【4月浙江杭州建人高复高考模拟英语】浙江省杭州建人高复2020届高三第二学期模拟测试英语试卷及参考答案

杭州建人高复2020届第二学期模拟测试数学试卷本试卷分选择题和非选择题两部分.满分150分，考试时间120分钟.参考公式：如果事件B A ,互斥，那么 柱体的体积公式)()()(B P A P B A P +=+； V Sh =如果事件B A ,相互独立，那么 椎体的体积公式)()()(B P A P B A P ⋅=⋅； 13V Sh = 如果事件A 在一次试验中发生的概率是P ，那么 球的表面积公式n 次独立重复试验中事件A 恰好发生k 次的概率 24S R π=k n k k n n P P C k P --=)1()((k = 0,1,…,n). 球的体积公式台体的体积公式 343V R π=选择题部分（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项中, 只有一项是符合题目要求的.1、已知全集{1,2,3,4,5,6}U =，集合{1,4}P =，{3,5}Q =，则()U C P Q =U （）A 、{2,6}B 、{2,3,5,6}C 、{1,3,4,5}D 、{1,2,3,4,5,6}2、已知i 是虚数单位，,x y R ∈，则“1x y ==”是“2()2x yi i +=”的（）A ．充分但不必要条件B ．必要但不充分条件C ．充要条件D ．既不充分也不必要条件3、某几何体的三视图如图所示,则该几何体的体积为（）A ．88π+B ． 816π+C ． 168π+D ．1616π+4、如果正数a b c d ，，，满足4a b cd +==，那么（ ）A. ab c d +≤，且等号成立时a b c d ，，，的取值唯一B. ab c d +≥，且等号成立时a b c d ，，，的取值唯一C. ab c d +≤，且等号成立时a b c d ，，，的取值不唯一D. ab c d +≥，且等号成立时a b c d ，，，的取值不唯一5、设等差数列{}n a 的公差为d ，若数列1{2}n a a 为递减数列，则（ ）A ．0d <B ．0d >C ．10a d <D ．10a d >6、已知实数x ,y 满足2246120x y x y +-++=则22x y --的最小值是A.5－ 5B.4－ 5C.5－1D.5 57、定义平面向量之间的一种运算“⊙”如下：对任意的(,),(,)a m n b p q ==，令a ⊙ .np mq b -=下面说法错误的是A. 若a 与b 共线，则a ⊙0=bB. a ⊙b b =⊙aC. 对任意的)(,a R λλ有∈⊙a b (λ=⊙)bD. a (⊙222||||)()b a b a b =⋅+2 8、对于给定正数k ，定义(),()(),()k f x f x k f x k f x k≤⎧=⎨>⎩，设252)(22++--=a a ax ax x f ，对任意R x ∈和任意)0,(-∞∈a 恒有)()(x f x f k =，则( )A ．k 的最大值为2B ．k 的最小值为2C ．k 的最大值为1D ．k 的最小值为19、如图，点P 在正方体1111ABCD A B C D -的表面上运动，且P 到直线BC 与直线11C D 的距离相等，如果将正方体在平面内展开，那么动点P 的轨迹在展开图中的形状是（ ）A. B.C. D.10、设函数22sin 2()cos 2a a x f x a a x ++=++的最大值为()M a ，最小值为()m a ，则（） A 、000,()()2a R M a m a ∃∈⋅=B 、,()()2a R M a m a ∀∈+=C 、000,()()1a R M a m a ∃∈+=D 、,()()1a R M a m a ∀∈⋅=非选择题部分（共110分）二、填空题：本大题共7个小题，多空题每题6分，单空题每题4分，共36分.11、已知2,0()(),0x x f x f x x ⎧≥=⎨--<⎩，若4log 3a =，则()____,(1)f a f a =-=______；12、已知方程22(1)(9)1k x k y -+-=，若该方程表示椭圆方程，则k 的取值范围是_______;13、已知322()(3)n f x x x =展开式中各项的系数和比各项的二项式系数和大992，则展开式中最大的二项式系数为______；展开式中系数最大的项为______．14、将字母,,,,,a a b b c c 放入32⨯的方表格，每个格子各放一个字母，则每一行的字母互不相同，每一列的字母也互不相同的概率为_______； 若共有k 行字母相同，则得k 分，则所得分数ξ的数学期望为______；（注：横的为行，竖的为列；比如以下填法第二行的两个字母相同，第1,3行字母不同，该情况下1ξ=） ab c cab15 、已知正四面体ABCD 和平面α，BC α⊂，正四面体ABCD 绕边BC 旋转，当AB 与平面α所成角最大时，CD 与平面α所成角的正弦值为______16、双曲线22221(0,0)x y a b a b-=>>的左焦点为1F ，过1F 的直线交双曲线左支于,A B 两点， 且1||||OF OA =，延长AO 交双曲线右支于点C ，若11||2||CF BF =，则该双曲线的离心率为_________17、已知,,a b c r r r 都是单位向量，且12a b ⋅=-r r ，则11a c b c -⋅+-⋅r r r r 的最小值为_____;最大值为________三、简答题：本大题共5小题，共74分.解答应写出文字说明、证明过程和演算步骤.18.（本小题14分）在 中，角 ，， 所对的边分别为 ，，，已知．Ⅰ 求角 的大小；Ⅱ 求的取值范围．19. （本小题15分） 如图，ABC ∆和BCD ∆所在平面互相垂直，且2AB BC BD ===，0120ABC DBC ∠=∠=，E 、F 分别为AC 、DC 的中点.（1）求证：EF BC ⊥；（2）求二面角E BF C --的正弦值.20. （本小题15分）已知各项均为正数的数列{n a }的前n 项和满足1>n S ，且*),2)(1(6N n a a S n n n ∈++=（1）求{n a }的通项公式；（2）设数列{n b }满足1)12(=-n b n a ，并记n T 为{n b }的前n 项和，求证：*2),3(log 13N n a T n n ∈+>+21. （本小题15分）已知,A B 是抛物线2x y =-上位于y 轴两侧的不同两点（1）若CD 在直线4y x =+上，且使得以ABCD 为顶点的四边形恰为正方形，求该正方形的面积。

2024届浙江省杭州市高三下学期高考英语模拟试题（二模）第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题纸上。

第1节 (共5小题；每小题1.5分，满分7.5分)第2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。

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.When did the man visit the National Park?st September.st December.C.This July.2.What does the woman think of Olivia?A.She is quiet.B.She is sociable.C.She is talkative.3.What will the man do this Tuesday?A.Attend an interview.B.Meet his doctor.C.Deliver a speech.4.What is the man's chief consideration in choosing the cottage?A.Its location.B.Its comfort.C.Its facilities.5.Where did the conversation probably take place?A.At the airport,B.In the office.C.At the hotel.第二节(共15小题；每小题1.5分，满分22.5分)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。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

2020届杭州市高级中学高三英语二模试卷及答案解析第一部分阅读（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、D四个选项中选出最佳选项ATry one of these amazing destinations on your next vacation.MallorcaOn the popular Spanish island of Mallorca, farmhouse inns focus more on providing isolation and quietness than offering hands-on farming experiences. With millions of visitors staying on the beaches of Mallorca and the other Balearic Islands each summer, a little bit of isolation is a good thing for aloneness-seeking travelers. Mainly located in the hills of inland Mallorca, these inns range from rustic century-old farmhouses to luxury(奢侈的) villas with spas and swimming pools.HawaiiPeople who don't want to dig out their passport but still want their farm adventure can head to the island of Hawaii. The 50th state talks much about the well-developed farm tourism industry that can hold people with different interests. Agritourism choices range from visiting coffee plantations(种植园) in the Big Island's Kona region to exploring the plantations on Maui to staying on farms on the easily reachable island of Oahu. CaliforniaCalifornia is one ofthe best places in the U. S. to enjoy a farm-stay, thanks to the diversity of crops and farms. Small family farms and large farms offer a more hands-on approach to agritourism. Many of them teach small-scale farming techniques and even offer strategies for organic growing. The University of California system, one of the largest state-run higher education systems in the U.S., has a small-farm program that helps growers create agritourism businesses.Philippine IslandsWith diverse conditions on different islands, the Philippine Islands are ideal places for visiting multiple agritourism sites or focusing on one product. Tourists can visit a huge pineapple plantation for a taste of large-scale agriculture, or they could focus on smaller operations such as bee farms, and even small plantations that specialize in growing tropical produce such as dragon fruit.1. What kind of people will choose to go to Mallorca?A. Those who prefer peace of mind.B. Those who like lying on the beach.C. Those who enjoy the luxury of tourism.D. Those who want to experience farming.2. What can people do on the Philippine Islands?A. Live in farmhouses.B. Visit plantations.C. Learn farming techniques.D Take part in a farm program.3. What are the four places in the text famous for?A. Locations.B. Environments.C. Local products.D. Tourism features.BOne day when I was 5, my mother criticized me for not finishing my rice and I got angry. I wanted to play outside and not to be made to finish eating my old rice. In my angry motion to open the screen door (纱门) with my foot, I kicked back about a 12-inch part of the lower left hand corner of the new screen door. But I had no regret, for I was happy to be playing in the backyard with my toys.Today, I know if my child had done what I did, I would have criticized my child, and told him about how expensive this new screen door was, and I would have delivered a spanking (打屁股) for it. But my parents never said a word. They left the corner of the screen door pushed out, creating an opening, a crack in the defense against unwanted insects.For years, every time I saw that corner of the screen, it would remind me of my mistake from time to time. For years, I knew that everyone in my family would see that hole and remember who did it. For years, every time I saw a fly buzzing in the kitchen, I would wonder if it came in through the hole that I had created with my angry foot. I would wonder if my family members were thinking the same thing, silently blaming me every time a flying insectentered our home, making life more terrible for us all. My parents taught me a valuable lesson, one that a spanking or stern (严厉的) words perhaps could not deliver. Their silent punishment for what I had done delivered a hundred stern messages to me. Aboveall, it has helped me become a more patient person and not burst out so easily.4. When the author damaged the door, his parents _______.A. scolded him for what he had doneB. left the door unrepairedC. told him how expensive it wasD. gave him a spanking5. How did the author feel every time he saw the damaged door?A. He felt ashamed of his uncontrolled anger at that time.B. He found that his family members no longer liked him.C. He found it destroyed the happy atmosphere at his home.D. He felt he had to work hard to make up for (弥补) the damage.6. The experience may cause the author _______.A. to hide his anger away from othersB. not to go against his parents’ willC. to have a better control of himselfD. not to make mistakes in the future7. What of the following is the main idea of this passage?A. Adults should ignore their children’s bad behavior.B. Parents shouldn’t educate their children.C. What is the best way to become a more patient person?D. Silent punishment may have a better effect on educating people.CThese days, football is one of the most popular sports in the world. Given that Neil Armstrong wanted to take a football to the Moon, we could even say that it is also the most popular sport out of this world! The history of the game goes back over two thousand years to Ancient China. It was then known as cuju (kick ball), a game using a ball of animal skins with hair inside. Goals were hung in the air. Football as we know it today started inGreat Britain, where the game was given new rules.That football is such a simple game to play is perhaps the basis of its popularity. It is also a game that is very cheap to play. You don’t need expensive equipment; even the ball doesn’t have to cost much money. All over the world you can see kids playing to their hearts’ content with a ball made of plastic bags.Another factor behind football’s global popularity is the creativity and excitement on the field. It is fun enough to attract millions of people. You do not have to be a fan to recognize the skill of professional players or to feel the excitement of a game ending with a surprising twist.What’s more, football has become one of the best ways for people to communicate: it does not require words, but everyone understands it. It breaks down walls and brings people together on and off the field.“Some people believe football is a matter of life and death, ...” said Bill Shankly, the famous footballer and manager. “I can tell you with certainty it is much, much more important than that.” This might sound funny, but one only has to think about the Earth to realize that our planet is shaped like a football.8. What can we know from paragraph one?A. Some people like to play football on the Moon.B. The game called cuju was given new rules today.C. Cuju is different from football as we know it today.D. Many people like playing a ball made of plastic bags.9. According to the author, there are ________ reasons why football became so popular in the world.A. 3B. 4C. 5D. 610. What can be inferred from the last paragraph?A. Football is round.B. Football is more than just a sport.C. Our planet is shaped like a football.D. What Bill Shankly said sounds funny.11. What’s the author’s purpose in writing the passage?A. To talk about the history of football.B. To express his/her love of football.C. To explain why football is such a popular game.D. To prove that he/she is a professional football fan.DWhen I was seven my father gave me a Timex, my first watch. I loved it, wore it for years, and haven’t had another one since it stopped ticking a decade ago. Why? Because I don’t need one. I have a mobile phone and I’m always near someone with an iPod or something like that. All these devices (装置) tell the time — which is why, if you look around, you’ll see lots of empty wrists; sales of watches to young adults have been going down since 2007. This is ridiculous. Expensive cars go faster than cheap cars. Expensive clothes hang better than cheap clothes. But these days all watches tell the time as well as all other watches. Expensive watches come with extra functions — but who needs them? How often do you dive to 300 metres into the sea or need to find your direction in the area around the South Pole? So why pay that much of five years’ school fees for watches that allow you to do these things?If justice were done, the Swiss watch industry should have closed down when the Japanese discovered how to make accurate watches for a five-pound note. Instead the Swiss reinvented the watch, with the aid of millions of pounds’ worth of advertising, as a message about the man wearing it. Rolexes are for those who spend their weekends climbing icy mountains; a Patek Philippe is for one from a rich or noble family; a Breitling suggests you like to pilot planesacross the world.Watches are now classified as “investments” (投资). A 1994 Philippe recently sold for nearly £ 350,000, while 1960s Rolexes have gone from £ 15,000 to £ 30,000 plus in a year. But a watch is not an investment. It’s a toy for self-satisfaction, a matter of fashion. Prices may keep going up — they’ve been rising for 15 years. But when of fashion. Prices may keep going up — they’ve been rising for 15 years. But when fashion moves on, the owner of that £ 350,000 beauty will suddenly find his pride and joy is no more a good investment than my childhood Times.12. The author don’t need another watch because ________.A. he don’t like wearing a watchB. he has mobile phone and can ask someone for helpC. he has no sense of timeD. he thinks watches too expensive13. It seems ridiculous to the writer that________.A. expensive watches with unnecessary functions still sellB. expensive clothes sell better than cheap onesC. cheap cars don’t run as fast as expensive onesD. people dive 300 metres into the sea14. What can be learnt about Swiss watch industry from the passage?A. It wastes a huge amount of money in advertising.B. It’s hard for the industry to beat its competitors.C. It targets rich people as its potential customers.D. It’s easy for theindustry to reinvent cheap watches.15. Which would be the best title for the passage?A. Timex or Rolex?B. My Childhood TimexC. Watches? Not for Me!D. Watches----a Valuable Collection第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

杭州建人高复2020届第二学期模拟测试数学试卷本试卷分选择题和非选择题两部分.满分150分，考试时间120分钟. 参考公式：如果事件,A B 互斥，那么柱体的体积公式()()()P A B P A P B +=+；V Sh =如果事件,A B 相互独立，那么椎体的体积公式()()()P A B P A P B ⋅=⋅；13V Sh =如果事件A 在一次试验中发生的概率是P ，那么球的表面积公式n 次独立重复试验中事件A 恰好发生k 次的概率24S R π=()(1)k kn k n n P k C P P -=-（k =0，1，…，n ）.球的体积公式台体的体积公式343V R π=选择题部分（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项中，只有一项是符合题目要求的.1.已知全集{1,U =2，3，4，5，6}，集合{}1,4P =，{}3,5Q =，则()(UP Q ⋃=)A. {}2,6B. {2,3，5，6}C. {1,3，4，5}D. {1,2，3，4，5，6}【答案】A 【解析】 【分析】进行并集、补集的运算即可．【详解】P ∪Q={1，3，4，5}；∴∁U （P∪Q）={2，6}． 故选A ．【点睛】考查列举法表示集合概念，并集、补集的运算,属于基础题. 2.已知a ，b ∈R ，21i =-则“1a b ==”是“2(i)2i a b +=”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【答案】A 【解析】 【分析】根据复数的基本运算，结合充分条件和必要条件的定义进行判断即可． 【详解】解：因为2222()a abi b a bi =+-+， 若1a b ==，则等式成立，即充分性成立，若2(i)2i a b +=成立，即2222a abi b i -=+，所以22022a b ab ⎧-=⎨=⎩解得11a b =⎧⎨=⎩或11a b =-⎧⎨=-⎩即必要性不成立，则“1a b ==”是“2(i)2i a b +=”的充分不必要条件， 故选：A ．【点睛】本题主要考查充分条件和必要条件的判断，结合复数的基本运算是解决本题的关键，属于基础题．3.某几何函数的三视图如图所示，则该几何的体积为( )A. 16+8πB. 8+8πC. 16+16πD. 8+16π【答案】A 【解析】试题分析：由已知中的三视图可得该几何体是一个半圆柱和正方体的组合体， 半圆柱的底面半径为2，故半圆柱的底面积212=22S ππ=⨯⨯，半圆柱的高4h =． 故半圆柱的体积为8π，长方体的长宽高分别为422，，，故长方体的体积为42216⨯⨯=， 故该几何体的体积为168π+，选A 考点：三视图，几何体的体积4.如果正数a b c d ，，，满足4a b cd +==，那么（ ） A. ab c d ≤+，且等号成立时a b c d ，，，的取值唯一 B. ab c d ≥+，且等号成立时a b c d ，，，的取值唯一 C. ab c d ≤+，且等号成立时a b c d ，，，的取值不唯一 D. ab c d ≥+，且等号成立时a b c d ，，，的取值不唯一 【答案】A 【解析】正数a b c d ，，，满足4a b cd +==，∴4=a b +≥，即4ab ≤，当且仅当a =b =2时，“=”成立；又4=2()2c d cd +≤，∴ c+d≥4，当且仅当c =d =2时，“=”成立；综上得ab c d ≤+，且等号成立时a b c d ，，，的取值都为2，选A ．5.设等差数列{}n a 的公差为d ，若数列1{2}n a a 为递减数列，则（ ） A. 0d < B. 0d >C. 10a d <D. 10a d >【答案】C 【解析】试题分析：因为{}n a 是等差数列，则2111(1)1(1)22n a a a a n dn a a n d +-=+-∴=，又由于{}12na a 为递减数列，所以1111-01221202nn a a a d a a a d +=>=∴<，故选C.考点：1.等差数列的概念；2.递减数列.6.已知实数,x y 满足2246120x y x y +-++=则22x y --的最小值是（ ）A. 55-B. 45-C. 51-D. 55【答案】A 【解析】 【分析】根据已知条件把2246120x y x y +-++=转化为圆的标准方程，可得到圆心坐标及半径，而22x y --可转化为2255x y --⨯即可看到圆上的点到直线220x y --=距离的最小值. 【详解】2246120x y x y +-++=，()()22231x y ∴-++=，即圆心C ()2,3-，半径1r =，222255x y x y ----=⨯，∴225x y --可看到圆上的点(),P x y 到直线220x y --=距离，∴圆上的点(),P x y 到直线220x y --=距离的最小值为圆心C 到直线220x y --=距离d 减去半径即d r -，43255d +-==∴圆上的点(),P x y 到直线220x y --=距离的最小值为51d r -=， ∴22x y --的最小值为55【点睛】本题考查了圆上的点到定直线的距离的最小值，考查了学生的计算能力，属于一般题.7.定义平面向量之间的一种运算“”如下：对任意的(,)a m n =，(,)b p q =，令a b mq np =-.下面说法错误的是A. 若a b 与共线，则0a b =B. ab b a =C. 对任意的,()R a b a b λλλ∈=有（）D. 2222()()ab a b a b +⋅=【答案】B 【解析】【详解】若a 与b 共线，则有=mq-np=0ab ，故A 正确；因为，而=mq-np a b ，所以有a b b a ≠，故选项B 错误；因为(,)(,)a b m n p q mq nq λλλλλ==-（），()()ab mq np mq np λλλλ=-=-，所以选项C 正确；2222222222222222()()()()()()ab a b mq np mp nq m q n p m p n q m n q p +⋅=--+=+++=++，222222=()()m n a p q b ++，所以选项D 正确.故选B ．8.对于给定正数k ，定义(),()(),()k f x f x k f x k f x k≤⎧=⎨>⎩，设22()252f x ax ax a a =--++，对任意x ∈R 和任意(,0)a ∈-∞恒有()()k f x f x =，则（ ） A. k 的最大值为2 B. k 的最小值为2 C. k 的最大值为1 D. k 的最小值为1 【答案】B 【解析】根据已知条件可得：()f x k ≤对任意x ∈R 恒成立，即max ()k f x ≥，结合二次函数的性质可求函数()f x 的最大值即可.【详解】因为对任意x ∈R 和任意(,0)a ∈-∞恒有()()k f x f x =， 根据已知条件可得：()f x k ≤对任意x ∈R 恒成立， 即max ()k f x ≥，()22()252,,0f x ax ax a a a =--++∈-∞，()22()1252f x a x a a ∴=--++， ∴当1,0x a ==时有max ()2f x =，即2k ≥故选：B【点睛】本题考查了不等式恒成立问题以及二次函数的性质，属于一般题.9.如图，点P 在正方体1111ABCD A B C D -的表面上运动，且P 到直线BC 与直线11C D 的距离相等，如果将正方体在平面内展开，那么动点P 的轨迹在展开图中的形状是（ ）A. B.C. D.【答案】B【解析】在平面BCC1B1上，P到直线C1D1的距离为|PC1|，∵P到直线BC与直线C1D1的距离相等，∴点P到点C1的距离与到直线BC的距离相等，∴轨迹为抛物线,且点C1为焦点，BC为准线；故排除C，D，同理可得，在平面ABB1A1上，点P到点B的距离与到直线C1D1的距离相等，从而排除A ， 本题选择B 选项.10.设函数22sin 2()cos 2a a x f x a a x ++=++的最大值为()M a ，最小值为()m a ，则（ ）A. 000,()()2a R M a m a ∃∈⋅=B. ,()()2a R M a m a ∀∈+=C. 000,()()1a R M a m a ∃∈+=D. ,()()1a R M a m a ∀∈⋅=【答案】D 【解析】 【分析】将函数整理为()()()2sin cos 21a x y x a y -=+-，再由辅助角公式和正弦函数的值域，得到不等式，结合韦达定理，即可得到答案.【详解】因为22sin 2cos 2a a x y a a x ++=++，所以有()()()2sin cos 21a x y x a y -=+-，即()()()221x a y ϕ-=+-，ϕ为辅助角，因为()()sin 1x x R ϕ-≤∈，所以()()221a y +-≤，化简得：()()()24222423422340a a y a y a a ++-++++≤，由于42340a a ++>恒成立， 则判别式：()()()422422424243442780a a a a a a ∆=+-++=++>恒成立，即有不等式的解集为{}(),()m a M a ， 由韦达定理可得,()()1a R M a m a ∀∈⋅= 故选：D【点睛】本题考查了利用三角函数的范围，辅助角公式以及韦达定理，考查了学生的计算能力，属于较难题.非选择题部分（共110分）二、填空题：本大题共7个小题，多空题每题6分，单空题每题4分，共36分.11.已知2,0()(),0x x f x f x x ⎧≥=⎨--<⎩，若4log 3a =，则()f a =_______，(1)f a -=______；【答案】3- 【解析】 【分析】根据已知条件可得()4log 30,1a =∈，所以直接把4log 3a =代入即可求出()f a ，()11,0a -∈-，即有()10,1a -∈，再代入计算即可.【详解】()4log 30,1a =∈，4log 3()22a f a ∴===()11,0a -∈-， ()10,1a ∴-∈，444log 1log 313(1)2223af a --∴-====，(1)f a ∴-=3-【点睛】本题考查了对数，指数的运算，考查了学生的计算能力，属于一般题.12.已知方程22(1)(9)1k x k y -+-=，若该方程表示椭圆方程，则k 的取值范围是_______； 【答案】15k <<或59k << 【解析】 【分析】先对方程进行化简成椭圆的标准方程，再利用椭圆的定义可得到k 的取值范围. 【详解】因为方程22(1)(9)1k x k y -+-=，所以22111(1)(9)x y k k +=--，所以有10(1)10(9)11(1)(9)k k k k ⎧>⎪-⎪⎪>⎨-⎪⎪≠⎪--⎩即15k <<或59k <<故答案为：15k <<或59k <<【点睛】本题考查了椭圆的定义，考查了学生的计算能力，属于较易题.13.已知2()3)n f x x =展开式中各项的系数和比各项的二项式系数和大992，则展开式中最大的二项式系数为______；展开式中系数最大的项为______. 【答案】 (1). 10 (2). 263405x 【解析】 【分析】由题意令1x =可得展开式中各项系数和为4n ，二项式系数和2n ，再根据已知条件可得到5n =，即可求出.【详解】2()3)n f x x =，∴令1x =可得展开式中各项系数和为4n ，且二项式系数和2n ，展开式中各项的系数和比各项的二项式系数和大992，∴42992n n -=解得5n =，则展开式中最大的二项式系数为235510C C ==； 设展开式中第1k +项的系数最大， 由二项式定理可得展开式()()2104523315533k k kk k kk T C xx C x+-+==，则115511553333k k k k k k k k C C C C --++⎧⋅≥⋅⎨⋅≥⋅⎩，所以3161351k kk k ⎧≥⎪⎪-⎨⎪≥⎪-+⎩，解得：7922k ≤≤， 因为k Z ∈， 所以4k =，因此当4k =时展开式中第5项系数最大的项为263405x 故答案为：10；263405x【点睛】本题考查了二项式的展开式以及系数和，考查了学生的计算能力，属于一般题. 14.将字母,,,,,a a b b c c 放入32⨯的方表格，每个格子各放一个字母，则每一行的字母互不相同，每一列的字母也互不相同的概率为_______；若共有k 行字母相同，则得k 分，则所得分数ξ的数学期望为______；（注：横的为行，竖的为列；比如以下填法第二行的两个字母相同，第1，3行字母不同，该情况下1ξ=）【答案】 (1). 215 (2). 35（填0.6也对） 【解析】 【分析】分类讨论计算出满足条件的基本事件个数，以及所有的基本事件个数，代入概率计算公式即可；计算出对对应的得分数ξ的概率，代入期望公式即可. 【详解】第一种：当每一列都不一样时有：第一列,,a b c 三个全排有33A ，第二列剩下的,,a b c 三个全排也有33A ，第二种：在一列中有其中两个是一样的则有：12113323C C C C ，所以总的基本事件个数有：33121133332390N A A C C C C =+=，当每一行的字母互不相同，每一列的字母也互不相同的基本事件个数有：3113212N A C ==，记事件“每一行的字母互不相同，每一列的字母也互不相同”为A ， 则()11229015N p A N ===； 因为所得分数ξ可能取值为：0，1，3，则有：()()()483660,1,3909090p p p ξξξ======， 所以有48366543139090909005E ξ+⨯+⨯===⨯ 故答案为：215；35【点睛】本题考查了离散型随机变量的概率和期望的计算，考查了学生的计算能力，属于一般题.15.已知正四面体ABCD 和平面α，BC α⊂，正四面体ABCD 绕边BC 旋转，当AB 与平面α所成角最大时，CD 与平面α所成角的正弦值为______【解析】 【分析】由已知条件可得当AB 与平面α所成角最大时即平面ABC α⊥，以BC 的中点为原点建立空间直角坐标系，写出相关点的坐标，代入线面角公式即可求出.【详解】由题意可得：当AB 与平面α所成角最大时即平面ABC α⊥， 以BC 的中点为原点建立空间直角坐标系O xyz -（如图），过D 作DE ⊥平面ABC ，垂足为E ，设2BC =，则()2631,0,0,0,33C D ⎛ ⎝⎭，即2631,33CD →⎛=- ⎝⎭,设CD 与平面α所成角为θ，平面α的法向量为()0,0,1n →=，则3sin cos ,6CD nCD n CD nθ→→→→→→===即CD 与平面α所成角的正弦值为363【点睛】本题考查了利用向量法求线面角的正弦值，考查了学生的计算能力，属于一般题.16.双曲线22221(0,0)x y a b a b-=>>的左焦点为1F ，过1F 的直线交双曲线左支于,A B 两点，且1||||OF OA =，延长AO 交双曲线右支于点C ，若11||2||CF BF =，则该双曲线的离心率为_________ 17【解析】 【分析】取双曲线的右焦点2F ,连接2CF ，延长交双曲线于D ，连接21,AF DF ，由平面几何的性质可得四边形12F AF C 为矩形，设1122CF BF m ==，运用双曲线的定义和对称性，结合勾股定理，化简可得34m a =，代入方程结合离心率公式即可求出.【详解】取双曲线的右焦点2F ,连接2CF ，延长交双曲线于D ，连接21,AF DF ，（如图）由12OA OF OC OF c ====， 可得四边形12F AF C 为矩形， 设1122CF BF m ==，由对称性可得：2DF m =，22144AF c m =-即有22244CF c m =-由双曲线的定义可得：22122244a CF CF m c m =-=-在直角三角形1DCF 中，221144,2,2DC m c m CF m DF a m =-==+，可得()()(222222244a m m m c m+=+-，②由①②可得34m a =，即43am =， 代入①可得：22228642244439a a a m c m c =-=-化简可得：22179c a =， 即有173c e a ==17【点睛】本题考查了双曲线的定义以及性质，考查了学生的计算能力，属于较难题.17.已知,,a b c 都是单位向量，且12a b ⋅=-1b c +-⋅的最小值为_____；最大值为________【答案】 【解析】 【分析】根据题意可设()()[]131,0,,,cos ,sin ,0,222a b c θθθπ⎛⎫==-=∈ ⎪ ⎪⎝⎭，再代入1b c +-⋅，利用二倍角公式进行化简、求三角函数的值域即可.【详解】因为,,a b c 都是单位向量，且12a b ⋅=-， 设()()[]131,0,,,cos ,sin ,0,222a b c θθθπ⎛⎫==-=∈ ⎪ ⎪⎝⎭，11cos b c +-⋅=-2226θθθπ⎛⎫=+=++ ⎪⎝⎭取当取sin0,cos 0226θθπ⎛⎫≥+≥ ⎪⎝⎭时， 即20,3πθ⎡⎤∈⎢⎥⎣⎦，12sin226b c θθπ⎛⎫+-⋅=++ ⎪⎝⎭22623θθπθπ⎛⎫⎛⎫=++=+ ⎪ ⎪⎝⎭⎝⎭，20,3πθ⎡⎤∈⎢⎥⎣⎦，61,b c ⎡+-⋅∈⎢⎣， 同理当2,23πθπ⎡⎤∈⎢⎥⎣⎦时，有12sin226b c θθπ⎛⎫+-⋅=+ ⎪⎝⎭22626θθπθπ⎛⎫⎛⎫=-+=- ⎪ ⎪⎝⎭⎝⎭，2,23πθπ⎡⎤∈⎢⎥⎣⎦，61,2b c ⎡+-⋅∈⎢⎣1b c +-⋅的最小值为2【点睛】本题考查了向量的坐标运算以及三角函数的化简、求值域，考查了学生的计算能力，属于较难题.三、简答题：本大题共5小题，共74分.解答应写出文字说明、证明过程和演算步骤.18.在中，角A ，B ，C 所对的边分别为a ，b ，c ，已知cos sin 3a b C B =+. （1）求角B 的大小；（2）求22sin sin A C +的取值范围. 【答案】（1）3π（2）33(,]42【解析】 【分析】(1)根据题意可利用正弦定理把边转化为角，再用两角和的正弦即可；(2)先利用二倍角公式进行化简，再利用角度范围即可求22sin sin A C +的取值范围. 【详解】（1）由题意sin sin cos sin 3A B C C B =+sin()sin cos sin 3B C B C C B +=+sin cos cos sin sin cos sin B C B C B C C B +=3cos sin sin sinB C C B=sinC0≠()3cos sin,0,3tan33B B BBBππ∴=∈∴=∴=（2）221cos21cos21sin sin1(cos2cos2C)222A CA C A--+=+=-+12141[cos2cos2()]1[cos2cos(2)]232311311(cos2sin2)1cos(2)2223A A A AA A Aπππ=-+-=-+-=--=-+2(0,)352(,)333AAππππ∈∴+∈1cos(2)[1,)32Aπ∴+∈-22133sin A sin C1cos(2)(,]2342Aπ∴+=-+∈【点睛】本题考查了正弦定理，两角和的正弦公式，二倍角公式，考查了学生的计算能力，属于一般题.19.如图所示，ABC∆和BCD∆所在平面互相垂直，且2AB BC BD===，120ABC DBC∠=∠=，E，F分别为AC，DC的中点.（1）求证：EF BC⊥；（2）求二面角E BF C--的正弦值.【答案】(1)见解析(2)255【解析】试题分析：（1）（方法一）过E作EO⊥BC，垂足为O，连OF，由△ABC≌△DBC可证出△EOC≌△FOC，所以∠EOC=∠FOC=2π，即FO⊥BC，又EO⊥BC，因此BC⊥面EFO，即可证明EF⊥BC.（方法二）由题意，以B为坐标原点，在平面DBC内过B左垂直BC的直线为x轴，BC所在直线为y轴，在平面ABC内过B作垂直BC的直线为z 轴，建立如图所示的空间直角坐标系.易得1331(0,,),(,,0)2222E F,所以33(,0,),(0,2,0)22EF BC=-=，因此0EF BC⋅=,从而得EF BC⊥；（2）（方法一）在图1中，过O作OG⊥BF，垂足为G，连EG，由平面ABC⊥平面BDC，从而EO⊥平面BDC，从而EO⊥面BDC，又OG⊥BF，由三垂线定理知EG垂直BF，因此∠EGO为二面角E-BF-C 的平面角；在△EOC中，EO=12EC=12BC·cos30°=3，由△BGO∽△BFC知，34BOOG FCBC=⋅=,因此tan∠EGO=2EOOG=,从而sin∠EGO=25，即可求出二面角E-BF-C的正弦值.（方法二）在图2中，平面BFC的一个法向量为1(0,0,1)n=，设平面BEF的法向量2(,,)n x y z=，又,由22{n BFn BE⋅=⋅=得其中一个，设二面角E-BF-C的大小为θ，且由题意知θ为锐角，则121212cos cos,5n nn nn nθ⋅===⋅，因此25，即可求出二面角E-BF-C的正弦值.（1）证明：（方法一）过E 作EO⊥BC，垂足为O ，连OF ，由△ABC≌△DBC 可证出△EOC≌△FOC，所以∠EOC=∠FOC=2π，即FO⊥BC， 又EO⊥BC，因此BC⊥面EFO ， 又EF ⊂面EFO ，所以EF⊥BC.（方法二）由题意，以B 为坐标原点，在平面DBC 内过B 左垂直BC 的直线为x 轴，BC 所在直线为y 轴，在平面ABC 内过B 作垂直BC 的直线为z 轴，建立如图所示的空间直角坐标系.易得B （0,0,0），A(0，-133,-1,0)，C(0,2,0),因而1331(0,,0)22E F ,所以33(,0,),(0,2,0)EF BC =-=，因此0EF BC ⋅=,从而EF BC ⊥，所以EF BC ⊥.（2）（方法一）在图1中，过O 作OG⊥BF，垂足为G ，连EG ，由平面ABC⊥平面BDC ，从而EO⊥平面BDC ，从而EO⊥面BDC ，又OG⊥BF，由三垂线定理知EG 垂直BF. 因此∠EGO 为二面角E-BF-C 的平面角； 在△EOC 中，EO=12EC=12BC·cos30°=32，由△BGO∽△BFC 知，3BO OG FC BC =⋅=,因此tan∠EGO=2EO OG=,从而25，即二面角E-BF-C 25.（方法二）在图2中，平面BFC 的一个法向量为1(0,0,1)n =，设平面BEF 的法向量2(,,)n x y z =，又3113(,,0),(0,,)222BF BE ==,由220{0n BF n BE ⋅=⋅=得其中一个，设二面角E-BF-C 的大小为θ，且由题意知θ为锐角，则121212cos cos ,5n n n n n n θ⋅===⋅，因此25，即二面角E-BF-C 的正弦值为25. 考点：1.线面垂直的判定；2.二面角.20.已知各项均为正数的数列{n a }的前n 项和满足1n S >，且*6(1)(2),n n n S a a n N =++∈（1）求{n a }的通项公式；（2）设数列{}n b 满足(21)1n bn a -=，并记n T 为{}n b 的前n 项和，求证：*231log (3),n n T a n N +>+∈【答案】（1）31n a n =-（2）见解析 【解析】 【分析】(1)利用已知n S 与n a 的关系求{n a }的通项公式； (2)先根据(1)的结论求出23log 31n nb n =-，再求出{}n b 的前n 项和n T ，利用放缩法证明不等式.【详解】解：（1）由1112111(1)(1),16a S a a a S ==++=>结合，因此12a = 由111111(1)(2)(1)(2)66n n n n n n n a S S a a a a ++++=-=++-++得11()(3)0n n n n a a a a +++--=，又0n a >，得13n n a a +-=从而{n a }是首项为2公差为3的等差数列，故{n a }的通项公式为31n a n =- （2）由(21)1n bn a -=可得23log 31n nb n =-，从而 2363log (...)2531n nT n =⋅⋅⋅-323633log (...)2531n n T n =⋅⋅⋅-=3332363log [()()...()]2531n n ⋅⋅⋅- 3313231331n n n n n n ++>>-+ 3333132()3131331n n n n n n n n ++∴>⋅⋅--+ 于是33323633log [()()...()]2531n n T n =⋅⋅⋅- 223456783313232log [()()...()]log 234567313312n n n n n n n +++>⋅⋅⋅⋅⋅⋅⋅⋅⋅=-+ 2231log (32)log (3)n n T n a ∴+>+=+【点睛】本题考查了已知n S 与n a 的关系求{n a }的通项公式以及利用放缩法证明不等式，属于较难题.21.已知,A B 是抛物线2x y =-上位于y 轴两侧的不同两点 （1）若CD 在直线4y x =+上，且使得以ABCD 为顶点的四边形恰为正方形，求该正方形的面积.（2）求过A 、B 的切线与直线1y =-围成的三角形面积的最小值；【答案】（1）18或50；（2）9 【解析】【分析】(1)联解直线方程和抛物线方程，可求出AB 的弦长||AB =，再结合已知条件以ABCD 为顶点的四边形为正方形可得到正方形的边长，从而可求得面积；(2)分别求出切线方程，由切线方程求出交点坐标，代入三角形的面积公式，利用基本不等式求出面积的最小值.【详解】（1）设直线:AB y x b =+ 联立直线AB 与抛物线方程得：20x x b ++=易得：||AB =直线AB与CD=26b=--或所以该正方形的边长为面积为18或50；（2）设2(,)A a a-，2(,)B b b-（由对称性不妨设0,0a b<>）则A处的切线方程为：22y ax a=-+，与直线1y=-交点记为M，则21(,1)2aMa+-则B处的切线方程为：22y bx b=-+，与直线1y=-交点记为N，则21(,1)2bNb+-两条切线交点P(,)2a bab+-2222111()(1)222()(1)(1)()4()(1)4)4PMNb aS abb ab a ab abt aabb t btbtbtbt++=--+---+==-++=+≥△令于是2222222()(1)21111333(1)29qqqq qqq==+=+=+++≥+∴≥=当3b a=-=时取到等号【点睛】本题考查了直线与抛物线位置关系求弦长，求过点的切线方程，利用基本不等式求最小值，考查了学生的计算能力，属于较难题.22.设函数()()xf x e x a a α=-+∈R ，其图象与x 轴交于A （x 1，0），B （x 2，0）两点，且x 1＜x 2．（1）求a 的取值范围；（2）证明：f 0（f ′（x ）为函数f （x ）的导函数）；（3）设点C 在函数y ＝f （x ）的图象上，且△ABC =t ，求（a ﹣1）（t ﹣1）的值．【答案】（1）见解析; （2）见解析（3）2【解析】【详解】（1）∵f （x ）＝e x ﹣ax +a ，∴f '（x ）＝e x ﹣a ， 若a ≤0，则f '（x ）＞0，则函数f （x ）是单调增函数，这与题设矛盾． ∴a ＞0，令f '（x ）＝0，则x ＝lna ， 当f '（x ）＜0时，x ＜lna ，f （x ）是单调减函数， 当f '（x ）＞0时，x ＞lna ，f （x ）是单调增函数， 于是当x ＝lna 时，f （x ）取得极小值， ∵函数f （x ）＝e x﹣ax +a （a ∈R ）的图象与x 轴交于两点A （x 1，0），B （x 2，0）（x 1＜x 2）， ∴f （lna ）＝a （2﹣lna ）＜0，即a ＞e 2， 此时，存在1＜lna ，f （1）＝e ＞0， 存在3lna ＞lna ，f （3lna ）＝a 3﹣3alna +a ＞a 3﹣3a 2+a ＞0，又由f （x ）在（﹣∞，lna ）及（lna ，+∞）上的单调性及曲线在R 上不间断，可知a ＞e 2为所求取值范围． （2）∵121200x x e ax a e ax a ⎧-+=⎨-+=⎩，∴两式相减得2121x x e e a x x -=-． 记()2102x x s s -=＞，则()121221212221'222x x x x x x s s x x e e e f e s e e x x s ++-+-⎛⎫⎡⎤=-=-- ⎪⎣⎦-⎝⎭， 设g （s ）＝2s ﹣（e s ﹣e ﹣s ），则g '（s ）＝2﹣（e s +e ﹣s）＜0，∴g （s ）是单调减函数，则有g （s ）＜g （0）＝0，而12202x x e s+＞， ∴12'02x x f +⎛⎫ ⎪⎝⎭＜． 又f '（x ）＝e x ﹣a是单调增函数，且122x x +∴'0f ＜．（3）依题意有0i x i e ax a -+=，则()10i xi a x e -=＞⇒x i ＞1（i ＝1，2）． 于是122x x e +=，在等腰三角形ABC 中，显然C ＝90°，∴()120122x x x x x +=∈，，即y 0＝f （x 0）＜0， 由直角三角形斜边的中线性质，可知2102x x y -=-， ∴21002x x y -+=， 即()1221212022x x x x a ex x a +--+++=，∴()2112022x x ax x a -+++=，即()()()()21121111022x x a x x ---⎡⎤-+-+=⎣⎦． ∵x 1﹣1≠0，则2211111110212x x x a x --⎛⎫--++= ⎪-⎝⎭，t =， ∴()()22111022a at t t -++-=， 即211a t =+-， ∴（a ﹣1）（t ﹣1）＝2．点睛：本题以含参数的函数解析式为背景，旨在考查导数的有关知识在研究函数的单调性与极值（最值）等方面的综合运用．求解第一问时，充分借助题设条件运用分析推证的思想方法求解；解答第二问时，则借助题设中的坐标进分析推证；第三问则依据等边三角形的题设条件进行分析探求，综合运用等价转化的数学思想及数形结合的思想和意识，从而使得问题简捷、巧妙地获解．。

浙江省杭州建人高复2020届高三下学期4月模拟测试 可能用到的相对原子质量：H －1 C －12 O －16 S －32 Cl －35.5 Fe －56 I －127 Ba －137一、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．科学家研究发现普通盐水在无线电波的照射下可以燃烧，其原理是无线电频率可以削弱盐水中所含元素原子之间的“结合力”，释放出氢原子和氧原子，一旦点火，氢原子就会在这种频率下持续燃烧。

上述中“结合力”的实质是( )A ．离子键B ．离子键与共价键C ．共价键D ．氢键2．已知某物质X 的熔点为－83 ℃，沸点为77 ℃，不溶于水，密度小于1 g·cm －3。

要从水与X 的混合物中简便快捷地分离出X ，需要用到的仪器是( )3．下列物质溶于水能导电，但既不属于电解质又不属于非电解质的是( )A ．二氧化硫B ．冰醋酸C ．氧化钙D ．漂白粉4．下列反应中，金属元素被氧化的是( )A ．2FeCl 2＋Cl 2===2FeCl 3B ．H 2＋CuO=====△Cu ＋H 2OC ．Na 2O ＋H 2O===2NaOHD ．2KMnO 4=====△K 2MnO 4＋MnO 2＋O 2↑5．下列各组内的不同名称实际是指同一物质的是( )A ．液氯、氯水B ．烧碱、火碱C ．胆矾、绿矾D ．干冰、水晶 6．下列表示正确的是( )A ．氯化镁的电子式：Mg 2＋『︰Cl ‥‥︰』－2B ．硝基苯的结构简式：C ．乙炔分子的球棍模型：D ．Cl －的结构示意图：7．下列说法正确的是( ) A.18 8O 表示中子数为10的氧元素的一种核素B ．金刚石和石墨互为同素异形体，两者之间不能相互转化C ．CH 3COOH 和CH 3COOCH 3互为同系物D．C6H14的同分异构体有4种，其熔点各不相同8．下列说法不正确的是()A．钠和钾的合金可用于快中子反应堆作热交换剂B．可用超纯硅制造的单晶硅来制芯片C．可利用二氧化碳制造全降解塑料D．氯气有毒，不能用于药物的合成9．下列说法正确的是()A．海水中溴离子浓度大，因此溴被称为“海洋元素”B．工业上用焦炭在高温下还原二氧化硅可制得纯硅C．聚乙烯是一种广泛用于制造水杯、奶瓶、食物保鲜膜等用品的有机高分子材料D．用于电气工业的纯铜可由黄铁矿冶炼直接得到10．下列有关石油、煤、天然气的叙述正确的是()A. 煤中含有的苯、甲苯等可通过干馏得到B.石油经过催化重整可得到芳香烃C.石油的分馏、煤的气化和液化都属于化学变化D.石油、煤、天然气、可燃冰、沼气都属于化石燃料11．下列说法正确的是()A．做“钠与水的反应”实验时，切取绿豆粒大小的金属钠，用滤纸吸干表面的煤油，放入烧杯中，滴入几滴酚酞溶液，再加入少量水，然后观察并记录实验现象B．用蒸馏法提纯物质时，如果温度计的水银球位于蒸馏烧瓶支管口下方，会使收集的产品中混有低沸点的杂质C．制备乙酸乙酯时，向乙醇中缓慢加入浓硫酸和冰醋酸，加热3～5 min，将导气管插入饱和Na2CO3溶液中以便于除去乙醇和乙酸D．为检验皂化反应的进行程度，取几滴反应液，滴入装有热水的试管中，振荡，若有油滴浮在液面上，说明油脂已完全反应12．元素及其化合物的性质是化学研究的主要内容之一。

浙江省杭州建人高复2020届高三数学下学期4月模拟测试试题 本试卷分选择题和非选择题两部分.满分150分，考试时间120分钟.参考公式：如果事件B A ,互斥，那么 柱体的体积公式)()()(B P A P B A P +=+； V Sh =如果事件B A ,相互独立，那么 椎体的体积公式)()()(B P A P B A P ⋅=⋅； 13V Sh = 如果事件A 在一次试验中发生的概率是P ，那么 球的表面积公式n 次独立重复试验中事件A 恰好发生k 次的概率 24S R π=k n k k n n P P C k P --=)1()((k = 0,1,…,n). 球的体积公式台体的体积公式 343V R π=选择题部分（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项中, 只有一项是符合题目要求的.1、已知全集{1,2,3,4,5,6}U =，集合{1,4}P =，{3,5}Q =，则()U C P Q =U （）A 、{2,6}B 、{2,3,5,6}C 、{1,3,4,5}D 、{1,2,3,4,5,6}2、已知i 是虚数单位，,x y R ∈，则“1x y ==”是“2()2x yi i +=”的（）A ．充分但不必要条件B ．必要但不充分条件C ．充要条件D ．既不充分也不必要条件3、某几何体的三视图如图所示,则该几何体的体积为（）A ．88π+B ． 816π+C ． 168π+D ．1616π+4、如果正数a b c d ，，，满足4a b cd +==，那么（ ）A. ab c d +≤，且等号成立时a b c d ，，，的取值唯一B. ab c d +≥，且等号成立时a b c d ，，，的取值唯一C. ab c d +≤，且等号成立时a b c d ，，，的取值不唯一D. ab c d +≥，且等号成立时a b c d ，，，的取值不唯一5、设等差数列{}n a 的公差为d ，若数列1{2}n a a 为递减数列，则（ ）A ．0d <B ．0d >C ．10a d <D ．10a d >6、已知实数x ,y 满足2246120x y x y +-++=则22x y --的最小值是A.5－ 5B.4－ 5C.5－1D.5 57、定义平面向量之间的一种运算“⊙”如下：对任意的(,),(,)a m n b p q ==，令a ⊙ .np mq b -=下面说法错误的是A. 若a 与b 共线，则a ⊙0=bB. a ⊙b b =⊙aC. 对任意的)(,a R λλ有∈⊙a b (λ=⊙)bD. a (⊙222||||)()b a b a b =⋅+28、对于给定正数k ，定义(),()(),()k f x f x k f x k f x k≤⎧=⎨>⎩，设252)(22++--=a a ax ax x f ，对任意R x ∈和任意)0,(-∞∈a 恒有)()(x f x f k =，则( )A ．k 的最大值为2B ．k 的最小值为2C ．k 的最大值为1D ．k 的最小值为19、如图，点P 在正方体1111ABCD A B C D -的表面上运动，且P 到直线BC 与直线11C D 的距离相等，如果将正方体在平面内展开，那么动点P 的轨迹在展开图中的形状是（ ）A. B.C. D.10、设函数22sin 2()cos 2a a x f x a a x ++=++的最大值为()M a ，最小值为()m a ，则（） A 、000,()()2a R M a m a ∃∈⋅=B 、,()()2a R M a m a ∀∈+=C 、000,()()1a R M a m a ∃∈+=D 、,()()1a R M a m a ∀∈⋅=非选择题部分（共110分）二、填空题：本大题共7个小题，多空题每题6分，单空题每题4分，共36分.11、已知2,0()(),0x x f x f x x ⎧≥=⎨--<⎩，若4log 3a =，则()____,(1)f a f a =-=______；12、已知方程22(1)(9)1k x k y -+-=，若该方程表示椭圆方程，则k 的取值范围是_______;13、已知322()(3)n f x x x =展开式中各项的系数和比各项的二项式系数和大992，则展开式中最大的二项式系数为______；展开式中系数最大的项为______．14、将字母,,,,,a a b b c c 放入32⨯的方表格，每个格子各放一个字母，则每一行的字母互不相同，每一列的字母也互不相同的概率为_______； 若共有k 行字母相同，则得k 分，则所得分数ξ的数学期望为______；（注：横的为行，竖的为列；比如以下填法第二行的两个字母相同，第1,3行字母不同，该情况下1ξ=） ab c ca b15 、已知正四面体ABCD 和平面α，BC α⊂，正四面体ABCD 绕边BC 旋转，当AB 与平面α所成角最大时，CD 与平面α所成角的正弦值为______16、双曲线22221(0,0)x y a b a b-=>>的左焦点为1F ，过1F 的直线交双曲线左支于,A B 两点， 且1||||OF OA =，延长AO 交双曲线右支于点C ，若11||2||CF BF =，则该双曲线的离心率为_________17、已知,,a b c r r r 都是单位向量，且12a b ⋅=-r r ，则11a c b c -⋅+-⋅r r r r 的最小值为_____;最大值为________三、简答题：本大题共5小题，共74分.解答应写出文字说明、证明过程和演算步骤.18.（本小题14分）在 中，角 ，， 所对的边分别为 ，，，已知．Ⅰ 求角 的大小；Ⅱ 求的取值范围．19. （本小题15分） 如图，ABC ∆和BCD ∆所在平面互相垂直，且2AB BC BD ===，0120ABC DBC ∠=∠=，E 、F 分别为AC 、DC 的中点.（1）求证：EF BC ⊥；（2）求二面角E BF C --的正弦值.20. （本小题15分）已知各项均为正数的数列{n a }的前n 项和满足1>n S ，且*),2)(1(6N n a a S n n n ∈++=（1）求{n a }的通项公式；（2）设数列{n b }满足1)12(=-n b n a ，并记n T 为{n b }的前n 项和，求证：*2),3(log 13N n a T n n ∈+>+21. （本小题15分）已知,A B 是抛物线2x y =-上位于y 轴两侧的不同两点（1）若CD 在直线4y x =+上，且使得以ABCD 为顶点的四边形恰为正方形，求该正方形的面积。

绝密★启用前浙江省杭州市建人高复2020届高三毕业班下学期高考模拟测试生物试题2020年4月考生须知：1.本卷共8 页满分 100 分，考试时间90 分钟；2.答题前，在答题卷指定区域填写班级、姓名、考场号、座位号及准考证号并填涂相应数字。

3.所有答案必须写在答题纸上，写在试卷上无效；4.考试结束后，只需上交答题纸。

一、选择题：（本大题共25题,每小题2分,共50分。

）2020年新型冠状病毒在全世界开始蔓延,造成数百万人感染。

2020年2月11日,世卫组织宣布将新型冠状病毒正式命名为COVID-19。

1.下列关于冠状病毒的相关叙述正确的是（）A．冠状病毒是一种致病性很强的DNA病毒B．抗生素对冠状病毒具有较强的杀伤作用C．冠状病毒属于非细胞生物,不能独立代谢D．冠状病毒只感染人体,不能感染其它动物2.新型冠状病毒是一种RNA病毒,下列有关说法正确的是（）A．新型冠状病毒的遗传物质主要为 RNA,因此更容易发生变异B．新型冠状病毒颗粒内可以合成 mRNA 和蛋白质C．新型冠状病毒在进化过程中是独立进化的,与其他物种无关D．感染新型冠状病毒后人体内会产生相应的浆细胞和效应 T 细胞3.新型冠状病毒是一种正链RNA（+RNA）病毒,下图为冠状病毒的增殖和表达过程。

相关叙述错误的是（）A．-RNA和+RNA均有RNA复制酶结合位点B．该种冠状病毒内含有逆转录酶C．（+）RNA可直接作为翻译的模板D．遗传信息表达过程中遵循碱基互补配对原则4．下列有关生物知识的叙述正确的有（）①碳元素是构成生物体有机物的基本元素,可形成链式或环式结构,在一个二十三肽的化合物中最多含有肽键23个②细菌和植物细胞都有细胞壁,但其主要成分不同③葡萄糖存在于叶绿体中而不存在于线粒体中④生长激素、胰岛素、甲状腺激素都含有肽键,均可用双缩脲试剂来鉴定A．1项 B．2项 C．3项 D．4项5.将酶、抗体、核酸等生物大分子或小分子药物用磷脂制成的微球体包裹后,更容易运输到患病部位的细胞中,这是因为：（）A．生物膜具有选择透过性,能够允许对细胞有益的物质进入B．磷脂双分子层是生物膜的基本骨架,且具有流动性C．生物膜上的糖蛋白起识别作用D．生物膜具有半透性,不允许大分子物质通过6.细胞是生命的基本单位,细胞的特殊性决定了个体的特殊性,因此,对细胞的深入研究是揭开生命奥秘、改造生命和征服疾病的关键。

浙江省建人高复2020届高三上学期第二次月考英语试题（含答案）本试卷分第I卷（选择题）和第II卷（非选择题）两部分。

第I卷第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（共5小题；每小题1.5分，满分7.5分）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称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.Where is the woman now ？A.In the bedroom.B.In the living room.C.In the kitchen.2.What did the man buy ?A.Green tea.B.Orange juice.C.Hot chocolate.3.What is the man going to do first?A.See a doctor.B.Attend a meeting.C.Fill some forms.4.Where does the conversation probably take place?A.At a store.B.At a bank.C.At an office.5.What are speakers mainly talking about?A.Their friend Jenny.B.French food.C. A new restaurant.第二节（共15小题：每小题1.5分，满分22.5分）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。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料,回答第6-7题。

2019-2020学年杭州市高级中学高三英语二模试卷及答案解析第一部分阅读（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、D四个选项中选出最佳选项AWelcome to join our Summer Youth Language Program to improve English language skills, make new friends worldwide. and have a good time here! The program capacity is limited, so if you are interested, you should register as soon as possible.Dates andCostsAll programs require a $ 100 nonrefundable deposit (不退还的押金)to reserve a spot in the program.June 15—July 16 5-week program：( $ 1920)July 20—August 20 5-week program：( $ 1920)June 15—August 20 10-week program：( $ 3620)You can also study with us for shorter periods. 4-week programs cost $ 1580 tuition and 3-week programs cost $ 1240.DiscountsThere is a 10% discount for each additional family member!Appropriate AgesRecommended Ages：14 and olderRestrictions：Students who are younger than 16 must have a parent or guardian with them.Program ScheduleIn the morning, you will join the all-aged Intensive English classes from 9：00 am to 2：00 pm, Monday to Thursday, where they can meet other students from worldwide. In the afternoonfrom 2 to 3 pm, we will have fun after-school activities, like soccer in the Park, visit toScienceMuseumand story writing competition.Items Students Should BringClothes：Shirts, a jacket, long pants ,a swimsuit and comfortable shoes, etc.Other personal items：Camera phone? plug adapter, photos of friends/family.Study materials：Notebooks, pens, and pencils.Airport Safe Items：Don't bring foods and snacks, or they'll be charged before you board the airport.1. How much will be charged if you and your brother join in a 3-week program?A. $ 1920,B. $ 2356.C. $3002.D. $ 3620.2. What will participants do at 2：30 pm on Monday?municate with foreign students.B. Attend intensive English classes.C. Join in some interesting activities.D. Talk with their parents on the phone.3. Why should students avoid bringing foods and snacks?A. To save space for their luggage.B. To protect the environment.C. To avoid any unwanted fees.D. To follow the rules of the airport.BWhat will future schools look like in 100 years? Imagine future schools in which students are totally engaged in a class. They are concentrating on working together to solve real-world problems. They are self-driven and are coming up withamazing ideas on the spot. They are concerned with each other’s well-being as part of a team. Their concerns reach far beyond the classroom to others all over the globe.The school of the future will be an amazing melting pot of different peoples coming together to solve real-world problems.Will they even be called “schools” in the future?The teacher-student relationship is changing. Teachers are acting more as helpers rather than keepers of all knowledge. Students are driving their own education to the path that they feel best fits them. In the future, employers may not be as concerned with a diploma. They’ll look more at cases and examples of how students contribute to solving real-world problems. They’ll want to know how well they work in a team.What will problem-solving look like in the future?Information from the Internet is accessible everywhere and at unimaginable speeds. Kids are connected to news around the world in real time. Imagine someone could put out a request to the global community to help solve an issue in their own community! Classes can adopt an issue and work with other classes around the world in real time to create solutions.What will information look like in the future?It’s already everywhere. Users can get flooded by the constant flow of information. The need to understand what is true and what is not is important. The flipped classroom (翻转课堂) has already completely changed lecture-based lessons. It presents interesting content to students before they even come to class. They can access the Internet as many times as they want to review the lessons.4. What is the key message of the first paragraph?A. The things students will do in the future school.B. The situation where students will be in the future.C. The attention students will pay to in the classroom.D. The methods students will use to study in the classroom.5. What will be thought highly of when students solve real-world problems?A. Respect.B. Patience.C. Teamwork.D. Concern.6. What can we infer from the fourth paragraph?A. Teachers encourage students to develop leadership.B Students are really relaxed with their heavy study.C. The employers value students’ diplomas most.D. Students have the right to choose the most suitable lessons.7. What’s the purpose of the flipped classroom?A. To help students to improve the problem-solving ability.B. To provide the lessons for students to study before or after class.C. To help students to keep in contact with the outside world.D. To help students to understand the most difficult content.CSophie became friends with the gray squirrels during her first week atPennState, after spotting them running around and wondering what they would look like with tiny hats on their heads. Today, everyone at the university knows her as the “Squirrel Girl”.Sophie tried bringing them food, and gradually they began to trust her. She managed to put a hat on a squirrel and take a picture. Thinking that her colleagues could do with something to lift their spirits, she started posting similar photos on Facebook. The response was greatly positive, and before long Sophie and her squirrels became an Internetsensation.Growing up in a neighborhood outside ofState College, Sophie was always fond of birds and animals around her home, but she didn't interact with people very much. She was later diagnosed (诊断) with Asperger's syndrome, but the squirrels changed that. “The squirrels help me break the ice, because I'll be sitting here patting a squirrel and other people will come over and well just start like feeding the squirrels together and chatting about them,” she said, “I am a lot more outgoing.”And in case you're wondering how Sophie is able to get the squirrels to do what she wants for her photos, ithas a lot to do with food. For example, whenever she wants them to hold or play with something, she puts peanut butter on the prop (道具), and they'll grab it. In the beginning, she would throw peanuts up the trees on campus and invite the squirrels to come down and get them, but they hesitated to approach her. She had the patience to earn their trust, though.This year, Sophie is graduating with a degree in English and wildlife sciences. She wants to be a science writer and educate people on how to preserve the environment. As for her furry friends, Sophie plans to stay in the area and visit them as often as she can.8. What does the underlined word “sensation” in paragraph 2 mean?A. Event.B. Hit.C. Service.D. Addiction.9. What can we learn about Sophie according to paragraph 3?A. She got lots of friends due to squirrels.B. She used to be a popular girl in her childhood.C. She lived in the far countryside when young.D. She was more outgoing than before.10. How did Mary manage to take photos of squirrels wearing hats?A. By attracting them with food.B. By putting them in cages.C. By playing music to them.D. By dressing like squirrels.11. What do you think of Sophie?A. Tolerant and capable.B. Sociable and aggressive.C. Patient and caring.D. Indifferent and appreciative.DOne-year-old Tallulah turned purple and stopped moving after the sweet became stuck in her throat. Her mum Leigh-Anne said the drama began during a visit to her grandma’s house when her grandparents gave her older kids some sweets.“Then at about 4:45 pm, Tallulah started to choke—we all went into a panic.”“It seemed like it went on for ages. Not one of us knew what to do.”“I rang an ambulance while my grandma and granddad tried to get the sweet to come up.”“Tallulah was panicking at first but then she started to go purple—she almost had no oxygen left in her.”With her daughter limp (无力的) and time running out, Leigh—Anne knew she couldn’t afford to wait for theambulance to arrive.“The only thing I could think was to go out into the street.” She said.“I rushed out and screamed for someone to help while my grandma rushed out crying with Tallulah.”At exactly the moment, Caitlin, who is studying public services atRedcarCollege, was passing byQueen Street. She said, “I was waiting to go to work when I heard someone screaming for help, so I ran straight over.”The 17-year-old girl added, “Something just clicked and I went into auto mode. The little girl was completely limp, so I checked her airways and tilted (使倾斜) her over and started hitting her back. I turned her round and tapped on her chest, then after what felt like forever she coughed up the sweet and spat it out.As soon as she started crying I felt a huge relief. I was just so pleased I was able to help.”Caitlin was taught her lifesaving skills when she joined the Army Cadets four years ago.12. When did Tallulah get choked?A. While eating sweets.B. While enjoying a drama.C. While having a meal.D. While taking some medicine.13. Why did the family go out into the street?A. To buy some needed tools.B. To search for timely help.C. To get a breath of fresh air.D. To wait for the ambulance to arrive.14. Which of the following can best describe Caitlin?A. Brave and selfless.B. Kind and energetic.C. Determined and generous.D. Quick-thinking and helpful.15. What may be the best title for the text?A. First aid skill sounds important.B. Screaming for help makes sense.C. Eating sweets endangers baby girl.D. Heroic teenager saves baby girl’s life.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。

浙江建人高复2014届高考仿真模拟试卷英语考生须知：1．本试卷分试题卷和答题卷，满分120分，考试时间120分钟。

2．答题前，在答题卷密封区内，填写学号、姓名、试场号、座位号。

3．所有答案必须写在答题卷上，写在试卷上无效。

4．考试结束，只上交答题卷。

第一部分：英语知识运用第一节单项选择（共20小题；每小题0.5分，满分10分）1.______ stable China-Japan relationship is in _____ interests of two countries, Asia and the world, participants in the Beijing-Tokyo Forum agreed on Sunday.A. The; /; /B. A; the, theC. A; /; theD. The; /; the2. Most people are aware that, ____ , the relationship between Hong Kong and the Republic of the Philippines will become poorer.A. if not dealing with carefullyB. if dealt not carefully withC. if not carefully dealt withD. if not carefully dealing with3.Discovery in a South African cave suggests that modern human behavior ____ much earlier than ____. ks5uA. begin, previously thoughtB. began, previously thoughtC. should begin, previous thinkingD. began, previous thinking4. Who do you suppose _____ wants to go with to the cinema____ in the 1990’s.A. she; buildingB. that she; buildingC. she; builtD. that she; built5. David was ____ in the second half of the football match after a serious knee injury.A. scheduledB. abandonedC. reservedD. substituted6.I like the sofa we’ve found in the shop. In my opinion, it is a perfect __ for the furniture in our sitting room.A. matchB. gameC. suitD. fit7.Before the war broke out, many people in safe places possessions they could not take with them.A. threw awayB. put awayC. gave awayD. carried away8. Copy the expression___, please, without any change.A. as it isB. such as it isC. what it isD. so it is9. In our childhood, we were often ___ by Grandma to pay attention to our table manners.A. demandedB. remindedC. allowedD. hoped10. ______ seemed surprising to us was ______ he came out first in the speaking competition.A. It; thatB. What; whatC. It ; whatD. What; that11. “ Even if Sun Yang failed to kill passers-by in his car, he ___ be fined and put into prison for 2weeks according to the law.” the judge said.A. willB. shouldC. shallD. may12. — It is a pity that we have nothing to refer to when we come across new words.— I quite agree with you. There isn't any dictionary around when we need ______.A. itB. thatC. thisD. one13. Scientists said the smaller the airborne particles, the more ______ they are to cause illness.A. possibleB. likelyC. probableD. perhaps14. — Shall we go for a walk after school today? —______. Will tomorrow be Ok?A. Sure, it’s up to youB. Sure, no problemC. Sorry, I’m not available todayD. Sorry, I can’t get it15. Changyu building, _____ a history of more than 700 years, is well-known for its magnificentappearance the quiet and natural surroundings.A. having; inB. with; againstC. with; forD. has; against16.A Chinese immigrant ______ neighbours said struggled to survive in America was arrestedSunday because he used a butcher knife to kill his relatives.A. whoseB. whichC. whomD. who17. When travelling in America, we stayed in a quiet hotel, __________.A. next to it was a thick woodB. next to which was a thick wood.C. next to it there was a thick woodD. next to which a thick wood was18.It is only with the help of scientific research _____ bring PM1 air pollution under control.A. that we willB. we willC. that we doD. do we19. — I was hoping you were able to lend me the money.— __________________A. That’s right!B. You can forget that!C. You are welcome.D. Never mind.20.David dislikes television heroes who smoke, __________?A. do theyB. don’t theyC. doesn’t heD. does he第二节：完型填空（共20小题；每小题1分，满分20分）阅读下面短文，掌握其大意，然后从21—40题所给的四个选项（A、B、C、D）中，选出最佳选项，并在答题纸上将该选项标号涂黑。

2010-2023历年浙江省建人高复高三高考仿真模拟英语试卷（带解析）第1卷一.参考题库(共20题)1.Scientists said the smaller the airborne particles, the more ______ they are to cause illness.A．possibleB．likelyC．probableD．perhaps2.When travelling in America, we stayed in a quiet hotel, __________.A．next to it was a thick woodB．next to which was a thick wood.C．next to it there was a thick woodD．next to which a thick wood was3.David dislikes television heroes who smoke, __________?A．do theyB．don’t theyC．doesn’t heD．does he4.“ Even if Sun Yang failed to kill passers-by in his car, he ___ be fined and put into prison for 2 weeks according to the law.” the judge said.A．willB．shouldC．shallD．may5.请阅读以下就餐者的信息，然后匹配就餐者和适合他们的餐厅。

选项中有一项是多余选项。

把答案填在答卷上的相应位置。

Doctors Say Most Heart Disease PreventableHeart disease is the number one killer, worldwide, of men and women over the age of 60. But people of all ages die of heart attacks each year. And while death rates have declined in the U.S. and many western European countries, they are on the rise in the developing world. __【小题1】___.No one would have guessed that Barbara Teng would have a heart attack. She was not overweight. She did not smoke or exercise. “In 2004, the week after I turned 49, when I was on a business trip in Chicago, I had a major heart attack," she said. _【小题2】 . She now exercises daily, and monitors her heart health.Dr. Patrice Nickens, who is with the National Heart, Lung and Blood Institute, thinks that heart disease is 82 percent preventable. “___【小题3】__,” she said, “Men are also facing the same problem, and the key to staying healthy is knowing your numbers”.“Your weight, your blood cholesterol, blood sugar and your blood pressure are important numbers that can help you take action and reduce your risk,” she sa id.___【小题4】__“And the steps to take are simple: don’t smoke, maintain a healthy weight, exercise, know your numbers and talk to your physician and control these risks,” she said. African-Americans are at higher-than-average risk for heart disease and stroke; people don't even know they have it, which increases the risk. Medstar Washington Hospital Center is trying to reach this population. _【小题5】 . For example, helping the people monitor their blood pressure. If people realize they are at risk for heart disease, they'll make lifestyle changes: lose weight, exercise, eat the right foods and keep in touch with a doctorA．A healthy lifestyle can prevent heart diseaseB．Lack of exercise causes heart attacksC．It is the leading cause of death for womenD．With the right training, they can play an important role in community healthE. And that changed her lifeF. Yet most heart disease is preventable.6.Before the war broke out, many people in safe places possessions they could not takewith them.A．threw awayB．put awayC．gave awayD．carried away7.Chinese International SchoolApplication FormBefore an applicant can be invited to take part in an assessment, an application form should be returned to the Admissions Office, and the application fee of HK$1,000 cannot be returned. For overseas applicants wishing to pay in currencies other than HKdollars, the fee is US$145. Checks are also good for payment to “Chinese International School”.The application should include:※ Applicant’ academic report from the last school year.※ A recent passport-sized photo (attached to the application form). [来源:学,科,网] ※ A copy of the applicant’s Hong Kong ID card or a passport showing a valid Hong Kong visa.※ Only for applicants applying under a Corporate Nomination(提名) Right: A company letter confirming the nomination.Please note that the application fee is non-refundable. Applicants who would like to re-apply for another academic year are asked to submit a new application and application fee.AcceptanceApplicants will be informed of their acceptance status in writing by postal mail. Initial (最初的) offers for Reception will be sent out from late March once all assessments have been completed.Some applicants who have been assessed may be held on a reserve list. Acceptances may also be made on a conditional basis among the applicants on the reserve list. Applicants who have been assessed but who have not been admitted are welcome to reapply for the next academic year. Please note that such applicants will be asked to submit a new application and application fee.Confirmation of Acceptance and Enrollment (录取)Once an applicant has been admitted, the applicant family will be asked to confirm acceptance and hold the student’s place with immediate payment of the required fees for the Nomination Right (HK$ 500), plus the sum of HK$ 7,500 as the first tuition (学费) payment.In addition, enrollment will not be considered complete until the following have been received, normally one month before the start of the new school year:Physical examination resultsTuition (first month)【小题1】 According to the passage, if the applicants reapply for an academic year, ______.A．the application fee can be reduced to a halfB．applicants on a reserve list needn’t be assessedC．the initial application form should be returned to the Admissions OfficeD．a new application and application fee are to be required【小题2】Which of the following is true?A．Once applicants are refused, they can’t apply for it again.B．Applicants held on a reserve list will not be admitted.C．The applicants should show either a Hong Kong visa or a Hong Kong ID card. D．Applicants don’t have to get a company letter to confirm their application.【小题3】How will the applicants possibly be informed of the acceptance status? A．By fax.B．By e-mail.C．By regular mailD．By telephone.【小题4】According to the Application Process, the first tuition payment is ______. A．HK$ 500B．HK$7, 500C．HK$1, 000D．US$ 145【小题5】If an applicant has been admitted, the applicant family ______.A．will be asked to submit a new applicationB．will receive physical Examination resultsC．will be asked to only pay the first month feeD．will be asked to confirm acceptance and pay the fees8.In our childhood, we were often ___ by Grandma to pay attention to our table manners.A．demandedB．remindedC．allowedD．hoped9.______ seemed surprising to us was ______ he came out first in the speaking competition.A．It; thatB．What; whatC．It ; whatD．What; that10.Who do you suppose _____ wants to go with to the cinema____ in t he 1990’s. A．she; buildingB．that she; buildingC．she; builtD．that she; built11.Tom appeared on the sidewalk with a bucket of whitewash and a longhandled brush. He stopped by the fence in front of the house where he lived with his aunt Polly. He looked at it, and all joy left him. The fence was long and high. He put the brush into the whitewash and moved it along the top of the fence. He repeated the operation. He felt he could not continue and sat down.He knew that his friends would arrive soon with all kinds of interesting plans for the day. They would walk past him and laugh. They would make jokes about his having to work on a beautiful summer Saturday. The thought burned him like fire.He put his hand into his pockets and took out all that he owned. Perhaps he could find some way to pay someone to do the whitewashing for him. But there was nothing ofvalue in his pockets—nothing that could buy even half an hour of freedom. So he put the bits of toys back into his pockets and gave up the idea.At this dark and hopeless moment, a wonderful idea came to him. It filled his mind with a great, bright light. Calmly he picked up the brush and started again to whitewash. While Tom was working, Ben Rogers appeared. Ben was eating an apple as he walked along the street. As he walked along it, he was making noises like the sound of a riverboat. First he shouted loudly, like a boat captain. Then he said“Ding---Dong---Dong”，“Ding---Dong---Dong” again and again, like the bell of a riverboat. And he made other strange noises. When he came close to Tom, he stopped. Tom went on whitewashing. He did not look at Ben. Ben stared a moment and then said: “Hello! I'm going swimming, but you can't go, can you？”No answer. Tom moved his brush carefully along the fence and looked at the result with the eye of an artist. Ben came nearer. Tom's mouth watered for the apple, but he kept on working.Ben said, “Hello, old fellow, you've got to work, hey？”Tom turned suddenly and said, “Why, it's you, Ben! I wasn't noticing.”“Say --- I'm going swimming. Don't you wish you could? But of course you'd rather work --- wouldn't you? Of course you would.”Tom looked at the boy a bit, and said “What do you call work？”“Why, isn't that work？”Tom went back to his whitewashing, and answered carelessly.“Well, maybe it is, and maybe it isn't. All I know is, it suits Tom Sawyer.”“Oh come, now, you don't mean to say that you like it？”The brush continued to move.“Like it? Well, I don't see why I shouldn't like it. Does a boy get a chance to whitew ash a fence every day？”Ben stopped eating his apple. Tom moved his brush back and forth, stepped back to look at the result, added a touch here and there, and stepped back again. Ben watched every move and got more and more interested. Soon he said，“Say, Tom, let me whitewash a little.”Tom thought for a moment, and was about to agree, but he changed his mind.“No---no---it won't do, Ben. You see, Aunt Polly wants this fence to be perfect. It has got to be done very carefully. I don't think there is one boy in a thousand, maybe two thousand, that can do it well enough.”“No---is that so? Oh come, now —let me just try. Only just a little.”“Ben, I'd like to, but if it isn't done right, I'm afraid Aunt Polly … ”“Oh, I'll be careful. Now let me try. Say —I'll give you the core of my apple.”“Well, here --- No, Ben, now don't. I'm afraid …”“I'll give you all of it.”Tom gave up the brush with unwillingness on his face, but joy in his heart. And while Ben worked at the fence in the hot sun, Tom sat under a tree, eating the apple, and planning how to get more help. There were enough boys. Each one came to laugh, but remained to whitewash. By the time Ben was tired, Tom sold the next chance to Billyfor a kite; and when Billy was tired, Johnny bought it for a dead rat —and so on, hour after hour. And when the middle of the afternoon came, Tom had won many treasures. And he had not worked. He had had a nice idle time all the time, with plenty of company, and the fence had been whitewashed three times. If he hadn't run out of whitewash, Tom would have owned everything belonging to his friends.He had discovered a great law of human action, namely, that in order to make a man or a boy want a thing, it is only necessary to make the thing difficult to get.【小题1】How many characters are mentioned in this story?A．4.B．5.C．6.D．7【小题2】Why did Tom take all his bits of toys out of his pockets?A．Because he was tired and wanted to play with his toys.B．Because he wanted to throw his toys away.C．Because he wanted to give his toys to his friends.D．Because he wanted to know if he could buy help with his toys.【小题3】Tom was about to agree to let Ben whitewash when he changed his mind because ________.A．Tom wanted to do the whitewashing by himselfB．Tom planned to make Ben give up his apple firstC．Tom was unwilling to let Ben do the whitewashingD．Tom was afraid Ben would do the whitewashing better【小题4】We can learn from the passage that ________.A．Tom was interested in whitewashing the fenceB．Tom had a lot of friends who are ready to help othersC．Tom was unwilling to whitewash the fence, but he managed to let other boys do it for himD．Tom was good at whitewashing the fence, so he looked at the result of his work with the eye of an artist【小题5】What made Ben Rogers eagerly give up his apple and offer to brush the fence for Tom?A．His warm heart and kindness to friends.B．Tom's threat.C．His curiosity about Tom's brushing job.D．Aunt Polly's idea.【小题6】Which of the following is the most suitable title for this passage?A．The Happy WhitewasherB．Tom And His FellowsC．Whitewashing A FenceD．Make The Things Difficult To Get12.I like the sofa we’ve found in the shop. In my opinion, it is a perfect __ for the furniture in our sitting room.A．matchB．gameC．suitD．fit13.Changyu building, _____ a history of more than 700 years, is well-known for its magnificent appearance the quiet and natural surroundings.A．having; inB．with; againstC．with; forD．has; against14.— Shall we go for a walk after school today? —______. Will tomorrow be Ok? A．Sure, it’s up to youB．Sure, no problemC．Sorry, I’m not available todayD．Sorry, I can’t get it15.Copy the expression___, please, without any change.A．as it isB．such as it isC．what it isD．so it is16.______ stable China-Japan relationship is in _____ interests of two countries, Asia and the world, participants in the Beijing-Tokyo Forum agreed on Sunday. A．The; /; /B．A; the, theC．A; /; theD．The; /; the17.— It is a pity that we have nothing to refer to when we come across new words. — I quite agree with you. There isn't any dictionary around when we need ______. A．itB．thatC．thisD．one18.It is only with the help of scientific research _____ bring PM1 air pollution under control.A．that we willB．we willC．that we doD．do we19.David was ____ in the second half of the football match after a serious knee injury. A．scheduledB．abandonedC．reservedD．substituted20.— I was hoping you were able to lend me the money.— __________________A．That’s right!B．You can forget that!C．You are welcome.D．Never mind.第1卷参考答案一.参考题库1.参考答案：B试题分析：考查形容词。

2020年浙江省高三年级第二次模拟考试英语试卷阅读理解(分两节，共5小题；每小题2分，共10分)阅读下面短文，并根据短文后的要求答题。

Do kids need rules, or is it more important for them to find out on their own what works and what doesn't work? It all depends on what the rules are supposed to accomplish. My feeling is that the most effective rules are the ones that will help students now and in the future. The school and parents should avoid rules that have no long-term value and make rules that help students focus on the future.__1__For example, unreasonable dress and grooming(修饰) codes are particularly annoying. What lasting benefit do they have? Boys have been sent home for wearing their hair too long. What is gained by regulating hairstyles? It seems to me that learning about appropriate grooming is something that students can safely learn on their own. It won't really ruin a person's life to look back at a yearbook picture in 10 years and laugh at the hairstyles.On the other hand, most students respect rules and requirements that help them stay focused on the future. It seems that every day the world gets more confused about what's important, so it's definitely useful to have a few guidelines for staying on track. Students may complain about having to take required courses(especially the ones they don't like), reading books during summer vacation, and doing community service, but at least they can see that there are clear reasons for these requirements. __2__My own lesson in rules happened when I was in eighth grade. Because I got all C's on my first­quarter report card, Dad said that I was limited to one hour of TV on school nights. Of course, I was upset and said my freedom was being taken away. Dad stood firm, and my grades improved dramatically. __3__ I probably wouldn't have come up with the TV rule on my own, and as a result, my life may have been much different.I realize that people who come up with rules mean well. They, too, are trying to remove distractions and smooth the way to success for students. __4__ Good intentions don't always make good rules.第一节根据短文内容，从A、B、C、D和E中选出最适合填入短文空白处的选项。

【高考英语】2023-2024学年浙江省杭州市高三英语仿真模拟试题（一模）选择题部分第一部分听力(共两节，满分30分)第一节(共5小题；每小题1.5分，满分7.5分)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。

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．Why does the man refuse to eat more?A．He has a toothache.B．He is too full.C．The pie is too salty.2．When will the man leave?A．On Tuesday.B．On Wednesday.C．On Thursday.3．Where will the speakers go first tomorrow?A．The zoo.B．The People’s Park.C．The Science Museum.4．Why will the woman go to Boston?A．To start a new life there.B．To live with her parents.C．To visit her grandparents.5．What does the man imply?A．He will go to Seattle next time.B．He will never go to Los Angeles.C．A trip to Miami may be interesting.第二节(共15小题；每小题1.5分，满分22.5分)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。

听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料，回答第6、7题。

杭高2019学年第二学期高三高考仿真模拟卷英语试题卷考试须知：1. 本试卷分试题卷和答题卡两部分。

本卷满分（150）分，考试时间（120）分钟。

2. 答题前务必将自己的学校、班级、姓名用黑色字迹的签字笔或钢笔填写在答题卡规定的地方。

3. 答题时，请按照答题卡上“注意事项”的要求，在答题卡相应的位置上规范答题，在本试题卷上答题一律无效。

4. 考试结束后，只需上交答题卡。

选择题部分第一部分：听力（共两节，满分30分）做题时，现将★答案★标在试卷上，录音内容结束后，你将有两分钟的时间将试卷上的★答案★转涂到答题卡上。

第一节：（共5小题；每小题1.5分，满分7.5分）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。

例：How much is the shirt?A.＄19.15.B.＄9.18.C.＄9.15.★答案★是 C.1. What is the most probable relationship between the two speakers?A. Husband and wife.B. Colleagues.C. Teacher and student.2. Where does this conversation probably take place?A. In a hospital.B. In a shop.C. In a restaurant.3. What does the man think of his vacation?A. It is not good.B. It is wonderful.C. It is too tiring.4. When will the plane take off?A. At 10:10.B. At 10:15.C. At 10:30.5. What is the man doing now?A. Watching TV.B. Playing the computer.C. Working on a paper.第二节：（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。