复旦附中第五周周考卷

复旦附中高三周练试卷李倩倩老师错题整理Section BDirection:Complete the following passage by using the words in the box. Each word can be used once. Note that there is one word more than you need.On a(an)(31)_______ bullet train,a virus suddenly spreads throughout like wildfire. Will you lend a helping hand to those in need, or focus all your energy on self-preservation?Train to Busan, a South Korean zombie film which raises this question, has recently set Chinese social mediaaflutter.To fulfill his young daughter’s birthday wish, divorced hedge fund manager Seok-wu (Gong Yoo) takes the girl on a train from Seoul to Busan to visit hermother.Early in the journey, ascruffy-looking young woman staggers onto the train at the last second, herself(32)_______ infected by something.It doesn’t take a hardcore fan of the genre to predict what happens next–the dead-looking girl takes a bite out of a passing attendant, then all hell breaks(33)________. Both would-be saviors and cowardly egocentrics(以自我为中心）are among those who are able to fight their way to survive.However, unlike the traditional powerful and obliging heroes of Western zombie stories, Seok-wu, as the lead protagonist, never intends to save the day during the most part.Setting his character’s tone, the self-(34)________ man locks the door for his own safety when a pregnant woman fleeing from zombies tries to get in. He forbids his daughter to offer her seat to an elderly woman, telling her that only ones own well-being(35)_________in extreme conditions. He also uses his contacts to try(36)_________ a way out for him and his young daughter, not considering his hundreds of fellow passengers.Even when he(37)_________ up with a dauntless(无所畏惧的) bruiser and a high school baseball player to fight the zombie hoard, the viewer can guess that his only motivation is the survival of him and his daughter.Compared with the familiar gore-fests of TV series like The Walking Dead (2010-), Train to Busan actually provides a(38)________bloody setting, instead focusing on the complexities of human behavior, rather than the senseless shedding of limbs.The zombie genre has been done to death –no pun intended –but Train to Busan largely(39)________ its success to its vivid character portrayal.For example, the central character is a workaholic father who doesn’t pay enough attention to his daughter but ends up putting his life at stake for her. We also see a selfish, middle-aged man who later reveals that his only mission is to simply reunite with his mother. Love and relationships seem to be a central theme, with a young couple proving their loyalty to one another as well as two elderly sisters who serve to represent family(40)________.答案：31.BC 32.CD 33.D 34.A 35.AB 36.BD 37.ABC 38.C 39.AD 40.B 错题分析：31，packed在这里是个形容词，表示异常的，拥挤的。

第三单元一、用所给单词的适当形式填空。

1．Why are you so________to your students？You must learn to treat them________because teaching is a job that requires both skills and________.(patient)2．Every______in this novel has his own particular ________. (character)3．The________of the clinic said patients must take the medicine according to the________.(direct)4．He felt________at her good luck and he did all this out of________.(envy)5．Do you________his________？Do you think it is________？(believe) 6．His writing style is________and all his novels are full of________.(humour)7．Sandy’s________at the party was a hint that she would leave because whenever she________on such an occasion，she would________for some time.(appear)二、用括号中所给词语翻译下列句子，然后用五句话将这些句子连成一篇短文。

1．我十二岁的时候，非常偶然地读了马克·吐温写的一个令人难以置信的故事。

(by accident，unbelievable)2．正是这个故事让我对马克·吐温的作品感兴趣。

a bc 30° 2021年高二上学期第五次周考物理试题 含答案一、选择题二、（本大题共8小题，每小题6分，共48分．其中14-18题，在每小题给出的四个选项中，只有一个选项是正确的，19-21题有多个选项是正确的，全选对的得6分，选对但不全的得3分，选错或不答的得0分．把答案前的字母填在答题卡相应的表格中）14．在做“奥斯特实验”时，下列操作中现象最明显的是A ．沿电流方向放置磁针，使磁针在导线的延长线上B ．沿电流方向放置磁针，使磁针在导线的正下方C ．导线沿南北方向放置在磁针的正上方D ．导线沿东西方向放置在磁针的正上方15．如图所示电路中，已知电源电动势E=10V ，内电阻r=1Ω，R 0=4Ω，R 的最大 阻值为10Ω。

当改变滑动变阻器的触头位置时，R 上消耗的最大功率是 A ．5W B ．6W C ．7W D ．8W16．一平行板电容器C ，极板是水平放置的，它和三个可变电阻及电源联接成如图所示的电路．今有一带电油滴悬浮在两极板之间静止不动．要使油滴上升，可采用的办法是 A ．增大R 1 B ．增大R 2C ．错开电容器两平行板，使其正对面积适当减小D ．适当减小平行板电容器两极板的间距17．电子在电势差为U 1的加速电场中由静止开始运动，然后射入电势差为 U 2的两块平行极板间的偏转匀强电场中，在满足电子能射出平行极板区的条件下，下述四种情况中，一定能使电子的偏转角θ变大的是A ．U 1变大、U 2变大B ．U 1变小、U 2变大C ．U 1变大、U 2变小D ．U 1变小、U 2变小 18．匀强电场中有a 、b 、c 三点．在以它们为顶点的三角形中， ∠a ＝30°、∠c ＝90°,．电场方向与三角形所在平面平行．已知a 、b 和c 点的电势分别为V 、V 和2 V ．该三角形的外接圆上最低、最高电势分别为A ．V 、VB ．0 V 、4 VC ．V 、D ．0 V 、V19. 如图1-5-5所示，三条虚线表示某电场的三个等势面，其中φ1=10V ，φ2=20V ，φ3=30V 一个带电粒子只受电场力作用，按图1-5-5中实线轨迹从A 点运动到B 点，由此可知U 1U 2电图1-8-17A．粒子带负电B．粒子的速度变小C．粒子的加速度变大D．粒子的电势能变小20．如图所示,原来不带电的金属球壳内壁接地,将一带正电的小球放入其中,但不与球壳接触,则A．球壳内壁带正电B．球壳外壁带正电C．球壳外壁不带电D．若将接地线去掉再移出正电荷,壳外壁带负电21．如图所示电路中，由于某一电阻断路，致使电压表和电流表的示数均比该电阻未断路时要大，则这个断路的电阻可能是( )A．R1B．R2C．R3D．R4三、填空题（每空3分,共21分）22．在使用10分度游标卡尺和螺旋测微器测量某一工件的长度和厚度时，两仪器上的示数如图(a)、(b)所示．则测量仪器的读数分别为(a) cm、(b) mm.23．有一个小灯泡上标有“4.8V 2W”的字样，现在测定小灯泡在不同电压下的电功率，并作出小灯泡的电功率P与它两端电压的平方U2的关系曲线．有下列器材可供选用：A．电压表V1（0～3V，内阻3kΩ）B．电压表V2（0～15V，内阻15kΩ）C．电流表A（0～0.6A，内阻约1Ω）D．定值电阻R1＝3kΩE．定值电阻R2＝15kΩF．滑动变阻器R（10Ω，2A）G．学生电源（直流6V，内阻不计）H．开关、导线若干（1）为了使测量结果更加准确，实验中所用电压表应选用▲ ，定值电阻应选用▲（均用序号字母填写）；（2）为尽量减小实验误差，并要求从零开始多取几组数据，请在方框内画出满足实▲验要求的电路图；（3）根据实验做出P-U2图像，下面的四个图象中可能正确的是▲ ．24．多用电表欧姆挡“×100”测试三只晶体二极管，其结果依次如图9中的①、②、③所示．由图可知，图________中的二极管是好的，该二极管的正极是________端．四、非选择题25．（12分）如图所示为电动机提升重物的装置，电动机线圈电阻为r＝1 Ω，电动机两端电压为5 V，电路中的电流为1 A，物体A重20 N，不计摩擦力，求：(1) 电动机线圈电阻上消耗的热功率是多少？(2 )电动机的输入功率和输出功率各是多少？(3) 10 s内，可以把重物A匀速提升多高？(4) 这台电动机的机械效率是多少？26．（14分）如图9-4所示，一质量为m．电荷量为+q的小球从距地面为h处，以初速度v0水平抛出，在小球运动的区域里，加有与小球初速度方向相反的匀强电场，若小球落地时速度方向恰好竖直向下，小球飞行的水平距离为L.(1)小球落地时动能E K多大? (2)电场强度E多大？27．（15分）电路如图所示，电源电动势E＝28 V，内阻r＝2 Ω，电阻R1＝12 Ω，R2＝R4＝4 Ω，R3＝8 Ω，C为平行板电容器，其电容C＝3.0 pF，虚线到两极板距离相等，极板长l＝0.20 m，两极板的间距d＝1.0×10－2 m。

复旦附中高二数学第二学期周末练习（13）1．已知集合(,3)A =-∞，(2,)B =+∞，则A B = ．2．已知z ∈C 且满足15z =-i ，求z = ． 3．i 是虚数单位，则51-+ii的值为 ．4．已知l ，m 是平面α外的两条不同直线．给出下列三个论断：①l m ⊥；②m α∥；②l α⊥．以其中的两个论断作为条件，余下的一个论断作为结论，写出一个正确的命题： ．5．已知向量(1,0,2)a =，(2,1,0)b =，则a 与b 的夹角为 ． 6．已知二项式5(21)x +，则展开式中含2x 项的系数为 ．7．在二项式9)x 的展开式中，系数为有理数的项的个数是 ．8．过24y x =的焦点F 并垂直于x 轴的直线分别与24y x =交于A 、B ，A 在B 上方，M 为抛物线上一点，(2)OM OA OB λλ=+-，则λ= ．9．某三位数密码，每位数字可在0-9数字中选取，其中恰有两位数字相同的概率是 ． 10．甲、乙两队进行篮球决赛，采取七场四胜制（当一队赢得四场胜利时，该队获胜，决赛结束）．根据前期比赛成绩，甲队的主客场安排依次为“主主客客主客主”．设甲队主场取胜的概率为0.6，客场取胜的概率为0.5，且各场比赛结果相互独立，则甲队以4：1获胜的概率是 ．11．若圆柱的一个底面的圆周经过四棱锥四条侧棱的中点，另一个底面的圆心为四棱锥底面的中心，则该圆柱的体积为 ．12．已知一组数据6，7，8，8，9，10，则该组数据的方差是 ． 13．已知直线方程20x y c -+=的一个方向向量d 可以是（ ）A ．(2,1)-B ．(2,1)C ．(1,2)-D ．(1,2)14．设复数z 满足||1z -=i ，z 在复平面内对应的点为(,)x y ，则（ ）A ．22(1)1x y ++=B ．22(1)1x y -+=C ．22(1)1x y +-=D ．22(1)1x y ++=15．一个直角三角形的两条直角边长分别为1和2，将该三角形分别绕其两条直角边旋转得到的两个圆锥的体积的比值为（ ）A ．1B ．2C ．4D ．816．设三棱锥V ABC -的底面是正三角形，侧棱长均相等，P 是棱V A 上的点（不含端点）．记直线PB 与直线AC 所成角为α，直线PB 与平面ABC 所成角为β，二面角P AC B --的平面角为γ，则（ ）A ．βγ<，αγ<B ．βα<，βγ<C ．βα<，γα<D ．αβ<，γβ< 17．设2012(1)n n n x a a x a x a x +=++++，4n ≥，n *∈N ．已知23242a a a =．（1）求n 的值；（2）设(13)3n a b +=+，其中,a b *∈N ，求223a b -的值．18．如图，在长方体1111A BCD A B C D -中，M 为1BB 上一点．已知2BM =，4AD =，3CD =，15A A =．（1）求直线1A C 与平面ABCD 的夹角； （2）求点A 到平面1A M C 的距离．19．如图，直四棱柱1111A BCD A B C D -的底面是菱形，14A A =，2AB =， 60BAD ∠=︒，E ，M ，N 分别是BC ，1BB ，1A D 的中点．（1）证明：MN ∥平面1C DE ； （2）求二面角1A M A N --的正弦值．20．已知椭圆22184x y +=，1F 、2F 为左、右焦点，直线l 过2F 交椭圆于A 、B 两点．（1）若直线l 垂直于x 轴，求||A B ；（2）当190F A B ∠=︒时，A 在x 轴上方时，求A 、B 的坐标；（3）若直线1A F 交y 轴于M ，直线1BF 交y 轴于N ，是否存在直线l ，使得11F A B F M N S S =△△， 若存在，求出直线l 的方程，若不存在，请说明理由．21．若{}n a 是等差数列，公差(0,]d ∈π，数列{}n b 满足：sin()n n b a =，n *∈N ， 记{|,}n S x x b n *==∈N ． （1）设10a =，23d π=，求集合S ； （2）设12a π=，试求d 的值，使得集合S 恰有两个元素； （3）若集合S 恰有三个元素，且n T n b b +=，其中T 为不超过7的正整数，求T 的所有可能值．参考答案1．(2,3) 2．5+i3 4．若①③，则②；若②③，则① 5．2arccos56．40 7．5 8．3 9．27100 10．0.18 11．4π 12．5313．D 14．C 15．B 16．B【第9题解析】方法一（直接法）：概率为2121023310C C C P ⨯⨯=（分子依次表示密码中出现哪两个数字，哪一个数字出现两次以及该数字出现在哪两个位置）；方法二（排除法）：概率为1310103110C P P +=-（排除密码中三个数字都一样或都不一样的情况）．【第10题解析】即求甲队在第5场比赛取胜，且在前4场比赛中有且仅有1场失利（即1场主场失利或1场客场失利），∴所求概率为121222[0.6(10.6)0.50.60.5(10.5)]0.60.18C C ⨯⨯-⨯+⨯⨯⨯-⨯=．【第11题解析】由题意，圆柱的高为四棱锥高的一半，为1；底面圆的半径为四棱锥底面中心到底面顶点的长度的一半，为12；∴圆柱的体积为221124πV πr h π⎛⎫==⋅⋅= ⎪⎝⎭．17．（1）因为0122(1)n n nn n n n x C C x C x C x +=++++，4n ≥，所以22(1)2n n n a C -==，33(1)(2)6n n n n a C --==，44(1)(2)(3)24n n n n n a C ---==． 因为23242a a a =，所以2(1)(2)(1)(1)(2)(3)26224n n n n n n n n n ------⎡⎤=⨯⨯⎢⎥⎣⎦． 解得5n =．（2）由（1）知，5n =．502233445555555(1(1n C C C C C C a +==++++=+．解法一：因为,a b *∈N ，所以0245553976a C C C =++=，1355553944b C C C =++=， 从而222237634432a b -=-⨯=-．解法二：50122334455555555(1(((((C C C C C C =+++++02233445555555C C C C C C =--+-．因为,a b*∈N ，所以5(1a -=-因此225553((1(1(2)32a b a a -=+-=+⨯=-=-．18．在长方体1111A BCD A B C D -中，因为1A A ⊥平面ABCD ，所以AC 为1A C 在平面ABCD 内的射影，故1A CA ∠为直线1A C 与平面ABCD 所成的角．在1Rt A CA △中，5A C ==，15A A =，于是11tan 1A AA CA A C∠==，得14A CA ∠=π．因此，直线1A C 与平面ABCD 所成角的大小为4π； （2）以A 为原点，AB ，A D ，1A A 所在直线分别为,,x y z 轴建立空间直角坐标系，则(0,0,0)A ，1(0,0,5)A ，(3,4,0)C ，(3,0,2)M ．设向量(,,)n u v w =是平面1A M C 的法向量，则1n CA ⊥，n CM ⊥．因为1(3,4,5)CA =--，(0,4,2)CM =-，10n CA ⋅=，0n CM ⋅=， 所以3450,420u v w v w --+=⎧⎨-+=⎩．取1u =，得平面1A M C 的一个法向量11,,12n ⎛⎫= ⎪⎝⎭．又(3,4,0)A C =，于是点A 到平面1A M C 的距离||103||n A C d n ⋅==． 19．（1）连结1B C ，M E ．因为M ，E 分别为1BB ，BC 的中点， 所以1M E B C ∥，且112M E B C =．又因为N 为1A D 的中点，所以112N D A D =．由题设知11A B DC ∥，可得11B C A D ∥，故M E N D ∥，因此 四边形MEN D 为平行四边形，MN ED ∥．又MN ⊄平面1EDC ， 所以MN ∥平面1C DE ．（2）由已知可得DE DA ⊥．以D 为坐标原点，DA 的方向为x 轴正方向，建立如图所示的空间直角坐标系D xyz -，则(2,0,0)A ，1(2,0,4)A ，3,2)M ，(1,0,2)N ，1(0,0,4)A A =-，1(3,2)A M =--，1(1,0,2)A N =--，(0,3,0)M N =．设(,,)m x y z =为平面1A M A 的法向量，则110,0m A M m A A ⎧⋅=⎪⎨⋅=⎪⎩．所以320,40x y z z ⎧--=⎪⎨-=⎪⎩．可取(3,1,0)m =．设(,,)n p q r =为平面1A M N 的法向量，则10,0n M N n A N ⎧⋅=⎪⎨⋅=⎪⎩．所以30,20q p r ⎧-=⎪⎨--=⎪⎩．可取(2,0,1)n =-．于是2315cos ,||||25m n m n m n ⋅<>===⨯，所以二面角1A M A N --10．20．（1）由题意，2(2,0)F ，直线l 的方程为2x =，代入椭圆Γ的方程，解得2y = 因此，||22A B =（2）设(,)(0)A x y y >，由1(2,0)F -，2(2,0)F ，及190F A B ∠=︒，得A 点坐标满足方程224x y +=．由题意，点A 的坐标为方程组22221,844,x y x y ⎧+=⎪⎨⎪+=⎩的实数解，解得0,2x y =⎧⎨=⎩． 故点A 的坐标为(0,2)． 直线l 的方程为2y x =-+．由题意，点,A B 的坐标为方程组221,842,x y y x ⎧+=⎪⎨⎪=-+⎩的实数解， 可得点B 的坐标为82,33⎛⎫- ⎪⎝⎭；（3）设11(,)A x y ，22(,)B x y ，3(0,)M y ，4(0,)N y ．显然直线l 的方程不为0y =，可设直线l 的方程为2x my =+． 点,A B 的坐标为方程组221,842,x y x my ⎧+=⎪⎨⎪=+⎩的实数解， 消x ，得22(2)440m y my ++-=，于是12242m y y m -+=+，12242y y m -⋅=+． 又直线1A F 的方程为11(2)2y y x x =++，可得为13122y y x =+，同理24222y y x =+． 由11F A B F M N S S =△△，得121213411||||||||22F F y y F O y y ⋅⋅-=⋅⋅-（O 为坐标原点）．其中121||2||F F F O =，1212342121212228||||22|4()16|y y y y y y x x m y y m y y --=-=+++++，结合韦达定理，代入上式，可解得m =因此，存在直线l，其方程为20x ±-=，使得11F A B F M N S S =△△． 21．（1）()()12113n n a a n d -π=+-=，()()21sin sin 3n n n b a -π⎡⎤==⎢⎥⎣⎦，10b =，2b =3b =40b =，5b =6b =，…，也即320n b -=，3132n b -=，332n b =-，②33,0,22S ⎧⎫⎪⎪=-⎨⎬⎪⎪⎩⎭； （2）②{}n b 的最小正周期为2， 则()()31sin sin sin 212a a d π⎛⎫=⇒+= ⎪⎝⎭，()()2222d k k d k k ππ⇒+=π+∈⇒=π∈Z Z ， 又(]0,d ∈π，②d =π，此时，211n b -=，21n b =-，{}1,1S =-，符合题意； ②{}n b 的最小正周期为3，则()()41sin sin sin 312a a d π⎛⎫=⇒+= ⎪⎝⎭，()()232223k d k k d k πππ⇒+=π+∈⇒=∈Z Z ， 又(]0,d ∈π，②23d π=， 此时，321n b -=，313212n n b b --==-，1,12S ⎧⎫=-⎨⎬⎩⎭，符合题意；综上，23d π=或d =π； （3）显然()37T T *∈N ≤≤由sin sin 22x x ππ⎛⎫⎛⎫-=+ ⎪ ⎪⎝⎭⎝⎭以及单位圆的知识可得3T =：只要保证构造的单位圆上三点纵坐标均不相等即可（如图1所示）可构造10a =，23d π=，例子不唯一；4T =：只要保证构造的单位圆上四点纵坐标有且仅有两个相等即可（如图2所示）可构造10a =，2d π=，例子不唯一； 5T =：只要保证构造的单位圆上五点纵坐标有两组分别相等即可（如图3所示）（图1）（图2）可构造13 10aπ=，25dπ=，例子不唯一；6T=：②3T=时的例子仍然符合题意；②只要保证构造的单位圆上六点纵坐标有三组分别相等即可（如图4所示）可构造1a=，3dπ=，例子不唯一；7T=：意味着构造的单位圆上的七点，至少有三个点纵坐标相等，显然不成立；综上，符合题意的T的所有可能的值为3、4、5、6．（图4）（图3）。

初一语文(yǔwén)下周末试卷〔五〕一、积累与运用(满分是21分)1．读下面这段文字，根据拼音写出汉字。

〔4分〕假设我是一江春水，哪怕遇到巨岩的阻挡，也要尽力地奔腾流tǎnɡ⑴；假设我是一颗种子，即使落在贫jí⑵的土地，也要顽强地ménɡ⑶发成长。

我们应懂得生命的真dì⑷，乘着理想的航船，撑起信念的风帆，驶向辉煌的此岸。

⑴⑵⑶⑷2.读下面这段文字，为空格处选择适宜的词语，将其序号填在横线上。

〔3分〕在这个精彩纷呈的年代，我们要拥有一双智慧的眼睛。

我们登上山巅，⑴旖旎壮丽的山川，留存美丽的风景；我们细数历史，⑵名垂千古的先贤，承受灵魂的洗礼；我们畅想前景，⑶灿烂美妙的将来，获取希望的动力。

A．展望 B．眺望 C．仰望⑴⑵⑶3．下面是一位同学的习作片段，根据要求完成题目。

〔8分〕①青春给予我们激情，我们就要热烈地拥抱生活□青春给予我们勇气，我们就要无畏地承受挑战。

②世上并没有什么可怕的事，只要有〔不管前面的困难有多大，阻力有多大，都要义无反顾地前行〕的勇气。

③我们是青春的拥有者，我们要时刻提醒自己：勇气是号角，让等待观望的人信心满怀；它就像是给人力量的强心剂，让许许多多精神萎靡的人重新焕发生命的活力；它也是向前奔腾的激流，推动彷徨犹豫的人勇往直前。

⑴句①的“□〞中应加上的标点是。

〔1分〕⑵如用格言警句来交换句②括号中的内容，以下最恰当的一项是哪一项〔〕〔3分〕A．明知山有虎，偏向(piānxiàng)虎山行 B．少壮不努力，老大徒伤悲C．舍生取义，杀身成仁 D．只要功夫深，铁棒磨成针⑶修改习作片段中的画线局部，使句③构造整齐，表达简洁流畅。

〔4分〕勇气是号角，让等待观望的人信心满怀；，；，。

没有．．语病的一项是哪一项〔〕〔3分〕A.无视母语修养会让母语中独特的文化意蕴在我们的日常生活中日渐逐步消退。

B.为进步民行车的舒适度，有关部门对多处路井部位进展了整修，解决了颠簸现象。

复旦附中2016学年第二学期高三英语第五周周末作业2017.3第Ⅰ卷（共90分）I. Listening Comprehension (25%)Section ADirections: In Section A, you will hear ten short conversations between two speakers. At the end of each conversation, a question will be asked about what was said. The conversations and the questions will be spoken only once. After you hear a conversation and the question about it, read the four possible answers on your paper, and decide which one is the best answer to the question you have heard.1. A.$300 B. $200 C. $450 D. $6002. A. Because these days she is on a diet.B. B ecause she doesn’t like sweet drink.C. Because she has a poor stomach.D. Because something is wrong with her teeth.3. A. Changing money. B. Paying a bill.C. Making a bargain.D. Counting money.4. A. In ahospital. B. A t a hairdresser’s. C. In abakery. D. A t a butcher’s.5. A. She didn’t expect him to come early. B. I t’s not the right time for her.C. The man has arrived on time.D. She will come back early.6. A. Traveler and tour guide. B. Customer and house agent.C. Shopper and shop assistantD. Visitor and receptionist.7. A. The woman did not borrow the book last month.B. T he woman didn’t return the book last month.C. The woman didn’t return the book last Friday.D. The woman returned the book last Friday.8. A. He likes to send text messages.B. He prefers to write letters.C. He favors emails over text messages.D. He likes neither messages nor emails.9. A. The paper piled up while he was on vacation.B. The papers are his plan for the vacation.C. Too much work makes his vacation impossible.D. He will finish the work during the vacation.10. A. Never play computer games. B. Work out more word puzzles.C. Increase his vocabulary.D. Never chat online with friends.Section BDirections: In Section B, you will hear four short passages and longer conversations, and you will be asked several questions on each of the passages and conversations. The passages and the conversations will be read twice, but the questions will be spoken only once. When you hear a question, read the four possible answers on your paper and decide which one would be the best answer to the question you have heard.Questions 11 through 13 are based on the following passage.11. A. The blue lights make people warm. B. Grey walls help to calm people down.C. Travelers can find it in Terminal 5.D. Speaking loudly is forbidden in it.12. A. By a yoga teacher seated in a full lotus position.B. By pictures put up at different places at the airport.C. By videos shown on the big screen.D. By announcement made by the air hostess.13. A. It provides opportunities for passengers to make friends.B. Its decoration is different from yoga rooms outside the airport.C. Passengers can stretch out there before a long distance flight.D. It is a good place for travelers to kill time and have a rest.Questions 14 through 16 are based on the following passage.14. A. On the east side of the campus. B. On the west side of the campus.C. On the south side of the campus.D. In the middle of the campus.15. A. It is located in the town center.B. The apartments are well available.C. No apartment has four single bedrooms.D. each apartment has four single bedrooms.16. A. To add names to the waiting list.B. To contact the speaker right away.C. To apply as soon as possible for next year.D. To get information from the off-campus housing office.Questions 17 through 18are based on the following conversation.17. A. He checks the woman’s exercise record.B. He makes judgment according to her figure.C. He knows the woman drives to her workplace.D. He finds the woman’s blood pressure in on the high side.18. A. Exercise regularly. B. Go to work by bike.C. Kill birds by gun.D. Have dishes with less salt.Questions 19 through 20are based on the following conversation.19. A. Confirming his course reservation. B. Applying for a parking lot.C. Examining his hip.D. P rocessing students’ requests.20. A. A letter that proves his identity. B. A letter lists his top four choices.C. A letter that certifies his disability.D. A letter that certifies he is a professor.II．Grammar and Vocabulary (20%)Section A (10%)Directions:Read the following passage. Fill in each blank with one proper word or the proper form of the given word to make the passage coherent. Make sure that your answers are grammatically correct.There has been a lot of talk about the debt ceiling in the United States. The debt ceiling is a legal limit on the amount of money the federal government can borrow. Political disputes over that amount___21___(concern) investors in recent weeks.Alexander Gelber is an assistant professor of public policy at the University of California in Berkeley. He says American lawmakers must negotiate a new debt ceiling ___22___ the federal debt reaches that legal limit."The debt ceiling is a limit on the amount that US Treasurycan borrow, and that limit needs to be raised by congress periodically."National debt is necessary when ___23___ government spends more money than it has available. Governments offer bonds and other investments to raise money to pay for the spending. In return, the government promises to repay investors ___24___buy the securities.The financial demands of World War I led American lawmakers to establish a total debt limit. In 1917, congress agreed that the president ___25___ borrow up to a set amount without seeking congressional approval.Congress has agreed to change the debt limit 10 times since 2001. ___26___ the major parties have yet to agree on spending levels or on the need to borrow to pay for government operations.Other nations buy United States Treasury department securities because they are considered ___27___ （safe）investment in the world. The partial shutdown of the federal government led to worldwide concern about the safety of these investments.The debt ceiling was supposed to reach the legal limit last week. ___28___ power to borrow more, the government would have been unable to pay investors who owned Treasury department securities.Professor Gelber says the possibility of the United States ___29___ ( fail )to pay its debts caused concern around the world.In recent years, disputes over spending and debt limits have led to delays in congressional approval of a budget and in raising the debt ceiling.Last week, only 1 day before borrowing reach the legal limit, congress agreed to re-open the government without enforcing the debt ceiling.Lawmakers agreed to let the president decide ___30___ the Treasury department could borrow through February 7th. Congress approved a budget to operate the government through January 15th.The president and congress must now negotiate a new spending plan and another debt limit in order to avoid another crisis.Section B (10%)Directions:Complete the following passage by using the words in the box. Each word can only be used once. Note that there is one word more than you need.III. Reading Comprehension (45%)Section A (15%)Directions: 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.Probably the number one complaint about reading Shakespeare is that it doesn't always read like "normal" English. It's a natural and legitimate___41___. Shakespeare wrote for an audience over 400 years ago. Think about how word meanings and expressions change over a relatively short time; four centuries bring with them a lot of ___42___ .The Elizabethan era was a particularly volatile growth spurt in the English language. The Renaissance and England's emerging status as a sea power ___43___ the language to an ever-increasing range of cultures and languages. At the same time, there was no real standardization in English. Formal dictionaries and grammar textbooks ___44___ did not exist, and "proper" education focused much more on classical Latin than on colloquial English. Despite this neglect ---- or perhaps because of it ----English by the reign of Elizabeth had a certain flexibility to it, of which Shakespeare ___45___.So how can a reader today __46____ that gap between then and now? There are two critical areas to ___47___ : word usage, grammar. Once you understand these fundamental concepts, Shakespeare becomes a lot more ___48___.First and foremost, there have been numerous vocabulary changes in English since Shakespeare was writing. While many words are still recognizable today, others have shifted in their meaning or dropped altogether from usage. ___49___, when was the last time you heard anyone use words such as bodkin (a piercing tool), contumely (verbal abuse), or fardel (a bundle)? There are also conventions such as the informal thou versus the formal you; think of this the same way that tú and usted are used in Spanish, or du and sie in German. Often the context in which a word is used will help you determine its meaning. A good ___50___ with detailed footnotes will help you, as well as a good dictionary. The main thing is to be aware that even a familiar word from today may be used with a different meaning in Shakespeare's works.Grammar is where the ___51___ of Shakespeare's English is often most apparent. Parts of speech are frequently___52___, such as nouns or adjectives becoming verbs. Verbs and subjects don't always ___53___. Words are often omitted in phrases. Word endings such as -ly are inconsistently applied. Shakespeare uses double negatives in spots and phrases such as "most unkindest" with regularity. Even sentence construction can be ___54___, with inversions of the basic subject-verb-object order. ___55___ we would say, "John caught the ball," Shakespeare might render the same statement with the same meaning as "John the ball caught," or "The ball John caught." As a result, it's important to recognize which part of speech a given word actually represents in a given line.41. A. oppression B. accusation C. direction D. appreciation42. A. specifics B. alterations C. improvements D. incidents43. A. exposed B. led C. contacted D. linked44. A. roughly B. arguably C. simply D. essentially45. A. took pride B. kept back C. took advantage D. gave away46. A. widen B. avoid C. embrace D. bridge47. A. address B. deal C. learn D. undertake48. A. unchanged B. easy C. accessible D. qualified49. A. In other words B. For example C. Above all D. By contrast50. A. edition B. medium C. recollection D. download51. A. confusion B. mixture C. achievement D. flexibility52. A. switched B. solved C. adapted D. adjusted53. A. connect B. guarantee C. agree D. neglect54. A. pitiful B. independent C. unique D. tricky55. A. Before B. While C. Providing D. SinceSection B (22%)Directions: Read the following three passages. 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.AComputers have been taught to play not only checkers, but also championship chess, which is a fairly accurate yardstick for measuring the computer’s progress in the ability to learn from experience.Because the game requires logical reasoning, chess would seem to be perfectly suited to the computer. All a programmer has to do is give the computer a program evaluating the consequences of every possible response to every possible move, and the computer will win every time. In theory this is a sensible approach; in practice it is impossible. Today, a powerful computer can analyze 40 000 moves a second. That is an impressive speed. But there are an astronomical number of possible moves in chess ---- literally trillions. Even if such a program were written (and in theory it could be given enough people and enough time), there is no computer capable of holding that much data.Therefore, if the computer is to compete at championship levels, it must be programmed to function with less than complete data. It must be able to learn from experience, to modify its own program, to deal with a relatively unstructured situation ---- i n a word, to ―think‖ for itself. In fact, this can be done. Chess-playing computers have yet to defeat world champion chess players, but several have beaten human players of only slightly lower ranks. The computers have had programs to carry them through the early, mechanical stages of their chess games. But they have gone on from there to reason and learn, and sometimes to win the game.There are other proofs that computers can be programmed to learn, but this example is sufficient to demonstrate the point. Granted, winning a game of chess is not an earthshaking eventeven when a computer does it. But there are many serious human problems which can be fruitfully approached as games. The Defense Department uses computers to play war games and work out strategies for dealing with international tensions. Other problems ----international and interpersonal relations, ecology and economics, and the ever-increasing threat of world famine ---- can perhaps be solved by the joint efforts of human beings and truly intelligent computers.56. The purpose of creating chess-playing computers is __________ .A. to win the world chess championB. to pave the way for further intelligent computersC. to work out strategies for international warsD. to find an accurate yardstick for measuring computer progress57. Today, a chess-playing computer can be programmed to __________ .A. give trillions of responses in a second to each possible move and win the gameB. function with complete data and beat the best playersC. learn from chess-playing in the early stage and go on to win the gameD. evaluate every possible move but may fail to give the right response each time58. For a computer to ―think‖, it is necessary to __________ .A. mange to process as much data as possible in a secondB. program it so that it can learn from its experiencesC. prepare it for chess-playing firstD. enable it to deal with unstructured situations59. The author’s attitude towards the Defense Department is __________ .A. criticalB. unconcernedC. positiveD. negativeBThe following are four resumes (简历) of four persons.Hannah Oyler21 Balsom St Ventura, CA 94120 (613)555–7236Objective To obtain a position as a photographer for a major metropolitan (大都市的) newspaper.Notable Achievements Time Magazine, Top Photos of the Year 1999 for California Wildfire Banaker; Excellence in Photography Fellowship, 1995.ExperienceVentura County Times Staff photographer, 1996—Present,Regular coverage included: Sports, Lifestyle, & Metro. Successfully met tight deadlines.Los Angeles Times Summer Intern, 1995 & 1996,Assisted lead sports photographer. Gained valuable knowledge of function and limitations of various types of cameras, lenses, and films.Education University of Southern California, Los Angeles, CA; B.A., Photography, 1996Thomas Stanley 817 Park Ave Seattle, WA 98023 (614)555–0283Objective Legal Aid Practitioner.Experience Johnson Industries International Legal Counsel, 1998 to PresentActed as the in-house lawyer for the company, and was responsible for providing legal support forall company operations. Instrumental in establishing written company policies and training materialswith respect to international trading laws and regulations, and general commercial practices. Provided prompt, efficient and practical legal advice to support to a busy, demanding clientele of traders.Education Stanford University, Palo Alto, CA; B.A., Law, 1998Kathy Lorentz 608 Lincoln Ave Mobile, AL 36513 (623)555–8237Objective To obtain a managerial position that will allow me to utilize my knowledge and experienceto increase profit margins, productivity and quality.Summary Accomplished Project Manager with more than ten years experience. Proven ability to design and implement (实施) effective strategies, develop new products, and manage resources to produce profit. Proven ability to streamline (精简) processes and increase productivity.Experience In Tech Corporation, Mobile, AL Project Manager, 1995 to PresentWorked with customers / potentials on development of product designs, tooling concepts, manufacturing methods, and costing for custom molded component applications. Directly supervised technical team of 3–5 project engineers responsible for new mold and molding systems implementation. Education Jackson University, Tampa, FL; M.B.A., Business Administration, 1992Gary Wilson 809 West Cayuga St Philadelphia, PA 19037 (813)555–6026Objective Position as a Nurse of Health Care Provider.Employment History St. Mark’s Hospital, Philadelphia, PA; Surgical Nurse, 1994 to Present Served as a staff surgical nurse. Provided health care checks for a diverse population. Performed blood pressure tests for community health outreach programs, provided a wide range of services including women’s health clinic services and care for elderly patients.Licenses R.N. – American Medical Association.Education University of Scranton, Scranton, PA; B.S., Nursing, 1994ProfessionalAffiliations Monroe County Medical Society; Pennsylvania Nursing Association60. From the four resumes, we know that ___________.A. Kathy knows much about different photographic equipmentB. Thomas works in Johnson Industries International at presentC. Gary graduated as an M.B.A. in Business AdministrationD. Hannah majored in photography at University of Scranton61. A company which needs someone to take charge of the research and development department can dial___________.A. (613)555–7236B. (614)555–0283C. (623)555–8237D. (813)555–602662. According to the passage, what do the four persons have in common?A. They have been in their present jobs for at least 20 years.B. Each is living in the same state where his university lies.C. They took their present jobs soon after they left university.D. They want to obtain a position that is related to their majors.CThe first two stages in the development of civilized man were probably the invention of weapons and the discovery of fire, although nobody knows exactly when he acquired the use of the latter.The origin of language is also difficult to understand. No doubt it began very gradually. Animals have a few cries that serve as signals, but even the highest apes have not been found able to pronounce words, even with the most intensive professional instruction. The superior brain of man is apparently a necessity for the mastering of speech. When man became intelligent enough, we must suppose that he gradually increased the number of cries for different purposes. It was a great day when he discovered that speech could be used for describing and telling stories. There are those who think in this respect picture language appeared before oral language. A man could draw a picture on the wall of his cave to show in which direction he had gone, or what prey he hoped to catch. Probably picture language and oral language developed side by side. I prefer to think that language has been the most important single factor in the development of man.Two important stages came not so long before the dawn of written history. The first was the domestication of animals. The second was agriculture. Agriculture was a step in human progress to which there was nothing comparable until our own machine age. Agriculture made possible a huge increase in the number of the human species in the regions where it could be successfully practiced. These were, at first, only those in which nature fertilized the soil after each harvest. Agriculture met with violent resistance from the pastoral nomads （游牧民族）, but the agricultural way of life was accepted in the end because of the physical comforts it provided.Another fundamental technical advance was writing, which, like spoken language, developed out of pictures, but as soon as it had reached a certain stage, it was possible to keep records and transmit information to people who were not present when the information was given.These inventions and discoveries ---- fire, speech, weapons, domestic animals, agriculture, and writing ----made the existence of civilized communities possible. From about 3000 B. C. until the beginning of the Industrial Revolution less than two hundred years ago there was no technical advance comparable to these. During this long period man had time to become accustomed to his technique, and to develop the beliefs and political organizations appropriate to it. There was, of course, a big extension in the area of civilized life. At first it had been confined to the Nile, the Euphrates, the Tigris and the Indus, but at the end of the period inquestion it covered much the greater part of the inhabitable globe. I do not mean to suggest that there was no technical progress during this long time; there was progress ---- there were even two inventions of very great importance, namely gunpowder and the compass ---- but neither of these can be compared in their power to such things as speech and writing and agriculture.63. According to the above passage, we can conclude that ___________.A. the use of fire and the domestication of animals made agriculture possibleB. progress was probably very slow when language first came into beingC. gunpowder and the compass are as important as speech in historyD. communication is the most important factor for human development64. From the article we can learn that agriculture ___________.A. was accepted as soon as it appearedB. is as great a step forward as our machine ageC. helped improve the techniques of domesticationD. at first helped make the land more suitable for crops65. Which is the right order of the appearance of the following things（a to e）?a. agricultureb. weaponsc. domestication of animalsd. written languagee. political organizationsA. c, a, d, b, eB. e, b, c, d, aC. b, a, c, d, eD. b, c, a, d, e66. Which of the following is the best title of the article?A. The Development of CivilizationB. Speech and CivilizationC. The Origin of LanguageD. The First Two StagesSection C (8%)Directions: Read the following passage. 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.Have you got an addictive nature? Are you unable to stop yourself joining in with the latest obsession for collecting or doing something? This probably describes most of us because it's only human nature to not want to miss out on something that everyone else is talking about.Most fads arrive suddenly and enthusiasm for them spreads quickly. They become a talking point on social media; we read about them, give them a try and, before we know it, we are hooked. In the past, (67.)___________. Maybe you were the proud owner of a Rubik's cube, which became the best-selling toy of all time – around 350 million have been sold so far.Now, technology is driving the latest crazes. In some parts of the world, flavour of the month is Pokémon Go ---- a game that uses augmented reality, where little virtual monsters pop up onto your phone and you have tocatch them. And games such as Angry Birds and Minecraft are other crazes, available on smartphones and tablets that have been hard to put down.Our keenness to participate in crazes has been analyzed by experts. One of them, Dr Ben Michaelis, a clinical psychologist, explains that (68.)_____________and this "hooks into an ancient evolutionary fear of being left behind or abandoned by our tribes"; we have to join in or lose out.Although becoming addicted to a computer game might not seem like a 'benefit', (69.)_____________. It allows you to learn new skills and gives you something to talk about at parties!But fashions come and go and most fads are just a flash in the pan so if one of them is not your cup of tea, don't worry: (70.)_______________. Look at the addiction to the unsophisticated loom bands – those little rubber bands you could make jewelry and other things out of. For a brief period they were the must-have item for any schoolchild, now they're the bargain bucket item in a discount shop or worse still, trash filling up our landfill sites! What crazes have you been addicted to?第Ⅱ卷（共50分）I. Translation (15% = 3+3+4+5)Directions: Translate the following sentences into English, using the words given in the brackets.1. 我觉得食品安全问题在于法规和道德的缺失。

高考化学期末测试卷必考（重点基础题）含解析注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B铅笔绘、写清楚，线条、符号等须加黑、加粗．一、选择题（每题只有一个选项符合题意）1、化学与生活密切相关，下列说法错误的是（）A．乙醇汽油可以减少汽车尾气污染B．化妆品中添加甘油可以起到保湿作用C．有机高分子聚合物不能用于导电材料D．葡萄与浸泡过高锰酸钾溶液的硅藻土放在一起可以保鲜2、不同温度下，三个体积均为1L的密闭容器中发生反应：CH4(g)+2NO2(g)N2(g)+CO2(g)+2H2O(g) △H=-867 kJ.mol-1，实验测得起始、平衡时的有关数据如表。

下列说法正确的是起始物质的量/mol 平衡物质的量/mol容器编号温度/KCH4NO2N2CO2H2O NO2I T10.50 1.2 0 0 0 0.40II T20.30 0.80 0.20 0.20 0.40 0.60III T30.40 0.70 0.70 0.70 1.0A．T1<T2B．若升高温度，正反应速率减小，逆反应速率增大，平衡逆移C．平衡时，容器I中反应放出的热量为693.6 kJD．容器III中反应起始时v 正(CH4) <v逆(CH4)3、下列烷烃命名错误的是A．2─甲基戊烷B．3─乙基戊烷C．3,4─二甲基戊烷D．3─甲基己烷4、下列有关物质性质的比较，结论错误的是( )CH CH OH<CH CH CHA．沸点：32323B ．溶解度：AgI<AgClC ．热稳定性：3AsH <HBrD ．碱性：2Ba OH <CsOH （） 5、下列实验操作能达到实验目的的是 A ．用向上排空气法收集NOB ．用装置甲配制100 mL 0.100 mol·L －1的硫酸C ．用装置乙蒸发CuCl 2溶液可得到CuCl 2固体D ．向含少量水的乙醇中加入生石灰后蒸馏可得到无水乙醇 6、下表中对应关系正确的是( )ACH 3CH 3+Cl 2CH 3CH 2Cl+HClCH 2=CH 2+HCl→CH 3CH 2Cl 均为取代反应B 由油脂得到甘油；由卤代烃制醇 均发生了水解反应 CCl 2+2Br‾→2Cl‾+Br 2；Zn+Cu 2+→Zn 2++Cu 均为单质被还原的置换反应D2Na 2O 2+2H 2O→4NaOH+O 2↑； 2F 2+2H 2O→4HF+ O 2 均为水作还原剂的氧化还原反应 A ．AB ．BC ．CD ．D7、下列变化中化学键没有破坏的是 A ．煤的干馏B ．煤的气化C ．石油分馏D ．重油裂解8、常温下,向20.00 mL 0.100 0 mol·L -1 (NH 4)2SO 4溶液中逐滴加入0.200 0 mol·L -1 NaOH 溶液时,溶液的pH 与所加NaOH 溶液体积的关系如图所示(不考虑NH 3·H 2O 的分解)。

上海复旦附中2024学年高三年级第二学期数学试题周练一（含附加题）注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置． 3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B 铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效． 5．如需作图，须用2B 铅笔绘、写清楚，线条、符号等须加黑、加粗．一、选择题：本题共12小题，每小题5分，共60分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．如图所示，已知某几何体的三视图及其尺寸（单位：cm ），则该几何体的表面积为( )A ．15π2cmB ．21π2cmC ．24π2cmD ．33π2cm2．抛掷一枚质地均匀的硬币，每次正反面出现的概率相同，连续抛掷5次，至少连续出现3次正面朝上的概率是（ ） A ．14B ．13C ．532D ．3163．已知函数f (x )＝223,1ln ,1x x x x x ⎧--+≤⎨>⎩,若关于x 的方程f (x )＝kx －12恰有4个不相等的实数根，则实数k 的取值范围是( ) A ．1e 2⎛⎝ B ．12e ⎡⎢⎣C ．12e ⎛⎝⎦D ．12e ⎛⎝⎭4．已知函数()()sin f x A x =+ωϕ（其中0A >，0>ω，0ϕπ<<）的图象关于点5,012M π⎛⎫⎪⎝⎭成中心对称，且与点M 相邻的一个最低点为2,33N π⎛⎫- ⎪⎝⎭，则对于下列判断： ①直线2x π=是函数()f x 图象的一条对称轴；②点,012π⎛⎫-⎪⎝⎭是函数()f x 的一个对称中心； ③函数1y =与()351212y f x x ππ⎛⎫=-≤≤⎪⎝⎭的图象的所有交点的横坐标之和为7π. 其中正确的判断是（ ） A ．①②B ．①③C ．②③D ．①②③5．在ABC ∆中，a ，b ，c 分别为角A ，B ，C 的对边，若ABC ∆的面为S ，且()2243S a b c =+-，则sin 4C π⎛⎫+= ⎪⎝⎭（ ） A ．1B ．22C ．624- D ．624+ 6．中国古代数学著作《算法统宗》中有这样一个问题；“三百七十八里关，初行健步不为难，次后脚痛递减半，六朝才得到其关，要见每朝行里数，请公仔细算相还.”其意思为：“有一个人走了378里路，第一天健步走行，从第二天起脚痛每天走的路程是前一天的一半，走了6天后到达目的地，求该人每天走的路程.”由这个描述请算出这人第四天走的路程为（ ） A ．6里B ．12里C ．24里D ．48里7．已知函数()f x 的导函数为()f x '，记()()1f x f x '=，()()21f x f x '=，…，()()1n n f x f x +'=(n ∈N *). 若()sin f x x x =，则()()20192021f x f x += （ ）A ．2cos x -B ．2sin x -C ．2cos xD ．2sin x8．如图，在ABC ∆中，点Q 为线段AC 上靠近点A 的三等分点，点P 为线段BQ 上靠近点B 的三等分点，则PA PC +=（ ）A ．1233BA BC + B ．5799BA BC + C ．11099BA BC + D ．2799BA BC +9．明代数学家程大位（1533~1606年），有感于当时筹算方法的不便，用其毕生心血写出《算法统宗》，可谓集成计算的鼻祖．如图所示的程序框图的算法思路源于其著作中的“李白沽酒”问题．执行该程序框图，若输出的y 的值为2，则输入的x 的值为（ ）A ．74B ．5627C ．2D ．1648110．函数()5sin 20312f x x x ππ⎛⎫⎛⎫=+≤≤ ⎪⎪⎝⎭⎝⎭的值域为（ ） A ．1,12⎡⎤-⎢⎥⎣⎦B ．10,2⎡⎤⎢⎥⎣⎦C ．[]0,1D ．1,02⎡⎤-⎢⎥⎣⎦11．曲线24x y =在点()2,t 处的切线方程为（ ） A ．1y x =-B ．23y x =-C ．3y x =-+D ．25y x =-+12．若命题：从有2件正品和2件次品的产品中任选2件得到都是正品的概率为三分之一；命题：在边长为4的正方形内任取一点，则的概率为，则下列命题是真命题的是（ ）A ．B ．C ．D ．二、填空题：本题共4小题，每小题5分，共20分。

复旦附中高三周练试卷II. Grammar and Vocabulary (20%)Section A (10%)Directions: 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 words; for the other blanks, use one word that best fits each blank.He Zhigang’s eyes pleaded with the elevator dial as he stood waiting on the ground floor.The red numbers wouldn’t budge. He glanced at his phone. The elevato r. The phone. He pushed back his helmet, lifted the delivery bag of steamed buns and prepared to run up 20 flights of stairs. The elevator doors opened. He exhaled. The hungry office worker probably won’t remember who brought him lunch on a Friday afternoo n, or(21)________ it was 11 minutes and 20 seconds before the allotted time. Maybe he’ll notice the colorful uniforms that flood Beijing streets and think of the beef noodle soup that came still too hot to eat, or the deliveryman who screeched past on an electric scooter and nearly took out his driver's side mirror.These wai mai, or take-out, drivers symbolize China’s transformation from a poor society (22)_______(dedicate) to manufacturing to a more affluent(23)________ driven by consumption.Delivery dri vers are “high risk” because they run red lights and drive(24)________traffic. They meld (融入)into the chaos of the street ,where cars make U-turns in the middle of the road, bicycles ride on sidewalks and motorcycles play chicken with oncoming traffic. Eye contact acknowledge defeat. Electric scooters like He’s (25)_________(add) to the scramble(争抢)only.The dinner crush(26)_________(start)by 6 p.m. when He walked into a west Beijing mall. He’d just passed a bag of noodles to the hand that(27)_________(emer ge) from an apartment door. Now he needed to pick up a plate of sashimi, which he’d never eaten. Lines of Japanese, Korean and Yunnan restaurants occupied the mall’s top floor, (28)_________(beg) for customers who weren’t there. Instead, red-shirted wai mai drivers poured out of the elevator. Blue shirts came from theright. Yellow took the escalators. These drivers may not benefit from China’s economic rise as much as their customers, but they’ve secured a spot in a country(29)________ opportunity comes and goes quickly.There was pride in He’s voice when he told the waiters: “I’m(30)_______deliveryman. He picked up the sushi, nodded at the other drivers, and got back on his bike. Hungry people were waiting.Section BDirection:Complete the following passage by using the words in the box. Each word can be used once. Note that there is one word more than you need.On a(an)(31)_______ bullet train, a virus suddenly spreads throughout like wildfire. Will you lend a helping hand to those in need, or focus all your energy on self-preservation?Train to Busan, a South Korean zombie film which raises this question, has recently set Chinese social media aflutter. To fulfill his young daughter’s birthday wish, divorced hedge fund manager Seok-wu (Gong Yoo) takes the girl on a train from Seoul to Busan to visit her mother. Early in the journey, a scruffy-looking young woman staggers onto the train at the last second, herself(32)_______ infected by something.It doesn’t take a hardcore fan of the ge nre to predict what happens next–the dead-looking girl takes a bite out of a passing attendant, then all hell breaks(33)________. Both would-be saviors and cowardly egocentrics(以自我为中心）are among those who are able to fight their way to survive.However, unlike the traditional powerful and obliging heroes of Western zombie stories, Seok-wu, as the lead protagonist, never intends to save the day during the most part.Setting his character’s tone, the self-(34)________ man locks the door for his own safety when a pregnant woman fleeing from zombies tries to get in. He forbids his daughter to offer her seat to an elderly woman, telling her that only ones ownwell-being(35)_________ matters in extreme conditions. He also uses his contacts to try(36)_________ a way out for him and his young daughter, not considering his hundreds of fellow passengers. Even when he(37)_________ up with a dauntless(无所畏惧的) bruiser and a high school baseball player to fight the zombie hoard, the viewer can guess that his only motivation is the survival of him and his daughter.Compared with the familiar gore-fests of TV series like The Walking Dead (2010-), Train to Busan actually provides a(38)________bloody setting, instead focusing on the complexities of human behavior, rather than the senseless shedding of limbs. The zombie genre has been done to death –no pun intended –but Train to Busan largely(39)________ its success to its vivid character portrayal. For example, the central character is a workaholic father who doesn’t pay enough attention to his daughter but ends up putting his life at stake for her. We also see a selfish, middle-aged man who later reveals that his only mission is to simply reunite with his mother. Love and relationships seem to be a central theme, with a young couple proving their loyalty to one another as well as two elderly sisters who serve to represent family(40)________.III. Reading Comprehension (45%)Section A：Directions: For each blank in the following passage there are four words or phrases marked A, B, CandD.Fill in each blank with the word or phrase that best fits the context.At a certain age, you may feel as if you’re still at life’s beginning yet also disturbingly close to the(41)______.You feel acutely that there’s much left to do. You were going to win an Oscar, pick up a Nobel Prize in physics and get elected president,(42)______you haven’t even gotten around to auditioning for a film, taking a university physics course or brushing up on your(43)______.It’s almost enough to make you want to live forever. But then isn’t the real goal a life hugely increased not so much in(44)______ as in width? A life during which it’s(45)_____ to pursue every one of a wide range of concurrent possibilities?It’s true, if you were immortal, that you might eventually get to be a philosopher and a cantor and an actor and a psychoanalyst and a novelist. But don’t forget: Over that vastly extended period, life would certainly not(46)_____ exposing you to still further choices. When you finally entered psychoana lytic training in 2100, you’dhave to forgo any number of other new possibilities that might at that(47)______ present themselves, such as joining an *expedition to Alpha Centauri, or learning to create art with the previously(48)______ colors recently made visible on the spectrum. You might have crossed one possibility off our list, but you’d have(49)______ three more. Hundreds of years in, you’d still feel as though you’d(50)______ moved beyond the opening stages of what life has to offer.Many activities you once loved, meanwhile, would fall out of fashion or out of reach. As an aging mortal, your knees might make it tough to run a marathon, causing you to(51)______ all the healthy racers. As(52)_______ youthful immortal, by contrast, you might remain fit to run marathons over the centuries. But perhaps the beloved urban races of your youth would have long since disappeared,(53)_______ because of impossibly hot global temperatures and the fact that future civilizations find interplanetary relays far(54)______ exciting. All of the things you once did have shelf lives. The longer you live, the more of them die, increasing the weight of the time that has flowed through your fingers.Many of us 60- and 70-somethings will remember George Burns’ quip goes: Old ag e isn’t great but it sure beats the alternative. There’s also truth to the reverse.(55)______ isn’t great, but it sure beats the alternative.41.A. end B. interval C. milestone D. next42.A. but B. otherwise C. since D. whereas43.A. academics B. diplomas C. marathons D. politics44.A. depth B. height C. length D. weight45.A. coincidence B. enough C. impracticable D. possible46.A. cease B. chase C. confess D. continue47.A. preserve B. prepare C. present D. pretend48.A. unbearable B. unconscious C. unimaginable D. unique49.A. added B. adopted C. obtained D. omitted50.A. actually B. barely C. significantly D.vaguely51.A. encourage B. energize C. envy D. exploit52.A. permanently B. personally C. potentially D. purposefully53.A. banned B. restored C. suspending D. reappearing54.A. anything but B. far more C. other than D. still less55.A. Future B. Youth C. Death D. ImmortalitySection B（A）He lived a tragically short life, but one that was full of incident. The English writer Percy Bysshe Shelley chose the wrong day to go on a sea trip: He drowned in the Gulf of Spezia near Italy, aged 29, in 1822.Born with a silver spoon in his mouth, Shelley went to the University of Oxford but did not complete his studies. He was thrown out for writing a book called the Necessity of Atheism at a time when you couldn’t talk easily about not believing in God.This radical view of the world led him to take the side of the underdogs of society. In Manchester in 1819 there was a demonstration of between 60,000 and 8000 working people. They wanted to be able to vote for members of parliament. They were cut down by the police, and many were killed or injured. To express his support for there cause. Shelley wrote a poem called The Masque of Anarchy. It closes by asking people to rise in “unvanquishable number” and reminds readers :“You are many-they are few”This calls for people to rise up-the spirit of revolution-is present in many of his poems. Perhaps his greatest poem is Ode to the West Wind. Although it seems simply to be about nature and the seasons, these actually show social struggles. It was written at a time when those struggles seemed to have been defeated. Everything seemed to be winter as far as social justice went. Nevertheless, Shelley ends the piece with an inspiring question: “If Winter comes, can Spring be far behind”Of the many memorable question :“If winter comes, can Spring be far behind?”Of the many memorable lines Shelley wrote, these may be the most meaningful. They also perfectly expects the idealism and political commitment in his poetry.56.A. Died of an illness at a young ageB. Didn’t believe in the existence of GodC. Was a famous Romantic poet in the 18th centuryD. Called for justice because he was born into a poor family57.A. He couldn’t afford the tuition feesB. He wanted to devoted himself to writingC. His radical views reflected in his book caused him troubleD. He was an idealist and had gotten frustrated with the education there58.A. Express his support fir the UK parliamentB. Record the loss in te 1819 demonstrationC. Call on more people to rise up and fightD. Describe the poet’s belief in perfect beauty59.What can be concluded from Shelly’s poetry?A. Hes was optimistic about revolutionB. He was worried about social strugglesC. He believed that there was no absolute social justiceD. He was more interested in nature that he was in politics(B)We have been all there -when liming up at the supermarket checkout counter, the lines next to us always seem to be moving faster than the one we are standing in. Now The New York Times has put together the research of multiple scientists to give you some insights into the math and psychology of queuing. It has also offered tips on licking the fastest line no matter you’re lining up in a supermarket, a bank or anywhere else.Pick someone with a full cartUS mathematician Dan Meyer believes that a cart full of items doesn’t tell the whole story. “Every person requires a fixed amount of time is an average of 41 seconds per person. On the other hand, the time that each item takes to be rung up is only three seconds. This means if only one person ahead of you, with 50 items in the cart, the waiting time is 191 seconds. You do the math”Study the customersH ow many people are ahead of you is one thing, and who they are is another. Forexample, if they are old people-and this is not ageist-they tend to move slower and delay the checkout process . The items their carts are also important. For example, four bottles of the milk will definitely go faster than four completely different items.Choose a “serpentine line”In some place, there may just be one line leading to several checkout counts. The person at the head of line goes to next available counter. This is known as a “serpentine line”. You should always choose a serpentine line because even i f one of the cashiers is slow, it won’t hold up an entire lion.Go leftAccording to Robert Samuel, a US science writer, around 90 percent of people are right-handed, which means they tend to naturally go to the right. So heading to the opposite direction-left-will give you a better chance of finding a faster line.60.What is the purpose of the passage?A. To list the potential dangers of choosing a wrong queueB. To tell tell readers which supermarket can save the most timeC. To instruct the readers how to avoid picking the wrong queueD. To provide some tips on how to kill time when one is in the line61.A. A checkout assistant will save time if he rings up goods fsterB. Finishing a cart full of items can be limited to only 41 1secondsC. Trolleys with full loads doesn’t mean waiting for a longer time.D. Maths fails to account for the theory behind one’s waiting time62.relatively slower than the others.A. The line you choose are among the ones on the rightB. The checkout assistant have to go through the routineC. You are waiting behind a group of teenage customersD. You have chosen a serpentine line over a straight one(C)It seems that smoking isn't the popular pastime it used to be in the West, For example,figures published recently by the BBC say that the amount of smokers in England is dropping drastically each year and is now its lowest ever, with just 16.9 percent of adults still participating in the habitBut what is it that’s enticing British people to throw away the cigs and get motivated to live a smoke-free style? Each year, October is a time to quit in the UK. Beginning in 2012,“Stoptober”is an annual gov ernment-run scheme that encourages Brits to say goodbye to cigarettes. Throughout the month, a series of TV and radio ads, alongside a smart phone app and social media campaign, offer help and inspiration to those considering going smoke-free.Among the people encouraged by this year's campaign was Samantha Griffiths, 31, a criminal investigation student from Preston, England. HI stopped smoking this year after 13 years -1 used to smoke almost a whole pack a day. I was inspired by Stoptober but decided to quit early, although Tm helping a friend who wants to quit this month she says.Earlier this year, UK authorities introduced several new restrictions on tobacco in the hope of getting people to quit. The changes included a ban on packs of 10 cigarettes - sold alongside regular packs (20 cigs) as they were cheaper - as well as the requirement of a uniform design on every manufacturer's packaging."Plain packaging” rules mean that every brand must now look the same - an olive green-colored pack with a shocking health warning image on each side. The brand name is now simply plain black lettering, with logos completely banned. The green color was chosen following research commissioned ($1^) by the Australian government (which introduced plain packaging in 2012) that tasked 1,000 smokers to choose a shade that would put them off their habit. Australia and the UK also have some of the highest tobacco taxes in the world, with a pack of Marlboro costing AS26 (133 yuan) in Australia. The same product can be had for as little as 20 yuan in China.“I was spending almost 250 (2,172 yuan) a month on cigarettes before 1 quit” says Griffiths “I am saving the money I would have spent to take my young daughter to Disneyland Pins next year.” So if you’re a smoker, why not join the Brits in trying to quit this month? You may not save enough to get toPairs, but fortunately China has a Disneyland of its own.63.Which of the following statement about stoptober is false?A.It is an official organization administered by the UK authorities.B.It contributes to the decrease in the number of smokers in the UK.C.It encourage people to stop smoking through a variety of channels.D.It inspired Samantha Griffiths to give up smoking from his October.64.Which of the following measures have the UK authorities adopted to control the amount of smokers?A.Those who quit smoking were granted a free trip to Paris Disneyland.B.A tax as heavy as that in Australia was imposed on a tobacco products.C.The use of green color is totally forbidden in the packing of cigarettes.D.Regular-sized cigarette were not permitted to be sold throughout the UK.65.According to the “plain packing” rules conducted in the UK ,what’s not printed on its cigarette packing?A.warning imageB.brand nameC.brand logoD.price tag66.Which of the following can best explain the last sentence “fortunately China hasa Disneyland of its own.”A.Patriotic China citizens will visit their own Disneyland rather than go abroad.B.In China, the expense spared from quitting smoking can ill afford a trip to Pairs.C.The strict no-smoking policy is gladly being implemented in China’s Disneyland.D.Tourists are entitled to purchasing less expensive cigarettes in China’s Disneyland.A generation ago in the US, if you heard a friend talking about having a gig, chances were that yourfriend was a musician. (67)___________________Self-employment, contract or freelance work, temporary jobs - just about anything that isn't full-time - can be described as a gig.The rise of the "gig economy" came along with the evolution of on-demand or as-needed hiring. Digital ordering, stock management, sales, andexpense programs have made large teams of full-time staff a thing of past with some companies taking on temporary workers as and when they need them.(68)_____________________For a while, the gig trend was seen as a temporary response to the Great Recession. Victims of downsizing took on as-needed jobs or tried to make a go of entrepreneurship because that's all that was available.(69)___________________.However, this did not happen on the scale they hoped. This shift means that driving for ride-sharing services like Uber or Lyft has become one of the most common new jobs in the US. Surveys find that many gig economy workers are happy with their new roles with the hourly pay may be better than what they earned as permanent employees. They may enjoy work-hour flexibility that’s perfect for their family or education needs. And they may even find they good at being their own boss.They said,however,Self-employment isn't for everyone. (70)_______ they're not self-starters or can't identify gig opportunities and follow through. Gigs are also not likely to provide traditional benefits such as subsidized healthcare insurance,and aren’t likely to come with retirement plans,although this m ay not be an issue for those with a well-developed financial discipline.Yes,the inconsistency of gigs can be scary.But,really,who doesn’t like an adventure?Summary writingYou are what you eat and fats are a main food for Asia’s fast-food generation. Dr. Chwang, director of the Department of Food Nutrition, says children are consuming more meat and soft drinks. That is a thorough departure from the traditional diet of vegetables and rice and little meat. “They like big pieces of fried meat with a soft drink. So although they may eat the same volume of food, their calorie intake （卡路里摄入量）has increased. Now about 40 to 45 percent of their calories come from fat,” says Chwang.Although on the whole Asians tend towards thinness, culture —namely Asians’ hospitality （好客）—is a reason for the fatness of today’s generation, according to Chwang. “Asian people love food,” she says. “Eating and drinking are important social and family functions. “In the past, however, big meals were only hosted on special occasions as people were more careful with money. In today’s climate of wealth and remarkable consumption, 10-course meals are no longer reserved for significant occasions.Needless to say ,the children are being spoiled by their parents is another cause of chil dren’s overweight. More than anyone else, children are on the receiving end of their parents’ improved circumstances. “In the past , people had four or more children —now, they have one or two, so they tend to spoil them ,” says Chwang. “The easiest way is to give them ‘quality food’. Parents think feeding them well is showing their love. They feel bad when their children look thin.”When describing the physical condition of most overweight Asian children, Chwang says: “There is a clear relationship bet ween fatness and indoor play. Children get fat because they don’t move, and eventually, they don’t want to move because they’re fat.Thanks to technology, a growing army of children prefer video games to old outdoor sports. “What do children do when watchi ng TV or sitting in front of the computer playing video games? They eat chocolate and drink Coke,” says Chwang.Translation1.用不了多久，印度的人口将达到14亿并赶超中国。

复旦大学附属中学2024学年第一学期高三年级数学期中考试试卷 2024.11.12时间: 120分钟 满分: 150分注：请将试题的解答全部写在答题纸的相应位置，写在试卷上无效.一、填空题(本大题共有12小题，第1-6题每题4分，第7-12题每题5分，满分54分) 考生应在答题纸的相应位置直接填写结果.1. 函数 y =log 22x−13−x 的定义域为 .2.(x +1x )6的展开式中常数项的值为 .3. 已知i 为虚数单位, 复数满足(1-3i)·z=|3+4i|, 则复数的虚部为 .4. 已知某圆锥的侧面展开图是圆心角为且面积为3π的扇形，则该圆锥的体积为 .5. 已知样本数据的平均数是2, 方差是1, 则的平均数是 .6. 设斜率为3的直线是曲线的切线，则直线的方程为 .7. 若椭圆 x 2a2+y 23=1的焦距是2，则其离心率为 .8. 若直线 x a +y b =1经过点(1，2)，则直线在轴和轴上的截距之和取最小值时， a b = .9. 在平面四边形ABCD 中, E 、 F 分别是AD 、 BC 的中点.若AB=2,CD=3, 且 EF ⋅AB =4,则 |EF |= .10. 函数是定义在(-4,4)上的偶函数, 其图像如左下图所示, 满足设. y ′=f ′(x )是的导函数, 则关于的不等式≥0的解集是 .11. 如右上图，B 地在A 地的正东方向，相距4km ； C 地在B 地的北偏东30°方向，相距2km ，河流沿岸PQ(曲线)上任意一点到A 的距离比它到 B 的距离远 2km ，现要在曲线 PQ 上选一处 M 建一座码头，向B 、C 两地转运货物. 经测算，从M 到B 地修建公路费用是25万元/ km ，从M 到C 地修建公路的费用为 50 万元/ km. 选择合适的点 M ，可使修建的两条公路总费用最低，则总费用最低是 万元.12. 一个项数为6的正整数数列满足( a₁=3,且 aₖ₊₁≥aₖ(1≤k ≤5,k ∈N ),若为不大于 10的偶数，则符合条件的数列共有 个.z z 32π321x x x 、、232221x x x 、、l x x y 2ln +=l )0>a （)0,0>>b a （l x y )(x f y =0)3(=f )(x f y =x 0)()1(≥'∙+x f x f {}n a 6a {}n a二、选择题(本大题共有4小题，第13-14题每题4分，第15-16题每题5分，满分18分)每题有且只有一个正确选项. 考生应在答题纸的相应位置，将正确选项用2B 铅笔涂黑.13. 抛掷一枚质地均匀的骰子一次，记事件A ：“出现偶数点”，事件B ：“出现3 点或4 点”，则事件A与事件 B 的关系为 ( )A. 是相互独立事件，不是互斥事件B. 是互斥事件，不是相互独立事件C. 既是相互独立事件又是互斥事件D. 既不是互斥事件也不是相互独立事件14. 如图，将正方形ABCD 沿对角线BD 折成直二面角A-BD-C ，则对于翻折后的几何图形，下列结论不正确的是 ( )A. AC⊥BDB. AB 与平面BCD 所成角为60°C. △ADC 为等边三角形D. 二面角A-BC--D 的平面角的正切值是 215. 设集合P={-1,1}, Q={}, 函数f (x )=aˣ+λa⁻ˣ ，下列四个命题：① 对任意λ∈P, 存在a∈Q, 使得y=f(x)是增函数;② 存在λ∈P, 对任意a∈Q, y=f(x)是减函数;⑧ 对任意λ∈P, 存在a∈Q, 使得y=f(x)是奇函数;④ 存在λ∈P, 对任意a∈Q, y=f(x)是偶函数.其中真命题的个数是 ( )A. 1个B. 2个C. 3个D. 4个16. 已知 M ={(x ,y )|y =tx²+(1−t )x,1≤x ≤2,0≤t ≤1}是平面直角坐标系中的点集. 设是M 中两点间距离的最大值，S 是M 中所有点构成的图形的面积，则 ( )A. d=3, S<1B. d=3, S>1C.d =10,S <1D.d =10,S >1三、解答题(本大题共5题，满分78分) 解答下列各题须在答题纸的相应位置写出必要的步骤.1.0|≠>x x x 且)10≠>a a 且（d17. (本题满分14分，第1小题满分6分，第2小题满分8分)在等差数列中，已知 a₁+a₂=10 , a₃+a₄+a₅=30.(1) 求数列的通项公式;(2) 若数列 {aₙ+bₙ}是首项为1，公比为3的等比数列，求数列的前项和.18. (本题满分14分，第1小题满分7分，第2小题满分7分)如图，在三棱锥 D−ABC 中， ∠DAC =∠BAC =60°,AC =1,AB =2,AD =3,(1) 求 AC ⋅BD , 并说明异面直线AC 与BD 所成的角θ的大小在棱BD 长度增大时是怎样变化的；(2) 判断点D 在平面ABC 上的射影是否可能在直线BC 上，给出你的结论并加以证明.{}n a {}n a {}n b n nS19. (本题满分14分，第1小题满分6分，第2小题满分8分)某路口的转弯处受地域限制，设计了一条单向双排直角拐弯车道，平面设计如图所示，每条车道宽为4米，现有一辆大卡车，在里侧车道，其车体水平截面图为矩形ABCD ，它的宽AD 为2.4米，车厢的左侧直线CD 与双车道的分界线相交于E 、 F ，记∠DAE =θ.(1) 若大卡车在转弯的某一刻，恰好 θ=π6,且A 、B 也都在双车道的分界线上，直线CD 也恰好过路口边界O ，求大卡车的车长AB ；(2) 为保证行车安全，在里侧车道转弯时，车体不能越过双车道分界线.求此大卡车的车长AB 的最大值.20. (本题满分18分，第1小题满分4分，第2小题满分6分，第3小题满分8分)在平面直角坐标系中，已知抛物线C: y²=4x 的焦点为F ，点 A (x A ,y A )是抛物线C 上的一点.(1) 若 |AF|=4,求点A 的坐标；(2) 已知T(t ，0)是x 轴上的点，若线段AT 的最小值为4，求实数t 的值；(3) 如图, 已知 y A =2,点M 、N 在抛物线C 上，满足. AM ⊥AN,作 AD ⊥MN,，D 为垂足. 问：是否存在定点Q ，使得|DQ|为定值? 若存在，求出点Q 坐标以及|DQ|的值； 若不存在，说明理由.xOy21. (本题满分18分，第1小题满分4分，第2小题满分6分，第3小题满分8分)已知定义域均为D的函数y=f(x) , y=g(x),S是R的非空子集. 若对任意x₁,x₂∈D,当x₁−x₂∈S时，总有f(x₁)−g(x₂)∈S,则称y=f(x)是y=g(x)的一个“S关联函数”.(1) 求y=2ˣ的所有{1}关联函数；(2) 若y=x2−ln x+mx是其自身的一个(0，+∞)关联函数，求实数m的取值范围；(3) 对定义在R上的函数y=g(x), 证明:“g(x)=g(0)+x对一切x∈R恒成立”是“存在函数.y=f(x),使得对任意正整数n, y=f(x)是y=g(x)的一个[1n+1,1n]关联函数”的充要条件.。