金华十校2016—2017学年第一学期期末调研考试高二英语(题型样稿) (1)

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浙江省金华市十校联考2016-2017学年高二下学期期末数学试卷 (word版含答案)

浙江省金华市十校联考2016-2017学年高二下学期期末数学试卷 (word版含答案)

2016-2017学年浙江省金华市十校联考高二(下)期末数学试卷一、1.设z=(i为虚数单位),则|z|=()A.2 B.C.D.2.不等式(m﹣2)(m+3)<0的一个充分不必要条件是()A.﹣3<m<0 B.﹣3<m<2 C.﹣3<m<4 D.﹣1<m<33.在(x2﹣4)5的展开式中,含x6的项的系数为()A.20 B.40 C.80 D.1604.设a、b是两条不同的直线,α、β是两个不同的平面,则下面四个命题中不正确的是()A.若a⊥b,a⊥α,b⊄α,则b∥αB.若a⊥b,a⊥α,b⊥β,则α⊥βC.若a∥α,α⊥β,则α⊥βD.若a⊥β,α⊥β,则a∥α5.已知双曲线﹣=1的一个焦点在直线x+y=5上,则双曲线的渐近线方程为()A.y=±x B.y=±x C.y=±x D.y=±x6.用数学归纳法证明不等式++…+≤n(n∈N*)时,从n=k到n=k+1不等式左边增添的项数是()A.k B.2k﹣1 C.2k D.2k+17.已知某几何体的三视图如图所示,则该几何体的表面积为()A.64 B.128 C.252 D.80+258.A、B、C、D、E五个人参加抽奖活动,现有5个红包,每人各摸一个,5个红包中有2个8元,1个18元,1个28元,1个0元,(红包中金额相同视为相同红包),则A、B两人都获奖(0元视为不获奖)的情况有()A.18种B.24种C.36种D.48种9.椭圆M: +=1(a>b>0)的左、右焦点分别为F1、F2,P为椭圆M上任一点,且|PF1|•|PF2|的最大值的取值范围是[2b2,3b2],椭圆M的离心率为e,则e﹣的最小值是()A.﹣B.﹣C.﹣D.﹣10.底面为正方形的四棱锥S﹣ABCD,且SD⊥平面ABCD,SD=,AB=1,线段SB上一M点满足=,N为线段CD的中点,P为四棱锥S﹣ABCD表面上一点,且DM⊥PN,则点P形成的轨迹的长度为()A.B.C.D.2二、填空题(共7小题,每小题6分,满分36分)11.在(﹣)n的展开式中,只有第5项的二项式系数最大,则n=,展开式中常数项是.12.在正棱柱ABC﹣A1B1C1中,M为△A1B1C1的重心,若=,=,=,则=,=.13.已知直线l:mx﹣y=1,若直线l与直线x﹣(m﹣1)y=2垂直,则m的值为,动直线l:mx﹣y=1被圆C:x2﹣2x+y2﹣8=0截得的最短弦长为.14.在正三棱锥S﹣ABC中,M是SC的中点,且AM⊥SB,底面边长AB=2,则正三棱锥S﹣ABC的体积为,其外接球的表面积为.15.已知点A(4,0),抛物线C:y2=2px(0<p<4)的焦点为F,点P在C上,△PFA为正三角形,则p=.16.P为曲线C1:y=e x上一点,Q为曲线C2:y=lnx上一点,则|PQ|的最小值为.17.已知椭圆+=1与x轴交于A、B两点,过椭圆上一点P(x0,y0)(P不与A、B重合)的切线l的方程为+=1,过点A、B且垂直于x轴的垂线分别与l交于C、D两点,设CB、AD交于点Q,则点Q的轨迹方程为.三、解答题(共5小题,满分74分)18.已知圆C:x2+y2=4,直线l:y+x﹣t=0,P为直线l上一动点,O为坐标原点.(1)若直线l交圆C于A、B两点,且∠AOB=,求实数t的值;(2)若t=4,过点P做圆的切线,切点为T,求•的最小值.19.甲和乙参加有奖竞猜闯关活动,活动规则:①闯关过程中,若闯关成功则继续答题;若没通关则被淘汰;②每人最多闯3关;③闯第一关得10万奖金,闯第二关得20万奖金,闯第三关得30万奖金,一关都没过则没有奖金.已知甲每次闯关成功的概率为,乙每次闯关成功的概率为.(1)设乙的奖金为ξ,求ξ的分布列和数学期望;(2)求甲恰好比乙多30万元奖金的概率.20.在四棱锥P﹣ABCD中,PA⊥平面ABCD,底面ABCD为直角梯形,∠CDA=∠BAD=90°,AD=DC=,AB=PA=2,且E为线段PB上的一动点.(1)若E为线段PB的中点,求证:CE∥平面PAD;(2)当直线CE与平面PAC所成角小于,求PE长度的取值范围.21.已知抛物线C:y=x2,点P(0,2),A、B是抛物线上两个动点,点P到直线AB的距离为1.(1)若直线AB的倾斜角为,求直线AB的方程;(2)求|AB|的最小值.22.设函数f(x)=e x﹣x,h(x)=﹣kx3+kx2﹣x+1.(1)求f(x)的最小值;(2)设h(x)≤f(x)对任意x∈[0,1]恒成立时k的最大值为λ,证明:4<λ<6.2016-2017学年浙江省金华市十校联考高二(下)期末数学试卷参考答案与试题解析一、1.设z=(i为虚数单位),则|z|=()A.2 B.C.D.【考点】A5:复数代数形式的乘除运算.【分析】直接利用复数代数形式的乘除运算化简,再由复数求模公式计算得答案.【解答】解:z==,则|z|=.故选:C.2.不等式(m﹣2)(m+3)<0的一个充分不必要条件是()A.﹣3<m<0 B.﹣3<m<2 C.﹣3<m<4 D.﹣1<m<3【考点】2L:必要条件、充分条件与充要条件的判断.【分析】求出不等式的等价条件,结合充分不必要条件的定义进行求解即可.【解答】解:由(m﹣2)(m+3)<0得﹣3<m<2,即不等式的等价条件是﹣3<m<2,则不等式(m﹣2)(m+3)<0的一个充分不必要条件一个是(﹣3,2)的一个真子集,则满足条件是﹣3<m<0,故选:A3.在(x2﹣4)5的展开式中,含x6的项的系数为()A.20 B.40 C.80 D.160【考点】DB:二项式系数的性质.==(﹣4)r,令10﹣2r=6,解得r=2,由【分析】T r+1此能求出含x6的项的系数.【解答】解:∵(x2﹣4)5,==(﹣4)r,∴T r+1令10﹣2r=6,解得r=2,∴含x6的项的系数为(﹣4)2C=160.故选:D.4.设a、b是两条不同的直线,α、β是两个不同的平面,则下面四个命题中不正确的是()A.若a⊥b,a⊥α,b⊄α,则b∥αB.若a⊥b,a⊥α,b⊥β,则α⊥βC.若a∥α,α⊥β,则α⊥βD.若a⊥β,α⊥β,则a∥α【考点】LP:空间中直线与平面之间的位置关系.【分析】在A中,由线面平行的判定定理得b∥α;在B中,由面面垂直的判定定理得α⊥β;在C中,由面面垂直的判定定理得α⊥β;在D中,a∥α或a⊂α.【解答】解:由a、b是两条不同的直线,α、β是两个不同的平面,知:在A中,若a⊥b,a⊥α,b⊄α,则由线面平行的判定定理得b∥α,故A正确;在B中,若a⊥b,a⊥α,b⊥β,则由面面垂直的判定定理得α⊥β,故B正确;在C中,若a∥α,α⊥β,则由面面垂直的判定定理得α⊥β,故C正确;在D中,若a⊥β,α⊥β,则a∥α或a⊂α,故D错误.故选:D.5.已知双曲线﹣=1的一个焦点在直线x+y=5上,则双曲线的渐近线方程为()A.y=±x B.y=±x C.y=±x D.y=±x【考点】KC:双曲线的简单性质.【分析】根据题意,由双曲线的方程可以确定其焦点在位置,由直线的方程可得直线与x轴交点的坐标,即可得双曲线焦点的坐标,由双曲线的几何性质可得9+m=25,解可得m的值,即可得双曲线的标准方程,进而由双曲线的渐近线方程计算可得答案.【解答】解:根据题意,双曲线的方程为﹣=1,则其焦点在x轴上,直线x+y=5与x轴交点的坐标为(5,0),则双曲线的焦点坐标为(5,0),则有9+m=25,解可得,m=16,则双曲线的方程为:﹣=1,其渐近线方程为:y=±x,故选:B.6.用数学归纳法证明不等式++…+≤n(n∈N*)时,从n=k到n=k+1不等式左边增添的项数是()A.k B.2k﹣1 C.2k D.2k+1【考点】RG:数学归纳法.【分析】分别计算n=k和n=k+1时,不等式左侧的项数即可得出答案.【解答】解:当n=k时,不等式左边为,共有2k﹣1项,当n=k+1时,不等式坐左边为+…+,共有2k+1﹣1项,∴增添的项数为2k+1﹣2k=2k.故答案为:C.7.已知某几何体的三视图如图所示,则该几何体的表面积为()A.64 B.128 C.252 D.80+25【考点】L!:由三视图求面积、体积.【分析】由三视图得到几何体是底面为直角三角形的三棱锥,高为8,由此求出表面积.【解答】解:由三视图得到几何体是底面为直角三角形的三棱锥,高为8,表面积为+++=128;故选:B.8.A、B、C、D、E五个人参加抽奖活动,现有5个红包,每人各摸一个,5个红包中有2个8元,1个18元,1个28元,1个0元,(红包中金额相同视为相同红包),则A、B两人都获奖(0元视为不获奖)的情况有()A.18种B.24种C.36种D.48种【考点】CC:列举法计算基本事件数及事件发生的概率.【分析】A、B两人都获奖(0元视为不获奖)的情况有三类:即获奖的四人为:ABCD,ABCE,ABDE,在每类情况中,获奖的情况有:=12种,由乘法原理能求出A、B两人都获奖(0元视为不获奖)的情况的种数.【解答】解:A、B两人都获奖(0元视为不获奖)的情况有三类:即获奖的四人为:ABCD,ABCE,ABDE,在每类情况中,获奖的情况有:=12种,∴由乘法原理得:A、B两人都获奖(0元视为不获奖)的情况有:3×12=36种.故选:C.9.椭圆M: +=1(a>b>0)的左、右焦点分别为F1、F2,P为椭圆M上任一点,且|PF1|•|PF2|的最大值的取值范围是[2b2,3b2],椭圆M的离心率为e,则e﹣的最小值是()A.﹣B.﹣C.﹣D.﹣【考点】K4:椭圆的简单性质.【分析】利用基本不等式得出|PF1|•|PF2|的最大值,从而得出离心率的范围,再根据函数单调性得出答案.【解答】解:由椭圆的定义可知|PF1|+|PF2|=2a,∴|PF1|•|PF2|≤()2=a2,∴2b2≤a2≤3b2,即2a2﹣2c2≤a2≤3a2﹣3c2,∴≤≤,即≤e≤.令f(e)=e﹣,则f(e)是增函数,∴当e=时,e﹣取得最小值﹣=﹣.故选A.10.底面为正方形的四棱锥S﹣ABCD,且SD⊥平面ABCD,SD=,AB=1,线段SB上一M点满足=,N为线段CD的中点,P为四棱锥S﹣ABCD表面上一点,且DM⊥PN,则点P形成的轨迹的长度为()A.B.C.D.2【考点】L3:棱锥的结构特征.【分析】取AD的中点E,则EN⊥DM,利用向量求出SD上一点F,使得EF⊥DM,故而P点轨迹为△EFN.【解答】解:以D为坐标原点,以DA,DC,DS为坐标轴建立空间直角坐标系,如图所示:则B(1,1,0),S(0,0,),N(0,,0),D(0,0,0),M(,,),取AD的中点E,则E(,0,0),∴=(,,),=(﹣,,0),∴=0,即DM⊥EN,在SD上取一点F,设F(0,0,a),则=(﹣,0,a),设DM⊥EF,则,即﹣+=0,解得a=,∴DM⊥平面EFN,∴P点轨迹为△EFN.∵EF=FN==,EN=AC=,∴△EFN的周长为=.故选:B.二、填空题(共7小题,每小题6分,满分36分)11.在(﹣)n的展开式中,只有第5项的二项式系数最大,则n=8,展开式中常数项是.【考点】DB:二项式系数的性质.【分析】在(﹣)n的展开式中,只有第5项的第二项系数最大,由此求出n=8.从而T r=()8﹣r(﹣1)r x8﹣2r,由8﹣2r=0,得r=4.由此能求出展开+1式中常数项.【解答】解:∵在(﹣)n的展开式中,只有第5项的二项式系数最大,∴n=8.=()8﹣r(﹣)r∴T r+1=()8﹣r(﹣1)r x8﹣2r,由8﹣2r=0,得r=4.∴展开式中常数项是:()4(﹣1)4=.故答案为:8,.12.在正棱柱ABC﹣A1B1C1中,M为△A1B1C1的重心,若=,=,=,则=,=.【考点】M1:空间向量的概念.【分析】利用正棱柱ABC﹣A1B1C1的性质及空间向量加法法则直接求解.【解答】解:∵在正棱柱ABC﹣A1B1C1中,M为△A1B1C1的重心,=,=,=,∴==,===×()=(﹣+)=+(﹣)=.故答案为: +,.13.已知直线l:mx﹣y=1,若直线l与直线x﹣(m﹣1)y=2垂直,则m的值为,动直线l:mx﹣y=1被圆C:x2﹣2x+y2﹣8=0截得的最短弦长为2.【考点】J9:直线与圆的位置关系.【分析】由直线l:mx﹣y=1,直线l与直线x﹣(m﹣1)y=2垂直,利用两直线垂直的性质能求出m的值;求出圆C:x2﹣2x+y2﹣8=0的圆心C(1,0),半径r=3,再求出圆心C(1,0)到直线l:mx﹣y=1的距离d=,弦长为:2,由此能求出动直线l:mx﹣y=1被圆C:x2﹣2x+y2﹣8=0截得的最短弦长.【解答】解:∵直线l:mx﹣y=1,直线l与直线x﹣(m﹣1)y=2垂直,∴m×1+(﹣1)×[﹣(m﹣1)]=0,解得m=.∵圆C:x2﹣2x+y2﹣8=0的圆心C(1,0),半径r==3,圆心C(1,0)到直线l:mx﹣y=1的距离d=,∴弦长为:2=2=2,∴当且仅当m=﹣1时,动直线l:mx﹣y=1被圆C:x2﹣2x+y2﹣8=0截得的最短弦长为2.故答案为:.14.在正三棱锥S﹣ABC中,M是SC的中点,且AM⊥SB,底面边长AB=2,则正三棱锥S﹣ABC的体积为,其外接球的表面积为12π.【考点】LG:球的体积和表面积.【分析】根据空间直线平面的垂直问题,得出棱锥的高,转化顶点,求解体积,补图的正方体的外接球求解.【解答】解:取AC中点D,则SD⊥AC,DB⊥AC,又∵SD⊥BD=D,∴AC⊥平面SDB,∵SB⊂平面SBD,∴AC⊥SB,又∵AM⊥SB,AM∩AC=A,∴SB⊥平面SAC,∴SA⊥SB,SC⊥SB,根据对称性可知SA⊥SC,从而可知SA,SB,SC两两垂直,将其补为立方体,其棱长为2,∴V S﹣ABC =S C﹣ASB==,其外接球即为立方体的外接球,半径r=×,表面积S=4π×3=12π.15.已知点A(4,0),抛物线C:y2=2px(0<p<4)的焦点为F,点P在C上,△PFA为正三角形,则p=.【考点】K8:抛物线的简单性质.【分析】根据抛物线的焦点,结合等边三角形的性质,运用中点坐标公式,求出P的坐标,代入抛物线的方程,解方程可得p的值.【解答】解:抛物线C:y2=2px(0<p<4)的焦点为F(,0),可得|AF|=4﹣,由△PFA为等边三角形,可得P((4+),(4+)),代入抛物线的方程,可得(4+)2=2p•(4+),化为5p2+112p﹣192=0,解得p=或﹣24(舍去),故答案为:.16.P为曲线C1:y=e x上一点,Q为曲线C2:y=lnx上一点,则|PQ|的最小值为.【考点】6H:利用导数研究曲线上某点切线方程.【分析】考虑到两曲线关于直线y=x对称,求丨PQ丨的最小值可转化为求P到直线y=x的最小距离,再利用导数的几何意义,求曲线上斜率为1的切线方程,从而得此距离.【解答】解:∵曲线y=e x与曲线y=lnx互为反函数,其图象关于y=x对称,故可先求点P到直线y=x的最近距离d,设曲线y=e x上斜率为1的切线为y=x+b,∵y′=e x,由e x=1,得x=0,故切点坐标为(0,1),即b=1,∴d==,∴丨PQ丨的最小值为2d=2×=.故答案为:.17.已知椭圆+=1与x轴交于A、B两点,过椭圆上一点P(x0,y0)(P不与A、B重合)的切线l的方程为+=1,过点A、B且垂直于x轴的垂线分别与l交于C、D两点,设CB、AD交于点Q,则点Q的轨迹方程为+y2=1(x≠±3).【考点】K4:椭圆的简单性质.【分析】由椭圆方程可得A(﹣3,0),B(3,0),令x=﹣3,x=3分别代入切线方程,求得交点C,D,求得直线CB,AD的方程,两式相乘,再由P在椭圆上,化简整理即可得到所求轨迹方程.【解答】解:椭圆+=1的a=3,可得A(﹣3,0),B(3,0),由x=﹣3代入切线l的方程为+=1,可得y=,即C(﹣3,),由x=3代入切线l的方程为+=1,可得y=,即D(3,),可得直线CB的方程为y=(x﹣3)①直线AD的方程为y=(x+3)②①×②可得y2=﹣(x2﹣9),③结合P在椭圆上,可得+=1,即有9﹣x02=,代入③可得, +y2=1(x≠±3).故答案为: +y2=1(x≠±3).三、解答题(共5小题,满分74分)18.已知圆C:x2+y2=4,直线l:y+x﹣t=0,P为直线l上一动点,O为坐标原点.(1)若直线l交圆C于A、B两点,且∠AOB=,求实数t的值;(2)若t=4,过点P做圆的切线,切点为T,求•的最小值.【考点】J9:直线与圆的位置关系;9R:平面向量数量积的运算.【分析】(1)由∠AOB=,得到圆心到直线l的距离为1,由此求出圆心(0,0)到直线l的距离=1,从而能求出t.(2)•=||•||•cosθ=||2=||2﹣4,求出||的最小值d=2,由此能求出•的最小值.【解答】解:(1)∵圆C:x2+y2=4,直线l:y+x﹣t=0,P为直线l上一动点,O 为坐标原点.直线l交圆C于A、B两点,且∠AOB=,∴圆心到直线l的距离为1,即圆心(0,0)到直线l的距离d==1,解得t=.(2)∵t=4,过点P做圆的切线,切点为T,∴•=||•||•cosθ=||2=||2﹣4,∴求•的最小值.等价于求||2﹣4的最小值,∵||的最小值d==2,∴•的最小值为(2)2﹣4=4.19.甲和乙参加有奖竞猜闯关活动,活动规则:①闯关过程中,若闯关成功则继续答题;若没通关则被淘汰;②每人最多闯3关;③闯第一关得10万奖金,闯第二关得20万奖金,闯第三关得30万奖金,一关都没过则没有奖金.已知甲每次闯关成功的概率为,乙每次闯关成功的概率为.(1)设乙的奖金为ξ,求ξ的分布列和数学期望;(2)求甲恰好比乙多30万元奖金的概率.【考点】CH:离散型随机变量的期望与方差;C9:相互独立事件的概率乘法公式;CG:离散型随机变量及其分布列.【分析】(1)先分析随机变量ξ的所有可能取值,再利用ξ取值的实际意义,运用独立事件同时发生的概率运算性质分别计算概率,最后画出分布列,利用期望计算公式计算期望即可;(2)甲恰好比乙多30万元奖金包含两个互斥事件,即甲恰好得30万元同时乙恰好得0万元和甲恰好得60万元且乙恰好得30万元,分别计算两个互斥事件的概率再相加即可【解答】解:(1)ξ的取值为0,10,30,60.∴ξ 的概率分布如下表:(2)设甲恰好比乙多30万元为事件A,甲恰好得30万元且乙恰好得0万元为事件B1,甲恰好得60万元且乙恰好得30万元为事件B2,则A=B1∪B2,B1,B2为互斥事件..所以,甲恰好比乙多30万元的概率为20.在四棱锥P﹣ABCD中,PA⊥平面ABCD,底面ABCD为直角梯形,∠CDA=∠BAD=90°,AD=DC=,AB=PA=2,且E为线段PB上的一动点.(1)若E为线段PB的中点,求证:CE∥平面PAD;(2)当直线CE与平面PAC所成角小于,求PE长度的取值范围.【考点】MI:直线与平面所成的角;LS:直线与平面平行的判定.【分析】(1)取PA的中点F,连结EF,DF,证明四边形EFDC是平行四边形得出CE∥DF,故而CE∥平面PAD;(2)证明BC⊥平面PAC,可知∠PCE为CE与平面PAC所成的角,利用余弦定理得出∠BPC,利用勾股定理得出PE的最大值即可得出PE的范围.【解答】证明:(1)取PA的中点F,连结EF,DF,则EF∥AB,EF=AB,又DC∥AB,DC=AB,∴EF∥CD,EF=DC,∴四边形EFDC是平行四边形,∴CE∥DF,又CE⊄平面PAD,DF⊂平面PAD,∴CE∥平面PAD.解:(2)∵AD=CD=,AD⊥CD,∴AC=2,又AB=2,∠BAC=45°,∴BC=2,∴AC⊥BC,又PA⊥平面ABCD,BC⊂平面ABCD,∴PA⊥BC,又PA∩AC=A,∴BC⊥平面PAC,过E作EM∥BC,则EM⊥平面PAC,∴∠PCE为CE与平面PAC所成的角,即∠PCE<.∵PA=2,AC=2,∴PC=2,BC=2,PB=4,∴∠BPC=,∴当∠PCE=时,CE⊥PB,此时PE=3,∴当∠PCE时,PE<3.21.已知抛物线C:y=x2,点P(0,2),A、B是抛物线上两个动点,点P到直线AB的距离为1.(1)若直线AB的倾斜角为,求直线AB的方程;(2)求|AB|的最小值.【考点】K8:抛物线的简单性质.【分析】(1)由直线AB的倾斜角为设出直线AB的方程,根据点P到直线AB的距离求出m的值,从而写出直线方程;(2)设出直线AB的方程,与抛物线方程联立,利用根与系数的关系和点P到直线AB的距离,得出k、m的关系,再求|AB|2的最小值即可.【解答】解:(1)由直线AB的倾斜角为,tan=,设直线AB的方程为:y=x+m,则点P(0,2)到直线AB的距离为d==1,解得m=0或m=4;∴直线AB的方程为y=x或y=x+4;(2)设直线AB的方程为y=kx+m,则点P到直线AB的距离为d==1,即k2+1=(m﹣2)2;由,消去y得x2﹣kx﹣m=0,由根与系数的关系得x1+x2=k,x1x2=﹣m;∴|AB|2=(1+k2)[﹣4x1x2]=(1+k2)(k2+4m)=(m﹣2)2(m2+3),设f(m)=(m﹣2)2(m2+3),则f′(m)=2(m﹣2)(2m2﹣2m+3),又k2+1=(m﹣2)2≥1,∴m≤1或m≥3,∴当m∈(﹣∞,1]时,f′(m)<0,f(m)是单调减函数;当m∈[3,+∞)时,f′(m)>0,f(m)是单调增函数;∴f(m)min=f(1)=4,∴|AB|的最小值为2.22.设函数f(x)=e x﹣x,h(x)=﹣kx3+kx2﹣x+1.(1)求f(x)的最小值;(2)设h(x)≤f(x)对任意x∈[0,1]恒成立时k的最大值为λ,证明:4<λ<6.【考点】3R:函数恒成立问题;3H:函数的最值及其几何意义.【分析】(1)求出函数的导数,解关于导函数的不等式,求出函数的单调区间,求出函数的最小值即可;(2)问题转化为证明①>4对任意x∈(0,1)恒成立,②存在x0∈(0,1),使得<6成立,根据函数的单调性证明即可.【解答】解:(1)∵f(x)=e x﹣x,∴f′(x)=e x﹣1,x∈(﹣∞,0)时,f′(x)<0,f(x)递减,x∈(0,+∞)时,f′(x)>0,f(x)递增,∴f(x)min=f(0)=1;(2)由h(x)≤f(x),化简可得k(x2﹣x3)≤e x﹣1,当x=0,1时,k∈R,当x∈(0,1)时,k≤,要证:4<λ<6,则需证以下两个问题:①>4对任意x∈(0,1)恒成立,②存在x0∈(0,1),使得<6成立,先证:①>4,即证e x﹣1>4(x2﹣x3),由(1)可得:e x﹣x≥1恒成立,∴e x﹣1≥x,又x≠0,∴e x﹣1>x,即证x≥4(x2﹣x3)⇔1≥4(x﹣x2)⇔(2x﹣1)2≥0,(2x﹣1)2≥0,显然成立,∴>4对任意x∈(0,1)恒成立,再证②存在x0∈(0,1),使得<6成立,取x0=,=8(﹣1),∵<,∴8(﹣1)<6×=6,故存在x0∈(0,1),使得<6,由①②可得:4<λ<6.2017年8月10日。

2016_2017学年高二英语下学期期末质量监测试题(含解析)

2016_2017学年高二英语下学期期末质量监测试题(含解析)

辽宁省葫芦岛市2016-2017学年高二下学期期末质量检测英语试题第一部分听力(共两节,满分30分)第一节(共5小题:每小题1.5分,满分7.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. When are the two speakers going to the school?A. On Saturday’s morning.B. O n Sunday’s afternoon.C. On Saturday’s afternoon.2. Where does the man come from?A. America.B. England.C. Japan.3. What does the woman suggest the man do?A. Not smoke so heavily.B. Give up smoking.C. Take more exercise.4. What is the woman looking for?A. A friend’s house.B. A restaurant.C. A single room for night.5. When does the Boeing 747 leave for New York?A. At 8:05.B. At 8:45.C. At 8:55. 第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话成独白。

每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相成位置。

听每段对话或独白前,你将有时间阅读各个小题,每小题5秒钟;听完后,各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料,回答第6至第7题。

6. What will the two speakers do this weekend?A. Sec a science fiction film.B. Go dancing at the Friendship Hotel.C. Have a meal in a Sichuan restaurant.7. How much will the two speakers spend on the film?A. ¥ 9.B. ¥ 6.C.¥ 3.听第7段材料,回答第8至第9题。

2016-2017学年浙江省金华十校高一下学期期末考试英语试题(有答案)

2016-2017学年浙江省金华十校高一下学期期末考试英语试题(有答案)

第Ⅰ卷(选择题共95分)第一部分听力测试(共两节,20小题;每小题1.5分,满分30分)第一节听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What is the man?A.He's a pilot.B.He's a writer.C.He's a journalist.2.What does the man often do?A.Talk to himself.B.Live by himself.C.Get embarrassed.3.Where are the speakers?A.On a bus.B.On the street.C.At a kindergarten.4.What colour dress will the woman probably wear tonight?A.The red one.B.The blue one.C.The white one.5.What is the man going to do on Thursday evening?A.Make an advertisement.B.Record a new single.C.Perform in a concert.第二节听下面5段对话或对白,每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置,听每段对话或独白前,你将有时间阅读各个小题。

每小题5秒钟;听完后,各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听下面一段对活,回答第6和第7题。

6.What does the woman dislike?A.Going shopping.B.Being well-known.C.Starring in the films.7.What does the woman think of the man's questions?A.Interesting.B.Creative.C.Foolish.听下面一段对话,回答第8至第10题。

浙江省金华十校2016-2017学年高一下学期期末考试英语试题含答案

浙江省金华十校2016-2017学年高一下学期期末考试英语试题含答案

第Ⅰ卷(选择题共95分)第一部分听力测试(共两节,20小题;每小题1.5分,满分30分)第一节听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What is the man?A.He's a pilot.B.He's a writer.C.He's a journalist.2.What does the man often do?A.Tal to himself.B.Live by himself.C.Get embarrassed.3.Where are the speaers?A.On a bus.B.On the street.C.At a indergarten.4.What colour dress will the woman probably wear tonight?A.The red one.B.The blue one.C.The white one.5.What is the man going to do on Thursday evening?A.Mae an advertisement.B.Record a new single.C.Perform in a concert.第二节听下面5段对话或对白,每段对话或独白后有几个小题,从题中所给的A、B、C 三个选项中选出最佳选项,并标在试卷的相应位置,听每段对话或独白前,你将有时间阅读各个小题。

每小题5秒钟;听完后,各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听下面一段对活,回答第6和第7题。

6.What does the woman dislie?A.Going shopping.B.Being well-nown.C.Starring in the films.7.What does the woman thin of the man's questions?A.Interesting.B.Creative.C.Foolish.听下面一段对话,回答第8至第10题。

浙江省金华十校2016-2017学年高一下学期期末考试英语试题Word版含答案

浙江省金华十校2016-2017学年高一下学期期末考试英语试题Word版含答案

第Ⅰ卷(选择题共95分)第一部分听力测试(共两节,20小题;每小题1.5分,满分30分)第一节听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What is the man?A.He's a pilot.B.He's a writer.C.He's a journalist.2.What does the man often do?A.Talk to himself.B.Live by himself.C.Get embarrassed.3.Where are the speakers?A.On a bus.B.On the street.C.At a kindergarten.4.What colour dress will the woman probably wear tonight?A.The red one.B.The blue one.C.The white one.5.What is the man going to do on Thursday evening?A.Make an advertisement.B.Record a new single.C.Perform in a concert. 第二节听下面5段对话或对白,每段对话或独白后有几个小题,从题中所给的A、B、C 三个选项中选出最佳选项,并标在试卷的相应位置,听每段对话或独白前,你将有时间阅读各个小题。

每小题5秒钟;听完后,各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听下面一段对活,回答第6和第7题。

6.What does the woman dislike?A.Going shopping.B.Being well-known.C.Starring in the films.7.What does the woman think of the man's questions?A.Interesting.B.Creative.C.Foolish.听下面一段对话,回答第8至第10题。

浙江省金华市四校2016-2017学年高二11月调研(期中)考试英语试题 Word版含答案

浙江省金华市四校2016-2017学年高二11月调研(期中)考试英语试题 Word版含答案

第一部分:听力(共两节,满分30分)第一节(共5小题,每题1.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C中选出可以填入空白处的最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What time is it now?A. 11:35.B. 12:20.C. 12:45.2. Where did Sheila spend most of her life time?A. In America.B. In the Middle East.C. In the Far East.3. What is Mrs. Brown doing?A .She is waiting for the man.B. She is talking with the man on the phone.C. She is making an appointment with the man.4. How is the man's mother feeling now?A. The same as before.B. Much worse than before.C. A lot better than before.5. What food does the man want to have for dinner?A. Italian food.B. Chinese food.C. Korean food.第二节(共15小题;每小题1.5分,共22.5分)听下面5段对话或独白。

每段对话或独白后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听每段对话或独白前,你将有5秒钟的时间阅读各个小题;听完后,各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料,回答第6、7题。

6. How is the man recently?A. Free.B. Sick.C. Busy.7. What can we infer from the conversation?A. The man is sure of the test.B. The man is not fully ready for the test.C. The man has not decided whether he will take the test.听第7段材料,回答第8至9题。

浙江省金华十校2017-2018学年高二下学期期末调研考试英语---精校 Word版答案全

A. Because her mother liked being called “chuleta”.
B. Because he had a bad nose for language learning.
C. Because they didn’t intend to make him awkward.


浙江金华十校2017-2018学年第二学期高二期末考试
英语试题
本试卷分为第I卷(选择题)和第II卷(非选择题),共150分,考试时间120分钟。请考生按规定用笔将所有试题的答案涂写在答题纸上。
第I卷(选择题共95分)
第一部分:听力(百强校英语解析团队专供)(共两节,满分30分)
D. Because they would have more chances to fool him.
23. The author tells the story in a(n) ________ tone.
A. annoyedB. seriousC. concernedD. humorous
B
An earthquake hit Bam, Iran on December 26, 2003. The quake occurred at 5:26 AM (Iran Standard Time). Its epicenter(震中)was roughly 10 kilometres southwest of the ancient city of Bam. Maximum intensities were at Bam and Baravat, an important regional center during the 16th and 17th centuries. About 30,000 people were killed in the quake—nearly a third of the city’s population. And more were left injured. In terms of human loss, the quake was the worst to occur in Iranian history.

浙江省金华十校2016-2017学年高一下学期期末考试英语试题

浙江省金华十校2016-2017学年高一下学期期末考试英语试题第Ⅰ卷(选择题共95分)第一部分听力测试(共两节,20小题;每小题1.5分,满分30分)第一节听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1.What is the man?A.He's a pilot.B.He's a writer.C.He's a journalist.2.What does the man often do?A.Talk to himself.B.Live by himself.C.Get embarrassed.3.Where are the speakers?A.On a bus.B.On the street.C.At a kindergarten.4.What colour dress will the woman probably wear tonight?A.The red one.B.The blue one.C.The white one.5.What is the man going to do on Thursday evening?A.Make an advertisement.B.Record a new single.C.Perform in a concert.第二节听下面5段对话或对白,每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置,听每段对话或独白前,你将有时间阅读各个小题。

每小题5秒钟;听完后,各小题给出5秒钟的作答时间。

每段对话或独白读两遍。

听下面一段对活,回答第6和第7题。

6.What does the woman dislike?A.Going shopping.B.Being well-known.C.Starring in the films.7.What does the woman think of the man's questions?A.Interesting.B.Creative.C.Foolish.听下面一段对话,回答第8至第10题。

浙江省金华市2016-2017学年高一第一学期期末考试英语试卷

浙江省金华市2016-2017学年高一英语上学期期末考试试题试卷满分:150分考试时间: 120分钟第Ⅰ卷第一部分听力(共两节,满分30分)第一节(共5小题,每小题1.5分,满分7.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What does the man ask the woman to do ?A. Open the window.B. Use the ovenC. Turn on the air-conditioner.2.What do we know about the man?A. He has lost his job.B. He quarrelled with the womanC. He broke the woman's glasses3.who will probably fix the computer?A. John.B. Jane.C. Robert.4.When will professor Wang go to London?A. On Wednesday.B. On Friday.C. On Thursday5.Why does the man want to go to another restaurant?A. The food in the first restaurant is terrible.B. The service in the first restaurant is terrible.C. He want to try some new dishes.第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白。

每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

浙江省金华十校2023-2024学年高二下学期期末调研考试英语试题

金华十校2023—2024学年第二学期期末调研考试高二英语试题卷本试卷分为第Ⅰ卷(选择题)和第Ⅱ卷(非选择题),共150分,考试时间120分钟。

请考生按规定用笔将所有试题的答案涂写在答题纸上。

第Ⅰ卷(选择题共95分)第一部分听力(共两节,满分30分)第一节(共5 小题;每小题1.5分,满分7.5分)听下面5段对话。

每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. Why is the woman making the chair?A. To sell it for money.B. To give it as a gift.C. To practise her skills.2. What was the man's best record before today?A. 12.13 seconds.B. 12.23 seconds.C. 12.35 seconds.3. What will the woman probably do next?A. Get some Euros.B. Wait for her visa.C. Print out her boarding pass.4. How is the woman feeling?A. Anxious.B. Confident.C. Calm.5. Where does the conversation most probably take place?A. At the woman's home.B. At a restaurant.C. At school.第二节(共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白。

每段对话或独白后有几个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

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金华十校2016-2017学年第一学期调研考试高二英语试卷(样卷)本试卷分为第I卷(选择题)和第II卷(非选择题)两部分, 共150分,考试时间120分钟。

请考生按规定用笔将所有试题的答案涂写在答题纸上。

第I卷(选择题共100分)第一部分:听力测试(共两节,20小题;每小题1.5分,满分30分)第一节: 听下面5段对话,每段对话后有一个小题,从题中所给的A、B、C三个选项中选出最佳选项,并标在试卷的相应位置。

听完每段对话后,你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

第二部分阅读理解(共两节,满分35分)第一节(共10小题;每小题2.5分,满分25分)阅读下列短文,从每题所给的A、B、C和D四个选项中,选出最佳选项,并在答题纸上将该项涂黑。

AIn the middle of the Atlantic Ocean and preparing for the worst, Aussie adventurer Peter Seiter wrote a farewell note to his family, put it in a bottle and threw it overboard. With a sense of bad feeling he wrote: “The ocean has a personality of its own. The place can be such a peaceful environment to be in, yet it can be frightfully violent. I’ve experienced both.” Fearing he wouldn’t make it home, he placed t he note —dated June 11, 1998 —in a wine bottle and sealed the bottle.“I included our geographical coordinates (地理坐标) so if anything happened to me, they’d know our last place when I threw the bottle into the ocean,” says Peter. He also included some money with his message, asking whoever found it to use the money to post the letter to his family in the tiny Victorian township of Wunghnu.Seventeen days later he reached his destination, having survived the dangerous seas, but he assumed his message in a bottle had not —until it was found on shore, 11 years later!Recently, American woman Katherine Ginn and a friend came across the bottle on a deserted beach in the Bahamas. “Alongside it they’d found a life jacket and, assuming the worst, smashed the bottle open and spent 24 hours drying it out so they could read my story and write to my family like I requested,” says Peter, 44. “I couldn’t believe it —that after all these years my bottle had turned up and with its contents still undamaged.”Katherine posted him his letter, money and some broken glass from his bottle, placed in a tiny box as a special souvenir. These special items now share pride of place among photos of Peter’s Atlantic voyage. “I can’t express what this old letter means to me,” Peter says. “It givesme a sense of hope and belief. It’s something special to share with my children as they grow up.”21. Peter had the idea of a message bottle because ________.A. He missed his family very much.B. He regretted running a risk on the ocean.C. He hoped to share his experience with others.D. He though t he might lose his life on the voyage.22. As for the survival of the message bottle, Peter ______.A. felt very certain about itB. did much research on itC. mentioned it in a letterD. thought it never reached land23. Which statement is TRUE to the message bottle?A.It contained Peter’s special souvenir.B. Certain pieces of glass could be found in it.C. There was water in it when Katherine found it.D. It was marked with a map of geographical coordinates.BThe popularity of farmers’ markets combined with concerns over food security is making the number of school leavers taking agriculture courses increase rapidly.Large numbers of 16-to-18-year-olds are taking qualifications in subjects such as agriculture and food in spite of a lack of background in farming. Jeanette Dawson, head of Bishop Burton College, said women were also taking up courses at an increasing rate. She said it was related to a series of food scandals (丑闻), such as the discovery of horse-meat in frozen meals sold in the major supermarkets.But the movement was also promoted by an increased awareness of the importance of local food and produce, with events such as farmers’ markets seen as increasingly popular, even among young people, she said.Figures showed almost 54,500 under-19s took agriculture and animal care qualifications in 2013-2014. It was up by almost two-thirds in just seven years from 33,000 in 2005-2006. The number of students taking courses in “land-based subjects” has increased in the last 12 months alone.The subjects are also increasingly popular at university-level. Mrs. Dawson said there were a lot of young people who weren’t from farming backgrounds. But there had been a growth in the number of them accessing agriculture programmes with a view to a career in the industry. She said agriculture was an “applied science, with the great outdoors as its laboratory”.“We have benefited from the interest that the public takes now in food,” she said. “I never underestimate the ability of teenagers to pick up on it. The more it is in the media, the more it interests young people. Whenever I go in my local pub, it has on the blackboard where the meat is from. Everyone is interested in buying local food and knowing where their food is from.”The comments were made as Bishop Burton prepares to expand with a £13 million projectwhose a new site —due to open in September 2016 —will be the college’s second in the county, in addition to one at nearby Riseholme.The college is currently locked in a battle with Lincoln University over ownership of the Riseholme campus, which is used for courses such as agriculture and animal management. And the university plans to build houses on the site.24. What is making large numbers of students take agriculture courses?A. Colleges are offering more agriculture courses.B. Students don’t need to have a farming backgroundC. People are increasingly concerned about food security.D. Farmers come to regard agriculture as an applied science.25. What can we learn from the passage?A. Bishop Burton College is going to build a new campus.B. People never cared about where the food was from before.C. The number of women taking agriculture courses is decreasing.D. Students need a farming background in taking agriculture courses.26. What does the writer mainly discuss in the passage?A. Job opportunity.B. Food safety measur es.C. Expansion of university.D. Popularity of agriculture courses.CMany good parents feel that they have to punish their children once in a while. But other parents find that they can successfully manage without ever having to punish. A lot depends on how the parents were brought up. If they were punished occasionally for good reason, they naturally expect to have to punish in similar situations. And if they were kept in line by positive guidance alone, they tend to find that they can do the same with their children.Actually, there are also a fair number of poorly-behaved children. The parents of some of them punish a lot, and the parents of others never do. So we can’t say that punishment always works or that lack of it always works. It all depends on the nature of the parents’ discipline (规矩) in general.Before we go further with the subject of punishment, we ought to realize that it is never the main element in discipline. It’s only a reminder that the parent s feel strongly about what they say. We have all seen children who have been slapped and beaten on their bottoms, and yet remained ill-behaved.The main source of good discipline is growing up in a loving family —being loved and learning to love in return. Habitual criminals are people who in childhood were never loved enough to make much difference to them. Many of them were also abused or were witnesses to significant violence.Another vital element is children’s intense desire to be as much like their p arents as possible. They work particularly hard at being polite, civilized and responsible. They pretend very seriously to take care of their dolls, keep house and go out to work, just as they see theirparents do.In automobile terms, the child supplies the power, but the parents have to do the steering. For most children, most of the time, a disapproving glance or word from a parent is enough to direct the child back on the right track. Children’s motives are good, but they don’t have the experience or th e stability to stay on the road. The parents have to keep saying, “We hold hands when we cross the street,” “It’s time to go to bed so you’ll grow up to be big and strong,” and on and on.27. Parents’ attitude towards punishment is decided by _______.A. their role of punishmentB. their power over their childrenC. their ill-treatment during childhoodD. their experiences of being brought up28. The author probably believes that ________.A. children from a loving family will behave wellB. children will grow into loving others naturallyC. punishment is a must when it is necessaryD. punishment helps parents behave children properly29. The underlined word “steering” in the last paragraph most probably means ________.A. learningB. drivingC. workingD. pushing30. What might be the best title for the passage?A. Punishment and Discipline.B. Is Punishment Necessary?C. Parents’ Role Model.D. Like Father, Like Son.第二节(共5小题;每小题2分,满分10分)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,并在答题纸上将该选项标号涂黑。

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