A. Take the plate away.
B. Bring some towels.
C. Turn on the light.
大庆实验中学高三寒假“战疫”线上教学英语学科综合测试（一）
听第8 段材料, 回答第11 至13 题。第一部分听力（共两节, 满分30 分）
11. Why does Jessica make the call? 第一节（共 5 小题；每小题 1.5 分，满分7.5 分）
A. To look for her passport.
B. To apply for a credit card.
C. To ask for the manager. 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
12. Where will Jessica go right after the phone call? 卷的相应位置。听完每段对话后，你都有10 秒中的时间来回答有关小题和阅读下一小题。每段对话仅
A. The bank.
B. Her home.
C. The supermarket. 读一遍。
13. How does the man sound? 1. Where does the conversation probably take place?
A. Helpful.
B. Nervous.
C. Surprised. A. At a zoo. B. In a library. C. In a drugstore.
听第9 段材料, 回答第14 至17 题。
2. What will the man do next?
3. 1
4. What is the man doing?
A. Change some money.
B. Take the food home.
C. Sit and eat his meal.
A. Placing an order.
B. Selling insurance.
C. Conducting an interview.
4. What does the woman suggest?
15. What did Leaney study for a degree?
A. Buying a computer
B. Hiring an assistant.
C. Starting a business.
A. Finance.
B. Education.
C. Public Relations.
4. What are the speakers talking about?
16. What is an advantage of a smaller business according to Leaney?
A. The weather.
B. The scenery.
C. The traffic.
A. Greater contributions to the neighborhood.
5. When did the man see the film?
B. Closer employer-employee relationship.
A. On Wednesday.
B. On Thursday.
C. On Saturday.
C. More flexibility in providing services.
第二节（共15 小题；每小题 1.5 分，满分22.5 分）
17. What is Leaney ’s plan for the next two weeks?
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
A. To visit her parents.
B. To call her relatives.
C. To finish her work.
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
听第10 段材料, 回答第18 至20 题。
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。
18. What is the purpose of the talk? 听第 6 段材料，回答第 6 至7 题。
A. To present a prize.
B. To introduce a lecturer.
C. To recommend a book. 6. Who is the newcomer?
19. Where is Russel working now?
A. David Cook.
B. Joey Sanders.
C. Liam Neeson.
A. In Oxford.
B. In Chicago.
C. In Virginia.
7. What is the newcomer ’s position in the company?
20. What does Russel think of sleep? A. He is a film director. B. He is a program manager. C. He is a department head.
A. It ’s seldom studied.
B. It ’s just a waste of time.
C. It ’s of great importance. 听第7 段材料, 回答第8 至10 题。
第二部分阅读理解（共两节，满分40 分）
8. What does the woman do?
第一节（共15 小题；每小题 2 分，满分30 分）
A. She ’s a secretary.
B. She ’s a hotel maid.
C. She ’s a salesperson.
阅读下列短文，从每题所给的四个选项(A 、B、C、D) 中，选出最佳选项。
9. What is the man going to do?
10. A
A. Change the sheets.
B. Have breakfast.
C. Meet his friends.
All for animals
11. What does the man ask the woman to do at the end of the conversation?
It ’s no secret that many animals around the world, from pets to wildlife and ocean creatures, are at risk.
第 1 页共 5 页
Fortunately, many groups are created to help animals of every size and shape. Most of these groups are looking seafood and the problem of plastic waste in the
for volunteers and supporters. oceans.
Organizations Description Date of The website 21. Which organization will you choose if you want to save animals in some shows?
founding A. PAWS B. WWF C. STC D. ACS
The Performing It provides safe places for animals used in 22. What animal does the organization founded in 1959 protect?
Animal Welfare circuses or animal shows. Their rescued A. Bears B. Whales C. Elephants D. Sea turtles Society (PA WS) animals, including elephants, tigers, and bears, In 1984 www.pawsweb. 23. What is the purpose of the text?
live in natural environments. The animals are org A. To encourage people to contribute. B. To show how to protect sea animals.
never tied or forced to behave in certain ways. C. To tell people how to adopt animals. D. To praise some animal groups ’
activities.
You can help PAWS by giving money, especially B
to their Adopt an Animal program. Ensley made me a poet.
World Wildlife It protects wild animals from extinction. It is When I was one, my parents and I moved into a tiny apartment off 20th Street. I wrote my first poem sitting
in the corner of my bedroom, surrounded by toys. I was 7 or 8 and the poem was for my best friend who had Fund (WWF) especially concerned with climate and scenery
changes and the effect on wildlife. They work at In 1961 www.worldlife. moved away. I was angry with him for being willing to leave me, and when I get angry, I get mean. I figured his
every level from people to governments. org leaving would be easier to face, if I pushed him away first. But as soon as the moving truck pulled away, I
Interested in helping out? You can adopt an realized how foolish I ’d been.
animal. So I wrote him a poem to apologize. The poem was terrible, of course, but with it, a lifelong love affair Sea Turtle It has been working to make sure that sea turtles began -- not with the boy who moved away, but with the written word. As an adult,
I ’d write
Conservancy survive in the Caribbean, Atlantic, and Pacific. conserveturtles. kickball in the parking lot of those Ensley apartment blocks, and poems about trips to see the candy lady and to the corner store. (STC) They educate people about sea turtles and their In 1959 org/get-
When people ask me where in Birmingham I grew up, I sometimes say “Everywhere ”. We mo living places. Turtles are ancient creatures and involved-sea-
can tell the health of the world ’csoastal turtle- a lot and the neighborhoods of Birmingham find their way into so much of what I write.
I had to leave Birmingham to learn how to tell true stories in prose ( 散文). After college in Alabama and ecosystems. You can see turtles up close and conservation/
graduate school in Berkeley, California, I moved to Kentucky to be a newspaper reporter. My skill at writing watch live turtles be set free.
personal essays landed me my own column( 专栏) and the chance to be included in a collection of essays
American It is recognized as the world ’fsirst whale
published by Seal Press. Cetacean protection group. They provide reliable
Then I came home. Society (ACS) scientific information and research. They also
In her book Writing Down the Bones , Natalie Goldberg writes, “It is very important to go home if you wan educate people about whales and work to protect
your work to be whole...you must claim where you come from and look deep into it. Come to honor and embrace these animals and their living places. They have In 1967 www.acsonline.
it, or at the least, accept it. ” a National Student Coalition, from which org/campaigns
Now in Birmingham, I get to share my story in local magazines and on my blog. And I build my story
students can use the information to educate
through every friendship formed in this city of steel, sweat, and sweet tea. others on topics like environment-friendly
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14. Ensley is the name of a_____________. increasing inequalities. Petts said that providing equal access to paternity leave may help to change these patterns
A. toy
B. boy
C. place
D. store and strengthen family relationships.
15. What does Para. 5 tell us about the author? 28. How was the research probably carried out?
A. She enjoys traveling very much.
B. She prefers poetry to news reports. A. By tracking families. B. By talking with mothers.
C. She gave up writing poems after college.
D. She made some achievements in writing. C. By interviewing the kids. D. By recording children ’s behavior.
16. Why does the author mention Natalie Goldberg ’s words? 29. What is found about paternity leave?
A. To prove they had similar interests. A. It makes young kids become dependent.
B. To show her love for Natalie Goldberg. B. It is determined by parental relationships.
C. To explain why she returned to Birmingham. C. It encourages men to become better fathers.
D. To introduce Natalie Goldberg ’s book to readers. D. It improves father-child relationship quality.
17. What is the text mainly about? 30. What do we know about the research?
A. Writing changes my life.
B. Home is where your story is. A. It is welcomed by young fathers. B. It is the first to study parental leave.
C. Moving around makes me a poet.
D. Childhood friendship is a source of writing. C. It is probably helpful to policymakers. D. It is more important than similar studies.
C 31. What is the problem with the present structure of paternity leave in the US?
Taking paternity leave (陪产假) shortly after the birth of a new son or daughter may be the key to A. Paid paternity leave is only two weeks long.
developing strong father-child bonds that last for years, says new research from Ball State University. B. There is no policy to encourage paternity leave.
“We find that 9-year-olds report greater satisfaction with father involvement, ”said R i C c h.a L r o d w P-i e n t c t s o,m a e B f a l m l ilies think little of paternity leave.
State sociology professor who carried out the research with Chris Knoester at the Ohio State University and Jane D. High-income fathers are too busy to take paternity leave.
Waldfogel at Columbia University. “They feel closer to their fathers and report better communication with their D
dads if their fathers take paternity leave, and especially if their fathers take two or more weeks of leave. Journalists need to be ab”le to report the facts without unfairness and use only the right ways to get these “We found evidence that part of the reason two or more weeks of paternity leave may lead to 9-year-olds facts. Unfortunately, not every journalist always does this.
Sting ( 圈套) operations to get a story are causing a lot of argument. They involve leading a well-known expressing greater satisfaction seems to be that longer periods of paternity leave-taking link to parental relationship satisfaction, ”said Petts. person into a false situation with the hope that they will do something newsworthy.
The study is the latest in a series examining the effects of parental leave in the development of children and For example, in 2010 a newspaper accused the professional snooker player John Higgins of taking money its influence on the family. It is also the first research known to assess the associations between paternity leave to throw a game. Higgins and his manager met with two men who said they would give him money if he lost and children ’s opinions of father-child relationship quality in the United States, Petts said. matches on purpose. The meeting, which took place in a hotel room, was planned and secretly filmed by the Petts said the findings of the study will help families and policymakers who aim to strengthen families and newspaper. Higgins agreed to do it but said later that he had only done so because he thought the two men were
improve higher quality father-child relationships. criminals and he had been frightened. It turned out that they were reporters from the newspaper itself.
The present structure of paternity leave in the United States provides limited opportunities for fathers to While sting operations might be legal, phone-hacking ( 电话窃听) is certainly not. In 2007, the editor of a
take leave and, in fact, often discourages fathers from taking leave, he said. leading UK newspaper and a private detective had hacked into hundreds of voicemail messages of people who “The possibility to take leave is often limited to higher-income families, ”Petts s a w i d o.r k A e d l a c f o k r o t h f e a B n a r i t i o s h n a r l o y a l family. The information they got was used in newspapers.
paid family leave policy limits access to important benefits for American families. The present structure may be Although the editor said he regretted doing this and apologized, the judge sentenced him to four months in
第 3 页共 5 页
prison. He warned other journalists not to make the same mistake. Since then though, many famous people such of age. _____40_____ For example, they like playing games, chatting or watching videos. What their cultural as Jude Law and Sienna Miller have been subjected to illegal phone-hacking by journalists. background is already doesn ’t really matter. Take a look around you--can you predict what your friends and
The paparazzi(狗仔队) are famous for following the rich and famous hoping to get a photograph to sell to family are up to this weekend just by their age? I have a feeling you can!
the papers. In the last years of her life, singer Amy Winehouse was followed by photographers everywhere she A. Activities with such strong cultural influences will be welcome.
went, and it got so bad that in 2009 she went to court and asked a judge to stop them. The judge warned the B. If you ’re in Switzerland, you might be hiking through the countryside.
journalists and ordered the photographers to stay away from her home. Many other famous persons also need C. There are different meanings for the idea of leisure in different cultures.
similar court orders to protect themselves and their families. D. Things like climate and basic systems come into play in different cultures.
18. What happened to Higgins in 2010? E. Age and social background also influence the activities people choose to do.
A. He was tricked by two journalists.
B. He was threatened by his manager. F. The generation that has grown up with the Internet likes spending free time online.
C. He lost a lot of money.
D. He met two criminals. G. Other studies show live music and dancing events are more popular in African countries.
19. How was the UK editor punished? 第三部分英语知识运用( 共两节，满分45 分)
A. He was kept separate from the famous.
B. He was asked to leave the newspaper. 第一节( 共20 小题；每小题 1.5 分，满分30 分)
阅读下面短文，从短文后各题所给的四个选项(A、B、C、D)中，选出可以填入空白处的最佳选项。 C. He was warned seriously. D. He was put into prison.
20. Who was a victim of the paparazzi? I ’ll never forget that day. It started out as just an ordinary day at work. I never ____41____that within a few
A. Amy Winehouse.
B. Sienna Miller hours I would be in great ____42____.
C. John Higgins
D. Jude Law I was 27 and had been a river guide for several years, taking people down the Zambezi River. The sun
was
21. What would be the best title for the text? setting and we were reaching the end of the ____43____one evening, when something ____44____the boat.
A. Good newspapers, heavy duties
B. Being responsible reporters Thinking it was the other ____45____, I turned around to push it away, when ____46____everything went
C. Making interesting news
D. Bad ways, bad news dark. I was stuck inside something. I managed to ____47____one hand and felt around -- my hand touched a 第二节( 共5 小题；每小题 2 分，满分10 分) hippo ’河s (马) nose. It was only then that I ____48____I was underwater, my upper body actually in the hippo
根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。选项中有两项为多余选项。mouth! I ____49____to move as much as I could, and when he opened his mouth, I managed to ____50____
It ’s the weekend, and you ’re not at work. So what are you doing? _____36_____If you awa’y.r e B u i n t s t h e e c o U n K d,s y l o a u t e r, he____51____ again, pulling me under the water. I remember looking up at the surface
might be hiding from the rain in your local shopping center. Where you live and the culture you live in affect of the water and ____52____which of us could hold his breath the longest. Suddenly the hippo released me.
what you choose to do with any leisure time you have. ____53____, a medical team was nearby and they helped me to reach a hospital. Meanwhile, the hippo had However, as well as these cultural influences on the concept of leisure, there are many aspects that affect quietly____54____.
the actual leisure activities that people take part in. _____37_____People who live in places with cold or wet I believe, ____55____, that I met him one more time. Two years later I was traveling down the Zambezi weather might be more likely to spend their free time indoors, for example. According to one study, people in again. Being ____56____obviously reminded me of what had happened. Then just as we were going past
France spend twice as much time eating and drinking, at home and in restaurants as people in Mexico. the____57____ place in the river, a huge hippo suddenly appeared. I ____58____so loudly that those with me _____38_____Many populations have limited electricity supplies in these countries, compared to North America, said they ’d never heard anything like it. He went back under the water and was never ____59____again. I where TV and the Internet are among the top leisure interests. sure I had____60____the same hippo, still just as angry.
_____39_____Visiting historic sites is popular in Europe but not, perhaps, among the young so much as 41. A. admitted B. expected C. decided D. promised
the older generations. Perhaps now more than ever, the real division in cultures from all around the world is that 42. A. anger B. sorrow C. danger D. surprise
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22. A. road B. game C. tour D. bridge cleaner, greener and brighter outlook for____70____ (they) and future generations. Everyone counts in this
23. A. knocked into B. jumped off C. took over D. passed by initiative ( 方案) and World Environment Day relies on you to make this happen!
24. A. visitor B. fisherman C guide D. boat 第四部分写作( 共两节，满分35 分)
25. A. slowly B. suddenly C. finally D. hardly 第一节短文改错( 共10 小题；每小题 1 分，满分10 分)
26. A. hold B. tie C. shake D. free
假定英语课上，老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。作文
中共有10 处错误，每句中最多有两处。错误涉及一个单词的增加、删除或修改。48. A. realized B. pretended C. imagined D. remembered
5. A. regretted B. refused C. tried D. failed
增加：在缺词处加一个漏词符号（∧），并在其下面写出该加的词。
6. A. drive B. walk C. run D. swim 删除：把多余的词用斜线( ＼) 划掉。
7. A. fell B. struck C. changed D. missed
修改：在错的词下面画一横线，并在该词下面写出修改后的词。
注意：1．每处错误及其修改均仅限一词：52. A. wondering B. asking C. suggesting D. predicting
16. A. In addition B. On purpose C. By chance D. As usual 2 ．只允许修改10 处，多者（从第11 处起）不计分。
17. A. died B. slept C. arrived D. disappeared My parents are very strict with me when I was a child. I thought they were protective as that I was an only
18. A. thus B. though C. instead D. even child. However, at that time, I felt I lacked free. I had to come straight home after school and do my homework
19. A. there B. away C. out D. around immediate. After finishing my school assignments, I was allowing to watch only one hour of television. While
20. A. same B. wrong C. strange D. quiet my friends were playing outside, I was usually helping my mother with the houseworks. That included helping
21. A. coughed B. sang C. laughed D. shouted prepare dinner, washing clothes or mopping the floor. Looked back, I am very grateful for my parents. They
22. A. tracked B. trained C. seen D. caught brought me up as independent and organized teenager.
第二节书面表达( 满分25 分) 60. A. examined B. recognized C. mentioned D. noticed
假设你是李华，你校举办了一场“用英语讲好中国故事”的主题演讲活动，请你写一则英文报道。
第二节( 共10 小题；每小题 1.5 分，满分15 分)
要点如下：
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。 1. 活动时间和地点；
5. 活动的过程；World Environment Day is ____61____ annual event that is aimed at being the biggest and most
____62____(wide) celebrated global day for positive environmental action. 3. 活动的意义。
注意: 1. 词数100 左右；World Environment Day activities take place all year round but climax on June 5 every year,
17. 可以适当增加细节，使行文连贯。____63____(attract) everyone from everywhere. ____64____(celebrate) are held in many ways in countries like
Kenya, Poland, Spain and the United States. In many countries, this annual event is used ____65____ (increase) _________________________________________________________________________________________
political attention and action towards improving the environment. _________________________________________________________________________________________ World Environment Day ____66____ (establish) by the United Nations General Assembly in 1972 to mark _________________________________________________________________________________________
the opening of the Stockholm Conference on the Human Environment. It has grown to become one of the main _________________________________________________________________________
vehicles through ____67____ the UN increases a worldwide ____68____(aware) of the environment and
encourages political attention and action.
World Environment Day is a day ____69____ people from all walks of life to come together to ensure a
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大庆实验中学2021届高三数学（文）上学期开学考试试题 一、单选题 1．已知集合{} 02A x x =≤≤，{ }1B x x =>．则( )A B =R （） A ．[0，1] B ．（1．2] C ．(],2-∞ D ．[ )0,+∞ 2．函数21 ()log f x x x =- 的零点所在区间为( ) A ．10,2?? ??? B ．1,12?? ??? C ．1,2D ．()2,3 3．设函数()f x 在1x =处存在导数为2，则0 (1)(1) lim 3x f x f x ?→+?-=?（ ）. A ． 23B ．6C ．13 D ．1 2 4．已知命题:11p x ->，命题:1ln q x ≥，则p 是q 成立的（） A ．充分不必要条件 B ．必要不充分条件 C ．充分必要条件 D ．既不充分也不必要条件 5．执行右面的程序框图，若输入的k =0，a =0，则输出的k 为（） A.2 B.3 C.4D ．5 6．在正方形内任取一点，则该点在此正方形的内切圆外的概率为 （ ） A ． 44π-B ．4 πC ．3 4π-D ．24π- 7．下列说法正确的个数 有（ ）
①用2 2 12 1 () 1() n i i i n i i y y R y y ∧ ==-=- -∑∑刻画回归效果，当2R 越大时，模型的拟合效果越差；反之，则越好； ②命题“x R ?∈，210x x +-<”的否定是“x R ?∈，210x x +-≥”； ③若回归直线的斜率估计值是2.25，样本点的中心为(4,5)，则回归直线方程是 2.254y x ∧ =-； ④综合法证明数学问题是“由因索果”，分析法证明数学问题是“执果索因”。 A ．1个B ．2个 C ．3个 D ．4个 8．已知1a b >>，01c <<，下列不等式成立的是（） A ．a b c c >B ．ac bc < C ．log log c b a c > D ．c c ba ab < 9．函数()sin ln f x x x x =-的图象大致是（） A ． B ． C ． D ． 10．已知()2 ln f x a x x =-在区间()0,1内任取两个不相等的实数p q 、，不等式 ()()1 f p f q p q ->-恒成立,则实数a 的取值范围为 （ ） A ．()3,5B ．(],3-∞C ．(]3,5D ．[ )3,+∞ 11．已知函数()f x 是定义在R 上的偶函数，当0x ≥时，()x f x e x =+，则()2a f =-， ()2log 9b f =，(5c f =的大小关系为（） A ． a b c >> B ． a c b >> C ． b a c >> D ． b c a >> 12．已知定义在R 上的函数()f x 满足()()2f x f x =+，且当11x -≤≤时，()2x f x =，函数
黑龙江省大庆实验中学2020届高三综合训练（三）数学（理） 试题 学校:___________姓名：___________班级：___________考号：___________ 一、单选题 1 ．已知集合{ |A x y ==， {}2|76<0B x x x =-+，则()R C A B ?=（ ） A ．{}|1<<3x x B ．{}|1<<6x x C ．{}|13x x ≤≤ D ．{}|16x x ≤≤ 2．i 是虚数单位，复数z = ，则（ ） A ．122 z - = B ．z = C ．32z = D ．34z = + 3．下列命题中是真命题的是（ ） ①“1x >”是“21x ”的充分不必要条件； ②命题“0x ?>，都有sin 1x ”的否定是“00x ?>，使得0sin 1x >”； ③数据128,, ,x x x 的平均数为6，则数据12825,25,,25x x x ---的平均数是6； ④当3a =-时，方程组23210 6x y a x y a -+=??-=? 有无穷多解. A ．①②④ B ．③④ C ．②③ D ．①③④ 4．二项式2 6 1()2x x - 的展开式中3x 的系数为（ ） A ．52- B ． 52 C ． 1516 D ．316 - 5 ．设不等式组00 x y x +≥???≤??表示的平面区域为Ω，若从圆C ：22 4x y +=的内部随 机选取一点P ，则P 取自Ω的概率为（ ） A ． 524 B ． 724 C ． 1124 D ． 1724 6．马拉松是一项历史悠久的长跑运动，全程约42千米.跑马拉松对运动员的身体素质和耐力是极大的考验，专业的马拉松运动员经过长期的训练，跑步时的步幅（一步的距离）一般略低于自身的身高，若某运动员跑完一次全程马拉松用了2.5小时，则他平均每分钟的步数可能为（）
2016-2017学年黑龙江省大庆实验中学高一12月月考数学 一、选择题：共12题 1．= A. B. C. D. 【答案】D 【解析】本题主要考查特殊角的三角函数值和诱导公式的应用. , 故选D. 2．函数的最小正周期是 A. B. C. D. 【答案】A 【解析】本题主要考查正切函数的周期性. 根据正切函数的周期公式可得，故选A. 3．单位圆中弧长为1的弧所对圆心角的正弧度数是 A. B.1 C. D.不能确定 【答案】B 【解析】本题主要考查弧长公式的应用. 根据弧长公式可得,故选B. 4．函数的图像的一条对称轴方程是 A. B. C. D. 【答案】A 【解析】本题主要考查三角函数的对称性. 根据题意，令,解得,
当k=0时，， 故选A. 5．函数在区间上的最小值为 A. B.0 C. D. 【答案】C 【解析】本题主要考查三角函数的最值.考查数形结合的数学思想. 根据正弦函数的图象可知，当时，y=sin x单调递增， 故,, 故最小值为1， 故选C. 6．把函数的图像向左平移个单位长度，得到的图像所表示的函数是A. B. C. D. 【答案】B 【解析】本题主要三角函数图象的变换. 根据题意，把函数的图像向左平移个单位， 可得, 故选B. 7．下列关系中正确的是 A. B. C. D. 【答案】B 【解析】本题主要考查利用三角函数的诱导公式和单调性比较大小. ,y=sin x在上单调递增， .
即， 故选B. 8．若函数是奇函数，则的值可能是 A. B. C. D. 【答案】D 【解析】本题主要考查三角函数的奇偶性和三角函数的图象. 由于函数是奇函数，故, 当k=1时，, 故选D. 9．已知函数为定义在上的奇函数，且在上单调递增，若，则的取值范围是 A. B. C. D. 【答案】D 【解析】本题主要考查函数的奇偶性和单调性的应用. 为定义在上的奇函数，在上单调递增， 故在R上为增函数， , 解得, 故选D. 10．使在区间至少出现2次最大值，则的最小值为 A. B. C. D. 【答案】A 【解析】本题主要考查正弦函数的图象．属基础题． 要使在区间至少出现2次最大值， 只需要满足， ， ，
大庆实验中学2020-2021上学期高三期末考试数学（理）试题答案 一．选择题 ACDBB DABBA AB 二．填空题 13.3log 2±；14.1215；15.2；16.8 三．解答题 17.【解析】（1）当n ＝1时，12a =，当2n ≥时a 1＋a 2＋a 3＋…＋1n a -＝12n -② ①-②得1 2n n a -=经检验1a 不符合上式 ∴12,1 2,2n n n a n =-=??≥?.（6分） （2）由（1）得当n ＝1时12b = 当2n ≥时()()n 2n b n 1log a 11n n =+=+-（）, ∴( )()()n 1111 12b 11211n n n n n ?? ==-≥ ?-+-+??. ()n 12n 1 11521 ...b b b 421 n S n n +∴=+++=-+.（12分） 18.【解析】（1）4656 56666676 0.010100.020100.04510222x +++=??+??+?? 7686 8696 0.020100.0051022+++??+?? 70=.（3分） （2）由题意样本方差2100s = ，故10σ≈=. 所以2(70,10)X N ， 由题意，该厂生产的产品为正品的概率(6090)(6070)(7090)P P X P X P X =<<=<<+<< 1 (0.68270.9545)0.81862=+=.（6分） （3）X 所有可能为0,1,2,3. ()0335385028C C P X C === ()12 353815 128 C C P X C ===
()21353815256C C P X C === ()3035381356 C C P X C ===.（10分） X 的分布列为 X 0 1 2 3 P 528 1528 1556 156 ()9 8E X =.（12分） 19.【解析】（1）取BC 的中点F ，连接EF ，HF . ∵H ，F 分别为AC ，BC 的中点， ∴HF ∥AB ，且AB ＝2HF . 又DE ∥AB ，AB ＝2DE ，∴HF ∥DE 且HF ＝DE ， ∴四边形DEFH 为平行四边形．∴EF ∥DH ， 又D 点在平面ABC 内的正投影为AC 的中点H ， ∴DH ⊥平面ABC ，∴EF ⊥平面ABC ，∵EF BCE ?面∴ECB ABC ⊥面面.（5分） （2）∵DH ⊥平面ABC ，AC ⊥BC ， ∴以C 为原点，建立空间直角坐标系,则B (0,2,0)，D ????1 2，0，1，()0,1,1E 设平面CDE 的法向量n ＝(x ，y ，z )，CD ＝????12，0，1，CE ＝()0,1,1， 则1 020 x z y z ? +=???+=?取y ＝1，则x ＝2，z ＝-1.∴n ＝(2,1,1)， ∵1 ,2,12BD ??=- ???∴214 sin cos ,21BD n BD n BD n α=== ∴BD 与面CDE 夹角的余弦值为385 .（12分） 20.解析：【解析】（1）由题意
【最新】黑龙江大庆实验中学高一上期末数学试卷 学校:___________姓名：___________班级：___________考号：___________ 一、单选题 1．已知集合，则集合 （ ） A ． B ． C ． D ． 2．根据表格内的数据，可以断定方程的一个根所在区间是（ ） A ． B ． C ． D ． 3．若，则的大小关系是（ ） A 、 B 、 C 、 D 、 4．某工厂生产某种产品的月产量y 和月份x 满足关系0.5x y a b =+.现已知该厂1月份、 2月份生产该产品分别为1万件、1.5万件.则此厂3月份该产品的产量为（ ） x x c b x a x ln ln 2,) 2 1(,ln ),1,0(===∈c b a ,,a b c >>b a c >>b c a >>c b a >>
A ．1.75万件 B ．1.7万件 C ．2万件 D ．1.8万件 5．已知，且，则下列各式中正确的是（ ） A 、 B 、 C 、 D 、 6．已知为锐角，，则的值是（ ） A 、 B 、 C 、 D 、 7．已知非零向量 ，且，则 与的夹角是（ ） A 、 B 、 C 、 D 、8．已知函数给出函数的下列五个结论： （1）最小值为； （2）一个单调递增区间是； （3）其图像关于直线对称； （4）最小正周期为； （5）将其图像向左平移 后所得的函数是偶函数. 其中正确结论的个数是（ ） A 、 4 B 、3 C 、2 D 、1 9．将函数的图象向右平移个单位后得到函数的图象， 若对满足的，有 ，则 =（ ） A ． B ． C ． D ． 10．若，则 （ ） A 、1 B 、 C 、 D 、 R y x ∈,2323x y y x --+>+0x y ->0x y +<0x y -<0x y +>A n A m A =-=+)cos 1lg(,)cos 11 lg(A sin lg b ,a =)2(b a a +⊥3π2 π 23π56π? ??<≥=x x x x x x x f cos sin ,cos cos sin ,sin )()(x f 2 2- )2 ,43(ππ- )(4 Z k k x ∈+=π ππ24 π 7 tan 3tan πα=sin()75cos() 14 π απα-=-21314 1
二、选择题：本题共8小题，每小题6分。在每小题给出的四个选项中，第14～18题只有一项符合题目要求，第19～21题有多项符合题目要求。全部选对得6分，选对但选不全得3分，有选错的得0分。 14．下列说法正确的是（ ） A ．只要照射到金属表面上的光足够强，金属就一定会发出光电子 B ．4141612781He N O H +→+是卢瑟福发现质子的核反应方程 C ．放射性物质的半衰期不会随温度的升高而变短 D ．一个处于量子数n=4能级的氢原子，最多可辐射出6种不同频率的光子 15．两物体分别在某行星表面和地球表面上由静止开始自由下落相同的高度，它们下落的时间之比为2:3．已知该行星半径约为地球的2倍，则该行星质量与地球质量之比约为（ ） A ．9:1 B ．2:9 C ．3:8 D ．16:9 16．如图，在倾角为α的固定光滑斜面上，有一用绳子栓着的长木板，木板上站着一只猫.已知木板的质量是猫的质量的2倍。当绳子突然断开时，猫立即沿着板向上跑，以保持其相对斜面的位置不变.则此时木板沿斜面下滑的加速度为（ ） A ．sin 2g α B ．sin g α C ．32sin g α D ．2sin g α 17．如图所示，A 、B 为竖直放置的平行板电容器的两个极板，G 为静电计，E 为恒压电源. 则下列说法正确的是（ ） A ．保持开关S 闭合，仅将A 板缓慢竖直上移一小段距离，则静电计指针张开的度将大 B ．保持开关S 闭合，仅将A 板缓慢向B 板靠近，则静电计指针张开的角度将变大 C ．开关S 闭合后断开，仅将A 板缓慢远离B 板，则静电计指针张开的角度将不变 D ．开关S 闭合后断开，仅将A 板缓慢竖直上移一小段距离，则静电计指针张开的角度将变大 18．水平地面上两个质点甲和乙，同时由同一地点沿同一方向作直线运动，它们的v -t 图线如图所示。下列判断正确的是（ ） A ．甲做匀速运动，乙做匀加速运动 B ．2s 前甲比乙速度大，2s 后乙比甲速度大
大庆实验中学2015—2016高三上半学年数学（理） 期末考试 第Ⅰ卷(选择题 共60分） 一、选择题（本大题共12小题，每小题5分，共60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. 设集合{}22,A x x x R =-≤∈，{ } 2 ,12B y y x x ==--≤≤，则A B 等于（ ） A ．R B ．{}0 C ．{} ,0x x R x ∈≠ D ．? 2. 化简 2 24(1)i i ++的结果是（ ） A.2i + B.2i -+ C.2i - D.2i -- 3. 某四棱锥的三视图如图所示，该四棱锥的体积是（ ） A ．32 B.323 C.48 D. 163 4. 在ABC △中，AB c = ，AC b = ．若点D 满足2BD DC = ，则AD = （ ） A. 2133b c - B.5233c b - C. 2133b c + D.1233b c + 5. 若点(2,0)P 到双曲线22 221x y a b -= 则双曲线的离心率（ ） C. D. 6.函数f (x )＝sin()x ω(ω>0)在区间[0, ]4π 上单调递增，在区间[,]43 ππ 上单调递减，则ω为( ) A.1 B.2 C ． 3 2 D ． 23 7.已知f (x )＝ax 2＋bx ＋1是定义在2 [2,3]a a --上的偶函数，那么a ＋b 的值是 ( ) A ．3 B. －1 C. －1或3 D ． 1
8. 已知不等式ax 2－bx －1＞0的解集是1123x x ?? - <<-???? ，则不等式x 2－bx －a ≥0的解集是( ) A. {} 23x x << B. {} 23x x x ≤≥或 C. 1132x x ??<??? ?或 9. 已知变量x ，y 满足条件???? ? x ＋2y －3≤0，x ＋3y －3≥0， y －1≤0，若目标函数z ＝ax ＋y (其中a >0)仅在点(3,0)处取 得最大值，则a 的取值范围是（ ） A.1 [,)2+∞ B. 1[,)3+∞ C.1(,)3+∞ D. 1(,)2 +∞ 10. 将边长为2的正方形ABCD 沿对角线BD 折起，则三棱锥C ABD -的外接球表面积为（ ） A. 16π B. 12π C. 8π D. 4π 11. 已知数列{}n c 的前n 项和为n T ，若数列{}n c 满足各项均为正项，并且以(,)n n c T (n ∈N * ) 为坐标的点都在曲线2,022 a a ay x x b a = ++（为非常数）上运动，则称数列{}n c 为“抛物数列”.已知数列{}n b 为“抛物数列”，则（ ） A. {}n b 一定为等比数列 B. {}n b 一定为等差数列 C.{}n b 只从第二项起为等比数列 D. {}n b 只从第二项起为等差数列 12. 已知函数()f x 在0,2π?? ??? 上处处可导，若[()()]tan ()0f x f x x f x '--<，则（ ）． A.3 3(ln )sin(ln )22f 一定小于550.6(ln )sin(ln )22 f B. 33(ln )sin(ln )22f 一定大于550.6(ln )sin(ln )22 f C. 33(ln )sin(ln )22f 可能大于550.6(ln )sin(ln )22 f
2020届黑龙江省大庆实验中学高三下学期复习考试 数学（文）试题 一、单选题 1．若复数z 满足22iz i =-（i 为虚数单位)，则z 的共轭复数z 在复平面内对应的点所在的象限是（ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限 【答案】B 【解析】分析：直接利用复数代数形式的乘除运算化简复数，然后求z 的共轭复数，即可得到z 在复平面内对应的点所在的象限． 详解：由题意，()()()222222,i i i z i i i i -?--===--?-Q 22,z i ∴=-+ 则z 的共轭复数z 对应的点在第二象限. 故选B. 点睛：本题考查了复数代数形式的乘除运算，考查了复数的基本概念，是基础题． 2．设全集U =R ，(2){|ln(2)},{|21}x x A x N y x B x -=∈=-=≤，A B =I （ ） A ．{|1}x x ≥ B ．{|12}x x ≤< C ．{}1 D ．{}0,1 【答案】D 【解析】由题分别算出集合,A B 包含的范围,再取交集即可. 【详解】 由{|ln(2)}A x N y x =∈=-得20,2x x -><,又x ∈N 所以0,1x =. 又(2) {|2 1}x x B x -=≤,其中(2)0212(2)0x x x x -≤=?-≤ 所以02x ≤≤,故{}{0,1 },|02A B x x ==≤≤ , 所以{}0,1A B =I . 故选D. 【点睛】 本题主要考查集合的基本运算,注意看清集合是自变量还是因变量的范围.
3．已知焦点在x 轴上的椭圆的长轴长是8，离心率是 3 4 ，则此椭圆的标准方程是（ ） A ．22 1167 x y += B ．22 1716x y += C ．22 16428 x y += D ．22 12864 x y += 【答案】A 【解析】由椭圆的长轴长及离心率的值，可求出,,a b c ，进而结合椭圆的焦点在x 轴上，可得出椭圆的标准方程. 【详解】 由题意知，28a =，∴4a =，又3 4 e = ，∴3c =，则2227b a c =-=. 因为椭圆的焦点在x 轴上时，所以椭圆方程为221167 x y +=. 故选：A . 【点睛】 本题考查椭圆标准方程的求法，考查学生的计算求解能力，属于基础题. 4．如图所示的2个质地均匀的游戏盘中(图①是半径为2和4的两个同心圆组成的圆盘， O 为圆心，阴影部分所对的圆心角为90?；图②是正六边形，点Р为其中心)各有一个 玻璃小球，依次摇动2个游戏盘后（小球滚到各自盘中任意位置都是等可能的）待小球静止，就完成了一局游戏，则一局游戏后，这2个盘中的小球至少有一个停在阴影部分的概率是（ ） A ． 1 16 B ． 1124 C ． 1324 D ． 516 【答案】B 【解析】根据几何概型面积型可分别计算出两个图中小球落在阴影部分的概率，由独立事件概率乘法公式和对立事件概率公式可求得结果. 【详解】 图①小球落在阴影部分的概率为：2122 13 21446 4P πππ-??=?=?
【最新】黑龙江省大庆实验中学高一上学期期末考试语文试 卷 学校:___________姓名：___________班级：___________考号：___________ 一、现代文阅读 阅读下面的文字，完成下面小题。 抗生素滥用与DNA污染 青霉素问世后，抗生素成了人类战胜病菌的神奇武器。然而，人们很快发现，虽然新的抗生素层出不穷，但是，抗生素奈何不了的耐药菌也越来越多，耐药菌的传播令人担忧。2003年的一项关于幼儿园儿童口腔卫生情况的研究发现，儿童口腔细菌约有15%是耐药菌，97%的儿童口腔中藏有耐4～6种抗生素的细菌，虽然这些儿童在此前3个月中都没有使用过抗生素。从某种意思上说，现代医学正在为它的成功付出代价。抗生素的普遍使用有利地抑制了普通细菌，客观上减少了微生物世界的竞争者，因而促进了耐药性细菌的增长。 细菌耐药基因的种类和数量增长速度之快，是无法用生物的随机突变来解释的。细菌不仅在同种内，而且在不同的物种之间交换基因，甚至能够从已经死亡的同类散落的DNA中获得基因。事实上，这些年来，每一种已知的致病菌都已或多或少获得了耐药基因。研究人员对一株耐万古霉素肠球菌的分析表明，它的基因组中，超过四分之一的基因，包括所有耐抗生素基因，都是外来的。耐多种抗生素的鲍氏不动杆菌也是在与其他菌种交换基因中获得了大部分耐药基因。 研究人员正在梳理链霉菌之类土壤微生物的DNA，他们对近500个链霉菌品系的每一个菌种都检测了对多种抗生素的耐药性。结果，平均每种链霉菌能够耐受七八种抗生素，有许多能够耐受十四五种。对于实验中用到的21种抗生素，包括泰利霉素和利奈唑胺这两种全新的合成抗生素，研究人员在链霉菌中都发现了耐药基因。研究发现，这些耐药基因与致病菌中耐药基因有着细微的差异。有证据表明，耐药基因在从土壤到重危病人的旅途中，经过了许多次转移。 人类已经认识到滥用抗生素对自身健康的严重威胁，并且也认识到在牲畜饲养中大量使用抗生素的严重危害。在饲料中添加抗生素，可以促进牲畜的生长，但同时也会使牲畜体内的病菌产生耐药性。世界卫生组织呼吁，为防止滥用抗生素而导致细菌产生耐药性，抑制耐药菌的传播，世界各国应限制对牲畜使用抗生素。欧盟决定从2006年1月起，全面禁止将抗生素作为牲畜生长促进剂。 人畜粪便如果流入河道，或是作为肥料的一部分被撒入农田，其中的细菌就更加容
2020届黑龙江省大庆实验中学高三下学期开学考试 数学（理）试题 一、选择题：本大题共12小题，每小题5分，满分60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{} { } 2 3log ,1,230A y y x x B x x x ==>=--<，则A B ?=( ) A ．{} 03y y << B ．{} 01y y << C ．{} 1y y > D ．{} 3y y > 2．已知复数z 满足()14i z i +=（i 为虚数单位），则z 的共轭复数z =（ ） A ．22i + B ．22i - C ．12i + D ．12i - 3．下列说法中正确的是（ ） A ．“a b >”是“22a b >”成立的充分不必要条件 B ．命题:,20x p x R ?∈>，则0 0:,2 0x p x R ??∈< C ．为了了解800名学生对学校某项教改试验的意见，用系统抽样的方法从中抽取一个容量为40的样本，则分组的组距为40 D ．已知回归直线的斜率为1.23，样本点的中心为(4,5)，则回归直线方程为^ 1.230.08y x =+. 4．函数()()ln sin ,0f x x x x x ππ=+-≤≤≠且的大致图像是（ ） A ． B ． C ． D ． 5．已知甲、乙、丙三人中，一位是河南人，一位是湖南人，一位是海南人，丙比海南人年龄大，甲和湖南人不同岁，湖南人比乙年龄小．由此可以推知：甲、乙、丙三人中（ ） A ．甲不是海南人 B ．湖南人比甲年龄小 C ．湖南人比河南人年龄大 D ．海南人年龄最小
6.已知实数y x ,满足?? ? ??≥+-≤--≥-+042033022y x y x y x ，则y x z 3-=的最小值为（ ） A ．7- B ．6- C ．1 D ．6 7．若把单词“anyway ”的字母顺序写错了，则可能出现的错误写法的种数为（ ） A ．179 B ．181 C ．193 D ．205 8．已知向量( ) 2 sin ,cos m x x =- ，(cos n x =-，设函数()3 2 f x m n =+，则下列关于函数()f x 的性质描述错误的是（ ） A ．函数()f x 在区间[ ,]122 ππ 上单调递增 B ．函数()f x 图象关于直线712 x π = 对称 C ．函数()f x 在区间[,]63 ππ - 上单调递减 D ．函数()f x 图象关于点(,0)3π 对称 9．1772年德国的天文学家J.E.波得发现了求太阳和 行星距离的法则。记地球距离太阳的平均距离为10，可以算得当时已知的六大行星距离太阳的平均距离如下表： 除水星外，其余各星与太阳的距离都满足波得定则（某一数列规律），当时 德国数学家高斯根据此定则推算，火星和木星之间距离太阳 的 平 均 距 离 为 28 处 还有一颗大行星，1801年，意大利天文学家皮亚齐通过观测，果然找到了火星和木星之间距离太阳平均距离为 28的谷神星。请你根据这个定则，估算从水星开始由近到远算，第10个行星与太阳的平均距离大约是 A ．388 B ．772 C ．1540 D ．3076 10.阿波罗尼斯是古希腊数学家，他与阿基米德，欧几里得被称为亚历山大时期的“数学三巨匠”，以他名字命名的阿波罗尼斯圆是指平面内到两定点距离比值为定值()1,0≠>λλλ的动点的轨迹。已知在ABC ?中，角C B A ,,所对的边分别为c b a ,,，且,sin 2sin B A =,2cos cos =+A b B a 则ABC ?面积的最大值为 A.2 B.3 C. 34 D.3 5
物理答案 22.答案：(1)1.50(1分) (2)0.50(2分)(3)正比(正比例)(1分)(4)弹性势能与弹簧压缩量(x)的平方成正比(2分) 23.答案：(1)满刻线(1分) 位置不变(1分)(2)R 1(2分)(3) 19900.22+t (2分) 5(1分) (4)右(1分) 不均匀(1分) 24.解析：（1）钢筋坠下垂直落地时的影像长度包括钢筋长度和钢筋坠地前在曝光时间t 内下落的距离，因此在时间t 内的平均速度为v ＝ T X X 12-＝31015.053.0-?-m/s ＝30m/s----3分，可认为此速度就等于钢筋坠地时的速度v . 由v 2＝2gH 得:H ＝45m--------2分， n ＝h H ＋1＝16，即n ＝16层-----1分 （2）对钢筋受力分析，取向上为正方向，设钢筋受到地面的作用力为F 1由动量定理得 ( F 1－mg)△t ＝0－（－mv ）-----3分 解得F 1=610N----1分（用牛顿运动定律做也参考此式给分） 又根据牛顿第三定律得F 大小为610N ，方向竖直向下--------2分 25.解析：(1)由牛顿第二定律得Bev 0＝m v 2 0r (2分) 电子的比荷r ＝eB mv 0(1分) (2)若电子能进入电场中，且离O 点右侧最远，则电子在磁场中运动圆轨迹应恰好与边AD 相切，即粒子从F 点离开磁场进入电场时，离O 点最远．(1分) 设电子运动轨迹的圆心为O ′点．则OF ＝x m ＝ 32d (2分) 从F 点射出的电子，做类平抛运动，有 X=32d ＝Ee 2m t 2(2分) y ＝v 0t(1分) 代入得y ＝ 32d (1分) 设电子最终打在光屏的最远点距Q 点为H ，电子射出电场时与水平方向的夹角为θ有tan θ＝y 2x ＝12 (2分) 所以，从x 轴最右端射入电场中的电子打到荧光屏上的点为G ，则它与P 点的距离GP ＝ 32tan d y d =-θ(2分) (3)设打到屏上离P 点最远的电子是从(x,0)点射入电场，则射出电场时 y ＝v 03 22xd eE xm ==(2分) 设该电子打到荧光屏上的点与P 点的距离为L ，由平抛运动特点得y y d x L )(2-=(2分)
大庆实验中学2020-2021学年度上学期期中考试高三理科数学答案 1．C 2．C 3.D 4.A 5.C 6.B 7.A 8.B 9. A 10.D 11. B 12.A 13. ) 3,1(- 14.3 15.52π 16． 23 17.（Ⅰ）3 A π =（Ⅱ）33 解：（Ⅰ）由 2tan tan tan B b A B c =+及正弦定理可知， sin 2 sin cos sin sin sin cos cos B B B A B C A B ∴=+ ()2sin cos cos sin cos sin sin B A B B B A B C ?∴?=+， 所以2cos 1A =，又()0,A π∈，所以3 A π = （Ⅱ）由余弦定理2222cos a b c bc A =+-， 得2 1393c c =+-， 所以2 340c c --=，即()()410c c -+=， 所以4c =，从而113sin 343322ABC S bc A ==???= 18.(1)证明见解析；(2)60°. 解析:（1）连结PD （P A=PB （PD AB （//DE BC （BC AB （DE AB （ 又PD DE D ?=（AB 平面PDE （PE ?平面PDE （∴AB PE （ （2）法一（ 平面P AB 平面ABC，平面P AB 平面ABC=AB，PD AB，PD 平面ABC （ 则DE PD,又ED AB，PD 平面AB=D （DE 平面P AB, 过D 做DF 垂直PB 与F ，连接EF ，则EF PB （∠DFE 为所求二面 角的平面角（DE=32（DF =3 2，则3DE tan DFE DF ∠= =，故二面角的A PB E --大小为60? 法二： 平面P AB 平面ABC，平面P AB 平面ABC=AB，PD AB，PD 平面ABC （ 如图，以D 为原点建立空间直角坐标系（ B (1（0（0)（P (0（0（ )（E (0（ 3 2 （0)（ PB =(1（0（3-)（PE =(0（ 3 2 （3-（（ 设平面PBE 的法向量()1,,n x y z =（ 30,3 30,2 x z y z ?-=? ?-=??令3z =，得() 13,2,3n =（ DE ⊥平面P AB （∴平面P AB 的法向量为()20,1,0n =（ 设二面角的A PB E --大小为，由图知，121212 1,2 n n cos cos n n n n θ?=== ?（ 所以60,θ=?即二面角的A PB E --大小为60?. 19.（1）70.5分；（2）634人；（3）0.499 中间值 45 55 65 75 85 95 概率 0.1 0.15 0.2 0.3 0.15 0.1 ∴450.1550.15650.2750.3x =?+?+?+? 850.15950.170.5+?+?=， ∴4000名考生的竞赛平均成绩x 为70.5分. （2）依题意z 服从正态分布( )2 ,N μσ，其中70.5x μ==，2 204.75D σ ξ==，14.31σ=，∴z 服 从正态分布( )()2 2 ,70.5,14.31N N μσ =，而 ()(56.1984.81)0.6826P z P z μσμσ-<<+=<<=，∴()10.6826 84.810.15872 P z -≥= =.∴竞赛成绩超过84.81分的人数估计为0.158********.8?=人634≈人. （3）全市竞赛考生成绩不超过84.81分的概率10.15870.8413-=.而()4,0.8413B ξ~，∴ ()()4 4431410.8413P P C ξξ≤=-==-? 10.5010.499=-=. 20.（1）证明见解析，21n n a =-；（2）11202. （1）证明：因为n ，n a ，n S 成等差数列，所以2n n S n a +=，① 所以()1112n n S n a --+-=()2n ≥.②
大庆实验中学高三二模数学试题（理科） 本试卷分第I 卷（选择题）和第II 卷（非选择题）两部分。第I 卷1至2页，第II 卷3至4页，答题纸5至7页，共150分。测试时间120分钟。 第I 卷（共60分） 一、选择题：（本大题共12小题。每小题5分。共60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．设集合}2,1{=A ，则满足}3,2,1{=B A 的集合B 的个数为（ ） A ．1 B ．3 C ．4 D ．8 2．已知 ni i m -=+11，其中n m ,是实数，i 是虚数单位，则=+ni m （ ） A ．i 21+ B ．i 21- C ．i +2 D ．i -2 3．已知23)2 cos(= -?π ，且2||π ?<，则=?tan （ ） A ．3 3- B ． 3 3 C ．3- D ．3 4．设函数)0(ln 3 1 )(>-= x x x x f ，则)(x f y =（ ） A ．在区间),1(),1,1(e e 内均有零点 B ．在区间),1(),1,1 (e e 内均无零点 C ．在区间)1,1 (e 内有零点，在区间),1(e 内无零点 D ．在区间)1,1 (e 内无零点，在区间),1(e 内有零点 5．实数x 满足θsin 1log 3+=x ，则|9||1|-+-x x 的值为（ ） A ．8 B ．8- C ．0 D ．10 6．设函数)(x f 为定义在R 上的奇函数，当0≤x 时，b x x f x -+-=22 1 )(（b 为常数），则=)1(f （ ） A ．3 B ．1 C ．3- D ．1- 7．如果若干个函数的图象经过平移后能够重合，则称这些函数为“互为生成函数”。给出下 列函数①x x f cos sin )(-=；②)c o s (s i n 2)(x x x f +=；③2s i n 2)(+=x x f ；④.s i n )(x x f = 其中“互为生成函数”的是（ ） A ．①② B ．①③ C ．③④ D ．②④ 8．在ABC ?内，内角C B A ,,的对边分别是c b a ,,，若bc b a 32 2 =-，B C sin 32sin =，
2020年黑龙江省大庆实验中学高考数学一模试卷1 一、选择题（本大题共12小题，共60.0分） 1.已知集合A={x|x2?4x+3≥0}，B={x∈N|?1≤x≤5}，则A∩B=() A. {1,3，4，5} B. {0,1，4，5} C. {0,3，1，4，5} D. {3,4，5} 2.若(1+i)z=2，则|z|是() A. 2 B. √3 C. √2 D. 1 3.已知等差数列{a n}中，前n项和为S n，若a1=2，a8+a10=28，则S9=() A. 36 B. 72 C. 144 D. 288 4.已知向量a?=(?1,1)，b? =(3,m)，a?//(a?+b? )，则m=() A. ?2 B. 2 C. ?3 D. 3 5.在古代，直角三角形中较短的直角边称为“勾”，较长的直角边称为 “股”，斜边称为“弦”。三国时期吴国数学家赵爽用“弦图”(如图 )证明了勾股定理，证明方法叙述为：“按弦图，又可以勾股相乘为朱 实二，倍之为朱实四，以勾股之差自相乘为中黄实，加差实，亦成弦 实。”这里的“实”可以理解为面积。这个证明过程体现的是这样一 个等量关系：“两条直角边的乘积是两个全等直角三角形的面积的和(朱实二)，4个全等的直角三角形的面积的和(朱实四)加上中间小正方形的面积(黄实)等于大正方形的面积(弦实)”。若弦图中“弦实”为16，“朱实一”为2√3，若随机向弦图内投入一粒黄豆(大小忽略不计)，则其落入小正方形内的概率为 A. 1?√3 8B. 1?√3 2 C. √3 2 D. 1?√3 2 6.已知函数f(x)=msinx+ncosx，且f(π 6 )是它的最大值，(其中m、n为常数且mn≠0)给出下列 命题：①f(x+π 3)是偶函数；②函数f(x)的图象关于点(8π 3 ,0)对称；③f(?3π 2 )是函数f(x)的最 小值；④m n =√3 3 ． 其中真命题有() A. ①②③④ B. ②③ C. ①②④ D. ②④ 7.若命题：“?x0∈R,ax2?ax?2>0”为假命题，则a的取值范围是()
大庆实验中学2020—2021学年度上学期第一次月考 高三英语试题 第二部分阅读理解（共两节，满分40 分） 第一节（共15 小题; 每小题2 分，满分30 分） 阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。 A Below you will find a profile of each gap year program. If there is a specific program you are interested in or a question you have regarding these programs, please feel free to contact them directly. Youth International Since 1997, Youth International has been providing many people with the most exciting and educational experience of their life. It is a learning program that combines international travel, inter-cultural exchange, home stays, volunteer community service work and outdoor adventures. Phone: 720-270-3323 Carpe Diem Education Through volunteer service, travel and cultural exchange, students of Carpe Diem Education receive a personal insight into themselves and their cultures. We specialize in guiding summer and semester programs for high school students. Each course is carefully crafted to develop leadership and self-awareness within our students, who return home better prepared to be leaders in thought and action. Phone: 503-285-1800 Center for Interim Programs Founded in 1980, Center for Interim Programs is the first independent gap-year organization in America. Based on students’ interests and budget, our e xperienced teachers help make individual course choices including: low cost volunteer options, language programs, research trips, and so on. We are committed to helping students find more experiences of formal education and work. Phone: 413-585-0980 EF Gap Year
黑龙江省2020年上学期大庆实验中学高三数学理开学考试试题 第I 卷（选择题) 一、单选题：本题共12小题，每小题5分，共60分 1.“2->a ”是“函数||)(a x x f -=在]1,(-∞上单调递减”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 2．如果消息A 发生的概率为()P A ，那么消息A 所含的信息量为2 1 ()log () I A P A =，若王教授正在一个有4排8列座位的小型报告厅里听报告，则发布的以下4条消息中，信息量最大的是（ ） A ．王教授在第4排B ．王教授在第4排第5列C ．王教授在第5列D ．王教授在某一排 3．为了调节高三学生学习压力，某校高三年级举行了拔河比赛，在赛前三位老师对前三名进行了预测，于是有了以下对话：老师甲：“7班男生比较壮，7班肯定得第一名”．老师乙：“我觉得14班比15班强，14班名次会比15班靠前”．老师丙：“我觉得7班能赢15班”． 最后老师丁去观看完了比赛，回来后说：“确实是这三个班得了前三名，且无并列，但是你们三人中只有一人预测准确”．那么，获得一、二、三名的班级依次为( ) A ．7班、14班、15班 B ．14班、7班、15班 C ．14班、15班、7班 D ．15班、14班、7班 4．我们从这个商标中抽象出一个图像如图，其对应的函数可能是( ) A.()211f x x = - B ．() 21 1 f x x =+ C ．()1 1 f x x = - D ．()1 1 f x x = - 5．千百年来，我国劳动人民在生产实践中根据云的形状、走向、速度、厚度、颜色等的变化，总结了丰富的“看云识天气”的经验，并将这些经验编成谚语，如“天上钩钩云，地上雨淋淋”“日落云里走，雨在半夜后”……小波同学为了验证“日落云里走，雨在半夜后”，观察了所在地区A 的100天日落和夜晚天气，得到如下22?列联表： 并计算得到219.05K ≈，下列小波对地区A 天气判断不正确的是（） A ．夜晚下雨的概率约为 12 B ．未出现“日落云里走”夜晚下雨的概率约为 514 C ．有99.9%的把握认为“‘日落云里走’是否出现”与“当晚是否下雨”有关 D ．出现“日落云里走”，有99.9%的把握认为夜晚会下雨