【K12教育学习资料】[学习]山西省平遥中学2016-2017学年高二数学下学期期中试题 理

平遥中学2016—2017学年度第二学期高二期中考试数学试题（理科）本试卷满分150分考试时间120分钟本试卷分为试题卷和答题卷两部分，其中试题卷由第I卷（选择题）和第II卷（非选择题）组成一．选择题（5×12=60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，请将正确选项填在答题卡的相应位置上）1、设是虚数单位,复数的实部与虚部之和为( )A.0B.2C.1 D.-12、下面几种推理过程是演绎推理的是( )(A)某校高三有8个班,1班有51人,2班有53人,3班有52人,由此推测各班人数都超过50人(B)由三角形的性质,推测空间四面体的性质(C)平行四边形的对角线互相平分,菱形是平行四边形,所以菱形的对角线互相平分(D)在数列中，，，由此归纳出的通项公式3、函数的单调递增区间是( )A. B. C. D.4、若的展开式中的系数是,则实数的值是( )A. B. C. D.5、甲、乙、丙、丁四个人排成一行,则乙、丙位于甲的同侧的排法种数是( )A.16B.12C.8D.66、若函数是上的单调函数,则实数的取值范围为( )A. B. C. D.7、将l,2,3,4,5,6,7,8,9这9个数字填在如图的9个空格中,要求每一行从左到右、每一列从上到下分别依次增大,当3,4固定在图中的位置时,填写空格的方法数为A.4种B.6种C.9种D.12种8、学习合情推理后,甲、乙两位同学各举了一个例子,甲:由“若三角形周长为,面积为,则其内切圆半径”类比可得“若三棱锥表面积为,体积为,则其内切球半径”;乙:由“若直角三角形两直角边长分别为、,则其外接圆半径”类比可得“若三棱锥三条侧棱两两垂直,侧棱长分别为为、、,则其外接球半径”.这两位同学类比得出的结论( )A.两人都对B.甲错、乙对C.甲对、乙错D.两人都错9、设的展开式的各项系数之和为,二项式系数之和为,若,则展开式中的系数为( )A.-150B.150C.300D.-30010、做一个圆柱形锅炉,容积为,两个底面的材料每单位面积的价格为元,侧面的材料每单位面积价格为元,当造价最低时,锅炉的底面直径与高的比为( )A. B. C. D.11、从6名志愿者中选出4人分别从事翻译、导游、导购、保洁四项不同的工作,若其中甲、乙两名志愿者不能从事翻译工作,则选派方案共有A.96种B.240种C.180D.280种12、已知定义在上的函数的图象关于点对称,且当时,(其中是的导函数),若,,,则,,的大小关系是( )A. B. C. D.第Ⅱ卷（非选择题，共90分）。

山西省平遥中学高二下学期期中考试（数学文）本试卷满分150分 考试时间1第Ⅰ卷（选择题）一．选择题：（本大题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的）1．复数2)2321(i +-对应的点位于复平面的（ ）A ．第一象限B ．第二象限C ．第三象限D ．第四象限2．若b a c b a >∈,R 、、，则下列不等式成立的是（ ）A.b a 11< B.22b a > C.1122+>+c b c a D.||||c b c a >3．复数集是由实数集和虚数集构成的,而实数集又可分为有理数集和无理数集两部分;虚数集也可分为纯虚数集和非纯虚数集两部分,则可选用（ ）来描述之.A ．流程图B ．结构图C ．流程图或结构图中的任意一个D ．流程图和结构图同时用 4．已知命题p ：函数()y f x =的导函数是常数函数；命题q ：函数()y f x =是一次函数，则命题p 是命题q 的（ ） A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件５. 在研究某新措施对“非典”的防治效果问题时，得到如下列联表：由表中数据可得27.317k =，故我们由此认为 “新措施对防治非典有效” 的把握为（ ）A ．0B ．95%C ．99%D ．100%6．以下的极坐标方程表示直线的是（ ）A ．θρcos 2a = )0(>aB ．)sin (cos 9θθρ+=C ．3=ρD ．1sin 3cos 2=+θρθρ7.已知点21,F F 分别是双曲线的两个焦点，P 为该曲线上一点，若21F PF ∆为等腰直角三角形，则该双曲线的离心率为（ ）A ．22B ．13+C ．32D ． 12+8.设)(x f 是可导函数，且='=∆-∆-→∆)(,2)()2(lim0000x f x x f x x f x 则（ ）A ．21B ．－1C ．0D ．－29．如果=++==+)5()6()3()4()1()2(,2)1()()()(f f f f f f f b f a f b a f 则且（ ）A ．512B ．537C ．6D ．810.函数223)(a bx ax x x f +--=在1=x 处有极值10, 则点),(b a 为( ）A.)3,3(-B.)11,4(-C. )3,3(-或)11,4(-D.不存在 11.某工厂对一批产品进行了抽样检测.右图是根据抽样检测后的产品净重（单位：克）数据绘制的频率分布直方图，其中产品净重的范围是[96，106]，样本数据分组为[96，98），[98，100),[100，102)，[102，104),[104，106],已知样本中产品净重小于100克的个数是36，则样本中净重大于或等于98克并且小于104克的产品的个数是( ). A 45 B 75 C. 60 D ．9012．双曲线22221x y a b -=的左右焦点为12,F F ，线段12F F 被抛物线22y bx =的焦点分成2：1两段，则双曲线的离心率为( )A. 553B. 13133C. 310D. 109第Ⅱ卷（非选择题 共90分）二．填空题：(本大题共4小题, 每小题5分，共把答案填写在答题卡上相应位置的横线上)106第11题图13.已知281(0,0)x y x y +=>>，则x y +的最小值为____________.14.点P 是曲线x x y ln 2-=上任意一点, 则点P 到直线2+=x y 的距离的最小值是 15.已知)(x f y =是偶函数，)(x g y =是奇函数，它们的定义域均为[-3，3]，且它们在]3 ,0[∈x 上的图像如图所示，则不等式0)()(<x g x f 的解集是_____.16．给出下列四个结论：①命题“2,0"x R x x ∃∈->的否定是“2,0x R x x ∀∈-≤”； ②“若3a b +>，则1a >或2b >”是真命题； ③函数()sin f x x x =-（x R ∈）有3个零点；④对于任意实数x ，有()(),()(),f x f x g x g x -=--=且0x>时,()0,()0,f x g x ''>>则0x <时()().f x g x ''>其中正确结论的序号是 .（填上所有正确结论的序号）三、解答题：(本大题共6小题，共70分。

2016-2017学年山西省平遥中学高二上学期期中考试数学一、选择题：共12题1．如下图所示，观察四个几何体，其中判断正确的是A.(1)是棱台B.(2)是圆台C.(3)是棱锥D.(4)不是棱柱【答案】C【解析】本题主要考查空间简单几何体.(1)不是棱台，因为没有可能出现侧棱延长线交于一点的情况；(2)不是圆台，因为上底面与下底面不平行；(3)是棱锥；(4)是棱柱，故答案为C.2．若三点A(0，8)，B(－4，0)，C(m，－4)共线，则实数m的值是A.6B.－2C.－6D.2【答案】C【解析】本题主要考查直线的斜率公式.因为三点A(0，8)，B(－4，0)，C(m，－4)共线，所以k AB=k AC,即,则3．用斜二测画法画一个水平放置的平面图形的直观图为如图所示的一个正方形，则原来的图形是【答案】A【解析】本题主要考查斜二测画法.应用斜二测画法时，与坐标轴平行的保持平行，与x轴平行的长度保持不变，与y轴平行的，在直观图下长度为原来的一半.结合选项可知，本题焦点主要在于与y轴平行时的长度变化.直观图下，，则原图中的长度为，对比选项，故选A.【备注】统计历年的高考题可以看出，对于斜二测画法，高考在于要求学生能够识别直观图，故考查相对较少.若考查，也属于容易题，一般分布在前3题.4．过点(3，－6)且在两坐标轴上的截距相等的直线的方程是A.2x＋y＝0B.x＋y＋3＝0C.x－y＋3＝0D.x＋y＋3＝0或2x＋y＝0【答案】D【解析】本题主要考查直线方程及其在坐标轴上的截距，考查了分类讨论思想.当直线过原点时，易得直线方程为2x＋y＝0；当直线不过原点时，由题意设直线方程为x+y=a，则a=—3，即直线方程为x＋y＋3＝0，故答案为D.5．某几何体的正视图和侧视图均如下图所示,则下面四个图中可以作为该几何体的俯视图的是A.(1),(3)B.(1),(4)C.(2),(4)D.(1),(2),(3),(4)【答案】A【解析】由于几何体的正视图和侧视图一样,可知该几何体可以为一个正方体上面放着一个球,也可以是一个圆柱上面放着一个球,则其俯视图可为(1)(3).6．设点A(3，－5)，B(－2，－2)，直线l过点P(1，1)且与线段AB相交，则直线l的斜率k 的取值范围是A.k≥1或k≤－3B.－3≤k≤1C.－1≤k≤3D.以上都不对【答案】A【解析】本题主要考查直线的方程与斜率，考查了数形结合思想.如图所示，k PA=－3,k PB=1,由题意可得直线l的斜率k的取值范围是k≥1或k≤－37．已知某几何体的三视图(单位:cm)如图所示,则该几何体的体积是A.108 cm3B.100 cm3C.92 cm3D.84 cm3【答案】B【解析】本题考查三视图与几何体的体积计算.由题意可知此几何体为一个长方体ABCD-A1B1C1D1截去一个三棱锥A-DEF后剩下的部分,如图所示,其中这个长方体的长、宽、高分别为6 cm,3 cm,6 cm,故其体积为6×3×6=108(cm3).三棱锥的三条棱AE,AF,AD的长分别为4 cm,4 cm,3 cm,故其体积为×(×4×3)×4=8(cm3),所以所求几何体的体积为108-8=100(cm3),故选B.8．已知圆C1：(x＋1)2＋(y－1)2＝1，圆C2与圆C1关于直线x－y－1＝0对称，则圆C2的方程为A.(x＋2)2＋(y－2)2＝1B.(x－2)2＋(y－2)2＝1C.(x＋2)2＋(y＋2)2＝1D.(x－2)2＋(y＋2)2＝1【答案】D【解析】本题主要考查直线与圆的位置关系，考查了转化思想与逻辑推理能力.设C2(x,y),由题意可知C1与C2关于直线x－y－1＝0，则,求解可得C2(2,—2)，所以圆C2的方程为(x－2)2＋(y＋2)2＝19．如图，正方体的棱线长为1，线段上有两个动点E，F，且，则下列结论中错误的是A. B.C.三棱锥的体积为定值D.【答案】D【解析】本题主要考查空间几何体、线面平行与垂直的判定与性质、空间几何体的表面积与体积，考查了逻辑推理能力与空间想象能力.在正方体中，,易得,则有，则，故A正确；所以三棱锥的体积为定值，则C正确；易知平面，所以，故B正确，因此答案为D.10．若圆(x－a)2＋(y－b)2＝b2＋1始终平分圆(x＋1)2＋(y＋1)2＝4的周长，则a、b应满足的关系式是A.a2－2a－2b－3＝0B.a2＋2a＋2b＋5＝0C.a2＋2b2＋2a＋2b＋1＝0D.3a2＋2b2＋2a＋3b＋1＝0【答案】B【解析】本题主要考查直线与圆的位置关系，考查了逻辑推理能力.将两个圆的方程相减可得相交弦所在直线方程为a2—(2＋2a)x—(2＋2b)＋1＝0,由题意可知，直线过圆(x＋1)2＋(y ＋1)2＝4的圆心(—1,—1),则代入直线方程，化简可得a2＋2a＋2b＋5＝011．在平面直角坐标系xOy中，以点(1，0)为圆心且与直线mx－y－2m－1＝0(m∈R)相切的所有圆中，半径最大的圆的标准方程为A.(x－1)2＋y2＝1B.(x－1)2＋y2＝4C.(x－1)2＋y2＝2D.(x－1)2＋y2＝.【答案】C【解析】本题主要考查点线圆的位置关系、点到直线的距离公式，考查了逻辑推理能力与计算能力.由题意可知圆的半径r=,当且仅当m=1时，等号成立，此时圆的半径最大，标准方程为(x－1)2＋y2＝2，故答案为C.12．已知四棱锥SABCD的所有顶点都在同一球面上，底面ABCD是正方形且和球心O在同一平面内，当此四棱锥体积取得最大值时，其表面积等于4＋4，则球O的体积等于A.πB.πC.πD.π【答案】B【解析】本题主要考查空间几何体、球、表面积与体积，考查了逻辑推理能力与空间想象能力.由题意可知，当此四棱锥体积取得最大值时，OS垂直平面ABCD，设球的半径为R，则OS=R，底面正方形的边长AB=,则,所以，则该球的体积V= π二、填空题：共4题13．两个圆C1：x2＋y2＋2x＋2y－2＝0与C2：x2＋y2－4x－2y＋1＝0的公切线的条数是________.【答案】2【解析】本题主要考查点线圆的位置关系、两点间的距离公式，考查了分析问题与解决问题的能力.由两个圆的方程可得圆心与半径分别为C1(—1，—1),r1=2,C2(2,1),r2=2,又因为|C1C2|=<4=r1+r2,即两个圆相交，所以这两个圆的公切线的条数为214．圆x2＋(y＋1)2＝3绕直线kx－y－1＝0旋转一周所得的几何体的表面积为________. 【答案】12π【解析】本题主要考查旋转体、球的表面积与体积、直线与圆的位置关系，考查了空间想象能力. 直线kx－y－1＝0过定点(0,—1)，是圆x2＋(y＋1)2＝3的圆心，所以圆x2＋(y＋1)2＝3绕直线kx－y－1＝0旋转一周所得的几何体是半径为R=的球，所以该球的表面积S=4πR2=12π15．若直线l与平面α相交于点O，A，B∈l，C，D∈α，且AC∥BD，则O，C，D三点的位置关系是________【答案】共线【解析】本题主要考查点线面的位置关系，考查了空间想象能力.由题意，设AC、BD确定一个平面，则A、B、C、D、l均在平面内，所以点O在平面内，又点O、C、D在α内，所以两个平α、面相交，且O，C，D三点共线（公理3）.16．已知圆C1：(x－2)2＋(y－3)2＝1，圆C2：(x－3)2＋(y－4)2＝9，M，N分别是圆C1，C2上的动点，P为x轴上的动点，则|PM|＋|PN|的最小值为________【答案】5－4【解析】本题主要考查点线圆的位置关系、两点间的距离公式、对称性，考查了转化思想与逻辑推理能力.圆C1关于x轴的对称圆C3的方程为(x－2)2＋(y+3)2＝1，点M关于x轴的对称点Q在圆C3上，则|PM|＋|PN|=|PQ|＋|PN|，又|C2C3|=5,所以当点P、N、Q三点共线时，|PM|＋|PN|取得最小值为5－4三、解答题：共6题17．已知直线l1：ax＋by＋1＝0(a，b不同时为0)，l2：(a－2)x＋y＋a＝0，(1)若b＝0，且l1⊥l2，求实数a的值；(2)当b＝3，且l1∥l2时，求直线l1与l2之间的距离.【答案】(1)当b＝0时，直线l1的方程为ax＋1＝0，由l1⊥l2，知a－2＝0，解得a＝2.(2)当b＝3时，直线l1的方程为ax＋3y＋1＝0，当l1∥l2时，有解得a＝3，此时，直线l1的方程为3x＋3y＋1＝0，直线l2的方程为x＋y＋3＝0，即3x＋3y＋9＝0.故所求距离为d＝＝.【解析】本题主要考查两条直线的位置关系、平行直线间的距离公式，考查了计算能力.(1)由题意易知a－2＝0；(2)由题意可得，求出a的值，再利用两平行直线间的距离公式求解即可（利用两平行直线间的距离公式时，首先将两个方程的系数化为相等，即3x＋3y＋1＝0与3x＋3y＋9＝0）.18．如图，在直三棱柱（侧棱垂直底面）ABCA1B1C1中，A1B1＝A1C1，D，E分别是棱BC，CC1上的点(点D不同于点C)，且AD⊥DE，F为B1C1的中点.求证：(1)平面ADE⊥平面BCC1B1；(2)直线A1F∥平面ADE.【答案】(1)因为三棱柱ABCA1B1C1是直三棱柱，所以CC1⊥平面AB C.又因为AD⊂平面ABC，所以CC1⊥A D.因为AD⊥DE，CC1，DE⊂平面BCC1B1，且CC1∩DE＝E，所以AD⊥平面BCC1B1.又因为AD⊂平面ADE，所以平面ADE⊥平面BCC1B1(2)法一：因为A1B1＝A1C1，F为B1C1的中点，所以A1F⊥B1C1.又因为CC1⊥平面A1B1C1，且A1F⊂平面A1B1C1，所以CC1⊥A1F.又因为CC1，B1C1⊂平面BCC1B1，且CC1∩B1C1＝C1，所以A1F⊥平面BCC1B1.由(1)知，AD⊥平面BCC1B1，所以A1F∥A D.又因为AD⊂平面ADE，A1F⊄平面ADE，所以直线A1F∥平面AD E.法二：由(1)知，AD⊥平面BCC1B1，因为BC⊂平面BCC1B1，所以AD⊥B C.因为A1B1＝A1C1，所以AB＝A C.所以D为BC的中点.连接DF(图略)，因为F是B1C1的中点，所以DF、BB1与AA1平行且相等.所以四边形ADFA1是平行四边形.所以A1F∥A D.因为AD⊂平面ADE，A1F⊄平面ADE，所以A1F∥平面AD E.【解析】本题主要考查线面、面面平行与垂直的判定与性质，考查了逻辑推理能力与空间想象能力.(1)易证AD⊥平面BCC1B1（也可以利用面面垂直的性质定理证明），则结论可得；(2)法一：由(1)易得A1F⊥平面BCC1B1，则A1F∥A D，结论易得；法二：证明四边形ADFA1是平行四边形，即可得出结论.19．已知圆C：(x－1)2＋(y－2)2＝25，直线l：(2m＋1)x＋(m＋1)y－7m－4＝0(m∈R).(1)求证：直线l恒过定点；(2)判断直线l与圆C的位置关系；(3)当m＝0时，求直线l被圆C截得的弦长.【答案】(1)证明：直线l的方程可化为(2x＋y－7)m＋x＋y－4＝0.因为m∈R，所以解得所以直线l恒过定点A(3，1).(2)解：圆心C(1，2)，|AC|＝＝<5，所以点A在圆C内.从而直线l与圆C相交(无论m为何实数).(3)解：当m＝0时，直线l的方程为x＋y－4＝0，圆心C(1，2)到它的距离为d＝＝.所以此时直线l被圆C截得的弦长为2＝7.【解析】本题主要考查直线方程、直线与圆的位置关系、点到直线的距离，考查了转化思想与计算能力.(1) (2x＋y－7)m＋x＋y－4＝0，由m∈R，则有，求解可得结论；(2)由(1)的结论，判断|AC|与圆的半径的大小关系，即可得出结论；(3)求出圆心到直线的距离d，再由圆的垂径定理可得弦长为2.20．如图，三棱柱中，侧面为菱形，的中点为，且平面（1）证明：（2）若,，求三棱柱的高.【答案】（1）连结，则O为与的交点，因为侧面为菱形，所以，又平面，故平面，由于平面，故（2）作OD⊥BC,垂足为D,连结AD,作OH⊥AD,垂足为H,由于BC⊥AO,BC⊥OD,故BC⊥平面AOD,所以OH⊥B C.又OH⊥AD,所以OH⊥平面AB C.因为,所以△为等边三角形,又BC=1,可得OD=，由于，所以，由OH·AD=OD·OA,且，得OH= 又O为B1C的中点,所以点B1到平面ABC的距离为,故三棱柱ABC-A1B1C1的高为【解析】本题主要考查线面、面面垂直的判定与性质、点到平面的距离，考查了逻辑推理能力与空间想象能力.(1) 连结，则O为与的交点，根据题意，证明平面，则可得结论；(2) 作OD⊥BC,垂足为D,连结AD,作OH⊥AD,垂足为H,易得OH⊥平面AB C，又O为B1C的中点,所以点B1到平面ABC的距离为2OH，求解可得结论.21．已知m∈R，直线l：和圆C：.（1）求直线l斜率的取值范围；（2）直线l能否将圆C分割成弧长的比值为的两段圆弧？为什么？【答案】（1）直线的方程可化为，直线的斜率，因为，所以，当且仅当时等号成立.所以，斜率的取值范围是.（2）不能.由（1）知的方程为，其中.圆的圆心为，半径.圆心到直线的距离.由，得，即.从而，若与圆相交，则圆截直线所得的弦所对的圆心角小于.所以不能将圆分割成弧长的比值为的两段弧【解析】本题主要考查直线的斜率、直线与圆的位置关系、点到直线的距离公式，考查了逻辑推理能力与计算能力.(1)易得直线的斜率，由易得结论；(2) 由（1）知的方程为，其中，由题意可得圆截直线所得的弦所对的圆心角等于，即圆心到直线l的距离等于，则计算可得结论.22．已知边长为4的菱形中，.将菱形沿对角线折起得到三棱锥，设二面角的大小为.（1）当时，求异面直线与所成角的余弦值；（2）当时，求直线与平面所成角的正弦值.【答案】由题意可知二面角的平面角为，即.（1）当时，即，分别取，的中点，，连结，，，∵，，∴为异面直线与所成的角或其补角，在△中，，，，∴，即异面直线与所成角的余弦值为.（2）当时，即，由题意可知平面，△为等边三角形，取的中点，则有平面，且，即直线与平面所成的角为，∴，即直线与平面所成角的正弦值为【解析】本题主要考查折叠问题、线面、面面垂直的判定与性质、二面角、直线与平面所成的角，考查了逻辑推理能力与空间想象能力. 由题意可知二面角的平面角为，即，(1) 分别取，的中点，，连结，，，易知为异面直线与所成的角或其补角，在△中，易求结果；(2) 由题意可知平面，△为等边三角形，取的中点，则有平面，且，即直线与平面所成的角为，求解即可.。

2016-2017学年山西省晋中市平遥中学高二（下）期中英语试卷(J)副标题一、阅读理解（本大题共12小题，共4.0分）ALand Art，sometimes referred to as Earth Art or Earthworks，is a form of art which involves using physical landscapes to create art，taking art out of the museum and into the outside world．Modern Land Art movement really got going in the 1960s when American artists began creating Land Art on a large scale．Today，works of modern Land Art can be seen all over the world，sometimes right alongside much older pieces of Land Art created by people who lived thousands of years ago．Land Art，which is not necessarily unchangeable，can take a number of forms．For examples，in 1970Robert Smithson created the Spiral Jetty（螺旋状防波堤），made of a collection of stones and mud，in the Great Salt Lake．The American artist made a large jetty n a spiral shape which sticks out into the waters of the lake．Reshaping the landscape is a common characteristic of Land Art，which can be created by moving parts around．People can also add things to the environment to create Land Art，like salt，which is added to the Spiral Jetty．It is possible to use plants．In all cases，Land Art is immovable．Land Art is designed to gradually form，change，and eventually decay（衰落）．That's one of the biggest differences between Land Art and most of the art one sees in the museums．Some works of art can exist only for a few hours or days．Others are exposed to rain and wind so that they develop and decay over time，which is part of the attractiveness in the eyes of the artists．1.What do we know about Robert Smithson？______A. He is a great creative artist．B. He lives near the Great Salt Lake．C. He made the most famous Land Art．D. He was a pioneer in creating Land Art．2.One of the unique characteristics of Land Art lies in ______ ．A. it shows the extreme beauty of natureB. it develops and decays gradually over timeC. it combines the landscapes around completelyD. it offers the artists a chance to get close to nature3.What is the passage mainly about？______A. Works of Land Art．B. History of Land Art．C. Changes of Land Art．D. Introduction of Land Art．【答案】【小题1】A 【小题2】B 【小题3】D【解析】1．A．细节理解题．根据第二段For examples，in 1970Robert Smithson created the Spiral Jetty（螺旋状防波堤），made of a collection of stones and mud，in the Great Salt Lake可知Robert Smithson是一位伟大的创意艺术家；故选A．2．B．细节理解题．根据文章Land Art is designed to gradually form，change，and eventually decay（衰落）．That's one of the biggest differences between Land Art and most of the art one sees in the museums可知土地艺术的独特之处在于它的发展和随着时间逐渐衰减；故选B．3．D．主旨大意题．根据文章Land Art，sometimes referred to as Earth Art or Earthworks，is a form of art which involves using physical landscapes to create art，taking art out of the museum and into the outside world可知文章主要讲的是介绍土地艺术；故选D．本文属于说明文阅读，作者通过这篇文章主要向我们描述了土地艺术的历史和起源等相关信息．考察学生的细节理解和推理判断能力，做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确的选择．在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．BIf you have a chance to go to Finland，you will probably be surprised to find how"foolish"the Finnish people are．Take the taxi drivers for example．Taxis in Finland are mostly high-class Benz（奔驰）with a fare of two US dollars a kilometer．You can go anywhere in one，tell the driver to drop you at any place，say that you have some business to attend to，and then walk off without paying your fare．The driver would not show the least sign of anxiety．The dining rooms in all big hotels not only serve their guests，but also serve outside diners．Hotel guests have their meals free，so they naturally go to the free dining rooms to have their meals．The most they would do to show their good faith is to wave their registration card to the waiter．With such a loose check，you can easily use any old registration card to take a couple of friends to dine free of charge．The Finnish workers are paid by the hour．They are very much on their own as soon as they have agreed with the boss on the rate（价钱）．From then on they just say how many hours they have worked and they will be paid accordingly（相地）．With so many loopholes（漏洞）in everyday life，surely Finland must be a heaven to those who love to take"petty advantages"．But the strange thing is，all the taxi passengers would always come back to pay their fare after they have attended to their business；not a single outsider has ever been found in the free hotel dining rooms．And workers always give an honest account of the exact hours they put in．As the Finns always act on good faith in everything they do，living in such a society has turned everyone into a real"gentleman"．In a society of such high moral practice，what need is there for people to be on guard against others？4.While taking a taxi in Finland，______ ．A. a passenger can never be turned down by the taxi driver wherever he wants to goB. a passenger pays two US dollars for a taxi rideC. a passenger can go anywhere without having to pay the driverD. a passenger needs to provide good faith demonstration before they leave withoutpaying5.We know from the passage that big hotels in Finland ______ ．A. provide meals for only those who live in the hotelsB. provide meals for any dinersC. provide free wine and charge for foodD. are mostly poorly managed6.Which of the following is NOT true according to the passage？______A. The workers in Finland are paid by the hour．B. The bosses in Finland are too busy to check the working hours of their employees．C. The workers are always honest with their working hours．D. The workers and their bosses will make an agreement in advance about the pay．7.It can be concluded that ______ ．A. Finnish people are not smart enough in daily lifeB. Finland has been a good place for cheatsC. the Finnish society is of very high moral levelD. all the Finns are rich．【答案】【小题1】A 【小题2】B 【小题3】B 【小题4】C【解析】4．A．细节理解题．根据文章You can go anywhere in one，tell the driver to drop you at any place，say that you have some business to attend to，and then walk off without paying your fare可知在芬兰坐出租车，乘客是不会出租车司机被拒绝的无论他想去哪里；故选A．5．B．细节理解题．根据第三段Hotel guests have their meals free，so they naturally go to the free dining rooms to have their meals可知芬兰的大酒店提供食物为任何人；故选B．6．B．推理判断题．根据文章From then on they just say how many hours they have worked and they will be paid accordin gly可知不是芬兰的老板太忙没有时间检查工人的工作时间，而是两者相互信任；故选B．7．C．细节理解题．根据最后一段As the Finns always act on good faith in everything they do，living in such a society has turned everyone into a real"gentleman"可知芬兰社会具有很高的道德水平；故选C．文章描述了芬兰社会中一些在我们看来的奇怪的现象，从反面解释了芬兰社会很高的道德标准．考察学生的细节理解和推理判断能力，做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确的选择．在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．CIt was a dark，wet November morning．It seemed like it would take a million years to get to summer again．I thought bears have got it right----what a perfect idea to sleep through the worst part of the year and wake up when spring comes!"Want some words of affirmation（肯定）？"a coworker，seeing my mood，kindly suggested．"You don't think they would cheer you up？""Today？No．"I shook my head．"I used to think so too，"he said，"until I realized the effect my words had on a certain person．Well，it was someone I knew pretty well．I have to say I reated him rather badly．""You？But you are always so positive!How did you treat him badly？""I told him I did not like anything about him，really．I told him I did not even like his name．In fact，it wasn't only what I said．I also did pretty bad things to him．When he was hungry，I did not give him the chance to eat proper food．When he felt like doing something fun，I said to him that he was being childish and having fun was not productive （有成果的）．And worst of all，when he was sick and needed care，I did not care．I told him to get up and get to work．And when he did，I never told him he did good work．You could say I was ashamed of him，"he said．"I wanted to get rid of him because he just wasn't good enough for me---but couldn't．""But that was heartless!"He nodded．"Then one day it all changed．I stood there in front of the bathroom mirror one morning．I saw the dark circles under his eyes，I saw the excess （过量的）weight．I saw the hair that needed cutting．And I saw the eyes that once had looked at the world eagerly．Now they were so sad and tired．And there and then I realized he deserved better．So I told the man I had disliked for so many years that he was a good person after all．"My jaw （下巴）dropped．I looked at him---full of positive energy，in good shape，always ready to encourage others．"Wow…"He winked （眨眼）at me．"So how about having a little positive conversation with the bathroom mirror？The person in there has the greatest effect on you!"8.The first paragraph implies that ______ ．A. the author felt frustrated that morningB. the weather in November was the worst in a yearC. the author didn't enjoy his work environmentD. the author always felt bad in winter9.The author's coworker used to be a person who ______ ．A. was very proud of himselfB. treated people differentlyC. worked hard to keep fitD. criticized himself a lot10.Which paragraph gives a clue about who the person that a author's coworker treated badlywas？______A. Paragraph 4．B. Paragraph 8．C. Paragraph 6．D. The last paragraph．11.What does the author's coworker suggest the author do？______A. Be helpful to those in need．B. Be confident in the face of difficulty．C. Be positive about himself．D. Be kind to those who make mistakes．【答案】【小题1】A 【小题2】D 【小题3】B 【小题4】C【解析】8-11 ADBC8．A 推理判断题，根据It seemed like it would take a million years to get to summer again．似乎它需要一百万年的时间才到夏天．这里用到了一个虚拟语气，冬天代表着寒冷，也说明作者的心情不好．故选A．9．D细节理解题，根据第6段的内容"I told him I did not like..""I told him I did not even like""Ialso did pretty bad things""I did not give him the chance"从使用的否定以及like词来看，作者是带有批判性，而且是有很多的看法，所以答案是选D criticized himself a lot 对他批评很多．故选D．10．B细节理解题，根据第8段的描述"I stood there in front of the bathroom mirror one morning．有一天我站在卧室的镜子前"说明以下的内容是对着镜子说话的，也就是对他自己说话．故选B．11．C细节理解题，根据"I looked at him---full of positive energy，"和"So how about having a little positive conversation with the bathroom mirror"两句都出现了positive energy，说明作者会积极地面对．故选C．这是一篇人物故事类阅读．主要讲述了作者通过和同事的对话，明白了需要振作自己．本文是一个人物故事类阅读理解．题目涉及多道细节理解题，做题时结合原文和题目有针对性的找出相关语句进行仔细分析，结合选项选出正确答案．推理判断题也是要在抓住关键句子的基础上合理的分析才能得出正确答案，不要以个人的主观想象代替文章的事实，要联系上下文根据文章事实进行合乎逻辑的推理判断，切忌胡乱猜测，一定要做到有理有据．DEdmonton's Downtown Park is transformed into one huge stage for five days where artists are able to share their talents，and where people are able to celebrate and enjoythemselves．Since its beginning in 1980，the Edmonton Folk Music Festival has been commemorating （纪念）the true feeling of what folk music is all about and that's the traditional togetherness （友爱）that is felt when people gather to share stories and feelings through song．This year will be the sixth year when volunteer Riedel will be offering up her time to the festival．"People coming off a busy spring and summer have a moment of relaxation，"Riedel said．"It's really easy to relax，and it's great seeing family and friends have fun together．"These families and friends come from all different kinds of musicaltastes．People who take pleasure in Blues are there，so are people who loveBluegrass．This festival does its best to develop everyone's musical interests．With so many years of experience，the festival has become a well-oiled machine，and does whatever it can to make attendees feel as comfortable as possible．There are free water stations throughout the venue （举办地）for people to fill up their travel cups．When people buy food，reusable dishes are given a $2 plate fee，but that is returned when the plate is brought back．The festival has completely sold out of tickets，and in record time．But with big names such as Van Morrison and Jakob Dylan，it's easy to see how that was going tohappen．There is no parking area during the festival，so using the Park & Ride system or Edmonton Transit is highly recommended．A bike lock-up area is provided and will be available Thursday until Sunday one hour before the gates open until 45 minutes after the gates close．The Edmonton Folk Music Festival begins on Wednesday，Aug.4 with Van Morrison playing the special donation fund concert，and will finish up on Sunday，Aug.8．12．The Edmonton Folk Music Festival is held mainly to ______A．gather people with different musical tastesB．collect old stories of folk musicC．exhibitive good voices of great talents in folk musicD．remind people of the real sense of folk music13．Which of the following is TRUE according to the passage？______A．It costs people a little to fill up their cups from water stations．B．It's hard for people to appreciate Blues．C．Riedel has volunteered for the festival for at least 5years．D．People have to pay $2 for a plate of food．14．We can learn from the passenger that ______A．the Edmonton Folk Music Festival is well organizedB．people can get tickets easily for the festivalC．driving one's own car to the festival is highly recommendedD．bikes are available at the festival from Wednesday to Sunday15．What would be the best title for the passage？______A．Folk Music of BluesB．Edmonton's Downtown ParkC．Festival for Family GatheringD．One Festival for All．【答案】DCAD【解析】12．D．细节理解题．根据"Since is beginning in 1980，the Edmonton Folk Music Festival has been commemorating（纪念）the true feeling of what folk music is all about and that's the traditional togetherness（友爱）that is felt when people gather to share stories and feelings through song．"可知埃德蒙顿民间音乐节主要举办是为了提醒人们民间音乐的真正意义；故选D．13．C．细节理解题．根据第二段This year will be the sixth year when volunteer Riedel will be offering up her time to the festival可知Riedel自愿参加节日至少5年；故选C．14．A．细节理解题．根据文章With so many years of experience，the festival has become a well-oiled machine，and does whatever it can to make attendees feel as comfortable as possible可知这个音乐节是如此的出色以至于被人们推荐，故A正确．15．D．主旨大意题．根据第一段Edmonton's Downtown Park is transformed into one huge stage for five days where artists are able to share their talents，and where people are able to celebrate and enjoy themselves可知文章主要介绍的是Edmonton Folk Music Festival的历史和起源的相关信息，所以选D本文属于说明文阅读，作者通过这篇文章主要向我们描述了Edmonton Folk Music Festival考察学生的细节理解和推理判断能力，做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确的选择．在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．二、阅读七选五（本大题共5小题，共1.0分）As we all know，different countries have different cultures．The cultures of the East and the West really distinguish each other a lot．（16）______The origin of the eastern cultures is mainly from two countries：hina and India．Both of the two cultures are fostered by rivers-the Yellow River in China and the Hindu River in India．（17）______ Then in Tang Dynasty of China，the Chinese culture gradually went overseas to Japan，mixed into the Japanese society and shaped the Japanese culture nowadays．Though a bit different from the Chinese one，it belongs to the same system．When the two mother rivers gave birth to the Eastern culture，another famous culture was brought up on the Mesopotamian Plain-the Mesopotamian Civilization．This civilization later on developed into the cultures of Ancient Greece and Ancient Rome．（18）______ Like the Chinese culture，the European one also crossed waters．When the British settled down in America，their culture went with them over the Atlantic Ocean．So the American culture doesn't distinguish from the European one a lot．（19）______ ake the language system for example．In the East，most languages belong to the pictographic language while the Western languages are mostly based on the Latin system．Other causes like human race difference counts as well．But what's more，due to the far distance and the steep areas between the East and West，the two cultures seldom communicate until recent centuries．So they grew up totally in their own ways with almost no interference （干扰）from the other．The differences are everywhere．（20）______ But different cultures make the world of 21st century more colorful．The cultural gap should not be the obstacle （障碍）to the civilization of human being．It ought to be the motivation of our going farther．A．Let us work together to keep a variety of culture．B．And these two are well-known as the base of the European culture．C．One important thing is to learn about other cultures．D．They helped the two cultures develop for centuries and form their own styles．E．They are obvious and affect people's ways of thinking and their views of the world．F．At the same time，some other differences add to the cultural differences．G．This is because the culture systems are two separate systems on the whole．12. A. A B. B C. C D. D E.E13. A. A B. B C. C D. D E.E14. A. A B. B C. C D. D E.E15. A. A B. B C. C D. D E.E16. A. A B. B C. C D. D E.E【答案】【小题1】G 【小题2】D 【小题3】B 【小题4】F 【小题5】E 【解析】16-20GDBFE16．G文章衔接题．根据上文The cultures of the East and the West really distinguish each other a lot．可知东方和西方的文化真的很不同．G项：This is because the culture systems are two separate systems on the whole．这是因为这两个文化系统总体上是两个独立的系统．符合文意，故选G．17．D联系上文题．根据上文Both of the two cultures are fostered by rivers-the Yellow River in China and the Hindu River in India．可知这两种文化发源于中国的黄河和印度的印度河．D项：They helped the two cultures develop for centuries and form their own styles．他们帮助两种文化发展了几个世纪，形成了自己的风格．符合文意，故选D．18．B语境辨析题．根据上文This civilization later on developed into the cultures of Ancient Greece and Ancient Rome．可知这种文明后来发展成为古希腊和古罗马的文化．B项：And these two are well-known as the base of the European culture．这两种文化作为欧洲文化的基地而出名．符合文意，故选B．19．F归纳总结题．根据下文可知，由于地域上的不同和其他差异，引起了文化差异．F 项：At the same time，some other differences add to the cultural differences．同时，一些其他的差异增加了文化差异．符合文意，故选F．20．E语境辨析题．根据上句The differences are everywhere．可知差异无处不在．E项：They are obvious and affect people's ways of thinking and their views of the world．它们是显而易见的，影响着人们的思维方式和他们对世界的看法．符合文意，故选E．本文主要介绍了东方和西方的文化真的很不同，在总体上它们是两个独立的系统．由于一些其他差异，导致了文化差异，而这种差异无处不在，它们是显而易见的，影响着人们的思维方式和他们对世界的看法．在答题中，应首先略读各小题，了解一下大致意思，然后把几个选项含义理解透，尤其注意意思相近，表达有交叉的选项之间的区别．特别注意文章上下文的串联结构．然后再细读题目，选出正确答案．答题时可以把含义相近的几个选项轮流填入同一处位置，反复阅读，反复体会，找出最佳选项，对于实在没有把握的小题可以留待最后完成．三、完形填空（本大题共20小题，共1.0分）Years ago，I worked at the Ringling Brothers Barnum & Bailey Circus．One day，as I was passing the elephants，I suddenly stopped，(18) by the fact that these huge creatures were being held by only a small rope tied to their front legs．It was (19) that they could，at any time，break free，(20) strangely enough，they didn't．I asked a trainer the (21) for this．He said，"When they were very young，we used the (22) sizerope，and it was strong enough to hold them．As they grow up，they believe the rope can (23) hold them，so they never try．" Like the elephants，how many of you believe you cannot do a thing，simply because you (24) once before？Do you often tell (25)"I cannot dance"or"I'm not good at math"？These are (26) of self limiting beliefs．You must realize you're (27) for them．A limiting belief that says you're poor at math may have (28) as a reaction to the embarrassing experiences related to math，or the remarks made by someone important to you which (29) you．The cool thing is that because you create the (30) you can choose to change it!Here is how：First，(31) it with"I am good at math"．Once you change your (32)，your subconsciousness （潜意识）will make this (33) by driving you to act．That might be to take a math course or to go online (34) help，etc．Gradually you'll really see your math skills are (35)．This is such a simple process that you can (36) it today．Don't be like the poor elephants and make your life (37) in a place because of a limiting belief you developed years ago．17. A. excited B. confused C. discouraged D. worried18. A. impossible B. doubtful C. uncertain D. obvious19. A. but B. or C. and D. so20. A. case B. result C. reason D. choice21. A. same B. bigger C. smaller D. different22. A. narrowly B. almost C. still D. hardly23. A. did B. failed C. tried D. succeeded24. A. yourself B. others C. your teacher D. your partner25. A. causes B. stories C. results D. examples26. A. conscious B. onest C. responsible D. depended27. A. stopped B. referred C. changed D. originated28. A. interested B. disappointed C. bored D. inspired29. A. belief B. experience C. embarrassment D. remark30. A. represent B. compare C. mix D. replace31. A. action B. thought C. aim D. plan32. A. come true B. run out C. on guard D. keep cool33. A. at B. by C. for D. in34. A. improved B. judged C. realized D. recognized35. A. finish B. continue C. keep D. begin36. A. involved B. stuck C. unfinished D. changed【答案】【小题1】B 【小题2】D 【小题3】A 【小题4】C 【小题5】A 【小题6】C 【小题7】B 【小题8】A 【小题9】D 【小题10】C 【小题11】D 【小题12】B 【小题13】A 【小题14】D 【小题15】B 【小题16】D 【小题17】B 【小题18】A 【小题19】D 【小题20】B 【解析】21-25 BDACA 26-30 CBADC 31-35 DBADB 36-40 DBADB21．B 考查形容词辨析．A．excited 激动的；B．confused 困惑的；C．discouraged 泄气的；D．worried 担心的；此处要表达的是对大象被一根绳子拴住的情况感到困惑．答案选B．22．D 考查形容词辨析．A．impossible 不可能的；B．doubtful 疑惑的；C．uncertain 不确定；D．obvious 明显的；对于后面的情况是显而易见的，句式It's obvious that…．．答案选D．23．A 考查连词辨析．这儿明显是表示转折的含义．答案选A．24．C考查名词辨析．句意上我问驯兽员这种现象的原因，有与介词for的搭配．答案选C．25．A 考查形容词辨析．句意上从小大象就是用这根绳子拴住的，故应该是the same．答案选A．26．C 考查副词辨析．句意上随着大象长大，它们还是认为绳子可以拴住它们．A．narrowly 狭窄地；B．almost 几乎；C．still 仍然；D．hardly 几乎不．答案选C．27．B 考查动词辨析．根据"how many of you believe you cannot do a thing，simply because you once before？"推断只是因为你曾经失败过所以你才认为你做不好一件事．答案选B．28．A 考查代词辨析．接着上一题应该还是问你自己．答案选A．29．D 考查名词辨析．句意上在我们生活中也有类似的事例发生．A．causes 缘由；B．stories 故事；C．results 结果；D．examples 事例．答案选D．30．C 考查形容词辨析．结合上一句在生活中有许多这样的事例，而我们自己该对此负责．搭配上，be responsible for…．答案选C．31．D 考查动词辨析．这儿要表示的是这种limiting belief 来自于我们曾经有的体验，originate表示源自于…．答案选D．32．B 考查动词辨析．与上句中的embarrassing experiences相对应．A．interested 有趣的；B．disappointed失望的；C．bored 厌烦枯燥的；D．inspired 激励的．答案选B．33．A 考查名词辨析．A．belief 想念，想法；B．experience 经验，经历；C．embarrassment 尴尬；D．remark 评价，评论．这段的开头就出现了belief．答案选A．34．D 考查动词辨析．这儿明显是接着上面的如何去做，首先就是转变观念．A．represent 代表；B．compare 比较；C．mix 混合；D．replace 取代．答案选D．35．B 考查名词辨析．这句中有单词subconsciousness，对应的就是想法---thought．答案选B．36．D 考查短语辨析．A．come true 实现；B．run out 用光，耗尽；C．on guard 保卫；D．keep cool 保持冷酷；make …come true．答案选A37．B 考查介词辨析．与help搭配用for．答案选C．38．A 考查动词辨析．A．improved．改善，提高；B．judged 判断；C．realized 实现；D．recognized 识别；此处为improve skills．答案选A．39．D 考查动词辨析．此处作者建议从现在开始．答案选D．40．B 考查动词辨析．与后面的limiting相对应，不要像大象一样困在一个地方．A．involved 牵扯，涉及；B．stuck 陷入；C．unfinished 未完成的；D．changed 改变．答案选B．本文介绍了作者通过对在马戏团看见大象脚上即便是拴有一根小的绳子也不去挣脱的现象的理解来阐述生活中我们要是想取得成功就不能被曾经的失败给拴住的道理．近几年高考试题中的完形填空有新的变化，试题所涉及的知识面不断拓宽，综合难度不断提高．做完型填空首先要通读全文，了解大意．一篇完形填空的文章有许多空格，所以，必须先通读一至两遍，才能大概了解文章的内容．千万不要看一句，做一句．其次要逐句分析，前后一致．选择答案时，要考虑整个句子的内容，包括搭配、时态、语法等．答案全部填完后，再通读一遍文章，检查是否通顺流畅了，用词得当，意思正确．四、语法填空（本大题共1小题，共1.0分）37.One day an elderly teacher took a walk through a forest，with a pupil by his side．Suddenlyhe （41）______ （stop）and pointed to four plants close at hand．The first was just beginning to appear slowly above the ground，the second had rooted itself pretty well into the earth，the third was a small short tree，while the fourth was （42）______ full-sized tree．The tutor said to his young （43）______ （company），"Pull up the first plant．"The boy did so eagerly，（44）______ （use）only his fingers．"Now，pull up the second．"The youth obeyed （45）______ found that the task was （46）______ （difficult）．"Do the same（47）______ the third，"he urged．The boy had to use all his strength to uproot it．"Now，"said the instructor，"try your hand with the fourth．"The pupil put his arms around the trunk of the tall tree and couldn't even shake （48）______ leaves．"This，my son，is just （49）______ happens with our bad habits．When they are young，we can remove them easily；but when they are old，it's hard to pull them out of the ground，（50）______ we pray and struggle ever so sincerely!"【答案】【小题1】stopped【小题2】a【小题3】companion【小题4】using【小题5】but【小题6】more difficult【小题7】with【小题8】its【小题9】what【小题10】though/although【解析】41．stopped 考查动词的时态．此处表示过去的动作用一般过去时．42．a 考查冠词．tree是可数名词，单数形式前加不定冠词a表示泛指．43．companion 考查名词．his是形容词性物主代词，后接名词，companion意为"伙伴"．44．using 考查现在分词．The boy与use之间是主谓关系，此处是现在分词作伴随状语．45．but 考查连词．前后两个分句之间是转折关系，用连词but．46．more difficult 考查形容词的比较级．根据句意：但是发现这个任务更难．用形容词比较级．47．with 考查介词．the same with意为"同…一样"，是固定搭配．48．its 考查代词．此处指树的叶子用its．49．what 考查连词．分析句子结构，表语从句中缺少主语，用what作主语，同时引导表语从句．50．though/although 考查连词的用法．根据句意：虽然我们每天那么真诚地祈祷和奋斗．用连词though/although引导让步状语从句．一天，一位老教师和他的学生穿过森林，突然停下来，指着手边的四棵树分别要学生拔起来．第一棵刚露出地面，第二棵已经扎根了，第三棵是一棵小矮树，第四棵是参天大树．学生前三棵树拔了出来，但第四棵用尽力气连树叶都不能摇动．因此，老师说：这就像我们身上的坏习惯一样，当它们幼小时，我们很容易改掉，但当它们长大了时，尽管我们真心实意地祈祷、努力挣扎，但是已经积习难改了．在一篇200词左右的语篇（短文或对话）中留出10处空白，部分空白的后面给出单词的基本形式，要求考生根据上下文填写空白处所需的内容或所提供单词的正确形式，所填写词语不得多于3个单词．要做好语法填空题，理解短文是解题的前提，扎实的词汇、句型和语法知识是基础，英语国家的背景知识是必要的补充．考生须灵活运用语法知识，如单词词性、单词时态、名词单复数、连接词、代词、冠词等判断各空白处应填写的内容．答完后，还要通读全文，核对所填单词形式是否正确，是否符合语境．五、短文改错（本大题共1小题，共1.0分）38.文中共有10处语言错误，每句中最多有两处，每处错误仅涉及一个单词的增加，删除或修改．增加：在缺词处加一个漏字符号（^），并在其下面写出该加的词．除：把多余的词用斜线（\）划掉．修改：在错词下划一横线，并在该词下面写出修改后的词．My name is Ann．I've been in China in a few years．With the help of Li Hua，a good friend of mine，I've been used to live in China．Li Hua，like many girls，are beautiful and lively．We became friends after we meet each other a few years ago．Although her English isn't easy to understand，but we enjoy chatting and we usually talk a lot about our favorite books．We're both sur prised that Chinese culture or American culture are so differently．Now we are planning nice party for next Sunday．There，I will introduce Li Hua to my friends，one of who has been to China several time．【答案】My name is Ann．I've been in China in a few years．With the help of Li Hua，a good friend of mine，I've been used to live in China．Li Hua，like many girls，are beautiful and lively．We became friends after we meet each other a few years ago．Alt hough her English isn't easy to understand，but we enjoy chatting and we usually talk a lot about our favorite books．We're both surprise d that Chinese culture or American culture are so differently．Now we are planning∧nice p arty for next Sunday．There，I will introduce Li Hua to my friends，one of who has been to China several time．详解：1．in改为for 考查介词．for意为"（表示一段时间）达，计"，in意为"（表示将来）在…以后"，此处应是前者．2．live改为living 考查动名词．be used to doing sth．意为"习惯做某事"，to是介词，后接动词时用动名词形式．3．are改为is 考查主谓一致．主语Li Hua是单数形式，谓语动词也应用单数形式is．4．meet改为met 考查动词时态．此处讲述的是过去的事情，要用一般过去时态．5．去but 考查连词．在英语中，两个分句要用连词连接，在已经有although连接句子的情况下，but是多余的，要去掉．6．or改为and 考查连词．Chinese culture和American culture是并列关系，根据谓语动词are，两者要用连词and连接．7．differently改为different 考查形容词．be动词后用形容词作表语．8．加a 考查冠词．party是可数名词，单数形式前加不定冠词a表示泛指．9．who改为whom 考查定语从句．分析句子结构可知这是一个定语从句，先行词friends 在从句中作介词of的宾语，用关系代词whom．10．time改为times 考查名词复数．此处time意为"次数"，是可数名词，其前有several 修饰时要用复数形式．。

山西省平遥中学2017-2018学年度高二第二学期基础知识清单25第 2 页第 3 页4．Now let's ________________our business.There is not too much time left.5．I promised to go to the party with Jane and I can't______her__________.6．You see，they are twins and I want to find a good way to__________them __________.[答案]tell；apartB．用方框内所给短语填空as long as，or rather，let alone，in conclusion，that is to say1．In those days, children couldn't have enough to eat, __________ going to school.2．He's a local government administrator，______________，a civil servant.3．Learning foreign languages calls for your memory，time，patience and emotions.________________，it is not a simple thing.4．He worked late last night，________________，early this morning.5．One's life is valuable ________________one tries to create value to the society.Ⅲ.句型训练(完成句子)1．The young man standing there ____________________.站在那里的那个年轻人很难对付。

山西省平遥中学校2018-2019学年高二数学下学期第二次月考试题理一、选择题(本大题共12小题,每小题5分,共60分) 1.设1ln )(2+=x x f ,则)2(f '等于（ ）A.54 B.52 C.51 D.53 2.在曲线23-+=x x y 的切线中,与直线14=-y x 平行的切线方程是( ) A.04=-y x B.044=--y x C.022=--y x D.04=-y x 或044=--y x 3.函数2)1()(32+-=x x f 的极值点是( )A.1=xB.1-=xC. 1=x 或1-或0D.0=x 4.设x x y ln 82-=，则此函数在区间(0,41)和(21,1)内分别( ) A.单调递增,单调递减 B.单调递增,单调递增 C.单调递减,单调递增 D.单调递减,单调递减 5.已知)5)(4)(3)(2)(1()(-----=x x x x x x x f ，则)0(f '为( ) A.5- B.-120 C.120 D.5 6.方程0109623=-+-x x x 的实根个数是( )A.3B.2C.1D.0 7.若函数a x x x f --=3)(3在区间[]3,0上的最大值、最小值分别为M 、N ,则N M -的值为( )A.2B.4C.18D.20 8.已知)1(2)(2f x x x f '+=，则)0(f '等于( )A.0B.4-C.2-D.29.函数x ex f x-=)(，则( )A.仅有极小值e 21 B.仅有极大值e21C.有极小值0,极大值e21D.以上皆不正确10.设)(x f '是函数)(x f 的导函数, )(x f y '=的图象如右图所示,则)(x f y =的图象最有可能是( )11．若函数y ＝f (x )的图象上存在两点，使得函数的图象在这两点处的切线互相垂直，则称y ＝f (x )具有T 性质．下列函数中具有T 性质的是( )A ．y ＝sin xB ．y ＝ln xC ．y ＝e xD ．y ＝x 312.已知1)6()(23++++=x a ax x x f 有极大值和极小值，则a 的取值范围为( ) A.21<<-a B.63<<-a C.1-<a 或2>a D.3-<a 或6>a 二、填空题(本大题共4小题,每小题6分,共24分)13.设偶函数)(x f 在点0=x 处可导，则=')0(f _________________. 14.已知函数)(x f 是可导函数,且1)(='a f ，则ax →limax x a f a x f ----)2()2(等于__________.15.在半径为r 的半圆内作一内接梯形，使其底为直径，其他三边为圆的弦，则梯形的面积最大时，其梯形的上底长为____________.16.函数223)(a bx ax x x f +++=在1=x 时有极值10，那么a 、b 的值为__________. 三、解答题(共16分)17.已知函数f （x ）=ln - ax 2+x （a>0）， （1）讨论函数f （x ）的极值点的个数；（2）若f （x ）有两个极值点x 1，x 2，证明：f （x 1）+f （x 2）＞3-4ln2．2018-2019学年度高二第二学期考试理数参考答案与评分标准二、填空题13、0 14、3 15、r 16、a=4 b=-11三、解答题17解：（1）由，得：， (2)a＞0时，△=1-8a≤0即时，f′（x）≤0，f（x）在（0，+∞）是减函数，f（x）无极值点． (4)当时，△=1-8a＞0，令f′（x）=0，得当x∈（0，x1）和x∈（x2，+∞）f′（x）＜0，x∈（x1，x2）时，f′（x）＞0，∴f（x）在x1取得极小值，在x2取得极大值，所以f（x）有两个极值点．综上可知：当时，f（x）无极值点；当时，f（x）有两个极值点． (6)（2）证明：由（1）知，当且仅当a∈（0，）时，f（x）有极小值点x1和极大值点x2，且x1，x2是方程2ax2-x+1=0的两根，∴，，........................................................................ . (8)== =，..................................................... (12)设，，∴时，g（a）是减函数，，∴，∴f（x1）+f（x2）＞3-4ln2．........................................................................ .. (16)。

山西省晋中市平遥县第二中学2018—2019学年高二数学下学期第一次月考试题理一、选择题1.物体运动的速度关于时间的方程为v=t4-3，则t=5时的瞬时加速度为(）.A。

5B。

125C。

25D.6252。

已知函数f(x）=x3+ax+4,则“a>0”是“f(x)在R上单调递增"的(）.A。

必要不充分条件 B。

充分不必要条件C.充要条件 D。

既不充分也不必要条件3。

曲线y=-在点处的切线方程为(）。

A.y=4xB.y=4x+4 C。

y=4x—4 D.y=2x—44.函数y=3x-x3的单调递增区间是（).A。

(0，+∞) B.（—∞,-1） C。

（1，+∞) D。

（—1,1)5.设函数f（x)在定义域内可导,y=f（x）的图象如下图所示，则导函数y=f'（x）的图象可能是(）。

6.设曲线f（x）=在点处的切线与直线x-ay+1=0平行,则实数a等于(）.A。

-2 B.-1 C。

D。

27。

若直线l1：x+ay-1=0与l2:4x—2y+3=0垂直,则积分（x3+sin x—5)d x的值为（）.A。

6+2sin 2 B。

—6—2cos 2 C.20 D.—208.函数y=x cos x—sin x在下面哪个区间内是增函数（）.A. B。

. C (π,2π) D.(2π,3π)9。

函数f(x)=x3+ax—2在区间[1,+∞)上是增函数,则实数a的取值范围是（）.A。

[-3，+∞） B. ［3,+∞） C.（-3，+∞) D。

(-∞,-3）10.已知定义在实数集R上的函数f（x）满足f(1）=2，且f(x)的导数f’（x）在R上恒有f’(x)<1,则不等式f（x）〈x+1的解集为（)。

A.（-∞,-1）∪(1,+∞)B.（—∞，—1) C。

（-1,1) D。

(1,+∞)11。

f（x）是定义在（0，+∞）上的非负可导函数，且满足xf'（x）+f（x)≤0,对任意正数a、b,若a〈b,则必有（）。

平遥中学2016—2017学年第二学期高二期中考试英语试题(文理科)本试卷满分150分考试时间100分钟命题人：姜如心第I卷第一部分英语知识运用(共三节，满分100分）第一节阅读理解（共四篇，共15小题；每小题3分，满分45分ALand Art，sometimes referred to as Earth Art or Earthworks, is a form of art which involves using physical landscapes to create art, taking art out of the museum and into the outside world。

Modern Land Art movement really got going in the 1960s when American artists began creating Land Art on a large scale。

Today，works of modern Land Art can be seen all over the world, sometimes right alongside much older pieces of Land Art created by people who lived thousands of years ago。

Land Art, which is not necessarily unchangeable，can take a number of forms. For examples，in 1970 Robert Smithson created the Spiral Jetty （螺旋状防波堤），made of a collection of stones and mud，in the Great Salt Lake. The American artist made a large jetty in a spiral shape which sticks out into the waters of the lake。

平遥中学2018—2019学年度第二学期高二期中考试数 学 试 题（理科）本试卷满分：150分 考试时间:120分钟一. 选择题：（本大题共12小题，每小题5分） 1．设复数ii z +-=12，则=z ( ) A ．22B ．25 C ．210 D ．215 2．若()y f x ='是函数()y f x =在区间(),a b 上的导函数,且()0,x a b ∈，()04f x '=，则()()0002limh f x f x h h→-- 的值为（ ）A. 2 B 。

8 C. 4 D. 12 3．已知：()0,x ∈+∞,观察下列式子：221442,322x x x x x x x+≥+=++≥类比有()1n ax n n N x*+≥+∈,则a 的值为（ ) A 。

n n B. nC 。

2nD 。

1n +4．设函数a x a x x f +-+=34)1()(．若)(x f 为偶函数，则)(x f 在1=x 处的切线方程为 （ )A ．45-=x yB ．35-=x yC ．24-=x yD ．34-=x y5．用数学归纳法证明3)12(12)1()1(2122222222+=+++-++-+++n n n n n 时，由n=k 的假设到证明n=k+1时，等式左边应添加的式子是（ ） A ．222)1(k k ++ B ．22)1(k k ++ C ．2)1(+kD ．]1)1(2)[1(312+++k k6．从0，2，4中选一个数字，从1，3，5中选两个数字,组成无重复数字的三位数，其中奇数的个数为（ ）A ．24B ．27C ．30D ．367．甲、乙、丙、丁四位同学一起去向老师询问成语竞赛的成绩，老师说：你们四人中有2位优秀,2位良好，我现在给丁看乙、丙的成绩，给乙看丙的成绩，给甲看丁的成绩．看后丁对大家说：我还是不知道我的成绩，根据以上信息，则（ ） A ．甲、乙可以知道对方的成绩 B ．甲、乙可以知道自己的成绩 C ．乙可以知道四人的成绩 D ．甲可以知道四人的成绩 8．设函数()219ln 2f x x x =-在区间[a －1，a ＋1］上单调递减，则实数a 的取值范围是（ ) A. [－∞,2)B. （1，2］C. （0，3］D. （4，＋∞]9．已知函数f （x )的导函数为f ′（x ),且满足f (x ）=2 f ′(e )x +ln x (e 为自然对数的底数），则f ′（e ）=( ） A.1eB ．e C. -1e D ．— e10．函数()323922y x x x x =---<<有（ )A ．极大值5,极小值－27；B ．极大值5，极小值－11;C ．极小值－27，无极大值；D ．极大值5,无极小值； 11．若点P 是曲线232ln 2y x x =-上任意一点，则点P 到直线52y x =-的距离的最小值为（ ）B 。

平遥中学2016-2017学年度第二学期高一期中考试数学试题本试卷满分 150分 考试时间 120分钟 命题人 侯聪丽一、选择题（本大题共12个小题，每小题5分，共60分） 1.sin15cos15 的值是 （ ）A ．12 B ．14D2.已知向量b a ,满足2=⋅b a （ ） A ．0 B ．2 2 C ．4 D ．8 3．已知sin 0,cos 0,αα><则2α所在的象限是 ( )A ．第一象限B ．第三象限C ．第二或第四象限D ．第一或第三象限4.设,为基底向量,已知向量k -=+=-=3,2,,若D B A ,,三点共线,则实数k 的值等于（ ） A. 10 B. 10- C. 2 D. 2- 5．记cos(80),tan 80k -︒=︒那么= ( )A． C 6.设αtan 、βtan 是方程04332=++x x 的两根，且⎪⎭⎫⎝⎛-∈⎪⎭⎫ ⎝⎛-∈2,2,2,2ππβππα，则βα+的值为（ ）A ．32π-B.3πC ．323ππ-或 D ．323ππ或- 7．将函数f (x )＝sin (ωx ＋φ)的图象向左平移π2个单位．若所得图象与原图象重合，则ω的值不可能等于 ( )A ．4B ．6C ．8D ．12 8．已知函数)sin()(ϕω+=x A x f (2||,0,0,πϕω<>>∈A R x )的图象（部分）如图所示，则)(x f 的解析式是 ( ) A ．))(6sin(2)(R x x x f ∈+=ππ B ．))(62sin(2)(R x x x f ∈+=ππ C ．))(3sin(2)(R x x x f ∈+=ππ D ．))(32sin(2)(R x x x f ∈+=ππ9．设向量),25sin ,25(cos ),55sin ,55(cos ︒︒=︒︒=若t( )A ．22 B ．2 C ．1 D ．21 10．已知与为互相垂直的单位向量，向量2-=，向量λ+=且向量a 与向量b 的夹角为锐角，则实数λ的取值范围是 ( ) A.(－∞，－2)∪(－2，12) B.(12，＋∞)C.(－2，23)∪(23，＋∞) D .(－∞，12)11.定义在R 上的偶函数()f x 满足(2)()f x f x -=，且在[3,2]--上是减函数，,αβ是钝角三角形的两个锐角，则(sin )f α与(cos )f β的大小关系是（ ） A ．(sin )(cos )f f αβ> B ．(sin )(cos )f f αβ< C ．(sin )(cos )f f αβ= D ．(sin )(cos )f f αβ≥12．若在直线l 上存在不同的三个点,,A B C ，使得关于实数x 的方程02=++BC OB x OA x 有解（点O 不在l 上），则此方程的解集为 ( ) A ．{}0,1- B ．φ C ．⎭⎬⎫⎩⎨⎧--+-251,251 D ．{}1-二.填空题:(本大题共4小题,每小题5分,共20分,把答案填在答卷纸的相应位置上)13．一个扇形的面积为1，周长为4，则这个扇形的圆心角为__________． 14.已知三角形ABC 的三点顶点的C B A 、、及平面内一点P 满足=++,则ABP ∆与ABC ∆的面积比为 .15．关于函数x x x f 2cos 2sin )(-=有下列命题： ①函数)(x f y =的周期为π； ②直线4π=x 是)(x f y =的一条对称轴；③点)0,8(π是)(x f y =的图象的一个对称中心；④将)(x f y =的图象向左平移4π个单位，可得到x y 2sin 2=的图象．其中正确的序号是 .16．在△ABC 中，AD ⊥AB ，BC =1||=，则=⋅________ 三．解答题(本大题共6小题，共70分) 17．（本小题满分10分）(1)求值0026sin 34sin -0026cos 56sin（2）化简)2cos()2sin()2sin()2cos(αππααππα-⋅--⋅+-18.（本小题满分12分）已知向量),cos ,cos 3(),cos ,(sin x x b x x a =-=设函数()12f x a b =-⋅ ；(1)写出函数()f x 的单调递增区间； (2)若x ⎥⎦⎤⎢⎣⎡∈2,4ππ求函数()x f的最值及对应的x 的值； 19．（本小题满分12分）已知非零向量,1,且43)()(=+⋅-b a b a . (1)当41-=⋅b a 时,求向量与2+的夹角θ的值.20．（本小题满分12分）设函数3()sin(2)4f x x π=-（1）列表描点画出函数)(x f y =在区间],0[π上的图象；（2）根据图象写出：函数()y f x a =-在区间],0[π上有两个不同零点时a 的取值范围. 21．（本题满分12分）如下图，已知点)1 , 1(A 和单位圆上半部分上的动点B ．（1）若⊥，求向量； （2）求||+的最大值．22．（本小题满分12分） 已知向量⎪⎭⎫ ⎝⎛--=⎪⎭⎫ ⎝⎛=2cos ,2sin ,23sin ,23cos x x x x 其中⎥⎦⎤⎢⎣⎡∈ππ,2x .（13求x 的值；（2）函数)(x f ⋅=)(x f c >恒成立，求实数c 的取值范围平遥中学2016—2017学年度第二学期高一期中考试高一数学参考答案一、CBDCA ABADA BD 二、13、2 14、3115、①③ 16、3 三、17. (1)21-6分 (2) α2sin - 6分 18．解：（1）由已知得f （x ）=12a b ⋅- =x x x 2cos cos sin 3--12=-x 2sin 231cos 2122x +-=12cos 212x x --=sin(2)16x π-- ………………………..4分 由 πππππk x k 226222+≤-≤+-得：ππππk x k +≤≤+-36)(z k ∈所以f （x ）=21-⋅b a 的单调递增区间为Z k k k ∈++-],3,6[ππππ 6分 （2）由（1）知()sin(2)16f x x π=--， x ⎥⎦⎤⎢⎣⎡∈2,4ππ ,所以 65623πππ≤-≤x 故 当 262ππ=-x 时，即3π=x 时，max ()0f x = ……………………10分当6562ππ=-x 时，即2π=x 时，21)(min -=x f ……………………12分19. 解:(1)因为43)()(=+⋅-b a b a ,即4322=-b a ,21,4143= …………………… 5分1,11114)2(2=+-⋅+ ………7分又因为 212112)2(=-=⋅+⋅…………9分所以21cos θ， ……………………………11分又001800≤≤θ所以060=θ …………………12分20．解：（I ）由3()sin(2)4f x x π=-知：故函数)(x f y =的图象是21.【解】（1）依题意，)sin , (cos θθB ，πθ≤≤0（不含1个或2个端点也对）)1 , 1(=OA ，)sin , (cos θθ=OB （写出1个即可）---------2分因为⊥，所以0=⋅，即0sin cos =+θθ， 解得43πθ=，所以)22 , 22(-=.---------6分（2）)sin 1 , cos 1(θθ++=+OB OA ，22)sin 1(cos 1(||θ+++=+θ))cos (sin 23θθ++= )4sin(223πθ++=当4πθ=时，||OB OA +取得最大值，12223||max +=+=+OB OA .-----12分22．（1）),2cos 23sin ,2sin 23(cosx x x x b a --=+ ,2sin 22)2cos 23(sin )2sin 23(cos ||22x xx x x b a -=-+-=+∴…………2分……8分由.212sin ,32sin 22,3||-==-=+x x b a 即得…………4分.22],,2[ππππ≤≤∴∈x x因此.1211,127,22,62πππππ===+=x x x x 或即或 …………6分（2）,2sin 2cos 23sin sin 23cos x xx x b a -=--=⋅,2sin 32||)(2x b a b a x f -=++⋅=∴ …………8分 ,32sin 30,02sin 1,22≤-≤≤≤-∴≤≤x x x ππ ,52sin 32)(2≤-=≤∴x x f…………………10分则)(x f c >恒成立，得.5>c…………12分.5)}({max =∴x f。

平遥中学2016-2017学年第二学期高二期中考试英语试题(文理科)本试卷满分150分考试时间100分钟第I卷第一部分英语知识运用（共三节，满分100分）第一节阅读理解（共四篇，共15小题；每小题3分，满分45分ALand Art, sometimes referred to as Earth Art or Earthworks, is a form of art which involves using physical landscapes to create art, taking art out of the museum and into the outside world. Modern Land Art movement really got going in the 1960s when American artists began creating Land Art on a large scale. Today, works of modern Land Art can be seen all over the world, sometimes right alongside much older pieces of Land Art created by people who lived thousands of years ago.Land Art, which is not necessarily unchangeable, can take a number of forms. For examples, in 1970 Robert Smithson created the Spiral Jetty（螺旋状防波堤）, made of a collection of stones and mud, in the Great Salt Lake. The American artist made a large jetty in a spiral shape which sticks out into the waters of the lake. Reshaping the landscape is a common characteristic of Land Art, which can be created by moving parts around. People can also add things to the environment to create Land Art, like salt, which is added to the Spiral Jetty. It is possible to use plants. In all cases, Land Art is immovable.Land Art is designed to gradually form, change, and eventually decay（衰落）. That’s one of the biggest differences between Land Art and most of the art one sees in the museums. Some works of art can exist only for a few hours or days. Others are exposed to rain and wind so that they develop and decay over time, which is part of the attractiveness in the eyes of the artists.1. What do we know about Robert Smithson?A. He is a great creative artist.B. He lives near the Great Salt Lake.C. He made the most famous Land Art.D. He was a pioneer in creating Land Art.2. One of the unique characteristics of Land Art lies in _______.A. it shows the extreme beauty of natureB. it develops and decays gradually over timeC. it combines the landscapes around completelyD. it offers the artists a chance to get close to nature3. What is the passage mainly about?A. Works of Land Art.B. History of Land Art.C. Changes of Land Art.D. Introduction of Land Art.BIf you have a chance to go to Finland, you will probably be surprised to find how “foolish” the Finnish people are.Take the taxi drivers for example. Taxis in Finland are mostly high-class Benz （奔驰）with a fare of two US dollars a kilometer. You can go anywhere in one, tell the driver to drop you at any place, say that you have some business to attend to, and then walk off without paying your fare. The driver would not show the least sign of anxiety.The dining rooms in all big hotels not only serve their guests, but also serve outside diners. Hotel guests have their meals free, so they naturally go to the free dining rooms to have their meals. The most they would do to show their good faith is to wave their registration card to the waiter. With such a loose check, you can easily use any old registration card to take a couple of friends to dine free of charge.The Finnish workers are paid by the hour. They are very much on their own as soon as they have agreed with the boss on the rate（价钱）. From then on they just say how many hours they have worked and they will be paid accordingly（相应地）.With so many loopholes（漏洞）in everyday life, surely Finland must be a heaven to those who love to take “petty advantages”. But the strange thing is, all the taxi passengers would always come back to pay their fare after they have attended to their business; not a single outsider has ever been found in the free hotel dining rooms. And workers always give an honest account of the exact hours they put in.As the Finns always act on good faith in everything they do, living in such a society has turned everyone into a real “gentleman”.In a society of such high moral practice, what need is there for people to be on guard against others?4. While taking a taxi in Finland, _________.A. a passenger can never be turned down by the taxi driver wherever he wantsto goB. a passenger pays two US dollars for a taxi rideC. a passenger can go anywhere without having to pay the driverD. a passenger needs to provide good faith demonstration before they leavewithout paying5. We know from the passage that big hotels in Finland _________.A. provide meals for only those who live in the hotelsB. provide meals for any dinersC. provide free wine and charge for foodD. are mostly poorly managed6. Which of the following is NOT true according to the passage?A. The workers in Finland are paid by the hour.B. The bosses in Finland are too busy to check the working hours of their employees.C. The workers are always honest with their working hours.D. The workers and their bosses will make an agreement in advance about the pay.7. It can be concluded that ___________.A. Finnish people are not smart enough in daily lifeB. Finland has been a good place for cheatsC. the Finnish society is of very high moral levelD. all the Finns are richCIt was a dark, wet November morning. It seemed like it would take a million years to get to summer again. I thought bears have got it right---- what a perfect idea to sleep through the worst part of the year and wake up when spring comes!“Want some words of affirmation(肯定)?” a coworker, seeing my mood, kindly suggested. “You don’t think they would cheer you up?”“Today? No.” I shook my head.“I used to think so too,” he said, “until I realized the effect my words had on a certain person. Well, it was someone I knew pretty well. I have to say I treated him rather badly.”“You? But you are always so positive! How did you treat him badly?”“I told him I did not like anything about him, really. I told him I did not even like his name. In fact, it wasn’t only what I said. I also did pretty bad things to him. When he was hungry, I did not give him the chance to eat proper food. When he felt like doing something fun, I said to him that he was being childish and having fun was not productive (有成果的). And worst of all, when he was sick and needed care, I did not care. I told him to get up and get to work. And when he did, I never told him he did good work. You could say I was ashamed of him,” he said. “I wanted to get rid of him beca use he just wasn’t good enough for me---but couldn’t.”“But that was heartless!”He nodded. “Then one day it all changed. I stood there in front of the bathroom mirror one morning. I saw the dark circles under his eyes, I saw the excess (过量的) weight. I saw the hair that needed cutting. And I saw the eyes that once had looked at the world eagerly. Now they were so sad and tired. And there and then I realized he deserved better. So I told the man I had disliked for so many years that he was a good person after all.”My jaw (下巴) dropped. I looked at him---full of positive energy, in good shape, always ready to encourage others.“Wow…”He winked (眨眼) at me. “So how about having a little positive conversation with the bathroom mirror? The person in ther e has the greatest effect on you!”8. The first paragraph implies that .A. the author felt frustrated that morningB. the weather in November was the worst in a yearC. the author didn’t enjoy his work environmentD. the author always felt bad in winter9. The author’s coworker used to be a person who .A. was very proud of himselfB. treated people differentlyC. worked hard to keep fitD. criticized himself a lot10. Which paragraph gives a clue about who the person that a author’s coworker treated badly was?A. Paragraph 4.B. Paragraph 8.C. Paragraph 6.D. The last paragraph.11. What does the author’s coworker suggest the author do?A. Be helpful to those in need.B. Be confident in the face of difficulty.C. Be positive about himself.D. Be kind to those who make mistakes.DEdmonton's Downtown Park is transformed into one huge stage for five days where artists are able to share their talents, and where people are able to celebrate and enjoy themselves. Since its beginning in 1980, the Edmonton Folk Music Festival has been commemorating (纪念）the true feeling of what folk music is all about and that’s the traditional togetherness (友爱）that is felt when people gather to share stories and feelings through song.This year will be the sixth year when volunteer Riedel will be offering up her time to the festival. “People coming off a busy spring and summer have a moment of relaxation,” Riedel said. “It’s really easy to relax, and it’s great seeing family and friends have fun together.” These families and friends come from all different kinds of musical tastes. People who take pleasure in Blues are there, so are people who love Bluegrass. This festival does its best to develop everyone's musical interests.With so many years of experience, the festival has become a well-oiled machine,and does whatever it can to make attendees feel as comfortable as possible. There are free water stations throughout the venue (举办地）for people to fill up their travel cups. When people buy food, reusable dishes are given a $2 plate fee, but that is returned when the plate is brought back.The festival has completely sold out of tickets, and in record time. But with big names such as Van Morrison and Jakob Dylan, it’s easy to see how tha t was going to happen. There is no parking area during the festival, so using the Park & Ride system or Edmonton Transit is highly recommended. A bike lock-up area is provided and will be available Thursday until Sunday one hour before the gates open until 45 minutes after the gates close.The Edmonton Folk Music Festival begins on Wednesday, Aug.4 with Van Morrison playing the special donation fund concert, and will finish up on Sunday, Aug.8.12. The Edmonton Folk Music Festival is held mainly to _______.A. gather people with different musical tastesB. collect old stories of folk musicC. exhibitive good voices of great talents in folk musicD. remind people of the real sense of folk music13. Which of the following is TRUE according to the passage?A. It costs people a little to fill up their cups from water stations.B. It’s hard for people to appreciate Blues.C. Riedel has volunteered for the festival for at least 5years.D. People have to pay $2 for a plate of food.14. We can learn from the passenger that .A. the Edmonton Folk Music Festival is well organizedB. people can get tickets easily for the festivalC. driving one’s own car to the festival is highly recommendedD. bikes are available at the festival from Wednesday to Sunday15. What would be the best title for the passage?A. Folk Music of BluesB. Edmonton’s Downtown ParkC. Festival for Family GatheringD. One Festival for All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。

2017-2018学年度第一学期高二期中考试数 学 试 题本试卷满分150分 考试时间120分一、选择题：（本大题共12小题，每小题5分，共60分.）1. 直线y =的倾斜角为 （ ）A ．60°B ．90°C ．120°D ．不存在2．棱台不一定具有的性质是 ( )A.两底面相似B.侧面都是梯形C.侧棱都相等D.侧棱延长后都交于一点3．过点（－1，3）且垂直于直线032=+-y x 的直线方程 （ ） A ．012=-+y x B ．052=-+y xC ．052=-+y xD ．072=+-y x4．已知l =⋂⊥βαβα, 若直线m ，n 满足,m n αβ∥⊥， 则 （ ）A ．m ∥lB ．m ∥nC ．m ⊥nD ． n ⊥l 5．平行线3490x y +-=和6820x y ++=的距离是 （ ） A ．85 B.2 C ．115 D ．756． 已知三棱柱111C B A ABC - 的侧棱与底面垂直，体积为94的正三角形．若P 为底面111C B A 的中心，则PA 与平面ABC 所成角的大小为( ) A ．5π12 B ．π4 C ．π3 D ．π67．在坐标平面内，与点A(1，2）距离为1，且与点B （3，1）距离为2的直线共有（ ）A ．1条B ．2条C ．3条D ．4条8．在长方体1111ABCD A B C D -中，13AA =，4AD =，5AB =，由A 在表面到达1C 的最短行程为 （ ）A ．12B ．C ．9．某几何体的三视图如图所示，则该几何体的体积是 （ ）A ．4B ．163C ．203D ．1210．若直线 )0,0(022>>=-+b a by ax 平分圆222460x y x y +---=, 则21a b+的最小值是 （ ）A ．21 C ．3+ D ．3-11．过三点)7,1(),2,4(),3,1(-CB A 的圆交y 轴于M,N 两点，则||MN =( )A ．46B ．8C ．26D ．1012．在四面体ABCD 中，已知o CDA BDC ADB 60=∠=∠=∠，AD=BD=3,CD=2,则四面体ABCD的外接球的半径为 ( ) A ．23B ． 3C ．23D ． 3二、填空题：（本大题共4小题，每小题5分，共20分．）13. 直线a x y l +=1, b x y l +=2 将单位圆1:22=+y x C 分成长度相等的四段弧，则=+22b a ________.14. 圆锥的表面积是底面积的3倍，那么该圆锥的侧面展开图扇形的圆心角为 15. 四面体ABCD 中，所有棱长都相等，O 是A 在平面BCD 内的射影，E 是BC 的中点，则异面直线OE 与BD 所成的角为16. 已知直线l ：30mx y m ++=与圆2212x y +=交于,A B 两点，过,A B 分别做l 的垂线与x 轴交于,C D 两点，若AB =，则||CD =____________. 三、解答题：（本大题共6小题，共70分， ） 17.（本小题满分10分）（1）直线l 过点P(－1，2)，且点)1,4(-A ，B(2,5)到直线l 的距离相等，求直线l 的方程； （2）已知圆心为C 的圆过点A （﹣2，2），B （﹣5，5），且圆心在直线l ：30x y ++= 上，求圆心为C 的圆的标准方程；18. （本小题满分12分）棱长为1的正方体''''ABCD A B C D - 中，M 、N 分别是'AB ,'BC 的中点． （1）求证：直线MN ∥平面ABCD ． （2）求'B 到平面''A BC 的距离． 19. （本小题满分12分）已知圆22:(3)(4)4C x y -+-=，直线过点(5,0)P 。

平遥中学2016-2017学年第二学期高二期中考试英语试题(文理科)本试卷满分150分考试时间100分钟命题人：姜如心第I卷第一部分英语知识运用（共三节，满分100分）第一节阅读理解（共四篇，共15小题；每小题3分，满分45分ALand Art, sometimes referred to as Earth Art or Earthworks, is a form of art which involves using physical landscapes to create art, taking art out of the museum and into the outside world. Modern Land Art movement really got going in the 1960s when American artists began creating Land Art on a large scale. Today, works of modern Land Art can be seen all over the world, sometimes right alongside much older pieces of Land Art created by people who lived thousands of years ago.Land Art, which is not necessarily unchangeable, can take a number of forms. For examples, in 1970 Robert Smithson created the Spiral Jetty（螺旋状防波堤）, made of a collection of stones and mud, in the Great Salt Lake. The American artist made a large jetty in a spiral shape which sticks out into the waters of the lake. Reshaping the landscape is a common characteristic of Land Art, which can be created by moving parts around. People can also add things to the environment to create Land Art, like salt, which is added to the Spiral Jetty. It is possible to use plants. In all cases, Land Art is immovable.Land Art is designed to gradually form, change, and eventually decay（衰落）. That’s one of the biggest differences between Land Art and most of the art one sees in the museums. Some works of art can exist only for a few hours or days. Others are exposed to rain and wind so that they develop and decay over time, which is part of the attractiveness in the eyes of the artists.1. What do we know about Robert Smithson?A. He is a great creative artist.B. He lives near the Great Salt Lake.C. He made the most famous Land Art.D. He was a pioneer in creating Land Art.2. One of the unique characteristics of Land Art lies in _______.A. it shows the extreme beauty of natureB. it develops and decays gradually over timeC. it combines the landscapes around completelyD. it offers the artists a chance to get close to nature3. What is the passage mainly about?A. Works of Land Art.B. History of Land Art.C. Changes of Land Art.D. Introduction of Land Art.BIf you have a chance to go to Finland, you will probably be surprised to find how “foolish” the Finnish people are.Take the taxi drivers for example. Taxis in Finland are mostly high-class Benz （奔驰）with a fare of two US dollars a kilometer. You can go anywhere in one, tell the driver to drop you at any place, say that you have some business to attend to, and then walk off without paying your fare. The driver would not show the least sign of anxiety.The dining rooms in all big hotels not only serve their guests, but also serve outside diners. Hotel guests have their meals free, so they naturally go to the free dining rooms to have their meals. The most they would do to show their good faith is to wave their registration card to the waiter. With such a loose check, you can easily use any old registration card to take a couple of friends to dine free of charge.The Finnish workers are paid by the hour. They are very much on their own as soon as they have agreed with the boss on the rate（价钱）. From then on they just say how many hours they have worked and they will be paid accordingly（相应地）.With so many loopholes（漏洞）in everyday life, surely Finland must be a heaven to those who love to take “petty advantages”. But the strange thing is, all the taxi passengers would always come back to pay their fare after they have attended to their business; not a single outsider has ever been found in the free hotel dining rooms. And workers always give an honest account of the exact hours they put in.As the Finns always act on good faith in everything they do, living in such a society has turned everyone into a real “gentleman”.In a society of such high moral practice, what need is there for people to beon guard against others?4. While taking a taxi in Finland, _________.A. a passenger can never be turned down by the taxi driver wherever he wantsto goB. a passenger pays two US dollars for a taxi rideC. a passenger can go anywhere without having to pay the driverD. a passenger needs to provide good faith demonstration before they leavewithout paying5. We know from the passage that big hotels in Finland _________.A. provide meals for only those who live in the hotelsB. provide meals for any dinersC. provide free wine and charge for foodD. are mostly poorly managed6. Which of the following is NOT true according to the passage?A. The workers in Finland are paid by the hour.B. The bosses in Finland are too busy to check the working hours of their employees.C. The workers are always honest with their working hours.D. The workers and their bosses will make an agreement in advance about the pay.7. It can be concluded that ___________.A. Finnish people are not smart enough in daily lifeB. Finland has been a good place for cheatsC. the Finnish society is of very high moral levelD. all the Finns are richCIt was a dark, wet November morning. It seemed like it would take a million years to get to summer again. I thought bears have got it right---- what a perfect idea to sleep through the worst part of the year and wake up when spring comes!“Want some words of affirmation(肯定)?” a coworker, seeing my mood, kindly suggested. “You don’t think they would cheer you up?”“Today? No.” I shook my head.“I used to think so too,” he said, “until I realized the effect my words had on a certain person. Well, it was someone I knew pretty well. I have to say I treated him rather badly.”“You? But you are always so positive! How did you treat him badly?”“I told him I did not like anything about him, really. I told him I did not even like his name. In fact, it wasn’t only what I said. I also did pretty bad things to him. When he was hungry, I did not give him the chance to eat proper food. When he felt like doing something fun, I said to him that he was being childish and having fun was not productive (有成果的). And worst of all, when he was sick and needed care, I did not care. I told him to get up and get to work. And when he did, I never told him he did good work. You could say I was ashamed of him,” he said. “I wanted to get rid of him because he just wasn’t good enough for me---but couldn’t.”“But that was heartless!”He nodded. “Then one day it all changed. I stood t here in front of the bathroom mirror one morning. I saw the dark circles under his eyes, I saw the excess (过量的) weight. I saw the hair that needed cutting. And I saw the eyes that once had looked at the world eagerly. Now they were so sad and tired. And there and then I realized he deserved better. So I told the man I had disliked for so many years that he was a good person after all.”My jaw (下巴) dropped. I looked at him---full of positive energy, in good shape, always ready to encourage others.“Wow…”He winked (眨眼) at me. “So how about having a little positive conversation with the bathroom mirror? The person in there has the greatest effect on you!”8. The first paragraph implies that .A. the author felt frustrated that morningB. the weather in November was the worst in a yearC. the author didn’t enjoy his work environmentD. the author always felt bad in winter9. The author’s coworker used to be a person who .A. was very proud of himselfB. treated people differentlyC. worked hard to keep fitD. criticized himself a lot10. Which paragraph gives a clue about who the person that a author’s coworker treated badly was?A. Paragraph 4.B. Paragraph 8.C. Paragraph 6.D. The last paragraph.11. What does the author’s c oworker suggest the author do?A. Be helpful to those in need.B. Be confident in the face of difficulty.C. Be positive about himself.D. Be kind to those who make mistakes.DEdmonton's Downtown Park is transformed into one huge stage for five days where artists are able to share their talents, and where people are able to celebrate and enjoy themselves. Since its beginning in 1980, the Edmonton Folk Music Festival has been commemorating (纪念）the true feeling of what folk music is all about and that’s the traditional togetherness (友爱）that is felt when people gather to share stories and feelings through song.This year will be the sixth year when volunteer Riedel will be offering up her time to the festival. “People coming off a busy spring and summer have a moment of relaxation,” Riedel said. “It’s really easy to relax, and it’s great se eing family and friends have fun together.” These families and friends come from all different kinds of musical tastes. People who take pleasure in Blues are there, so are people who love Bluegrass. This festival does its best to develop everyone's musical interests.With so many years of experience, the festival has become a well-oiled machine, and does whatever it can to make attendees feel as comfortable as possible. Thereare free water stations throughout the venue (举办地）for people to fill up their travel cups. When people buy food, reusable dishes are given a $2 plate fee, but that is returned when the plate is brought back.The festival has completely sold out of tickets, and in record time. But with big names such as Van Morrison and Jakob Dylan, it’s easy to see how that was going to happen. There is no parking area during the festival, so using the Park & Ride system or Edmonton Transit is highly recommended. A bike lock-up area is provided and will be available Thursday until Sunday one hour before the gates open until 45 minutes after the gates close.The Edmonton Folk Music Festival begins on Wednesday, Aug.4 with Van Morrison playing the special donation fund concert, and will finish up on Sunday, Aug.8.12. The Edmonton Folk Music Festival is held mainly to _______.A. gather people with different musical tastesB. collect old stories of folk musicC. exhibitive good voices of great talents in folk musicD. remind people of the real sense of folk music13. Which of the following is TRUE according to the passage?A. It costs people a little to fill up their cups from water stations.B. It’s hard for people to appreciate Blues.C. Riedel has volunteered for the festival for at least 5years.D. People have to pay $2 for a plate of food.14. We can learn from the passenger that .A. the Edmonton Folk Music Festival is well organizedB. people can get tickets easily for the festivalC. driving one’s own car to the festival is highly recommendedD. bikes are available at the festival from Wednesday to Sunday15. What would be the best title for the passage?A. Folk Music of BluesB. Edmonton’s Downtown ParkC. Festival for Family GatheringD. One Festival for All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。