丹徒高级中学高三5-9班周末练习

迎期末高二数学综合训练（三）一、选择题：选择题：本题共8小题，每小题5分，共40分.1.为了判定两个分类变量X 和Y 是否有关系，应用2K 独立性检验法算得2K 的观测值为5， 又已知()23.8410.05P K ≥=，()26.6350.01K P ≥=，则下列说法正确的是---------【 】 A ．有99%以上的把握认为“X 和Y 有关系” B ．有99%以上的把握认为“X 和Y 没有关系” C ．有95%以上的把握认为“X 和Y 有关系” D ．有95%以上的把握认为“X 和Y 没有关系”2.已知回归直线方程中斜率的估计值为1.23，样本点的中心为（4，5），则回归直线方程为---【 】 A ． 1.23x +0.08 B ．0.08x +1.23 C ． 1.23x +4 D ．1.23x +53.函数x e y x= 在（0，2）上的最小值是----------------------------------------------------------------【 】 A.2e B.e e 2 C.32eD. e4.如图，函数y =f （x ）的图象在点P 处的切线方程是y =－x +8，则f （5）+f ’（5）=-------【 】A. 2B. 1C.21D. 0 5．函数y ＝f (x )是R 上的奇函数，当x <0时，f (x )＝2x ，则当x >0时，f (x )＝------------------------【 】A ．－2xB ．2－xC ．－2－x D ．2x6．函数ln ()sin xf x x x=+的部分图象大致是-----------------------------------------------------【 】A ．B ．C ．D ．7．若ln 22a =，ln 33b =，ln 55c =，则a ，b ，c 的大小关系为-------------------------------【 】 A ．a ＞c ＞b B ．a ＞b ＞c C ．c ＞a ＞b D ．b ＞a ＞c8.已知函数24,0()(2)1,0x x f x xx x ⎧+>⎪=⎨⎪+-≤⎩，若方程()20f x m -=恰有三个不同的实数根，则实数m 的取值范围是----------------------------------------------------------------------------【 】 A ．(2,)+∞ B ．(4,)+∞ C ．(2,4) D ．(3,4)二、多项选择题:本题共3小题,每小题5分,共计15分．在每小题所给的A .B .C .D .四个选项中， 有多项是正确的，全部选对的得5分，部分选对的得3分，有选错的得0分． 9.已知函数y ＝f (x )的导函数f ′(x )的图象如图所示，给出下列判断：A.函数y ＝f (x )在区间⎪⎭⎫ ⎝⎛21-3-，内单调递增； B.当x ＝－2时，函数y ＝f (x )取得极小值；C.函数y ＝f (x )在区间(－2，2)内单调递增；D.当x ＝3时，函数y ＝f (x )有极小值．则上述判断正确的是--------------------------------------------------【 】10．已知点A (1，2)在函数f (x )＝ax 3的图象上，则过点A 的曲线C ：y ＝f (x )的切线方程是-----------------------------------【 】A ．6x －y －4＝0B ．x －4y ＋7＝0C ．4x －y ＋7＝0D ．3x －2y ＋1＝011.下列结论中不正确的是--------------------------------------------------【 】A. 函数21()2x xf x -⎛⎫= ⎪⎝⎭的单调增区间为⎝⎛⎭⎫－∞，12 B. 函数f (x )＝2x －12x ＋1 为奇函数C. 函数y ＝1x ＋1的单调减区间是(－∞，1)和(1，＋∞)D. 1x>1是x <1的必要不充分条件三、填空题：本大题共3小题，每小题5分，计15分．只要求写出最后结果，12．甲、乙二人各进行1次射击，如果两人击中目标的概率都是0.7，两个人射中与否相互之间没有影响，那么其中恰有1人击中目标的概率是 ．13．函数f (x )＝2x －1在[－2,0]上的最大值与最小值之差为 ．14.函数f (x )＝－x 2＋2|x |＋1的单调增区间为 ．三、解答题：本大题共3小题，计30分．解答应写出必要的文字说明、证明过程或演算步骤．15．(8分)已知f (x )＝xx －a(x ≠a )．(1)若a ＝－2，试证f (x )在(－∞，－2)内单调递增；(2)若a ＞0且f (x )在(1，＋∞)内单调递减，求a 的取值范围．16．（11分）已知函数f (x )＝x 3＋ax 2＋bx (a ，b ∈R)图象过点P (1,2)，且f (x )在点P 处的切线与 直线y ＝8x ＋1平行．(1)求a ，b 的值；(2)若f (x )≤m ＋5m 在[－1,1]上恒成立，求正数m 的取值范围．17. 《中国制造2025》是经国务院总理李克强签批，由国务院于2015年5月印发的部署全面推进实施制造强国的战略文件，是中国实施制造强国战略第一个十年的行动纲领。

枣阳一中2014届高三周末测试卷数学试题(理科)考试时间：2013-09-22 下午15:20----17:20、选择题：本大题共题目要求的。

10小题, 每小5分，在每小题给出的四个选项中，只有一项是符合1.已知集合2X,x lg(2x2X )，则Ml N为(A. 1,2 B.1,C. 2,D. 1,2.已知函数 f(x) log2 X (x 0)x2(x 0)，则不等式 f (x) 0的解集为(A. {x | 1} B {x | 1 X 0} C. {x |0 X 1} D. {x |x 1}3.设f(x)为奇函数, 且在(-s, 0) 上递减，f( -2)=0，则Xf (x)<0的解集为(A、( - s, -2) (2 ,+s )C、( - s, -2)U (2 ,+s ) (-2, 2)4.设X0是方程ln x x 4的解，则X0属于区间A. (0, 1)B. (1 , 2) C D. ( 3, 4)5.已知 f (x)在R上是奇函数，且f(xx 24) f(X),当X (0,2)时,f (x) 2x2,则f(7)A.98 B. -98C.2D. -26.已知5log23.4,b 匚log4 3.6 c5 ,clog3 0.3，则c. a D. cab7.定义在R上的函数f(x)满足下列三个条件:① f (x 3) 1 ; f^;②对任意X1,X2 [3,6]，当X1 X2时，都有f(X1) f(X2);③y f(x 3)的图象关于y轴对称,则下列结论正确的是(A. f(3) f(7)f(4.5) B. f (3)f(4.5 )C. f(7) f(4.5) f(3)D. f(7)f(3) f (4.5)12.国家规定个人稿费纳税办法是：不超过 800元的不纳税；超过 的按超过800元部分的14%纳税；超过4000元的按全部稿酬的一本书，共纳税420元时，这个人应得稿费(扣税前)为V x 2 2x 313.函数f(x)—仝匚"的定义域为tanx14.某同学为研究函数f (x) 71 x 2 J 1 (1 X )2(0 x 1)的性质，构造了如图所示的两个边长为 1的正方形ABCD 和BEFC ，点P 是边BC 上的一个动点，设 CP= X ，贝UAP+ PF 二f(x).请你参考这些信息， 推知函数f (X)的图象的对称轴是 _________ ；函数g(x) = 4f (x)- 9的零点的个数是A. 若命题P 为真命题，B.命题“ X R,2XC. “ Sin1”是2D.命题“若 xy 0 , 则 9.设 x € R ，贝y “ 、1” 是A. 充要条件8.下列判断正确的是( 0 ”aC.充分不必要条件 )命题 q 为假命题，则命题“ P q ”为真命题的否定是“X 0 R,2x06”的充分不必要条件0”的否命题为“若xy 0,则x 0”2X 2+ X — 1 > 0”的( )10.已知函数f(x) In X 2€ [1 , 2]，使f(xA . (2,7]二、填空题：本大题共 不得分。

9.16上课之前要交每周必刷题1．若函数121)(-+=x a x f 是奇函数，则实数a 的值为．2．已知函数)22)(2sin(2)(πϕπϕ<<-+=x x f 的图象关于直线6π=x 对称，则)0(f 的值为__________.3.已知函数a x x f x g x x x e x f x ++=⎩⎨⎧>≤=)()(,0,ln 0,)(，若)(x g 存在2个零点，则a 的取值范围是_________.4.ABC ∆的内角C B A ,,的对边分别为c b a ,,，若ABC ∆的面积为4222c b a -+，则C =__________.5.函数)63cos()(π+=x x f 在[]π，0的零点个数为__________.6.设函数⎩⎨⎧>≤+=0,20,1)(x x x x f x ，则满足1)21()(>-+x f x f 的x 的取值范围是__________.7.已知条件{}01|:2≤++=ax x x A p ，条件{}023|:2≤+-=x x x B q ，若非q 是非p 的充分不必要条件，则实数a 的取值范围是_________.8.设函数221)(m mx x x f -+-=，若|)(|x f 在[]10，上单调递增，则实数m 取值范围为___________.9.已知R b a ∈,，且063=+-b a ，则b a812+的最小值为___________.10.已知在ABC ∆中，角C B A ,,所对的边分别为c b a ,,，若0)(=⋅+→→→BC AC AB ，且bc a A 2432cos -=，则ABC ∆面积的最大值为____________.(第21-C 题图)x B A O 二、【附加题部分】11.已知圆C ：221x y +=在矩阵0=(0,0)0a a b b ⎡⎤>>⎢⎥⎣⎦A 对应的变换作用下变为椭圆22194x y +=，求a ，b 的值．12.在极坐标系中，求经过三点O (0，0)，A (2，2π)，B(，4π)的圆的极坐标方程．13.已知|1xf.=axx||1+|)(--（1）当1xf的解集；(>a时，求不等式1)=（2）若()1,0x时不等式x∈(成立，求a的取值范围.)f>x三、解答题.14.已知βα，为钝角，且53sin =α，532cos -=β（1）求βtan 的值；（2）求)2cos(βα+的值．15.销售甲种商品所得利润是P 万元，它与投入资金t 万元的关系有经验公式1+=t at p ，销售乙种商品所得利润是Q 万元，它与投入资金t 万元的关系有经验公式bt Q =，其中b a ,为常数．现将3万元资金全部投入甲、乙两种商品的销售：若全部投入甲种商品，所得利润为49万元；若全部投入乙种商品，所得利润为1万元．若将3万元资金中的x 万元投入甲种商品的销售，余下的投入乙种商品的销售，则所得利润总和为)(x f 万元．（1）求函数)(x f 的解析式；（2）怎样将3万元资金分配给甲、乙两种商品，才能使所得利润总和最大，并求最大值．。

高三语文周末练习（一）本试卷共8页，满分100分，考试用时120分钟。

一、现代文阅读（18分，每小题3分）阅读下面的文字，完成1～3题。

（9分）书画装裱书画装裱是伴随着书画创作产生和发展的一种特殊的工艺。

从现今保存的历史资料看，早在1500年前书画装裱就已经出现了，而且对于装裱浆糊的制作、防腐，装裱用纸的选择，以及古画的除污、修补、染黄等都有文字记载。

在两晋时代，书画装裱进入初创时期，在选材、样式及技法上还不完善。

南北朝时，书画装裱有了初步的发展，产生了卷轴这种装裱样式。

唐代以人物、山水、楼宇为题材的大幅绘画勃然兴起，书画装裱获得了很大的发展，产生了挂轴和册页这两种新的装裱样式。

五代的历史非常短暂，但绘画艺术却取得了明显的进步，对后世产生了深远的影响。

这一时期，由于画绢方面的扩大，大型绘画的创作就成为可能。

一些作品成为屏风的装饰，而后人可能在屏风修理过程中，将其以单幅作品的形式进行装裱和收藏。

宋代书画名家层出不穷，书画装裱飞跃发展。

宋代帝王十分喜好书画，在宫廷内设立翰林图书院，以奉绘事；同时又设立专门装裱书画的作坊，制定装裱书画的格式。

此时，书画装裱工艺进入成熟阶段，装裱样式有了新的发展，产生了著名的“宣和装”手卷。

随着丝织技术的发展；各种质地花纹的织物为书画装裱提供了丰富的物质基础，被广泛用作装裱材料。

不过，著名书画家米芾认为：绢比纸耐磨，书画展开和卷超过程中二者相互摩擦容易导致书画磨损。

因此，他主张以纸来托裱书画，他的这种观点对后世书画的保存产生了重要影响。

明代是我国绘画发展的重要时期，书画装裱也进入发展的黄金时期。

明朝皇帝把仁智殿作为御用画院，并设立了专门从事书画裱糊的机构。

此时，江南地区出现了一批通晓诗文书画的文人雅士，文人画有了很大的发展。

在这种背景下，以苏州为发样地的“苏裱”开始兴起并广受推崇，书画装裱出现了“普天之下独逊吴中”的景象。

在书画装裱样式方面，原有的手卷、册页等装裱样式更加完备，挂轴已经基本定型并开始普及，万历年间在挂轴的基础上，产生了对联这种新的装裱样式。

心尺引州丑巴孔市中潭学校塘栖2021届高三数学上学期周末练习试题一．选择题〔每题5分，共40分〕 1、集合2{|ln(1),},R A y y x x R C A ==+∈则= 〔 〕A ．∅B ．〔—∞，0]C ．〔—∞,0〕D ．[0,+∞〕2、b a ,是实数，那么“||a b a b -≥+〞是“0<ab 〞的 〔 〕A ．充分不必要条件B ．必要不充分条件C ．充分必要条件D ．既不充分也不必要条件3、函数15,0(),51,0xx x f x x -⎧-≥⎪=⎨-<⎪⎩那么该函数为 〔 〕A ．单调递增函数，奇函数B ．单调递增函数，偶函数C ．单调递减函数，奇函数D ．单调递减函数，偶函数4、正方体ABCD-A 1B 1C 1D 1中BC 1与截面BB 1D 1D 所成的角是 〔 〕A ．6π B ．4π C ．3π D ．2π5、某四棱锥的三视图〔单位：cm 〕如下列图，那么该四棱锥的体积是 〔 〕A 333B 3433C 3833D 33cm6、设实数列{}{}n n a b 和分别为等差数列与等比数列，且11444,1a b a b ====，那么以下结论正确的选项是 〔 〕A ．22a b > B ．33a b < C ．55a b > D ．66a b >7、设圆锥曲线C 的两个焦点分别为F 1，F 2，假设曲线C 上存在点P 满足|PF 1|：|F 1F 2|：|PF 2|=4：3：2， 那么曲线C 的离心率等于 〔 〕A ．2332或 B ．23或2 C ．12或2 D ．1322或 8、△ABC 外接圆的半径为1，圆心为O ，且2,||3||,AB AC AO AB OA CA CB +==⋅则的值是〔 〕A ．3 BC D ．1二、填空题〔多空题每题6分，单空题每题4分〕 9、集合M={}20|<<x x ，集合N ={}1342<+-x x e x ，N= ,那么=N M10、如果双曲线的两个焦点分别为12(0,3)(0,3)F F 和，其中一条渐近线的方程是y x =，那么双曲线的实轴长为 ．离心率= 11、在等比数列{}n a 中，假设1234158a a a a +++=，2398a a =-，那么=⋅41a a 那么12341111a a aa +++= 12、函数()2cos 2[0,]2f x x x m π=+-在上有两个零点21,x x ，那么21x x +=那么m 的取值范围是 13、单位向量,a b ，满足(2)(2)1a b a b +⋅-=，那么a 与b 夹角的余弦值为__________．14、ABC ∆中，角,,A B C 所对边分别为c b a ,,，假设b c B A 2tan tan 1=+，那么bca 2的最小值为 .15、两条直线1212:2,:4,3,x l y l y y l l ===设函数与分别交于点A ，B ，函数127,x y l l =与分别交于点C ，D ，那么直线AB 与直线CD 的交点坐标是 。

丹徒区高级中学2018-2019学年上学期高三数学10月月考试题 班级__________ 座号_____ 姓名__________ 分数__________一、选择题（本大题共12小题，每小题5分，共60分.每小题给出的四个选项中，只有一项是符合题目要求的.）1． 若变量x y ，满足约束条件22024010x y x y x +-≥⎧⎪-+≥⎨⎪-≤⎩，则目标函数32z x y =-的最小值为（ ）A ．-5B ．-4 C.-2 D ．3 2． 设抛物线C ：y 2=2px （p ＞0）的焦点为F ，点M 在C 上，|MF|=5，若以MF 为直径的圆过点（0，2），则C 的方程为（ ）A ．y 2=4x 或y 2=8xB ．y 2=2x 或y 2=8xC ．y 2=4x 或y 2=16xD ．y 2=2x 或y 2=16x3． 已知函数，，若，则（ ）A1 B2 C3 D-14．以的焦点为顶点，顶点为焦点的椭圆方程为（ ）A． B． C． D．5． 若关于的不等式2043x ax x +>++的解集为31x -<<-或2x >，则的取值为（ ） A ． B ．12 C ．12- D ．2-6． 已知()(2)(0)xb g x ax a e a x =-->，若存在0(1,)x ∈+∞，使得00()'()0g x g x +=，则b a的取值范围是（ ）A ．(1,)-+∞B ．(1,0)- C. (2,)-+∞ D ．(2,0)-7． 若函数()()()()()1cos sin cos sin 3sin cos 412f x x x x x a x x a x =-++-+-在02π⎡⎤-⎢⎥⎣⎦，上单调递增，则实数的取值范围为（ ） A ．117⎡⎤⎢⎥⎣⎦，B ．117⎡⎤-⎢⎥⎣⎦，C.1(][1)7-∞-+∞，，D ．[1)+∞，8． 为了得到函数的图象，只需把函数y=sin3x 的图象（ ）A ．向右平移个单位长度B ．向左平移个单位长度C ．向右平移个单位长度D ．向左平移个单位长度9． 在△ABC 中，角A ，B ，C 所对的边分别是a ，b ，c ，若﹣+1=0，则角B 的度数是（ ）A ．60°B ．120°C ．150°D ．60°或120°10．如图，程序框图的运算结果为（ ）A ．6B ．24C ．20D ．12011．抛物线x=﹣4y 2的准线方程为（ ）A ．y=1B ．y=C ．x=1D ．x=12．由两个1，两个2，两个3组成的6位数的个数为（ ） A ．45B ．90C ．120D ．360二、填空题（本大题共4小题，每小题5分，共20分.把答案填写在横线上）13．已知函数f （x ）=，点O 为坐标原点，点An （n ，f （n ））（n ∈N +），向量=（0，1），θn 是向量与i 的夹角，则++…+= ．14．已知M N 、为抛物线24y x =上两个不同的点，F 为抛物线的焦点．若线段MN 的中点的纵坐标为2，||||10MF NF +=，则直线MN 的方程为_________.15．已知平面上两点M （﹣5，0）和N （5，0），若直线上存在点P 使|PM|﹣|PN|=6，则称该直线为“单曲型直线”，下列直线中：①y=x+1 ②y=2 ③y=x ④y=2x+1是“单曲型直线”的是 ．16．直线20x y t +-=与抛物线216y x =交于A ，B 两点，且与x 轴负半轴相交，若O 为坐标原点，则OAB ∆面积的最大值为 .【命题意图】本题考查抛物线的几何性质，直线与抛物线的位置关系等基础知识，意在考查分析问题以及解决问题的能力.三、解答题（本大共6小题，共70分。

广东省佛山市高明区2018届高三物理上学期周末练习试题（8） 一、选择题(本题共9小题，共46分1-4题为单项选择题，每小题4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；5-9多项选择题：每小题有多个选项符合题意，全部选对的得6分，选对但不全的得3分，错选或不选的得0分。)多选

1．如图所示，质量为m的物块从半径为R的半球形碗边向碗底滑动，滑到最低点时的速度为v，若物块滑到最低点时受到的摩擦力是f，则物块与碗的动摩擦因数为（ B ）

A．fmg B．2fmvmgR C．2fmvmgR D．2fmvR 2．用细线将小球悬挂在O点，O点的正下方有一光滑的钉子P，把小球拉到与钉子P等高的位置，摆线被钉子挡住，如图所示，让小球从静止释放后向右摆动，当小球第一次经过最低点时（线没有断），则（ B ）

A．小球的角速度不变 B．小球的线速度不变 C．小球的向心加速度增大 D．悬线的拉力变大 3.如图所示，从倾角为θ的斜面上某点先后将同一小球以不同的初速度水平抛出，小球均落在斜面上，当抛出的速度为v1时，小球到达斜面时速度方向与斜面的夹角为α1；当抛出速度为v2时，小球到达斜面时速度方向与斜面的夹角为α2，则（ C ） A．当v1＞v2时，α1＞α2

B．当v1＞v2时，α1＜α2

C．无论v1、v2关系如何，均有α1=α2

D．α1、α2 的关系与斜面的倾角θ无关

4．如图，水平路面出现了一个地坑，其竖直截面为半圆．AB为沿水平方向的直径．一辆行驶的汽车发现情况后紧急刹车安全停下，但两颗石子分别以V1、V2速度从A点沿AB方向水平弹飞出，分别落于C、D两点，C，D两点距水平路面分别为圆半径的0.6倍和1倍．则V1：V2的值为（ C ）

A． B． C． D． 5.如图所示，一飞行器围绕地球沿半径为r的圆轨道1运动．经P点时，启动推进器短时间向前喷气使其变轨，2、3是与轨道1相切于P点的可能轨道．则飞行器( D )

高一（创新班）数学周末限时练习（十）班级 姓名 学号 得分 一、填空题（本题共14题，每题5分，共70分）1. 等差数列{}n a 的前m 项的和为30，前2m 项的和为100，求它的前3m 项的和为 ．2.已知等差数列{}n a 满足244a a +=，3510a a +=，则它的前10项的和10S = .3. 已知等比数列{}n a 满足4212=+a a ，523a a =，则该数列的前5项的和为 。

4. 设0x 是函数()2xf x x =+的零点，且()0,1x k k ∈+，k Z ∈，则k= .5. 设函数()f x 是定义在R 上的偶函数，且在区间[0,)+∞上单调递增，则满足不等式1(lg)10xf f <（）的x 取值范围是________ 6. 若ααcos 2sin =，则αα22cos 2sin +的值为________7. 在ABC ∆中，若5,12,||||AB AC AB AC BC ==+=，则||BA BCBC ⋅的值为________8. 若函数()sin()(0)6f x x πωω=+>图象的两条相邻的对称轴之间的距离为2π，且该函数图象关于点0(,0)x 成中心对称，0[0,]2x π∈，则0x = .9. 设函数()y f x =在是定义在R 上的周期为3T =的奇函数，若23(1)1,(2)1a f f a ->=+，则实数a 的取值范围为 ．10. D 为ABC ∆的BC 边上一点，2DC DB =-，过D 点的直线分别交直线AB AC 、于E F 、，若,AE AB AF AC ==λμ，其中0,0λμ>>，则21+=λμ_______．11. 已知三个向量(,cos)2A m a =，(,cos )2B n b =,(,cos )2Cp c =共线，其中C B A c b a ,,,,,分别是ABC ∆的三条边及相对三个角，则ABC ∆的形状是 .12. 已知数列{}n a 中，a a =1（20≤a ＜），⎩⎨⎧≤+--=+)2(3)2(21n n n n n a a a a a ＞（*N n ∈），记n n a a a S +++= 21，若2015=n S ，则=n .13. 设n S 为数列{}n a 的前项和，*2,N n n kn S n ∈+=，其中是常数．若对于任意的m m m a a a N m 42*,,,∈成等比数列，则的值为 ．14. 由sin 36°＝cos 54°，可求得cos 2 016°的值为________． 二、解答题（本题共3题，每题10分，共30分）15. 在ABC ∆中，三个内角A ，B ，C 所对的边分别为a ，b ，c ，且满足cos cos 2cos a B +b AC c=．（1）求角C 的大小；（2）若ABC ∆的面积为，6a b +=，求边c 的长．16．已知函数()()2210g x ax ax b a =-++>的定义域为[2,3]，值域为[1,4]；设()()g x f x x=.(1)求a ，b 的值； (2)若不等式()220x x f k -⋅≥在[]1,1x ∈-上恒成立，求实数k 的取值范围；(3)若()2|21|30|21|xx f k k -+⋅-=-有三个不同的实数解，求实数k 的取值范围.17．已知数列{}n a 满足1113,*,13n n n a a a n N a +≤≤∈=. （1）若2342,,9a a x a ===，求x 的取值范围；（2）若{}n a 是公比为q 等比数列，12nn S a a a =+++，113,*,3n n n S S S n N +≤≤∈求q 的取值范围；（3）若12,,,k a a a 成等差数列，且121000k a a a +++=，求正整数k 的最大值，以及k 取最大值时相应数列12,,,k a a a 的公差.参考答案1、2102、-13、314、95510001x x ><<或6、6.5725.138512π 910、311、等边三角形 12、1343 13、=k 0或1.14．15.（1）由余弦定理知22222222cos cos 222a c b b c a c a B+b A a b c ac bc c +-+-=⋅+⋅==cos cos 1a B+b A c ∴=，1cos 2C ∴=， 又()0,C ∈π，3C π=.（2）1sin 2ABCSab C ==8ab ∴=， 又6a b +=，()22222cos 312c a b ab C a b ab ∴=+-=+-=， c ∴=.16.(1) ()()211g x a x b a =-++-，因为a >0，所以()g x 在区间[2,3]上是增函数，故()()2134g g =⎧⎪⎨=⎪⎩，解得10a b =⎧⎨=⎩. (2)由已知可得()12f x x x =+-，所以()220x x f k -⋅≥可化为12222x x x k +-≥⋅，化为2111222x x k ⎛⎫+-⋅≥ ⎪⎝⎭，令12x t =，则221k t t ≤-+，因[]1,1x ∈-，故1,22t ⎡⎤∈⎢⎥⎣⎦，记()221h t t t =-+，因为1,22t ⎡⎤∈⎢⎥⎣⎦，故()min 0h t =，所以k 的取值范围是(],0-∞.。

高一（创新班）数学周末限时练习（十二）班级 姓名 学号 得分 一、填空题（本题共14题，每题5分，共70分）1. 函数lg(9)y x =-+的定义域为 。

2. 已知函数()1,(3,)21xm f x x m n =-∈-+是奇函数，则mn的值为 。

3. 已知等差数列{}n a 的首项为4，公差为2，前n 项和为n S ． 若544k k S a +-=(k *∈N )，则k 的值为 。

4. 若1sin()123πα+=，则7cos()12πα+的值为 ． 5. 若O 是ABC ∆所在平面内一点，且满足|||2|OB OC OB OC OA -=+-，则ABC ∆的形状为___________。

6. 若等比数列{}n a 满足2420a a +=，3540a a +=，则其前n 项和n S =____________7. 在ABC ∆中，3sin 5A =，5cos 13B =-，则cosC =_________。

8. 不等式012≥+-ax x 对所有]2,1[∈x 都成立，则实数a 的取值范围 ． 9. 设等差数列{}n a 的前n 项和为n S ，若102a =，1498S =，则使n S 取最大值的所有n 的值为 ．10. 将函数sin y x =的图像上所有的点的横坐标伸长到原来的2倍（纵坐标不变），再将所得图像向左平移6π个单位长度，则所得函数图像对应的解析式为 ． 11. 已知)2,0(,πβα∈且4)tan 31)(tan 31(=++βα，则βα+=____12. 已知直线(0)2x a a π=<<与函数()sin f x x =和函数()cos g x x =的图像分别交于M ，N 两点，若15MN =，则线段MN 的中点的纵坐标为 ．13. 若数列{}n a 满足1 2a =，*11( )1n n na a n N a ++=∈-，则该数列的前 2015 项的乘积1232015...a a a a = ．14. 已知等比数列{}n a 满足11a =，102q <<，且对任意正整数k ，12()k k k a a a ++-+仍是该数列中的某一项，则公比q 的取值集合为 ．二、解答题（本题共3题，每题10分，共30分）15. 已知(sin ,1)a θ=，(1,cos )b θ=(1) 若a b ⊥且22ππθ-<<，求θ的值；(2) 若15a b ⋅=且0θπ<<，求tan cot θθ-的值； (3) 若(1,1)c =且R θ∈，求()()f a b c θ=+⋅的最大值和最小值.16. 设3x x f =)(，已知等差数列{}n a 中73=a ，12321=++a a a ，记131()n n S f a +=，令n n n S a b =，数列}1{nb 的前n 项和为n T .（1）求{}n a 的通项公式；（2）求证：31<n T .17. 已知函数()log (1)log (3)a a f x x x =-++，其中01a <<，记函数()f x 的定义域为D .（1）求函数()f x 的定义域D ；（2）若函数()f x 的最小值为4-，求a 的值；（3）若对于D 内的任意实数x ，不等式22221x mx m m -+-+<恒成立，求实数m 的取值范围.1.(4,9)2.23.74.13- 5.直角三角形 6.122n +-7.5665 8.]2,(-∞ 9. 10，1110.1} 11.312.710 13.3π 14.1sin()212y x π=+15. 解：（1）4πθ=-； （2）712-；（3）())24f πθθ=++2，最小值为216. 解：（1）设公差为d ，依题意得112725a d a d +=⎧⎨+=⎩，解得113a d =⎧⎨=⎩， ∴ 32n a n =-.（2）由已知得1(32)(31)n n n n n b a S a a n n +===-+，所以1111()33231n b n n =--+， 所以12111111111(1)34473231n n T b b b n n =+++=-+-++--+1(3n =+．17、解：（1）要使函数有意义：则有1030x x ->⎧⎨+>⎩，解得13<<-x∴ 函数的定义域D 为)1,3(-（2）22()log (1)(3)log (23)log (1)4a a a f x x x x x x ⎡⎤=-+=--+=-++⎣⎦13<<-x 201)44x ++≤∴<-(10<<a ，2log (1)4log 4a a x ⎡⎤-++≥⎣⎦∴，即min ()log 4a f x =，由log 44a =-，得44a-=，1442a -==∴． （3）由题知－x 2+2mx －m 2+2m ＜1在x ∈)1,3(-上恒成立，2x ⇔－2mx +m 2－2m +1＞0在x ∈)1,3(-上恒成立，令g (x )=x 2－2mx+m 2－2m+1，x ∈)1,3(-， 配方得g (x )=(x －m )2－2m +1，其对称轴为x =m ，①当m ≤－3时， g (x )在)1,3(-为增函数，∴g (－3)= (－3－m )2－2m +1= m 2+4m +10≥0，而m 2+4m +10≥0对任意实数m 恒成立，∴m ≤－3．②当－3＜m ＜1时，函数g (x )在（－3,－1）为减函数，在（－1, 1）为增函数，∴g (m )=－2m +1＞0，解得m ＜.21 ∴－3＜m ＜21 ③当m ≥1时，函数g (x )在)1,3(-为减函数，∴g (1)= (1－m )2－2m +1= m 2－4m +2≥0，解得m ≥2m ≤2 ∴m ≥2+综上可得，实数m 的取值范围是 (－∞，21)∪[2。

高一（创新班）数学周末限时练习（十六）班级 姓名 学号 得分 一、填空（本题共14题，每题5分，共70分）1、在等差数列{}n a 中，已知310a =，928a =，则12a = ．2、在等比数列{}n a 中，1233a a a ++=-，1238a a a =，则4a = ．3、设n S 是等差数列{}n a 的前n 项和，且4141a a +=，则17S = ．4、设n S 是等比数列{}n a 的前n 项和，3S ，9S ，6S 成等差数列，且252m a a a +=， 则m = ．5、若数列{}n c 满足⎩⎨⎧+-=.9414为偶数时，当为奇数时；，当n n n n c n 则数列{}n c 的前19项的和19T = .6、等比数列{}n a 的各项均为实数，其前n 项的和为S n ，已知374S =，6634S =，则8a = ． 7、设等差数列{}n a 的前n 项和为n S ，S19＞0，S20＜0，且nn nS b a =（n ∈N*），则在数列{}n b 的前19项中，最大的是第 项．8、若等差数列{}n a 和等比数列{}n b 满足a 1=b 1= –1，a 4=b 4=8，则22a b = ． 9、数列{a n }是由实数构成的等比数列，S n ＝a 1＋a 2＋…＋a n ，则关于数列{S n }给出下列说法：① 任一项均不为0； ② 至少有一项不为0； ③ 至多有有限项为0；④ 或无一项为0，或有无穷多项为0． 其中正确的说法是________．(填序号)10、已知数列{}n a 的前n 项和(1)n n S n =-⋅，若对任意正整数n ，1()()0n n a p a p ＜+--恒成立， 则实数p 的取值范围是 .11、已知等差数列{a n }的公差d *∈N ，且a 1＝16，若数列{a n }中任意两项之和仍是该数列中的一项，则d 的所有可能取值的和为 ．12、已知函数6(3)3,7(),7x a x x f x a x ，，---⎧=⎨>⎩≤数列{a n }满足a n ＝f (n )，*n N ∈，且数列{a n }是递增数列，则实数a 的取值范围是________．13、设等比数列{}n a 的公比为q ，其前n 项的积为T n ，首项a 1＞1，a 2017a 2018－1＞0，20172018101a a -<-，则使T n ＞1成立的最大自然数n= ________．14、已知{}n a 是公差为d 的等差数列，它的前n 项和为n S ，4224S S =+，1nn na b a +=． 若对任意的*n ∈N ，都有8n b b ≤成立，则1a 的取值范围是________． 二、解答题（本题共2题，每题15分，共30分）15、设{an}是公差不为零的等差数列，Sn 为其前n 项和，满足22222345a a a a +=+，S 7 = 7（1）求数列{an}的通项公式及前n 项和Sn ；（2）试求所有的正整数m ，使得13m m m a a a ++为数列{an}中的项．16、已知正项数列{}n a 的前n 项和为n S ，且11(1)(1)6()n n n a a a a S n ，+=++=+，*∈N n ． （1）求数列{}n a 的通项公式；（2）若对于n *∀∈N ，都有(31)n S n n +≤成立，求实数a 取值范围．1. 372. 4a = 8或12．3.17172S =4. 解析 ： 由3S ，9S ，6S 成等差数列，得9362S S S =+，当q =1时，显然不成立，当q ≠ 1时，936111(1)(1)(1)2111a q a q a q q q q---=+---， 即9362q q q =+，312q =-，因为252m a a a +=，23311()2m q -+=-，所以，2311()24m --=，m = 8．5. 解析 2121222n n n n c c c c ，+-+-=8-=8 , 19(375)(1781)91083122T ++⨯=⨯+= 6.7812324a =⨯=7. 解析： 由S 19=19a 10＞0，S 20=10(a 10+a 11)＜0，得a 10＞0，a 11＜0，所以，等差数列{}n a 为递减数列，S 1，S 2，⋯，S 19＞0，S 20，S 21，⋯，S n ＜0．则11110S a <，12120Sa <，⋯，19190S a <，又1010S S >>，1100a a >>，则1011010S S a a >>， 故101010S b a =最大． 8. 19. 解析 因为等比数列{a n }的各项都不能为0，所以S 1＝a 1≠0，②正确；又因为等比数列{a n }的公比不为0，所以，当公比大于0时，各项均不为0，考查数列2，－2，2，－2，…，易见S 1＝2，S 2＝0，S 3＝2，S 4＝0，…，这表明如果一项为0，那么就会有无限多项为0；所以④正确，①③不正确，所以，正确的说法是②④．10. 解析 当1n =时，111a S ==-，当2n ≥时，()()1121nn n n a S S n -=-=--，当1n =时，也符合，故()()121nn a n =-⋅-.当n 为奇数时，10n n a a +<<.由不等式1()()0n n a p a p ＜+--可得：11221n n n a p a n +-=<<=+对于任意的n 为奇数恒成立，故13p -<<；当n 为偶数时，10n n a a +>>.由不等式1()()0n n a p a p ＜+--可得：12121n n n a p a n +--=<<=-，对于任意的n 为偶数恒成立，故53p -<<，综上：(13)p ，∈-.11. 解析： a n =16+(n -1)d ，设a m +a n = 16+(m -1)d +16+(n -1)d = 32+(m +n -2)d = a k = 16+(k -1)d ，m ，n ，k ∈N *， 所以，161d k m n=+--，又因为m ，n ，k ，d ∈N *，1k m n +--是16的因数，所以，d 的所有可能取值的和为1+2+4+8+16 = 31．12. 解析 由题意7831a a a a<⎧⎪>⎨⎪<⎩可得23a <<．13. 解析 由a 1＞1，a 2017a 2018－1＞0，20172018101a a -<-，得0＜q ＜1，a 2017＞1，a 2018＜1，且a 2017a 2018＞1，当n = 4033时，40331240332017()1n T a a a a ==>，当n = 4034时，201712403420172018()1n T a a a a a ==<，所以，使T n ＞1成立的最大自然数n =4033．14. 解析 111=1+1n n n a b a n a +=+-．又函数11()1+1f x x a =+-在1(,1)a -∞-和1(1,)a -+∞上分别是单调减函数，且在1(,1)a -∞-上1y <，在1(1,)a -+∞上1y >，由题意有1718a <-<，从而176a -<<-．15.解析 （1）设公差为d ，则22222543a a a a -=-，得25433()()d a a d a a -+=+，因为d ≠ 0，所以430a a +=，又由S 7 = 7得a 4 = 1，解得a 1 = -5，d = 2，所以27n a n =-，266n S n n =-．（2）13(27)(25)21m m m a a m m a m ++--=-， 令21m t -=，则13(6)(4)2410m m m a a t t t a t t++--==+-， 因为t 是奇数，所以t 可取的值为1±， 当t = 1，m = 1时，1315m m m a a a ++=，是数列{}n a 中的项；当t = -1时，m = 0（舍）， 所以，满足条件的正整数m = 1．16.解 （1）当1n =时，121(1)(1)6(1)a a S ++=+，故25a =； 当2n ≥时， 11(1)(1)6(1)n n n a a S n --++=+-，所以+111(1)(+1(1)(1)6()6(1)n n n n n n a a a a S n S n ）--+-++=+-+-， 即11(1)()6(1)n n n n a a a a +-+-=+，又0n a >，所以116n n a a +--=， 所以216(1)66k a a k k a -=+-=+-，25+6(1)61k a k k =-=-，*k N Î，故**33, ,,31, ,.n n a n n a n n n N N 为奇数为偶数ìï+-?ï=íï-?ïî（2）当n 为奇数时，1(32)(33)6n S n a n n =+-+-， 由(31)n S n n ≤+得，23321n n a n ≤+++恒成立，令2332()1n n f n n ++=+，则2394(1)()0(2)(1)n n f n f n n n +++-=>++，所以(1)4a f ≤=． 当n 为偶数时，13(3+1)6n S n n a n =?-，由(31)n S n n ≤+得，3(1)a n ≤+恒成立，所以9a ≤． 又10a a =>，所以实数a 的取值范围是(04]，．。

江苏省仪征中学2016届高三英语周末练习〔二〕一、单项填空(共15小题；每一小题1分，总分为15分)1. The CCTV show Chinese Characters Dictation Competition has taken the country by storm, whichis partly designed to arouse people’s _______ in the Chinese language.A. responseB. enthusiasmC. significanceD. consequence2. Microsoft ended support for Windows XP after April 8, which _______a major operating systemfor some Chinese computer users, and advised users to upgrade to Windows 8.A. remainedB. remainsC. is remainingD. is remained3. The deal, _______ next week, will allow Charney to make a great fortune in the stock market.A. completedB. being completedC. to be completedD. having been completed4. To ensure that children from poor areas can receive fair education, the government has plannedto _______ more money to improve the miserable conditions of local schools.A. announceB. allocateC. advocateD. accumulate5. —Tom, your foreign teacher speaks Chinese fluently!— Oh, she has lived in China for six years, otherwise she _______ such good Chinese.A. didn’t speakB. would not have spokenC. would not speakD. hadn’t spoken6. In all his life, Dickens wrote a large number of excellent novels in the 19th century, _____some are still popular nowadays.A. whoseB. of thatC. in whichD. of which7. —I’m sorry to tell you that you made a mistake in your test.— How can that be? I did it _______ in class.A. as toldB. as am toldC. as tellingD. as I told8. —You’ve been in college for half a year. Are you familiar with your president?—Yes. He is an outstanding leader who _____ his reputation.A. looks out forB. comes up withC. lives up toD. looks forward to9. There are many famous cultural relics in our country, many _______ thousands of years ago.A. dating back toB. date back toC. dated back toD. were dated back to10. —Tony, it seems that you have been very busy all the time, what do you think of your occupationnow?—Just so-so. I’ve decided to quit my job in the company next month, where I ____ for five years.A. workB. is workingC. will be workingD. will have worked11. A proposal has been put forward at a recent video conference _______ measures be taken toraise the citizens’ awareness of traffic safety.A. thatB. asC. whenD. which12. —I’m afraid you missed a fantastic lecture yesterday. How come you were absent from it?—If you _______ know, I asked for a day off and visited a relative of mine in hospital.A. mightB. mayC. shallD. must13. _______ an important decision more on emotion than on reason, you will regret it sooner orlater. A. Based B. Basing C. Base D. To base14. Most of them choose to keep their present jobs, which might not be well paid, but are stable______.A. eventually B. regardless C. instead D. therefore15. It isn’t just big data specialists like data scientists and statisticians_______ to benefitfrom this boom of big data opportunities.A. who stands B. that stand C. which standsD. when stand二、完形填空(共20小题；每一小题1分，总分为20分)Historically, the term “fair trade〞 has meant many things. The Fair Trade League was 16in Britain in 1881 to restrict 17from foreign countries. In the United States, businesses and labor unions 18 “fair trade〞 laws to construct what economist Joseph Stiglitz calls “barriers to imports.〞 These so called “anti-dumping(反倾销)〞 laws allow a company that 19 a foreign oneof selling a product below cost to request that the government charge special taxes to protectit from “unfair〞 20 .Such dark protectionist thoughts are far from the 21of the organizers of the United Kingdom’s annual “Fairtrade Fortnight〞. Their 22 aim is to raise the price paid to developing-country farmers for their 23by cutting out the inflated profits of the middlemen on whom they 24 for getting their goods to distant markets. Fair-trade products 25cocoa, coffee, tea, and bananasdo not compete with domestic European production, and 26 do not have a protectionist motive(动机).This is how it works: In 27for being paid a guaranteed price and meeting “agreed labor and environmental standards〞(minimum wages, no farm chemicals), poor-country farming cooperatives(合作社)receive a FAIRTRADE mark for their products, given 28 by the FAIRTRADE Labeling Organization. This mark 29supermarkets and other businesses to sell the products at a higher than 30 price . Third-world farmers get their income increased, 31first-world consumersget to feel virtuous: a marriage made in heaven.The fair-trade movement, 32in the 1980’s, has been growing rapidly. In a significant breakthrough in 1997, the British House of Commons 33 to serve only fair-trade coffee. By theend of 2007, more than 600 p roducers’ organizations, 34 1.4 million farmers in 58 countries, were selling fair-trade products. Today, a quarter of all bananas in UK supermarkets are sold under a FAIRTRADE mark. But FAIRTRADE-labeled products still represent a very 35 share—typically less than 1%—of global sales of cocoa, tea, coffee, etc.16. A. discovered B. founded C. encouraged D. promoted17. A. imports B. exports C. output D. trade18. A. disobey B. break C. use D. study19. A. suspects B. needs C. wants D. advertises20. A. agreement B. contract C. game D. competition21. A. worries B. minds C. comments D. projects22. A. educational B. political C. worthy D. immediate23. A. favour B. benefit C. interest D. produce24. A. depend B. spend C. look D. apply25. A. as B. like C. with D. for26. A. instead B. otherwise C. therefore D. anyhow27. A. fear B. store C. preparation D. exchange28. A. secretly B. publicly C. officially D. successfully29. A. urges B. enables C. orders D. forces30. A. normal B. potential C. lowest D. best31. A. when B. while C. as D. but32. A. launched B. arranged C. invented D. developed33. A. wanted B. refused C. had D. decided34. A. telling B. representing C. Choosing D. receiving35. A. small B. little C. good D. large三、阅读理解 (共15小题; 每一小题2分, 总分为30分)AThe slavery drama “12 Years a Slave〞 won the Academy Award for best picture on Sunday, making history as the first movie from a black director to win the film industry’s highest honor in 86 years of the Oscars. British director Steve McQueen’s brave po rtrayal of pre-Civil War American slavery won two other Oscars, including best supporting actress for newcomer Lupita Nyong’o and best adapted screenplay based on the memoir of Solomon Northup, a free man tricked and sold into slavery in Louisiana. “Everyo ne deserves not just to survive but to live. This is the most important legacy of Solomon Northup,〞 said McQueen in his acceptance speech.“12 Years a Slave〞was better over space thriller “Gravity〞 from Mexican filmmaker Alfonso Cuaron, which nevertheless got the most Oscars of the night with seven, including the best director honor for Cuaron, a first for a Latin American director. The film starring Sandra Bullock as an astronaut lost in space swept the technical awards like visual effects and cinematography, a reward for its groundbreaking work on conveying space and weightlessness. Referring to the “transformative〞 experience he and others undertook in the four-plus years spent making “Gravity〞, Cuaron, whose hair is graying, said, “For a lot of these pe ople, that transformation was wisdom. For me, it was just the color of my hair.〞In one of the strongest years for film in recent memory, the 6,000-plus voters of the Academy of Motion Picture Arts and Sciences scattered golden Oscar statuettes among the many acclaimed movies in contention.It was a good night for the scrappy, low-budget film “Dallas Buyers Club〞, directed by Jean-Marc Vallee, a biopic of an early AIDS activist two decades in the making that won three Oscars, including the two male acting awards.Matthew McConaughey, in a validation of a remarkable career turnaround, won best actor for his portrayal of the homophobe who turned AIDS victim and then turned treatment crusader Ron Woodroof, a role for which he lost 50 pounds (23 kg). His co-star, Jared Leto, won best supporting actor for his role as Woodroof’s unlikely business partner, the transgender woman Rayon, for which he also slimmed down drastically.Australia’s Cate Blanchett won the best actress Oscar for her acclaimed role as the s ocialite unhinged by her husband’s financial crimes in Woody Allen’s “Blue Jasmine.〞“As random and subjective as this award is, it means a great deal in a year of, yet again, extraordinary performances by women,〞 said Blanchett, who beat out previous Oscar winners Bullock, Amy Adams, Judi Dench and Meryl Streep.36. How many Oscar best actresses are mentioned in this passage?A. One.B. Three.C. Five.D. Six.37. Which of the following statements is WRONG?A. “12 Years a Slave〞 won two Oscar awards altogether.B. The director of “Gravity〞 is from Latin America.C. The character Rayon is played by Jared Leto.D. The woman film star Cate Blanchett comes from Oceania.BThe following are the sculptures in the UnderwaterMuseum, which are accessible inperson by glass boat, or scuba diving.The Archive of Lost DreamsThe Visual: It describes an underwater archive of messages inbottles.The Meaning: The bottles contain messages of dreams for futuregenerations.The Hope:The statue is placed with the purpose of helping drawvisitors away from the healthy parts of the reef.The Location:The Archive of Lost Dreams was placed 8 meters deep at Manchones Reef, close to Isla Mujeres.Behind the Scenes:The collection of bottled messages were provided by va rious communities who wrote about today’s values and their dreams for the future generations.The Gardener of HopeThe Visual:Here a young Mexican girl lies in a garden surrounded by pots which will be grown with live coral.The Meaning: The young girl in the sculpture represents a model for hopeful future generations.The Hope:The base of the Gardener of Hope was built to attract various marine creatures. The coral in the pots is also expected to grow.The Location:The Gardener of Hope was placed 4 meters deep at Punta Nizuc near the coast of Cancun.Behind the Scenes:The pots here are filled with live coral cuttings that were saved from areas of the local reef system. Man on FireThe Visual:Man on Fire describes a lone male figure covered in live fire coral to resemble fire.The Meaning:The sculpture symbolizes the unawareness of the “fire〞 our generation has started with the over use of limited natural resources.The Hope:Man on Fire has 75 holes planted with small live cuttings of fire coral which are expected to grow like fire. The Location:Man on Fire was installed 8 meters deep at the Manchones Reef nearby to Isla Mujeres.Behind the Scenes:The sculpture was cast from a local Mexicanfisherman and it weighs over 1 ton.The Silent EvolutionThe Visual:Here more than 400 sculptures depict the timeline ofhuman nature.The Meaning:It is a documentation of how society and people havechanged over time. It is also to remind us of how we are connectedto nature.The Hope:The installation is designed for forming a complex reefstructure that marine life will claim as its own and inhabit.The Location:The Silent Evolution will be installed 8 metersdeep behind the Manchones Reef.Behind the Scenes:The total installation will expand over 150square meters and will weigh over 120 tons.Attention:Guided tours are a must. You can catch a tour from Aquaworld, which leavesevery hour from 9 a.m. to 3 p.m. daily.38. Which of the following is true according to the passage?A. You can tour individually without a tourist guide by glass boat.B. The Gardener of Hope will remind us of the relationship with nature.C. Bottled messages are filled with live coral cuttings for future generations.D. Man on Fire can educate us toprotect the limited natural resources.39. Which sculptures are installed in the same area?A. Man on Fire & The Silent EvolutionB. The Archive of Lost Dreams & Man on FireC. The Gardener of Hope & The Silent EvolutionD. The Archive of Lost Dreams & The Gardener of Hope40. The writer introduces the sculptures to _______.A. defend Mexican Tourism IndustryB. call on us to go on a tour to AquaworldC. appeal to readers to protect Marine LifeD. attract tourists to the UnderwaterMuseumCDNA left at a crime scene could be used i n the future to build up a picture of an offender’s face, it was revealed tonight.A first step towards genetic mugshots has been taken by researchers in the US who link specific DNA markers with face shape. To identify the genes, they focused on known mutations(突变) that cause changes of the face and head. Normal versions of these genes were found to influence individual features. For instance, one gene affected the lips, another the shape and configuration of bones around the eyes, and a third the appearance of the mid-face and skull. In total, 20 genes had “significant effects〞 on facial appearance.Lead scientist Professor Mark Shriver, from PennsylvaniaStateUniversity, said: “We use DNA to match to an individual or identify an individual, but you can get so much more from DNA. Currently we can’t go from DNA to a face, or from a face to DNA, but it should be possible.〞 The implications are far reaching, raising the possibility of creating a data bank of facial types based on genetic markers. DNA from a crime scene could then be used to produce a rough image of the face of an offender or victim. Such genetic mugshots may be more reliable than computer-generated “e-fits〞based on witnesses’ recollections. Other uses of the technique might include proving the identity of fathers in paternity cases, or visualising our remote ancestors from fossil DNA.The scientists wrote in the online journal Public Library of Science Genetics: “Such predictive modelling could be forensically useful; for example, DNA left at crime scenes could be tested and faces predicted in order to help to narrow the pool of potential suspects. Further, our methods could be used to predict the facial features of descendants, deceased ancestors, and even extinct human species. In addition, these methods could prove to be useful diagnostic tools.〞The team developed a model which first established a range of physical face shapes from people of mixed West African and European ancestry from the US, Brazil and Cape Verde. Measurements were taken of thousands of point co-ordinates on grids placed over 3D images of the faces.Statistical methods were then used to determine the relationship between facial differences and the effects of gender, ethnic ancestry and individual gene variants.41. The under lined word “mugshots〞 in the second paragraph most probably means _________.A. different facesB. characteristicsC. pictures of facesD. genders42. What can be inferred from the passage?A. DNA has been used to build up a picture of an offender’s face.B. It may be much easier to catch criminals with the help of DNA.C. In all, 20 genes had “significant effects〞 on facial appearance.D. One gene can affect more than one part of your face.43. According to Professor Mark Shriver, we know_________.A. they can merely match to an individual or identify an individualB. there is a possibility of going from DNA to a faceC. DNA could be used to produce a rough image of an offender’s faceD. this technology is more reliable than computer-generated “e-fits〞44. What is the most possible title of the passage?A. Creating a data bank of DNAB. Recognizing the DNA of criminalsC. Predicting the location of offence using DNAD. Building image of offender’s face from DNADAt Denver there was an crowd of passengers into the coaches〔车厢〕 on the eastbound B. & M. express. In one coach there sat a very pretty young woman dressed in elegant taste and surrounded by all the luxurious forts of an experienced traveler. Among the newers were two young men, one of handsome presence with a bold, frank face expression and manner; the other a ruffled, glum-faced person, heavily built and roughly dressed. The two were handcuffed〔拷上手铐〕 together.As they passed down the aisle of the coach the only available seat offered was a reversed one facing the attractive young woman. Here the linked couple seated themselves. The young woman's glance fell upon them with a distant, swift disinterest; then with a lovely smile brightening her face and a tender pink tingeing〔稍加染色，影响〕 her rounded cheeks, she held out a little gray-gloved hand. When she spoke her voice, full, sweet, and deliberate, proclaimed that its owner was accustomed to speak and be heard."Well, Mr. Easton, if you will make me speak first, I suppose I must. Don't you ever recognize old friends when you meet them in the West?"The younger man aroused himself sharply at the sound of her voice, seemed to struggle with a slight embarrassment which he threw off instantly, and then clasped her fingers with his left hand."It's Miss Fairchild," he said, with a smile. "I'll ask you to excuse the other hand; "it's otherwise engaged just at present."He slightly raised his right hand, bound at the wrist by the shining "bracelet" to the left one of his companion. The glad look in the girl's eyes slowly changed to a bewildered horror. The glow faded from her cheeks. Her lips parted in a vague〔模糊，犹豫〕, relaxing distress. Easton, with a little laugh, as if amused, was about to speak again when the other forestalled him. The glum-faced man had been watching the girl's face expression with veiled glances from his keen, shrewd eyes."You'll excuse me for speaking, miss, but, I see you're acquainted with〔认识，熟悉〕 the officer here. If you'll ask him to speak a word for me when we get to the pen〔围栏，监狱〕 he'll do it, and it'll make things easier for me there. He's taking me to Leavenworth prison. It's seven years for cheating.""Oh!" said the girl, with a deep breath and returning color. "So that is what you are doing out here? An officer!""My dear Miss Fairchild," said Easton, calmly, "I had to do something. Money has a way of taking wings with itself, and you know it takes money to keep step with our crowd in Washington.I saw this opening〔通道〕 in the West,and--well, an officer isn't quite as high a position as that of ambassador, but--""The ambassador," said the girl, warmly, "doesn't call any more. I needn't ever have done so. You ought to know that. And so now you are one of these brave Western heroes, and you ride and shoot and go into all kinds of dangers. That's different from the Washington life. You have been missed from the old crowd."The girl's eyes, fascinated, went back, widening a little, to rest upon the glittering handcuffs."Don't you worry about them, miss," said the other man. "All officers handcuff themselves to their prisoners to keep them from getting away. Mr. Easton knows his business.""Will we see you again soon in Washington?" asked the girl."Not soon, I think," said Easton. "My butterfly days are over, I fear.""I love the West," said the girl irrelevantly. Her eyes were shining softly. She looked away out the car window. She began to speak truly and simply without the gloss of style and manner: "Mamma and I spent the summer in Denver. She went home a week ago because father was slightly ill. I could live and be happy in the West. I think the air here agrees with me. Money isn't everything. But people always misunderstand things and remain stupid--""Say, officer," shouted the glum-faced man. "This isn't quite fair. I'm needing a drink, and haven't had a smoke all day. Haven't you talked long enough? Take me in the smoker now, won't you? I'm half dead for a pipe."The bound travelers rose to their feet, Easton with the same slow smile on his face."I can't deny a require for tobacco," he said, lightly. "It's the one friend of the unfortunate. Good-bye, Miss Fairchild. Duty calls, you know." He held out his hand for a farewell."It's too bad you are not going East," she said, reclothing herself with manner and style. "But you must go on to Leavenworth, I suppose?""Yes," said Easton, "I must go on to Leavenworth."The two men sidled down the aisle into the smoker.The two passengers in a seat near by had heard most of the conversation. Said one of them: "That officer is a good sort of man. Some of these Western fellows are all right.""Pretty young to hold an office like that, isn't he?" asked the other."Young!" exclaimed the first speaker, "why--Oh! Didn't you catch on? Say--did you ever know an officer to handcuff a prisoner to his right hand?"45. From the first three paragraphs, we know that_________A. the two young were seated opposite to the young woman by accident.B. it was not difficult for the woman to find the men were handcuffedC. the young woman found she knew one of the men at the first sight of them.D. the young woman may not be good at communicating46. What would be the possible sentence following the underlined “and –-“A. and it is not easy to make such a fortuneB. and I do the cheating things to collect moneyC. and I tried my best to be a good officerD. and the West is bond to be wealthy47. When Easton uttered the underlined sentence "My butterfly days are over, I fear", his realmeaning was that__________A. he would have to focus on his workB. he would be put in prisonC. his chance of being with butterfly is smallD. his workload as an officer was heavy48. Why did the glum-faced man urge Easton to the smoker?A. Because he needed a drink and tobacco badly.B. Because he was angry that Miss Fairchild did not say any good words for himC. Because he was bored and tired with Miss Fairchild and Easton’s talk.D. Because he was afraid Miss Fairchild would find the truth.49. Which of the following can NOT be inferred from the passage?A. Miss Fairchild was an ambassadorB. Easton was an officer with his prisonerC. the glum-faced was considerate and carefulD. Easton had been trying to make a big fortune in the West50. What was the best title of the passage?A. Miss Fairchild’s TripB. Hearts and HandsC. The Story of a HandcuffD. The Meeting of Two Friends四、任务型阅读(共10小题, 每一小题1分, 总分为10分)Do you know your uneasy adolescent might be experiencing teen depression? Of course. Teen depression isn’t just bad mood s and occasional sadness—it’s a serious problem that affects every aspect of a teenager’s normal life. The negative effects can lead to problems, such as smoking, violence and even suicide. But depression can be treated. So if your teen’s unhappiness lasts for more than two weeks and he or she displays other symptoms of depression, it may be time to seek help from a health doctor.There are multiple reasons why a teenager might become unhappy. For example, teens can develop feelings of worthlessness over their school performance. And unsatisfied family life can have a major effect on how a teen feels. Sometimes, teen depression may result from environmental stress. But whatever the cause, when friends or family—or things that the teen usually enjoy—don’t hel p to improve his or her sadness or sense of isolation, there’s a good chance that he or she has teen depression.There are certain signs when teenagers are suffering from teen depression. Often, kids with teen depression will have a noticeable change in their thinking and behavior. Kids with teen depression may have a change in eating habits. Teenagers are likely to eat too much or not to eat enough for long periods of time, which should not be mistaken for an eating disorder. Parents should distinguish this change from eating disorders.Changing in sleeping habits is another indication of adolescent depression. All teenagers love to sleep. However, a sudden change in sleep behavior for no good reason is what parents should be paying attention to. A reduction of favorite activities, such as sports or chatting with friends, is another sign that cannot be neglected. If a teenager loves a sport and during the middle of the season suddenly decides to stop, there is a reason to be concerned about this change.When teenagers suffer from depression, they easily get annoyed or react badly to negative things. They may become defiant as there is potential depression. The depressed teenagers may get into rude or offensive remarks as well as fighting.Making statements of despair is another sign. They have no hope for their studies, their life and their future. This is very serious since it is estimated that every year approximately 10 teenagers from every 100,000 commit suicide.How is it treated? Here are methods, including medications and psychotherapy. Family therapy may be helpful if family conflict is contributing to the depression. The depressed teens will also need support from teachers. Occasionally, hospitalization may be required for teenagers with江苏省仪征中学2016届高三英语周末练习〔二〕答题纸班级__________ 姓名____________ 学号___________ 得分_________四、任务型阅读1____________ 2______________ 3______________ 4_______________ 5_______________6____________ 7______________ 8______________ 9______________ 10 _______________五、完成句子 (每题2.5分，共25分)1. According to a recently released report，the time of reading spent by young people in America have dropped over the past 30 years, ____________________________________________________.(这被认为是最严重的社会问题)2. __________________________________________(毫无疑问) that people read fewer books nowadays.3. ____________________people read fewer books nowadays ____________________________(人们读书越来越少的原因如下)4._______________________(一方面), the Internet is taking up most people’s spare time.5. ____________________________(另一方面), people are becoming much busier than before, _____________________________________________(这使得他们抽不出时间去阅读)6. However, ______________________________should we give up reading〔绝对不能放弃阅读〕,_______________________________(这在多方面有利于我们)7. First of all, _____________________________________can change our way of living.(我们从课本中获得的知识可以改变我们的生活方式)8. Secondly, reading can ___________________________.(开拓我们的视野) Without books, our soul would be like a desert.9. Thirdly, reading offers us one of the best pastimes and few pleasures _________________________with that of reading.(与阅读的乐趣相比的)10. ______________________________(我们从文中得到的结论是) is that reading is rewarding.参考答案：一、单项选择 BBCBC DACAD ADBBB完形 BACAD BCDAB CDCBA BADBA二、阅读 (A)CA (B) DBD (C) CBBD (D) ABBDBB三、任务型阅读1. normal2. consult/see3. Causes/Reasons4. tend5. difference6. without7. negative8. remarks/comments9. hopeless10. requirement/ necessity/must四、完成句子1. which is considered to be a serious social problem2. There’s no denying the fact3.The reasons why are as follows4. For one thing5. For another thing, which makes them unable to afford to read / spare much time to read.6. in / under no circumstances ; in no case7. what we acquire from books / the knowledge that we gain from books8. enrich our mind/ broaden our horizons9. can compare with10. What we can conclude from the passage。