2011深圳一模
2011年深圳一模
2011年深圳市高三年级第一次调研考试理科综合化学2011.3本试卷共12页,36小题,满分300分,考试用时150分钟。
一、单项选择题7.下列说法正确的是①植物油和裂化汽油都可以使溴水褪色②葡萄糖、油脂和蛋白质都能发生水解反应③按汽油、煤油、柴油的顺序,含碳量逐渐增加④防腐剂福尔马林(含)可用作食品保鲜剂⑤乙醇、乙酸、乙酸乙酯都能发生取代反应A.①③⑤ B.①②⑤ C.②④⑤ D.②③④答案:A解析:葡萄糖是单糖,无法再水解;福尔马林对身体有严重危害,是不能做食品保鲜剂的,①④错。
分类:有机物质性质题8.下列离子反应方程式正确的是A.氯气与水反应:Cl2+H2O=2H++Cl-+ ClO-B.Ba(OH)2溶液与稀硫酸反应:Ba2++OH-+H++SO42-=BaSO4↓+H2OC.钠与水反应:2Na+2H2O=2Na++2OH-+H2↑D.制备Fe(OH)3胶体的反应:Fe3++3H2O= Fe(OH)3↓+3H+答案:C解析:A中生成物次氯酸属于弱酸,是不能拆分的,应该写成分子式;B 氢氧化钡与硫酸反应时,氢离子与氢氧根离子个数不对,应该都为两个;D 中氢氧化铁胶体不应该写沉淀符号分类:离子方程式的书写9.离子可在琼脂中移动,某简易电池如图所示,放电时,下列说法错误的是A.锌极上电极反应式为:Zn-2e-=Zn2+B.MnO2得电子被还原C.NH4+离子通过琼脂向锌极移动D.外线路中电流的方向从碳棒到锌片答案:C解析:关于原电池而言,在电解液中阳离子移向正极,阴离子移向负极,而芯片比碳棒活泼,在原电池中作负极,C错分类:原电池10.设nA为阿伏加德罗常数的数值,下列说法错误的是A.1molNH3中含有3nA个N-H键B.0.1mol/L Na2CO3溶液中含有0.1nA个CO32-C.标准状况下,11.2L CO2中含有nA个O原子D .20g 重水(O H 221)中含有10n A 个个电子答案:B解析:B 选项中并没有指出碳酸钠溶液的体积,只知道浓度,因此是无法知道具体粒子的物质的量的。
2011深圳一模作文题目、导写及例文
2011深圳一模作文题目、导写及例文第一篇:2011深圳一模作文题目、导写及例文2011深圳一模作文题目、导写及例文题目:从以下两题中任选一题作文,不少于800字。
(1)阅读下面的文字,选择一个角度,写一篇文章,文体自选,题目自拟。
有学者在评价金庸时认为,一部射雕,表面上是写武侠,骨子里却全是至情至性的文人。
最称心如意的是那个旷世的黄东邪,他有一个自己的岛,外人的进入是不被允许的。
这岛上桃花盛开,山石奇秀,他有箫有剑有明月有好风有爱女有一望无际的大海,因此他懒得与人往还,因为他只爱他自己的岛——那只有他那样智力的人才配居住的岛。
难怪有人说,做人一定要学黄东邪:你可以顽皮,你可以偶尔犯点邪气,但你一定要有一个别人无力进入的、只属于你的美丽的岛。
(2)请以“两只翅膀的翱翔”为题目写一篇文章,文体自选。
【审题提示】题目要求学生从材料中选择一个角度发表自己的看法,材料中信息比较多,同学们可以抓住其中一些关键语句进行立论。
例如黄东邪“有一个自己的岛,外人的进入是不被允许的” “他懒得与人往还,因为他只爱他自己的岛”“做人一定要学黄东邪:你可以顽皮,你可以偶尔犯点邪气,但你一定要有一个别人无力进入的、只属于你的美丽的岛”等等。
可以写成一般的议论文、时评、短论,或者其他能够表达自己看法的文体。
学生从下列角度立意可视为切合题意:1、人应该有自己的精神追求(个性、爱好、兴趣……)2、珍爱(坚守)自己的或“身边的”美丽(拥有、)3、做至情至性的人至:最、极。
至情:至诚的感情;至性:多指天赋的卓绝的品性。
至情至性的性情中人:指感情丰富,率性而为的人,褒义词。
常常用来形容一个人随本性,情感外露。
4、活出真我(个性)的风采5、其他言之成理的角度【作文点评】【优文01】使自我常在(题目即为中心论点)高三(1)班黄雅齐金庸大师笔下的黄东邪,顽皮,偶尔犯点小邪气,却为众人称赞、羡慕,为何?因为他有一个只属于他自己的美丽小岛。
(引材料,简洁明了,强调“属于他自己”,暗示自己的切入角度。
2011深圳一模英语答案解析
Ⅰ语言知识及应用(共两节,满分45分)第一节完形填空(共15小题;每小题2分,满分30分)该项考点:名词6个、动词6个、形容词2个、副词1个。
1.答案为B。
考查学生依据上下文,实际语用名词的能力。
2.答案为C。
考查学生把握主题,辨析形容词的能力。
3.答案为A。
考查学生在语境中对名词的语用能力。
4.答案为C。
考查学生在语境中对动词的辨析和运用能力。
5.答案为D。
考查学生根据下文提示,甄别名词的能力。
6.答案为B。
考查学生根据语境,活用动词的能力。
7.答案为A。
考查学生短语动词在语境中的活用能力。
8.答案为C。
考查学生借助主题句选用动词的能力。
9.答案为D。
考查学生在语境中灵活运用名词的能力。
10.答案为B。
考查学生根据上文选择动词的能力。
11.答案为C。
考查学生根据主题辨析形容词的能力。
12.答案为A。
考查学生捕捉主题中关键名词的能力。
13.答案为B。
考查学生对副词的语境分析能力和逻辑思维能力。
14.答案为D。
考查学生对动词的逻辑思维能力和运用能力。
15.答案为C。
考查学生对上下文语境中反义名词的活用能力。
第二节语法填空(共10小题; 每小题1.5分,满分15分)该项考点:动词2个(谓语1个/21,非谓语1个/25)、连词2个(20/23)、介词2个(19/22)、名词1个(18),代词1个(24),副词1个(16)、冠词1(17)。
其中,限制性填空(给出提示词)4个,自由填空6个。
16.答案为skillfully。
考查在语境中词性转换的能力。
17.答案为an。
考查语境中冠词的正确使用。
18.答案为belief。
考查语境中词性转换的能力。
19.答案为to。
考查语境中的常用介词搭配。
20.答案为when/as。
考查语境中从属连词的使用。
21.答案为were carried。
考查动词的语态和主谓一致。
22.答案为on。
考查介词搭配的实际运用。
23.答案为that。
考查结果状语从句的运用。
24.答案为it。
2011深圳一模阅读理解深入解读
(2011年深圳一模A篇)Whether it’s a carol (圣诞颂歌) service or an evening of karaoke down the pub many people will enjoy a good old singsong this Christmas. Singing aloud will not just lift the spirits –it’s good for your physical health as well. Filling the lungs with air, increasing the heart rate and getting blood pumping round the body faster can all help our physical health.For the past few years Heart Research UK has been running a Christmas campaign aimed at getting people singing, simply for the benefit it can bring. The organizer of the campaign says singing is a safe, simple and social activity that everyone can enjoy. “Singing is linked to long life, stress reduction, and general health protection. It also brings a great amount of happiness. It is impossible to sing well with a long face because it affects your pitch (音高).”Professor Graham Welch, who leads the International Music Education Research Centre at the University of London, has spent more than 30 years studying the effects of singing. He says that singing is a form of exercise. It means we’re also having a strong aerobe activity (有氧运动) when we’re singing, which results in increasing the feeling of pleasure while decreasing that of stress.“And communal singing – like in a singing group, a church service or even a singsong in the pub, helps improve our sense of self – respect. It increases our sense of satisfaction with ourselves, a greater sense of feeling included.”Helen Astrid, a singing teacher, also sees the great effects t hat singing brings. “It lifts us up on a spiritual level, it helps our self –respect, and it’s great for all ages from small kids to grannies you can have a good sing and let your hair down.”But she warns people not to have too many beers or glasses of wine, though a glass may help them gather courage before taking to the stage during the holidays.26.Heart Research UK holds a campaign to .A.encourage people to sing for God at ChristmasB.study the effects of singing on peopleC.get people to sing and improve their healthD.bring happiness to people celebrating the holiday27.What are the benefits of singing according to Graham Welch?a.Singers living longer. b.Singers general health protection.c.Singers feeling happier. d.Singers stress reduced.e.Singers self-respect improved.A.a,b,c B.b,c,d C.c,d,e D.e,a,b,28.The underlined part “let your hair down” probably means.A.feel at ease B.protect yourselfC.dress casually D.cover your nervousness29.What can we infer from the passage?A.Singing at Christmas is good for health.B.In a low mood one is not able to sing well.C.Experts have disagreements on singing.D.Singing is the same as other aerobic activities.30.Which is the best title of the passage?A.Karaoke-Best Place for Singing!B.Christmas-Best Time for Singing!C.Singing-Healthy but not Easy!D.For health-Let’s Sing!【答案与解析】语篇解读:本文是一篇科普说明文,主要介绍歌唱对于人的身心健康有着积极的作用。
2011届深圳市一模理综物理试题及答案
2011年深圳一模理综物理试题及答案2011.3.4单项选择题13.下列叙述中,正确的是A .物体温度越高,每个分子的动能也越大B .布朗运动就是液体分子的运动C .一定质量的理想气体从外界吸收热量,其内能可能不变D .热量不可能从低温物体传递给高温物体 14.已知金属钾的逸出功为2.22eV .氢原子的能级如图所示,一群处在n =3能级的氢原子向低能级跃迁时,能够从金属钾的表面打出光电子的光波共有 A .一种 B .两种 C .三种 D .四种15.如图,在同一竖直面内,小球a 、b 从高度不同的两点,分别以初速v a 和v b 沿水平方向抛出,经时间t a 和t b 后落到与两抛出点水平距离相等的P 点.若不计空气阻力,则 A . t a >t b , v a <v b B . t a >t b , v a >v bC . t a <t b , v a <v bD . t a <t b , v a >v b16.汽车以额定功率在平直公路上匀速行驶,在t 1时刻突然使汽车的功率减小一半,并保持该功率继续行驶,到t 2时刻汽车又开始做匀速直线运动(设汽车所受阻力不变).则在t 1 t 2时间内 A .汽车的加速度保持不变 B .汽车的加速度逐渐减小 C .汽车的速度先减小后增大 D .汽车的速度先增大后减小双项选择题17.下列说法正确的有A .卡文迪许通过扭秤实验,较准确地测出了万有引力常量B .安培通过实验,首先发现了电流周围存在磁场C .法拉第通过实验研究,总结出了电磁感应的规律D .牛顿根据理想斜面实验,提出力不是维持物体运动的原因18.氘核、氚核、中子、氦核的质量分别是m 1、m 2、m 3和m 4,如果氘核和氚核结合生成氦核,则下列说法中正确的是A .核反应方程为21H+31H→42He+10nB .这是一个裂变反应C .核反应过程中的质量亏损△m=m 1+m 2-m 3D .核反应过程中释放的核能△E=(m 1+m 2-m 3-m 4)c 2n =1n =∞n =2 n =319.如图,地球赤道上的山丘e ,近地资源卫星p 和同步通信卫星q 均在赤道平面上绕地心做匀速圆周运动.设e 、p 、q 的圆周运动速率分别为v 1、v 2、v 3,向心加速度分别为a 1、a 2、a 3,则 A .v 1>v 2>v 3B .v 1<v 3<v 2C .a 1>a 2>a 3D .a 1<a 3<a 220.两个质量和电荷量都相同的带电粒子a 、b ,以不同的速率对准圆心O 沿着AO 方向射入圆形匀强磁场区域,其运动轨迹如图.若不计粒子的重力,则下列说法正确的是A .a 粒子动能较大B .b 粒子速率较大C .b 粒子在磁场中运动时间最长D .它们做圆周运动的周期T a = T b21.如图所示,平行板电容器与直流电源连接,下极板接地.一带电油滴位于容器中的P 点且处于静止状态.现将上极板竖直向上移动一小段距离,则 A .带电油滴将沿竖直方向向上运动B .P 点的电势将降低C .电容器的电容减小,极板带电量减小D .带电油滴的电势能保持不变34.(18分)(1)(8分)用落体法研究机械能守恒定律的实验中,某同学按照正确的操作选得纸带,但在处理纸带的过程中不小心把纸带撕成三个小段,并丢失了中间段的纸带,剩下的两段纸带如图所示.已知电源的频率为50Hz ,在纸带上打出的各点间距离记录在下图中.①A 、B 两点间的平均速度是______m/s ;②丢失的中间段纸带上有______个点;③由这两段纸带可以求得当地的重力加速度g =_____m/s 2.(2).(10分)有一个额定电压为2.8V ,功率约为0.8W 的小灯泡,现要用伏安法描绘这个灯泡的I —U 图线,有下列器材供选用:A .电压表(0~3V ,内阻6 kΩ)B .电压表(0~15 V ,内阻30kΩ)C .电流表(0~3 A ,内阻0.1Ω)D .电流表(0~0.6 A ,内阻0.5Ω)E .滑动变阻器(10Ω,2 A )F .滑动变阻器(200 Ω,0.5 A )G .蓄电池(电动势6V ,内阻不计)①用如图所示的电路进行测量,电压表应选用______,电流表应选用______.滑动变阻器应选用______.(用序号字母表示)②通过实验测得此灯泡的伏安特性曲线如图所示.由图线可求得此灯泡在正常工作时的电阻为______Ω.③若将此灯泡与电动势6V 、内阻不计的电源相连,要使灯泡正常发光,需串联一个阻值为______Ω的电阻. 35.(18分)轻质细线吊着一质量为m=0.32k g ,边长为L=0.8m 、匝数n=10的正方形线圈总电阻为r=1Ω.边长为2L 的正方形磁场区域对称分布在线圈下边的两侧,如图甲所示.磁场方向垂直纸面向里,大小随时间变化如图乙所示,从t=0开始经t 0时间细线开始松驰,g=10m/s 2.求: (1)在前t 0(2)在前t 0时间内线圈的电功率;(3)求t 0的值.乙36. (18分)如图所示,倾角为37°的足够大斜面以直线MN为界由两部分组成,MN垂直于斜面水平底边PQ且其左边光滑右边粗糙,斜面上固定一个既垂直于斜面又垂直于MN的粗糙挡板.质量为m1=3kg的小物块A置于挡板与斜面间,A与挡板间的动摩擦因数为μ1=0.1.质量为m2=1kg 的小物块B用不可伸长的细线悬挂在界线MN上的O点,细线长为l=0.5m,此时,细线恰好处于伸直状态.A、B可视为质点且与斜面粗糙部分的动摩擦因数均为μ2=0.3,它们的水平距离S=7.5m.现A以水平初速v0=5m/s向右滑动并恰能与B发生弹性正撞.g=10m/s2.求:(1)A碰撞前向右滑动时受到的摩擦力;(3)B沿斜面做圆周运动到最高点的速度.34.(1) ①0.21m/s ……2分 ②2 …… 3分 ③9.5 m/s 2 ……3分(2) ①A , D , E …… 各2分 ②10Ω…… 2分 ③11Ω……2分35.解:(1)由法拉第电磁感应定律得:)(4.05.0)28.0(2110)2(2122V tB L n tn =⨯⨯=∆∆=∆∆=φε…………5分(2)A rI 4.0==ε )(16.02W r I P ==…………………………5分(3)分析线圈受力可知,当细线松弛时有:mg L InB F t ==2安 rI ε=)(220T Ln mgr B t ==ε…………………………4分由图像知:05.010t B t += 解得:s t 20=……………………4分36.解:(1)分析物块A 的受力得: )(8.16.01031.037sin 011N g m f =⨯⨯⨯==μ…………………………4分(2)设A 运动至与B 相碰前速度为 v 1,由动能定理得:201211011212137sin v m v m s g m -=⋅-μ 解得:s m v /41= …………4分A 和B 发生弹性正碰,由动量守恒和能量守恒得:221111v m v m v m +'= 222211211212121v m v m v m +'=解得:s m v /21=' s m v /62= …………………… 4分 设A 滑行的位移为s 1,由动能定理得:21111112210)37sin 37cos (v m s g m g m '-=+-μμ 解得:m m s 67.0321≈=……………………………………4分(3)设B 做圆周运动到最高点的速度为v 3,由动能定理得:2222322222121237sin 37cos v m v m l g m l g m -=⋅--πμs m v /1.43≈ (2)。
2011深圳一模文综答案
2011年深圳市高三年级第一次调研考试文科综合2011.3【地理参考答案】40.(27分)(1)美国(2分)亚寒带针叶林(或针叶林)(2分)(2)1997 (或1998)(2分)天然林(或森林)(2分)(3)加剧全球气候变暖(或温室效应增强)(2分)生物多样性减少(或大量物种灭绝)(2分)(4)①木材加工业发达(或木材消费量大);②保护本国森林资源;③本国木材品种较单一(或本国森林生长较慢)。
(任答对两点得6分)(5)①大力植树造林;②提高木材利用效率;③开发木材替代品;④从国外进口木材。
(任答对三点得9分)41.(29分)(1)石油和天然气(或石油)(2分);管道运输(2分)(2)公路(2分);国土面积小(多短途运输)(2分)。
(3)外籍人口的大量迁入(2分);该国石油资源丰富,经济高速发展提供了大量的就业机会(3分);人口老化,养老负担加重(2分);劳动力不足(2分);鼓励生育(2分);接纳移民(2分)(4)俄罗斯:大部分国土地处高纬,气温偏低(2分),冻土广布(2分);卡塔尔:终年受副热带高气压带(和东北信风带)控制,气候干旱(2分),沙漠广布(2分)2011年深圳一模文综历史科参考答案及评分标准38.(1)支持:明清时期,我国古代农耕文明高度发达,农业、手工业、商业都有较大发展,人口增长迅速,社会经济的整体水平仍处于世界领先地位;这一时期西欧的发展主要建立在对外财富掠夺基础上,西欧内部整体经济发展水平并不高。
反对:尽管农耕经济的水平仍然较高,但商品经济的发展严重受阻,资本主义萌芽成长缓慢;而新航路开辟以后的三百年,西欧商品经济、资本主义萌芽迅速发展,奠定了向工业文明过渡的基础。
(评分说明:支持或反对2分,理由任意两点4分,只有观点没有理由零分。
)(2)政治上:代议制民主政治的建立和完善。
经济上:两次工业革命促进资本主义经济迅速发展。
对外关系上:殖民扩张促进资本主义世界体系最终确立。
思想文化上:民主自由思想、人权法治理念深入人心,西方价值观影响力不断增强。
2011年深圳一模文综政治试题与答案
A.科学执政、民主执政 B.审慎用权,科学民主决策C.依法行政,行使国家立法权 D.保障人民直接行使国家权力28.20 10年10月15日,中国共产党第十七届中央委员会第五次全体会议审议通过了《中共中央关于制定国民经济和社会发展第十二个五年规划的建议》,并将按程序提交全国人民代表大会审议通过。
这体现了①中国共产党依法执政②中国共产党履行经济建设的职能③全国人民代表大会行使最高立法权④中国共产党是中国特色社会主义的领导核心A.①② B.②③ C.③④ D.①④29.深圳市在对口援疆过程中,充分借助企业力量,引导深圳及外资企业西进喀什,建立“产业飞地”,聚集能量,形成新的发展合力,促进新疆维吾尔自治区经济和社会的发展,创造了深圳特色的企业援疆模式。
这体现了我国A.坚持民族平等的原则 B.坚持民族团结的原则C.实行民族区域自治制度 D.坚持各民族共同繁荣的原则30.2010年11月23日,朝韩炮击事件发生后,中国方面立即表明关注态度,建议恢复六方会谈,并希望有关各方保持克制,多做有利于半岛和平稳定的事情。
我国在朝韩问题上的态度①体现出中国在国际上的主导地位②体现了我国外交政策的基本立场③表明中国是维护世界和平的重要力量④说明解决地区问题必须发挥中、美、俄在联合国的作用A.①② B.②③ C.②④ D.③④31.第16届亚运会于2010年11月27日在广州闭幕。
闭幕式晚会以歌唱、舞蹈为主题,展示出亚洲多国的歌舞文化,既有中国广州的《月光光》,又有日本的《樱花》、印度尼西亚的《星星索》,它们共同构成一幅展现亚洲文化盛会的壮观场面。
这表明①文化是民族的,也是世界的②各民族文化在交流中趋同融合③岭南文化比其他文化更具有优越性④亚运会增强了中华文化的国际影响力A.①② B.②③ C.③④ D.①④32.漫画《禁果》告诫青少年应该做到①加强行业自律②自觉树立社会主义荣辱观[来源:学+科+网]③加强对网络的引导和管理④提高辨别不同性质文化的能力A.①② B.①③C.②④ D.③④33.“自然神就是自然本身,人神就是人本身”。
深圳中考2011模拟一附答案
深圳2011年中考英语模拟考试试题第Ⅰ卷(选择题,共75分)一、听力二、单项选择(16分)( )16. All the _______ teachers enjoyed themselves on March 8th, because it was their own holiday.A.manB.menC.womanD.women( )17. In our city, ______ middle school students want to work as a teacher in the future.A.thousandB.thousand ofC.thousands ofD.two thousand of( )18. -------Do you like the pop star Zhou Jielun or the movie star Liu Dehua?-------______. I am not their fan.A.BothB.EihterC.NeitherD.All( )19.It’s very nice _______ pictures for me..A.of you to drawB. for you to drawC.for you drawingD.of you drawing( )20.------Can you guess_______ the MP3 player yesterday?------Sorry, I’ve no idea abo ut it.A.how much did he pay forB.how much did he spend onC.how nuch he paid forD.how he has got( )21.We’d better ______ off our mobile phones. The meeting will start in a minute.A.to turnB.turnC.turningD.turned( )22.She still failed in the exam, ______she tried her best.A.thoughB.becauseC.ifD.or( )23.------Is this your dictionary?------No. _____ is in the schoolbag.A.HisB.myC.HersD.Mine( )24.------Tom, it’s cold out side. ______ your coat when you go out.------OK, Mom.A.Take offB.Take awayC.Put awayD.Put on( )25.-------I called you at half past nine this morning, but there was no answer.------Oh, sorry. I _____ with my cousin in the supermarket.A.shoppingB.was shoppingC.shoppedD.will shop( )26.------Nice to meet you, Mile. ____________?------Everything is OK. Thanks.A.How is it goingB.What are you doingC.How are you goingD.How are you.( )27.------Did Jack come to our party yesterday?------No, he _______A.didn’t inviteB.wasn’t invited c.isn’t invited D.hasn’t invited( )28.-----Do you know about Florence Nightingale?-----Yes, she was well-known ______ a nurse in England _____her kindness to the sick and wounded soldiers.A.as; asB.for; asC.to; forD.as; for( )29.We traveled all night to London and got there_______ the morning of Sunday.A.inB.onC.atD.to( )30.------Will you please go to the movie Kongfu with me?------No, I won’t. I _______ it aleady.A.sawB.have seenC.seeD.had seen( )31. I think no bed here is big enough for him______.A. sleeping inB. sleepingC. to sleepD. to sleep on三、完型填空(15分)For me, Christmas always began in the middle of the cold, windy month of November. My sister Alice and I sat down in front of the fire and wrote a __32_ to father Christmas, telling him about all the presents we _33__. We carefully posted the letter to “Father Christmas, the North pole”Christmas Eve came. The whole family helped to __34__ the house, put up the Christmas tree and blow up the balloons. Then, in the afternoon, when Aunt Kate and my two cousins arrived, __35__ was ready. Before we went to bed, we left some wine and meat for Father Christmas and then put our __36_ at the end of our beds. We tried to keep _37__ as long as possible to see Father Christmas, but the next thing we knew was that it was __38__----Christmas morning!We couldn’t wait to __39__ the stocking. It was now full of all kiinds of small presents and sweets. Christmas morning was bright and sunny. After going to church, my cousin David and I went out into the garden to __40 our new presents. Lunch was always late, but what a lunch! Delicious turkey with all the vegetables followed by fruits and ice creams.__41_ lunch, Father, Mother and Aunt rested on the sofas in front of the Queen’s speech on TV. We took out the toys, put on the funny paper hats, laughed at the jokes and played __42_. Then came the afternoon tea and a large __43__ cake covered with snowmen. It didn’t seem possible, __44_ we still went on eating. By bedtime all of the chidren were very __45__. As soon as Mom __46__ the light, we all fell into a deep sleep. ( )32. A.card B. letter C. diary D. composition( )33. A. wanted B. carried C. sold D. borrowed( )34. A. repair B. build C. choose D. decorate( )35. A. something B. nothing C.everything D. anything( )36. A.shoes B. trousers C. jackets D. stockings( )37. A. awake B. asleep C. alone D. away( )38. A. morning B. afternoon C. evening D. night( )39. A..wash B. change C. open D. hang( )40. A. hand in B. play with C. throw away D. pass on( )41. A. Before B. After C. During D. At( )42. A. happily B. carefully C. silently D. slowly( )43. A. birthday B. New Year C. Christmas D. Thanksgiving( )44. A.but B. so C. or D. and( )45. A.hungry B.tired C. excited D. surprised( )46. A. turned on B. turned back C. turned up D. turned off四、阅读理解(24分)阅读短文,回答后面的问题ACan plants eat people? Probably not, but there are many plants that eat meat. Some of them are big. And they can eat small animals. One famous meat-eating plant is the Venus flytrap.The Venus flytrap is a very strange plant. It grows in dry parts of the United States. Its leaves are like the pages of a book. They can open and close very quickly. Inside the leaves, there are three small hairs. If a fly touches one of the hair, the leaf presses the fly until it is dead. Then, the plant covers the fly. Slowly, the plant eats the fly.Why do plants do it? Most plants get what they need from the sun, the air, and the ground. In some places, the ground is very poor. It doesn’t have all these important things, especially nitrogen(氮). Animal meat has a lot of nitrogen, so some plants eat meat to get what they need. Let’s hope that some of the bigger plants don’t get the same idea!( )47. The Venus flytrap is a kind of _______.A. plantB. animalC. foodD. meat( )48. From the passage, we learn that______.A. all plants can eat peopleB. all plants can eat animalsC. some plants can eat peopleD. some plants can eat animals( )49. The underlined word “presses” probably means ________ in Chinese.A. 挤压B. 关上C. 打开D. 松开( )50. Why do some plants eat animal meat? Beause _______.A. plants are dangerous to animalsB. animals are dangerous to plantsC. plants want to get what they need from animal meatD. plants want to protect themselves against animalsB( )51. what is Michiko’s dream?A. Wisiting Egypt.B. Going from one place to another in a minute.C. Going to a top uneversityD. Inventing a language machine.( )52. How old will Joma be when the 2008 Olympic Games are held?A. FourteenB. fifteen.C. SixteenD. Eighteen( )53. Which sentence is RIGHT according to the passage?A. People in Tibet will be able to get to Beijing by train in about two days.B. Marie is now studying English in the USA.C. The Qinghai Tibet Railway hasn’t been built yet.D. Masha wants to be a reporter when she grows up.( )54. The best title for this passage would be _________.A. I Have a DreamB. Different Students From Different CountriesC. Five Middle School StudentsD. Our InventionCDo you want to live a happier, less stressful life? Try laughing for no reason at all. That’s how thousands of people start their day at Laughter Clubs around the world----- and many doctors now think that having a good laugh might be one of the best ways to stay healthy. The first Laughter Club was started in Mumbai, India, in 1995 by Dadan Kataria. “Young children laugh about 300 times a day. Adults laugh between 7 and 15 times a day,” says Dr Kataria. “Evryone’s naturally good at laughing------it’s the universal language. We want people to feel happy with their lives.” There are now more than 500 Laughter Clubs in India and over 1,300 worldwide.Many doctors are also interested in the effect(效果) of laughter on our health. According to a 5-year study at the UCLA School Medicine in California, with laughing there is less stress in the body. Laugher improves our health against illness by about 40%.So, what happens at a Larghter Club? I went along to my nearest club in South Londong to find out. I was quite nervous at the beginning of the class, to be honest ------ I wasn’t interested in laughing with a group of strangers, and I was worried about looking stupid. Our laughter teacher told us to clap our hands and say “ho ho ho, ha ha ha,” while looking at each other. However, our bodies can’t tell the difference between fake laughter and real laughter, so they still produce the same healthy effects.Surprisingly, it works! After ten minutes everybody in the room was laughing for real------ and some people just couldn’t stop! At the end of the class I was surprised by how relaxed and comfortable I felt. So if you’re under stress, then start laughing. You might be very pleased with the results!( )55. In which country was the first Laughter Club started?A. Britain.B. America.C. Australia.D. India.( )56. How did the writer feel at the beginning of the class?A. Surprised.B. Pleased.C. Nervous.D. Sressful.( )57. When did the people in the club begin to laugh for real?A. After a few minutesB. After a few hoursC. After a few secondsD. After a few days.( )58. which of the following is true according to the passage?A. Fake laughter and real laughter are both good for health.B. 40% of the people in Laughtr Clubs are good friendsC. Aldults laugh more often than children in a dayD. Laughing is the best way to prevent illness.DWhat would you be like if the entrance exam to senior high school (中考) was tomorrow ? Peaceful and happy as usual ? Or , would you become worried and uneasy ?“I was surprised at how I could get angry so easily with my parents before a big exam ,” said Junior 3 student Wang Yangqian from Hefe i . “I couldn’t fall asleep even after I’d been in bed for two hours .”Not only exams but also other things , like a big game , can also make you a bit different from how you are usually .You may be acting differently because you are stressed out . Stress is what you feel when you are worried or uncomfortable about something . Usually your hands get wet and your heart beats faster . You feel stressed because you might ask too much of yourself sometimes .Or, your parents ,teachers or classmates put too much pressure on you .This can make you worried .But being stressed is not always a big problem . Everybody , even sports stars, can get a little worried before a big game .Some kinds of stress are good . Good stress might show up when you’re called on in cl ass or when you have to give a report .This kind of stress can help you get things done .You may do a better job in your book report if the anxiety (焦虑) pushes you to do more work before you read it to the class .Sometimes stress can turn into something bad if you keep having stressful feelings over a long time . This kind of stress isn’t going to help you . It can make you sick .You may have trouble paying attention at school and forget things easily .So, remember to stay relaxed . It won’t be the end of the world, even if you don’t pass the exam( ) 59. The main idea of this passage is ________A .Stress only makes people worriedB. Stress can push you to work harderC.Stress can be good or bad for peopleD.Stress always causes problems( ) 60. According to the passage , what will happen if people are stressed ?A. They will sleep very wellB. Their heart will beat fasterC. Their hands will become dirtyD. They will find lots of problems( ) 61. From the passage , you may feel stressed except when you ______A. worried or uncomfortable about somethingB. ask too much of yourselfC. have too much pressureD. pass an exam easily( )62. The best and healthy way to get rid of stress may be _________A. working hard all dayB. smokingC. listening to some light musicD. sleep and try to forget everything第II卷(非选择题,共45分)五、词汇考查:根据句意或汉语提示完成单词(10分)1. No eating, drinking or smoking is a__________ in the computer room.2. Liqun Supermarket is always c__________ with people every day.3. Thomas Edison was one of the greatest i__________ in the world.4. The whole world is getting dirtier and dirtier. We need to protect our natural e___________.5. ------Why do you take an u__________ when you go out.------Well, the radio says it’s going to rain later on.6. Bill Gates gets four __________(百万) e-mails a day. Most of them are not important.7. There are a lot of __________(德国人) in our company.8. This time I did ________(差) in the exam than last time.9. Thank you for ____________(借) me your dictionary. I’ll return it soon..10. ___________(不幸运的是), he was badly hurt in the accident六、阅读表达(10分)阅读短文,然后按要求完成后面的题目With more and more farmers coming to work in cities, their children follow them., However, problems appear. One of these problems is that it is difficult for these children to get education in cities.Luckily, there are some free schoools for them, but they are not enough. Ten-year-old Li Xin is one of the lucky girls who get a chance to study in one of these schools. Although she has to spend about two hours and change buses twice, she is very happy. As a child from a migrant worker’s(外来务工人员)family in the city, finally she has been given the chance to study. 1.________, these free schools are their best choice, because they can have free classes, textbooks, uniforms and meals in the school for two years.But there is a long way to go. 2._______, because running a school is not easy and needs lots of money. A school officer said they needed at least one million yuan to run the school. “Luckily, some people and companies donate money, used books and a lot more other things to help us. A lso some people work as teachers for free.” he added.In one word, both the government and the people keep improving the whole country’s education either in countries or in cities. Don’t you think the children nowadays are luckier than their parents were? Anyhow, we must try to give them an equal(平等)chance to get better education so that we can make our society a harmonious(和谐)one.◆从A、B、C三个选项中,为短文1、2处选出两个适当的选项,并将其字母标号分别填在下面1、2的空白处。
2011深圳市高三一模生物试题及答案
2011深圳市一模生物试题及答案一、选择题1.下列有关化合物或结构的叙述,正确的是A.植物细胞都含有溶酶体、叶绿体和内质网B.毛霉、青霉和酵母菌都含有核膜和线粒体C.生长素和干扰素的基本组成单位都是氨基酸D.麦芽糖、蔗糖和半乳糖都是由两个单糖结合形成2.下列关于遗传物质的说法正确的是A.某个体遗传物质的遗传信息在该个体中均被表达B.遗传物质的基本组成单位是脱氧核糖核酸或核糖核酸C.遗传信息的传递过程都遵循中心法则和分离定律D.1个精原细胞产生的精子中遗传物质可能互不相同3.静息时,大多数神经细胞的细胞膜A.对阴离子的通透性比较大,氯离子大量流出膜外B.对阳离子的通透性比较大,钠离子大量流出外C.对钠离子通透性比较小,对钾离子通透性比较大D.对钠离子通透性比较大,对钾离子通透性比较小4.下列有关实例或现象及所对应的推测或解释中,错误的5.有关细胞生命历程的说法不正确的时A.细胞生长,核糖体的数量增加,物质交换效率增强B.细胞分化,核遗传物质没有发生改变,但mRNA有变化C.细胞癌变,细胞膜上的糖蛋白减少,多个基因发生突变D.细胞凋亡,相关基因活动加强,有利于个体的生长发育6.下列遗传系谱图中, Ⅱ6不携带致病基因,甲种遗传病的致病基因用A或a表示,乙种遗传病的致病基因用B或者b表示,分析正确的是A.I2的基因型 aaX B X B或aaX B X bB.II5的基因型为BbX A X A的可能性是1/4C.Ⅳn为患两种遗传病女孩的概率为1/32D.通过遗传咨询可确定Ⅳn是否患有遗传病二、双选题24.下列有关实验的叙述,正确的史A.在DNA粗提取和鉴定实验中,可以用甲基绿代替二苯胺检测B.用斐林试剂检测还原性糖时,可以用葡萄汁代替苹果或梨匀浆C.在观察洋葱根尖细胞有丝分裂时,可用表皮细胞代替根尖细胞D.平板划线法和稀释涂布平板法是微生物接种的常用方法25.有关突变和基因频率的说法正确的是A.突变可以改变核苷酸序列,不能改变基因在染色体上的位置B.经过基因突变后,原有的等位基因关系可能发生改变C.某人群的女性中正常者占99.5%,则色盲基因的频率为0.5%D.自然界种群基因型频率的改变不一定引起基因频率的改变三、非选择题26.(16分)下面是蓝藻细胞的结构模式图,请据图回答(1)该细胞中合成蛋白质的场所是,其所需要的能量直接来自(物质)。
2011深圳第一次模拟考
2011年深圳市高三年级第一次调研考试文科综合2011.3 一、选择题:本大题共11 小题,每小题 4 分,共44 分。
在每小题列出的四个选项中,只有一项是符合题目要求的。
1.图1 为我国二十四节气时地球在公转轨道上的位置示意图,相邻两个节气之间的天数大约为15 天。
深圳昼长时间最接近的两个节气是图1A. 谷雨与立夏B.立冬与立秋C.雨水与处暑D.小满与大暑2. 2010 年8 月,“中国丹霞”被正式列入《世界遗产名录》。
图2 为广东丹霞山地貌景观图。
形成丹霞地貌的主要外力作用是图2A. 流水侵蚀B. 风力侵蚀C. 火山喷发D. 流水堆积3. 关于图3 所示区域地理特征的叙述,错误..的是A. 全年盛行西风,属温带海洋性气候B. 位于板块消亡边界,多火山地震C. 附近海域渔业资源丰富D. 年降水量岛屿东岸比西岸多读世界某区域局部图,完成4〜5题。
4. 1月份,雨水补给较多的河段是A. a河段图4B. b河段C. c河段D. a与c河段5. 图中b河段沿岸集中分布的经济作物及优势因素组合正确的是A. 油菜一一水源B. 小麦一一土壤C. 棉花一一光照D. 甘蔗--- 热量6 .创意产业指运用创造性智慧进行研究、开发、生产、交易的各种行业和环节的总和。
影响创意产业区位选择的最主要因素是A. 信息网络B. 便利交通C. 优惠政策D. 人才和文化7. 图5是深圳市(22.5 ° N, 114°日某楼盘平面图。
在面积、户型、楼层(5层以上)等都相同的情况下从采光、通风、噪声等方面考虑,房价最高的可能是A. A-4B. B-3C. C-2D. D-1表1是贵州省某山区县1961和2008年有关情况的统计资料,据此回答8〜9小题。
8. 从上表数据分析,呈上升趋势的是A. 人均耕地面积B. 人均森林面积C.人均水土流失面积D. 人均粮食产量9. 与1961年相比,该县2008年雨季地表径流量偏大的原因最可能是A.降水量大B. 植被破坏严重C•农业用水量减少 D. 蒸发量增大10. 图7表示1986年〜2010年深圳市劳动用工需求结构的变化,这种变化反映了该市图6 深圳市1986年〜2010年劳动用工需求变化A. 近年第二产业比重上升B. 劳动密集型产业比重逐年提高C. 近年产业升级加快D. 劳动人口平均年龄明显减小11. 下列有关我国21世纪上半叶城市化的推断,错误..的是A. 城市人口越来越多B. 城市化的速度越来越快C. 城市人口比重不断提高D. 城市中从事第三产业的人口比重越来越大二、非选择题:本大题共2小题,满分56分。
深圳中学2011届高三年级第一次阶段考试(文综)
试卷类型:A深圳中学2011届高三年级第一次阶段考试文科综合 2010-10-14本试卷共12页,42小题,满分300分。
考试用时150分钟。
注意事项:1.答卷前,考生务必用黑色字迹的钢笔或签字笔将自己的姓名和考生号、试室号、座位号填写在答题卡上。
用2B铅笔将试卷类型和考生号填涂在答题卡相应位置上。
2.选择题每小题选出答案后,用2B铅笔把答题卡上对应的题目选项的答案信息点涂黑;如需改动,用橡皮擦干净后,再填涂其他答案。
答案不能答在试卷上。
3.非选择题必须用黑色字迹的钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上;如需改动,先划掉原来的答案,然后再写上新的答案,不准使用铅笔和涂改液。
不按以上要求作答的答案无效。
4.考生必须保持答题卡的整洁。
第I卷(选择题共140分)一. 选择题:本大题共35小题,每小题4分,满分140分。
在每小题列出的四个选项中只有一项符合题目要求。
北京时间2010年10月1日l8时59分57秒,“嫦娥二号”卫星在西昌卫星发射中心成功发射。
据此回答1一2题。
1.“嫦娥二号”发射时,纽约(西五区)时间为A. 10月2日7时59分57秒 B.10月1日15时59分57秒C.10月1日5时59分57秒 D. 9月30日5时59分57秒2.“嫦娥二号”发射期间A.地球上无极昼极夜现象B.晨昏线与地轴之间的夹角呈增大的趋势C.太阳直射点位于南半球,并且直射点正在向北移动D.我国长江流域开始出现梅雨天气下图为“某地局部图”,图中X、Y为等高线(等高距为100米),L为河流,对角线为经线。
读图回答3~4题。
3.图中河流L的流向为A.从东流向西 B.从东北流向西南C.从西流向东 D.从两南流向东北4.若X数值为500米,图中A所在地A.海拔小于300米 B.海拔大于600米C.海拔大于 500米 D.海拔小于400米下列四地处于我国几个主要地形区:①塔里木盆地、②秦岭、③珠江三角洲、④长江中下游平原,读图回答5~6题。
2011深圳一模语文答案
CADBCCCD AE B9. 翻译和断句。
(10分)(1)翻译上文中划线的两个句子(6分)①难道不因为这些文章是足以使今人信服并且流传后世吗?(“岂”,“斯编”,“信”,各1分)②(绝没有)用虚假言语来博取读者的欢心(“以”,“取笑”,“天下”,各1分)(2)用“/”给下面的文段没有标点的文字断句。
(4分)答案:良久/忽曰/此间有什么歇不得处/由是如挂勾之鱼/忽得解脱/若人悟此/虽兵阵相接/鼓声如雷霆/进则死敌/退则死法良久,忽曰:“此间有什么歇不得处?”由是如挂勾之鱼,忽得解脱。
若人悟此,虽兵阵相接,鼓声如雷霆,进则死敌,退则死法,(断对2个得1分)10.(1)(4分)“此”字指代前两句语意:读起来感到快意的书容易读完,好友相约却偏偏不来。
(或“书当快意”时,偏偏“读易尽”,而“客有可人”时,偏偏又“期不来”。
)(2分。
如果用原诗句给1分)读书、交友历来是文人士子日常生活中最平常(1分)而最有意义的事情(1分)。
(或者答“典型事例”也给满分)。
(2)(3分)人生美好的事物总是短暂的。
或:人生难得有多少“开怀”的事情。
或:人生不如意者十之八九。
11.(1)士不可以不弘毅仁以为己任(2)直栏横槛多于九土之城郭(3)巴山楚水凄凉地怀旧空吟闻笛赋(4)寻常巷陌人道寄奴曾住14. (4分)(1)所有的批评都缘于对国家和民族无私的热爱以及强烈的责任感和使命感;(第3段) (2)对知识分子的天职的深刻而全面的认识;(第6段)(3)给批评者所需要的正确姿态提供了范例; (第8段)(4)给被批评者以诸多的启示和有益的思考;(第9段)(5) 以实际行动证明了:伟大的批评者,往往也是一个伟大的爱国者;(第10段)(6)对建设公民社会的重大贡献和意义。
(第11段)(4分。
答对一点得2分,答对两点得3分,答对三点得4分)15. (4分)(1)批评是因为热爱。
批评的目的不是否定,而是促使其更加完美;(2)一个伟大的批评者总是试图以自己的批评来使社会获得或大或小的改进;(3)对自己国家的批评不是敌视,而是认同;(4)一个伟大的批评者可以帮助一个国家警惕或规避可能存在的政策失误,也能抵消因为意见过于趋同而导致的独断和冒进;(4分。
2011年深圳市高三一模文科数学试题答案及评分标准(完全word版)
阅读使人充实,会谈使人敏捷,写作使人精确。
——培根2011年深圳市高三年级第一次调研考试数学(文科)答案及评分标准说明:一、本解答给出了一种或几种解法供参考,如果考生的解法与本解答不同,可根据试题的主要考查内容比照评分标准制订相应的评分细则.二、对计算题当考生的解答在某一步出现错误时,如果后续部分的解答未改变该题的内容和难度,可视影响的程度决定给分,但不得超过该部分正确解答应得分数的一半;如果后续部分的解答有较严重的错误,就不再给分.三、解答右端所注分数,表示考生正确做到这一步应得的累加分数.四、只给整数分数,选择题和填空题不给中间分数.5. 数列{}(1)n -是首项与公比均为1-的等比数列.6. ,a OP OQ =+利用平行四边形法则做出向量OP OQ +,再平移即发现. .a FO =7.从振幅、最小正周期的大小入手:b 的振幅最大,故b 为()f x ;a 的最小正周期最大,故a 为(),h x 从而c 为()g x .8. 圆面222:()1C x a y a -+≤-的圆心(,0)a 在平面区域:24x y +<内, 则210(,1)(1,2).204a a a ⎧->⇔∈-∞-⎨+<⎩9. 程序框图的作用是将三个实数按从小到大的顺序排列,若(2,3,1)P ,则(1,2,3)Q .10.画图即知:函数ln y x =的图象与直线y x =-有唯一公共点(,),t t -e ln().x x x x x t =-⇔=-⇔=- 故两个函数的所有次不动点之和()0.m t t =+-= 或利用函数ln y x =的图象与函数e xy =的图象关于直线y x =对称即得出答案.二、填空题:本大题每小题5分;第14、15两小题中选做一题,如果两题都做,以第14题的得分为最后得分),满分20分.11.25. 12.. .(108)2y x -=. 14.4. 15.第13题写或不写100x ≤都可以,写成如2108y x=-等均可. 11. 画出左(侧)视图如图,其面积为 12.每个个体被抽入样的概率均为100110000100=, 在)3000,2500[内的频率为0.0005×(3000-2500)=0.25,频数为10 000×0.25=2 500人,则该范围内应当抽取的人数为2 500×1001=25人. 13. 将各11 ,12,13,14,15对应的函数值分别写成297,296,295,294,293, 分母成等差数列,可知分母11(11)(1)9711108.n a a n n n =+--=-+=-14. 最长线段PQ 即圆22(2)4x y +-=的直径.15.根据射影定理得 222(2)6,12.CB BD BA BD BD BD CD AD BD =⨯⇔=+⇔==⨯=三、解答题:本大题6小题,满分80分.解答须写出文字说明、证明过程和演算步骤.16.(本小题满分14分)已知向量 1 sin 2a α=-(,)与向量4 2cos 52b α=(,)垂直,其中α为第二象限角. (1)求tan α的值;(2)在ABC ∆中,a b c ,,分别为A B ∠∠,,C∠所对的边,若222b c a +-=,求tan A α+()的值.【命题意图】本题主要考查向量的数量积、二倍角公式、同角间三角函数关系、余弦定理、两角和的正切公式等基础知识,以及运算求解能力.解: (1)(1,sin )2a α=-,4(,2cos ),52b α=a b ⊥ 42s i nc o s 0,522a b αα∴⋅=-+=即4sin .5α=……………………3分 α为第二象限角,3sin 4cos ,tan .5cos 3αααα∴==-==- ………………………6分(2) 在ABC ∆中,222,b c a +-=222cos 2b c a A bc +-∴== …………………………………………9分 (0,π)A ∈,π,tan 1,4A A ∴== ……………………11分 tan tan 1tan().1tan tan 7A A A ααα+∴+==-- ……………………14分17.(本小题满分12分)如图,在四棱锥S ABCD -中,AB AD ⊥,//AB CD ,3CD AB =,平面SAD ⊥平面ABCD ,M 是线段AD 上一点,AM AB =,DM DC =,SM AD ⊥.(1)证明:BM ⊥平面SMC ;(2)设三棱锥C SBM -与四棱锥S ABCD -的体积分别为1V 与V ,求1V V的值. 【命题意图】本小题主要考查空间线面关系、几何体的体积等知识,考查数空间想象能力、推理论证能力和运算求解能力.(1) 证明: 平面SAD ⊥平面ABCD ,平面SAD 平面ABCD AD =, SM ⊂平面SAD ,SM AD ⊥SM ∴⊥平面ABCD ,…………………1分BM ⊂平面,ABCD.SM BM ∴⊥ …………………2分四边形ABCD 是直角梯形,AB //CD ,,AM AB =,DM DC =,MAB MDC ∴∆∆都是等腰直角三角形,45,90,.AMB CMF BMC BM CM ∴∠=∠=︒∠=︒⊥………………4分SM ⊂平面SMC ,CM ⊂平面SMC ,SM CM M =,BM ∴⊥平面SMC …………………………………………6分(2) 解: 三棱锥C SBM -与三棱锥S CBM -的体积相等,M SD CB A由( 1 ) 知SM ⊥平面ABCD , 得1113211()32SM BM CM V V SM AB CD AD ⨯⨯=⨯+⨯,……………………………………………9分 设,AB a =由3CD AB =,,AM AB =,DM DC =得3,,,4,CD a BM CM AD a ====从而13.(3)48V V a a a ⨯==+⨯ ……………………………12分18.(本小题满分14分) 已知函数313f x x ax b =-+(),其中实数 a b ,是常数. (1)已知{}0 1 2a ∈,,,{}0 1 2b ∈,,,求事件A “10f ≥()”发生的概率; (2)若f x ()是R 上的奇函数,g a ()是f x ()在区间[]11-,上的最小值,求当1a ≥时g a ()的解析式.【命题意图】本小题主要考查古典概型、函数的奇偶性与零点、导数、解不等式等知识, 考查化归与转化、分类列举等数学思想方法,以及运算求解能力.解:(1) 当{}{}0,1,2,0,1,2a b ∈∈时,等可能发生的基本事件(,)a b 共有9个:(00)(01)(02),(10)(11)(12)(20)(21)(22).,,,,,,,,,,,,,,,,…………………………4分其中事件A “1(1)03f a b =-+≥”,包含6个基本事件: (00)(01)(02)(11)(12)(22).,,,,,,,,,,, …………………………4分 故62()93P A ==.…………………………6分 答:事件“(1)0f ≥”发生的概率23.………………7分 (2) 31(),3f x x a x b =-+是R 上的奇函数,得(0)0,0.f b ==………………8分 ∴31(),3f x x ax =- 2()f x x a '=-, ………………………9分① 当1a ≥时,因为11x -≤≤,所以()0f x '≤,()f x 在区间[]1,1-上单调递减, 从而1()(1)3g a f a ==-;……………………11分 ② 当1a ≤-时,因为11x -≤≤,所以()0f x '>,()f x 在区间[]1,1-上单调递增, 从而1()(1)3g a f a =-=-+. ……………………13分 综上,知1,13().1,13a a g a a a ⎧-≤-⎪⎪=⎨⎪-+≥⎪⎩……………………14分 19.(本题满分12分)如图,有一正方形钢板ABCD 缺损一角(图中的阴影部分),边缘线OC 是以直线AD 为对称轴,以线段AD 的中点O 为顶点的抛物线的一部分.工人师傅要将缺损一角切割下来,使剩余的部分成为一个直角梯形.若正方形的边长为2米,问如何画切割线EF ,可使剩余的直角梯形的面积最大?并求其最大值.【命题意图】本小题主要考查二次函数的切线、最值等知识,考查坐标思想、数形结合、化归与转化等数解法一:以O 可设抛物线弧OC 的方程为∵点C 的坐标为∴221a =,故边缘线OC 的方程为21(02)4y x x =≤≤. ……4分 要使梯形ABEF 的面积最大,则EF 所在的直线必与抛物线弧OC 相切,设切点坐标B CE为21(,)(02)4P t t t <<, ∵12y x '=, ∴直线EF 的的方程可表示为211()42y t t x t -=-,即21124y tx t =-,…………6分 由此可求得21(2,)4E t t -,21(0,)4F t -. ∴2211|||(1)|144AF t t =---=-,2211|||()(1)|144BE t t t t =---=-++,…8分 设梯形ABEF 的面积为()S t ,则[]1()||||||2S t AB AF BE =⋅+2211(1)(1)44t t t =-+-++2122t t =-++ 2155(1)222t =--+≤. ……………………………………………………………10分 ∴当1t =时,5().2S t =, 故()S t 的最大值为2.5. 此时||0.75,|| 1.75AF BE ==.………11分答:当0.75m, 1.75m AF BE ==时,可使剩余的直角梯形的面积最大,其最大值为22.5m . ………………………………………………………………………12分解法二:以A 为原点,直线AD 为y 轴,建立如图所示的直角坐标系,依题意可设抛物线弧OC 的方程为21(02)y ax x =+≤≤∵点C 的坐标为(2,2),∴2212a +=,14a = 故边缘线OC 的方程 为211(02)4y x x =+≤≤. ………4分 要使梯形ABEF 的面积最大,则EF 所在的直线必与抛物线弧OC 相切,设切点坐标为21(,1)(02)4P t t t +<<, ∵12y x '=, ∴直线EF 的的方程可表示为2111()42y t t x t --=-,即211124y tx t =-+,…6分 由此可求得21(2,1)4E t t -+,21(0,1)4F t -+. ∴21||14AF t =-,21||14BE t t =-++,……………7分 设梯形ABEF 的面积为()S t ,则[]1()||||||2S t AB AF BE =⋅+2211(1)(1)44t t t =-+-++2122t t =-++ 2155(1)222t =--+≤. ……………………………………………………………10分 ∴当1t =时,5().2S t =, 故()S t 的最大值为2.5. 此时||0.75,|| 1.75AF BE ==.………11分答:当0.75m, 1.75m AF BE ==时,可使剩余的直角梯形的面积最大,其最大值为22.5m . ………………………………………………………………………12分20.(本题满分14分) 已知椭圆222210x y C a b a b+=>>:()的左焦点F 及点0 A b (,),原点O 到直线FA 的距离. (1)求椭圆C 的离心率e ;(2)若点F 关于直线20l x y +=:的对称点P 在圆224O x y +=:上,求椭圆C 的方程及点P 的坐标.【命题意图】本小题主要考查椭圆的标准方程与简单几何性质、点关于直线对称等知识,考查数形结合、方程等数学思想方法,以及运算求解能力.解:(1)由点(,0)F ae -,点(0,)A b 及b =得直线FA 的方程为1x ae +=-0ey -+=,…………………2分∵原点O到直线FA的距离为2b=2e==………………………………………5分故椭圆C的离心率2e=. …………………………………7分(2) 解法一:设椭圆C的左焦点F(,0)2a-关于直线:20l x y+=的对称点为00(,)P x y,则有1,22220.22x y=⎪⎨⎪⎪⋅+=⎪⎩…………………………………………10分解之,得00,1010x a y a==.P在圆224x y+=上∴22()()41010a a+=,∴22228,(1) 4.a b e a==-=……………………………………13分故椭圆C的方程为22184x y+=,点P的坐标为68(,).55………………………………………14分解法二:因为F(,0)关于直线l的对称点P在圆O上,又直线:20l x y+=经过圆22:4O x y+=的圆心(0,0)O,所以F(,0)2a-也在圆O上, ………9分从而22()04+=,22228,(1) 4.a b e a==-=………………………10分故椭圆C的方程为22184x y+=. ………………………………………11分(2,0)F -与00(,)P x y 关于直线l 的对称,00001,22220.22y x x y ⎧=⎪+⎪∴⎨-⎪⋅+=⎪⎩ …………………………………………12分 解之,得0068,55x y ==.…………………………………………13分 故点P 的坐标为68(,).55………………………………………14分21.(本小题满分14分)设数列{}n a 是公差为d 的等差数列,其前n 项和为n S .(1)已知11a =,2d =,(ⅰ)求当n ∈N *时,64n S n+的最小值; (ⅱ)当n ∈N *时,求证:132********n n n S S S S S S +++++<; (2)是否存在实数1a ,使得对任意正整数n ,关于m 的不等式m a n ≥的最小正整数解为32n -?若存在,则求1a 的取值范围;若不存在,则说明理由.【命题意图】本小题主要考查等差数列通项、求和与不等式等知识,考查化归与转化的数学思想方法,以及抽象概括能力、运算求解能力.(1) (ⅰ) 解: 11,2,a d == 21(1),2n n n d S na n -∴=+=646416,nS n n n +=+≥= 当且仅当64,n n =即8n =时,上式取等号. 故64n S n+的最大值是16.……………………………………………………4分 (ⅱ) 证明: 由(ⅰ)知2n S n =,当n ∈N *时,2222211111(2)4(2)n n n n S S n n n n +⎡⎤++==-⎢⎥++⎣⎦,……6分222222132422311111111114134244(2)n n n S S S S S S n n +⎡⎤+⎛⎫⎛⎫+++=-+-++- ⎪ ⎪⎢⎥+⎝⎭⎝⎭⎣⎦, 2222222111111111412435(1)(2)n n n ⎡⎤⎛⎫=+++-++++ ⎪⎢⎥++⎝⎭⎣⎦ 222211111,412(1)(2)n n ⎡⎤=+--⎢⎥++⎣⎦……………………………………8分 22110,(1)(2)n n +>++ 22132422311115().41216n n n S S S S S S ++∴+++<+<……………………………………9分 (2)对n ∀∈N *,关于m 的不等式1(1)m a a m d n =+-≥的最小正整数解为32n c n =-, 当1n =时,111(1)1a c d a +-=≥;……………………10分当2n ≥时,恒有11(1)(2)n n a c d n a c d n +-≥⎧⎨+-<⎩,即11(31)(3)0(31)(4)0d n a d d n a d -+-≥⎧⎨-+-<⎩, 从而111310(31)2(3)014,1.31033(31)2(4)0d d a d d a d d a d -≥⎧⎪-⨯+-≥⎪⇔=≤<⎨-≤⎪⎪-⨯+-<⎩……………………12分 当114,133d a =≤<时,对n ∀∈N *,且2n ≥时, 当正整数n m c <时, 有1111.33n c m a a n --+<+<……………………13分 所以存在这样的实数1a ,且1a 的取值范围是41,3⎡⎫⎪⎢⎣⎭.……………………14分阅读使人充实,会谈使人敏捷,写作使人精确。
2011年深圳市高三年级第一次调研考试(理科)数学试题
绝密★启用前 试卷类型:A2011年深圳市高三年级第一次调研考试数学(理科) 2011.3本卷共6页,21小题,满分150分. 考试时间120分钟. 参考公式:如果事件A 、B 互斥,那么P(A+B)=P(A)+P(B); 如果事件A 、B 相互独立,那么P(A·B)=P(A)·P(B); 若圆柱的底面积为S ,高为h ,则圆柱的体积为V=Sh ; 若锥体的底面积为S ,高为h ,则锥体的体积为1V =Sh 3. 一、选择题:本大题共8个小题;每小题5分,共40分.在每小题给出的四个选项中,有且只有一项是符合题目要求的.1.已知a ,b ∈R ,若a+bi=(1+i ) ·i 3 (i 为虚数单位),则A.a=-1,b=1B.a=-1,b=-1C. a=1,b=-1D. a=1,b=1 2.已知p :“a 2=”,q :“直线x+y=0与圆x 2+(y -1)2=1相切”,则p 是q 的 A.充分非必要条件要 B.必要非充分条件 C.充要条件 D.既非充分也非必要条件 3.已知S n 为等差数列{a n }的前n 项和,若S 1=1,42S 4S =,则64S S 的值为 A.94 B.32 C.54D. 4 4.如图,圆O :x 2+y 2=2π内的正弦曲线y=sinx 与x 轴围城的 区域记为M(图中阴影部分),随机往圆O 内一个点A ,则 点A 落在区域M 内的概率是 A.24π B.34π C.22π D.32π5.在一条公路上每隔10公里有一个仓库,共有5个仓库,一号仓库存有10吨货物,二号仓库存有20吨货物,五号仓库存有40吨货物,其余两个仓库是空的,现在要把所有的货物集中存放在一个仓库里,若每吨货物运输1公里需要0.5元运输费,则最少需要的运费是A. 450元B. 500元C. 550元D. 600元 6.一个几何体的三视图如图所示, 则该几何体的体积为A. 2B. 1π Oxy-π一号五号三号 二号四号1020 0 040 1侧(左)视图1正(主)视图11 1C.23 D.137.设平面区域D 是由双曲线22y x 14-=的两条渐近线和直线6x -y -8=0所围成三角形的边界及内部,当(x ,y)∈D 时,x 2+y 2+2x 的最大值为A.24B.25C.4D.78.已知函数f(x)的定义域为[-1,5],部分对应值如下表,f(x)的导函数y =f′(x)的图像如图所示.x -1 0 4 5 f(x)1221下列关于函数f(x)的命题 :①函数y =f (x)是周期函数; ②函数y =f (x)在[0,2]是减函数; ③如果当x ∈[-1,t]时,f(x)的最大值是2,那么t 的最大值是4; ④当1<a<2]时,函数y =f (x)-a 有4个零点. 其中真命题的个数有 A.4个 B.3个 C. 2个 D.1个二、 填空题: 本大题共7个小题,每小题5分,满分30分,本大题分必做题和选做题两部分. (一) 必做题:第9、10、11、12、13题为必做题,每道题考生都必作答. 9.已知全集U=R ,集合A 为函数f(x)=ln(x -1) 的定义域,则∁U A=_______. 10.设随机变量X ~N(1,32),且P(X ≤0)= P(X>a -6),则实数a 的值为 ___________.11.在△ABC 中,已知a ,b ,c 分别为∠A ,∠B ,∠C 所对的边,S 为△ABC 的面积,若向量222p (4a b c )=+-,,q (1S)=,,满足p //q ,则∠C=______ .12.已知命题“∃x ∈R ,|x -a|+|x+1|≤2”是 假命题,则实数a 的取值范围是_________. 13.已知a 为如图所示的程序框图中输出 的结果,则二项式61(a x )x-的展开 式中含x 2项的系数是__________.(二) 选做题: (第14、15题为选做题,考生只能选做一题,两题全答的,只计算前一题的得分)14.(坐标系与参数方程)在极坐标系中,设P 是直线l :ρ(cos θ+sin θ)=4上任一点,Q 是圆C:ρ2=4ρcos θ-3 上任一点,则|PQ|的最小值是___________.15.(几何证明选讲) 如图,割线PBC 经过圆心O , OB=PB=1,OB 绕点O 逆时针旋转1200到OD ,连PD 交圆与点E ,则PE=_________.O24 5 xy-1 开始结束输出aa=2,i=1i<2011i=i+1是否1a 1a=-OBCPED二、 解答题: 本大题共6个小题,满分80分,解答须写出文字说明、证明过程和演算步骤. 16.(本小题满分12分) 已知函数x x f(x)23sin()cos()sin(x )2424ππ=++-+π. (1)求f(x)的最小正周期; (2)若将f(x)的图象向右平移6π个单位,得到函数g(x)的图象,求函数g(x)在区间[0,π]上的最大值和最小值.17.(本小题满分12分)第26届世界大学生夏季运动会将于2011年8月12日至23日在深圳举行,为了搞好接待工作,组委会在某学院招募了12名男志愿者和18名女志愿者,调查发现,这30名志愿者的身高如下:(单位:cm) 男 女9 15 7 7 8 9 9 9 8 16 1 2 4 5 8 9 8 6 5 0 17 2 3 4 5 6 7 4 2 1 18 0 1 1 19若身高在175cm 以上(包括175cm)定义为“高个子”,身高在175cm 以下定义为“非高个子”,且只有“女高个子”才能担任“礼仪小姐”.(1)如果用分层抽样的方法从“高个子”和“非高个子”中抽取5人,再从这5人中选2人,则至少有一人是“高个子”的概率是多少?(2)若从所有“高个子”中选3名志愿者,用ξ表示所选志愿者中能担任“礼仪小姐”的人数,试写出ξ的分布列,并求ξ的数学期望.18.(本小题满分14分)如图,AC 是圆O 的直径,点B 在圆O 上,∠BAC=300,BM ⊥AC 交AC 于点 M ,EA ⊥平面ABC ,FA ∥EA ,AC=4,EA=3,FC=1. (1)证明:EM ⊥BF ;(2)求平面BEF 与平面ABC 所成的锐二面角的余弦值.ABCEF M O19.(本小题满分14分)已知点F 是椭圆222x y 11a+=+ (a>0)的右焦点,点M(m ,0)、N(0,n)分别是x=轴、y 轴上的动点,且满足MN NF 0⋅=.若点P 满足OM 2ON PO =+.(1)求点P 的轨迹C 的方程;(2)设过点F 任作一直线与点P 的轨迹交于A 、B 两点,直线OA 、OB 与直线x=-a 分别交于点S 、T(0为坐标原点),试判断FS FT ⋅是否为定值?若是,求出这个定值;若不是,请说明理由.20.(本小题满分14分)已知数列{a n }是各项均不为0的等差数列,公差为d ,S n 为其前n 项和,且满足a n 2=S 2n -1,n ∈N*. 数列{b n }满足n n n+11b a a =⋅,T n 为数列{b n }的前n 项和.(1)求a 1、d 和T n ;(2)若对任意的n ∈N*,不等式λT n <n+8(-1)n 恒成立,求实数λ的取值范围;(3)是否存在正整数m ,n (1<m<n),使得T 1,T m ,T n 成等比数列?若存在,求出所有m ,n 的值;若不存在,请说明理由.21.(本小题满分14分) 已知函数af(x)=lnx +x +1(a ∈R). (1)当a=4.5时,如果函数g(x)=f(x)-k 仅有一个零点,求实数k 的取值范围; (2)当a=2时,试比较f(x)与1的大小; (3)求证:1111ln(n +1)>...3572n 1+++++ (n ∈N*).2011年深圳市高三年级第一次调研考试数学(理科)答案及评分标准说明:一、本解答给出了一种或几种解法供参考,如果考生的解法与本解答不同,可根据试题的主要考查内容比照评分标准制订相应的评分细则.二、对计算题当考生的解答在某一步出现错误时,如果后续部分的解答未改变该题的内容和难度,可视影响的程度决定给分,但不得超过该部分正确解答应得分数的一半;如果后续部分的解答有较严重的错误,就不再给分.三、解答右端所注分数,表示考生正确做到这一步应得的累加分数. 四、只给整数分数,选择题和填空题不给中间分数. 一、选择题:本大题每小题5分,满分40分. 题号 1 2 3 4 5 6 7 8 答案CAABBCAD二、填空题:本大题每小题5分,满分30分. 9.(-∞,1]; 10.8; 11.4π; 12.(-∞,-3)∪(1,+∞); 13.-192; 14.21-; 15. 773. 三、解答题: 16.解:(1) f(x)3sin(x )sin x 2π=++3cos x sin x =+, ……2分132(sin x +cos x)22=2sin(x +)3π=. ……4分所以f(x)的最小正周期为2π. ……6分(2) 将f(x)的图象向右平移6π个单位,得到函数g(x)的图象, ∴g(x)=f(x )2sin[(x )]663πππ-=-+2sin(x +)6π=, ……8分∵x ∈[0,π] 时,x +[]666ππ7π∈,, ……9分 ∴x +62ππ=,即 x 3π=时,sin(x +)16π=,g(x)取得最大值2.……10分 当7x +66ππ=,即x=π时,1sin(x +)62π=-, g(x)取得最小值-1. ……12分【说明】 本小题主要考查了三角函数中诱导公式、两角和与差的正余弦公式、二倍角公式、三角函数的性质和图象,以及图象变换等基础知识,考查了化归思想和数形结合思想,考查了运算能力. 17.解:(1)根据茎叶图,有“高个子”12人,“非高个子”18人, ……1分用分层抽样的方法,每个人被抽中的概率是51306=, ……2分所以选中的“高个子”有11226⨯=人,“非高个子”有11836⨯=人. ……3分用事件A 表示“至少有一名“高个子”被选中”,则它的对立事件A 表示“没有一名“高个子”被选中”,则2325C 7P A)1C 10=-=(. ……5分因此,至少有一人是“高个子”的概率是11226⨯=. ……6分(2)依题意,ξ的取值为0,1,2,3. ……7分38312C 14P(=0)==C 55ξ,1248312C C 28P(=1)==C 55ξ,2148312C C 12P(=2)==C 55ξ, 34312C 1P(=3)==C 55ξ. ……9分因此,ξ的分布列如下:ξ 0123P1455 2855 1255 155……10分∴1428121E =0123155555555ξ⨯+⨯+⨯+⨯=. ……12分【说明】本题主要考察茎叶图、分层抽样、随机事件的概率、对立事件的概率、随机变量的分布列以及数学期望等基础知识,考查运用概率统计知识解决简单实际问题的能力,数据处理能力和应用意识. 18.解:(法一)(1)∵EA ⊥平面ABC ,BM ⊂平面ABC ,∴EA ⊥BM.……1分又∵BM ⊥AC ,EA∩AC =A ,∴BM ⊥平面ACFE ,而EM ⊂平面ACFE ,∴BM ⊥EM. ……3分 ∵AC 是圆O 的直径,∴∠ABC=900. 又∵∠BAC=300,AC=4, ∴AB=23,BC=2,AM=3,CM=1.∵EA ⊥平面ABC ,FA ∥EA ,FC=1,∴FC ⊥平面ABCD. ∴△EAM 与△FCM 都是等腰直角三角形. ∴∠EMA=∠FMC =400. ∴∠EMF=900,即EM ⊥MF(也可由勾股定理证得). ……5分∵MF∩BM=M ,∴EM ⊥平面MBF. 而BF ⊂平面MBF ,∴EM ⊥BF.……6分AB CE F M O(2)延长EF 交AC 于G ,连BG ,过C 作CH ⊥BG ,连结FH. 由(1)知DC ⊥平面ABC ,BG ⊂平面ABC , ∴FC ⊥BG . 而FC ∩CH=C ,∴ BG ⊥平面FCH. ∵FH ⊂平面FCH ,∴FH ⊥BG ,∴∠FHC 为平面BEF 与平面ABC 所成的 二面角的平面角. ……8分 在Rt △ABC 中,∵∠BAC=300,AC=4, ∴BM=ABsin300=3.由FC:EA=GC:GA=1:3,得GC=2.∵22BG=BM +MG 23=. 又∵△GCH ∽△GBM ,∴GC:BG=CH:BM ,则GC BM 23CH=1BG 23⋅⨯==. ……11分∴△FCH 是等腰直角三角形,∠FCH=450.∴平面BEF 与平面ABC 所成的锐二面角的余弦值为22. ……12分 (法二)(1)同法一,得AM=3,BM 3=. ……3分如图,以A 为坐标原点,垂直于AC 、AC 、AE 所在的直线为x ,y ,z 轴建立空间直角坐标系.由已知条件得A(0,0,0),M(0,3,0),E(0,0,3),B(3,3,0),F(0,4,1), ∴ME =(033)-,,,BF =(311)-,,. ……4分由ME BF =(033)(311)=0⋅--,,,,,得ME BF ⊥,∴EM ⊥BF. ……6分 (2)由(1)知BE =(333)--,,,BF =(311)-,,.设平面BEF 的法向量为n =(x y z),,,由n BE 0n BF 0⋅=⋅=,,得333z=03z=0⎧--⎪⎨-+⎪⎩x y+x y+, 令x 3=得y=1,z=2,∴n =(312),,, ……9分HGABC E F M O ABC EFMO x y zABC EFMO xy z由已知EA ⊥平面ABC ,所以取面ABC 的法向量为AE =(003),,, 设平面BEF 与平面ABC 所成的锐二面角为θ, 则3010232cos |cos n AE |=2322⨯+⨯⨯θ=<>=⨯+,, ……11分 ∴平面BEF 与平面ABC 所成的锐二面角的余弦值为22. ……12分 【说明】本题主要考察空间点、线、面位置关系,二面角等基础知识,考查应用向量知识解决数学问题的能力,考查空间想象能力、运算能力和推理论证能力.19.解:(1)∵椭圆222x y 11a+=+ (a>0)右焦点F 的坐标为(a ,0),……1分 ∴NF =(a n)-,,∵MN =(m n)-,,∴由MN NF 0⋅=,得n 2+am=0. ……3分 设点P 的坐标为(x ,y),由OM 2ON PO =+,有(m ,0)=2(0,n)+(-x ,-y),m =xy n =2-⎧⎪⎨⎪⎩代入n 2+am=0,得y 2=4ax.……5分(2)(法一)设直线AB 的方程为x=ty+a ,211y A(y )4a ,、222y B(y )4a,,则l OA : 14a y x y =,l OB : 24ay x y =. ……6分 由14a y x y x a⎧=⎪⎨⎪=-⎩,得214a S(a )y --,, 同理得224a T(a )y --,. ……8分∴214a FS=(2a )y --,,224a FT=(2a )y --,,则224212124a 4a 16a FS FT=(2a )(2a )4a y y y y ⋅----=+,,. ……9分由2x =ty a y =4ax+⎧⎨⎩,得y 2-4aty -4a 2=0,∴y 1y 2=-4a 2. ……11分 则4222216a FS FT=4a 4a 4a 04a⋅+=-=-. ……13分 因此,FS FT ⋅的值是定值,且定值为0. ……14分 (法二)①当AB ⊥x 时,A(a ,2a),B(a ,-2a),则l OA : y=2x , l OB : y=-2x. 由y =2xx =a⎧⎨-⎩得点S 的坐标为S(-a ,-2a),则FS=(2a 2a)--,.由y =2x x =a -⎧⎨-⎩得点T 的坐标为T(-a ,2a),则FT=(2a 2a)-,.∴22FS FT=(2a 2a)(2a 2a)4a 4a 0⋅---=-=,,. ……7分 ②当AB 不垂直x 轴时,设直线AB 的方程为y=k(x -a)(k≠0),211y A(y )4a ,、222y B(y )4a ,,同解法一,得421216a FS FT=4a y y ⋅+. ……10分 由2y =k(x a)y =4ax-⎧⎨⎩,得ky 2-4ay -4ka 2=0,∴y 1y 2=-4a 2. ……11分则4222216a FS FT=4a 4a 4a 04a⋅+=-=-. ……13分 因此,FS FT ⋅的值是定值,且定值为0. ……14分【说明】本题主要考查椭圆的方程与性质、向量、直线与抛物线的位置关系等基础知识,考查学生运算能力、推理论证以及分析问题、解决问题的能力,考查数形结合思想、分类讨论思想、化归与转化思想. 20.解:(1)(法一)在a n 2=S 2n -1,中,令n=1,n=2,得211223a =S a =S ⎧⎪⎨⎪⎩,即211211a =a (a +d)=3a +3d ⎧⎪⎨⎪⎩, ……2分 解得a 1=1,d=2, ∴a n =2n -1. ……3分 ∵n n n+111111b ()a a (2n 1)(2n 1)22n 12n 1===-⋅-+-+,∴n 11111111n T [(1)()()...()]2335572n 12n 12n 1=-+-+-++-=-++.……5分(法二)∵{a n }是等差数列,∴n 2n 1n a a a 2-+=, ∴n 2n 12n 1n a a S (2n 1)(2n 1)a 2--+=-=-. ……2分 由a n 2=S 2n -1,得a n 2=(2n -1) a n ,又∵a n ≠0,∴a n =2n -1,则a 1=1,d=2. ……3分 (T n 求法同法一)(2)①当n 为偶数时,要使不等式λT n <n+8(-1)n 恒成立,即需不等式(n +8)(2n +1)8λ<=2n +17n n +恒成立. ……6分∵82n +8n ≥,等号在n=2时取得.∴此时λ 需满足λ<25. ……7分 ②当n 为奇数时,要使不等式λT n <n+8(-1)n 恒成立,即需不等式(n 8)(2n +1)8λ<=2n 15n n ---恒成立. ……8分∵82n n -是随n 的增大而增大, ∴n=1时82n n -取得最小值-6.∵此时λ 需满足λ<-21. ……9分综合①、②可得λ的取值范围是λ<-21. ……10分(3) 11T 3=,m m T 2m +1=,n n T 2n +1=, 若T 1,T m ,T n 成等比数列,则2m 1n()()2m +132n +1=, 即22m n4m +4m +16n +3=. ……11分 (法一)由22m n 4m +4m +16n +3=,可得2232m +4m +10n m -=>, 即-2m 2+4m+1>0, ……12分 ∴661m 122-<<+. ……13分 又m ∈N ,且m>1,所以m=2,此时n=12.因此,当且仅当m=2, n=12时,数列{T n }中的T 1,T m ,T n 成等比数列. ……14分(法二)因为n 1136n +366n=<+,故22m 14m +4m +16<,即2m 2-4m -1<0, ∴661m 122-<<+.(以下同上). ……13分 【说明】考查了等差数列、等比数列的概念及其性质,以及数列的求和、利用均值不等式求最值等知识;考查了学生的函数思想方法,及其推理论证和探究的能力.21.解:(1)当a=4.5时,9f(x)=lnx +2(x +1),定义域是(0,+∞), 2219(2x 1)(x 2)f (x)=x 2(x +1)2x(x +1)--'-=, 令f′(x)=0,得x=0.5或x=2. ……2分∵当0<x<0.5或x>2时,f′(x)>0,当0.5<x<2时,f′(x)<0,∴函数f(x)在(0,0.5)、(2,+∞)上单调递增,在(0.5,2)上单调递减.……4分∴函数f(x)的极大值是f(0.5)=3-ln2,极小值是f(2)=1.5+ln2.∵当x→+0时,f(x)→-∞; 当x→+∞时,f(x)→+∞,∴当g(x)仅有一个零点时,k 的取值范围是k>3-ln2或k<1.5+ln2.……5分(2)当a=2时,2f(x)=lnx +x +1,定义域为(0,+∞), 令2h(x)=f(x)1=lnx +1x +1--, ∵22212x 1h (x)=0x (x +1)x(x +1)+'-=>, ∴h(x)在(0,+∞)上是增函数. ……7分①当x>1时,h(x)>h(1)=0,即f(x)>1;②当0<x<1时,h(x)<h(1)=0,即f(x)<1;③当x=1时,h(x)=h(1)=0,即f(x)=1. ……9分(3)(法一)根据(2)的结论,当x>1时,2lnx +1x +1>,即x 1lnx >x +1-. 令k +1x =k ,则有k +11ln k 2k +1>, ∴n n k=1k=1k +11ln ln k 2k +1>∑∑. ……12分 ∵n k=1k +1ln(n 1)lnk+=∑,∴1111ln(n 1)...3572n 1+>+++++. ……14分(法二)当n=1时,ln(n+1)=ln2.∵3ln2=ln8>1,∴2lnx +1x +1>,∴1lnx23>,即n=1时命题成立. ……10分设当n=k 时,命题成立,即1111ln(k 1)...3572n 1+>+++++. ∴n=k+1时, k +21111k +2ln(n 1)ln(k 2)ln(k 1)ln...ln k +13572n 1k +1+=+=++>++++++. 根据(2)的结论,当x>1时,2lnx +1x +1>,即x 1lnx >x +1-. 令k +2x =k +1,则有k +21ln k +12k +3>, 则有11111ln(k 2)...3572n 12n 3+>+++++++,即n=k+1时命题也成立. ……13分因此,由数学归纳法可知不等式成立. ……14分(法三)如图,根据定积分的定义, 得n 1111111...1dx 572n 12x 1⨯+⨯++⨯<++⎰. ……11分∵nn 11111dx d(2x 1)2x 122x 1=+++⎰⎰ n 111[ln(2x 1)|[ln(2n 1)ln 3]22=+=+-, ∴11111111...(...)3572n 13572n 1++++=++++++n 11111dx [ln(2n 1)ln 3]32x 132<+=++-+⎰. ……12分 ∵11[ln(2n 1)ln 3]ln(n 1)32++--+ 223ln 31[ln(2n 1)ln(n 2n 1]62-=++-++, 又∵2<3<3ln3,ln(2n+1)<ln(n 2+2n+1),∴11[ln(2n 1)ln 3]ln(n 1)32++-<+. ∴1111...ln(n 1)3572n 1++++<++. ……14分 【说明】本题主要考查函数导数运算法则、利用导数求函数的极值、证明不等式等基础知识,考查分类讨论思想和数形结合思想,考查考生的计算能力及分析问题、解决问题的能力和创新意识.薄雾浓云愁永昼, 瑞脑消金兽。
[最新]2011届广东省深圳市一模文综合试题
绝密★启用前试卷类型:A 2011年深圳市高三年级第一次调研测试文科综合2010.3编辑:龙辉本试卷共12页,41小题,满分300分。
测试用时150分钟。
注意事项:1.答卷前,考生首先检查答题卡是否整洁无缺损,监考教师分发的考生信息条形码是否正确;之后务必用0.5毫米黑色字迹的签字笔在答题卡指定位置填写自己的学校、姓名和考生号。
同时,将监考教师发放的条形码正向准确粘贴在答题卡的贴条形码区。
请保持条形码整洁、不污损。
2.选择题每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案。
答案不能答在试卷上。
不按要求填涂的,答案无效。
3.非选择题必须用0.5毫米黑色字迹的签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上。
请注意每题答题空间,预先合理安排。
如需改动,先划掉原来的答案,然后再写上新的答案。
不准使用铅笔和涂改液。
不按以上要求作答的答案无效。
4.考生必须保持答题卡的整洁。
测试结束后,将答题卡交回。
一、单项选择题(每小题4分,满分140分。
在每小题给出的四个选项中,只有一个选项最符合题目要求。
)1.图1为我国二十四节气时地球在公转轨道上的位置示意图,相邻两个节气之间的天数大约为15天。
深圳的昼长时间最接近的两个节气是图1A.谷雨和立夏B.立冬和立秋C.雨水和处暑D.小满和大暑2.2010年8月,“中国丹霞”被正式列入《世界遗产名录》。
图2为广东丹霞山地貌景观图。
形成丹霞地貌的主要外力作用是A.流水侵蚀B.风力侵蚀C.火山喷发D.流水堆积3.关于图3所示区域地理特征的叙述,错误..的是A.全年盛行西风,属温带海洋性气候图2B.位于板块消亡边界,多火山地震C.附近海域渔业资源丰富D.年降水量岛屿东岸比西岸多读世界某区域局部图,完成4~5题。
4.1月份,雨水补给较多的河段是A.a河段B.b河段图3C.c河段D.a和c河段5.图中b河段沿岸集中分布的经济作物及优势因素组合正确的是A.油菜—水源B.小麦—土壤图4C.棉花—光照D.甘蔗—热量6.创意产业指运用创造性智慧进行研究、开发、生产、交易的各种行业和环节的总和。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
广东省深圳市2011届高三第一次调研考试本试卷分选择题和非选择题两部分。
满分135分,考试用时120分钟。
注意事项:1.答卷前,考生首先检查答题卡是否整洁无缺损,监考教师分发的考生信息条形码是否正确;之后务必用0.5毫米黑色字迹的签字笔在答题卡指定位置填写自己的学校、姓名和考生号,同时,将监考教师发放的条形码正向粘贴在答题卡的贴条形码区,请保持条形码整洁,不污损。
2.选择题每小题选出答案后,用2B铅笔把答题卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其他答案,答案不能答在试卷上。
3.非选择题必须用黑色字迹的钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上;如需改动,先划掉原来的答案,然后再写上新的答案;请注意每题答题空间,预先合理安排;不准使用铅笔和涂改液。
不按以上要求作答的答案无效。
4.考生必须保持答题卡的整洁,考试结束后,将答题卡交回。
I.语言知识及应用(共两节,满分45分)第一节完形填空(共15小题;每小题2分,满分30分)阅读下面短文,掌握其大意,然后从1~15各题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。
Where did all the tigers go? That’s what Indian Prime Minister Manmohan Singh wants to know. India’s Sariska Project Tiger Reserve, once home to 26 tigers, is now home to none. Singh has ordered a police investigation into the ___1___,and created a new taskforce to save the ___2___ animals.Tigers are an endangered species(物种).Half of the world’s tiger ___3___ live in India. For years, tigers have been disappearing from India’s national parks, but Sariska may be the last straw. And the government has to ___4___On Thursday, Singh held the first meeting of ___5___ officials, wildlife experts, and related leaders, aiming to ___6___ the nation’s remaining tigers, and to 7 a plan to keep them safe.It is not hard to guess why the tigers are disappearing. Poachers (偷猎者) can 8 the big cats for $ 50,000 each. Tigher skin and bones are popular in Chinese 9 . A single tiger tooth can fetch $ 120. Recently, a group of poachers admitted killing ten tigers in Sariska and were 10 .“Indian tiger poaching is pro bably the 11 conservation problem in modern times.” said Belinda Wright, the bead of the Wildlife Protection Society of India.However, poaching isn’t the only 12 . Many poachers use advanced technologies, like night glassed and long –range binoculars. Forest security officers are paid so 13 that few of them 14 to track down the preachers. Even if a security guard were to find a poacher, many carry only a stick to make him obey the law.Tiger fans hope that Singh’s plans mean end for the poac hers and 15 for the endangered species.1.A.project B.disappearance C.reserve D.home2.A.dangerous B.huge C.rare D.fierce3.A.population B.percentage C.generation D.group4.A.care B.plan C.react D.wake5.A.business B.trade C.army D.forest6.A.ensure B.count C.keep D.feed7.A.come up with B.put up with C.catch up with D.go on with8.A.raise B.hunt C.sell D.shoot9.A.food B.tradition C.culture D.medicine10.A.found B.arrested C.prohibited D.controlled11.A.oldest B.hottest C.biggest D.latest12.A.problem B.worry C.crime D.factor 13.A.commonly B.poorly C.slightly D.highly 14.A.determine B.remember C.hesitate D.bother15.A.success B.lamp C.hope D.achievement第二节语法填空(共10小题;每小题1.5分,满分15分)阅读下面短文,按照句子结构的语法性和上下文连贯的要求,在空格处填入一个适当的词或使用括号中词语的正确形式填空,并将答案填写在答题卡标号为16~25的相应位置上。
Several times each year the Queen gives afternoon tea parties. But she simply sits beside a big silver plate, pouring cups of tea for everyone and 16 (skill) avoiding the cakes and sandwiches.At cocktail parities the Queen moves from group to group, chatting informally, and manages to make one glass of drink last 17 entire evening.Tours abroad are difficult because hosts seem to have a 18 (believe) that the warmth of their welcome must be shown with wonderful state banquets (宴会). But the Queen has perfected the art of appearing to enjoy her meal without actually eating much.During one visit 19 the Pacific islands of Tonga, a specially – prepared dinner was arranged in her honor. The Queen looked uneasily at her plate 20 she discovered a whole roast pig was her serving.Then a turkey, some meat, an apple and bananas 21 (carry) in for each guest. But she depended 22 her old favorite trick of talking with her host, King Tupou IV, and carrying on a warm conversation.Sometimes the Queen will seem so carried away by foreign leader’s political chat 23 she simply never has time to finish a meal before it is time to get up and make her speech. She will lift her fork to swallow a mouthful, and then put 24 down again to make another point, leaving almost all of her meal 25 (touch).II 阅读(共两节,满分50分)第一节阅读理解(共20小题;每小题2分,满分40分)阅读下列短文,从每题所给的A、B、C和D项中,选出最佳选项,并在答题卡上将该项涂黑。
AWhether it’s a carol (圣诞颂歌) service or an evening of karaoke down the pub many people will enjoy a good old singsong this Christmas. Singing aloud will not just lift the spirits –it’s good for your physical health as well. Filling the lungs with air, increasing the heart rate and getting blood pumping round the body faster can all help our physical health.For the past few years Heart Research UK has been running a Christmas campaign aimed at getting people singing, simply for the benefit it can bring. The organizer of the campaign says singing is a safe, simple and social acti vity that everyone can enjoy. “Singing is linked to long life, stress reduction, and general health protection. It also brings a great amount of happiness. It is impossible to sing well with a long face because it affects your pitch (音高).”Professor Graham Welch, who leads the International Music Education Research Centre at the University of London, has spent more than 30 years studying the effects of singing. He says that singing is a form of exercise. It means we’re also having a strong aerobe activi ty (有氧运动) when we’re singing, which results in increasing the feeling of pleasure while decreasing that of stress.“And communal singing – like in a singing group, a church service or even a singsong in the pub, helps improve our sense of self – respect. It increases our sense of satisfaction with ourselves, a greater sense of feeling included.”Helen Astrid, a singing teacher, also sees the great effects that singing brings. “It lifts us up on a spiritual level, it helps our self –respect, and it’s gr eat for all ages from small kids to grannies you can have a good sing and let your hair down.”But she warns people not to have too many beers or glasses of wine, though a glass may help them gather courage before taking to the stage during the holidays.26.Heart Research UK holds a campaign to .A.encourage people to sing for God at ChristmasB.study the effects of singing on peopleC.get people to sing and improve their healthD.bring happiness to people celebrating the holiday27.What are the benefits of singing according to Graham Welch?a.Singers living longer. b.Singers general health protection.c.Singers feeling happier. d.Singers stress reduced.e.Singers self-respect improved.A.a,b,c B.b,c,d C.c,d,e D.e,a,b,28.The underlined part “let your hair down” probably means.A.feel at ease B.protect yourselfC.dress casually D.cover your nervousness29.What can we infer from the passage?A.Singing at Christmas is good for health.B.In a low mood one is not able to sing well.C.Experts have disagreements on singing.D.Singing is the same as other aerobic activities.30.Which is the best title of the passage?A.Karaoke-Best Place for Singing!B.Christmas-Best Time for Singing!C.Singing-Healthy but not Easy!D.For heath-Let’s Sing!BThe good news is that James Cameron’s Avatar, his fi rst big film since Titanic, 12 years ago, is a good film. The bad news-at least for Cameron is that his film is not the masterpiece he set out to make. Nobody spends so much money(more than £214 million) or spends so much time(the project started in 1995) to make just a good film. No, Cameron has intended to make a classic science-fiction epic(史诗)that will take its place along with Star Wars. The Matrix or his ownTerminator films. But, amazingly enough, Avatar is so beautiful that it’s almost too rich to t ake in and appreciate on one viewing. It’s not afraid of social and political comments, educating us in the evils(丑恶)of capitalism while entertaining us with the evils of capitalism.The curious thing about Avatar is that, for all of its advanced technological work, there is something out of date. The idea of humans using other bodies to travel in other worlds was an exciting concept for novelists and film-makers back in the 1990s. “Second Life” can be easily found in films of that decade. Avatar’s poli tical idea also seems out of date. humans destroy things for short-sighted profits, and this has been going on all the time throughout the human history, hasn’t it?Undoubtedly, Cameron unbelievably succeeds in creating an extremely, beautiful world that n obody has ever seen. But this wonderful shell of beauty can’t make up Avatar’s lack of heart. In the past, Cameron could always mix big scenes with strong feelings. What’s missing here is the heart-breaking moment. The love story between Jake and Neytiri d oesn’t take off the way. Jack and Rose did in Titanic.However, despite all these, we will be left with a film that’s no masterpiece, but still well worth seeing.31.Considering the money and time spent on it, Avatar .A.is far from really a good film B.invites a lot of bad reviewC.costs too much than it deserves D.needs more investment32.The following films are made by Cameron EXCEPT .A.Avatar B.The Matrix C.Terminator D.Titanic33.What’s the disadvantage of Avatar according to the passage?A.It entertains people without educating them.B.It doesn’t expose evils of capitalism.C.It lacks heart-breaking moment.D.It creates a world that doesn’t exist at all.34.According to the article, the author thinks that .A.Avatar is still the best of Cameron’s worksB.Avatar is fearless when expressing its ideasC.good films should have big beautiful scenesD.Avatar provides new ideas about love and life35.What does the writer think of the film Avatar?A.It’s a masterpiece the has seen since Titanic.B.It’s a classic science-fiction epic like Star Wars.C.It’s a wonderful film with strong feeling.D.It’s a good science-fiction film worth seeing.CSeveral hundred strangers received “love letters” from a young man on the street. The letter was written and given out by Yang Yang, a student majoring in human resources at Chongqing University of Science and Technology, who hoped to show his disappointment with job hunting.Yang's story has captured media attention perhaps because it is similar to those of millions of recent graduates, who are seeking jobs and eking out meager livings in the country's wealthiest cities. They have diplomas rather than professional skills and scramble to metropolises in hopes of better lives only to find low-paying jobs and miserable living conditions.They are China's "ant tribe"(蚁族), a term coined by sociologist Lian Si in his 2009 book, Ant Tribe, “Ther’re so similar to ants. They share small and narrow living areas. They’re intelligent and hardworking, yet anonymous and under paid.” The term, sociologists have said, also speaks to their helplessness in a world governed by the law of the concrete jungle - only the strongest survive.A survey in Lian’s another book published this year, Ant Treibe II, found nearly 30 percent o f “ants” are graduates of famous universities-almost three times last year’s percentage. Most had degrees in popular majors. In addition, 7.2 percent of “ants” have at least a master’s degree compared to 1.6 percent in 2009.An “ant's” average monthly salary is 1,904 yuan ($286), with about 64 percent of them earning fewer than 2,000 yuan a month.Another survey in the 2010 Annual Report on the Development of Chinese Talent, released by the Social Sciences Academic Press in June, found more than 1 m illion “ants” live in big cities.“Most ants' are from rural(农村)families or small towns, and their experiences in ordinary universities didn't arm them well enough to fight with competitors in big cities' employment markets,” professor at Renmin University of China Zhang Ming said.The “ant tribe’s” embarrassing living situations have become a serious social problem, and the government should develop smaller cities to attract more graduated form big cities. Zhang believed.However, “ants’ expect more study and training opportunities in big cities, which keeps them in positive mindsets despite their situations.36.Yang’s story is introduced in other to.A.analyze graduates’ difficulties in finding jobsB.lead to the topic of the article-“ant tribe”C.tell readers a story about those big citiesD.show a clever way of dealing with pressure37.The “ants” fait to find high-paying jobs mainly because .A.they have no diplomas from good universitiesB.their majors do not meet the needs of societyC.those from rural areas are not treated equallyD.they do not have necessary professional skills38.“Ant tribe” members are similar to ants in the following aspects EXCEPT that.A.they live in narrow and small places in groupsB.they work hard but earn little for survivalC.they are in a world judged by the jungle lawD.they are pleased with being nameless and underpaid39.Professor Zhang thought “ants” problems could be solved by.A.creating more jobs for graduates in big citiesB.developing smaller cities to attract graduatesC.sending graduates to rural areas and small townsD.training graduates to improve their ability40.By writing this article, the author mainly intends to show .A.despite better education, “ants” are s till strugglingB.despite difficulties, “ants” have promising futureC.better education, better job opportunitiesD.Ant Tribe is a good book to help understand today’s ChinaDAs the forceful king of Macedonia(马其顿), Alexander the Great overthrew the Persian Empire, becoming a hero that would survive centuries after his death.Born in 356 B.C., Alexander III was the son of Philip II and Olympias.Alexander’s parents wanted him to receive the finest education, and arranged for him to study under Aristetle, regarded as one of the greatest scholars.Alexander’s father was a strong leader.Philip II built an impressive army and established the Macedonian kingdom; he was even planning to attack Persia shortly before his death.In 336, Philip was murdered by one of his guards.Although it was obvious that the guard had a personal hatred, there are clues that other people were related to it.Afler Alexander was cleared as a suspect, he succeeded his father without opposition, and killed those said to be responsible for his fathers murder, as well as all rivals, He was then just 20 years old.He then prepared to attack Persia.In the spring of 334, Alexander led the army made up of nearly 50,000 soldiers into Asia, which is ca lled “the most powerful military expedition(远征)ever to leave Greece”, He soundly defeated the Persian army at the Granicus River, sending a strong message to Darius III, leader of the Persian Empire.In 333, Alexander faced Darius at Issus, a mountain pass.The Macedonian army was greatly outnumbered but able to work the narrow mountain passageway to their advantage.Darius managed to escape.Continuing down the Mediterranean Coast, Alexander took every city in his path.In 332 Alexander declared Egypt to be part of the Greek Empire and was crowned Pharaoh(法老).When Alexander left Egypt in 331, he defeated the Persians again and was crowned leader of Asia.In 323, however, Alexander developed a fever on the way back home and died 10 days later at Babylon.He was just 33 years old.41.The underlined word “succeeded” is the closest in meaning to.A.followed B.supported C.continued D.replaced42.What can we know about Philip’s death?A.He was killed by someone intending to take power from him.B.Alexander sent someone who hated Philip to kill him.C.His death was related to his plan of fighting Persia.D.The murder might be organized by a group of people.43.The Macedonian army could defeat the Persians at Issus mainly because .A.Darius didn’t command his army in the battlefieldB.Macdonian soldiers were more than the Persian soldiersC.Macedonian soldiers could fight better at the mountain passD.Mecedonia was more powerful than the Persian Empire44.In which order did Alexander do the following things?a.Totally overthrew the Persian Empire.b.Defeated the Persian army at Issus.c.Was crowned Pharaoh of Egypt.d.Defeated the Persian army at the Granicus River.e.Became the leader of Macedonia.A.e, d, b, c, a B.d, e, a, c, bC.e, b, d, c, a D.d, a, c, e, b45.According to the passage, we can infer .A.Aristotle taught Alexander how to defeat other nationsB.Alexander was happy about his father’s deathC.Persia is tougher to defeat than EgyptD.Macedonia soon declined after Alexander died第二节信息匹配(共5小题;每小题2分,满分10分)阅读下列应用文及相关信息,并按照要求匹配信息。