绍兴文理学院2017 学年第 1 学期期中考试
浙江绍兴一中学年高二上期中考试英语试卷解析版
浙江绍兴一中2016-2017学年高二上期中考试英语试卷(解析版)一、阅读理解1、阅读理解According to body language expert Robert Phipps, the way people sleep at night actually determines a lot about the type of personality they have. Phipps has identified four sleeping positions that affect personality.Phipps found that worriers, those who stress the most, tend to sleep in the fetal (胎儿的) position. He found that this is the most common bedtime position, with nearly 58 percent of people sleeping on their side with knees up and head down. The more we curl up (蜷曲), the more comfort we are seeking, according to Phipps.The second most common position is the log. Sleeping with a straight body, with arms at each side, as if they are standing guard at Buckingham Palace, indicates stubbornness, and these people (the 28 percent who sleep this way) often wake up stiffer than when they went to sleep.“The longer you sleep like this, the more rigid your thinking is and you can become inflexible, which means you make things harder for yourself,” according to Phipps.Yearner (向往) sleepers are next on the list. About 25 percent of people sleep in this style—on their side with arms stretched out in front, looking as if they are either chasing a dream or perhaps being chased themselves. Yearners are typically their own worst critics, always expecting the best results, explained Phipps. These people often wake up refreshed and eager to face the challenges of the day ahead.Perhaps the most peculiar (奇怪的) of sleep styles is the freefaller position. This sleep style makes up 17 percent of the population. They sleep face down with arms stretched out. These people, according to Phipps, feel like they have little control over their life. Not only is this the strangest of sleep styles, but also the least comfortable, and people may wake up feeling tired and have no energy.Inconclusion, Phipps has only one more thing to add: “A good night's sleep set you up for the following day and our sleeping positions can determine how we feel when we wake.”根据短文内容,选择最佳答案,并将选定答案的字母标号填在题前括号内。
2017届浙江省绍兴一中高三上学期期中考试文科数学试题
绍兴一中 高三期中考试数学试卷(文)一、选择题:本大题共10小题,每小题3分,共30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.设全集U=R ,A=⎭⎬⎫⎩⎨⎧+-=x x y x 212,B=⎭⎬⎫⎩⎨⎧+-=112x y y , 则右图中阴影部分表示的集合为 ( )A .{|1}x x ≥B .{|12}x x ≤<C .{|01}x x <≤D .{|1}x x ≤2.a+b=0是a b=1-成立的 条件( )A .充要B .充分不必要C .必要不充分D . 既不充分也不必要3.已知函数()210,1lg ,1x x f x x x ⎧+<=⎨≥⎩,记()()x f x f =1,()()()x f f x f 12=,()()()x f f x f 23=, ,则()=102014f( )A .10B .lg110C .0D .14.设等比数列{a n }的前n 项和为S n ,若S 10:S 5=1:2,则=-++51015105S S S S S ( )A. 27B. 27-C. 29D. 29-5.已知正数x 、y 满足⎩⎨⎧≥+-≤-05302y x y x ,则xy z 2313⎪⎭⎫⎝⎛=-的最小值为( )A. 91 B.271 C.811D. 16.已知双曲线]2,2[)0,0(12222∈>>=-e b a by a x 的离心率,则一条渐近线与实轴所成角的取值范围是( )A .⎥⎦⎤⎢⎣⎡4,6ππ B .⎥⎦⎤⎢⎣⎡3,6ππ C .⎥⎦⎤⎢⎣⎡3,4ππD . ⎥⎦⎤⎢⎣⎡2,3ππ 7.下列命题中,真命题为( )A .终边在y 轴上的角的集合是⎭⎬⎫⎩⎨⎧∈=Z k k a a ,2|π; B .在同一直角坐标系中,函数x y sin =的图象和函数x y =的图象有三个公共点;C .把函数)32sin(π+=x y 的图象向右平移6π个单位得到x y 2sin =的图象D .函数)2sin(π-=x y 在],0[π上是减函数。
浙江省绍兴一中2016-2017学年高一上学期期中考试物理试题 含答案
绍兴一中2016-2017学年第一学期期中考试高一物理试卷命题:胡建国校对:祝智浩选择题部分一、选择题I(本题共11小题,每小题3分,共33分.每小题列出的四个备选项中只有一个是符合题目要求的,不选、多选、错选均不得分)1.以下物理量不属于矢量的是A.时间B.速度C.加速度D.力2.刻舟求剑的故事家喻户晓,“舟已行矣,而剑不行”这句话所选用的参考系是A.舟B.地面C.舟上的人D.流动的水3.2016年10月27日,绍兴一中迎来了秋季运动会,高一新生也在各个比赛项目中展现了较高的竞技水平.下列有关校运会的各个说法中正确的是A.研究俞睿同学跳过1.49m横杆的跨越式动作时,能把他看作质点B.跳远冠军张杰的成绩是5。
42m,这是他跳跃过程中的路程C.在400m决赛中,李贺同学在第一道,他跑完全程的位移为400m D.在3000米比赛中,何瑞达同学的成绩是12分08秒,这个成绩是指他运动的时间间隔4.浙江在线10月3日讯:台风“鲇鱼”前脚刚走,“暹芭"紧跟而来。
据气象部门报告,今年第18号台风“暹芭"今天8时中心位于温州东南方向约1450公里的洋面上,中心最大风力16级(52米/秒),中心气压935百帕.预计“暹芭"将以每小时25公里的速度向西北方向移动,强度继续加强……报道中的两个速度数值分别是指A.瞬时速度、平均速度B.平均速度、瞬时速度C.平均速度、平均速度D.瞬时速度、瞬时速度5.下列说法正确的是A.甲打乙一拳,乙感到痛,而甲未感到痛,说明甲对乙施加了力,而乙未对甲施加力B.“风吹草动”,草受到了力,但没有施力物体,说明没有施力物体的力也是存在的C.磁铁吸引铁钉时,磁铁不需要与铁钉接触,说明力可以脱离物体而存在D.网球运动员用力击球,网球受力飞出后,网球受力的施力物体不再是球拍6.如图所示,“马踏飞燕”是汉代艺术家高度智慧、丰富想像、浪漫主义精神和高超的艺术技巧的结晶,是我国古代雕塑艺术的稀世之宝,飞奔的骏马之所以能用一只蹄稳稳地踏在飞燕上,是因为A.马跑得快的缘故B.马蹄大的缘故C.马的重心在飞燕上D.马的重心位置与飞燕在一条竖直线上7.下列表述中符合实际情况的是A.小强正常步行的速度约为11m/sB.小张手持一个鸡蛋,手对鸡蛋作用力约为0。
【百强校】2016-2017学年浙江绍兴一中高二上期中考试英语试卷(带解析)
试卷第1页,共9页绝密★启用前【百强校】2016-2017学年浙江绍兴一中高二上期中考试英语试卷(带解析)试卷副标题考试范围:xxx ;考试时间:21分钟;命题人:xxx学校:___________姓名:___________班级:___________考号:___________注意事项.1.答题前填写好自己的姓名、班级、考号等信息 2.请将答案正确填写在答题卡上第I 卷(选择题)一、阅读理解(题型注释)Science has a lot of uses. It can reveal (揭示) laws of nature, cure diseases, make bombs, and help bridges to stand up. Indeed science is so good at what it does that there’s always a temptation (诱惑) to drag it into problems where it may not be helpful. David Brooks, author of The Social Animal, The Hidden Sources of Love, Character, and Achievement , appears to be the latest in a long line of writers who have failed to resist the temptation.Brooks gained fame for several books. His latest book The Social Animal , however, is more ambitious and serious than his earlier books. It is an attempt to deal with a set of weighty topics. The book focuses on big questions: What has science revealed about human nature? What are the sources of character? And why are some people happy and successful while others aren’t? To answer these questions, Brooks surveys a wide range of subjects. Because of this, you might expect the book to cover a variety of facts. But Brooks has structured his book in an unusual, and perhaps unfortunate way. Instead of introducing scientific theories, he tells a story, within which he tries to make his points, perhaps in order to keep the reader’s attention. So as Harold试卷第2页,共9页and Erica, the hero and heroine in his story, live through childhood, we hear about the science of child development and as they begin to date we hear about the theory of sexual attraction. Brooks carries this through to the death of one of his characters.On the whole, Brooks’s story is acceptable if uninspired. As one would expec t, his writing is mostly clear and, to be fair, some chapters stand out above the rest. I enjoyed, for instance, the chapter in which Harold discovers how to think on his own. While Harold and Erica are certainly not strong characters, the more serious problems with The Social Animal lie elsewhere. These problems partly involve Brooks’s attempt to translate his tale into science.1、The author mentions the functions of science at the beginning of the passage to ________. A .show the value of Brooks’s new book B .show where science can be appliedC .remind the reader of the importance of scienceD .explain why many writers use science in their works2、According to the author, which of the following could be a strength of the book? A .Its clear writing. B .Its convincing points. C .Its strong characters. D .Its strong basis.3、What is the author’s general attitude towards the book? A .Cautious. B .Critical.C .Contradictory(矛盾的).D .Supportive.Our room was on the second floor but you could still hear the roar of the ocean and see the stars at night. I used to take long walks along the water. The food in town was wonderful and the people were very friendly. The area was very quiet and peaceful, and fairly deserted. The last evening of our vacation, however, we all heard strange footsteps following closely behind us as we were walking up to our room in the holiday centre. We turned around and noticed a fairly young man moving very rapidly across the beach and getting closer to us. He was tall and wore a baseball cap. We could n’t see his face and he was approaching us very rapidly. The man’s actions made my dad very nervous. Dad warned us that we’d better try to试卷第3页,共9页make it to our hotel room as quickly as possible. I didn’t like my dad’s voice; I could hear fear in it. It was late and we were all alone. We didn’t have any cell phones on us. I never saw Dad as worried as he was then and I knew that something was terribly wrong. The sense of fear started to overwhelm Mom and me. We had had such a good time in town. Now, the night was rapidly turning into a dangerous situation.We could hear the man’s footsteps getting closer. Dad’s face was almost pale. The so -called intruder (侵入者) had moved nearer and nearer when all of a sudden, the nearby vending (自动贩卖) machine started going crazy and spitting out cans of soda! The noise actually scared the intruder and he ran out of sight. My parents were shaking, but we all turned around to see who had put money into the vending machine downstairs, and actually saved us, but no one was around at all. Not a soul.It’s one vacation I will never forget. 4、Where did the author spend her vacation?A .Near a lake.B .At the seaside.C .In a village.D .In a mountain. 5、What does the underlined word “overwhelm” in Paragraph 2 mean? A .move. B .impress. C .control. D .excite. 6、What helped them get out of the trouble? A .Their quick action. B .Other people’s kind he lp. C .The young man’s warning.D .The noise from the vending machine.According to body language expert Robert Phipps, the way people sleep at night actually determines a lot about the type of personality they have. Phipps has identified four sleeping positions that affect personality.Phipps found that worriers, those who stress the most, tend to sleep in the fetal (胎儿的) position. He found that this is the most common bedtime position, with nearly 58 percent of people sleeping on their side with knees up and head down. The more we curl up (蜷曲), the more comfort we are seeking, according to Phipps.The second most common position is the log. Sleeping with a straight body, with arms at each side, as if they are standing guard at Buckingham Palace, indicates stubbornness, and these试卷第4页,共9页people (the 28 percent who sleep this way) often wake up stiffer than when they went to sleep. “The longer you sleep like this, the more rigid your thinking is and you can become inflexible, which means you make things harder for you rself,” according to Phipps.Yearner (向往) sleepers are next on the list. About 25 percent of people sleep in this style —on their side with arms stretched out in front, looking as if they are either chasing a dream or perhaps being chased themselves. Yearners are typically their own worst critics, always expecting the best results, explained Phipps. These people often wake up refreshed and eager to face the challenges of the day ahead.Perhaps the most peculiar (奇怪的) of sleep styles is the freefaller position. This sleep style makes up 17 percent of the population. They sleep face down with arms stretched out. These people, according to Phipps, feel like they have little control over their life. Not only is this the strangest of sleep styles, but also the least comfortable, and people may wake up feeling tired and have no energy.Inconclusion, Phipps has only one more thing to add: “A good night’s sleep set you up for the following day and our sleeping positions can determine how we feel when we wake.” 7、Which sleeping position indicates that the sleeper tends to seek perfection? A .The fetal position. B .The log position. C .The yearner position. D .The freefaller position. 8、Which of the following can be the best title of the passage? A .A good night’s sleep sets you up for the following day B .Your personality depends a lot on how you sleep at night C .How you sleep at night affects what you do the next day D .Which sleeping position helps you sleep comfortably二、完形填空(题型注释)阅读下面短文,从短文后各题所给的四个选项(A 、B 、C 、D)中,选出可以填入空白处的最佳选项。
浙江省绍兴一中2016-2017学年高一上学期期中考试数学试题 Word版含答案
绍兴一中2016-2017学年第一学期期中考试高一数学试题卷命题:凌晓锋 校对:顾飞飞一、选择题(本大题共8小题,每小题3分,满分24分) 1.下列四个集合中,是空集的是A .}33|{=+x xB .},,|),{(22R y x x y y x ∈-=C .}0|{2≤x xD .},01|{2R x x x x ∈=+-2.函数()f x =的定义域为(,)-∞+∞,则实数a 的取值范围是 A.(,)-∞+∞ B.3[0,)4C.3(,)4+∞D.3[0,]43.若函数)(x f y =为奇函数,则它的图象必经过点 A.)0,0(B.))(,(a f a --C.))(,(a f a -D.))(,(a f a ---4.如图,当参数12,λλλ=时,连续函数(0)1xy x xλ=≥+ 的图像分别对应曲线1C 和2C , 则 A. 210λλ<< B. 210λλ<<C. 120λλ<<D. 120λλ<<5.关于x 的方程a a x 232+=,在(1]-∞,上有解,则实数a 的取值范围是A .[)(]1,01,2 --B .[)[]1,02,3 --C .[)(]1,02,3 --D .[)[]1,01,2 -- 6.下列函数中既是偶函数又在)0,(-∞上是增函数的是A .34x y = B .23x y = C .2-=x y D .41-=x y7.设函数1()f x x x=-,对任意[)1,,()()0x f mx mf x ∈+∞+<恒成立,则实数m 的取值范围是A .1m <-B .01m <<C .101m m <-<<或D .10m -<<8.给出定义:若1122m x m -<≤+(其中m 为整数),则m 叫做离实数x 最近的整数,记作{x },即{}x m =.设函数(){}f x x x =-,二次函数2()g x ax bx =+,若函数)()(x g y x f y ==与的图象有且只有一个公共点,则b a ,的取值不可能是A.4,1a b =-= B .2,1a b =-=- C .4,1a b ==- D .5,1a b ==二、填空题(本大题共7小题,每小题4分,满分28分) 9.设集合A =}30,,2{2-x x ,若A ∈-5,则 x 的值 .10. 已知)3(log ax y a -=在[]2,0上是减函数,则a 的取值范围是 . 11.已知函数x x y +-=4在区间[]2,4上的最大值为_____________.12.若35a b==A (0)ab ≠,且112a b+=,则=A ___________. 13.设已知函数2()log f x x =,正实数n m ,满足m n <,且()()f m f n =,若()f x 在区间2[,]m n 上的最大值为2,则n m += . 14.设函数)(2)(2R x x x g ∈-=,⎩⎨⎧≥-<++=)(,)()(,4)()(x g x x x g x g x x x g x f ,则)(x f 的值域是_________.15. 设集合},,,{4321a a a a A =,若A 中所有三元子集的三个元素之和组成的集合为}8,5,3,1{-=B ,则集合=A .(注释:三元子集指含有三个元素的子集)三、解答题(本大题共4小题,满分48分) 16.(本小题满分10分)已知集合A x y ⎧⎪==⎨⎪⎩,{}29B x x =<<.(1)分别求:()R C A B ,()R C B A ;(2)已知{}32|+<<=a x a x C ,若B C ⊆,求实数a 的取值范围.17.(本小题满分12分)已知函数1()93x x f x c +=-+(其中c 是常数).(1)若当]1,0[∈x 时,恒有0)(<x f 成立,求实数c 的取值范围; (2)若存在0[0,1]x ∈,使0()0f x <成立,求实数c 的取值范围.18.(本小题满分12分)已知1,0()2,0x f x x <⎧=⎨≥⎩,3(1)(2)()2f x f x g x ---=.(1)当12()x g x ≤<时,求;(2)当()x R g x ∈时,求的解析式,并画出其图象; (3)求方程[()]2[()]f g x xg f x =的解.19.(本小题满分14分)已知函数()21f x x ax =++,其中R a ∈,且0a ≠.(1)若()f x 的最小值为1-,求a 的值; (2)求()y f x =在区间0,a ⎡⎤⎣⎦上的最大值;(3)若方程()1f x x =-在区间()0,+∞有两个不相等实根,求a 的取值范围.高一数学答案15.【解析】显然,在A 的所有三元子集中,每个元素均出现了3次,所以15853)1()(34321=+++-=+++a a a a ,故54321=+++a a a a ,于是集合A 的四个元素分别为5-(-1)=6,5-3=2,5-5=0,5-8=-3,因此,集合}6,2,0,3{-=A .三、解答题 16.(本小题满分10分)已知集合A x y ⎧⎪==⎨⎪⎩,{}29B x x =<<.(1)分别求:()R C A B ,()R C B A ;(2)已知{}C x 2a x a 3=<<+,若B C ⊆,求实数a 的取值范围. 解:(1){}36A x x =≤<{}36A B x x =≤< ()R C A B ∴ {}36x x x =<≥或B C R {}29x x x =≤≥或 ()R C B A {}269x x x x =≤≤<≥或3或(2) C =∅≥⇒≥时,2a a+3a 3,C ≠∅时, ∴223923a a a a ≥⎧⎪+≤⎨⎪<+⎩ ∴163a a a ≥⎧⎪≤⎨⎪<⎩∴13a ≤<1a ∴≥17. (本小题满分12分)已知函数1()93x x f x c +=-+(其中c 是常数).(1)若当[0,1]x ∈时,恒有()0f x <成立,求实数c 的取值范围; (2)若存在0[0,1]x ∈,使0()0f x <成立,求实数c 的取值范围; 【答案】(1) (,0).-∞(2))49,(-∞【解析】(1)【法一】2()(3)33x xf x c =-⨯+,令3x t =,当[0,1]x ∈时,[1,3]t ∈.当[1,3]t ∈时,2()30g t t t c =-+<恒成立. 由于t t t g +--=49)23()(2)(t g 在)23,1(上是减函数,在)3,23(上是增函数,由于)3()1(g g <于是,只需()g t 在[1,3]上的最大值是)3(g ,依题意只需(3)0g <,即23330c -⨯+<,解得0c <.∴实数c 的取值范围是(,0).-∞【法二】2()(3)33x x f x c =-⨯+,令3x t =,当[0,1]x ∈时,[1,3]t ∈. 当[1,3]t ∈时,2()30g t t tc =-+<恒成立.即:t t c 32+-<,设49)23(3)(22+--=+-=t t t t h当3=t 时,)(t h 取得最小值为099)3(=+-=h ,所以0<c ;(2)【法一】若存在0[0,1]x ∈,使0()0f x <,则存在[1,3]t ∈,使2()30g t t t c =-+<.18.(本小题满分12分)已知1,0()2,0x f x x <⎧=⎨≥⎩,3(1)(2)()2f x f x g x ---=.(1)当12()x g x ≤<时,求;(2)当()x R g x ∈时,求的解析式,并画出其图象; (3)求方程[()]2[()]f g x x g f x =的解.解:(1) 当1≤x<2时,x-1≥0,x-2<0,∴g(x)=216-=25. (2)当x<1时,x-1<0,x-2<0,∴g(x)=213- =1. 当x ≥2时,x-1>0,x-2≥0,∴g(x)= 226-=2.故1,1,5(),12,22, 2.x y g x x x <⎧⎪⎪==≤<⎨⎪≥⎪⎩ 其图象如右图.(3)()0[()]2,g x f g x x R >∴=∈ 5(1),0[()],2(2)2,0g x g f x g x ⎧=<⎪=⎨⎪=≥⎩所以,方程[()]2[()]f g x x g f x = 为 25,0,4,0x x x <⎧=⎨≥⎩ 所以x=x=2.19. (本小题满分14分)已知函数()21f x x ax =++,其中R a ∈,且0a ≠.(1) 若()f x 的最小值为1-,求a 的值; (2)求()y f x =在区间0,a ⎡⎤⎣⎦上的最大值;(3)若方程()1f x x =-在区间()0,+∞有两个不相等实根,求a 的取值范围.。
2017届浙江省绍兴一中高三上学期期中考试英语试题及答案
B. To find out about an apartment.C. To share an apartment with him.第二节听下面5段对话或独白。
每段对话或独白后有2—4个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听每段对话或独白前,你将有5秒钟的时间阅读各个小题;听完后,各小题将给出5秒钟的作答时间。
每段对话或独白读两遍。
听下面一段对话,回答第6—7题。
6. What does the woman provide as her identification?A. Her birth certificate.B. Her driver’s license.C. Her ID card.7. Why can’t the woman travel first class?A. She has too much baggage to be upgraded.B. The travel agency made a mistake.C. It has been fully booked already.听下面一段对话,回答第8—10题。
8.What does the man offer to do?A. Lend his umbrella to the woman.B. Get the woman’s umbrella for her.C. Do the presentation for the woman.9. Where is the man’s umbrella?A. At his home.B. In his classroom.C. In his gym locker.10. What will the woman do in ten minutes?A. Make a presentation.B. Study in the library.C. Wait for the man.听下面一段对话,回答第11--13题。
2018-2017学年第一学期浙江省绍兴市文理附中期中考试七年级英语试卷
2018—2018学年第一学期浙江省绍兴市文理附中期中考试七年级英语试卷听力部分<20%)一、听单词,选择相应地图片填写序号.5%1._________ 2._________ 3._________ 4.___________ 5.__________二、听句子,选择相应地答语.5% ( >6. Does Peter have a ping--pong bat? A. Yes, he does. B. No, he does n’t. C. Yes, Tom has one. ( >7. How many basketballs does Barry have? A. Seven B. Eight C. Nine ( >8. Does Tom have a basketball? A. Yes, he does. B. No, he doesn’t. C. We don’t k now.( >9. Where’s the basketball? A. Under the bed. B. Under the desk. C. Near the chair. ( >10. Does Peter like soccer? A. Yes, he does. B. No, he doesn’t. C. We don’t know.三、听小对话,回答问题.10% 听下面一段小对话,回答11-12小题. ( >11.Where are the man and the woman? A. At home. B. At school. C. In a shop.( >12. Where is the clock?A. On the table.B. On the bookcase.C. We don’t know.班级 姓名 学号 密 封 线 内 不 要 答 题 班级 姓名 学号第 试场 号 密 封 线 内 不 要 答 题听下面一段小对话,回答13-15小题.( >13. Whe re is Tom’s computer game?A. In the drawer.B. In his backpack.C. On the sofa.( >14. How many people are mentioned( 提到 > in the dialogue( 对话 >?A. OneB. TwoC. Three.( >15. Which of the following is WRONG about the dialogue?A. Mum and Tom are at home.B. Dad’s books are on the floor.C. Mum can’t see her bag.笔试部分<80%)一、单项选择题20%( >1. Is ________ name Bob? Yes, I’m Bob.A. youB. yourC. myD. I( >2. These are my __________.A. motherB. fatherC. parentD. parents( >3. Is the backpack on the desk? _____________.A. No, it is.B. Yes, it isn’t.C. Yes, it is.D. No, it’s no.( >4. Your dress is nice. ____________.A. OKB. Yes, it is.C. Thank you.D. No, it isn’t.( >5. I like ________, but my brother likes___________.A. broccoli, saladB. apple, bananaC. oranges, broccolisD. French fries, salads ( >6. He only watches them _____ TV. A.in B. On C.At D.for( >7. Is this his _______? Yes, it is.A. a deskB. my deskC. deskD. the desk( >8. I need my hat, my notebook and a pen. Can you _________ them to me?A. haveB. helpC. bringD. take( >9. _________ my two sisters. And __________ my brother.A. This is, this isB. These are, this isC. These are, these areD. This is, these are ( >10. _________ my computer game? On the chair.A. What’sB. Where’sC. How’sD. Who’s( >11. Where are his books? _________ on his bed.A. It’sB. He’sC. They’reD. His book s are( >12. We play ________ basketball after class.A. aB. anC. theD. /( >13. Runner eats _____. A.good B.nice C.welll D. nicely( >14. How is your mother? She is __________.A. very wellB. goodC. a friendD. tall( >15. let’s play soccer. __________. Let’s play ping-pong.A. That’s great.B. That sounds good.C. That’s boring.D. Yes, I do.( >16. Peter and I ________ in the same class. ________ are good friends.A. are, usB. are, weC. is, ourD. am, we( >17. Let’s ________ the football match<比赛).A. watchesB. watchC. watchingD. to watch( >18. Where _________ your brother usually _______ lunch?A. do, haveB. do, hasC. does, haveD. does, has( >19. What do you have ________ lunch?A. toB. withC. forD. on( >20. _________ name is Tony. ________ name is Amy. _______ name is Ben.A. Her, My, HisB. My, His, HerC. His, Her, MyD. His, His, My二、完型填空10%My name is Li Hua. I’m thirteen. I’m a middle school student. I am _____1____ Class Five, Grade Seven. My English teacher _____2____ Mr. Lin. He is ____3____ old teacher. I ____4____ a pen, a ruler and two _____5____. I have a bike, ___6____.Liu Ping is in my class. She is a girl. We ___7_____ good friends. She is not ____8___ today. I think she is at home. Look! Here is a ____9____. But it is not my book. I think it is ____10_____ book.( >1. A. in B. at C. do D. not( >2. A. are B. am C. is D. good( >3. A. a B. an C. this D. very( >4. A. am B. think C. know D. have( >5. A. boxes B. pencils C. Buses D. desks( >6. A. too B. or C. much D. very( >7. A. is B. am C. are D. all( >8. A. right B. where C. at home D. at school( >9. A. license B. Book C. picture D. map( >10. A. Liu Ping B. Liu Pings C. Liu Ping’s D. Liu Pings’三、阅读理解20% (A>My name is David Green. I am an English boy. My family are in Beijing. My father and mother work there. My father is an engineer( 工程师> and my mother is a teacher. I have a sister but no brothers. My sister and I are students of a middle school in Beijing. We love China. We have a nice house in Beijing. My family has a TV and a computer. My room is big. There is a bed, a desk and two chairs in it. My books are in my desk. I have a radio on my desk. There are some pictures on the wall. I like my room and I like these pictures very much, too.阅读短文,判断正< T ),误< F )( >1. There are four people in David’s family.( >2.Mr and Mrs Green have a son and a daughter.(>3.David’s mother works in a school in Beijing .( >4.There are two desks and a chair in David’s room.( >5.There isn’t a radio on David’s desk.(B>Mrs Green is an English woman. She teaches English. Her English class is very interesting. She likes us and we like her, too. Mrs Green has two children--- Mike and Jane. Mike is seven and his sister Jane is four. Mike goes to school but Jane doesn’t. Mrs Green likes ping —pong. After school we have ping —pong matches. Sometimes Mrs. Green watches and joins us. She plays basketball just for fun.( >1. Mrs Green is_________.A. a Chinese teacherB. an English manC. an English teacherD. a Chinese woman ( >2. How many daughters does Mrs Green have?A .One B. Two C. Three D. No one ( >3. Jane doesn’t go to school because _______.A. she looks beautifulB. she is sevenC. she doesn’t like schoolD. she is onl y four ( >4. Mrs Green likes ______ very much.A. baseballB. footballC. ping —pongD. basketball ( >5.The passage( 短文 > is about (关于 >_________.A. Mrs. Green’s son B Mrs. Green C. Mike and Jane D. ping—pong game 四、补全对话5%A: Here is a photo of my family.B: ______1______.A: OK. Here you are.B: Is the man your father?A: Yes, he is. And _____2______.B: ________3________A: They are my sisters. Who is the boy, can you guess?B: He is your little brother. A: ______4______. It’s me. B: But it doesn’t look like (看起来像> you. A: _______5________五、单词拼写5%1. We have _________________(早餐> at home.2. Baseball is a very _________________(困难地> sport.3. My _____________(名> name is Mary.Sportsmen have lots of _______________(健康地> food every day.5. I have two ________________(字典>.六、句型转换10%1. She doesn’t have lunch at home. (变肯定句> She _____1_____ lunch.2. My teacher plays basketball. (改一般疑问句> ____2____ your teacher ____3____ basketball?3. We play volleyball.<变成由let 开头地祈使句) _______4___ _____5____ volleyball.4. The photos are in the drawer. <划线提问) ____6_____ ____7_____the photos?5. W-A-T-C-H, watch. (划线提问)_____8____ ____9____ you ____10______ watch?七、书面表达10%请根据图画,以My room 为题,写一篇50词左右地短文.<命题人:王英)七年级英语听力材料及答案听力一、听单词,选择相应地图片填写序号A. How old are you?B. This is my mother.C. No.D. Can I have a look?E. I am sorry.F. I’m only five in the photo. G . Who are those two girls?1.ruler2.my mother and Ik4.A ruler is on the dictionary5.bananas二、听句子,选择相应地答语6.Peter has a pingpong ball.7.Barry has nine basketball.s8.Tom has a baseball .9.The basketball is under the desk .10.Oeter likes soccer.三、听小对话,回答问题.听下面一段小对话,回答11-12小题W: Good morning ,Lily .M: Good morning,Lily .M: Please have breakfast.It’s on the table.W:OK. What time is it ?M: It’s seven o”clock .Look, the clock is on the bookcase.W: I’m coming .听下面一段小对话,回答13-15小题W: Good evening ,Tom .M: Good evening ,Mum..I can’t find my computer game .Where is it ?W: Is it on the sofa ? M: No,it isn’t.W: Is it in your backpack ?M: Yes,it is .My dad’s books are in my backpack ,too.W:Where is my bag ? M: It’s on the desk .答案:听力部分BCACC BCBBB ABBCB笔试部分一、单项选择BDCCA BCCBB CDCAC BBCCC二、完型填空ACBDB ACDBC三、阅读理解TTTFF CADCB四、补全对话DBGCF五、单词拼写 1.breakfast 2.difficult 3.first 4.healthy 5. dictionaries六、句型转换 1.has 2..Does 3.play 4.Let’s 5. play6.Where7..are8.How9.do 10.spell申明:所有资料为本人收集整理,仅限个人学习使用,勿做商业用途.。
2016-2017学年浙江绍兴一中高二上期中考试英语试卷(带解析)
绝密★启用前2016-2017学年浙江绍兴一中高二上期中考试英语试卷(带解析)注意事项:1.答题前填写好自己的姓名、班级、考号等信息2.请将答案正确填写在答题卡上第I卷(选择题)请点击修改第I卷的文字说明一、阅读理解According to body language expert Robert Phipps, the way people sleep at night actually determines a lot about the type of personality they have. Phipps has identified four sleeping positions that affect personality.Phipps found that worriers, those who stress the most, tend to sleep in the fetal (胎儿的) position. He found that this is the most common bedtime position, with nearly 58 percent of people sleeping on their side with knees up and head down. The more we curl up (蜷曲), the more comfort we are seeking, according to Phipps. The second most common position is the log. Sleeping with a straight body, with arms at each side, as if they are standing guard at Buckingham Palace, indicates stubbornness, and these people (the 28 percent who sleep this way) often wake up stiffer than when they went to sleep.“The longer you sleep like this, the more rigid your thinking is and you can become inflexible, which means you make things harder for yourself,” according to Phipps.Yearner (向往) sleepers are next on the list. About 25 percent of people sleep in this style—on their side with arms stretched out in front, looking as if they are either chasing a dream or perhaps being chased themselves. Yearners are typically their own worst critics, always expecting the best results, explained Phipps. These people often wake up refreshed and eager to face the challenges of the day ahead.Perhaps the most peculiar (奇怪的) of sleep styles is the freefaller position. This sleep style makes up 17 percent of the population. They sleep face down with arms stretched out. These people, according to Phipps, feel like they have little control over their life. Not only is this the strangest of sleep styles, but also the least comfortable, and people may wake up feeling tired and have no energy.Inconclusion, Phipps has only one more thing to add: “A good night’s sleep set you up for the following day and our sleeping positions can determine how we feel when we wake.”1.Which sleeping position indicates that the sleeper tends to seek perfection?A. The fetal position.B. The log position.C. The yearner position.D. The freefaller position. 2.Which of the following can be the best title of the passage?A. A good night’s sleep sets you up for the following dayB. Your personality depends a lot on how you sleep at nightC. How you sleep at night affects what you do the next dayD. Which sleeping position helps you sleep comfortablyOur room was on the second floor but you could still hear the roar of the ocean and see the stars at night. I used to take long walks along the water. The food in town was wonderful and the people were very friendly. The area was very quiet and peaceful, and fairly deserted.The last evening of our vacation, however, we all heard strange footsteps following closely behind us as we were walking up to our room in the holiday centre. We turned around and noticed a fairly young man moving very rapidly across the beach and getting closer to us. He was tall and wore a baseball cap. We couldn’t see his face and he was approaching us very rapidly. The man’s actions made my dad very nervous. Dad warned us that we’d better try to make it to our hotel room as quickly as possible. I didn’t like my dad’s voice;I could hear fear in it. It was late and we were all alone. We didn’t have any cell phones on us. I never saw Dad as worried as he was then and I knew that something was terribly wrong. The sense of fear started to overwhelm Mom and me. We had had such a good time in town. Now, the night was rapidly turning into a dangerous situation.We could hear the man’s footsteps getting closer. Dad’s face was almost pale. The so-called intruder (侵入者) had moved nearer and nearer when all of a sudden, the nearby vending (自动贩卖) machine started going crazy and spitting out cans of soda! The noise actually scared the intruder and he ran out of sight. My parents were shaking, but we all turned around to see who had put money into the vending machine downstairs, and actually saved us, but no one was around at all. Not a soul.It’s one vacatio n I will never forget.3.Where did the author spend her vacation?A. Near a lake.B. At the seaside.C. In a village.D. In a mountain.4.What does the underlined word “overwhelm” in Paragraph 2 mean?A. move.B. impress.C. control.D. excite. 5.What helped them get out of the trouble?A. Their quick action.B. Other people’s kind help.C. The young man’s warning.D. The noise from the vending machine.Science has a lot of uses. It can reveal (揭示) laws of nature, cure diseases, make bombs, and help bridges to stand up. Indeed science is so good at what it does that there’s always a temptation (诱惑) to drag it into problems where it may not be helpful. David Brooks, author of The Social Animal, The HiddenSources of Love, Character, and Achievement, appears to be the latest in a long line of writers who have failed to resist the temptation.Brooks gained fame for several books. His latest book The Social Animal, however, is more ambitious and serious than his earlier books. It is an attempt to deal with a set of weighty topics. The book focuses on big questions: What has science revealed about human nature? What are the sources of character? And why are some people happy and successful while others aren’t?To answer these questions, Brooks surveys a wide range of subjects. Because of this, you might expect the book to cover a variety of facts. But Brooks has structured his book in an unusual, and perhaps unfortunate way. Instead of introducing scientific theories, he tells a story, within which he tries to make his points, perhaps in order to keep the reader’s attention. So as Harold and Erica, the hero and heroine in his story, live through childhood, we hear about the science of child development and as they begin to date we hear about the theory of sexual attraction. Brooks carries this through to the death of one of his characters.On the whole, Brooks’s story is acceptable if uninspired. As one would expect, his writing is mostly clear and, to be fair, some chapters stand out above the rest. I enjoyed, for instance, the chapter in which Harold discovers how to think on his own. While Harold and Erica are certainly not strong characters, the more serious problems with The Social Animal lie elsewhere. These problems partly involve Brooks’s at tempt to translate his tale into science.6.The author mentions the functions of science at the beginning of the passage to ________.A. show the value of Brooks’s new bookB. show where science can be appliedC. remind the reader of the importance of scienceD. explain why many writers use science in their works7.According to the author, which of the following could be a strength of the book?A. Its clear writing.B. Its convincing points.C. Its strong characters.D. Its strong basis.8.What is the author’s general attitude towards the book?A. Cautious.B. Critical.C. Contradictory(矛盾的).D. Supportive.二、完形填空阅读下面短文,从短文后各题所给的四个选项(A、B、C、D)中,选出可以填入空白处的最佳选项。
浙江省绍兴一中2017-2018学年高三上学期期中数学试卷(理科) Word版含解析
2017-2018学年浙江省绍兴一中高三(上)期中数学试卷(理科)一、选择题(本大题共8个小题,每小题3分,共24分.)1.若全集U=R,集合M={x|x2>4},N={x|>0},则M∩(∁U N)等于()A.{x|x<﹣2}B.{x|x<﹣2}或x≥3}C.{x|x≥32}D.{x|﹣2≤x<3}2.已知“命题p:(x﹣m)2>3(x﹣m)”是“命题q:x2+3x﹣4<0”成立的必要不充分条件,则实数m的取值范围为()A.m>1或m<﹣7 B.m≥1或m≤﹣7 C.﹣7<m<1 D.﹣7≤m≤13.已知b>a>1,t>0,如果a x=a+t,那么b x与b+t的大小关系是()A.b x>b+t B.b x<b+t C.b x≥b+t D.b x≤b+t4.对两条不相交的空间直线a和b,则()A.必定存在平面α,使得a⊂α,b⊂αB.必定存在平面α,使得a⊂α,b∥αC.必定存在直线c,使得a∥c,b∥cD.必定存在直线c,使得a∥c,b⊥c5.设点A(1,0),B(2,1),如果直线ax+by=1与线段AB有一个公共点,那么a2+b2()A.最小值为B.最小值为C.最大值为D.最大值为6.已知函数f(x)=sin(x﹣π),g(x)=cos(x+π)则下列结论中正确的是()A.函数y=f(x)•g(x)的最小正周期为2πB.函数y=f(x)•g(x)的最大值为2C.将函数y=f(x)的图象向左平移单位后得y=g(x)的图象D.将函数y=f(x)的图象向右平移单位后得y=g(x)的图象7.若双曲线上不存在点P使得右焦点F关于直线OP(O为双曲线的中心)的对称点在y轴上,则该双曲线离心率的取值范围为()A.B.C.D.8.已知关于x的方程|x﹣k|=k在区间[k﹣1,k+1]上有两个不相等的实根,则实数k 的取值范围是()A.0<k≤1 B.0<k≤C.1≤k D.k≥1二、填空题(共28分.)9.设复数z满足关系z•i=﹣1+i,那么z=,|z|=.10.已知几何体的三视图(如图),则该几何体的体积为,表面积为.11.已知=,S2015=.12.若展开式的各项系数之和为32,则n=,其展开式中的常数项为.(用数字作答)13.设x,y满足约束条件,若目标函数z=+(a>0,b>0)的最大值为10,则5a+4b的最小值为.14.边长为2的正三角形ABC内(包括三边)有点P,•=1,求•的取值范围.15.若实数x,y满足2cos2(x+y﹣1)=,则xy的最小值为.三、解答题(本大题共5小题,共48分.解答应写出文字说明、证明过程或演算步骤.)16.在三角形ABC中,∠A,∠B,∠C的对边分别为a、b、c且b2+c2=bc+a2(1)求∠A;(2)若,求b2+c2的取值范围.17.如图,在四棱锥S﹣ABCD中,侧棱SA⊥底面ABCD,AD∥BC,∠ABC=90°,SA=AB=BC=2,AD=1.M是棱SB的中点.(1)求证:AM∥面SCD;(2)设点N是线段CD上的一点,且在方向上的射影为a,记MN与面SAB所成的角为θ,问:a为何值时,sinθ取最大值?18.数列{a n }满足a 1=2,a n +1=(n ∈N +).(1)设b n =,求数列{b n }的通项公式b n ;(2)设c n =,数列{c n }的前n 项和为S n ,求出S n 并由此证明:≤S n <.19.已知椭圆E : =1(a >b >0)的离心率为,其长轴长与短轴长的和等于6.(1)求椭圆E 的方程;(2)如图,设椭圆E 的上、下顶点分别为A 1、A 2,P 是椭圆上异于A 1、A 2的任意一点,直线PA 1、PA 2分别交x 轴于点N 、M ,若直线OT 与过点M 、N 的圆G 相切,切点为T .证明:线段OT 的长为定值.20.设函数f (x )=alnx ﹣bx 2(x >0);(1)若函数f (x )在x=1处与直线相切①求实数a ,b 的值;②求函数上的最大值.(2)当b=0时,若不等式f (x )≥m +x 对所有的都成立,求实数m 的取值范围.2015-2016学年浙江省绍兴一中高三(上)期中数学试卷(理科)参考答案与试题解析一、选择题(本大题共8个小题,每小题3分,共24分.)1.若全集U=R,集合M={x|x2>4},N={x|>0},则M∩(∁U N)等于()A.{x|x<﹣2}B.{x|x<﹣2}或x≥3}C.{x|x≥32}D.{x|﹣2≤x<3}【考点】交、并、补集的混合运算.【分析】分别求出M与N中不等式的解集,根据全集U=R求出N的补集,找出M与N补集的交集即可.【解答】解:由M中的不等式解得:x>2或x<﹣2,即M={x|x<﹣2或x>2},由N中的不等式变形得:(x﹣3)(x+1)<0,解得:﹣1<x<3,即N={x|﹣1<x<3},∵全集U=R,∴∁U N={x|x≤﹣1或x≥3}则M∩(∁U N)={x|x<﹣2或x≥3}.故选:B.2.已知“命题p:(x﹣m)2>3(x﹣m)”是“命题q:x2+3x﹣4<0”成立的必要不充分条件,则实数m的取值范围为()A.m>1或m<﹣7 B.m≥1或m≤﹣7 C.﹣7<m<1 D.﹣7≤m≤1【考点】一元二次不等式的解法.【分析】分别求出两命题中不等式的解集,由p是q的必要不充分条件得到q能推出p,p 推不出q,即q是p的真子集,根据两解集列出关于m的不等式,求出不等式的解集即可求出m的范围.【解答】解:由命题p中的不等式(x﹣m)2>3(x﹣m),因式分解得:(x﹣m)(x﹣m﹣3)>0,解得:x>m+3或x<m;由命题q中的不等式x2+3x﹣4<0,因式分解得:(x﹣1)(x+4)<0,解得:﹣4<x<1,因为命题p是命题q的必要不充分条件,所以q⊊p,即m+3≤﹣4或m≥1,解得:m≤﹣7或m≥1.所以m的取值范围为:m≥1或m≤﹣7故选B3.已知b>a>1,t>0,如果a x=a+t,那么b x与b+t的大小关系是()A.b x>b+t B.b x<b+t C.b x≥b+t D.b x≤b+t【考点】指数函数单调性的应用.【分析】构造函数f(m)=m x.g(m)=m+t,在同一坐标系内作出两函数图象,通过图象解决.【解答】解:构造函数f(m)=m x.g(m)=m+t.∵a>1,t>0,a x=a+t>a>1,∴x>1.在同一坐标系内作出两函数图象∵a x=a+t,即是说,两图象交点的横坐标为a,若b>a>1,则f(b)>g(b),即b x>b+t.故选A.4.对两条不相交的空间直线a和b,则()A.必定存在平面α,使得a⊂α,b⊂αB.必定存在平面α,使得a⊂α,b∥αC.必定存在直线c,使得a∥c,b∥cD.必定存在直线c,使得a∥c,b⊥c【考点】空间中直线与直线之间的位置关系;空间中直线与平面之间的位置关系;平面与平面之间的位置关系.【分析】根据空间直线的位置关系、直线与平面的位置关系和平面与平面的位置关系的性质与判定,对各个选项依次加以判别,即可得到B项是正确的,而A、C、D都存在反例而不正确.【解答】解:对于A,若两条直线a、b是异面直线时,则不存在平面α使得a⊂α且b⊂α成立,故A不正确;对于B,因为a、b不相交,所以a、b的位置关系是平行或异面:①当a、b平行时,显然存在平面α,使得a⊂α且b∥α成立;②当a、b异面时,设它们的公垂线为c,在a、b上的垂足分别为A、B.则经过A、B且与c垂直的两个平面互相平行,设过A的平面为α,过B的平面为β,则α∥β,且a、b分别在α、β内,此时存在平面α,使得a⊂α且b∥α成立.故B正确;对于C,若两条直线a、b是异面直线时,则不存存在直线c,使得a∥c且b∥c成立,故C 不正确;对于D,当a、b所成的角不是直角时,不存在直线c,使得a∥c且b⊥c成立,故D不正确.综上所述,只有B项正确.故选:B5.设点A(1,0),B(2,1),如果直线ax+by=1与线段AB有一个公共点,那么a2+b2()A.最小值为B.最小值为C.最大值为D.最大值为【考点】简单线性规划的应用;函数的最值及其几何意义.【分析】由题意得:点A(1,0),B(2,1)在直线ax+by=1的两侧,那么把这两个点代入ax+by﹣1,它们的符号相反,乘积小于等于0,即可得出关于a,b的不等关系,画出此不等关系表示的平面区域,结合线性规划思想求出a2+b2的取值范围.【解答】解:∵直线ax+by=1与线段AB有一个公共点,∴点A(1,0),B(2,1)在直线ax+by=1的两侧,∴(a﹣1)(2a+b﹣1)≤0,即或;画出它们表示的平面区域,如图所示.a2+b2表示原点到区域内的点的距离的平方,由图可知,当原点O到直线2x+y﹣1=0的距离为原点到区域内的点的距离的最小值,∵d=,那么a2+b2的最小值为:d2=.故选A.6.已知函数f(x)=sin(x﹣π),g(x)=cos(x+π)则下列结论中正确的是()A.函数y=f(x)•g(x)的最小正周期为2πB.函数y=f(x)•g(x)的最大值为2C.将函数y=f(x)的图象向左平移单位后得y=g(x)的图象D.将函数y=f(x)的图象向右平移单位后得y=g(x)的图象【考点】函数y=Asin(ωx+φ)的图象变换.【分析】将f(x),g(x)化简,得f(x)=sin(x﹣π)=﹣sinx,g(x)=cos(x+π)=﹣cosx,再对4个选项逐一判断即可.【解答】解:由题意得f(x)=sin(x﹣π)=﹣sinx,g(x)=cos(x+π)=﹣cosx,A,y=f(x)•g(x)=sin2x,最小正周期是π,故不正确.B,y=f(x)•g(x)=sin2x,最大值为,故不正确.C,f(x)=sin(x﹣π)=﹣sinx=﹣sin(x+)=﹣cosx=g(x),故正确.D,f(x)=sin(x﹣π)=﹣sinx=﹣sin(x﹣)=cosx,故不正确.故选:C.7.若双曲线上不存在点P使得右焦点F关于直线OP(O为双曲线的中心)的对称点在y轴上,则该双曲线离心率的取值范围为()A.B.C.D.【考点】双曲线的简单性质.【分析】由于双曲线得对称性,只讨论第一象限即可.根据双曲线方程,设其上一点P的坐标为P(,btanθ),其中为θ锐角,求出直线OP方程:y=x.设右焦点F (c,0)关于直线OP的对称点为Q(x1,y1),根据点关于直线对称的知识,列方程组并化简消去y1,可得.因为不存在点P使得对称点Q在y轴上,所以不存在θ,使x1=0满足该方程,讨论这个方程解的情况,得,可得c2≤2a2,离心率满足.得到正确答案.【解答】解:由于双曲线得对称性,只讨论第一象限即可.设双曲线位于第一象限内一点P的坐标为(,btanθ),其中为θ锐角,∴直线OP的斜率为k==,可得直线OP方程为y=x,设右焦点F(c,0)关于直线OP的对称点为Q(x1,y1),∴,消去y1得:…(*),接下来讨论方程(*)的根的问题,当x1=0时,,将此方程进行变量分离,得:∵0<sin2θ<1∴而根据题意,不存在点P使得对称点Q在y轴上,所以不存在θ,使x1=0满足(*)式成立.综上所述,可得,即,可得c2≤2a2,离心率∵双曲线中,c>a∴离心率e>1,可得.故选C8.已知关于x的方程|x﹣k|=k在区间[k﹣1,k+1]上有两个不相等的实根,则实数k 的取值范围是()A.0<k≤1 B.0<k≤C.1≤k D.k≥1【考点】函数的零点与方程根的关系.【分析】|x﹣k|=k可化为x2﹣(2k+k2)x+k2=0;从而由方程的根求解.【解答】解:由题意,|x﹣k|=k可化为x2﹣(2k+k2)x+k2=0;故;解得,0<k<8;再由(k+1)2﹣(2k+k2)(k+1)+k2≥0,得0<k≤1;此时,k2>0;故选A.二、填空题(共28分.)9.设复数z满足关系z•i=﹣1+i,那么z=+i,|z|=.【考点】复数代数形式的乘除运算.【分析】直接利用复数的除法的运算法则化简求解,以及复数的模的求法求解即可.【解答】解:复数z满足关系z•i=﹣1+i,可得z==﹣=+i.|z|==.故答案为: +i;.10.已知几何体的三视图(如图),则该几何体的体积为,表面积为4+4.【考点】由三视图求面积、体积.【分析】根据三视图分析可知,该几何体为一底面边长为2的正四棱锥,其高h==,即可求出几何体的体积、表面积.【解答】解:根据三视图分析可知,该几何体为一底面边长为2的正四棱锥,其高h==,∴体积V==,表面积S=4×+4=4+4.故答案为;4+4.11.已知=5,S2015=15.【考点】数列递推式.【分析】根据题意推知数列{a n}(n≥7)是周期为3的周期数列,由此进行解答.【解答】解:∵a1=1,a2=2,a3=3,a4=4,a5=5,a6=6,a7=﹣a4=﹣4,a8=﹣a5=﹣5,a9=﹣a6=﹣6,a10=﹣a4=﹣4,a11=﹣a8=a5=5,a12=﹣a9=a6=6,a13=﹣a4=﹣4,a14=﹣a8=a5=5,a15=﹣a9=a6=6,∴数列{a n}(n≥7)是周期为3的周期数列,∵2015=671×3+2,∴a2015=a5=5.∴S2015=a1+a2+a3+a2010+a2011+a2013+a2014+a2015,=a1+a2+a3﹣a4+a5+a6﹣a4+a5,=1+2+3﹣4+5+6﹣4+5,=15.故a2015=5.S2015=15.故答案为5;15.12.若展开式的各项系数之和为32,则n=5,其展开式中的常数项为10.(用数字作答)【考点】二项式系数的性质;二项式定理.【分析】显然展开式的各项系数之和就是二项式系数之和,也即n=5;将5拆分成“前3后2”恰好出现常数项,C52=10.【解答】解:∵展开式的各项系数之和为32∴2n=32解得n=5=C5r x10﹣5r展开式的通项为T r+1当r=2时,常数项为C52=10.故答案为5,10.13.设x,y满足约束条件,若目标函数z=+(a>0,b>0)的最大值为10,则5a+4b的最小值为8.【考点】简单线性规划.【分析】作出不等式对应的平面区域,利用线性规划的知识先求出a,b的关系,然后利用基本不等式求5a+4b的最小值.【解答】解:由z=ax+by(a>0,b>0)得y=,作出可行域如图:∵a>0,b>0,∴直线y=的斜率为负,且截距最大时,z也最大.平移直线y=,由图象可知当y=经过点A时,直线的截距最大,此时z也最大.由,解得,即A(4,5).此时z=+=10,即+=1,则5a+4b=(5a+4b)(+)=2+2++≥4+2=4+4=8,当且仅当=,即4b=5a时,取等号,故5a+4b的最小值为8,故答案为:8;14.边长为2的正三角形ABC内(包括三边)有点P,•=1,求•的取值范围[3﹣2,5﹣] .【考点】平面向量数量积的运算.【分析】先建立坐标系,根据•=1,得到点P在(x﹣1)2+y2=2的半圆上,根据向量的数量积得到•=﹣x﹣y+4,设x+y=t,根据直线和圆的位置关系额判断t的范围,即可求出•的取值范围.【解答】解:以B为原点,BC所在的直线为x轴,建立如图所示的坐标系,∵正三角形ABC边长为2,∴B(0,0),A(1,),C(2,0),设P的坐标为(x,y),(0≤x≤2,0≤y≤),∴=(﹣x,﹣y),=(2﹣x,﹣y),∴•=x(x﹣2)+y2=1,即点P在(x﹣1)2+y2=2的半圆上,∵=(﹣1,﹣)∴•=﹣x﹣y+4,设x+y=t,则直线x+y﹣t=0与圆交点,∴d=≤,解得0≤t≤2+1,当直线x+y﹣t=0过点D(﹣1,0)时开始有交点,∴﹣1=t,即t≥﹣1,∴﹣1≤t≤2+1,∴3﹣2≤4﹣t≤5﹣,故•的取值范围为[3﹣2,5﹣].故答案为:[3﹣2,5﹣].15.若实数x,y满足2cos2(x+y﹣1)=,则xy的最小值为.【考点】基本不等式;余弦定理.【分析】配方可得2cos2(x+y﹣1)==(x﹣y+1)+,由基本不等式可得(x+y+1)+≤2,或(x﹣y+1)+≤﹣2,进而可得cos(x+y﹣1)=±1,x=y=,由此可得xy的表达式,取k=0可得最值.【解答】解:∵,∴2cos2(x+y﹣1)=∴2cos2(x+y﹣1)=,故2cos2(x+y﹣1)==(x﹣y+1)+,由基本不等式可得(x﹣y+1)+≥2,或(x﹣y+1)+≤﹣2,∴2cos2(x+y﹣1)≥2,由三角函数的有界性可得2cos2(x+y﹣1)=2,故cos2(x+y﹣1)=1,即cos(x+y﹣1)=±1,此时x﹣y+1=1,即x=y∴x+y﹣1=kπ,k∈Z,故x+y=2x=kπ+1,解得x=,故xy=x•x=,当k=0时,xy的最小值,故答案为:三、解答题(本大题共5小题,共48分.解答应写出文字说明、证明过程或演算步骤.)16.在三角形ABC中,∠A,∠B,∠C的对边分别为a、b、c且b2+c2=bc+a2(1)求∠A;(2)若,求b2+c2的取值范围.【考点】解三角形;正弦定理的应用;余弦定理的应用.【分析】(1)由余弦定理表示出cosA,把已知的等式代入即可求出cosA的值,由A的范围,利用特殊角的三角函数值即可求出A的度数;(2)由a和sinA的值,根据正弦定理表示出b和c,代入所求的式子中,利用二倍角的余弦函数公式及两角差的余弦函数公式化简,去括号合并后再利用两角差的正弦函数公式及特殊角的三角函数值化为一个角的正弦函数,根据角度的范围求出正弦函数的值域,进而得到所求式子的范围.【解答】解:(1)由余弦定理知:cosA==,又A∈(0,π)∴∠A=(2)由正弦定理得:∴b=2sinB,c=2sinC∴b2+c2=4(sin2B+sin2C)=2(1﹣cos2B+1﹣cos2C)=4﹣2cos2B﹣2cos2(﹣B)=4﹣2cos2B﹣2cos(﹣2B)=4﹣2cos2B﹣2(﹣cos2B﹣sin2B)=4﹣cos2B+sin2B=4+2sin(2B﹣),又∵0<∠B<,∴<2B﹣<∴﹣1<2sin(2B﹣)≤2∴3<b2+c2≤6.17.如图,在四棱锥S﹣ABCD中,侧棱SA⊥底面ABCD,AD∥BC,∠ABC=90°,SA=AB=BC=2,AD=1.M是棱SB的中点.(1)求证:AM∥面SCD;(2)设点N是线段CD上的一点,且在方向上的射影为a,记MN与面SAB所成的角为θ,问:a为何值时,sinθ取最大值?【考点】直线与平面平行的判定.【分析】(1)根据已知条件容易发现,取BC中点E,连接AE,ME,则能够证明平面AME ∥平面SCD,所以AM∥面SCD;(2)先找到MN与面SAB所成的角θ,根据已知条件,过N作NF∥AD,则NF⊥平面SAB,连接MF,MN,则∠FMN=θ,而sinθ=,而根据已知条件知NF=a.所以根据条件求出MN即可,可以用a来表示MN.分别延长BA,CD相交于G,则有:,所以可求出GA=2,而根据,可以用a表示出BF,这时候在△MBF中可根据余弦定理求出MF,所以在Rt△MNF中,可求出MN,即用a表示出MN=,所以sinθ==,显然当,即a=时,sinθ最大.【解答】解:(1)证明:如图,取BC中点E,连接AE,ME,则:ME∥SC,CE=1;∵AD=1,AD∥CE;∴四边形ADCE是平行四边形;∴AE∥CD;又SC,CD⊂平面SCD,ME,AE⊄平面SCD;∴ME∥平面SCD,AE∥平面SCD,ME∩AE=E;∴平面AME∥平面SCD,AM⊂平面AME;∴AM∥平面SCD;(2)过N作NF∥AD;∵SA⊥底面ABCD,∴SA⊥AD,即AD⊥SA;又AD⊥AB,SA∩AB=A;∴AD ⊥平面SAB ; ∴NF ⊥平面SAB ;连接MF ,MN ,则:∠FMN 是MN 与面SAB 所成的角; ∴∠FMN=θ;由题意知NF=a ,延长BA 交CD 延长线于G ,则:;∴GA=2;由得:;∴FB=4﹣2a ;在△MBF 中,,由余弦定理得:MF 2=FB 2+BM 2﹣2FB •BM •cos45°=4a 2﹣12a +10;∴在Rt △MNF 中,MN=;∴sin θ==;∴,即a=时,sin θ取最大值.18.数列{a n }满足a 1=2,a n +1=(n ∈N +).(1)设b n =,求数列{b n }的通项公式b n ;(2)设c n =,数列{c n }的前n 项和为S n ,求出S n 并由此证明:≤S n <.【考点】数列的求和;数列递推式.【分析】(1)根据已知条件中的数列{a n }的递推公式,以及b n =,可将其转化为数列{b n }的一个递推公式,利用“累加求和”方法即可得出.(2)由(1)可求得数列{a n }的通项公式,进而求得{c n }的通项公式,可将其转化为一个等比数列与一个可用裂项相消法求和的数列的形式,即可得证.【解答】解:(1)由a n +1=(n ∈N +),可得:=,取倒数可得:﹣=n +,又b n =,∴b n +1﹣b n =n +.∴b n =(b n ﹣b n ﹣1)+(b n ﹣1﹣b n ﹣2)+…+(b 2﹣b 1)+b 1=++…++1=++1=.∴b n =.(2)证明:由(1)可得: =,可得a n =.c n =====,∴数列{c n }的前n 项和为S n =+++…+=+=﹣﹣.∵c n >0,∴S n ≥S 1=﹣=.∴≤S n <.19.已知椭圆E :=1(a >b >0)的离心率为,其长轴长与短轴长的和等于6.(1)求椭圆E 的方程;(2)如图,设椭圆E 的上、下顶点分别为A 1、A 2,P 是椭圆上异于A 1、A 2的任意一点,直线PA 1、PA 2分别交x 轴于点N 、M ,若直线OT 与过点M 、N 的圆G 相切,切点为T .证明:线段OT 的长为定值.【考点】直线与圆锥曲线的关系;椭圆的标准方程;椭圆的简单性质.【分析】(1)利用椭圆的标准方程及其性质即可得出;(2)利用直线的方程、点在椭圆上满足的条件、切割线定理即可得出.【解答】解:(1)由题意可得,解得.∴椭圆E的方程为.(2)有(1)可知:A1(0,1),A2(0,﹣1),设P(x0,y0),则.则直线PA1的方程为,令y=0,得x N=;直线PA2的方程为,令y=0,得.由切割线定理可得:|OT|2=|OM||ON|===4,∴|OT|=2,即线段OT的长为定值2.20.设函数f(x)=alnx﹣bx2(x>0);(1)若函数f(x)在x=1处与直线相切①求实数a,b的值;②求函数上的最大值.(2)当b=0时,若不等式f(x)≥m+x对所有的都成立,求实数m的取值范围.【考点】利用导数研究曲线上某点切线方程;导数在最大值、最小值问题中的应用.【分析】(1)①先求出原函数的导数:,欲求出切线方程,只须求出其斜率即可,故先利用导数求出在x=1处的导函数值,再结合导数的几何意义即可求出切线的斜率.列出关于a,b的方程求得a,b的值.②研究闭区间上的最值问题,先求出函数的极值,比较极值和端点处的函数值的大小,最后确定出最大值.(2)考虑到当b=0时,f(x)=alnx若不等式f(x)≥m+x对所有的都成立,转化为alnx≥m+x对所有的恒成立问题,再令h(a)=alnx﹣x,则h(a)为一次函数,问题又转化为m≤h(a)min最后利用研究函数h(x)的单调性即得.【解答】解:(1)①∵函数f(x)在x=1处与直线相切∴,解得②当时,令f'(x)>0得;令f'(x)<0,得1<x≤e∴上单调递增,在[1,e]上单调递减,∴(2)当b=0时,f(x)=alnx,若不等式f(x)≥m+x对所有的都成立,则alnx≥m+x,即m≤alnx﹣x对所有的都成立.令h(a)=alnx﹣x,则h(a)为一次函数,m≤h(a)min∵x∈(1,e2],∴lnx>0,∴上单调递增∴h(a)min=h(0)=﹣x,∴m≤﹣x对所有的x∈(1,e2]都成立,∵1<x≤e2,∴﹣e2≤﹣x<﹣1,∴m≤(﹣x)min=﹣e2.2016年11月25日。
浙江绍兴一中16-17学年高二上期中考试--英语(解析版)
根据短文内容,选择最佳答案,并将选定答案的字母标号填在题前括号内。
(1)Which sleeping position indicates that the sleeper tends to seek perfection?
A、The fetal position.
B、The log position.
Phipps found that worriers, those who stress the most, tend to sleep in the fetal (胎儿的) position. He found that this is the most common bedtime position, with nearly 58 percent of people sleeping on their side with knees up and head down. The more we curl up (蜷曲), the more comfort we are seeking, according to Phipps.
绍兴一中-2017学年高二上期中考试英语试卷(解析
浙江绍兴一中2016-2017学年高二上期中考试英语试卷(解析版)一、阅读理解1、阅读理解According to body language expert Robert Phipps, the way people sleep at night actually determines a lot about the type of personality they have. Phipps has identified four sleeping positions that affect personality. Phipps found that worriers, those who stress the most, tend to sleep in the fetal (胎儿的) position. He found that this is the most common bedtime position, with nearly 58 percent of people sleeping on their side with knees up and head down. The more we curl up (蜷曲), the more comfort we are seeking, according to Phipps. The second most common position is the log. Sleeping with a straight body, with arms at each side, as if they are standing guard at Buckingham Palace, indicates stubbornness, and these people (the 28 percent who sleep this way) often wake up stiffer than when they went to sleep. “The longer you sleep like this, the more rigid your thinking is and you can become inflexible, which means you make things harder for yourself,” according to Phipps. Yearner (向往) sleepers are next on the list. About 25 percent of people sleep in this style—on their side with arms stretched out in front, looking as if they are either chasing a dream or perhaps being chased themselves. Yearners are typically their own worst critics, always expecting the best results, explained Phipps. These people often wake up refreshed and eager to face the challenges of the dayahead. Perhaps the most peculiar (奇怪的) of sleep styles is the freefaller position. This sleep style makes up 17 percent of the population. They sleep face down with arms stretched out. These people, according to Phipps, feel like they have little control over their life. Not only is this the strangest of sleep styles, but also the least comfortable, and people may wake up feeling tired and have no energy. Inconclusion, Phipps has only one more thing to add: “A good night's sleep set you up for the following day and our sleeping positions can determine how we feel when we wake.”根据短文内容,选择最佳答案,并将选定答案的字母标号填在题前括号内。
绍兴文理学院试卷模版
绍兴文理学院2017-2018学年第一学期专业级《》考核命题卷(含答题卷) (编号A、B)(注:黑体四号字,打印时编号改为A或B,题卷与答卷基本格式一致)(考核形式:□闭卷□开卷□(其他形式请注明))(注:宋体五号字)一、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)二、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)三、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)四、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)- 1 -五、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)六、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)七、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)八、(共分,每小题分)(注:宋体小四号字)1.2.(注:宋体五号字)- 2 -- 1 -绍兴文理学院2017-2018学年第一学期专业 级《 》考核命题参考答案及评价标准(编号A 、B )(注:黑体四号字,打印时编号改为A 或B )一、(共 分,每小题 分) (注:宋体小四号字)1. 2.(注:宋体五号字;每小题分值在5分以上的需细化分值)二、(共 分,每小题 分) (注:宋体小四号字)1. 2.(注:宋体五号字;每小题分值在5分以上的需细化分值)三、(共 分,每小题 分) (注:宋体小四号字)1.2.(注:宋体五号字;每小题分值在5分以上的需细化分值)四、(共 分,每小题 分) (注:宋体小四号字)1. 2.(注:宋体五号字;每小题分值在5分以上的需细化分值)五、(共 分,每小题 分) (注:宋体小四号字)1.2.(注:宋体五号字;每小题分值在5分以上的需细化分值)六、(共 分,每小题 分) (注:宋体小四号字) 1. 2.(注:宋体五号字;每小题分值在5分以上的需细化分值)七、(共 分,每小题 分) (注:宋体小四号字) 1. 2.(注:宋体五号字;每小题分值在5分以上的需细化分值)八、(共 分,每小题 分) (注:宋体小四号字) 1. 2.(注:宋体五号字;每小题分值在5分以上的需细化分值)。
浙江省绍兴一中2016-2017学年高二上学期期中数学试卷Word版含解析
2016-2017学年浙江省绍兴一中高二(上)期中数学试卷一、选择题(本大题共8小题,每小题3分,共24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.已知直线l的斜率为﹣1,则直线l的倾斜角为()A.0 B.C.D.2.某几何体的正视图与侧视图如图所示,若该几何体的体积为,则该几何体的俯视图可以是()A.B.C.D.3.一个空间几何体的正视图和侧视图都是边长为1的正三角形,俯视图是一个直径为1的圆,那么这个几何体的全面积为()A.B. C.πD.2π4.已知PA⊥矩形ABCD所在平面,PA≠AD,M,N分别是AB,PC的中点,则MN垂直于()A.AD B.CD C.PC D.PD5.在棱长为a的正方体ABCD﹣A1B1C1D1中,M为AB的中点,则点C到平面A1DM 的距离为()A.B. a C. a D.a6.已知α,β是相异两平面,m,n是相异两直线,则下列命题中不正确的是()A .若m ∥n ,m ⊥α,则n ⊥αB .若m ⊥α,m ⊥β,则α∥βC .若m ∥α,α∩β=n ,则m ∥nD .若m ⊥α,m ⊂β,则α⊥β7.在棱锥P ﹣ABC 中,侧棱PA 、PB 、PC 两两垂直,Q 为底面△ABC 内一点,若点Q 到三个侧面的距离分别为3、4、5,则以线段PQ 为直径的球的体积为( )A .B .C .D .8.正方体ABCD ﹣A 1B 1C 1D 1中,点M 、N 分别在线段AB 1、BC 1上,且AM=BN .以下结论:①AA 1⊥MN ;②A 1C 1∥MN ;③MN ∥平面A 1B 1C 1D 1;④MN 与A 1C 1异面,⑤MN 与 A 1C 1成30°.其中有可能成立的结论的个数为( )A .5B .4C .3D .2二、填空题(本大题共7小题,每小题4分,共28分)9.若经过点P (1﹣a ,1+a )和Q (3,2a )的直线的倾斜角为钝角,求实数a 的取值范围.10.如图,P 为三棱柱ABC ﹣A 1B 1C 1的侧棱AA 1上的一个动点,若四棱锥P ﹣BCC 1B 1的体积为V ,则三棱柱ABC ﹣A 1B 1C 1的体积为 (用V 表示)11.如图,在正方体ABCD ﹣A 1B 1C 1D 1中,点P 在侧面BCC 1B 1及其边界上运动,并且总是保持AP 与BD 1垂直,则动点P 的轨迹为 .12.平面四边形ABCD中,AB=AD=CD=1,BD=,BD⊥CD,将其沿对角线BD 折成四面体A′﹣BCD,使平面A′BD⊥平面BCD,若四面体A′﹣BCD顶点在同一个球面上,则该球的表面积.13.平面α过正方体ABCD﹣A1B1C1D1的顶点A,α∥平面CB1D1,α∩平面ABCD=m,α∩平面AB B1A1=n,则m,n所成角的正弦值为.14.如图所示的几何体中,四边形ABCD是矩形,平面ABCD⊥平面ABE,已知AB=2,AE=BE=,且当规定正视图方向垂直平面ABCD时,该几何体的侧视图的面积为.若M、N分别是线段DE、CE上的动点,则AM+MN+NB的最小值为.15.如图,在三棱锥A﹣BCD中,AB⊥AD,AC⊥AD,∠BAC=60°,AB=AC=AD=4,点P,Q分别在侧面ABC棱AD上运动,PQ=2,M为线段PQ中点,当P,Q运动时,点M的轨迹把三棱锥A﹣BCD分成上、下两部分的体积之比等于.三、解答题(本大题共5小题,共48分.解答应写出文字说明、证明过程或演算过程)16.(8分)在长方体ABCD﹣A1B1C1D1中,已知DA=DC=4,DD1=3,求直线A1B 与平面ACC1A1所成角的正弦值.17.(8分)已知两点A(﹣1,2),B(m,3).且实数m∈[﹣﹣1,﹣1],求直线AB的倾斜角α的取值范围.18.(10分)一个多面体的直观图,正(主)视图,侧(左)视图如下所示,其中正(主)视图、侧(左)视图为边长为a的正方形.(1)请在指定的框内画出多面体的俯视图;(2)若多面体底面对角线AC,BD交于点O,E为线段AA1的中点,求证:OE ∥平面A1C1C;(3)求该多面体的表面积.19.(10分)如图,在三棱柱ABC﹣A1B1C1中,已知AB⊥侧面BB1C1C,CB⊥C1B,BC=1,CC1=2,A1B1=,(1)试在棱CC1(不包含端点C,C1)上确定一点E的位置,使得EA⊥EB1;(2)在(Ⅰ)的条件下,求AE和BC1所成角.20.(12分)已知梯形ABCD中,AD∥BC,∠ABC=∠BAD=π/2,AB=BC=2AD=4,E,F分别是AB,CD上的点,EF∥BC,AE=x,G是BC的中点,沿EF将梯形ABCD 翻折,使平面AEFD⊥平面EBCF.(1)当x=2时,①求证:BD⊥EG;②求二面角D﹣BF﹣C的余弦值;(2)三棱锥D﹣FBC的体积是否可能等于几何体ABE﹣FDC体积的一半?并说明理由.2016-2017学年浙江省绍兴一中高二(上)期中数学试卷参考答案与试题解析一、选择题(本大题共8小题,每小题3分,共24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.已知直线l的斜率为﹣1,则直线l的倾斜角为()A.0 B.C.D.【考点】确定直线位置的几何要素.【分析】设直线l的倾斜角为θ,θ∈[θ,π).可得tanθ=﹣1,解得θ.【解答】解:设直线l的倾斜角为θ,θ∈[θ,π).∴tanθ=﹣1,解得.故选:D.【点评】本题考查了直线的倾斜角与斜率之间的关系、三角函数求值,考查了推理能力与计算能力,属于基础题.2.某几何体的正视图与侧视图如图所示,若该几何体的体积为,则该几何体的俯视图可以是()A.B.C.D.【考点】简单空间图形的三视图.【分析】由正视图与侧视图可知,这是一个锥体,根据所给的锥体的体积和锥体的高,得到这个锥体的底面面积的值,根据面积确定图形,这是选择题目特有的方法.【解答】解:由正视图与侧视图可知,这是一个锥体,根据锥体的体积是知=,∴s=1,即底面面积是1,在所给的四个图形中,只有正方形是一个面积为1的图形,故选D.【点评】本题考查由几何体确定俯视图,本题是一个基础题,题目的解决方向非常明确,只要得到一个底面面积是1的图形就可以.3.一个空间几何体的正视图和侧视图都是边长为1的正三角形,俯视图是一个直径为1的圆,那么这个几何体的全面积为()A.B. C.πD.2π【考点】棱柱、棱锥、棱台的侧面积和表面积.【分析】由三视图及题设条件知,此几何体为一个倒放的圆锥,由正视图和侧视图都是边长为•的正三角形可知此圆锥的半径与圆锥的高,故解三角形求出其高即可求得几何体的表面积.【解答】解:此几何体是一个圆锥,由正视图和侧视图都是边长为1的正三角形,其底面半径为,且其高为正三角形的高由于此三角形的高为,故圆锥的高为此全面积为=,故选:B.【点评】本题考点是由三视图求几何体的面积、体积,考查对三视图的理解与应用,主要考查三视图与实物图之间的关系,用三视图中的数据还原出实物图的数据,再根据相关的公式求表面积与体积,本题求的是圆锥的体积.三视图的投影规则是:“主视、俯视长对正;主视、左视高平齐,左视、俯视宽相等”.4.已知PA⊥矩形ABCD所在平面,PA≠AD,M,N分别是AB,PC的中点,则MN垂直于()A.AD B.CD C.PC D.PD【考点】直线与平面垂直的性质.【分析】连结AC、取AC中点为O,连结NO、MO,可得CD⊥面MNO即可..【解答】解:连结AC、取AC中点为O,连结NO、MO,如图所示:∵N、O分别为PC、AC中点,∴NO∥PA,∵PA⊥面ABCD,∴NO⊥面ABCD,∴NO⊥CD.又∵M、O分别为AB、AC中点,∴MO⊥CD,∵NO∩MO=O,∴CD⊥面MNO,∴CD⊥MN.故选:B.【点评】本题考查了通过线面垂直判定线线垂直,属于基础题.5.在棱长为a的正方体ABCD﹣A1B1C1D1中,M为AB的中点,则点C到平面A1DM 的距离为()A .B . aC . aD . a【考点】点、线、面间的距离计算.【分析】连接A 1C 、MC ,三棱锥A 1﹣DMC 就是三棱锥C ﹣A 1MD ,利用三棱锥的体积公式进行转换,即可求出点C 到平面A 1DM 的距离. 【解答】解:连接A 1C 、MC 可得=△A 1DM 中,A 1D=,A 1M=MD=∴=三棱锥的体积:所以d(设d 是点C 到平面A 1DM 的距离)∴=故选A .【点评】本题以正方体为载体,考查了立体几何中点、线、面的距离的计算,属于中档题.运用体积计算公式,进行等体积转换来求点到平面的距离,是解决本题的关键.6.已知α,β是相异两平面,m,n是相异两直线,则下列命题中不正确的是()A.若m∥n,m⊥α,则n⊥αB.若m⊥α,m⊥β,则α∥βC.若m∥α,α∩β=n,则m∥n D.若m⊥α,m⊂β,则α⊥β【考点】空间中直线与平面之间的位置关系.【分析】在A中,由直线与平面垂直的判定定理得n⊥α;在B中,由平面与平面平行的判定定理得α∥β;在C中,m与n平行或异面;在D中,由平面与平面垂直的判定定理得α⊥β.【解答】解:∵在A中:若m∥n,m⊥α,则由直线与平面垂直的判定定理得n ⊥α,故A正确;在B中:若m⊥α,m⊥β,则由平面与平面平行的判定定理得α∥β,故B正确;在C中:若m∥α,α∩β=n,则m与n平行或异面,故C错误;在D中:若m⊥α,m∩β,则由平面与平面垂直的判定定理得α⊥β,故D正确.故选:C.【点评】本题考查命题真假的判断,是中档题,解题时要认真审题,注意空间中线线、线面、面面间的位置关系的合理运用.7.在棱锥P﹣ABC中,侧棱PA、PB、PC两两垂直,Q为底面△ABC内一点,若点Q到三个侧面的距离分别为3、4、5,则以线段PQ为直径的球的体积为()A.B.C.D.【考点】球的体积和表面积.【分析】根据题意,点Q到三个侧面的垂线与侧棱PA、PB、PC围成一个棱长为3、4、5的长方体,分析可知以PQ为直径的球是它的外接球,再由长方体和其外接球的关系求解.【解答】解:根据题意:点Q到三个侧面的垂线与侧棱PA、PB、PC围成一个棱长为3、4、5的长方体,则其外接球的直径即为PQ且为长方体的体对角线.∴2r==5,∴r=,由球的体积公式得:S=πr3=π.故选B.【点评】本题主要考查空间几何体的构造和组合体的基本关系,确定外接球的直径即为PQ且为长方体的体对角线是关键.8.正方体ABCD﹣A1B1C1D1中,点M、N分别在线段AB1、BC1上,且AM=BN.以下结论:①AA1⊥MN;②A1C1∥MN;③MN∥平面A1B1C1D1;④MN与A1C1异面,⑤MN与A1C1成30°.其中有可能成立的结论的个数为()A.5 B.4 C.3 D.2【考点】棱柱的结构特征.【分析】①作NE⊥BC,MF⊥AB,垂足分别为E,F,可得四边形MNEF是矩形,可得MN∥FE,利用AA1⊥面AC,可得结论成立;由①知,MN∥面AC,面AC∥平面A1B1C1D1,故MN∥平面A1B1C1D1;MN∥FE,FE与AC所在直线相交时,MN与A1C1异面,FE与AC平行时,则平行,故②④可能成立;⑤EF与AC成30°时,MN与A1C1成30°.【解答】解:①作NE⊥BC,MF⊥AB,垂足分别为E,F,∵AM=BN,∴NE=MF,∴四边形MNEF是矩形,∴MN∥FE,∵AA1⊥面AC,EF⊂面AC,∴AA1⊥EF,∴AA1⊥MN,故①正确;由①知,MN∥面AC,面AC∥平面A1B1C1D1,∴MN∥平面A1B1C1D1,故③正确;MN∥FE,FE与AC所在直线相交时,MN与A1C1异面,FE与AC平行时,则平行,故②④可能成立;⑤EF与AC成30°时,MN与A1C1成30°.故选A.【点评】本题考查线面平行、垂直,考查线面角的计算,考查学生分析解决问题的能力,属于中档题.二、填空题(本大题共7小题,每小题4分,共28分)9.若经过点P(1﹣a,1+a)和Q(3,2a)的直线的倾斜角为钝角,求实数a 的取值范围.【考点】直线的倾斜角.【分析】由直线的倾斜角α为钝角,能得出直线的斜率小于0,解不等式求出实数a的取值范围;【解答】解:∵过P(1﹣a,1+a)和Q(3,2a)的直线的倾斜角α为钝角,∴直线的斜率小于0,即<0,即,解得﹣2<a<1,故a的取值范围为(﹣2,1).【点评】本题考查直线的斜率公式及直线的倾斜角与斜率的关系.10.如图,P为三棱柱ABC﹣A1B1C1的侧棱AA1上的一个动点,若四棱锥P﹣BCC1B1的体积为V,则三棱柱ABC﹣A1B1C1的体积为(用V表示)【考点】棱柱、棱锥、棱台的体积.【分析】利用AA1到对面距离不变,转化P到A点,利用棱锥与棱柱的体积关系,即可得出结论.【解答】解:由题意,P为三棱柱ABC﹣A1B1C1的侧棱AA1上的一个动点,所以AA1到对面距离不变,移动P到A点,由棱锥的体积的推导方法可知:四棱锥P﹣BCC1B1的体积=×三棱柱ABC﹣A1B1C1的体积,∴三棱柱ABC﹣A1B1C1的体积=.故答案为.【点评】本题考查棱柱、棱锥、棱台的体积,考查学生的计算能力,基本知识的考查.11.如图,在正方体ABCD﹣A1B1C1D1中,点P在侧面BCC1B1及其边界上运动,并且总是保持AP与BD1垂直,则动点P的轨迹为线段CB1.【考点】直线与平面垂直的性质.【分析】如图,先找到一个平面总是保持与BD1垂直,即BD1⊥面ACB1,又点P 在侧面BCC1B1及其边界上运动,并且总是保持AP与BD1垂直,得到点P的轨迹为面ACB1与面BCC1B1的交线段,结合平面的基本性质知这两个平面的交线是CB1.【解答】解:如图,先找到一个平面总是保持与BD1垂直,连接AC,AB1,B1C,在正方体ABCD﹣A1B1C1D1中,易得BD1⊥CB1,BD1⊥AC;则BD1⊥面ACB1,又点P在侧面BCC1B1及其边界上运动,根据平面的基本性质得:点P的轨迹为面ACB1与面BCC1B1的交线段CB1.故答案为线段CB1.【点评】本题考查线面垂直的判定与正方体的几何特征、轨迹的求法、平面的基本性质等基础知识,考查空间想象力.属于基础题.12.平面四边形ABCD中,AB=AD=CD=1,BD=,BD⊥CD,将其沿对角线BD 折成四面体A′﹣BCD,使平面A′BD⊥平面BCD,若四面体A′﹣BCD顶点在同一个球面上,则该球的表面积3π.【考点】球的体积和表面积.【分析】由题意,BC的中点就是球心,求出球的半径,即可得到球的表面积.【解答】解:由题意,四面体A﹣BCD顶点在同一个球面上,△BCD和△ABC都是直角三角形,所以BC的中点就是球心,所以BC=,球的半径为:所以球的表面积为:=3π.故答案为:3π.【点评】本题是基础题,考查四面体的外接球的表面积的求法,找出外接球的球心,是解题的关键,考查计算能力,空间想象能力.13.平面α过正方体ABCD﹣A1B1C1D1的顶点A,α∥平面CB1D1,α∩平面ABCD=m,α∩平面AB B1A1=n,则m,n所成角的正弦值为.【考点】异面直线及其所成的角.【分析】如图:α∥平面CB1D1,α∩平面ABCD=m,α∩平面ABA1B1=n,可知:n ∥CD1,m∥B1D1,由△CB1D1是正三角形,即可得出m、n所成角.【解答】解:如图:α∥平面CB1D1,α∩平面ABCD=m,α∩平面ABA1B1=n,可知:n∥CD1,m∥B1D1,∵△CB1D1是正三角形.m、n所成角就是∠CD1B1=60°.则m、n所成角的正弦值为:.故答案为:.【点评】本题考查了空间位置关系、异面直线所成的角、等边三角形的性质,考查了数形结合方法、推理能力与计算能力,属于中档题.14.如图所示的几何体中,四边形ABCD是矩形,平面ABCD⊥平面ABE,已知AB=2,AE=BE=,且当规定正视图方向垂直平面ABCD时,该几何体的侧视图的面积为.若M、N分别是线段DE、CE上的动点,则AM+MN+NB的最小值为3.【考点】由三视图还原实物图.【分析】由几何体的侧视图的面积为求出几何体的高AD,再四棱锥E﹣ABCD 的侧面AED、DEC、CEB展开铺平,在平面内利用余弦定理求得线段AM+MN+NB 长为所求.【解答】解:取AB中点F,∵AE=BE=,∴EF⊥AB,∵平面ABCD⊥平面ABE,∴EF⊥平面ABCD,易求EF=,左视图的面积S=AD•EF=AD=,∴AD=1,∴∠AED=∠BEC=30°,∠DEC=60°,将四棱锥E﹣ABCD的侧面AED、DEC、CEB展开铺平如图,则AB2=AE2+BE2﹣2AE•BE•cos120°=3+3﹣2×3×(﹣)=9,∴AB=3,∴AM+MN+BN的最小值为3.故答案为:3.【点评】本题考查由三视图还原实物图,解题的关键是由三视图还原出实物图的几何特征及其度量,还考查曲面距离最值问题,采用化曲面为平面的办法.须具有空间想象能力、转化、计算能力.15.如图,在三棱锥A﹣BCD中,AB⊥AD,AC⊥AD,∠BAC=60°,AB=AC=AD=4,点P,Q分别在侧面ABC棱AD上运动,PQ=2,M为线段PQ中点,当P,Q运动时,点M的轨迹把三棱锥A﹣BCD分成上、下两部分的体积之比等于.【考点】棱柱、棱锥、棱台的体积.【分析】由已知中三棱锥A﹣BCD中,AB⊥AD,AC⊥AD,∠BAC=60°,AB=AC=AD=4,我们易计算出三棱锥A﹣BCD的体积,又由点P,Q分别在侧面ABC棱AD上运动,PQ=2,M为线段PQ中点,我们可以判断M的轨迹与三棱锥转成的两个几何体的体积,进而得到答案.【解答】解:∵三棱锥A﹣BCD中,AB⊥AD,AC⊥AD,∠BAC=60°,AB=AC=AD=4,则棱锥A﹣BCD的体积V==又∵点P,Q分别在侧面ABC棱AD上运动,PQ=2,M为线段PQ中点,∴点M的轨迹在以A为球心以1半径的球面上则点M的轨迹把三棱锥A﹣BCD分成上、下两部分的体积之比为::(﹣)=,故答案为.【点评】本题考查的知识点是棱锥的体积及球的体积,其中判断出M的轨迹在以A为球心以1半径的球面上是解答本题的关键.三、解答题(本大题共5小题,共48分.解答应写出文字说明、证明过程或演算过程)16.在长方体ABCD﹣A1B1C1D1中,已知DA=DC=4,DD1=3,求直线A1B与平面ACC1A1所成角的正弦值.【考点】直线与平面所成的角.【分析】连接BD,BD∩AC=O,连接A1O,则BD⊥AC,BD⊥平面ACC1A1,∠BA1O 是直线A1B与平面ACC1A1所成角.【解答】解:连接BD,BD∩AC=O,连接A1O,则BD⊥AC,BD⊥平面ACC1A1,∠BA1O是直线A1B与平面ACC1A1所成角.∵DA=DC=4,DD1=3,∴BO=2,A1B=,∴直线A1B与平面ACC1A1所成角的正弦值=.【点评】此题考查了直线与平面所成的角,找出直线与平面所成的角是解本题的关键.17.已知两点A(﹣1,2),B(m,3).且实数m∈[﹣﹣1,﹣1],求直线AB的倾斜角α的取值范围.【考点】直线的倾斜角.【分析】分类讨论,当m=﹣1时,直线AB倾斜角α=;②当m≠﹣1时,直线AB的斜率为,再利用正切函数的单调性求出倾斜角α的范围【解答】解:①当m=﹣1时,直线AB倾斜角α=;②当m≠﹣1时,直线AB的斜率为,∵m+1∈[﹣,],∴k=∈(﹣∞,﹣]∪[,+∞),∴α∈[,)∪(,],综合①②知,直线AB的倾斜角α∈∈[,].【点评】本题考查了直线的斜率与倾斜角之间的关系、正切函数的单调性,考查了分类讨论的思想方法,考查了推理能力和计算能力,属于中档题.18.(10分)(2012•安徽模拟)一个多面体的直观图,正(主)视图,侧(左)视图如下所示,其中正(主)视图、侧(左)视图为边长为a的正方形.(1)请在指定的框内画出多面体的俯视图;(2)若多面体底面对角线AC,BD交于点O,E为线段AA1的中点,求证:OE ∥平面A1C1C;(3)求该多面体的表面积.【考点】直线与平面平行的判定;简单空间图形的三视图;棱柱、棱锥、棱台的侧面积和表面积.【分析】(1)根据多面体的直观图、正(主)视图、侧(左)视图,得到俯视图.(2)连接AC,BD交于O点,因为E为AA1的中点,可得OE为△AA1C的中位线,OE∥A1C,从而证得OE∥平面A1C1C.(3)由三示图可知多面体表面共包括10个面,S ABCD=a2,,再求出,的值,由表面积,运算求出结果.【解答】解:(1)根据多面体的直观图、正(主)视图、侧(左)视图,得到俯视图如下:(2)证明:如图,连接AC,BD交于O点,因为E为AA1的中点,O为AC的中点,所以在△AA1C中,OE为△AA1C的中位线,所以OE∥A1C,∵OE⊄平面A1C1C,A1C1⊂平面A1C1C,所以OE∥平面A1C1C.(3)由三示图可知多面体表面共包括10个面,S ABCD=a2,,,,所以表面积.【点评】本题考查几何体的三视图,证明直线和平面平行的方法,求几何体的表面积,体现了数形结合的数学思想,是一道中档题19.(10分)(2016秋•越城区校级期中)如图,在三棱柱ABC﹣A1B1C1中,已知AB⊥侧面BB1C1C,CB⊥C1B,BC=1,CC1=2,A1B1=,(1)试在棱CC1(不包含端点C,C1)上确定一点E的位置,使得EA⊥EB1;(2)在(Ⅰ)的条件下,求AE和BC1所成角.【考点】异面直线及其所成的角;棱柱的结构特征.【分析】(1)由EA⊥EB1,AB⊥EB1,AB∩AE=A,AB,AE⊂平面ABE,从而B1E ⊥平面ABE且BE⊂平面ABE,故BE⊥B1E.利用余弦定理及其勾股定理即可得出.(2)取BC中点D,则DE∥BC1,连接AD,所以∠AED或其补角为异面直线AE和BC1所成角所成的角.利用余弦定理即可得出.【解答】解:(1)由EA⊥EB1,AB⊥EB1,AB∩AE=A,AB,AE⊂平面ABE,从而B1E⊥平面ABE且BE⊂平面ABE,故BE⊥B1E.不妨设CE=x,则C1E=2﹣x,∵∠BCC1=60°,∴BE2=1+x2﹣x,∵∠BCC1=60°,∴∠B1C1C=120°,∴.在Rt△BEB1中有1+x2﹣x+x2﹣5x+7=4,从而x=1或x=2(当x=2时E与C1重合不满足题意).故E为CC1的中点时,EA⊥EB1.(2)取BC中点D,则DE∥BC1,连接AD,所以∠AED或其补角为异面直线AE和BC1所成角所成的角.∵,∴cos∠AED==,∴∠AED=60°.【点评】本题考查了空间位置关系、空间角、余弦定理与勾股定理,考查了推理能力与计算能力,属于中档题.20.(12分)(2016秋•越城区校级期中)已知梯形ABCD中,AD∥BC,∠ABC=∠BAD=π/2,AB=BC=2AD=4,E,F分别是AB,CD上的点,EF∥BC,AE=x,G是BC的中点,沿EF将梯形ABCD翻折,使平面AEFD⊥平面EBCF.(1)当x=2时,①求证:BD⊥EG;②求二面角D﹣BF﹣C的余弦值;(2)三棱锥D﹣FBC的体积是否可能等于几何体ABE﹣FDC体积的一半?并说明理由.【考点】棱柱、棱锥、棱台的体积;平面与平面垂直的判定;二面角的平面角及求法.【分析】(1)①:过D点作EF的垂线交EF于H,连接BH,由已知得四边形ADHE是正方形,四边形EHGB是正方形,由此能证明BD⊥EG.②以E为原点,EB为x轴,EF为y轴,EA为z轴,建立空间直角坐标系,利用向量法能求出二面角D﹣BF﹣C的余弦值.(2)由已知得三棱锥D﹣BCF的体积为V===,V ABE﹣FDC =V ABE﹣DGH+V D﹣HGCF=>2V,从而棱锥D﹣FBC的体积不可能等于几何体ABE﹣FDC体积的一半.【解答】(1)①证明:过D点作EF的垂线交EF于H,连接BH.如图.∵AE=AD=2且AE∥DH,AD∥EF,∠A=.∴四边形ADHE是正方形∵EH=2∴四边形EHGB是正方形即:BH⊥EG(正方形对角线互为垂直)∵△BDH所在平面⊥平面EHGB,∴EG⊥△BDH所在平面即:BD⊥EG.②解:以E为原点,EB为x轴,EF为y轴,EA为z轴,建立空间直角坐标系,B(2,0,0),F(0,3,0),D(0,2,2),C(2,4,0),=(﹣2,3,0),=(﹣2,2,2),设平面BDF的法向量=(x,y,z),则,取x=3,得=(3,2,1),又平面BCF的法向量=(0,0,1),cos<>===.∴二面角D﹣BF﹣C的余弦值为.(2)解:∵AE⊥EF,平面AEFD⊥平面EBCF,平面AEFD∩平面EBCF=EF,AE⊂平面AEFD.∴AE⊥面EBCF.结合DH⊥平面EBCF,得AE∥DH,∴四边形AEHD是矩形,得DH=AE,故以F、B、C、D为顶点的三棱锥D﹣BCF的高DH=AE=x,又∵S△BCF=BC•BE==8﹣2x.∴三棱锥D﹣BCF的体积为V===,V ABE﹣FDC =V ABE﹣DGH+V D﹣HGCF===>2V,∴棱锥D﹣FBC的体积不可能等于几何体ABE﹣FDC体积的一半.【点评】本题给出平面折叠问题,求证直线与直线垂直,求体积的最大值并求此时异面直线所成角大小.着重考查了面面垂直的性质定理、线面垂直的判定与性质和异面直线所成角大小的求法等知识,属于中档题.。
2016-2017学年浙江省绍兴一中高一上学期期中考试语文试题
绍兴一中2016-2017学年第一学期期中考试高一语文试卷命题:洪波、唐海燕校对:洪波、唐海燕注意:1、本试卷共7页,满分100分,考试时间120分钟。
2、本试卷全部答案须答在答题纸上,答在试卷上的答案无效。
一、选择题(每题2分,共24分)1.下列加点字注音全都正确的一项是()A.妥帖.(tiē)笔杆.(gǎn)不啻.(chì)铜枝铁干.(gàn)B.愀.然(qiǎo)忧悒.(yì) 跬.(kuǐ)步绿.林豪客(lǜ)C.侘傺.(chì)翘.首(qiào)戕.(qiāng)害挥斥方遒.(qiú)D.赭.色(zhě)田塍.(chãng)创.(chuàng)痕锲.(qiâ)而不舍2.下列各句中,没有错别字的一项是()A.人会在闯荡世界之中获得生命的快感或满足按耐不住的虚荣心。
因此,人的内心总在呐喊:走啊走!B.我不应白白地耗废时间,去无尽地感慨生命的艰辛,也不应该自艾自怜命运怎么这样不济,偏偏给了我这样一块不毛之地。
C.这恶魔似的铁马,那振耳欲聋的机器喧嚣声已经传遍全乡镇了,它已经用肮脏的工业脚步使湖水混浊了。
D.晴和的冬日,蜇居一地,门对长桥,窗临远阜,乃美事一桩;三五成群,曝背谈天,亦是美事一桩。
3.下列各句中加点的熟语使用正确的一项是()A.他这样做自以为很稳妥,其实是如履薄冰....,稍不注意就会出现错误。
B.三峡移民虽是好些年前的事了,但各地政府积极做好三峡库区农民外迁工作,安土重迁....,使移民高高兴兴地搬进新家的情形仍历历在目。
C.相比于持续火爆的住宅市场,多年来,写字楼市场一直处于不瘟不火....的状态,与同地段的住宅楼相比,写字楼的销量要小得多。
D.发展教育,扩大招生,也要看本地区的具体条件,看菜吃饭....,切不可只为了....,量体裁衣什么“率”而盲目进行。
4.下列各句中没有语病的一项是()A.新型激光光动力疗法作为一种精确制导、定向爆破的高科技医疗技术,近年来在临床上取得了很好的疗效,为许多血管瘤患者解除了“心腹之患”。
绍兴文理学院2017 学年第 1 学期期中考试
绍兴文理学院 2017 学年第 1 学期普通本科专业 2017 级《大学英语A1 》综合测试卷(卷B)Part I Listening Comprehension (共30分)Section A(1-8题每题0.5分,9-15题每题2分,共18分。
)Directions: Choose one word which has different pronunciation from the other three (4%) ()1. A. Subtle B. tomb C. cabinet D. doubt()2. A. censor B. courtesy C. circle D. cynical()3. A. condemn B. mutton C. solemn D. damn()4. A. wrestle B. wreckage C. wrinkle D. weary()5. A. shepherd B. rhetoric C. forehead D. inherit()6. A. psychology B. cupboard C. punctual D. corps()7. A. cage B. bridge C. kangaroo D. giraffe()8. A. hidden B. resent C. interest D. palelyQuestions 9 to 12 are based on the conversation you have just heard.9. A) He has lost his office key. B) He has taken the wrong exams.C) He is unable to talk. D) He doesn’t like his new class.10. A) Check the latest homework assignment.B) Put a notice of class change on the classroom door.C) Rearrange the class with students.D) Return some exam papers to his students.11. A) The name list of his class. B) The key to Duke’s office.C) The notice he wants others to put on the board in his classroom.D) The students’ homework.12. A) To ask the students to hand in their homework on time.B) To take notes of prof. Mailer’s course to Duke.C) To tell prof. Mailer about Duke’ s next assignment for his students.D) To inform Duke of the cancellation of the class. Questions 13 to 15 are based on the conversation you have just heard.13. A) More work as an instructor. B) More students to work with him.C) More time for him to finish the research. D) A new research lab.14. A) He’ll accept the offer. B) He wouldn’t like to t each more.C) He would like to take some time to decide.D) He wants the approval from his adviser.15. A) To persuade Tom to accept the offer.B) To remind him that he has got a lot of gifts.C) To discuss with him the research approach.D) To congratulate him on the good marks on the exam.Section B ( 16-21题每题2分,共12分。
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绍兴文理学院 2017 学年第 1 学期普通本科专业 2017 级《大学英语A1 》综合测试卷(卷B)Part I Listening Comprehension (共30分)Section A(1-8题每题0.5分,9-15题每题2分,共18分。
)Directions: Choose one word which has different pronunciation from the other three (4%) ()1. A. Subtle B. tomb C. cabinet D. doubt()2. A. censor B. courtesy C. circle D. cynical()3. A. condemn B. mutton C. solemn D. damn()4. A. wrestle B. wreckage C. wrinkle D. weary()5. A. shepherd B. rhetoric C. forehead D. inherit()6. A. psychology B. cupboard C. punctual D. corps()7. A. cage B. bridge C. kangaroo D. giraffe()8. A. hidden B. resent C. interest D. palelyQuestions 9 to 12 are based on the conversation you have just heard.9. A) He has lost his office key. B) He has taken the wrong exams.C) He is unable to talk. D) He doesn’t like his new class.10. A) Check the latest homework assignment.B) Put a notice of class change on the classroom door.C) Rearrange the class with students.D) Return some exam papers to his students.11. A) The name list of his class. B) The key to Duke’s office.C) The notice he wants others to put on the board in his classroom.D) The students’ homework.12. A) To ask the students to hand in their homework on time.B) To take notes of prof. Mailer’s course to Duke.C) To tell prof. Mailer about Duke’ s next assignment for his students.D) To inform Duke of the cancellation of the class. Questions 13 to 15 are based on the conversation you have just heard.13. A) More work as an instructor. B) More students to work with him.C) More time for him to finish the research. D) A new research lab.14. A) He’ll accept the offer. B) He wouldn’t like to t each more.C) He would like to take some time to decide.D) He wants the approval from his adviser.15. A) To persuade Tom to accept the offer.B) To remind him that he has got a lot of gifts.C) To discuss with him the research approach.D) To congratulate him on the good marks on the exam.Section B ( 16-21题每题2分,共12分。
)Directions:In this section, you will hear 3 short passages. At the end of each passage, you will hear some questions. Both the passage and the questions will be spoken only once. After you hear a question, you must choose the best answer from the four choices marked A) ,B) ,C)and D). Then mark the corresponding letter on Answer Sheet with a single line through the center.Passage OneQuestions 16 to 18 are based on the passage you have just heard.16. A) Trying to cure him. B) Doing the doctor’s job.C) Preventing the injury from becoming worse.D) Giving him artificial breathing at once.17. A) Call for the doctor immediately.B) Give him artificial breathing at once.C) Loosen any tight clothing he is wearing.D) Do not move him until a doctor comes.18. A) In every workshop. B) In every family.C) In every hospital. D) In every place you live;Passage TwoQuestions 19 to 21 are based on the passage you have just heard.19.A) It i s not rude for the French to butt in on each other’s conversations.B) Everyone in France has opinions’ on arts, culture and politics.C) The French do not care about their private-affairs.D) The French consider it rather impolite to talk with on e’s hands in one’s pockets.20. A) The French. B) The Englishmen. C) The Japanese. D) Not mentioned.21. A).They use the voice. B) They use eyes, hands, lips and shoulders.C) They use eyebrows. D) They use conversations.Part II. Vocabulary (共15分,每题1分)1.Fill in the gaps with words or phrases given in the following form.1) , it was the wrong time to open a new data processing center in this city.2) The workers’ demands can be as follows: shorter hours and more pay.3) You don’t have to sacrifice environmental protection to economic growth.4) He a lot of English during his one-year stay in America.5) Yet I feel a passing whim to attain the material things so many other people have.6) John’s view on the train crash stands those of almost all of his colleagues.7) You’re free to say what you think, but as a responsible individual you should also be prepared to face the of what you say.8) The abrupt change in her priorities was jolting. It remains a most memorable turning point in my personal journey.9) He left the office because he could no longer stand the gossip.10) Apartment hunting can be a painful and experience, especially for students and other young people on a limited budget.2. Match the definitions in the Right column with the words or phrases in the Left column.11) narrow down K. experience (sth. difficult or unpleasant)12) welfare L. an important event or discovery13) go through M. sudden and unexpected, often in an unpleasant way 14) abrupt N. reduce the number or possibilities or choices of15) breakthrough O. the state of doing well in respect to well-being or prosperityPart III Text-related Cloze(共10分,每题1分)Directions:Read the passage carefully and select one appropriate word for each gap from the boxIn my first season as a Salvation Army bell ringer in 2003, I was __1___ with the question “Are you poor?”by a curious boy. I’ve never thought of myself as poor, but I can’t deny certain facts, like, I fall into one of the lowest income brackets. Yet I feel ___2__ more than a passing whim to ___3__ material things, because I’ve enjoyed ___4___ good health. I also __5__ the gift of creativity. I’m continually surprised at the __6___ that come through my writing process. And talking with so many interesting friends is one of my main ___7__ of enjoyment. Instead of feeling out of place ____8___, I feel a ___9__ sense of belonging, as I ring my bell, collecting money for the needed. As I’ve examined what it means to be poor, it has become clear to me what I am most thankful for: both my tangible and intangible good ___10___.Part IV Reading Comprehension (共30分)Section A (共20分,每小题2分)Directions:There are 2 passages in this section. Each passage is followed by some questions or unfinished statements. For each of them there are four choices marked A), B), C) and D). You should decide on the best choice and mark the corresponding letter on the Answer Sheet with a single line through the center.Passage OneQuestions 1 to 5 are based on the following passage.By definition, heroes and heroines are men and women distinguished by uncommon courage, achievements, and self-sacrifice made most for the benefits of other--they are people against whom we measure others. They are men and women recognized for shaping our nation’s consciousness and development as well as the lives of those who admire them. Yet, some people say that ours is an age where true heroes and heroines are hard to come by, where the very idea of heroism is something beyond us--an artifact of the past. Some maintain that because the Cold War is over and because America is at peace our age is essentially an unheroic one. Furthermore, the overall crime rate is down, poverty has been eased by a strong and growing economy, and advances continue to be made in medical science.Cultural icons are hard to define, but we know them when we see them. They are people who manage to transcend celebrity (明星), who are legendary, who somehow manage to become mythic. But what ma kes some figures icons and others mere celebrities? That’s hard to answer. In part, their lives have the quality of a story to tell. For instance, the beautiful young Diana Spencer who at 19 married aprince, renounced marriage and the throne, and died at the moment she found true love. Good looks certainly help. So does a special indefinable charm, with the help of the media. But nothing confirms an icon more than a tragic death--such as Martin Luther King Jr., John F. Kennedy, and Princess Diana.1. The passage mainly deals with __________.A. life and deathB. heroes and heroinesC. heroes and iconsD. icons and celebrities2. Heroes and heroines are usually _______.A. courageousB. good examples to followC. self-sacrificingD. all of the above3. Which of the following statements is wrong?A. Poverty in America has been eased with the economic growth.B. Superstars are famous for being famous.C. One’s look can contribute to being famous.D. Heroes and heroines can only emerge in war times.4. Beautiful young Diana Spencer found her genuine love _______.A. when she was 19B. when she became a princessC. just before her deathD. after she gave birth to a Prince5. What is more likely t o set an icon’s status?A. Good looks.B. Tragic and early deathC. Personal attraction.D. The quality of one’s story.Passage TwoQuestions 6 to 10 are based on the following passage.English food is thought of poorly in other countries. This is most probably because foreigners in England are often obliged (不得不) to eat in the more fast-food type of restaurant. Here it is necessary to prepare food rapidly in large amounts, and the taste of the food inevitably suffers, though its quality, from the point of view of nourishment, is quite satisfactory. Still, it is rather dull and not always pleasantly presented. Moreover, the Englishman eating in a cheap or medium price restaurant is usually in a hurry (at least at lunch), and a meal eaten in a leisurely way in pleasant surroundings is always far more enjoyable than a meal taken quickly in a business-like environment. In general, it is possible to get a good meal at a reasonable price; in fact, such a meal may be less expensive than similar food in other countries. For those with money to spare, there are restaurants that compare favorably with the best in any country.In many countries breakfast is a snack rather than a meal, but the typical English breakfast is a full meal. Some people have a bowl of hot or cold cereal (谷物) to begin with. Then comes a large and filling course, usually cooked, such as bacon and eggs, or some other type of meat. Yorkshire ham is also a breakfast many people enjoy. Afterwards comes toast, with butter and marmalade (果子酱), and perhaps some fruit. Tea or coffee is drunk with the meal. Many English people now take such a full breakfast only on Sunday morning.6. Food in the more fast-food type of restaurant in Britain is always _____________.A. served in large amountsB. very pleasant in appearanceC. quite acceptable for foreignersD. not so delicious7. According to the passage, English food is _______________ in terms of nourishment.A. actually quite satisfactoryB. not good at allC. always very simpleD. always taken in pleasant surroundings despite its poor taste8. Foreigners in Britain always choose to ____________________.A. eat the most typical foodB. have a full breakfast every dayC. buy the least expensive foodD. have their meals in the more fast-food type of restaurant9. Which of the following statements is probably true?A. Englishmen always talk about time while eating.B. The same meal would be more enjoyable if eaten in better surroundings.C. It’s almost impossible for any British rest aurant to rank among the best in the world.D. People can hardly get enough food at a reasonable price in Britain.10. Which of the following statements is probably NOT true?A. Many Englishmen have a full breakfast only once a week.B. Typical breakfast in Britain is a meal rather than a snack.C. Englishmen are so stuck in their old ways that they have a full breakfast every day.D. English people always have tea or coffee with a full breakfast instead of fruit juice.Section B (共10分,每小题1分)Directions: In this section,you are going to read a passage with ten statements attached to it. Each statement contains information given in one of the paragraphs. Identify the paragraph from which the information is derived. You may choose a paragraph more than once. Each paragraph is marked with a letter Answer the questions by marking the corresponding letter on the Answer Sheet.Creative Book Report IdeasA. Are you at a loss for creative book report ideas for your students? If yes. Then this article will help you make reading and reviewing books more creative for your class. In an age of PSPs,Xbox,anime and gaming arcades, reading has lost its foothold in the list of hobbies that children tend to cite.Most of the reading that kids do today, comes in the form of compulsory books that they need to read for school and maybe that is the reason they find reading to be an insurmountable and boring task. If you want to inculcate the love for languages and literary masterpieces in your students and want them to devour books everyone should read,then a good way of going about the same would be to get them to start working on creative book report ideas. While working on creative ideas for book reports,your students will have to understand the book in a way that allows them to come up with new ways to present to the class,the essence of the book.B. As a teacher while egging your students to activate their creative gray cells. You will have to help them out with basic ideas that they can work on. Depending on the age bracket that your students belong to, the creative book report ideas will vary. This is so, not just because of the varying attention spans that children of various age groups possess but also because of the amount of work that kids can put into the report. While a middle school student will be comfortable handling a handy cam,a student from elementary school will be more fascinated if he is working with paints and puppets. So do you want to know how to write a book report creatively? In this article, we will list out for you,a couple of good creative book report ideas for elementary students and for middle school students.C. A book report sandwich is a good creative idea for book reports. As a teacher you can get drawings of a sandwich on sheets of Paper that are of the color of the ingredients of your sandwich,for example,a cream sheet of paper to resemble mayonnaise, red to represent tomato and likewise. Obviously, each ingredient should be cut in a way that when assembled together, it looks like a sandwich. Now, give each of your students one of these book sandwiches to create their book report.It can start with the name of the book and the author’s name on the top slice of the sandwich. The second ingredient can have the summary of the book on it. Each subsequent ingredient can have a description of the main characters, the setting of the book, the plot, and then his or her views about the book. Once they are done with their book reports, they can staple the book sandwich together and then, you can create a class bulletin board with all the book report sandwiches on display.D. One of the good techniques to retell a story, it is also one of the favorite creative book report ideas among students. The job that the student will have is to read the book and then pick a few objects at his/her home which will allow him/her to retell the story in a way that makes it interesting for his/ her audience. Every time he/she picks out an object from the bag to report the book he/she has read,there has to be a valid connection between the book and the object,which the student can first ask the audience to guess and then go ahead and explain it. This idea is spin—off on the normal show and tells and allows for an interactive book report session.E. This is one of the creative ideas for book reports in which as the teacher, you will have to divide your class into groups and give them one book each. The students can then read the book and get together and write a play and act it out for the class. To give a deeper insight into the book, one of the students can play the role of the author and as a group, the students can try and recreate the thought process of the author. The student playing the role of the author can then interrupt the play at important junctions and talk about the reasons for these twists in the play and how he/she came up with these plot lines.F. As a young adult,your student’s fascination may go beyond the immediate concerns of the book.He/she may want to understand the circumstances in which the book was written, the times then, the events happening in the world and get the author’s perspective about the book. Encourage your students to mink on those lines. Divide the class into pairs and give each pair one book to read. Let them then do the roles of the author and a journalist. You can have an interview session in front of the class. Enabling them to dissect the book and get a peek into the author’s world.G. In a technology-obsessed world,it may be a very tiny minority of your class that does not get excited with the prospect of shooting a film. One of the best creative book report ideas for middle school, you will need to divide the class into groups and give them at least two months to adapt the book that they have been assigned, into a film. The movie should have a well-adapted screen play, and all other prerequisites, like a lighting engineer, sound engineer, costume designer, etc. At the end of the given time, the film can be screened in front of the class and then discussed.H. If you are on the lookout for good individual creative book report ideas, then this one could be for you. Assign every student a book and then ask them to start maintaining a diary, from the author’s point of view. Ask them to come up with imaginary incide nts from the author’s life and use historical events to explain why the author wrote the book in a certain manner. Alternately, you can also ask your students to give a surrogate ending to the story.I. These are just few of the options that you could use to inspire your students to come up with creative book report ideas. As kids we tend to be more imaginative and creative. Encourage your students to think of the books and appreciate them for their efforts. This will help you have a class that is not only lively and inquisitive by nature but also a class that will cultivate a love for words.11. Teachers can create a class bulletin board to display all the book report sandwiches after their students finish their reports.12. Adopting the method of knowing your author, teachers can encourage students to think beyond the immediate concerns of the book.13. Asking the students to write from their own point of view is suitable for teachers who are on the lookout for good individual creative book report ideas.14. Retelling a story is one of the favorite creative book report ideas among students and it tells and allows for an interactive book report session.15. Nowadays,most of book children read are those they need to read for school.16. Teachers tend to be more imaginative and creative as kids.17. While working on creative ideas for book reports, students will have to understand the book.18. The creative book report ideas vary according to ages because children in different age groups have different attention span.19. If teachers ask their students to shoot a film about a book,they should give them no fewer than two months.20. Teachers have to divide their class into groups and give them one book each is a good creative book report ideas.Part V Translation (每小题3分,共15分)Directions: In this section, you are going to translate the following sentences into Chinese, using the key words in the bracket.1.我们两种文化的差异可以从我们各自所怀的忧虑中显示出来。