泄露天机——2016年金太阳高考押题 精粹 英语 (学生用卷)

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111泄露天机——2016年金太阳高考押题 精粹 地理(教师用卷) (1)

111泄露天机——2016年金太阳高考押题 精粹 地理(教师用卷) (1)

泄露天机——2016年金太阳高考押题精粹地理本卷共48题,两种题型:选择题、非选择题。

选择题32小题,非选择题16小题(含选修6小题)。

一、选择题(32个小题)党的十八届五中全会决定全面实施一对夫妇可生育两个孩子的政策,这意味着长达30多年的独生子女政策正式结束。

读我国15~64岁年龄段人口变化图,完成1~2题。

我国15~64岁年龄段人口变化图1.2015年后,我国人口变化的特点是()A.少儿人口数量减少 B.总人口数量不断减少C.老年人口比重下降 D.劳动力数量不断减少2.开始实施“二孩”政策后的十年内,我国()A.仍应积极推进养老产业发展 B.劳动年龄人口的抚养压力减轻C.人口老龄化问题能得到解决 D.“用工荒”问题会得到缓解产品周期理论把产品的发展分为三个阶段:新产品阶段、成熟产品阶段和标准化产品阶段。

读日本汽车工业在东亚和东南亚的国际分工形态示意图,完成3~4题。

3.下列关于图中各区间所代表企业类别的描述,正确的是()A.①——东南亚本土企业 B.②——日本国内企业C.③——东亚日资企业 D.④——中国本土企业4.下列关于图中国际分工的解释,正确的是()A.发达国家承担生产的产品标准化程度高B.影响产品附加值的主要因素是标准化程度C.产品的创新度越高标准化程度越高D.影响产品附加值的主要因素是技术含量2015年7月,新华网发布了《国家应对人口老龄化战略研究总报告》的文章,文章指出,我国人口老龄化发展态势迅猛,预计2012~2050年,我国老年人口将由1.94亿增长到4.83亿,老龄化水平由14.3%提高到34.1%,是世界上人口老龄化速度最快的国家之一。

发达国家长时期、分阶段出现的老龄问题将在我国压缩到短期内同步呈现,集中爆发。

读2010~2050年中国人口老龄化趋势图,完成5~6题。

注:高龄化是指年龄在80岁以上的老人群体占全体老人(大于60岁或65岁)的比例趋于上升的过程。

5.与发达国家相比,目前我国老龄化的特点有()①老年人口绝对规模大②老龄化发展速度快③老年人口高龄化显著④老年人口比重高A.①② B.③④ C.①③ D.②④6.我国的老龄问题被压缩到短期内同步呈现、集中爆发的主要原因是()A.经济发展速度快 B.大量国外移民迁入C.计划生育政策的实施 D.环境人口容量下降2016年2月23日,我国农业部正式发布《关于推进马铃薯产业开发的指导意见》,将马铃薯作为主粮产品进行产业化开发。

泄露天机——2016年金太阳高考押题 精粹 数理(学生用卷)

泄露天机——2016年金太阳高考押题 精粹 数理(学生用卷)

泄露天机——2016年金太阳高考押题 精粹数学理科本卷共48题,三种题型:选择题、填空题和解答题。

选择题30小题,填空题4小题,解答题14小题。

一、选择题(30个小题)1.已知集合22{|log 1},{|60},A x x B x x x =≥=--<则()R A B ð等于( )A.{|21}x x -<<B.{|22}x x -<<C.{|23}x x ≤<D.{|2}x x <2. 已知复数()4i1ib z b R +=∈-的实部为1-,则复数z b -在复平面上对应的点位于( ) A .第一象限 B .第二象限 C .第三象限 D .第四象限3.若复数z 满足()1i 1i i z -=-+,则z 的实部为( )A.121 C.1D.124.下列函数中,既是奇函数又在区间(0,)2π上是减函数的是( )A .3y x = B. sin y x =- C .21y x =+ D .cos yx =5.若()(),,,A a b B c d 是()ln f x x =图象上不同两点,则下列各点一定在()f x 图象上的是( ) A.(),a c b d ++ B.()a c bd +, C.(),ac b d + D.(),ac bd6.双曲线22:13y C x -=的顶点到渐近线的距离与焦点到渐近线的距离之比为( ) A.12B.27.在区间[]1,1-内随机取两个实数x ,y ,则满足12-≥xy 的概率是( )A.92 B.97 C.61D.568.执行如图所示的程序框图,输出的结果S 的值是( )A .2B .-12C .-3D .139.一个算法的程序框图如右图所示,若输入的x 值为2016,则输出的i 值为 ( )A.3B.4C.5D.610.若向量,a b 满足||||2==a b ,a b 与的夹角为60︒,a 在+a b 上的投影等于 ( )A.2 B.2C. 3D.4+2 311.不等式组2503020x y x y x y +-⎧⎪-⎨⎪-⎩≤≥≤的解集记为D ,11y z x +=+,有下面四个命题: p 1:(,)x y D ∀∈,1z ≥ p 2:(,)x y D ∃∈,1z ≥ p 3:(,)x y D ∀∈,2z ≤ p 4:(,)x y D ∃∈,0z <其中的真命题是 ( ) A .p 1,p 2 B .p 1,p 3 C .p 1,p 4D .p 2,p 312.“牟合方盖”是我国古代数学家刘徽在研究球的体积的过程中构造的一个和谐优美的几何体.它由完全相同的四个曲面构成,相对的两个曲面在同一个圆柱的侧面上,好似两个扣合(牟合)在一起的方形伞(方盖).其直观图如下左图,图中四边形是为体现其直观性所作的辅助线.当其主视图和侧视图完全相同时,它的俯视图可能是( )13.一个几何体的三视图如图2所示(单位:cm),则该几何体的体积是( )A.2333cm B.2233cmC.4763cmD.73cm14.若数列{n a }满足11n a --1=nd a (d N n ,*∈为常数),则称数列{n a }为调和数列.已知数列{1nx }为调和数列,且x 1+x 2+…+x 20=200,则165x x +等于( ) A .10 B .20 C .30 D .4015.《九章算术》之后,人们学会了用等差数列的知识来解决问题,《张丘建算经》卷上第22题为:“今有女善织,日益功疾(注:从第2天开始,每天比前一天多织相同量的布),第一天织5尺布,现一月(按30天计)共织390尺布”,则从第2天起每天比前一天多织( )尺布.A .21 B.158 C.3116D.291616.在某次联考测试中,学生数学成绩X ()()21000N σσ> ,,若,8.0)12080(=<<X P 则)800(<<X P 等于( )A .0.05B .0.1C .0.15D .0.217.由1,2,3,0组成没有重复数字的三位数,其中0不在个位上,则这些三位数的和为( )A.2544B.1332C.2532D.132018.已知()2cos 2,21xxf x ax x =+++若π()3f =2,则π()3f -等于( )A.2-B.1-C.0D. 119.函数()()sin 2()2f x A x πϕϕ=+≤部分图象如图所示,对不同的[]b a x x ,,21∈,若()()21x f x f =,有()321=+x x f ,则( )A .()x f 在5(,)1212ππ-上是减函数 B .()x f 在5(,)36ππ上是减函数C .()x f 在5(,)1212ππ-上是增函数 D .()x f 在5(,)36ππ上是增函数20.若()()7280128112x x a a x a x a x +-=+++⋅⋅⋅+,则127a a a ++⋅⋅⋅+的值是( )A.2-B.3- C .125 D.131-21.设点A 、(),0F c 分别是双曲线22221(0,0)x y a b a b -=>>的右顶点、右焦点,直线2a x c=交该双曲线的一条渐近线于点P .若PAF ∆是等腰三角形,则此双曲线的离心率为( )3 C.222.过抛物线2y x =4焦点F 的直线交其于B A ,两点,O 为坐标原点.若3=AF ,则AOB ∆的面积为( )A.2B. C.223.已知圆221:20C x cx y ++=,圆222:20C x cx y -+=,椭圆22:1(0)x y C a b +=>>的焦距为2c ,若圆,C C 都在椭圆C 内,则椭圆C 离心率的范围是( )A .1[,1)2B .1(0]2, C .[2 D .(0]2, 24.已知向量AB 、AC 、AD 满足AC AB AD =+ ,2AB =,1AD = ,E 、F 分别是线段BC 、CD 的中点.若54DE BF ⋅=- ,则向量AB 与向量AD 的夹角为( )A .π3B .2π3C .π6D .5π625.已知函数()⎩⎨⎧<+≥+=0,0,3x b ax x x x f 满足条件:对于R ∈∀1x ,∃唯一的R ∈2x ,使得()()21x f x f =.当()()b f a f 32=成立时,则实数=+b a ( )A.26B.26-C.26+3D.26-+3 26.函数2ln xy x=的图象大致为( )27.已知定义在(0,)2π上的函数()f x ,()f x '为其导数,且()()tan f x f x x '<恒成立,则( )()()43ππ>()()64f ππ>()()63f ππ< D.()12()sin16f f π<⋅28.若过点(),P a a 与曲线()ln f x x x =相切的直线有两条,则实数a 的取值范围是( )A.(),e -∞ B.()e,+∞ C.10,e ⎛⎫⎪⎝⎭D.()1,+∞29.已知四边形ABCD 的对角线相交于一点,(AC = ,()BD = ,则AB CD ⋅ 的最小值是( )A.2B.4C.2-D.4-30.定义在R 上的函数()f x 对任意()1212,x x x x ≠都有()()12120f x f x x x -<-,且函数()1y f x =-的图象关于(1,0)成中心对称,若,s t 满足不等式()()2222f s s f t t -≤--,2t s-A .13,2⎡⎫--⎪⎢⎣⎭ B .13,2⎡⎤--⎢⎥⎣⎦ C .15,2⎡⎫--⎪⎢⎣⎭ D .15,2⎡⎤--⎢⎥⎣⎦ 二、填空题(4个小题)31.已知边长为3的正ABC ∆的三个顶点都在球O 的表面上,且OA 与平面ABC 所成的角 为30 ,则球O 的表面积为________.32.设1>m ,当实数y x ,满足不等式组⎪⎩⎪⎨⎧≤+≤≥12y x x y x y 时,目标函数my x z +=的最大值等于2,则m 的值是_______.33.已知数列{}n a 中,对任意的*n ∈N ,若满足123n n n n a a a a s ++++++=(s 为常数),则称该数列为4阶等和数列,其中s 为4阶公和;若满足12n n n a a a t ++⋅⋅=(t 为常数),则称该数列为3阶等积数列,其中t 为3阶公积,已知数列{}n p 为首项为1的4阶等和数列,且满足3423212p p p p p p ===;数列{}n q 为公积为1的3阶等积数列,且121q q ==-,设n S 为数列{}n n p q ⋅的前n项和,则2016S = ___________.34.用()g n 表示自然数n 的所有因数中最大的那个奇数,例如:9的因数有1,3,9,()99,10g =的因数有1,2,5,10,()105g =,那么()()()()201512321g g g g +++⋅⋅⋅+-= .三、解答题(14个小题) 35.(本小题满分12分)在ABC ∆中,角,,A B C 所对的边分别为,,a b c ,已知()2cos 14sin sin B C B C -=+.(1)求A ;(2)若a =ABC ∆的面积b c +.36.(本小题满分12分)如图,在ABC ∆中,点D 在边BC 上,,4π=∠CAD 27=AC ,102cos -=∠ADB .(1)求C ∠sin 的值;(2)若ABD ∆的面积为7,求AB 的长.37.(本小题满分12分)已知公差不为0的等差数列{}n a 中,12a =,且2481,1,1a a a +++成等比数列. (1)求数列{}n a 通项公式;(2)设数列{n b }满足3n n b a =,求适合方程1223145 (32)n n b b b b b b ++++=的正整数n 的值.38.(本小题满分12分)设*n N ∈,数列{}n a 的前n 项和为n S ,已知12n n n S S a +=++,125,,a a a 成等比数列.(1)求数列{}n a 的通项公式; (2)若数列{}n b满足1n a nnb a +=,求数列{}nb 的前n 项和n T .39.(本小题满分12分)近年来我国电子商务行业迎来发展的新机遇,2015年双11期间,某购物平台的销售业绩高达918亿人民币.与此同时,相关管理部门推出了针对电商的商品和服务的评价体系.现从评价系统中选出200次成功交易,并对其评价进行统计,对商品的好评率为0.6,对服务的好评率为0.75,其中对商品和服务都做出好评的交易为80次.(1)能否在犯错误的概率不超过0.001的前提下,认为商品好评与服务好评有关?(2)若将频率视为概率,某人在该购物平台上进行的5次购物中,设对商品和服务全好评的次数为随机变量X :①求对商品和服务全好评的次数X 的分布列(概率用组合数算式表示); ②求X 的数学期望和方差.2()0.150.100.050.0250.0100.0050.001P K k ≥(22()()()()()n ad bcKa b c d a c b d-=++++,其中n a b c d=+++)40.(本小题满分12分)某市组织高一全体学生参加计算机操作比赛,等级分为1至10分,随机调阅了A、B两所学校各60名学生的成绩,得到样本数据如下:(1)计算两校样本数据的均值和方差,并根据所得数据进行比较;(2) 记事件C为“A校学生计算机优秀成绩高于B校学生计算机优秀成绩”.假设7分或7分以上为优秀成绩,两校学生计算机成绩相互独立.根据所给样本数据,以事件发生的频率作为相应事件发生的概率,求事件C的概率.41.(本小题满分12分)如图,已知矩形ABCD所在平面垂直于直角梯形ABPE所在平面,平面ABCD 平面ABPE=AB,且2,1AB BP AD AE====,,AE AB⊥且AE∥BP.(1)设点M为棱PD中点,求证:EM∥平面ABCD;(2)线段PD上是否存在一点N,使得直线BN与平面PCD所成角的正弦值等于25?若存在,试确定点N的位置;若不存在,请说明理由.42.(本小题满分12分)正方形ADEF 与梯形ABCD 所在平面互相垂直,,//,AD CD AB CD ⊥122AB AD CD ===,点M 在线段EC 上且不与C E ,重合.(1)当点M 是EC 中点时,求证:ADEF BM 平面//;(2)当平面BDM 与平面ABF 所成锐二面角的余弦值为66时,求三棱锥BDE M -的体积.43.(本小题满分12分)已知点F 是椭圆)0(11222>=++a y ax 的右焦点,点(,0)M m 、(0,)N n 分别是x 轴、y 轴上的动点,且满足0=⋅.若点P 满足+=2.(1)求点P 的轨迹C 的方程;(2)设过点F 任作一直线与点P 的轨迹交于A 、B 两点,直线OA 、OB 与直线a x -=分别交于点S 、T (O 为坐标原点),试判断FS FT ⋅是否为定值?若是,求出这个定值;若不是,请说明理由.44.(本小题满分12分)以椭圆2222:1(0)x y C a b a b +=>>(1)求椭圆C 的标准方程;(2)过原点且斜率不为0的直线l 与椭圆C 交于Q P ,两点,A 是椭圆C 的右顶点,直线AQ AP 、分别与y 轴交于点N M 、,问:以MN 为直径的圆是否恒过x 轴上的定点?若恒过x 轴上的定点,请求出该定点的坐标;若不恒过x 轴上的定点,请说明理由.45.(本小题满分12分)已知函数()ln 3f x a x ax =--(0a ≠). (1)讨论()f x 的单调性;(2)若()()140f x a x e +++-≤对任意2,x e e ⎡⎤∈⎣⎦恒成立,求实数a 的取值范围(e 为自然常数);(3)求证:()()()()2222ln 21ln 31ln 41ln 112ln !n n ++++++⋅⋅⋅++<+(2n ≥,n *∈N ). 所以原不等式成立46.(本小题满分12分)已知函数()(1)()x f x a x e a =--.(常数R a ∈且0a ≠). (1)证明:当0>a 时,函数()x f 有且只有一个极值点; (2)若函数()x f 存在两个极值点12,x x ,证明:()2140e x f <<且()2240e x f <<.47.(本小题满分10分)从下列三题中选做一题A.选修4-1:几何证明选讲如图所示,两个圆相内切于点T ,公切线为TN , 外圆的弦TC ,TD 分别交内圆于A 、B 两点, 并且外圆的弦CD 恰切内圆于点M . (1)证明://AB CD ;(2)证明:AC MD BD CM ⋅=⋅.B.选修4-4:坐标系与参数方程已知曲线C 的极坐标方程是4cos ρθ=.以极点为平面直角坐标系的原点,极轴为x 轴的正半轴,建立平面直角坐标系,直线l 的参数方程是1cos sin x t y t αα=+⎧⎨=⎩(t 为参数).(1)将曲线C 的极坐标方程化为直角坐标方程; (2)若直线l 与曲线C 相交于A 、B 两点,且AB =求直线l 的倾斜角α的值.C.选修4-5:不等式选讲 设函数()121f x x x =--+的最大值为m .(1)求m ; 22248.(本小题满分12分)从下列三题中选做一题 A.选修4-1:几何证明选讲在△ABC 中,AB=AC ,过点A 的直线与其外 接圆交于点P ,交BC 延长线于点D . (1)求证:PC PD =AC BD ;(2)若AC=3,求AP •AD 的值.B.选修4-4:坐标系与参数方程在以直角坐标原点O 为极点,x 轴的非负半轴为极轴的极坐标系下,曲线1C 的方程是1ρ=,将1C 向上平移1个单位得到曲线2C .(1)求曲线2C 的极坐标方程;(2)若曲线1C 的切线交曲线2C 于不同两点,M N ,切点为T .求TM TN⋅的取值范围.C.选修4-5:不等式选讲已知函数()|2|,f x m x m =--∈R ,且(2)1f x +≥的解集A 满足[]1,1A -⊆.(1)求实数m 的取值范围B ; (2)若(),,0,a b c ∈+∞,0m 为B 中的最小元素且011123m a b c ++=, 求证:9232a b c ++≥.泄露天机——2016年金太阳高考押题参考答案一、选择题(36个小题)1. 【答案】B 【解析】{}{}|2,|23,A x x B x x =≥=-<<得{}|2R A x x =<ð,{}()|22.R A B x x =-<< ð2. 【答案】C【解析】试题分析:41bi z i +=-=(4)(1)44(1)(1)22bi i b b i i i ++-+=+-+,则由412b -=-,得6b =,所以15z i =-+,所以75z b i -=--,其在复平面上对应点为(7,5)--,位于第三象限.3. 【答案】A【解析】由()1i 1i i z-=-+i ,得i i)(1i)1i (1i)(1i)z +==--+=11i 22+,所以z 的实部为12,故选A .【解析】选项C 、D 不是奇函数,3y x = 在R 上都是增函数,只有选项B 符合. 5. 【答案】C【解析】因为()(),,,Aa b B c d 在()ln f x x =图象上,所以ln b a = ,ln ,d c =所以ln ln ln b d a c ac +=+=,因此(),ac b d +在()ln f x x =图象上,故选C .6. 【答案】A【解析】1,2,a c ==∴ C 顶点到渐近线的距离与焦点到渐近线的距离之比为1.27. 【答案】D【解析】由题意知1111x y -≤≤-≤≤⎧⎨⎩表示的区域为边长为2的正方形,面积为4,满足12-≥x y 的区域即为图中阴影部分,面积为()1231111102112()|33x dx x x --⨯+-=+-=⎰,所以所求概率为105346P ==,故选D .8. 【答案】A由程序框图知:2,1s i ==;123,212s i +==-=-;131,3132s i -==-=+; 11()12,431()2s i +-===--; 1132,511)3s i +===-……,可知S 出现周期为4, 当 201745041i ==⨯+时,结束循环输出S ,即输出的 2s =.9. 【答案】A.3,2016;20162015,3,20162015;20151,2,20151;1,2016=====-==-===i b a i b a i b i a 结束,输出【解析】:运转程序,10. 【答案】:C【解析】:a 在+a b上的投影为2()||⋅+====+a a b a b11. 【答案】D【解析】可行域如图所示,A(1,3),B(2,1),所以所以,故p 2,p 3 正确,故答案为D. 12. 【答案】B【解析】由直观图可知俯视图应为正方形,排除A,C,又上半部分相邻两曲面的交线看得见,在俯视图中应为实线,故选B. 13. 【答案】A【解析】该几何体是棱长为2的正方体1111ABCD A B C D -截去一个三棱锥11C B EF -后所得的多面体,其体积为1123222112.323V =⨯⨯-⨯⨯⨯⨯=14. 【答案】B【解析】∵数列1n x ⎧⎫⎨⎬⎩⎭为调和数列,∴111111n n n nx x d x x ++--==,∴{}n x 是等差数列. 又∵1220200x x x ++⋯+==12020()2x x +, ∴12020x x +=. 又120516516,20x x x x x x +=+∴+= . 15. 【答案】D【解析】设从第2天起每天比前一天多织d 尺布m , 则由题意知3029305390,2d ⨯⨯+=解得16.29d =16. 【答案】B【解析】由题意知(80120)0.8P ξ<<=,则由正态分布图象的对称性可知,1(080)0.5(80120)0.12P X P X <<=-⨯<<=,故选B .17. 【答案】A【解析】分两种情况:(1)所有不含0的三位数的和为()()221231*********A ++⨯⨯++=,(2)含0且0只能在十位上的三位数的和为()()1212310011212A ++⨯⨯+=,那么可得符合条件的这些三位数之和为133212122544+=. 18. 【答案】A【解析】因为()2cos 221x xf x ax x =+++,所以()()222cos 22121x xx x f x f x x --+-=++++ 212cos 212cos 22112x x x x x =++=+++,所以π()3f +π()3f -=1+2π2cos 3=0, 所以ππ()() 2.33f f -=-=-19. 【答案】C【解析】由图可知2A =,又由()()21x f x f =,知函数的图象关于直线1222x x a b x ++==对称,所以12a b x x +=+.由五点法作图,得20a ϕ+=,2b ϕπ+=,所以2a b πϕ+=-,则()f a b +=()122sin(2)2sin f x x πϕϕϕ-+==+=sin 2ϕ=,所以3πϕ=,所以()2sin(2)3f x x π=+,在5(,)1212ππ-上,2(,)322x πππ+∈-,所以()x f 在5(,)1212ππ-上是增函数,故选C . 20. 【答案】C【解析】令0x =,得01a =;令1x =,得01282a a a a -=++++ ,即1283a a a +++=- .又7787(2)128a C =-=-,所以12783125aa a a +++=--= ,故选C .21. 【答案】D 【解析】显然PF PA >,PF AF >,所以由PAF ∆是等腰三角形得PA AF=.易知A (0)a ,,P 2()a ab c c , ,所以2222()()()a ab a c a c c-+=-,222222()()()()()a a a c c a c a c c ⇒-+-=-22()()1a a c a c c c a +⇒+⨯=-221111.1e e e e +⇒+⨯=-解得 2e =.故选D. 22. 【答案】C【解析】设直线AB 的倾斜角为(0)θθπ<<及BF m =,∵3AF =,∴点A 到准线 :1l x =-的距离为 3,∴23cos 3θ+=,即1cos 3θ=,则sin 3θ=. ∵2cos()m m πθ=+-,∴23.1cos 2m θ==+∴AOB ∆的面积为113sin 1(3)22232S OF AB θ=⨯⨯⨯=⨯⨯+⨯=23. 【答案】B【解析】由题意,得圆12,C C 的圆心分别为(,0)c -和(,0)c ,半径均为c ,满足题意的圆与椭圆的临界位置关系如图所示,则知要使圆12,C C 都在椭圆内,则需满足不等式2c a ≤,所以离心率102c e a <=≤,故选B .24. 【答案】A【解析】DE BF ⋅= 22115115()()224224CB CD CD CB CB CD CD CB --=⋅--=- .由2CD AB == ,1BC AD == ,可得1cos 2CB CD 〈〉= ,,所以π3CB CD 〈〉= ,,从而π3AB AD 〈〉= ,.故选A.25. 【答案】D【解析】由题设条件对于R ∈∀1x ,存在唯一的R ∈2x ,使得()()21x f x f =知()x f 在()0,∞-和()+∞,0上单调,得3=b ,且0<a .由()()b f a f 32=有39322+=+a ,解之得26-=a ,故326+-=+b a ,选D. 26. 【答案】D【解析】当01x <<时,ln 0x <,所以0y <,排除B 、C ;当1x >时,由于函数2y x =比ln y x =随x 的增长速度快,所以随x 的增大,2ln xy x=的变化也逐渐增大,排除A ,故选D .27. 【答案】C 【解析】因为(0,)2x π∈,所以sin 0,cos 0x x >>,则由()()tan f x f x x '<得sin ()()cos xf x f x x'<,即cos ()sin ()0xf x xf x '-<.令sin ()=()x F x f x ,则2sin cos ()sin ()()=()0()[()]x f x xf x F x f x f x '-''=<,所以()F x 在(0,)2π上递减,所以()()63F F ππ>,即sinsin63()()63f f ππππ>()()63f ππ<,故选C .28. 【答案】B【解析】设切点为(),ln Qt t t ,则切线斜率()k f t '==1ln t +,所以切线方程为()()ln 1ln y t t t x t -=+-,把(),P a a 代入得()()ln 1ln a t t t a t -=+-,整理得ln a t t =,显然0a ≠,所以1ln t at =,设()ln tg t t =,则问题转化为直线1y a=与函数()g t 图象有两个不同交点,由()21ln tg t t-'= ,可得()g t 在()0,e 递增,()e,+∞递减,在e x =处取得极大值1e ,结合()g t 图象,可得110e e a a <<⇒> ,故选B.29. 【答案】C【解析】取(0,0)A ,则C ;设11(,)B x y ,22(,)D x y ,则21211.x x y y ⎧-=⎪⎨-=⎪⎩所以()()1122,1AB x y x y ==+-,(221,CD x y =-,求得2222((22AB CD x y ⋅=++-≥- ,当111,2x y ⎧=⎪⎪⎨⎪=⎪⎩且2212x y ⎧=⎪⎪⎨⎪=⎪⎩时,AB CD ⋅ 取到最小值2-,此时四边形ABCD 的对角线恰好相交于一点,故选C. 30. 【答案】D【解析】不妨设12x x <,则120x x -<.由1212()()0f x f x x x -<-,知12()()0f x f x ->,即12()()f x f x >,所以函数()f x 为减函数.因为函数(1)y f x =-的图象关于(1,0)成中心对称,所以()y f x =为奇函数,所以222(2)(2)(2)f s s f t t f t t -≤--=-,所以2222s s t t -≥-,即()(2)0s t s t -+-≥.因为233111t s s t s t s t s-=-=-+++,而在条件()(2)014s t s t s -+-≥⎧⎨≤≤⎩下,易求得1[,1]2t s ∈-,所以11[,2]2t s +∈,所以33[,6]21t s∈+,所以311[5,]21s-∈--+,即21[5,]2t s s t -∈--+,故选D .二、填空题(4个小题)31. 【答案】16π【解析】设正ABC ∆的外接圆圆心为1O ,易知1AO 1Rt OO A ∆中,12cos 30O AOA ==,故球O 的表面积为24216ππ⨯=.32. 【答案】52【解析】根据不等式组画出可行域为图中阴影部分,目标函数可写为1zy x m m=-+,因为1m >,所以110m -<-<,将函数1y x m =-的图象平移经过可行域时,在G 点12(,)33处y 取最大值,此时2z =,所以有12233m =+,解得52m =.33. 【答案】2520- 【解析】由题意可知,11p =,22p =,34p =,48p =,51p =,62p =,74p =,88p =,91p =,102p =,114p =,128p =,131p =,……,又∵{}n p 是4阶等和数列,因此该数列将会照此规律循环下去,同理,11q =-,21q =-,31q =,41q =-,51q =-,61q =,71q =-,81q =-,91q =,101q =-,111q =-,121q =,131q =-,……,又∵{}n q 是3阶等积数列,因此该数列将会照此规律循环下去,由此可知对于数列{}n n p q ⋅,每12项的和循环一次,易求出11221212...15p q p q p q ⋅+⋅++⋅=-,因此2016S 中有168组循环结构,故2016151682520S =-⨯=-.34. 【答案】2015413-【解析】由()g n 的定义易知当n 为偶数时,()()2ng n g =,且当n 为奇数时,()g n n =.令()(1)f n g =+(2)(3)(21)n g g g +++- ,则1(1)(1)(2)(3)(21)n f n g g g g ++=++++- =113(21)n ++++- +1(2)(4)(22)n g g g ++++- =112(121)(1)(2)(4)(22)4()2n n n n g g g g f n +++-+++++-=+ ,即(1)f n +-()4n f n =,分别取n为1,2,,n 并累加得24(1)(1)444(41)3n nf n f +-=+++=- .又(1)(1)f g ==1,所以4(1)(41)13nf n +=-+,所以()(1)(2)(3)(21)n f n g g g g =++++- =14(41)13n --+.令2015n =,得2015201541(1)(2)(3)(21)3g g g g -++++-= .三、解答题(14个小题)35. 【答案】:(1)23π,(2)6b c +=. 【解析】:(1)由()2cos 14sin sin B C B C -=+,得()2cos cos sin sin 4sin sin 1B C B C B C +-=,即()2cos cos sin sin 1B C B C -=,亦即()2cos 1B C +=,∴()1cos 2B C +=.∵0,3B C B C ππ<+<∴+=,∵A B C π++=,∴23A π=.(2)由(1)得23A π=.由S =12sin 823bc bc π=∴=.①由余弦定理2222cos a b c bc A =+-,得(22222cos 3b c bc π=+-,即2228b c bc ++=.∴()228b c bc +-=.②,将①代入②, 得()2828b c +-=,∴6b c +=.36. 【答案】(1)45;(2 【解析】(1)因为102cos -=∠ADB ,所以1027sin =∠ADB .又因为,4π=∠CAD 所以,4π-∠=∠ADB C 所以4sincos 4cossin )4sin(sin πππADB ADB ADB C ∠-∠=-∠=∠5422102221027=⋅+⋅. (2)在ADC ∆中,由正弦定理得ADCACC AD ∠=∠sin sin , 故2210275427sin sin )sin(sin sin sin =⨯=∠∠⋅=∠-∠⋅=∠∠⋅=ADB C AC ADB C AC ADC C AC AD π. 又,710272221sin 21=⋅⋅⋅=∠⋅⋅⋅=∆BD ADB AB AD S ABD解得5=BD . 在ADB ∆中,由余弦定理得.37)102(5222258cos 2222=-⨯⨯⨯-+=∠⋅⋅-+=ADB BD AD BD AD AB37. 【答案】(1)31n a n =-;(2)10.【解析】:(1)设等差数列{}n a 的公差为d ,由2481,1,1a a a +++,得2(33)(3)(37),d d d +=++解得3d=或0d =(舍),故1(1)23(1)3 1.n a a n d n n =+-=+-=-(2)由(1)知331n b n =-,19113().(31)(32)3132n n b b n n n n +==--+-+ 12231111111119...3(++)3(),2558313223264n n nb b b b b b n n n n ++++=---=-=-+++依题有945,6432n n =+解得10.n =38. 【答案】(1)21na n =-;(2)1(23)26n nT n +=-+.【解析】(1)由12n n n S S a +=++得:*12()n n a a n N +-=∈,∴数列{}n a 是以1a 为首项,2为公差的等差数列,由125,,a a a 成等比数列得2+)2(1a =1a (1a +8),解得1a =1, ∴*21()n a n n N =-∈.(2)由(1)可得2(21)(21)2n n nb n n =-⋅=-,∴1231...,n n n T b b b b b -=+++++即123123252...(21)2n nT n =⋅+⋅+⋅++-⋅①,23121232...(23)2(21)2n n n T n n +=⋅+⋅++-⋅+-⋅②,①-②可得23122(22...2)(21)2,n n nT n +-=++++--∴1(23)26n n T n +=-+.39. 【答案】(1)能在犯错误的概率不超过0.001的前提下,认为商品好评与服务好评有关;② ()2,E X =().5D X =【解析】:2200(80104070)11.11110.828,1505012080K ⨯⨯-⨯=≈>⨯⨯⨯故能在犯错误的概率不超过0.001的前提下,认为商品好评与服务好评有关.(2)①每次购物时,对商品和服务都好评的概率为25,且X 的取值可以是0,1,2,3,4,5. 其中53(0)()5P X ==;14523(1)()()55P X C ==;223523(2)()()55P X C ==;332523(3)()()55P X C ==;441523(4)()()55P X C ==;52(5)()5P X ==.X②由于2~(5,)5X B ,则2()52,5E X =⨯=226()5(1).555D X =⨯⨯-=40. 【答案】(1) 1.5,A B x x ==2 1.5,A S =21.8;B S =(2)()0.02P C =.【解析】:(1)从A 校样本数据的条形图可知:成绩分别为4分、5分、6分、7分、8分、9分的学生分别有:6人、15人、21人、12人、3人、3人.A 校样本的平均成绩为465156217128393660A x ⨯+⨯+⨯+⨯+⨯+⨯==(分), A 校样本的方差为22216(46)3(96) 1.560A S ⎡⎤=⨯-++⨯-=⎣⎦ . 从B 校样本数据统计表可知:B 校样本的平均成绩为49512621798693660B x ⨯+⨯+⨯+⨯+⨯+⨯==(分), B 校样本的方差为22219(46)3(96) 1.860B S ⎡⎤=⨯-++⨯-=⎣⎦ . 因为,A B x x =所以两校学生的计算机成绩平均分相同,又因为22A B S S <,所以A 校的学生的计算机成绩比较稳定,总体得分情况比B 校好.(2) 记1A C 表示事件“A 校学生计算机成绩为8分或9分”,2A C 表示事件“A 校学生计算机成绩为9分”,1B C 表示事件“B 校学生计算机成绩为7分”,2B C 表示事件“B 校学生计算机成绩为8分”,则1A C 与1B C 独立,2A C 与2B C 独立,1B C 与2B C 互斥,1122B A B A C C C C C = .1122()()B A B A P C P C C C C = 1122()()B A B A PC C P C C =+1122()()()()B A B A P C P C P C P C =+.由所给数据得1A C ,2A C ,1B C ,2B C 发生的概率分别为1()A P C 6=60,2()=A P C 360,19()=60B P C ,26()60B P C =, 故9663()=+0.0260606060P C ⨯⨯=.41. 【答案】:(1)证明见解析;(2)当点N 与点D 重合时,直线BN 与平面PCD 所成角的正弦值为25,理由见解析.【解析】:(1)证明:(方法一)由已知,平面ABCD ⊥平面ABPE ,且BC A B ⊥,则BC ⊥平面ABPE ,所以,,BA BP BC 两两垂直,故以B 为原点,,,BA BP BC分别为x 轴,y 轴,z 轴正方向,建立如图所示的空间直角坐标系.则1(0,2,0),(2,0,1),(1,1,),(2,1,0),(0,0,1)2P D M E C ,所以1=(1,0,)2EM - .易知平面ABCD 的一个法向量等于(0,1,0)n =,因为1=(1,0,)(0,1,0)02EM n ⋅-⋅= ,所以EM n ⊥ ,又EM ⊄平面ABCD ,所以EM ∥平面ABCD .(方法二)由已知,平面ABCD ⊥平面ABPE ,且BC AB ⊥,则BC ⊥平面ABPE , 所以,,BA BP BC 两两垂直.连结,AC BD ,其交点记为O ,连结MO ,EM . 因为四边形ABCD 为矩形,所以O 为BD 中点.因为M 为PD 中点,所以OM ∥PB ,且12OM PB =.又因为AE ∥PB ,且12AE PB =,所以AE ∥OM ,且AE =OM .所以四边形AEMO 是平行四边形,所以EM ∥AO . 因为EM⊄平面ABCD ,AO ⊂平面ABCD ,所以EM ∥平面ABCD .(2)当点N 与点D 重合时,直线BN 与平面PCD 所成角的正弦值为25. 理由如下:因为(2,2,1),(2,0,0)PD CD =-= ,设平面PCD 的一个法向量为1111(,,)n x y z =,由110,0n PD n CD ⎧⋅=⎪⎨⋅=⎪⎩ 得1111220,20.x y z x -+=⎧⎨=⎩ 取11y =,得平面PCD 的一个法向量1(0,1,2)n =.假设线段PD 上存在一点N ,使得直线BN 与平面PCD 所成角α的正弦值等于25.设(01)PN PD λλ=≤≤, 则(2,2,1)(2,2,)PN λλλλ=-=- ,(2,22,)BN BP PN λλλ=+=-.所以111||sin |cos ,|||||BN n BN n BN n α⋅=<>=⋅25===. 所以29810λλ--=,解得1λ=或19λ=-(舍去). 因此,线段PD 上存在一点N ,当N 点与D 点重合时,直线BN 与平面PCD 所成角的正弦值等于25.42. 【答案】:(1)证明见解析;(2)4.3【解析】:(1)由题意:以点D 为坐标原点,DA 方向为x 轴,DC 为y 轴,DE 为z 轴建立空间直角坐标系,则()()()()()2,0,0,2,2,0,0,4,0,0,0,2,0,2,1AB C E M ,∴()2,0,1BM =- ,平面ADEF 的一个法向量()0,4,0DC =,0BM DC ⋅= ,∴BM DC ⊥,即//BM ADEF 平面.(2)设()()0,4,20,4,2EM tEC t t t ==-=-,故点()()0,4,2201M t t t -<<,设平面BDM 的一个法向量()z y x n ,,1=,则()11220,4220DB n x y DM n ty t z ⋅=+=⋅=+-=.令1y =-,则121,1,1t n t ⎛⎫=- ⎪-⎝⎭ ,易知平面ABF 的一个法向量()21,0,0n = ,∵121212cos ,6n n n n n n ⋅<>===⋅,解得12t =, ∴()1,2,0M 为BC 的中点,221==∆∆CDM DBM S S ,B 到面DEM 的距离2=h , ∴14.33M BDE DEM V S h -∆=⋅⋅=43. 【答案】(1)ax y 42=;(2)FS FT ⋅的值是定值,且定值为0.【解析】(1) 椭圆)0(11222>=++a y ax 右焦点F 的坐标为(,0)a ,(,)NF a n ∴=- .(,)MN m n =-,∴由0=⋅,得02=+am n .设点P 的坐标为),(y x ,由+=2,有(,0)2(0,)(,)m n x y =+--,⎪⎩⎪⎨⎧=-=.2,y n x m 代入02=+am n ,得ax y 42=. (2)(法一)设直线AB 的方程为x ty a =+,211(,)4y A y a 、222(,)4y B y a, 则x y a y l OA 14:=,x y ay l OB 24:=. 由⎪⎩⎪⎨⎧-==ax x y a y ,41,得214(,)a S a y --, 同理得224(,)a T a y --.214(2,)a FS a y ∴=-- ,224(2,)a FT a y =-- ,则4212164a FS FT a y y ⋅=+. 由⎩⎨⎧=+=axy a ty x 4,2,得04422=--a aty y ,2124y y a ∴=-. 则044)4(16422242=-=-+=⋅a a a a a FT FS . 因此,FS FT ⋅的值是定值,且定值为0.(法二)①当AB x ⊥时, (,2)A a a 、(,2)B a a -,则:2OA l y x =, :2OB l y x =-.由2,y x x a=⎧⎨=-⎩ 得点S 的坐标为(,2)S a a --,则(2,2)FS a a =-- . 由2,y x x a =-⎧⎨=-⎩ 得点T 的坐标为(,2)T a a -,则(2,2)FT a a =- .(2)(2)(2)20FS FT a a a a ∴⋅=-⨯-+-⨯=.②当AB 不垂直x 轴时,设直线AB 的方程为()(0)y k x a k =-≠,),4(121y ayA 、),4(222y a y B ,同解法一,得4212164a FS FT a y y ⋅=+. 由2(),4y k x a y ax=-⎧⎨=⎩,得22440ky ay ka --=,2124y y a ∴=-.则044)4(16422242=-=-+=⋅a a a a a FT FS . 因此,FS FT ⋅的值是定值,且定值为0.44. 【答案】(1)2213x y +=;(2)以MN 为直径的圆恒过x 轴上的定点(1,0)-,(1,0). 【解析】(1)依题意,得222,3c ab a b c a ===+又解得1,a b ⎧=⎪⎨=⎪⎩故椭圆C 的标准方程为2213x y +=. (2)A ,设(0,)M m ,(0,)N n ,0(,)P x y,则由题意,可得220013x y +=(1), 且00(,)Q x y --,00()AP x y =,()AM m = .因为,,A P M 三点共线,所以AP AM,故有00(x m =,解得m =;同理,可得n =假设存在满足题意的x 轴上的定点(,0)R t ,则有RM RN ⊥ ,即0RM RN ⋅=.因为(,)RM t m =-,(,)RN t n =- ,所以20t mn +=,即20t =,整理得222033y t x =--, 又由(1),得220033y x =-,所以21t =,解得1t =或1t =-.故以MN 为直径的圆恒过x 轴上的定点(1,0)-,(1,0). 方法二:(1)同方法一;(2)①当直线l 的斜率不存在时,有(0,1)P ,(0,1)Q -,(0,1)M ,(0,1)N -,此时以MN 为直径的圆经过x 轴上的点(1,0)-和(1,0); ②当直线l 的斜率存在时,设直线l 的方程为y kx =,联立方程组221,3,x y y kx ⎧+=⎪⎨⎪=⎩,解得P,(Q . 设(0,)M m ,(0,)N n 又直线AP的斜率1k =AM的斜率2k =,因为,,A P M 三点共线,所以12k k =,解得得m =同理,可得n =,假设存在满足题意的x 轴上的定点(,0)R t ,则有RM RN ⊥, 直线RM 的斜率3m k t =-,直线RN 的斜率4n k t=-,所以341k k =-,故有2t mn =-,即2t =整理,得21t =,解得1t =或1t =-,综合①②,可知以MN 为直径的圆恒过x 轴上的定点(1,0)-,(1,0).45. 【答案】:(1)当0>a 时,增区间为(]0,1,减区间为[)1,+∞;当0<a 时,增区间为[)1,+∞,减区间为(]0,1;(2)212e e a --≤;(3)见解析. 【解析】:(1))0()1()(>-='x xx a x f , 当0>a 时,)(x f 的单调增区间为]1,0(,单调减区间为),1[+∞; 当0<a 时,)(x f 的单调增区间为),1[+∞,单调减区间为]1,0(. (2)令()ln 34ln 1,F x a x ax ax x e a x x e =--+++-=++-.0)(=+='xax x F 若e a ≤-,e a -≥,)(x F []上在2,e e 是增函数,21,012)()(222maxe e a e e a e F x F --≤≤+-+==无解.若2e a e ≤-<,e a e -<≤-2,)(x F 在],[a e -上是减函数;在],[2e a -上是增函数,.1,01)(-≤≤+=a a e F ,21,012)(222e e a e e a e F --≤≤+-+=.2122e e a e --≤≤-∴若2e a >-,2e a -<,)(x F 在],[2e e 上是减函数,1,01)()(max -≤≤+==a a e F x F ,.2e a -<∴综上所述.212e e a --≤ (3)令1a =-(或1a =),此时()ln 3f x x x =-+-,所以(1)2f =-,由(1)知()l n 3f x x x =-+-在(1,)+∞上单调递增,∴当(1,)x ∈+∞时,()(1)f x f >,即ln 10x x -+->,∴ln 1x x <-对一切(1,)x ∈+∞成立, ∵2,N*n n ≥∈,则有2211111ln(1)(1)1n n n n n n+<<=---, 要证2222ln(21)ln(31)ln(41)ln(1)12ln !(2,)n n n n N *++++++++<+≥∈ ,只需证22221111ln(1)ln(1)ln(1)ln(1)1(2,),234n n N n *++++++++<≥∈ 2222111111111111ln(1)ln(1)ln(1)ln(1)(1)()()()1 1.234223341n n n n ++++++++<-+-+-+-=-<-46. 【解答】:依题意,()[(1)()(1)()](),x x x f x a x e a x e a a x e a '''=--+--=⋅- 令()()x h x a x e a =⋅-,则()(1)x h x a x e '=+⋅.(1)①当0x <时,0x x e ⋅<,0a >,故()()0h x f x '=<,所以()f x '在(,0)-∞上不存在零点,则函数)(x f 在(,0)-∞上不存在极值点;②当0x ≥时,由()(1)0x h x a x e '=+⋅>,故()h x 在[0,)+∞上单调递增. 又2(0)0h a =-<,2()()(1)0a a h a a a e a a e =⋅-=->,所以()()h x f x '=在[0,)+∞上有且只有一个零点.又注意到在()f x '的零点左侧,()0f x '<,在()f x '的零点右侧,()0f x '>, 所以函数)(x f 在[0,)+∞有且只有一个极值点. 综上所述,当0a >时,函数)(x f 在(,)-∞+∞内有且只有一个极值点. (2)因为函数)(x f 存在两个极值点1x ,2x (不妨设12x x <), 所以1x ,2x 是()()h x f x '=的两个零点,且由(1)知,必有0a <. 令()(1)0x h x a x e '=+⋅=得1x =-; 令()(1)0x h x a x e '=+⋅>得1x <-; 令()(1)0x h x a x e '=+⋅<得1x >-.所以()()h x f x '=在(,1]-∞-单调递增,在[1,)-+∞单调递减, 又因为2(0)(0)0h f a '==-<,所以必有1210x x <-<<. 令()()0t f t a t e a '=⋅-=,解得t a t e =⋅,此时22232()(1)()(1)()(1)(2)t t t t t t f t a t e a te t e te e t t e t t t =--=--=--=--+.因为12,x x 是()()h x f x '=的两个零点, 所以12321111()(2)x f x e x x x =--+,22322222()(2)x f x e x x x =--+.将代数式232(2)t e t t t --+视为以t 为自变量的函数232()(2)t g t e t t t =--+, 则22()(1)(21)t g t e t t '=---.当1t <-时,因为2210,210,0t t t e ->-<>,所以'()0g t >, 则()g t 在(,1)-∞-单调递增.因为11x <-,所以1124()()(1)f x g x g e =<-=, 又因为122111()(1)0x f x e x x =-->,所以1240()f x e <<. 当10t -<<时,因为2210,210,0t t t e -<-<>,所以'()0g t <, 则()g t 在(1,0)-单调递减,因为210x -<<,所以22240(0)()()(1)g g x f x g e=<=<-=. 综上知,1240()f x e <<且2240()f x e<<. 47.A.【解答】:(1)由弦切角定理可知,NTB TAB ∠=∠, 同理,NTB TCD ∠=∠,所以TCD TAB ∠=∠, 所以//AB CD .(2)连接TM 、AM,因为CD 是切内圆于点M ,所以由弦切角定理知,CMA ATM ∠=∠,又由(1)知//AB CD ,所以,CMA MAB ∠=∠,又MTD MAB ∠=∠, 所以MTD ATM ∠=∠.在MTD ∆中,由正弦定理知, sin sin MD TDDTM TMD =∠∠, 在MTC ∆中,由正弦定理知,sin sin MC TCATM TMC=∠∠, 因TMC TMD π∠=-∠,所以MD TD MC TC =,由//AB CD 知TD BD TC AC =, 所以MD BD MC AC=,即, AC MD BD CM ⋅=⋅. B. 【答案】(1)()2224x y -+=;(2)4πα=或34π.【解析】(1)由4cos ρθ=得24cos ρρθ=. ∵222x y ρ+=,cos x ρθ=,sin y ρθ=,∴曲线C 的直角坐标方程为2240x y x +-=,即()2224x y -+=.(2)将1cos ,sin x t y t αα=+⎧⎨=⎩代入圆的方程得()()22cos 1sin 4t t αα-+=,化简得22cos 30t t α--=.设,A B 两点对应的参数分别为1t 、2t ,则12122cos ,3.t t t t α+=⎧⎨=-⎩∴12AB t t =-==∴24cos 2α=,cos 2α=±,4πα=或34π. C.【答案】(1)2m =;(2)1. 【解析】:(1)当1x ≤-时,()32f x x =+≤;当11x -<<时,()132f x x =--<;当1x ≥时,()34f x x =--≤-,故当1x =-时,()f x 取得最大值2m =.(2)因为()()()22222222222a b c a b b c ab bc ab bc ++=+++≥+=+,当且仅当2a b c ===时取等号,此时ab bc +取得最大值1. 48.A.【解析】(1)∵∠CPD=∠ABC ,∠D=∠D ,∴△DPC ~△DBA , ∴PC PD =AB BD ,又∵AB=AC ,∴PC PD =AC BD .(2)∵∠ACD=∠APC ,∠CAP=∠CAP ,∴△APC ∽△ACD.∴AP AC =AC AD,∴.92=⋅=AD AP ACB.【解答】(1)依题,因222x y ρ=+,所以曲线1C 的直角坐标下的方程为221x y +=, 所以曲线2C 的直角坐标下的方程为22(1)1x y +-=, 又sin y ρθ=,所以22sin 0ρρθ-=, 即曲线2C 的极坐标方程为2sin ρθ=.(2)由题令00(,)T x y ,0(0,1]y ∈,切线MN 的倾斜角为θ,所以切线MN 的参数方程为:00cos sin x x t y y t θθ=+⎧⎨=+⎩(t 为参数). 联立2C 的直角坐标方程得,20002(cos sin sin )120tx y t y θθθ++-+-= ,即由直线参数方程中,t 的几何意义可知,012TMTN y ⋅=-,因为012[1,1)y -∈-所以TM TN ⋅[0,1]∈.(解法二)设点()ααsin ,cos T ,则由题意可知当()πα 0∈时,切线与曲线2C 相交, 由对称性可知,当⎥⎦⎤⎝⎛∈2,0πα时斜线的倾斜角为2πα+,则切线MN 的参数方程为:⎪⎪⎩⎪⎪⎨⎧+=⎪⎭⎫ ⎝⎛++=-=⎪⎭⎫ ⎝⎛++=ααπααααπααcos sin 2sin sin sin cos 2cos cos t t y t t x (t 为参数), 与C 2的直角坐标联立方程,得0sin 21cos 22=-+-ααt t , 则αsin 2121-==t t TN TM,因为⎥⎦⎤⎝⎛∈2,0πα,所以[]1,0∈TN TM . C.【解析】:(1)因为()|2|,f x m x =--所以(2)1f x +≥等价于1x m ≤-,由[]1,1A -⊆知A 是非空集合,所以 11m x m -≤≤-,结合[]1,1A -⊆可得112m m -≥⇒≥,即实数m 的取值范围是[)2,.B =+∞(2)由(1)知02m =,所以1112,23a b c++= ()11112323223a b c a b c a b c ⎛⎫∴++=++++ ⎪⎝⎭21922≥=.。

【泄露天机】2016年全国卷高考押题英语试题

【泄露天机】2016年全国卷高考押题英语试题

2016年高三泄露天机卷一第二部分阅读理解(共两节,满分40分)第一节(共15小题,每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将选项涂黑。

AAre you looking for something to do? You might like to try one of these four experiences.Crocodile watchingDo you fancy getting up close to some of the most terrifying animals on earth? Crocosaurus Cove, in Darwin (Australia) has the “Cage of Death”. It’s an enclosure that’s lowered into a pool. This gives you a 360 degree view of a crocodile as it’s being fed. The cable broke once and the cage sank to the bottom, but they’ve fixed it since then.EdgeWalkHow about walking along the edge of a building several hundred meters up in the air? If that sounds like fun, head off to the CN Tower in Toronto (Ontario, Canada). Built in 1976, the tower is 553.33 meters tall.The EdgeWalk consists of a 20-30 minute stroll along a 1.5 meter wide platform that runs around the tower’s restaurant roof. During the walk, you’re encouraged to lean forwards as you look over Toronto’s skyline (轮廓线).Plastic ball rollingDo you fancy rolling down a hill in a plastic ball?Plastic ball rolling is popular all over the world, but the place to give it a go is in Rotorua (New Zealand). Brother David and Andrew Akers came up with the idea in 1994. A typical orb (球) is about 3 meters in diameter, with an inner orb size of about 2 meters. There’s no brake or steering mechanism, but the inner layer of the plastic ball helps absorb the shock.Volcano bungee jumpingIf you’re looking for the adventure of a lifetime,how about going bungee jumping off a helicopter into the crater of a live volcano? As part of the jumping, a helicopter ride takes you to the Villarrica volcano, one of the most active in Chile. Once you’re at the drop zone, you leap off the helicopter and fall into the volcano. Finally, you enjoy the ride back to the airport flying at 130kph.Attracted by the above? If so, please contact us. Only half price from March 22 to April 25th For more information, please click here.21.According to the passage, there was an accident once when people _____.A. jumped into the Villarrica volcanoB. walked along the platform of the CN TowerC. rolled down a hill in a plastic ball in RotoruaD. watched crocodiles in the “Cage of Death” in Darwin22.Which of the following was first invented in New Zealand?A. EdgeWalk.B. Crocodile watching.C. Plastic ball rolling.D. Volcano bungee jumping.23. It can be inferred that all the four experiences are ______.A. interesting sportsB. exciting and extremeC. held on high placesD. fit for middle to old people【语篇解读】是不是觉得生活乏味?别急,尝试一下这几个惊险刺激的极限运动吧!21. D 【解析】细节理解题。

泄露天机——2016年金太阳高考押题 精粹 英语 (学生用卷)

泄露天机——2016年金太阳高考押题 精粹 英语 (学生用卷)

泄露天机——2016年金太阳高考押题精粹英语本卷共18题,三种题型:阅读理解、英语知识运用和写作。

阅读理解10小题,英语知识运用4小题,写作4小题。

第一部分阅读理解 (共10小题)第一节阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在题卡上将该项涂黑。

A1All around the world, an increasing number of people are spending their time taking part in online volunteering projects. What encourages them to help strangers without expectation of money or even thanks?Radha Taralekar helped teach Imelda how to protect herself from HIV, though the two have never met, and neither knows the other’s name. Taralekar rec eived no payment for the job. For Taralekar, the project gave her the chance to use her professional experience. “I want to serve people with my medical knowledge,” she said. For some, the inspiration to volunteer online was far more personal. After losing his wife to cancer, Tony Selman spent many hours online helping Cancer Research to collect information on the illness. “Seeing how painful she was when my wife was dying, I decided to help scientists find a way to treat cancer,” he said.Interests and hobbies are also one of the reasons. Sam Luk joined other online volunteers to try to help the police solve murder cases. The police posted them online, calling for volunteers to help them to make sense of the messages. “I am interested in this and I love Sherlock Holmes,” said Luk.For writer Clay Shirky, some large online volunteering projects help millions of people, giving him a sense of achievement. He helps write Wikipedia, the world’s biggest encyclopedia (百科全书), which is written by people willing to use their professional knowledge.1. We can know that Radha Taralekar may be a ____.A. teacherB. doctorC. writerD. policewoman2. Why did Tony Selman decide to help Cancer Research?A. He had much time to spend online.B. He saw many people die of cancer.C. His wife was dead because of cancer.D. He became a member of Cancer Research.3. Sam Luk volunteered to help the police because of ____.A. his interests and hobbiesB. his duty of workC. money in returnD. a sense of achievement4. How many reasons why people help strangers online are mentioned in the text?A. One.B. Two.C. Three.D. Four.A2At times my mom has been uncomfortable seeing these qualities in me. For example,when I was 12,I went to Puerto Rico all by myself to stay with my grandmother for the summer. My mom was extremely nervous about it. She kept telling me how things were different in Puerto Rico,to always put on sunscreen,not to wander away from my grandmother,and other warnings. She helped me pack and did not leave the airport until she saw my plane take off.But despite her worries,she let me go on my own. As I moved into my teens,she continued to give me space to grow and learn,even when it might have been difficult for her. When I reached my senior year,I decided to move away for college. Once again I found that I differed from my peers:While many of them wanted to stay close to home,I couldn’t wait to be out in the world on my own. While my mom may not have been happy at the thought of my going away,she was supportive and excited for me.One big thing I realized during my senior year,as my mom granted me more freedom,was that she actually believes in me and trusts me. That means a lot. Most of my life,and especially when I was little,the main person I tried to impress in my schoolwork or other things was my mother. I knew she expected nothing but the best from me. Sometimes it was hard to live up to her standards: getting a single B on my report card would make me feel bad because I knew she wanted me to have all A’s.I know that her high standards have helped me stay focused on what’s important,like education,and made me who I am. I am thankful for her support and involvement in my life .Most of all I respect her. She is the strongest woman I know and that’s why I have turned out so strong and independent.5. When the author decided to go to Puerto Rico,his mother________.A.wanted to go with himB.worried about his safetyC.didn’t allow him to do soD.asked his grandmother for advice6. Why did the author decide to move away for college?A.He wanted to be different from his peers.B.He planned to keep away from his mother.C.He intended to make his mother unhappy.D.He wanted to be independent in the outside world.7. We can learn from Paragraph 3 that the author’s mother________.A.was too strict with himB.cared little about his learningC.had a high expectation of himD.used to expect nothing from him8. What does the author mainly want to tell us in the text?A.His mother’s deep love for himB.His long way to become independentC.His good relationship with his motherD.The importance of his mother’s trust and supportA3Would you eat a ready meal from the fridge rather than cook from scratch? Have you been doing Internet shopping rather than going to the stores? What can’t you be bothered to do?A study into how lazy British people are has found more than half of adults are so idle that they’d catch the lift rather than climb two flights of stairs.Just over 2,000 people were interviewed by independent researchers at Nuffield Health, Britain’s largest health charity. The results were s urprising.About one in six people surveyed said if their remote control was broken, they would continue watching the same channel rather than get up.More than one third of those questioned said they would not run to catch a bus. Worryingly, of the 654 respondents with children, 64% said they were often too tired to play with them.This led the report to conclude that it’s no wonder that one in six children in the UK are classified as obese before they start school. Dr.Sarah Dauncey, medical director of Nuffield Health, said, “People need to get fitter, not just for their own sake, but for the sake of their families, friends and evidently their pets too. If we don’t start to take control of this problem, a whole generation will become too unfit to perform even the simple tasks.”And Scotland’s largest city, Glasgow, was shamed as the most indolent city in the UK, with 75% surveyed admitting they do not get enough exercise, followed closely by Birmingham and Southampton, both with 67%.The results pose serious challenges for the National Health Service, where obesityrelated illnesses such as heart disease and cancer have been on a steady increase for the past 40 years and are costing billions of pounds every year.9. What do lazy British people probably choose to do?A. Go to stores.B. Catch the lift.C. Cook from scratch.D. Climb flights of stairs.10. How many people surveyed don’t play with children because of tiredness?A. About 333.B.About 419.C. About 654.D. About 1280.11. What is the potential result of more and more people, including children, getting obese?A. People will not get enough exercise.B. People will not have enough money.C. People will not be able to do the easy job.D. People will not cure themselves of heart disease.12. What is the author’s attitude towards the finding of the study?A. Indifferent.B. Doubtful.C. Negative.D. Supportive.A4Nobody likes an old poop(傻子). Developing a sense of humor is part of becoming a mature, emotionally healthy individual. Laughter is good for the soul, builds friendships and relieves stress. It serves as the glue for social situations and as an ice-breaker for sadness and boredom. If you’ve ever been told to “lighten up” or “chill out”, you s hould save the blue attitude for serious situations and develop your sense of humor.Forgive the accidental. A sudden fall is humorous not because we like to see people fall, butbecause it surprises. From a spilled(溢出)water glass in a meeting to Aunt Rae’s teeth coming off in the Thanksgiving turkey, the embarrassment of accidents can be relieved by humor and a helping hand. After making sure that nobody’s hurt, forgive accidents with a chuckle(咯咯地笑)rather than a scolding.Look for the unexpected. The kid who used to look at you with his eyes closed during a test had the idea. Parents who serve green eggs and ham to their children on graduation day get the idea. Unexpected actions lighten an atmosphere and relax people.Learn to laugh with your kids. Most of what children say and do is funny. Help them learn that accidents are sometimes funny and sometimes occasions for joining in and helping another human being. By sharing laughs and attempting to explain humor, you develop your sense of humor, as well as help kids develop their own sense of humor.13. If you’ve ever been told to “lighten up” or “chill out”, it means ______.A. you are humorousB. you are angryC. you lack humorD. you are funny14. According to Paragraph 2, when your friend falls, you can ______.A. laugh at himB. chuckleC. scold himD. feel embarrassed15. What is the best title for the text?A. How to Develop a Sense of HumorB. Ways to Become a Healthy IndividualC. The Function of HumorD. Proper Attitudes Toward HumorB1I clearly remember the day when my little brother was born: January 1, 1994. One of my favorite family photos shows me lying with my mother in the hospital bed, happy but un-aware of the small, sleeping baby in the background.I stayed with my grandparents for the weekend of my brother’s birth, excited about my new brother but not yet aware of what having a little brother would mean. I didn’t truly realize what was going on until we were in the hospital room at Duke University—coincidentally (碰巧地), the same room in which I had been born two years earlier.When I looked at my brother for the first time, I felt a mixture of fear and interest. Little did know that small, pink creature would grow up to be one of my favorite people in the world.In reality, though I am two years older than my brother, I am more often than not the real baby in the family. I am very lacking when it comes to common sense. Instructions constantly confuse me and I frequently find myself totally puzzled by things like knowing how to start the washing machine or manage the storage settings on my iPhone.That’s where Gibson comes in. The poor kid has had to guide me through more tasks than I would care to admit, but he never complains. Though I should probably be told to figure it out myself, he always comes through.I’ m envious of his ability to readily answer the ever-present, “What do you want to do with your life?”question at family gatherings. “Be a doctor,”he says—a solid answer, completely opposite to my shaky one, “Well, I’m an English major, so...”My brother truly is my best friend. No one understands me better, and there isn’t anyone else I would want to be stuck with in our family. I may not have a clear idea of where I’m headed, but he is stuck with me.1. What does the underlined sentence in Paragraph4 mean?A. My brother is the real baby in the family.B. I am growing more slowly than my brother.C. In fact, I seem to be less mature than my little brother.D. My brother gets more love from the family than I do.2. What does the brother often help the author do?A. Help him with his studies.B. Help him deal with many daily tasks.C. Comfort him when he is in a bad mood.D. Give him advice on how to choose a major.3. What is the best title for this text?A. The Real Baby in the FamilyB. My Strange Family GatheringsC. The Feeling of Having a BrotherD. Stuck with Me—My Not-So-Little BrotherB2Camp Jano IndiaCelebrate Indian culture, languages, arts, festivals and literature. Weekly themes are brought to life through related arts, games, projects, stories and theatre in a very unique, exciting, creative, interactive (互动的) and structured style. A very unique and unforgettable experience that kids will want to repeat! Mornings are spent with the Hindi language at the child’s level. Afternoons provide the cultural elements taught in an interactive style with special emphasison drama.Bay Language AcademyWe invite campers (4-12 years old) to travel and open up doors to explore past and recent civilizations through daily field trips. Cultures will be shown through customs and cooking. Lectures (6/10-8/30) will introduce French, Spanish or Chinese and the cultures they convey. Our language summer-camp is infused(灌输) with cultural activities and taught by a team of bilingual(双语的) instructors.Petits ConfettisWant your 3- to 5-year-old kids to experience a French camp? Come and join us for 6 weeks of French camps!Kids will be totally happy to learn French and French culture while they take part in team projects like building a tipi or making French bread. Weekly themes include cooking, arts, drama, outdoor activities, board games, music, yoga, rhymes and story time.Chinese Immersion Summer CampThis is our 11th Chinese language and culture summer camp.We take children from 6th grade. This year we continue the weekly fun themes like art, science, cooking and sports in the morning. In the afternoon, we have abacus, reading and Chinese culture lessons taught in Chinese. Our teachers are all native speakers with a lot of experience. Our weekly field trips go to different places like SF zoo, tech museums, fire stations etc.4. Why can Camp Jano India give children anunforgettable experience?A. It has quite experienced teachers.B. It teaches Indian languages at different levels.C. The activities are arranged for the whole day.D. The activities are carried on in an interesting style.5. Bay Language Academy and Chinese Immersion Summer Camp are similar because ______.A. they both provide field tripsB. they both have bilingual teachersC. they both provide sports programs in the morningD. they are both intended for kids of 4-12 years old6. If a girl likes yoga, she will go to ______.A. Camp Jano IndiaB. Bay Language AcademyC. Petits ConfettisD. Chinese Immersion Summer Camp7. What is the common theme of the four camps?A. Fun and sports.B. Travel and adventure.C. Language and culture.D. Art and music.B3Online purchases have soared during the Chinese New Year holiday.It’s the dead of winter in Shanghai. Delivery man Liu Jia and his colleagues start the day when most of people are still asleep. Working at a distribution point of a shopping website in Shanghai, they promise to deliver products within three hours of an order being placed. “I buy most of my grocery online, especially the heavy items. It’s convenient and cheap compared to the supermarket in my neighborhood,” Customer Chen Hong said. Orders such as these have increased for the New Year, forcing Liu Jia to work around the clock. “The orders are usually rice, laundry detergent(洗涤剂), tissue paper and snacks, mostly food and articles for everyd ay use,” Liu Jia said.According to an industry report, China’s B2C (Business to Customer)online sales are growing at an annual rate of 25 percent. Competition between online giants like Taobao and Jingdong is now fiercer than ever. “The essence of online shopping is that customers can buy products easily. So the competition is about: firstly, the range of products; secondly, the depth under each category of products; third, the price and user experience,” Pan Biao, vice president of , said. E-commerc e is one of China’s fastest growing sectors. It’s changed people’s buying habits, and even their living habits. And it’s had a huge impact on the retail industry. To make online shopping more convenient, major sites are investing heavily to build payment systems and logistics(物流)networks.On average, a retailer now can deliver goods to the majority of cities within 3 days, and to towns and more remote areas in the country within a week. “Competition will produce a number of good companies, making better products and services that customers need. In the field of E-commerce, we are leading the world in terms of products, services and industry development,” Liu Yinbin, associate professor with Dept of Information Management, Shanghai University, said. Experts also say customers are increasingly making their online purchases from mobile devices, opening up vast new opportunities and competition for retailers.8.What can we know about Liu Jia?A. He works as an online store owner in Shanghai.B. He begins working when most of people are still asleep.C. He has to work day and night to deliver so many products.D. He may deliver products within three hours of an order being placed at any time.9. What does the underlined word “essence” in Paragraph 3 mean?A. Way.B. Influence.C. Result.D. Advantage.10. What can we learn from the passage?A. Chen Hong buys most of her electronic products online.B. Pan Biao encourages retailers to open up new chances.C. China’s B2C online sales are growing at a rate of 25 percent.D. Liu Yinbin thinks competition will help make better products and services.11. Which of the following can be the best topic of the passage?A. Online shopping increases rapidly for Chinese New Year.B. Most customers buy food and articles for everyday use.C. Taobao and Jingdong are competing fiercely.D. Customers like buying mobile devices.B4Mars appears to be flowing with small streams of salty water, at least in the summer, scientists reported Monday. "It suggests that. it would be possible for there to be life today on Mars," NASA's science mission chief, John Grunsfeld, said at a news conference on September 28, 2015.The streams are about 12 to 15 feet wide and 300 feet or more long, scientists said. "What we're dealing with is wet soil. Thin layers of wet soil, not standing water," said Aifred McEwen of the University of Arizona at Tueson, the principal scientist for the Mars Reconnaissance Orbiter's high-resolution imaging experiment.Because liquid water is essential to life, the findings could have major implications for the possibility of Martian life. The researchers said further exploration is needed to determine whether microscopic life exists on the planet.The presence of liquid water could also make life easier for astronauts visiting or living on Mars. Water could be used for drinking and for creating oxygen and rocket fuel. NASA's goal is to send humans there in the 2030s.The evidence of flowing water consists largely of dark, narrow streaks(条痕) on the surface that tend to appear and grow during the warmest Martian months and fade the rest of the year.Mars is extremely cold even in summer, and the streaks are in places where the temperature is as low as minus 10 degrees Fahrenheit. But salt can lower the freezing point of water and melt ice.The source(源头) of the water is a mystery. Scientists noted it could be melting ice. It could be an underground aquifer, which is rock or sand that can hold water.It is possibly water vapor from the thin Martian atmosphere, or it may be a combination Michael Meyer, lead scientist for NASA's Mars exploration program, said the only definitive way for now to determine whether there's life on Mars is to collect rocks and soil for analysis on Earth - something a U. S. lander set for lift-off in 2020 will do.12. What matters to the existence of liquid water on Mars?A. The distance from the sun.B. The favorable climate.C. The gravity of the earthD.The salt in it.13. According to John Grunsfeld, on Mars there seems to be.A. salty waterB. standing waterC. rocket fuelD. human beings14. What are scientists uncertain about the water on Mars?A. Its state.B. Its source.C. Its temperature.D. Its taste.15.What would be the best title for the text? 'A Streams of Water Spotted on MarsB. Astronauts will Land on MarsC. NASA's Mars Exploration ProgramD. A Breakthrough in the Exploration of Mars第二节根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。

泄露天机——2016年金太阳高考押题 精粹 生物(学生用卷)

泄露天机——2016年金太阳高考押题 精粹 生物(学生用卷)

泄露天机——2016年金太阳高考押题精粹生物本卷共38题,三种题型:选择题、非选择题和选考题部分。

选择题20小题,非选择题12小题,选考部分包括2个专题,6个小题。

一、选择题(20小题)1.研究发现,寨卡病毒属于RNA病毒,乙肝病毒为DNA病毒。

寨卡病毒由蚊虫传播,通过血液感染,目前没有药物可以治疗寨卡热。

下列有关叙述正确的是()A.病毒仅含有核糖体这一种细胞器B.病毒核酸的复制需要宿主细胞的呼吸作用提供能量C.两病毒的遗传物质可直接整合到宿主细胞的染色体中D.寨卡病毒感染机体后,其遗传信息的传递与乙肝病毒相同2.甲图中①②③④表示不同化学元素组成的化合物,乙图表示由四个单体构成的化合物。

以下说法不正确的是()A.若甲图中的②大量存在于皮下和内脏器官周围等部位,则②是脂肪B.若甲图中④能吸收、传递和转换光能,则④可用无水乙醇提取C.乙图中若单体是氨基酸,则该化合物彻底水解后的产物中氧原子数增加3 个D.乙图中若单体是四种脱氧核苷酸,则该化合物彻底水解后的产物有5种3.下列关于生物体内化合物的叙述,错误的是()A.双链DNA一定有氢键,单链RNA一定没有氢键B.等重量的圆粒豌豆和皱粒豌豆中,含水量较多的应该是圆粒豌豆C.麦芽糖水解一定产生葡萄糖,mRNA的合成不一定在细胞核中进行D.缺水时,动物体内的反馈调节能促使机体减少水的排出4.将某哺乳动物的两种细胞置于一定浓度的Q溶液中,测定不同情况下吸收Q的速率,结果如下表所示:由表中数据能得出的结论是()A.两种细胞吸收Q均取决于浓度差B.两种细胞吸收Q均不需载体蛋白的参与C.胚胎干细胞吸收Q的方式为主动运输D.成熟红细胞吸收Q的方式为被动运输5.为研究高光强对移栽幼苗光合色素的影响,某同学用无水乙醇提取绿叶中的色素,并进行纸层析,如图为滤纸层析的结果(I、Ⅱ、Ⅲ、Ⅳ为色素条带)。

据此叙述正确的是() A.强光下的幼苗相比正常光照下的绿色更深B.四种色素在层析液中溶解度大小是I<Ⅱ<Ⅲ<ⅣC.强光照可能抑制叶绿素的合成,促进类胡萝卜素的合成D.操作中如果滤液细线触及层析液,会缩短得到四条色素带的时间6.下图表示测定金鱼藻光合作用强度的实验密闭装置,氧气传感器可监测O2浓度的变化,下列有关叙述错误的是()A.该实验的目的是探究不同单色光对光合作用强度的影响B.加入NaHCO3溶液的主要目的是吸收呼吸作用释放的CO2C.拆去滤光片,单位时间内氧气传感器测到的O2浓度高于单色光下O2浓度D.若将此装置放在黑暗处,可测定金鱼藻的呼吸作用强度7.吡唑醚菌酯是一种线粒体呼吸抑制剂,通过阻止线粒体内膜上的反应过程而抑制细胞呼吸,生产上常应用于防治真菌引起的农作物病害。

泄露天机——2016年金太阳高考押题 精粹 化学(学生用卷)

泄露天机——2016年金太阳高考押题 精粹 化学(学生用卷)

泄露天机——2016年金太阳高考押题精粹化学本卷共40题,二种题型:选择题、非选择题。

选择题21小题,非选择题19小题。

可能用到的相对原子质量:H 1 C 12 N 14 O 16 F 19 Na 23 Mg 24 AI 27 Si28 S 32 CI 35.5 K 39 Ca 40 Fe 56 Cu 64 Br 80 Ce 140第Ⅰ卷一.选择题(21个小题)1.中国传统文化对人类文明贡献巨大,我国古代的人民在那时候就已经广泛应用了相关的化学知识,古化文献中充分记载了古代化学研究成果。

下列关于古代化学的应用和记载,对其说明不合理的是()A.《本草纲目》中记载“(火药)乃焰消(KNO3)、硫磺、杉木炭所合,以烽燧铳机诸药者”,这是利用了“KNO3的氧化性”B.李白有诗云“日照香炉生紫烟”,这是描写“碘的升华”C.《本草经集注》中记载了区分硝石(KNO3)和朴消(Na2SO4)的方法:“以火烧之,紫青烟起,乃真硝石也”,这是利用了“焰色反应”。

D.我国古代人民常用明矾水除去铜器上的铜锈〔Cu2(OH)2CO3〕2.化学与环境、材料、信息、能源关系密切,下列说法中不正确的是()A.高铁酸钾(K2FeO4)是一种新型、高效、多功能水处理剂,既能杀菌消毒又能净水B.“光化学烟雾”、“臭氧空洞”的形成都与氮氧化合物有关C.尽量使用含12C的产品,减少使用含13C或14C的产品符合“促进低碳经济”宗旨D.高纯度的二氧化硅广泛用于制作光导纤维,光导纤维遇强碱会“断路”3.下列关于有机化合物的叙述正确的是()A.聚乙烯塑料的老化是由于发生了加成反应B.苯中含有碳碳双键,其性质跟乙烯相似C.乙烯使溴水褪色和苯与溴水混合振荡后水层变为无色原理相同D.(NH4)2SO4浓溶液和CuSO4溶液都能使蛋白质沉淀析出4.中国女科学家屠呦呦因发现青蒿素而获颁诺贝尔生理学或医学奖。

下图是青蒿素的结构,则有关青蒿素的说法中正确的是()A.青蒿素分子式为C15H20O5B.可用蒸馏水提取植物中的青蒿素C.青蒿素在碱性条件下易发生水解反应D.青蒿素遇湿润的淀粉碘化钾试纸立刻显蓝色,是因为分子结构中含有酯基OCH3OCH3H3COO O5.关于青蒿素和双氢青蒿素(结构如图)的下列说法中,错误的是( )青蒿素 双氢青蒿素 A.青蒿素能发生还原反应B.双氢青蒿素发生酯化反应和氧化反应C.青蒿素分子中含有过氧链和酯基、醚键D.双氢青蒿素分子中有2个六元环和2个七元环6.某有机物M7.4g 与足量氧气反应后,所得气体依次通过盛有浓H 2SO 4和碱石灰的装置,两装置分别增重9g 和17.6g ;同温同压下,M 蒸汽的密度是H 2的37倍,则能够与钠反应放出H 2的M 的同分异构体的数目(不考虑立体异构)( ) A.8 B.6 C.4 D.27.用H 2O 2溶液处理含NaCN 的废水的反应原理为:NaCN+H 2O 2+H 2O===NaHCO 3+NH 3,已知:HCN 的酸性比H 2CO 3弱。

【全国卷--含答案与详解】2016年高考英语押题精粹试卷 (1)

【全国卷--含答案与详解】2016年高考英语押题精粹试卷 (1)

绝密★启用前【全国卷】2016年高考英语押题精粹试卷英语试卷考试范围:xxx;考试时间:100分钟;命题人:xxx学校:___________姓名:___________班级:___________考号:___________ 题号一二三四五总分得分注意事项:1、答题前填写好自己的姓名、班级、考号等信息 2、请将答案正确填写在答题卡上评卷人得分一、填空题1、(10分)Have you complained your family, your boss, or even your life? Maybe everyone has, but after reading this story, you may change your view and treat the world with another attitude.An ass (驴), (belong) to an herb-seller who gave him too little food and too much work, could not bear the life any longer. Sohe made a request to God, to be released from his present service and provided with master. After warning him he would regret doing it, God made him to be sold to a tile-maker. Shortly afterwards, the ass found that he had (heavy) loads to carry and harder work in the brick-field, and asked for another change again. God, telling him that it would be last time that he could satisfy his request, made him sold to a tanner (皮革工). The ass found thathe (fall) into worse hands. Knowing his new master’s occupation, he said, “It would have been better for me either to have been starved by the first owner to have been overworked by the second. But now I have already been bought by my presentowner, will peel off my skin even after I am dead, and make me useful .”We can see that people with dissatisfaction in a place arenot (like) to find happiness in another.2、(10分)The Italian dinners we had every Sunday when I was a boy werefeasts fit for a king. There (be) loaves of Italian bread ready to be eaten. They were great with butter andeven (good) when you dipped them in the sauce(调味汁). My grandma, we called "Nanny", would always bake them a day ahead so they would be ready. I remember watching her hand make thedough(面团). I would often ask to help but only because I wanted tohave bite of the dough before she placed it in the pans to bake.One day I (foolish) asked Nanny why she didn’t just buy bread at the store (save) time. “Because they’re not as good,” she said her thick Italian accent. Then she laughed, smiled, and gave me a piece of dough to eat.Nanny was right. Today I buy my bread at the store and it isn’t as good. It is factory-made and (lack) all the taste, warmth, and love that Nanny put into hers. Store-bought happiness is a sad substitute for homemade joy. you want lasting love, permanent peace, and endless joy, then you have to bakethem your own.评卷人得分二、改错题3、(10分)假定英语课上老师要求同桌之间交换修改作文,请你修改你同桌写的以下作文。

(泄露天机)江西省高考英语押题精粹试题

(泄露天机)江西省高考英语押题精粹试题

(泄露天机)江西省高考英语押题精粹试题英语本卷共18题,三种题型:阅读理解、英语知识运用和写作。

阅读理解10小题,英语知识运用4小题,写作4小题。

第一部分阅读理解(共10小题)第一节阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在题卡上将该项涂黑。

A1A report from the American Academy of Arts and Sciences' Commission reveals that, due to a job market which disproportionately rewards graduates in STEM (science, technology, engineering, and mathematics) fields, more and more students are seeking degrees in business and hard-science subjects.Some institutions have responded by cutting budgets in the arts and humanities and directing those funds elsewhere. That's the wrong thing to do. The humanities study of languages, literature, history, philosophy, religion, ethics, etc.-and the arts are vital to our future. We should be investing more funds, more time and more expertise, not less, into these endeavors.What detractors(诋毁者)of the "soft" subjects miss is that the arts and humanities provide an essential framework and context for understanding the wider world. Studying the humanities strengthens the ability to communicate and work with others. It allows students to develop broad intellectual and cultural understanding; it nurtures creativity and deepens participation in public discourse and modem democracy.The commission's report points out that "at the very moment when China is seeking to adopt our model of broad education in the humanities, social sciences and natural sciences as a stimulus to invention, the United States is instead narrowing our focus and abandoning our sense of what education has been and should continue to be our sense of what makes America great."These are the telling statistics: First, federal funding for helping American students include international training in their education has been cut 41 percent in four years. Second, the National Assessment of Educational Progress test shows that only less than a quarter of eighth- and 12th-grade US students are proficient in reading, writing and civics.How can we possibly equip the US for its leadership role in an increasingly connected world if we are not adequately teaching students to communicate and helping them understand and encounter diverse perspectives? If we fail to invest in the arts and humanities, our country's future leaders will not have the ability to connect on an emotional level with others. This ability is developed by studying the humanities, and in the global community this skill is not optional - it's essential.In a word, we must enthusiastically support and fund the study of the arts and humanities. For anyone concerned with how this translates into a sound economy and a sound financial future, simply recall what Steve Jobs told graduates of Stanford University in 2005: One of the most influential experiences in his brief time at Reed College was his exposure to the fine art of calligraphy(书法).It taught him the important lesson of the relationship between discipline andcreativity.1. What can be inferred from the passage?A. Business and hard-science subjects are based upon the arts and humanities.B. At present too much emphasis and investment are put on science in America.C. More students will learn the arts and humanities instead of science in the USA.D. China has spent more money in the humanities and social sciences than the USA.2. The author mentions Steve Jobs in the last paragraph to prove that _____.A. science has a close relationship with the arts and humanitiesB. investment in the arts and humanities promotes economic developmentC. calligraphy plays a determining role in Steve Jobs' accomplishmentD. Reed College supports and funds the study of the arts and humanities3. Which of the following is the most suitable title for this passage?A. Significance of arts and humanitiesB. Key qualities of future leadersC. Decline of arts and humanitiesD. Rise and fall of hard sciences答案:1.B 2.B 3.A解析:1.B,推断题,根据第一段最后一句话:more and more students are seeking degrees in business and hard-science subjects.越来越多的学生学习理科和商业说明现在国家把重点和投资投在了这些方面。

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泄露天机——2016年金太阳高考押题精粹英语第一部分阅读理解 (共10小题)第一节阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在题卡上将该项涂黑。

A1All around the world, an increasing number of people are spending their time taking part in online volunteering projects. What encourages them to help strangers without expectation of money or even thanks?Radha Taralekar helped teach Imelda how to protect herself from HIV, though the two have never met, and neither knows the other’s name. Taralekar received no payment for the job. For Taralekar, the pro ject gave her the chance to use her professional experience. “I want to serve people with my medical knowledge,” she said. For some, the inspiration to volunteer online was far more personal. After losing his wife to cancer, Tony Selman spent many hours online helping Cancer Research to collect information on the illness. “Seeing how painful she was when my wife was dying, I decided to help scientists find a way to treat cancer,” he said.Interests and hobbies are also one of the reasons. Sam Luk joined other online volunteers to try to help the police solve murder cases. The police posted them online, calling for volunteers to help them to make sense of the messages. “I am interested in this and I love Sherlock Holmes,” said Luk.For writer Clay Shirky, some large online volunteering projects help millions of people, giving him a sense of achievement. He helps write Wikipedia, the world’s biggest encyclopedia (百科全书), which is written by people willing to use their professional knowledge.1. We can know that Radha Taralekar may be a ____.A. teacherB. doctorC. writerD. policewoman2. Why did Tony Selman decide to help Cancer Research?A. He had much time to spend online.B. He saw many people die of cancer.C. His wife was dead because of cancer.D. He became a member of Cancer Research.3. Sam Luk volunteered to help the police because of ____.A. his interests and hobbiesB. his duty of workC. money in returnD. a sense of achievement4. How many reasons why people help strangers online are mentioned in the text?A. One.B. Two.C. Three.D. Four.A2At times my mom has been uncomfortable seeing these qualities in me. For example,when I was 12,I went to Puerto Rico all by myself to stay with my grandmother for the summer. My mom was extremely nervous about it. She kept telling me how things were different in Puerto Rico,to always put on sunscreen,not to wander away from my grandmother,and other warnings. She helped me pack and did not leave the airport until she saw my plane take off.But despite her worries,she let me go on my own. As I moved into my teens,she continued to give me space to grow and learn,even when it might have been difficult for her. When I reached my senior year,I decided to move away for college. Once again I found that I differedfrom my peers:While many of them wanted to stay close to home,I couldn’t wait to be out in the world on my own. While my mom may not have been happy at the thought of my going away,she was supportive and excited for me.One big thing I realized during my senior year,as my mom granted me more freedom,was that she actually believes in me and trusts me. That means a lot. Most of my life,and especially when I was little,the main person I tried to impress in my schoolwork or other things was my mother. I knew she expected nothing but the best from me. Sometimes it was hard to live up to her standards: getting a single B on my report card would make me feel bad because I knew she wanted me to have all A’s.I know that her high standards have helped me stay focused on what’s important,like education,and made me who I am. I am thankful for her support and involvement in my life .Most of all I respect her. She is the strongest woman I know and that’s why I have turned out so strong and independent.5. When the author decided to go to Puerto Rico,his mother________.A.wanted to go with him B.worried about his safetyC.didn’t allow him to do soD.asked his grandmother for advice6. Why did the author decide to move away for college?A.He wanted to be different from his peers.B.He planned to keep away from his mother. C.He intended to make his mother unhappy.D.He wanted to be independent in the outside world.7. We can learn from Paragraph 3 that the author’s mother________.A.was too strict with himB.cared little about his learningC.had a high expectation of himD.used to expect nothing from him8. What does the author mainly want to tell us in the text?A.His mother’s deep love for himB.His long way to become independentC.His good relationship with his motherD.The importance of his mother’s trust and supportA3Would you eat a ready meal from the fridge rather than cook from scratch? Have you been doing Internet shopping rather than going to the stores? What can’t you be bothered to do?A study into how lazy British people are has found more than half of adults are so idle that they’d catch the lift rather than climb two flights of stairs.Just over 2,000 people were interviewed by independent researchers at Nuffield Health, Britain’s largest health charity. The results were s urprising.About one in six people surveyed said if their remote control was broken, they would continue watching the same channel rather than get up.More than one third of those questioned said they would not run to catch a bus. Worryingly, of the 654 respondents with children, 64% said they were often too tired to play with them.This led the report to conclude that it’s no wonder that one in six children in the UK are classified as obese before they start school. Dr.Sarah Dauncey, medical director of Nuffield Health, said, “People need to get fitter, not just for their own sake, but for the sake of their families, friends and evidently their pets too. If we don’t start to take control of this problem, a whole generation will become too unfit to perform even the simple tasks.”And Scotland’s largest city, Glasgow, was shamed as the most indolent city in the UK, with 75% surveyed admitting they do not get enough exercise, followed closely by Birmingham andSouthampton, both with 67%.The results pose serious challenges for the National Health Service, where obesityrelated illnesses such as heart disease and cancer have been on a steady increase for the past 40 years and are costing billions of pounds every year.9. What do lazy British people probably choose to do?A. Go to stores.B. Catch the lift.C. Cook from scratch.D. Climb flights of stairs.10. How many people surveyed don’t play with children because of tiredness?A. About 333.B.About 419.C. About 654.D. About 1280.11. What is the potential result of more and more people, including children, getting obese?A. People will not get enough exercise.B. People will not have enough money.C. People will not be able to do the easy job.D. People will not cure themselves of heart disease.12. What is the author’s attitude towards the finding of the study?A. Indifferent.B. Doubtful.C. Negative.D. Supportive.A4Nobody likes an old poop(傻子). Developing a sense of humor is part of becoming a mature, emotionally healthy individual. Laughter is good for the soul, builds friendships and relieves stress. It serves as the glue for social situations and as an ice-breaker for sadness and boredom. If you’ve ever been told to “lighten up” or “chill out”, you should save the blue attitude for seriou s situations and develop your sense of humor.Forgive the accidental. A sudden fall is humorous not because we like to see people fall, but because it surprises. From a spilled(溢出)water glass in a meeting to Aunt Rae’s teeth coming off in the Thanksgiving turkey, the embarrassment of accidents can be relieved by humor and a helping hand. After making sure that nobody’s hurt, forgive accidents with a chuckle(咯咯地笑)rather than a scolding.Look for the unexpected. The kid who used to look at you with his eyes closed during a test had the idea. Parents who serve green eggs and ham to their children on graduation day get the idea. Unexpected actions lighten an atmosphere and relax people.Learn to laugh with your kids. Most of what children say and do is funny. Help them learn that accidents are sometimes funny and sometimes occasions for joining in and helping another human being. By sharing laughs and attempting to explain humor, you develop your sense of humor, as well as help kids develop their own sense of humor.13. If you’ve ever been told to “lighten up” or “chill out”, it means ______.A. you are humorousB. you are angryC. you lack humorD. you are funny14. According to Paragraph 2, when your friend falls, you can ______.A. laugh at himB. chuckleC. scold himD. feel embarrassed15. What is the best title for the text?A. How to Develop a Sense of HumorB. Ways to Become a Healthy IndividualC. The Function of HumorD. Proper Attitudes Toward HumorB1I clearly remember the day when my little brother was born: January 1, 1994. One of my favorite family photos shows me lying with my mother in the hospital bed, happy but un-aware of the small, sleeping baby in the background.I stayed with my grandparents for the weekend of my brother’s birth, excited about my newbrother but not yet aware of what having a little brother would mean. I didn’t truly realize what was going on until we were in the hospital room at Duke University—coincidentally (碰巧地), the same room in which I had been born two years earlier.When I looked at my brother for the first time, I felt a mixture of fear and interest. Little did know that small, pink creature would grow up to be one of my favorite people in the world.In reality, though I am two years older than my brother, I am more often than not the real baby in the family. I am very lacking when it comes to common sense. Instructions constantly confuse me and I frequently find myself totally puzzled by things like knowing how to start the washing machine or manage the storage settings on my iPhone.That’s where Gibson comes in. The poor kid has had to guide me through more tasks than I would care to admit, but he never complains. Though I should probably be told to figure it out myself, he always comes through.I’ m envious of his ability to readily answer the ever-present, “What do you want to do with your life?”question at family gatherings. “Be a doctor,”he says—a solid answer, completely opposite to my shaky one, “Well, I’m an English major, so...”My brother truly is my best friend. No one understands me better, and there isn’t anyone else I would want to be stuck with in our family. I may not have a clear idea of where I’m headed, but he is stuck with me.1. What does the underlined sentence in Paragraph4 mean?A. My brother is the real baby in the family.B. I am growing more slowly than my brother.C. In fact, I seem to be less mature than my little brother.D. My brother gets more love from the family than I do.2. What does the brother often help the author do?A. Help him with his studies.B. Help him deal with many daily tasks.C. Comfort him when he is in a bad mood.D. Give him advice on how to choose a major.3. What is the best title for this text?A. The Real Baby in the FamilyB. My Strange Family GatheringsC. The Feeling of Having a BrotherD. Stuck with Me—My Not-So-Little BrotherB2Camp Jano IndiaCelebrate Indian culture, languages, arts, festivals and literature. Weekly themes are brought to life through related arts, games, projects, stories and theatre in a very unique, exciting, creative, interactive (互动的) and structured style. A very unique and unforgettable experience that kids will want to repeat! Mornings are spent with the Hindi language at the child’s level. Afternoons provide the cultural elements taught in an interactive style with special emphasison drama.Bay Language AcademyWe invite campers (4-12 years old) to travel and open up doors to explore past and recent civilizations through daily field trips. Cultures will be shown through customs and cooking. Lectures (6/10-8/30) will introduce French, Spanish or Chinese and the cultures they convey. Our language summer-camp is infused(灌输) with cultural activities and taught by a team of bilingual(双语的) instructors.Petits ConfettisWant your 3- to 5-year-old kids to experience a French camp? Come and join us for 6 weeksof French camps!Kids will be totally happy to learn French and French culture while they take part in team projects like building a tipi or making French bread. Weekly themes include cooking, arts, drama, outdoor activities, board games, music, yoga, rhymes and story time.Chinese Immersion Summer CampThis is our 11th Chinese language and culture summer camp.We take children from 6th grade. This year we continue the weekly fun themes like art, science, cooking and sports in the morning. In the afternoon, we have abacus, reading and Chinese culture lessons taught in Chinese. Our teachers are all native speakers with a lot of experience. Our weekly field trips go to different places like SF zoo, tech museums, fire stations etc.4. Why can Camp Jano India give children anunforgettable experience?A. It has quite experienced teachers.B. It teaches Indian languages at different levels.C. The activities are arranged for the whole day.D. The activities are carried on in an interesting style.5. Bay Language Academy and Chinese Immersion Summer Camp are similar because ______.A. they both provide field tripsB. they both have bilingual teachersC. they both provide sports programs in the morningD. they are both intended for kids of 4-12 years old6. If a girl likes yoga, she will go to ______.A. Camp Jano IndiaB. Bay Language AcademyC. Petits ConfettisD. Chinese Immersion Summer Camp7. What is the common theme of the four camps?A. Fun and sports.B. Travel and adventure.C. Language and culture.D. Art and music.B3Online purchases have soared during the Chinese New Year holiday.It’s the dead of winter in Shanghai. Delivery man Liu Jia and his colleagues start the day when most of people are still asleep. Working at a distribution point of a shopping website in Shanghai, they promise to deliver products within three h ours of an order being placed. “I buy most of my grocery online, especially the heavy items. It’s convenient and cheap compared to the supermarket in my neighborhood,” Customer Chen Hong said. Orders such as these have increased for the New Year, forcing L iu Jia to work around the clock. “The orders are usually rice, laundry detergent(洗涤剂), tissue paper and snacks, mostly food and articles for everyday use,” Liu Jia said.According to an industry report, China’s B2C (Business to Customer)online sales are growing at an annual rate of 25 percent. Competition between online giants like Taobao and Jingdong is now fiercer than ever. “The essence of online shopping is that customers can buy products easily. So the competition is about: firstly, the range of products; secondly, the depth under each category of products; third, the price and user experience,” Pan Biao, vice president of , said. E-commerce is one of China’s fastest growing sectors. It’s changed people’s buying habits, and even their living habit s. And it’s had a huge impact on the retail industry. To make online shopping more convenient, major sites are investing heavily to build payment systems and logistics(物流)networks.On average, a retailer now can deliver goods to the majority of cities within 3 days, and to towns and more remote areas in the country within a week. “Competition will produce a numberof good companies, making better products and services that customers need. In the field of E-commerce, we are leading the world in terms of products, services and industry development,” Liu Yinbin, associate professor with Dept of Information Management, Shanghai University, said. Experts also say customers are increasingly making their online purchases from mobile devices, opening up vast new opportunities and competition for retailers.8.What can we know about Liu Jia?A. He works as an online store owner in Shanghai.B. He begins working when most of people are still asleep.C. He has to work day and night to deliver so many products.D. He may deliver products within three hours of an order being placed at any time.9. What does the underlined word “essence” in Paragraph 3 mean?A. Way.B. Influence.C. Result.D. Advantage.10. What can we learn from the passage?A. Chen Hong buys most of her electronic products online.B. Pan Biao encourages retailers to open up new chances.C. China’s B2C online sales are growing at a rate of 25 percent.D. Liu Yinbin thinks competition will help make better products and services.11. Which of the following can be the best topic of the passage?A. Online shopping increases rapidly for Chinese New Year.B. Most customers buy food and articles for everyday use.C. Taobao and Jingdong are competing fiercely.D. Customers like buying mobile devices.B4Mars appears to be flowing with small streams of salty water, at least in the summer, scientists reported Monday. "It suggests that. it would be possible for there to be life today on Mars," NASA's science mission chief, John Grunsfeld, said at a news conference on September 28, 2015.The streams are about 12 to 15 feet wide and 300 feet or more long, scientists said. "What we're dealing with is wet soil. Thin layers of wet soil, not standing water," said Aifred McEwen of the University of Arizona at Tueson, the principal scientist for the Mars Reconnaissance Orbiter's high-resolution imaging experiment.Because liquid water is essential to life, the findings could have major implications for the possibility of Martian life. The researchers said further exploration is needed to determine whether microscopic life exists on the planet.The presence of liquid water could also make life easier for astronauts visiting or living on Mars. Water could be used for drinking and for creating oxygen and rocket fuel. NASA's goal is to send humans there in the 2030s.The evidence of flowing water consists largely of dark, narrow streaks(条痕) on the surface that tend to appear and grow during the warmest Martian months and fade the rest of the year.Mars is extremely cold even in summer, and the streaks are in places where the temperature is as low as minus 10 degrees Fahrenheit. But salt can lower the freezing point of water and melt ice.The source(源头) of the water is a mystery. Scientists noted it could be melting ice. It could be an underground aquifer, which is rock or sand that can hold water.It is possibly water vaporfrom the thin Martian atmosphere, or it may be a combination Michael Meyer, lead scientist for NASA's Mars exploration program, said the only definitive way for now to determine whether there's life on Mars is to collect rocks and soil for analysis on Earth - something a U. S. lander set for lift-off in 2020 will do.12. What matters to the existence of liquid water on Mars?A. The distance from the sun.B. The favorable climate.C. The gravity of the earth D.The salt in it.13. According to John Grunsfeld, on Mars there seems to be.A. salty waterB. standing waterC. rocket fuelD. human beings14. What are scientists uncertain about the water on Mars?A. Its state.B. Its source.C. Its temperature.D. Its taste.15.What would be the best title for the text? 'A Streams of Water Spotted on Mars B. Astronauts will Land on MarsC. NASA's Mars Exploration ProgramD. A Breakthrough in the Exploration of Mars第二节根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。

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