[理数]炎德英才大联考2012长沙一中高三6次月考

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[文数答案]炎德英才大联考2012长沙一中高三3次月考

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湖南省大联考2012长沙一中高三6次月考英语试卷答案

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湖南省长沙一中2012届高三月考试卷(四)物理试题word版

长沙一中2012届高三月考试卷（四）物理试题本试题卷分选择题和非选择题两部分，时量90分钟，满分110分。

第I卷选择题（共56分）一、选择题（本题共14小题，每小题4分，共56分。

每小题给出的四个选项中，有的只有一个选项正确，有的有多个选项正确，全部选对的得4分，选对但不全的得2分，有选错的得0分）1．下列说法符合物理学史学的是（）A．牛顿发现了行星的运动规律B．开普勒发现了万有引力定律C．卡文迪许第一次在实验室里测出了万有引力常量D．法拉第发现了电流的热效应2．如图1所示，置于水平地面上相同材料的质量分别为m和M的两物体用细绳连接，在M上施加一水平恒力F，使两物体做匀加速直线运动，对两物体间细绳上的拉力大小，正确的是（）A．地面光滑时，绳上拉力等于mF/(M+m)B．地面不光滑时，绳上拉力等于mF/(M+m)C．地面不光滑时，绳上拉力大于mF/(M+m)D．地面不光滑时，绳上拉力小于mF/(M+m)3．如图2所示电路中，当滑动变阻器的滑片向上滑动时（）A．电压表示数变大，电流表示数变小B．电压表示数变小，电流表示数变大C．电压表，电流表示数都变大D．电压表，电流表示数都变小4．如图3，物块A静置在水平地面上，B静止在A的斜面上，某时刻起，对B施加一沿斜面向上的力F，力F从零开始随时间逐渐增大，在这一过程中，A、B均始终保持静止，则地面对A的（）A．支持力不变B．支持力增大C．摩擦力增大D ．摩擦力减小5．如图4所示，一根截面积为S 的均匀长直橡胶棒上均匀带有负电荷，单位长度电荷量为q ，当此棒沿轴线方向做速度为v 的匀速直线运动时，由于棒运动而形成的等效电流大小为（）A ．vqB ．q vC ．qvSD ．qv S6．如图5所示，一个由电池E 、电阻R 与平行板电容器C 组成的串联电路，在增大电容器两极板间距离的过程中（）A ．电阻R 中没有电流B ．电容器的电容变大C ．电阻R 中有从a 流向b 的电流D ．电阻R 中有从b 流向a 的电流7．如图6所示的U —I 图像中，直线I 为某电源的路端电压U 与电流I 的关系，直线II 为某一电阻R 的伏安特性曲线，用该电源直接与电阻R连接成闭合电路，由图像可知（）A ．R 的阻为1.5ΩB ．电源电动势为3V ，内阻为0.5ΩC ．电源的输出功率为3.0WD ．电源内部消耗功率为1.5W8．如图7所示的电路中，灯泡A 和灯泡B 原来都是正常发光的，现在突然A 比原来变暗了些，灯泡B 比原来变亮了些，则电路中出现的故障可能是（）A ．R 1断路B ．R 1短路C ．R 2断路D ．R 1、R 2同时短路9．2000年8月17日，在德国柏林进行的2009世界田径锦标赛女子撑杆跳高决定中，罗格夫斯卡以 4.75米的成绩夺冠，若不计空气阻力，则罗格夫斯卡在这次撑杆跳高中（）A ．起跳时杆对她的平均弹力大于她的重力B ．起跳时杆对她的平均弹力小于她的重力C ．起跳以后的下落过程中她处于超重状态D ．起跳以后的下落过程中她处于失重状态10．2010年3月5日，我国在酒泉卫星发射中心成功地将“遥感卫星九号”送入太空，若“遥感卫星九号”运行轨道比“遥感卫星八号”离地球更近些，且它们都围绕地球做匀速圆周运动，则“遥感九号”比“遥感八号”运行的（）A ．周期小B ．线速度小C ．角速度小D ．加速度小11．图8中竖直方向的平行线表示匀强电场的电场线，但未标明方向，电场中有一个带电粒子，仅受电场力的作用，从A 点运动到B 点，E kA ，E kB 表示该带电粒子在A ，B 两点的动能，,A B ϕϕ表示A 、B 两点的电势，以下判断正确的是（）A ．若AB ϕϕ<，则该电荷一定是负电荷B ．若E kA >E kB ，则A ϕ一定大于B ϕC ．若E kA >E kB ，则该电荷的运动轨迹不可能是虚线aD ．若该电荷的运动轨迹是虚线b 且粒子带正电荷，则A ϕ一定大于B ϕ12．静止在地面上的一小物体，在竖直向上的拉力作用下开始运动，在向上运动的过程中，物体机械能E 与位移s 的关系图象如图9所示，其中0~s 1过程中的图线是曲线，s 1~s 2过程中的图线为平行于横轴的直线，关于物体上升过程（不计空气阻力）的下列说法正确的是（）A ．0~s 1过程中物体所受的拉力是变力，且不断减小B ．s 1~s 2过程中物体做匀速直线运动C ．0~s 1过程中物体的动能先增大后减小D ．0~s 1过程中物体的加速度先减小再反向增大，最后保持不变且等于重力加速度13．如图10所示，一个由绝缘材料制成的轻弹簧水平放置，一端固定于竖直墙上，另一端与一带负电的小球相连，小球在光滑绝缘水平面上的B ，C 两点间周期性地来回往复运动，通过O 点时小球所受合力为零，整个装置处于水平向左的匀强电场中，假定在运动过程中小球的电荷量保持不变，则（）A ．在由B 到O 的过程中，弹簧的弹性势能和小球的电势能减少，动能增加B ．在由O 到C 的过程中，弹簧的弹性能增加，小球电势能和动能减少C ．在由B 经O 到C ，小球由势能的变化量和弹簧弹性势能的变化量大小相等D ．在由C 到O 的过程中，小球电势能的变化量和弹簧弹性势能的变化量大小相等14．如图11所示电路中，电阻R 1=8Ω，R 2=3Ω，当开关S 闭合时，电压表的示数为7V ，电流表的示数为0.5A ；当开关S 断开时，电压表的示数为3V ，电流表的示数为0.75A ，不考虑电压表和电流表内阻的影响，下列结果不正确．．．的是（）A ．电阻R 4=4ΩB ．电阻R 2=4ΩC ．电源的内电阻为1ΩD ．电源的电动势为12V第II 卷非选择题（共54分）二、实验题（每空2分，共18分）15．（1）写出如图12所示的游标尺和如图13所示螺旋测微器的读数；游标卡尺的读数mm ；螺旋测微器的读数 mm 。

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湖南省长沙市一中高三数学第六次月考(理) 新人教版【会员独享】

湖南省长沙市一中高三第六次月考理科数学一、选择题（本大题共8个小题，每小题5分，共40分，每小题的四个选项中只有一个是符合题目要求的）1．已知集合A = {x |–1≤x ≤1，x ∈N}，B = {–1，0，1}，集合C 满足A ∪C = B ，则集合C 的个数是（） A ．1B ．4C ．7D ．82.直线l:ax +y -2-a =0在x 轴和y 轴上的截距相等，则a 的值是（）A.1B.-1C.-2或-1D. -2或1 3.一个空间几何体的三视图及部分数据如图所示，则这个几何体的体积是（）A.3B.25C.2D. 234．已知等比数列中{a n }中，a 1 + a 3 = 101，前4项和为1111，令b n = lg a n ，则b 2009 = （） A ．2008B ．2009C ．2010D ．22225．10名同学合影，站成了前排3人，后排7人．现摄影师要从后排7人中抽2个站前排，其他人的相对顺序不变，则不同调整方法的种数为（） A ．2575C AB ．2272C AC ．2275C AD ．2375C A6.直三棱柱A 1B 1C 1—ABC 中，∠BCA =90°，D 1、F 1分别是A 1B 1、A 1C 1的中点，若BC =CA =CC 1，则BD 1与AF 1所成角θ的余弦值是（） A.1030 B.21 C. 1530 D. 10157．①点P 在△ABC 所在的平面内，且(),()AP AB AC BP BA BC λμ=+=+；②点P 为△ABC 内的一点，且使得222AP BP CP ++取得最小值；③点P 是△ABC 所在平面内一点，且0PA PB PC ++=，上述三个点P 中，是△ABC 的重心的有（）A ．0个B ．1个C ．2个D ．3个8．设函数y = f (x )是定义域为R 的奇函数，且满足f (x – 2) = – f (x )对一切x ∈R 恒成立，当–1≤x ≤1时，f (x ) = x 3，则下列四个命题：①f (x )是以4为周期的周期函数；②f (x )在[1，3]上的解析式为f (x ) = (2 – x )3；③f (x )在33(,())22f 处的切线方程为3x + 4y – 5 = 0；④f (x )的图象的对称轴中，有x = ±1，其中正确的命题是（） A ．①②③B ．②③④C ．①③④D ．①②③④二、填空题（本大题共7个小题，每小题5分，共35分）1．直线l 1：y = mx + 1，直线l 2的方向向量为a = (1，2)，且l 1⊥l 2，则m = ．2．正方体ABCD —A 1B 1C 1D 1的棱长为1，E 是A 1B 1的中点，则点E 到平面ABC 1D 1的距离是．3．若关于x ，y 的不等式组1212x y x y ax y -≤⎧⎪+≥⎨⎪+≤⎩表示的平面区域是一个三角形，则a 的取值范围是．4．若不等式x 2 + |2x – 6|≥a 对于一切实数x 均成立，则实数a 的最大值是． 5．在11的展开式中任取一项，设所取项为有理项的概率为10,x αα⎰则dx = ． 6．已知m 、n 是两条不重合的直线，,,αβγ是三个互不重合的平面，给出下列命题①若m ∥β，n ∥β，m ，n ⊂α，则α∥β ②若α⊥γ，β⊥γ，α∩β= m ，n ⊂γ，则m ⊥n ③若m ⊥α,α⊥β，m ∥n ，则n ∥β ④若n ∥α，n ∥β，α∩β= m ，那么m ∥n 其中正确命题的序号是．7．某计算机程序每运行一次都随机出现一个二进制的6位数N = …… ，其中N 的各位数字中，n 1 = n 6 = 1，n k (k = 2，3，4，5)出现0的概率为25，出现1的概率为35，记126.n n n ξξ=+++问= 4时的概率为，ξ的数学期望是．三、解答题（本大题共6小题，共75分，解答应写出文字说明，证明过程或演算步骤） 16．（12分）6个大小相同的小球分别标有数字1,1,1,2,2,2，把它们放在一个盒子里，从中任意摸出两个小球，它们所标有的数字分别为x ，y ，记x y ξ=+．（1）求随机变量ξ分布列及数学期望；（2）设“函数f (x )=x 2–ξx –1在区间(2, 3)上有且只有一个零点”为事件A ，求事件A 发生的概率．n 2 n 5 n 1 n 617．（12分）已知函数f (x ) = 2cos 2x +x cos x ．（1）求函数f (x )定义在[,]63ππ-上的值域；（2）在△ABC 中，若f (C ) = 2, 2sin B = cos(A – C ) – cos(A + C )，求tan A 的值．18．（13分）如图，四棱锥P —ABCD 的底面是边长为1的正方形，PA ⊥CD ，PA =1，PD =2，E 为PD 上一点，PE =2ED ．（1）求证：PA ⊥平面ABCD ；（2）求二面角D —AC —E 的正切值；（3）在侧棱PC 上是否存在一点F ，使得BF ∥平面AEC ，若存在，指出F 点位置，并证明，若不存在，说明理由．19 题(13分)已知以点C (t ,2t)（t ∈R ），t ≠0）为圆心的圆与x 轴交于点O ，A ，与y 轴交于点O ，B ，其中O 为坐标原点．（1）求证：△OAB 的面积为定值；（2）设直线y = –2x +4与圆C 交于点M ，N 若|OM |=|ON |，求圆C 的方程．（3）若t ＞0，当圆C 的半径最小且时，圆C 上至少有三个不同的点到直线l ：y(3k x =-的距离为12，求直线l 的斜率k 的取值范围．20．（13分）某旅游景区的观景台P 位于高（山顶到山脚水平面M 的垂直高度PO ）为2Km 的PEDCBA山峰上，山脚下有一段位于水平线上笔直的公路AB，山坡面可近似地看作平面PAB,且△PAB 为等腰三角形。

[理数]炎德英才大联考2012长沙一中高三5次月考

题答要不内线封密号学名姓级班校学炎德·英才大联考长沙市一中2012届高三月考试卷(五)数学(理科)长沙市一中高三理科数学备课组组稿命题人:李运群审题人:杨文新(考试范围:集合㊁逻辑㊁算法㊁函数㊁导数㊁三角函数㊁平面向量㊁复数㊁计数原理㊁数列㊁推理与证明㊁不等式㊁概率与统计㊁空间几何体㊁4-1㊁4-4㊁4-5㊁4-7) 本试题卷包括选择题㊁填空题和解答题三部分,共8页㊂时量120分钟㊂满分150分㊂得分:一㊁选择题:本大题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.1.已知m 1+i =1-n i ,其中m ,n 是实数,i 是虚数单位,则m +n i =A .2+iB .1-2iC .1+2iD .2-i 2.设集合A ={1,2},则满足A ∪B ={1,2,3}的集合B 的个数为A .1B .3C .4D .83.下图是一个几何体的三视图,则该几何体的体积为A .6B .8C .16D .244.某程序框图如图所示,该程序运行后输出的n值是A .3B .4C .5D .65.已知函数f (x )=3s i n 2ωx +2c o s 2ωx 的一条对称轴为x =π3,且0<ω<2,则f (x )的一个对称中心为A .(-π6,0)B .(-π6,1)C .(π4,0)D .(π4,1)6.如图,四边形O A B C 是边长为1的正方形,O D =3,点P 在△B C D 内(含边界)运动,设→O P =α→O C +β→O D ,则α+β的最大值等于A .14B .43C .13D .17.已知函数f (x )=-2x ,x >0e x,x ≤{,若关于x 的方程f [f (x )]=k 有实数解,则实数k 的取值范围是A .(0,+∞)B .[-2,0)∪(0,1)C .(-∞,1)D .[-2,+∞)8.设函数f (x )=x 2-a x +a +3,g (x )=a x -2a ,(其中a ∈R ),若存在x 0∈R ,使得f (x 0)<0与g (x 0)<0同时∙∙成立,则实数a 的取值范围是A .(7,+∞)B .(0,4)∪(7,+∞)C .(-∞,-7)∪(4,+∞)D .(-∞,-2)∪[6,+∞)选择题答题卡题号12345678答案二㊁填空题:本大题共8小题,考生作答7小题,每小题5分,共35分,把答案填在答题卡中对应题号后的横线上.(一)选做题(请考生在第9㊁10㊁11三题中任选两题作答,如果全做,则按前两题给分.)9.不等式|x -1|+|x +2|≥5的解集为 .10.如图,P A B 是半径为5的圆O 的一条割线,P A =2,A B=6,P C 是圆O 的一条切线,C 为切点,则四边形P A O C 的面积为 .11.某化工厂准备对某一化工产品进行技术改良,现决定优选加工温度,试验范围为20℃~33℃,精确到±1℃,现技术员准备用分数法进行优选,则第一个试点为 .(二)必做题(12~16题)12.(x +1x)9展开式中的常数项为 .13.已知实数x ,y 满足4x 2+4y 2-5x y =5,则S =x 2+y 2的最大值为 .14.为了了解高三学生的身体状况,调查了部分男生的体重,将所得数据整理后,画出频率分布直方图(如图),已知图中从左到右的前3个小组的频数成等差数列,第2小组的频数为12,则抽取的男生人数是 .15.如图,矩形O A B C由直线x=0,x=a,y=0,y=8a围成,其中a∈(0,π),阴影部分是曲线y=s i n x下方区域在矩形O A B C内的部分,向矩形O A B C内随机投掷一点,若落在阴影部分的概率为316,则a的值是 .16.设Z={1,2, ,n},对Z的任一非空子集M,M中的最大数与最小数之和定义为M的特征.(1)若n=4,则Z的所有非空子集的特征的平均数为 ;(2)若n=k,则Z的所有非空子集的特征的平均数为 .三㊁解答题:本大题共6小题,共75分.解答应写出文字说明,证明过程或演算步骤.17.(本小题满分12分)在△A B C中,已知a㊁b㊁c分别为三个内角A㊁B㊁C的对边,锐角∙∙B满足s i n B=74.(1)求s i n2B+c o s2A+C2的值;(2)若b=2,当a c取最大值时,求△A B C的面积.18.(本小题满分12分)某种家用电器每台的销售利润与该电器无故障使用时间t (单位:年)满足如下关系:若t ≤1,则销售利润为0元;若1<t ≤3,则销售利润为100元;若t >3,则销售利润为200元.已知这种家用电器无故障使用时t ≤1,1<t ≤3和t >3这三种情况的发生是随机的,且发生的概率分别为16,13,12.(1)求销售一台这种电器的利润ξ的期望;(2)求销售3台这种家用电器的利润和恰为300元的概率.19.(本小题满分12分)已知直四棱柱A B C D A1B1C1D1中,底面A B C D是直角梯形,其中∠C D A=∠D A B=90°,D D1=D C= 2A D=2A B.(1)求证:D1C⊥A C1;(2)设E是D C上一点,试确定E的位置,使D1E∥平面A1B D,并说明理由.20.(本小题满分13分)饮料公司制造并出售某品牌圆柱形瓶装饮料,瓶子的制造成本包括瓶身和瓶底(瓶底指上底和下底),其中每单位平方厘米的造价成本瓶身为0.1分/c m2,瓶底为0.25分/c m2,要求制造的圆柱形瓶的容量为定值V(c m)3的饮料,设瓶底半径为r c m,瓶高为h c m.(1)当底半径r为多少时,能使制造成本最低?此时h r为多少?(2)饮料公司为了保证其独特的外形特征,规定h r在某一范围内取值.若要使hr≥a,a为给定正实数,则当r为多少时,可使瓶子制造成本最低?21.(本小题满分13分)已知数列{a n}的前n项和为S n,且a n+S n=6-62n,设b n=2n㊃a n.(1)求证:数列{b n}是等差数列,并求数列{a n}的通项公式;(2)设T n=a n㊃b n+1,若任意n∈N+,总有T n≤m成立,求实数m的取值范围.(3)设数列{c n}的通项公式为c n=2n(n∈N+),若i,j均为正整数,且1≤i≤j≤n,求所有可能的乘积c i㊃b j(如下图中的数阵)的和R n.c1b1c1b2 c2b2c1b3 c2b3 c3b3c1b4 c2b4 c3b4 c4b4c1b n c2b n c3b n c n b n22.(本小题满分13分)已知函数f(x)=x+x l n x,g(x)=x-l n x-2.(1)若x0是函数g(x)在(1,+∞)的一个零点,且x0∈(n,n+1),n∈Z,求n的值;(2)若k∈Z且k<f(x)x-1对任意x>1恒成立,求k的最大值; (3)设函数F(x)=2g(x)+x2+(a-2)x+4,其导函数F'(x),若函数F(x)的图象交x轴于C(x1,0),D(x2,0)两点,且线段C D的中点为N(x0,0),试问x0是否为方程F'(x)=0的根,请说明理由.。

[文数答案]炎德英才大联考2012长郡中学高三6次月考

2 2 ) ) y y y y y y y y | -( | | | 2 -2 3 -2 2 1-( 2 -2 1 -2 2 因为 S曶BMC =2 所以 d 所以 3 …… ( S曶AMB , d =2 1 2分) C =2 A, 2 2 ) ) 1 6+ ( 1 6+ ( 2 -2 2 -2 y y
y 4 , 2 +2 栚当 MB 与x 轴不垂直时 , k = M B= 2 y 2 -2 y 2 -1 4
) , ) , 设直线 MB 的方程为y+2= 4 ( 即4 x-1 x- ( 2 -2 2 =0 y y-2 y 2 -2 y 令 y=0 得 2 同理 2 x x 2 x 8分) 2= 2, 1= 1, 3= 3 ,…………………………………………………………… ( y y y , , , 因为 x 依次组成公差为的等差数列 1 1 x 2 x 3 所以 y ……………………………………………………………… ( 1 0分) 1, 2, 3 组成公差为 2 的等差数列 . y y 设点 A 到直线 MB 的距离为dA , 点 C 到直线 MB 的距离为dC , 炎德 · 英才大联考文科数学参考答案 ( 长郡版 ) -2 暋
p 由抛物线定义 , 得x 所以 p=2, - ) =2, x . ………………………………………………… ( 4分) 0-( 0 =1 2 2 ( ) ) ) 由( 知抛物线方程为 y =4 2 1 x, M( 1, -2 .
p, 2
, 直线 MB 的方程为x=1, 则x 不合题意 , 舍去 . ……………………………… ( 栙当 MB曂x 轴时 , 6分) 1 =0
2 =3 s i n x c o s x-s i n x-c o s 2 x+m=

湖南省长沙一中2012届高三月考试卷(四)英语试题word版

长沙一中2012届高三月考试卷（四）英语试题本试卷分为四个部分，包括听力、语言知识运用、阅读和书面表达。

时量120分钟。

满分150分。

Part ⅠListening Comprehension（30 marks）Section A (22.5 marks)Directions: In this section, you will hear six conversations between two speakers. For each conversation, there are several questions and each question is followed by three choices marked A, B and C. Listen carefully and then choose the best answer for each question.You will hear each conversation TWICE.Conversation 11．Where is Jerry?A．In the car. B．In the hospital. C．In the school. 2．What can we learn about Jerry’s sister?A．She knows Alan well. B．She is still in danger. C．She will recover soon. Conversation 23．What was the man in China for?A．For a tour. B．For a lecture. C．For a conference. 4．How many cities did the woman visit in China?A．4. B．5. C．6.Conversation 35．What’s the probable relationship between the two speakers?A．Mother and son. B．Husband and wife. C．Saleswoman and customer.6．What suggestion does the man give?A．Saving some money in the bank.B．Buying famous brand long-sleeve T-shirts.C．Buying good-quality T-shirts at a low price.Conversation 47．Which city are the two speakers in?A．Beijing. B．Guangzhou. C．Changsha.8．What are they mainly talking about?A．Food. B．Health. C．Shopping.9．What can we learn from the conversation?A．The stinky toufu sellers all come from Hunan.B．The man prefers to have supper at home today.C．Some Japanese girls like the Chinese-style hair clips.Conversation 510．Why is the patient seeing the doctor?A．Because he feels tired.B．Because his wife feels tired.C．Because his wife told him to.11．What does the doctor think his problem is?A．His job. B．His wife. C．His operation. 12．What can we learn about the doctor?A．She isn’t fit for her job.B．She didn’t give the man any examination.C．She will give the man further examination tomorrow.Conversation 613．Why does the man feel terrible?A．Because h is computer was stolen.B．Because he lost all his homework in the computer.C．Because he failed to finish the homework on computer.14．When should the man hand in his homework?A．Next Tuesday. B．Next Thursday. C．Next Wednesday. 15．What can we learn from the conversation?A．The woman has just bought a computer.B．The woman’s virus protection is nearly out of date.C．The man doesn’t know what to do without the Internet.Section B (7.5 marks)Directions: In this section, you will hear a short passage. Listen carefully and then fill in the numbered blanks with the information you have heard. Fill in each blank with NO MORE THAN THREE WORDS.You will hear the short passage TWICE.Part II Language Knowledge(45 marks)Section A (15 marks)Directions: Beneath each of the following sentences there are four choices marked A, B, C and D. Choose the one answer that best completes the sentence.21．is known to us all is that the 2012 Olympic Games will take place in London.A．It B．As C．What D．Which 22．Five years ago the population of their city was of ours.A．twice more than that B．as twice large as thatC．twice as much as that D．twice as large as that23．—I’m sorry, but you are fined $ 50! You know you at 120 km an hour, don’t you?—No, officer. I can’t have been. This car doesn’t do 100.A．are driving B．were driving C．have driven D．had driven 24．It is high time he up his mind.A．made B．makes C．make D．making 25．gets well prepared will pass the exam easily.A．Who B．Anyone C．Whoever D．Those who 26．The original meanings of many idioms have changed time.A．in B．on C．for D．over 27．This shirt has to every day. But luckily it well.A．wash; washes B．wash; is washedC．be washed; washes D．be washed; is washed28．with so much trouble, they failed to complete the task on time.A．Faced B．Facing C．To face D．To be faced 29．Word came our team won the competition.A．when B．where C．which D．that30．It was in that company he used to work in he met that girl.A．that; which B．where; which C．that; that D．where; that 31．Nobody leave the classroom before the bell rings.A．shall B．will C．should D．must 32．He hurried to the train station, only that the train had left.A．finding B．to find C．having found D．to have found 33．Hardly with my parents when I realized that I was wrong and shouldn’t have done this to them.A．did I quarreled B．had I quarreled C．I quarreled D．I had quarreled 34．So hurriedly the classroom that he forgot to turn off the light.A．he left B．did he leave C．had he left D．he had left 35．Generally, air will be heavily polluted there are a lot of factories.A．where B．when C．that D．how Section B(18 marks)Directions: For each blank in the following passage there are four words or phrases marked A,B,C and D. Fill in each blank with the word or phrase that best fits the context.Scientists find that hard-working people live longer than average men and women. Career women are healthier than housewives. Evidence shows that 36 are in poorer health than jobholders. A study shows that whenever the unemployment rate increases by 1%, the death rate 37 correspondingly by 2%. All these come down to one point: Work is helpful to health.Why is work good for health? It is because work keeps people busy, 38 loneliness and solitude(孤独). Researches show that people feel unhappy, worried and lonely when they have 39 to do. Instead, the happiest are those who are busy. Many high achievers who love their careers feel that they are happiest when they are working hard. Work serves as a bridge 40 man and reality. Through work, people come into contact with each other. By collective(集体的) activity, they find friendship and warmth. This is helpful to health. The 41 of work means the loss of everything. It affects man spiritually and makes him liable to(易于) 42 .43 , work gives one a sense of fulfillment and a sense of 44 . Word makes one feel his value and status in society. When a writer finishes his writing or a doctor successfully operates on a patient or a teacher sees his students 45 , they are happy beyond words.From the above we can come to the conclusion that the more you 46 , the happier and 47 you will be. Let’s work hard and study and live a happy and healthy life.36．A．the busy B．the jobless C．career women D．the hard-working37．A．decreases B．rises C．improves D．declines 38．A．with B．in C．full of D．away from 39．A．anything B．something C．nothing D．everything 40．A．over B．across C．for D．between 41．A．loss B．failure C．gains D．success 42．A．success B．death C．victory D．disease 43．A．Besides B．Finally C．However D．Therefore 44．A．disappointment B．achievement C．regret D．humor 45．A．come B．go C．grow D．laugh 46．A．laugh B．work C．exercise D．play 47．A．happier B．stronger C．smarter D．wealthier Section C (12 marks)Directions: Complete the following passage by filling in each blank with one word that best fits the context.Why is setting goals important? 48. goals can help you do, be, and experience everything you want in life. Instead of just letting life happen to you, goals allow you to make your life happen.Successful people imagine how their life should be and set lots of goals. 49. setting goals you are taking control of your life. It’s like having a map to show you where you want to go. Think of it this way. There are two drivers. 50. has a destination in mind which can be found on a map. He can drive straight there surely without any wasted time of wrong turns. The otherdriver has 51. goal, or destination or map. She starts off at the same time from the same place as the first driver, but she drives aimlessly around, never getting anywhere, just using up gas. 52. driver do you want to be?Winners in life set goals and follow them through. They decide what they want in life and then get there by making plans and setting goals. Unsuccessful people usually just let life happen by accident. Goals aren’t difficult to set and they aren’t difficult to reach. It’s up to 53. to find out what your goals really are. You are the one who must decide what to achieve and in what direction to aim your life.Research tells us that when we write a goal 54. , we are more likely to achieve it. Written goals can be reviewed regularly, and have more power. Like a contract with yourself, they are harder to neglect or forget. Also when you write your goals in a particular way, you are able to make yourself continuously aware of situations 55. will bring you nearer to your goal. Part III Reading comprehension (30 marks)Directions: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage.AYoung Mr. Smith had an idea for his employer to save money for the company by increasing prices and selling goods of less value. If his employer like the idea, Smith might be given more pay or even get a better job.Business had been very slow. So his employer thought a few minutes. But then she shook her head. “I am sorry, Smith.” She said. “It just will not wash.”Most word experts agree that "It will not wash" means it will not work. Eric Partridge wrote that the saying probably developed in Britain in the 180s, when Charlotte Bronte used “That won’t wash, miss.”In a story. She seems to have meant that the colors in a piece of clothing couldn’t be depended on to stay.In mineteenth century England, the expression came to mean an undependable statement mainly to describe an idea. But sometimes it was used about a person. For example, a critic once said of the poet Robert Browning, “He won’t wash.”Happily for the young employee Smith, the employer “talked turkey” to him. She said, “Your idea would be unfair to our buyers. Think of another way to save money.”A century ago, “to talk turkey”meant to talk pleasantly. Turkeys in the barnyard were thought to be speaking pleasantly to one another. In recent years, the saying has come to mean an attempt to teach something important.Word expert Charles Funk tells how this change took place. A white man and an American Indian were shooting turkeys together. The white man began stating reasons why he should get all the turkeys for himself. But the American Indian stopped him. He told the white man, “Now, I talk turkey to you.”Mr. Smith thought of a better idea after his employer talked turkey to him. He was given an increase in pay. So if your idea “will not wash”, try “talking turkey” to yourself and come up with a better idea.56．Why did young Mr. Smith tell his idea to his employer?A．To increase prices. B．To sell goods of less value.C．To get more pay or a better job. D．To save money for the company. 57．What did the employer mean by saying “It just will not wash.”?A．Your idea is unfair. B．I couldn’t agree more.C．Your idea is incredible. D．Your idea is unworkable.58．Who invented the expression “It won’t wash” according to the passage?A．Charles Funk. B．Charlotte Bronte.C．Eric Pattridge. D．Robert Browning.59．What does “to talk turkey” mean now?A．To talk pleasantly. B．To argue with someone.C．To turn down one’s idea. D．To try to teach something important. 60．Which of the following agrees with the passage?A．The passage tells readers how to create English expressions.B．Talking turkey to yourself can help you think of a better idea.C．If someone says “Your suggestion won’t wash.” he shares your idea.D．Mr. Smith was finally given an increase in pay because he talked turkey to his employer.BLooking for teaching jobs? Welcome to Techers-Teachers. Com, a service designed to save instructors’ time and money as they search for great jobs in education.By posting your resume(履历) online, you can make yourself instantly accessible to thousands of schools nationwide, and you’ll also gain acess to our large database of open teaching jobs. Schools across the United States are constantly hunting for new teachers, so if you need help finding the perfect job. Teachers-Teachers is here to offer assistance.If any school has an interest in you as a candidate, you will be notified via email. You will then be given the opportunity to email a cover letter, and receive more information about the school and the position for which you are applying.●It’s Free: is a free online service for instructors looking for open teacher employment opportunities. When you use our site, you can avoid the costs of mailing and faxing resumes.●It’s Easy: Why waste valuable time researching available teaching positions for teachers and mailing dozens of resumers? Within minetes, you can create and post your resume, and lot the schools come to you.●It’s Customized: Streamline your search of teaching jobs by specifying in which states you are willing to work, the desired subject area and grade level, and y our preferred school setting. The notices you receive regarding teaching jobs will only match the criteria you have selected .●It’s Effective: By posting your resume online, your information will be instantly accessible to hundreds of interested schools. You’ll also have immediate access to scores of open education jobs nationwide.●It’s Convertlent:Apply to schools any time-day or night. Edit and update your resume online. Updated resumes help schools find the most qualified candidates for their open teachingpositions.●It’s Secure: Your information is protected via your username and password. Be confident you can prevent current employers from seeing your resume by blocking out their zip code. 61．The passage is probably written for .A．educators B．university studentsC．college graduates D．those searching for teaching jobs 62．Which of the following is NOT an advantage of ?A．It saves time and money.B．The site is open at any time.C．It offers candidates scores of teaching jobs.D．It won’t give the candidates’ information away.63．Which of the following statements is TURE according to the passage?A．The site can update your resume automatically for you.B．If a school is interested in you, they will arrange an interview with you.C．If you use Teachers-Teachers. com, all you need to do is post your resume.D．The purpose of Teachers-Teachers. com is to help instructors find a teaching position more easily.64．The underlined word “notified” in Paragraph 3 probably means “”.A．employed B．informed C．invited D．selected 65．Which of the following can be used as the best title of this advertisement?A．Teaching jobs online B．Finding perfect jobsC．Just post your resume D．Hunting for new teachersCThe first night in Yosemite had been awful. I hadn’t been able to sleep and I was stuck in a too small tent with my wife and two kids. “Things haven’t worked out,” I said to myself. But, like so many other things I complain before my morning coffee, this one was ridiculously off-key. Things weren’t bad; they were good.A hundred yards (91 meters) away was Summit Lake, with its wonderful early orning mists shimmering(闪烁微光) off the water. A couple of miles to the southwest was the base of the Lassen Peak Trail. The base was 8,000 feet (2,400 meters) above sea level, huge snow banks dotting(点缀) the place even in mid August. It was beautiful.We fired up the camp stove, got out our cold boxes from the heavy metal locker(储物柜), fried up some bacon, cut open some bread, and boiled up a cup of coffee.Half an hour later, my 6-year-old daughter and I were in the parking lot of the Lassen Peak Trail, getting ready to hike. We wouldn’t make it all the way—young legs get pretty tired on a steep mountain path—but it didn’t matter. We would see great views spread out below us, the volcanic ash that layered on the earth turning the melding snow a mysterious pink as the sun struck it.Later, on the hike, I felt stupid about my morning complaints. Everything had been worthwhile. It gave me enormous satisfaction to see my daughter so excited about the view from the mountain.Yes, camping is uncomfortable. But there’s also something wonderful about being so close to nature. Just as importantly, there’s something about getting young children out of their increasingly technology-filled comfort zones and forcing then to encounter the non-cyber world around them.We lose something when we spend all our time cocooned inside a carefully constructed modernity, and when we read about daily affronts(冒犯) to the environment, yet don’t fully realize what is at stake, removed as we are from nature. It’s a good thing to reconnect every so often with the Great Outdoors.66．How did the author first feel about camping in Yosemite?A．Excited. B．Shocked. C．Wonderful. D．Uncomfortable. 67．By saying “this one was ridiculously off-key”, the author means that “”.A．he had lost his key B．this was meaninglessC．this was quite unusual D．this was far from the truth 68．Which of the following is TURE according to the article?A．The author seldom complains in the early morning.B．The author walked all the way to the Lassen Peak Trail.C．The view from the mountain impressed the author’s daughter.D．The author hiked to the top of the mountain to get a better view.69．Why wouldn’t they hike all the way?A．Because there was volcanic ash.B．Because the trail was covered with snow.C．Because they would get tired easily.D．Because they wanted to see great views below.70．With the article, the writer tries to send the message that .A．it’s great to walk outdoors and get close to natureB．we should try our best to keep the balance of natureC．modern technology causes no harm to human societyD．it’s advisable to be well prepared before going campingPart IV Writing (45 marks)Section A (10 marks)Directions: Read the following passage. Fill in the numbered blanks by using the information from the passage.Write NO MORE THAN THREE WORDS for each answer.There are several variations on the basic auction(拍卖) form, including time limits, minimum or maximum limits on bid prices, and special rules for determining the winning bidder(s) and sale price(s).English auctionThis type of auction is arguably the most common form of auction in use today. Participants bid openly against one another, with each subsequent(随后的) bid higher than the previous bid. The auction ends when no participant is willing to bid further, at which point the highest bidder pays their bid. Alternatively, if the seller has set a minimum sale price in advance (the ‘reserve’price) and the final bid does not reach that price the item remains unsold. Sometimes the auctioneer sets a minimum amount by which the next bid must exceed the current highest bid.The English auction is commonly used for selling goods, most prominently antiques and artwork, but also second hand goods and real estate. At least two bidders are required.Dutch auctionIn the traditional Dutch auction, the auctioneer begins with a high asking price which is lowered until some participant is willing to accept the auctioneer’s price. The winning participant pays the last announced price.In addition to cut flower sales in the Netherlands, Dutch auctions have also been used for perishable(易腐坏的) commodities such as fish and tobacco.Sealed first-price auctionSealed first-price auction, also known as a first-price sealed bid auction(FPSB). In this type of auction all bidders simultaneously submit sealed bids so that no bidder knows the bid of any other participant. The highest bidder pays the price they submitted.This type of auction is distinct from the English auction, in that bidders can only submit one bid each. Furthermore, as bidders cannot see the bids of other participants they cannot adjust their own bids accordingly. Sealed first-price auctions are commonly used in tendering(投标), particularly for government contracts and auctions for mining leases.Vickrey auctionVickrey auction, also known as a seated-bid second-price auction. This is identical to the sealed first-price auction except that the winning bidder pays the second highest bid rather than their own. This is very similar to the proxy(代理人) bidding system used by eBay, where the winner pays the second highest bid plus a bidding increment(增额) (e.g..10%)Directions: Read the following passage. Answer the questions according to the information given in the passage.Energy beverages, vitamin pills, beauty drinks. We have swallowed bucket loads of antioxidant-rich products”(富含抗氧化物的产品) in a belief that he antioxidants they contain could improve our health and turn back the aging clock.But sadly, researchers now say the antioxidant myth could be just another medical fairy tale."There is little to no data supporting the use of antioxidants to protect against disease," said Toren Finkel, a health professional at the US National Heart, Lung, and Blood Institute.What's even sadder, large doses of antioxidant supplements could promote the very problems they are supposed to stamp out.A recent review of the Selenium and Vitamin E Cancer Prevention Trial showed long-term, regular use of Vitamin E supplements increase the risk of prostate cancer in healthy men.However, antioxidants have long since acquired a reputation as miracle health supplements.As long ago as the 1950s, scientists discovered that many diseases – including heart diseases, strokes and cancer – are linked to free radicals(自由基), destructive chemicals that can destroy cell membranes(细胞膜) and disrupt（打断，妨碍）crucial processes in the body.Then in the early 1990s, they noticed that people who eat foods rich in antioxidants, often found in fruits and vegetables, have lower rates of cancer and heart disease. A hypothesis was thus born: antioxidants, including Vitamins C and E, beta-carotene and polyphenols, are a weapon against free-radical damage.Manufacturers have since emblazoned（颂扬）"antioxidants" on everything. Nestle's Glowelle Beauty Drink connects to beliefs about antioxidants' skin benefits with its message about being "the highest antioxidant beauty drink". Coca Cola's Vitamin Water-XXX boasts（吹嘘）"triple antioxidants". Even Starbucks introduced its "antioxidant-rich" Blueberries & Crème Frappuccino.Last year alone, hundreds of products with antioxidant claims were launched, said Carlotta Mast, editor-in-chief of , which tracks the market in natural, organic and healthy products.Advertisement campaigns aside, athletes have been driving the "antioxidant" bandwagon.Elite marathon runner Wesley Korir of Kenya swears by antioxidant supplements, which he believes have kept him healthy, allowing him to do faster workouts and recover more quickly.Korir, winner of the last two Los Angeles Marathons, takes several supplements, including a liquid product with acai, a fruit that contains antioxidants.But experts warn that supplementing with antioxidants may blunt the beneficial effects of working out."To fight oxidative stress, exercise. And eat your fruits and vegetables," professor David Neiman at Appalachian State University, US gives his timeworn advice81. Why do people use antioxidants? (No more than 14 words) (3 marks)Because people believe they can improve our health and turn back the aging clock. /Because people believe they can protect against disease.82. Who is mentioned as a user of antioxidants? (No more than 2 words) (2 marks)Wesley Korir.83. What is the side effect of long term, regular use of Vitamin E supplements? (No more than10 words) (2 marks)It increases the risk of prostate cancer in healthy men.84. What’s Professor David Neiman’s advice to fight oxidative stress? (No more than 7 words) (3 marks)To exercise and eat fruits and vegetables. / Exercising and eating fruits and vegetables.SECTION C(25 marks)Directions: Write an English composition according to the instructions given below in Chinese.以下是你对好友有意见时写给他（她）的一封信，每段的最后一句已经给出，请根据每段的最后一句用不少于120字完成该信件。

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=1,2,…}的韦恩图如图所示,则阴影部分所示的集合的
元素共有
A.3 个
B.2 个
C.1 个
D.无穷多个
3.已知随机变量 X~N(2,氁2),若 P(x<a)=0.32,则 P(x>4-a)=
A.0.32
B.0.36
C.0.64
D.0.68
4.在等比数列{an}中 ,a1+a3=5,前4项的和为15,则数列{an}的公比为
炎德 · 英才大联考理科数学 (一中版 )-暋6
21.(本小题满分 13 分 )
在正项数列{an}和 {bn}中 ,a1 =2,b1 =4,且 an,bn,an+1 成等差数列 ,bn,
an+1,bn+1成等比数列 .
(1)求{an},{bn}的通项公式 ;
ELSE f(x)=2^x
END 暋PRINT暋f(x)
END
根据以上程序语言 ,可求得 f(-3)+f(2)= 暋暋暋暋 .
{ 14.定义在
R
上的函数 f(x)满足 f(x)=
log2(1-x),x曑0
,则
f(x-1)-f(x-2),x>0
f(2012)= 暋暋暋暋 .
(1)求角 A、B、C 的大小;
(2)若 BC 边上的中线AM 的长为 7,求三角形 ABC 的边a,b,c的值.
炎德 · 英才大联考理科数学 (一中版 )-暋3
18.(本小题满分 12 分 ) 如图(1)是多面体 ABCA1B1C1 的直观图,该多面体的三视图如图(2). (1)在棱 CC1(不包括点 C、C1)上是否存在一点 E,使 EA曂EB1,并说明理由; (2)在(1)的条件下,求二面角 A—EB1—A1 的大小.
炎德 · 英才大联考理科数学 (一中版 )-暋5
20.(本小题满分 13 分 ) 某水库进入汛期后的水位升高量h(n)(单位:标高)与进入汛期的天数n 的关系是h(n)=20 5n2+6n,汛期共计 40 天,刚进入汛期时水库水位为220(标高);而水库警戒水位是 400(标高),水库共有水闸 15 个,每开启一个泄洪 ,一天可使水库的水位下降 4(标高 ). (1)若不开启水闸泄洪,这个汛期水库是否有危险? 若有危险,将发生在第几天? (2)若要保证水库安全,则在进入汛期的第一天起每天开启 p 个水闸泄洪,求 p 的最小值. (参考数据 :2.272 曋5.15,2.312 曋5.34)
时间t 50 110 250 种植成本 Q 150 108 150
炎德 · 英才大联考理科数学 (一中版 )-暋1
学暋校暋
根据表中数据,下列函数模型中可以描述西红柿的种植成本 Q 与t 的变
化关系是
A.Q=at+b(a曎0)
B.Q=at2+bt+c(a曎0)
(考试范围 :集合、逻辑、算法、函数、导数、三角函数、平面向量、复数、数列、推理与证明、不等式、概率与统计、立体几何、选修 (4-1、4-4、4-5、4-7)) 暋暋本试题卷包括选择题、填空题和解答题三部分 ,共8 页。时量120 分钟。满分 150 分。
C.Q=a·bt(a曎0)
D.Q=a·logbt(a曎0)
7.若函数f( 间 [3,4]上是增函数,则实
数a 的取值范围是
A.(1,+ 曓 )
B.(1 3 ,1)
C.[18
,1 3
)暼
(1,+
曓)
D.[1 8
,1 4
)暼(1,+
9.设直角坐标系xOy 的原点为极点O,Ox 轴正半轴为极轴,已知直线l的极
{ 坐标方程为 3氀cos毴+4氀sin毴+10=0,曲线 C
的参数方程为
x=2+5cos毴 y=1+5sin毴
(毴为参数),则直线l与曲线C 的公共点个数为暋暋暋暋个.
10.如图,曶ABC 是曆O 的内接三角形,曆O 的半径r=
炎德 · 英才大联考理科数学 (一中版 )-暋2
(二 )必做题 (12~16 题 )
12.若(2-x)4 =a0 +a1x+a2x2 +a3x3 +a4x4,则 a0 -a1 +a2 -a3 +a4 =
暋暋暋暋.
13.下面程序 :
INPUT暋x
IF暋x< =0暋THEN f(x)=4*x
暋暋暋暋暋暋;若数列{cn}的第 n 项和为Sn,则 Sn 关于n 的表达式为
(n暿N* )暋暋暋暋暋暋暋暋暋暋暋暋暋暋暋.
三、解答题:本大题共6小题,共75分灡解答应写出文字说明,证明过程或演
算步骤灡
17.(本小题满分 12 分 )
在曶ABC 中,角 A、B、C 的对边分别为a、b、c,若sinA=sinB=-cosC.
信息技术生物
化学
物理
数学
周一
1
1
1
1
1
4
4
4
4
2
周三
1
1
1
1
2
2
2
2
2
3
周五
1
1
1
1
2
3
3
3
3
3
根据上表:
(1)求数学辅导讲座在周一、周三、周五都不满座的概率 ; (2)设周三各科辅导讲座满座的科目为毼,求随机变量毼的分布列和数学
期望.
(2)证
明
:1 a1 +b1
+a21+b2
+
…
+an1+bn
<152.
炎德 · 英才大联考理科数学 (一中版 )-暋7
22.(本小题满分 13 分 ) 已知函数f(x)的图象在[a,b]上连续不断,定义:f1(x)=min{f(t)|a曑 t曑x,x暿 [a,b]},f2 (x)= max{f(t)|a曑t曑x,x暿 [a,b]}.其中, min{f(x)|x暿D}表示函数 f(x)在 D 上的最小值,max{f(x)|x暿D}表示函数f(x)在 D 上的最大值.若存在最小正整数k,使得f2(x)-f1(x) 曑k(x-a)对任意的x暿[a,b]成立,则称函数 f(x)为 [a,b]上的 “k 阶收缩函数暠. (1)已知函数f(x)=2sinx,x暿[0,2毿],试写出 f1(x),f2(x)的表达式, 并判断f(x)是否为[0,2毿]上的“k 阶收缩函数暠,如果是,请求对应的 k 的值;如果不是,请说明理由; (2)已知b>0,函数g(x)=-x3+3x2 是[0,b]上的2阶收缩函数,求b的取值范围.
A.12
B.1 3
C.2
D.3
5.如图所示是一样本的频率分布直方图,则由图形
中的数据 ,可以估计众数与中位数分别是
A.12.5,12.5 B.12.5,13 C.13,12.5 D.13,13
6.某地西红柿自2月1日开始分批上市,通过市场调查,某批西红柿上市距 2 月 1 日的天数t与其种植成本 Q(单位 :元/100kg)的相关数据如下表 :
15.若已知区域 M={(x,y)||x-2|+|y-2|曑2,x,y暿R},则区域 M 内的
点到坐标原点的距离不超过2的概率为暋暋暋暋.
16.已知某数组均由三个自然数组成,依次排列为 (1,2,3),(2,4,6),(3,8,11),
(4,16,20),… ,(an,bn,cn),请写出该数组的第 6 个 ,即 (a6,b6,c6 )=
炎德 · 英才大联考理科数学 (一中版 )-暋8
得分 :暋暋暋暋暋暋暋
班暋级暋
一、选择题:本大题共8小题,每小题5 分,共 40 分.在每小题给出的四个选项中 ,只有一项是符合题目要求的 .
1.复数i(1+2i)(i是虚数单位 )的实部是
A.-2
B.2
C.-1
D.1
2.已知全集U=R,M={x||x-1|曑2}和 N={x|x=2k,k
A.2
B.2 2
C.3 2
D.4 2
选择题答题卡
题暋号 1
2
3
4
5
6
7
8
答暋案
二、填空题:本大题共8小题,考生作答7小题,每小题5分,共 35 分,把答案填在答题卡中对应题号后的横线上灡
(一)选做题(请考生在第 9、10、11 三题中任选两题作答,如果全做,则按前两题给分 .)