2014二模测试模拟试题
【2014宁波二模】浙江省宁波市2014届高三第二次模拟考试文综试题 PDF版含答案

宁波市 2014 年高考模拟考试文科综合试题第Ⅰ卷(共 140 分)选择题部分共 35 小题,每小题 4 分,共 140 分。
在每题给出的四个选项中,只有一 项是符合题目要求的。
目前,网络购物已经成为不少人的购物选择。
下图为某公司的电子产品生产、网上销 售流程简图,读图回答 1~2 题。
1.该电子成品三大仓储基地选址的主要条件是 A.靠近名牌大学,便于储备研发人才 B.接近消费市场,便于成品就近配送 C.地处大中城市,有充足的仓储用地 D.交通运输便利,便于产品供应市场 2.地理信息系统能够辅助该公司 A.决策空间布局 B.调控生产流程 C.调研买家意愿 D.创意新型产品物 流 配 送配送中心订 单供货 调货仓 储北京 上海 武汉外来配件信 息 订单 付款成 品订 数 单 计 设 品 新生产中心买 家公司网店监 管 反 馈量本地配件公司总部第 1、2 题图3.图 2 为图 1 中某河支流水文站 2014 年 3 月测得的连续两日流量变化图。
导致两日流量 日较差差异的主要原因,最可能是这两日该支流流域内122º 50º 124º 126º流量( m3/s) 15 10 5 0 048º 齐齐哈尔 第 3 题图 112 24 12 24 (北京时间) (某日) (次日)第 3 题图 2A.连绵阴雨B.持续升温C.阴天转晴D.大风降温下图是亚欧大陆 40ºN~50ºN 四地 1 月和 7 月气温距平值 (该地气温与同纬度平均气温 之差)和降水距平值(该地降水量与同纬度平均降水量之差) ,据图回答 4~5 题。
宁波市 2014 年高考模拟考试卷 文科综合试卷 12-1PDF 文件使用 "pdfFactory Pro" 试用版本创建 降水 距 平值 (mm) 120 100 80 60 40 20 0 -20 -40 -60①地②地③地④地气温 距 平值 (℃ ) 15 12 9 6 3 0 -3 -6 -9 -12七 月降水 距 平 一 月降水 距 平 第 4、 5 题图七 月气温 距 平 一 月气温 距 平4.关于四地气候特点及其对农业生产影响的叙述,正确的是 A.①地热量充足,降水丰富,适合热带经济作物发展 B.②地夏季光热充足,雨热同期,有利于耕作业发展 C.③地夏季高温多雨,光照充足,有利于种植业的发展 D.④地气温年较差和降水季节变化小,农业气象灾害少 5.上述四地中,自然带类型相同的是 A.①② B.②③ C.③④ D.①④ 6.右图为某国玩具厂分布图。
2014年安庆市高三模拟考试(二模)试卷及答案

2014年安庆市高三模拟考试(二模)英语试题命题:安庆市高考命题研究课題组本试卷分为第I卷(选择题)和第II卷(非选择題)两部分。
全卷满分150分,考试时间120分钟.第I卷第一部分:听力理解(共两节,满分30分)第一节(共5小题;每小题1。
5分,满分7。
5分)听下面5段对话.每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题.每段对活仅读一遍。
1。
What do we know about Lucy?A。
She doesn't like chatting。
B. She is out of work. C。
She likes watching movies。
2。
What subject does David do best in ?A。
Maths. B. Physics. C. Biology.3。
What's the weather like tomorrow?A. Fine。
B. Windy。
C。
Rainy。
4。
Why does the woman want to change the dress?A。
It's of the wrong color. B. It’s in the wrong size C。
It’s of the wrong style。
5。
Why will the woman go to Beijing?A。
She will attend college there。
B。
She has found a new job there.C。
She wants to open her eyes。
第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白.每段对话或独白后有几个小题,从题中所给的A,B, C三个选项中选山最佳选项,并称在试卷的相应位置。
【2014安庆市二模】安徽省安庆市2014届高三高考模拟考试(二)数学文试题 Word版含答案

2014年安庆市高三模拟考试(二模)数学试题(文科)本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分.全卷满分150分,考试时间120分钟.第Ⅰ卷(选择题 共50分)一、选择题(本大题共10小题,每小题5分,共50分.在每小题给出的四个选项中,只有一项是符合题目要求的). 1、已知i 为虚数单位,R a ∈,如果复数21ai i--是实数,则a 的值为( ) A. -4 B.2 C. -2D.4 2、已知全集Z U =,}2,1,0,1{-=A ,=B {R x ∈|2x =23-x },则A ∩(B C U )=( )A .{}2,1-B .{}0,1-C .{}1,0D .{}2,13、命题“2cos sin ,,2>-⎥⎦⎤⎢⎣⎡∈∃x x x ππ”的否定是( ) A .2cos sin ,,2<-⎥⎦⎤⎢⎣⎡∈∀x x x ππ C .2cos sin ,,2≤-⎥⎦⎤⎢⎣⎡∈∀x x x ππ B .2cos sin ,,2≤-⎥⎦⎤⎢⎣⎡∈∃x x x ππ. D .2cos sin ,,2<-⎥⎦⎤⎢⎣⎡∈∃x x x ππ 4、2014年3月,为了调查教师对第十二届全国人民代表大会二次会议的了解程度,安庆市拟采用分层抽样的方法从C B A ,,三所不同的中学抽取60名教师进行调查.已知C B A ,,学校中分别有180,270,90名教师,则从C 学校中应抽取的人数为( ). A .10B .12C .18D .245、在平面直角坐标系中,从下列五个点:A (0,0),B (2,0),C (1,1),D (0,2),E (2,2)中任取三个,这三点能构成三角形的概率是( ) A .52B .53 C .54 D .16、我们把离心率之差的绝对值小于21的两条双曲线称为“相近双曲线”.已知双曲线1124:22=-y x C ,则下列双曲线中与C 是“相近双曲线”的为( ).A .122=-y x B .1222=-y x C .1222=-x y D .172922=-x y7、一个几何体的三视图如图所示,则该几何体的表面积为( ).A .26+ C .28+B .27+D .227+8、已知n S 表示数列{}n a 的前n 项的和,若对任意*∈N n 满足,21a a a n n +=+且,23=a 则2014S =( )A .20131006⨯B .20141006⨯C .20131007⨯D .20141007⨯9、在ABC ∆中,角C B A ,,的对边分别是c b a ,,.若C b a sin 5=,且C B A cos cos 5cos =, 则tan A 的值为( ) A .5B .6C .4-D .6-10、设定义域为R 的函数⎩⎨⎧<++≥-=,0,440|,4|)(2x x x x x x f 若函数2()()(21)()g x f x m f x =-+⋅ 2m +有7个零点,则实数m 的值为( ) A .0 B .6 C .62或D .2 第Ⅱ卷 (非选择题 满分100分)二、填空题(本大题5个小题,每小题5分,共25分) 11、执行如图所示的程序框图,若输入2x =,则输出的 y 值是 .12、已知点),(y x P 满足约束条件1122x y x y x y +≥⎧⎪-≥-⎨⎪-≤⎩,O 为坐标原点,则||OP 的最大值为_______________.13、甲、乙两位同学参加2014年的自主招生考试,下火车后两人共同提起一个行李包(如图所示). 设他们所用的力分别为21,F F , 行 李包所受重力为,若||22||||21F F ==, 则1F 与2F 的夹角θ的大小为____________.14、若曲线2)(-=x x f 在点),(2-a a )0(>a 处的切线与两条坐标轴围成的三角形的面积为3,则=a 23log___________.15、一般地,如果函数)(x f y =的定义域为[]b a ,,值域也是[]b a ,,则称函数)(x f 为“保域函数”,下列函数中是“保域函数”的有_____________.(填上所有正确答案的序号)G1F 2F①[]1,1,1)(21-∈-=x x x f ; ②⎥⎦⎤⎢⎣⎡∈=2,0,sin 2)(2ππx x x f ; ③[]2,2,3)(33-∈-=x x x x f ;④24()ln ,1,f x x x x e ⎡⎤=-∈⎣⎦;⑤[]2,0,12)(25∈+-=x x x xx f .三、解答题:(本大题共6小题,共75分.解答应写出文字说明,证明过程或演算步骤.) 16、(本小题满分12分)设函数,)(x f ⋅=其中向量()⎪⎪⎭⎫⎝⎛⎪⎭⎫ ⎝⎛--==62sin ,1,3,2sin πx x ,R x ∈. (Ⅰ)求)(x f 的最小值,并求使)(x f 取得最小值的x 的集合;(Ⅱ)将函数)(x f 的图象沿x 轴向右平移,则至少平移多少个单位长度,才能使得到的函数)(x g 的图象关于y 轴对称?17、(本小题满分12分) 大家知道,莫言是中国首位获得诺贝尔奖的文学家,国人欢欣鼓舞.(Ⅱ)对莫言作品阅读超过75篇的则称为“对莫言作品非常了解”,否则为“一般了解”.根据附:()()()()()d b c a d c b a bc ad n K ++++-=2218、(本小题满分12分)在正项数列{}n a 中,16,151==a a . 对任意的*∈N n ,函数 21()n f x a x +=-2(cos n n a a x ++sin )x 满足()00='f .(Ⅰ)求数列{}n a 的通项公式; (Ⅱ)求数列{}n na 的前n 项和n S .19、(本小题满分13分)在如图所示的多面体PMBCA 中,平面⊥PAC 平面PAC ∆是边长为2的正三角形,PM ∥BC ,且52,42===AB PM BC .(Ⅰ)求证:BC PA ⊥; (Ⅱ)求多面体PMBCA 的体积. 20、(本小题满分13分)已知e 是自然对数的底数,函数)0,()(2≠∈=a R a eax x f x 且.(Ⅰ)求函数)(x f 的单调递增区间; (Ⅱ)当0>a 时,函数)(x f 的极大值为e1,求a 的值. 21、(本小题满分13分)如图,已知点F 为椭圆C )0(1:2222>>=+b a by a x 右焦点,圆:A ())0(222>=++t y t x与椭圆C 的一个公共点为)1,0(B ,且直线FB 与圆A (Ⅰ)求t 的值及椭圆C 的标准方程;(Ⅱ)设动点00(,)P x y 满足3OP OM ON =+uu u r uuu r uuu r,其中M 、N 是椭圆C 上的点,O 为原点,直线OM 与ON 的斜率之积为12-,求证:22002x y +为定值.2014年安庆市高三模拟考试(二模) 数学试题(文科) 参考答案及评分标准一、选择题(本大题共10小题,每小题5分,共50分.在每小题给出的四个选项中,只有1、解析:21i i--i i )22(222-+-=-=是实数,则022=-,故4=a 选D.2、解析:=B {x |2x =23-x }{}2,1=,(){}0,1-=⋂∴B C A U ,选B. 3、解析:特称命题的否定是全称命题, 选C. 4、解析:从C 学校中应抽取的人数为10609027018090=⨯++,选A.5、解析:从5个点中取3个点,列举得ABC,ABD,ABE,ACD,ACE,ADE,BCD,BCE,BDE,CDE 共有10个基本事件,而其中ACE, BCD 两种情况三点共线,其余8个均符合题意,故能构成三角形的概率为54108=.选C. 6、解析:双曲线C 的离心率为2,对于A 答案,其离心率为2,不符合题意;对于B 答案,其离心率为3,符合题意;对于C 答案,其离心率为26,不符合题意;对 于D 答案,其离心率为3,不符合题意.选B.7、解析:由三视图可知该几何体是底面为直角梯形(梯形上底为1,下底为2,直角腰为 1),高为1的直棱柱,故其表面积为27212121)21(21211+=⨯+⨯+⨯⨯+⨯+⨯⨯. 选B.8、解析:在21a a a n n +=+中,令,1=n 则0,1212=+=a a a a ,令2=n ,则1,22223===a a a ,于是11=-+n n a a ,故数列{}n a 是首项为0,公差为1的等差数列,201310072201320142014⨯=⨯=∴S . 选C.9、解析:由正弦定理得C B A sin sin 5sin =①,又C B A cos cos 5cos =②,②-①得,A CBC B C B A A cos 5)cos(5)sin sin cos (cos 5sin cos -=+=-=-,A A cos 6sin =,6tan =∴A . 选B.10、解析:代入检验,当0m =时,()0()1f x f x ==或,()0f x =有2个不同实根,1)(=x f 有4个不同实根,不符合题意;当6=m 时,9)(4)(==x f x f 或,4)(=x f 有3个不同实根,9)(=x f 有2个不同实根,不符合题意;当2m =时,()1()4f x f x ==或,作出函数()f x 的图象,得到1)(=x f 有4个不同实根,()4f x =有3个不同实根,符合题意. 选D.二、填空题:(本大题共5小题,每小题5分,共25分.) 11、23 12、5 13、2π14、2 15、②③⑤ 11、解析:执行程序框图,依次得到;5,2==y x ;11,5==y x 23,11==y x ,符合条件,输出y ,其值为23.12、解析:作出可行域,得到当P 位于)4,3(时,||OP 最大,其值为5. 13、解析:由力的平衡可知021=++G F F ,G F F -=+21,两边平方,可得2212221)(2G F F F F -=⋅++,由条件得021=⋅F F ,故1F 与2F 的夹角θ的大小为2π.(或利用向量加法的平行四边形法则来求) 14、解析:求导得32)(--='x x f ,所以在点),(2-a a 处的切线方程为)(232a x a a y --=---.令0x =得,;32-=a y 令0y =得,.23a x =所以切线与两条坐标轴围成的三角形的面积3233212=⨯⨯-a a ,43=a (舍去负值), 2log23=∴a .15、解析:对于①,其值域为]0,1[-,不符合,故①舍去;对于②,其值域为⎥⎦⎤⎢⎣⎡2,0π, 故②正确;对于③,23()33f x x '=-,于是)(3x f 在)1,2(--上单调递增,在()1,1-上单调递减,在()2,1上单调递增,其值域为[]2,2-,故③正确;对于④,411()10x f x x x-'=-=≥,24()ln ,1,f x x x x e ⎡⎤=-∈⎣⎦单调递增,其值域为21,2e ⎡⎤-⎣⎦, 不符合题意,故④舍去;对于⑤,0)0(5=f ,当0>x 时,520()211f x x x <=≤+-(当且仅当1=x 时,等号成立),其值域为]2,0[,故⑤正确.于是填②③⑤. 三、解答题(本大题共6小题,共75分.解答应写出文字说明,证明过程或演算步骤) 16、(本小题满分12分)解:(Ⅰ)x x x x x f 2cos 232sin 2162sin 32sin )(-=⎪⎭⎫⎝⎛-+-=⋅=π ⎪⎭⎫ ⎝⎛-=32sin πx .…………..4分故函数)(x f 的最小值为1-,此时2232πππ-=-k x ,于是)(12Z k k x ∈-=ππ,故使)(x f 取得最小值的x 的集合为⎭⎬⎫⎩⎨⎧∈-=)(12|Z k k x x ππ. ……………..7分(Ⅱ)由条件可得⎪⎭⎫⎝⎛--=322sin )(πϕx x g ,因为其图象关于y轴对称,所以232πππϕ+=+k ,)(122Z k k ∈+=ππϕ,又0>ϕ,故当0=k 时,ϕ取得最小值12π,于是至少向右平移12π个单位长度,才能使得到的函数)(x g 的图象关于y 轴对称.……………..12分17、(本小题满分12分)解:(Ⅰ)由抽样调查阅读莫言作品在50篇以上的频率为100795050101513121811=++++++,据此估计该校学生阅读莫言作品超过50篇的概率约为=P 10079………..5分(Ⅱ)………..8分根据列联表数据得()323.1010.1455550502520253010022<≈⨯⨯⨯⨯-⨯⨯=K ,所以没有75%的把握认为对莫言作品的非常了解与性别有关. ………..12分18、(本小题满分12分)解:(Ⅰ)求导得)cos sin ()(221x x a a a x f n n n +--='++,由()00='f 可得221++=n n n a a a ,又0>n a ,故数列{}n a 为等比数列,且公比0>q .……………..3分由16,151==a a 得2,164==q q ,所以通项公式为)(21*-∈=N n a n n . ………..6分(Ⅱ)21122322n n S n -=+⨯+⨯++⋅L ①231222232(1)22n n n S n n -=+⨯+⨯++-⋅+⋅L ②①-②得,2112222n nn S n --=++++-⋅L n nn 22121⋅---=n n n 212⋅--=12)1(+⋅-=∴n n n S……………..12分19、(本小题满分13分)证明:(Ⅰ)2,4,AC BC AB ===Q ,222AB BC AC =+∴BC AC ⊥∴又因平面⊥PAC 平面ABC ,平面⋂PAC 平面ABC ⊥∴=BC AC ,平面PAC ,PA ⊂Q 平面PAC ,PA BC ⊥∴.……………..6分解:(Ⅱ)作PC AD ⊥于点D .由(Ⅰ)知⊥BC 平面PAC ,PC BC AD BC ⊥⊥∴, 又PM ∥BC ,且,42==PM BC∴四边形BCPM 是上、下底分别为2、4,高为2的直角梯形,其面积为6.又C PC BC =⋂,⊥∴AD 平面BCPM ,3=AD .故多面体PMBCA 的体积为32363131=⨯⨯=⨯⨯AD S BCPM . ……………..13分 20、(本小题满分13分)解:(Ⅰ)函数的定义域为R .求导得xe x x a xf )2()(2-='………..3分当0>a 时,令0)(>'x f ,解得20<<x ,此时函数)(x f 的单调递增区间为()2,0;………..5分当0<a 时,令0)(>'x f ,解得20><x x 或,此时函数)(x f 的单调递增区间为()0,∞-,()+∞,2.………..7分(Ⅱ)由(Ⅰ)可知,当0>a 时,函数)(x f 在区间()()+∞∞-,2,0,上单调递减,在()2,0上单调递增,于是当2=x 时,函数)(x f 取到极大值,极大值为ee a 142=, 故a 的值为4e.………..13分21、(本小题满分13分)解:(Ⅰ)由题意可知1=b ,又1212±=∴=+t t . 又10=∴>t t .……..2分 在AFB Rt ∆中,22222)1()1(2,||||||c c AF FB AB +=++∴=+,2,1==∴a c故椭圆的标准方程为:2212x y +=………..6分(Ⅱ)设1122012012(,),(,),3,3,3M x y N x y OP OM ON x x x y y y =+∴=+=+uu u r uuu r uuu rQ∵M 、N 在椭圆上,∴22,2222222121=+=+y x y x 又直线OM 与ON 的斜率之积为12-,∴121220x x y y +=, 于是22222200112211222(69)2(69)x y x x x x y y y y +=+++++20)2(9)2(6)2(222221212121=+++++=y x y y x x y x . 故22002x y +为定值.………..13分。
2014年高三英语二模试卷(含答案)

2014届高三4月高考模拟英语(考试时间120分钟,满分150分。
请将答案填写在答题纸上)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. In the library. B. In the teaching building.C. Under a big tree.D. Between the teachers’ offices.2. A. On Thursday night. B. On Monday afternoon.C. On Friday morning.D. On Wednesday afternoon.3. A. Lost her time. B. Made up a story about time.C. Worked an extra shift.D. Changed her working conditions.4. A. She may fail the exam. B. She shouldn’t have worried.C. She should work harder.D. She needn’t take any more courses.5. A. He has already seen the exhibit. B.He already knew the exhibit was closed.C.He is pleased the exhibit is closed.D.He is disappointed the exhibit is closed.6. A. Stand where he was. B. Stand beside the woman.C. Stand at the end of the queue.D. Stand in front of the woman.7. A. Colleagues. B. Doctor and patient.C. Neighbours.D. Shop assistant and customer.8. A. He enjoyed reading the novel.B.He hasn’t started reading the novel yet.C.He doubts the woman will like the novel.D.He’ll lend the woman the novel after he has read it.9. A. A college campus. B. An art museum.C. An architectural exhibition.D. A beautiful park.10. A. The man regrets being absent-minded. B. The woman saved the man some trouble.C. The man placed the reading list on a desk.D. The woman emptied the waste paper basket.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 speech.11. A. Future researchers. B. College students.C. Company employees.D. Successful artists.12. A. To teach the listeners how to work hard.B. To enable the listeners to get better jobs.C. To prepare the listeners for their future life.D. To encourage the listeners to seize opportunities.13. A. Kindness. B. Diligence. C. Willingness. D. Interest.Questions 14 through 16 are based on the following passage.14. A. The advantages of studying abroad.B. The high expenses of overseas education.C. The standards of choosing schools abroad.D. The ways of saving money for international students.15. A. Hong Kong. B. Australia. C. The United States. D. The United Kingdom.16. A. US$24,248. B. US$35,000. C. US$22,000. D.US$30,000.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 blankswith the information you have heard. Write your answers on your answer sheet. Blanks 17 through 20 are based on the following 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 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)Senator Jeff Flake, an adventurous politician, went on a four-day Robinson Crusoe style holiday with his two sons, (25)_____ of whom are teenagers, to a remote, uninhabited island in the North Pacific Ocean. They traveled 5,200 miles from Phoenix, Arizona to the island of Biggarenn. They didn’t carry any food or wat er.The island is part of the Marshall Islands. It offered no basic facilities, (26)_____ the Flakes had to catch and cook their own food and purify their water. Their diet (27)_____(make) up of coconuts (椰子), fish and other seafood. They captured the fish and other sea creatures themselves and cooked the food over an open fire (28)_____(start) with a magnifying glass (放大镜).The Flakes brought along a lobster (龙虾) trap in hopes of having some delicious treats, but it was lost within the first few hours after (29)_____(attack) by a shark. They also carried two pumps to remove salt from ocean water. It took them hours each night (30)_____ (pump)for just a small amount of fresh water.One of the most memorable moments of the trip, the father said, was (31)_____ he and his 15-year-old son were chased by sharks after catching a fish in the ocean.Still, it was quite (32)_____ enjoyable holiday for the politician. “For a dad it was a wonderful thing. No video games around, no television, no texting,” Flake recalle d.(B)Count to three and rip (撕) it off as fast as you can—this is how most people remove a band-aid (创可贴). (33)_____ _____ _____ fast you do it, it’s still going to be painful. That’s for sure. Or is it?A group of American scientists from Boston have just developed a band-aid that can be taken off without causing pain, reports the journal Proceedings of the National Academy of Sciences.Traditional band-aids are supposed to break apart (34)_____ the skin meets the glue, which is what makes taking them off so painful. But the new band-aid has an extra layer that sits (35)_____ the glue and the backing. When you tear off the band-aid, you remove the backing and middle layers, (36)_____(leave) the glue behind. The glue (37)_____ then be simply rubbed off wi th one’s fingers or left to fall off naturally. Importantly, this process is pain-free.This is not the first time scientists (38)_____(try) to solve this problem. But methods theytried in the past led to band-aids that were (39)_____(sticky) and therefor e didn’t stay on for long.The Boston study was first aimed at helping babies (40)_____ skin is too delicate for standard band-aids. But adults with sensitive skin might also enjoy the benefits.Section BDirections: Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.A new report by the World Health Organization (WHO) reveals that around one in a hundred deaths worldwide is due to passive smoking, which kills an estimated 600,000 people a year.In the first study to assess the global __41__ of second-hand smoke, WHO experts find that children are more __42__ exposed to second-hand smoke than any other age-group, and around 165,000 of them a year die because of it.Children’s exposure to second-hand smoke is most likely to happen at home, and thedouble blow of infectious diseases and tobacco seems to be a deadly __43__ for children in these regions. Commenting on the findings, Heather Wipfli and Jonathan Samet from the University of Southern California, said policymakers try to __44__ families to stop smoking in the home.While deaths due to passive smoking in children were skewed (曲解) toward poor and middle-income countries, deaths in adults were __45__ across countries at all income levels.In Europe’s high-income countries, only 71 child deaths occurred, while 35,388 deaths were in adults. Yet in the countries like Africa, an estimated 43,375 deaths due to passive smoking were in children __46__ with 9,514 in adults.Only 7.4 percent of the world population currently lives in places with __47__ smoke-free laws, and those laws are not always __48__ enforced (施行). In places where smoke-free rules are __49__, research shows that exposure to second-hand smoke in high-risk places like bars and restaurants can be cut by 90 percent, and in general by 60 percent, the researchers said.Studies also show such laws help to reduce the number of cigarettes smoked by smokers and lead to higher __50__ rates in those trying to quit.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.Due to rising pollution and a strengthening yuan, Beijing saw its tourist numbers drop to 4.20 million visits from January to November in 2013 from 5.01 million visits in 2012.The number of overseas travelers to Beijing grew after the city hosted the 2008 Olympics until 2012, when it saw a 3.8% __51__, followed by the further drop last year. The unexpected drop in 2013 came __52__ new policies introduced in a(n) __53__ to support China’s tourism industry. But only 14,000 tourists __54__ the visa-free stopover, according to the Beijing General Station of Exit and Entry Frontier Inspection, well short of the 20,000 target officials had __55__ predicted.Jiang Yiyi, deputy director of the Institute of International Tourism at the China Tourism Academy, __56__ part of the drop-off in foreign tourists to the strengthening yuan.In 2013, the yuan increased almost 3% against the U.S. dollar, making “Beijing a more expensive __57__ than in the past”, Jiang Yiyi noted.“At the same time,” she said, “other countries have seen their tourist numbers grow as the currencies (货币) __58__. While RMB is on the rise, currencies from some of China’s __59__ for tourism, such as Japan, are depreciating (贬值), meaning travel to some other Asian countries has been getting cheaper while travel to China is becoming more expensive,” Jiang Yiyi said. In 2013, the Japanese yen fell 21% against the U.S. dollar, __60__ 10 million overseas tourists.The Beijing Tourism Development Commission noted that the country’s battle with pollution is another __61__ cities face in attracting overseas tourists.Heavy air pollution from Beijing to Shanghai, where pollution levels went off the charts in December, __62__ don’t do much to help attract tourists.China’s tourism officials are expecting to __63__ the trend of declining overseas visitors in 2014 — possible, experts say, if it __64__ its outdated tour packages and lowers ticket prices.Jiang Yiyi at the China Tourism Academy suggests China adopt a long-term national plan to __65__ the country’s image and investment in overseas tourism to attract more visitors.51. A. growth B. decline C. change D. influence52. A. in addition to B. by means of C. as a result of D. in spite of53. A. attempt B. agreement C. hurry D. mood54. A. got familiar with B. came up with C. took advantage of D. put emphasis on55. A. fortunately B. frequently C. previously D. occasionally56. A. devoted B. owed C. attached D. exposed57. A. destination B. tourism C. authority D. association58. A. reform B. collapse C. stabilize D. weaken59. A. competitors B. supporters C. investors D. reminders60. A. inspiring B. attracting C. disappointing D. embarrassing61. A. opportunity B. situation C. obstacle D. alternative62. A. relevantly B. approximately C. dramatically D. certainly63. A. set B. reverse C. confirm D. follow64. A. revises B. sells C. excludes D. demonstrates65. A. create B. keep C. damage D. improveSection 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)On “Super Bowl Sunday”, millions of Americans are glued to their TVs. They are eating pizza, chicken wings and chips and cheering every move. They’re watching the Super Bowl.Why are Americans so crazy about American football? Well, it is more exciting than other sports. One team can lose possession of the ball in a minute, which may allow their opponents to make a touchdown (触地得分). Then that team may win the game unexpectedly.The Super Bowl also entertains its audience with a great halftime show. The football field is turned into a stage. Then an impressive performance of dancing and singing with special effects occurs.Since the Super Bowl is the most-watched TV program in America, commercial airtime is also very expensive. Big money is also spent on commercials. They draw the viewers’attention and advertise their image or products during the commercial break.After football season, the “March Madness”begins. The NCAA (National Collegiate Athletic Association) competitions begin with 68 men’s college basketball teams. They play until the field is reduced to the “Final Four”. The winning team becomes the national champion. The NBA (National Basketball Association) All-Star game is also held in February. The best players from all the teams play in this game.Baseball is no doubt American’s national sport. From grandpas to young kids, whole families go to ball games together. They wear their favorite team’s caps or even carry their mascot (吉祥物). Our family went to watch Wang Chien-Ming play in D.C. once. We ate hot dogs, waved flags and sang during the 7th inning (棒球的一局) stretch.If you are not a sports fan yet, come and pick a sport or a team. Go to a ball game with your family, and cheer your team on. Sports are definitely a part of American culture one should not miss.66. According to the passage, the Super Bowl is _____.A. a well-received American football gameB. an expensive American sportC. an impressive TV performanceD. a most-watched TV series67. Which of the following may be one of the reasons for the popularity of the Super Bowl?A. Its results are too exciting to meet viewers’ expectations.B. People can eat pizza, chicken wings and chips when watching it.C. Its commercials are expensive enough to draw viewer s’ attention.D. The performances during its halftime show are appealing to viewers.68. Which of the following is TRUE according to the passage?A. Americans spend a large amount of money on ball games.B. American people of all ages like going to watch baseball games.C. All the American stars take part in the national basketball game.D. There are important national ball games in America almost every month.69. The passage is mainly written to _____.A. inform readers of the three popular sports in AmericaB. teach readers how to understand the sports culture in AmericaC. encourage readers to fit in with American culture through sportsD. show readers the importance of sports in young people’s life in America(B)70. Which of the following steps can be omitted if you want the robot to charge itself automatically?A. Press the HOME button on the remote control.B. Clear up the place around the charging home base.C. Turn on the power switch at the bottom of the robot.D. Put the charging home base against the wall and plug it in.71. If it’s 9:45PM now and you want the robot to start cleaning at 8:00AM tomorrow, you shouldset _____ on the robot.A. 13:45B. 10:15C. 8:00D. 1:4572. If you want the robot to start cleaning right now, you can _____.A. keep pressing the CLEAN button on the main body for 3 secondsB. press either of PLAN, SPOT, CLEAN and HOME buttons on the main bodyC. turn on the power switch and press the CLEAN button on the remote control onceD. press the CLEAN button on the main body once when the robot is in the sleeping mode73. The virtual wall is designed to _____.A. limit the robot to a certain areaB. prevent the robot from bumping into wallsC. stop the robot from reaching 4 metersD. create a bunch of light outside thedoorway(C)We have entered a new age of embedded (嵌入式的), intuitive (直觉的) computing in which our homes, cars, stores, farms, and factories have the ability to think, sense, understand, and respond to our needs. It’s not science fiction, but the dawn of a new age.Most people might not realize it yet, but we are already feeling the impact of what’s known as the third wave of computing. In small but significant ways it is helping us live healthier and more secure lives. If you drive a 2014 Mercedes Benz, for example, an “intelligent” system tries to keep you from hitting a pedestrian. A farmer in Nigeria relies on weather sensors that communicate with his mobile device. Forgot your medicine? A new pill bottle from AdhereTech reminds you through text or automatic phone messages that it’s time to take a pill.Technology is being integrated (融入) into our natural behaviors, with real-time data connecting our physical and digital worlds. With this dramatic shift in our relationship to technology, companies can adapt their products and services.To understand how revolutionary the third wave is, we ought to consider how far we have come. The first wave began when companies started to manage their operations throughmainframe computer systems over 50 years ago. Then computing got “personal” in the 1980s and the 1990s with the introduction of the PC (personal computer). For the most part, computing remained immobile and lacked contextual awareness.In computing’s second wave, mobile computing and the smartphone took center stage. Billions of people, some of whom might not have had access to clean water, electricity, or even housing, were connected. Developers created applications and provided consumers with access to just about everything through their phone at the cost of a monthly data plan.As the third wave keeps developing, designers must meet the demands of consumers who want to experiment with new technology.Historically, designers have focused their attention on a product’s form and function. While that still matters, of course, the definition of a meaningful user experience has expanded significantly and will continue to do so. Instead of creating a single product, designers will need to imagine a series of connected products and services that have awareness of each other and their surroundings.74. Why are three examples given in Paragraph 2?A. To tell us that human beings are smarter and smarter.B. To illustrate the importance and necessity of technology.C. To prove that we are living healthier and more secure lives.D. To show the impact of the third wave of computing on our life.75. In the first wave of computing _____.A. companies’ operations were reliable on computer systemsB. computing had awareness of people’s needs in the contextC. people could have access to computing almost everywhereD. it was possible for people to experience computing at home76. Which of the following is a situation in the third wave of computing?A. There’s no need to create a single product.B. The definition of the user experience is more significant.C. Products and services are not independent of each other.D. The products’ form and functions are no longer important.77. What can we conclude from the passage about the new age we are facing?A. There’s a shift of attention from people’s physical worlds to their digital worlds.B. There’s closer relationship between technology and people’s natural behaviours.C. People live more happily with the convenience brought by advanced technology.D. People become lazier with the products that can think and respond to their needs.Section CDirections: Read the passage carefully. Then answer the questions or complete the statements in the fewest possible words.How many hours do you spend sitting in a chair every day? Eight hours in the office plus three hours in front of the TV after work is the usual situation for many people.You probably don’t need an expert to tell you that sitting too much is not good for your health —from an increased risk of heart disease and obesity (肥胖) in the long term, to reduced cholesterol (胆固醇) maintenance in the short term, not to mention the pressure on your neck and spine (脊柱).To make matters worse, a growing body of research suggests that the negative effects of sitting too much cannot be countered with a good diet and regular exercise, according to an article in The New York Times. The article reported that a study of nearly 9, 000 Australians found that for each additional hour of television a person watched per day, the risk of dying rose by 11 percent. In other words, sitting is killing us.Stand up for health. Health experts suggest we break up those many hours spent sitting with more hours spent standing.The BBC and the University of Chester in the UK conducted a simple experiment with a small group of 10 volunteers who usually spent most of the day sitting. They were asked to stand for at least three hours a day. The researchers took measurements on days when the volunteers stood, and when they sat around. When they looked at the data, there were some striking differences. Blood sugar became level after a meal much quicker on the days when the volunteers in the study stood compared with the days they spent in a chair. Standing also burned more calories (热量单位:卡路里)—about 50 calories an hour. Over the course of a year that would add up to about 30, 000 extra calories, or around 3.63 kilograms of fat.John Buckley, a member of the research team, said that although doing exercise offers many proven benefits, our bodies also need the constant, almost imperceptible (感觉不到的) increase in muscle activity that standing provides. Simple movement helps us to keep our all-important blood sugar under control.The researchers believe that even small adjustments, like standing while talking on the phone, going over to talk to a colleague rather than sending an e-mail, or simply taking the stairs instead of the elevator, will help.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)78. According to the context, the underlined expression “be countered with” in Paragraph 3can best be replaced by “________”.79. The two findings of the simple experiment conducted by the BBC and the University ofChester in the UK are that standing _________.80. Why is standing better than doing exercise according to John Buckley?81. What does the passage mainly want to tell us?第II卷(共47分)I. TranslationDirections:Translate the following sentences into English, using the words given in the brackets.1. 你认为有必要采取措施保护上海方言吗?(it)2. 提前做出周密计划可以帮你更有效地完成这项艰巨任务。
2014年安徽省安庆市中考模拟考试(二模)数学试题及答案(word版)

安庆市2014年中考模拟考试(二模)数学试题一、选择题(40分)1、实数0,51,π,-1中,无理数是( )A 、0B 、51C 、πD 、-12、2013年12月2日凌晨1:30,“嫦娥三号”探测器在四川省西昌卫星发射中心发射升空,它携“玉兔号”月球车首次实现月球软着陆和月面巡视勘察,并开展月表形貌与地质构造调查等科学探测。
地球到月球的平均距离是384400千米,把384400这个数用科学记数法表示为( ) A 、3103844⨯ B 、31044.38⨯ C 、410844.3⨯ D 、510844.3⨯ 3、如图,该几何体的左视图是( )4、数轴上点A 表示的实数可能是( )A 、7B 、10C 、17D 、21 5、下列运算正确的是( )A 、842a a a =•B 、xy y x 743=+C 、4)222-=-x x ( D 、2632a a a =• 6、如图,BD 平分∠ABC ,CD ∥AB ,若∠BCD=70°,则∠CDB 的度数是( ) A 、55° B 、50° C 、45° D 、30°7、如图,AB 是⊙O 的弦,AB=6,OD ⊥AB 于点D ,且交弧AB 于点C ,若OB=5,则CD 的长度是( ) A 、0.5 B 、1 C 、1.5 D 、2 8、已知一次函数y=kx+k-1和反比例函数xky =,则这两个函数在同一平面直角坐标系中的图像不可能是( )9、对于实数x ,我们规定[x]表示不大于x 的最大整数,例如[1.2]=1,[3]=3,[-2.5]=-3.若[104+x ]=5,则x 的取值可以是( )A 、51B 、45C 、40D 、5610、已知,如图,边长为2cm 的等边△ABC (BC 落在直线MN 上,且点C 与点M 重合)沿MN 所在的直线以1cm/s 的速度向右作匀速直线运动,MN=4cm ,则△ABC 和正方形XYNM 重叠部分的面积S (2cm )与运动所用时间t (s )之间函数的大致图像是( )二、填空题(20分)11、分解因式:=+-251023a a 。
河南省开封市2014届高三第二次模拟考试试卷 理科综合 含答案

开封市2014届高三第二次模拟考试高三理科综合试题注意事项:1.本试卷分第I卷(选择题)和第Ⅱ卷(非选择题)两部分.答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答第I卷时,选出每小题答案后,用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其他答案标号。
写在本试卷上无效。
3.回答第Ⅱ卷时,将答案写在答题卡上.写在本试卷上无效.4.考试结束后,将本试卷和答题卡一并交回。
可能用到的相对原子质量:H:1 C:12 N:14 O:16 Ti:48 1:127 W:184 Hg:201第I卷一、选择题(本题包括13小题,每小题6分,共78分,每小题只有一个合理的选项)1.下图表示人体内肾上腺素合成的简化过程,下列有关叙述正确的是A.酪氨酸为非必需氨基酸,食物甲若不含酪氨酸,则人体不能合成肾上腺素B.与肾上腺素合成和分泌有关的细胞器有核糖体、内质网、高尔基体和线粒体C.肾上腺素由肾上腺通过导管直接分泌到血液,促使血糖在血液中的利用和贮存D.肾上腺素随体液运输到靶细胞,与靶细胞结合作用后灭活2.图甲是H2O2酶活性受pH影响的曲线,图乙表示在最适温度下,pH=b时H2O2分解产生的O2量随时间的变化。
下列关于该酶促反应的叙述正确的是A.pH=c,H2O2不分解,e点永远为0B.pH=a,e点下移,d点左移C.温度降低5℃条件下,e点不移,d点右移D.H2O2量增加时,e点不移,d点左移3.图甲示骨髓细胞有丝分裂中DNA含量随时间的变化曲线,图乙、丙示性腺细胞分裂的两个时期的结构模式图,a、b表示染色体片段。
下列有关叙述错误的是A.据图甲知骨髓细胞的细胞周期是20小时B.图乙细胞处在减数第二次分裂中期,此时期没有遗传物质的复制C.乙、丙两图说明分裂过程中可能发生基因重组D.同源染色体上等位基因的分离可发生在乙、丙两图所处的分裂时期4.下图为某实验动物感染HIV后的情况,下列叙述错误的是A.从图①可以看出,HIV感典过程中存在逆转录现象B.从图②可以看出,HIV侵入后机体能产生体液免疫C.从图③可以看出,HIV可能对实验药物a敏感D.从图④可以看出,HIV可能对实验药物b敏感5.下图为小麦种子形成过程中各种植物激素的含量变化,下列有关叙述错误的是A.小麦种子成熟后赤霉素合成量较小B.小麦种子形成初期细胞分裂素合成旺盛C.小麦种子鲜重的增加仅取决于生长素的含量D.小麦种子的形成受多种植物激素的平衡协调作用6.右图表示生活在一自然区域内的部分生物,下列有关叙述合理的是A.该食物网构成一个生物群落B.虫获得的能量约占草能量的10~20% C.鹰获取能量较多的食物链是草→虫→蛙→蛇→鹰D.若蛇种群的年龄组成为增长型,则鹰种群密度可能增大7.下列有关说法中,不正确的是A.焰火的五彩缤纷是某些金属元素的性质的展现B.SiO2可用于制造光导纤维,其性质稳定,不溶于强酸、强碱C.“光化学烟雾”、“硝酸型酸雨”的形成都与氮氧化合物有关D.根据分散质微粒直径大小可以将分散系分为溶液、胶体和浊液8.下列与有机结构、性质相关的叙述中,正确的是A。
【恒心】(2014吉林二模)2014届吉林省吉林市高三下学期第二次模拟考试英语试题及参考答案

吉林市普通中学2013—2014学年度高中毕业班下学期期中教学质量检测英语本试卷分第一卷(选择题)和第二卷(非选择题)两部分。
第一卷1至10页,第二卷11至12页。
共150分。
考试时间120分钟。
注意事项:请按照题号顺序在答题纸上各题目的答题区域内作答,超出答题区域书写的答案无效;在草稿纸、试题卷上答题无效。
第I卷第一部分:听力部分(共两节, 满分30分)第一节(共5小题;每小题1.5分, 满分7.5分)听下面5段对话。
每段对话后一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。
听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1. Where does the conversation probably take place?A. In the street.B. At the drugstore.C. In the cinema.2. How many students are there in the class?A. 46.B. 52.C. 40.3. What is the man going to do this weekend?A. Go to the picnic.B. Work in his garden.C. Go to the company.4. What do you judge from what the man says?A. The man always studies hard.B. The man regrets that he didn’t study ha rd.C. The man doesn’t think he is wrong.5. What can we learn from the conversation?A. The woman wants to clean the room.B. The man’s room is very clean.C. The room hasn’t been cleaned since Linda came.第二节(15小题;每小题1.5分, 满分22.5分)听下面5段对话或独白。
【2014锦州二模】辽宁省锦州市2014届高三第二次模拟考试 数学理试题 PDF版含答案

(A) 1 3
(B)- 1 3 (B)5
(A)1
乙
a 1
xadx 的值为 (C) 8 3
(C)- 姨 2 3
(D) - 2姨2 3 (D) 7 3
(理一) 第 1 页 (共 4 页) 高三数学
仔) (7)命题 p : 埚x0沂R , 使得 x2+x+1<0, 命题 q : 坌x沂 (0, , x>sinx. 则下列命题中真命题为 2 开始 (A) (劭p) 夷q (B)p 遗 (劭q) S=0 (C)p 夷q k=k +1 (D) (劭p) 夷 (劭q) n=2 (8)已知程序框图如图所示, 则该程序框图的功能是 n=n+2 k=1 1 * (A)求数列 的前 10 项的和 (n沂N ) n S=S+ 1 n 1 是 (B)求数列 的前 10 项的和 (n沂N*) k 臆10 n+1 否 1 输出 S 的前 10 项的和 (n沂N*) (C)求数列 2n 1 结束 (D)求数列 的前 11 项的和 (n沂N*) 2n+1
5 (6)若 (x+a) 的展开式中 x2 的系数为 80, 则
本大题共 12 小题, 每小题 5 分, 共 60 分. 在每小题给出的四个选项中, 只有一 一、 选择题: 项是符合题目要求的. N={x|lgx逸0}, 则 M胰N= (1)已知集合 M={x|3+2x-x2>0}, (A) (3, +肄) (B) [1, 3) (C) (1, 3) (D) (-1, +肄)
嗓 瑟 嗓 瑟 嗓 瑟 嗓 瑟 嗓
(11)已知正项等比数列{an}满足 4a1, 2a2, a3 成等差数列. 若存在两项 am, an 使得 姨aman =4a1, 9 1 则 + 的最小值为 m n (A) 8 (B) 11 (C) 14 (D) 17 3 4 5 6 (12)设函 数 y= ( f x) 定义域为 (- 肄 , + 肄) , 满足 f (x + 1) = 2f (x - 1) , 当 x沂 [0 , 2) 时, x沂 [0, 1) 4-x2-3x, 则实数 m 的取值范围 ( f x) = , 若 x沂 [-4, -2) 时, ( f x) 臆 m + 3 恒成立, log4x, x沂 [1, 2) 4 4m (A) (-肄, 0] 胰 [1, 3) (B) (0, 1] 胰 [3, +肄) (C) (0, 1) 胰 [3, +肄) (D) (0, 1] 胰 (3, +肄)
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1.已知全集R U =,集合{}2|0A x x x =->,{}|ln 0B x x =≤,则()U C A B =
A .(0,1]
B .(,0)
(1,)-∞+∞ C .∅ D .(0,1) 2.下面是关于复数21z i =
-+的四个命题:其中的真命题为 ( ) 1:2p z = 22:2p z i = 3:p z 的共轭复数为1i + 4:p z 的虚部为1- A .23,p p B .12,p p C .,p p 24 D .,p p 34
3.某中学高中一年级有400人,高中二年级有320人,高中三年级有280人,现从中抽取一个容量为200人的样本,则高中二年级被抽取的人数为 A .28 B .32 C .40 D .64
4、关于x 的不等式20()x ax a a R -+>∈在R 上恒成立的充分不必要条件是
A .04a a <>或
B .02a <<
C .04a <<
D .08a <<
5、执行右面的程序框图,输出的S 的值为 (A) 1 (B) 2 (C) 3 (D) 4
6、在△ABC 中,若22sin 53,sin 2C b a ac A =-=,则cosB 的值为 (A) 13 (B) 12 (C) 15 (D) 14
7、已知221,02(),(),20
x x g x ax a f x x x ⎧-≤≤=+=⎨--≤<⎩,对12[2,2],[2,2]x x ∀∈-∃∈-,使12()()
g x f x =成立,则a 的取值范围是 (A)[-1,+∞) (B)[-1,1] (C) (0,1] (D)(-∞,l]
8、点M(x ,y )是平面区域0010240
x y x y x y ≥⎧⎪≥⎪⎨-+≥⎪⎪+-≤⎩内的动点,则22(1)(1)x y +++的最大值是 (A)10 (B) 495
(C) (D)13 9、已知中心在原点、焦点在x 轴上的椭圆C 1与双曲线C 2有共同的焦点,设左右焦点分别为F 1,F 2,P 是C 1与C 2在第一象限的交点,∆PF 1F 2是以PF 1为底边的等腰三角形,若椭圆与双曲线的离心率分别为e 1,e 2,则e 1·e 2的取值
范围是 (A)(19,+∞) (B)(15,+∞) (C) (13
,+∞) (D)(0,+∞) 10.函数()f x 的定义域为A ,若存在非零实数t ,使得对于任意()x C C A ∈⊆有,x t A +∈且()()f x t f x +≤,则称()f x 为C 上的t 度低调函数.已知定义域为[)0+∞,的函数()=3f x mx --,且()f x 为[)0+∞,上的6度低调函数,那么实数m 的取值范围是( )A .(][),01,-∞+∞ B .[)+∞1, C .(],0-∞ D .[]0,1
11.已知各项为正的等比数列{}n a 中,7a 与11a 是函数2()68f x x x =-+的零点,则231152log log a a -=
12.已知命题p :“x R ∃∈,使23208
ax ax +->”,若命题p 是假命题,则实数a 的取值范围为 . 13. 下列四个命题:①圆22(2)(1)4x y +++=与直线20x y -=相交,所得弦长为2;②直线kx y =与圆
1)sin ()cos (22=-+-θθy x 恒有公共点;③若棱长为3的正方体的顶点都在同一球面上,则该球的表面积为
108π;④若棱长为2
的正四面体的顶点都在同一球面上,则该球的体积为2
其中,正确命题的序号为 写出所有正确命的序号) 14有下列数组排成一排:1
21321432114321(),(,),(,,),(,,,),(,,,,),112123123452345
如果把上述数组中的括号都去掉会
形成一个数列:121321132154321
,,,,,,,,,,,,,,,112123423412345则此数列中的第2014项是
15、在直角坐标系内,直线L 的方程为ax+by+c=0,设A (x 1,y 1),B (x 2,y 2)为不同的两点,且点B 不在直线L 上,实数λ满足ax 1+by 1+λ(ax 2+by 2+c )=0,给出以下四个命题:①不存在λ,使点A 直线L 上;②存在λ使曲线满足 (x- x 1)(x- x 2)+(y-y 1)(y --y 2)=0;③若λ=-1,则过A 、B 两点的直线与直线L 平行;④若λ〉0,则在A 、B 两点的直线与直线L 的两侧;其中正确的命题的序号为: 。
16.在ABC ∆中,角A ,B ,C 所对的边分别是a ,b ,c ,已知2c =,3C π=
. (1)若ABC ∆
求a ,b ;(2)若sin sin()2sin 2C B A A +-=,求ABC ∆的面积.
17.2014年1月份,我国北方部分城市出现雾霾天气,形成雾霾天气主要原因与 2.5PM 有关.
2.5PM 是指大气中直径小于或等于2.5微米的颗粒物,也称为可入肺颗粒物. 2.5PM 日均值
越小,空气质量越好. 2012年2月29日,国家环保部发布的《环境空气质量标准》见下表:
某环保部门为了了解甲、乙两市的空气质量状况,在过去某月的30天中分别随机抽取了甲、
乙两市6天的 2.5PM 日均值作为样本,样本数据茎叶图如上右图所示(十位为茎,个位为叶).
(Ⅰ)分别求出甲、乙两市 2.5PM 日均值的样本平均数,并由此判断哪个市的空气质量较好;
(Ⅱ)若从甲市这6天的样本数据中随机抽取两天的数据,求恰有一天空气质量超标的概率
18、如图是某直三棱柱(侧棱与底面垂直)被削去上底后的直观图与三视图的侧
视图、俯视图,在直观图中,M 是BD 的中点,侧视图是直角梯形,俯视图是等
腰直角三角形,有关数据如图所示.(Ⅰ)求出该几何体的体积。
(Ⅱ)若N 是BC 的 中点,求证://AN 平面CME ;(Ⅲ)求证:平面BDE ⊥平面BCD .
(19)、设等差数列{}n a 的前n 项和为n S ,已知12a =,622S =.(1)求n S ;(2)
若从{}n a 中抽取一个公比为q 的等比数列{}n k a ,其中11k =,且12n k k k <<<,*
n k N ∈.①当q 取最小值时,求{}n k 的通项公式; ②若关于*()n n N ∈的不等式16n n S k +>有解,试求q 的值.
20、 已知椭圆22221x y a b +=(a>b>0)经过点
1)
. (I)求椭圆的标准方程; (II)已知点
,0),若A ,B 为已知椭圆上两动点,且满足2PA PB =-,试问直线AB 是否恒过定点,若恒过定点,请给出证明,并求出该定点的坐标;若不过,请说明理由.
21、 已知函数2()(1)x f x k x e x =-+. (I)当时1
k e
=-,求函数()f x 在点(1,1)处的切线方程; (II)若在y 轴的左侧,函数2()(2)g x x k x =++的图象恒在()f x 的导函数'()f x 图象的上方,求k 的取值范围;
(III)当k≤-l 时,求函数()f x 在[k ,l]上的最小值m 。
侧视图 俯视图 M
D E B A
C
N。