上海2012年12月高三调研卷(13校联考卷)
上海市十二校高三数学上学期12月联考试题 理(含解析)苏教版
2013学年第一学期十二校联考高三数学(理)考试试卷一、填空题(每题4分,满分56分,将答案填在答题纸上)1.【题文】已知全集U {}5,4,3,2,1=,A {}3,1=,B {}4,3,2=,那么=⋃)(B C A U __.【结束】2.【题文】函数)12arcsin(-=x y 的定义域为 .【结束】3.【题文】若数列{}n a 满足:111,2()n n a a a n N *+==∈,则前6项的和6S = .(用数字作答)【答案】63【解析】试题分析:要求数列的前n 项的和,一般先确定下这个数列是不是等差数列或者等比数列,或者是否能转化为等差(或等比)数列,例如本题中由12n n a a +=,110a =≠,故数列{}n a 是等比数列,公比2q =,因此66126312S -==-.考点:等比数列的定义与前n 项和.【结束】4.【题文】计算:2(1)(13)lim (2)(1)n n n n n n →∞+-=-++________.222322213(1)(13)321lim lim lim 12(2)(1)21n n n n n n n n n n n n n n n n n n→∞→∞→∞--++---+==-++-+++-+++0=. 考点:“∞∞”型极限问题. 【结束】5.【题文】集合{}12-<<=x x A ,{}0<-=a x x B ,若B A ⊆,则实数a 的取值范围是 .【结束】6.【题文】设()887872x a x a x -=++…10a x a +,则87a a ++…0a += . 【答案】83【解析】试题分析: 0128,,,,a a a a 中正负相间,当然我们可以通过令1x =±求出【结束】7.【题文】已知函数)(x f 有反函数)(1x f -,且[),,0,24)(1+∞∈-=+x x f x x 则=-)0(1f .【结束】8.【题文】已知袋中有大小相同的红球和白球若干个,其中红、白球个数的比为4:3.假设从袋中任取2个球,取到的都是红球的概率为413.那么袋中的红球有 __个.【结束】9.【题文】已知函数32tan sin )(x x x x f ++=,)1,1(-∈x ,则满足不等式0)12()1(<-+-a f a f 的实数a 的取值范围是 .【结束】10.【题文】已知x 是7,6,5,,3,2,1x 这7个数据的中位数,且y x -,,2,12这四个数据的平均数为1,则xy 1-的最小值为 .【结束】11.【题文】设ω>0,若函数)(x f = sin 2x ω cos 2x ω 在区间[-3π,4π]上单调递增,则ω的范围是_____________. 【答案】3(0,]2【结束】12.【题文】设正项数列}{n a 的前n 项和是n S ,若}{n a 和}{n S 都是等差数列,且公差相等,则1a =_______________.【结束】13.【题文】函数)(x f y =的图像与直线b x a x ==,及x 轴所围成图形的面积称为函数)(x f 在[]b a ,上的面积,已知函数nx y sin =在⎥⎦⎤⎢⎣⎡n π,0上的面积为)(2*∈N n n ,则函数1)3sin(+-=πx y 在⎥⎦⎤⎢⎣⎡34,3ππ上的面积为 . 【答案】23π+【结束】14.【题文】(理)函数)(x f 的定义域为A ,若A x x ∈21,且)()(21x f x f =时总有21x x =,则称)(x f 为单函数,例如,函数)(12)(R x x x f ∈+=是单函数.下列命题:①函数)()(2R x x x f ∈=是单函数;②指数函数)(2)(R x x f x ∈=是单函数;③若)(x f 为单函数,A x x ∈21,且21x x ≠,则)()(21x f x f ≠;④在定义域上具有单调性的函数一定是单函数;⑤若)(x f 为单函数,则函数)(x f 在定义域上具有单调性.其中的真命题是________.(写出所有真命题的编号)【答案】②③④【解析】试题分析:这类问题,就是要读懂新定义的知识,能用我们已学的知识理解新知识,并加以应用.如①中(1)1(1)f f -==,但11-≠,故)()(2R x x x f ∈=不是单函数;②指数【结束】二、选择题:本大题共4个小题,每小题5分,共20分.在每小题给出的四个选项中,只有一项是符合题目要求的.15.【题文】命题:p 1a =;命题:q 关于x 的方程20x a -+=有实数解,则p 是q 的( ).(A) 必要不充分条件 (B) 充分不必要条件 (C)充要条件 (D)既不充分也不必要条件【结束】16.【题文】下列函数中,最小正周期为π的偶函数为( ) (A) )4cos()4sin(ππ++=x x y (B)xx y 2sin 2cos 1+= (C) x y 2tan 2= (D)x x y cos sin =【答案】A【结束】17.【题文】定义函数D x x f y ∈=),((定义域),若存在常数C ,对于任意D x ∈1,存在唯一的D x ∈2,使得C x f x f =+2)()(21,则称函数)(x f y =在D 上的“均值”为C .已知函数[]100,10,lg )(∈=x x x f ,则函数)(x f y =在[]100,10上的均值为( ) (A)101 (B)43 (C) 10 (D) 23【结束】18.【题文】某同学为了研究函数)10()1(11)(22≤≤-+++=x x x x f 的性质,构造了如图所示的两个边长为1的正方形ABCD 和BEFC ,点P 是边BC 上的一个动点,设x CP =,则PF AP x f +=)(.那么可推知方程222)(=x f 解的个数是………………………………( )(A )0. (B )1. (C )2. (D )4.【结束】三、解答题 (本大题共5小题,共74分.解答应写出文字说明、证明过程或演算步骤.)19.【题文】(本题满分12分) 本题共有2个小题,第1小题满分4分, 第2小题满分8分. 在直三棱柱ABC-A 1B 1C 1中,∠AB C=90°, A B=BC=1.(1)求异面直线B 1C 1与AC 所成角的大小;(2)若该直三棱柱ABC-A 1B 1C 1的体积为22,求点A 到平面A 1BC 的距离.(2)∵ABC S ∆=12,三棱柱111ABC A B C -的体积1ABC V S AA ∆=⋅=∴11AA AB (2分)∵CB ⊥平面11ABB A 1,∴190ABC ∠=︒,1A BC S ∆=, 设点A 到平面A 1BC 的距离为h ,(4分) 三棱锥A 1-ABC 的体积V=113ABC S AA ∆⨯⨯=三棱锥A-A 1BC 的体积V=113A BC S h ∆⨯⨯,(6分)∴3h =.(8分) 考点:(1)异面直线所成的角;(2)点到平面的距离.20.【题文】(本题满分14分)本题共有2个小题,第一小题满分7分,第二小题满分7分.已知以角B 为钝角的的三角形ABC 内角C B A 、、的对边分别为a 、b 、c ,)sin ,3(),2,(A n b a m -== ,且m 与n 垂直.(1)求角B 的大小;(2)求C A cos cos +的取值范围∵0sin ≠A ,∴23sin =B ,(6分) 又∵∠B 是钝角,∴∠B 32π= (7分) (2))3sin(3sin 23cos 21cos )3cos(cos cos cos ππ+=++=-+=+A A A A A A C A (3分)由(1)知A ∈(0,3π),)32,3(3πππ∈+A , (4分) ]1,23()3sin(∈+πA ,(6分) ∴C A cos cos +的取值范围是]3,23( (7分) 考点:(1)向量的垂直,正弦定理;(2)三角函数的值域.21.【题文】(本题满分14分)本题共有2个小题,第一小题满分7分,第二小题满分7分).某企业生产某种商品x 吨,此时所需生产费用为(100001002+-x x )万元,当出售这种商品时,每吨价格为p 万元,这里b ax p +=(b a ,为常数,0>x )(1)为了使这种商品的生产费用平均每吨最低,那么这种商品的产量应为多少吨?(2)如果生产出来的商品能全部卖完,当产量是120吨时企业利润最大,此时出售价格是每吨160万元,求b a ,的值.当且仅当100=x 时等号成立,(6分)【结束】22.【题文】(本题满分16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. 已知函数R x b a x x x f ∈+-=,)(.(1)当0,1==b a 时,判断)(x f 的奇偶性,并说明理由;(2)当1,1==b a 时,若45)2(=x f ,求x 的值; (3)若0<b ,且对任何[]1,0∈x 不等式0)(<x f 恒成立,求实数a 的取值范围.试题分析:(1)0,1==b a 时,()1f x x x =-为确定的函数,要证明它具有奇偶性,必须按照定义证明,若要说明它没有奇偶性,可举一特例,说明某一对值()f m 与()f m -不相等(不是偶函数)也不相反(不是奇函数).(2)当1,1==b a 时,45)2(=x f 为(2)当1,1==b a 时,11)(+-=x x x f , 由45)2(=x f 得451122=+-x x (1分) 即⎪⎩⎪⎨⎧=+-<⎪⎩⎪⎨⎧=--≥0412)2(120412)2(1222x x x x x x 或 (3分) 解得212)(22122212=-=+=x x x ,或舍或 (5分) 所以1)21(log 221log 22-+=+=x 或1-=x (6分) (3)当0=x 时,a 取任意实数,不等式0)(<x f 恒成立,故只需考虑(]1,0∈x ,此时原不等式变为x b a x -<- (1分) 即xb x a x b x -<<+【结束】23.【题文】(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8分,第3小题满分6分.已知数列{}n a 具有性质:①1a 为整数;②对于任意的正整数n ,当n a 为偶数时, 12n n a a +=;当n a 为奇数时,112n n a a +-=. (1)若1a 为偶数,且123,,a a a 成等差数列,求1a 的值;(2)设123m a =+(3m >且m ∈N ),数列{}n a 的前n 项和为n S ,求证:123m n S +≤+;(3)若1a 为正整数,求证:当211log n a >+(n ∈N )时,都有0n a =.【答案】(1) 0或2;(2)证明见试题解析;(3)证明见试题解析.【解析】(3)由于1a 是正整数,要证明从某一项开始,数列各项均为0,这提示我们可首先证明n a 为非负(这可用数学归纳法加以证明),然后由于数列的关系,可见数列在出现0之前,是递减的,下面要考虑的是递减的速度而已.当n a 为偶数时,12n n a a +=;当n a 为奇数时,1122n n n a a a +-=<,因此对所有正整数n ,都有12n n a a +≤,依此类推有112n n a a -≤,只要1112n a -≤,则有0n a =. 试题解析:(1)∵1a 为偶数,∴可设12()Z a n n =∈,故122a a n ==, 若n 为偶数,则32n a =,由123,,a a a 成等差数列,可知2132a a a =+, 即522n n =,解得0n =,故10a =; (2分)若n 为奇数,则312n a -=,由123,,a a a 成等差数列,可知2132a a a =+, 即51222n n =-,解得1n =,故12a =; ∴1a 的值为0或2. (4分)(2)∵123(3,)N m a m m =+>∈是奇数,∴1121212m a a --==+, 223122m a a --==,33422m a a -==,依此类推, 可知341,,,m a a a +成等比数列,且有12m n n a -+=(31)n m ≤≤+,又0121m a +==,21102m a +-==,30m a +=,… ∴当1n m ≤+时,0n a >;当2n m ≥+时,都有0n a =. (3分)故对于给定的m ,n S 的最大值为121m m a a a a +++++123010(23)(21)222(222)4m m m m m m ----=+++++++=++++112142321m m ++-=+=+-,所以123m n S +≤+. (6分)。
2013届上海市十二校联考语文试卷及参考答案
2012-2013学年第一学期上海市十二校联考语文试卷一阅读 80分(一)阅读下文,完成1-6题。
(16分)悠着点,慢着点-----‚贫富‛与‚欲望‛漫谈莫言①中国古代有个大贤人司马迁说过:‚天下熙熙,皆为利来;天下攘攘,皆为利往。
‛中国的圣人孔夫子说过:‚富与贵,人之所欲也;贫与贱,人之所恶也。
‛中国的老百姓说:‚穷在大街无人问,富在深山有远亲。
‛无论是圣人还是百姓,无论是知识分子还是文盲,都对贫困和富贵的关系有清醒的认识。
②贫困者羡慕并希望得到富贵,这是人之常情,也是正当的欲望,这一点孔夫子也给予肯定,但孔夫子说:尽管希望富贵是人的正当欲望,但不用正当的方法得到的富贵是不应该享受的。
贫困是人人厌恶的,但不用正当的手段摆脱贫困是不可取的。
时至今日,圣人二千多年前的教导,早已变成了老百姓的常识,但现实生活中,用不正当的方式脱贫致富的人比比皆是,用不正当的方式脱贫致富但没受到惩罚的人比比皆是,虽然痛骂着那些用不正当的方式脱贫致富了的人,但只要自己有了机会也会那样做的人更是比比皆是,这就是所谓的世风日下,人心不古。
③人类的欲望是填不满的黑洞。
渔夫的老婆起初的欲望只是想要一只新木盆,但得到了新木盆后,她马上就要木房子……她甚至让那条能满足她欲望的金鱼做她的奴仆,这就越过了界限,如同吹肥皂泡,吹得过大,必然爆破。
凡事总有限度,一旦过度,必受惩罚,这是朴素的人生哲学,也是自然界诸多事物的规律。
民间流传的许多具有劝诫意义的故事都在提醒人们克制自己的欲望。
据说印度人为捕捉猴子,制作一种木笼,笼中放着食物。
猴子伸进手去,抓住食物,手就拿不出来。
要想拿出手来,必须放下食物,但猴子绝对不肯放下食物。
猴子没有‚放下‛的智慧。
人有‚放下..‛的智慧吗?有的人能抵挡金钱的诱惑但未必能抵挡美女的诱惑,有的人能抵挡金钱美女的诱惑,但未必能抵挡权力的诱惑,人总是会有一些舍不得放下的东西,这就是人的弱点,也是人的丰富性所在。
④要控制人类的贪欲,最直接最有效的手段还是法律,法律如同笼子,欲望如同猛兽。
上海市十三校2012届高三第二次联考数学试题
上海市十三校2012届高三第二次联考数学试题一、填空题(每小题4分,共56分)1.不等式|1|1x ->的解集是 。
2.2lim 21nn n →∞+= 。
3.若tan 2,α=则cos sin sin cos αααα= 。
4.已知复数1a iz i+=-为纯虚数,则实数a= 。
5.从10名女生和5名男生中选出6名组成课外学习小组,则选出4女2男组成课外学习小组的概率是 。
(精确到0.01)6.按如下图所示的流程图运算,若输入x=8,则输出k= 。
7.若函数()y f x =的反函数是1()f x -,且(2)1f -=,则满足1(2)20f a --+=的实数a= 。
8.若直线10kx y -+=与圆22210x y x my ++-+=交于M ,N 两点,且M ,N 关于直线y x =-对称,则|MN|= 。
9.已知P 为ABC ∆所在平面内一点,且满足1233AP AC AB =+,则APB ∆的面积与APC ∆的面积之比为 。
10.若存在..实数[1,2]x ∈满足22x a x >-,则实数a 的取值范围是 。
11.长方体ABCD —A 1B 1C 1D 1的各顶点都在以O 为球心的球面上,且AB=AD=1,1AA A 、B 两点的球面距离为 。
12.若函数22256()f x x a b x=+++的零点都在(][),22,-∞-+∞ 内,则直角坐标平面内满足条件的点P (a ,b )组成区域的面积为 。
13.设集合A R ⊆,如果0x R ∈满足:对任意0a >,都存在x A ∈,使得00||x x a <-<,那么称0x 为集合A 的一个聚点,则在下列集合中: (1)Z Z +-(2)R R +-(3)*1|,x x n N n ⎧⎫=∈⎨⎬⎩⎭(4)*|,1n x x n N n ⎧⎫=∈⎨⎬+⎩⎭以0为聚点的集合有 (写出所有你认为正确结论的序号)14.已知等差数列{}n a (公差不为零)和等差数列{}n b ,如果关于x 的方程21291299()0x a a a x b b b -+++++= 有解,那么以下九个方程2110x a x b -+=,2222233990,0,0x a x b x a x b x a x b -+=-+=-+= 中,无解的方程最多有 个。
上海市十二校2012-2013学年第一学期高三化学考试试卷
上海市十二校2021-2021学年第一学期高三化学考试试卷命题:曙光中学金秀红审题顾武权2021年12月相对原子质量:H-1 C-12 N-14 O-16 Na-23 Al-27 S-32 Cl-35.5 V-51 Cr-52 Mn-55 Fe-56 Ba-137第一卷〔66分〕一、选择题〔此题共10分,每题2分,只有一个正确选项〕1、调查发现,经过装修的居室中由装修材料缓慢释放出来的化学污染物浓度过高,会影响安康。
这些污染物中最常见的是A.甲醛B.一氧化碳C.二氧化硫D.臭氧2、以下各组物质按混合物、纯洁物、弱电解质分类正确的选项是A.铝热剂、液氯、苯酚B.苦卤、氢氧化铝胶体、氨水C.漂白精、盐酸、碳酸氢钠D.纯碱、醋酸、硫酸钡3、以下获取物质的方法,不正确的选项是A.用电石和饱和食盐水制取乙炔B.通过石油分馏得到甲烷、乙烯和苯C.用碳酸钠和氢氧化钙反响制氢氧化钠D.将氯气通入氢氧化钠溶液得到漂白液4、以下各给物质中,所含化学键类型完全一样,晶体类型也一样的是A.CO2和H2O B.NaOH和Na2OC.NaC1和HC1 D.SO2和SiO25、双氧水是二元弱酸,那么以下有关化学用语使用正确的选项是A.H2O2的电子式:B.双氧水的电离方程式为H2O2H+ + HO2—C.16O22—离子中,质量数之和是电子数之和的两倍D.将双氧水溶液加热升温后,溶液pH一定减小二、选择题〔此题共36分,每题3分,只有一个正确选项〕6、化学在生产和日常生活中有着重要的应用。
以下说法不正确的选项是A.明矾水解形成的Al〔OH〕3胶体能吸附水中悬浮物,可用于水的净化B.在海轮外壳上镶入锌块,可减缓船体的腐蚀速率C.MgO的熔点很高,可用于制作耐高温材料MgCl饱和溶液,可制得金属镁D.电解27、以下各组物质中,每种物质都能被氧化又能被复原的是A. F2、Cl2、CuSO4B. Cl2、Al、H2C. H2S、HCl、H2O2D. F2、K、HCl8、以下推断正确的选项是A.SiO2是酸性氧化物,能与NaOH溶液反响B.Na2O、Na2O2组成元素一样,与CO2反响产物也一样C.CO、NO、NO2都是大气污染气体,在空气中都能稳定存在D.新制氯水显酸性,向其中滴加少量紫色石蕊试液,充分振荡后溶液呈红色9、在以下各溶液中,离子一定能大量共存的是A.pH=1的溶液中:HCO3—、NH4+、NO3—、Ca2+B.在强碱性溶液中:Na+、K+、AlO2—、Cl—C.无色溶液中:Fe3+、MnO4—、Cl—、H+D.由水电离出的c(H+)=10—12 mol/L的溶液中:ClO—、Na+、SO32—、K+10、以下表达正确的选项是A.1.00mol NaCl中含有6.02×1023个NaCl分子B. 1.00mol NaCl中,所有Na+的最外层电子总数为8×6.02×1023C.欲配置1.00L ,1.00mol.L-1的NaCl溶液,可将58.5g NaCl溶于1.00L水中D.电解58.5g 熔融的NaCl,能产生22.4L氯气〔标准状况〕、23.0g金属钠11、能正确表示以下反响的离子方程式为A. 硫化亚铁溶于稀硝酸中:FeS+2H+→Fe2++H2S↑B. NH4HCO3溶于过量的NaOH溶液中:HCO3-+OH-→CO32-+H2OC. 少量SO2通入苯酚钠溶液中:C6H5O-+SO2+H2O→C6H5OH+HSO3-D. 大理石溶于醋酸中:CaCO3+2CH3COOH→Ca2++2CH3COO-+CO2↑+H2O12.将0.4g NaOH和1.06 g Na2CO3混合并配成溶液,向溶液中滴加0.1 mol·L-1稀盐酸。
上海市十三校高三数学12月联考试题 文 沪教版
上海市十三校2013年高三调研考数学试卷(文科)2013.12一、填空题(本大题满分56分,每小题4分)1.函数()24|2|x f x x -=+的定义域是___________.2.幂函数)(x f y =的图像经过点)21,4(,则1()4f 的值为 . 3.方程tan 2cos()2x x π=+在区间()0,π内的解为 .4.计算:21lim 1n n n n →∞⎡⎤⎛⎫-⎪⎢⎥+⎝⎭⎣⎦=_________. 5.已知二元一次方程组的增广矩阵是421m m mm +⎛⎫⎪⎝⎭,若该方程组无解,则实数m 的值为___________.6.已知流程图如图所示,为使输出的b 值为16,则判断框内①处可以填数字 .(填入一个满足要求的数字即可)7.等差数列{}n a 中,1102,15a S ==,记2462n n B a a a a =+++L ,则当n =____时,n B 取得最大值.8.已知x y R +∈、,且41x y +=,求19x y+的最小值.某同学做如下解答: 因为 x y R +∈、,所以1424x y xy =+≥1992x y xy+≥┄②, ①⨯②得19924224xy x y xy+≥=,所以 19x y +的最小值为24。
判断该同学解答是否正确,若不正确,请在以下空格内填写正确的最小值;若正确,请在以下空格内填写取得最小值时x 、y 的值. . 9.若4mx x+≥在[]3,4x ∈内恒成立,则实数m 的取值范围是 . 10.函数()()x x y 2arccos 1arcsin +-=的值域是 .11.已知函数()()2318,343,3x tx x f x t x x ⎧-+<⎪=⎨--≥⎪⎩在R 递减,则实数t 的取值范围是_________.12.设正数数列{}n a 的前n 项和是n S ,若{}n a 和{n S }都是等差数列,且公差相等,则=+d a 1__ _.13.函数()()g x x R ∈的图像如图所示,关于x 的方程 2[()]()230g x m g x m +⋅++=有三个不同的实数解, 则m 的取值范围是_______________.14.已知无穷数列{}n a 具有如下性质:①1a 为正整数;②对于任意的正整数n ,当n a 为偶数时,12n n a a +=;当n a 为奇数时,112n n a a ++=.在数列{}n a 中,若当n k ≥时,1n a =,当1n k ≤<时,1n a >(2k ≥,*k N ∈),则首项1a 可取数值的个数为 (用k 表示)二、选择题(本大题满分20分,每小题5分)15.函数22log xy x =+的零点在区间( )内.(A )11(,)43 (B )12(,)35 (C )21(,)52 (D )12(,)2316.如果a b c 、、满足c b a <<,且0ac <,那么下列选项不恒成立的是( ).(A )ab ac > (B )22cb ab <(C )()0c b a -> (D )()0ac a c -<17.如图,点P 在边长为1的正方形的边上运动,M 是CD 的中点, 则当P 沿A B C M ---运动时,点P 经过的路程x 与APM ∆的面积y 的函数()y f x =的图像的形状大致是下图中的( ). 2.521yx2.521yx2.52yx12.52yx(A ) (B ) (C ) (D )18.已知x y R ∈、,命题p 为x y >,命题q 为sin cos sin cos x y x y x y +>+.则命题p 成立是命题q 成立的 ( ).(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P ABOOO O三、解答题(本大题满分74分) 19.(本题满分12分,第一小题满分4分,第二小题满分8分)已知集合21|1,1x A x x R x -⎧⎫=≤∈⎨⎬+⎩⎭,集合{}1,B x x a x R =-≤∈. (1)求集合A ;(2)若R B A B =I ð,求实数a 的取值范围.20.(本题满分14分,第一小题满分7分,第二小题满分7分)行列式cos 2sin 01cos A A x A x x()0A >按第一列展开得1121312M M -+,记函数()1121f x M M =+,且()f x 的最大值是4.(1)求A ;(2)将函数()y f x =的图像向左平移12π个单位,再将所得图像上各点的横坐标扩大为原来的2倍,纵坐标不变,得到函数()y g x =的图像,求()g x 在11,1212ππ⎛⎫- ⎪⎝⎭上的值域. 21.(本题满分14分,第一小题满分6分,第二小题满分8分)钓鱼岛及其附属岛屿是中国固有领土,如图:点A 、B 、C 分别表示钓鱼岛、南小岛、黄尾屿,点C 在点A 的北偏东47°方向,点B 在点C 的南偏西36°方向,点B 在点A 的南偏东79°方向,且A 、B 两点的距离约为3海里。
2013届上海市十二校高三第二学期联考英语试题及答案
2013届上海英语高考校际联考十二校联考(第二次)第Ⅰ卷(105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. January. B. June C. December D. November2. A. The director. B. The woman. C. The guide. D. His uncle.3. A. It doesn’t work. B. It only works temporarily.C. It’s really effective.D. It has strong side effects.4. A. The woman rejected the man’s apology.B. The woman much appreciated the man’s offer.C. The man had forgotten the whole thing.D. The man had hurt the woman’s feelings.5. A. She stole money from others.B. She fell down and got hurt.C. She was unhappy for being wronged.D. She lost some of her money.6. A. They are going swimming. B. They are going hiking.C. They are going shopping.D. They are going diving.7. A. He needs another job as a research assistant.B. He asked Professor Williams for assistance.C. He assists Professor Williams with his teaching.D. He is doing research with Professor Williams8. A. She thought there were no tickets left for the show.B. She thought the seats on the left side were fully occupied.C. The show was planned a long time ago.D. The audience were deeply impressed by the show.9. A. She plans to go to graduate school.B. She will drop out of school.C. She will stop working and concentrate on her studies.D. She will take a part-time job.10. A. The bank. B. In a school.C. In a clothing store.D. In a barber shop.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passages. 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 13 are based on the following passage.11. A. Because the bird couldn’t repeat his master’s name.B. Because the bird screamed all day long.C. Because the bird said the wrong word.D. Because the bird failed to say the name of the town.12. A. The cruel master. B. The woman in the kitchen.C. The pet bird.D. The fourth chicken.13. A. The bird had finally understood her threat.B. The bird managed to escape from the chicken house.C. The bird had learned to scream back at her.D. The bird was living peacefully with the chickens.Questions 14 through 16 are based on the following news.14. A. To inform parents and schools. B. To pick out good students.C. To compare teachers.D. To expose poor schools.15. A. They have no trust in doctors. B. They cannot afford the medical fee.C. They fear things like injections.D. They doubt the medical treatment.16. A. Teacher s’ difficult life. B. Harm of divorce to families.C. Ways to become loveable kids.D. Kid s’ attention-seeking behavior.Section CDirections:In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you have heard. Write your answers on your answer sheet.Blanks 17 through 20 are based on the following conversation.Status Karen Finch is a __17__ of BBC, who is now in Los Angles.Bo Lundquist is a __18__ from Sweden.Daily Training *Start training at 5:30 a.m., practise about __19__ hours, and thenhave a short break for breakfast.*Usually finish training at about __20__Complete the form. Write ONE WORD for each answer.Questions 21 through 24 are based on the following conversation.What do Cindy and Steve have to do? They have to __21__ their classes they missed.Why is Cindy sad to hear the news? Because she’s afraid she might __22__the trip.Why don’t they add extra days beforeBecause __23__ can’t be changed.summer?When does the conversation probablyBefore __24__take place?Complete the form. Write NO MORE THAN THREE WORD S for each answer.II. Grammar and VocabularySection ADirections: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.25. Undoubtedly, life teaches us not to regret over yesterday, for it has passed and is ___ ourcontrol.A. againstB. beyondC. amongD. in26. After a careful discussion, the two parties have made a rough plan but the details________________ out later.A. are workedB. being workedC. to be workedD. are to be worked27. _________ has teaching experience can apply for the job.A. No matter whoB. WhoeverC. AnyoneD. Who28. Neither of the two debaters has been able to convince the other that his country’s social systemis ___ of the two.A. betterB. a better oneC. the betterD. the best one29. Hard work with a little wisdom _________ that John succeeded in his job.A. made possibleB. was made possibleC. made it possibleD. made it possibly30. ___________, I think, and the problem could be settled.A. As you keep up your spiritsB. A bit more effortC. If you double your effortD. Making great efforts31. _________ the customers, the company said that the amount of the chemical in the diet pillswouldn’t harm people’s health.A. Having calmedB. CalmingC. CalmedD. To calm32. ---What do you think is the matter with your car?---Well, it _____ start at all. I mean I turned the key and nothing happened.A. shan’tB. mustn’tC. won’tD. shouldn’t33. The newly-founded company is faced with lots of trouble, ___________ the financial problemis the worst.A. whichB. of whichC. to whichD. with which34. The seven-year-old boy put up a picture of Apple Former Steve Jobs beside the bed to keephimself ______ of his own dream.A. remindingB. to remindC. remindedD. remind35. Although the small room is ____ the large one, it is more beautifully decorated.A. one-third of the sizeB. the one-third size ofC. one-third the size ofD. the size of one-third36. Having been ill in bed for nearly a month, Kate had a hard time ___ the exam.A. passB. to passC. passedD. passing37. Out of one man’s painful experiences ____ sensitive insights for us all.A. do it comeB. comesC. does it comeD. come38. Hours of playing violent video games can affect the way the brain works, ___ damage tocertain cells of brain.A. to causeB. causingC. causeD. caused39. Kids should be encouraged to take part in community service ___ the voluntary spirit can takeroot in their minds from childhood.A. in thatB. now thatC. so thatD. provided that40. It is uncertain _____ side effect the medicine will bring about, although about two thousandpatients have taken it.A. thatB. whatC. howD. whetherSection 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. expensiveB. crisisC. cheapD. compared AB. promoteAC. deserve AD. available BC. feed BD. reduced CD. politics Ever since they were first put on the market in the early 1990s, genetically modified (GM, 转基因) foods have been increasingly developed and marketed in many countries in the word, mainly on the basis of their promise to end the worldwide food __41__. But can GM technology solve world hunger problems? Even if it would, is it the best solution?Despite what it promises, GM technology actually has not increased the production potential of any crop. In fact, studies show that the most widely grown GM crop, GM soybeans, has suffered __42__ productivity. For instance, a report that analyzed nearly two decades of research on major GM food crops shows that GM engineering has failed to significantly increase US crop production.Something else, however, has been on the rise. While GM seeds are __43__, GM companies tell farmers that they will make good profits by saving money on pesticides(杀虫剂). On the contrary, US government data show that GM crops in the US have produced an overall increase in pesticide use __44__ to traditional crops. “The promise was that you could use less chemicals and __45__ production. But nei ther is true,” said Bill Christiso n, President of the US National Farm Coalition.At the same time, the authors of the book World Hunger: Twelve Myths argue that there actually is more than enough food in the world and that the hunger crisis is not caused by production, but by problems in food distribution and __46__. These indeed __47__ our efforts and money. Meanwhile, the rise in food prices results from the increased use of crops for fuel rather than food, according to a World Bank report.As a matter of fact, scientists see better ways to __48__ the world. Another World Bank report concluded that GM crops have little to offer to the challenges of worldwide poverty and hunger, because better ways out are __49 __, among which “green” farming is supposed to be the first choice.III. Reading ComprehensionSection ADirections: For each blank in the following passage 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.For many parents, raising a teenager is like fighting a long war, but years go by without any clear winner. Like a border conflict between neighboring countries, the parent-teen war is about boundaries: Where is the line between what I __50__ and what you do?Both sides want peace, but neither feels it has any power to stop the __51__. In part, this is because neither is willing to admit any responsibility for __52__. From the parents’ point of view, the only cause of their fight is their adolescents’ complete unreasonableness. And of course, the teens see it in exactly the same way, except__53__ . Both feel trapped.In this article, I’ll describe three no-win situations that commonly __54__ between teens and parents and then suggest some ways out of the trap. The first no-win situation is quarrels over __55__ things. Examples include the color of the teen’s hair, the cleanliness of the bedroom, the __56__ style of clothing, the child’s __57__ to eat a good breakfast before school, or his __58__ to sleep until noon on the weekends. Second, __59__. The goal of a blaming battle is to make the other admit that his bad attitude is the reason why everything goes wrong. Third, needing to be __60__. It doesn’t matter what the __61__ is —politics, the laws of physics ,or the proper way to break an egg —the point of these __62__ is to prove that you are right and the other person is wrong, for both wish to be considered an __63__—someone who actually knows something —and therefore to command__64__. Unfortunately, as long as parents and teens continue to assume that they know more than the other, they’ll continue to fight these battles forever and never make any real progress.50.A. display B. control C. forgive D. motivate51.A. pressure B. intention C. conflict D. misunderstanding52.A. starting B. recognizing C. indentify D. releasing53.A. occasionally B. completely C. precisely D. oppositely54.A. loss B. arise C. decline D. obtain55.A. unimportant B. unique C. specific D. significant56.A. reasonable B. preferred C. changeable D. granted57.A. desire B. attempt C. passion D. failure58.A. willingness B. right C. tendency D. promise59.A. blaming B. gossiping C. shouting D. commanding60.A. powerful B. knowledgeable C. instructive D. right61.A. question B. topic C. hint D. article62.A. problems B. difference C. arguments D. obstacles63.A. authority B. instructor C. opponent D. advisor64.A. information B. image C. knowledge D. respectSection BDirections:Read the following four passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, and C. Choose the one that fits best according to the information given in the passage you have just read.(A)Does it feel right?This is an excerpt from Oprah Winfrey’s 2008 Stanford Commencement (毕业典礼) Address:A year after I left college, I was given the opportunity to co-anchor (共同主持) the 6 o’clock news in Baltimore…Yet, it didn’t feel right. The first sign, as President Hennessy was saying, was when they tried to change my name. T he news director said to me at the time: “Nobody’s going to remember Oprah. So, we want to change your name. We’ve come up with a name we think that people will remember and people will like. It’s a friendly name: Suzie.”… I grew up not loving the name, but once I was asked to change it, I thought, well, it is my name and do I look like a Suzie to you? So, I thought, no, it doesn’t feel right. I’m not going to change my name. And if people remember it or not, that’s OK.And then they said they didn’t like the way I looked… So, they sent me to a salon where they gave me a perm (烫发), and after a few days all my hair fell out and I had to shave my head. And then they really didn’t like the way I looked, because now I am black and bald and sitting on TV. Not a pretty picture.But even worse than being bald, I really hated, hated, hated being sent to report on other people’s tragedies as a part of my daily duty, knowing that I was just expected to observe, when everything in my instinct told me that I should be doing something, (and that) I should be lending a hand…It felt right. And that’s where everything that followed for me began. And after eight months, I lost that job. They said I was too emotional. I was too much. But since they didn’t want to p ay out the contract, they put me on a talk show in Baltimore. And the moment I sat down on that show, the moment I did, I felt like I’d come home. I realized that TV could be more than just a playground, but a platform for service, for helping other people’s lives improve. And the moment I sat down, doing that talk show, it felt like breathing.And I got that lesson. When you’re doing the work you’re meant to do, it feels right and every day is a bonus (意外收获), regardless of what you’re getting paid.65. Why did Oprah refuse to change her name to Suzie?A. She wanted to be herself.B. It would be inconvenient.C. The name Suzie was too ordinary.D. She was fond of her own name.66. What was the most important reason for why Oprah hated her job reporting the news?A. Reporting tragedies all day made her sad.B. She didn’t like just standing around and talking.C. She hoped she could decide what to report.D. She was asked to change her name and shave her hair off.67. What does “that lesson” in the last par agraph refer to?A. Listening to your heart.B. A good beginning makes a good ending.C. Don’t hesitate to find a better job.D. Helping people improve.68. Which of the following best describes Oprah?A. Understanding and optimistic.B. Careful and considerate.C. Persuasive and emotional.D. Determined and sympathetic.(B)We have designed all our bank cards to make your life easier.How to use your NatWest ServicecardAs a Switch card, it lets you pay for all sorts of goods and services, wherever you see the Switch logo. The money comes straight out of your account, so you can spend as much as you like as long as you have enough money or an agreed overdraft (透支) to cover it. It is also a cheque guarantee for up to the amount shown on the card. And it gives you free access to your money from over 31,000 cash machines across the UK.How to use your NatWest CashcardYou can use your Cashcard as a Solo card to pay for goods and services wherever you see the Solo logo. It can also give you access to your account and your cash from over 31,000 cash machines nationwide. You can spend or withdraw what you have in your account, or as much as your agreed overdraft limit.Using your card abroadYou can also use your Servicecard and Cashcard when you're abroad. You can withdraw at cash machines and pay for goods and services wherever you see the Cirrus or Maestro logo displayed.We take a commission charge (手续费) of 2.25% of each cash withdrawal you make (up to £4) and a commission Charge of 75 pence every time you use Maestro to pay for goods or services. We also apply a foreign-exchange transaction fee of 2.65%.How to use your NatWest Credit CardWith your credit card you can do the following:* Pay for goods and services and enjoy up to 56 days interest-free credit.* Pay in over 24 million shops worldwide that display the Mastercard or Visa logos.* Collect one AIR MILE for every £20 of spending that appears on your statement (结算单). (This does not include foreign currency or traveler’s cheques bought, interest and other charges.)69. If you carry the Servicecard or the Cashcard, ________.A. you can use it to guarantee things as you wishB. you can draw your money from cash machines convenientlyC. you can spend as much money as you like without a limitD. you have to pay some extra money when you pay for services in the UK70. If you withdraw £200 from a cash machine abroad,you will be charged ________.A. £4B. £4.5C. £5.25D. £5.371. Which of the following is TRUE about using your NatWest Credit Card?A. You have to pay back with interest within 56 days.B. You will be charged some interest beyond two months.C. You can use the card in any shop across the world.D. You will gain one air mile if you spend £20 on traveler’s c heques.(C)Many people think the search for cleaner energy leads only to renewable resources like sun,wind and water. But it also leads to a fossil fuel. Natural gas is considered the cleanest of the fossil fuels, the fuels created by plant and animal remains over millions of years.Burning it releases fewer pollutants than oil or coal. The gas is mainly methane(甲烷). It produces half the carbon dioxide of other fossil fuels. So it may help cut the production of carbon gases linked to climate change.Russia is first in what are called "proved reserves" of natural gas. The United States is sixth. Over the years, big oil and gas companies recovered much of the easily reached supplies of gas in America. They drilled straight down into formations where gas collects. As these supplies were used up, big drillers looked for similar formations in other countries.But now the industry is taking a new look. Companies are developing gas supplies trapped in shale rock two to three thousand meters underground. They drill down to the shale (页岩), then go sideways and inject high-pressure water, sand or other material into the rock. This causes the rock to break, or fracture, releasing the gas. Huge fields of gas shale are believed to lie under the Appalachian Mountains, Michigan and the south-central states.Gas shale exploration is being done mainly by small to medium sized companies. Eric Potter is a program director in the Bureau of Economic Geology at the University of Texas at Austin.ERIC POTTER: "The types of opportunities that are left for natural gas exploration in the U.S. have changed. So it's a different class of resource -- not as easy to develop, and not even recognized as something worth pursuing, say, twenty years ago."He says more than half the gas in the United States is now coming from these new reserves.But hydraulic fracturing can also produce debate and anger over the risk of groundwater pollution. This method of drilling is not federally supervised under the Safe Drinking Water Act. Some in Congress want to end that exemption (免除) from the law.Natural gas provides Americans with about one-fourth of their energy. And, unlike oil, most of it is produced in America. Gas producers invested heavily in reaching new supplies when prices were high. But prices are down sharply now because the recession(经济衰退) cut demand for energy. So energy expert Eric Potter says it is too early to know how the new gas shale reserves will affect the market.72. Which of the following statements is TRUE about fossil fuels?A. Fossil fuels are a kind of renewable resource just like sun, wind and water.B. Burning natural gas releases more pollutants than oil or coal.C. Fossil fuels were created millions of years ago by plant and animal remains.D. Using fossil fuels may help change the climate.73. What does the writer mean by saying “now the industry is taking a new look”?A. The U.S. will be ranked first in natural gas because it has huge fields of gas shale.B. People gain natural gas from shale rock using a method different from the traditional ones.C. Gas shale exploration will bring human beings abundant supply of natural gas.D. There should be no concern over the energy shortage because the industry is developing.74. When did gas producers invest heavily in finding new supplies of natural gas?A. When people’s demand for energy increased.B. When natural gas provided Americans with about one-fourth their energy.C. When Americans began to look for cleaner energyD. When the economy was in recession.75. Which one is TRUE about gas shale exploration?A. It is against the Safe Drinking Water Act.B. It was considered not worth doing twenty years ago.C. It will release pollutants to the water.D. It will bring down the price of natural gas.Section CDirections:Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.A. Relocate the meaning of life.B. Say goodbye to guilt and regret.C. Avoid repetition.D. Do something new.AB. Give to get.AC. Put yourself in the fun zone.Five Secrets of High-Energy People76.Very little that’s new occurs in our lives. The impact of this sameness on our emotional energy is gradual, but huge: It’s like a tire with a slow leak. You don’t notice it at first, but eventually you’ll get a flat. Here’s a challenge: If it’s something you wouldn’t ordinarily do, do it. Try a dish you’ve never eaten. Listen to music you’d ordinarily tune out. You’ll dis cover these small things add to your emotional energy.77.The first step in solving this meaning shortage is to figure out what you really care about, and then do something about it. A case in point is Ivy, 57, a pioneer in investment banking. “I mista kenly believed that all the money I made would mean something,” she says. “But I feel lost, like a 22-year-old wondering what to do with her life.”Ivy’s solution? She started a program that shows Wall Streeters how to donate time and money to poor children. In the process, Ivy filled her life with meaning.78.Most of us grown-ups live a dull life. High-energy people have the same day-to-day work as the rest of us, but they manage to find something enjoyable in every situation. A real estate broker I know keeps herself amused on the job by mentally redecorating the houses she shows to clients. “I love imagining what even the most run-down house could look like with a little tender loving care,” she says. “It’s a challenge—and the least desirable propertie s are usually the most fun.”79.Everyone’s past is filled with regrets that still cause pain. But from an emotional energy point of view, they are dead weights that keep us from moving forward. While they can’t merely be willed away, I do recommend you remind yourself that whatever happened is in the past, and nothing can change that. Holding on to the memory only allows the damage to continue into the present.80.Emotional energy has a kind of magical quality; the more you give, the more you get back. This is the difference between emotional and physical energy. With the latter, you have to get it to be able to give it. With the former, however, you get it by giving it. After all, if it’s true that whatgoes around comes around, why not make sure that what’s circulating around you is the good stuff?Section DDirections:Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.Many of the problems facing today’s world aren’t news to us. The en vironment is in dire need of help because it’s being damaged, hunger is widespread throughout the world, and workers in third world countries are continuously being exploited. Therefore, individuals across the globe need to band together for a cause and use their collective efforts to make all the difference in the world.For instance, one person recycling a can or a bottle doesn’t seem like much. But if every household in a given city were to recycle and conserve energy, that city could make a huge positive impact on environmental damage. Similarly, there are countless ways to help fight world hunger—whether it’s to donate money to a dedicated worldwide charity, donate canned goods to your local charity, or even make lifestyle changes like going vegetarian. World hunger is a massive problem—but it doesn’t mean individuals themselves can’t make a difference.Worker exploitation is another huge problem. All across the world—particularly in third world countries—workers are forced to labor long hours, with close to no pay. Yet these workers continue to show up to such a way of life, because they have no other options.So, how can people like us help fight such a big problem? Simply raising awareness of the products you buy in stores—from clothing to food—is a massive start. For example, if you see two similar products side by side in a food shop, but one of them is labeled “fair trade”,you’ll know immediately that the workers who labored to produce that product were given a fair price for their goods. And true, fair trade products might cost a little bit more, but buying them is a significant start to help fight worker exploitation.In short, each of us should be socially conscious to make a difference to widespread social problems.(Note: Answer the questions or complete the statements in NOT MORE THAN 10 words.) 81. According to the passage, what are the problems facing today’s world?_________________________________________________________.82. To overcome the problems facing today’s world, people should _________________________________________________________________________.83. We can fight world hunger by ___________________________________________.84. If you ______________________________________, you are helping fight worker exploitation.第II卷(45分)I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1. 看来他不能胜任律师这一职业。
上海市十三校2012届高三12月第一次联考数学(理)试卷
2012年高三年级十三校第一次联考数学(理科)试卷考试时间:120分钟 满分:150分一、填空题(本大题满分56分)本大题共有14题,每题4分.1. 已知*n N ∈,则n = .2. 如图,U 是全集,A U B U ⊆⊆,,用集合运算符号表示图中阴影部分的集合是 .3. 函数21()sin cos 22f x x x =+-的最小正周期是 . 4. 若2i +是方程20( )x bx c b c R ++=∈、的根,其中i 是 虚数单位,则b c += . 5. 若函数12()log a f x x -=在(0 )+∞,上单调递减, 则实数a 的取值范围是 .6. 图中是一个算法流程图,则输出的 正整数n 的值是 .7. 设函数212() 0()2log (2) 0x x f x x x ⎧⎪-≤=⎨+>⎪⎩的反函数 为1()y f x -=,若1()4f a -≥,则实数a 的取值范围是 .8. 对于任意的实数k ,如果关于x 的方程()f x k =最多有2个不同的实数解,则|()|f x m =(m 为实常数)的不同的实数解的个数最多为 .9. 设函数131()()2x f x x =-的零点*011( )()1x n N n n∈∈+,,则n = .10. 已知数列{}n a 的前n 项和27211n S n pn a =+=,,若112k k a a ++>,则正整数k 的最小值为 .11. 如图,在ABC ∆中,90 6 BAC AB D ∠==,,在斜 边BC 上,且2CD DB =,则AB CD ⋅的值为 .12. 设不等式21log (0 1)a x x a a -<>≠且,的解集为M ,若(1 2)M ⊆,,则实数a 的取值范围是 . 13. 已知函数()2arctan x f x x =+,数列{}n a 满足*111()()()402312n n na a f a f n N a +==∈,-,则2012()f a = .14. 设 a b c ,,是平面内互不平行的三个向量,x R ∈,有下列命题: ①方程20(0)ax bx c a ++=≠不可能有两个不同的实数解;②方程20(0)ax bx c a ++=≠有实数解的充要条件是240b a c -⋅≥;③方程22220a x a bx b +⋅+=有唯一的实数解b x a=-; ④方程22220a x a bx b +⋅+=没有实数解.(第2题图)DABC(第11题图)M BA图1 图2其中真命题有 .(写出所有真命题的序号)二、选择题(本大题满分20分)本大题共有4题,每题5分.15.已知a R∈,不等式31xx a-≥+的解集为P,且2P-∉,则a的取值范围是 ( ) A.3a>- B.32a-<< C.2a>或3a<- D.2a≥或3a<-16.设角()2k k Zπαβπ≠+∈、,则“()4n n Zπαβπ+=+∈”是“(1tan)(1tan)2αβ++=”成立的( )A.充分非必要条件B.必要非充分条件C.充要条件D.既非充分也非必要条件17.对于复数a b c d、、、,若集合{}S a b c d=,,,具有性质:“对任意x y S∈,,都有xy S∈”,则当2211abc b=⎧⎪=⎨=⎪⎩时,b c++的值是( )A.1B.1- C.i D.i-18.下图展示了一个由区间(0 1),到实数集R的对应过程:区间(0 1),中的实数m对应数轴上(线段AB)的点M(如图1);将线段AB围成一个圆,使两端点A B、恰好重合(如图2);再将这个圆放在平面直角坐标系中,使其圆心在y轴上;点A的坐标为(0 1),(如图3),当点M从A到B是逆时针运动时,图3中直线AM与x轴交于点( 0)N n,,按此对应法则确定的函数使得m与n对应,即()f m n=.对于这个函数()y f x=,有下列命题:①1()14f=-;②()f x的图像关于1( 0)2,对称;③若()f x=,则56x=;④()f x在(0 1),上单调递增.其中数是( )A.1 B.2 C.3 D.4三、解答题(本大题共5小题,满分74分)19.(本题满分12分)已知矩阵||5||1xx+⎛⎫⎪+⎝的某个列向量的模不大于行列式211203423----中元素0的代数余子式的值,求实数x的取值范围.20. (本题满分14分,第1小题满分7分,第2小题满分7分)为了研究某种癌细胞的繁殖规律和一种新型抗癌药物的作用,将癌细胞注入一只小白鼠体内进行实验,经检测,癌细胞的繁殖规律与天数的关系如下表.已知这种癌细胞在小白鼠体内的个数超过810时小白鼠将会死亡,注射这种抗癌药物可杀死其体内癌细胞的98%.天数t 1 2 3 4 5 6 7 …癌细胞个数N1 2 4 8 16 32 64 … (1)要使小白鼠在实验中不死亡,第一次最迟应在第几天注射该种药物?(精确到1天) (2)若在第10天,第20天,第30天,……给小白鼠注射这种药物,问第38天小白鼠是否仍然存活?请说明理由.21. (本题满分14分,第1小题满分6分,第2小题满分8分)已知()3cos (0)f x x x ωωω=+>.(1)若()(0)2y f x πθθ=+<<是周期为π的偶函数,求ω和θ的值; (2)()(3)g x f x =在( )23ππ-,上是增函数,求ω的最大值;并求此时()g x 在[0 ]π,上的取值范围.22. (本题满分16分,第1小题满分4分,第2小题满分6分,第3小题满分6分)设等比数列}{n a 的前n 项和为n S ,已知*122()n n a S n N +=+∈. (1)求数列}{n a 的通项公式;(2)在n a 与1n a +之间插入n 个数,使这2n +个数组成公差为n d 的等差数列(如:在1a 与2a 之间插入1个数构成第一个等差数列,其公差为1d ;在2a 与3a 之间插入2个数构成第二个等差数列,其公差为2d ,…以此类推),设第n 个等差数列的和是n A . 是否存在一个关于n 的多项式()g n ,使得()n n A g n d =对任意*n N ∈恒成立?若存在,求出这个多项式;若不存在,请说明理由;(3)对于(2)中的数列123n d d d d ,,,,,,这个数列中是否存在不同的三项m k p d d d ,,(其中正整数m k p ,,成等差数列)成等比数列,若存在,求出这样的三项;若不存在,说明理由.23. (本题满分18分,第1小题满分5分,第2小题满分5分,第3小题满分8分)已知函数22()(1)(1)(0 )xb f x x a x=-+-∈+∞,,,其中0a b <<.(1)当12a b ==,时,求)(x f 的最小值;(2)若()21m f a ≥-对任意0a b <<恒成立,求实数m 的取值范围;(3)设0k c >、,当22()a k b k c ==+,时,记1()()f x f x =;当22()(2)a k c b k c =+=+,时,记2()()f x f x =. 求证:2124()()()c f x f x k k c +>+.2012年高三年级十三校第一次联考数学(理科)答题纸题号15 1617 18 答案三.解答题2012年高三年级十三校第一次联考数学(理科)答案考试时间:120分钟 满分:150分一、填空题(本大题满分56分)本大题共有14题,每题4分.24. 已知*n N ∈,则n →∞= .1325. 如图,U 是全集,A U B U ⊆⊆,,用集合运算符号 表示图中阴影部分的集合是 .U A B ð26. 函数21()sin cos 22f x x x =+-的最小正周期是 .π27. 若2i +是方程20( )x bx c b c R ++=∈、的根,其中i 是虚数单位,则b c += .128. 若函数12()log a f x x -=在(0 )+∞,上单调递减, 则实数a 的取值范围是 .102a << 29. 图中是一个算法流程图,则输出的 正整数n 的值是 .11(第2题图)30. 设函数212() 0()2log (2) 0x x f x x x ⎧⎪-≤=⎨+>⎪⎩的反函数 为1()y f x -=,若1()4f a -≥,则实数a 的取值范围是 .2[log 6 )+∞,31. 对于任意的实数k ,如果关于x 的方程()f x k =最多有2个不同的实数解,则|()|f x m =(m 为实常数)的不同的实数解的个数最多为 .432. 设函数131()()2x f x x =-的零点*011( )()1x n N n n∈∈+,,则n = .233. 已知数列{}n a 的前n 项和27211n S n pn a =+=,,若112k k a a ++>,则正整数k 的最小值为 .634. 如图,在ABC ∆中,90 6 BAC AB D ∠==,,在斜 边BC 上,且2CD DB =,则AB CD ⋅的值为_____.2435. 设不等式21log (0 1)a x x a a -<>≠且,的解集为M ,若(1 2)M ⊆,,则实数a 的取值范围是.(1 36. 已知函数()2arctan x f x x =+,数列{}n a 满足*111 ()()()402312n n n a a f a f n N a +==∈,-,则2012()f a = .24π+37. 设 a b c ,,是平面内互不平行的三个向量,x R ∈,有下列命题: ①方程20(0)ax bx c a ++=≠不可能有两个不同的实数解;②方程20(0)ax bx c a ++=≠有实数解的充要条件是240b a c -⋅≥;③方程22220a x a bx b +⋅+=有唯一的实数解b x a=-; ④方程22220a x a bx b +⋅+=没有实数解.其中真命题有 .(写出所有真命题的序号) ①④二、选择题(本大题满分20分)本大题共有4题,每题5分. 38. 已知a R ∈,不等式31x x a-≥+的解集为P,且2P -∉,则a 的取值范围是 ( D )A.3a >-B.32a -<<C.2a >或3a <-D.2a ≥或3a <-39. 设角()2kkZ παβπ≠+∈、,则“()4n n Z παβπ+=+∈”是“(1tan )(1tan )2αβ++=”成立的 ( C )A.充分非必要条件B.必要非充分条件C.充要条件D.既非充分也非必要条件40. 对于复数 a b c d 、、、,若集合{ }S a b c d =,,,具有性质:“对任意 x y S ∈,,都有DABC(第11题图)M BA图1 图2xy S∈”,则当2211abc b=⎧⎪=⎨=⎪⎩时,b c++的值是( B )A.1B.1- C.i D.i-41.下图展示了一个由区间(0 1),到实数集R的对应过程:区间(0 1),中的实数m对应数轴上(线段AB)的点M(如图1);将线段AB围成一个圆,使两端点A B、恰好重合(如图2);再将这个圆放在平面直角坐标系中,使其圆心在y轴上;点A的坐标为(0 1),(如图3),当点M从A到B是逆时针运动时,图3中直线AM与x轴交于点( 0)N n,,按此对应法则确定的函数使得m与n对应,即()f m n=.对于这个函数()y f x=,有下列命题:①1()14f=-;②()f x的图像关于1( 0)2,对称;③若()f x=,则56x=;④()f x在(0 1),上单调递增.其中正是( D )A.1 B.2 C.3 D.4三、解答题(本大题共5小题,满分74分)42.(本题满分12分)已知矩阵||5||1xx+⎛⎫⎪+⎝的某个列向量的模不大于行列式211203423----中元素0的代数余子式的值,求实数x的取值范围.解:行列式211203423----中元素0的代数余子式是21243=……………………………4分依题意,显然列向量||5||1xxa+⎛⎫⎪+= ⎪⎪⎝⎭的模不大于2,即||52||1xx+≤+,………………………8分解得3x≥或3x≤-∴满足条件的实数x的取值范围是(3][3)-∞-+∞,, (12)分43.(本题满分14分,第1小题满分7分,第2小题满分7分)为了研究某种癌细胞的繁殖规律和一种新型抗癌药物的作用,将癌细胞注入一只小白鼠体内进行实验,经检测,癌细胞的繁殖规律与天数的关系如下表.已知这种癌细胞在小白鼠体内的个数超过810时小白鼠将会死亡,注射这种抗癌药物可杀死其体内癌细胞的98%.天数t 1 2 3 4 5 6 7 …癌细胞个数N1 2 4 8 16 32 64 … (1)要使小白鼠在实验中不死亡,第一次最迟应在第几天注射该种药物?(精确到1天) (2)若在第10天,第20天,第30天,……给小白鼠注射这种药物,问第38天小白鼠是否仍然存活?请说明理由.解:(1)依题意,18210t -≤……………………………………………………………………2分 ∴82log 10127.58t ≤+≈………………………………………………………………………5分即第一次最迟应在第27天注射该种药物. ……………………………………………………7分(2)设第n 次注射药物后小白鼠体内的这种癌细胞个数为n a ,则912(198%)a =-,且1012(198%)n n a a +=-,∴1012(198%)n nn a -=- (10)分于是1031332(198%)a ⨯-=-,即第3次注射后小白鼠体内的这种癌细胞个数为3232100,……12分到第38天小白鼠体内的这种癌细胞个数为32878322 1.11010100⨯≈⨯<……………………14分∴第38天小白鼠仍然存活.(注:列举法求解的也行,请按步骤评分) 44. (本题满分14分,第1小题满分6分,第2小题满分8分)已知()3cos (0)f x x x ωωω+>.(1)若()(0)2y f x πθθ=+<<是周期为π的偶函数,求ω和θ的值; (2)()(3)g x f x =在( )23ππ-,上是增函数,求ω的最大值;并求此时()g x 在[0 ]π,上的取值范围.解:(1)∵())(0)3f x x πωω=+>,∴())3f x x πθωωθ+=++…………1分又()y f x θ=+是最小正周期为π的偶函数 ∴2ππω=,即2ω=, (3)分 且232k ππθπ+=+,即()212k k Z ππθ=+∈ 注意到02πθ<<,∴1 312πωθ==,为所求;…………………………………………………6分(2)因为()(3))(0)3g x f x x πωω==+>在( )23ππ-,上是增函数,∴453()223239()13223326k k k Z k k πππωπωπππωπω⎧⎧⨯-+≥-≤-+⎪⎪⇒∈⎨⎨⨯+≤+≤+⎪⎪⎩⎩,…………………………………9分又0ω>,∴450153912121206k k k ⎧-+>⎪⇒-<<⎨+>⎪⎩,∴0k =于是106ω<≤,即ω的最大值为61, (12)分此时,()3sin()23x g x π=+,510sin()1()3236223x x x g x πππππ≤≤⇒≤+≤⇒≤+≤⇒∈ (14)分45. (本题满分16分,第1小题满分4分,第2小题满分6分,第3小题满分6分)设等比数列}{n a 的前n 项和为n S ,已知*122()n n a S n N +=+∈.(1)求数列}{n a 的通项公式;(2)在n a 与1n a +之间插入n 个数,使这2n +个数组成公差为n d 的等差数列(如:在1a 与2a 之间插入1个数构成第一个等差数列,其公差为1d ;在2a 与3a 之间插入2个数构成第二个等差数列,其公差为2d ,…以此类推),设第n 个等差数列的和是n A . 是否存在一个关于n 的多项式()g n ,使得()n n A g n d =对任意*n N ∈恒成立?若存在,求出这个多项式;若不存在,请说明理由;(3)对于(2)中的数列123n d d d d ,,,,,,这个数列中是否存在不同的三项m k p d d d ,,(其中正整数m k p ,,成等差数列)成等比数列,若存在,求出这样的三项;若不存在,说明理由. 解:(1)设11n n a a q -=,由)(22*1N n S a n n ∈+=+知,112111222()2a q a a q a a q =+⎧⎨=++⎩, (2)分 解得{123a q ==, ∴123n na -=⨯ (4)分(2)依题意,1123234311n n n n d n n --⨯-⨯⨯==++;11(2323)(2)4(2)32n n n n n A n --⨯+⨯+==+⨯ 要使()n n A g n d =,则11434(2)3()1n n n g n n --⨯+⨯=⨯+,…………………………………8分∴2()(2)(1)32g n n n n n =+⨯+=++,即存在2()32g n n n =++满足条件;………10分 (3)对于(2)中的数列{}n d ,若存在不同的三项m k p d d d ,,(其中正整数m k p ,,成等差数列)成等比数列,则2km p d d d =,即1112434343()111k m p k m p ---⨯⨯⨯=⋅+++ ∵2k m p=+①, ∴2111()111k m p =⋅+++,即2k mp=② (14)分由①②可得m k p ==,与m k p d d d ,,是不同的三项矛盾,∴不存在不同的三项m k p d d d ,,(其中正整数m k p ,,成等差数列)成等比数列. ……16分46. (本题满分18分,第1小题满分5分,第2小题满分5分,第3小题满分8分)已知函数22()(1)(1)(0 )xb f x x a x=-+-∈+∞,,,其中0a b <<. (1)当12a b ==,时,求)(x f 的最小值;(2)若()21m f a ≥-对任意0a b <<恒成立,求实数m 的取值范围;(3)设0k c >、,当22()a k b k c ==+,时,记1()()f x f x =;当22()(2)a k c b k c =+=+,时,记2()()f x f x =. 求证:2124()()()c f x f x k k c +>+. 解:(1)当12a b ==,时,22222()(1)(1)(1)3f x x x x x=-+-=+-- (1)分令2(0)t x x x=+>,则t ≥,当且仅当2=x 时,22=t ,…3分此时函数2()(1)3g t t =--在)t ∈+∞上单调递增, ∴2min ()1)36f x f ==-=- (5)分(2)∵0a b <<,∴1b a>,2()21(1)12m m b f a a ≥-⇔-+≥对任意0a b <<恒成立, (6)分 令b t a=,则1t >,函数2(1)1y t =-+在(1 )+∞,上单调递增,∴2(1)11y t =-+>,……8分∴12m ≥,解得0m ≤………………………………………………………………………………10分(3)先证:对于(0 )x ∈+∞,,()f x f ≥2222()(1)(1)(1)1(0)x b x b b f x x a x a x a=-+-=+--+>,………………………………………11分令xba x t +=,则t ≥ab x =时取等号,且1>函数22()(1)1b g t t a =--+,在[)+∞上单调递增,∴()f x g f ≥=……14分∴当22()a k b k c ==+,时,2122()()[()]c f x f x f k k c k=≥+= 当22()(2)a k c b k c =+=+,时,2222()()[()(2)]()c f x f x f k c k c k c =≥++=+ 显然上述两个等号不同时成立, ∴2221222224()()()()c c c f x f x k k c k k c +>+>++………………………………………………………18分。
上海市十二校高三数学12月联考试题 理 沪教版
2013学年第一学期十二校联考高三数学(理)考试试卷一、填空题 (本大题满分56分,每题4分)1.已知全集U {}5,4,3,2,1=,A {}3,1=,B {}4,3,2=,那么=⋃)(B C A U __. 2.函数)12arcsin(-=x y 的定义域为 .3.若数列{}n a 满足:111,2()n n a a a n N *+==∈,则前6项的和6S = .(用数字作答) 4. 计算:2(1)(13)lim(2)(1)n n n n n n →∞+-=-++________.5.集合{}12-<<=x x A ,{}0<-=a x x B ,若B A ⊆,则实数a 的取值范围是 . 6. 设()887872x a x a x -=++…10a x a +,则87a a ++…0a += .7. 已知函数)(x f 有反函数)(1x f -,且[),,0,24)(1+∞∈-=+x x f x x则=-)0(1f . 8. 已知袋中有大小相同的红球和白球若干个,其中红、白球个数的比为4:3.假设从袋中任取2个球,取到的都是红球的概率为413.那么袋中的红球有 __个. 9. 已知函数32tansin )(x xx x f ++=,)1,1(-∈x ,则满足不等式0)12()1(<-+-a f a f 的实数a 的取值范围是 .10. 已知x 是7,6,5,,3,2,1x 这7个数据的中位数,且y x -,,2,12这四个数据的平均数为1,则xy 1-的最小值为 . 11.设ω>0,若函数)(x f = sin 2x ω cos 2x ω 在区间[-3π,4π]上单调递增,则ω的范围是_____________.12. 设正项数列}{n a 的前n 项和是n S ,若}{n a 和}{n S 都是等差数列,且公差相等,则1a =_______________.13.函数)(x f y =的图像与直线b x a x ==,及x 轴所围成图形的面积称为函数)(x f 在[]b a ,上的面积,已知函数nx y sin =在⎥⎦⎤⎢⎣⎡n π,0上的面积为)(2*∈N n n,则函数1)3sin(+-=πx y 在⎥⎦⎤⎢⎣⎡34,3ππ上的面积为 .14.(理)函数)(x f 的定义域为A ,若A x x ∈21,且)()(21x f x f =时总有21x x =,则称PD)(x f 为单函数,例如,函数)(12)(R x x x f ∈+=是单函数.下列命题:①函数)()(2R x x x f ∈=是单函数;②指数函数)(2)(R x x f x∈=是单函数;③若)(x f 为单函数,A x x ∈21,且21x x ≠,则)()(21x f x f ≠; ④在定义域上具有单调性的函数一定是单函数;⑤若)(x f 为单函数,则函数)(x f 在定义域上具有单调性。
上海市十二校高三数学上学期12月联考试题 理 沪教版
2012-2013学年上海市十二校高三(上)12月联考数学试卷(理科)一、填空题(本大题满分56分)本大题共有14题,考生应在答题纸相应编号的空格内直接填写结果,每个空格填对得4分,否则一律得零分.1.(4分)(2012•黄浦区二模)函数f(x)=的定义域为(﹣,+∞).∴x>﹣的定义域为(﹣,+∞),+∞)2.(4分)已知角θ的终边过点P(﹣3,4),则sinθ+cosθ的值为.=,=+(﹣故答案为:.3.(4分)(2010•徐汇区二模)设集合,则A∪B={x|﹣1≤x<2}4.(4分)(2012•黄浦区二模)若π≤x≤,则方程2sinx+1=0的解x= .sin=≤x≤+故答案为:5.(4分)已知函数f(x)=ax2+(b﹣3)x+3,x∈[2a﹣3,4﹣a]是偶函数,则a+b= 2 .6.(4分)已知幂函数y=f(x)存在反函数,若其反函数的图象经过点(,9),则的值是 2 .,)),∴,即=,=27.(4分)若等差数列{a n}满足a n+1+a n=4n﹣3(n∈N*).则a1的值为﹣.﹣8.(4分)(2006•天津)某公司一年购买某种货物400吨,每次都购买x吨,运费为4万元/次,一年的总存储费用为4x万元,要使一年的总运费与总存储费用之和最小,则x= 20 吨.则需要购买次,运费为万元,=160当且仅当9.(4分)函数(x∈[0,π])的值域是.)∈﹣,解:∵函数sinx﹣),∴x﹣∈﹣,﹣,)∈10.(4分)(2009•浦东新区一模)已知数列{a n}是等比数列,其前n项和为S n,若S2=12,S 3=a1﹣6,则= 16 .即可求出q=;所以=11.(4分)若存在实数x∈[1,2]满足2x2﹣ax+2>0,则实数a的取值范围是(﹣∞,5).12.(4分)在平面直角坐标系xOy中,函数f(x)=k(x﹣1)(k>1)的图象与x轴交于点A,它的反函数y=f﹣1(x)的图象与y轴交于点B,并且这两个函数的图象交于点P.若四边形OAPB的面积是3,则k= .,所以)得:故答案为13.(4分)(2011•浦东新区三模)已知数列{a n}是以3为公差的等差数列,S n是其前n项和,若S10是数列{S n}中的唯一最小项,则数列{a n}的首项a1的取值范围是(﹣30,﹣27).=n=n==<1014.(4分)(2012•松江区三模)对于定义域和值域均为[0,1]的函数f(x),定义f1(x)=f(x),f2(x)=f(f1(x)),…,f n(x)=f(f n﹣1(x)),n=1,2,3,….满足f n(x)=x的点x∈[0,1]称为f的n阶周期点.设则f的n阶周期点的个数是2n.]∈(]∈(,x=∈(,∈(x=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.考生必须在答题纸的相应编号上,将代表答案的小方格涂黑,选对得5分,否则一律得零分.16.(5分)函数的图象如图所示,则y 的表达式为()..C..=﹣,再由ω=<=﹣,=×2+,﹣<)17.(5分)若,则该数列的前2012项=,则﹣﹣=18.(5分)(2009•海淀区一模)对于数列{a n},若存在常数M,使得对任意n∈N*,a n与a n+1三、解答题(本大题满分74分)本大题共有5题,解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19.(12分)已知,且,A∪B=R,(1)求A;(2)实数a+b的值.)由分式不等式的解法,解>)根据题意,>,)∪(,+∞))可得20.(14分)在△ABC中,角A、B、C所对的边分别为a、b、c,且(1)求tanC的值;(2)若△ABC最长的边为1,求b.)由,得到)∵cosB=sinB=∴tanB=﹣,∴C=135°,∴sinC=21.(14分)若函数f(x)在定义域D内某区间I上是增函数,而在I上是减函数,则称y=f(x)在I上是“弱增函数”(1)请分别判断f(x)=x+4,g(x)=x2+4x+2在x∈(1,2)是否是“弱增函数”,并简要说明理由.(2)若函数(θ、b是常数)在(0,1]上是“弱增函数”,请求出θ及正数b应满足的条件.)上是增函数,但在()因为(在(﹣]=且22.(16分)已知(a∈R)的图象关于坐标原点对称(1)求a的值,并求出函数F(x)=f(x)+2x﹣﹣1的零点;(2)若函数在[0,1]内存在零点,求实数b的取值范围(3)设,若不等式f﹣1(x)≤g(x)在上恒成立,求满足条件的最小整数k的值.)函数)在上恒成立,利用基本不等式可求出=时函数在,显然,即23.(18分)已知数列{a n},如果数列{b n}满足满足,则称数列{b n}是数列{a n}的“生成数列”(1)若数列{a n}的通项为a n=n,写出数列{a n}的“生成数列”{b n}的通项公式.(2)若数列{c n}的通项为c n=An+B,(A.、B是常数),试问数列{c n}的“生成数列”{l n}是否是等差数列,请说明理由.(3)已知数列{d n }的通项为,设{d n }的“生成数列”为{p n }.若数列{L n }满足求数列{L n }的前n 项和T n .)),综合:。
上海市十三校高三数学12月联考试题 理 沪教版
上海市十三校2013年高三调研考数学试卷(理科)2013.12 一、填空题(本大题满分56分,每小题4分)1.函数()24|2|xf xx-=+的定义域是___________.2.幂函数)(xfy=的图像经过点)21,4(,则1()4f的值为 .3.已知4cos5α=,则cos()2sin()22tan()cot()2παπαππαα-+-+++=______________.4.计算:2211lim[()]12nnn n n→+∞--++=_________.5.已知二元一次方程组的增广矩阵是421m mm m+⎛⎫⎪⎝⎭,若该方程组无解,则实数m的值为___________.6.已知流程图如图所示,为使输出的b值为16,则判断框内①处可以填数字.(填入一个满足要求的数字即可)7.已知x y R+∈、,且41x y+=,求19x y+的最小值.某同学做如下解答:因为x y R+∈、,所以1424x y xy=+≥1992x y xy+≥┄②,①⨯②得19924224xyx y xy+≥=,所以19x y+的最小值为24。
判断该同学解答是否正确,若不正确,请在以下空格内填写正确的最小值;若正确,请在以下空格内填写取得最小值时x、y的值. .8.等差数列{}n a中,1102,15a S==,记2482nnB a a a a=++++L,则当n=____时,nB 取得最大值.9.函数()()xxy2arccos1arcsin+-=的值域是 .10.设正数数列{}n a的前n项和是n S,若{}n a和{n S}都是等差数列,且公差相等,则=+d a 1__ _.11.已知函数()()2318,3133,3x tx x f x t x x ⎧-+≤⎪=⎨-->⎪⎩,记()()*n a f n n N =∈,若{}n a 是递减数列,则实数t 的取值范围是______________.12.已知()sin 2cos2f x a x b x =+(a ,b 为常数),若对于任意x R ∈都有()5()12f x f π≥,则方程()0f x =在区间[]0,π内的解为 . 13.函数()()g x x R ∈的图像如图所示,关于x 的方程2[()]()230g x m g x m +⋅++=有三个不同的实数解,则m 的取值范围是_______________.14.已知无穷数列{}n a 具有如下性质:①1a 为正整数;②对于任意的正整数n ,当n a 为偶数时,12n n a a +=;当n a 为奇数时,112n n a a ++=.在数列{}n a 中,若当n k ≥时,1n a =,当1n k ≤<时,1n a >(2k ≥,*k N ∈),则首项1a 可取数值的个数为 (用k 表示)二、选择题(本大题满分20分,每小题5分)15.函数22log xy x =+的零点在区间( )内(A )11(,)43(B )12(,)35(C )21(,)52(D )12(,)2316.已知a b 、为实数,命题甲:2ab b >,命题乙:110b a<<,则甲是乙的( )条件(A )充分不必要 (B )必要不充分 (C )充要 (D )非充分非必要17.如图,点P 在边长为1的正方形的边上运动,M 是CD 的中点, 则当P 沿A B C M ---运动时,点P 经过的路程x 与APM ∆的面积y 的函数()y f x =的图像的形状大致是下图中的( ). 2.521yx2.521yx2.52yx12.52yx(A ) (B ) (C ) (D )18.集合()*{,,S x y z x y z N =∈、、,且x y z <<、y z x <<、z x y <<恰有一个成立},若(),,x y z S ∈且(),,z w x S ∈,则下列选项正确的是( )MP ADC BOOOO(A )(),,y z w S ∈,(),,x y w S ∉ (B )(),,y z w S ∈,(),,x y w S ∈ (C )(),,y z w S ∉,(),,x y w S ∈ (D )(),,y z w S ∉,(),,x y w S ∉ 三、解答题(本大题满分74分) 19.(本题满分12分,第一小题满分4分,第二小题满分8分)已知集合21|1,1x A x x R x -⎧⎫=≤∈⎨⎬+⎩⎭,集合{}1,B x x a x R =-≤∈. (1)求集合A ;(2)若R B A B =I ð,求实数a 的取值范围.20.(本题满分14分,第一小题满分7分,第二小题满分7分)行列式cos 2sin 01cos A A x A x x()0A >按第一列展开得1121312M M -+,记函数()1121f x M M =+,且()f x 的最大值是4.(1)求A ;(2)将函数()y f x =的图像向左平移12π个单位,再将所得图像上各点的横坐标扩大为原来的2倍,纵坐标不变,得到函数()y g x =的图像,求()g x 在11,1212ππ⎛⎫- ⎪⎝⎭上的值域. 21.(本题满分14分,第一小题满分6分,第二小题满分8分)钓鱼岛及其附属岛屿是中国固有领土,如图:点A 、B 、C 分别表示钓鱼岛、南小岛、黄尾屿,点C 在点A 的北偏东47°方向,点B 在点C 的南偏西36°方向,点B 在点A 的南偏东79°方向,且A 、B 两点的距离约为3海里。
上海市十三校2012届高三第二次联考_物理试题
上海十三校2012届高三第二次联考物理试题全卷满分150分。
考试时间120分钟。
第I卷(共56分)一、单项选择题(共16分,每小题2分。
每小题只有一个正确选项)1.关于温度,下列说法中正确的是()A.温度升高1℃,也可以说温度升高1KB.温度由摄氏温度t升至2t,对应的热力学温度便由T升至2TC.绝对零度就是当一定质量的气体体积为零时,用实验方法测出的温度D.随着人类制冷技术的不断提高,总有一天绝对零度会达到2.下列能源中属于二次能源的是()A.石油B.电能C.煤炭D.核能3.下列说法中正确的是()A.在天空中呈现暗红色的恒星的温度比呈现白色的恒星的温度高B.太阳发出的光和热来自于太阳上碳、氧等物质的燃烧C.太阳系中距离太阳越近的行星,公转速度越小D.由于光速有限,因此观察遥远的天体就等于在观察宇宙的过去4.二十世纪初,为了研究物质内部的结构,物理学家做了大量的实验,揭示了原子内部的结构。
发现了电子、中子和质子,右图是()A.汤姆逊发现电子的实验装置B.卢瑟福发现质子的实验装置C.卢瑟福的a粒子散射实验装置D.查德威克发现中子的实验装置.如图所示是利用光电管产生光电流的电路。
是()A.K为光电管的阳极B.通过灵敏电流计G的电流方向从b到aC.若用黄光照射能产生光电流,则用红光照射也一定能产生光电流D.若用黄光照射能产生光电流,则用紫光照射也一定能产生光电流6.如图为监控汽车安全带使用情况的报警电路,S为汽车启动开关,汽车启动时S闭合。
R T为安全带使用情况检测传感器,驾驶员系好安全带时R T阻值变大。
要求当驾驶员启动汽车但未系安全带时蜂鸣器报警。
则在图中虚线框内应接入的元件是()A.“非”门B.“或”门C.“与”门D.“与非”门7.质点仅在恒力F 的作用下,在xOy 平面内由坐标原点运动到A 点的轨迹如右图所示,经过A 点时速度的方向与x轴平行,则恒力F 的方向可能沿( )A .x 轴正方向B .x 轴负方向C .y 轴正方向D .y 轴负方向8.如图所示,虚线AB 和CD 分别为椭圆的长轴和短轴,相交于O 点,两个等量异种点电荷分别处于椭圆的两个焦点M 、N 上,下列说法中正确的是( )A .A 、B 两处电势、场强均相同B .C 、D 两处电势、场强均相同C .在虚线AB 上O 点的场强最大D .带正电的试探电荷在O 处的电势能小于在B 处的电势能二、单项选择题(共24分,每小题3分。
上海市十二校2013届高三12月联考历史试题
上海市十二校2012-2013学年第一学期高三历史考试试卷一、选择题(共75分;第1~30题每题2分,第31~35题每题3分;每题只有一个正确的选项。
)1、汉穆拉比于公元前1792年成为古巴比伦王国的国王应该是在( )A.公元前17世纪初期 B.公元前17世纪末期 C.公元前18世纪初期 D.公元前18世纪末期2、有一批旅游者从杂志上看到一幅建筑物的图片(右图),激起了他们的兴A.印度 B.埃及 C.希腊 D.伊拉克3、“原本显然是刹帝利阶级登极动作,英雄主义与战争的作品,在婆罗门的手中则变成了教诲民众关于伦理法典、道德观念以及涅槃之类的工具。
”——【美】威尔·杜兰《世界文明史·东方的遗产》。
上述材料评价的作品应是( )A.《摩柯婆罗多》 B.《汉穆拉比法典》 C.《吉尔伽美什》 D.《荷马史诗》4、“当时释迦牟尼佛在舍卫国,和大弟子及追随者一千二百五十人在一起……”;“耶稣的母亲玛利亚已经许配了约瑟,还没有迎娶玛利亚就从圣灵怀了孕……”;“奉至仁至慈的真主之名,一切赞颂,全归真主……”。
与以上三段文字先后顺序相对应经典分别是( ) A.《大藏经》、《圣经》、《古兰经》 B.《大藏经》、《古兰经》、《圣经》C.《古兰经》、《大藏经》、《圣经》 D.《圣经》、《大藏经》、《古兰经》5、古希腊诗人阿尔凯奥斯说:“不是因为房屋最终在这里建起,或是坚固的城墙在这里伫立,不是运河或码头让城邦成为城邦,而是这里的人们能使用他们的机会。
”阿尔凯奥斯所言与某城邦相关,据此可以说明该城邦最大的特点是( )A.城邦林立 B.独立自治 C.民主政治 D.小国寡民6、黑格尔说,欧洲人只要一提到希腊就自然而然地会产生一种家园之感。
这是因为A.古希腊文化遗产保存完好无损 B.古希腊文化在文艺复兴中得到重生C.古希腊文明是欧洲文明的源头 D.古希腊民主制度是西方民主政治之母7、右图生动地反映了公元前5世纪中期罗马人争相观看和议论某部法律公布时的情景,该法律应属于①习惯法②成文法③公民法④万民法A.①② B.②③ C.②④ D.③④8、《论语·学而》里有“君子务本,本立而道生,孝弟也者,其为仁之本欤。
2013届上海十三校高三第一次联考(2012.12)
2012学年十三校第一次联考物理试卷满分150分,考试时间120分钟。
2012、12考生注意:1.答第I 卷前,考生务必将姓名、准考证号等清楚地填写在答题卷上。
2.答案必须全部填写在答题卷上,涂写在试卷上一律不给分。
一.单项选择题.(共16分,每小題2分,每小题只有一个正确选项。
)1.在国际单位制(SI)中,下列物理量单位属于基本单位的是 ( ) (A )牛顿(N) (B )焦耳(J) (C )摩尔(mol) (D )库仑(C) 2.理想气体微观模型的基本假设是 ( ) (A )只考虑气体分子间的引力作用(B )只考虑气体分子间的斥力作用(C )既考虑气体分子间的引力又考虑分子间的斥力作用 (D )不考虑气体分子本身的大小和相互作用力 3. 下列关于布朗运动的说法中,正确的是 ( ) (A )布朗运动是液体分子的无规则运动 (B )布朗运动是组成悬浮颗粒的固体分子无规则运动的表现(C )布朗运动是由于液体各个部分的温度不同而引起的 (D )布朗运动是由于液体分子从各个方向对悬浮颗粒撞击作用的不平衡引起的 4. 简谐运动中反映物体振动强弱的物理量是 ( ) (A )振幅 (B )位移 (C )周期 (D )频率5.如图所示,在绝缘水平面上静止着两个质量均为m ,电荷量均为+Q 的物体A 和B (A 、B 均可视为质点),它们间的距离为r ,与水平面间的动摩擦因数为μ,则物体A 受到的摩擦力为 ( )(A )μmg (B )0 (C )k Q 2r (D )k Q 2r26.在真空中,将苹果和羽毛同时从同一高度由静止释放,下列频闪照片中符合事实的是 ( )7中的压强p 和体积的倒数1/V 的关系是 ( )8.甲、乙两物体沿同一直线运动,它们的位移—时间图像如图所示,下列说法中正确的是 ( ) (A )0—t 1时间内甲、乙位移相同 (B )t 4以后甲在乙前面 (C )0-t 2时间内甲比乙运动快(D )0—t 5时间内甲乙平均速度相等二.单项选择题.(共24分,每小题3分,每小题只有一个正确选项。
上海市十三校2012届高三第二次联考语文试题
上海十三校2012届高三第二次联考语文试题考生注意:1.答卷前,考生务必将学校、班级、学号、姓名、准考证号等在指定位置填写清楚。
2.本试卷共有27道试题,满分150分,考试时间150分钟。
请考生用黑色水笔将答案直接写在答题卷上。
一、阅读80分(一)阅读下文,完成1-6题。
(18分)新媒体给当代生活带来了什么①1990年代以来,以互联网、数字技术为核心的新媒介迅速发展,深刻地介入、笼罩着我们的当下生活。
早晨起来,网上溜一圈,当日送来的报纸就都是旧闻;好不容易坐定,你要下意识地摸一下手机带没带,看看有没有什么未接电话或者遗漏信息;微博上传了,会时不时刷屏,看有没有人点击、转发……还有,我们网上看到各种各样的资讯,爆出各种官司和花边,造谣辟谣,真真假假忙得不得了,定睛一看,负面消息总是比正面的多。
世界是这样的吗?②久而久之,人们会说,都是新媒体给闹的。
你想逃避却还挣脱不了。
③用加拿大传播学家哈罗德t伊尼斯的理论来说,一种新媒介意味着一个新文明的诞生。
④从表象上看,当今新媒体特征体现为传递速度快、功能变化快、互动强。
无论多大的文件,通过信息高速公路,都能瞬间传递;它非常体贴你、功能不断更新。
祈媒体的互动完全超越了信息“内容”的互动,论坛上的帖子没人顶、微博没人转,就和没发一样,是没有意义的。
所以,在今天这样的时代,“博客皇后”、“微博女王”的出现,由于她宣示了什么,因为有很多人跟帖。
这就带来新媒体的第四个非常明显的特点,因为要大量的跟从者,所以参与进入的门槛降低,网上平民时代来临,主次尊卑秩序彻底改变。
⑤当我们打开视野,从理论和形态上看到这样的变化后,我们也会发现新媒体已经或即将对我们产生的诸多影响。
⑥新媒体改变了日常生活的经济运作模式。
今天最广泛的经济模式不是一单赚很大,而是每单很小,但非常多单。
新媒体依靠扁平、广泛的群体,不断生产简单易耗的消费品,多次反复销售,通过巨量的“微经济”和“微支付”来累积。
上海市十三校高三第二次联考 英语试题
上海十三校2012届高三第二次联考英语试题I.Listening Comprehension (30%)Section A: Short Conversations.l.A.$40.B.$80.C.$14.D.$28 2.A.9:20.B.9:14.C.9:26.D.9:063.A.At a wedding.B.In Florida.C.On a honeymoon.D.At an airport 4.A.Look for another seat.B.Remain standingC.Repeat the question.D.Sit down.5.A.Laura really needs a full-time job.B.Laura already has a job working for the schoolC.Laura should think about becoming a teacher.D.Laura needs to spend her time studying.6.A.Overseas.B.To the bank.C.To the travel agency.D.Anywhere. 7.A.The machine won't be very useful.B.She will show him which piece to use.C.He's putting too much paper in the machine.D.She can't follow the instructions either.8.A.Something happened to her car on her way.B.She was broke and couldn't afford the bus.C.She got up too late to catch up her bus.D.Her car got stuck in her driveway.9.A.Her back hurt during the meeting.B.She agrees that it was a good meeting.C.The proposal should be sent back.D.His support would have helped this morning.10.A.He can get ahead of her in line.B.She is almost done.C.Her copying is unimportant.D.He should use the machine next door.Section B: PassagesQuestions 11 through 13 are based on the following passage.11.A.By taking a school bus.B.By taking a big bowl.C.By taking a jeep.D.By riding a horse.12.A.Taking a school bus.B.Taking a jeep.C.Rowing a big bowl.D.Riding a horse. 13.A.3 minutes.B.5 minutes.C.8 minutes.D.24 minutes. Questions 14 through 16 are bosed on the following passage.14.A.They have drive-in movie theaters.B.They have drive-through restaurantsC.They have driving vacations.D.They have drive washing machines.15.A.In a community center parking lot.B.In a grocery parking lot.C.In a shopping center parking lot.D.In a movie theater parking lot16.A.Not having to pay for hotels or restaurants, only gas.B.Seeing the country in the comfort of their own home.C.Going wherever and whenever they want in their home away from home.D.Spending every night in a different scenic place, or just staying where they are.Section C: Longer conversationsBlanks 17 through 20 are based on the/allowing conversation.Complete the form.Write ONE WORD for each answer.Blanks 21 through 24 are based on the following conversation.Complete the form.Write NO MORE THAN THREE WORDS for each answer.II.Grammar and Vocabulary(25%)Section A: Choose the Best Answer25.Good parents try to be sensitive ___ all their children's needs.A.with B.on C.to D.of 26.—What are you doing, Mike? Be quick.—To be on the safe side, I'd bring some water, for the baby ___ feel thirsty on the way.A.must B.will C.might D.need 27.Understanding the cultural habits of another country, especially ___ containing many different subcultures like the USA, is a difficult thing.A.which B.that C.one D.those 28.The defining issue of our time is how to keep that promise alive.No challenge is ___urgent.A.less B.more C.pretty D.even 29.—Why on earth didn't you answer the phone?—I'm terribly sorry, but the doorbell ____, too,A.is ringing B.rangC.was ringing D.was about to ring30.Shanghai ____ by the cold front starting tomorrow and the mercury could drop to zero.A.will be affected B.will affect C.is affected D.affected 31.The story took place in Europe in the days before automobiles _____ everyone used horses.A.which B.when C.where D.as32.____ his father and stepfather were Muslim, American black president, Barack Obama is Christian.A.When B.Even C.As D.While33.She will tell us why she feels so strongly that each of us has a role _____ in making the earth a better place to live.A.playing B.to play C.played D.to be playing 34.___ dozens of times, the poor college graduate developed a strong fear for job interviews.A.Being refused B.Having refusedC.To be refused D.Refused35.Generally speaking, being hard-working is just ____ it takes you to be successful in your career.A.what B.that C.where D.which36.By no means______to go hiking this weekend.She has too much homework to do.A.will Jane agree B.Jane will agreeC.will agree Jane D.did Jane agree37.I heard that you really had a wonderful time at John's birthday party,_____?A.didn't I B.didn't youC.hadn't you D.did I38.Snowfall has been light in Beijing this winter, but that has not stopped its citizens from fun on ice and snow.A.to have B.having C.had D, being had39.Swan made'a promise to his father ___ he would have himself home early.A.when B.so C.though D.that40.Concert halls around Shanghai will be staging numerous performances ___romance and love for White Valentine's day.A.featured B.to featureC.featuring D.having featuredSection B: Blank FillingIII.Reading Comprehension (50%)A.original B.digital C.physical D.discovered E.gifted F.released G.reported H.refused I.access J.tendHere is a question that every person (even you)should think about what you will leave behind when you die."I'm too young to think about that," you may say.Wrong! Perhaps your mind goes to the_41 assets that you hope to acquire in the future—erhaps a house, a car, or a bank account.Sure, those things may be further down the road, but if you have an email address, own a collection of digital music and movies, use a social networking site, have an online photo album, or write a blog, then you are the proud owner of what is now being called 42 "assets".We all naturally assume that our possession will go to our loved ones when we die, At some point, you'll probably even write a will which states who should inherit what.People are now starting to realizethat simply listing our material possessions may not be enough.Researchers at the University of London recently __43_ that more and more Britons are now deciding who should get their digital photos, music, videos and so on—the "digital inheritance."What about passwords to online accounts? Wouldn't this naturally be__44__ to your next of kin? Absolutely not! Privacy laws around the world__45_to protect the privacy of the deceased over the desire of the family to retrieve their loved one's personal information.A Ms.Wang of Shenyang, China recently discovered this when she tried to__46__ her dead husband's QQ account.Tencent, the operator of QQ, _47__her request based on their terms of use, which states "the right to use an account belongs solely to the _48__ applicant, and this right shall not be _49__, loaned, rented, transferred or sold." Since Ms.Wang's husband had not given her his password before his death, she had no foot to stand on.III.Reading Comprehension(50%)Section A: Cloze TestThink you're good at reading people's expressions? Well, think again.New software is ten per cent better at it than the average person.There's even a device to improve your emotional intelligence.Every time you interact with people, you __50__ unconscious signals that you're following what they're saying.__51__, you might nod to show that you're following or squint (眯眼看)a bit to show that you've lost track.However, we're not very good at interpreting these signals._ 52 we only get it right about half of the time.Now social X-ray glasses can help you__53_ some of these signals better by means of a built-in camera __54__ to software which__55_ facial expressions.The six basic__56_ facial states it recognizes are: thinking, agreeing, concentrating, interested, confused and disagreeing.The device can read 24 'feature points' on a face and __57_ which of these six general facial states is being ___58__.You get the information via an earpiece, which tells you how the listener is responding.There's also a traffic light system displayed on the lens with a red, amber (yellowishbrown)or green light to show that the listener is interested, __59_ interested or not interested.If it shows red, it's time to shut up!The other novelty (something new)is sociometric badges.These are __60__ to provide feedback on how often you're speaking, for how long and who with.Each person is represented by a dot, which is larger if you're talkative and smaller if not.If you speak in a monologue the dot will turn red, but if it's a dialogue it turns white.The interaction between speakers is represented by lines between them, so a thick line if two people speak a lot to each other and very thin if they __61__ speak.The information is sent wirelessly to any device that can display it graphically.In one experiment, 62__ some of the speakers started with very different dots, by the end of the experiment all the dots were more or less the same size and color, 63_ that people had changed their behavior and made the interaction more even.Think how differently our interactions with people could be if we could read their 64__ to what we're saying with x-ray specs and track how well we work as a group with a sociometric badge! It's early days, but these devices may well transform how we interact with each other in the future.50.A.give off B.pick up C.respond to D.take back51.A.In comparison with B.For exampleC.In conclusion D.After all52.A.In general B.Above all C.In addition D.In fact53.A.interpret B.display C.make D.send54.A.stuck B.objected C.linked D.seen55.A.finds B.analyses C.demands D.develops 56.A.special B.understandable C.emotional D.visible 57.A.understand B.see C.read D.identify 58.A.expressed B.assessed C.covered D.used 59.A.greatly B.exactly C.specially D.moderately 60.A.reported B.encouraged C.designed D.given 61.A.emotionally B.barely C.softly D.excitedly 62.A.although B.when C.unless D.if63.A.aiming B.referring C.signing D.indicating 64.A.reflections B.impressions C.reactions D.sensationsSection B: ReadingAI had the meanest mother in the world.While other kids ate candy for breakfast, I had to have cereal, eggs and toast.Others had cokes and candy for lunch, while we had to eat a sandwich.As you can guess, my supper was different than the other kids'.But at least I was not alone in my suffering.My sister and two brothers had the same mean mother as I did.My mother insisted on knowing where we were at all times.She had to know who our friends were and what we were doing.We had to wear clean clothes every day.Other kids always wore their clothes for days.We reached the height of disgrace because she made our clothes herself, just to save money.The worst is yet to come.We had to be in bed by 9:00 each night and up at 7:45 the next morning.So while my friends slept, my mother actually had the courage to break Child Labor Law, She made us work.I believed she lay awake all night thinking up mean things to do to us.Through the years, our friends' report cards had beautiful colors on them, black for passing, red for failing.My mother, however, would merely be content with black marks.None of us was allowed the pleasure of being a dropout.She forced us to grow up into educated and honest adults.Using this as a background, I'm now trying to bring up my three children.I'm filled with pride when my children think I am mean because now I thank God every day for giving me the meanest mother in the world.65.From the passage we can learn that the writer's mother was ______,A.not generous at allB.very strict with her childrenC.very mean with money mattersD.very cruel to her children66.Which of the following things did the writer hate to do most?A.Eating differently from other kids.B.Wearing clean clothes made by motherC.Going to bed early and getting up earlyD.Letting mother know where they were67.It can be inferred from the passage that_______.A.the writer worked hard and got good grades in studiesB.mother was punished for breaking the Labor LawC.all the other kids studied better than the writerD.the writer's family lived a miserable life68.The passage was written in a way of____ tone.A.hateful B.ridiculousC.critical D.humorousBHEALTH TIPS FOR THE FALL SEASONWith autumn coming, the weather becomes cooler and drier. According to traditional Chinese medicine(TCM), pathogenic dryness affecting the lungs, skin and digestive system.Many people experience dry flaking skin, dry nasal cavity, frequent nose bleeds, sore throat, coughing and constipation, if they fail to take enough fluids.Here's a look at some foods that can help nourish and moisten vulnerable areas of the body.69.What is the best autumn health food above that you can choose if you are afraid of putting on too much weight?A.Yellow wine.B.Yam.C.Sesame. D.Pear.70.____ is recommended by the doctor if people are taking chemotherapy and radiotherapy A.Yam B.Sesame C.White fungus D.Lotus roots 71.What can we infer from the above article recommended by the doctor?A.All the food recommended by the doctor is good for our health.B.We can eat as much pear as we can because it is good for health.C.We should not eat too much sesame if we suffer from toothaches.D.We should make a wise choice according to the state of health.CThe Artist and LightPainters use their unique qualities of perception to create visually stimulating images, whetherrealistic or abstract.The way in which Vincent Van Gogh portrayed a starry sky or Claude Monet created a landscape resulted in part from the way each of their minds responded to information conveyed by their eyes.Similarly, viewers of art use their eyes and minds to interpret paintings, forming their own ideas and opinions.Understanding the mechanics of vision is a starting point for understanding how art is created and appreciated.Sight is a complex sense.The process of seeing begins when light rays pass through the lens at the front of the eye.The lens focuses the light to form an inverted image on the retina, the back surface of the eyeball.The retina contains two different kinds of light-sensitive cells called rods and cones.More than 100 million rods and cones cover the retina.These rods and cones convert light into neural, or nerve, impulses.The neural impulses travel to the brain, which converts them to a mental image.Light is a form of energy that has wavelike properties.The color of an object is determined by the wavelength of the light that the object reflects.Although there are just seven base colors, the human eye is capable of detecting up to 10 million shades of color.In an attempt to understand more about how vision works, psychologist G.T.Buswell examined people's eyes while they viewed works of art.He was able to show that a person's gaze will follow the most distinctive line, whether straight or curved, in a work of art.In his experiment, Buswell used The Great Wave off Kanagawa, a 19th century woodblock print by me Japanese artist Hokusai.Buswell found that eyes spent the most consecutive (连贯的)moments following curve of the wave.These results revealed that the eye and brain do not work like copying machines.Rather, they choose selective on the basis of interest and intelligence what to focus on.Scientists are trying to understand the psychological connection between vision and emotional responses.They have shown that the color yellow or red can raise a person's blood pressure.Shades of blue, on the other hand, have been shown to lower blood pressure.Therefore, a painter can create a certain mood by emphasizing certain colors.Likewise, creators of advertisements can use colors to manipulate the emotions of consumers.72.From the research by G.T.Buswell, one can understand that a person looking at a painting tends to ______.A.concentrate on the painting as a wholeB.form opinions based on how realistic the painting isC.form image according to straight or curved patternsD.focus on one part of the painting73.What can we infer from the article that people who lead stressful lives might want to consider painting their bedroom _____ ?A.light blue B.red C.bright yellow D.orange74.The underlined word “manipulate” most probably means ______.A.control or influence B.express or releaseC.arouse or cause D.allow or permit75.From the article, one can conclude that the eye would be most likely to focus on which part of a moving train.A.the curve and wave of the train B.the tram tracksC.thin, wispy clouds in the sky D.grass beside the tracksSection C: Choose the Best Heading (Notice: there is one extra.)A.Predicting the weather in summerB.When weather forecasting startedC.Weather forecasting nowD.What a red sky means in the UKE.A big mistake in forecasting in the UKF.The spread of the weather forecastingWeather forecasting as a science is only 150 years old, but who started weather forecasts and how are they different today?76.Robert FitzRoy was an amateur forecaster who started the UK's Meteorology Officers first forecast in August 1861 in the Times newspaper was short but accurate.The first TV forecast in the UK was in 1936, but the biggest change was in the 1950s when they started to use weathermen and women and magnetic sun and clouds to place on the map.Now we have satellite pictures of the weather all over the world.None of this would be possible without Robert Fitzroy.77.But sometimes forecasters get it wrong.There is a very famous case m the UK, where on 15 October 1987 the forecaster predicted that a hurricane in the US would not affect the UK.But the south-east of England then had its worst storm for nearly 300 years.78.Before meteorology, people used common knowledge to predict the weather.‘Red sky at night- shepherd's delight, red sky in the morning; shepherd's warning.’ is a common saying.It is fairly accurate in the UK, because a red sky in the west, where the sun sets, means good weather, but a red sky in the morning means the sun is reflecting off the rain clouds.This means there will probably be rain, which is bad weather for shepherds.79.Several European countries have a saying predicting summer weather.For example in England we say if it rains on St Swithun's Day (15 July)there'll be rain for the next 50 days, but if it is doesn't rain then it'll be dry for the same time.Summer weather patterns start in the first half of July and usually continue for the next few weeks, so this is true about75% of the time.In France they have a similar saying about rain on St.Gervais.day (19 July)and in Germany the weather on 'seven sleepers' day (7 July)predicts the weather for the following seven weeks.80.Nowadays supercomputers receive millions of bits of information about the weather 24 hours a day, but it is still difficult to predict the weather because of the famous ‘butterfly effect’. This means if there is a small change in the air movement in one part of the world, for example a butterfly flapping its wings in China, it might cause a storm in the US.So two and three-day foists are much more reliable than five-day forecasts: those extra few days are enough for the weather to develop in a completely different way.Section D: Q&A (Notice: No more than 15 words for each answer)Many people are nervous before they take a test.But some people are so consumed by anxiety that they-actually defeat themselves, performing poorly on the exam even when they know the material they are being tested on.Recently some researchers say they've developed a way to help people with extreme test-taking anxiety to relax before their exams.The technique involves having test-takers write down their fears, and that simple exercise results in a dramatic improvement in test scores.Why students become so nervous that they are unable to perform in a test-taking situation? Before a test, they start worrying about the consequences.They might even start worrying about whether the exam is going to prevent them from getting into the college they want.And when people worry, it actually uses up attention and memory resources that could otherwise be used to focus on the exam.In a series of laboratory experiments, a group of 20 anxious college students was given a short math test and told to do their best.Afterwards, the students were either asked to sit quietly before taking the test again or to write about their thoughts and fears regarding the upcoming re-test.Researchers created a stressful testing environment, telling the students they would receive money if they did well on the second test.The group of students who sat quietly before retaking the second math test scored worse, their accuracy dropping by 12 percent on the second test.But students who wrote about their fears immediately before the re-test showed an average five percent improvement in accuracy on the second math test.What the researchers showed is that for students who are highly test-anxious, who'd done the writing intervention, all of a sudden there was no relationship between test anxiety and performance.These students who most.tended to worry were performing just as well as their classmates who don't normally get nervous in these testing situations.It is suggested that even if a professor doesn't allow students to write about their worst fears immediately before an exam or presentation, students should try it themselves at home or in fee library and still improve their performance.81.How do the researchers relax people with test-taking anxiety?82.Why do students become nervous when taking an exam?83.A series of laboratory experiments made by researchers show that .84.What is the best title of the passage?Part TwoI.Translation (20%)Directions: Translate the following sentences into English, using the words given in the brackets.1.放心吧,我不会让你失望的。
上海市十二校高三12月联考(全科10套)上海市十二校高三12月联考英语试题
学校:周浦中学学校:曹杨中学第I卷(共103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. $100. B. $40. C. $20. D. $60.2. A. Go to see a movie. B. Leave for Chicago.C. Meet her aunt at the station.D. Prepare a party.3. A. She doesn’t have any time. B. It doesn’t bother her to wait.C. She’s never had to wait before.D. She hasn’t seen anyone at all.4. A. History. B. Mathematics. C. Literature. D. Politics.5. A. She is only too pleased to come. B. She was an excellent mountain-climber.C. She didn’t go in for mountaineering.D. She was too busy to come.6. A. Read an article on political science. B. Read more than one article.C. Present a different theory to the class.D. Choose a better article to read.7. A. Place another order. B. Call on to check on it.C. Wait patiently.D. Go and find the furniture.8. A. She regards it as an exercise. B. She wants to save money.C. She loves doing anything that is new.D. Her office isn’t very far.9. A. At home. B. At the riverside.C. At the health center.D. At his office.10. A. He needs to find a new job. B. He can’t find his keys.C. His car needs to be repaired.D. He doesn’t know where his keys are.Section BDirections: In Section B, you will hear two short passages, and you will be asked three questions on each of the passages. 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 13 are based on the following passage.11. A. The doctor was not very experienced.B. The doctor hadn’t seen the medical reports.C. The patient didn’t work well with the doctor.D. The patient was misunderstood by the doctor.12. A. The doctor treated her with the help of her previous doctors.B. The doctor always listened to her and believed her.C. The doctor treated her as a hopeless patient.D. The doctor treated her with strong medicines.13. A. To change her job.B. To keep a closer relationship with her family.C. To send him a note every day.D. To get married.Questions 14 through 16 are based on the following passage.14. A. A piece of equipment.B. The workbook of the laboratory course.C. The framework of the laboratory course.D. One experiment of the laboratory course.15. A. The students must follow the instructions carefully.B. A great deal of equipment is available to all the students.C. Students can make their own choices about the activities.D. Homework must be handed in according to instructions.16. A. The activities are to be done in class.B. The activities take less time than the experiment.C. The students are not required to do the activities.D. Few detailed instructions are given for the activities.Section CDirections: In Section C, you will hear two longer conversations. The conversations will be read twice. After you hear each conversation, you are required to fill in the numbered blanks with the information you hear.Blanks 17 through 20 are based on the following conversation:II. Grammar and VocabularySection ADirections: After reading the passages 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.(A)Learning in ChinaWe can always hear voices comparing the educational systems in China and the US. It’s true that there exist a lot of differences, but this cannot be an excuse (25) ______ having a passive attitude toward studying in China.When I came back from the US last year and continued my senior middle school education in China, I sensed many great differences. I thought that school in China was too hard, and t hat we didn’t do enough fun exercise except running around playgrounds together. I was not patient enough and I couldn’t help but (26)______(cry) to my mom. In short, I (27) ______ not face the changes and the pressure.After a long talk with my mother, I realized that though high school life in China is (28) ______ (hard), it can give us more. The pressure helps us learn the true meaning of competition before we step into society, which gives us a (29) ______ (determine) heart and teaches us to step forward (30) ______ ______ ______ the reality is. It’s like climbing a mountain, which might make you dizzy and nervous, but the top is always there waiting for you as long as you are strong enough (31) ______ (take) one more step.Meanwhile, an easy life is not always good for us. Even some of my American friends call (32)______ “lazy Americans”, because the school in the US is not always easy. When they go to college, they also need to work very hard. We complain mainly because we can’t see the whole pi cture.Sometimes we just simply listen to others’ words without thinking about (33) ______they’re true. We can’t always complain. Instead, we all need to understand that success takes efforts and tears.(B)Science – A way of ThinkingMany scientists, from their earlier work, have enough knowledge to make good guess as to the solution to a problem which (34) ______(work) on. In making new discoveries, they may use the trial-and-error method, they may draw on past experiences, or they may try to find out (35) ______others have discovered. They may design new investigations and new ways of testing their results. Scientists have to train themselves to use their brains efficiently.For example, when Thomas A. Edison was trying to make an electric lamp, he needed the only substance inside the bulb (36) ______would glow brightly without burning up quickly. He tried more than one thousand times (37) ______he found the exact substance he could use. After he had experimented for a long time, someone asked Mr. Ed ison whether he was discouraged at the waste of time. He replied, “I have not been wasting time. I (38)______ (find) one thousand materials that won’t work. Now I can look for others.” Edison’s statement is very important. Above all, scientists demand to k now when and where they are wrong. A good question to ask in science is not “Am I right?” but “Am I wrong?”.Scientists spend many years of study (39) ______ (train) themselves to use their brains and the tools of investigation. They also use each other’s work. Isaac Newton, (40) who is ______ unique British scientist, said he saw further than others because he stood on the shoulders of giants.Section BDirections: Complete the following passage by using the words in the box. Each word can only be usedGrammar is universal and plays a vital part in every language. So the question which has puzzled many linguists is: who created grammar?In order to answer the question of how complex languages are _41_formed, the researcher needs to observe how languages are started from scratch. To find out how grammar is created, someone needs to be present at the time of a language’s creation, documenting its _42_. At first, it seems that this question is impossible to answer. Amazingly, this is possible.Some of the most recent languages _43_due to the Atlantic slave trade, when slaves from a number of different ethnicities were forced to work together under the colonizer’s _44_. Since they had no opportunity to learn each other’s languages, they developed a make-shift language called a pidgin (混杂语). Pidgins are strings of words _45_from the language of the landowner. Interestingly, however, all it takes for a pidgin to become a complex language is for a group of children to be exposed to it at the time when they learn their mother tongue. Slave children did not _46_copy the strings of words uttered by their elders, they _47_their words to create a new language.Further evidence of this can be seen in studying sign languages for the deaf. Previously, all deaf people were isolated from each other, but in 1979 a government introduced schools for the deaf. Although children were taught speech and lip reading in the classroom, in the playgrounds they began to invent their own sign system, which was basically a pidgin. Each child used the signs differently, and there was no _48_grammar. However, when this inventive sign system was already around, a quite different sign language was developed.Therefore it would appear that even the most widespread languages were partly created by children. Children appear to have innate (天生的) grammatical machinery in their brains, which springs to life when they are first trying to make _49_of the world around them. Their minds can serve to create _50_, complex structures, even when there is no existing grammar for them to copy.III. Reading ComprehensionSection ADirections: For each blank in the following passage 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.Ancient Greek philosopher Aristotle viewed laugh ter as “a bodily exercise precious to health.” But _51_some claims to the contrary, laughing quietly probably has little influence on physical fitness. Laughter does _52_short-term changes in the activity of the heart and its blood vessels, boosting heart rate and oxygen consumption. But because hard laughter is difficult to _53_, a good laugh is unlikely to have _54_benefits the way, say, walking or jogging does._55_, instead of stretching muscles tightly to build them, as exercise does, laughter apparently accomplishes the _56_. Studies dating back to the 1930s indicate that laughter57_muscles, decreasing muscle tone for up to 45 minutes after the noisy laugh dies down.Such bodily reaction might imaginably help moderate the effects of psychological stress. After all, the act of laughing probably does give rise to other types of _58_feedback that improve an individual’s emotional state. _59_one classical theory of emotion, our feelings are partially rooted in physical reactions. It was argued at the end of the 19th century that humans do not cry because they are sad but they become sad when the tears begin to flow.Although sadness also comes before tears, evidence suggests that emotions can flow from muscular _60_. In an experiment published in 1988, social psychologist Fritz Strack of the University of würzburg in Germany and his colleagues asked volunteers to _61_a pen either with their teeth – thereby creating an artificial smile –or with their lips, which would cause a(n) _62_expression. Those forced to exercise their smiling muscles _63_more cheerfully to funny cartoons than did those whose mouths were contracted in a frown, _64_that expressions may influence emotions rather than just the other wayaround. _65_, the physical act of laughter could improve mood.51. A. among B. except C. despite D. like52. A. reflect B. demand C. indicate D. produce53. A. release B. maintain C. evaluate D. observe54. A. measurable B. manageable C. affordable D. renewable55. A. In turn B. In fact C. In addition D. In brief56. A. opposite B. reverse C. function D. average57. A. hardens B. weakens C. tightens D. relaxes58. A. physical B. mental C. subconscious D. internal59. A. Owing to B. According to C. Due to D. As for60. A. stimulus B. responses C. reflection D. operation61. A. fetch B. bite C. pick D. hold62. A. disappointed B. excited C. joyful D. funny63. A. alerted B. contributed C. turned D. reacted64. A. suggesting B. requiring C. mentioning D. supposing65. A. Eventually B. Consequently C. Similarly D. CoincidentallySection 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 just read.(A).Working with a group of baboons (狒狒) in the Namibian desert, Dr. Alecia Carter of the Department of Zoology, Cambridge University set baboons learning tasks involving a novel food and a familiar food hidden in a box. Some baboons were given the chance to watch another baboon who already knew how to solve the task, while others had to learn for themselves. To work out how brave or anxious the baboons were, Dr. Carter presented them either with a novel food or a threat in the form of a model of a poisonous snake.She found that personality had a major impact on learning. The braver baboons learnt, but the shy ones did not learn the task although they watched the baboon perform the task of finding the novel food just as long as the brave ones did. In effect, despite being made aware of what to do, they were still too shy to do what the experienced baboon did.The findings may impact how we understand the formation of culture in societies through social learning. If some individuals are unable to get information from others because they don’t associate with the knowledgeable individuals, or they are too shy to use the information once they have it, information may not travel between all group members, preventing the formation of a culture based on social learning.66. What is the first paragraph mainly about?A. The design of Dr. Carter’s research.B. The results of Dr. Carter’s research.C. The p urpose of Dr. Carter’s research.D. The significance of Dr. Carter’s research.67. According to the research, which baboons are more likely to complete a new learning task?A. Those that have more experience.B. Those that can avoid potential risks.C. Those that like to work independently.D. Those that feel anxious about learning.68. Which best illustrates the “mismatch” mentioned in Paragraph 4?A. Some baboons are intelligent but slow in learning.B. Some baboons are shy but active in social activities.C. Some baboons observe others but don’t follow them.D. Some baboons perform new tasks but don’t concentrate.69. Dr. Carter’s findings indicate that our culture might be formed through ______.A. storing informationB. learning from each otherC. understanding different peopleD. travelling between social groups(B).CityCabA Member of COMFORT DELGROComfortable airport & city transfers:MaxiCab (seats 6 passengers)Booking Hotline: +65 6542 8297… or book at the Airport Shuttle counter at Terminal 1 or Terminal 2MaxiCab Service RatesTransfer to Airport/other destination $35Hourly Service (per hour – minimum 2 hours) $35Applicable additional charges:-- Between midnight to 6 am, an additional $12 per transfer or per hour-- For en-route stop to final destination, an additional $5 per stopapply otherwise $20-- Administrative charges of 10% of total fare for all Credit Card paymentsPersonalized tours:SingaporeCabby TourConducted by licensed taxi tourist guidesapproved by the Singapore Tourism Board✓Exclusive private tours in 6-seater MaxiCabs, 4-seater Mercedes LimoCabs and normal cabs ✓ Flexible pick-up times and locations✓ Extension of additional attractions and restaurants upon request.sg70. What taxi services can a tourist to Singapore have according to the passage?a. specially-tailored tours around Singaporeb. transfers between the terminals at the airportc. personalized tours beyond Singapored. transfers between the airport and the citye. hourly private Singapore taxi servicef. airport & city goods deliveryA. a, d, eB. a, b, fC. b, c, eD. c, d, f71. If a tourist goes to the airport in a MaxiCab at 5 a.m. and pays by credit card, he / she has to pay _________.A. $47B. $38.5C. $55D. $51.772. If a tourist group intends to book one of the suggested tours in a 6-seater MaxiCab, it ________.A. has to register at .sgB. can choose the time and place to collect the groupC. may apply to the Singapore Tourism BoardD. must first pay at least $105 as deposit73. Which of the following is NOT true according to the passage?A. A MaxiCab driver can stop on the way on request with extra charges.B. The cabby tour can show you around Singapore in the night time.C. A MaxiCab taxi tourist guide isn’t allowed to add scenic spots en route.D. Specially-trained taxi drivers operate various tours around Singapore.(C)Because I am extremely vulnerable to both slick advertising and peer pressure, I’ve been thinking about getting an iPad. But here’s the problem: I’m cheap, and the iPad’s not. If I’m going to fork over at least $499 for a new device, I want to try it out and make sure it’s not just a larger, shinier version of myiPhone. But if I went to my local Apple Store, I’d get to spend only a few minutes testing out the machine. I wanted more time than that, so I rented one for $15 a day from a guy on SnapGoods.The Internet start-up in Brooklyn runs on simple reasoning: there are people who want to borrow stuff –camping equipment, food processors, robot vacuums, etc. –and there are people who have stuff they want to lend. SnapGoods helps these two groups connect over the Web. SnapGoods is one of many sites that have sprung up to facilitate offline sharing. Some sites have a narrow, obvious focus (like ) while others are more obscure (Neighborhood Fruit helps people share what’s growing in their yards or find fruit trees on public land). But regardless of whether the sharing is free or involves a fee, these transactions often come with a stick-it-to-the-man attitude. “Borrow these things from your neighbors,” reads one earnest request on , “The owner-ship has SAILED!”All of these sites are encouraging something academics call collaborative consumption –in other words, peer-to-peer sharing or renting. Renting something you don’t need to use very often makes a lot more sense than buying it and letting it collect dust in your garage. There’s a green aspect as well, since sharing helps cut down on overall use of resources. But one of collaborative consumption’s most surprising benefits turns out to be social. In an era when families are scattered around the country and we may not know the people down the street from us, sharing things –even with strangers we’ve just met online –allows us to make meaningful connections.“This isn’t just about saving the environment or saving a dollar,” says SnapGoods CEO Ron Williams, who came up with the idea after renting a stranger’s motorcycle via Craigslist. “This is about saving yourself by making informed consumer decisions.”I’m not sure if I got a thrill when I borrowed Goodwin’s iPad, but it did feel good to make a connection. In the end, though, I decided not to purchase an iPad. Sorry, Steve Jobs. I’m just not that into owning things anymore.74. Which of the following is NOT a reason for the author’s renting an iPad instead of buying one?A. The iPad is expensive and the author wants to make sure an iPad is worthy.B. He has already got an iPhone and expects to test the better quality of iPad.C.The local Apple Store only offters limited time to test out the machine.D. The iPad is so expensive that he cannot afford it.75. SnapGoods is a website which________.A. facilitates online sharingB. helps people borrow things from their neighborsC. connects borrowers and lenders for stuff sharingD. sells iPad online76. What is Ron Williams’ attitude towards collaborative consumption?A. FavorableB. CriticalC. IndifferentD. Not known77. Which of the following can best serve as the title of the passage?A. SnapGoods: a Good Place For ShoppingB. Borrow, Don’t Buy: Websites That Let Strangers ShareC. Why Do I RentD. Tips For Selling Things On the InternetSection CDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.Ambitious “go getters” (people energetic and eager to succeed) earn more money throughout theirlives –but the “price” is that they have poorer health and die younger. They are also not much happier than less ambitious people.A new study tracked 717 high achievers who attended universities such as Oxford, Harvard and Yale, as well as high ability individuals who didn’t attend universities. The researchers assume that highly ambitious people may devote so much time to their jobs that they neglect areas of life proven to help people live long, happy life.The study focused on people born in the first half of the 20th century, and tracked them to the end of their lives. “Ambitious kids had higher educational attainment, attended highly este emed universities, worked in more prestigious (有声望的) occupations, and earned more,” says Timothy Judge, professor of management at the University of Notre Dame’s Mendoza College of Business.“So, it would seem that they are prepared to ‘have it all.’ However, we determined that ambition has a much weaker effect on life satisfaction and actually a slightly negative impact on longevity (how long people lived).“So, yes, ambitious people do achieve more successful careers, but that doesn’t seem to translate into leading happier or healthier lives.” Judge u sed a complex formula to judge ambition at every stage of life –and to divide high-ability individuals into “ambitious” and “less ambitious” groups. “If ambition has its positive effects, and in terms of career success it certainly seems that it does, our study also suggests that it carries with it some cost,” Prof Judge says.“Despite their many accomplishments, ambitious people are only slightly happier than their less-ambitious counterparts, and they actually live somewhat shorter lives.”“Perhaps the i nvestments they make in their careers come at the expense of the things we know affect longevity: healthy behaviors, stable relationships and deep social networks.”“If your biggest wish for your children is that they lead happy and healthy lives, you migh t not want to overemphasize professional success. There are limits to what our ambitions bring us – or our children. (Note: Answer the questions or complete the statements in NO MORE THAN TWELVE WORDS)78. According to the passage, ambitious people have greater earning power in their life, but at the cost oftheir ___________.79. Who were followed and studied by the researchers in the new study?_______________________________________________.80. What are the factors that affect people’s longevity?_______________________________________________.81. Parents who expect their children to live a happy and healthy life should __________.第II卷(共47分)I. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.1.新出台的高考政策将在一定程度上影响我国教育的发展。
- 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)。
2012年高三调研卷(英语)试卷2012年12月(13校联考卷)ⅡGrammar and VocabularySection ADirections: Beneath each of the following sentences there are four choices marked A,B,C and D. Choose the one answer that best completes the sentence.25.There is little doubt that clean natural gas will play a major role ____the world energy stage in the future.A.inB.onC.ofD.above26.You may choose ______of the hamburgers and leave the other for me.A.eitherB.neitherC.anyD.both27.When Mo Yan started his writing career , he never imagined he ____ China’s first Nobel Prize winner.A.had becomeB.becameC.would becomeD.has become28.Many students have nowhere to go after school , _________they have no access to affordableafter-school opportunities.A.althoughB.whileC.unlessD.since29.We had a wonderful time at yesterday’s get-together .You_______have come , but why didn’tYou?A.mustB.canC.ought toD.might30.We now seem to wonder ______the more connected we get , the more disconnected we feel.A.that it is whyB.that why it isC.why is it thatD.why it is that31.The only way John could imagine ______stress was to get tougher by making greater efforts.A.handingB.to handleC.handleD.having handle32.In the recent past there______a number of amazing innovations in the world of 3D entertainment.A.wereB.has beenC.have beenD.had been33.After______under the ground for a long time , the ancient vase was accidentally dug out by aFarmer.A.buriedB.buryingC.having buriedD.being buried34.________this technology is a great initial step in reducing carbon-dioxide emission , there are a lot of hurdles to be overcome.A.WhileB.WhetherC.ProvidedD.Considering35.Whoever_______in the exam will be severely punished according to the school rules.A.caught cheatingB.is caught cheatingC.caught to cheatD.is caught to cheat36.Teachers might as well create an atmosphere ______the students feel respected and cared for.A.thatB.whenC.whereD.which37.As Mike’s best friend , you must have been invite to his birthday party last night,______?A.didn’t youB.haven’t youC.mustn’t youD.weren’t youmunication is _____ keeps families on track and functioning as a unit.A.whatB.whenC.whichD.where39.Although leaders are often thought to have unusual personal abilities , no researches have produced evidence _____there are “natural leaders”.A.thatB.whenC.whichD.where40.Many contestants were dissatisfied that the contest result wasn’t made _______to the public until two weeks later.A.knowingB.knownC.to knowD.to be knownSection BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there are one more than you need.A. faithfulnessB. preferredC. associationD. meantE. incrediblyF. presentG. graduallyH. enduring L. honor J. officialFragrant and beautiful, Carnation flowers have become symbolic of mother' s love and also Mother' s Day. Mother' s Day and carnations have had an _41_____for a very long time because according to a Christian legend, this is the plant that sprung up when Jesus Christ' s mother Maryshed tears of distress seeing her son____42_____ sufferings on the cross.The tradition of gifting carnations to mothers on Mother' s Day was initiated by Miss Anna Jarvis and began on the first ____43____ Mother' s Day in America on May 10, 1908. Miss Anna Jarvis sent 500 white carnations to the Andrews Methodist Episcopal Church, in Grafton, West Virginia. The flowers were___44__ to be distributed amongst the mothers. Others ___45__were also asked to wear flowers. White carnations were a favourite of Anna' s deceased mother. Anna explained the reason for her selection of the flower.“The white carnation is ___46__because I think it typifies some of the virtues of motherhood; ... whiteness stands for purity; its lasting quality,___47____; its fragrance, love; its wide field of growth, charity; its form, beauty...”Miss Anna Jarvis continued with the practice of sending carnations to the Andrews Church. She sent over 10,000 carnations in the subsequent years as a personal gift to the church on Mother' s Day. This __48____led to a custom of gifting carnations to mothers. Today carnations are worn or gifted worldwide on Mother' s Day and have become symbolic of purity, strength and endurance of motherhood. As a custom red carnations are worn to __49___living mothers and white carnations for the deceased mothers.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.Ambition is a necessary quality in life. It is the __50_ which drives us on to use whatever talent we have got. If we haven’t got some degree of ambition, these talents will not be used for our own and other’s __51__ We must continually want to be better than we are. Without ambition we are just jellyfish that flop through life. We only react to events; we don’t try to control them.Ambition, _52__, can have several defects.First of all it can be _53___ . We may not be able to see the limits of our own abilities, so we do ambitious things that are completely beyond us. Our career masters can see our good qualities and our limitations ___54_ . They may tell us that we haven’t the ability to deal with people and would make good businessmen. We refuse to take their evaluation. We keep on trying. Many years and many _55__ later we are forced to accept their 56___ . But what a waste of time our ill-founded ambition has caused us!Secondly, our ambition can be too _57__. We devote our attention to one narrow aim, such as getting distinctions in our science subjects. Everything that may draw us away from this aim is cutout of our lives. In the end we get our distinctions. But what damage we have _58__ ourselves in the process! We are isolated beings who only care about a particular examination. And we probably won’t make good scientists. We _59__ the breadth of view necessary for success in higher studies.Thirdly, our ambition can be limited to lifeless objectives. We want to gain money, or power, or membership of some circles. Persons who feel inferior try to _60__ by seeking the respect of others through possessions of these artificial signs of worth.Fourthly, our ambition may be __61_. Instead of directing some of our ambition towards community improvement we may exploit members of the community in the interests of self-advancements. In later life we may be ambitious for the success of our children but we regard this success as only a further _62__ of our own success.Ambition is necessary in the lives of individuals---necessary for their own improvement and for the improvement of the 63___ in which they live. But, like all blind forces, it must be directed if it is not to cause disaster. It must be tightly controlled by the head and the heart. Otherwise ambition may _64___ too high a price in terms of human qualities.50. A means B force C courage D action51. A justice B affection C benefit D emotion52. A however B therefore C besides D furthermore53. A unpredictable B unusual C unrealistic D unfavorable54. A objectively B positively C amusingly D negatively55. A miracles B recoveries C occasions D disappointments56. A notice B solution C judgment D measure57. A devoted B concentrated C separated D isolated58. A caused B made C driven D troubled59. A omit B lack C own D value60. A take in B make up C turn down D give out61. A self-centered B self-disciplined C self-satisfied D self-controlled62. A time B image C design D mark63. A family B community C section D position64. A possess B satisfy C overtake D demandSectionBDirections:Read the following passages. Each passage is followed by several questions or unfinished statements. For each of the 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 just read.(A)Promotions are proof that our performance and capabilities have been tested and recognized by our superiors.They open the way to new challenges and personal growth.They allow us to take on more responsibilities.They broaden our vision of the company.They even pave the way for our next promotion.This article will explain how to position yourself to get a promotion and will give you tips you can use to continue to succeed once you have been promoted.Promotions are usually given to those who deserve them the most.Reaching the targets that are assigned to you is an important requisite for receiving a promotion.Howeve,if other people in your team were also chosen for the promotion,you must find ways of achieving more than them.You must stand out.Always do your very best,no matter what individual objectives wereassigned to you.Show your superiors that you understand and the interests of the company and that you always place them before your own interests.Support your teammates and seize opportunities to demonstrate that your are an effective solverYou know you are ready for a promotion when you know your current job function well;your daily job becomes a routine;and you already understand two-thirds of your supervisor’s function.Then it is time to disuss your career plan with your superiors.If no opportunity is apparent witnin a reasonable time frame,it might be wise to consider sending your resume to reliable executive search firms.Promotions are not always given to those who deserve them the most.Every company has its internal policies.No matter how good their performance may be,those who refuse to cooperatate with established policies find way out quicker than way up.So,choose a company with a management style that corrrsponds tu your aspiration.Then,you can grow together-naturally65.According to the passage,promotion may lead to ____________A.high salariesB.personal growthC.better working conditionsD.fewer responsibilities66.What should you do if you are not chosen for promotion from your team?A.You should tell your boss that you have to quit the jobB.You should give up competing with other team membersC.You should ask your boss directly for a promotionD.You should try your best to stand out.67.What does the underlined part“find the way out quicker than the way up”mean?A.get fired rather than get promotedB.find it easy to get a promotionC.grow up with the companyD.find it hard to get along with others68.The passage is mainly about _____________A.how to choose a company to work forB.how to get a promotion and develop furtherC.how to cooperate with your supervisorsD.how to prove you are better(B)Keel University is the UK’S largest integr ated campus university set within a 617 acre estate , with the stunning 19th Century Keele Hall as our central feature ,surrounded by beautiful landscaped grounds. Its location in North Staffordshire means that we are easily accessible from anywhere in the country .Renowned for our exciting approach to higher education with our exceptional undergraduate both dual and single honours degrees in Applied Ebvironmental Science ,Environment and Sustainability ,Geography and Geology ,our beautiful campus and strong community spirit ,coupled with excellent student life ,means that Keele should easily be your number one university choice.We will provide you with dynamic and supportive high quality teaching, modern fully equipped lecture theatres and laboratories with dedicated audio-visual facilities and specialist Earth Science, Environmental and Geographical software. We also offer fully-integrated fieldworkprogrammes and are proud of internationally recognized research.Our programmes have been ranked among the top in the county by the National Student Survey and we pride ourselves on having our own Hub for Sustainability (可持续发展中心)that strengthens our commitment and drive in the environmental and sustainability agenda.Undergraduate programmes :BSc Applied Environmental ScienceBSc Environmental and SustainabilityBA/BSc GeographyBSc Physical GeographyBA/BSc Human GeographyBSc GeologyBSc Geoscience/MGeosciencePostgraduate programmes:Environmental Sustainability and Green TechnologyMSc Geoscience with Research Training(with international placement)Email: gge@ Web: /geo Phone: 01782 73361569. Which of the following statement is NOT TRUE according to the passage?A. The location of Keele University is convenient.B. Fully-integrated fieldwork programmes are offered in Keele University.C. Of all the universities in UK, Keele University ranks number one.D. Modern fully equipped lecture theatres and laboratories are available in Keele University.70. Keele University seems to be a good choice for one who is interested in______.A. medicineB. environment C, engineering D. education71. If a student in your class wants to receive dual honours degrees in Keele University, he may choose the following programmes EXCEPT _____.A. BA/BSc GeographyB. BSc Applied Environmental ScienceC. BSc Geoscience/MGeoscienceD. BSc Environmental and Sustainability(C)More than a year after BMW Manufacturing Co. announced plans to convert landfill gas to electricity , officials say the project has exceeded expectations .It’s good news for similar projects being considered throughout the state .A project in Lee Country should begin operation in November and another in Anderson should be running by next spring . Carbon dioxide emissions were reduced by 34,000 tons in the last nine months of 2011because the plant used less natural gas and electricity and because the methane gas emissions from the landfill were captured.BMW is on target to eliminate annually the equivalent of emissions from more than 60,000 cars . “ We think we are on target for about 55,000 tons ,as long as we operate this ,”said DuncanSeaman,BMW facilities and energy manager. In addition to reducing emissions ,BMW saves about $1milion a year in energy costs . “The reality of the project has definitely exceeded our expectations,”Seman said . The methane gas generated by the decaying waste is shipped about 10 miles to the plant from the landfill. The energy is used in various processes including the plant shop ,assembly lines and body lines , and to heat and cool the facility.Other officials are taking notice,too. “I had an international engineer come by my office the other day and tell me the BMW Palmetto project had raised the awareness of landfill gas to energy all over the world ,” said Sonny Dubose , program manager for the state Office of Energy . The original expectation was the gas would allow the plant to run tow of its four turbines full time. “The reality has been very good quality landfill gas ,”Seaman said . “ The equipment has run very well . We have had very high availability . We’ve been able to operate –more than we expected –all four turbines ,except for maintenance.”72.The carbon dioxide emissions of BMW reduction was mainly due to_______.A. the elimination of the emissions from more than 60,000 carsB.the use of natural gas rather than coalC.the decline in the use of natural gas and eletricityD.the methan in the landfill raises the efficiency of the energy73. According to the third paragragh ,which of the following is true?A. The company can produce 60,000 cars every yearB.55,000 tons of methane gas emissions will be eliminatedC.60,000 cars will be fueled by methane gasD.The project has achieved the original goal of BMW Company.74. According to what Sonny Dubose said, we can infer that _____.A. landfill gas may be used all over the world in the futureB. the gas allows the plant to run two of its four turbines full timeC. maintaining the four turbines saves lots of energyD. the original expectation is unreasonable75. Which of the following expresses the main idea of the passage?A. Carbon dioxide emissions can be reduced by use of landfill gas.B. BMW turns landfill gas into electricity.C. BMW’s proj ect always has exceeded expectations.D. There’ll be a world-wide project to turn landfill gas into electricity.Section CDirections: Read the following text and choose the most suitable heading from A-F for each paragraph. There is one extra heading which you do not need.A. Insurance makes up for almost any kind of loss.B. Savings are the best way to protest against financial losses.C. Insurance companies in the U.S..D. Insurance can provide protection against financial losses.E. Financial loss is inevitable.F. Many share few people’s losses.76.Each minute of the day or night, everyone faces a possible financial loss. A home may be destroyed by fire, damaged by lightning, or leveled by a tornado. Personal belongings may be stolen. A car may be damaged in an accident, or it may cause injury to people and property. Income may be lost as the result of the death, disability, or unemployment of a family wage earner. The chance that a loss of this kind may occur is called an economic risk.77.Savings provide one way to take care of financial losses. But savings are not the answer to large losses. The best way to guard against large financial losses is through insurance. The purpose of insurance is to provide protection against financial loss at a reasonable cost. This is possible only when the cost of insurance is shared by many people who face a similar risk. But not all of them are likely to have actual losses at the same time.78.Almost 4,800 companies in the United States are in the business of providing insurance protection. These businesses are called insurance companies. Because most insurance companies operate on a big scale, they provide a way for large numbers of people to share their losses.79.The premiums(保险金) paid by all policyholders are used to pay those who have losses. In this way, a loss that might result in great financial hardship for one person or household is shared by many people.80.Insurance can provide protection against almost any kind of loss. Singers may insure their voices. Photographers may insure their negatives. The owner of a home freezer may insure against food loss in case of power failure. A business owner can insure his or her place of business. A business owner can also insure against a loss of profits during a shutdown following a fire or damaging accident. However, the kinds of insurance protection that most people buy can be divided into three broad groups: property and liability insurance, life insurance, and health insurance.Section DDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.When aluminum was first produced about a hundred and fifty years ago, it was so difficult to separate from the ores in which it was found that its price was higher than that of gold. The price remained high until a new process was discovered for refining the metal with the aid of electricit y approximately three quarters of a century later. The new method was so such cheaper that alu minum became practical for many purposes, one of the first which was making pots and pans.Aluminum is lightweight, rustproof and easily shaped into different forms. By mixing it with o ther metals, scientists have been able to produce a variety of alloys, some of which have the stre ngth of steel but weigh only one third as much.Today, the uses of aluminum are innumerable. Perhaps its most important use is in transport ation.Aluminum is found in the engines of automobiles, in the hulls of boats. It is also used in man y parts of airplanes. In fact, the huge "airbus" planes would probably never have been produced if aluminum did not exist. By making vehicles lighter in weight aluminum has greatly reduced the a mount of fuel needed to move them. Aluminum is also being used extensively in the building ind ustry in some countries.Since aluminum is such a versatile (多用的) metal, it is fortunate that bauxite(铝土矿), which is one of its chief sources, is also one of the earth’s most plentiful substances. As the source of aluminum is almost inexhaustible, we can expect that more and more uses will be foun d for this versatile metal.(Note: Answer the questions or complete the statements in NO MORE THAN EIGHT WORDS) 81. The price of aluminum _____________________after people discovered a new refining process with the aid of electricity.82. What is the main future of aluminum?83. Why is aluminum important in making vehicles?84. Aluminum seems to have limitless use probably because___________第二卷Translation1.他会上提的建议值得进一步考虑。