河南省郑州市第一中学2014-2015学年高一下学期期中考试英语试卷

河南省郑州市第一高级中学2021-2022学年高一英语月考试卷含解析一、选择题1. The president _____ a speech to senators _____ a group of armed young people burst into the hall.A. was making; whenB. gave, asC. was giving; whileD. made; when参考答案：A2. The hunter _____ his gun against the tree and ____ down for a rest.A lay /laid B. laid / lay C. lied / lay D. laid / lied学科参考答案：B3. On Oct. 29, the famous Chinese pianist Lang Lang was named as United Nations Messenger of Peace,_________ means he will help promote(促进) global education.A. whichB. whatC. thatD. it参考答案：A4. Please take me to a distant land _______ I can find the animal _____ gave fur to make this sweater.A. that, thatB. where , thatC. which, thatD. where, who参考答案：B5. Only when ________ be possible to sign the papers.A. does the boss come will itB. the boss comes will itC. has the boss come it willD. the boss comes it will参考答案：B略6. My car is broken. I had to pay 200yuan to have it _______.A. repairB. repairingC. repairedD. to repair参考答案：C 7. Getting to the cinema, quite out of breath, we found the film for ten minutes.A. having been onB. had begunC. had been onD. had been started参考答案：C8. With more and more evidence _______, the truth has been obvious.A. to gatherB. gatherC. gatheringD. gathered参考答案：D【详解】考查非谓语动词。

河南省郑州市第一中学2024-2025学年高一上学期第一次模拟测试英语试题一、阅读理解Do you have any travel plans in the near future? Or are you looking for the safest place to travel? If your answer is yes, this travel guide will provide some places you can visit. In this guide, we will discuss their culture, food, and other things you should expect.New ZealandNew Zealand has proven to be the world’s safest place to travel after Iceland and it is known for its wonderful dishes such as Fish and Chips, Hokey Pokey ice cream, etc. Whangarei Falls is a 26.3-metre high waterfall with a beautiful view that makes it one of the most photogenic waterfalls. BelizeA visit to Belize would give you experiences such as world-class diving, explorations of jungles, etc. When you are in Belize, you should try the following foods: Rice and Beans, Tamales, Stewed Chicken, Fry Jacks and lots more. Belize is known for Mayan ruins and caves and jungle adventures, and it is also known as “Mother Nature’s Best Kept Secret”.GreenlandGreenland is said to be a place where you do not have to worry about crime, so you need not worry too much about your safety. It is located between the Arctic and Atlantic oceans, and it is the world’s largest island. Major tourist offers in Greenland include trips on hiking, tours on dog sledding, watching icebergs, etc.TunisiaTunisia is said to be one of the most visited African countries. Some attractive places include its great capital city Tunis, the beach resorts of Mahdia and Kasbah Square in Tunis. Tunisia is popular for its beaches which have pocket-friendly expensive items. Tunisians are always willing to help. Some of the delicious dishes that Tunisians enjoy include Tabouna Bread, Tajine Maadnous, Tunisian Meat Dishes, etc.1．What can visitors enjoy in New Zealand?A．Mayan ruins.B．Golden beaches.C．The beautiful waterfall.D．Jungle adventures.2．Which place should you go to if you are fond of diving?A．New Zealand.B．Tunisia.C．Greenland.D．Belize.3．What can be known about Tunisia?A．Tunisians are both warm and friendly.B．It’s famous for its delicious dishes.C．Tunis is the world’s largest port city.D．It offers first-class hiking experiences.The winter break is just about to end. Soon we will be back at school. It’s with both happiness and sadness. I look very much forward to seeing my friends and starting practice again, but it also means I’m officially(正式地) half way through the exchange year. With school starting there are new things to try out and experience. For example? I’m starting a new sport, Track. It’s similar to Cross Country, which I did from August till November.Being here for half a year now? I can easily tell the differences between my two schools. The hardest or most different part for me was to have the same schedule every day here. Honestly, I prefer to have different classes every day, as I did in my home country. However, I have fallen in love with the Friday football games. Football is one of my favorite sports now. Before I came, I knew nothing about it. Now I love it, especially to watch it with my host parents. I have also been so lucky to go to two college football games.Before I left school in December, I had a couple of tests called Mid-term Test. They all went pretty smooth, mostly because I didn’t have too many hard classes. My favorite class was English, and also my hardest. Personally I really liked English, where I could write essays(文章), challenge writing skills and improve English talking.Only four days of winter break is left. A part of me wants to be on a break forever, and the other part expects to get started again, start a new sport and see my friends and classmates. 4．Why does the author feel sad before school starts again?A．Her homework is not finished.B．The exchange year will end soon.C．Her school life will get harder.D．The new sport no longer attracts her. 5．How does the school in the author’s home country differ from the one she is in now?A．The courses are richer.B．The teachers are kinder.C．The meals are healthier.D．The holidays are longer.6．What does the author enjoy doing most with the host family?A．Having a talk in English.B．Playing video games.C．Watching football matches.D．Visiting her relatives.7．What does the underlined word “They” in the third paragraph refer to?A．Classes.B．Tests.C．Games.D．Students.Efforts were underway in Bangladesh to deliver food and drinking water to millions of people struggling after a heavy rain led to flooding, which struck a quarter of the country. There are around 3.5 million Bangladeshis at risk of river flooding every year according to a 2023 report by the World Bank.On Wednesday, at least 17 of the country’s 64 districts (地区), mostly in the northern and north-eastern Sylhet, were suffering from the natural disaster. Government officials said at least 36 people had been killed and about 4.5 million people had been stuck so far. The floods also caused damage to agriculture (农业), electricity, and clean water supply.Sylhet is among the worst affected, with several areas without electricity. “Many people are in great need of food and drinking water,” said Enam Ahmed, 45, living in the worst-hit Sunmaganj district. “There is water everywhere but no drinking water. Flood shelters are filled with people but they are not getting enough food,” he said.The situation in Bangladesh has been worsened by rainwater falling down from the surrounding hills of India’s Meghalaya state, which received more than 970 mm (about 38 inches) of rain on Sunday, according to a government report.“The flood situation in the three Barak valley districts continues to be very serious. Army rescuers have evacuated (疏散) thousands of trapped people to safe places. 14 rescue teams with more than 70 boats and over 400 men have been pressed into action in the heavily flooded districts,” said a local flood control official. About 5.5 million people have been displaced, about 3.7 million of whom are staying in government-run temporary (临时的) shelters on higher ground.Locals in the flood-affected areas said they had never seen such serious floods before. 8．What is the second paragraph mainly about?A．The role played by government officials.B．The people trapped in the disaster.C．The number of districts in the country.D．The damage caused by the floods. 9．What do we know about the flood shelters?A．There is a crying need for food.B．They can provide enough clean water.C．They are too old to hold people.D．There are few villagers staying inside. 10．Why has the situation in Bangladesh become worse and worse?A．By rain falling down from the neighboring hills.B．By surrounding rivers overflowing.C．By breaking of dams.D．By never experiencing such serious floods.11．What can we infer from the text?A．More rescue efforts are needed.B．The floods hit the whole country.C．The disaster is the biggest ever.D．Rivers nationwide are at risk.Last month, a study was published that examined climate change’s direct effects on the Earth’s seasons. Scientists found a connection between climate change and the temperature and duration of the summer season. Summers in the Northern hemisphere(北半球) could last nearly six months by the year 2100 if global warming continues, according to the study. With the seasons off-balance, there will be harmful effects on human health and agriculture.Yuping Guan, a physical oceanographer at the State Key Laboratory of Tropical Oceanography at the Chinese Academy of Sciences, and his colleagues combined daily climate data from 1952 to 2011 to get a sense of the start and end of each season in the Northern hemisphere. Over the nearly 60-year period, they discovered that, on average, summers grew from 78 to 95 days, while winters shortened from 76 to 73 days. The spring and autumn seasons also shortened. Guan and his team used the findings from the data to create a model to hypothesize (假设) about how the seasons would possibly change in the future. They found that if left untouched, summers in the Northern hemisphere could last nearly six months, while winters could contract to less than two months.If the Earth’s seasons continue to shift, it will bring negative effects to human health and agriculture. Longer and hotter summers, for example, can cause mosquitoes and otherdisease-carrying insects to potentially expand their scope and land in places where they’re usually not found. “Because seasons influence the life cycles of plants and animals, climate change could disturb species’ ability to adapt,” said Scott Sheridan, a climate scientist. “If seasons continue to change, everything isn’t going to change perfectly as they should. If we take the example of flowers coming out of the ground, those flowers could come out, but bees aren’t there to pollinate them yet or they’re already past their peak.” With negative effects like these, human health and agriculture will face hardship while moving forward.This study further demonstrates how cruel climate change is to humans, plants and animals, reminding us how much we are all connected with the environment we share.12．What did scientists find according to the study?A．Some seasons will disappear in their tracks.B．Global warming will be at its worst in 2100.C．Climate change affects the days of summers.D．Human health remains unharmed by climate change.13．What does the underlined word "contract" in the second paragraph mean?A．Add.B．Extend.C．Keep.D．Shorten. 14．What can we infer about the effects of longer and hotter summers?A．Mosquitoes can survive in more places.B．The environment will change as we wish.C．Human health and agriculture are hardly affected.D．Some species are more able to adapt to the change.15．Which of the following is the best title for the text?A．Is the Earth getting warmer?B．Is climate change bringing hardship?C．Is mankind to blame for longer summers?D．Is summer taking over from all other seasons?How to make friends at a new schoolHave you entered a new school? 16 There are tons of different ways to connect with your classmates, as long as you’re willing to take a leap of faith. We’ve put together some tips andsuggestions to help you along the way.·Use social media to your advantage.Social media makes it easier to build connections with your schoolmates. A quick comment (评论), retweet (转发), or message can be enough to start a new friendship. 17 Comment and let him know you love his technique. By putting yourself out there and being friendly, you,might make new friends.·18That person might be in the same boat as you are. Instead of joining a crowded table or finding an empty area for yourself, look for someone sitting by themselves. This is an easy way to start a conversation with someone new. In the cafe, you might ask “Is this seat taken?” or “Can I sit with you?” before sitting down.·Lend a hand.19 You might help someone pick up his dropped textbooks and notebooks, or lend a pencil to a classmate in need. Being kind and considerate is a great way to separate yourself from the rest of the crowd. You might offer part of your lunch to someone who forgot their lunch money, or offer to deliver homework to a student who missed class.·Make eye contact and smile.You’ll seem more approachable to your new classmates if you look friendly. When you walk in the halls, hold your head up high and make eye contact with a few other people. 20 If they smile back at you, try saying hi so you can get to know them.A．Approach someone sitting alone at lunch.B．Helping a classmate could be a great opportunity for friendship.C．Is he reading a good book, or wearing a fashionable T-shirt?D．However, with a few tricks, you can learn to make more friends at school.E．Someone at your school posted a video of a cool painting he is working on.F．Being a new student can feel pretty stressful at first, but you have nothing to fear.G．Even if you don’t know the person, offer a kind smile to show that you’re positive and friendly.二、完形填空There was not a single record of autism (自闭症) in my family until I was born. When I was 2, my parents noticed my “ 21 ” behavior. I always placed my toys in a straight line.22 my moods changed quickly. They took me to see a doctor, who told them I was autistic. It was 1999, a time when autism was not commonly 23 and was still being studied. Myparents were shocked and worried.Then I got older, and I began to change from 24 myself to communicating with other kids once I attended school. The other kids answered questions in class more 25 than I could understand. It took me two minutes to come up with a(n) 26 to the best of my ability. Then, I started receiving the special 27 for my coursework, such as sitting in the front of the class to read the board better, and spending more time on tests.In Grade 4, my parents encouraged me to join my school’s marching band; it was a great 28 to make friends and help develop confidence in myself. At the same time, I 29 my talent for creative writing.All these years, I was 30 of my disease. However, one day when I was 15, I found a piece of paper in our house, which 31 that I had autism. At that moment, I finally learned the 32 about myself. My parents had 33 it because they didn’t want it to affect me. And I understood that, so I wasn’t mad at them.It took me a while to truly 34 who I am. If any of you need advice on how to live a life with autism, I will be happy to share my 35 as an autistic person. Remember, you are never alone.21．A．bad B．social C．awkward D．unusual 22．A．Instead B．Besides C．Anyway D．However 23．A．reported B．followed C．noticed D．understood 24．A．keeping to B．believing in C．focusing on D．concentrating on 25．A．simply B．directly C．quickly D．seriously 26．A．strategy B．answer C．plan D．solution 27．A．requirement B．experiment C．improvement D．treatment 28．A．adventure B．honor C．way D．excuse 29．A．wasted B．disliked C．discovered D．considered 30．A．unaware B．frightened C．nervous D．tired 31．A．commented B．proved C．argued D．recognized 32．A．truth B．opinion C．lesson D．source 33．A．changed B．doubted C．hidden D．forgotten 34．A．show B．accept C．explore D．remember35．A．character B．interests C．findings D．experience三、语法填空阅读下面材料，在空白处填入1个适当的单词或括号内单词的正确形式。

2024届高三考前全真模拟考试英语时间：120分钟总分：150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，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 shirtA. 19.15.B. 9.18.C. 9.15.答案是C。

1. What will the speakers do nextA. Check the map.B. Leave the restaurant.C. Park the car.2. Where are the speakersA. At a bus stop.B. At home.C. At the airport.3. What did the speakers do last weekA They had a celebration dinner.B. They went to see a newborn baby.C. They sent a mail to their neighbors.4. Why does the man make the phone callA. To cancel a weekend trip.B. To make an appointment.C. To get some information.5 What does the man probably want to doA. Do some exercise.B. Get an extra key.C. Order room service.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。

2022-2023高三上英语期末模拟试卷考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。

2．第一部分选择题每小题选出答案后，需将答案写在试卷指定的括号内，第二部分非选择题答案写在试卷题目指定的位置上。

3．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

第一部分（共20小题，每小题1.5分，满分30分）1．—Do you know why the teacher asks for me?—He wants you to ________ your absence last night.A．account for B．call forC．send for D．reach for2．— I wonder what chance there is of me passing by the old places without thinking of you.— ______. Time cures all wounds.A．My pleasure B．Don’t mention it C．I can’t agree m ore D．Never mind 3．Soon after getting off his horse, the captain appeared at the second-floor windows, ______ he could see nothing but trees.A．where B．from whereC．which D．from which4．—I am wondering ________ makes you study so hard?—To go to my dream university.A．what is it that B．that is whatC．what is that D．what it is that5．Doris Lessing，an author who has had a fascinating life，lived in Iran _______ she was five before moving to Zimbabwe．A．unless B．sinceC．until D．after6．At the back of the old temple __________ twelve huge stone statues together with__________ pagoda.A．does stand; a 8-storeyed B．do stand; a 8- storyC．stands; an 8-storey D．stand; an 8- storied7．—Jenny, how was your trip to Beijing?—Oh, I missed it. I wish I ________ my vacation there.A．am spending B．will spend C．have spent D．had spent8．Look! Here’ s a photo ______ in my classroom at primary school. Can you recognizeme in it?A．taken B．takingC．to take D．being taken9．Tom’s score on the test is the highest in the c lass. He _____.A．should study last nightB．should have studied last nightC．must have studied last nightD．must study last night10．—What did you say you were reluctant to risk just now?—_________ to high levels of radiation.A．Being exposed B．Having been exposedC．To be exposed D．Exposed11．— Someone wants you on the phone.— ________ nobody knows I am here.A．Although B．AndC．So D．But12．The little girl ________ a foreign language fairly quickly.A．picked up B．got up C．stepped up D．made up13．Right now, lots of people search for products on the Internet but still buy them at stores. Internet shopping will really ____ when people are sure that it is safe.A．set up B．set off C．take off D．take up14．It was the natural disaster, rather than human errors, that ________ for the death of so many innocent people.A．are blamed B．was to blame C．was blamed D．were to blame 15．———It was a green dinner. _______———Thanks. But it really only took an hour.A．You must be tired. B．I enjoyed it very much.C．You must have spent all day cooking. D．I have never had it before.16．They went to the street to ________ to the whole city to help the poor boy. A．apply B．appealC．add D．reply17．“ ________ I went through ups and downs in life，” Gordon said, “I never found the imp ortance of being self­disciplined as well as the significance of life.”A．If B．SinceC．Until D．Unless18．I certainly expect to be elected best student of the year. It’s really ________! A．a good Samaritan B．a wet blanketC．a feather in my cap D．a piece of cake19．World Food Day is held each year to underline the progress that ________ against hunger and that still needs to be made.A．is made B．was madeC．has been made D．will be made20．Nowadays, the Internet is a popular ________ for the public to access information and voice their opinions.A．track B．trendC．channel D．lane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。

河南省郑州市第一中学2022-2023学年高二下学期期中考试数学试题一、单选题1．已知数列{}n a 是等比数列，23a =，519a =，则公式q 等于（ ） A ．13- B ．-3 C ．3 D ．132．函数()ln 25y x x =+的导数为（ ）A ．()ln 2525x x x +-+ B ．()ln 25225x x x +++ C ．()2ln 25x x +D ．25x x + 3．2021年重庆市实行“312++”新高考模式，学生选科时语文、数学、英语三科必选，物理、历史两科中选择1科，政治、地理、化学、生物四科中选择2科，则学生不同的选科方案共有（ ）A ．8种B ．12种C ．15种D ．20种 4．已知函数()f x 及其导函数()f x '，若存在0x 使得()()00f x f x '=，则称0x 是()f x 的一个“巧值点”.下列选项中没有“巧值点”的函数是( )A ．()2f x x =B ．()ln f x x =C ．()e x f x -=D ．()cos f x x =5．已知数列{}n a 满足11a =， 且1111(1)2n n n a a +-=≥，则15a 等于（ ） A ．18 B ．17 C ．13 D ．8156．杨辉三角是二项式系数在三角形中的一种几何排列，在中国南宋数学家杨辉1261年所著的《详解九章算法》一书中就有出现.在欧洲，帕斯卡（1623～1662）在1654年发现这一规律，比杨辉要迟了393年.如图所示，在“杨辉三角”中，从1开始箭头所指的数组成一个锯齿形数列：1，2，3，3，6，4，10，5，…，则在该数列中，第37项是A ．153B ．171C ．190D ．2107．已知正项数列{an }满足a 1＝1，(n ＋2) 21n a +－(n ＋1) 2n a ＋anan ＋1＝0，则它的通项公式为（ ）A ．an ＝11n + B ．an ＝21n + C ．an ＝12n + D ．an ＝n8．已知对任意的()0,x ∈+∞，不等式()()e 11ln 0kx kx x x +-+>恒成立，则实数k 的取值范围是（ ）A ．()e,+∞B ．1,e e ⎛⎫ ⎪⎝⎭C ．1,e ⎛⎫+∞ ⎪⎝⎭D ．211,e e ⎛⎫ ⎪⎝⎭二、多选题9．下列说法正确的是（ ）A ．30-是等差数列1-，5-，9-，…的第8项B ．在等差数列{}n a 中，公差0d >，则数列{}n a 单调递增C ．存在实数a ，b ，使1，a ，2-，b ，4成等比数列D ．若等比数列{}n a 的前n 项和为n S ，则3S ，63S S -，96S S -成等比数列10．已知函数()f x 的导函数()f x '的图象如图所示，则下列判断正确的是（ ）A ．在区间(1,1)-上，函数()f x 是增函数B ．在区间(2,3)上，函数()f x 是减函数C ．2-为函数()f x 的极小值点D ．2为函数()f x 的极大值点11．回文数是指从左到右与从右到左读都一样的正整数，如22，121，3443，94249等，显然两位回文数有9个：11，22，33，…，99；三位回文数有90个：101，111，121，…，191，202，…，999.下列说法正确的是（ ）A ．四位回文数有90个B ．四位回文数有45个C ．21n +（*n ∈N ）位回文数有910n ⨯个D ．21n +（*n ∈N ）位回文数有10n 个12．已知函数4()sin f x x x=-，且当0x >时，()f x a <，则（ ） A ．()f x 只有4个极值点B ．()f x 在2π0,3⎛⎫ ⎪⎝⎭上是增函数 C ．当0x <时，()f x a >-D ．实数a 的最小值为1三、填空题13．已知曲线()y f x =在点()()2,2M f 处的切线方程是25y x =+，则()()22f f '+的值为． 14．已知等差数列{}n a 的通项公式414n a n =-，记其前n 项和为n S ，那么当n =时，n S 取得最小值．15．某种产品有4只次品和6只正品，每只产品均不相同且可区分，今每次取出一只来测试，直到这4只次品全测出为止，则最后一只次品恰好在第五次测试时被发现，则不同情况种数是（用数字作答）16．定义在(0,)+∞上的函数()f x 满足2()10x f x '+<，5(2)2f =，则关于x 的不等式1(ln )2ln f x x >+的解集为.四、解答题17．用0，1，2，3，4这5个数字，可以组成多少个满足下列条件的没有重复数字五位数？(1)组成五位偶数；(2)组成千位数字和十位数字是奇数的偶数．18．已知数列{}n a 的前n 项和为n S ，且满足2(N*).n n S n a n +=∈(1)求证：数列{1}n a +为等比数列；(2)求数列{}n a 的前n 项和n S .19．已知a ∈R ，函数()ln 1a f x x x=+-． （Ⅰ）当1a =时，求曲线()y f x =在点(2,(2))f 处的切线方程．（Ⅱ）求()f x 在区间(0,e]上的最小值．20．记n S 为等差数列{}n a 的前n 项和，已知，21224a a +=.11121S =（1）求{}n a 的通项公式；（2）令121n n n b a a ++=，12n n T b b b =+++L ，若240n T m -≥对一切*n N ∈成立，求实数m 的最大值.21．已知数列{}n a 中，14a =，()()1*11232,.n n n a a n n n --=+++≥∈N (1)证明数列{2}n n a n -是等差数列，并求{}n a 的通项公式;(2)设2n n na b =，求n b 的前n 项和.n S 22．已知函数()ln 2f x x x =--．(1)求出函数()f x 的极值；(2)若对于任意的()1,x ∈+∞，都有()ln 12k x x x x +>-，求整数k 的最大值．。

河南省安阳市林州市第一中学2024-2025学年高三上学期8月月考英语试题一、听力选择题1．At what time will the flight arrive?A．1:00 pm.B．1:30 pm.C．2:30 pm.2．Why was Marvin away?A．Because he was on sick leave.B．Because he had to look after his father.C．Because he went sightseeing in Argentina.3．What does the woman agree to do?A．Take a train.B．Change the seats.C．Sit next to her mom. 4．What does the man mean?A．The major is unfit for him.B．He is unwilling to take a test.C．He wants to be a news reporter.5．What will Peter do after dinner?A．Play football.B．Go home.C．Watch a match.听下面一段较长对话，回答以下小题。

6．Who is the new exchange student?A．Li Yang.B．Tara.C．Lucy.7．Where is Redding?A．In California.B．In Tokyo.C．In New Delhi.听下面一段较长对话，回答以下小题。

8．When did the woman start running in the park?A．Today.B．One month ago.C．One year ago.9．What is Plogging according to the man’s introduction?A．A global trend that started this year.B．An activity for the benefit of marathon runners.C．A new trend combining picking up trash and running.10．Why is Plogging becoming popular?A．Because of the good effect of losing weight.B．Because of the desire to be close to nature.C．Because of the increasing awareness of the plastic problems.听下面一段较长对话，回答以下小题。

河南省郑州市第一中学2024-2025学年高一上学期第一次模拟测试数学试题一、单选题1．设全集U R =，(){}{}30,1M x x x N x x =+<=<-，则如图中阴影部分表示的集合为（ ）A ．{|1}x x ≥-B ．{|30}-<<x xC ．{|3}x x ≤-D ．{|10}x x -≤< 2．命题“x ∃∈R ，310x x +>”的否定是（ ） A ．x ∃∈R ，310x x+≥ B ．x ∃∈R ，310x x +≤ C ．x ∀∈R ，310x x +≤ D ．x ∀∈R ，310x x +> 3．已知函数()()2,1,2,1x x f x f x x -≤⎧=⎨>⎩的值为（ ） A ．2- B ．0 C ．2 D ．44．已知3()2f x x x =+，若a ，b ，c ∈R ，且0a b +>，0a c +>，0b c +>，则()()()f a f b f c ++的值（ ）A ．大于0B ．等于0C ．小于0D ．不能确定 5．函数()22111x f x x +=-+的部分图象大致为（ ）A ．B ．C ．D ．6．已知0a b >>，则下列不等式一定成立的是（ ）A ．22a b a b +>+B ．2()4a b ab +≤C ．2b a a b +<D ．22b b a a +<+ 7．已知Z a ∈，关于x 的一元二次不等式280x x a -+≤的解集中有且仅有3个整数，则a 的值不可能是（ ）A ．13B ．14C ．15D ．168．已知函数212,()23,3x c f x x x x c x ⎧-+<⎪=⎨⎪-+≤≤⎩，若()f x 的值域为[2,6]，则实数c 的取值范围是（ ）A ．11,4⎡⎤--⎢⎥⎣⎦B ．1,04⎡⎫-⎪⎢⎣⎭C ．[1,0)-D ．11,2⎡⎤--⎢⎥⎣⎦二、多选题9．下列函数中，既是奇函数，又在(0,)+∞上单调递增的是（ ）A．()f x B ．()||f x x x =C ．2()1x x f x x -=- D ．3()f x x = 10．命题“[1,2)x ∀∈，20x a -≤”为真命题的一个充分不必要条件可以是（ ）A ．4a ≥B ．5a >C ．6a ≥D ．7a >11．设x 为实数，不超过x 的最大整数称为x 的整数部分，记作[]x .例如[1.2]1=，[ 1.4]2-=-.称函数()[]f x x =为取整函数，下列关于取整函数()f x 的结论中正确的是（ ）A ．()f x 在R 上是单调递增函数B ．对任意x ∈R ，都有()1f x x >-C ．对任意x ∈R ，k ∈Z ，都有()()f x k f x k +=+D ．对任意x ，y ∈R ，都有()()()f xy f x f y =三、填空题12．用列举法表示6N N 1a a ⎧⎫∈∈=⎨⎬-⎩⎭∣． 13．函数()f x 是R 上的偶函数， 且当0x >时，函数的解析式为2()1f x x=-，则(1)f -=；当0x <时，函数的解析式为.14．已知a ，b 为非负实数，且21a b +=，则22211a b a b +++的最小值为.四、解答题15．已知全集R U =，集合{}2|560A x x x =-+>，{|230}B x x =->.(1)求A B ⋂；(2)求()()U U A B U 痧.16．设命题[]:1,1p x ∀∈-，使得不等式2230x x m --+<恒成立；命题[]:0,1q x ∃∈，不等式2223x m m -≥-成立．(1)若p 为真命题，求实数m 的取值范围；(2)若命题p 、q 有且只有一个是真命题，求实数m 的取值范围．17．设函数()22a f x x a x+=-+为定义在(,0)(0,)-∞+∞U 上的奇函数. （1）求实数a 的值；（2）判断函数()f x 的单调性，并用定义法证明()f x 在(0,+∞)上的单调性.18．已知某园林部门计划对公园内一块如图所示的空地进行绿化，用栅栏围4个面积相同的小矩形花池，一面可利用公园内原有绿化带，四个花池内种植不同颜色的花，呈现“爱我中华”字样．(1)若用48米长的栅栏围成小矩形花池（不考虑用料损耗），则每个小矩形花池的长、宽各为多少米时，才能使得每个小矩形花池的面积最大？(2)若每个小矩形的面积为983平方米，则当每个小矩形花池的长、宽各为多少米时，才能使得围成4个小矩形花池所用栅栏总长度最小？19．已知集合A 中含有三个元素,,x y z ，同时满足①x y z <<；②x y z +>；③x y z ++为偶数，那么称集合A 具有性质P .已知集合{}1,2,3,,2n S n =L *(N ,4)n n ∈≥，对于集合n S 的非空子集B ，若n S 中存在三个互不相同的元素,,a b c ，使得,,+++a b b c c a 均属于B ，则称集合B 是集合n S 的“期待子集”.(1)试判断集合{}1,2,3,5,7,9A =是否具有性质P ，并说明理由；(2)若集合{}3,4,B a =具有性质P ，证明：集合B 是集合4S 的“期待子集”；(3)证明：集合M 具有性质P 的充要条件是集合M 是集合n S 的“期待子集”.。

河南省郑州市第⼀中学2020届⾼三上学期期中考试英语试卷（有答案）河南省郑州市第⼀中学2020届⾼三上学期期中考试英语试卷说明:1 .本试卷分第I卷（选择题）和第II卷（⾮选择题）满分150分，考试时间120分钟。

2.将第I卷的答案代表字母填（涂）在第Ⅱ卷的答题卷（答题卡）中。

第Ⅰ卷第⼀部分听⼒（共20⼩题，每⼩题1.5分，共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，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。

第⼀节（共5⼩题；每⼩题1.5分，满分7.5分）1 .What does the woman want to do?A. To have an X ray.B.To go to the hospital,C.To help the wounded man.2. Where and when will the meeting be held?A. Room 303, 3:00 pm.B. Room 303, 2:00 pm.C. Room 302,2:00 pm.3. When would Thomas and Lily like to leave?A. Tomorrow.B. Next Monday or Tuesday.C. This Monday4. What is the man's choice?A. He prefers train for trip.B. He doesn't like traveling. C Not mentioned.5. According to the woman, what should the man do at first?A. He should ask about the flat on the phone.B. He should read the advertisements for flats in the newspaperC. He should phone and make an appointment.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。

河南省郑州市第一中学2024-2025学年高二上学期10月质量检测数学试题一、单选题1．设直线:80l x +=的倾斜角为α，则α=（ ） A ．30oB ．60oC ．120oD ．150o2．已知平面α的一个法向量为)42(n m =-r ,,，直线l 的一个方向向量为)1,(3,2u =--r，若//l α，则m =（ ） A ． 2-B ．1-C ．1D ．23．已知直线1:250l x y ++=与2:30l x ay b ++=平行，且2l 过点()3,1-，则ab=（ ） A ．3-B ．3C ．2-D ．24．如图，在正三棱锥P ABC -中，点G 为ABC V 的重心，点M 是线段PG 上的一点，且3PM MG =，记,,PA a PB b PC c ===u u u r r u u u r r u u u r r ，则AM =u u u u r（ ）A ．311444a b c -++r r rB ．311434a b c -++r r rC ．111444a b c -++r r rD ．111434a b c -++r r r5．已知从点()1,5-发出的一束光线，经过直线220x y -+=反射，反射光线恰好过点()2,7，则反射光线所在的直线方程为（ ） A ．2110x y +-= B ．410x y --= C ．4150x y +-=D ．90x y +-=6．如图，在直三棱柱111ABC A B C -中，ABC V 是等边三角形，1AA =2AB =，则点C 到直线1AB 的距离为（ ）ABCD7．已知实数,x y 满足21y x =-，且12x -≤≤，则63y x --的取值范围为（ ）A ．[)9,3,4∞∞⎛⎤--⋃+ ⎥⎝⎦B ．93,4⎡⎤-⎢⎥⎣⎦C ．[)9,3,4∞∞⎛⎤-⋃+ ⎥⎝⎦D ．9,34⎡⎤⎢⎥⎣⎦8．在正三棱锥P ABC -中，3PA AB ==，点M 满足()2PM xPA yPB x y PC =++--u u u u r u u u r u u u r u u u r，则AM 的最小值为（ ） ABCD．二、多选题9．已知空间向量()()()1,2,3,23,0,5,2,4,a a b c m =+=-=r r r r ，且ar//c r，则下列说法正确的是（ ） A．b =rB ．6m =C ．()2b c a +⊥r r rD．cos ,b c =r r 10．下列说法正确的是（ ）A ．任何一条直线都有倾斜角，不是所有的直线都有斜率B ．若一条直线的斜率为tan α，则该直线的倾斜角为αC ．11y y k x x -=-不能表示过点()11,x y 且斜率为k 的直线方程 D ．设()()1,3,1,1A B -，若直线:10l ax y ++=与线段AB 有交点，则a 的取值范围是][(),42,-∞-⋃+∞11．如图，在棱长为2的正方体1111ABCD A B C D -中，点,P M 是底面1111D C B A 内的一点（包括边界），且AP BM AC =⊥，则下列说法正确的是（ ）A ．点P 的轨迹长度为πB ．点M 到平面1A BD 的距离是定值C ．直线CP 与平面ABCDD ．PM 1三、填空题12．过点()3,1且在x 轴､y 轴上截距相等的直线方程为.13．已知向量0()(323137)(2)a b c λ=-=--=r r r,,,,,,,,,若,,a b c r r r 共面，则λ=14．如图，在正三棱柱111ABC A B C -中，12,AB AA M =为棱11B C 上的动点（包括端点），N 为AM 的中点，则直线CN 与平面11ABB A 所成角的正弦值的取值范围为．四、解答题15．已知ABC V 的顶点坐标为()()()1,6,3,1,4,2A B C ---. (1)若点D 是AC 边上的中点，求直线BD 的方程； (2)求AB 边上的高所在的直线方程.16．如图，在直三棱柱111ABC A B C -中，1,AB AC AB AC AA ⊥==，点,E F 分别为棱11,AB A B 的中点.(1)求证：//AF 平面1B CE ；(2)求直线1C E 与直线AF 的夹角的余弦值.17．如图，在直四棱柱1111ABCD A B C D -中，四边形ABCD 是矩形，11,2AC DB AA ⊥=，点P 是棱1DD 上的一点，且12DP PD =.(1)求证：四边形ABCD 为正方形； (2)求直线1AD 与平面PAC 所成角的正弦值.18．已知直线:250l kx y k -+-=与坐标轴形成的三角形的面积为S . (1)当92S =时，求直线l 的方程； (2)针对S 的不同取值，直线l 构成集合A ，讨论集合A 中的元素个数.19．如图，在四棱锥P ABCD -中，四边形ABCD 为矩形，2AB BC ==，平面PAC ⊥平面ABCD ，且PA PC =，点,E F 分别是棱,AB PC 的中点.(1)求证：DE 平面PAC；①求PA的长；②求平面PDE与平面FDB的夹角的余弦值.。

郑州一中2022～2023学年上学期期中考试高一（数学）试题说明： 1．本试卷分第Ⅰ卷（选择题）和第Ⅱ卷（非选择题），满分150分。

2．考试时间：120分钟。

3．将第Ⅰ卷的答案代表字母填（涂）在答题卡上。

第Ⅰ卷 （选择题，共60分）一、单项选择题(本题共8小题，每小题5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．已知集合，，则（ ）A ．B ． C ．D ．2．已知非空数集A ，B ，命题p ：对于，都有，则p 的否定是（ ）A ．对于，都有B ．对于，都有C ．，使得D ．，使得3．函数f (x )＝2x ＋13－x－(x ＋3)0的定义域是（ ）A ．(－∞，－3)∪(3，＋∞) B. (－∞，－3)∪(－3，3)C ．(－∞，－3)D ．(－∞，3)4.祖暅原理也称祖氏原理，一个涉及几何求积的著名命题．内容为：“幂势既同，则积不容异”．“幂”是截面积，“势”是几何体的高．意思是两个等高的几何体，如果在等高处的截面积相等，则体积相等．设A ，B 为两个等高的几何体，p ：A ，B 的体积相等，q ：A ，B 在同一高处的截面积相等．根据祖暅原理可知，p 是q 的（ ）A.充分必要条件 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5.关于的不等式的解集为，则关于的不等式 的解集为 （ ）A ．B ．C ．D ．6.定义在上的偶函数满足：对任意的，有{}0,1,2,3,4,5A ={}15B x x =∈-<<N A B = {}2,3,4{}1,2,3,4{}0,1,2,3,4{}0,1,2,3,4,5x A ∀∈x B ∈x A ∀∈x B ∉x A ∀∉x B ∉0x A ∃∈0x B ∈0x A ∃∈0x B∉x 220ax bx ++>(1,2)-x 220bx ax -->(2,1)-(,2)(1,)-∞-+∞ (,1)(2,)-∞-+∞ (1,2)-R ()f x [)()12120,,x x x x ∈+∞≠，则，，的大小关系为（ ）A ．B ．C ．D ．7.函数的图象大致为（ ）A ． B ． C ． D ．8．中国宋代数学家秦九韶曾提出“三斜求积术”，即假设在平面内有一个边长分别为的三角形，其面积可由公式求得，其中，这个公式也被称为海伦-秦九韶公式，现有一个三角形的三边长满足，则此三角形面积的最大值为（ ）A ．6B ．610C ．12D ．1210二、多项选择题(本题共4小题，每小题5分，共20分．在每小题给出的四个选项中有多个选项是符合题目要求的，全部选对的得5分，部分选对的得2分，有选错的得0分)．9．下列叙述正确的是( )A.若P ＝{(1，2)}，则B.{x |x >1}⊆{y |y ≥1}C.M ＝{(x ，y )|x ＋y ＝1}，N ＝{y |x ＋y ＝1}，则M ＝ND.{2，4}有3个非空子集10．若 则( )A ．B ．C ．D．11．若，则下列关系正确的是( )A ．B ．CD ．12．已知，都是定义在上的函数，其中是奇函数，是()()21210f x f x x x -<-()2f -()2.7f()3f -()()()2.732f f f <-<-()()()2 2.73f f f -<<-()()()32 2.7f f f -<-<()()()3 2.72f f f -<<-()112x f x ⎛⎫=- ⎪⎝⎭a b c ，，S S =1=)2p a b c ++（146a b c +==，P ∅∈0a b >>22ac bc >a c b c ->-22a b>11a b <4455x y x y ---<-x y <33y x -->>133y x-⎛⎫< ⎪⎝⎭()f x ()g x R ()f x ()g x偶函数，且，则下列说法正确的是( )A ．为偶函数B ．C ．为定值D ．第Ⅱ卷 （ 非选择题，共90分）三、填空题（本题共4小题,每小题5分,共20分．）13．已知集合A ＝{﹣1，0，1}，B ＝{a 2，1}，若B ⊆A，则实数a 的值是 ．14．若,则的取值范围是 ．15．已知函数(且)在区间上是减函数，则实数的取值范围是________．16．高斯是德国著名的数学家，用其名字命名的“高斯函数”为，其中表示不超过x 的最大整数.例如：，.已知函数，，若，则________；不等式的解集为________．四、解答题（本题共6小题，17题10分其它题均为12分，共70分．） 17．（本小题10分）（1）求值：；（2）已知，求值：.18．（本小题12分）设集合，集合．(1)若，求和(2)设命题，命题，若是成立的必要条件，求实数的取值范围．19．（本小题12分）在①，②这两个条件中任选一个，补()()2x f x g x +=()()f g x ()00g =()()22g x f x -()()2,02,0x x x f x g x x -⎧≥+=⎨<⎩33(1)(32)a a +<-a y =0a >1a ≠[1,2]a []y x =[]x [ 2.1]3-=-[3.1]3=()()|1|3[]f x x x =--[)0,2x ∈5()2f x =x =()f x x ≤()31211203320.2521624------⨯⨯+⎛⎫⎛⎫ ⎪ ⎪ ⎪ ⎪⎝⎭⎝⎭11223(0)a a a -+=>22111a a a a --++++{|13}A x x =-<<{|22}B x a x a =-<<+2a =A B A B:p x A ∈:q x B ∈p q a []2,2x ∀∈-[]1,3x ∃∈充到下面问题的横线中，并求解该问题．已知函数．(1)当时，求函数在区间上的值域；(2)若______，，求实数a 的取值范围．20.（本小题12分）某公司生产某种电子仪器的固定成本为20000元，每生产一台仪器需要增加投入100元，设月产量为台，当不超过400台时总收入为元，当超过400台时总收入为80000元.(1)将利润（单位：元）表示为月产量的函数；(2)当月产量为何值时，公司所获利润最大？最大利润为多少元？（总收入=总成本+利润）21．（本小题12分）已知不等式的解集为.(1)求的值，(2)若，，，求的最大值.22．（本小题12分）已知函数，．(1)证明：函数在上单调递增；(2)若存在且，使得的定义域和值域都是，求的取值范围．0m n <<()24f x x ax =++2a =-()f x []22-,()0f x ≥x x 214002x x -x P x 5111133x +≤≤（（）[],a b a b ，0m >0n >0bm n a ++=mn m n+()2211a f x a a x+=-0a >()f x ()0,+∞,m n ()f x [,]m n a。