentC. will goD. go26.____ more attention，the trees could have grown better．A．Given B．To give C．Giving D．Having given27. Who is the man by the door?A. stoodB. to standC. standingD. stand28. from the space(太空)，the earth(地球) looks blue..A. seeB. to seeC. seeingD. seen29.He had his bike .A. repairB. to repairC. repairedD. repairing30. He saw his mother the clothes yesterday evening.A. washingB. to washC. washedD. wash三、完型填空money. Why? Because when money is spent, we can get it back. However, whenBut it is a pity that there are a lot of people who do not know the importance of the( ) 1. A. much B. less C. mush less D. even more( ) 2. A. cost B. bought C. gone D. finished( ) 3. A. return B. carry C. take D. bring( ) 4. A. what B. that C. because D. why( ) 5. A. money B. time C. day D. food( ) 6. A. nothing B. something C. anything D. everything( ) 7. A. reading B. writing C. playing D. working( ) 8. A. time B. food C. money D. life( ) 9. A. stop B. leave C. let D. give( ) 10.A. lose B. save C. spend D. take四、阅读理解AAn old man died and left his son a lot of money. But the son was a foolishyoung man, and he quickly spent all the money, so that soon he had nothing left. Of course, when that happened, all his friends left him. When he was quite poor and alone, he went to see Nasreddin, who was a kind, clever old man and often helped people when they had troubles. "My money has finished and my friends have gone,” said the young man. "What will happen to me now?""Don't worry, young man," answered Nasreddin. "Everything will soon be all right again. Wait and you will soon feel much happier." The young man was very glad. "Am I going to get rich a gain then?”He asked Nasreddin. "No, I didn't mean that," said the old man.” I meant that you would soon get used to being poor and to having no friends."( ) 41.An old man died and left his son_____.A. nothingB. some goldC. much moneyD. only a house( ) 42.When the son was_____ , he went to see Nasreddin.A. short of moneyB. quite poor and sickC. in troubleD. quite poor and alone( )43.The young man was very glad because Nasreddin said that____.A. he would become rich againB. he would soon feel much happierC. he would become cleverD. he would have more friends( ) 44.Nasreddin meant the young man______.A. would get rich againB. would get used to having nothingC. would get used to being in troubleD. would get out of poorness ( ) 45.What this story tells us is________.A. that money is everythingB. that money makes the mare goC. to save each pennyD. that misfortune tests the sincerity of friendsB.About 300 years ago man began to study the nature’s color. The famous English scientist, Issac Newton, did the experiments in 1665, which are even the basis for much of our knowledge of colors today. He found that when he passed a narrow beam of sunlight or “white light” through a prism(棱镜)，the white split into a colored beam. This colored beam was made up of violet, blue, green, indigo, yellow, orange and red. People called it a spectrum later.He also found that he could pass the color spectrum through another prism and produce white light. Thus, Newton first discovered that white light was a mixture of all the colors.46. When did man begin to study nature‘s colors?A. For 300 years.B. In 1700’s.C.300 years laterD. in 1970’s47. How many colors make up the colored beam that was called a spectrum?A. FiveB. SixC. SevenD. Eight48. Can you guess the meaning of the word “spectrum”?A. 光线B.光芒C.光缆D.光谱49. Which of the following titles can be best summarize the passage?A. Newton’s DiscoveryB. Nature’s ColorsC. How to use a prismD. What is color?50. Which of the following is not included in a white beam?A. Red b.B. BrownC. YellowD. Green五、词义搭配A B.51. hate A. method or way52. means B. dislike, be tired of53. nod C. informal talk54. conversation D. in the open air55. indeed E. move the head down and then up again to showagreement56. outdoors F. truly; really; certainly57. tolerant G. allowing people to do or say what they want towithout punishing them58.bottom H. impolite; showing no respect to sb.59 mood I state of one’s feelings or mind at a particular time60. rude J lowest part of sth.六、单词拼写1.Tom is a_____ (精力充沛的) young man2.He (假装) that he knows all the thing in the world.3.Why not ______(选择) the one we love and live happily.4.There came a _____ (可爱的) dog。
选修1-2模块综合测试（二）(时间120分钟满分150分)一、选择题(本大题共12小题，每小题5分，共60分)1．[2013·江西高考]已知集合M＝{1,2，z i}，i为虚数单位，N＝{3,4}，M∩N＝{4}，则复数z＝()A. －2iB. 2iC. －4iD. 4i解析：由M∩N＝{4}知4∈M，所以z i＝4，z＝－4i，选C.答案：C2．凡自然数是整数，4是自然数，所以4是整数，以上三段论推理()A. 正确B. 推理形式不正确C. 两个“自然数”概念不一样D. 两个“整数”概念不一致解析：此三段论中的大前提，小前提以及推理形式都是正确的，因此，此三段论推理是正确的，故选A.答案：A3．设两个变量x和y之间具有线性相关关系，它们的相关系数是r，y关于x的回归直线的斜率是b，纵轴上的截距是a，那么必有()A. b与r的符号相同B. a与r的符号相同C. b与r的符号相反D. a与r的符号相反解析：正相关时，b>0，r>0；负相关时，b<0，r<0，选A.答案：A4．勾股定理：在直角边长为a、b，斜边长为c的直角三角形中，有a2＋b2＝c2.类比勾股定理可得，在长、宽、高分别为p、q、r，体对角线长为d的长方体中，有()A. p＋q＋r＝dB. p2＋q2＋r2＝d2C. p3＋q3＋r3＝d3D. p2＋q2＋r2＋pq＋pr＋qr＝d2解析：类比即可．答案：B5．观察(x2)′＝2x，(x4)′＝4x3，(cos x)′＝－sin x，由归纳推理可得：若定义在R上的函数f(x)满足f(－x)＝f(x)，记g(x)为f(x)的导函数，则g(－x)等于()A. f(x)B. －f(x)C. g(x)D. －g(x)解析：由题知偶函数的导数为奇函数，选D.答案：D6．设z＝log2(m2－3m－3)＋ilog2(m－3)(m∈R)，若z对应的点在直线x－2y＋1＝0上，则m的值是()A．±15 B.15C．－15D．15解析：log2(m2－3m－3)－2log2(m－3)＋1＝0，log2m2－3m－3m－2＝－1，m2－3m－3m－2＝12，m＝±15，而m>3，m＝15.答案：B7．[2014·贵州六校联考]如图，x1，x2，x3为某次考试三个评阅人对同一道题的独立评分，p为该题的最终得分，得x1＝6，x2＝9，p＝9.5时，x3等于()A. 10B. 9C. 8D. 7解析：x1＝6，x2＝9，|x1－x2|＝3，|x3－6|<|x3－9|不成立，取x1＝x3⇒x3＋9＝9.5×2⇒x3＝10.答案：A8．[2013·安徽高考]设i是虚数单位，z是复数z的共轭复数．若z·z i＋2＝2z，则z＝()A. 1＋iB. 1－iC. －1＋iD. －1－i解析：设z ＝a ＋b i(a ，b ∈R )，则z ·z i ＋2＝(a ＋b i)·(a －b i)·i ＋2＝2＋(a 2＋b 2)i ，故2＝2a ，a 2＋b 2＝2b ，解得a ＝1，b ＝1.即z ＝1＋i.答案：A9．[2014·昆明调研]执行如图的程序框图，如果输入的N ＝10，那么输出的S ＝( )A. 109B. 169C. 95D. 2011解析：在程序执行过程中p ，S ，k 的值依次为p ＝0，S ＝0，k ＝1；p ＝1，S ＝1，k ＝2；p ＝3，S ＝43，k ＝3；p ＝6，S ＝32，k ＝4；p ＝10，S ＝85，k ＝5；…；p ＝36，S ＝169，k ＝9；p＝45，S ＝95，k ＝10.又N ＝10，k ＝N ，故程序结束，输出的S ＝95.答案：C10．定义复数的一种运算z 1]|z 1|＋|z 2|,2)(等式右边为普通运算)，若复数z ＝a ＋b i ，且正实数a ，b 满足a ＋b ＝3，则z *z 的最小值为( )A.92B.322 C.32D.94 解析：z *z ＝|z |＋|z |2＝2a 2＋b 22＝a 2＋b 2＝a ＋b2－2ab ，又∵ab ≤⎝⎛⎭⎫a ＋b 22＝94，∴－ab ≥－94，z *z ≥9－2×94＝92＝322. 答案：B11．按照下列三种化合物的结构式及分子式的规律，写出后一种化合物的分子式是( )A ．C 4H 9B ．C 4H 10 C ．C 4H 11D ．C 6H 12解析：后一种化合物应有4个C 和10个H ，所以分子式是C 4H 10. 答案：B12．对于定义在数集R 上的函数f (x )，如果存在实数x 0，使f (x 0)＝x 0，则x 0叫函数f (x )的一个不动点．已知f (x )＝x 2＋2ax ＋1不存在不动点，那么a 的取值范围是( )A. (－12，32)B. (－32，－12)C. (12，32) D. (－32，12)解析：因为f (x )＝x 2＋2ax ＋1不存在不动点，所以f (x )＝x 无实根．由x 2＋2ax ＋1＝x 得x 2＋(2a －1)x ＋1＝0，此方程若无实根，则Δ＝(2a －1)2－4<0，解得－12<a <32.答案：A二、填空题(本大题共4小题，每小题5分，共20分)13．已知线性回归直线方程是y ^＝a ^＋b ^x ，如果当x ＝3时，y 的估计值是17，x ＝8时，y 的估计值是22，那么回归直线方程为________．解析：首先把两组值代入回归直线方程得⎩⎪⎨⎪⎧3b ^ ＋a ^＝17，8b ^ ＋a ^ ＝22⇒⎩⎪⎨⎪⎧b ^＝1，a ^ ＝14.所以回归直线方程是y ^＝x ＋14.答案：y ^＝x ＋1414．如图所示是按照一定规律画出的一列“树型”图，设第n 个图有a n 个“树枝”，则a n ＋1与a n (n ≥2)之间的关系是________．解析：观察图1～5得：a 1＝1，a 2＝3，a 3＝7，a 4＝15，a 5＝31，由规律可得a n ＋1＝2a n＋1(n ≥2)．答案：a n ＋1＝2a n ＋1(n ≥2)15．读下面的流程图，当输入的值为－5时，输出的结果是________．解析：①A ＝－5<0，②A ＝－5＋2＝－3<0，③A ＝－3＋2＝－1<0，④A ＝－1＋2＝1>0，⑤A ＝2×1＝2.答案：216．若Rt △ABC 中两直角边为a 、b ，斜边c 上的高为h ，则1h 2＝1a 2＋1b 2，如右图，在正方体的一角上截取三棱锥P －ABC ，PO 为棱锥的高，记M ＝1PO 2，N ＝1P A 2＋1PB 2＋1PC 2，那么M 、N 的大小关系是__________．解析：在Rt △ABC 中，c 2＝a 2＋b 2①，由等面积法得ch ＝ab ，∴c 2·h 2＝a 2·b 2②，①÷②整理得1h 2＝1a 2＋1b2.类比得，S 2△ABC ＝S 2△P AB ＋S 2△PBC ＋S 2P AC ③，由等体积法得S △ABC ·PO ＝12P A ·PB ·PC ， ∴S 2△ABC ·PO 2＝14P A 2·PB 2·PC 2④，③÷④整理得M ＝N . 答案：M ＝N三、解答题(本大题共6小题，共70分)17．(10分)满足z ＋5z 是实数且z ＋3的实部与虚部是相反数的虚数z 是否存在？若存在，求出虚数z ；若不存在，请说明理由．解：设虚数z ＝x ＋y i(x ，y ∈R ，且y ≠0) z ＋5z ＝x ＋y i ＋5x ＋y i ＝x ＋5x x 2＋y 2＋(y －5y x 2＋y 2)i ， 由已知得⎩⎪⎨⎪⎧y －5y x 2＋y 2＝0，x ＋3＝－y .∵y ≠0，∴⎩⎪⎨⎪⎧ x 2＋y 2＝5，x ＋y ＝－3， 解得⎩⎪⎨⎪⎧x ＝－1，y ＝－2或⎩⎪⎨⎪⎧x ＝－2，y ＝－1.∴存在虚数z ＝－1－2i 或z ＝－2－i 满足以上条件． 18．(12分)已知函数f (x )＝a x ＋x －2x ＋1(a >1)．(1)证明函数f (x )在(－1，＋∞)上为增函数； (2)用反证法证明方程f (x )＝0没有负数根． 证明：(1)任取x 1，x 2∈(－1，＋∞)，不妨设x 1<x 2，则x 2－x 1>0，ax 2－x 1>1，且ax 1>0， ∴ax 2－ax 1＝ax 1(ax 2－x 1－1)>0. 又∵x 1＋1>0，x 2＋1>0， ∴x 2－2x 2＋1－x 1－2x 1＋1＝ x 2－x 1＋－x 1－x 2＋x 1＋x 2＋＝x 2－x 1x 1＋x 2＋1>0.于是f (x 2)－f (x 1)＝ax 2－ax 1＋x 2－2x 2＋1－x 1－2x 1＋1>0， 故函数f (x )在(－1，＋∞)上为增函数．(2)证法一：假设存在x 0<0(x 0≠－1)满足f (x 0)＝0， 则ax 0＝x 0－2x 0＋1，且0<ax 0<1，∴0<－x 0－2x 0＋1<1，即12<x 0<2.与假设x 0<0矛盾，故方程f (x )＝0没有负数根． 证法二：假设存在x 0<0(x 0≠－1)满足f (x 0)＝0. ①若－1<x 0<0，则x 0－2x 0＋1<－2,0<ax 0<1，∴f (x 0)<－1，与f (x 0)＝0矛盾； ②若x 0<－1，则x 0－2x 0＋1>0,0<ax 0<1，∴f (x 0)>0，与f (x 0)＝0矛盾． 故方程f (x )＝0没有负数根．19．(12分)设z 1＝1＋2a i ，z 2＝a －i(a ∈R )，已知A ＝{z ||z －z 1|≤2}，B ＝{z ||z －z 2|≤22}， A ∩B ＝∅，求a 的取值范围．解：∵集合A 、B 在复平面内对应的点是两个圆面，又A ∩B ＝∅，∴这两个圆外离． 所以|z 1－z 2|>32， 即|(1＋2a i)－(a －i)|>3 2.解之得a ∈(－∞，－2)∪⎝⎛⎭⎫85，＋∞.20．(12分)已知函数f (x )＝⎩⎪⎨⎪⎧2－x x ，2 x ＝，2＋x x ，设计一个输入x 值，输出y 值的流程图．解：流程图如图所示．21．(12分)为了调查胃病是否与生活规律有关，对某地540名40岁以上的人进行了调查，结果如下：生活规律有关系？解：根据公式得K 2的观测值 k ＝－280×460×220×320≈9.638>6.635，因此，在犯错误的概率不超过0.01的前提下，认为40岁以上的人患胃病与生活规律有关．22．(12分)某车间为了规定工时定额，需要确定加工零件所花费的时间，为此作了四次试验，得到的数据如下：(1)(2)求出y 关于x 的线性回归方程y ^＝b ^x ＋a ^，并在坐标系中画出回归直线； (3)试预测加工10个零件需要多少时间？(注：b ^＝∑i ＝1nx i y i －n x y∑i ＝1nx 2i －n x2，a ^＝y＝b ^x .)解：(1)散点图如图．(2)由表中数据得：∑i ＝14x i y i ＝52.5，x ＝3.5，y ＝3.5，∑i ＝14x 2i ＝54，∴b ^＝0.7.∴a ^＝1.05，∴y ^＝0.7x ＋1.05. 回归直线如图所示．(3)将x ＝10代入线性回归方程，得y ^＝0.7×10＋1.05＝8.05(小时)． ∴预测加工10个零件需要8.05小时．。
模块综合检测（一） Modules 1－2I •阅读理解（共15小题；每小题2分，满分30分）AIf you haven't played games with an 80- year- old couple，you're missingout.Each week，my best friend and I hang out with senior citizens.Volunteering at a retirement village provides us with a great opportunity to meet new people and enrich the lives of the people we meet.We have learned so much from talking with senior citizens，and we are blessed to have this opportunity to reach out to those in ourcommunity.Nothing is more rewarding than seeing the faces of the elderly light up when we walk into the room.Though my school only requires 10 community service hours，I have continued to volunteer throughout high school.While our 1 0- hour requirement is a good start，schools should require more volunteer hours.Volunteering offers students an irreplaceable way to help their communities and expand their knowledge of the world.Some believe that forcing students to volunteer is defeating the purpose of volunteering，becauseit's not volunteering if you are required to do it.However，sometimes students need an extra push to reach out to their communities.It's because some students don't know the benefits of volunteering.After they start volunteering，they'll realize that volunteering can benefit them a lot and they will want to volunteer more.Through volunteering，I've learned many valuable life skills.Besides teaching valuable life skills ，volunteering may lead to a part - time job opportunity as well.If students prove their reliability （可靠性） and hard work ethic while volunteering，employers may take that into consideration and offer them a job.My best friend got her summer job after volunteering several summers at the Boy Scout camp.There are various other benefits of volunteering.Besides making a difference in people's lives，students develop communication skills and acceptance of others.What's more，reaching out to others who are less fortunate teaches us to be grateful for whatwe have.All in all，volunteering is an extremely rewarding activity which should be required.【语篇解读】做志愿者工作对高中生很有帮助，高中生应该多做志愿者工作。
