黑龙江省哈三中2020-2021学年高二上学期10月阶段性测试英语试卷及答案
英语丨黑龙江省哈尔滨市第三中学2025届高三10月月考英语试卷及答案
哈三中2024-2025学年度上学期高三学年十月月考英语试卷第一部分听力（共两节，每小题1.5分，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，从题中给出的A,B,C三个选项中选出最佳选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。
每段对话仅读一遍。
1.What are the speakers doing?A.Doing an experiment.B.Trying to create smoke.C.Putting out a fire.2.What does the woman complain about?A.The poor movie set.B.The interruption to the movie.C.The delay of a football match.3.What are the speakers talking about?A.Hot peppers.B.A cake.C.Fruit and nuts.4.Why does the man mix thinner plastic and regular rubbish?A.It’s harmless.B.It’s wrongly classified.C.It’s unable to be recycled.5.How many points can be got if two balloons are hit?A.5points.B.6points.C.16points.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。
2020-2021学年黑龙江省哈尔滨三中高一(上)第二模块英语试卷+答案解析(附后)
2020-2021学年黑龙江省哈尔滨三中高一（上）第二模块英语试卷AKids Nature and Survival Camp Set free your kids' imagination and spirit of adventure at this camp, as they learn about the natural environment and the important skills of survival.Activity overview*44-day Camp in the Santa Cruz Mountains*Basic Survival Skills：Shelter, Water, Fire, Food*Expert Instructors - with a minimum of 10 years of experience*Set your own custom（定制的）camp dateDetails*The camp will run for 5 hours each day；9 am-2 pm.*This class is 100% hands-on and very active. Everything your kids learn, they will do-no indoor classrooms or long lectures.*Each day will center around one of the 4 main necessities of survival：SHELTER （day 1），WATER （day 2），FIRE （day 3），and FOOD （day 4）.Dates offered*We offer 1 public camp date each summer for ages 8-12. For 2021，that date is August 5-8 （9 am-2 pm each day）. To book that date for a child between the ages of 8-12，please click the REGISTER NOW link below.*We also arrange custom/private camp dates for both kids and teens all year round. Extra information*4- Day Camp：＄395*Add shuttle（班车）ride to/from downtown Santa Cruz for ＄160 （＄40 per day）*At this time we do not have shuttle service from the Silicon Valley side of the hill, but we do work to help organize carpools （拼车）from the LosGatos/Saratoga/Campbell area each year for interested parents.1. What will kids learn if they join the camp？______A. How to make long lectures.B. How to survive in the wild.C. How to organize a camp.D. How to improve their imagination.2. What's special about the class of camp？______A. It is free for all children.B. Children could learn it online.C. It is based on practicing in person to learn.D. Kids could book a public camp date each spring.3. Which of the following provides shuttle service？______A. Los Gatos.B. Santa Cruz.C. Saratoga.D. Campbell.BHow many times have you gone outside only to get your foot stuck in chewing gum （口香糖）on the sidewalk，or discovered a mass of Bubbalicious beneath（在...…之下） a table or desk？As far as environmental pollution goes，chewing gum is far from our largest problem— but for the average pedestrian （行人），it could well be among the most annoying.Chewing gum causes plenty of messes for local governments，too.When people leave their used gum on sidewalks，it's up to cities to pay for clean-up efforts：in the United Kingdom，it costs about 150 million pounds every year to cover the costs of removing the sticky gum from public walkways and facilities.But 25-year-old Anna Bullus has come up with a solution that could turn those used pieces of bright pink gum a lovely shade of green.She spent eight months collecting old gum and working with it in a lab，eventually creating a ball from the material，which she mixed with other materials to create the Bullus Recycled Gum Polymer （BRGP）."Yes，everyone thought I was mad and a little bit disgusting，" she told The Guardian.But Bullus'effort has paid off：she's used the BRGP to create pinkbubble-shaped bins（垃圾箱）which can be used to collect used pieces of gum.She's set up her "bubble bins" around Orpington College as a trail，but hopes to roll them out in more locations before long.Once the bins are full，both the bins and the gum inside them will be recycled to produce more BRGP— at which point，the possibilities are almost endless."The amazing thing is that you can use it for any plastic product，"Bullus said."I'd love to do some waterproof boots，for example.Gum boots，in fact.4. What does the author say about chewing gum in Paragraph 2？______A. It is a bad habit.B. It is hard to be removed.C. It is very popular in the U.K.D. It is the government's headache.5. What is "BRGP"？______A. It's a tool used to collect waste.B. It's a new brand of chewing gum.C. It's a mixture of recyclable materials.D. It's a product only made from used gum.6. Which words can be used to best describe Anna Bullus？______A. Creative and determined.B. Wise and lucky.C. Honest and helpful.D. Active and Humorous.7. Which of the following statements is NOT True______A. As for environmental pollution，chewing gum has been the largest problemso far.B. An idea struck Anna that she could make full use of the used gum.C. In many people's opinion，it is not a good idea to collect used gum and workwith it.D. To some degree，Anna has managed to handle the problem of chewinggum.CIn most situations，bystanders' responses like unhelpful comments or pieces of advice on a child's angry behavior can add to the stress of the situation.But sometimes bystanders truly understand，and sometimes their words or actions can make a positive difference.One mom experienced this firsthand.This mom was noticeably pregnant and travelling alone with her young son at a Los Angeles airport.Then things had taken a turn for the worse.The boy，about 18 months old，was in the midst of what Beth referred to as a "total meltdown".He was running all over the place，kicking，screaming，and flopping down （猛然躺下）on the floor，dead set on not getting aboard the plane.His mom did her best to calm him down，but，according to Beth，"She couldn't pick him up because he was so upset.He kept running away from her，then lying down on the ground，kicking and screaming again." Finally，the mom came to her wit's end.She sat down on the floor next to her son，buried her face in her hands，and began to cry.Then the most amazing thing happened.A group of six or seven women，Beth included，circled around the mother-son pairand did something to help.Beth sang him "The Isty-Bitsy-Sider".Another offered an orange.Another gave him a toy she had on hand.Another helped get his cup out of Mom's bag.Yet another tended to Mom by offering her a water bottle.With the help of these incredible women，the kid and his mother calmed down and were able to board the plane.And then life moved on.All of the strangers went their separate ways without speaking of what had happened.But Beth said it was something she'd never forget. "We were strangers，gathering to solve something，" she wrote. "It occurred to me that a circle of women，with a mission（任务），can save the world."8. What reaction of the bystanders is proper to a child's angry behavior？______A. Commenting on the situation.B. Stopping the child by beating him.C. Offering parents some advice.D. Understanding and trying to help.9. What does the underlined part came to her wit's end probably mean？______A. Burst into tears.B. Comforted her kid.C. Felt totally at a loss.D. Ran away from her kid.10. What were the group of women like？______A. Courageous.B. Calm.C. Professional.D. Considerate.11. What's the author's purpose in writing the text______A. To introduce some incredible women.B. To describe a great volunteer Beth.C. To call on people to care for children.D. To show how strangers can help out.DWe always convince ourselves that life will be better after we get married，have a baby，than another.Then we are upset that the kids aren't old enough and we'll be more satisfied when they are.After that we're upset that we have teenagers to deal with.We will certainly be happy when they are out of that stage.We always tell ourselves that our life will be complete when our spouse（配偶）gets his or her act together，when we get a nice car，and are able to go on a nice vacation，when we retire.The truth is that there's no better time than right now.If not now，when？Our life will always be filled with challenges.It's best to admit this to ourselves and decide to be happy anyway.One of my favorite quotes comes from Alfred D.Souza.He said，"For a long time it had seemed to me that life was about to begin - real life.But there was always some obstacle （障碍）in the way，something to be gotten through first，some unfinished business，time still to be served，or a debt to be paid.Then life would begin.At last I realized that these obstacles were my life."I have understood that there is no way to happiness.Happiness is the way.So treasure every moment that you have.And remember that time waits for no one.So stop waiting until you finish school，until you go back to school；until you get married，until you get divorced；until you have kids；until you retire；until you get a new car or home；until spring；until you are born again to decide that there is no better time than right now to be happy.Happiness is a journey，not a destination （目的地）.So work like you don't need money，love like you've never been hurt，and dance like no one is watching.12. Why do we always convince ourselves that life will be better after we getmarried，have a baby，than another？______A. Because we are always satisfied with our present life.B. Because we don't realize treasuring every moment means happiness.C. Because no one will be happy until he gets married.D. Because we will be happy without a kid.13. In the opinion of the writer，we should ______ .A. wait for happiness to come laterB. try to help others to be as happy as we areC. experience happiness right nowD. learn to be happy from our family members14. "Dance like no one's watching" means ______ .A. to live a life of your ownB. it's better to dance aloneC. to dance when none is presentD. dancing is a good habit15. What is the best title for the passage？______A. Happiness Is a CloudB. Happiness Is a DreamC. Happiness Is a DestinationD. Happiness Is a JourneyDo you long to have vegetables that you plant yourself on your plate every night，or to gaze out of your window at rows of colorful flowers？No matter how large or small your yard might be，you can craft（精心制作）a garden plan to fit your needs. （1）______Decide what type of garden to grow.What purpose do you want your garden to serve （2）______ Others are ornamental（装饰性的），serving to beautify your property and provide a pleasing sight to people passing by.Decide what specific plants to include in your garden.Find out what grows well in your region garden zone. （3）______ If you live in a place with mild winters and hot summers，you may have trouble growing plants that require colder conditions to grow properly.As you find out more about your opinions，make a list of the plants you want to buy and find the best time of year to plant them.Choose a spot for your garden. （4）______ The location you choose should both help the garden serve the function you want it to have and also be in a spot that is likely to allow you to grow strong，healthy plants.Make a garden design.Draw an outline of your garden or yard space.Map out the locations where you want to plant various items.（5）______ Make sure the ones that need shade will be planted in shade，and the ones that need full sun are in an area that isn't in shadows during the day.A.It takes a lot of equipment to plant a garden.B.Tailor（定做）the design to fit the needs of your plants.C.Some plants don't grow as well in certain zones.D.Read on for information on how to plan a garden.E.Here are some tips on how to make your garden more attractive.F.Take a look around your yard to assess where you want the garden to be located.G.Some gardens are functional，producing fruit and vegetables to feed your family.16. A. A B. B C. C D. D E. EF. FG. G17. A. A B. B C. C D. D E. EF. FG. G18. A. A B. B C. C D. D E. EF. FG. G19. A. A B. B C. C D. D E. EF. FG. G20. A. A B. B C. C D. D E. EF. FG. GEvery year when Thanksgiving comes around，I remember a bit of wisdom handed to me.Having some （1）______ in my life，I took them to a friend. "Why is it，" I （2）______ ，"that I can't seem to deal with these problems？" "It's（3）______ you aren't grateful enough." I was（4）______ and asked，"What are you talking about？""I'm talking"，he said，" about a（5）______ of living that you will discover someday.Be grateful to the others，and your life will grow（6）______ ."Half a century of observing life has left me （7）______ that what my friend said is true.Over and over again that I have seen the attitude of（8）______ brings about changes in people's lives.I once knew a man - William Stidger - who（9）______ from an emotional breakdown.For months he was depressed，（10）______ to work.No doctors seemed to be able to help him，but a friend（11）______ him to try what he called the therapy （疗法）of（12）______ .Many people have helped you in your life，" the friend said.Pick any one of them - I dare you - and（13）______ thank him." He recalled a（14）______ who had got him interested in poetry.He wrote a note，telling her what that（15）______ had meant to him.Soon a reply came back. "When I read your letter，" it said，my eyes were（16）______ by tears.Yours is the first letter of thanks I ever（17）______ from one of my students.I shall treasure it always."William Stidger （18）______ writing notes of appreciation to others，until he had written over 500 such letters.By then，fully （19）______ ，he was back atwork.Whenever he felt depressed，he would reread them and let the therapy of thankfulness do its work.Anyone who is grateful is focusing on what is good，and all good things come back（20）______ .21. A. difficulties B. hopes C. differences D.concerns22. A. explained B. persuaded C. reminded D.complained23. A. because B. though C. until D. why24. A. satisfied B. shocked C. interested D. alarmed25. A. rule B. grammar C. law D. method26. A. awful B. bright C. calm D. incredible27. A. obeyed B. advisedC. doubtedD. convinced（坚信的）28. A. authority B. developmentC. gratitude（感激）D. regret29. A. enjoyed B. stood C. suffered D. followed30. A. impatient B. unfriendly C. unable D. unlucky31. A. challenged B. attacked C. treasured D. respected32. A. illness B. thankfulness C. sadness D. loneliness33. A. simply B. hardly C. nearly D. especially34. A. doctor B. teacher C. miner D. nurse35. A. reaction B. attraction C. action D. operation36. A. ruined B. hurt C. damaged D. blinded37. A. achieved B. protected C. discussed D. received38. A. turned to B. gave up C. kept on D. set off39. A. injured B. wondered C. screamed D. recovered40. A. seriously B. eventually C. slightly D. slowly41. At the meeting yesterday，the firefighters were_____________for their brave deed.（ ）A. honoredB. congratulatedC. celebratedD. remembered42. The company was still in trouble and therefore they had to make a request _____________further aid.（ ）A. aboutB. atC. forD. on43. Since I am a（n）_____________customer of their shop，they always give mea good discount.（ ）A. averageB. occasionalC. regularD. ordinary44. Can you_____________my suit from the cleaner's？You know，I'm busy preparing for my test now.（ ）A. take upB. end upC. pick upD. bring up45. Some people lose heart when they_____________failures while others rise to the challenge.（ ）A. take toB. come acrossC. catch upD. adapt to46. If you know first aid methods，you can be calmer and morehelpful_____________emergency.（ ）A. in spite ofB. on account ofC. on the basis ofD. in case of47. The performer was waving his stick in the street and it_____________missed the child standing close to him.（ ）A. formallyB. narrowlyC. occasionallyD. regularly48. Lucy_____________herself to one cake for breakfast，hoping to lose weight in a short time.（ ）A. regardsB. attractsC. resistsD. limits49. —He_____________be in the classroom，I think.—No，he_____________be in the classroom.I saw him go home a minute ago.（ ）A. can；may not B. must；may not C. may；can't D. may；mustn't50. There used to be a town in the heart of America where all life seemed to live_____________its surroundings.（ ）A. for the benefit ofB. in harmony withC. in competition withD. in relation to51. He has been focusing on his application for ______ （admit）to the famous university.52. She was not going to give up her hard-won ______ （free）so easily.53. The volunteers aim to help victims of disasters regardless ______ their race or nationality.54. The theory supposes the ______ （exist）of life on other planets.55. We will do everything we can to serve you and make you feel ______ home.56. They have destroyed a lot of equipment ______ （belong）to the poor local fishermen.57. To avoid ______ （attract）unwelcome attention he kept his voice down.58. I want to know whether it is ______ （convenience）for you to join my birthday party on Saturday.59. Listening to some relaxing music，especially classical music，is ______ （benefit）for your sleeping.60. We look for applicants who are good at numbers，computer-literate，and ______ （energy）self-starters.61.A（1）______ （wrap）in silver water，the Longji Rice Terraces shine in the Spring sun.These terraces are built by the local Zhuang and Yao people，（2）______ whom Guangxi is home.There are few flat areas of land in theregion.Building terraces means that they can increase the area in which people can grow rice.Besides，the flat terraces catch the rainwater and prevent the soil from（3）______ （wash）away.These terraces also provide a perfect environment（4）______ birds and fish，some of which feed on insects that are （5）______ （harm）to the rice crops.These terraces mean a lot to the local people.BMy mother is crazy about Sichuan hotpot，which reminds her（6）______ lots of sweet memories.I like nothing（7）______ （good）than Sichuan hot pot.My father is a British.After many years of marriage to my mother，he still dare not（8）______ （try）Sichuan hot pot.Dad can cook a typical Sunday roast.The whole family are（9）______ （addict）to it.However，mum suggests that I （10）______ （not eat）too much as it may make us suffer from heat inside our bodies.CChinese Spring Festival is the first day of the Chinese lunar calendar.With the Spring Festival（11）______ （approach），people are busy purchasing goods，cleaning the houses and cooking traditional food.Some families decorate their windows（12）______ paper-cuts，putting up New Year pictures and couplets.It is an occasion（13）______ the whole family gather to enjoy quality family time.During the Spring Festival holidays，all kinds of（14）______ （celebrate）are held，including temple fairs，performances，and lantern exhibitions，（15）______ last nearly half a month.(1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)62. 为了提高学生的生活技能，你校上周开展了一次"厨艺秀"社会实践活动。
黑龙江省牡丹江市第一高级中学2020-2021学年高二10月月考英语试题
黑龙江省牡丹江市第一高级中学2020-2021学年高二10月月考英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．She pretended ________ to the manager, but actually she was thinking about something else. A．listening B．to have listened C．having listened D．to be listening 2．The summer camp group, ________ 30 students, will start for Beijing and stay there for three weeks.A．consisted in B．consisted of C．consisting of D．consisting in 3．At the request of audience, the show has been ________ for another six weeks. A．abolished B．extended C．expanded D．omitted4．I am feeling too tired to drive any more. Will you ________?A．take off B．take on C．take out D．take over 5．The living room is clean and tidy, with a dining table already ________ for a meal to be cooked.A．laid B．lain C．laying D．to lay6．He has warned you ________ the possible danger, and I think you should take his words ________ account.A．of; for B．against; into C．of; into D．against; for 7．All the candidates are excellent, but I like the last one ________ — his experience is just what we need at the moment.A．in brief B．in particular C．in practice D．in total8．As far as I know, it was the car accident due to drunk driving that led to ________. A．him to be killed B．him killingC．him having killed D．his being killed9．—You don’t know what great difficulty I had ________ to get the ticket.—Is the film really worth ________?A．managing；seeing B．managed；seeingC．managing；being seen D．managed；being seen10．They ________ the plan for a week, but no decision has ________.A．have been discussing；made B．have been discussing; been madeC．have been discussed；been made D．are discussing；been made11．________ in the 1930s, the novel gives a vivid description of the people living at the bottom of society.A．Set B．Setting C．Being set D．To set 12．Bob didn’t want to attend Mary’s birthday party, so he ________ an excuse to explain his absence.A．picked up B．set up C．made up D．put up 13．—Where is my dictionary?I remember I put it here yesterday.—You___it in the wrong place.A．must put B．should have putC．might put D．might have put14．One of the requirements for being admitted to the University is that you ________ the English test organized by it.A．will pass B．would pass C．pass D．must pass 15．More highways have been built in China, _____ it much easier for people to travel from one place to another.A．making B．made C．to make D．having made 16．Sometimes even the best writers find themselves ________ for words.A．lose B．lost C．to lose D．having lost 17．My father is considering ________ a computer, which is considered ________ a great help in our work and study.A．to buy; to be B．buying; beingC．buying; to be D．to buy; being18．—What is happening in that new area? — New houses ________ over there.A．are built B．are buildingC．have built D．are being built19．My computer needs ________ but I forgot ________ it to the repair shop .A．to repair; to take B．repairing; to takeC．to be repaired; taking D．repairing; taking20．The rain poured down for hours on ________ end, and finally came to ________ end. A．/; an B．the, an C．/; / D．an; an二、阅读选择Urban Transportation in CanadaPublic transportation & Transit passesAll cities and most major towns in Canada have a public transportation system with one or more modes of transportation (bus, subway, train, etc.). The bus is the most common form of urban transportation in Canada. To use public transportation, you must purchase a ticket or a transit pass. Transit passes allow you unlimited use of public transportation for a specific period (one month or more). They are usually cheaper than buying many tickets if you plan to use public transportation often.Transportation for people with disabilitiesPublic transportation often has features to assist people with disabilities. In many cities and towns, there are also transportation services available specifically for people with limited mobility, such as specially equipped buses. You can find out about these services in the same way you would learn more about other public transportation options.Etiquette on public transportationWhen taking public transportation such as a bus or train, it is important to understand the unspoken rules of conduct in the shared space. Here are a few things to note:◆ Be polite and respectful to others around you. For example, maintain an appropriate noise level when talking or making a phone call.◆ If you are carrying a backpack or a large shoulder bag in a crowded public transit vehicle, keep it close to you, preferably at your feet to avoid hitting people with it as you walk by.◆ Avoid pushing or touching others in order to make more room for yourself. Sometimes public transit can become very crowded, but it is important to keep calm and give others appropriate personal space.◆ Have your proof of payment accessible in case you are asked to show it.21．What is the advantages of using transit passes over buying tickets?A．Lower costs. B．Safer trips.C．Longer service hours. D．More use of transport.22．How does the transportation system help people with disabilities?A．By offering fewer transportation options.B．By running special transport services.C．By limiting their mobility on city buses.D．By providing free rides in towns and cities.23．What is considered impolite on public transportation?A．Lowering your speaking voice. B．Placing backpacks at your feet. C．Having your proof of payment at hand. D．Staying close to other passengers.A man going abroad to work leaves his young lady crying. “Don’t worry, I will write to you every day,” he said. For years he did write to her. But since he was happy with his job, he had no immediate plans of going home. One day, he received a wedding invitation. His girlfriend was scheduled to be married. To whom? To the mailman bringing regularly the letters of her boyfriend! Indeed, distance does make hearts struggle.While presents are important, love demands what is basic: presence of the beloved.Martha was busy with her job. She believed she had to work harder because she loved her father who had serious disease. She had to provide for his expensive medicine. Her brothers and sisters meanwhile stayed with their father most of the time. They bathed him, sang for him, spoon-fed him or simply kept him company.One day Martha was hurt. She overheard her father telling her mother, “All ou r children love me except Martha.” “How can this be?” Martha thought. “Am I not the one killing myself in my work to earn money to buy for his medicine? My brothers and sisters do not even provide their share in the expenses as much as I do.”One night, as Martha was as usual late in going home, she peeped for the first time in the room where her father was lying. She noticed that her father was still awake. She decided to come close at his bedside. Her father held her hands and said, “I miss you. I don’t h ave much time. Stay with me.” And she stayed with her father holding his hand the whole night.The next morning Martha said to everyone, “I have taken a leave of absence. I would like to be with my father. I will bathe him and sing for him from now on.” He r father had a beautiful smile. He knew this time Martha loved him.As children, we need the assuring presence of our loved ones. Adult people need no less. 24．Why did Martha work so hard?A．She liked to work more than looking after her father.B．It was her duty to earn money for the family.C．Her brothers and sisters had no jobs and could gain no money.D．She had to earn money to pay for her father’s medicine.25．Her father’s words “All our children love me except Martha” showed that ________. A．her father thought nothing of moneyB．her father more valued his daughter’s presenceC．her father understood his daughterD．her father was tired of his daughter26．How did Martha make her father happy at last?A．She stayed with her father and comforted him.B．She refused to gain money and gave up her job.C．She tried to earn as little money as possible.D．She would replace her brothers and sisters.27．What’s the main idea of this passage?A．Distance can strengthen love.B．Anyone should express love.C．Company is more important.D．All children must accompany their parents.At 1,345 meters above sea level, Ben Nevis is not the world’s most difficult mountain to climb. But things get considerably tricky if instead of hiking shoes you put on a pair of5-inch high heels, especially if you’re a guy. One English teenager recently proved that it was not impossible.Ben Conway, a 19-year-old art student from London, recently took up the challenge as a way to stand out in an application for a scholarship for the School of Communication Arts in Brixton. He started his unusual high-heel climb at 8 a.m., on June 27, and was joined by Callum MacKenzie Allen, a friend from his art foundation year, who videotaped the whole thing for a two-minute video that was used as his application project. The whole climb took five hours and wasn’t the smoothest experience.Halfway up Ben Nevis, one of his shoes broke, so he had to tape the shoes to his feet to make sure they stayed on. The weather didn’t make it easy for him either, as he claimed that it rained pretty much the whole time, and he had to go against 40 to 50 miles an hour winds. Due to these difficult conditions, Ben and his friend had to turn back after reaching 900 meters up the mountain.Besides providing a unique art school application project, the high-heel climb also allowed the 19-year-old to raise some money for worthy causes (事业), like Sal’s Shoes, which provides footwear for barefoot children around the world.“Raising money for charity brings happiness to people’s lives and if I can do something ridiculous and bring someone happiness, then that’s what it’s all about.” Ben said. 28．Which can replace the underlined word “tricky” in Paragraph 1?A．pleasant B．boring.C．difficult D．interesting.29．Why did Allen videotape the high-heel climb for Ben?A．To prove nothing is impossible. B．To record a special experience.C．To develop their friendship. D．To assist in Ben’s application. 30．What does Paragraph 3 focus on?A．The difficulties in the climb. B．The climbing way.C．The terrible weather. D．The unexpected things.31．Which word can best describe Ben’s story?A．Confusing. B．Inspiring.C．Exciting. D．Frightening.Is there a way to turn back the aging process in people? For centuries, people have been looking for a “fountain of youth.” The idea is that if you find a magical fountain, and drink its water, you will not age.Researchers in New York did not find an actual fountain of youth, but they may have found a way to turn back the aging process. It appears that the answer may be called the hypothalamus, which is part of your brain. It controls important body activities, including growth, the way we process food and so on. Researchers found that hypothalamus neural stem cells (干细胞) also influence how fast aging takes place.Dongsheng Cai was the leading researcher in a study on aging in mice. He and his team reported their findings. “when the hypothalamus starts aging, particularly the loss of hypothalamus stem cells, so does the body.” he said.Using this information, the researchers began trying to activate (激活) the hypothalamus in laboratory mice. The results show that the treatment slowed aging in the animals. “When we injected the hypothalamus stem cells to the middle-aged mice, the mice aged slowly and theycould also live longer.”But these results were just from studying mice in a laboratory. If the mice can live longer, does that mean people could have longer lives? The next step is to see if the anti-aging effects also work in human beings. If so, they say the findings could lead to new ways to help doctors identify and treat age-related health problems.32．Why does the author mention the “fountain of youth” in the first paragraph?A．To explain what the “fountain of youth” is.B．To introduce the hypothalamus.C．To show how to find the “fountain of youth”.D．To help people find the “fountain of youth”.33．What does the underlined word “it” in Paragraph 2 refer to?A．The brain. B．The aging process. C．Hypothalamus. D．The stem cell34．What do we know about the study done by Cai?A．They have found a way to turn back the aging process.B．The brain controls growth, reproduction and the way we process food.C．The decrease of hypothalamus stem cells can lead to aging.D．The finding has been applied to human beings.35．Which of the following can be the best title of the passage?A．The Secret of YouthB．A New Discovery about AgingC．The Ways of Slowing Down AgingD．Hypothalamus — the Fountain of Youth三、七选五Going back to school can be a stressful time for children and families. Everyone must make the transition (转变) from easy holiday life to routines, schedules and homework. 36．* Arrange school events and programs.Many schools have events and programs to he lp cut down on students’ stress. At these events, parents can meet teachers and see what their children are learning. Families can attend activities held on different sites in the school. 37．* Make connections in the classroomCommunicating with students is good advice for teachers. 38．Teachers can share details about themselves or invite children to talk about what they did over the holiday.* Don’t schedule too many activities for your children39．Instead, help them set clear goals and keep schedules organized. If someone in the family has a learning style close to that of the student, that person could help because they have something in common.* 40．Everyone needs a break from work. Family meals and outings can help everyone relax. A family game night or walk in a park together can give parents and children a chance to have fun as a family. If a student has hours of homework to complete, taking several 10-minute breaks can reduce stress.A．Take a break.B．Have fun with family.C．In this way, students can become more familiar with the environment. D．Conversations can reduce nervousness and stress among the students.E.Older students help younger ones understand the rules and culture of the school.F.Fortunately, schools, teachers, parents and children can all help to relieve the stress.G.Parents are advised not to overload their children with extra-curricular activities.四、完形填空Mrs. Hudson walked into the classroom with a girl limping (瘸着走) behind her. She introduced, “This is Margaret. She just moved here from Florida. Let’s 41 her.” The teacher guided her 42 to a front seat, then bent over and 43 something in her ear. Finishing explaining the math problems, Mrs. Hudson 44 , “Milk- break time. See you in ten minutes.”Boys 45 first. “Today, let’s meet at the far end of the sidewalk. And make sure the new girl doesn’t follow us!” I said. After a while, I came back to the 46 . I wanted to find out if Mrs. Hud son liked my book report. With her usual big smile, she began, “Jack, you are a good 47 .” Shifting my weight from one foot to the other, I was a little 48 that Mrs. Hudson liked me so much. Her 49 let me know how much she appreciated having me around. My teacher 50 in her quiet voice. “That’s 51 I am sure you will invite Margaret to play with you today.” Her 52 words sounded like frozen knivesaiming at my heart. Could she 53 suspect what we had been saying about Margaret? Could she know how 54 I was?Then I managed to 55 Margaret in our group. While many school memories have 56 over the years, the 57 Mrs. Hudson taught me has stayed with me. Mrs. Hudson gently guided me, 58 me to do the right thing. She believed in me, and 59 what she did, I rose to the level of her 60 , both for Margaret long ago and even later in my choice of career.41．A．welcome B．introduce C．invite D．follow 42．A．rapidly B．gently C．nervously D．hurriedly 43．A．spread B．shouted C．repeated D．whispered 44．A．cried B．concluded C．announced D．agreed 45．A．looked out B．rushed out C．turned up D．gave up 46．A．school B．office C．classroom D．platform 47．A．guard B．colleague C．person D．speaker 48．A．embarrassed B．satisfied C．disappointed D．worried 49．A．answers B．explanation C．remarks D．predictions 50．A．begged B．replied C．ordered D．continued 51．A．why B．how C．when D．where 52．A．doubtful B．confident C．honest D．comfortable 53．A．necessarily B．regularly C．hardly D．possibly 54．A．cruel B．smart C．awful D．outgoing 55．A．refuse B．praise C．separate D．include 56．A．faded B．existed C．remained D．refreshed 57．A．process B．principle C．secret D．lesson 58．A．forcing B．challenging C．permitting D．requesting 59．A．on account of B．regardless of C．in spite of D．ahead of 60．A．beliefs B．expectations C．success D．standard五、用单词的适当形式完成短文阅读下面材料，在空白处填入适当的内容（1个单词）或括号内单词的正确形式。
2021年高三10月阶段性检测英语试题含解析
高三英语试题本试卷分第Ⅰ卷和第Ⅱ卷两部分，共12页。
满分150分。
考试用时120分钟。
考试结束后，将本试卷和答题卡一并交回。
注意事项：1. 答题前，考生务必用0.5毫米黑色签字笔将自己的姓名、座号、准考证号、县区和科类填写在答题卡和试卷规定的位置上。
2. 第Ⅰ卷每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑；如需改动，用橡皮擦干净后，再选涂其他答案标号。
3. 第Ⅱ卷必须用0.5毫米黑色签字笔作答，答案必须写在答题卡各题目指定区域内相应的位置，不能写在试卷上；如需改动，先划掉原来的答案，然后再写上新的答案；不能使用涂改液、胶带纸、修正带。
不按以上要求作答的答案无效。
2021年高三10月阶段性检测英语试题含解析第一节单项填空（共15小题；每小题1分，满分15分）从A、B、C、D四个选项中，选出一个可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
1. As a simple and convenient way to get latest fashions online, online shopping also has major problem—you can’t see whether theyfit or not.A. the; theB.不填; theC. the; aD. 不填; 不填2.——Mr. Harry, we want to hear what you think about the reform being carried out in our school.——OK, I to that.A.am ingB. have eC. cameD. e3. is surprising to us is that Tom can speak English fluently as though he were a native speaker.A. WhatB. ThatC. WhichD. As4. ——Why do you hang that photograph above the fireplace?—— visitors of the memorial days of Long March, Sir.A.RemindingB. To remindC. RemindedD. Reminds5. All the soldiers were placed exactly the local government wanted them for the control of the eback of the flood.A. whileB. whenC. whereD. Though【答案】C【解析】试题分析：考查地点状语从句。
解析黑龙江省哈尔滨市第三中学2020┄2021学年高二下学期期中考试英语试题+Word版
英语试题本试卷分为第Ⅰ卷（选择题）和第Ⅱ卷（非选择题）两部分。
第Ⅰ卷1至9页，第Ⅱ卷9至10页。
考试结束，将本试卷和答题卡一并交回。
第Ⅰ卷听力部分第一部分听力（百强校英语解析团队专供）（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. Where are the speakers？A. At home.B. In the office.C. In the shop.2. How will the man get to the Art Museum？A. By car.B. On foot.C. By bus.3. What does the woman usually do before falling asleep？A. She goes for a walk.B. She reads books.C. She turns on the light.4. What is the woman？A. An actress.B. A director.C. A producer.5. Why is the woman going to the city？A. To make a sale.B. To attend i meeting.C. To get her car repaired. 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。
黑龙江省哈三中2020-2021学年高二上学期10月阶段性测试地理试题Word版含答案
黑龙江省哈三中2020-2021学年高二上学期10月阶段性测试地理试题Word版含答案哈三中2020—2021 学年度上学期高二学年10月阶段性测试地理试卷一、选择题（本题共30小题，每小题2分，共60分。
每小题给出的四个选项中，只有一项是符合题目要求的。
）读某大洲示意图，完成1—3题。
1.半岛②、③、④的名称依次是A.中南半岛、印度半岛、阿拉伯半岛B.印度半岛、中南半岛、阿拉伯半岛C.阿拉伯半岛、印度半岛、中南半岛D.印度半岛、阿拉伯半岛、中南半岛2.大洲分界线①处所代表的地理事物是A.乌拉尔山B.大高加索山脉C.乌拉尔河D.土耳其海峡3.图中可以推断该大洲地势特点的信息是A.河流数量B.河流流向C.岛屿数量D.大陆面积下图为四个世界著名海峡的位置示意围，据此完成4—5题。
4.上图甲、乙、丙、丁四个海峡中，代表马六甲海峡的是A.甲B.乙C.丙5.以下说法正确的是A.四个海峡均位于东半球B.图中有两个海峡可作为大洲的分界线C.乙在丁的东北方向D.图中四个海峡均可作为大洋的分界线如图为某山地的局部等高线图，比例尺为1：5 000，等高距为30米，AB为空中索道。
据此完成6—8小题。
6.乘索道下行的方向是A.东南B.西北C.正北D.正南7.若图中有一瀑布，则瀑布及选择观赏的位置应分别位于A.甲、乙B.丙、丁C.甲、丙D.乙、丁8.某旅行社计划在甲地举办攀岩比赛，需要制作陡崖剖面图海报，想宣传陡崖“险、奇”效果，绘图时应采用的做法是A.比例尺不变，适当扩大图幅B.水平比例尺不变，适当增大垂直比例尺C.比例尺不变，适当缩小图幅D.垂直比例尺不变，适当增大水平比例尺下图为“东南亚某岛屿及其附近海域的地形图”。
读图回答9—10题。
9.地形剖面示意图中M点对应左图中点A.①C.③D.④10.下列有关婆罗洲的叙述正确的是A.东南部海域大陆架宽广B.聚落多分布在沿海平原C.甲河流程约为100公里D.地势中间高、四周低，以高原平原为主11.下图地形剖面图（图b)是根据等高线地形图（图a)中的剖面线画出的。
2020-2021学年黑龙江省哈尔滨市第三中学上高二10月阶段性测试数学(文)试题(解析版)
2020-2021学年黑龙江省哈尔滨市第三中学上学期高二学年10月阶段性测试数学（文）试题一、单选题1．过直线1l ：230x y +-=与2l ：320x y -+=的交点，并与1l 垂直的直线的方程为（ ）A ．210x y --=B ．210x y -+=C ．210x y +-=D ．210x y ++=【答案】B【解析】由230320x y x y +-=⎧⎨-+=⎩， 求得交点，再根据所求直线与1l 垂直，得到斜率，写出直线方程. 【详解】由230320x y x y +-=⎧⎨-+=⎩， 解得11x y =⎧⎨=⎩， 所以交点为()1,1， 又所求直线与1l 垂直， 所以1112l k k =-=， 所以所求直线方程为：()1112y x -=-， 即210x y -+=， 故选：B 【点睛】本题主要考查直线的交点与两直线位置关系的应用，还考查了运算求解的能力，属于基础题.2．以椭圆C ：22221(0)x y a b a b+=>>的短轴的一个端点和两焦点为项点的三角形为正三角形，且椭圆C 上的点到焦点的最短距离为1，则椭圆C 的标准方程为（ ）A ．22143x y +=B ．22142x y +=C ．2214x y +=D ．22184x y +=【答案】A【解析】由题意，在正三角形中得到基本量,,a b c 间的关系，结合焦点到椭圆上的点的最短距离为a c -，故可求出,a b 的值，从而可椭圆的方程 【详解】解：因为椭圆短轴的一个端点和两焦点为项点的三角形为正三角形，所以1,22b ac a ==， 因为椭圆C 上的点到焦点的最短距离为1， 所以1a c -=，所以2,1,a c b ===所以椭圆的方程为22143x y +=，故选：A 【点睛】此题考查椭圆的标准方程的求法，考查椭圆的几何性质的应用，属于基础题3．已知实数x ，y 满足6000x y x y x -+≥⎧⎪+≥⎨⎪≤⎩，则2z x y =-+的最大值为（ ）A ．9B ．0C ．6D ．5【答案】A【解析】由约束条件作出可行域，化目标函数为直线方程的斜截式，数形结合得到最优解，联立方程组求得最优解的坐标，代入目标函数得答案． 【详解】解： 解：由约束条件6000x y x y x -+≥⎧⎪+≥⎨⎪≤⎩作出可行域如图，联立6=0=0x y x y -+⎧⎨+⎩，解得A （-3，3），化目标函数2z x y =-+，得y ＝2x ＋z ，由图可知，当直线y ＝2x ＋z 过点A （-3，3）时，直线在y 轴上的截距最大，z 有最大值为9． 故选：A ． 【点睛】本题考查简单的线性规划，考查了数形结合的解题思想方法，是基础题． 4．过点(2，-3)，斜率为12-的直线在x 轴上的截距为（ ） A ．2 B ．-2C ．4D ．-4【答案】D【解析】根据点斜式求出直线方程，令0y =即可求解. 【详解】过点(2，-3)，斜率为12-的直线方程为：()1322y x +=--，令0y =，则4x =-， 所以直线在x 轴上的截距为-4. 故选：D 【点睛】本题考查了直线的点斜式方程、直线的截距，考查了基本运算求解能力，属于基础题. 530x y m -+=与圆22220x y x +--=相切，则实数m 等于（ ） A 33 B ．3或33C ．33-3 D ．33-33【答案】C【解析】【详解】圆的方程即为（2213x y -+=） ，圆心10（，）到直线的距离等于半径33323331m m m +⇒⇒+⇒+＝＝＝ 或者33m ⇒-＝故选C ．6．已知P 为椭圆2213620x y +=上的一个点，M 、N 分别为圆()2241x y ++=和圆()2241x y -+=上的点，则PM PN +的最小值为（ ）A ．12B ．11C ．10D ．4【答案】C【解析】作出图形，可知两圆圆心恰为椭圆的两个焦点，利用圆的几何性质结合椭圆的定义可求得PM PN +的最小值. 【详解】在椭圆2213620x y +=中，6a =，25b =，4c =， 该椭圆的左焦点为()14,0F -，右焦点为()24,0F，如下图所示：由椭圆的定义可得12212PF PF a +==，由圆的几何性质可得()()121211210PM PN PF PF PF PF +≥-+-=+-=. 故选：C. 【点睛】本题考查利用椭圆的定义以及圆的几何性质求椭圆上点到两圆上的点的距离之和的最小值，考查数形结合思想的应用，考查计算能力，属于中等题.7．平面内到点(1，2)和点(4，6)距离均为2的直线有（ ） A ．1条 B ．2条 C ．3条 D ．4条【答案】D【解析】由题意可知，以点(1，2)和点(4，6)分别为圆心，2为半径作圆，两圆的公切线的条数即为所求 【详解】解：分别以点(1，2)和点(4，6)分别为圆心，2为半径作圆， 因为点(1，2)和点(4，6)522=>+， 所以两圆的位置关系是外离，所以两圆的4条公切线，即可平面内到点(1，2)和点(4，6)距离均为2的直线有4条， 故选：D 【点睛】此题考查点与直线的位置关系，考查点到直线的距离公式，考查数学转化思想，属于基础题8．已知点(3,)P a ，若圆22:4O x y +=上存在点A ，使得线段PA 的中点也在圆O 上，则a 的取值范围是（ ） A．(- B．[-C．(,)-∞-⋃+∞D．(,)-∞-⋃+∞【答案】B【解析】根据已知用相关点法，求出PA 中点M 的轨迹方程，又有M 点在圆上，可得M 点轨迹与圆有公共点，求出a 的范围.【详解】设()00,A x y ，PA 的中点(,)M x y ，由已知有2200004,3,2,2x y x x y a y ⎧⎪+=⎪+⎪=⎨⎪+⎪=⎪⎩解得223122a x y ⎛⎫⎛⎫-+- ⎪ ⎪⎝⎭⎝=⎭， 即PA 的中点的轨迹为圆223122a x y ⎛⎫⎛⎫-+- ⎪ ⎪⎝⎭⎝=⎭，又线段PA 的中点也在圆O 上，∴两圆有公共点，∴13≤≤，解得a -≤≤.故选:B. 【点睛】本题考查动点轨迹方程的求法，以及圆与圆的位置关系，属于中档题.9．椭圆C ：2214x y +=，过(0,2)A 作直线l 与椭圆C 交于M ，N 两点，O 为坐标原点，若AOM 与AON 的面积之比5：3，則直线l 的斜率为（ ） A ．1 B ．12C ．±1D ．2±【答案】C【解析】先由题意，设()11,M x y ，()22,N x y ，直线:2l y kx =+，联立直线方程，根据韦达定理，以及题中条件，得到12212216141214k x x k x x k ⎧+=-⎪⎪+⎨⎪=⎪+⎩，1253x x =，即可求出结果.【详解】由题意，设()11,M x y ，()22,N x y ，直线:2l y kx =+，由22142x y y kx ⎧+=⎪⎨⎪=+⎩消去y ，整理得()221416120k x kx +++=， 则12212216141214k x x k x x k ⎧+=-⎪⎪+⎨⎪=⎪+⎩，()2225648140k k ∆=-+>，解得234k >；根据椭圆的对称性，可知，M ，N 在y 轴的同一侧，即12,x x 同号；又AOM 与AON 的面积之比5：3，即1122152132AOM AON AO x S x S x AO x ===，则1253x x =， 代入1221614k x x k +=-+可得22816314k x k =-+，即22614k x k =-+，所以121014kx k =-+， 又1221214x x k =+，所以22261012141414k k k k k⋅=+++，解得21k =，即1k =±（满足234k >）. 故选：C. 【点睛】本题主要考查椭圆中的三角形面积比求直线斜率，熟记椭圆的简单性质即可，属于常考题型.10．已知点(,2)P t t -，t R ∈，点A 是圆22(2)(2)1x y -++=上的动点，点B 是圆22(5)(2)4x y -++=上的动点，则||||PB PA +的最小值为（ ）A ．5 BC 3D 3-【答案】D【解析】如图，先得到点P 为直线2y x =-上一点，再将||||PB PA +的最小值转化为12PC PC +的最小值，找到点1C 关于直线2y x =-的对称点为O ，利用对称性知12PC PC +的最小值为2OC ，代入坐标运算即可.【详解】解：圆22(2)(2)1x y -++=的圆心为()12,2C -，圆22(5)(2)4x y -++=的圆心为()25,2C -，因为(,2)P t t -，则点P 为直线2y x =-上一点，其与坐标轴交于点()()2,0,0,2E F -，如图，连接1122,,,AC PC BC PC ，122121|||3|PC AC PC BC PC PC PB PA -+-=+≥-+，要求||||PB PA +的最小值，即求12PC PC +的最小值，明显四边形1OFC E 为正方形，则点1C 关于直线2y x =-的对称点为()0,0O ， 连接2,OP OC则1222PC PC PO PC OC +=+≥，又2OC ==则||||PB PA +3. 故选：D.【点睛】本题考查直线上一点到直线同侧两点距离和最小的问题，可根据几何特点快速求出点关于线的对称点，考查学生的转化能力和计算能力，是一道中档题.二、填空题11．直线3510x y +-=交椭圆C ：22221(0)x ya b a b+=>>于M ，N 两点，设MN 中点为P ，直线OP 的斜率等于35，O 为坐标原点，则椭圆C 的离心率________. 【答案】45【解析】联立222235101x y x y ab +-=⎧⎪⎨+=⎪⎩，利用韦达定理求得MN 中点坐标，再根据直线OP 的斜率等于35求解. 【详解】由222235101x y x y a b +-=⎧⎪⎨+=⎪⎩，得()22222222596250b a x a x a a b +++-=， 由韦达定理得：2212122222610,259259a b x x y y b a b a+=-+=-++， 所以MN 中点为22222235,259259a b P b a b a ⎛⎫-- ⎪++⎝⎭，因为直线OP 的斜率等于35， 所以225335OPb k a ==，解得22925b a =，所以45c e a ===， 故答案为：45【点睛】本题主要考查直线与椭圆的位置关系以及离心率的求法，还考查了运算求解的能力，属于中档题.12．已知分别过点(1,0)A -和点(1,0)B 的两条直线相交于点P ，若直线PA 与PB 的斜率之积为-1，则动点P 的轨迹方程是________. 【答案】221(0)x y y +=≠【解析】设点(),P x y ，轨迹直线PA 与PB 的斜率之积为-1，即1PA PB k k ⋅=-化简求解. 【详解】 设点(),P x y ，因为直线PA 与PB 的斜率之积为-1， 所以1PA PB k k ⋅=-，即111y y x x ⋅=--+， 整理得：221(0)x y y +=≠，所以动点P 的轨迹方程是221(0)x y y +=≠， 故答案为：221(0)x y y +=≠ 【点睛】本题主要考查轨迹方程的求法，还考查了运算求解的能力，属于基础题.13．若直线l 过(0,5)A ，且被圆C ：22412240x y x y ++-+=截得的弦长为则直线l 方程为________.【答案】34200x y -+=或0x =【解析】将圆化为()()222616x y ++-=，求出圆心()2,6C -，半径4r =，讨论直线的斜率存在或不存在，分别利用圆心到直线的距离2d =，利用点到直线的距离即可求解.【详解】圆C ：22412240x y x y ++-+=，即()()22:2616C x y ++-=， 即圆心()2,6C -，半径4r =， 当直线的斜率不存在时，直线0x =， 此时弦心距2d =，弦长为=当所求直线的斜率存在时，设直线的方程为5y kx =+，即50kx y -+=， 由弦长公式可得弦心距2d ==，2=，解得34k =，故此直线方程为34200x y -+=，综上可得，满足条件的直线方程为34200x y -+=或0x =. 故答案为：34200x y -+=或0x =. 【点睛】本题考查了直线与圆的位置关系，根据弦长求直线方程，考查了分类讨论的思想，属于基础题.14．已知椭圆C ：22221(0)x y a b a b+=>>的左焦点为F ，右顶点为A ，若椭圆C 上顶点B ，且BF BA ⊥，则椭圆C 的离心率e 的值是________.【解析】先写出A ，B ，F 坐标，再结合BF BA ⊥利用向量数量积为零，得2b ac =，再化为齐次式210e e +-=解方程即可求解. 【详解】据题意得：(),0A a ，()0,B b ，(),0F c -，()(),,,BA BF c b a b =--=-∵ BFBA ⊥，∴ 0BA BF ⋅=，即()(),,0a b c b -⋅--=，∴ 2b ac =，又∵ 222c a b =-，∴ 220c a ac -+=，同除2a 得210c c a a⎛⎫+-= ⎪⎝⎭，即210e e +-=解方程得12e =(舍)或12e =.. 【点睛】本小题主要考查椭圆的几何性质，考查两个向量垂直的坐标表示，考查椭圆离心率的求法，考查了化归与转化的数学思想方法，属于基础题.通过椭圆的方程，可求得顶点、焦点的坐标，这些是椭圆的基本几何性质.两个向量垂直，可以转化为它们坐标的数量积为零.三、解答题15．已知点(3,2)A ，直线l ：210x y ++=. （1）求直线l 关于点A 对称的直线方程； （2）求直线l 与两坐标轴围成的三角形的重心坐标. 【答案】（1）2170x y +-=；（2）11,63⎛⎫-- ⎪⎝⎭. 【解析】（1）设(),P x y 为所求直线上一点，其关于点(3,2)A 对称的点为()00,P x y '在直线l 上，根据中点坐标公式，得到0064x x y y =-⎧⎨=-⎩代入直线l 的方程，即可得出结果；（2）记直线l 与x 轴交点为A ，与y 轴交点为B ，先分别求出其坐标，再得到AB 中点坐标，根据重心的性质，即可得出结果. 【详解】（1）设(),P x y 为所求直线上一点，其关于点(3,2)A 对称的点为()00,P x y '在直线l 上，则003222x x y y +⎧=⎪⎪⎨+⎪=⎪⎩，所以0064x x y y =-⎧⎨=-⎩，又00210x y ++=，所以()()26410x y -+-+=，整理得2170x y+-=，即所求直线方程为：2170x y +-=；（2）记直线l 与x 轴交点为A ，与y 轴交点为B ，由210x y ++=，令0x =得1y =-，即()0,1B -；令0y =得12x =-，即1,02A ⎛⎫- ⎪⎝⎭，又原点为()0,0O ，记AB 中点为C ，则11,42C ⎛⎫-- ⎪⎝⎭，连接OC ，则三角形的重心点G 在线段OC 上， 且满足23OG OC =，设(),G a b ，则21342132a b ⎧=⎪-⎪⎪⎨⎪=⎪-⎪⎩，所以1613a b ⎧=-⎪⎪⎨⎪=-⎪⎩，即11,63G ⎛⎫-- ⎪⎝⎭.【点睛】本题主要考查求直线关于点对称的直线方程，考查求三角形重心的坐标，属于常考题型.16．已知椭圆C ：22221(0)x y a b a b+=>>，离心率为12，两焦点分别为1F 、2F ，过左焦点1F 的直线l 交椭圆C 于M 、N 两点，2MF N 的周长为8. （1）求椭圆C 的方程； （2）若直线l 的斜率为12，求2MF N 的面积. 【答案】（1）22143x y +=；（235. 【解析】（1）利用椭圆的定义可得2a =，再由离心率可得1c =，进而可得2223b a c =-=，从而可求出椭圆的标准方程.（2）由（1）写出直线l 的方程：()112y x =+，将直线与椭圆方程联立消x ，由212122MF NSc y y =⋅⋅-，结合韦达定理即可求解. 【详解】（1）由题意可得12c e a ==，由椭圆的定义可得 2248MN NF MF a ++==，解得2a =，1c =，所以2223b a c =-=，所以椭圆C 的方程为22143x y +=.（2）若直线l 的斜率为12，则直线l 的方程为()112y x =+， 设()()1122,,,M x y N x y联立方程()22143112x y y x ⎧+=⎪⎪⎨⎪=+⎪⎩，消x ，整理可得2161290y y --=，则1234y y +=，12916y y =-， 所以2121224MF NSc y y =⋅⋅-==【点睛】本题考查了由椭圆的离心率求椭圆的标准方程、直线与椭圆的位置关系、焦点三角形的面积问题，考查了基本运算求解能力，属于中档题.17．圆C ：22(3)1x y +-=，点(,0)P t 为x 轴上一动点，过点P 引圆C 的两条切线，切点分别为M ，N . （1）若1t =，求切线方程；（2）若两条切线PM ，PN 与直线1y =分别交于A ，B 两点，求ABC 面积的最小值.【答案】（1）4340x y +-=或1x =；（2）2. 【解析】（1）设切线方程，利用圆心到切线距离等于半径求得斜率即可得解； （2）利用（1）的方法，当切线斜率都存在时，设出直线方程，利用点到直线的距离公式可得到k 的二次方程，结合根与系数关系，用含k 的式子去表示|AB |，可得最值，当切线斜率有一个不存在是，也可求出|AB |，综合可得|AB |的最小值，进而可得ABC 面积的最小值. 【详解】解：（1）当切线斜率存在时，可设切线方程为y ＝k （x -1），即kx -y -k ＝0， 则圆心C到切线的距离1d ==，解得43k =-，当切线斜率不存在时，直线1x =也符合题意 故所求切线方程为()413y x =--或1x =， 即4340x y +-=或1x =；（2）当两条切线斜率都存在，即1t ≠±时，设切线方程为(),0y k x t k =-≠，即kx -y -kt ＝0，PM ，PN 的斜率为12,k k ， 故圆心C到切线的距离1d ==，得()221680t k kt -++=，∴12122268,11t k k k k t t +=-=--， 在切线方程中令y ＝1可得1x t k=+，故12121221141AB x x t t k k t ⎛⎫⎛⎫=-=+-+===⎪ ⎪⎝⎭⎝⎭-，∴min2AB =，此时t ＝0， 当两条切线斜率有一条不存在，即1t =±时，不妨拿1t =来计算，由（1）得切线方程为即4340x y +-=或1x =，令y ＝1可得()1,1,1,14A B ⎛⎫⎪⎝⎭， 此时34AB =， 综合得min22AB =， 故ABC 的面积最小值为1222222⨯⨯=．【点睛】此题考查了圆的切线及最值问题，综合性较强，注意要对斜率的存在性进行分类讨论，有一定的难度．18．已知椭圆C 的两个焦点坐标分别是(-2，0)，(2，0)，并且经过点53,22⎛⎫- ⎪⎝⎭，A ，B 是椭圆C 上的不同两点，且以AB 为直径的圆经过原点O . （1）求椭圆C 的标准方程；（2）是否存在圆心在原点的圆恒与直线AB 相切，若存在，求出该圆的方程，若不存在，说明理由.【答案】（1）221106x y +=；（2）存在，22154x y +=. 【解析】（1）直接根据椭圆定义可得2a ，进而求得22,a b ，则椭圆方程可求； （2）假设存在这样的圆，设()()1122,,,A x y B x y ，:AB l y kx b =+，将直线和椭圆方程联立，得到韦达定理，代入12120x x y y +=，得到,k b 关系，将,k b 关系代入原点到直线:AB l y kx b =+的距离，可得距离为常数，则可得圆的半径，进而可得圆的方程. 【详解】（1）设椭圆方程为()222210x y a b a b+=>>，由椭圆定义得2a ==则210a =，2221046b a c ∴=-=-=， 所以椭圆方程为221106x y +=；（2）假设存在圆心在原点的圆恒与直线AB 相切， 设()()1122,,,A x y B x y ， 且120x x ≠，由以AB 为直径的圆经过原点O 得1OA OB k k ⋅=-，即12120x x y y +=， 设:ABl y kx b =+，与221106x y +=联立，消去y 得()22235105300k x bkx b +++-=，则212122210530,3535kb b x x x x k k-+=-=++， ()()12121212x x y y x x kx b kx b ∴+=+++()()2212121k x x kb x x b =++++()2222253010103535b kb k kb b k k -⎛⎫=++-+= ⎪++⎝⎭整理得()224151b k =+，又原点到直线:AB l y kx b =+的距离h ===,故存在圆心在原点的圆恒与直线AB 相切，且圆的方程为22154x y +=. 【点睛】本题考查直线与椭圆的位置关系，考查韦达定理的应用，考查学生计算能力与转化能力，是一道难度较大的题目.。
黑龙江省哈尔滨市第三中学2020-2021学年度上学期高二学年10月阶段性测试数学(文)试卷
黑龙江省哈尔滨市第三中学2020-2021学年度上学期高二学年10月阶段性测试数学（文）试卷一、未知(★★★) 1. 过直线：与：的交点，并与垂直的直线的方程为（）A．B．C．D．(★★★) 2. 以椭圆：的短轴的一个端点和两焦点为项点的三角形为正三角形，且椭圆上的点到焦点的最短距离为1，则椭圆的标准方程为（）A．B．C．D．(★★★) 3. 已知实数，满足，则的最大值为（）A．9B．0C．6D．5(★★★) 4. 过点(2，-3)，斜率为的直线在轴上的截距为（）A．2B．-2C．4D．-4(★★★) 5. 已知为椭圆上的一个点，，分别为圆和圆上的点，则的最小值为（）A．12B．11C．10D．4(★★★) 6. 平面内到点(1，2)和点(4，6)距离均为2的直线有（）A．1条B．2条C．3条D．4条(★★★) 7. 椭圆：，过作直线与椭圆交于，两点，为坐标原点，若与的面积之比5：3，則直线的斜率为（）A．1B．C．D．(★★★) 8. 已知点，，点是圆上的动点，点是圆上的动点，则的最小值为（）A．5B．C．D．(★★★) 9. 直线交椭圆：于，两点，设中点为，直线的斜率等于，为坐标原点，则椭圆的离心率________.(★★★) 10. 已知分别过点和点的两条直线相交于点，若直线与的斜率之积为-1，则动点的轨迹方程是________.(★★★) 11. 若直线过，且被圆：截得的弦长为，则直线方程为________.(★★★) 12. 已知椭圆：的左焦点为，右顶点为，若椭圆上顶点，且，则椭圆的离心率的值是________.(★★★) 13. 已知点，直线：.（1）求直线关于点对称的直线方程；（2）求直线与两坐标轴围成的三角形的重心坐标.(★★★) 14. 已知椭圆：，离心率为，两焦点分别为、，过左焦点的直线交椭圆于、两点，的周长为8.（1）求椭圆的方程；（2）若直线的斜率为，求的面积.(★★★) 15. 圆：，点为轴上一动点，过点引圆的两条切线，切点分别为，.（1）若，求切线方程；（2）若两条切线，与直线分别交于，两点，求面积的最小值.(★★★) 16. 已知椭圆的两个焦点坐标分别是(-2，0)，(2，0)，并且经过点，，是椭圆上的不同两点，且以为直径的圆经过原点.（1）求椭圆的标准方程；（2）是否存在圆心在原点的圆恒与直线相切，若存在，求出该圆的方程，若不存在，说明理由.二、单选题(★★★) 17. 直线与圆相切，则实数等于（）A．或B．或C．或D．或(★★★★) 18. 已知点，若圆上存在点，使得线段的中点也在圆上，则的取值范围是（）A．B．C．D．。
2021届黑龙江省哈尔滨三中高三1月线上学习阶段性考试英语试题(解析版)
哈三中2020-2021学年度高三年级线上学习阶段性考试英语试题（时间：120分钟满分：150分）第一部分：阅读理解（共两小节，满分50分）第一节（共20小题；每小题2分，满分40分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。
ATop 4 Colleges Whose Graduates Earn the Most MoneyWho says college isn’t worth it? Graduates of each of these 4 small colleges can look forward to cashing in when they hit the job market.Amherst College: Amherst, MassachusettsAverage earnings: $82,000Harvard may be the more selective and well-known university in the state, but it’s Amherst College’s graduates who are p ulling in the salary. It’s known as one of the “Little Ivies”. Despite Amherst’s tiny size (2,000 undergraduates in total), its alumni (校友) network is well-connected and involved with the student body, which helps explain why graduates get top job opportunities.Lafayette College: Easton, PennsylvaniaAverage earnings: $81,000Another Little Ivy, Lafayette College graduates about the same number of students as Amherst each year. Those graduates make nearly as much as Amherst graduates based on Zippia’s research. It’s entirely possible that Lafayette’s success in getting its graduates good jobs is that it’s one of the few liberal arts (文科) colleges of its size that also offer its students engineering degrees.Helene Fuld College of Nursing: New York, NYAverage earnings: $79,300Nurses are in very high demand, according to Indeed, and that demand is expected to remain strong. This contributes to the high pay offered to this nursing school’s graduates. So does its location in New York City, where salaries (and the cost of living) are higher.Bates College: Lewiston, MaineAverage earnings: $75,700Another small liberal arts college — and Little Ivy — Bates offers, among other things, a smallteacher-to-student rate. It is also noted that Bates has one of the most beautiful campuses around, helping draw a highly driven student body.1. What makes graduates from Amherst College get good jobs?A. School location.B. Help from schoolmates.C. Tiny size of the college.D. School recommendation.2. Why can college graduates from Helene Fuld College of Nursing get high pay?A. They have to pay high tuition fees.B. They need high living costs.C. Nurses are greatly respected.D. Nurses are in great need.3. What do Lafayette College and Bates College have in common?A. Similar earnings.B. Beautiful campuses.C. The same type of college.D. The same number of students.4. Where can you most probably find this passage in a newspaper?A. Fashion & Entertainment.B. Military & Science.C. Education & Culture.D. Food & Nutrition.【答案】1. B 2. D 3. C 4. C【解析】这是一篇应用文。