A期中试卷及答案
2023-2024学年安徽省A10联盟(人教A版)高二(上)期中数学试卷【答案版】

2023-2024学年安徽省A10联盟(人教A 版)高二(上)期中数学试卷一、选择题(本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.)1.直线√3x +y ﹣1=0的倾斜角是( ) A .π3B .π6C .2π3D .5π62.若双曲线y 22−x 2m=1的焦点与椭圆x 24+y 29=1的焦点重合,则m 的值为( ) A .2B .3C .6D .73.以A (2,0),B (0,4)为直径端点的圆方程是( ) A .(x +1)2+(y +2) 2=20 B .(x ﹣1) 2+(y ﹣2) 2=20C .(x +1) 2+(y +2) 2=5D .(x ﹣1) 2+(y ﹣2) 2=54.堑堵指底面为直角三角形,且侧棱垂直于底面的三棱柱.如图,在堑堵ABC ﹣A 1B 1C 1中,∠ACB =π2,若AA 1=2AC =2BC =2,则异面直线B 1C 与A 1B 所成角的余弦值为( )A .√3010B .−√3010C .√7010D .−√70105.已知椭圆C :x 225+y 216=1的左、右焦点分别为F 1,F 2,A ,B 两点都在C 上,且A ,B 关于坐标原点对称,下列说法错误的是( ) A .|AB |的最大值为10 B .|AF 2|+|BF 2|为定值C .C 的焦距是短轴长的34D .存在点A ,使得AF 1⊥AF 26.已知在△ABC 中,顶点A (1,1),点B 在直线l :x ﹣y +2=0上,点C 在x 轴上,则△ABC 的周长的最小值为( ) A .√5B .2√5C .4√5D .5√527.《九章算术》是我国古代的数学名著,书中将底面为矩形,且有一条侧棱垂直于底面的四棱锥称为阳马.如图,在阳马P ﹣ABCD 中,P A ⊥平面ABCD ,底面ABCD 是正方形,AC 与BD 交于点O ,E ,F 分别为PD ,PB 的中点,点G 满足AG →=λAP →(0<λ<1),P A =4,AB =2,若OG ∥平面CEF ,则λ=( )A .14B .13C .12D .238.已知底边BC 长为2的等腰直角三角形ABC ,D 是平面ABC 内一点,且满足DB :DC =√3:1,则△ABD 面积的最大值是( ) A .3+√62B .3−√62C .3√2+2√32D .3√2−2√32二、选择题(共4小题,每小题5分,满分20分)9.直线l 的方向向量为a →,平面α,β的法向量分别为n →,m →,则下列命题为真命题的是( ) A .若m →⊥n →,则α⊥β B .若l ∥α,则a →⊥n →C .若cos〈a →,n →〉=√32,则直线l 与平面α所成角的大小为π6D .若cos〈m →,n →〉=12,则平面α,β的夹角大小为π310.若方程x 25−t+y 2t−1=1所表示的曲线为C ,则( )A .曲线C 可能是圆B .若1<t <5,则C 为椭圆C .若C 为椭圆,且焦点在x 轴上,则1<t <3D .若C 为双曲线,且焦点在y 轴上,则t <1 11.下列有关直线与圆的结论正确的是( )A .过点(3,4)且在x ,y 轴上的截距相等的直线方程为x ﹣y ﹣7=0B .若直线kx ﹣y ﹣k ﹣1=0和以M (2,1),N (3,2)为端点的线段相交,则实数k 的取值范围为[32,2]C .若点P (a ,b )是圆x 2+y 2=r 2(r >0)外一点,直线l 的方程是ax +by =r 2,则直线l 与圆相离D .若圆(x ﹣1)2+y 2=4上恰有3个点到直线y =x +b 的距离等于1,则实数b =−1±√2 12.已知O 为坐标原点,F 1,F 2分别为双曲线C :x 2a 2−y 2b 2=1(a >0,b >0),的左、右焦点,C 的一条渐近线l 的方程为y =√3x ,且F 1到l 的距离为3√3,P 为C 在第一象限上的一点,点Q 的坐标为(2,0),PQ 为∠F 1PF 2的平分线,则下列说法正确的是( ) A .双曲线C 的方程为x 29−y 227=1 B .双曲线C 的离心率为2 C .|PF 1|=3|PF 2|D .点P 到x 轴的距离为3√152三、填空题(共4小题,每小题5分,满分20分)13.已知圆C :x 2+y 2=4,过点P (1,1)的直线被圆C 截得弦长最短时,直线的方程为 . 14.在长方体ABCD ﹣A 1B 1C 1D 1中,底面是边长为1的正方形,AA 1=2,E 为A 1D 的中点,F 为CC 1上靠近点C 的三等分点,则点E 到平面BDF 的距离为 . 15.已知双曲线C :x 2a 2−y 2b 2=1的离心率是√5,F 1,F 2分别为双曲线C 的左、右焦点,过点F 2且垂直于x 轴的垂线在x 轴上方交双曲线C 于点M ,则tan ∠MF 1F 2的值为 .16.过直线l :x ﹣y +4=0上任意点P 作圆O :x 2+y 2=4的两条切线,切点分别为A ,B ,直线AB 过定点 ;记线段AB 的中点为Q ,则点Q 到直线l 的距离的最小值为 . 四、解答题(本题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.) 17.(10分)已知△ABC 的三个顶点分别是A (4,0),B (6,7),C (0,3). (1)求边BC 的高所在的直线方程;(2)求平分△ABC 的面积且过点B 的直线的方程. 18.(12分)已知双曲线C :x 2a 2−y 2b 2=1(a >0,b >0)的一条渐近线与直线x +2y =0垂直,且右顶点A 到该条渐近线的距离为2√55. (1)求双曲线C 的方程;(2)若直线l 与双曲线C 交于A 、B 两点,线段AB 的中点为M (3,2),求直线l 的斜率. 19.(12分)已知点P (4,0),圆C 的圆心在直线x ﹣y ﹣4=0上,且圆C 与y 轴切于点M (0,﹣2). (1)求圆C 的方程;(2)若直线l 过点P 且被圆C 截得的弦长为2√2,求直线l 的方程.20.(12分)一动圆与圆C 1:x 2+y 2+6x +5=0外切,同时与圆C 2:x 2+y 2﹣6x ﹣91=0内切,动圆圆心的轨迹为曲线E .(1)求曲线E 的方程;(2)点P 为E 上一动点,点O 为坐标原点,曲线E 的右焦点为F ,求|PO |2+|PF |2的最小值.21.(12分)如图,在三棱锥S ﹣ABC 中,△SAB 是边长为2的等边三角形,AC ⊥平面SAB ,M ,N ,P ,Q 分别是SB ,BC ,SA ,CN 的中点. (1)求证:PQ ∥平面AMN ;(2)若AC =2,求平面AMN 与平面SAC 夹角的余弦值.22.(12分)已知椭圆C :x 2a 2+y 2b 2=1(a >b >0)的左、右焦点分别为F 1,F 2,该椭圆的离心率为12,且椭圆上动点M 与点F 1的最大距离为3. (1)求椭圆C 的方程;(2)如图,若直线l 与x 轴、椭圆C 顺次交于P ,Q ,R (点P 在椭圆左顶点的左侧),且∠PF 1Q +∠PF 1R =π,求△RQF 1面积的最大值.2023-2024学年安徽省A10联盟(人教A 版)高二(上)期中数学试卷参考答案与试题解析一、选择题(本题共8小题,每小题5分,共40分.在每小题给出的四个选项中,只有一项是符合题目要求的.)1.直线√3x +y ﹣1=0的倾斜角是( ) A .π3B .π6C .2π3D .5π6解:由直线√3x +y ﹣1=0,得y =−√3x +1,可得直线的斜率为−√3,设倾斜角为α(0≤α<π),则tan α=−√3,α=2π3. 故选:C . 2.若双曲线y 22−x 2m=1的焦点与椭圆x 24+y 29=1的焦点重合,则m 的值为( ) A .2 B .3C .6D .7解:因为椭圆x 24+y 29=1的焦点为(0,√5),(0,−√5),所以双曲线y 22−x 2m=1的焦点为(0,√5),(0,−√5),故2+m =5,解得m =3.故选:B .3.以A (2,0),B (0,4)为直径端点的圆方程是( ) A .(x +1)2+(y +2) 2=20 B .(x ﹣1) 2+(y ﹣2) 2=20C .(x +1) 2+(y +2) 2=5D .(x ﹣1) 2+(y ﹣2) 2=5解:∵A (2,0),B (0,4),∴AB 的中点坐标为(1,2),由|AB |=√22+42=2√5, ∴以A (2,0),B (0,4)为直径端点的圆方程是(x ﹣1) 2+(y ﹣2) 2=5. 故选:D .4.堑堵指底面为直角三角形,且侧棱垂直于底面的三棱柱.如图,在堑堵ABC ﹣A 1B 1C 1中,∠ACB =π2,若AA 1=2AC =2BC =2,则异面直线B 1C 与A 1B 所成角的余弦值为( )A .√3010B .−√3010C .√7010D .−√7010解:以C 为坐标原点,CA ,CB ,CC 1所在直线分别为x ,y ,z 轴,建立如图所示的空间直角坐标系,则B 1(0,1,2),C (0,0,0),A 1(1,0,2),B (0,1,0), 所以CB 1→=(0,1,2),BA 1→=(1,﹣1,2), 所以cos <CB 1→,BA 1→>=CB 1→⋅BA 1→|CB 1→|⋅|BA 1→|=−1×1+2×2√5×√6=√3010, 因为异面直线夹角的取值范围为(0,π2], 所以异面直线B 1C 与A 1B 所成角的余弦值为√3010. 故选:A .5.已知椭圆C :x 225+y 216=1的左、右焦点分别为F 1,F 2,A ,B 两点都在C 上,且A ,B 关于坐标原点对称,下列说法错误的是( ) A .|AB |的最大值为10 B .|AF 2|+|BF 2|为定值C .C 的焦距是短轴长的34D .存在点A ,使得AF 1⊥AF 2解:由题意得,a 2=25,b 2=16,c 2=a 2﹣b 2=9,所以a =5,b =4,c =3,而|AB |≤2a =10,2c 2b=34,故选项A ,C 正确;由椭圆的对称性知,|AF 2|+|BF 2|=|BF 1|+|BF 2|=2a =10,故选项B 正确;当A 在y 轴上时,cos ∠F 1AF 2=52+52−622×5×5>0,则最大角∠F 1AF 2为锐角,所以不存在点A ,使得AF 1⊥AF 2,故选项D 错误. 故选:D .6.已知在△ABC 中,顶点A (1,1),点B 在直线l :x ﹣y +2=0上,点C 在x 轴上,则△ABC 的周长的最小值为( ) A .√5 B .2√5C .4√5D .5√52解:如图示:,设A (1,1)点关于直线x ﹣y +2=0的对称点为A ′(a ,b ),则{b−1a−1=−1a+12−b+12+2=0,解得:{a =−1b =3,故A ′(﹣1,3),点A 关于x 轴的对称点A ″(1,﹣1), 则|A ′A ″|=√4+16=2√5,故A ′A ″的长即△ABC 周长的最小值. 故选:B .7.《九章算术》是我国古代的数学名著,书中将底面为矩形,且有一条侧棱垂直于底面的四棱锥称为阳马.如图,在阳马P ﹣ABCD 中,P A ⊥平面ABCD ,底面ABCD 是正方形,AC 与BD 交于点O ,E ,F 分别为PD ,PB 的中点,点G 满足AG →=λAP →(0<λ<1),P A =4,AB =2,若OG ∥平面CEF ,则λ=( )A .14B .13C .12D .23解:因为P A ⊥平面ABCD ,底面ABCD 是正方形,所以AB ,AD ,AP 两两互相垂直, 以A 为坐标原点,AB ,AD ,AP 所在直线分别为x .,y ,z 轴建立空间直角坐标系,如图所示, 因为E ,F 分别为PD ,PB 的中点,点G 满足AG →=λAP →(0<λ<1),P A =4,AB =2,所以B (2,0,0),D (0,2,0),C (2,2,0),P (0,0,4),E (0,1,2),F (1,0,2),O (1,1,0),G (0,0,4λ),所以OG →=(−1,−1,4λ),CE →=(−2,−1,2),CF →=(−1,−2,2), 设平面CEF 的法向量为n →=(x ,y ,z),则{n →⋅CE →=−2x −y +2z =0n →⋅CF →=−x −2y +2z =0,解得{y =xz =32x, 令x =2,得y =2,z =3,所以n →=(2,2,3),因为OG ∥平面CEF ,所以OG →⊥n →,即OG →⋅n →=−2−2+12λ=0, 解得λ=13. 故选:B .8.已知底边BC 长为2的等腰直角三角形ABC ,D 是平面ABC 内一点,且满足DB :DC =√3:1,则△ABD 面积的最大值是( ) A .3+√62B .3−√62C .3√2+2√32D .3√2−2√32解:以BC 的中点O 为原点,以BC 所在直线为x 轴,BC 的垂直平分线为y 轴,建立直角坐标系,如图,则A (0,1),B (﹣1,0),C (1,0),设D (x ,y ), 因为DB :DC =√3:1,所以√(x+1)2+y 2√(x−1)2+y 2=√3,化简整理得:(x +1)2+y 2=3(x ﹣1)2+3y 2,即(x ﹣2)2+y 2=3, 所以点D 的轨迹为以(2,0)为圆心,以√3为半径的圆, 当点D 与直线AB 距离最大时,△ABD 面积最大, 直线AB 的方程为x ﹣y +1=0,且|AB|=√2,设圆心到直线的距离为d ,则点D 到直线AB 的最大距离为d +r =|2−0+1|2+√3=3√2+2√32,所以△ABD 面积的最大值为12×√2×3√2+2√32=3+√62.故选:A .二、选择题(共4小题,每小题5分,满分20分)9.直线l 的方向向量为a →,平面α,β的法向量分别为n →,m →,则下列命题为真命题的是( ) A .若m →⊥n →,则α⊥β B .若l ∥α,则a →⊥n →C .若cos〈a →,n →〉=√32,则直线l 与平面α所成角的大小为π6D .若cos〈m →,n →〉=12,则平面α,β的夹角大小为π3解:对于选项A ,若m →⊥n →,则α⊥β,即A 正确; 对于选项B ,若l ∥α,则a →⊥n →,即B 正确;对于选项C ,若cos〈a →,n →〉=√32,则a →与n →的夹角为π6,因为直线与平面所成角的取值范围为[0,π2],所以直线l 与平面α所成角的大小为π3,即C 错误;对于选项D ,若cos〈m →,n →〉=12,则n →与m →的夹角为π3,因为两平面夹角的取值范围为[0,π2],所以平面α与β的夹角大小为π3,即D 正确.故选:ABD . 10.若方程x 25−t+y 2t−1=1所表示的曲线为C ,则( )A .曲线C 可能是圆B .若1<t <5,则C 为椭圆C .若C 为椭圆,且焦点在x 轴上,则1<t <3D .若C 为双曲线,且焦点在y 轴上,则t <1 解:A 选项,当5﹣t =t ﹣1>0,即t =3时,方程x 25−t+y 2t−1=1为x 2+y 2=2,表示圆心为原点,半径为√2的圆,故选项A正确,选项B错误;C选项,若C为椭圆,且焦点在x轴上,则5﹣t>t﹣1>0,解得1<t<3,故选项C正确;D选项,若C为双曲线,且焦点在y轴上,方程x25−t +y2t−1=1即y2t−1−x2t−5=1,则{t−1>0t−5>0,解得t>5,故选项D错误.故选:AC.11.下列有关直线与圆的结论正确的是()A.过点(3,4)且在x,y轴上的截距相等的直线方程为x﹣y﹣7=0B.若直线kx﹣y﹣k﹣1=0和以M(2,1),N(3,2)为端点的线段相交,则实数k的取值范围为[32,2]C.若点P(a,b)是圆x2+y2=r2(r>0)外一点,直线l的方程是ax+by=r2,则直线l与圆相离D.若圆(x﹣1)2+y2=4上恰有3个点到直线y=x+b的距离等于1,则实数b=−1±√2解:当截距不为0时,设直线xa+ya=1,将点(3,4)代入得,3a+4a=1,∴a=7,则直线方程为x+y ﹣7=0,当截距为0时,设直线y=kx,将点(3,4)代入得,4=3k,∴k=43,则直线方程为4x﹣3y=0,则直线方程为x+y﹣7=0和4x﹣3y=0,∴A错误.对于B,已知直线kx﹣y﹣k﹣1=0过定点A(1,﹣1),又直线AM,AN的斜率为k AM=1+12−1=2,k AN=2+13−1=32,所以直线kx﹣y﹣k﹣1=0和以M(2,1),N(3,2)为端点的线段相交,实数k的取值范围为[32,2],故B正确;对于C,点P(a,b)是圆x2+y2=r2外一点,所以a2+b2>r2,所以圆心(0,0)到直线的距离d=r2√a2+br,所以直线与圆相交,故C不正确;因为圆C:(x﹣1)2+y2=4上恰有三个点到直线l:y=x+b的距离等于1,所以圆心(1,0)到直线的距离等于半径的一半,所以√2=1,解得b=﹣1±√2,故D正确.故选:BD.12.已知O 为坐标原点,F 1,F 2分别为双曲线C :x 2a 2−y 2b 2=1(a >0,b >0),的左、右焦点,C 的一条渐近线l 的方程为y =√3x ,且F 1到l 的距离为3√3,P 为C 在第一象限上的一点,点Q 的坐标为(2,0),PQ 为∠F 1PF 2的平分线,则下列说法正确的是( ) A .双曲线C 的方程为x 29−y 227=1 B .双曲线C 的离心率为2 C .|PF 1|=3|PF 2|D .点P 到x 轴的距离为3√152解:对于A ,由F 1(﹣c ,0)到渐近线y =√3x 的距离为3√3,得√3c2=3√3,解得c =6, 由渐近线方程为y =√3x ,得ba =√3,结合a 2+b 2=c 2可得a =3,b =3√3,则双曲线C 的方程为x 29−y 227=1,故A 正确.对于B ,e =ca =2,故B 正确. 对于C ,PQ 为∠F 1PF 2的平分线,则|PF 1||PF 2|=|QF 1||QF 2|=84=2,故C 错误.对于D ,由双曲线定义可得|PF 1|﹣|PF 2|=6,则可得|PF 1|=12,|PF 2|=6,在△PF 1F 2中,cos ∠F 1PF 2=122+62−1222×12×6=14,sin ∠F 1PF 2=√1−cos 2∠F 1PF 2=√154,设点P 到x 轴的距离为d ,则|PF 2|•sin ∠F 1PF 2 即12×12×d =12×12×6×√154,解得d =3√152,故D 正确. 故选:ABD .三、填空题(共4小题,每小题5分,满分20分)13.已知圆C :x 2+y 2=4,过点P (1,1)的直线被圆C 截得弦长最短时,直线的方程为 x +y ﹣2=0 . 解:显然点P 在圆C 内,过点P 且弦长最短的弦应是垂直于直线CP 的弦, 又直线CP 的斜率为1,所以所求直线的斜率为﹣1, 故所求直线的方程为y ﹣1=﹣(x ﹣1),即x +y ﹣2=0. 故答案为:x +y ﹣2=0.14.在长方体ABCD ﹣A 1B 1C 1D 1中,底面是边长为1的正方形,AA 1=2,E 为A 1D 的中点,F 为CC 1上靠近点C 的三等分点,则点E 到平面BDF 的距离为4√1717. 解:以D 为坐标原点,分别以DA ,DC ,DD 1所在的直线为x ,y ,z 轴,建立空间直角坐标系D ﹣xyz ,可得D (0,0,0),B (1,1,0),F (0,1,23),E (12,0,1),则DE →=(12,0,1),DB →=(1,1,0),DF →=(0,1,23),设平面BDF 的法向量为n →=(x ,y ,z ),由n →•DB →=n →•DF →=0,即x +y =y +23z =0,可取z =﹣3,则y =2,x =﹣2, 即n →=(﹣2,2,﹣3),则点E 到平面BDF 的距离为|n →⋅DE →|n →|||√4+4+9|4√1717. 故答案为:4√1717. 15.已知双曲线C :x 2a 2−y 2b 2=1的离心率是√5,F 1,F 2分别为双曲线C 的左、右焦点,过点F 2且垂直于x 轴的垂线在x 轴上方交双曲线C 于点M ,则tan ∠MF 1F 2的值为 2√55 .解:将x =c 代入双曲线C :x 2a 2−y 2b2=1中,可得|MF 2|=b2a ,又|F 1F 2|=2c ,∴tan ∠MF 1F 2=|MF 2||F 1F 2|=b 22ac =c 2−a 22ac =12(e −1e )=12(√515)=2√55.故答案为:2√55. 16.过直线l :x ﹣y +4=0上任意点P 作圆O :x 2+y 2=4的两条切线,切点分别为A ,B ,直线AB 过定点 (﹣1,1) ;记线段AB 的中点为Q ,则点Q 到直线l 的距离的最小值为 √2 . 解:设P (x 0,y 0),因为P 是直线l :x ﹣y +4=0上一点,所以y 0=x 0+4,以OP 为直径的圆的方程为x (x ﹣x 0)+y (y ﹣y 0)=0, 即x 2+y 2﹣x 0x ﹣y 0y =0,所以x 0x +y 0y =4,即直线AB 的方程为x 0x +y 0y =4,又y 0=x 0+4,∴直线AB 的方程为x 0(x +y )+4y ﹣4=0,故直线AB 过定点(﹣1,1). 设Q (x ,y ),直线AB 过定点为M ,则M (﹣1,1), 由MQ →⋅OQ →=0,得(x +1)x +(y ﹣1)y =0, 整理得点Q 的轨迹方程为(x +12)2+(y −12)2=12,因为点(−12,12)到直线l :x ﹣y +4=0的距离d =|−12−12+4|√2=3√22>√22,所以直线l :x ﹣y +4=0与圆(x +12)2+(y −12)2=12相离, 所以点Q 到直线l 的距离的最小值为|−12−12+4|√2−√22=√2.故答案为:(﹣1,1),√2.四、解答题(本题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.) 17.(10分)已知△ABC 的三个顶点分别是A (4,0),B (6,7),C (0,3). (1)求边BC 的高所在的直线方程;(2)求平分△ABC 的面积且过点B 的直线的方程. 解:(1)由题意可得:直线BC 的斜率k BC =3−70−6=23, 则边BC 的高所在的直线的斜率k =−32,所求直线方程为y −0=−32(x −4),即3x +2y ﹣12=0. (2)由题意可知:所求直线即为边AC 的中线所在的直线,则线段AC 的中点为D(2,32),可得直线BD 的斜率k BD =7−326−2=118,所以直线BD 的方程为y −32=118(x −2),即11x ﹣8y ﹣10=0. 18.(12分)已知双曲线C :x 2a 2−y 2b 2=1(a >0,b >0)的一条渐近线与直线x +2y =0垂直,且右顶点A 到该条渐近线的距离为2√55. (1)求双曲线C 的方程;(2)若直线l 与双曲线C 交于A 、B 两点,线段AB 的中点为M (3,2),求直线l 的斜率. 解:(1)因为双曲线C 的一条渐近线与直线x +2y =0垂直,且直线x +2y =0的斜率为−12,因为双曲线C 的渐近线为y =±b a x ,所以−12⋅ba =−1,解得ba=2,则双曲线C 的渐近线方程为y =±2x ,即2x ±y =0, 因为右顶点(a ,0)到该条渐近线的距离为2√55,所以√5=2√55,解得a =1,可得b =2, 所以双曲线C 的方程为x 2−y 24=1; (2)若直线l ⊥x 轴, 此时A ,B 两点关于x 轴对称,可得线段AB 的中点在x 轴上,不符合题意; 若直线l 与x 轴不垂直,不妨设A (x 1,y 1)、B (x 2,y 2),直线l 的斜率为k ,此时{x 12−y 124=1x 22−y 224=1,即(x 12−x 22)−y 12−y 224=0, 此时(x 1+x 2)(x 1−x 2)−(y 1+y 2)(y 1−y 2)4=0,整理得y 1+y 2x 1+x 2⋅y 1−y 2x 1−x 2=4.因为线段AB 的中点为M (3,2),所以x 1+x 2=6,y 1+y 2=4,则46⋅k =4,解得k =6,故直线l 的斜率为6.19.(12分)已知点P (4,0),圆C 的圆心在直线x ﹣y ﹣4=0上,且圆C 与y 轴切于点M (0,﹣2). (1)求圆C 的方程;(2)若直线l 过点P 且被圆C 截得的弦长为2√2,求直线l 的方程. 解:(1)设圆心坐标为C (a ,b ),因为圆C 的圆心在直线x ﹣y ﹣4=0上,且圆C 与y 轴切于点M (0,﹣2), 所以{a −b −4=0b =−2,解得{a =2b =−2,所以C (2,﹣2),半径r =|MC |=2, 所以圆C 的方程为(x ﹣2)2+(y +2)2=4;(2)由题意得,圆心C (2,﹣2)到直线l 的距离为√4−2=√2, 若直线l 的斜率存在,设直线l 的方程为y =k (x ﹣4),则√k 2+1=√2,解得k =2+√3或k =2−√3,当直线l 的斜率不存在,l 的方程为x =4,此时圆心C (2,﹣2)到直线l 的距离为2,不满足题意,舍去, 综上,直线l 的方程为y =(2+√3)(x −4)或y =(2−√3)(x −4).20.(12分)一动圆与圆C 1:x 2+y 2+6x +5=0外切,同时与圆C 2:x 2+y 2﹣6x ﹣91=0内切,动圆圆心的轨迹为曲线E .(1)求曲线E 的方程;(2)点P 为E 上一动点,点O 为坐标原点,曲线E 的右焦点为F ,求|PO |2+|PF |2的最小值. 解:(1)不妨设动圆圆心为M (x ,y ),半径为R ,易知圆C 1:(x +3)2+y 2=4,圆C 2:(x −3)2+y 2=100, 当动圆M 与圆C 1外切时,|C 1M |=R +2; 当动圆M 与圆C 2内切时,|C 2M |=10﹣R , 所以|C 1M |+|C 2M |=12>|C 1C 2|,则点M 的轨迹是焦点为C 1(﹣3,0),C 2(3,0),长轴长为12的椭圆, 不妨设该椭圆的长轴为2a ,短轴为2b ,焦距为2c , 此时2c =6,2a =12,解得c =3,a =6,则b 2=36﹣9=27, 故动圆圆心轨迹方程为x 236+y 227=1;(2)由(1)知F (3,0),不妨设P (x ,y ), 此时|PO |2+|PF |2=x 2+y 2+(x ﹣3)2+y 2=2x 2﹣6x +9+2y 2, 因为点P 在椭圆上,所以x ∈[﹣6,6],y 2=27−34x 2, 此时|PO|2+|PF|2=12x 2−6x +63=12(x −6)2+45, 易知当x =6时,|PO |2+|PF |2取得最小值,最小值为45.21.(12分)如图,在三棱锥S ﹣ABC 中,△SAB 是边长为2的等边三角形,AC ⊥平面SAB ,M ,N ,P ,Q 分别是SB ,BC ,SA ,CN 的中点. (1)求证:PQ ∥平面AMN ;(2)若AC =2,求平面AMN 与平面SAC 夹角的余弦值.(1)证明:连接BP 交AM 于点I ,连接NI , 因为M ,P 分别为SB ,SA 的中点, 所以I 为△SBA 的重心,所BI BP=23,因为N 为BC 的中点,Q 为CN 的中点, 所以BN BQ=23,所以BIBP=BN BQ,所以NI ∥PQ ,又因为PQ ⊄平面AMN ,NI ⊂平面AMN , 所以PQ ∥|平面AMN ;(2)解:由AC ⊥平面SAB ,可得AC ⊥AB ,平面SAB ⊥平面ABC , 故可建立以A 为坐标原点,以AB ,AC 所在直线为x 轴,y 轴, 过A 作垂直于AC 的直线Az 为z 轴的空间直角坐标系,如图所示, 则A (0,0,0),B (2,0,0),C (0,2,0),S (1,0,√3), M (32,0,√32),N (1,1,0),Q (12,32,0),所以AM →=(32,0,√32),AN →=(1,1,0),AS →=(1,0,√3),AC →=(0,2,0), 设平面AMN 的法向量为m →=(a ,b ,c),则{m →⋅AM →=32a +√32c =0m →⋅AN →=a +b =0,取a =1,可得m →=(1,−1,−√3),设平面SAC 的法向量为n →=(x ,y ,z),则{n →⋅AS →=x +√3z =0n →⋅AC →=2y =0,取x =√3,可得n →=(√3,0,−1), 设平面AMN 与平面SAC 夹角为θ,则cos θ=|cos <m →⋅n →>|=|m⋅n →||m →||n →|=2√3√5×2=√155,所以平面AMN 与平面SAC 夹角的余弦值为√155.22.(12分)已知椭圆C :x 2a 2+y 2b 2=1(a >b >0)的左、右焦点分别为F 1,F 2,该椭圆的离心率为12,且椭圆上动点M 与点F 1的最大距离为3. (1)求椭圆C 的方程;(2)如图,若直线l 与x 轴、椭圆C 顺次交于P ,Q ,R (点P 在椭圆左顶点的左侧),且∠PF 1Q +∠PF 1R =π,求△RQF 1面积的最大值.解:(1)因为椭圆C 的离心率为12,所以e =c a =12, 即a =2c ,①因为椭圆上动点M 与点F 1的最大距离为3, 所以a +c =3,② 又b =√a 2−c 2,③联立①②③,解得a =2,c =1,b =√3, 则椭圆C 的方程为x 24+y 23=1;(2)不妨设Q (x 1,y 1),R (x 2,y 2), 由(1)知F 1(﹣1,0), 因为∠PF 1Q +∠PF 1R =π, 所以k QF 1+k RF 1=0,即y 1x 1+1+y 2x 2+1=0,整理得x 1y 2+y 2+x 2y 1+y 1=0,不妨设直线PQ 的方程为x =my +n (m ≠0),联立{x =my +n x 24+y 23=1,消去x 并整理得(3m 2+4)y 2+6mny +3n 2﹣12=0,此时Δ=36m 2n 2﹣4(3m 2+4)(3n 2﹣12)>0, 解得n 2<3m 2+4, 由韦达定理得y 1+y 2=−6mn 3m 2+4,y 1y 2=3n 2−123m 2+4, 又x 1=my 1+n ,x 2=my 2+n ,所以x 1y 2+y 2+x 2y 1+y 1=2my 1y 2+(n +1)(y 1+y 2)=0, 即2m ⋅3n 2−123m 2+4+(n +1)(−6mn3m 2+4)=0,因为m ≠0, 所以n =﹣4,则直线PQ 的方程为x =my ﹣4(m ≠0), 此时点F 1(﹣1,0)到直线PQ 的距离d =|−1+4|√1+m 2=3√1+m 2,所以S △F 1QR=12|QR|d =12√1+m 2⋅√(y 1+y 2)2−4y 1y 2⋅3√1+m 2=18√m 2−43m 2+4,因为n 2<3m 2+4,n =﹣4, 所以3m 2+4>16, 即m 2>4,不妨令√m 2−4=t ,t >0, 此时m 2=t 2+4, 所以√m 2−43m 2+4=t 3(t 2+4)+4=t 3t 2+16=13t+16t≤2√3t⋅t=8√3,当且仅当3t =16t 时,等号成立, 此时m 2=t 2+4=283,直线l 存在, 综上,△RQF 1面积的最大值为18×18√3=3√34.。
北京工业大学耿丹学院13级大学英语I期中测试试题A及答案

北京工业大学耿丹学院2013 -- 2014学年第一学期期中考试《大学英语I》试卷(A)(考试时间共计:60 分钟)Part I Listening Comprehension(30%)Section A (8 %) Short conversationsDirections: In this section, you will hear 8 short conversations. At the end of each conversation, one question will be asked about what was said. Both the conversation and the questions will be spoken only once. After each question there will be a pause. During the pause, you must read the four choices marked A), B), C) and D), and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.(注意:此部分试题请在机读卡上作答)1. A) Almost nothing. B) The main points. C) Most of it. D) All of it2. A) 7 o’clock B) 8 o’clock C) 9 o’clock D) 10 o’clock3. A) The woman has a new boyfriend at college.B) The woma n’s boyfriend tells her about their old school friend.C) The woman is no longer going out with her boyfriend from school.D) The woman hasn’t heard any news about her old school friends.4. A) 5:00, Saturday. B) 5:00, August 26.C) 5:00, Sunday. D)5:30, October 26.5. A) She is very hungry. B) She doesn’t want to eat a lot.C) She thinks the menu is excellent. D) She isn’t hungry at all.6. A) Workers. B) Teachers C) Students D) Doctor7. A) in 1963 B) in 1964 C) in 1965 D) in 19668. A) Eat better. B) Eat more. C) Eat worse. D) Diet.Section B (8 %) Long conversationsDirections: In this section, you will hear 2 long conversations. The conversations will be spoken only once. After each conversation there will be a pause. During the pause, you must read the four choices marked A), B), C) and D), and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.(注意:此部分试题请在机读卡上作答)Conversation 19. Why does the woman enjoy living on campus?A) She thinks it’s good for health.B) She thinks it’s easy to make friends.C) She thinks it’s near her home.D) She likes living in a dorm.10. What does the man think is one of the advantages of living in the town?A) The atmosphere there is different. B) The people there are nice.C) It’s near the shopping center.D) It’s near the school.11. According to the woman, what are the problems for those people who go a long way to schoolevery day?A) They would have to get up early to get to classes on time.B) It would take a lot of time to get home.C) Both A and B.D) They can’t communicate with the class.12. How does the man feel about the food in the cafeteria?A) It seems all the same every day. B) It is OK.C) It is like the food outside. D) It varies in type.Conversation 213. The man’s friend invited him for a meal becau se _________________.A). he wanted to take him to a pubB). it was the last day of termC). the man and his friends were going to a restaurantD). it was the friend’s birthday14. In the pub,______________________.A). everyone paid for their own drinksB). people in the group took turns to buy drinks for everyoneC). two people paid for all the drinksD). the man’s friend paid for all the drinks15.At the meal, the man had eaten___________________.A). less than everyone else B). more than everyone elseC). the same as everyone else D). nothing at all16.The woman______ British customs.A). doesn’t really understand the man’s problems withB). thinks the man will soon understandC). understands the man’s problems withD). thinks it is easy to understandSection C(4 %) Passage listeningDirections: In this section, you will hear a long passage. The passage will be spoken only once. After the passage there will be a pause. During the pause, you must read the four choices marked A), B), C) and D), and decide which is the best answer. Then mark the corresponding letter on the Answer Sheet with a single line through the centre.(注意:此部分试题请在机读卡上作答)17. What’s the topic of the talk?A) Listening and learning. B) Listening.C) Improvement in listening D) Listening and speaking.18. What does the speaker think of listening?A) It is listed in the teaching program.B) It is critical to English teaching.C) Effective listening results from doing right assignments.D) It’s less taught than any other means of communication.19. What’s the point of listening in professional work according to the speaker?A) It pays to listen to the customers or clients.B) Failure to listen to the customer or clients may cause dull business.C) Listening plays an important role in receiving an oral message in business.D) Listening is critical to response.20. How does the speaker regard listening in relation to personal relationship?A) Listening does not have much to do with personal relationship.B) Listening develops relationships.C) Listening means the listener is important.D) Listening means the speaker is important.Section D(10%) DictationDirections: In this section, you will hear a long passage. The passage will be spoken twice. You are required to fill in the blanks with the exact words you hear.(注意:此部分试题请在答题纸上作答)When I was at school, I had so many plans for my (21) . But in fact, my plans changed over the years. To be quite honest, I (22) it wasn’t until my late twenties that I finally found my true (23) in life. Sure, it’s a great idea to have your dreams as a freshman. So, (24) , pursue the ideal. But don’t let your ambition (25) you. College may make you more (26) , more aware that having a (27) salary, having a warm and (28) family of your own, and being happy are (29) a brilliant career, if not more so. I’m less (30) than I was when I was 19, but I’m happier.Part II Translation (35%)Section A Phrase Translation (15%)Directions: There are 10 sentences in this part. Now translate the phrases in the brackets and complete the sentences. Please write down the phrases for each item on the answer sheet.(注意:此部分试题请在答题纸上作答)31. You should take some medicine to ________________.(减轻头痛)32. I can even hear what he is eating, _________________.(尽管嘈杂)33. Then calculate what’s left of the day, and that’s yours, to spend on ___________(尝试) everything else on offer.34. College is the best place to ____________________.(开阔眼界)35. The doctor has ______________(向我们保证)she’ll be fine.36. It is not an easy task, but we are sure he will ____________________.(成功应付挑战)37. Mary_____________ (突然开始)tears when she heard the news.38. I explain how to cook them and then _______them _____( 蘸)the different sauces before eating.39. Most students have little difficulty ______________(适应) college life.40. The waitress brings plentiful amounts of vegetables as well as some slippery bits of meat which are ______________.(很难辨认)Section B Sentence Translation (20%)Directions:Translate the sentences into Chinese. Please write your translation on the Answer Sheet.(注意:此部分试题请在答题纸上作答)41. 直到大学毕业我才认识到,学习并不是大学生的全部,大学生活本可以更加丰富多彩。
北科大2011-2012-1-大学物理AI 期中试卷及答案

北京科技大学 2011--2012 学年 第 一 学期大学物理AI 期中试卷(A 卷)选择题(每题5分,共100分)1、几个不同倾角的光滑斜面,有共同的底边,顶点也在同一竖直面上.若使一物体(视为质点)从斜面上端由静止滑到下端的时间最短,则斜面的倾角应选(A) 60°; (B) 45°;(C) 30°; (D) 15°。
2、一质点作直线运动,某时刻的瞬时速度=v 2 m/s ,瞬时加速度2/2s m a -=,则一秒钟后质点的速度(A) 等于零; (B) 等于-2 m/s ;(C) 等于2 m/s ; (D) 不能确定。
3、某物体的运动规律为t k t 2d /d v v -=,式中的k 为大于零的常量.当0=t 时,初速为v 0,则速度v 与时间t 的函数关系是(A) 0221v v +=kt ; (B) 0221v v +-=kt ; (C) 02121v v +=kt ; (D) 02121v v +-=kt 。
4、某人骑自行车以速率v 向西行驶,今有风以相同速率从北偏东30°方向吹来,试问人感到风从哪个方向吹来?(A) 北偏东30°; (B) 南偏东30°;(C) 北偏西30°; (D) 西偏南30°。
5、质量为m 的物体自空中落下,它除受重力外,还受到一个与速度平方成正比的阻力的作用,比例系数为k ,k 为正值常量.该下落物体的收尾速度(即最后物体作匀速运动时的速度)将是 (A) k mg ; (B) k g 2 ; (C) gk ; (D) gk 。
6、质量分别为m 1和m 2的两滑块A 和B 通过一轻弹簧水平连结后置于水平桌面上,滑块与桌面间的摩擦系数均为μ,系统在水平拉力F 作用下匀速运动,如图所示.如突然撤消拉力,则刚撤消后瞬间,二者的加速度a A 和a B 分别为(A) a A =0 , a B =0. (B) a A >0 , a B <0.(C) a A <0 , a B >0. (D) a A <0 , a B =0.7、一公路的水平弯道平均半径为R ,路面的外侧高出内侧,并与水平面夹角为θ.要使汽车通过该段路面时不引起侧向摩擦力,则汽车的速率为题6用图(A)Rg ; (B) θtg Rg ; (C) θθ2sin cos Rg ; (D) θctg Rg 。
山东省泰安市2022-2023学年高三上学期11月期中考试历史试题及答案

试卷类型:A 山东省泰安市2022届高三年级上学期期中统考历史试题2022.11注意事项:1.答卷前,考生务必将自己的姓名、考生号等填写在答题卡和试卷指定位置。
2.回答选择题时,选出每小题答案后,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,再选涂其他答案标号。
回答非选择题时,将答案写在答题卡上,写在本试卷上无效。
3.考试结束后,将本试卷和答题卡-并交回。
一、选择题:本题共15小题,每小题3分,共45分。
每小题只有-一个选项符合题目要求。
1.出土于两河流域苏美尔地区的一件5000年前的石膏大瓶上,刻画着这样的画面:一些裸体平民手捧酒罐奶盆、粮斗等祭品走向神龛,--位祭司(或首领)穿着长袍,长袍带由其身后穿短裙的人举着,瓶上还刻画了水边的大麦田、羊队、水果、狮子等内容。
由此可知,当时苏美尔地区A.纺织技术发达B.产生了明显的阶级分化C.绘画艺术高超D.出现了一系列城市国家2.古希腊哲学家柏拉图认为,当人口少到可以充分保障公民间的了解、交往、并彼此尽可能保持友善的时候,小型公民共同体的优势才能显现出来。
按照他的计算,这种共同体理想的公民人口为5040人。
柏拉图的这一主张A.深受寡头政治实践的影响B.为奴隶制的实行铺平道路C.构成西方哲学的精神内核D.是对城邦制度的政治构想3.据图1日尔曼人迁徙过程中建立的诸多王国可以推知,日耳曼人的迁徙A.打断了欧洲的农耕文明进程B.直接原因是阿拉伯人扩张.C.促进了区域文化交流与发展D.强势征服了罗马帝国文化4.马克在在《世界文明史》中指出:“手工业是西欧中世纪城市的基础,大部分居民是手工业主,这说明城市不是奴隶主的政治中心。
封建主的政治中心又在农村。
”作者意在说明A.手工业与农业分离造就城市B.城市可能孕育新的政治形态C.资本主义萌芽已经产生D.西欧封建农奴制度已经解体5.1348年,黑死病传遍欧洲,无计可施的市民举行盛大游行,向上帝忏悔,结果使更多的人感染瘟疫,无路可走的人们开始酗酒玩乐、日夜狂欢,用纵情享乐忘记身边的痛苦。
中医诊断学课程期中考试(试卷及答案)

中医诊断学课程期中考试(试卷)一、A型题(每小题1分,共16分)1 下列哪项不是失神的表现:A 目无精彩 B 形赢色败 C 呼吸微弱 D 神志昏迷 E 壮热面赤2 咽喉色鲜红娇嫩,肿痛不甚,引起的原因是:A 肺胃积热 B 痰湿停滞 C 胃中有热 D 阴虚火旺 E 寒凝咽喉3 目部的脏腑相关部位,按五轮学说,黑珠属:A 血轮 B 风轮 C 气轮 D 肉轮 E 水轮4 舌体肿胀,青紫晦暗者是:A 气血壅滞,将要发斑 B 心脾有热 C 中毒 D 邪热挟酒毒上壅 E 脾胃湿与痰浊相搏5 湿浊内蕴,阳气被遏,可形成:A 灰苔 B 黑苔 C 腐苔 D 腻苔 E 花剥苔6 病人出现谵语时,表现为:A 语无伦次,笑骂不定 B 语无伦次,神志不清 C 语言重复,声音低弱 D 语言错乱,说后自知 E 自言自语,见人便止7 喘证的表现应除外哪一项:A 呼吸困难 B 鼻翼煽动 C 张口抬肩 D 难以平卧 E 喉中痰鸣8 太阳头痛的特点是:A 两侧头痛 B 前额痛 C 巅顶痛 D 头痛连项 E 头痛连齿9 妇女带下色白,清稀如涕,无臭味,多属:A 脾虚湿注 B 冲任亏虚 C 肝经郁热 D 湿热下注 E 肝胆湿热10 午后热甚,身热不扬者属:A 阴虚潮热 B 湿温潮热 C 小儿疰夏 D 阳明潮热 E 气虚发热11 在28脉中,具有沉、实、大、弦、长形象特点的脉是:A 革脉 B 紧脉 C 芤脉 D 伏脉 E 牢脉12 下述哪种脉象不主实证:A 弦脉 B 紧脉 C 滑脉 D 结脉 E 革脉13 男子阳强易举,女子经闭或崩漏为:A 肾阳虚证 B 肾气不固 C 肾阴虚证 D 肾精不足 E 肾不纳气14 心胸烦热,面赤口渴,口舌生疮者属:A 心火亢盛 B 痰迷心窍 C 痰炎扰心 D 小肠实热 E 热入心包15 患者咳喘,痰稀色白,形寒肢冷,舌淡苔白,脉迟缓,此属:A 风寒束肺 B 寒邪客肺 C 饮停于肺 D 痰湿阻肺 E 明不纳气16 心血虚心阴虚的共有症是:A 头晕目眩,面白无华 B 五心烦热,潮热盗汗 C 心悸怔仲,失眠多梦 D 唇舌淡白,脉细数 E 以上都不是二、B型题(每小题1分,共4分)A 腹部胀潢,不欲饮食 B 胸胁苦满,心烦喜呕 C 腹胀且痛,大便秘结 D 下利清谷,四肢厥冷 E 心中疼热,饥不欲食1 太阳病证的表现有:2 少阴病证的表现有:A 邪气深入脏腑 B 邪气在骨髓 C 邪气入络 D 邪气入经 E 邪气在皮毛3 小儿指纹显于气关为:4 小儿指纹显于命关为:三、C型题(每小题1分,共4分)A 苔薄白而润 B 畏寒肢冷 C 两者均有 D 两者均无1 表寒证可见:2 晨寒证可见A 眩晕耳鸣,头前面赤 B 腰膝酸软 C 两者均有 D 两者均无3 肝火上炎可见:4 肝阳上亢可见:四、K型题(每小题1分,共6分)1 裂纹舌形成的病机是:(1)阴血亏虚(2)热盛伤津(3)血虚不润(4)脾虚湿困22 中医门诊首次病历书写的内容包括有:(1)一般项目(2)四诊、诊断(3)治法方药(4)四诊摘要3 以下哪些是个人史所记录的内容:(1)过去患病情况(2)居住条件(3)实验室检查结果(4)饮食嗜好4 中气下陷证可见:(1)久泄(2)腹部坠胀(3)脱肛(4)吐血5 嗜睡的原因有:(1)痰湿困脾(2)心肾阳虚(3)脾胃气虚(4)食滞胃脘6 滑脉的主病是:(1)痰饮(2)食滞(3)实热(4)阳虚五、填空题(每空1分,共15分)1 项背肌肉强直,头向后仰,躯体前挺,身体呈弓状,叫做( )。
山东省菏泽市2022-2023学年高三上学期期中联考语文试题(A)试题及答案

保密★启用前2022—2023学年度第一学期期中考试高三语文试题(A)2022.11注意事项1.本试卷满分150分,考试时间150分钟。
2. 答题前,考生务必将姓名、班级等个人信息填写在答题卡指定位置。
3. 考生作答时,请将答案答在答题卡上。
选择题每小题选出答案后,用2B 铅笔把答题卡上对应题目的答案标号涂黑;非选择题请用直径0.5毫米黑色墨水签字笔在答题卡上各题的答题区域内作答。
超出答题区域书写的答案无效,在试题卷、草稿纸上作答无效。
一、现代文阅读(35分)(一)现代文阅读I(本题共5小题,17分)阅读下面的文字,完成1~5题。
材料一∶自“20世纪文学整体观”被提出,文学研究者试着从不同的角度阐释20世纪文学的整体性,经历了从时间向空间转化的研究范式。
上世纪末叶,学者们开始对人文生活中的“空间性”刮目相看,把以前给予时间和历史、社会关系和社会的青睐,纷转移到空间上来。
空间反思的成果最终影响到了文学和艺术作品的重新解读。
以流域作为审美空间,将不同时期的作家、作品汇聚到这一空间内,增强文学的内部研究与外部研究的互动性。
以流域文化对作家、作品进行分类研究,既能够明显地看出同一流域内的作家不同的叙事风格,又能够感受同一作家在不同时期书写同一河流时,心态和情感随时代的转变。
以流域作为空间线索,梳理不同作家的不同作品会发现,作家由于个人经历的差异,使得他们在书写同一条河流时,会有不同的情感表达方式和写作模式。
同一个作家在不同的年龄,对河流的情感和描写也略显差异。
随着年龄的增长,作家的河流叙事更加富有张力,他们的创作,仿佛带领读者泛舟游于河流之上,以文学的方式不断为我们创造新的审美空间。
他们既不忘历史的族群和民俗文化的记忆,又紧跟时代步伐的再现和关乎人类未来的想象;既引领人们回顾过去,又让人们遐想未来。
文学源于生活,但高于生活。
然而,高于生活之处,恰恰是作家将自己的想象和现实经历融入作品。
在现当代文学史中,很多作家把流域内的人和事作为一种再现和想象叙写出来。
期中考试七年级地理试卷及答案

期中考试七年级地理试卷及答案
第一部分:选择题(共30题,每题1分,共30分)
1. 地理学是一门研究什么的学科?
- A. 人和自然的关系
- B. 自然环境
- C. 社会文化
- D. 人的活动
正确答案:A
2. 地球的自转一次所需要的时间是多久?
- A. 24秒
- B. 24分钟
- C. 24小时
- D. 24天
正确答案:C
3. 以下哪个是地球的一种自然环境?
- A. 大气环境
- B. 城市环境
- C. 社会环境
- D. 家庭环境
正确答案:A
...
第二部分:填空题(共10题,每题2分,共20分)
1. 地球上最大的洲是______。
正确答案:亚洲
2. 世界上最长的河流是______。
正确答案:尼罗河
3. 纬度为0°的线称为______。
正确答案:赤道
...
第三部分:简答题(共5题,每题10分,共50分)1. 请简单描述地球的四个自然环境。
...
2. 什么是气候?气候受到哪些因素的影响?
...
3. 解释地球是如何形成的。
...
第四部分:应用题(共5题,每题10分,共50分)
1. 请用一张世界地图标出以下五个洲的位置:亚洲、欧洲、非洲、南美洲、大洋洲。
...
2. 请解释什么是人口密度,并说明如何计算人口密度。
...
3. 从地理的角度解释下面的问题:为什么沿海地区适宜发展渔业?
...
总分:150分
以上是期中考试七年级地理试卷及答案的内容。
祝你好运!。
2023-2024学年上海师大附中高三上期中英语试卷及答案

2023-2024学年上海师大附中高三上期中英语试卷II.Grammar and VocabularySection ADirections:After reading the passage below,fill in the blanks to make the passages coherent and grammatically correct.For the blanks with a given word,fill in each blank with the proper form of the given word;for the other blanks,use one word that best fits each blank.How to future-proof your career against the threat of AIEver since the industrial revolution,people have feared that technology would take away their jobs.While some jobs and tasks have indeed been replaced by machines,(21)_________ have emerged.The fear that jobs might disappear or be replaced through automation is understandable.Recent research found that a quarter of tasks that humans currently do in the US and Europe could be automated in the coming years.The future of work is a popular topic of discussion,with countless books(22)_________ (publish)each year on the topic.These books speak to the human need to understand how to future might be shaped.A strong theme of concern is found in these books about technology enabling certain tasks to be automated,(23)_________(make)many people out of jobs.Specifically,(24)_________worries people is that knowledge-based jobs--like those in accounting or law--that have long been regarded as being exclusive(专属的、专有的)to well-educated professionals are now under threat of replacement by machines.But there is another, (25)_________(ambitious)way to think about this.Some books stress the potential of humans collaborating with AI,to enhance each other's skills.(26)_________being replaced,lawyers would then be empowered by technology.In reality,automation and empowerment co-exist,both of which(27)_________(concern)with your future career.In light of this,the key to future-proofing your job is continued learning,(28)_________is a valuable skill to develop in any career.Also,critical thinking and analytical skills are going to be particularly central for how humans and machines(29)_________empower one another.Above all,choose a job that you enjoy and keep learning(30)_________if you do need to change course in the future,you know how to.Section BDirections:Fill in each blank with a proper word chosen from the box.Each word can only be used once.Note that there is one word more than you need.A.advanceB.appealC.associationD.differsE.diligentlyF.entirelyG.frustrationH.produceI.uncooperativeJ.vagueK.worthyThe garden pathImagine a plate holding two strawberries,identical in appearance.One came out of a supermarket box.By the time it reached the plate it may have been off the vine for two weeks.The other strawberry was picked from a garden minutes before being eaten.The first one will probably taste like a slightly sour cucumber,with a(n)__31__hint of berry taste.The second is likely to be sweet and floral(花的、花卉的).Supermarket strawberries are not __32__without advantages:they are convenient and available in the northern hemisphere(地球的半球)in February.But the two berries are distinct from each other in the same way that hearing music in a concert hall__33__from listening to it on a worn-out cassette.The home-grown fruit is an edible(可食用的、能吃的)case for cultivating a home garden.Those who long dismissed gardening as a waste of time__34__this argument with great passion.They think a garden can yield peas that taste like the vibrant,green essence of spring; tomatoes and carrots of incomparable sweetness;and lettuces and herbs that taste like themselves rather than the plastic they are usually packaged in.Growing your own vegetables ensures a reliable supply,offering virtuous seasonal__35__.That attitude misrepresents the ultimate__36__of gardening;it mistakes the product for the purpose.On the other hand,a garden,especially in the early years,can also yield little but__37__. New gardeners may plant the wrong crops for their soil.And even expert gardeners can lose a season's harvest to__38__weather.No matter.The real joy of gardening is the time spent doing it.The deepest pleasure--as with cooking,writing,bringing up children or almost anything worthwhile--is in the work itself.A gardener's memories centre not on the food produced,but on long summer afternoons with hands in the dirt,surrounded by family,if the garden is at home,or deepening__39__with friendsand neighbours in a community garden.To garden is to__40__help life thrive(兴隆、兴旺、繁荣)with love and patience,in the ground and above it.III.Reading ComprehensionsSection ADirections:For each blank in the following passage,there are four words or phrases marked A,B, C and D.Fill in each blank with the word or phrase that best fits the context.Traveler's dilemmaAn airline loses two suitcases belonging to two different travelers,Lucy and Pete.Both suitcases happen to be the same and also contain__41__antiques.An airline manager tasked to settle their claims figures that simply asking the travelers for the price is hopeless,for they may __42__it.Instead,he asks them to write down the price of the antique as any dollar between2and 100__43__so that they can't negotiate with each other.If both write the same number,he will pay each of them that amount.But if they write different numbers,he will assume that the lower one is the actual price and that the person writing the higher number is__44__.In that case,he will pay both of them the lower number along with a(n)__45__and a punishment--the person who wrote the lower number will get$2more as a reward for honesty and the one who wrote the higher number will get$2less instead.__46__,if Lucy writes46and Pete writes100,Lucy will get$48 and Pete will get$44.What numbers will Lucy and Pete write?In1994,economist Kaushik Basu crafted the"Traveler's Dilemma"(TD)to challenge the narrow view of__47__.TD serves the purpose because the game's logic dictates that2is the logical option.Admittedly,Lucy's first idea is that she should write the largest possible number, which will earn her$100if Pete is similarly__48__.Soon,however,it strikes her that if she wrote 99instead,she would make a little more money,because in that case she would get$101.But surely this__49__will also occur to Pete,who will choose99as well.Continuing with this line of reasoning would send the travelers down to the smallest permissible number,namely,2-this is where the__50__leads us.In experimental studies,contrary to the predictions,most people pick$100or a number close to it,either without thinking the problem through or while fully aware they are__51__the reasonable choice.So,while most people instinctively feel that they would select a much highernumber than$2,this instinct seems to__52__the predicted logical outcome,$2.By rejecting the logical choice and acting illogically by writing a higher number,people end up getting a substantially bigger__53__.Based on these studies,researchers have proposed that people appear to have a natural,positive attitude in favor of__54__.This attitude leads to a cooperative model that favors the seemingly unreasonable but__55__strategies.41.A.precious B.identical C.controversial D.fake42.A.assess B.highlight C.neglect D.overstate43.A.intentionally B.precisely C.separately D.casually44.A.supervising B.cheating C.imitating plaining45.A.bonus B.identity C.discipline D.alarm46.A.By contrast B.In addition C.For instance D.On the whole47.A.negotiation B.fairness C.reason D.instinct48.A.calm B.greedy C.foolish D.imaginary49.A.pessimism B.perseverance C.challenge D.insight50.A.evidence B.logic C.goal D.emotion51.A.contributing to B.departing from C.appealing for D.dreaming about52.A.echo B.overlook C.contradict D.alter53.A.punishment B.interest C.investment D.payoff54.A.cooperation B.investigation C.perfection D.imagination55.A.straightforward B.instructive C.acceptable D.beneficialSection BDirections:Read the following two passage.Each passage is followed by several questions or unfinished statements.For each of them there are four choices marked A,B,C and D.Choose the one that fits best according to the information given in the passage you have just read.(A)Do Your Employees suffer from Friday-Itis?Have you heard about Friday-itis,the significant drop in motivation and concentration seen on Fridays among may workers who look forward to their weekend days off but a day in advance?Almost every employee has at some point experienced the need to take an unplanned day offfor rest,for the sake of his physical or mental health.Defined by the Labour Standards Act and most collective agreements and employment contracts,a sick day is a one-time day of leave taken by an employee due to the inability,whether psychological and physical,to be present at his workplace to adequately carry out his professional functions.Short and occasional,this involuntary absence is easily accepted and absorbed by the company.But when it is repeated and almost invariably falls on the eve of a weekend,absence for last minute sickness can quickly give an employer a headache.When it becomes avoidable,systematic and based on a false motive,this"Friday Sickness" syndrome falls into the category of unreasonable and abusive absenteeism.This has significant impact on a company's organizational efficiency,productivity and competitiveness.So much so that many managers avoid setting up important meetings on Fridays,knowing the higher likelihood that their staff will all be at work the rest of the week.Despite the high cost of absenteeism,a study published in2012by the Conference Board of Canada found that only46%of Canadian companies report that they monitor their employees' absences and the reasons given.To properly assess absenteeism means beginning to understand it and not letting it pass.Although abusive in form and use,Friday sick leave can also be explained by other factors that need to be taken seriously.An employee can take a break in the wrong way that he might reasonably need,in connection with factors specific to the company--having a clearly excessive, workload,for example.Focusing on suspicious monitoring or the threat of fines is not a solution for employers. Indirectly forcing presenteeism on an employee,in other words to come in and stay at work even when he has serious reasons not to do so,can be even more damaging for everyone.Statistics Canada estimates that loss of productivity associated with presenteeism is7.5times higher than that caused by absenteeism.56.What is Friday-itis?A.A decrease in motivation on Fridays due to employees anticipating the weekend.B.A medical condition that specifically affects employees on Fridays.C.A term used to describe excessive absenteeism on Fridays.D.A syndrome where employees refuse to work on Fridays.57.According to the passage,what kind of absence does the company easily accept?A.Absence for last minute sickness.B.Repeated absence before weekends.C.Short and occasional absence.D.Avoidable and systematic absence.58.What impact does repeated last-minute sickness absences on Fridays have on employers?A.It leads to increased productivity and competitiveness.B.It causes employees to prioritize rest and their overall well-being.C.It has a negative impact on organizational efficiency and productivity.D.It provides employers with a headache due to the need for more meetings.59.What is the potential consequence of forcing presenteeism on employees?A.It leads to a decrease in overall productivity.B.It results in a decrease in absenteeism rates.C.It helps in improving employees'motivation and concentration.D.It causes employees to take unplanned days off more frequently.(B)Memberships Sun City OV Resident Public Single Couple Single Couple18Hole PlayCurrent Annual$3,590$6,685$4,060$7,175 New Annual$3,770$7,020$4,265$7,535 Current Combo18/9$5,345$6,230 Hyrid(Fee+Reduced Daily Rate)$1,000$1,250New Combo18/9$5,615$6,540 Corporate$3,1039Hole PlayCurrent Annual$2,155$4,020$2,440$4,530 New Annual$2,265$4,220$2,565$4,755Additional Offerings18-Hole Smart Card(Virtual Punch Card)$480$7009-Hole Smart Card(Virtual Punch Card)$32018-HOLE ANNUAL MEMBERSHIPS●Green fees included●Driving range privileges●9-day advance tee time reservations●Corporate Membership:Limited availabilityAfter11:00AM,Mon-Fri;anytime Sat-Sun and holidays9-HOLE ANNUAL MEMBERSHIPS●Green fees included●Driving range privileges●8-day advance tee time reservations●Additional9holes10/11-5/31$20-6/1/-9/19$10MEMBER BENEFITS●NO TRAIL FEE for private cart owners●NO INITIATION FEE●Pro Shop discount25%off apparel10%off all accessories,equipment&golf balls,excluding sale items.●Members and resident's guests play at the resident guest's daily rate when accompanied bymember or resident.Resident guest rate is an additional$10for18and$5for9holes10/11/20-5/31/21●Payment schedule available(9&18-Hole Annual memberships only)50%before July1-balance due by Oct.31NOTE:Membership rates for residents do not include a golf cart.An additional cart fee will be applied for residents when using a club cart.HYBRID MEMBERSHIP●Golf Fee per season(Reduced Daily Rate does not include the rental cart or tax)●Summer18holes-$15/9holes-$10●Fall18holes-$25/9holes$15●Winter18holes$30/9holes$20●Spring18holes-$25/9holes$15●8-day advance tee time reservations●Pro Shop discounts25%off apparel10%off accessories,equipment,shoes,hats,and golfballs,excluding sale items.SMART CARD-10PLAY●10--Pre-paid Green fees●8-day advance tee-time reservations●May be used for guest(s)●No expiration or refunds●Golf cart not included in Resident Smart Card●Public Smart Card includes cartNEW ANNUAL MEMBERS●Purchases your annual pass June1and play for13months(6/1/20-6/30/21)●Proration available after7/15/2160.If you are one of Sun City OV residents'guests who want to play for18-Hole for3days,what is the overall rate?A.$15B.$30C.$45D.$6061.Which of the following is NOT TRUE according to this advertisement?A.If you are a resident,your membership rates will include a golf cart.B.If you apply for a Smart Card,you are not entitled to an opportunity of refunds.C.If you apply for a hybrid membership and you want to save money,you can play in summer.D.For a non-resident to apply for a single18-HPCA membership,you have to pay at least$2030 before July1st.62.Where would you most probably see this ad?A.A food magazine.B.A science journal.C.A travel brochureD.A fitness leaflet.(C)DeafenedIt has always been assumed that noise is a problem unique to animals.But a new study by Ali Akbar has revealed that plants suffer too.That plants can be damaged indirectly by noise pollution has never been in doubt.Since most flowering species depend upon pollinators(授粉者)and most fruit-bearing species need animals to spread around their seeds,it is obvious that if these animal partners are harmed by noise then their botanical counterparts(同类者、极其相似的人或物)will do badly,too.What has remained unknown is whether or not plants themselves suffer directly from noise pollution.Scientists have previously assumed that plants may be able to sense sound waves as they are struck by them.A number of experiments have confirmed this in recent years--plants heavily exposed to ultrasound(超声)in the lab have shown a range of negative responses including the expression of stress-related genes,slowed growth and reduced development of seeds.Yet attacking plants with ultrasound is not the same as growing them in the presence of actual traffic noise.To this end,Ali Akbar decid'ed to set up an experiment to study precisely this question.Working with a team of colleagues,he grew marigolds and sage in his lab that are commonly found in urban environments.The plants were divided into two groups after getting mature.One group was exposed to73decibels(分贝)of traffic noise.The other group was left to grow in silence.After15days had passed,samples were taken from the youngest fully expanded leaves on every plant in the experiment and studied.None of the plants exposed to the traffic noise did well.Analysis of their leaves revealed that all of them were suffering.The team found that a range of hormones(荷尔蒙)normally associated with healthy growth and development in plants were present at significantly reduced levels in the plants exposed to the noise.Two stress hormones,which are normally produced to prevent insect attacks and deal with salty soil or very cold temperatures,were elevated.Ali Akbar's findings make it clear that though plants lack ears,the noise of traffic still bothers them enough to trigger dramatic stress responses that are not much different to those that would befound in plants exposed to drought,highly concentrated salt or heavy metals in their soil.The next question is whether all noise pollution affects all species in the same way.The natural world is by no means silent.Whether some plant species have evolved coping mechanisms, which might one day be collected and transferred into urban-living species,is a mystery worth exploring.63.What did scientists believe in the past?A.Noise is a problem facing both animals and plants.B.Plants can be affected by noise in an indirect way.C.Animal partners can do harm to their botanical partners.D.Sound waves can damage plants they strike.64.What did Ali Akbar want to confirm in their experiment?A.Ultrasound is similar to traffic noise in that it doesn't harm plants.B.Plants exposed to ultrasound exhibit negative signs of growth.C.Traffic noise causes plants to grow unhealthfully and slowly.D.Plant leaves contain hormones dealing with a harsh environment.65.Which of the following statements is TRUE?A.Plants growing is silence have a reduced level of hormones.B.Plants exposed to noise respond differently from those in drought.C.Different noise pollution has the same effect on all species.D.An increases in stress hormones in plants means they are in hardship.66.What can we infer from the passage?A.Some plants may not necessarily be harmed by the sound in nature.B.Some plants have surely developed a method to cope with traffic noise.C.Unban-living species can be engineered to grow well in the natural world.D.The silence in nature promotes the development of noise coping mechanisms.Section CDirections:Read the passage carefully.Fill in each blank with a proper sentence given in the box.Each sentence can be used only once.Note that there are two more sentences than you need.A.So people feel like they are getting more done.B.If you do these or similar things,then you are one of many multitaskers.C.People are less able to filter out their knowledge of the previous task and look at things afresh.D.Some psychologists say that the human brain just isn't good at concentrating on two things at the same time.E.Recent studies,however,show that Melissa and others like her are perhaps getting less done than they think they are.F.Now,with numerous studies to refer to,the answer could not be more clear-multitasking isn't all it's supposed to be.Are you a multitasker?Do you watch TV and cook dinner at the same time?Do you often interrupt your work to check your email?Do you talk on your phone while you're driving?_________67_________ According to a survey by the magazine Scientific American MIND,90percent of American adults multitask regularly.Most people say they multitask because they are too busy,and multitasking saves time. Popular electronic devices like tablets and smart phones make it convenient to do several tasks at once._________68_________Melissa Brown of Evanston,Illinois,says she has no trouble listening to music,surfing the Internet,and sending text messages to friends while she does her homework._________69_________That's because with multitasking,there are actually many "micro-interruptions"in which people stop one task,start another,and eventually return to the first one.These stops and starts make it difficult to concentrate,and so multitaskers actually waste time, according to a study at Microsoft Corporation.In the study,workers who interrupted their work to answer an email or text message took an average of15minutes to return to the work they were doing before the interruption._________70_________This doesn't matter if you're only preparing a salad and listening to the radio,they say.But if you're doing a difficult task that requires thinking,like writing a report, then multitasking can slow you down and cause mistakes.It can even be dangerous,as in the case of people who talk on the phone,eat,or even apply makeup while driving.IV.Summary WritingDirections:Read the following three passages.Summarize the main idea and the main point(s)of the passage in no more e your own words as far as possible.Brain HungerDo you ever feel like no matter how much you eat,you are still not full?You may be suffering from a condition known as"brain hunger".This occurs when the dopamine(多巴胺)signaling in your brain is damaged,making it difficult for your body to recognize when it has had enough food.What are the underlying causes of brain hunger?Genetics can play a role.Research has shown that the dopamine receptor D4gene may be responsible for regulating cognitive functions related to eating behavior and body weight.Some people have this gene variation that does not allow for a normal dopamine release in response to things that typically would bring joy and pleasure,including food.This means that those individuals won't get the same"high"feeling they would normally experience when eating. Obesity is also linked to brain hunger.Brain scans of obese individuals show changes in dopamine signaling pathways which can lead to less recognition of the feeling of being full even after a meal.While it is still unclear whether obesity or genetics is the primary contributor to brain hunger, one thing is certain losing weight alone is not enough for those affected.Studies show that certain areas of the brain responsible for sensing fullness do not change even with weight loss,which could lead to continued hunger and weight regain.So,what came first:genetics or obesity that cause this brain signaling change?It is possible that if someone has a genetic tendency to be affected by this abnormal dopamine signaling,an environmental trigger can start a series of brain hunger which brings about overeating.It is also important to practice mindful eating and pay attention to hunger cues to begin perceiving the feeling of being full.Brain hunger can be an uncomfortable and frustrating condition,but it is possible to manage through a combination of treatments.V.TranslationDirections:Translate the following sentences into English,using the words given in thebrackets.72.要不了多久这款新产品就会被推向市场。
- 1、下载文档前请自行甄别文档内容的完整性,平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益,请联系客服反馈,我们会尽快为您处理(人工客服工作时间:9:00-18:30)。
(考试时间:120分钟,总分:140分)试卷分为第一部分(听力)和第二部分(笔试)。
第一部分:听力(20分)一、听十段对话选择正确的答案。
( )1. What kind of TV programme does the boy like bestA. B. C.( )2. What type of TV programme is the man’s son interested inA. B. C.( ) 3. How will the weather be this afternoonA. B. C.( )4. Who is the man’s favourite actressA. B. C.( )5. What is the boy’s English teacher likeA. Active.B. Helpful.C. Polite.( )6. Why didn't Jenny look wellA. She was ill.B. She was afraid of math.C. She stayed up late. ( )7. What’s the boy’s problemA. He is too shy.B. His face turns red.C. He is alone.( )8. What’s the relationship between the two speakersA. A father and a son.B. A headmaster and a teacher.C. A teacher and a student. ( )9. What does Bob like to do in his free timeA. Collect cards.B. Collect stickers.C. Play football.( )10. How will the woman probably go to the nearest hospitalA. By bus.B. On foot.C. By taxi.二、听对话和独白回答问题。
听第一段材料,回答11~12题。
( )11. What are they talking aboutA. Last night's TV play.B. Last night's film.C. Last night's football game.( )12. What are they going to have for supperA. Some coffee.B. Sandwiches.C. Some coffee and sandwiches.听第二段材料,回答13~15题。
( )13. What time will the film beginA. At 8:00 .B. At 7:30 .C. At 6:00 .( )14. How many tickets has the girl gotA. One.B. Two.C. Three.( )15. When may the dialogue happenA. In the morning.B. At noon.C. In the evening.听第三段独白,回答16~20题。
( )16. What does Liu Dehua doA. A singer and dancer.B. A singer and actor.C. A dancer and actor.( )17. Liu Dehua's English name is _____.A. Liu FurongB. Dehua LiuC. Andy Lau( )18. He is _____ years old.A. 47B. 33C. 53( )19. What ball does Liu Dehua likeA. Football.B. Driving.C. Bowling(保龄球).( )20. Liu Dehua has ______.A. one brotherB. two brothersC. four brothers第二部分(笔试)第I卷一、单项选择(20分)( )21. Is there going to be a new bridge ______ the city and the townA. fromB. betweenC. amongD. both( )22. Would you please _______ tomorrow morningA. hand it inB. turn in itC. hand in itD. hand over it ( )23.—Did you go to bed early last night—No. I watched a _____ movie, so I didn't go to bed until 11 o’clock.A. 3-hoursB. 3-hours’C. 3-hour’sD. 3-hour( )24. _______of them has known about this because it has been already reported on TV.A. Each oneB. EverybodyC. EveryoneD. Every one( )25. I won’t leave the classroom until my homework ______.A. finishesB. is finishedC. will finishD. are finished ( )26. There ____ a number of students in the hall and the number of them ___ over 300.A. are, isB. is, areC. are, areD. is, is( )27. Their school has more than two _____ teachers and _____ students.A. hundreds of, thousands ofB. hundred, thousands ofC. hundred of, thousandD. hundreds, thousands of( )28. —Why do you all like Betty—Because she is always thinking ______ of others than herself.A. a littleB. muchC. much lessD. much more ( )29. The movie Batman and Joker is ______ one that I've ever seen.A. more excitingB. more excitedC. the most excitingD. the most excited( )30. When we hurried to the theatre, the concert ______ for five minutes.A. had been onB. had begunC. had begun onD. began( )31. —Did you meet your friend Peter yesterday—Yes. We _______ each other for over ten years.A. didn’t seeB. haven’t seenC. hadn’t seenD. don’t see ( )32. You’d better ______ others during the night. It’s not polite.A. phoneB. not phoneC. to phoneD. not to phone ( )33. It's so hot here. ________ you open the windowsA. What aboutB. Why notC. PerhapsD. Why don't ( )34. I decided not to wait any longer ______ I waited for him at the station for two hours.A. beforeB. afterC. ifD. till( )35.—You are very weak. You ______ take more exercise. It's good for you.—You are right, I'll take your advice.A. mustB. have toC. ought toD. may( ) Ming put his effort ________ basketball training _______ a very young age.A. to, inB. to, atC. into, inD. into, at( ) only the parents but also their child __________the National Stadium the Bird’s Nest.A. have visitedB. is going to visitC. are going to visitD. have been to( )38. Mike has much difficulty ________ Chinese so he often asks me ________ help.A. to understand, withB. understanding, ofC. to understand, forD. understanding, for( )39. He always gives me useful advice when I don’t know _____.A. who to talkB. who to talk toC. who will I talk toD. who should I talk with( )40. —Don’t be late for school next t ime, ______—______.A. will you; Yes, I won’tB. will you; No, I won’tC. do you; Yes, I willD. do you; No, I won’t二、完形填空(15分)John Thomas was an 18-year-old student, but he had been a famous champion(冠军). Everybody at Boston University liked this tall, quiet boy. Once he was hurt, everybody at Boston University was 41 . People all over the country 42 about John Thomas and often asked, "Will he ever jump again"John's mother went to the hospital to see her son. She looked at his 43 leg. Then she looked into his 44 . She knew what her son would 45 . "You're going to jump again, John, I know it," she said." 46 will be all right."If John hoped to jump again, he would have a 47 to do. He began at once. Even in his hospital bed John started to exercise. He used a wheel(轮子) and other metal things. Soon his 48 looked like a machine shop!It was May when John 49 the hospital. "Is it all right if I go camping this summer" he asked the doctors."Yes," the doctors said. "But take it easy on that foot."John took only 50 walks at first. He was taking it easy on his foot. But not on anything else. He went swimming and did other kinds of exercises. He exercised 51 his body cried for a rest. Some days later, he exercised a little 52 . In late summer John went back to 53 . He asked if he could practise with the football team. Football wasn't his favorite, but he had to get that leg 54 again! He worked hard. "No one pushed him as hard as he pushed himself," said one of his friends. "To 55 a champion fighting back is a wonderful thing to watch."( )41. A. sorry B. afraid C. alone D. tired( )42. A. thought B. talked C. heard D. moved( )43. A. broken B. lost C. missing D. dead( )44. A. face B. foot C. eyes D. leg( )45. A. make B. use C. agree D. do( )46. A. Nothing B. Anything C. Something D. Everything( )47. A. little B. lot C. few D. bit( )48. A. chair B. classroom C. home D. bed( )49. A. reached B. called C. left D. found( )50. A. short B. long C. quick D. fast( )51. a. after B. if C. until D. when( )52. A. later B. better C. more D. less( )53. A. school B. hospital C. shop D. church( )54. A. thick B. strong C. straight D. hard( )55. A. look B. hear C. know D. see三、阅读理解(30分)(A)Questionnaire(调查问卷)This questionnaire is about your hobby. We want to know the relationship betweenyour hobby and your job. You needn’t tell us your real name, but please answer thefollowing questions honestly. Thanks a lot for your cooperation(合作).★Are you a man or a woman□man ■woman★What is your job□t eacher □worker □student ■lawyer(律师) □others★How old are you□u nder 10 □11~20 ■21~30 □31~40 □above 40★How much do you make a month□under 1,000yuan□1,000—3,000 yuan ■3,000-5,000 yuan□above5,000 yuan★What do you usually do on holidays□w atch TV □go shopping □climb mountains □ride bikes ■play ballgames □see movies □others★How much do you want to spend for your hobby□n one □under 200 ■200—500 □above 500( )56. What is the paper aboutA. One’s job.B. One’s hobby.C. The relationship between one’s job and hobby.D. Money.( )57. What does the woman usually do on holidaysA. She usually does some shopping.B. She usually rides bikes.C. She usually climbs mountains.D. She usually plays ball games.( )58. Which of the following sentences is TRUEA. She doesn’t want to spend any money on sports.B. She likes to climb mountains.C. She is a young lawyer.D. She is only 35 years old.(B)Reading is an important activity for many Americans. Today, thousands of men, women and children are members of groups to discuss the books they read.No one knows how many Americans belong to reading groups called book clubs. Yetpublishers(发行人) and bookshops report that more and more throughout the United States are joining the clubs.Most of the clubs work the same way. Members read the same book at the same time. Then they meet to talk about the book. Members may be friends or people who live near each other. Or, they may be people who work together.Book clubs may be for only women or only men. Or, they can be for husbands and wives together. Some are family groups where parents attend with their children. Children may belong to book clubs of their own.Some book clubs in the United States are for husbands and wives. One woman says this is a great idea for a book club. She says husbands and wives often talk to each other only about their children, work, or money problems. "Talking about books," she says, "opens a whole new level of communication."American children belong to book clubs, too. They may be as young as four years old or as old as eighteen. Some children's clubs get help from the Great Book Foundation (基金). This educational organization provides lists of books to read. It also trains people to lead discussions about the books.( )59. It is reported that _____ in the United States.A. reading is important for menB. a lot of people are joining book clubsC. all the people are reading their booksD. fewer and fewer people in the USA are joining the clubs( )60. Most book clubs want their members ______.A. to read the same book at the same timeB. to buy a lot of books at the same timeC. to read different books at the same timeD. to read as many books as they can( )61. Before joining the book club, husbands and wives often talk about ______.A. housework and workB. computer gamesC. books and writersD. children, money or work( )62. The best title of the passage might be _______.A. An Important Activity in the USAB. Reading Clubs for ChildrenC. Book Clubs in the USAD. All kinds of Clubs in the USA(C)Do you still get free plastic(塑料的) bags from the supermarkets Things have changed.China has banned (禁止) free plastic bags at shops and supermarkets, and people have to pay for using plastic bags. The rule started on June 1 last year. It came because our country tried to make litter less. Making super-thin (超薄) plastic bags has also been banned.The Chinese once used about 3,000,000,000 plastic shopping bags a day, and they have caused pollution of the environment. The bags have become a main cause of plastic pollution because they are easy to break and people throw them away here and there. So the Chinese people are encouraged to bring their own bags for shopping.What kind of shopping bag is the best to bring Some students in Chongqing have a good idea. They make their own shopping bags. They use old clothes to make cloth bags, and send them to their parents as presents. They also ask their parents and friends to use cloth bags instead of plasticones. They think it is their duty to protect the environment.( )63. People in China have to _____ now.A. throw plastic bags here and thereB. collect plastic bags in the streetC. pay for using plastic bags at shops and supermarketsD. use free plastic bags at shops and supermarkets( )64. The Chinese people are encouraged to bring _____ for shopping.A. no bagsB. free plastic bagsC. their own bagsD. super-thin plastic bags( )65. Some students in Chongqing ______.A. ask their parents to make cloth bagsB. make cloth bags themselvesC. pick up plastic bags everywhereD. buy cloth bags for their parents( )66. What’s the main idea of this articleA. Making super-thin plastic bags has been banned in China.B. The bags have become a main cause of plastic pollution.C. Some students in Chongqing begin to make their own shopping bags.D. To protect the environment, free plastic bags have been banned in China.(D)If you ask about the hottest star in South Korea this year, you will certainly hear the name Rain. The 22-year-old singer is powerful and energetic on stage. His dances and voice are great! On December 18, Rain and other Korean stars, including Baby V, O, X and As One, amazed their fans at the concert “Night of Love” in Beijing. “I love his small eyes and good build(体格),” Said Hanna Kim, 12, a Korean girl who studies in China, “He’s a nice person.”Rain’s real name is Jung Ji Hoon(郑智薰). His music teacher thinks his eyes are wet and smiles are sunny. He wrote lots of the songs on his first CD during rainy days. So his teacher gave him the name Rain.When he was a child, he liked to be quiet. He wasn’t good at studying. So no one noticed this tall boy in class. But he surprised his classmates in Grade Six. He danced for them all. Everyone looked at him in a different way. So he began to danc e more. “I enjoy dancing,” he said. Rain really wanted to sing and dance. He worked hard at school, so that his father would let him dance. He gave up rugby(橄榄球) and put all his time and energy into dancing. When his mother died four years ago, he held the sadness in and kept on practising day and night.Now Rain has won awards with his music. His CDs have sold millions and he has acted in TV shows. Rain doesn’t want to sing for ever, though. He dreams of doing a different job. “When I stop singing, I’d like to design clothes. Being a designer is my childhood(童年) dream,” he said. ( )67. Whose does the word “his” in the sentence “I love his small eyes and good build …” refer to(指)C. As One’s .D. Rain’s music teacher’s.( )68. Why did Jung Ji Hoon get his name of RainA. Because he liked rain.B. Because he was born on a rainy day.C. Because he was caught in a rain in his mother’s arms on the day when he was bo rn.D. Because many songs of his first CD were written by him during rainy days.( )69. Rain began to attract others’ attention when .A. he began to go to schoolB. he was twelve years oldC. he was in Grade SixD. his mother died( )70. Rain also likes to be besides singing and dancing.A. a rugby playerB. a scientistC. a clothes designerD. a salesman第II卷四、词汇(20分)A. 根据汉语、英文解释或句意写出句中所缺单词71. Can you _____________(提供) me a room to study72. Would you please pass on a ______________(音信) for me to Jack73. The car _____________(产业) is important to the United States.74. Mr. Davies pays me fifty yuan for my work ______________.(happening once a week)75. Please _____________ the house by the front door. (go or come in)76. Some kind people gave Hong Zhanhui some money, but he ____________ at last.77. We should read English _____________ in the morning if we want to learn it well.B. 选用方框中所给词的适当形式填空far, value, direct, silence, surprise , affect, appear78. There must be ___________ in the library so that people can work.79. There's nothing ___________ about that. It's what everybody expected to happen.80. Do you think the medicine will have a bad ____________81. Zhang Yimou is one of the most famous _____________ in China.82. This English book will be ____________ to me in my work.83. Some rare animals have _____________ from the earth.84. You can call me if you need ________ help with your work.C. 选用方框中所给动词的适当形式填空live, drive, leave, hold, keep, pass85. The doctor told me an apple a day the doctor away.86. I saw your uncle while I _______________________ along the street.87. He _____________________ in Beijing for three months last year.88. I hear you ___________________ home tomorrow, aren’t you89. Three years _________ since he left the small village.90. The 30th Olympic Games __________________ in London in 2012.五、根据首字母提示补全对话(10分)(I= Interviewe; S= Sonia)I: Good morning. Today we have Sonia, a volunteer, with us. Welcome to our radio station.S: Thanks. I'm g 91 to be here.I: Well Sonia, I hear you have b 92 to Africa as a volunteer. Can you tell us where you worked in AfricaS: I worked in a country called Kenya, in East Africa. It was the most wonderful time in myl 93 .I: Really Why do you say soS: Because the people there are so friendly t 94 I can't forget them at all.I: What did you do thereS: I was a teacher. The c 95 in my class were blind. But they were very hard-working.I: And our listeners want to know what your t 96 was.S: The only bad thing was that I couldn't see my family or friends. I m 97 them very much.I: And the last question, Sonia. Will you go back to t 98 the blind children in the futureS: Oh, yes, I really hope I can. It is a h 99 job, but I love it.I: Thank you for j 100 us, Sonia. It was nice talking to you.S: Thank you!91. ___________ 92. ___________ 93. ___________ 94. ___________95. ___________ 97. ___________ 98. ___________99. ___________ 100. ___________六、任务型阅读(5分)It is reported that 300 million people in China have eyesight trouble. More and more parents hope to save their children's eyesight with medicine, or by correcting the ways that children read and sit. But in fact, one should start with the exercise on one's feet. Here are three ways to save eyes:First, don't tie your shoes too closely. Try wearing comfortable and soft socks or walking without socks and shoes at home. While you are traveling, try wearing cloth shoes in order to improve blood circulation(循环).Second, walking on tiptoes is good for one's eyesight. It can fight against eyesight trouble. Numbers show that most of ballet performers' eyesight is better.Third, rope skipping(跳绳) can also be good for one's eyesight. While skipping rope, one has to move quickly, making both the brain and the eyes excited. It may also help make one grow taller.Besides foot exercises, it is good to pull one's ears. Pulling the ears 20 times quickly is also a great way. It can keep one's eyes healthy.101. What does the passage mainly talk about_________________________________________________________102. Why is most of the ballet performers' eyesight good_________________________________________________________103. What shoes should you wear while traveling_________________________________________________________104. Is rope skipping good for eyesight_________________________________________________________105. Besides foot exercises, there is another way to save one's eyes. What is it_________________________________________________________七、书面表达(20分)假如你叫李平,参加了学校开展的“有烦恼向谁说”的调查活动,调查结果如图所示。