浙江省名校新高考研究联盟(Z20联盟)2020第三次联考

浙江省名校新高考研究联盟(Z20联盟)2020届高三下学期第三次联考数学试题(wd无答案)一、单选题(★★) 1. 已知全集，集合，则（）A．B．[2，4)C．D．(★★) 2. 椭圆的焦点是（）A．B．C．D．(★★★) 3. 若复数( 为虚数单位)满足，其中为的共轭复数，表示的虚部，则的值为（）A．B．C．1D．(★★) 4. 设，若，则的（）A．最小值为B．最小值为C．最大值为D．最大值为(★★★) 5. 若实数，满足约束条件则的最大值为（）A．B．C．D．(★★★) 6. 函数的图像可能是（）A ．B ．C ．D ．(★★★) 7. 已知数列满足 ， ，则“ ”是“对任意 ，都有”的（）A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件(★★★★) 8. 随机变量 的分布列是（）246A ．B ．C ．D ．(★★★) 9. 已知空间向量两两相互垂直，且 ，若则的取值范围是（）A ．B ．C ．D ．(★★★) 10. 已知函数（ ）命题①：对任意的是函数的零点；命题②：对任意的是函数的极值点.A．命题①和②都成立B．命题①和②都不成立C．命题①成立，命题②不成立D．命题①不成立，命题②成立二、填空题(★★) 11. 大约在2000多年前，由我国的墨子给出圆的概念：“一中同长也”意思是说，圆有一个圆心，圆心到圆周的长都相等，这个定义比希腊数学家欧几里得给圆下定义要早100年，已知为原点，，若，则线段长的最小值为_____________(★★★) 12. 由1，2，3，4，5构成的无重复数字的五位数中，相邻两个数字的差的绝对值不超过2的情况有 _______ 种(用数字作答)(★★★) 13. 函数在区间上的最大值记为，最小值记为.若函数，_______三、双空题(★★) 14. 在二项式的展开式中，系数为有理数的项的个数是_______；二项式系数最大的项为_______.(★★★) 15. 某四棱锥的三视图如图所示，则它的体积为_______，表面积为_______(★★) 16. 如图，在平面凸四边形中，为对角线的中点.若.则_______，_______.(★★★★★) 17. 斜线与平面成15 °角，斜足为，为在内的射影，为的中点，是内过点的动直线，若上存在点，使，则则的最大值是_______，此时二面角平面角的正弦值是_______四、解答题(★★★) 18. 已知函数.（1）求函数的最小正周期及的值；（2）若方程在上有3个解，求实数的取值范围.(★★★★) 19. 如图，在中，，，为的中点，，.现将沿翻折至，得四棱锥.（1）证明：；（2）若，求直线与平面所成角的正切值(★★★) 20. 设数列的前项和为，．（1）求的值及数列的通项公式；（2）是否存在正整数，使得.若存在，求所有满足条件的；若不存在，请说明理由. (★★★★)21. 如图，已知抛物线焦点为，过上一点作切线，交轴于点，过点作直线交于点.（1）证明：；（2）设直线，的斜率为，的面积为，若，求的最小值. (★★★★) 22. 已知函数.（1）当时，求函数的单调递增区间；（2）对任意均有，求的取值范围. 注：为自然对数的底数.。

浙江省名校新高考研究联盟(Z20联盟)2020届第三次联考数学试题卷第Ⅰ卷(选择题共40分)一、选择题：本大题共10小题，每小题4分，共40分。

在每小题给出的四个选中，只有一项是符合题目要求的。

1．已知全集R,U =，集合4{Z |24},{R |0},1x A x x B x x -=∈≤≤=∈>-则()U A C B =I [].1,4A B ．[2,4) .{2,3,4}C D ．{2,3}2．椭圆2212x y +=的焦点是A ．(±1,0) ().0,1B ±C ．,0) (.0,D 3．若复数1(R,2z bi b i =+∈为虚数单位)满足ln()z z z ⋅=，其中z 为z 的共复数，()ln z 表 小z 的虚部，则1z i +的值为A ．12B ． 2C ． 1D 4．设a ，b>0，若41a b +=则22log log a b +的A ．最小值为2-B ．最小值为4-C ．最大值为2-D ．最大值为4-5.若实数x ，y 满足约束条件220,20,30,x y x y x y -+≤⎧⎪+≤⎨⎪-+≤⎩则233z x y =-+的最大值为A ．-8B ．-5C ．-2D ．15- 6．函数f(x)=sin()cos()4411()()22x x ππ++-的图像可能是7．已知数列{a n }满足*1sin ,N n n a a n +=∈,则10a ≥“”是”任意n ∈N *，都有”1n n a a +≤”的A ．充分不必要条件B ．必要不充分条件C ．充要条件D ．既不充分也不必要条件8．随机变量X 的分布列是A ．B．()E X ≤C ．()()E X D X ≥ D ．()()E X D X ≤9．已知空间向量→OA ，→OB ，→OC 两两相互垂直，且|OA OB =u u u r u u u r =||||,OC OP =u u u r u u u r 若OP OA yOB x OC =++±u u u r u u u r u u u r u u u r 则x+y+z 的取值范围是A ．⎡⎢⎣⎦ B ．[]1,1- C ．[ D ．[]2,2-10．已知函数()()1f x g x r ==- 命题①：对任意的0,2r >是函数()()y g f x x =-的零点;命题②：对任意的0,2r >是函数()()y f x g x =-的极值点.A ．命题①和②都成立B ．命题①和②都不成立C ．命题①成立，命题②不成立D ．命题①不成立,命题②成立第Ⅰ卷(非选择题共110分二、填空题：本大题共7小题，多空题每题6分，单空题每题4分，共36分.11．大约在2000多年前，由我国的墨子给出圆的概念：“一中同长也”意思是说，圆有一个圆心，圆心到圆周的长长都相等，这个定义比希腊数学家欧几里得给圆下定义要早100年，已知O 为原点，|OP|=1，若M(1,4)，则线段PM 长的最小值为 ▲12．在二项式6x 的展开式中，系数为有理数的项的个数是 ▲ ;三项式系数．．．．．最大的项为 ▲ . 13．某四棱锥的三视图如图所示，则它的体积为 ▲ ，表面积为 ▲14．如图，在平面凸四边形ABCD 中,24,AB AD CD BC P ====为对角线AC 的中点.若.PQ =则PD = ▲ ,ABC ∠= ▲ .15．由1,2,3,4,5构成的无重复数字的五位数中，相邻两个数字的差的绝对值不超过2的情况有 ▲ 种(用数字作答)16．函数f(x)在区间A 上的最大值记为max ()x A f x ∈，最小值记为min ()x Af x ∈ .若函数()[][]1,212,31,max min ()x b f x x bx f x ∈∈-=-=则 ▲ 17．斜线OA 与平面α成15°角，斜足为O ，A ‘为A 在α内的射影，B 为OA 的中点，是α内过点O 的动直线.若上存在点P ，P 使1221=3AP B=0P ,PP A B AB ︒∠∠则则的最大值是 ▲ ，此时二面角'12A PP A --平面角的正弦值是 ▲三、解答题：本大题共5小题，共74分。

浙江省名校新高考研究联盟（Z20联盟）2020届高三历史第三次联考试题考生须知:1.本试题卷分选择题和非选择题两部分，共8页，满分100分，考试时间90分钟。

2.考生答题前，务必将自己的姓名、准考证号用黑色字迹的签字笔或钢笔填写在答题纸上。

3.选择题的答案须用2B铅笔将答题纸上对应题目的答案标号涂黑，如要改动，须将原填涂处用橡皮擦净。

4.非选择题的答案须用黑色字迹的签字笔或钢笔写在答题纸上相应区域内，答案写在本试题卷上无效。

选择题部分一、选择题(本大题共25小题，每小题2分，共50分。

每小题列出的四个备选项中只有一个是符合题目要求的，不选、多选、错选均不得分)1.钱穆认为:“近世言秦政，率斥其专制。

然按实而论，秦人初创中国统一之新局，其所努力，亦均为当时事势所需，实未可一一深非也。

”此言论旨在A.肯定秦政伟大的历史功绩B.否定近世对秦政的评价C.要求客观全面地评价秦政D.分析秦统一的特殊原因2.水利是中国传统农业发展的命脉。

汉代关中水利工程修建，促进了农业经济发展，使得这里成为全国重要的粮食生产基地。

下列与汉代关中水利事业相关的有①农民创造“井渠”②开凿郑国渠③王景治理黄河④合理规划灌溉渠道A.①③B.①④C.②③D.①③④3.秦汉大一统之后，以皇权独尊为核心的官僚机构的设置和管理都体现出君主专制中央集权的加强。

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”能印证此观点的史实有①《武经总要》介绍指南鱼和火药武器②《天工开物》有造纸工序示意图③《梦溪笔谈》记载胶泥活字印刷技术④《旌德县志》由木活字印制而成A.①③B.①④C.②③D.②④5.中华民族有着悠久的历史，拥有丰富而珍贵的思想文化遗产，为充实人类思想宝库作出了卓越的贡献。

浙江省名校新高考研究联盟（Z20联盟）2020届第三次联考英语参考答案第一部分：听力部分（30分）1-5 BBAAC 6-10 CACAB 11-15 CCBCA 16-20 BCAAB第二部分：阅读理解（35分）21-23 CCB 24-26 DCA 27-30 CDBA 31-35 EAGFB第三部分：语言运用（45分）完形填空36-40 ACBAD 41-45 BCADB 46-50 DCABB 51-55 CDDAC语法填空56. ending 57. successful 58. be spent 59. growth 60. an61. on 62. effectively 63. will provide 64. to see 65. Whether第四部分：写作部分（40分）应用文写作Dear George,I’m terribly sorry that I’m not able to be your guide for the one-day tour this weekend, for I’ve signe d up for the voluntary work at a local hospital.I highly recommend the West Lake in Hangzhou as your destination. The picturesque scenery there in this season must be a feast for your eyes. You’ll also be attracted by the historical and cultural sites an d the legends behind. Considering there is a long way to go, please wear comfortable sneakers. Don’t forget to apply some sunscreen.Wish you an enjoyable weekend.Yours,Li Hua读后续写Paragraph 1Unfortunately, she soon came again, with her shoes in hands and preparing for an outing. “Don’t even ask, Meghan. Not today.” I knew her plan too well: First th e shoes. Then the stroller. And pretty soon we were in the park. The way she always did. Having sensed my impatience with her, Meghan put down the shoes, tugged at my sleeve with her free hands and pleaded using her hard-to-understand baby talk. “No, Meghan,” I said again. “Not now. Go away and leave me alone.” Finally, she left. She made no further attempt to bother me. Then I tried to concentrate on the test paper without interference.Paragraph 2Out of the corner of my eye I could see the little girl sobbing because I didn’t have time for her.wondering if you would care to join me.” Hearing this, she laughed excitedly and began the frantic search for her shoes. I knew I should put aside my work and go right at the moment—while bib-bibs still sparked wonder and while my girl thought that a walk with her father was a gift beyond measure.听力原文：Text 1M: Well, I think maybe you could watch me play basketball tomorrow afternoon.W: I’d love to, but I have to go to the denti st.Text 2W: Which platform does the 4:30 train leave from?M: Platform No. 6. Wait. It’s Platform No. 5. The 5:30 train leaves from Platform No. 6.Text 3M: I bought some snacks for us to have on the trip.W: OK, great. But I’m allergic to chocolate and nuts.M: Oh, never mind. I have brought some fruit.Text 4W: I have this huge essay that’s due tomorrow, and I haven’t even started it.M: You’re in luck. There’s supposed to be a big snowstorm tonight. I bet school will get canceled and you’ll get an e xtra day.W: Really? That would be fantastic.Text 5M: It’s already 6:30 pm now. Let’s call it a day.W: But I haven’t finished my work yet. I’m afraid I cannot leave now.M: Then I’ll go without you. See you tomorrow.Text 6W: Nancy said she’s moving to Russia.M: Isn’t she in South Africa?W: No. She is in Kenya, and now she is going to Russia.M: She doesn’t speak Russian, does she?W: A little. She’s been studying it for about three months. I think she’s going to enroll in a language class at the university when she gets there.M: Where’s she going to live, Moscow?W: I’m not sure. She’s talked a lot about St. Petersburg.M: Well, I wish I could go to some other country, too, just have a visit.W: Then you’d better start saving your pennies. I’ve been doing this for my traveling plan for a long time. Text 7W: Ooops, I’m glad that the lecture’s over. Alan, can I borrow your notes? I missed many points.M: Sorry, but I didn’t take notes.W: Are you kidding? This lecture is important.M: Actually, I don’t know how. It’s already hard for me to follow the instructor’s fast speed, let alone takenotes.W: Did you read the materials that he handed out last time?M: No.W: You’d better read it or spend 5 to 10 minutes skimming it before the lecture. It will hel p you get the main idea.M: I see. But there is still so much information in a lecture.W: Of course you have to select the most important points. Don’t write down every word the instructor says.Pay attention to how he organizes the materials, and you may want to add your own headings.M: Well, where is my pen? Ah, here it is. And? Anything else?W: Oh, yes. Sometimes there will be gaps in your notes, you can exchange notes with a classmate to fill them in right after the class while your memory is fresh. I was trying to do that just now.M: Eh.W: Hey! What are you doing? You are not looking at me!M: Me? Ha! I’m taking notes, of course.Text 8W: I’d like to reserve two tickets on Saturday, the 10th.M: For which movie, ma’am?W: Um.…for Dark and Stormy Night, please.M: I’m sorry, that show is sold out.W: Well, how about on the 11th?M: Yes, ma’am, we do have tickets for that show.W: Are there any seats left in the middle?M: Yes, but they’re not next to each other. If you want them together, we still have seats in the front and at the back.W: The front row sounds good. How much are the tickets?M: ＄13 in total.W: Okay. Do I have to pay in cash?M: Well, credit card is also acceptable.W: Uh, just a second. Here is my card.Text 9W: Good morning, Mr. Bourne. I assume you have a nice weekend.M: Not really. My wife and my daughter were arguing the whole weekend about God knows what, and my son came down with the flu, so we had to miss a really important football game.W: Oh, is your son feeling any better now?M: He’ll be fine in a few days. So, what’s on the schedule for today?W: You’ve got a 10: 00 a m. meeting with Mr. Peterson. And the car will pick you up downstairs at noon to take you to Charmaines. You’ll have lunch there with Ms. Smith. She wan ts to discuss the details about your business cooperation before she leaves for Paris this evening.M: All right. What about the afternoon?W: So far, it looks like you just have the regular 3: 00 p. m. managers’ meeting and some e-mails to respond to.M: That’s relief. Maybe I’ll even make it out of there on time today.W: It’s not very likely considering your daily routine, but I’ll keep my fingers crossed.Text 10M: In the age of mobile payments, what we really need to survive is a smartphone. But one company is going to make your traditional wallets cool again, by bringing them into the digital age. Armenian firm V olterman’s Smart wallet takes security to a new level. It’s fitted with different technology. In a smart wallet, there is an alarm, a GPS tracker, and even a camera. If your phone and wallet become separated, the alarm will warn you so that you don’t leave it behind. And if your wallet is lost or stolen, the GPS tracker can help you reach it. But perhaps the most unusual feature of the V olterman smart wallet is the built-in front-facing camera. If someone dares to open your wallet without your permission, the little camera will take a picture and send it to your mobile phone. Once your wallet is stolen, you will find it easily by receiving the p icture of the thief. The V olterman is really the world’s most powerful smart wallet. It’s also lightweight and thin, making it perfect for travel. The high-tech wallet comes in three models, with the cheapest cost expected to be $169.。

__________ 姓名：__________ 班级：__________一、选择题1．已知复数34z i=-，则zz= ( )A.3455i+ B.3455i-C. 1i+D. 1i-2．若对于函数()()2ln1f x x x=++图象上任意一点处的切线1l，在函数()sincos22x xg x x=-的图象上总存在一条切线2l，使得12l l⊥，则实数a的取值范围为( )A. (),-∞⋃+∞ B. 11,2⎡--⎢⎣⎦C.21,⎛⎡⎤--∞+∞⎢⎥⎝⎦⎣⎦D.⎤⎥⎣⎦3．若函数()9cos20,48f x x a xππ⎛⎫⎛⎫⎡⎤=--∈⎪ ⎪⎢⎥⎝⎭⎣⎦⎝⎭恰有三个不同的零点321,,xxx，则123x x x++的取值范围是（）A.511[,)48ππB.97[,)42ππC.511(,]48ππD.97(,]42ππ4．数列121231231,,,,,,...,,,,...,,...22333nn n n n的前25项和为（）A.20714B.20914C.21114D.10675．在等比数列{}n a中，若()57134a a a a+=+，则62aa=( )A.14B.12C. 2D. 4 6．若ln2ln3ln5,,235a b c===,则( )A．a b c<< B．c b a<< C．c a b<< D．b a c<<7．三角形ABC 中，2,22AB AC ==,45BAC ︒∠=，P 为线段AC 上任意一点，则PB PC 的取值范围是（ ）A. 1,14⎡⎤-⎢⎥⎣⎦B. 1,42⎡⎤-⎢⎥⎣⎦C. 1,04⎡⎤-⎢⎥⎣⎦D.1,22⎡⎤-⎢⎥⎣⎦评卷人 得分二、填空题8．从11,14(12),149123,14916(1234),=-=-+-+=++-+-=-+++，概括出第n 个式子为_______。

9．某三棱锥的三视图如图所示，正视图与侧视图是两个全等的等腰直角三角形，直角边长为1，俯视图为正方形，则该三棱锥的体积为______.评卷人 得分三、解答题10．已知函数2()ln 2()f x x x mx m R =+-∈．（1）若函数()f x 在其定义域内单调递增，求实数m 的最大值；（2）若存在正实数对(,)a b ，使得当()()1f a f b -=时，1a b -=能成立，求实数m 的取值范围．11．已知正项数列{a n }首项为2，其前n 项和为S n ，满足2S n －S n-1＝4 (n ∈N *，n ≥2)． （1）求2a ,3a 的值； （2）求数列{a n }的通项公式； （3）设212log n n b a =- (n ∈N *)，数列{b n ·b n ＋2}的前n 项和为T n ，求证：T n <34.12．在△ABC 中，a b c 、、分别为三个内角A 、B 、C的对边，且222sin .b A c a -+= (1)求角A ；(2)若4sin sin 3B C ，=且2a ，=求△ABC 的面积。

浙江省名校新高考研究联盟（Z20联盟）2020届第三次联考化学参考答案一、选择题（本大题共25小题，每小题2分，共50分）二、非选择题（本大题共6小题，共50分） 26．（每空1分，共4分）（1）＞；+NaHCO 3→+H 2O+CO 2 （其他合理答案也可）（2）Ca 2+[N ••••••••C ••••N ••••]2- （3）HF 分子间存在氢键27．（4分）（2分）1（2分）计算氧原子个数100*0.5334/16=3.3 130*0.5334/16=4.33 所以，氧原子个数为4个。

则相对分子质量为4*16/0.5334=120。

分子中C 和H 的相对质量之和为120-64=56，可能是下列几种情况：C 4H 8 或C 3H 20 (不可能)，因此碳氧双键最大为1。

（其他合理推导也可）28．（10分）（1）Si 、S ， SiS 2 3分 （2）SiO 32-+2SO 2+2H 2O===2HSO 3-+H 2SiO 3↓ 2分 （3）①FeS+H 2SO 4===H 2S ↑ +FeSO 4 （其他合理答案也可）， 2分关闭活塞，往试管中加水至没过长颈漏斗下端，继续加水，若长颈漏斗中形成一段水柱且一段时间保持不变，则装置气密性良好。

2分 ②A 1分29．（10分）（1）-122.5（1分），C （1分）（2）反应Ⅰ的ΔH ＞0，反应Ⅱ的ΔH ＜0，温度升高使CO 2转化为CO 的平衡转化率上升，使CO 2转化为CH 3OCH 3的平衡转化率下降，且上升幅度超过下降幅度 （2分） （3）AD （2分）（4）K = 0.04（2分）（5） （2分）30．（10分）（1）装有碱石灰的干燥管(其他合理答案也可)（1分）（2）冷凝管中回流的液体颜色基本不变（答“烧瓶中溴的颜色基本褪去”也可）。

（2分）吸收反应产生的HBr （1分） （3）BDE （2分）（4）①溴(溴化氢)挥发没有参加反应(溴与铁反应生成溴化铁) （1分，答一点给分。