2015年春期宛东五校高一年级联考
数学 试题
[]
说明:1、测试时间:120分钟 总分:150分
2、客观题涂在答题纸上,主观题答在答题纸的相应位置上
第Ⅰ卷 (60分)
一 选择题:(本大题共12小题,每小题5分,共60分.在每小题给出的四个选项中,只有一项是符合题目要求的)[]
1.已知是第二象限角,,则( )
A. B. C. D.[]
2.集合,,则有( )
A. B. C. D.
3.下列各组的两个向量共线的是( )
A. B.
C. D.
4. 已知向量a=(1,2),b=(x+1,-x),且a⊥b,则x=( )
A.2 B. C.1 D.0
5.在区间上随机取一个数,使的值介于到1之间的概率为
A. B. C. D.
6.为了得到函数的图象,只需把函数的图象
A.向左平移个单位 B.向左平移个单位
C.向右平移个单位 D.向右平移个单位
7.函数是( )
A.最小正周期为的奇函数 B.最小正周期为的偶函数
C.最小正周期为的奇函数 D.最小正周期为的偶函数
8.设,,,则 ( )
A. B. C. D.
9. 若f(x)=sin(2x+φ)为偶函数,则φ值可能是( )
A. B. C. D. π
10.已知函数的最大值为4,最小值为0,最小正周期为,直线是其图象的一条对称轴,则下列各式中符合条件的解析式是
A. B.
C. D.
11.已知函数 的定义域为,值域为,则的值不可能是( )
A. B. C. D.
12.函数的图象与曲线的所有交点的横坐标之和等于[]
A.2 B.3 C.4 D.6
第Ⅱ卷(非选择题,共60分)
二、填空题(每题5分,共20分)
13.已知向量设与的夹角为,则= .
14. 已知的值为
15.已知,则的值
16.函数f(x)=sin(2x-)的图像为C,如下结论中正确的是________(写出所有正确结论的编号).
①图像C关于直线x=π对称;②图像C关于点(π,0)对称;③函数f(x)在区间[-,π]内是增函数;④将y=sin2x的图像向右平移个单位可得到图像C.
三、解答题:(共6个题,满分70分,要求写出必要的推理、求解过程)
17. (本小题满分10分)已知.
(Ⅰ)求的值;
(Ⅱ)求的值.
18. (本小题满分12分)如图,点A,B是单位圆上的两点,A,B两点分别在第一、二象限,点C是圆与x轴正半轴的交点,△AOB是正三角形,若点A的坐标为(,),记∠COA=α.
(Ⅰ)求的值;
(Ⅱ)求cos∠COB的值.[来
19. (本小题满分12分)设向量a=(4cosα,sinα),b=(sinβ,4cosβ),c=(cosβ,-4sinβ),
(1)若a与b-2c垂直,求tan(α+β)的值;
(2)求|b+c|的最大值.
20. (本小题满分12分)函数f(x)=3sin的部分图像如图1 4所示.
(1)写出f(x)的最小正周期及图中x0,y0的值;
(2)求f(x)在区间上的最大值和最小值.
21.(本小题满分12分)已知向量的夹角为.
(1)求 ;(2)若,求的值.
22.(本小题满分12分)已知向量) .
函数
(1) 求的对称轴。
(2) 当时,求的最大值及对应的只dazhi值。
南阳市高一联考数学试卷参考答案
选择题答案
1-12 BCDCD ABDBD DC
填空
13 14 15 16
17解:(Ⅰ)
由,有, 解得 ………………5分
(Ⅱ)
………………………………………10分
18解:(Ⅰ)∵A的坐标为(,),根据三角函数的定义可知,sinα=,cosα=
∴==. …………………………………6分
(Ⅱ)∵△AOB为正三角形,∴∠AOB=60°.
∴cos∠COB=cos(α+60°)=cosαcos60°-sinαsin60°.=×-×=
…………………………………12分
19解 (1)b-2c=(sinβ-2cosβ,4cosβ+8sinβ),
又a与b-2c垂直,
∴4cosα(sinβ-2cosβ)+sinα(4cosβ+8sinβ)=0,
即4cosαsinβ-8cosαcosβ+4sinαcosβ+8sinαsinβ=0,
∴4sin(α+β)-8cos(α+β)=0,
得tan(α+β)=2.
(2)由b+c=(sinβ+cosβ,4cosβ-4sinβ),
∴|b+c|=
=,
当sin2β=-1时,|b+c|max==4.
20.解:(1)f(x)的最小正周期为π.
x0=,y0=3.
(2)因为x∈,所以2x+∈.
于是,当2x+=0,
即x=-时,f(x)取得最大值0;
当2x+=-,
即x=-时,f(x)取得最小值-3.
21.【答案】(1)-12;(2)
【解析】
试题分析:(1)由题意得,[]
∴
(2)∵,∴,
∴,∴,
∴
22.(12分)(1)………….1
………………………………….2
……………………………………….4
……………………7
(2)
………………………9
时的最大值为2…………………………………12本资料来自于资源最齐全的21世纪教育网www.21cnjy.com
2015春期宛东五校高一年级联考
英语 试题
第I卷
第一部分 听力(共两节,满分30分) (略)
第二部分 阅读理解(共两节,满分40分)
第一节(共15小题;每小题2分,满分30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,并在答题卡上将该项涂黑。
A
Eve was waiting in the corridor outside her class. She was feeling sick. She had two exams that day and physics was first. She really hated physics. It was her worst subject. Lisa looked back at her, and then looked away quickly. Eve thought she looked guilty. She didn't have a problem with physics. She didn't have a problem with anything... Miss Perfect! 21*cnjy*com
“Hi, Eve! So what's ( http: / / www.21cnjy.com )wrong with you and Lisa ” asked Tina, “I thought you were friends.” “Yes, so did I,” said Eve. “But she hasn't spoken to me for two weeks now. She promised to help me review for the physics exam too, but then she’s ignored all my calls and texts.” 【出处:21教育名师】
While in the exam, Ev ( http: / / www.21cnjy.com )e found Lisa was holding her phone on her knee under the table and reading from it. Eve couldn’t believe it! Is that how Lisa always got such good grades She thought about telling the teacher, but she hesitated. The next exam was history. That was Eve’s favorite subject but she couldn't concentrate. She didn't know what to do about Lisa. Just then, Mr. Reed, their teacher, walked past. “Mr. Reed…”【版权所有:21教育】
Lisa was called to the teachers’ office and there waited Mr. Reed…
The history test was over. Eve was walking towards the school gate when she heard footsteps behind her. It was Lisa. Eve could see that she had been crying. “Listen,” said Lisa. “I'm really sorry I haven’t answered your calls, but my dad had a heart attack two weeks ago and he’s in hospital. He had a big heart operation today and I was very worried about him. So I was reading texts from my mum, but Mr. Reed caught me. He thought I was cheating. He believes me now, but I have to take the exam again. I’m sorry I didn’t tell you what was happening. Will you forgive me ”
21. The reason for Eve’s feeling sick is most probably that _______.
A. she found Lisa ( http: / / www.21cnjy.com )was looking back at her B. she had to take two exams within one day
C. she was ( http: / / www.21cnjy.com ) worried about the physics exam D. she had been waiting for too long a time
22. Lisa didn't help Eve review for the physics exam because _______.
A. she had to lo ( http: / / www.21cnjy.com )ok after her sick father B. she herself was quite bad at physics
C. she didn't ( http: / / www.21cnjy.com )consider Eve as a true friend D. she was selfish and hated to waste time
23. At the end of the story Eve probably felt _______.21cnjy.com
A. confident and optimistic B. regretful and sorry
C. sad and angry D. glad and inspired
24. What lesson can we learn from this passage
A. A friend in ( http: / / www.21cnjy.com ) need is a friend indeed. B. A life without a friend is a life without sun.
C. Old friends and ( http: / / www.21cnjy.com )old wines are the best. D. Friendship should be based on trust.
B
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Regular Hours: 10: 00 am to 5: 30 pm
Extended Hours: 10: 00 am to 7: 30 pm
December 26—30, 2014.
March 30—April 20, 2015.
Fridays and Saturdays, April 24—May 16, 2015.
May 17—September 7, 2015.
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Please Take Photos: ( http: / / www.21cnjy.com ) You are welcome to take photos for personal use. However, tripods and monopods (单脚架) are not permitted without approval.
First Aid: The Mu ( http: / / www.21cnjy.com )seum has a First Aid office and a nurse on duty. Please contact the
nearest security officer or the Welcome Center for assistance.
Visit the Welcome Center:
At our Welcome Cente ( http: / / www.21cnjy.com )r in the South Lobby, staff and volunteers can answer any questions you have during your visit.
Open 10: 00 am to 5: 30 pm
Phone: 202-633-2214
E-mail: NASM-Visitor Services@ si.edu
25. According to t ( http: / / www.21cnjy.com )he passage, the National Air and Space Museum is a museum _______.
A. where only adults can take part in activities
B. which anyone can visit without buying tickets
C. where one can touch anything that he likes
D. which anyone can visit without time limits
26. If you plan to ( http: / / www.21cnjy.com )visit the Museum at 6: 00 pm, it is possible on _______.
A. December 24, 2014 B. March 1, 2015
C. July 6, 2015 D. September 15, 2015
27. The purpose of this passage is to _______.
A. make an adve ( http: / / www.21cnjy.com )rtisement for the museum B. encourage adults to bring their children there
C. show what is on ( http: / / www.21cnjy.com )display in the museum D. attract people to explore the universe
C
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In the 1960s and 1970s, hippies made bell-bottomed blue jeans popular. In the 1980s, Michael Jackson made parachute pants all the fashion. Now try to find these items in today’s clothing stores!
Why do fashio ( http: / / www.21cnjy.com )ns change The answer is probably as simple as the fact that people change. Over time, the new replaces the old. People are influenced greatly by popular culture, including athletes, musicians, movie stars, as well as popular films, televisions shows, books and music. We are also influenced by the fashion industry’s advertising.
The stars of popular culture are always searching for a new angle to maintain (保持) their popularity. Often these new angles come in the form of new clothing or hairstyles. When people see these new styles, they often want to imitate their favorite stars. To do so, they seek out the latest fashions to make themselves look like the people they want to imitate. In this way, fashions evolve and change over time.
For years, clothes ( http: / / www.21cnjy.com ) have been used to separate people into groups. Even today, brand-name clothing that is more expensive than other types of clothing can be used by some people to distinguish themselves from others. Unfortunately, this can often have the effect of distancing certain groups from others.
Don’t forget that i ( http: / / www.21cnjy.com )t’s always OK to develop your own sense of style that is unique and separate from what the fashion world determines! Stay true to yourself and let your personality — not your clothes — speak for who you are.
28. The examples of ( http: / / www.21cnjy.com )bell-bottomed blue jeans and parachute pants in Paragraph 3 are used to show that _______.
A. people often have different dressing styles
B. trends of fashion are changing all the time
C. people are always affected greatly by the stars
D. hippies and Michael Jackson are good designers
29. Fashion change mainly because _______.
A. new films and shows ( http: / / www.21cnjy.com ) replace the old B. movie stars are changing over time
C. popular culture ( http: / / www.21cnjy.com ) influences people D. advertisements change rapidly
30. We can learn from the text that _______.
A. clothes may separate and distance people
B. people like imitating others’ dressing style
C. the author has clearly gone out of fashion
D. fashion is all about clothes people wear
31. In the last paragraph, the author mainly wants to stress _______.
A. the advantages of staying unique and separate
B. the bad effects of following fashions and styles
C. the good benefits of popular styles to people
D. the importance of having one’s own personality
D
Darek Fidyka, a 38-year-old Bulgarian, had been paralyzed (瘫痪的) from the chest down for four years after a knife attack. Scientists from Britain and Poland took cells from his nose, transplanted (移植) them into his back and re-grew his spinal cord (脊髓). Now he can walk and even drive a car. The doctors were delighted but said it was the first step in a long journey.
The breakthrough ca ( http: / / www.21cnjy.com )me after 40 years of research by Professor Geoff Raisman, who found that cells had the possibility to repair damage to nasal (鼻腔的) nerves, the only part of the nervous system that constantly re-grows. “The idea was to take something from an area where the nervous system can repair itself and put it into an area that doesn’t repair itself,” Professor Raisman said.
Polish doctors inje ( http: / / www.21cnjy.com )cted (注射) the nasal cells into Mr Fidyka’s spinal cord above the injury and used some nerves from his ankle to form a bridge across the damaged tissue. The nasal cells appear to have caused the spinal nerves to repair themselves.
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32. Why did Professor Geoff Raisman choose cells from the nose
A. The nervous system in the nose can repair itself.
B. Cells from the nose can be easily transplanted.21*cnjy*com
C. The nervous system in the nose has more cells.
D. Cells in the nose are able to re-produce rapidly.
33. How did the operation work for Darek Fidyka
A. The nervous system in the spinal nerves can repair itself.21世纪教育网
B. The nerves from his ankle cured the patient of the injury.
C. The nasal cells re-produced and spread over very quickly.
D. The nasal cells helped the spinal nerves to repair themselves.
34. What made ( http: / / www.21cnjy.com ) Professor Geoff Raisman begin to believe the nervous system can be repaired
A. His former study w ( http: / / www.21cnjy.com )ith other people. B. His operation on a paralyzed patient.【来源:21cnj*y.co*m】
C. His sudden thought ( http: / / www.21cnjy.com )about Christmas. D. His unusual experience with a sick rat.
35. David Nicholls’ words suggest that _______.
A. the world will become a better and brighter place
B. paralyzed people of today have the hope of recovery
C. the report of the breakthrough will be published soon
D. researchers across ( http: / / www.21cnjy.com )the world will carry out the operation21世纪教育网
第二节(共5小题;每小题2分,满分10分)
根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。
For millions o ( http: / / www.21cnjy.com )f years, coral reefs(珊瑚礁)have provided homes and food for thousands of different living things. Fish and sea birds share the reef with other creatures. Now these beautiful places are in danger. 36 Scientists have found that more than one-fourth of the earth’s coral reefs have been ruined so far. Another quarter will disappear in ten years’ time. Unless things change, all of the remaining reefs may die within your lifetime.
Some people thin ( http: / / www.21cnjy.com )k that coral is stone because of its rough(粗糙的), hard surface. But coral is an animal. Tiny polyps(水螅体)form the coral reefs. 37 These colors come from the algae(海藻)living inside the coral. Billions of coral polyps stick together. New ones grow on the dead ones. This happens year after year. Over time, the coral builds up a reef. The reef rises from the ocean floor until it almost reaches the sea’s surface. It takes coral 500,000 years to build a huge reef. 38
The coral reefs have been harmed mainly in three ways. The first factor is pollution on land. The pollutants run with rainwater into streams and rivers, which carry the poisons into the ocean. 39 So they will be easily infected with diseases. Another cause is people. People have broken off pieces of coral, which they want to sell or keep as souvenirs. People have dropped sticks of dynamite(炸药)into the water to catch more fish. The worst problem is the heating up of the oceans. Higher ocean temperatures kill the important food source for the coral—the algae, the tiny greenish-gold water plants that live on coral. 40 The coral turns white and dies. Scientists call this coral bleaching(珊瑚白化). The bleached part of the coral reef cannot recover.
A. They come in many different colors.
B. However, humans have taken less than 100 years to destroy it.
C. This has blown up parts of the reefs.
D. When the algae die, the coral loses both its food and its color.
E. So are all the sea plants and animals that depend on them.
F. Chemicals from the poisons kill reefs or make them weak.
G. Many of them might not even last that long!
21世纪教育网
第三部分 英语知识运用(共两节,满分45分)
第一节 完形填空(共20小题;每小题1.5分,满分30分)
阅读下面短文,从短文后各题所给的四个选项(A、B、C和D)中,选出可以填入空白处的最佳选项,并在答题卡上将该项涂黑。21·世纪*教育网
Most people agree tha ( http: / / www.21cnjy.com )t a pet adds joy to a person’s life. Scientists are now finding that having a pet may keep its owner 41 . And good health may add years to a person’s life.
Scientists have be ( http: / / www.21cnjy.com )en 42 the tie between pets and health for years. In 1990, a study was done with people aged 65 and older. It 43 that pet owners went to the doctor less than people __44 pets. Do pets make people 45 Are people able to handle their everyday lives better Alan Beck, who is a researcher, says that 46 the answer to the questions is yes, then having pets may be a good idea.
Can pets also he ( http: / / www.21cnjy.com )lp people live longer Rebecca Johnson did a study to 47 . Johnson teaches nurses how to care for 48 people. Her study shows that having pets may cause people to 49 more slowly.
The human body m ( http: / / www.21cnjy.com )akes many chemicals. Some of the chemicals make people feel 50 . Others make people feel bad. In Johnson’s 51 , levels of the “good” chemicals 52 when people were around pets while levels of the “bad” chemicals went down. The good 53__ seemed to slow the aging of cells. If this is 54 , maybe people should spend more time with their 55 . Then people might feel better and 56 longer.
You might be allerg ( http: / / www.21cnjy.com )ic(过敏的) to pets. Or you may not want to 57 a pet. Never fear. A robotic, or computer pet may be just the thing for you.
Scientists are te ( http: / / www.21cnjy.com )sting computer pets, like the robotic dog AIBO. They want to see if 58__ pets can help people the way 59 dogs do.
Will a robotic pet ( http: / / www.21cnjy.com ) 60 the real pet sitting with you on the sofa Something tells us that it will probably become a reality. 21世纪教育网
41. A. healthy B. excited C. mad D. hurried
42. A. carrying ou ( http: / / www.21cnjy.com )t B. making up C. looking at D. breaking down
43. A. warned B. showed C. reminded D. advisedwww-2-1-cnjy-com
44. A. through B. beyond C. against D. without
45. A. busier B. funnier C. happier D. angrier
46. A. though B. until C. if D. unless
47. A. find out B. put out C. turn out D. set out
48. A. sick B. friendly C. old D. lovely
49. A. age B. move C. walk D. grow
50. A. bored B. surprised C. sleepy D. good
51. A. study B. work C. story D. case
52. A. changed B. varied C. fell D. rose
53. A. sides B. chemicals C. studies D. dogs21·cn·jy·com
54. A. important B. unusual C. true D. impossible
55. A. children B. pets C. friends D. neighbors
56. A. live B. wander C. stay D. travel
57. A. head for B. search for C. cheer for D. care for
58. A. family B. computer C. baby D. toy21教育名师原创作品
59. A. brave B. quiet C. faithful D. real
60. A. destroy B. replace C. improve D. accompany
第II卷
第三部分 英语知识运用(共两节,满分45分)[21世纪教育网]
第二节(共10小题;每小题1.5分,满分15分)
阅读下列材料,在空白处填入适当的内容(1个单词)或括号内单词的正确形式。
He is the ma ( http: / / www.21cnjy.com )n who for many people has been a role model. Now your biggest hero deserves a special day 61 you can express your thanks and let him know how much 62__ (important) he is to you than any other model.
The idea of Fathe ( http: / / www.21cnjy.com )r’s Day came from 63 American woman called Sonara Smart Dodd in 1909. Dodd wanted a special day 64 (honor) her father. He raised six children by 65__ after his wife died. Dodd thought there needed to be a day to honor loving dads.
The first Fa ( http: / / www.21cnjy.com )ther’s Day 66 (celebrate) on June 19, 1910. In 1924, U.S. President Calvin Coolidge supported the idea of a 67 (nation) Father’s Day. Finally, in 1996, President Lyndon Johnson declared the third Sunday of June as Father’s Day.
The third Sunday ( http: / / www.21cnjy.com )of June—which 68 (fall) on June 21, 2015—is Father’s Day. Here are some ways to show your love and respect:
* Send him a 69 (greet) card. Fathers prefer cards which are not too emotional. So choose one that will make him laugh.
* If he has a com ( http: / / www.21cnjy.com )puter, cover his desktop 70 words like “I Love you Dad”.
* A small pre ( http: / / www.21cnjy.com )sent, such as a framed photo of your family, can make him feel like a king.
第四部分 写作(共两节;满分35分)
第一节 短文改错(共10小题;每小题1分,满分10分)
假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。文中共
有10处语言错误,每句中最多有两处。错误仅涉及一个单词的增加、删除或修改。
增加:在缺词处加一个漏字符号(),并在其下面写出该加的词。
删除:把多余的词用(\)划掉。
修改:在错的词下画一横线,并在该词下面写出修改后的词。
注意:1. 每处错误及其修改均仅限一词;
2. 只允许修改10处,多者(从第11处起)不计分。
Jim is a Austra ( http: / / www.21cnjy.com )lian boy who has been lived in our city for over two years. I still remember the morning when he came into our class, wear a cap and a pair of sunglasses. He waved to us with grace and introduce himself with a sweet smile, which made us to feel pleased. We gave him a warm welcome. And immediate Jim became our great friend. 【来源:21·世纪·教育·网】
Now Jim and we play to ( http: / / www.21cnjy.com )gether, chat with each other and gather picnics. Also, we ride bikes in the country or enjoy hike in the mountains. Sometimes we play ball game on the playground. Jim likes it here and often says it is like being at home. But that is what we wish.
第二节 书面表达(25分)
假定你是班长李华,请根据以下内容给新任外教Smith先生写一封信, 向他表示欢迎并转达同学们对英语课的希望:
1. 介绍西方文化;
2. 组织多样活动;
3. 关注学生发音, 提高听说能力。
注意:
1.词数100左右;
2.可以适当增加细节,以使行文连贯;
3.开头已为你写好。
2015年春期宛东五校高一年级联考
英语试题答案
阅读(2分) : CABD/ BCA/ BCAD/ ADDB/ EABFD
完形(1.5分): ACBDC/ CACAD/ ADBCB/ ADBDB
语法填空(1.5分):when/more important/an/to honor(honour)/himself/21世纪教育网版权所有
was celebrated/national/will fall(falls)/greeting/with2·1·c·n·j·y
短文改错(1分) :
Jim is a Australia ( http: / / www.21cnjy.com )n boy who has been lived in our city for over two years. I still
an living(been)
remember the ( http: / / www.21cnjy.com ) morning when he came into our class, wear a cap and a pair of
wearing
sunglasses. ( http: / / www.21cnjy.com )He waved to us with grace and introduce himself with a sweet smile,
introduced
which made us to f ( http: / / www.21cnjy.com )eel pleased. We gave him a warm welcome. And immediate Jim
去掉to immediately
became our great friend.
Now Jim and we play ( http: / / www.21cnjy.com ) together, chat with each other and gather∧picnics. Also, we ride
for
bikes in the country ( http: / / www.21cnjy.com ) or enjoy hike in the mountains. Sometimes we play ball game on the
hiking games
playground. Jim oft ( http: / / www.21cnjy.com )en says it is like being at home. But that is what we wish.2-1-c-n-j-y
And
书面表达(25分)One possible version
Dear Mr. Smith,
I’m writing on behalf ( http: / / www.21cnjy.com )of my class to extend our warm welcome to you. Here are some of our expectations for your English class.
First, we’d like to have topics in class about Western culture. We are all very interested in knowing more about the culture behind the language. Besides, we’d appreciate various activities to get everyone involved and to make classes interesting. Last but not least, please give us some guidance and training in our pronunciation, because we think we are weak in it. And we are all eager to have our listening and speaking abilities improved. We hope that we are able to speak English fluently and clearly just as you native speakers do.
Thank you very much. We are looking forward to meeting you soon!
Yours truly,
Li Hua
英语试题说明
王守方
各位领导, 各位老师, 各位同学, 大家好!
随着国家的发展, 外语变得越来越重要。但是, 外语在高考中好像要被弱化。
我觉得, 对于立志考取一本的同学来说, 外语的分量仍然很重。
同时, 考试的改革势在必行。但不管怎么改, 对任何语言来说, 听说读写是根本。
基于以上考虑, 我加大了阅读和写作的难度, 减小了其它三题的难度。 同时, 考虑到不同基础的同学, 我加长了难度的梯度。
由于时间紧, 原创题较少。同时水平所限, 错误和不足在所难免, 请各位指正。谢谢!
一、阅读
阅读A, 难度小, 阅读B, 难度适中, 阅读C难度较大, 阅读D难度偏大, 7选5难度适中
二、完形
难度适中
三、语法填空
难度较小, 侧重基础和核心语法。
考察: 61小题定语从句, 62小题形容词的比较级, 64小题不定式,
66小题被动语态, 69小题动名词
四、短文改错
难度较小, 侧重基础和核心语法。
考察: 1. 现在完成时或现在完成进行时(has lived or has been living)/21教育网
2. 现在分词做伴随状语wearing
3. 不带to的不定式 to
4. 动名词做宾语hiking
附: 必修3 & 必修4的语法条目
必修3: 定语从句/形容词的比较级/静态动词和动态动词/现在完成时和现在完成进行时
必修4: 部分不定代词/不定式/被动语态/动名词/现在分词
五、书面表达
难度较大。采用实用文体---书信。
。。。
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