2016年1月静安一模
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2016年上海市静安区中考数学一模试卷一、选择题:(本大题共6题,每题4分,满分24分)1.(4分)的相反数是()A.B.﹣C.D.﹣2.(4分)下列方程中,有实数解的是()A.x2﹣x+1=0B.=1﹣x C.=0D.=1 3.(4分)化简(x﹣1﹣1)﹣1的结果是()A.B.C.x﹣1D.1﹣x4.(4分)如果点A(2,m)在抛物线y=x2上,将抛物线向右平移3个单位后,点A同时平移到点A′,那么A′坐标为()A.(2,1)B.(2,7)C.(5,4)D.(﹣1,4)5.(4分)在Rt△ABC中,∠C=90°,CD是高,如果AD=m,∠A=α,那么BC的长为()A.m•tanα•cosαB.m•cotα•cosαC.D.6.(4分)如图,在△ABC与△ADE中,∠BAC=∠D,要使△ABC与△ADE相似,还需满足下列条件中的()A.=B.=C.=D.=二、填空题:(本大题共12题,每题4分,满分44分)7.(4分)化简:(﹣2a2)3=.8.(4分)函数的定义域是.9.(4分)方程=x﹣1的根为.10.(4分)如果函数y=(m﹣3)x+1﹣m的图象经过第二、三、四象限,那么常数m的取值范围为.11.(4分)二次函数y=x2﹣6x+1的图象的顶点坐标是.12.(4分)如果抛物线y=ax2﹣2ax+5与y轴交于点A,那么点A关于此抛物线对称轴的对称点坐标是.13.(4分)如图,已知D、E分别是△ABC的边AB和AC上的点,DE∥BC,BE与CD相交于点F,如果AE=1,CE=2,那么EF:BF等于.14.(4分)在Rt△ABC中,∠C=90°,点G是重心,如果sin A=,BC=2,那么GC的长等于.15.(4分)已知在梯形ABCD中,AD∥BC,BC=2AD,设=,=,那么=.(用向量,的式子表示)16.(4分)如图,在▱ABCD中,AE⊥BC,垂足为E,如果AB=5,BC=8,sin B =,那么tan∠CDE=.17.(4分)将▱ABCD(如图)绕点A旋转后,点D落在边AB上的点D′,点C落到C′,且点C′、B、C在一直线上.如果AB=13,AD=3,那么∠A 的余弦值为.三、解答题:(本大题7题,满分78分)18.(10分)化简:÷,并求当x=时的值.19.(10分)用配方法解方程:2x2﹣3x﹣3=0.20.(10分)如图,直线y=x与反比例函数的图象交于点A(3,a),第一象限内的点B在这个反比例函数图象上,OB与x轴正半轴的夹角为α,且tanα=.(1)求点B的坐标;(2)求△OAB的面积.21.(10分)如图,从地面上的点A看一山坡上的电线杆PQ,测得杆顶端点P 的仰角是26.6°,向前走30米到达B点,测得杆顶端点P和杆底端点Q的仰角分别是45°和33.7°,求该电线杆PQ的高度(结果精确到1米)(备用数据:sin26.6°=0.45,cos26.6°=0.89,tan26.6°=0.50,cot26.6°=2.00;sin33.7°=0.55,cos33.7°=0.83,tan33.7°=0.67,cot33.7°=1.50)22.(12分)已知:如图,在△ABC中,点D、E分别在边BC、AB上,BD=AD=AC,AD与CE相交于点F,AE2=EF•EC.(1)求证:∠ADC=∠DCE+∠EAF;(2)求证:AF•AD=AB•EF.23.(12分)如图,直线y=x+1与x轴、y轴分别相交于点A、B,二次函数的图象与y轴相交于点C,与直线y=x+1相交于点A、D,CD∥x轴,∠CDA=∠OCA.(1)求点C的坐标;(2)求这个二次函数的解析式.24.(14分)已知:在梯形ABCD中,AD∥BC,AC=BC=10,cos∠ACB=,点E在对角线AC上,且CE=AD,BE的延长线与射线AD、射线CD分别相交于点F、G,设AD=x,△AEF的面积为y.(1)求证:∠DCA=∠EBC;(2)如图,当点G在线段CD上时,求y关于x的函数解析式,并写出它的定义域;(3)如果△DFG是直角三角形,求△AEF的面积.2016年上海市静安区中考数学一模试卷参考答案与试题解析一、选择题:(本大题共6题,每题4分,满分24分)1.(4分)的相反数是()A.B.﹣C.D.﹣【解答】解:根据相反数定义得:的相反数为:﹣,分子分母同乘得:﹣.故选:D.2.(4分)下列方程中,有实数解的是()A.x2﹣x+1=0B.=1﹣x C.=0D.=1【解答】解:A、∵△=1﹣4=﹣3<0,∴原方程无实数根,B、当1﹣x<0,即x>1时,原方程无实数根,C、当x2﹣x=0,即x=1,或x=0时,原方程无实数根,D、∵=1,∴x=﹣1.故选:D.3.(4分)化简(x﹣1﹣1)﹣1的结果是()A.B.C.x﹣1D.1﹣x【解答】解:原式=(﹣1)﹣1=()﹣1=.故选:A.4.(4分)如果点A(2,m)在抛物线y=x2上,将抛物线向右平移3个单位后,点A同时平移到点A′,那么A′坐标为()A.(2,1)B.(2,7)C.(5,4)D.(﹣1,4)【解答】解:把A(2,m)代入y=x2得m=4,则A点坐标为(2,4),把点A (2,4)向右平移3个单位后所得对应点A′的坐标为(5,4).故选:C.5.(4分)在Rt△ABC中,∠C=90°,CD是高,如果AD=m,∠A=α,那么BC的长为()A.m•tanα•cosαB.m•cotα•cosαC.D.【解答】解:∵在Rt△ABC中,∠C=90°,CD是高,如果AD=m,∠A=α,∴tanα=,∴CD=m•tanα,∵∠ACB=∠A+∠B=90°,∠BDC=∠B+∠BCD=90°,∠A=α,∴∠BCD=α,∴cos∠BCD=,即cos,BC=.故选:C.6.(4分)如图,在△ABC与△ADE中,∠BAC=∠D,要使△ABC与△ADE相似,还需满足下列条件中的()A.=B.=C.=D.=【解答】解:∵∠BAC=∠D,,∴△ABC∽△ADE.故选:C.二、填空题:(本大题共12题,每题4分,满分44分)7.(4分)化简:(﹣2a2)3=﹣8a6.【解答】解:(﹣2a2)3=(﹣2)3•(a2)3=﹣8a6.故答案为:﹣8a6.8.(4分)函数的定义域是x≠﹣2.【解答】解:根据题意得:x+2≠0解得x≠﹣2.故答案为x≠﹣2.9.(4分)方程=x﹣1的根为4.【解答】解:由二次根式性质得:x+5≥0且x﹣1≥0,∴x≥1.将=x﹣1两边平方得:x+5=x2﹣2x+1,整理得:x2﹣3x﹣4=0,分解因式:(x﹣4)(x+1)=0,得:x1=4,x2=﹣1,∵x≥1,∴x=4.故答案为:4.10.(4分)如果函数y=(m﹣3)x+1﹣m的图象经过第二、三、四象限,那么常数m的取值范围为1<m<3.【解答】解:∵函数y=(m﹣3)x+1﹣m的图象经过第二、三、四象限,∴,解得1<m<3.故答案为:1<m<3.11.(4分)二次函数y=x2﹣6x+1的图象的顶点坐标是(3,﹣8).【解答】解:∵y=x2﹣6x+1=(x﹣3)2﹣8,∴抛物线顶点坐标为(3,﹣8).故答案为:(3,﹣8).12.(4分)如果抛物线y=ax2﹣2ax+5与y轴交于点A,那么点A关于此抛物线对称轴的对称点坐标是(2,5).【解答】解:∵抛物线y=ax2﹣2ax+5与y轴交于点A坐标为(0,5),对称轴为x=﹣=1,∴点A(0,5)关于此抛物线对称轴的对称点坐标是(2,5).故答案为:(2,5).13.(4分)如图,已知D、E分别是△ABC的边AB和AC上的点,DE∥BC,BE与CD相交于点F,如果AE=1,CE=2,那么EF:BF等于.【解答】解:∵AE=1,CE=2,∴AC=3,∵DE∥BC,∴△ADE∽△ABC,∴=,∵DE∥BC,∴△DEF∽△BCF,∴=,故答案为:1:3.14.(4分)在Rt△ABC中,∠C=90°,点G是重心,如果sin A=,BC=2,那么GC的长等于2.【解答】解:如图所示,∵在Rt△ABC中,∠C=90°,sin A=,BC=2,∴AB=3BC=6.∵点G是重心,∴CD为△ABC的中线,∴CG=CD=×3=2.故答案为:2.15.(4分)已知在梯形ABCD中,AD∥BC,BC=2AD,设=,=,那么=﹣﹣.(用向量,的式子表示)【解答】解:如图,过点D作DE∥AB,交BC于点E,∵AD∥BC,∴四边形ABCD是平行四边形,∴BE=AD,DE=AB,∵BC=2AD,=,=,∴==,==,∴=﹣=﹣(+)=﹣(+)=﹣﹣.故答案为:﹣﹣.16.(4分)如图,在▱ABCD中,AE⊥BC,垂足为E,如果AB=5,BC=8,sin B =,那么tan∠CDE=.【解答】解:在△ABE中,AE⊥BC,AB=5,sin B=,∴BE=3,AE=4.∴EC=BC﹣BE=8﹣3=5.∵平行四边形ABCD,∴△CED为等腰三角形.∴∠CDE=∠CED.∵AD∥BC,∴∠ADE=∠CED.∴∠CDE=∠ADE.在Rt△ADE中,AE=4,AD=BC=8,∴tan∠CDE==,故答案为:.17.(4分)将▱ABCD(如图)绕点A旋转后,点D落在边AB上的点D′,点C落到C′,且点C′、B、C在一直线上.如果AB=13,AD=3,那么∠A 的余弦值为.【解答】解:∵▱ABCD绕点A旋转后得到▱AB′C′D′,∴∠DAB=∠D′AB′,AB=AB′=C′D′=13,∵AB′∥C′D′,∴∠D′AB′=∠BD′C′,∵四边形ABCD为平行四边形,∴∠C=∠DAB,∴∠C=∠BD′C′,∵点C′、B、C在一直线上,而AB∥CD,∴∠C=∠C′BD′,∴∠C′BD′=∠BD′C′,∴△C′BD′为等腰三角形,作C′H⊥D′B,则BH=D′H,∵AB=13,AD=3,∴BD′=10,∴D′H=5,∴cos∠HD′C′==,即∠A的余弦值为.故答案为.三、解答题:(本大题7题,满分78分)18.(10分)化简:÷,并求当x=时的值.【解答】解:原式=•=,当x=时,原式==7.19.(10分)用配方法解方程:2x2﹣3x﹣3=0.【解答】解:2x2﹣3x﹣3=0,x2﹣x﹣=0,x2﹣x+=+,(x﹣)2=,x﹣=±,解得:x1=,x2=.20.(10分)如图,直线y=x与反比例函数的图象交于点A(3,a),第一象限内的点B在这个反比例函数图象上,OB与x轴正半轴的夹角为α,且tanα=.(1)求点B的坐标;(2)求△OAB的面积.【解答】解:(1)∵直线y=x与反比例函数的图象交于点A(3,a),∴A(3,4),反比例函数解析式y=,∵点B在这个反比例函数图象上,设B(x,),∵tanα=,∴=,解得:x=±6,∵点B在第一象限,∴x=6,∴B(6,2).答:点B坐标为(6,2).(2)设直线OB为y=kx,(k≠0),将点B(6,2)代入得:k=,∴OB直线解析式为:y=x,过A点做AC⊥x轴,交OB于点C,如下图:则点C坐标为:(3,1),∴AC=3S△OAB的面积=S△OAC的面积+S△ACB的面积,=×|AC|×6=9.△OAB的面积为9.21.(10分)如图,从地面上的点A看一山坡上的电线杆PQ,测得杆顶端点P 的仰角是26.6°,向前走30米到达B点,测得杆顶端点P和杆底端点Q的仰角分别是45°和33.7°,求该电线杆PQ的高度(结果精确到1米)(备用数据:sin26.6°=0.45,cos26.6°=0.89,tan26.6°=0.50,cot26.6°=2.00;sin33.7°=0.55,cos33.7°=0.83,tan33.7°=0.67,cot33.7°=1.50)【解答】解:延长PQ交直线AB于点E,设PE=x米.在直角△ABE中,∠PBE=45°,则BE=PE=x米;∵∠P AE=26.6°在直角△APE中,AE=PE•cot∠P AE≈2x,∵AB=AE﹣BE=30米,则2x﹣x=30,解得:x=30.则BE=PE=30米.在直角△BEQ中,QE=BE•tan∠QBE=30×tan33.7°=30×0.67≈20.1米.∴PQ=PE﹣QE=30﹣20=10(米).答:电线杆PQ的高度是10米.22.(12分)已知:如图,在△ABC中,点D、E分别在边BC、AB上,BD=AD=AC,AD与CE相交于点F,AE2=EF•EC.(1)求证:∠ADC=∠DCE+∠EAF;(2)求证:AF•AD=AB•EF.【解答】证明:(1)∵BD=AD=AC,∴∠B=∠BAD,∠ADC=∠ACD,∵AE2=EF•EC,∴,∵∠E=∠E,∴△EAF∽△ECA,∴∠EAF=∠ECA,∴∠ADC=∠ACD=∠ACE+∠ECB=∠DCE+∠EAF;(2)∵△EAF∽△ECA,∴,即,∵∠EF A=∠BAC,∠EAF=∠B,∴△F AE∽△ABC,∴,∴F A•AC=EF•AB,∵AC=AD,∴AF•AD=AB•EF.23.(12分)如图,直线y=x+1与x轴、y轴分别相交于点A、B,二次函数的图象与y轴相交于点C,与直线y=x+1相交于点A、D,CD∥x轴,∠CDA=∠OCA.(1)求点C的坐标;(2)求这个二次函数的解析式.【解答】解:(1)∵函数y=x+1中,当y=0时,x=﹣2,∴A(﹣2,0),∵函数y=x+1中,当x=0时,y=1,∴B(0,1),∵CD∥x轴,∴∠BAO=∠ADC,∵∠CDA=∠OCA,∴∠ACO=∠BAO,∴tan∠ACO=tan∠BAO=,∴CO=4,∴C(0,4);(2)∵∠AOB=∠OCD=90°,∠BAO=∠BDC=90°,∴△CBD∽△OBA,∴=,∴=,∴CD=6,∴D(6,4),设二次函数的解析式为y=ax2+bx+c,∵图象经过A(﹣2,0),D(6,4),C(0,4),∴,解得:.∴二次函数的解析式为y=﹣x2+x+4.24.(14分)已知:在梯形ABCD中,AD∥BC,AC=BC=10,cos∠ACB=,点E在对角线AC上,且CE=AD,BE的延长线与射线AD、射线CD分别相交于点F、G,设AD=x,△AEF的面积为y.(1)求证:∠DCA=∠EBC;(2)如图,当点G在线段CD上时,求y关于x的函数解析式,并写出它的定义域;(3)如果△DFG是直角三角形,求△AEF的面积.【解答】(1)证明:∵AD∥BC,∴∠DAC=∠ECB,在△DCA和△ECB中,,∴△DCA≌△ECB(SAS),∴∠DCA=∠EBC;(2)∵AD∥BC,∴△AEF∽△CEB,∴,即,解得:AF=,作EH⊥AF于H,如图1所示,∵cos∠ACB=,∴EH=AE=(10﹣x),=×(10﹣x)×=,∴y=S△AEF∴y=,∵点G在线段CD上,∴AF≥AD,即≥x,∴x≤5﹣5,∴0<x≤5﹣5,∴y关于x的函数解析式为:y=,(0<x≤5﹣5);(3)分两种情况考虑:①当∠FDG=90°时,如图2所示:在Rt△ADC中,AD=AC×=8,即x=8,=y==;∴S△AEF②当∠DGF=90°时,过E作EM⊥BC于点M,如图3所示,由(1)得:CE=AF=x,在Rt△EMC中,EM=x,MC=x,∴BM=BC﹣MC=10﹣x,∵∠GCE=∠GBC,∠EGC=∠CGB,∴△CGE∽△BGC,∴=,即=,∵∠EBM=∠CBG,∠BME=∠BGC=90°,∴△BME∽△BGC,∴==,∴=,即x=5,此时y==15,综上,此时△AEF的面积为或15.免责声明:本文系转载自网络,如有侵犯,请联系我们立即删除.百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文免责声明:本文系转载自网络,如有侵犯,请联系我们立即删除.百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文库百度文。
静安区2016学年第一学期期末教学质量教研九年级数学试卷 2017.01(完成时间:100分钟,满分:150分)一、选择题: 1.等于)0(21>-a a( )A.aB.a -C.a a D.aa - 2.下列多项式中,在实数范围不能分解因式的是( )A.y x y x 2222+++B.2222-++xy y xC.y x y x 4422++-D.4422-+-y y x 3.在ABC ∆中,点D 、E 分别在边AB 、AC 上,21=BD AD ,要使DE//BC,还要满足下列条件 中的( ) A.21=BC DE B.31=BC DE C.21=AC AE D.31=AC AE 4.在ABC Rt ∆中,,90=∠C 如果m AB =,,α=∠A 那么AC 的长为( )A.αsin ⋅mB.αcos ⋅mC.αtan m ⋅D.αcot ⋅m 5.如果锐角α的正弦值为33,那么下列结论中正确的是( ) A.30=α B.60=α C.30<α<45 D.6045<<α6.将抛物线12-=ax y 平移后与抛物线2)1(-=x a y 重合,抛物线12-=ax y 上的点A(2,3)同时平移到点'A ,那么点'A 的坐标为( )A.(3,4)B.(1,2)C.(3,2)D.(1,4) 二、选择题:7. 16的平方根是_________. 8. 如果代数式23+-x x 有意义,那么x 的取值范围为___________. 9. 方程112152=-+--x x x 的根为___________. 10. 如果一次函数()23-+-=m x m y 的图像经过第三、四象限,那么常数m 的取值范围为_________.11. 二次函数1082+-=x x y 的图像的顶点坐标是________.12. 如果)4,1(-A 、)4,(m B 在抛物线h x a y +-=2)1(上,那么m 的值为_________.13. 如果DEF ABC ∆∆∽,且A B C ∆与DEF ∆相似比为4:1,那么ABC ∆与DEF ∆面积比为_________.14. 在ABC ∆中,如果10==AC AB ,54cos =B ,那么ABC ∆的重心到底边的距离为________. 15. 已知在ABCD 中,点E 是边BC 的中点,DE 与AC 相交于点F ,设−→−−→−=a AB ,−→−−→−=b BC ,那么._______=−→−FD16. 在ABC ∆,点E D 、分别在AC AB 、上,ABC ADE ∆∆∽,如果3654====AD AC BC AB ,,,,那么ADE ∆的周长为_________.17. 如图,在ABC ∆,点E D 、分别在边AC AB 、上,BC DE //,CED BDC ∠=∠,如果64==CD DE ,,那么AE AD :等于__________.18.一张直角三角形纸片ABC,90=∠C ,AB=24,tanB=32(如图),将它折叠使直角顶点C 与斜边AB 的中点重合,那么折痕的长为。
静安区2015学年第一学期质量检测高三物理试卷2016.1本试卷考试时间120分钟,满分150分。
全卷包括六大题,第一、二大题为单项选择题,第三大题为多项选择题,第四大题为填空题,第五大题为实验题,第六大题为计算题。
考生注意:1、答卷前,务必用钢笔或圆珠笔在答题纸上清楚填写学校、班级、姓名、考号,并用2B 铅笔在答题卡上正确涂写考号.2、第一、第二和第三大题的作答必须用2B 铅笔涂在答题纸上相应的区域内与试卷题号对应的位置,需要更改时,必须将原选项用橡皮擦去,重新选择。
第四、第五和第六大题的作答必须用黑色的钢笔或圆珠笔写在答题纸上与试卷题号对应的位置(作图可用铅笔)。
3、第30、31、32、33题要求写出必要的文字说明、方程式和重要的演算步骤.只写出最后答案,而未写出主要演算过程的,不能得分.有关物理量的数值计算问题,答案中必须明确写出数值和单位。
一.单项选择题 (共16分,每小题2分。
)1.下列说法中正确的是( )(A )液体和气体都没有固定的形状,都容易被压缩(B )理想气体的分子间距离较大,分子间的作用力可以忽略不计(C )气体的体积就是所有气体分子的体积之和(D )液体分子和固体分子都有固定的平衡位置2.右图是某简单逻辑电路的真值表,根据这个真值表可以判断此逻辑电路使用的门电路和表中的“X ”的取值分别为( ) (A )或门,X =1 (B )与门,X =1(C )非门,X =0 (D )或门,X =03.下列说法中,正确的是( )(A )物体吸收热量,内能一定增加(B )物体吸收热量,同时对外做功,内能可能不变(C )热量不可能从低温物体传到高温物体(D )气体自由膨胀是可逆过程4.用一根轻绳将一质量为m 的画框对称悬挂在墙壁的钉子上,不计钉子和绳子的摩擦。
已知轻绳所能承受的最大张力为T 。
现在增加轻绳的长度,而其它条件保持不变,则( )(A )轻绳的张力将变大(B )轻绳的张力将变小(C )轻绳对物体的作用力的合力将增大(D )画框所受的合力变小5.关于电动势,下列叙述中正确的是( )(A )电源电动势在数值上等于内外电压之和,若外电阻变大,电动势也变大输入 输出 A B Z 0 0 0 0 1 X 1 0 1 1 1 1(B )电源电动势等于断路时两极间的电压,电源接入电路时,电动势减小(C )电源的电动势表示电源把其他形式的能转化为电能的本领大小(D )在闭合电路中,并联于电源两端的电压表的示数就是电源电动势6.某理想气体的初始压强为p 0=3atm ,若保持温度不变,使它的压强增大了Δp =2atm ,而它的体积变化了ΔV =4L ,则该气体的初始体积为( )(A )2L (B )4.37L (C )10L (D )6L7.以不同初速度将两个物体同时竖直向上抛出并开始计时,一个物体所受空气阻力可以忽略,另一个物体所受空气阻力大小与物体速率成正比,下列用虚线和实线描述两物体运动的v -t 图像可能正确的是( )v v v vO t O t O t O t(A ) (B ) (C ) (D )8.如图所示,轻支架可绕O 点无摩擦自由转动,A 端靠在墙上,将一小物体放在支架上让其自由下滑。
静安区2015学年第一学期期末教学质量调研九年级英语(满分150分,考试时间100分钟)2016.1考生注意:本卷有7大题,共94小题。
试题均采用连续编号,所有答案务必按照规定在答题纸上完成,做在试卷上不给分。
Part 1 Listening (第一部分听力)I. Listening Comprehension (听力理解): (共30分)A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) : (6分)A B C DE F G H1. ______2. ______3. ______4. ______5. ______6. ______B. Listen to the dialogue and choose the best answer to the question you hear (根据你听到的对话和问题,选出最恰当的答案):(8分)7. A) Coins. B) Clocks. C) Signs. D) Stones.8. A) Once a day. B) Twice a week. C) Once a month. D) Twice a month.9. A) Cloudy. B) Rainy. C) Sunny. D) Windy.10. A) 10 yuan. B) 90 yuan. C) 100 yuan. D) 110 yuan.11. A) In the cinema. B) In the library.C) At the supermarket. D) At the post office.12. A) To speak to Mary. B) To leave a message.C) To see the manager. D) To call back.13. A) She’ll invite the man to dinner later. B) She has her own plans for dinner tonight.C) She doesn’t like to have dinner with him. D) She’ll have dinner with the man tonight.14.A) Tom failed to see the film that day. B) Tom bought two film tickets in all.C) Tom found the film boring. D) Tom missed part of the film.C. Listen to the passage and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容, 符合的用“T”表示,不符合的用“F”表示):(6分)15. Wang is called “the youngest hacker(黑客) in China” after giving a lecture in September.16. Wang began to play computer games because he hated writing computer programs.17. When Wang was a junior school student, he learned to write computer programs all by himself.18. Wang hacked an online shopping site, changed the price and bought a lot of things.19. Wang felt very pleased while he was doing something online against the laws.20. Wang attended the meeting in order to warn people of the Internet risks (危险).D.Listen to the dialogue and complete the following sentences (听对话,完成下列内容,每空格限填一词):(10分)Living on a student budget (预算)21. Lisa is twenty-one, a student at a ________ ________ in Chicago.22. At the start of ________ ________, Lisa’s parents pay the tuition (学费) for her.23. Lisa works about ________ ________ a week to earn about $330 after taxes (税).24. Kim doesn’t think that Lisa has much money left ________ ________.25. To save money, Lisa _______ ________ her roommates instead of going to restaurants.Part 2 Phonetics,Vocabulary and Grammar(第二部分语音、词汇和语法)II.Choose the best answer (选择最恰当的答案) : (共20分)26. Sam was found innocent in the case and was finally set free. Which of the following is correctin pronunciation for the underlined word?A) /k s/ B) /k s/ C) /k s/ D) /k s/27. ______ young man living next door wants to be a detective in the future.A) A B) An C) The D) /28. The story of A Wooden Horse attracts the kids a lot and keeps ______ excited for hours.A) they B) them C) theirs D) themselves29. I got six presents at Christmas. Two were from my parents, and ______ four from my friends.A) others B) the others C) other D) the other30. The little boy wants to know which animals come out for food only ______ night.A) for B) at C) on D) in31. The two sisters planned to borrow some money ______ their friends to start online business.A) with B) to C) by D) from32. Most of Frank’s books, usually with ______ pictures in each book, are for young children.A) hundred B) hundreds C) hundred of D) hundreds of33. The students ran to the playground as ______ as they could to cheer for their favorite team.A) fast B) faster C) fastest D) the fastest34. Julia looked very ______ when she finished her performance and said thanks to the audience.A) happily B) quietly C) lovely D) seriously35. This pet shop is losing its customers ______ its staff work slowly and often make mistakes.A) so B) because C) until D) although36. You will surely realize your dream of being a scientist ______ you give it up halfway.A) though B) if C) unless D) since37. One ______ easily lose his way when he visits or comes to a new place.A) may B) must C) need D) should38. You’d better ______ ask old granny for help because her memory is getting poorer now.A) not B) don’t C) not to D) to not39. Sam denied ______ computer games for hours in the net bar yesterday afternoon.A) to play B) playing C) play D) played40. The Korean girl can speak Chinese without difficulty because she ______ in China for years.A) stay B) will stay C) has stayed D) stayed41. The Greens ______ the welcome party already before Henry came to talk about it.A) has arranged B) would arrange C)were arranging D)had arranged42. – ______ are you able to type the English words?– About forty to fifty words a minute.A) How often B) How long C) How fast D) How far43. Let’s bring our friends confidence and hopes when they are in trouble, ______?A)do you B)shall we C) will you D)do we44. – I won a big prize, an iPad mini2, in our school talent show this year.– ______A) Congratulations! B) You are welcome! C) Best wishes! D) Not at all!45. – We should be more independent in order to meet the needs of our modern life.– ______A) It’s a pleasure. B) What a pity! C) I think so, too. D) The same to you.III. Complete the following passage with the words or phrases in the box. Each can only be used once (将下列单词或词组填入空格。
2016年静安区第一学期高三年级质量检测2016.1语文学科试卷考生注意:1.本考试设试卷和答题纸两部分,试卷包括试题与答题要求,所有答题必须涂(选择题)或写(非选择题)在答题纸上,做在试卷上一律不得分。
2.答题纸与试卷在试题编号上是一一对应的,答题时应特别注意,不能错位。
3.考试时间150分钟。
试卷满分150分。
一阅读(80分)(一) 阅读下文,完成第1-6题。
(17分)民意和舆论童兵①民意是整个社会普遍意志和意识的集中展现。
通过对一定空间和时间民众的观察、捕捉、测量、分析与呈现,人们可以感知甚至洞见民众的所思、所盼、所喜、所恼,从而了解及把握民心向背及民愿所求。
()能够以此为依据,为民执政,务实谋划。
()可以透过广泛的民意考问自己的立场和追求,应对大众的异同及短长,求同存异,取长补短。
()则可以根据民意察情理,判是非,既为官方喉舌,又当民众耳目,力求于人于事,皆以人民大众的根本利益和群体意愿为取舍。
②从广义上说,民意有时也称作舆论。
舆论是大众就他们共同关心或感兴趣的问题公开表达出来的意见的综合。
美国新闻学者约斯特认为,舆论实质上就是公共情绪。
林肯甚至说,“公共情绪就是一切”。
有了公共情绪,一切皆可成功;没有公共情绪,一切皆将失败。
因此,那些铸造公共情绪的人,要比那些制造法律或者宣布判决的人要高深得多。
③然而,民意同舆论还是不同的,它们之间的区别是明显的。
其中,民意的突出特点是非表层性和相对稳定性。
民意是较大规模民众一般的内心活动和对某些事件、事态、机构、人物以及这些机构人物政策言行的相似或相同的评价,这种社会评价及社会情绪有时还可能伴随着相当规模的群体示向性活动。
而舆论只是民意的初期形态,是处于表层的群体情绪。
民众的所言所行,常常出于情感、心绪的激发而成,理智和理性相对较少,以言相传,以情相染的成份较重。
舆论还是变动不居和改变难料的,因而又缺乏稳定性和可测性。
朝意夕改,此事此地一种看法,另一地又持一种看法,是常有的情状。
静安区 2015 学年第一学期高三年级教课质量检测化学试卷(满分 150 分,时间 120 分钟)201601说明: 1.请将正确答案写在答题卷上。
写在试题卷上一律不给分。
2.本卷可能用到的元素相对原子质量H — 1 C— 12 N—14 O— 16 Na —23 Mg —24 Al — 27 S— 32 Cl— 35.5 K — 39 Ca— 40 Mn-55 Fe— 56 W — 183.84第Ⅰ卷(共 66 分)一、选择题(共10 分,每题 2 分,只有一个正确选项)1.以下不属于烧碱工业用途的是A .制皂B.造纸C.精华石油D.制食盐2.油酸的构造简式是A .CH2=CHCOOH B. C15H31COOH C. C17H33COOH D. C17H35COOH3.以下颜色变化不切合事实的是A .溴化银见光分解变白B.润湿醋酸铅试纸遇硫化氢变黑C.热的氧化铜遇乙醇变红 D .苯酚在空气中变粉红4. 罕有气体元素位于元素周期表第18 列,则最外电子排布为2 1的元素位于元素周期表4s 4pA.第 3列B.第 12 列C.第 13 列D.第 14 列5.科学家将石墨在氟磺酸中“溶解”制得石墨烯(即单层石墨),该溶解战胜了石墨层与层之间的A .范德华力B.离子键C.共价键D.金属键二、选择题(共36 分,每题 3 分,只有一个正确选项)6. R 分子的质量为 a g,相对证量为M,则 M 与 a 的比值等于A . 6.02 ×1023 B. 12C 原子质量的十二分之一C. 0.012Kg 12C 所含的原子数 D. 1mol 氧气所含的微粒数7.生铁的熔点是 1100~1200℃,则可推测纯铁的熔点是A .1085℃B. 1160℃C. 1200 ℃D. 1535℃8.将铜加入必定量稀硫酸和过氧化氢混淆溶液中,充足反响后,溶液呈蓝色,有无色气体产生;若还发现容器底部有少许固体,则该固体可能是A. Cu B . S C. CuS D. Cu2 S9.分子式为 C7H8O 的芬芳族化合物不行能是A .醇B.酚C.醚 D .醛10.实验室保存以下药品,宜用棕色、细口、配有磨口塞玻璃瓶的是A .浓硝酸B.氢氟酸C.氢氧化钠溶液 D .硝酸银固体1 1. 根据右表的键能 ( k J /m ol ) 数据不能得出的结论共价键键能是A. H 2(g) → 2H (g)-436kJ H- H 436B. H(g)+F(g) → HF (g)+565kJ H- F 565 H- S 339C. HF 的热稳固性大于 H2SH - Se 314D .H 2S 的沸点比 H 2Se 的沸点高12.用有阳离子互换膜(只同意阳离子经过)的电解槽电解食盐水时,以下表达错误的选项是A .用铁作阴极B.用碳棒作正极C.食盐水从阳极区加入 D .烧碱溶液从阴极区流出13.在必定条件下,分别以高锰酸钾、氯酸钾、过氧化氢为原料制取氧气,当制得同温、同压下同样体积的氧气时,三个反响中转移的电子数之比为A. 1︰1︰1B. 2︰2︰1C. 2︰ 3︰1D. 4︰3︰214.对于 35℃的 0.1mol/L NaOH 溶液,以下表述错误的选项是A . K w> 1×10-14 B.水电离的 c(H + )> 1×10-13 mol/LC. pH> 13 D .c(OH -) = c(H+ ) + c(Na +)15. 以下考证元素的金属性、非金属性强弱的实验,所用物件不合理的是A .比较钾、钠:Na、 K 、 H 2OB .比较镁、铝:MgCl 2溶液、 AlCl 3溶液、 NaOH 溶液C.比较硫、氯:Na2S 溶液、 NaCl 溶液、 pH 试纸D.比较溴、碘:溴水、KI 淀粉试纸16.某乙醛中混有少许乙醇,要剖析该乙醛的纯度,取样,进行以下定量剖析,此中不合理的是A .测定蒸气的摩尔体积B .与银氨溶液反响,剖析产生银的量C.与钠反响,剖析产生氢气的量 D .用酸性高锰酸钾溶液滴定,剖析有关数据17.过氧化氢分子中含有过氧键(-O-O-) 。
静安区2015学年高三年级第一学期期末教学质量检测理科数学试卷(试卷满分150分 考试时间120分钟) 2016.1一、填空题(本大题满分56分)本大题共有14题,考生应在答题纸相应编号的空格内直接填写结果, 每个空格填对得4分,否则一律得零分.1. 已知抛物线2y ax =的准线方程是14y =-,则a = . 2. 在等差数列{}n a (n N *∈ )中 ,已知公差2d =,20072007a =,则2016a = .3. 设cos x α=,且3[,]44ππα∈-,则arcsin x 的取值范围是 .4. 已知球的半径为24cm ,一个圆锥的高等于这个球的直径,而且球的表面积等于圆锥的表面积, 则这个圆锥的体积是 cm 3.5. 方程3(1)(1)log (98)log (1)3x x x x x +--+⋅+=的解为 .6. 直线20x y --=关于直线220x y -+=对称的直线方程是 .7. 已知复数z 满足28z z i +=+,其中i 为虚数单位,则z = .8. 8()x y z ++的展开式中项34x yz 的系数等于 .(用数值作答)9. 在产品检验时,常采用抽样检查的方法.现在从100件产品(已知其中有3件不合格品)中任意抽出 4件检查,恰好有2件是不合格品的抽法有 种. (用数值作答)10. 经过直线230x y -+=与圆222410x y x y ++-+=的两个交点,且面积最小的圆的方程是 . 11. 在平面直角坐标系xOy 中,坐标原点(0,0)O 、点(1,2)P ,将向量绕点O 按逆时针方向旋转56π后得向量,则点Q 的横坐标是 .12.在△ABC 中,∠A 、∠B 、∠C 所对的边分别为a 、b 、c ,若△ABC 的面积2222S a b c bc =--+,则sin A = . (用数值作答)13. 已知各项皆为正数的等比数列{}n a (n N *∈ ),满足7652a a a =+,若存在两项m a 、n a 使得14a =,则14m n+的最小值为 . 14. 在平面直角坐标系xOy 中,将直线l 沿x 轴正方向平移3个单位, 沿y 轴正方向平移5个单位,得到直线1l .再将直线1l 沿x 轴正方向平移1个单位, 沿y 轴负方向平移2个单位,又与直线l 重合.若直线l 与直线1l 关于点(2,3)对称,则直线l 的方程是 .二、选择题(本大题满分20分)本大题共有4题,每题有且只有一个正确答案,考生应在答题纸的相应编号上,填上正确的答案,选对得5分,否则一律得零分. 15. 组合数(1,,)rn C n r n r N >≥∈恒等于( ) A.1111r n r C n --++ B. 1111r n n C r --++ C. 11r n r C n -- D. 11r n n C r --16. 函数213(10)xy x -=-≤<的反函数是 ( )A.1)3y x =≥B.11)3y x =<≤C.11)3y x =<≤ D.1)3y x =≥17. 已知数列{}n a的通项公式为,4(*),4n n n a n N n n -≤⎧=∈>,则lim n n a →+∞=( ) A .2- B .0 C .2 D .不存在18. 下列四个命题中,真命题是 ( )A .和两条异面直线都相交的两条直线是异面直线;B .和两条异面直线都垂直的直线是异面直线的公垂线;C .和两条异面直线都相交于不同点的两条直线是异面直线;D .若a 、b 是异面直线, b 、c 是异面直线,则a 、c 是异面直线.三、解答题(本大题满分74分)本大题共5题,解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤.19.(本题满分12分)本题共有2个小题,第1小题满分6分,第2小题满分6分. 如图,在棱长为1的正方体1111D C B A ABCD -中,E 为AB 的中点. 求: (1)异面直线BD 1与CE 所成角的余弦值; (2)点A 到平面1A EC 的距离.20.(本题满分14分)本题共有2个小题,第1小题满分10分,第2小题满分4分.李克强总理在很多重大场合都提出“大众创业,万众创新”. 某创客,白手起家,2015年一月初向银行贷款十万元做创业资金,每月获得的利润是该月初投入资金的20%.每月月底需要交纳房租和所得税共为该月全部金额(包括本金和利润)的10%,每月的生活费等开支为3000元,余款全部投入创业再经营.如此每月循环继续.(1)问到2015年年底(按照12个月计算),该创客有余款多少元?(结果保留至整数元) (2)如果银行贷款的年利率为5%,问该创客一年(12个月)能否还清银行贷款?21.(本题满分14分)本题共有2个小题,第1小题满分6分,第2小题满分8分.设P 1和P 2是双曲线22221x y a b-=上的两点,线段P 1P 2的中点为M ,直线P 1P 2不经过坐标原点O .(1)若直线P 1P 2和直线OM 的斜率都存在且分别为k 1和k 2,求证:k 1k 2=22ab ;(2)若双曲线的焦点分别为1(F 、2F ,点P 1的坐标为(2,1) ,直线OM 的斜率为32,求由四点P 1、 F 1、P 2、F 2所围成四边形P 1 F 1P 2F 2的面积.22.(本题满分16分)本题共有2个小题,第1小题满分6分,第2小题满分10分.在平面直角坐标系xOy 中,点A 在y 轴正半轴上,点n P 在x 轴上,其横坐标为n x ,且{}n x 是首项为1、公比为2的等比数列,记1n n nP AP θ+∠=,n N *∈. (1)若31arctan3θ=,求点A 的坐标; (2)若点A的坐标为(0,求n θ的最大值及相应n 的值.23.(本小题满分18分)本题共有3个小题,第1小题满分4分,第2小题满分6分,第3小题满分8分. 已知定义在实数集R 上的偶函数()x f 和奇函数()x g 满足()()12x f x g x ++=.(1)求()f x 与()g x 的解析式;(2)若定义在实数集R 上的以2为最小正周期的周期函数()x ϕ,当11x -≤≤时,()()x f x ϕ=,试求()x ϕ在闭区间[2015,2016]上的表达式,并证明()x ϕ在闭区间[2015,2016]上单调递减;(3)设22()21h x x mx m m =++-+(其中m 为常数),若2(())1h g x m m ≥--对于[1,2]x ∈恒成立,求m 的取值范围.理科数学试卷参考答案及评分标准 2016.01说明1.本解答列出试题一种或几种解法,如果考生的解法与所列解法不同,可参照解答中评分标准的精神进行评分.2.评阅试卷,应坚持每题评阅到底,不要因为考生的解答中出现错误而中断对该题的评阅.当考生的解答在某一步出现错误,影响了后续部分,但该步以后的解答未改变这一题的内容和难度时,可视影响程度决定后面部分的给分,但是原则上不应超出后面部分应给分数之半,如果有较严重的概念性错误,就不给分.3.第19题至第23题中右端所注的分数,表示考生正确做到这一步应得的该题分数. 4.给分或扣分均以1分为单位.一.填空题(本大题满分56分)本大题共有14题,考生应在答题纸相应编号的空格内直接填写结果,每个空格填对得4分,否则一律得零分.1. a =1 2.2025 3. [,]42ππ-. 4. 12288π 5. 3x = 6.7220x y -+=7. 17z = 8. 280 9. 13968 10.225561810x y x y ++--= 11.12-- 12.817 13. 14143()(5)662m n m n m nn m ++=++≥ 14. :6810l x y -+=.二、选择题(本大题满分20分)本大题共有4题,每题有且只有一个正确答案,考生应在答题纸的相应编号上,填上正确的答案,选对得5分,否则一律得零分. 15.D 16.B 17.A 18.C三、解答题(本大题满分74分)本大题共5题,解答下列各题必须在答题纸相应编号的规定区域内写出必要的步骤 .19. 解(1)延长DC 至G ,使CG= DC,连结BG 、G D 1,∴四边形EBGC 是平行四边形.∴BG ∥EC. ∴在即异面直线 与CE所成角的余弦值是 (2)过 作交CE 的延长线于H.连结AH. 底面ABCD 如图所示.21//CG EB 11.D BG BD CE ∠就是异面直线与所成的角,中311=∆B D BG D 151513532cos 213231251212211221=-+⋅-+=∠∴=+==BG B D G D BG B D BG D G D BG )(,1BD 151A CE H A ⊥1由于∠AHE=∠B=90°,∠AEH=∠CEB ,则△AHE ∽△CBE设点A 到平面1A EC 的距离为d ,则由三棱锥体积公式可得:111133ACE A CE AA S d S ∆∆⋅=⋅,即111111132232d ⋅⋅⋅⋅=⋅。
静安区2016届高三语文第一次模拟测试·语文卷参考答案及评分标准 2016.1 1.(2分)B3. (2分)C4. (2分)D5. (4分)从舆情来源看,官方舆论(新闻)所占比例不到一成,民间舆论(名人微博和民间论坛)占了九成;(1分,见右图)民间舆论会在很大程度上左右(撬动)社会舆论;(1分,见左图)因此,既形象直观地说明人们为何敬畏和尊重民意的原因,同时也说明了对民意操控的民间舆论要引起足够的重视。
(2分)[指出图的内容,2分;联系原文,揭示图的内涵,2分] 6.(4分)民意是整个社会普遍意志和意识的集中展现,应该重视、敬畏;(1分)作为民意的初期或说是表层阶段的公共舆论要及时关注和引导。
(1分)作者讨论民意和舆论,旨在强调执政者、民意表达者、媒体从业者都要了解和把握民心向背及民愿所求;(1分)只有民意表达顺畅,才有可能构建高效率的政府和和谐的社会。
(1分)[分析(概括/总结)2分,评价2分]7.(3分)胜利者(犹太人)年轻漂亮..形成对照(1....(1分),与后文他的无节制的暴行分);并与下文纳粹囚犯外形....(写出一点即可)形成对照;(1分)..邋遢..神情呆滞8.(2分)C9.(3分)这个纳粹军官被俘之后不再是战争恶魔,而只是一个囚犯(1分);曾经的暴行罪不可恕,但继续惩罚囚犯没有意义(1分);所以要给他心理治疗,让他认识到自己的罪恶,恢复正常人的人性和心理(1分)。
10. (4分)第一句强调报复,是因为伤害纳粹囚犯的身体,与纳粹犯下的滔天罪行相比根本算不了什么。
(1分)第二句强调不应报复,是因为人在无助时才渴望以虚拟的报复抵抗现实的无力;等到真的战胜了对方,没有必要对囚犯施暴。
(1分)看似矛盾,实则希望胜利者保持理性,以更成熟的方式来对待战犯,消除战争带来的灾难和痛苦。
(2分)11.(4分)评分标准:概述作者观点,2分;结合原文和自己的知识视野,准确、深刻地表明自己看法,2分。
静安区(闸北、青浦)2016年初三英语一模试卷(满分150分,完卷时间100分钟)2016.1考生注意:本卷有7大题,共94小题。
试题均采用连续编号,所有答案务必按照规定在答题卡上完成,做在试卷上不给分。
Part 1 Listening (第一部分听力)I. Listening comprehension (听力理解) (共30 分)A. Listen and choose the right picture (根据你听到的内容,选出相应的图片) (6 分)1. ______2. ______3. ______4. ______5. ______6. ______B. Listen to the dialogue and choose the best answer to the question you hear(根据你听到的对话和问题,选出最恰当的答案):(8分)7. A) Coins. B) Clocks. C) Signs. D) Stones.8. A) Once a day. B) Twice a week. C) Once a month. D) Twice a month.9. A) Cloudy. B) Rainy. C) Sunny. D) Windy.10. A) 10 yuan. B) 90 yuan. C) 100 yuan. D) 110 yuan.11. A) In the cinema. B) In the library. C) At the supermarket. D) At the post office.12. A) To speak to Mary. B) To leave a message.C) To see the manager. D) To call back.13. A) She’ll invite the man to dinner later. B) She has her own plans for dinner tonight.C) She doesn’t like to have dinner wi th him. D) She’ll have dinner with the man tonight.14. A) Tom failed to see the film that day. B) Tom bought two film tickets in all.C) Tom found the film boring. D) Tom missed part of the film.C. Listen to the passage and tell whether the following statements are true or false (判断下列句子是否符合你听到的内容, 符合的用“T”表示,不符合的用“F”表示) (7分)15. Wang is called “the youngest hacker (黑客) in China” after giving a lecture in September.16. Wang began to play computer games because he hated writing computer programs.17. When Wang was a junior school student, he learned to write computer programs all byhimself.18. Wang hacked an online shopping site, changed the price and bought a lot of things.19. Wang felt very pleased while he was doing something online against the laws.20. Wang attended the meeting in order to warn people of the Internet risks (危险).D. Listen to the passage and complete the following sentences(听短文,完成下列内容。
2016年上海静安区高三一模英语试卷-学生用卷一、词汇填空1、【来源】 2016年上海静安区高三一模第1~8题Exploration of the PolesThe North Pole and South Pole are at the top and bottom of theEarth,1you won't find an actual pole to mark the place. The poles are the northernmost and southernmost points on the planet. The poles are the most unfriendly environments on Earth.In the early 1900s, explorers competed to become the first2( reach )the South Pole. From 1901 to 1904, British naval officer Robert Scott made the first attempt. Scottgot3( far) south than anyone had been before, but he failed to reach the pole.In 1909, Ernest Shackleton of Britain led an expedition across Antarctica on sleds pulled by dogs. They were only about 100 miles (about 160 kilometers) from the SouthPole4 a shortage of food forced them to turn back.Scott finally reached the South Pole in January 1912.But5(disappoint) Scott found that Roald Amundsen had beaten him by one month. Amundsen's expedition arrived at the pole in December 1911. Amundsenwas6experienced Arctic explorer, and he had made careful preparations, Scott and his companions died of injury, cold, and hunger on their return from the pole.In 1914, Shackleton7( plan ) another expedition to the South Pole. But his ship was crushed by ice, and he had to cross 800 miles (l300 kilometers) of freezing sea in a tiny boat to survive. Shackleton then returned to save his stranded men. It was one of the greatest rescue feats in history.In 1929, Arctic explorer Richard Byrd became the first person who flew over the South Pole. Byrd later pioneered the idea of8( set) up permanent stations for scientific research in Antarctica. A station called the Amundsen—Scott Base has stood at the South Pole since 1977.2、【来源】 2016年上海静安区高三一模第9~16题Teaching in front of a cameraWageningen University is keen on developing forms of education that reach people all over the world. The basics of the course topics are covered in short films and three-minute to seven-minutepresentations1( use ) techniques such as animation and voiceover(画外音).The online Master's programmes are quite different from the large-scale MOOCs (在线课程), explains Busstra. In the Master's courses,the short "knowledge dips" (短片) dealing with the essential topics2( link ) to an assignment directly to help the students actively absorb the knowledge themselves. Teachers can also use them to test3the material has come across well. Busstra says:"The teacher has to think up new ways of working-getting students to make a film clip, for instance,4they present a research setup they have thought up themselves, or to respond to someone else's idea, or to work on a document in groups."The students also get the chance to post a question while they are watching an online film-equivalent of putting your hand up during a lecture. Fellow students and teachers can then answer the question online."There are a lot of misunderstandings about online education," says Busstra, "one of thembeing5there is only one waycommunication.6people are gradually gaining confidence in it. It will stay typically Wageningen: small-scale and based on interaction and group work."The investment7online learning is paying off in the regular education programme too, according to Busstra. Students in Wageningen can pick up the basics at home through the knowledge clips. During lectures, teachers8then provide more in-depth analysis, talk about their own work and supervise students more personally." Increasingly, on-campus and online education will no longer be two separate worlds,” expects Busstra.二、选词填空3、【来源】 2016年上海静安区高三一模第17~26题2018~2019学年上海黄浦区上海市大同中学高二下学期期末第31~40题10分(每题1分) We are familiar with pop culture, but what is peep culture? In pop culture, we turn on the TV and watch our favourite celebrities1us with their performances. In peep culture, we turn on the computer, we move through people's lives on reality TV, blogs, Facebook and YouTube. Instead of getting our entertainment from scripted performances, we get our entertainment from peeping into other people's lives. It can be friends and family. But it's just likely to be people we have never met from around the world.Suddenly, we spend all of our time2other people. And we also invite them to watch us!People3themselves to get attention and to feel like they are part of a community. In peep culture, ordinary people are turned into celebrities.This has never happened before, turning the spotlight on4regular people. There aren't secrets anymore. The notion of private life has changed.As society has become5fast-paced, most of us are really unaware of these changes in our lives. We are moving into a time when our6personality is going to be more important than our actual physical7. What we have online is going to be more important than what we do offline. We are now socially judged by our virtual profiles.In the age of "peep culture, " a tell-all, know-all digital phenomenonis8changing notions of privacy, individuality, security, and even humanity. Susan Boyle became a(n)9celebrity because of peep culture. The entire world was staring at her after her10from a resident of a small Scottish town to a global celebrity. We like the story because she's like a movie, but she's real.A. chasingB. dramaticallyC. entertainD. extremelyE. overnightF. presenceG. revealH. trackingI. transformationJ. virtualK. random三、完形填空4、【来源】 2016年上海静安区高三一模第27~41题New research offers fresh insight on when to launch a product or service, and shows that being first to market isn't always a competitive advantage.In 2004, David Cohen had an idea for a social network for mobile phones that would connect users in the real world. His company, called iContact,launched a beta version (测试版), and seemed ready to tap the much publicized mobile software market. Cohen, then 36, had already founded a successful software company.1, after 18 months, he was unable to get phone carriers to distribute his software, and he closed the company.Bets on mobile applications didn't begin to2until Apple's iPhone app store opened the market in 2008.Conventional3says being first to market creates a competitive advantage. Reality is more complicated. Market opportunities are4opening and closing, and a hit idea at one point could be a failure a year earlier or a yawning "me too" business a year later. It's tough—likely5—to identity the best moment to enter a market, but common sense dictates new entrepreneurs (创业人) can improve their odds (机会)ifthey6how much they bear to gain or lose by waiting.New academic research suggests one way entrepreneurs can7whether they should enter a market first or wait on the sidelines. The decision depends on how hostile (不利的)the learning environment is;8, how much entrepreneurs can learn by observing other players before they9, compared to what they learn from participating after they enter, according to Moren Levesque, an entrepreneurship researcher at the University of Waterloo. Levesque, along with professors Maria Minniti of Southern Methodist University and Dean Shepherd of Indiana University, used a mathematical10to weigh the risks and benefits of entering the market early. Their research is among the first to explore "how different learning environments may influence the entry behavior of entrepreneurs."The key to the academics' findings on timing is this: In a hostile learning environment, entrepreneurs gain relatively11benefit by watching others. For example, if the relevant knowledge is12intellectual property, studying the market before entering wouldn't yield much advantage. In these situations,the trade-off (权衡利弊)13entering early. But in less hostile learning environments, where entrepreneurs gain valuable information14to increase their success just by watching other companies, companies benefit from waiting and learning lessons from earlier players. I Contact successors, for example, may have learned from watching the company's trouble in getting mobile networks to distribute their software, a barrier that was15by the iPhone's app store.A. OtherwiseB. MoreoverC. HoweverD. ThereforeA. pay inB. pay backC. pay forD. pay offA. customB. wisdomC. habitD. experienceA. completelyB. consusinglyC. constantlyD. increasinglyA. impossibleB. possibleC. potentialD. manageableA. imagineB. interpretC. weighD. measureA. valueB. evaluateC. ensureD. convinceA. after allB. as a resultC. in other wordsD. in additionA. launchB. campaignC. strikeD. functionA. versionB. patternC. exampleD. modelA. fewB. manyC. littleD. muchA. providedB. protectedC. sharedD. improvedA. favorsB. dislikesC. opposesD. concernsA. unlikelyB. likelyC. unbelievableD. questionableA. loweredB. createdC. resolvedD. removed四、阅读理解5、【来源】 2016年上海静安区高三一模第42~45题Some plants get so hungry that they eat flies, spiders, and even small frogs. What's more amazing is that these plants occur naturally (in special environments) in every state. In fact, they're found on every continent except Antarctica.You've probably seen a Venus' flytrap. It's often sold in museum gift stores, department stores, and even supermarkets. A small plant, it grows 6 to 8 inches tall in a container. At the end of its stalks (莲)are specially modified leaves that act like traps. Inside each trap is a lining of tiny trigger (触发)hairs. When an insect lands on them, the trap suddenly shuts. Over the course of a week or so, the plant feeds on its catch.The Venus' flytrap is just one of more than 500 species of meat—eating plants, says Barry Meyers—Rice, the editor of the International Carnivorous (食肉的)Plant Society's Newsletter. Note: Despite any science—fiction stories you might have read, no meat—eating plant does any danger to humans.Dr. Meyers—Rice says a plant is meat—eating, only if it does all four of the following: attract, kill, digest, and absorb" some form of insects, including flies, butterflies, and moths. Meat—eating plants look and act like other green plants—well, most of the time.All green plants make sugar through a process called photosynthesis (光合作用). Plants use the sugar to make food. What makes "meat—eating" plants different is their bug—catching leaves. They need insects for one reason: nitrogen (氮). Nitrogen is a nutrient that they can't obtain any other way. While almost all green plants on our planet get nitrogen from the soil, "meat—eating" plants can't. They live in places where nutrients are hard or almost impossible to get from the soil because of its acidity. So they've come to rely on getting nitrogen from insects and small animals. In fact, nutrient—rich soil is poisonous to "meat—eating" plants. Never fertilize them! But don't worry, either, if they never seem to catch any insects. They can survive, but they'll grow very slowly.(1) According to the passage, carnivorous plants.A. only grow in wild fieldB. are rare to seeC. are as common as fliesD. cannot grow on Antarctica(2) Venus' flytrap preys on insects by.A. its numerous long and thin stalksB. a container where it growsC. its insect-catching leavesD. the lining of tiny trigger hairs(3) We can conclude from the third paragraph that.A. carnivorous plants are dangerousB. carnivorous plants are fictionalC. carnivorous plants occasionally eat booksD. carnivorous plants are harmless to humans(4) In the eyes of the author, which of the following statements is TRUE?A. Carnivorous plants cannot grow in acid soil.B. Carnivorous plants can grow in nutrient-poor soil.C. Carnivorous plants will die if they cannot catch any insects.D. Carnivorous plants can get nitrogen from nutrient-rich soil.6、【来源】 2016年上海静安区高三一模第46~48题"Asia's Challenge 2020" Essay Prize DESCRIPTIONWhat is the most important challenge facing Asia over the next decade? Why? What should be done about it? The best answer in 3, 000 words or less will win a prize of $2, 500. Two runners—up will be awarded prizes of $1, 000 each. These three prize winners will be invited to Singapore for an expenses—paid awards ceremony. The winning articles will be posted on Time. com.PURPOSEThe main purpose of the essay prize is to generate fresh ideas for tackling key challenges to Asia's continued competitiveness and development, as well as encourage young professionals to make an impact on public policy and business in Asia.SELECTION CRITERIAThe essay will be judged according to creativity, innovation, rigor of research and writing, as well as achievability of idea. It can be focused on one or more areas relevant to Asia, such as macro—economics, business, international relations, trade and investment, education, healthcare, urban development, science and technology, and energy and the environment. The essay must be written in English. It should not have been previously published in English in a publication with broad international circulation. CANDIDATE REQUIREMENTSThe candidate authoring the essay must be under 32 years of age as of December 31, 2010. The candidate must be an Asian national.SUBMISSION REQUIREMENTS**********************************************************************.combyAugust31, 2010. Prize winners will be announced in September 2010.The submission should contain the candidate's full name, nationality, and month and year of birth. The essay should include a title and word count.(1) What is the main purpose of the essay prize?A. To select young professionals of both ability and imagination.B. To predict the prospects of Asia in the next decade.C. To issue the challenges facing Asia.D. To inspire brilliant ideas for solving problems in Asia.(2) Which of the following statements is NOT true according to the passage?A. The winners of the essay prize can travel to Singapore for free.B. Articles published in local newspapers will not be accepted.C. Young people from Russia or Australia are excluded from the essay prize.D. The candidate's article can deal with several aspects of developments in Asia.(3) The candidate's article should be sent.A. by air mailB. by e-mailC. by surface mailD. by express mail7、【来源】 2016年上海静安区高三一模第49~53题According to Nielsen, the average number of mobile phone calls we make is dropping every year, after hitting a peak in 2007. And our calls are getting shorter: In 2005 they averaged three minutes in length; now they're almost half that.We are moving, in other words, toward a fascinating cultural transition: the death of the telephone call. This shift is particularly plain among the young. Some college students I know go days without talking into their smartphones at all.This generation doesn't make phone calls, because everyone is in constant, lightweight contact in so many other ways: texting, chatting, and social-network messaging. And we don't just have more options than we used to. We have better ones: These new forms of communication have exposed the fact that the voice call is badly designed. It deserves to die. Consider: If I suddenly decide I want to dial you up, I have no way of knowing whether you're busy, and you have no idea why I'm calling.We have to open Schrodinger's box every time, having a conversation to figure out whether it's OK to have a conversation. Plus, voice calls are emotionally high-bandwidth, which is why it's so weirdly exhausting to be interrupted by one. (We apparently find voicemail even more torturous: Studies show that more than a fifth of all voice messages are never listened to.)The telephone, in other words, doesn't provide any information about status, so we are constantly interrupting one another. The other tools at our disposal are more polite. Instant messaging lets us detectwhether our friends are busy without our annoying them, and texting lets us ping one another but not at the same time. (Plus, we can spend more time thinking about what we want to say.) Despite the hue and cry about becoming an "always on" society, we're actually moving away from the demand that everyone should be available immediately.We'll still make fewer phone calls, as most of our former phone time will migrate to other media. But the calls we do make will be longer, reserved for the sort of deep discussion that the medium does best.As video chatting becomes more common, enabled by the new iPhone and other devices, we might see the growth of persistent telepresence, leaving video-chat open all day so we can speak to a spouse or colleague spontaneously. Or, to put it another way, we'll call less but talk more.(1) The writer of the text thinks that what is happening with mobile phone callsis.A. an unexpected occurrenceB. a strange but very predictable factC. an interesting social phenomenonD. negative for social interaction(2) In paragraph 3, the writer's attitude towards phone voice calls is.A. doubtfulB. concernedC. positiveD. negative(3) The phrase "hue and cry" in paragraph 5 means.A. appealB. protestC. claimD. argument(4) What does the writer think will happen to voice calls in the future?A. They will only be used in emergencies.B. They will continue to get more expensive.C. They will only be used between family members.D. They will be used mainly for intimate and detailed discussions.(5) What is the best title of the passage?A. Video ChattingB. Talking into SmartphonesC. The Death of the Phone CallD. Mobile Phone Calls五、任务型阅读8、【来源】 2016年上海静安区高三一模第54~57题Next week, as millions of families gather for their Thanksgiving feasts, many other Americans will go without. According to the United States Department of Agriculture, more than 12 million households lack enough food for everyone in their family at some time during the year—including holidays.Hunger is surprisingly widespread in our country—one of the world's wealthiest—yet the government estimates that we waste almost 100 billion pounds of food each year, more than one—quarter of our total supply.Reducing this improper distribution of resources is a goal of America's Second Harvest, the nation's largest domestic hunger—relief organization. Last year, it distributed nearly 2 billion pounds of food to more than 23 million people in need.America's Second Harvest is a network of 214 inter—connected food banks and other organizations that gather food from growers, processors, grocery stores and restaurants. In turn, the network distributes food to some 50,000 soup kitchens,homeless shelters and old people's centers in every county of every state.A great deal of work is involved in distributing tons of food from thousands of donors to thousands of small, nonprofit organizations. Until a few years ago, America's Second Harvest lacked any effective way to manage their inventory (存货). Without accurate and timely information, soup kitchens were sometimes empty while food was left to spoil in loading places.In 2000, America's Second Harvest began to use a new inventory and financial—management system—Ceres. It is software designed specifically for hunger—relief operations. It is used by more than 100 America's Second Harvest organizations to track food from donation to distribution.Ceres has helped reduce the spoiling of food and improve distribution. An evaluation found that the software streamlined(提高效率) food banks' operations by 23 percent in the first year alone.With more accurate and timely reports, Ceres saves time, frees staff members to focus on finding new donors, and promises more efficient use of donations.Hunger in America remains a troubling social problem. Technology alone cannot solve it. But in the hands of organizations such as America's Second Harvest, it is a powerful tool that is helping to make a difference—and helping more Americans to join in the feast.(Note: Answer the questions or complete the statements in NO MORE THAN TEN WORDS.)(1) What is the total supply of food in America every year according to the passage?(2) By "this improper distribution of resources"in Paragraph 3, the writer means that many Americans food while others food.(3) What problem was America's Second Harvest faced with in distributing food before Ceres was created?(4) Thankstoprovided by Ceres, more staff are freed to be committed to finding new donors and America's Second Harvest is able to give out food more efficiently.六、翻译9、【来源】 2016年上海静安区高三一模第58~62题翻译(1) 有可能防止金融危机将来再次发生吗?(possible)(2) 除非采取紧急措施,否则我们的计划将泡汤。
上海市静安区2016届高三一模数学试卷
2016.01
一. 填空题(本大题共14题,每题4分,共56分) 1.(文)抛物线216y x =的准线方程是 ;
(理)已知抛物线2y ax =的准线方程是1
4
y =-
,则a = ; 2. 在等差数列{}n a *()n N ∈中,已知公差2d =,20072007a =,则2016a = ;
3.(文)已知圆锥的底面半径为4cm ,高为,则这个圆锥的表面积是 3
cm ; (理)设cos x α=,且3[,]44
ππ
α∈-
,则arcsin x 的取值范围是 ;
4.(文)方程lg lg(2)lg3lg(2)x x x +-=++的解为 ;
(理)已知球的半径为24cm ,一个圆锥的高等于这个球的直径,而且球的表面积等于圆锥的表面积,则这个圆锥的体积是 3
cm ;
5.(文)已知θ为第二象限角,且3
cos 5
θ=-,则tan()4
π
θ+
= ;
(理)方程3(1)(1)log (98)log (1)3x x x x x +--+⋅+=的解为 ; 6.(文)坐标原点(0,0)关于直线220x y -+=对称的点的坐标是 ; (理)直线20x y --=关于直线220x y -+=对称的直线方程是 ; 7. 已知复数z 满足||28z z i +=+,其中i 为虚数单位,则||z = ; 8. 8()x y z ++的展开式中项34x yz 的系数等于 ;(用数值作答)
9. 在产品检验时,常采用抽样检查的方法,现在从100件产品(已知其中有3件不合格品)中任意抽出4件检查,恰好有2件是不合格品的抽法有 种;(用数值作答) 10. 经过直线230x y -+=与圆2
2
2410x y x y ++-+=的两个交点,且面积最小的圆的方程是 ;
11.(文)已知数列{}n a *()n N ∈中,12a =,23a =,当3n ≥时,1232n n n a a a --=-,则n a = ;
(理)在平面直角坐标系xOy 中,坐标原点(0,0)O 、点(1,2)P ,将向量OP
绕点O 按逆
时针方向旋转56
π
后得向量OQ ,则点Q 的横坐标是 ;
12.(文)同11(理)
(理)在△ABC 中,A ∠、B ∠、C ∠所对边分别为a 、b 、c ,若△ABC 面积222()2S a b c bc =-++,则sin A = ;(用数值作答)
13.(文)在△ABC 中,A ∠、B ∠、C ∠所对边分别为a 、b 、c ,若a 、b 、c 成等差数列,4
sin 5
B =
,且△ABC 的面积为32,则b = ;(用数值作答)
(理)已知各项皆为正数的等比数列{}n a *()n N ∈,满足7652a a a =+,若存在两项m a 、
n a
14a =,则
14
m n
+的最小值为 ; 14.(文)在平面直角坐标系xOy 中,将直线l 沿x 轴正方向平移3个单位,沿y 轴正方向
平移5个单位,得到直线1l ;再将直线1l 沿x 轴正方向平移1个单位,沿y 轴负方向平移2个单位,又与直线l 重合,则直线l 与直线1l 的距离是 ;
(理)在平面直角坐标系xOy 中,将直线l 沿x 轴正方向平移3个单位,沿y 轴正方向平移5个单位,得到直线1l ;再将直线1l 沿x 轴正方向平移1个单位,沿y 轴负方向平移2个单位,又与直线l 重合,若直线l 与直线1l 关于点(2,3)对称,则直线l 的方程是 ;
二. 选择题(本大题共4题,每题5分,共20分)
15.(文)设全集{1,2,3,4,5,6}U =,{4,5}A =,{3,4}B =,则()U C A B = ( ) A. {1,2,6} B. {1,2,3,6} C. {3,4,5} D. {1,2,4,6}
(理)组合数r
n
C (1,,,)n r n r N >≥∈恒等于( ) A.
1111r n r C n --++ B. 1111r n n C r --++ C. 11
r n r C n -- D. 1
1r n n C r
-- 16.(文)同15(理) (理)函数2
1
3x
y -=(10)x -≤<的反函数是( )
A. y =1
()3
x ≥
B. y =1(1)3
x <≤
C. y =1(1)3x <≤
D. y =1()3
x ≥ 17.(文)同16(理)
(理)已知数列{}n a
的通项公式为,4,4
n n n a n n -≤⎧⎪=>*
()n N ∈,
则l i m n n a →∞
=( ) A. 2- B. 0 C. 2 D. 不存在 18. 下列四个命题中,真命题是( )
A. 和两条异面直线都相交的两条直线是异面直线
B. 和两条异面直线都垂直的直线是异面直线的公垂线
C. 和两条异面直线都相交于不同点的两条直线是异面直线
D. 若a 、b 是异面直线,b 、c 是异面直线,则a 、c 是异面直线
三. 解答题(本大题共5题,共12+14+14+16+18=74分)
19. 如图,在棱长为1的正方体1111ABCD A BC D -中,
E 为AB 的中点; (1)求异面直线
1BD 与CE 所成角的余弦值; (2)求点A 到平面1A EC 的距离;
20. 李克强总理在很多重大场合都提出“大众创业,万众创新”;某创客,白手起家,2015年一月初向银行贷款十万元做创业资金,每月获得的利润是该月初投入资金的20%,每月月底需要交纳房租和所得税共为该月全部金额(包括本金和利润)的10%,每月的生活费等开支为3000元,余款全部投入创业再经营,如此每月循环继续;
(1)问到2015年年底(按照12个月计算),该创客有余款多少元?(结果保留整数元) (2)如果银行贷款的年利率为5%,问该创客一年(12个月)能否还清银行贷款?;
21. 设1P 和2P 是双曲线22
221x y a b
-=上的两点,线段12PP 的中点为M ,直线12PP 不经过坐
标原点O ;
(1)若直线12PP 和直线
OM 的斜率都存在且分别为1k 和2k ,求证:2
122b k k a
=;
(2)若双曲线的焦点分别为1(F 、2F ,点1P 的坐标为(2,1),直线OM 的斜率为1.5,求由四点1P 、1F 、2P 、2F 所围成四边形1122PF P F 的面积;
22. 在平面直角坐标系xOy 中,点A 在y 轴正半轴上,点n P 在x 轴上,其横坐标为n x ,且
{}n x 是首项为1、公比为2的等比数列,记1n n n P AP θ+∠=,*n N ∈;
(1)若31
arctan
3
θ=,求点A 的坐标;
(2)若点A 的坐标为,求n θ的最大值及相应n 的值;
23. 已知定义在实数集R 上的偶函数()f x 和奇函数()g x 满足1()()2x f x g x ++=; (1)求()f x 与()g x 的解析式;
(2)若定义在实数集R 上的以2为最小正周期的周期函数()x ϕ,当11x -≤≤时,
()()x f x ϕ=,试求()x ϕ在闭区间[2015,2016]上的表达式,并证明()x ϕ在闭区间
[2015,2016]上单调递减;
(3)设22()21h x x mx m m =++-+(其中m 为实常数),若2(())1h g x m m ≥--对于
[1,2]x ∈恒成立,求m 的取值范围;。