2016年河南郑州市高三第二次模拟英语试题及答案

2016届河南省郑州市高三第二次模拟考试数学（理）试题一、选择题1．已知集合{}4-==x y x A ，{}0121≤-≤-=x x B ，则=B A C U （ ） A ．),4(+∞ B ．]21,0[ C ．]4,21( D ．]4,1( 【答案】B【解析】试题分析：所以。

【考点】本题主要考查集合的关系．2．命题“00≤∃x ，使得020≥x ”的否定是（ ）A ．0,02<≤∀x xB ．0,02≥≤∀x xC ．00>∃x ，020>xD ．00<∃x ，020≤x【答案】A.【解析】试题分析：根据特称命题的否定是全称命题可知选A ，故选A ． 【考点】本题主要考查特称命题的否定． 3．定义运算bc ad d c b a -=,,，则符合条件02,1,=-+ii iz 的复数z 对应的点在（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限【答案】B.【解析】试题分析：由题意得，(1)12[(1)]222i i iz i i i zi -+--+⇒==--，∴1122z i =-+，故在第二象限，故选B ．【考点】本题主要考查复数的计算与复平面的概念．4．某程序框图如图所示，则该程序运行后输出的值是（ ）A ．2014B ．2015C ．2016D ．2017 【答案】D.【解析】试题分析：分析程序框图可知，当i 为偶数时，2017S =，当i 为奇数时，2016S =，而程序在0i =时跳出循环，故输出2017S =，故选D ． 【考点】本题主要考查程序框图．5．曲线3)(3+-=x x x f 在点P 处的切线平行于直线12-=x y ，则P 点的坐标为（ ） A ．)3,1( B ．)3,1(- C ．)3,1(和)3,1(- D ．)3,1(- 【答案】C.【解析】试题分析：2'()31f x x =-，令'()2f x =，23121x x -=⇒=或1-，∴(1,3)P 或(1,3)-，经检验，点(1,3)，(1,3)-均不在直线21y x =-上，故选C ． 【考点】本题主要考查导数的运用．6．经过点)1,2(，且渐近线与圆1)2(22=-+y x 相切的双曲线的标准方程为（ ）A ．11131122=-y x B ．1222=-y x C ．11131122=-x y D ．13111122=-x y 【答案】A.【解析】试题分析：设双曲线的方程为221(0)mx ny mn +=<，其渐近线方程为y =， ∵渐近线方程与圆22(2)1x y +-=13m n =⇒=-①，又∵双曲线过点(2,1)，∴41m n +=②，联立①②，可得311111m n ⎧=⎪⎪⎨⎪=-⎪⎩，∴双曲线的标准方程为22111113x y -=，故选A ． 【考点】本题主要考查双曲线的标准方程与直线与圆的位置关系． 7．将函数)22sin()(π-=x x f 的图象向右平移4π个单位后得到函数)(x g ，则)(x g 具有性质（ ）A ．最大值为1，图象关于直线2π=x 对称B ．在)4,0(π上单调递减，为奇函数C ．在)8,83(ππ-上单调递增，为偶函数 D ．周期为π，图象关于点)0,83(π对称 【答案】B.【解析】试题分析：由题意得，()sin[2()]sin(2)sin 242g x x x x πππ=--=-=-， A ：最大值为1正确，而()02g π=，不关于直线2x π=对称，故A 错误；B ：当(0,)4x π∈时，2(0,)2x π∈，满足单调递减，显然()g x 也是奇函数，故B 正确；C ：当3(,)88x ππ∈-时，32(,)44x ππ∈-，不满足单调递增，也不满足偶函数，故C 错误；D ：周期22T ππ==，3()8g π=，故不关于点3(,0)8π对称，故选B ． 【考点】本题主要考查三角函数的图象变换与三角函数的性质．8．设数列{}n a 满足3,121==a a ，且11)1()1(2+-++-=n n n a n a n na ，则20a 的值是（ ） A ．514B ．524C ．534D ．544 【答案】D.【解析】试题分析：∵112(1)(1)n n n na n a n a -+=-++，∴数列{}n na 是以11a =为首项，2125a a -=为公差的等差数列，∴202024420151996455a a =+⋅=⇒==，故选D ． 【考点】本题主要考查数列的通项公式．9．如图是正三棱锥ABC V -的正视图、侧视图和俯视图，则其侧视图的面积是（ ）A ．4B ．5C ．6D ．7 【答案】C.【解析】试题分析：由三视图可知，正三棱锥的侧棱长为4，底面边长为h ==162S =⨯=，故选C ．【考点】本题主要考查空间几何体的三视图．10．已知定义在R 上的奇函数)(x f y =的图象关于直线1=x 对称，当01<≤-x 时，)(log )(21x x f --=，则方程021)(=-x f 在)6,0(内的零点之和为（ ） A ．8 B ．10 C ．12 D ．16 【答案】C.【解析】试题分析：∵奇函数()f x 关于直线1x =对称，∴()(2)()f x f x f x =-=--， 即()(2)(4)f x f x f x =-+=+，∴()f x 是周期函数，其周期4T =，又∵当[1,0)x ∈-时，12()log ()f x x =--，故()f x 在(0,6)上的函数图象如下图所示，∴可知方程1()02f x -=在(0,6)的根共有4个，其和为123421012x x x x +++=+=，故选C ．【考点】本题主要考查函数与方程．11．对]2,0[,∈∈∀n R α，向量)sin 3,cos 32(αα-+=n n 的长度不超过6的概率为（ ） A ．105 B ．1052 C ．1053 D ．552 【答案】C. 【解析】试题分析：||c ===，∴要使||6c ≤对任意R α∈都成立，6≤成立即可，即25936n n ++≤⇒≤ 又∵[0,2]n ∈，∴05n ≤≤，故所求概率为0520=-A ． 【考点】本题主要考查平面向量的模长与几何概型．12．已知C B A ,,为ABC ∆的三个内角，向量m 满足26=，且)2c o s ,2s i n 2(CB C B -+=，若A 最大时，动点P成等差的最大值是（ ）A ．332 B ．322 C ．42 D ．423 【答案】A.【解析】试题分析：m ===， ∴222313cos2cos [0,1]cos 222424B C A A -=-∈⇒≤≤，又∵(0,)22A π∈，∴12cos 22262333A A A ππππ≤≤⇒≤≤⇒≤≤，故A 的最大值为23π，取到最大值时6B C π==，又∵||PB ，||BC ，||PC 成等差数列，∴2||||||BC PB PC =+ ，故P 点的轨迹是以B ，C 为焦点的椭圆，如下图所示建立平面直角坐标系，不妨设2AB AC ==，∴22||a BC a ==⇒=c =3b ，∴椭圆的标准方程是221129x y +=，∴||P A =4==≤，当且仅当3y =-时，等号成立，∴max ||()||PA BC ==A ． 【考点】本题主要考查：1.三角恒等变换；2.椭圆的标准方程及其性质；3.函数最值．二、填空题13．已知{}n a 为等差数列，公差为1，且5a 是3a 与11a 的等比中项，n S 是{}n a 的前n 项和，则12S 的值为_____. 【答案】54.【解析】试题分析：由题意得，2253111111(4)(2)(10)1a a a a a a a =⇒+=++⇒=-，∴12121112(1)1542S ⋅=⋅-+⋅=，故填：54. 【考点】本题主要考查等差数列与等比数列的性质及其运算．14．已知正数y x ,满足0322=-+xy x ，则y x +2的最小值是_______. 【答案】3. 【解析】试题分析：由题意得，232x y x-=，∴223333122()3222x x x y x x x x x-++=+==+≥，当且仅当1x y ==时，等号成立，故填：3. 【考点】本题主要考查基本不等式求最值.15．已知y x ,满足⎪⎩⎪⎨⎧≤--≤+≥0242m y x y x x ，若目标函数y x z +=3的最大值为10，则z 的最小值为______. 【答案】5.【解析】试题分析：如下图所示，画出不等式组所表示的区域，作直线l ：30x y +=，平移l ，从而可知取到最大值时，310341x y x x y y +==⎧⎧⇒⎨⎨+==⎩⎩，∴23105m m ⋅--=⇒=，∴当2x =，2251y =⋅-=-时，min 3215z =⋅-=，故填：5.【考点】本题主要考查线性规划．16．在正三棱锥ABC V -内，有一半球，其底面与正三棱锥的底面重合，且与正正三棱锥的三个侧面都相切，若半球的半径为2，则正三棱锥的体积最小时，其高等于______.【答案】【解析】试题分析：由题意，设侧棱长为a ，底面边长为b ，∴211132332V ABC V -==⨯⨯，化简可得4222363(48)b b a b -=-， ∴113232V ABCV -=⨯⨯==， 令2480b t -=>，3(48)()t f t t+=，∴23223(48)(48)2(48)(24)'()t t t t t f t t t +-++-==，故可知min ()(24)f t f =，即当22482472b b -=⇒=时，三棱锥体积取到最小值，此时高422236363(48)b b a b -==-，h === 【考点】本题主要考查球的性质与导数的运用．17．如图，在梯形ABCD 中，CD AB ∥，1===CB DC AD ， 120=∠BCD ，四边形BFED 为梯形，平面⊥BFED 平面ABCD ，1=BF .（1）求证：⊥AD 平面BFED ；（2）求点P 在线段EF 上运动，设平面PAB 与平面ADE 所成锐二面角为θ，试求θ的最小值.【答案】（1）证明详见解析；（2）.【解析】 试题分析：本题主要考查线面垂直的判定与性质、二面角的求解等基础知识，考查学生的分析问题解决问题的能力、空间想象能力、逻辑推理能力、计算能力. 第一问，在ABD ∆中，利用余弦定理可推出222AB AD BD =+，由勾股定理得AD BD ⊥，又由面面垂直的性质得DE DB ⊥，所以由线面垂直的判定定理得到结论；第二问，建立空间直角坐标系，先计算出平面PAB 和平面ADE 的法向量，再由夹角公式计算cos θ，最后利用配方法求最值. 试题解析：（1）在梯形中，∵∥，∴∴∴∴∵平面平面平面平面，∴∴又∴（2）由（1）可建立分别以直线为轴，轴，轴的，如图所示的空间直角坐标系，令（≤≤）,则∴设为平面的一个法向量，由得取则∵是平面的一个法向量,∴∵≤≤,∴当=时，有最大值．∴的最小值为【考点】本题主要考查：1.线面垂直的判定与性质；2.二面角的求解.三、解答题18．在A B C ∆中，角C B A ,,所对的边分别为c b a ,,，且满足)3s i n ()3s i n (22c o s 2c o s C C A C -+=-ππ.（1）求角A 的值；（2）若3=a 且a b ≥，求c b -2的取值范围.【答案】（1）；（2）.【解析】试题分析：本题主要考查正弦定理、余弦定理、三角恒等变换等基础知识，考查学生的分析问题解决问题的能力、转化能力、计算能力. 第一问，先利用倍角公式和两角和与差的正弦公式将已知变形，可化简出，即可求出角A 的大小；第二问，利用正弦定理将b 和c 转化成角，利用两角和的正弦公式化简表达式，再由角B 的范围求值域.试题解析：（1）由已知得，化简得，故．（2）由正弦定理，得，故因为，所以，，所以．【考点】本题主要考查：1.正余弦定理解三角形；2.三角恒等变换.19．为了解人们对于国家新颁布的“生育二胎放开”政策的热度，现在某市进行调查，（1）由以上统计数据填下面2乘2列联表，并问是否有的把握认为以岁为分（2）若对年龄在)45,35[),15,5[的的被调查人中各随机选取两人进行调查，记选中的4人不支持“生育二胎”人数为ξ，求随机变量ξ的分布列及数学期望. 参考数据：))()()(()(22d b c a d c b a bc ad n K ++++-=【答案】（1）没有把握；（2）分布列详见解析，45E ξ=. 【解析】试题分析：本题主要考查独立性检验、离散型随机变量的概率的分布列和数学期望等基础知识，考查学生的分析问题解决问题的能力、转化能力、计算能力.第一问，先根据题目中出现的数据填写列联表，再由2k 的公式计算，最后与表中的数据作比较判断出结论；第二问，先分析出ξ的所有可能取值，再分别计算出概率，列出分布列后，利用11n n E P P ξξξ=++ 计算数学期望. 试题解析： （Ⅰ）2乘2列联表＜所以没有99%的把握认为以45岁为分界点对“生育二胎放开”政策的支持度有差异． （Ⅱ）所有可能取值有0, 1,2,3,所以的分布列是所以的期望值是考点: 本题主要考查：1.独立性检验；2.离散型随机变量的概率分布及其期望. 20．已知曲线C 的方程是)0,0(122>>=+n m ny mx ，且曲线C 过点)33,66(),22,42(B A 两点，O 为坐标原点. （1）求曲线C 的方程；（2）设),(),,(2211y x N y x M 是曲线C 上两点，且ON OM ⊥，求证：直线MN 恒与一个定圆相切.【答案】（1）2241y x +=；（2）证明详见解析.【解析】试题分析：本题主要考查椭圆的标准方程及其性质、直线与椭圆的位置关系、椭圆中的定值问题等基础知识，考查学生的分析问题解决问题的能力、转化能力、计算能力. 第一问，由曲线C 过A,B 两点，知A,B 在曲线上，代入方程中，解方程组即可；第二问，数形结合得出点O 到直线MN 的距离为||||||OA OB d AB =，用坐标关系代换得到5d =，所以可得到直线恒与定圆相切.试题解析：（1）由题可得：解得所以曲线方程为．（2）由题得：原点到直线的距离由得：所以=所以直线恒与定圆相切。

2017年初中毕业年级适应性测试英语评分标准与细则一、听力理解（20小题，每小题１分，共20分）1-5. B A C C B 6-10. C B A B B 11-15. B A C C B 16-20. B C E A D二、单项选择（15小题，每小题1分21-25. D B D A C 26-30. B A B B C 31-35. C D B B A三、完形填空（10小题，每小题1分，共10分）36-40. B D A C D 41-45. A B A D A四、阅读理解（20小题，每小题2分，共40分46-50. C A A B D 51-55. A C D C D 56-60. B D C D A 61-65. B D C A E五、词语运用（10小题，每小题1分，共10分）66. happiness 67. as 68. more 69. shirts 70. them 71. also 72. and 73. miss 74. like 75. loved六、补全对话（5小题，每小题2分，共10分）76. I’m fine. / Pretty good. ...77. What did you do during the holiday? / How did you spend your holiday?/ Where did you go during the holiday?/ What about you? …78. What will you do there? / What are you going to do in Qingdao? …79.Are you good at swimming?/ Is swimming your favorite sport? / Can you swim well? / Do you like swimming very much? …80. How long will you stay there? …七、书面表达（15分）One possible version:My first trip abroadLast summer, I went to Thailand with my parents. It was my first trip abroad.First, we visited some places of interest in Bangkok. Then we tried different local snacks at the night market. They were so delicious that I couldn’t help eating a lot. What impressed me most was the elephant show. How cute and clever the elephants were!My first trip abroad not only opened up my minds to the outside world but also offered me sweet memories. I am looking forward to going on another trip soon.。

郑州市2021年九年级英语第二次模拟考试试卷二、单项选择。

〔15小题，每题1分，共15分〕( )21. What lovely weather ! Let’s go out for walk.A. x，aB. the，xC.a，xD. a，themy teacher,Miss Li. I couldn't work it out her help.A. for, withoutB. to, withoutC. for, withD. to, with( )23.-Oh, my God! I can put on my coat. -You must be than before.A. nearly, fatterB. nearly, thinnerC. hardly, fatterD. hardly, thinner( )24.People will easily lose their way in Beijing they have a map or a guide.A. unlessB. ifC. becauseD. when( )25.He the Great Wall when it rained heavily.A. was visitingB. am visitingC. visitD. visits( )26. Jenny often helps do some housework at home. Her parents are what she does.A. strict withB. angry withC. famous forD. satisfied with( )27. -I need a pen to write down the address. -A pen? OK, I'll get for you.A. itB. thatC. oneD. them( )28. -Shall we tell Peter about it? -No, you . I've told him already.A. mustn'tB. needn'tC. can'tD. shouldn’t( )29. Memorial Ceremony to Ancestor in Huang Di's Native Place on April 21st in Xinzheng,Zhengzhouevery year.A. is heldB. will be heldC. will holdD. holds( )30. -How long you this? -Since8：30 this morning.A. have; been doneB. did ;doC. have ;been doingD. were;doing( )31.You'd better football on the street, boys. It’s dangerousA. not to playB. not playingC. don't playD. not play( )32. Is there anything you can’t understand? You can ask me for help.A.whatB. whichC.that D . where( )33.You’d better look at the carefully if you don’t know how to use his new machine.A. information B…preparation …….C. competition D. instruction( ) 34. I'm not sure if he when he free.A. will come, will beB. will come, isC. comes, isD. would come, would be( )35. -Could you tell me ? -Yes. They to the library.A. where are they, have beenB. where were they, have beenC. where they are, have goneD. where they were, have gone三、完形填空。

河南省郑州市九年级英语上学期期末试卷分类汇编--词语运用河南省郑州市2019-2020学年九年级第二次质量预测英语试题四、语篇填空(共两节。

第一节10小题，第二节5小题；每小题1分，共15分)第一节阅读短文，从方框中选择适当的词并用其正确形式填空，使短文通顺，意思完整。

每空限填一词，每词限用一次。

请将答案填写在答题卡相应的位置上。

Before I went to Chiang Rai, I had been traveling around Thailand with six of my friends. We had a 1. time. But while I had decided to stay in Thailand for another week, my friends all had to 2. home on the seventh day.Seeing my friends off at the airport, I somehow felt a little sad. The three-hour bus ride from Chiang Mai to Chiang Rai 3. painful. The thought of being alone filled my mind because it was the 4. time that I had ever been all alone while traveling abroad. I tried lo forget it by looking out of the window to watch the beautiful countryside.After I arrived at Chiang Rai, I got off the 5. and looked around. There was no taxi in sight. I had no idea how I could go to my hotel.I was 6. the look of worry showed on my face. Before I knew it, a police officer had flagged down a taxi for me. A smile came across my face at the 7. of this stranger. And as I climbed into the taxi, the driver offered to drive for free. The hotel I had booked, he said, was 8. around the corner.As I walked into the hotel, I was greeted with beautiful smiles.A friendly hotel worker 9. with me while leading me to my comfortable room.Sitting alone in my room, I started to plan my trip around Chiang Rai. 10. , I realized that I no longer I felt nervous. I took a good rest and started off the next morning with a smile on my face.第二节阅读短文，根据语篇要求填空，使短文通顺、意思完整。

郑州市2023 年高中毕业年级第二次质量预测英语试题卷本试卷分四部分，考试时间120 分钟，满分150 分（听力成绩算作参考分）。

考生应首先阅读答题卡上的文字信息，然后在答题卡上作答，在试题卷上作答无效。

第二部分阅读理解（共两节，满分40 分）第一节（共15 小题；每小题2 分，满分30 分）阅读下列短文，从每题所给的A、B、C 和D 四个选项中，选出最佳选项，并在答题卡上将该项涂黑。

AHigh school programs at the National Gallery of Art value depth over breadth, exploring original works of art through a single specific question or theme.Studio WorkshopsSingle museum visit, 2.5 hoursGrades 9-12These half-day art workshops include an in-depth examination and discussion of works of art in the galleries, followed by behind-the-scenes access to the Education Studio, where students create a related art project.National Gallery of Art educators will encourage students to look carefully at works of art and then share their responses and come up with theories based on their observations.Students will have the chance to create a work of art in the studio inspired by what they have seen in the galleries.Museum MakersExploring Art and MuseumsGrades 11-12The Museum Makers program explains how museums operate and what they have to offer. It gives upper-level high school students the tools to experience, understandand interpret art. Participants will gain an insider's view of how an art museum works.Students meet for seven Saturday sessions from 10:00 a.m. to 3:00 p.m. Completion of the program requires attendance of all seven sessions.Creative WritingGrades 7-12, 90 minutesStudents will provide a voice for their personal responses to art through creative writing while they are looking at a selection of artworks in the galleries. Using close observation, group discussion and personal reflection, they will be guided through exercises that use different writing forms, including free-form poetry.A maximum of 30 students ( minimum of 15) will be accepted at each session.21.What can students do at Studio Workshops?A.Get basic training as an artist.B.Put forward their own art theories.C.Discuss with artists about their works.D.Learn about artists, inspiration for their works.22.What can students get from Museum Makers?A.Methods of how artworks are created.B.Experience in running an art museum.C.Knowledge about how an art museum works.D.Academic credits for completing the program.23.Which group can attend Creative Writing at a session?A.15 college students.B. 10 Grade 9 students.C. 25 Grade 10 students.D. 40 high school students.BI never imagined that someone telling me I looked skinny would anger me. And yet, I was made very angry when a colleague pinched （捏）my waist and screamed, “Rosa, you've lost weight. You look great In The truth is that I was tired and not taking care of myself. I decided to start a proper weight-loss program.The first to go would be road rage （路怒）.I am in far less control of this weight than any other. Every time something gets in my path, I fly off the handle. I need to lose the road rage, and fast! No, no more speed. Instead, I now repeat the words："I am not in a hurry. " This year, I will drive safely, allowing "stupid" to happen all aroundme. From that, I hope to gain patience.Next is guilt. When guilt drives my conscience to do better, it's functional. But when it presents itself as an internal dialogue that goes nowhere, it's useless. This year, I want to stop feeling guilty for not keeping a cleaner house, for spending time away from my children to be with friends, for not attending every party because I’d rather be at home, or for watching TV when I should be reading. My image and performance are not at the front of anyone else’s mind but my own. From this, I hope to gain freedom to be myself.The last is fear. Fear has held me back. Fear of failure has prevented me from being a writer. Fear of embarrassment has prevented me from giving an opinion. Fear of rejection has stopped me from aiming higher in my life. Fear of regret has led me into situations that made me uncomfortable. If I can lose any one of these fears, I stand to gain experience.So, if I can lose the rage, shake off some guilt, and take fear off my plate, I stand to gain patience, freedom, and experience. Pound for pound I have not lost a thing but I will be much lighter. Next time, I hope my colleague looks me in the eye to see my glow instead of pinching part of me that has nothing to do with how great I really look.24.What does the underlined part “fly off the handle” in paragraph 2 probably mean?A.Pick up speed.B. Drive off.C. Feel quite nervous.D. Become very angry.25.What has made the author feel guilty before?A.Attending too many parties.B.Reading much with her children.C.Wasting her time in watching TV.D.Spending little time with her friends.26.How has fear affected the author?A.It has prevented her achieving her goals.B.It has stopped her furthering her education.C.It has made it difficult for her to make friends.D.It has caused her to quit her dream of being a teacher.27.What does the author expect to gain from her weight-loss program?A.Respect.B. Independence.C. Optimism.D. Tolerance.CSix months before she died, my grandmother moved into an old people's home and I visited her there. The room was clean and warm, and the care assistants were kind and cheerful. A general knowledge quiz show was on the television, and the only other sound was snoring （打呼噜）.People moved only when they needed to be helped to the bathroom. It was disappointing. Grandmother talked a lot about how much she missed seeing her grandchildren, but I knew from my sister that they hated going to visit her there.So I was interested to read a newspaper article about a new concept in old people's homes in France. The idea is simple, but revolutionary - combining a residential home for the elderly with a nursery school in the same building. The children and the residents eat lunch together and share activities. In the afternoons, the residents enjoy reading or telling stories to the children, and if a child is feeling sad or tired, there is always a kind lap to sit on.The advantages are huge for everyone concerned. The children are happy, because they get a lot more individual attention. The residents are happy because they feel useful and needed. And the staff are happy because they see an improvement in the physical and psychological health of the residents and have an army of assistants to help with the children.Nowadays there is less and less contact between the old and the young in an increasing number of countries. There are many reasons for this, including the breakdown of the extended family, working parents with no time to care for ageing relations, families that have moved away, and smaller flats with no room for grandparents. But the result is the same - increasing numbers of children without grandparents and old people who have no contact with children, and more old people who are lonely and feel useless, along with more and more families with young children who desperately need more support. Ifs a major problem in many societies.That's why intergenerational programs, designed to bring the old and the young together, are growing in popularity all over the world.28.What does the underlined word "residents" in paragraph 2 probably refer to?A.Old people.B. School teachers.C. Assistants.D. Staff.29.How were the old people at the home the author's grandmother was in?A.They felt lonely and useless.B.They weren't allowed to be visited.C.They weren't looked after properly.D.They lived in a dirty and uncomfortable room.30.What does the author think is a major problem in many societies today?A.The extended family is broken down.B.There isn't much room for grandparents.C.Working parents have no time to care for their children.D.There isn't much contact between the old and the young.31.What will be probably talked about later in the passage?A.Advice on how to communicate with children.B.Plans for setting up more homes for old people,C.Examples of successful intergenerational programs.D.Ways of teaching entertainment skills to old people.DMicroplastic pollution is increasing greatly around the globe, according to a study of plastic particles （微粒）carried in the air.People are already known to breathe, drink and eat microplastics, and research suggests that pollution levels will continue to rise rapidly. The researchers said that breathing in these particles can be harmful to lung tissue and lead to serious diseases.Professor Natalie Mahowald, at Cornell University in the US and part of the research team, said, " But maybe we could solve this before it becomes a huge problem, if we manage our plastics better, before they accumulate in the environment and move around everywhere."The research, published in the journal Proceedings of the National Acadenry of Sciences, examined airborne （空气传播的）microplastics, which have been far less studied than plastics in oceans and rivers.The team gathered more than 300 samples of airborne microplastics from 11 s ites across the western US. These were the basis for atmospheric modeling that estimated the contribution from different sources （来源）,and it was the first such study to do so.They found that roads were the main factor （因素）in the western US, linked to about 85% of the microplastics in the air. These are likely to include particles from tiresand brake pads on vehicles, and plastics from litter that had been broken down.The researchers extended their modeling work to a global level and this suggested that while roads are also likely to be the major driver of airborne plastics in Europe, South America and Australia, plastic particles blown up from fields may be a much bigger factor in Africa and Asia.Professor Andreas Stohl of the University of Vienna's Faculty of Earth Sciences said, “The study confirms the global-scale （全球规模的）nature of microplastic transport in the atmosphere and does a good job in highlighting highly relevant and concerning possibilities, but more measurement data is needed to get a better idea of the sources.”32.What can be known about microplastic pollution from this text?A.The particles can do great harm to our lungs.B.Airborne microplastics have been widely studied.C.It has become the most pressing environmental problem.D.There is less plastic in the air than in oceans and rivers.33.What did the researchers find out about microplastic pollution?A.Its results differ across many continents.B.Africa and Asia are suffering most from it.C.Roads and fields are largely to blame for it.D.It spreads fast from one continent to another.34.What should the researchers do next according to Professor Andreas Stohl?A.To predict the potential damage of microplastics.B.To understand the nature of microplastic pollution.C.To improve the method of collecting samples of microplastics.D.To collect more data to understand the sources of microplastics.35.What can be the best title for this text?A.Effects of microplastics on human healthB.Microplastic pollution on the global scaleC.Possible solutions to microplastic pollutionD.Microplastic pollution rising quickly in the air第二节（共5 小题；每小题2 分，满分10 分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项,并在答题卡上将该项涂黑。

2023届河南省郑州市高中毕业年级第二次质量预测英语试题一、听力选择题1.A．In a language lab.B．In a health center.C．In a museum.D．In a bookstore.2. What are the speakers mainly talking about?A．An accident.B．A restaurant.C．A cook.3. How will the woman probably go to the City Library?A．By bike.B．By car.C．By bus.4. When does the bookshop close probably?A．At 5:15.B．At 5:30.C．At 6:00.5. What will the man do today?A．Meet his friends.B．Clean his room.C．Go boating.二、听力选择题6. 听下面一段较长对话，回答以下小题。

1. Who needs to be nursed in the man’s family?A．His wife.B．His mom.C．His kid.2. Why is someone in her forties preferable?A．She likes taking care of old people.B．She can live with the man’s mother.C．She is more patient and experienced.3. How much is a live-in nursing worker’s monthly salary at least?A．3,400 dollars.B．4,300 dollars.C．5,000 dollars.4. What will the man probably do next?A．Check the workers.B．Fill out a form.C．Meet a nursing worker.7. 听下面一段较长对话，回答以下小题。

郑州市2023年高中毕业年级第二次质量预测英语参考答案一、选择题（1–60）：1.B2.A3.B4.A5.C6.C7.A8.B9.C 10.B 11.C 12.A 13.B 14.A 15.A 16.B 17.A 18.B 19.B 20.C 21.B 22.C 23.C 24.D 25.C 26.A 27.C 28.A 29.A 30.D 31.C 32.A 33.C 34.D 35.D 36.A 37.B 38.G 39.E 40.F 41.D 42.B 43.A 44.C 45.B 46.A 47.C 48.D 49.A 50.B 51.C 52.A 53.B 54.B 55.D 56.A57.D 58.B 59.C 60.B二、语言知识运用第二节（61–70）：61. has amazed 62. collected 63. fundamentally 64. than 65. is 66. what 67. meaning 68. to 69. problems 70. various / varied三、短文改错：The other day my parents and I took ∧trip to Emei Mountain in Sichuan. As is known, it’s71. aa famous mountain with different kind of plants and animals. The weather was fine and we were72. kindson high spirits. It was about noon while we arrived at the foot of the mountain. We were very 73. in 74. whenexcited. As we climbed the mountain, we feed monkeys, visited temples and told stories. On the75. fedway up, I was busy took photos since the scenery was beautiful and attractively. Time passed76. taking 77. attractivequickly, and before we knew it, night has fallen. We spent the night in a hotel at the top of the78. hadmountain. The food was expensive and the service was good. I was so tired that I fell asleep the79. butmoment my head touched at the pillow.80四、书面表达：The Power of SportsSports benefit us in many aspects. When taking part in sports, we get the chance to train almost all parts of our bodies. There is no doubt that sports can keep our physical fitness, and thus enrich our life and maintain our psychological health. Sports can also promote social changes by providing a platform for important issues to be addressed.Besides, sports have a unique power to bring people together and inspire greatness. Through participation, everyone can learn that on the playground they not only struggle for themselves but also fight for their dreams and teams. The spirit of sports connects people of different nations and colors for a shared future, making the world a better place.评卷细则一、机器阅卷部分（共100分）1–20题，共20小题，每小题1.5分，共计30分（不计入总分）。

2016年郑州市高中毕业年级第二次质量预测一、选择题（共12小题；共60分）1. 已知复数（是虚数单位），则的虚部为A. B. C. D.2. 对于任意实数，表示不超过的最大整数，如，．定义在上的函数，若，则中元素的最大值与最小值之和为A. B. C. D.3. “”是“直线与直线垂直”的A. 充要条件B. 充分不必要条件C. 必要不充分条件D. 既不充分也不必要条件4. 已知甲、乙两组数据如茎叶图所示，若它们的中位数相同，平均数也相同，则图中的，的比值A. B. C. D.5. 将函数的图象向左平移个单位长度后，所得到的图象关于原点对称，则的最小值是A. B. C. D.6. 已知双曲线的一个焦点与抛物线的焦点重合，其一条渐近线的倾斜角为，则该双曲线的标准方程为A. B. C. D.7. 已知，，分别为三个内角，，的对边，且，则角的大小为A. B. C. D.8. 执行如图所示的程序框图，输出的值是A. B. C. D.9. 若正数，满足，则的值为A. B. C. D.10. 如图是一个几何体的三视图，则这个几何体外接球的表面积为A. B. C. D.11. 已知函数．函数恰有三个不同的零点，则实数的取值范围是A. B. C. D.12. 已知椭圆的两焦点分别是，，过点的直线交椭圆于，两点，若，且｜｜｜｜，则椭圆的离心率为A. B. C. D.二、填空题（共4小题；共20分）13. 设等比数列的前项和为，若，则．14. 如图，是可导函数，直线：是曲线在处的切线，令，其中是的导函数，则．15. 已知实数，满足设，若的最小值为，则的最大值为．16. 如图，在矩形中，，为边的中点，将沿直线翻折成．若为线段的中点，则在翻折的过程中，正确的命题是．①是定值；②点在某个球面上运动；③存在某个位置，使；④存在某个位置，使 平面．三、解答题（共8小题；共104分）17. 已知数列的前项和为，且．（1）求数列的通项公式；（2）设，求使对任意恒成立的实数的取值范围．18. 最新高考改革方案已在上海和江苏开始实施，某教育机构为了解我省广大师生对新高考改革方案的看法，对某市部分学校名师生进行调查，统计结果如下：在全体师生中随机抽取名“赞成改革”的人是学生的概率为，且．（1）现从全部名师生中用分层抽样的方法抽取名进行问卷调查，则应抽取“不赞成改革”的教师和学生人数各是多少?（2）在（）中所抽取的“不赞成改革”的人中，随机选出三人进行座谈，求至少有一名教师被选出的概率．19. 如图，已知三棱柱侧棱垂直于底面，，，点，分别为和的中点．（1）证明： 平面；（2）设，当为何值时，平面，试证明你的结论．20. 设椭圆，，为左右焦点，为短轴端点，且，离心率为，为坐标原点．（1）求椭圆的方程；（2）是否存在圆心在原点的圆，使得该圆的任意一条切线与椭圆恒有两个焦点，，且满足?若存在，求出该圆的方程，若不存在，说明理由．21. 已知函数，其中为常数．（1）当时，若在区间上的最大值为，求的值．（2）当时，若函数存在零点，求实数的取值范围．22. 如图，已知圆是的外接圆，是边上的高，是圆的直径．过点作圆的切线交的延长线于点．（1）求证：；（2）若，，求的长．23. 在直角坐标系中，曲线的参数方程为为参数，若以直角坐标系中的原点为极点，轴的正半轴为极轴建立极坐标系，曲线的极坐标方程为（为参数）．（1）求曲线和的直角坐标方程；（2）若曲线与曲线有公共点，求的取值范围．24. 已知函数．（1）解不等式．（2）已知，若恒成立，求实数的取值范围．答案第一部分1. C 【解析】复数的虚部是．2. A 【解析】因为表示不超过的最大整数，，当时，，，，；当时，，，，；当时，，，，；当时，，，，；当时，，，，；当时，，，，；当时，，，，；当时，，，，；所以中所有的元素为：，，，，，，，；所以中元素的最大值与最小值之和为：．3. B 【解析】（）时，直线的斜率为，的斜率为，所以这两直线垂直；（）若直线与垂直，则，解得或；所以“直线与直线垂直”不一定得到“”；所以综上得“”是“直线与直线垂直”的充分不必要条件．4. C 【解析】依题意得解得，，因此．5. B【解析】将函数的图象向左平移个单位后得到的曲线关于原点对称，于是有，即，其中，因此正数的最小值是．6. B 【解析】设双曲线的方程为，则有解得，，因此双曲线的方程为．7. A 【解析】依题意，由正弦定理得，即，由余弦定理得，，．8. D 【解析】依题意得执行程序框图，最后输出的的值等于数列的前项和；又因为数列是以为最小正周期的数列，且前项和等于零，且第项与第项分别等于，，又因为，因此数列的前项和等于，即最后输出的的值等于．9. C 【解析】设，所以，，，，所以，．10. C【解析】依题意得该几何体是一个底面为正方形的四棱锥（底面边长为），顶点在底面上的射影是棱的中点，且．又因为底面正方形的中心到该正方形的四个顶点的距离等于，且，因此其外接球的半径等于，该球的表面积等于．11. D 【解析】解法一由题意知．因为恰有三个不同的零点，所以，当时，有一个解，由得．由得或，由得．综上，实数的取值范围为．解法二利用排除法，在同一平面直角坐标系内作出函数，的图象和直线．如图所示．由图可知，当时，直线与在上有一个交点，当时，直线与的图象在上有两个交点，由于函数恰有三个不同的零点，即函数的图象与直线恰有三个交点，故．12. A 【解析】由题意得｜｜｜｜，｜｜，｜｜．．取的中点，连接，则，，所以化简得，所以（舍去），，即椭圆的离心率为．第二部分13.【解析】设等比数列的首项为，公比为，由，得，即，所以．14.【解析】由题图可得曲线在处切线的斜率等于，即，因为，所以，，由图可知，所以．15.【解析】依题意，在坐标平面内画出题中的不等式组表示的平面区域及直线，若直线经过该平面区域内的点时，取得最小值，则直线必经过直线与直线的交点，于是有．平移直线到经过该平面区域内的点时，相应直线在轴上的截距达到最大，此时取得最大值．16. ①②④【解析】取的中点，连接，，如图，则有，且，又，且，因此，且，所以四边形是平行四边形，，且，又因为的大小不发生变化，因此是定值，是定值，点位于以点为球心、为半径的球面上， 平面，①②④正确．若③正确，即，因为，所以平面，，这与“在等腰直角三角形中，”相矛盾，所以与不可能垂直，③不正确．综上所述，其中正确的命题是①②④．第三部分17. （1）因为，所以，时，．当时，．所以数列是以为首项，公比为的等比数列，所以．（2）．若对任意恒成立，即实数对任意恒成立．设，则当或时，取得最小值，为，所以．18. （1）由题意得，所以，所以，因为，所以，，则应抽取教师的人数为，应抽取学生的人数为．（2）所抽取的“不赞成改革”的名教师记为，，名学生记为，，，，随机选出三人的不同选法有（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），共种，至少有一名教师的选法有（），（），（），（），（），（），（），（），（），（），（），（），（），（），（），（）共种，则至少有一名教师被选出的概率．19. （1）取的中点，连接，，因为，分别为和的中点，所以，，又因为平面，平面，所以 平面， 平面，又因为，所以平面 平面，因为平面，所以 平面．（2）连接，设，则，由题意知，，因为三棱柱的侧棱垂直于底面，所以平面平面，因为，点是的中点，所以平面，所以，要使平面，只需即可，所以，即，解得，则当时，平面．20. （1）因为椭圆，由题意得，，，所以椭圆的方程为．（2）假设存在圆心在原点的圆，使得该圆的任意一条切线与椭圆恒有两个焦点，，且满足，则有，设，，当切线斜率存在时，设该圆的切线方程为，解方程组得，即，则即，所以所以，所以要使，需，即，所以，所以．又，所以所以，即或，因为直线为圆心在原点的圆的一条切线，所以圆的半径，，，所求的圆为，此时圆的切线都满足，或，而当切线的斜率不存在时，切线为，与椭圆的两个交点为或，满足．综上，存在圆心在原点的圆满足条件．21. （1）由题意，令解得，因为，所以，由解得，由解得，从而的单调递增区间为，减区间为，所以，，解得．（2）函数存在零点，即方程有实数根，由已知，函数的定义域为，当时，，所以，当时，；当时，，所以的单调增区间为，减区间为，所以，所以．令，则．当时，；当时，，从而在上单调递增，在上单调递减，所以，要使方程有实数根，只需即可，则．22. （1）连接，由题意知为直角三角形．因为，，所以，所以，即．又，所以．（2）因为是圆的切线，所以，又，，所以，，因为，又，所以，所以，得，，所以，所以．23. （1）由得，又因为，所以曲线的普通方程为．由得，即，所以曲线的直角坐标方程为．（2）若曲线，有公共点，则当直线过点时，满足要求，此时，并且向左下方平行移动直到相切之前总有公共点，相切时仍然只有一个公共点，联立得，，解得．综上所述，的取值范围是．24. （1）不等式．当，，解之得；当时，，解之得；当时，，无解．综上，不等式的解集为．（2）因为．令，则当时，．欲使不等式恒成立，只需，即．又因为，所以，即．。

河南省郑州市外国语高中2024年高三第二次大联考英语试题请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。

第一部分（共20小题，每小题1.5分，满分30分）1．Many memories of old times were by the conversation we had together that evening. A．called up B．turned up C．taken up D．kept up2．What matters in life is working hard ________ hardly working.A．as well as B．less thanC．rather than D．other than3．Frankly, I still feel confused about _________ he could manage without access to the Internet for such a long time. A．what B．why C．that D．how4．The course about Chinese food attracts over 100 students per year, _______ up to half are from overseas.A．in which B．of whomC．with which D．for whom5．The reason why he adapted to the new situations quickly is that he had a ________ attitude.A．changeable B．stable C．movable D．flexible6．Cell phones are now widely used in our daily lives，________________ it possible for us to talk to anyone easily. A．to make B．madeC．make D．making7．The TV station will be ______ the game live on Saturday afternoon, and we can’t miss it.A．covering B．improving C．handling D．canceling8．It is believed that many more popular terms ________ on the Internet this year.A．will be created B．have createdC．are created D．are creating9．If you want to see a doctor，you fix a date with him ahead of time.That is a common ________ in the USA．A．view B．exerciseC．practice D．reality10．_______ you consider that the airline handled 80 million passengers last year, the accident figures are really very small.A．Unless B．WhenC．Before D．Though11．---Can you help me with my English homework? You're a genius.---__________, but I'll try to help you. What's your problem?A．Far from it B．Sounds goodC．By all means D．It's out of question12．her emotion, she buried her face in her hands．A．Controlled B．To control C．Being controlled D．Having controlled13．Everything is amazing. Thank you all. We without your help.A．can’t make it B．mustn’t have madeC．won’t make D．couldn’ t have made it14．He is a bad-tempered fellow, but he ________ be quite charming when he wishes.A．shall B．shouldC．can D．must15．It is said that the only survivor in the car crash was badly injured. However, somehow the doctors managed to help him ______.A．pull through B．put through C．look through D．break through16．He always keeps an eye on shortcomings of his brother’s _________ refusing to admit his own mistakes.A．but B．whileC．although D．though17．To get a slim figure, Fanny has tried many ways, but in vain. So now she is reduced anything for supper.A．to not eating B．not to eatC．not to eating D．to not eat18．During ______ afternoon, the rain became smaller, but towards__________ evening, there was a sudden landslide that buried the village.A．/; the B．the; / C．the; the D．an; the19．People who drink and drive are ________ danger both to themselves and to others. They are in ________ danger of losing their lives.A．the; the B．a; a C．a; / D．/; /20．While interacting with people in India, I was ________ to a way of life completely different from my own.A．reduced B．exposed C．committed D．transferred第二部分阅读理解（满分40分）阅读下列短文，从每题所给的A、B、C、D四个选项中，选出最佳选项。

2023年河南省郑州市高考英语二模试卷第一节听下面5段对话。

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

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1．（1.5分）How long will the woman have to wait for the next bus？A.Three minutes.B.Five minutes.C.Eight minutes.2．（1.5分）What does the woman suggest doing？A.Going for a picnic.B.Leaving early tomorrow.C.Keeping an eye on the weather.3．（1.5分）Where does this conversation probably take place？A.In a car.B.In a store.C.In a post office.4．（1.5分）What will Jack do right now？A.Have a class.B.Book tickets.C.Change his schedule.5．（1.5分）What can the woman eat？A.Fruit.B.Cake.C.Vegetables.第二节听下面5段对话或独白。

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

6．（3分）听材料，回答小题。

（1）Where does the man meet the woman？A.At a travel agency.B.At a hotel.C.At the airport.（2）What does the woman ask the man to do？A.Take her bags.B.Pick her up.C.Book a flight.7．（4.5分）听材料，回答小题。