2018年最新 黄浦区2018学年度第一学期高三年级期终基础学业测评 精品
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黄浦区2018学年度第一学期高三年级期终调研测试物理试卷一、单项选择题1.下列单位中属于基本单位的是()A. 安培B. 焦耳C. 库仑D. 牛顿【答案】A【解析】A.安培是电流的单位,是国际单位制中的基本单位,故A正确;B.焦耳是由W=FL推到出的单位,是导出单位,故B错误;C.牛是由牛顿第二定律F=ma推到出的单位,是导出单位,故C错误;D.库仑是由Q=It推到出的单位,是导出单位,故D错误。
故选:A.2.历史上,第一个在实验室测量出万有引力恒量的科学家是()A. 卡文迪什B. 哥白尼C. 伽利略D. 开普勒【答案】A【解析】牛顿发现万有引力定律之后,并没有测出万有引力常量,是卡文迪许测出了万有引力常量。
故A正确,BCD错误。
故选:A。
3.在电场中A点,引入不同检验电荷,会变化的是()A. A点的电场强度B. A点的电势C. 在A点的电势能D. A点与电场中另一点间的电势差【答案】C【解析】A.E=F /q是场强的定义式(利用了比值定义法),而电场强度是电场本身的性质,与试探电荷受力大小及电荷量无关,故A错误;B.电场中某点的电势与零势面的选取有关,与电场本身有关,试探电荷正负及电荷量无关,故B错误;=,与A点的电势有关,与试探电荷的正负及电荷C.电荷在A点的电势能P E qϕ量有关,故C正确。
D.两点间的电势差也是由电场本身的性质决定的,与移动试探电荷做的功无关,故D错误。
故选:C。
4.电梯天花板上固定一弹簧测力计,测力计下挂一重物。
电梯静止时,测力计读数为50N。
若电梯向下运动时,测力计读数恒为45N,则此时电梯做()A. 匀速运动 B. 匀加速运动 C. 匀减速运动 D. 变加速运动【答案】B【解析】测力计示数小于静止时示数,物体处于失重状态,加速度向下,可能向下加速运动,或向上减速运动,故B正确,ACD错误。
故选:B。
点睛:根据重物对弹簧秤的拉力的大小和本身的重力的关系,由牛顿第二定律可以求得电梯加速度的方向,判断出电梯的运动状态。
黄浦区2018学年度第一学期期终基础学业测评高三物理试卷(完卷时间:120分钟 满分:150分) 2018年1月16日(本卷g 取10米/秒2)一、(32分).填空题。
本大题共8小题,每小题4分。
答案写在答题卷横线上的空白处,不要求写出演算过程。
本大题中第l 、2、3小题为分叉题。
分A 、B 两类,考生可任选一类答题。
若两类试题均做。
一律按A 类题计分。
A 类题(适合于使用一期课改教材的考生) 1A .如图所示,为一列自右向左传播的横波,A 、B 两个质点中,质点 先开始振动,A 、B 两个质点刚开始振动时的运动方向均 (选填“向上”或“向下”)。
2A .闪电是一种常见的自然现象,发生闪电时会释放出大量能量。
已知某次闪电放电电压大约为1.0×109V ,放电通过的电量约为30C 。
一所希望小学每天消耗的电能为20kW ·h ,此次闪电释放的电能如果都能储存起来并加以利用,那么这些电能够这所小学使用____________天。
3A .如图所示,从地面上方D 点沿相同方向水平抛出的三个小球分别击中对面墙上的A 、B 、C 三点,图中0点与D 点在同一水平线上,知O 、A 、B 、C 四点在同一竖直线上,且OA=AB=BC ,三球的水平速度之比为A v :B v :C v =___________。
B 类题(适合于使用二期课改教材的考生)1B .以初速v 0水平抛出的物体,质量为m ,下落高度为h ,则重力做功为 ,这过程中物体动能变化量为 。
质量为m 的带电物体,在仅有电场力作用的情况下由静止开始加速,获得速率v ,则电场力做的功为 。
从上面这些例子可归纳出结论:功是 。
2B .正弦交流电是由闭合线圈在匀强磁场中匀速转动产生的。
线圈中感应电动势随时间变化的规律如图所示,则此感应电动势的有效值为_________V ,频率为________Hz3B .如图所示,将粗细均匀直径相同的两根棒A 和B 粘合在一起,并在粘合处悬挂起来,恰好处于水平平衡.如果A 棒的密度是B 棒的2倍,那么A 棒的重力是B 棒的重力的________倍。
黄浦区2018学年度第一学期高三年级期终调研测试英语试卷参考答案I. Listening Comprehension1-5 CDCBA 6-10 DCCAC11-13 CDC 14-16 BDA 17-20 DCCBII. Grammar and VocabularySection A21. the 22. dying 23.confessed 24. Although/Though 25. those26. from 27. earlier 28. had used 29. where 30. thatSection B31. G 32. J 33. A 34. B 35. D 36. C 37. E 38. I 39. H 40. FIII. Reading ComprehensionSection A41. B 42. C 43. B 44. D 45. A 46. C 47. B 48. A 49. C 50. D51. A 52. B 53. A 54. C 55. DSection B56-59 CDBB 60-62 ADD 63-66 CBADSection C67-70 FDAEIV. Summary Writing71.The tourism industry is developing fast/prosperously with different forms, among which sport tourism grows fastest. Sport tourism is defined as travel related to sport/physical activities and consists of/includes three main categories. The first is watching sporting events/games. The second includes visiting famous sports-related attractions/places and meeting well-known/famous sports people/personalities. And the third is active participation. (52words)V. Translation72. Many people are totally ignorant of their potential (abilities/talents).73. These policies are to some extent responsible for the region’s economic decline.74. Since ancient times people have longed for a peaceful world to live together in friendship with people from/of all countries./Since ancient times people have longed for a peaceful world, where people of all/different countries live together in friendship.75. The developing trend of youth/adolescent/teenager problems deserves our attention and research/ analysis, which also deserves the joint efforts of the whole society to find solutions.VI. Guided WritingOmitted.高三年级英语第1页共1页。
2018学年度第一学期黄浦区高三年级期终质量抽测物理试卷(本卷g取10m/s2)一、选择题(每小题3分,共24分。
给出的四个答案中至少有一个是正确的。
全选对的,得3分;选对但不全,得1分;有错或不答的,得0分。
)1、下列叙述中符合物理学史的……………………………………………()A、在卡文迪许研制的扭秤实验基础上,牛顿发现万有引力定律;B、麦克斯韦从理论上预言电磁波的存在,赫兹用实验予以证实;C、荷兰物理学家惠更斯首先发现了单摆的等时性,并确定了单摆的周期公式;D、开尔文用科学推理的方法建立了热力学温标。
2、竖直放置的铁丝框中的肥皂膜,在太阳光照射下形成的干涉条纹。
关于条纹图样及观察者位置……………………………………………………………()A、彩色的水平干涉条纹;B、彩色的竖直干涉条纹;C、观察者和太阳在肥皂膜的同侧;D、观察者和太阳在肥皂膜的两侧。
3、目前普遍认为,质子和中子都是由被称为u夸克和d夸克的两类夸克组成。
u夸克带电量为23e,d夸克带电量为-13e,e为基元电荷,下列判断可能正确的是…………………………………………………………………………………… ()A、质子由1个u夸克和1个d夸克组成,中子由1个u夸克和2个d夸克组成;B、质子由2个u夸克和1个d夸克组成,中子由1个u夸克和2个d夸克组成;C、质子由1个u夸克和2个d夸克组成,中子由2个u夸克和1个d夸克组成;D、质子由2个u夸克和1个d夸克组成,中子由1个u夸克和1个d夸克组成。
4、宇航员测出绕某一星球做匀速圆周运动的同步卫星的轨道半径为R,运动的线速度为v,则根据此数据可以计算出该星球的……………………………()A、质量;B、表面的重力加速度;C、自转的周期;D、平均密度。
5、如图所示,两端封闭的玻璃管AB水平放置时,管的中部有一段水银柱将其中空气分隔为体积不等的两部分V A和V B。
现将A端向下稍倾斜后放入盛有热水的容器中,则经足够长时间后,管内的水银柱相对水平放置时……………………()A、向B端移动;B、向A端移动;C、可能仍在原来位置;D、无法判断。
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黄浦区2017学年第一学期高三年级期终调研测试 数学试卷(完卷时间:120分钟 满分:150分) 2018.1考生注意:1.每位考生应同时收到试卷和答题卷两份材料,解答必须在答题卷上进行,写在试卷上的解答一律无效;2.答卷前,考生务必将姓名等相关信息在答题卷上填写清楚,并在规定的区域贴上条形码; 3.本试卷共21道试题,满分150分;考试时间120分钟.一、填空题(本大题共有12题,满分54分)考生应在答题纸相应编号的空格内直接填写结果,每个空格填对前6题得4分、后6题得5分,否则一律得零分.1.已知全集U=R ,集合{}3||1|1,|01x A x x B x x -⎧⎫=->=<⎨⎬+⎩⎭,则()U C A B =I . 2.已知角θ的顶点在坐标原点,始边与x 轴的正半轴重合,若角θ的终边落在第三象限内,且3cos()25πθ+=,则cos 2θ= .3.已知幂函数的图像过点(,)124,则该幂函数的单调递增区间是 . 4.若n S 是等差数列{}()*N n a n Î:1,2,5,8,-L 的前n 项和,则2lim 1nn S n →∞=+ .5.23p 的扇形,则该圆锥体的体积是 .6.过点(2,1)P -作圆225x y +=的切线,则该切线的点法向式方程是 .7.已知二项式展开式7270127(12)x a a x a x a x -=++++L ,且复数711i 2128a z a =+,则复数z 的模||z = . (其中i 是虚数单位)8.若关于x y 、的二元一次线性方程组111222,a x b y c a x b y c +=⎧⎨+=⎩的增广矩阵是1302m n ⎛⎫ ⎪⎝⎭,且1,1x y =⎧⎨=-⎩是该线性方程组的解,则三阶行列式1010321m n -中第3行第2列元素的代数余子式的值是 .9.某高级中学欲从本校的7位古诗词爱好者(其中男生2人、女生5人)中随机选取3名同学作为学校诗词朗读比赛的主持人.若要求主持人中至少有一位是男同学,则不同选取方法的种数是 .(结果用数值表示)10.已知ABC D 的三个内角、、A B C 所对边长分别为、、a b c ,记ABC D 的面积为S ,若()22S a b c =--,则内角=A .(结果用反三角函数值表示)11.已知函数()||11f x x =-,关于x 的方程()()20f x bf x c ++= 有7个不同实数根,则实数、b c 满足的关系式是 .12.已知正六边形ABCDEF (顶点的字母依次按逆时针顺序确定)的边长为1,点P 是CDED 内(含边界)的动点.设()、R AP x AB y AF x y =?孜u u u r u u u r u u u r ,则x y +的取值范围是 .二、选择题(本大题满分20分)本大题共有4题,每题有且只有一个正确答案,考生应在答题卷的相应编号上,将代表答案的小方格涂黑,选对得5分,否则一律得零分.13.已知αβ、是空间两个不同的平面,则“平面α上存在不共线的三点到平面β的距离相等”是“αβP ”的 答( ). (A )充分非必要条件 (B )必要非充分条件 (C )充要条件 (D )非充分非必要条件14.为了得到函数sin cos ()33R y x x x =+?的图像,可以将函数3y x =的图像答( ).(A )向右平移4p 个单位 (B )向左平移4p个单位 (C )向右平移12p 个单位 (D )向左平移12p个单位15.用数学归纳法证明*111111(N )12324n n n n n n+++≥∈++++L 时,由n k =到1n k =+时,不等式左边应添加的项是 答( ). (A ) 121k + (B ) 11211k k -++ (C )112122k k +++ (D )112122k k -++16.已知函数12x y +=的图像与函数()y f x =的图像关于直线0x y +=对称,则函数()y f x =的反函数是 答( ).(A )21log ()y x =-- (B ) 2log (1)y x =-- (C ) 12x y -+=- (D ) 12x y -+=三、解答题(本大题满分76分)本大题共有5题,解答下列各题必须在答题卷的相应编号规定区域内写出必要的步骤.17.(本题满分14分)本题共有2个小题,第1小题满分6分,第2小题满分8分.已知正方体1111ABCD A B C D -的棱长为2,点E F 、分别是所在棱A B AB 11、的中点,点1O 是面1111A B C D 的中心.如图所示.(1)求三棱锥1O FBC -的体积1O FBC V -;(2)求异面直线A F 1与CE 所成角的大小.(结果用反三角函数值表示)18.(本题满分14分)本题共有2个小题,第1小题满分6分,第2小题满分8分. 已知函数11()cos 222f x x =+,1()3sin 2g x x x =⋅,R x ∈.(1)若()0f a =,求(2)g a 的数值;(2)若02x π≤≤,求函数()()()h x f x g x =+的值域.19.(本题满分14分)本题共有2个小题,第1小题满分6分,第2小题满分8分.已知椭圆2222:1(0)x y E a b a b+=>>的右焦点为(1,0)F ,点(0,)B b 满足||2FB =.(1)求实数a b 、的值;(2)过点F 作直线l 交椭圆E 于M N 、两点,若BFM ∆与BFN ∆的面积之比为2,求直线l 的方程.20.(本题满分16分)本题共有2个小题,第1小题满分4分,第2小题满分6分,第3小题满分6分.定义:若函数()f x 的定义域为R ,且存在实数a 和非零实数k (a k 、都是常数),使得(2)()f a x k f x -=⋅对R x ∈都成立,则称函数()f x 是具有“理想数对(,)a k ”的函数.比如,函数()f x 有理想数对(2,1)-,即(4)()f x f x -=-,(4)()0f x f x -+=,可知函数图像关于点(2,0)成中心对称图形.设集合M 是具有理想数对(,)a k 的函数的全体.(1)已知函数()21,R f x x x =-∈,试判断函数()f x 是否为集合M 的元素,并说明理由; (2)已知函数g()2,R xx x =∈,证明:()g x M ∉;(3)数对(2,1)(1,1)-和都是函数()h x 的理想数对,且当11x -≤≤时,2()1h x x =-.若正比例函数(0)y mx m =>的图像与函数()h x 的图像在区间[0,12]上有且仅有5个交点,求实数m 的取值范围.21.(本题满分18分)本题共有3个小题,第1小题满分4分,第2小题满分6分,第3小题满分8分.定义运算“⊕”:对于任意y R x ∈、,(1)x y b x by ⊕=-+(R b +∈)(等式的右边是通常的加减乘运算).若数列{}n a 的前n 项和为n S ,且3n n n S a ⊕=对任意*N n ∈都成立. (1) 求1a 的值,并推导出用1n a -表示n a 的解析式;(2)若3b =,令*(N )3n n n a b n =∈,证明数列{}n b 是等差数列;(3)若3b ≠,令*(N )3n n n a c n =∈,数列{}n c 满足||2n c ≤*(N )n ∈,求正实数b 的取值范围.黄浦区2017-2018学年第一学期高三年级期终调研测试数学试卷参考答案和评分标准2018.1说明:1.本解答仅列出试题的一种解法,如果考生的解法与所列解答不同,可参考解答中的评分精神进行评分.2.评阅试卷,应坚持每题评阅到底,不要因为考生的解答中出现错误而中断对该题的评阅,当考生的解答在某一步出现错误,影响了后继部分,但该步以后的解答未改变这一题的内容和难度时,可视影响程度决定后面部分的给分,这时原则上不应超过后面部分应给分数之半,如果有较严重的概念性错误,就不给分. 一、填空题. 1.[0,2] 2.725 3.(,0)-∞ 4.325.83π 6.2(2)1(y 1)0x -⋅++⋅-= 7.528.4 9.25 10.1588arccos(arcsin arctan )171715或、或 11.1,2.b c b +=-⎧⎨<-⎩ (或1,1.b c c +=-⎧⎨>⎩ ) 12.[3,4].二、选择题.13.()B 14.()D 15.()D 16.()C 三、解答题.17.(本题满分14分)本题共有2个小题,第1小题满分6分,第2小题满分8分. 解 (1) 联结111BC O B O C O F 、、、,依据题意可知, 三棱锥1O FBC -的高与1AA 的长相等。
上海市黄浦区2017-2018学年度第一学期高三年级期终调研测试英语试卷(完卷时间:120分钟满分:140分)第I卷(共100分)I.Listening ComprehensionSection ADirections:In Section A,you will hear ten short conversations between two speakers.At the end of each conversation,a question will be asked about what was said.The conversations and the questions will be spoken only once.After you hear a conversation and the question about it,read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A.Before dinner. B.During the meal.C.After dinner.D.Tomorrow evening.2. A.In a hotel. B.At a bus station.C.In a cinema.D.At an airport.3. A.Salesman and customer. B.Boss and secretary.C.Doctor and patient.D.Doctor and nurse.4. A.4. B.5. C.6. D.7.5. A.The lecture. B.The heat.C.The workload.D.The air quality.6. A.Confident. B.Nervous. C.Uninterested. D.Annoyed.7. A.Visit the company. B.Re-write his resumé.C.Get a job on campus.D.Apply for a job with PICC.8. A.He is fearless. B.He is forgetful.C.He is helpful.D.He is thoughtful.9. A.Talking about sports. B.Writing up local news.C.Reading newspapers.D.Putting up advertisements.10. A.She expects to see him soon. B.She agrees with the man.C.She doesn’t believe he can do it.D.She will work for the library.Section BDirections:In Section B,you will hear one longer conversation and two short passages.After each conversation or passage,you will be asked several questions.The conversation and the passages will be read twice,but the questions will be spoken only once.When you hear a question,read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions11through14are based on the following conversation.11. A.The scientific steps to write a paper. B.A funny story that they read recently.C.An assignment of a creative writing course.D.A detective case that was just finished.12. A.She encountered a bottleneck when writing a story.B.She was happy that she finished the story easily.C.She was expected to finish the story in a month.D.She decided to give up the story eventually.13. A.Change to another topic. B.Give the story an ending first.C.Do work for another course.D.Write everything occurring to her.14. A.Buy jewels for her mother. B.Locate the security camera.C.Do some research for her writing.D.Rob a jewelry store for ideas.Questions15through17are based on the following passage.15. A.They don’t attach importance to scores. B.They attract fewer and fewer students.C.They will take place next week.D.They will no longer exist.16. A.To inspire young people to practice more.B.To encourage young people to be creative.C.To motivate young people to keep learning.D.To urge young people to start up companies.17. A.To bring more economic benefits. B.To help students memorize better.C.To change the present education system.D.To develop teachers’multi-skills.Questions18through20are based on the following passage.18. A.More communication with others. B.Construction of the life journey.C.Revealing of determination.D.Loss of the social identity.19. A.Depression and isolation. B.Walking around the corner.ck of sleep.D.Getting impatient.20. A.Making it possible to get a pay rise.B.Providing people with new business.C.Giving people time to think about their life again.D.Helping people to find jobs based on their hobbies.II.Grammar and VocabularySection ADirections:After reading the passage below,fill in the blanks to make the passages coherent and grammatically correct.For the blanks with a given word,fill in each blank with the proper form of the given word;for the other blanks,use one word that best fits each blank.Norway is Teaching Travelers to TravelAfter15people died during Easter in1967,the Norwegian Trekking Association and the Red Cross announced their campaign‘Welcome to the mountains,but be responsible’.Fjellvettreglene,the‘mountain code’(21)______encourages people to have a healthy and respectful relationship with nature,has since become a crucial part of Norwegian culture.It includes points such as bringing necessary equipment(22)______(assist) yourself and others,seeking shelter if necessary and feeling no shame in turning around.Nationally,Norway(23)______(experience)an11%increase in tourism in the past decade.From just1,000 tourists in the whole of2010,Trolltunga,a piece of rock that stands horizontally out of the mountain,(24)______ (see)1,800visitors in one2017day alone.Why?Because people want the same picture they see on Instagram and Facebook.A lot don’t care about the experience of the hike.They just want proof(25)______they did it.But, while good for the economy,this tourism boom has become a threat(26)______Norway’s natural environment.Used toilet paper,(27)______(abandon)tents and plastic bottles can be found littered all around Trolltunga. And with the high amount of people who come unprepared for such an active hike,Norway’s leading hiking group,Friluftsliv,also has called for regulations on the number of tourists(28)______(hike)to sse Heimdal, leader of the outdoor organization said,“On a busy day,you may have to wait in line for an hour and a half just to get a picture.To control this,we’d like to regulate(29)___________people can hike in a day.Starting hike times should also have regulations so people don’t start too late and find(30)______stuck up here.”Section BDirections:Complete the following passage by using the words in the box.Each word can only be used once.Note that there is one word more than you need.A.accommodationB.annualC.declineD.destinationE.dinersF.hostedG.ingredients H.precisely I.ranked J.remote K.talentedWorld’s Best RestaurantThe Black Swan,a rural pub in England has been named“the world’s best restaurant”by TripAdvisor.After scoring up positive feedback,the review website31the pub over fine dining establishments from New York to Paris in its32Travelers'Choice awards.So what’s it got going for it?Firstly,this isn’t some backwater pub enjoying in insignificance.Tommy Banks,a(n)33young cook,is already a TV regular in the UK and has had a Michelin star to his name since becoming the youngest receiver ever in2013at the age of24.Secondly,it's not really a pub anymore.Like many rural UK pubs,the Black Swan had been in34for many years before2006,when Banks'family took over.After their attempts to run it as a pub struggled,they decided to make it a dining35.It now operates as both restaurant and fashionable36,offering food-and-stay packages that help draw customers to its truly37location.It's usually booked up well in advance with38coming from near and far.During CNN's visit,neighboring tables included a couple on an overnight break from their kids.Another39 two of the Banks brothers'old school teachers,on a trip up from York—40the kind of crowd that have helped lift the Black Swan to TripAdvisor glory.III.Reading ComprehensionSection ADirections:For each blank in the following passages there are four words or phrases marked A,B,C and D.Fill in each blank with the word or phrase that best fits the context.Could Buying Paintings Make You Rich?Is investing in paintings a good way to get rich fast?And how should you invest in art?“With extreme41”is the advice of Patrick Connolly,a financial adviser.“We don’t42our customers to invest in art because the downsides are greater than the upsides.It doesn't produce income or earnings.What you 43is exclusively based on supply and demand,and there are big movements upwards or downwards if there are changes in the economic environment,”he said.To invest in art as a true investment,you need a starting fund of at least$5,000.But it’s not just about having enough44to buy the painting in the first place.Expensive works of art are often stored in protective boxes complete with detectors to monitor humidity and temperature levels,and to protect them from sun damage or other 45such as a spilled cup of coffee.And if you do put it on your wall,then your insurance costs are likely to be high.If word gets out that you have expensive art hanging on your wall,then you're likely to be a46for thieves.Art is also not a regulated investment so when things go wrong–for example,an artwork turns out to be a fraud(赝品)–then investors cannot fall back on47for any repayment.Of course given the current environment of low interest rates,that's still a(n)48return than many savings accounts will give you.As art has no association to the stock market,it means paintings can49in value even when the market crashes,making it a good option for investment50.It is reported that after a decrease in the global art market throughout2016,auction(拍卖)sales51in the first six months of2017.Yet you don't necessarily have to be super-wealthy to invest in art.There are a growing number of art fairs and online marketplaces aimed at buyers with a more52budget.Most art industry experts suggest that you buy a piece of art because you like it,not because you want to get rich.The most53approach is probably to buy something you like and can54and,be prepared to keep it just for your own pleasure.If it goes up in value that should be just a(n)55benefit.41.A.accuracy B.carefulness C.enthusiasm D.generosity42.A.beg B.control C.forbid D.recommend43.A.get back B.look into C.take out D.turn to44.A.desire B.energy C.money D.time45.A.accidents B.appliances C.measures D.drinks46.A.partner B.spectator C.target D.therapy47.A.initiative B.regulation C.strategy D.tradition48.A.better B.earlier C.healthier D.lower49.A.fall apart B.fall down C.go ahead D.go up50.A.funds B.levels C.selections D.rates51.A.ceased B.proceeded C.recovered D.shrank52.A.fixed B.limited C.massive D.modest53.A.creative B.direct C.flexible D.sensible54.A.afford B.preserve C.transfer D.undertake55.A.added B.maximum C.obvious D.socialSection BDirections:Read the following three passages.Each passage is followed by several questions or unfinished statements.For each of them there are four choices marked A,B,C and D.Choose the one that fits best according to the information given in the passage you have read.(A)Post-00s is a documentary about growing up.It covers almost every aspect of millennials’experiences on their path toward adolescence–their struggles with schoolwork,their relationship with peers,their confusion if a younger brother or sister is born into the family,and their growing desire to keep a distance from their parents.But this five-episode series was different from any other TV program with a similar theme.Post-00s was filmed over a period of10years,during which the show’s makers followed a group of kids from when they were infants through to when they became teenagers.In other words,the show’s“characters”grow older for real,and their stories are all real.“Coming-of-age”stories,as they’re known,have a special appeal.They satisfy our curiosity of looking at someone else’s life,and we become more and more attached to the characters as if we truly know them.And while we enjoy the truthfulness of the stories because nothing is set in advance,we also can’t help but feel the cruelty of reality.After all,there’s no re-writing of the script(剧本)and there’s no turning back–this is real life.This realness can also be seen in Boyhood,a2014film that won the Silver Bear award for best director at the64th Berlin International Film Festival.During a period of12years,the film follows the life of Mason Jr–played by US actor Ellar Coltrane–from when he was6to when he finished high school.One of Boyhood’s appeals comes from its“ordinariness”.Mason Jr isn’t some child genius...He is a quietly spoken,fairly typical American boy,growing up in the Texas suburbs.He likes riding his bike and playing video games.While coming-of-age stories may look ordinary on the outside,they often allow us to look underneath the surface and see something extraordinary–the power of life itself.56.In the documentary,we see post-00’s growing experience EXCEPT__________.A.how they deal with their studiesB.how they help look after brothers or sistersC.how they get along with people of their ageD.how much they long to be independent of their parents57.What do Post-00and Boyhood have in common?A.They’re intended to win an award for best director.B.The heroes and heroines are characters themselves.C.They’re a kind of reality show of ordinary kids’growth.D.The stories are based on true life but polished by writers.58.Audience are interested in“coming-of-age”stories because__________.A.they can see the truth of lifeB.they know the characters wellC.they are much fond of gossipD.they appreciate stories of daily life59.Which of the following might be the best title for the passage?A.Post-00s are different geniusesB.Actors are ordinary charactersC.Documentary is real lifeD.Life is one big story(B )B BC SHOPrming.Inspiring.WHAT A RELIEF!Delight everyone on your holiday gift list with great gifts from the BBC.You’ll earn heartfelt thanks from nature lovers for Planet Earth I&II:The Complete Collection(page41)–inspiring look at our planet’s wildest,most mysterious creatures and their breathtaking home.…from mystery lovers for Sherlock:Complete Seasons1-4and The Abominable Bride Giftset(page13)–entertaining proof that Holmes can be difficult,dangerous,accurate,and absolute funny.…and from those who appreciate all things British.Delight Charles Dickens fans with Dickensian(page7).The new drama series with more adventures for Dickens’characters…Dinner with Dickens Cookbook(page9)with procedures for his favorite dishes…and Tom Baker Reads“A Christmas poem”(page8)for a wonderful new holiday tradition.Plus teapots,T-shirts,shortbread,mugs and more–just in time for the holidays.Enjoy!NEWTHE MOMENTWelcome to murder,suspense,romance,robbery and clothing in this excitinghistorical drama!Trouble begins for Rachel Verinder the day she inherits a large diamond stolen from a Hindu temple.When it disappears again,suspicion falls on Franklin Blake,the man who loves her.But what about mysterious cousin Godfrey,the housemaid with a thieving past,and doctor who experiments with opium(鸦片)? Blake must discover the fate of the Moonstone or lose Rachel forever.A powerful tale and emotionally sudden changes,based on the first-ever English detective novel by Wikie Collins.3¾hours.DVD21024$34.99YOUR PRICE:¥27.98WALKERS CHRISTMAS TREE SHORTBREAD AND TINSSanta and a beautiful Angel put the finishing touches on Christmas tree tins–perfect centerpieces and holiday decorations that your family and friends will enjoy year after year.Lift the treetops and taste the delicious secret inside:pure butter shortbread shaped like mini-Christmas trees,and made from only finest ingredients–flour,butter,sugar and salt.Baked in the village of Aberlour in the Scottish Highlands,they follow a generations-old family procedure,first perfected by Joseph Walker in1898.While the shortbread will disappear as if by magic,the tins will hold your holiday cookies and candy for many Christmases to come.Wonderful hostess gifts.Both tins:6〃h×4¾〃d;net wt4.4oz.Angel21042$19.98Santa21043$19.9860.Tom’s wife is a home baker,so he’d better refer to Page______for a Christmas present for her.A.8B.9C.13D.4161.Which of the following statements is TRUE about“The Moment”?A.It is an adapted drama lasting nearly4hours.B.The story,rather than the actors,is attracting.C.There are three suspects for stealing the diamond.D.It is based on Wikie Collins’most famous detective novel.62.What can be learned about the shortbread?A.It usually disappears in a magic way together with the tin.B.It follows a secret procedure perfected by Joseph Walker.C.It is wrapped in a tin with both Angel and Santa on it.D.It is traditionally family-baked in Scotland.(C)①Australians have long been known for having a relaxed and casual attitude to life.According to Dr Tanya King,senior lecturer from Victoria’s Deakin University,“It’s Australians’egalitarianism,sense of humor and informal language that are most commonly mentioned as examples of this attitude”.②Egalitarianism roots in the way that the nation was built.In Australia’s founding era in the late1700s, criminal settlers were often cruelly treated and robbed of their basic human rights by governors.The criminal class, who were mostly working-class Brits and Irish,was unable to seek civic positions that were reserved for immigrants who were not the criminal,with the latter arguing that if criminals gained equal rights it would be ‘rewarding criminality’.Because of this,an egalitarian spirit was worn as a symbol of honor by many criminal settlers.They may not have had power,education or wealth,but they had a shared belief in equality.③The informal way Australians use language is also believed to root in criminal times.Philologist Sidney Baker once wrote that‘no other class would have a better talent for creating new terms to fit in with their newconditions in life’.Cockney rhyming slang brought over by the British working class was abbreviated even further –so‘have a Captains Cook’(have a look),became‘ava captains’.This same practice was used to economize ordinary clauses.Words like‘good day’became‘g’day’,and barbecue was‘barbie’.④The tough conditions of settler times also played a part in Australians’dry,self-criticizing and sarcastic(讽刺的)sense of humor.While in many countries it’s considered poor taste to find humor in difficult circumstances, Australians tend to look at the lighter side.On one road trip,as I hit the state line and entered Victoria,I drove past some blackened trees,the leftovers of a recent bushfire.A road sign warning drivers about wildlife was half-melted and bent,but the shape of a hopping kangaroo was still distinct.Behind the figure,someone had drawn flames making it look as though the animal’s tail was on fire.I couldn’t help but laugh–it was a brilliant reminder of the country’s‘nothing upsets us’and anti-authoritarian attitude.⑤And one thing you can’t help but notice when driving around Australia is the country’s plentiful amounts of space.This,along with considerable leisure time plus favorable climate,all contribute to Australians’relaxed attitude.63.The underlined word“egalitarianism”is closest to__________in meaning.A.criminalityB.crueltyC.equalityernmentalism64.Which of the following is a feature of the way Australians use language?A.They use more slangs than other people.B.They give new meanings to existent words.C.They favour shortened forms of expressions.D.They coin terms in memory of criminal times.65.What can be inferred from paragraph4?A.Kangaroos’living conditions are getting tougher.B.Forest fires threaten Australians’life to a great extent.C.Potential danger is here and there on the roads in Victoria.D.Australians’jokes may not be as careless as they seem on the surface.66.The passage mainly talks about__________.A.how the late1700s impacted AustraliaB.why Australians enjoy casual life so muchC.what contributes to Australians’relaxed lifestyleD.how Australians present their attitude towards lifeSection CDirections:Read the following passage.Fill in each blank with a proper sentence given in the box.Each sentence can be used only once.Note that there are two more sentences than you need.A.That turned out to be not exactly correct.B.But Buchanan warned against such an assumption.C.But a number of business organizations say it should remain untouched.D.But what works for a clothing company might not work for a different one.E.Raising the minimum wage is identified as a key way to address the income gap.F.For opponents of a wage increase,increasing the minimum wage could reduce total employment byabout500,000jobs.More Clarity Needed on Wage DebateThese days,the minimum wage has become something of a big issue in America.67For supporters,16.5 million low-wage workers could see an increase in their weekly earnings and900,000people could rise above the poverty line.Gap Inc,has decided to increase the minimum hourly rate it pays employees to$9this year and then$10next year.The company’s announcement will affect65,000Gap employees by2017.Clearly Gap officials believe the money they invest in higher wages will pay off in increased sales and customer satisfaction.There’s certainly nothing wrong with that.68Also last week,Wal-Mart found itself at the center of the wages gossip when it was reported that the company was looking at supporting an increase in the minimum wage.69Wal-Mart spokeswoman Brooke Buchanan said the company remains neutral on the idea of a minimum wage increase,but“obviously it’s something that we look at closely,as any other company would”.She said that more than99percent of company associates are paid above the current minimum wage.It has been discussed how increased income for low-wage workers might translate into increased spending.So it’s reasonable to say that a company like Wal-Mart could see a jump in sales if the minimum wage rose.70“That is assuming that consumer behavior would be,‘If they have more money,they’ll spend more money,’”she said.“That isn’t always necessarily true.If we had a crystal ball,we could guess what consumer behavior would be in the future if a minimum wage increase goes through.But you just can’t.”IV.Summary WritingDirections:Read the following passage.Summarize the main idea and the main point(s)of the passage in no moree your own words as far as possible.Are Open Offices Good for Us?Four years ago,Chris Nagele did what many other technology executives have done before–moved his team into an open concept office.His staff had been entirely working from home,but he wanted everyone to be together, to connect and cooperate more easily.It quickly became clear,though,that Nagele had made a huge mistake. Everyone was distracted and productivity suffered and nine employees were unhappy,not to mention Nagele himself.About three years after moving into the open office,Nagele moved the company into a10,000-square foot office where everyone now has their own space—complete with closing doors.Numerous companies have held the open office—about70%of US offices are open concept—and very few have moved back into traditional spaces with offices and doors.But research that we’re15%less productive,we have huge trouble concentrating in open working spaces,has contributed to a growing criticism against open offices.Beside the cheaper cost,one main argument for the open workspace is that it increases teamwork.However, it’s well documented that we rarely brainstorm brilliant ideas when we’re just shooting the breeze in a crowd. Instead,as many of us know,we’re more likely to hear about the Christmas gift a colleague is buying for a family member,or problems with your deskmate’s spouse.For jobs that require focus,like writing,advertising,financial planning and computer programming,some companies that aren’t ready to abandon open plans are experimenting with quiet and closed spaces.The trouble with that,is some of us don’t feel comfortable leaving the team to go off on our own—it can feel as if we’re not pulling our weight if we’re not present.That’s particularly true in high-pressure environments.Some of us even feel that escaping to a quiet room is a sign of weakness.第II卷(共40分)V.TranslationDirections:Translate the following sentences into English,using the words given in the brackets.72.选举的结果很快便在全世界传播开了。
黄浦区2017学年度第一学期高三年级期终调研测试历史试卷 2018年1月(考试时间:60分钟 总分:100分)考生注意:1.本考试设试卷和答题纸两部分,试卷包括试题与答题要求;所有答题必须涂(选择题)或写(综合分析题)在答题纸上;做在试卷上一律不得分。
2.答题前,务必在答题纸上填写准考证号和姓名,并将核对后的条形码贴在指定位置上。
3.答题纸与试卷在试题编号上是一一对应的,答题时应特别注意,不能错位。
一、选择题(每题2分,共计40分)1.西周时代的君主政治是建立在以下哪一制度的基础之上的: A .禅让制 B .分封制 C .郡县制 D .行省制 2.由右面的历史短剧台词(片断)A .张骞出使西域B .玄奘印度取经C .郑和下西洋D .清军出兵雅克萨3.中国古代的儒家思想经历了长期的发展。
以下选项搭配不正确的是: A .孔子——以“仁”“ 礼”为核心 B .孟子——“仁政”学说C .董仲舒——人性本恶D .朱熹——以“天理”为核心 4.上海被称为“江海之通津,东南之都会”是在: A .元代 B .明代中晚期 C .清嘉庆道光年间 D .鸦片战争以后 5.关于下列四个朝代疆域四至的图示,不正确的是:6.某英国人著书说,中国的郑和船队早在哥伦布发现美洲之前就已经到达过加勒比海。
你认为判断该说法是否成立的最可靠依据是: A .史学权威的观点B .当地的民间传说C .历史文献的记载D .当地的出土文物长城大海 B. 唐朝前期 地中海外兴安岭 库页岛大海A .秦朝 陇西C .元朝 新疆海南西坡利亚大海外兴安岭库页岛台湾西藏海南诸岛 海南西坡利亚巴尔喀什湖D .清朝前朝 葱岭西藏海南诸岛台湾、钓鱼岛太平洋外兴安岭库页岛7.西欧文艺复兴的发源地和中心是:A.葡萄牙B.西班牙C.意大利D.荷兰8.马克思认为“18世纪美国独立战争给欧洲中产阶级敲响了警种”,其含义是指独立战争:A.冲击了欧洲封建秩序B.推动了欧洲资产阶级革命C.使殖民者感到恐惧D.沉重打击了欧洲封建统治者9.右图是《权利法案》颁布300周年纪念币。
上海市黄浦区2018届高三上学期期终调研测试英语黄浦区2017学年度第一学期高三年级期终调研测试英语试卷(完卷时间: 120分钟满分: 140分)第I卷(共100分)I. Listening ComprehensionSection ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1.A. Before dinner. B. During the meal.C. After dinner.D. Tomorrow evening.2. A. In a hotel. B. At a bus station.C. In a cinema.D. At an airport.3. A. Salesman and customer. B. Boss and secretary.C. Doctor and patient.D. Doctor and nurse.4. A. 4. B.5. C.6. D.7.5. A. The lecture. B. The heat.C. The workload.D. The air quality.6. A. Confident. B. Nervous. C. Uninterested. D. Annoyed..7. A. Visit the company. B. Re-write his resuméC.Get a job on campus.D. Apply for a job with PICC.8. A. He is fearless. B. He is forgetful.C. He is helpful.D. He is thoughtful.9. A. Talking about sports. B. Writing up local news.C. Reading newspapers.D. Putting up advertisements.10. A.She expects to see him soon. B. She agrees with the man.C. She doesn‘t believe he can do it.D. She will work for the library.Section BDirections:In Section B, you will hear one longer conversation and two short passages. After each conversation or passage, you will be asked several questions. The conversation and the passages will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 14 are based on the following conversation.11. A.The scientific steps to write a paper. B. A funny story that they read recently.C. An assignment of a creative writing course.D. A detective case that was just finished.12. A. She encountered a bottleneck when writing a story.B. She was happy that she finished the story easily.C. She was expected to finish the story in a month.D. She decided to give up the story eventually.13. A. Change to another topic. B. Give the story an ending first.C. Do work for another course.D. Write everything occurringto her.14. A. Buy jewels for her mother. B. Locate the security camera.C. Do some research for her writing.D. Rob a jewelry store for ideas.Questions 15 through 17 are based on the following passage.15. A. They don‘t attach importance to scores. B. They attract fewer and fewer students.C. They will take place next week.D. They will no longer exist.16. A. To inspire young people to practice more.B. To encourage young people to be creative.C. To motivate young people to keep learning.D. To urge young people to start up companies.17. A. To bring more economic benefits. B. To help students memorize better.-skills.C. To change the present education system.D. To develop teachers‘ multiQuestions 18 through 20 are based on the following passage.18. A. More communication with others. B. Construction of the life journey.C. Revealing of determination.D. Loss of the social identity.19. A. Depression and isolation. B. Walking around the corner.C. Lack of sleep.D. Getting impatient.20. A. Making it possible to get a pay rise.B. Providing people with new business.C. Giving people time to think about their life again.D. Helping people to find jobs based on their hobbies.II. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passages coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the givenword; for the other blanks, use one word that best fits each blank.Norway is Teaching Travelersto TravelAfter 15 people died during Easter in 1967, the Norwegian Trekking Association and the Red Cross announced their campaign ?Welcome to the mountains, but be responsible‘. Fjellvettreglene, the ?mountaincode‘(21) ______ encourages people to have a healthy and respectful relationship with nature, has sincebecome a crucial part of Norwegian culture. It includes points such as bringing necessary equipment (22)______ (assist) yourself and others, seeking shelter if necessary and feeling no shame in turning around.Nationally, Norway (23) ______ (experience) an 11% increase in tourism in the past decade. From just1,000 tourists in the whole of 2010, Trolltunga, a piece of rockthat stands horizontally out of the mountain,(24) ______ (see) 1,800 visitors in one 2017 day alone. Why? Because people want the same picture they seeon Instagram and Facebook. A lo t don‘t care about the experience of the hike. They just want proof (25)______ they did it.But, while good for the economy, this tourism boom has become a threat (26) ______Norway‘s natural environm ent.Used toilet paper, (27) ______ (abandon) tents and plastic bottles can be found littered all around Trolltunga. And with the high amount of people who come unprepared for such an active hike, Norway‘sleading hiking group, Friluftsliv, also has called for regulations on the number of tourists (28) ______ (hike) to Trolltunga. Lasse Heimdal, leader of the outdoor organization said, ―On a busy day, you may hgulate (29) ______ _____ peopleline for an hour and a half just to get a picture. To control this, we‘d like to recan hike in a day. Starting hike times should also have regulations so people don‘t start too ______ stuck up here.‖Section BDirections: Complete the following passage by using the words in the box. Each word can only be usedonce. Note that there is one word more than you need.A.accommodationB.annualC.declineD.destinationE.dinersF.hostedG.ingredients H.precisely I.ranked J.remote K.talentedWorld’s Best RestaurantThe Black Swan, a rural pub in England has been named ―the world‘s best restaurant‖ by TripAdviso After scorin g up positive feedback, the review website31the pub over fine dining establishments from NewYork to Paris in its32 Travelers' Choice awards.So what‘s it got going for it?。
黄浦区2018学年度第一学期期终基础学业测评高三生命科学试卷 2018-1-19(完卷时间120分钟,满分150分)考生注意:①本试卷分为第Ⅰ卷和第Ⅱ卷两部分。
全卷共9页。
②考生应将答案写在答题纸上,试卷上答题一律无效。
第I卷 (共60分)一.单选题:(共60分。
每小题只有一个正确选项)(一)1分题(共8题)1.根据酶催化作用的底物,分析促使唾液淀粉酶水解的酶是…………………………()A.淀粉酶B.蛋白酶C.分解酶D.水解酶2.临床通过检验尿液中一定时间内的含氮量,可以粗略估计下列哪种物质在该段时间内的氧化分解量……………………………………………………………………………()A.脂肪B.蛋白质C.葡萄糖D.淀粉3.下列各细胞中,分化程度最高的是…………………………………………………()A. 幼小的植物胚细胞B. 叶肉细胞C.根尖分生区细胞D. 造血干细胞4.人和哺乳动物的耳蜗和前庭器分别是………………………………………………()A.声波感受器和触觉感受器B.嗅觉感受器和温觉感受器C.接触感受器和压力感受器D.声波感受器和平衡感受器5.将哺乳动物的新鲜红细胞放入下列溶液中,会使红细胞涨破的溶液是……………()A.0.9%生理盐水B.5%盐水C.10%盐水D.自来水6.包含有500个脱氧核苷酸对的DNA片段可以编码的DNA种类可能为……………()A.4500B.41000C.5018 D.207.人体细胞中决定氨基酸种类的密码子总共有………………………………………()A.64种B.61种C.20种D.4种8.下列属于数量性状的是…………………………………………………………………()A.人的耳垂有无B.人的头发长短C.人的ABO型血型D.人的肤色深浅(二)2分题(共20题)9.R基为-C3H5O,则该氨基酸分子中的C,H,O元素的个数分别是………………………()A.5,9,3 B.5,8,3 C.4,9,3 D.4,8,210.右图所示为叶绿体中色素、蛋白质等成分在膜上的分布。
黄浦区2018学年度第一学期高三年级期终基础学业测评一、填空题:(本大题共10题,每题4分,满分40分)1、已知S ,且复数122,Z i Z t i =+=-的积12Z Z •是实数,则t 的值是__________。
2、已知1sin 43πα⎛⎫-= ⎪⎝⎭,则cos 4πα⎛⎫+ ⎪⎝⎭的值是__________。
3、计算:215lim 3n n n n →∞-⎛⎫+= ⎪⎝⎭__________。
4、已知4311715n n n C P -++=,则正整数n 的值为__________。
5、已知集合{}2230,A x x x x R=--≤∈,{}22240,B x x mx m x R=-+-≤∈,且[]0,3A B ⋂=,则实数m 的值是__________。
6、已知函数()22x f x x+⎧=⎨⎩ 11x x ≤->-若若,若()3f x =,则x 的值是__________。
7、如图,在平面直角坐标中有OAB ∆,其中O 为坐标原点,()()1,cos ,sin ,1A B θθ,当θ在0,2π⎛⎤⎥⎝⎦内变化时,OAB ∆面积的最大值为__________。
8、从5名学生中选3人参加数学、物理、化学三科竞赛,每科只参加1人,若其中学生甲不能参加化学竞赛,则不同的参赛方案有__________种。
9、在5张卡片上分别写着数字1、2、3、4、5,然后把它们混合再任意排成一行,则得到的五位数能被5或者2整除的概率是__________。
(用分数作答) 10、(理)()()()210111x x x -+-++-的展开式中2x 项的系数是__________。
(用数字作答) (文)已知()f x 是定义在R 上的奇函数,又是以3为周期的周期函数,若()()2311,21a f f a -==+,则a 的值是_________。
二选择题:(本大题共4题,每题4分,共16分) 11、已知θ24sin sin θθ-( ).sin cos A θθ .sin cos B θθ- .sin 2C θ .sin 2D θ- 12、已知a 、b 为实数,则a b >饿充分不必要条件( )22.A a b > 11.22a bB ⎛⎫⎛⎫< ⎪ ⎪⎝⎭⎝⎭().lg 2C a b -> .1b D a <13、函数()()0,xf x a a x R =>∈的值域是区间(]0,1,则()2f -与()1f的大小是( )()().21A f f -< ()().21B f f -= ()().21C f f -> .D 无法确定14、已知偶函数()f x 的定义域为{}2,x x a a x R +-<∈,则正数a 的值为( ).1A .2B .3C .4D三、解答题(本大题共6题,第15、16、17题每题6分,第18、19题每题8分,第20题10分,共44分)15.解不等式:()211x x -<-16、已知AB C ∆中,090,3,4ACB BC AC ∠===,P 是AB上动点,求点P 到AC 、BC 的距离乘积的最大值。
17、已知当[]2,2x ∈-时,不等式230x ax a +-<恒成立,求实数a 的取值范围。
18、已知{}n a 是无穷等比数列,且公比1q ≠-,它的前n 项和为n S ,计算2limnn nS S →∞。
19、已知数列{}n a 的通项公式()22n a n =-,递增的正整数数列{}t n 使 1235,,,,,t n n n a a a a a 成等比数列,求数列{}t n 的通项公式。
20、已知元素为实数的集合S 满足下列条件:①1、0S ∉;②若a S ∈,则11S a∈- ()1若{}2,2S -⊂,求使元素个数最少的集合S ;()2在上一小题求得的集合S 中,任取3个不同元素,,a b c ,求使1abc =-的概率。
()3(本小题选理科的学生做,选文科的学生不做)若非空集合S 为有限集,则你对集合S 的元素个数有何猜测?并请证明你的猜测正确。
黄浦区2018学年度第一学期高三年级期终基础学业测评一、填空题:(本大题共10题,每题4分,满分40分)1、已知3,且复数122,Z i Z t i =+=-的积12Z Z •是实数,则t 的值是____2______。
2、已知1sin 43πα⎛⎫-= ⎪⎝⎭,则cos 4πα⎛⎫+ ⎪⎝⎭的值是____ 13-______。
3、计算:215lim 3n n n n →∞-⎛⎫+= ⎪⎝⎭____2______。
4、已知4311715n n n C P -++=,则正整数n 的值为______10____。
5、已知集合{}2230,A x x x x R=--≤∈,{}22240,B x x mx m x R=-+-≤∈,且[]0,3A B ⋂=,则实数m 的值是____2______。
6、已知函数()22x f x x+⎧=⎨⎩ 11x x ≤->-若若,若()3f x =,则x 的值是____ ______。
7、如图,在平面直角坐标中有OAB ,其中O 为坐标原点,()()1,cos ,sin ,1A B θθ,当θ在0,2π⎛⎤⎥⎝⎦内变化时,OAB 面积的最大值为____12______。
8、从5名学生中选3人参加数学、物理、化学三科竞赛,每科只参加1人,若其中学生甲不能参加化学竞赛,则不同的参赛方案有____48______种。
9、在5张卡片上分别写着数字1、2、3、4、5,然后把它们混合再任意排成一行,则得到的五位数能被5或者2整除的概率是____ 35______。
(用分数作答) 10、(理)()()()210111x x x -+-++-的展开式中2x 项的系数是___165_______。
(用数字作答) (文)已知()f x 是定义在R 上的奇函数,又是以3为周期的周期函数,若()()2311,21a f f a -==+,则a 的值是___23______。
二选择题:(本大题共4题,每题4分,共16分)11、已知θ( B ).sin cos A θθ .sin cos B θθ- .sin 2C θ .sin 2D θ- 12、已知a 、b 为实数,则a b >饿充分不必要条件( C )22.A a b > 11.22abB ⎛⎫⎛⎫< ⎪ ⎪⎝⎭⎝⎭().lg 2C a b -> .1b D a <13、函数()()0,xf x a a x R =>∈的值域是区间(]0,1,则()2f -与()1f 的大小是( A )()().21A f f -< ()().21B f f -= ()().21C f f -> .D 无法确定14、已知偶函数()f x 的定义域为{}2,x x a a x R +-<∈,则正数a 的值为( B ).1A .2B .3C .4D三、解答题(本大题共6题,第15、16、17题每题6分,第18、19题每题8分,第20题10分,共44分)15.解不等式:()211x x -<-()221111111x x x x x x ≠⎧⎪-<-⇔-<-⇔⎨-<⎪⎩ 110111102x x x x x ≠≠⎧⎧⇔⇔⇔<<⎨⎨-<-<<<⎩⎩或12x << 另解:()()2211111x x x x x ≥⎧⎪-<-⇔⎨-<-⎪⎩或()2111x x x <⎧⎪⎨-<-⎪⎩ 21320x x x ≥⎧⇔⎨-+<⎩或21x x x <⎧⎨-<⎩ 12x ⇔<<或01x <<16、已知ABC 中,090,3,4ACB BC AC ∠===,P 是AB 上动点,求点P 到AC 、 BC 的距离乘积的最大值。
显然5AB =,设()05PA a a =≤≤,则点P 到BC 的距离为()()455cos 5a a A --=,点P 到AC 的距离为3sin 5a a A =∴两距离之积()()2512125325252a a a a +-⎡⎤=-≤=⎢⎥⎣⎦当且仅当52a =时取到,∴所求的最大值为3。
另解:以C 为原点,,CA CB 分别为,x y 轴的正半轴建立直角坐标系, 则AB 的方程为143x y+=,设点P 的坐标为()00,x y , 则点P 到,BC AC 的距离分别为00,x y0000000012,343123x y x y x y x y =+≥=≤ 当且仅当001432x y ==时成立,()00max 3x y ∴=。