江西省抚州市2015-2016学年高二上学期期末质量检测英语试卷
2015-2016学年江西省抚州市高二(上)期末数学试卷(文科)(解析版)

2015-2016学年江西省抚州市高二(上)期末数学试卷(文科)一、选择题1.已知命题p:∀x∈R,x2+2x+2>0,则¬p是()A.∃x0∈R,x02+2x0+2<0 B.∀x∈R,x2+2x+2<0C.∃x0∈R,x02+2x0+2≤0 D.∀x∈R,x2+2x+2≤02.抛物线y=x2的准线方程是()A.B.C.y=﹣1 D.y=﹣23.现要完成下列3项抽样调查:①从10盒黑色水笔芯中抽取2盒进行质量检查.②天空影院有32排,每排有60个座位,《速度与激情7》首映当晚,恰好坐满了观众,电影结束后,为了听取意见,需要请32名观众进行座谈.③抚州市某中学共有160名教职工,其中一般教师120名,行政人员16名,后勤人员24名.为了了解教职工对学校在校务公开方面的意见,拟抽取一个容量为20的样本.请问较为合理的抽样方法是()A.①系统抽样,②简单随机抽样,③分层抽样B.①简单随机抽样,②分层抽样,③系统抽样C.①简单随机抽样,②系统抽样,③分层抽样D.①分层抽样,②系统抽样,③简单随机抽样4.在第29届北京奥运会上,中国健儿取得了51金、21银、28铜的好成绩,稳居金牌榜榜首,由此许多人认为中国进入了世界体育强国之列,也有许多人持反对意见,有网友为此进行了调查,在参加调查的2548名男性中有1560名持反对意见,2452名女性中有1200名持反对意见,在运用这些数据说明性别对判断“中国进入了世界体育强国之列”是否有关系时,用什么方法最有说服力()A.平均数与方差B.回归直线方程C.独立性检验D.概率5.一玩具车沿某一斜面自由滑下,测得下滑的水平距离s与时间t之间的函数关系为s=t2,则t=3时,此玩具车在水平方向的瞬时速度为()A.B.C.2 D.36.为了帮家里减轻负担,高二学生小明利用暑假时间打零工赚学费.他统计了其中五天的工作时间x(小时)与报酬y(元)的数据,分别是(2,30),(4,40),(5,m),(6,50),(8,70),他用最小二乘法得出y与x的线性回归方程为y=6.5x+17.5,则其中m为()A.45 B.50 C.55 D.607.己知命题“∃x∈R,2x2+(a﹣1)x+≤0是假命题,则实数a的取值范围是()A.(﹣∞,﹣1)B.(﹣1,3)C.(﹣3,+∞)D.(﹣3,1)8.试验中将两种基因冷冻保存,若两种基因各保存2个.在保存过程中有两个基因失效,则恰有一种基因两个都失效的概率为()A.B.C.D.9.以下有四种说法,其中正确说法的个数为()(1)“b2=ac”是“b为a、c的等比中项”的充分不必要条件;(2)“|a|>|b|”是“a2>b2”的充要条件;(3)“A=B”是“tanA=tanB”的充分不必要条件;(4)“a+b是偶数”是“a、b都是偶数”的必要不充分条件.A.0个B.1个C.2个D.3个10.若函数y=x3+x2+mx+1是R上的单调函数,则实数m的取值范围是()A.(,+∞)B.(﹣∞,]C.[,+∞)D.(﹣∞,)11.过双曲线左焦点F1且倾斜角为45°的直线交双曲线右支于点P,若线段PF1的中点Q落在y轴上,则此双曲线的离心率为()A.B.C.D.12.已知函数f(x)的导函数图象如图所示,若△ABC为钝角三角形,且∠C为钝角,则一定成立的是()A.f(cosA)<f(cosB)B.f(sinA)<f(cosB)C.f(sinA)>f(cosB)D.f(sinA)>f(sinB)二、填空题13.已知某一段公路限速70公里/小时,现抽取400辆通过这一段公路的汽车的时速,其频率分布直方图如图所示,则这400辆汽车中在该路段超速的有辆.14.设函数y=f(x)在区间[0,1]上的图象是连续不断的一条曲线,且恒有0≤f(x)≤1,可以用随机模拟方法近似计算出曲线y=f(x)及直线x=0,x﹣1=0,y=0所围成部分的面积S.先产生两组(每组100个)区间[0,1]上的均匀随机数x1,x2,x3,…x100和y1,y2,y3,…,y100,由此得到100个点(x i,y i)(i=1,2,3,…100),若发现其中满足y i>f(x i)(i=1,2,3,…100)的点有32个,那么由随机方法可以得到S的近似值为.15.如图所示的算法框图中,语句“输出i”被执行的次数为.16.给出下列命题:①双曲线﹣=1与椭圆+y2=1有相同的焦点;②过点P(2,1)的抛物线的标准方程是y2=x;③已知双曲线C:﹣=1,若它的离心率为,则双曲线C的一条渐近线方程为y=2x;④椭圆+=1的两个焦点为F1,F2,P为椭圆上的动点,△PF1F2的面积的最大值为2,则m的值为2.其中真命题的序号为.(写出所有真命题的序号)三、解答题17.对甲、乙两名自行车赛手在相同条件下进行了6次测试,测得他们的最大速度(单位:(2)分别求出甲、乙两名自行车赛手最大速度(m/s)数据的平均数、极差、方差,并判断选谁参加比赛比较合适?18.命题p:实数x满足<0,其中m<0;命题q:实数x满足x2﹣x﹣6<0或x2+2x﹣8<0,且¬p是¬q的必要不充分条件,求m的取值范围.19.某大学餐饮中心为了解新生的饮食习惯,在全校一年级学生中进行了抽样调查,调查结方面有差异”;(2)已知在被调查的北方学生中有5名数学系的学生,其中2名喜欢甜品,现在从这5名学生中随机抽取2人,求恰有1人喜欢甜品的概率.附:K2=,=ax2﹣4bx+1(1)设集合A={﹣1,2,4}和B={﹣2,1,2},分别从集合A,B中随机取一个数作为a 和b,求函数y=f(x)在区间[1,+∞)上是增函数的概率.(2)设点(a,b)是区域内的随机点,求函数f(x)在区间[1,+∞)上是增函数的概率.21.设函数f(x)=lnx﹣ax2﹣bx,(1)当a=,b=时,求f(x)的最大值;(2)令F(x)=f(x)+ax2+bx+(0<x≤3),其图象上任意一点P(x0,y0)处切线的斜率k≤2恒成立,求实数a的取值范围.22.曲线C上任一点到点F1(﹣4,0),F2(4,0)的距离之和为10.曲线C的左顶点为A,点P在曲线C上,且PA⊥PF2.(1)求曲线C的方程;(2)求点P的坐标;(3)在y轴上求一点M,使M到曲线C上点的距离最大值为4.2015-2016学年江西省抚州市高二(上)期末数学试卷(文科)参考答案与试题解析一、选择题1.已知命题p:∀x∈R,x2+2x+2>0,则¬p是()A.∃x0∈R,x02+2x0+2<0 B.∀x∈R,x2+2x+2<0C.∃x0∈R,x02+2x0+2≤0 D.∀x∈R,x2+2x+2≤0【考点】命题的否定.【分析】直接写出特称命题的否定得答案.【解答】解:命题p:∀x∈R,x2+2x+2>0,则¬p:∃x0∈R,x02+2x0+2≤0.故选:C.2.抛物线y=x2的准线方程是()A.B.C.y=﹣1 D.y=﹣2【考点】抛物线的简单性质.【分析】将抛物线方程化为标准方程,由抛物线x2=2py的准线方程为y=﹣,计算即可得到所求准线方程.【解答】解:抛物线y=x2即为x2=4y,由抛物线x2=2py的准线方程为y=﹣,可得x2=4y的准线方程为y=﹣1.故选:C.3.现要完成下列3项抽样调查:①从10盒黑色水笔芯中抽取2盒进行质量检查.②天空影院有32排,每排有60个座位,《速度与激情7》首映当晚,恰好坐满了观众,电影结束后,为了听取意见,需要请32名观众进行座谈.③抚州市某中学共有160名教职工,其中一般教师120名,行政人员16名,后勤人员24名.为了了解教职工对学校在校务公开方面的意见,拟抽取一个容量为20的样本.请问较为合理的抽样方法是()A.①系统抽样,②简单随机抽样,③分层抽样B.①简单随机抽样,②分层抽样,③系统抽样C.①简单随机抽样,②系统抽样,③分层抽样D.①分层抽样,②系统抽样,③简单随机抽样【考点】简单随机抽样.【分析】观察所给的3组数据,根据3组数据的特点,把所用的抽样选出来①简单随机抽样,②系统抽样,③分层抽样.【解答】解;观察所给的四组数据,①从10盒黑色水笔芯中抽取2盒进行质量检查,简单随机抽样,②将总体分成均衡的若干部分指的是将总体分段,在第1段内采用简单随机抽样确定一个起始编号,在此编号的基础上加上分段间隔的整倍数即为抽样编号,系统抽样,③个体有了明显了差异,所以选用分层抽样法,分层抽样,故选:C.4.在第29届北京奥运会上,中国健儿取得了51金、21银、28铜的好成绩,稳居金牌榜榜首,由此许多人认为中国进入了世界体育强国之列,也有许多人持反对意见,有网友为此进行了调查,在参加调查的2548名男性中有1560名持反对意见,2452名女性中有1200名持反对意见,在运用这些数据说明性别对判断“中国进入了世界体育强国之列”是否有关系时,用什么方法最有说服力()A.平均数与方差B.回归直线方程C.独立性检验D.概率【考点】独立性检验的基本思想.【分析】这是一个独立性检验应用题,处理本题时要注意根据在参加调查的2548名男性中有1560名持反对意见,2452名女性中有1200名持反对意见,计算出K2的值,并代入临界值表中进行比较,不难得到答案.【解答】解:在参加调查的2548名男性中有1560名持反对意见,2452名女性中有1200名持反对意见,可得:K2==83.88>10.828故有理由认为性别对判断“中国进入了世界体育强国之列”是否有关系故利用独立性检验的方法最有说服力.故选C5.一玩具车沿某一斜面自由滑下,测得下滑的水平距离s与时间t之间的函数关系为s=t2,则t=3时,此玩具车在水平方向的瞬时速度为()A.B.C.2 D.3【考点】变化的快慢与变化率.【分析】根据导数的几何意义求函数的导数s′(3)即可.【解答】解:∵s=t2,∴函数的导数s′(t)=t,则当t=3时,此玩具车在水平方向的瞬时速度为s′(3)=3,故选:D.6.为了帮家里减轻负担,高二学生小明利用暑假时间打零工赚学费.他统计了其中五天的工作时间x(小时)与报酬y(元)的数据,分别是(2,30),(4,40),(5,m),(6,50),(8,70),他用最小二乘法得出y与x的线性回归方程为y=6.5x+17.5,则其中m为()A.45 B.50 C.55 D.60【考点】线性回归方程.【分析】求出=5,=,利用y与x的线性回归方程为y=6.5x+17.5,代入计算求出m,即可得出结论.【解答】解:由题意,=5,=,∵y与x的线性回归方程为y=6.5x+17.5,∴=6.5×5+17.5,∴m=60.故选:D.7.己知命题“∃x∈R,2x2+(a﹣1)x+≤0是假命题,则实数a的取值范围是()A.(﹣∞,﹣1)B.(﹣1,3)C.(﹣3,+∞)D.(﹣3,1)【考点】命题的真假判断与应用.【分析】写出原命题的否命题,据命题p与¬p真假相反,得到恒成立,令判别式小于0,求出a的范围.【解答】解:∵“∃x∈R,2x2+(a﹣1)x+≤0”的否定为“∀x∈R,“∵“∃x∈R,2x2+(a﹣1)x+”为假命题∴“为真命题即恒成立∴解得﹣1<a<3故选B8.试验中将两种基因冷冻保存,若两种基因各保存2个.在保存过程中有两个基因失效,则恰有一种基因两个都失效的概率为()A.B.C.D.【考点】n次独立重复试验中恰好发生k次的概率.【分析】根据题意,所有的可能情况共计种,而恰有一种基因两个都失效的情况有2种,从而求得恰有一种基因两个都失效的概率.【解答】解:所有的可能情况共计=6种,而恰有一种基因两个都失效的情况有2种,故恰有一种基因两个都失效的概率为=,故选:B.9.以下有四种说法,其中正确说法的个数为()(1)“b2=ac”是“b为a、c的等比中项”的充分不必要条件;(2)“|a|>|b|”是“a2>b2”的充要条件;(3)“A=B”是“tanA=tanB”的充分不必要条件;(4)“a+b是偶数”是“a、b都是偶数”的必要不充分条件.A.0个B.1个C.2个D.3个【考点】必要条件、充分条件与充要条件的判断.【分析】通过举出反例得到(1)不正确;根据绝对值的意义,得到(2)正确;根据正切函数的定义域和周期性,得到(3)不正确;根据奇数、偶数的性质,得到(4)正确.由此可得本题的答案.【解答】解:对于(1),当“b2=ac”成立时,其中有可能a=b=0,不一定得到“b为a、c的等比中项”,故“b2=ac”不是“b为a、c的等比中项”的充分条件,故(1)不正确;对于(2),两个数的平方的大小关系与它们平方的大小关系是等价的,故“|a|>|b|”是“a2>b2”的充要条件,得(2)正确;对于(3),当A=B=90°时,正切没有意义,推不出tanA=tanB.反之,当tanA=tanB时,可得A=B+k•180°,k∈Z.也不一定有A=B成立故“A=B”是“tanA=tanB”的既不充分也不必要条件,得(3)不正确;对于(4),当a+b是偶数时,可能a、b都是奇数,也可能a、b都是偶数;反之,当a、b都是偶数时,必定有a+b是偶数.故“a+b是偶数”是“a、b都是偶数”的必要不充分条件,得(4)正确.综上所述,正确的说法有(2)、(4),共2个故选:C10.若函数y=x3+x2+mx+1是R上的单调函数,则实数m的取值范围是()A.(,+∞)B.(﹣∞,]C.[,+∞)D.(﹣∞,)【考点】利用导数研究函数的单调性.【分析】对函数进行求导,令导函数大于等于0在R上恒成立即可.【解答】解:若函数y=x3+x2+mx+1是R上的单调函数,只需y′=3x2+2x+m≥0恒成立,即△=4﹣12m≤0,∴m≥.故选C.11.过双曲线左焦点F1且倾斜角为45°的直线交双曲线右支于点P,若线段PF1的中点Q落在y轴上,则此双曲线的离心率为()A.B.C.D.【考点】双曲线的简单性质.【分析】设F1(﹣c,0),P(x0,y0),依题意可求得直线PF1的方程为:y=x+c,△MF1O 为直角三角形,经分析知OM为直角三角形PF1F2的中位线,从而可求得|PF1|与|PF2|,利用双曲线定义及离心率公式即可求得答案.【解答】解:设F1(﹣c,0),P(x0,y0),依题意,直线PF1的方程为:y=x+c,设直线PF1与y轴的交点为M(0,m),∵M为线段PF1的中点,∴=0,m=.∴x0=c,∴y0=x0+c=2c,m=c.∵△MF1O为直角三角形,∠PF1O=45°,∴|MF1|=|OM|=c;又M为线段PF1的中点,O为F1F2的中点,∴OM为直角三角形PF1F2的中位线,∴|PF1|=2c,|PF2|=2c,∴2a=|PF1|﹣|PF2|=(2﹣2)c,∴其离心率e==1+.故选:D.12.已知函数f(x)的导函数图象如图所示,若△ABC为钝角三角形,且∠C为钝角,则一定成立的是()A.f(cosA)<f(cosB)B.f(sinA)<f(cosB)C.f(sinA)>f(cosB)D.f(sinA)>f(sinB)【考点】利用导数研究函数的单调性.【分析】根据导函数符号和函数的单调性的关系,可得函数f(x)在(0,1)上为增函数.再根据△ABC为钝角三角形,得sinA<cosB,从而得出答案.【解答】解:由函数f(x)的导函数图象可得,导函数在(0,1)上大于零,故函数f(x)在(0,1)上为增函数.再根据△ABC为钝角三角形,∴A+B<,∴0<A<﹣B,∴sinA<cosB,∴f(sinA)<f(cosB),故选:B.二、填空题13.已知某一段公路限速70公里/小时,现抽取400辆通过这一段公路的汽车的时速,其频率分布直方图如图所示,则这400辆汽车中在该路段超速的有80辆.【考点】频率分布直方图.【分析】求出[70,80)组得小长方形面积即频率,乘以400即为该组的频数.【解答】解:[70,80)的频率为1﹣(0.01×10+0.03×10+0.04×10)=0.2.∴[70,80)的频数为0.2×400=80.故答案为80.14.设函数y=f(x)在区间[0,1]上的图象是连续不断的一条曲线,且恒有0≤f(x)≤1,可以用随机模拟方法近似计算出曲线y=f(x)及直线x=0,x﹣1=0,y=0所围成部分的面积S.先产生两组(每组100个)区间[0,1]上的均匀随机数x1,x2,x3,…x100和y1,y2,y3,…,y100,由此得到100个点(x i,y i)(i=1,2,3,…100),若发现其中满足y i>f(x i)(i=1,2,3,…100)的点有32个,那么由随机方法可以得到S的近似值为.【考点】定积分.【分析】由题意知本题是求∫01f(x)dx,而它的几何意义是函数f(x)(其中0≤f(x)≤1)的图象与直线x=0和直线x﹣1=0,y=0所围成图形的面积,积分得到结果.【解答】解:∵∫01f(x)dx的几何意义是函数f(x)(其中0≤f(x)≤1)的图象与直线x=0和直线x﹣1=0,y=0所围成图形的面积,∴根据几何概型易知∫01f(x)dx≈.故答案为:.15.如图所示的算法框图中,语句“输出i”被执行的次数为34.【考点】程序框图.【分析】根据框图的流程依次计算运行的结果,判断第n次运行i的值,当满足i>100时,求最小的正整数n的值.【解答】解:由程序框图知:第一次运行i=1+3=4;第二次运行i=1+3+3=7;第三次运行i=1+3+3+3=10;…第n次运行i=4+(n﹣1)×3.当i=1+3n>100即n>33时,程序运行终止,∴运行的次数为34.故答案为:34.16.给出下列命题:①双曲线﹣=1与椭圆+y2=1有相同的焦点;②过点P(2,1)的抛物线的标准方程是y2=x;③已知双曲线C:﹣=1,若它的离心率为,则双曲线C的一条渐近线方程为y=2x;④椭圆+=1的两个焦点为F1,F2,P为椭圆上的动点,△PF1F2的面积的最大值为2,则m的值为2.其中真命题的序号为①③.(写出所有真命题的序号)【考点】圆锥曲线的共同特征;曲线与方程.【分析】对4个命题分别进行判断,即可得出结论.【解答】解:①因为两个曲线的焦点都在x轴上,半焦距c相等都是,所以双曲线﹣=1与椭圆+y2=1有相同的焦点,正确;②过点P(2,1)的抛物线的标准方程是y2=x,还有一条焦点在y轴上的抛物线,不正确;③已知双曲线C:﹣=1,若它的离心率为,则=,=2,∴双曲线C的一条渐近线方程为y=2x,正确;④由解析式知,半焦距长为1,△PF1F2的面积的最大值为2,即bc=2.可得b=2,故m=4,不正确.故答案为:①③.三、解答题17.对甲、乙两名自行车赛手在相同条件下进行了6次测试,测得他们的最大速度(单位:(2)分别求出甲、乙两名自行车赛手最大速度(m/s)数据的平均数、极差、方差,并判断选谁参加比赛比较合适?【考点】极差、方差与标准差;茎叶图.【分析】(1)将数据分类作图;(2)代入平均数,极差,方差公式计算.【解答】解:(1)作出茎叶图如图所示:(2)==32,==32.甲的极差为37﹣27=10,乙的极差为37﹣27=10,S2=[(27﹣32)2+(37﹣32)2+(29﹣32)2+(36﹣32)2+(33﹣32)2+(30﹣32)2]=.2=[(32﹣32)2+(28﹣32)2+(37﹣32)2+(33﹣32)2+(27﹣32)2+(35﹣32)2]=.S乙2<S2,∴乙的成绩更稳定,选乙参加比赛比较合适.∵S乙18.命题p:实数x满足<0,其中m<0;命题q:实数x满足x2﹣x﹣6<0或x2+2x﹣8<0,且¬p是¬q的必要不充分条件,求m的取值范围.【考点】必要条件、充分条件与充要条件的判断.【分析】分别解出命题p,q的解集A,B.由于¬p是¬q的必要不充分条件,等价于q是p的必要不充分条件,即A是B的真子集,即可得出.【解答】解:对于命题P:实数x满足<0,其中m<0,∴(x+m)(x+3m)<0,解得﹣m<x<﹣3m,可得A=(﹣m,﹣3m).对于命题q:实数x满足x2﹣x﹣6<0或x2+2x﹣8<0,解得﹣2<x<3,或﹣4<x<2,可得解集B=(﹣4,3).∵¬p是¬q的必要不充分条件,等价于q是p的必要不充分条件,∴A是B的真子集,∴﹣3m≤3,则m≥﹣1,又m<0.∴m∈[﹣1,0).19.某大学餐饮中心为了解新生的饮食习惯,在全校一年级学生中进行了抽样调查,调查结方面有差异”;(2)已知在被调查的北方学生中有5名数学系的学生,其中2名喜欢甜品,现在从这5名学生中随机抽取2人,求恰有1人喜欢甜品的概率.附:K2=,【分析】(1)求出K2=2.778,由2.778<3.841,得到没有95%的把握认为“南方学生和北方学生在选用甜品的饮食习惯方面有差异”.(2)设a i表示喜欢甜品的学生,i=1,2,b j表示不喜欢甜品的学生,j=1,2,3.利用列举法能求出恰有1人喜欢甜品的概率.【解答】解:(1)将2×2列联表中的数据代入公式计算,得K2==2.778,由于2.778<3.841,∴没有95%的把握认为“南方学生和北方学生在选用甜品的饮食习惯方面有差异”.…(2)设a i表示喜欢甜品的学生,i=1,2,b j表示不喜欢甜品的学生,j=1,2,3.从其中5名数学系学生中任取2人的一切可能结果所组成的基本事件有:Ω={(a1,a2),(a1,b2),(a1,b3),(a1,b1),(b1,b3),(b2,b3),(a2,b1),(a2,b3),(a2,b2),(b1,b2)},Ω由10个基本事件组成,且这些基本事件的出现是等可能的.用A表示“2人中恰有1人喜欢甜品”这一事件,则A={(a1,b1),(a1,b3),(a1,b2),(a2,b1),(a2,b3),(a2,b2)}.事件A由6个基本事件组成,因而恰有1人喜欢甜品的概率P(A)=.…20.已知关于x的二次函数f(x)=ax2﹣4bx+1(1)设集合A={﹣1,2,4}和B={﹣2,1,2},分别从集合A,B中随机取一个数作为a 和b,求函数y=f(x)在区间[1,+∞)上是增函数的概率.(2)设点(a,b)是区域内的随机点,求函数f(x)在区间[1,+∞)上是增函数的概率.【考点】二次函数的性质;简单线性规划;几何概型.【分析】(1)由二次函数的单调性,可得a>0且﹣≤1,即a>0且2b≤a.运用古典概率的公式,计算即可得到所求;(2)画出不等式组表示的可行域,求得面积,再求区域内满足a>0且2b≤a的三角形的面积,运用几何概率的公式计算即可得到.【解答】解:(1)要使函数y=f(x)在区间[1,+∞)上是增函数,则a>0且﹣≤1,即a>0且2b≤a.所有(a,b)的取法总数为3×3=9个,满足条件的(a,b)有(2,﹣2),(2,1),(4,﹣2),(4,1),(4,2)共5个,所以,所求概率P=;(2)如图,求得区域的面积为×4×4=8.由求得P(,),所以区域内满足a>0且2b≤a的面积为×4×=.所以,所求概率P==.21.设函数f(x)=lnx﹣ax2﹣bx,(1)当a=,b=时,求f(x)的最大值;(2)令F(x)=f(x)+ax2+bx+(0<x≤3),其图象上任意一点P(x0,y0)处切线的斜率k≤2恒成立,求实数a的取值范围.【考点】利用导数求闭区间上函数的最值;利用导数研究曲线上某点切线方程.【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,从而求出函数的最大值即可;(2)求出函数的导数,得到F′(x0)=≤2在x0(0,3]上恒成立,分离参数得:a≥,x0∈(0,3],从而求出a的范围.【解答】解:(1)依题意知f(x)的定义域为(0,+∞)),当a=,b=时,f(x)=lnx﹣x2﹣x,f′(x)=,令f′(x)=0,解得x=1,∵x>0,x=﹣3舍去,当0<x<1时,f′(x)>0,此时f(x)单调递增;当x>1时,f′(x)<0,此时f(x)单调递减.∴f(x)的极大值为f(1)=﹣,此即为f(x)最大值;(2)F(x)=lnx+,x∈(0,3],则有k=F′(x0)=≤2在x0(0,3]上恒成立,∴a≥,x0∈(0,3],所以当x0=时,=,∴a≥.22.曲线C上任一点到点F1(﹣4,0),F2(4,0)的距离之和为10.曲线C的左顶点为A,点P在曲线C上,且PA⊥PF2.(1)求曲线C的方程;(2)求点P的坐标;(3)在y轴上求一点M,使M到曲线C上点的距离最大值为4.【考点】椭圆的简单性质.【分析】(1)由题意可得,曲线C为椭圆,且求出椭圆的长半轴和半焦距长,结合隐含条件求得b,则椭圆方程可求;(2)设出P点坐标,结合PA⊥PF2,以及P在椭圆上联立方程组求得P的坐标;(3)设M(0,m),N(x,y)为椭圆上任意一点,则|MN|2=x2+(y﹣m)2,再由N在椭圆上把x用含有y的代数式表示,配方后分类讨论求得答案.【解答】解:(1)设曲线C上任一点为G,则|GF1|+|GF2|=10,由椭圆的定义得曲线C为椭圆,且a=5,c=4,∴b2=9,∴曲线C的方程为;(2)设P(x1,y1),A(﹣5,0),则,,由PA⊥PF2,得,∴,又P在椭圆上,∴,代入消元得(x0+5)(16x0﹣55)=0,解得或x0=﹣5(舍去),∴P点坐标为;(3)设M(0,m),N(x,y)为椭圆上任意一点,则|MN|2=x2+(y﹣m)2,由得,,代入|MN|2得:=,∴若,则y=﹣3时,|MN|取得最大值为m+3,∴(舍去),若,则y=3时,|MN|取得最大值为﹣m+3,∴(舍去),若,则当y=﹣时,|MN|2取得最大值,解得,综上所述,点.2016年7月8日。
四川省资阳市2015-2016学年高二上学期期末质量检测英语试题解析(解析版)

本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分。
第Ⅰ卷1至8页。
第Ⅱ卷9至10页。
共150分。
考试时间120分钟。
考试结束时,将本试卷和答题卡一并收回。
第Ⅰ卷(选择题共100分)注意事项:1. 答第Ⅰ卷前,考生务必将自己的姓名、考号、考试科目用铅笔涂写在答题卡上。
2. 每小题选出答案后,用铅笔把答题卡上对应题目的答案标号涂黑。
如需改动,用橡皮擦干净后,再选涂其它答案,不能答在试题卷上。
第一部分听力(共两节,满分30分)略第二部分阅读理解(共两节,满分40分)第一节(共15小题;每小题2分,满分30分)阅读下列短文,从每题所给的四个选项(A、B、C和D)中,选出最佳选项,并在答题卡上将该项涂黑。
AAmanda Clement grew up in Hudson, South Dakota. Baseball was always her favorite sport. Once in a while her brother Hank and his friends would let her play first base in their games. More often, however, they asked her to umpire (裁判) for them, because they knew her calls would be fair and there would be no arguing.One day in 1904, Amanda and her mother traveled to Hawarden, Iowa, to watch Hank play for the home team against Hawarden. When they arrived at the ball field, two local teams were waiting to play a preliminary (预备) game. The umpire hadn’t arrived, so Hank argued that the teams should let his sister serve as umpire. The players finally agreed.Amanda, then sixteen and standing five feet, ten inches tall, made perfect calls. She was so good that players for the main game asked her to umpire for them and even offered to pay her. Thus, at sixteen, Amanda Clement became the first paid female baseball umpire of all time. She is honored in the Baseball Hall of Fame in Cooperstown, New York.21. Why did Hank and his friends often ask Amanda to umpire for them?A. Because she called them brothers.B. Because they wanted to make her happy.C. Because no one else wanted to do it for them.D. Because she knew the rules well and was fair.22. Amanda went to Hawarden in order to ______.A. serve as umpireB. watch her brother playC. make moneyD. help the local teams23. Amanda most probably learned how to umpire a baseball game ______.A. in her P. E. classes at schoolB. in an umpire training schoolC. by watching and playing the gamesD. from her mother, a baseball umpire24. Which of the following can be the best title of the passage?A. The Baseball Hall of Fame in CooperstownB. Amanda Clement, First Female UmpireC. Baseball Games in Hawarden, IowaD. A Family of Baseball Fans【答案】21.D22.B23.C24.B【解析】试题分析: Amanda最喜欢棒球,她的哥哥和朋友经常邀请她去当棒球裁判,她熟悉比赛规则并且裁判公平,她成了第一个女棒球裁判。
20152016学年江西省抚州市高二上学期期末质量检测试题 数学(理) word版.doc

2015-2016学年江西省抚州市上学期教学质量期末检测高二数学(理)试题1设命题:,则为 ( )A.B.C.D.2某校三个年级共有24个班,学校为了了解同学们的心理状况,将每个班编号,依次为l到24,现用系统抽样方法,抽取4个班进行调查,著抽到编号之和为48,则抽到的最小编号为( )A. 2B. 3C. 4D. 5 3在长方体ABCD-A 1B 1C 1D 1中,M为AC与BD的交点,若, ,,则下列向量中与相等的向量是()A. B.C. D.4.某产品的广告费用的统计数据如下表与销售额销售额(万元)根据上表可得回归方程中的为9.4,据此模型预报广告费用为6万元时销售额为()A. 63.6万元B. 65.5万元C. 67.7万元D. 72.0万元5执行如图的程序框图,如果输入的N的值是6,那么输出的p的值是()A. 15B. 105C. 120D. 7206下列命题中,真命题是()A. ,使得B.C. 函数有两个零点D. 是的充分不必要条件7已知为双曲线:的左、右焦点,点在上,,则A. B.C. D.8椭圆上有n个不同的点:P 1,P 2,…,P n , 椭圆的右焦点为F,数列{|P n F|}是公差大于的等差数列, 则n的最大值是( )A. 198B. 199C. 200D. 2019“在区间(a,b)上有零点”是“”的________条件A. 充分不必要B. 必要不充分C. 充分必要D. 非充分非必要10设,常数,定义运算“﹡”:,若,则动点的轨迹是()A. 圆B. 椭圆的一部分C. 双曲线的一部分D. 抛物线的一部分11.已知, 是双曲线的上、下焦点,点关于渐近线的对称点恰好落在以为圆心,为半径的圆内,则双曲线的离心率为( )A.B.C.D.12如图,已知平面,、是上的两个点,、在平面内,且,,在平面上有一个动点,使得,则体积的最大值是()A. B. C. D.13现有10个数,它们能构成一个以1为首项,为公比的等比数列,若从这10个数中随机抽取一个数,则它小于8的概率是__________.14在平面几何中有如下结论:正三角形的内切圆面积为,外接圆面积为,则,推广到空间可以得到类似结论;已知正四面体的内切球体积为,外接球体积为,则__________.15观察下面的算式:…,根据以上规律,把(为自然数且)写成这种和式形式,和式中最大的数为__________.16已知集合,若对于任意,都存在,使得成立,则称集合M是“垂直对点集”.给出下列四个集合:①;②;③;④.其中是“垂直对点集”的序号是__________.17.(本小题满分10分)已知命题:不等式;命题:只有一个实数满足不等,若且是真命题,求的取值范围集合.18(本小题满分12分)一个盒子中装有个编号依次为、、、、的球,这个球除号码外完全相同,有放回的连续抽取两次,每次任意地取出一个球.(1) 求事件“取出球的号码之和不小于”的概率;(2) 设第一次取出的球号码为,第二次取出的球号码为,求事件"点落在直线上方”的概率.19(本题满分12分)已知数列, , ,…, ,…,计算、、、,根据计算结果,猜想的表达式,并用数学归纳法进行证明.20.(本题满分12分)经销商经销某种农产品,在一个销售季度内,每售出t该产品获利润元,未售出的产品,每t亏损元.根据历史资料,得到销售季度内市场需求量的频率分布直方图,如图所示.经销商为下一个销售季度购进了t该农产品,以(单位:t, )表示下一个销售季度内的市场需求量, (单位:元)表示下一个销售季度内销商该农产品的利润(1)将表示为的函数;(2)根据直方图估计利润不少于57000元的概率;(3)在直方图的需求量分组中,以各组的区间中点值代表该组的各个值,需求量落入该区间的频率作为需求量取该区间中点值的概率(例如:若,则取,且的概率等于需求量落入的概率),求利润的平均值.21(本小题满分12分)如图,在三棱锥中,平面平面,且,.(1)求三棱锥的体积;(2)求直线与平面所成角的正弦值.22(本小题满分12分)已知椭圆C: 离心率,短轴长为.(1)求椭圆的标准方程;(2)如图,椭圆左顶点为A,过原点O的直线(与坐标轴不重合)与椭圆C交于P,Q两点,直线PA,QA分别与y轴交于M,N两点.试问以MN为直径的圆是否经过定点(与直线PQ的斜率无关)?请证明你的结论.2015-2016学年抚州市上学期高二年级期末质量检测数学试题参考答案(理科)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.)二、填空题(本大题共4小题,每小题5分,共20分) 13.35 271.1415. 21m m +- 16.③④ 三、解答题:(本大题共6小题,满分70分,解答应写出文字说明,证明过程或演算步骤). 17.解:由2533a a --≥,解得),6[]1,(+∞⋃--∞∈a ,p ⌝为)6,1(-.........4分对于:q 由题意知00114)22(2=⇒=⨯-=∆a a a 或211=a .........8分 若p ⌝且q 是真命题则}211,0{∈a .........10分 18.(1)取出球的号码之和不小于6的频数为:15532515)(==A P .........6分 (2) 点),(y x 落在直线 1+=x y 上方的有:(1,3),(1,4),(1,5),(2,4),(2,5),(3,5);共6种.所以:256)(=B P .........12分19.分析 本题考查观察、分析、归纳、发现规律的能力,考查数学归纳法在等式证明中的应用.在用观察法求数列的通项公式时,要注意观察项与项数的关系. 解 1S =411⨯=41; 2S =41+741⨯=72;3S =72+1071⨯=103; 4S =103+13101⨯=134.可以看到,上面表示四个结果的分数中,分子与项数n 一致,分母可用项数n 表示为3n +1.于是可以猜想13+=n nS n . .........5分 下面我们用数学归纳法证明这个猜想. (1)当n =1时,左边=S 1=41, 右边=13+n n =1131+⨯=41,猜想成立..........7分(2)假设当n =k (k ∈N*)时猜想成立,即411⨯+741⨯+1071⨯+…+)13)(23(1+-k k =13+k k, 那么, 411⨯+741⨯+1071⨯+…+)13)(23(1+-k k +]1)1(3][2)1(3[1++-+k k.1)1(31)43)(13()1)(13()43)(13(143)43)(13(1132+++=++++=++++=++++=k k k k k k k k k k k k k k所以,当n =k +1时猜想也成立.根据(1)、(2),可知猜想对任何n ∈N*都成立. .........12分 20.(1)当)130,100[∈X 时,39000800)130(300500-=--=X X X T ,当]150,130[∈X 时,65000130500=⨯=T ,⎩⎨⎧≤≤<≤-=∴150130,65000130100,3900800X X X T ..........4分 (2)由(1)知利润T 不少于57000即为:150120≤≤X , 由直方图可知需求量]150,120[∈X 的频率为7.0,∴利润T 不少于57000元的概率估计值为7.0..........8分 (3)T 的平均值为594004.0650003.0610002.0530001.045000=⨯+⨯+⨯+⨯..........12分 21.解:(1)取AC 中点O ,连结BO PO ,, PC PA =,BC AB =,∴AC OB AC OP ⊥⊥,, 又 平面⊥APC 平面ABC ,∴ABC OP 面⊥,OB OP ⊥,∴222PB OB OP =+,即1641622=-+-OC OC ,得2=OC ,则14,2,2===OP OB OA ,22=AC ,22222121=⋅⋅=⋅⋅=∴∆OB AC S ABC .∴31421423131=⋅⋅=⋅⋅=∆-OP S V ABC ABC P ...........6分 (2)方法一 :分别以OP OC OB 、、为z y x 、、轴,建立空间直角坐标系.得)14,0,0(),0,2,0(),0,0,2(),0,2,0(),0,0,0(P C B A O -,∴)0,2,2(-=BC ,)14,0,2(-=BP ,设平面PBC 的法向量),,(z y x n =.由0,0=⋅=⋅n BP n BC 得方程组⎪⎩⎪⎨⎧=+-=+-0142022z x y x ,取1=z ,得)1,7,7(=n .)0,2,2(=AB ,∴15210152142||||,cos ==⋅>=<n PA n AB . 故直线AB 与平面PBC 所成角的正弦值为15210...........12分方法二 :设点A 到平面PBC 的距离为d ,作H BC BC PH 于点交⊥,则15142222=-=-=HC PC PH ,∴151522121=⨯⨯=⋅=∆PH BC S PBC∴151423142153131=⇒=⋅⋅=⋅⋅⇒=∆--d d d S VV PBC PBC A ABC P ∴直线AB 与平面PBC所成角的正弦值为15210152142==AB d . 22.解. (1)由短轴长为,得b =,由c e a ===,得224,2a b ==.∴椭圆C 的标准方程为22142x y +=. .........4分(2)以MN 为直径的圆过定点(F .证明如下:设00(,)P x y ,则00(,)Q x y --,且2200142x y +=,即22024x y +=, ∵(2,0)A -,∴直线PA 方程为:00(2)2y y x x =++,∴002(0,)2y M x + 直线QA 方程为:00(2)2y y x x =+-,∴002(0,)2y N x -, 以MN 为直径的圆为000022(0)(0)()()022y y x x y y x x --+--=+- 【或通过求得圆心00202(0,)4x y O x '-,0204||4yr x =-得到圆的方程】即222000220044044x y y x y y x x +-+=--,∵220042x y -=-,∴2200220x x y y y ++-=, 令0y =,则220x -=,解得x =.∴以MN 为直径的圆过定点(F . .........12分。
15—16学年上学期高二期末考试英语试题(附答案)(16)

福州八中2015—2016学年第一学期期末考试高二英语选修6考试时间:120分钟试卷满分:150分2016.1.26(计分100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. How much money does the man have?A. £30.B. £45.C. £75.2. Where will the woman go today?A. To a shop.B. To a gym.C. To a dentist’s.3. What is the man trying to do?A. Ask the time.B. Find a place.C. Get a phone number.4. What are the speakers discussing?A. Whether to order more products.B. When to start the autumn sale.C. How to cut business costs.5. What does the man mean?A. He’ll follow the doctor’s advice.B. He’ll wait till he’s well again.C. He’ll drink some wine.第二节听下面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。
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。
听第6段材料,回答第6、7题。
6. Where are the speakers?A. At school.B. At a store.C. At home.7. What color jacket will the girl take?A. Green.B. Blue.C. Yellow.听第7段材料,回答第8、9题。
高二英语-2015-2016学年高二上学期暑期检测(二)英语试题

高二英语暑期检测(二)一、单项填空(共15小题;每小题2分,满分30分)请认真阅读下面各题,从题中所给的A、B、C、D四个选项中,选出最佳选项。
1. The murderer was brought in, with his hands _______ behind his back.A. being tiedB. tiedC. to be tiedD. having tied2. It is ________ that people will not agree with what the president said at the meeting.A. certainB. sureC. certainlyD. surely3. When do you think _______ visit her uncle?A. does she go toB. will she go toC. she goesD. she will go to4. My father made me a promise _______ I got a good mark he would buy me a present.A. thatB. whichC. that ifD. if5. The fact ______ he is an orphan is well known.A. whatB. whichC. thatD. /6. Like many other great people, he had _______ lots of difficulties and hardships before he eventually succeeded.A. gone throughB. got acrossC. gone overD. got into7. I spent a(n) _______ day making phone calls, only to be told over and over that there was no empty room.A. peacefulB. happyC. entireD. special8. Richard ________ be able to support his large family by teaching evening classes, though he works hard.A. should notB. mustn’tC. might notD. can’t9. We all have ______ part to play in making the earth _______ cleaner and greener world to live in.A. a; theB. the; aC. the; theD. a; a10. What impressed me most was that they never lose heart, _______ they had failed many times.A. even thoughB. whileC. unlessD. even so11. Next week, the professor ________ to New York for a three-day meeting.A. has flownB. will be flyingC. is flyingD. would fly12. —How terrible! The water has been seriously polluted in this area!—________.A. So the air hasB. So has the airC. So does the airD. So the air does13. —Tom, do you think it is a good idea that learning English through watching English movies?—Yes, English movies often make good teaching ________.A. evidenceB. experienceC. materialD. information14. —How do you feel about your training in the field?—Well, it’s really good to get back to ______ after living in a tent for two weeks!A. contributionB. conclusionC. organizationD. civilization15. According to the new regulation, an ID card is _______ passengers have to present whenbuying railway tickets.A. thatB. whatC. whenD. whether二、完形填空(共20小题;每小题2分,满分40 分)请认真阅读下面短文,从短文后各题所给的A、B、C、D四个选项中,选出最佳选项,并在答题卡上将该项涂黑。
北京市临川学校2015-2016学年高二上学期期末考试英语试题含答案

北京临川学校2015-2016第一学期期末考试高二英语试卷第Ⅰ卷(选择题)第一部分:听力(分两节,共20小题,每小题1.5分,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 did the woman do last night?A. She went to pick up her brotherB. She watched a movie at homeC. She drove her brother to the airport2.Where does the conversation take place?A. Over the phoneB.At a storeC. At home3.How much did the digital camera cost the woman?A. $60B. $100C. $1204.What does the woman think of the man’s speech?A. TouchingB. BoringC. Exciting5.What will the woman’s brother do this weekend?A. StudyB. Go hikingC. Take an exam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。
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7题。
6.Where does the man want to go?A. To a hotelB. To a kindergartenC. To his aunt’s7.How long should the man walk after turning right?A. 10 minutesB. 15 minutesC. 20 minutes听第7段材料,回答第8、9题。
江西省抚州市南城一中等七校高二英语下学期期末考试试题(扫描版)
江西省抚州市南城一中等七校2015-2016高二英语下学期期末考试试题(扫描版)2015——2016学年度下学期高中学生学业发展水平测试高二英语试卷参考答案听力答案1-5.BAACA 6-10.ABBCB 11-15.ACACA 16-20.BCCBC阅读理解21-23. ADB 24-27.BDCD 28-31.CABD 32-35.CABD 36-40. EACBF完形填空41-45.BCBAD 46-50. CADDB 51-55.BCAAD 56-60.CBDAC语法填空61. for 62. were painted 63.walls 64.and 65. was 66. to hear 67. suddenly 68.The 69. rocking 70. hid短文改错Dear Tom,The Palace Museum is also call the Forbidden City. It took 200,000 workers more than 13 yearscalled∧build the Forbidden City. The Forbidden City was finished for 1420. The most largest museumto inin the world , the Palace Museum, hold cultural treasures from the past 5,000 years of Chineseholdshistory. The city’s palaces have 9,999 rooms total. Chinese people traditionally have thought oftotallynine as a luck number. Students from all over China now visited in groups at no charge everylucky visitTuesday.I hope you can come to China and taking a look at this museum with our own eyes.take yourBest wishes.Yours,Li Ming书面表达One possible versionDear editor,I’m a student from Fuzhou Middle School. I’m glad to learn that you want a few part-time English reporters, which I am quite interested in.I think I am fit for the job. As a student, I’ve read a lot and have much knowledge in many fields. I am fond of English and do well in writing as well as speaking. Besides, I’m easy to get along with and enjoy working together with others. Above all, I once worked as a reporter for my school broadcasting station. Thus, I’m sure I can do the job well if I have the great honor to get the position.I am looking forward to your early reply.Yours,Li Hua2015——2016学年度下学期高中学生学业发展水平测试(高二英语试卷)听力录音稿第一部分听力(共两节,满分30分)做题时,先将答案标在试卷上。
【英语】北京市临川学校2015-2016学年高二上学期期末考试试题.docx
北京临川学校2015-2016 第一学期期末考试高二英语试卷第Ⅰ卷(选择题)第一部分:听力(分两节,共20 小题,每小题 1.5 分,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 did the woman do last night?A. She went to pick up her brotherB. She watched a movie at homeC. She drove her brother to the airport2. Where does the conversation take place?A. Over the phoneB. At a storeC. At home3. How much did the digital camera cost the woman?A. $60B. $100C. $1204. What does the woman think of the man’ s speech?A. TouchingB. BoringC. Exciting5. What will the woman’ s brother do this weekend?A. StudyB. Go hikingC. Take an exam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。
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。
高二英语-2015-2016学年高二上学期 期中考试英语试题
2015-2016学年度第一学期期中考试高二英语试题考试时间长度:120分钟制卷人:胡刚宝说明:1.本试卷共12页,包括第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分;满分120分,考试时间120分钟。
2.在答题纸的密封线内填写班级、姓名、考号等,密封线内不要答题。
3.请将所有答案填涂或填写在答题卡/纸相应的答题处,否则不得分。
第一卷选择题(共80分)第一部分:听力(共20小题;每小题1分,满分20分)第一节:(共5小题;每小题1分,共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。
每段对话仅读一遍。
1.Where does the conversation take place?A.On the street.B. At a restaurant.C. At home.2.What may the man do next?A. Look for a hat.B. Find his suitcase.C. Pack some clothes.3.How much does the woman need to pay?A.$240.B. $270C. $3004.What will the woman do today?A. Go to a party.B. Go to the library.C. Go shopping.5.What are the two speakers mainly talking about?A. A new notebook.B. Summer jobs.C. The French language.第二节:(共15小题,每小题1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。
每段对话或独白读两遍。
听第6段材料,回答第6、7题。
6.How long does Ted usually sleep every night?A.For seven hours.B. For eight hours.C. For nine hours.7. What did Ted do last night?A.He went to the cinema.B.He went out with the man.C. He watched a movie at home.听第7段材料,回答第8、9题。
江西省丰城中学2015-2016学年高二上学期英语周练试题(1.17) Word版含答案.doc
丰城中学2015-2016学年上学期高二周考英语命题人:付新春审题人:谈红霞2016-01-17本试卷总分值为150分考试时间为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。
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 does the man wear his sunglasses?A. It’s sunny.B. His eyes hurt in the light.C. It’s cool.2. What will the two speakers do today?A. Visit a friend.B. Go to a clothes show.C. Stay at home.3. What does the man mean?A. He won’t take the luggage with him.B. He will deliver the luggage by car.C. He doesn’t need any help with the luggage.4. What are the speakers mainly talking about?A. Information.B. E-mail.C. Business.5. What will the girl most probably do?A. Go over her lessons.B. Take an exam.C. Go to the concert.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。
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。
听第6段材料,回答第6、7题。
6. Why does the man apologize to the woman?A. He keeps her waiting for a long time.B. There isn’t the dish she orders.C. He makes a mistake in her order.7. What explanation does the man give to the woman?A. He is a green hand on the job.B. He can’t do things fast enough.C. He can’t understand the customers well.听第7段材料,回答第8、9题。
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1 2015-2016学年江西省抚州市 上学期教学质量期末检测高二英语试题
1 When will the speakers discuss the matter again? A. On Wednesday. B. On Thursday. C. On Friday. 2
Where are the speakers? A. In a restaurant. B. In a furniture store. C. In a company. 3 Why does the woman look upset? A. She experienced a theft. B. She was given a parking ticket. C. She couldn‟t find a parking space. 4 Which transportation does the man suggest the woman take? A. The bus. B. The taxi. C. The train. 5 、 How does the man feel about the woman? A. Worried. B. Angry. C. Sorry. 6~7
听第6段材料,回答第6、7题。 (1) What day is it today? A. Monday. B. Friday. C. Saturday. (2) What will the man do? A. Go to the library to finish his paper. B. Borrow the woman's computer. C. Have the woman take care of his sister. 8~9 2
听第7段材料,回答第8、9题。 (1) Where does the woman often stay with her friends after lunch? A. In the classroom. B. In the dining hall. C. In the school park. (2) What benefit can the change bring to the speakers? A. They'll spend less money on food. B. They'll have more places to go. C. They won't have to carry their books around. 10~12
听第8段材料,回答第10至12题。 (1) What did the woman do during the weekend? A. She had dinner in a restaurant. B. She celebrated her mother's birthday. C. She watched a movie in a cinema. (2) What does the woman think of the movie? A. Interesting. B. Boring. C. Confusing. (3) What do the speakers plan to do on Saturday? A. Buy a birthday present. B. Hold a party. C. Visit some friends. 13~16
听第9段材料,回答第13至16题。 (1) What is the relationship between the speakers? A. Husband and wife. B. Father and daughter. C. Teacher and student. (2) How much will the man pay for four tickets if the promotion is still available? A. $500. B. $2000. C. $1500. (3) What is the woman responsible for? A. Booking hotels. B. Planning the sightseeing. C. Hiring a car. 3
(4) What does the man require the woman to do? A. Take a lot of clothes. B. Bring one suitcase. C. Pack her suitcase herself. 17~20
听第10段材料,回答第17至20题。 (1) What is Dr Tony talking about? A. Making the best use of time. B. Planning a weekly schedule. C. Designing a daily study schedule. (2) What does Dr Tony mention first? A. Amount of time to be spent on study time. B. Things a best daily schedule should include. C. A general guide for a daily schedule. (3) What does Dr Tony suggest students do? A. Challenge themselves to finish more tasks. B. Suit their time to their needs. C. Follow the guidelines all the time. (4) What does Dr Tony think of planning a schedule and keeping to it? A. It helps people finish each task quickly. B. It gives people satisfaction. C. It makes people find comfort in difficult things. 21~24
A Jane was worried. She had a job interview, and she wanted to look good. She decided to get some new clothes. The store owner, Pallas Hansen, helped Jane find a suit. But when she left the store, she didn't pay for the suit!
How could Jane do this? She was in a special store called Career Closet in San Jose, California. Pallas Hansen and Charlotte Krumwiede started this nonprofit store to help women. They knew that many women don't find jobs because they don't have the right clothes for a job interview. Women who don't have a lot of money have to use their money to buy food and clothes for their children. They can't buy clothes for themselves.
Pallas and Charlotte started the store in 1992 after they heard about a store like this in Chicago. Volunteers work in the store. Working women donate most of the clothes to the store. This makes it possible for the customers at Career Closet to get clothes for free.
Career Closet has helped 2,500 San Jose women, but clothes aren't the only things women get at the store. They also get confidence. Jane is 36 years old. Her husband was hurt in an accident, and Jane needed a job to support her seven children. She went to Career Closet and got a jacket, a skirt, and a blouse. “The whole day made me feel 4
special,” she said. Jane was a success at her interview, and she got the job. One reason why she got it was that she was wearing the right clothes for the workplace.
Pallas says,” I love this job. Sixty percent of the women get jobs. It's like being a fairy god-mother.” (1) What do the women get besides clothes at Career Closet? A. Confidence B. Shoes C. Money D. Chances (2) Where do most of the clothes at Career Closet come from? A. Volunteers working in the store B. Working women C. Pallas Hansen and Charlotte Krumwiede D. Jane (3) What can we know from the passage ? A. Women need to wear fashionable dress for work. B. Women need to dress properly for the workplace C. Women are trained for the interview in Pallas's shop. D. Women get the job training in Pallas's shop. (4) What's the main idea of the text? A. Success of women B. Women Fashion C. Getting Clothes Free of Charge D. Job Interview 25~27