{高中试卷}湖南省20XX-2021学年浏阳一中、醴陵一中高二20XX月联考英语[仅供参考]

20XX年高中测试高中试题试卷科目:年级:考点:监考老师:日期:浏阳一中、醴陵一中20XX-20XX学年高二12月联考英语试题总分:150分时量:120分钟考试时间20XX年12月命题人:审题人:第一部分听力(共两节,满分30分)第一节(共五小题;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. What time does the bus leave?A.10:10.B.9:20XXC. 10:20XX.2.Where is the man’s biology textbook?A. Next to the TV.B. On the cupboard.C. Under his bed.3.What does the man think is the best way to get to know a place?A. Seeing travel films about it.B. Reading descriptions of it.C. Going therein person.4. Why does the woman make an early appointment?A. The tests must be done in the morning.B. She doesn’t want to take time off work.C. She mustn’t eat before the tests.5. What do we know about the woman?A. She has a meeting this eveningB. She will call the man at noon.C. She plans to play badminton this afternoon.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,各个小题将给出5秒钟的作答时间。

每段对话或独白读两遍。

听第6段材料,回答第6至7题。

6.Where are the speakers probably?A.In a storeB. At home.C. In a theatre.7.What kind of films does the woman want now?A. The ones that have sorrowful stories.B. The ones that can get her attention.C. The ones that make her pleased.听第7段材料,回答第8至9题。

8.Where does this conversation probably take place?A. In a supermarket.B. In a restaurant.C. In a cinema9.What do we know about the woman?A. She doesn’t like eating chocolate.B. She is trying to keep healthy now.C. She pays for the food.听第8段材料,回答第10至12题。

10.What did the government ask all adults to do?A. Help out in the warB. Learn special skills. .C. Work on Christmas Day.11.What did the woman do during World War Ⅱ?A. She trained nurses.B. She nursed the injured.C. She worked in the government.12.Why were the Manchester City Rest Centers short of staff?A. People were away for Christmas holiday.B. People went home after days of hard work.C. People got wounded in the war.听第9段材料,回答第13至16题。

13.What is the woman’s purpose in talking to the man?A. To interview him about his job.B. To ask him to help arrange an interview.C. To beg him to do the school project.14.What does the man do?A. An accountant.B. A professor.C.A driver.15.What is the man going to do?A. Have an interview with the woman.B. Make a telephone call.C. Share his opinions about diving.16.How does the woman feel about the project at last?A. Annoyed.B. Worried.C. Confident.听第10段材料,回答第17至20题。

17.What is the speaker doing?A. Coaching a football team.B. Cheering for his team.C. Reporting a match live.18.Why is the match starting late?A. The traffic is heavy.B. The weather is terrible.C. One player is badly injured.19.What happened after the match was on for 2 minutes?A. Rossi fell on the ground.B. Hank took the ball from Parker.C.The fans shouted happily for the goal.20.Who has kicked a goal?A. Parker.B. Hank.C. Rossi.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。

AIf you're travelling with kids in London, many London hotels have special services and features to help the family holiday, offering services for kids as well as games, bike hire and free ice cream!AthenaeumThe five-star Athenaeum is a fantastic family hotel, particularly with the addition of its kids' services. Even before you arrive, they'll be in touch to make sure your kids have their favorite DVDs, treats and anything else to keep them happy. And they can arrange your perfect family activities, from bike hire to theatre tickets.Chessington Safari HotelAt Chessington Safari Hotel, kids will love staying in an African adventure-themed room, having breakfast overlooking the animals of the Wanyama Reserve, watching family-friendly movies and getting into the theme park before it opens.Marlin ApartmentsMarlin Apartments operate more than 700 serviced apartments in London. Apartments are all within five minutes walk of the Tube (good for tired little legs!) with flat screen TVs, fully equipped kitchen and free Wi-Fi. One or two bedroom family apartments have extra room for fold out beds in the living area too.NovotelNovotel's family rooms are designed to accommodate two adults and two children. Accommodation and breakfast are free for under-16s (up to two staying in their parents' room). You can also enjoy a late check-out at 5p.m. on a Sunday, and while you lie in, the kids can entertain themselves with the Cartoon Network.The RitzKids at The Ritz are treated just as well as their parents, if not better! Children can enjoy computer games and DVDs, free ice cream and their own bathrobes and slippers. Under-16s can stay for free in their parents' bedroom, depending on the room type.A. you should ask about the kids' servicesB. you can buy bikes and order theatre ticketsC. you must arrange your family activitiesD.you will be asked about what your kids likeA. Chessington Safari HotelB. AthenaeumC. NovotelD. The RitzA. you can enjoy the best service in LondonB. you can enjoy free ice creamC. you can surf the Internet free of chargeD.you can have an extra room for freeBWe moved to Elmont in 1956. I was 4 years old. Elmont was a wonderful place to grow up. There were lots of kids, great schools and we had a big yard. Having grown up a city kid, my father, Nicholas Denaro, believed that grass was not just to look at, but that children were meant to play on it. We played games and badminton there. A white fence separated our backyard from a small wood. My friends and I jumped the fence and climbed trees.My father had the most amazing hand. He could fix anything. He gave those amazing hands to his son, my younger brother, Frank, who also became handy around the house. But my father saved his green fingers for me. He grew flowers, tomatoes, strawberries and figs and he shared his love of gardening with me.Fourteen years ago, I went to a local nursery and purchased a fig tree for Dad for Father’s Day. My mother, Bridget Denaro, ca lled it the best gift I could have given him. He planted it exactly in the middle of the front yard.He loved that tree and enjoyed delicious figs every year, except just after Sandy hit in 20XX. He was so disappointed when cold weather just after the superstorm froze all the remaining figs.In 20XX, my father died of aspirating pneumonia(呼吸性肺炎) at 97. We sold our family home of 61 years last year. We left behind Dad’s tree, full of figs waiting to ripen. We briefly considered taking it with us, but decided that his Father’s Day fig tree belonged in Elmont. The new owners generously allowed me to take some branches so that I could have a precious reminder of my much-loved father and the Elmont home.24. What can we learn about the author from the first paragraph?A. She grew up in a city.B. She liked climbing trees.C. She was naughty and stubbornD.She had a happy childhood. .25. What did Father teach the author?A. How to play games.B. How to garden well.C. How to color fingers.D. How to fix everything.26. Why did Father fail to enjoy figs in 20XX?A. The cold hit the fig treeB. He was ill in hospital..C. The tree didn’t bear figs.D. He moved to another city.27. What is the author’s purpose in writing the text?A. To show her love of figs.B. To share her childhood.C.To introduce her experience.D. To remember her father.CIn an effort to discourage people from using plastics, scientists have been hard at work inventing alternative packaging products. From water bottles made from seaweed to cutlery(餐具) made from rice and wheat, a number of inventions are set to change the way we eat while we are on the go, or having a relaxing picnic in the park.The idea of using seaweed to make eco-friendly water bottles has been around for a few years. Recently, Ari Jonsson took his invention—a water bottle made from red seaweed—to show off at a festival. The bottles will only hold their shape as long as they are filled. As soon as these bottles are empty they will begin to break down, though they would be perfectly safe to eat. Ari Jonsson's bottles are a step closer to a widely used alternative to the current plastic ones.The eatable water container is not the only product to add to our image of the future. Narayana Pessapaty has also created eatable spoons. After the success of his spoons, Mr. Pessapaty is ready to expand and introduce forks and chopsticks to his menu. His aim is to largely reduce the amount of plastic waste, which is a huge problem for waste sites all over the world, It is a product that may take up to 500 years to break down, and recycling companies worldwide are struggling to deal with it.Aside from the obvious benefits to the environment, this new packaging is also cheap to produce and therefore cheap to buy. Even better is the fact that similareatable cutlery can be made at home, possibly a science project for children or just fun with friends. Why not experiment and create your own recipes?28.Why do scientists invent alternative packaging products?A. To make people's life more convenient.B. To show off their inventive talents.C. To reduce the amount of plastic waste.D.To change the way we picnic outside.29. What makes Art Jonsson's water bottles eco-friendly?A. They can be made at home.B. They are cheap to produce and buy.C. They will break down themselves when empty.D. They will hold their shape when they are filled.30. What do Ari and Narayana's inventions have in common?A. They are safe to eat.B. They are convenient to carry.C. They can be used for a short time.D. They are heavier than plastics.31. What can be inferred from this passage?A. Eatable cutlery will completely replace plastics in the near future.B. Home-made eatable cutlery is likely to be popular.C. No recycling companies can break down plastic waste.D. It’s unsafe for individuals to invent eatable cutlery at home.DA European Union program is letting blind people experience famous paintings for the first time. It uses three dimensional (3-D) printing to re-create famous paintings so they can be touched.One painting printed with the new technology is Gustav Klimt’s “The Kiss.” It is a popular attraction at the BelvedereMuseum in Vienna, Austria. The painting shows a man and a woman standing in a field filled with flowers. They are wearing gold robes and have their arms around each other. The man leans down to kiss the woman.Klimt finished the painting in 1920XX. Until now, people who had trouble seeing could not appreciate the artwork. But thanks to the reproduction they can touch thepiece and feel the ridges and depressions. Andreas Reichinger started making 3-D versions of artwork in 20XX. He said this reproduction was his most difficult project because the couple’s robes are so detailed.Dominika Raditsch is a blind museum visitor. She touched the reproduction. As she moved her hands around it she said, ”Exactly, can you see these? There are so many details.“ Raditsch said she can imagine what the original painting looks like when she touches the reproducti on. “It’s somehow round. You can feel it. It comes with it. And in many places it’s so smooth. And then I think to myself: it probably shines too!” Raditsch said.The Belvedere is not the only museum to have 3-D versions of its artwork. Some of the pieces at the Prado, in Madrid, Spain, have reproductions that can be touched. But the piece in Vienna has one special part: it is made with widely available 3-D printing technology. That means one day, blind art fans anywhere in the world could download the source files and print the reproductions themselves.32. What is ”The kiss”?A. A popular painting B .A European Union project.C. A 3-D technology.D. A famous museum.33. Why did Reichinger say this reproduction was difficult to finish?A.The original artwork was made in 1920XX.B.The painting was reproduceddetailedly.C. Blind art fans can’t download the source.D. The 3-D technology is notavailable.34. How did Raditsch feel when she first touched the reproduction?A. Awkward.B. Puzzled.C. Nervous.D. Excited.35. What is the best title for the text?A. 3-D Printing Lets Blind Experience Famous PaintingB. A European Union Program for Museum VisitorsC. How to Reproduce the World-famous PaintingsD. A SpecialMuseum for Art Fans in Vienna, Austria第二节(共5小题;每小题2分,满分10分)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。

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XX省浏阳一中、醴陵一中学年高二物理联考试题

XX省浏阳一中、醴陵一中学年高二物理联考试题

浏阳一中、醴陵一中2018年下学期高二年级联考物理试题总分:100分时量:90分钟考试时间2018年12月×日一、选择题(本题共12小题,共48分。

1~8题在给出的四个选项中,只有一个选项正确。

9~12在给出的四个选项中,有多个选项正确。

全部选对的得4分,选不全的得2分,错选的不得分)1. 法拉第在1831年发现了“磁生电”现象。

如图,他把两个线圈绕在同一个软铁环上,线圈A和电池连接,线圈B用长直导线连通,长直导线正下面平行放置一个小磁针。

实验中可能观察到的现象是A. 只要A线圈中电流足够强,小磁针就会发生偏转B. A线圈闭合开关电流牢固后,线圈B匝数较少时小磁针不偏转,匝数足够多时小磁针偏转C. 线圈A和电池接通刹时,小磁针会偏转D. 线圈A和电池断开刹时,小磁针不会偏转2. 一个电阻为100Ω、匝数为1000匝的线圈,在0.5s内经过它的磁通量从0.02 Wb平均增加到0.09 Wb,把一个电阻为900 Ω的电热器连接在它的两端则电热器耗资的电功率为A. 40WB. 19.6WC. 17.6WD. 14 W3. 某学生在研究串通电路电压特点的实验时,接成以下列图的电路,接通S后,他将大内阻的电压表并联在A,C两点间,电压表读数为U,当并联在A,B两点间时,电压表读数也为U,当并联在B,C两点间时,电压表的读数为零,则出现此种情况的原因可能是(R1,R2的阻值相差不大)A. AB段断路BC段短路B. AB段短路BC段短路C. AB段短路BC段断路D.AB段断路BC段断路4. 以下列图,a、b分别为一同等量同种电荷连线上的两点(其中b为中点),c为连线中垂线上的一点。

今将一负点电荷q自a沿直线移到b再沿直线移到c,以下说法正确的选项是A. 电荷q碰到的电场力素来变小B. 电场力对电荷q素来做负功C. 电荷q的电势能先减小,后增加D. 电荷q碰到的电场力方向素来不变5.某带电粒子仅在电场力作用下由A点运动到B点,电场线、粒子在A点的初速度及运动轨迹以下列图,可以判断A.粒子带正电B.A点的电势低于B点的电势C.粒子在A点的加速度大于它在B点的加速度D.粒子在A点的动能大于它在B点的动能6.一根粗细平均的细橡胶管,里面灌满盐水,两端用粗铜丝塞住管口,形成一段封闭的盐水柱,长度为30 cm; 在盐水柱两端加电压U时,盐水柱中自由电荷定向搬动的平均速率为.现握住橡胶管的两端把它平均拉长至40 cm.尔后在两端同时加电压U时,此时盐水柱中自由电荷定向搬动的平均速率为A.B.C.D.7. 回旋加速器是加速带电粒子的装置,其核心部分是分别与高频交流电源两极相连接的两个D形金属盒,两盒间的狭缝中形成周期性变化的电场,使粒子在经过狭缝时都能获取加速,两D形金属盒处于垂直于盒底的匀强磁场中,以下列图。

2020-2021学年湖南省长沙市浏阳一中高一(下)第一次月考数学试卷 Word版含解析

2020-2021学年湖南省长沙市浏阳一中高一(下)第一次月考数学试卷 Word版含解析

2022-2021学年湖南省长沙市浏阳一中高一(下)第一次月考数学试卷一、选择题:(在每小题给出的四个选项中,只有一项是符合题目要求的,本大题共10小题,每小题5分,共50分)1.若sinα<0且tanα>0,则α是()A.第一象限角B.其次象限角C.第三象限角D.第四象限角2.若点P 在的终边上,且OP=2,则点P的坐标()A.(1,)B.(,﹣1)C.(﹣1,﹣)D.(﹣1,)3.下列函数中,最小正周期为的是()A.B.C.D.4.已知sinα﹣cosα=﹣,则sinαcosα=()A.B.C.D.5.已知()A.B.C.D.6.将函数y=sin4x 的图象向左平移个单位,得到y=sin(4x+φ)的图象,则φ等于()A.B.C.D.7.函数y=sin(2x+)图象的对称轴方程可能是()A.x=﹣B.x=﹣C.x=D.x=8.设,,,则()A.a<b<c B.a<c<b C.b<c<a D.b<a<c 9.函数f(x)=cos2x+2sinx的最小值和最大值分别为()A.﹣3,1 B.﹣2,2 C.﹣3,D.﹣2,10.若动直线x=a与函数f(x)=sinx和g(x)=cosx的图象分别交于M,N两点,则|MN|的最大值为()A.1 B.C.D.2二、填空题:(把答案填在答题卡相应题号后的横线上,本大题共5小题,每小题5分,共25分).11.sin15°+cos15°=.12.若角α的终边经过点P(1,﹣2),则tan2α的值为.13.已知,则sin(2α+β)=.14.函数的最小正周期为.15.下列命题中真命题的序号是.①y=sin|x|与y=sinx的象关于y轴对称.②y=cos(﹣x)与y=cos|x|的图象相同.③y=|sinx|与y=sin(﹣x)的图象关于x轴对称.④y=cosx与y=cos(﹣x)的图象关于y轴对称.三、解答题:解答应写出文字说明、证明过程或演算步骤(本大题共6小题,共75分)16.已知tanα=3,计算:(1);(2)sinαcosα;(3)(sinα+cosα)2.17.已知函数y=a﹣bcos3x(b>0)的最大值为,最小值为﹣,求函数y=﹣4asin3bx的单调区间、最大值和最小正周期.18.已知cosα=,cos(α+β)=,且,,求tan及β的值.19.函数(A>0,ω>0)的最大值为3,其图象相邻两条对称轴之间的距离为,(1)求函数f(x)的解析式;(2)设,则,求α的值.20.已知函数y=Asin(ωx+φ)(x∈R,A,ω>0,﹣<φ<)图象上一个最高点为P(2,2),由这个最高点到相邻最低点间的曲线与X轴相交于点Q(6,0).(1)求这个函数的解析式;(2)写出这个函数的单调区间.21.已知函数.(Ⅰ)求函数f(x)的最小正周期和图象的对称轴方程;(Ⅱ)求函数f(x)在区间上的值域.。

2020┄2021届湖南浏阳一中高三年级第二次月考试理综—化学试卷

2020┄2021届湖南浏阳一中高三年级第二次月考试理综—化学试卷

2021年湖南浏阳一中高三年级第二次月考试理综化学试卷本试卷分第Ⅰ卷(选择题)和第Ⅱ卷(非选择题)两部分,总300分,考试时间150分钟可能用到的相对原子质量:H:l C:12 O:16 S:32 Cl:35.5 Na:23 Al:27 Fe:56Mn:55第Ⅰ卷(选择题,共126分)一、选择题(本题包括13小题,每小题6分)形成原子数之比为1:1稳定化合物的7.、下列各组给定原子序数的元素,不能..是A.3和17 B.1和8 C.1和6 D.7和128、下列各组离子在指定溶液中能大量共存的是①无色溶液中:K+、Na+、Cr2 072–、S042-②pH =11的溶液中:CO32-、Na+、N03-、AlO2-③加入Al能放出H2的溶液中:Cl-、S042 -、N03–、Mg2+④在由水电离出的c(OH-)= 10–3的溶液中:Na+、Ba2+、Cl-、I-⑤在溶液中能大量共存,加入NaOH后加热既有气体放出又有沉淀生成的:Ca2+、HC03–、NH4+、AlO2–⑥能使无色酚酞变红色的溶液:Na+、 Cl -、S2-、S032-A.①③⑤B.②④⑤C.②④⑥D.④⑤⑥9、下列离子方程式正确的是A.向Mg( HC03)2溶液中加入过量的NaOH溶液:Mg2+ +2 HC03- +20H-==MgC03↓ +C032-+ 2H20B.向NH4 Al( S04)2溶液中滴人Ba( OH)2溶液使SO42-反应完全:2Ba2++ 40H-十Al3++ 2 SO42-==2BaS04↓+Al02- +2H20C.足够的C02通入饱和碳酸钠溶液中:C02+CO32-+ H20 =2 HC03-D.向Fe( N03)2溶液中加入稀盐酸:3Fe2+ +4H++N03-==3Fe3++ NO↑+2H20 10、设N A为阿伏伽德罗常数的值。

下列叙述正确的是A. 1molAl3+离子含有的核外电子数为3N AB.25℃,pH=13的NaOH溶液中含有OH—的数目为0.1N AC.标准状况下,2.24L已烷含有分子的数目为0.1N AD.常温常压下,Na2O2与足量H2O反应,共生成0.2molO2,转移电子的数目为0.4N A11、NaH是一种离子化合物,跟水反应的化学方程式为:NaH+H2O===NaOH+H2↑,现在a mol NaH与b mol Al粉混合物跟足量的水反应(a<b),在标准状况下可收集到氢气的量为A.56a L B.(错误!a+b) molC.(a+错误!b) mol D.56b L12、在预防甲型H1N1流感疫情时,防疫部门使用了含氯类消毒剂,其中的氯胺是一种长效缓释有机氯消毒剂,有强氧化性,其杀菌能力是一般含氯消毒剂的4~5倍,下列有关氯胺(NH2Cl)的说法一定不正确的是()A.氯胺水解产物为NH2OH(羟氨)和HClB.氯胺的消毒原理与漂白粉相似C.氯胺中氯的化合价为+1D.氯胺的电子式为13、一定体积的KMnO4溶液恰好能氧化一定质量的KHC2O4·H2C2O4·2H2O。

湖南省浏阳一中、醴陵一中高二上学期联考试题(数学文).doc

湖南省浏阳一中、醴陵一中高二上学期联考试题(数学文).doc

湖南省浏阳一中、醴陵一中高二上学期联考试题(数学文)本卷共22题,时量1,满分150分一、选择题(共10小题,每小题5分,共计50分,在每小题列出的四个选项中,只有一项是符合题目要求的)1. 在△ABC 中,若a= 2 ,b =,030A = , 则B 等于( )A .60B .60或 120C .30D .30或150 2. 抛物线2y =-8x 的焦点坐标是 ( )A .(2,0) B. (- 2,0) C. (4,0) D. (- 4,0) 3. 数列}{n a 是等差数列,已知,,8a 5a 52==则=8aA.13B.12C.11D.10 4. 如果0,0a b <>,那么,下列不等式中正确的是 ( )A .11a b< B< C .22a b < D .||||a b > 5.若⎪⎩⎪⎨⎧≥+≤≤2y x 2y 2x ,则目标函数y 2x z +=的最大值是 ( )A.2B.4C.5D.6 6. “0ab <”是方程1by ax 22=+表示双曲线的( )A .必要不充分条件B .充分不必要条件C .充要条件D .既不充分也不必要条件 7.如果命题“p 或q ”是真命题,“p 且q ”是假命题,那么( )A.命题p 和命题q 都是假命题;B. 命题p 和命题q 都是真命题;C.命题p 和命题“非q ”真值不同;D. 命题p 和命题q 的真值不同。

8. 椭圆221925x y +=的焦点为1F 、2F ,AB 是椭圆过焦点1F 的弦,则2ABF ∆的周长是( ) A .20 B .12 C .10 D .6 9. 已知等比数列}{n a 的公比为2,前4项的和是1,则前8项的和为 A .15 B .17 C .19 D .2110. 以椭圆19y 25x 22=+的焦点为焦点,离心率e =2的双曲线方程是( ) A.112y 4x 22=-B.114y 6x 22=-C.112y 6x 22=-D.114y 4x 22=- 二、填空题(共6小题,每小题5分,共30分) 11.若0x >,则2x x+的最小值为________. 12.已知数列1,21a a ,,4成等差数列;1321b b b ,,,,4成等比数列,则221b a a +的值为______。

湖南省浏阳一中、醴陵一中2020学年高二数学12月联考试题 理(含解析)

湖南省浏阳一中、醴陵一中2020学年高二数学12月联考试题 理(含解析)

浏阳一中、醴陵一中2020年下学期高二年级联考理科数学试题一、选择题:本大题共12小题,每小题5分,在每个小题给出的四个选项中,只有一项符合题目要求的.1.设数列的前项和,则的值为()A. 15B. 37C. 27D. 64【答案】B【解析】【分析】根据当时,求解即可得到答案.【详解】由题意得,,故选B.【点睛】本题考查数列的项与前n项和之间的关系,考查变化能力和计算能力,属于基础题.2.设命题,则为A. B.C. D.【答案】C【解析】全称性命题的否定是特称性命题,所以选C.3.若非零向量,满足,则与的夹角为( )A. B. C. D.【答案】C【解析】依题意有,由于两个向量的模相等,故上式化简得.4.设曲线在点(3,2)处的切线与直线垂直,则( )A. 2B.C.D.【解析】试题分析:因为,所以选B.考点:导数几何意义【思路点睛】(1)求曲线的切线要注意“过点P的切线”与“在点P处的切线”的差异,过点P的切线中,点P不一定是切点,点P也不一定在已知曲线上,而在点P处的切线,必以点P为切点.(2)利用导数的几何意义解题,主要是利用导数、切点坐标、切线斜率之间的关系来进行转化.以平行、垂直直线斜率间的关系为载体求参数的值,则要求掌握平行、垂直与斜率之间的关系,进而和导数联系起来求解.5.等比数列中,则的值为( )A. 10B. 20C. 36D. 128【答案】B【解析】【分析】根据等比数列的性质可得,然后根据对数的运算性质可得所求结果.【详解】∵数列为等比数列,且,∴,∴.故选B.【点睛】在等比数列的计算问题中,除了将问题转化为基本量的运算外,还应注意等比数列下标和性质的运用,即“若,则”,用此性质进行解题可简化运算,提高运算的效率.6.设都是不等于1的正数,则“”是“”成立的()A. 充要条件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【答案】D【分析】又及的到实数的关系,比较后可得结论.【详解】由可得;由得.所以当“”成立时,“”不成立;反之,当“”成立时,“”也不成立,所以“”是“”成立的既不充分也不必要条件.故选D.【点睛】判断条件是条件的什么条件时,一般根据定义进行求解,也可转换为条件和条件对应的集合间的关系进行求解,而对于含有否定性词语的命题,在判定时常转化为其等价命题处理,解题时要注意转化的合理性和准确性,属于基础题.7.若,则等于()A. 2B. 0C.D.【答案】D【解析】,选D.8.在等差数列中,,,则数列的前项和的最大值为()A. B. C. 或 D.【答案】A【解析】【分析】由可得,再根据可得,,从而可得前项和的最大值为.【详解】∵等差数列中,,∴,∴,又,∴,,即数列的前15项为正值,从第16项开始为负值.∴数列的前项和的最大值为.故选A.【点睛】求等差数列前n项和最大值的方法:(1)根据题意求出前项和的表达式,然后根据二次函数的知识求解;(2)根据题意求出等差数列中正负项的分界点,根据正项和负项的位置进行判断,即在等差数列中,若,则前项和有最大值;若若,则前项和有最小值.9.双曲线的左、右焦点分别为,P为双曲线右支上一点,I是的内心,且,则()A. B. C. D.【答案】D【解析】【分析】画出图形,将用、和表示出来,然后再根据双曲线的定义求解即可得到结论.【详解】如图,设内切圆的半径为.由得,整理得.因为P为双曲线右支上一点,所以,,所以.故选D.【点睛】本题以焦点三角形的内切圆和三角形的面积为载体考查双曲线的定义,解题的关键在于转化,注意将条件中给出的三角形的面积用线段长度表示出来,然后再用定义求解,属于基础题.10.如图,的二面角的棱上有两点,直线分别在这个二面角的两个半平面内,且都垂直于.已知,则的长为A. B. 7 C. D. 9【答案】C【解析】如下图,作连CE,所以ABDE为矩形,,AB=DE=4,,,选C.11.在椭圆上有两个动点,为定点,,则的最小值为( ).A. 4B.C.D. 1【答案】C【解析】【分析】由题意得,然后转化为椭圆上的点到点的距离的问题处理,根据二次函数的最值可得所求.【详解】由题意得.设椭圆上一点,则,∴,又,∴当时,取得最小值.故选C.【点睛】解答圆锥曲线中的最值问题时,可将所求的最值表示成某一参数的表达式,然后再根据不等式或函数的知识求解,由于解题中要涉及到复杂的计算,所以在解题时要注意计算的合理性,适当运用换元等方法进行求解.12.函数的图象关于直线对称,当时,成立,若,则的大小关系是()A. B. C. D.【答案】B【解析】【分析】由函数的图象关于直线对称可得函数的图象关于直线对称,即函数为偶函数.再根据题意构造函数,则为偶函数,且,故在上单调递减.最后通过比较到y轴距离的大小可得的大小关系.【详解】∵函数的图象关于直线对称,∴函数的图象关于直线对称,即函数为偶函数.设,则为偶函数,又当时,,∴在上单调递减.又,∴,即.故选B.【点睛】本题综合考查函数性质和导数求导法则的应用,解题的关键是根据题意构造函数,然后根据此函数的奇偶性和单调性将比较函数值大小的问题,转化为比较自变量大小的问题.考查转化思想方法的运用和计算能力,属于中档题.二、填空题:本大题共4小题,每小题5分,共20分.13.设等差数列的前项和为,若,则 ________。

湖南省浏阳一中、醴陵一中高二上学期联考试题(数学理).doc

湖南省浏阳一中、醴陵一中高二上学期联考试题(数学理).doc

湖南省浏阳一中、醴陵一中高二上学期联考试题(数学理)本卷共21小题,时量1,满分150分一、选择题(共10小题,每小题5分,共计50分。

在每小题列出的四个选项中,只有一项是符合题目要求的。

)1. 在ABC ∆中,o 45C 22c 32a ===,,,则A 为:A.60°或1B. 60°C. 30°或150°D. 30°2. 已知等差数列}{n a 中,,,1a 16a a 497==+则12a 为:A.15B.30C.31D.643. 等差数列}{n a 中,120S 10=,那么92a a +的值为:A.12B.24C.16D.484. 等比数列}{n a 中,243a 9a 52==,,则数列}{n a 的前4项和为A.81B.1C.168D.1925.二次不等式0c bx ax 2<++的解集是全体实数的条件是:A.⎩⎨⎧>∆>00aB. ⎩⎨⎧<∆>00aC. ⎩⎨⎧>∆<00aD. ⎩⎨⎧<∆<00a6.一元二次不等式03x 2x <-+))((的解集为:A. }|{3x 2x x >-<或B. }|{2x 3x <<-C. }|{2x 3x x >-<或D. }|{3x 2x <<-7.已知实数x,y 满足约束条件x y z 0y 0x 1y x -=⎪⎩⎪⎨⎧≥≥≤+则,的最大值为:A. 1B. 0C. 1-D.2-8. 已知椭圆5ky x 522=+的一个焦点是(0,2),则k 为:A. 1-B. 1C. 5D.5-9. 设P 是双曲线19y ax 222=-上一点,双曲线的一条渐近线方程为0y 2x 3=-,1F 、2F 分别是双曲线的左、右焦点,若3=|PF |1,则|PF |2等于:A. 1或5B. 6C. 7D. 910.焦点在直线012y 4x 3=--上的抛物线标准方程为:A. x 12y 16x 22==y 或B. y 12x 16y 22==x 或C. y 12x 16y 22-==x 或 D. x 12y 16x 22-==y 或二、填空题(共5小题,每小题5分,共计25分)11. 在ABC ∆中,若,,,8c 3b 7a ===则其面积等于__________. 12.已知数列}{n a 的前n 项和为n 21n S 2n +=,则这个数列的通项公式为____________. 13.已知1y 4x R y x =+∈+且,,,则y x ,的最大值是__________.14.抛物线x 8y 2=上到焦点的距离等于6的点的坐标是___________. 15.已知椭圆上点M ),(32,且两个焦点是(-2,0)1F 和(2,0)2F ,这个椭圆的标准方程为____________.三、解答题(本大题共6小题,共75分)16. 在ABC ∆中,,已知,,,o 30A 6b 32a ===求B 、ABC S ∆以及ABC ∆的外接圆半径。

湖南省浏阳一中2020至2021学年高二第一次阶段性考试数学真题

湖南浏阳一中2020-2021学年上学期高二年级第一次阶段性考试 数 学(理科)时量:120分钟 分值:150分 命题:黄杏芳 审题:汤柏黄一、选择题 (本大题共8小题,每小题5分,共40分.) 112+与12-两数的等比中项是( )A 1B 1-C 1± D21 2.数列{}n a 的前n 项和为n S ,若1(1)n a n n =+,则5S 等于( )A .1B .56C .16D .1303、对于任意实数a 、b 、c 、d ,命题①bc ac c b a >≠>则若,0,;②22,bc ac b a >>则若 ③b a bc ac >>则若,22;④ba b a 11,<>则若;⑤bd ac d c b a >>>>则若,,0.其中真命题的个数是( )(A)1 (B)2 (C)3 (D)4 4.已知一等比数列的前三项依次为33,22,++x x x ,那么4120-是此数列的第( )项。

A 4 B 5 C 6 D 7 5.已知0>x ,则xx y 4+=有( )。

A.最大值4 B.最小值2 C.最大值5D.最小值46.等差数列{}n a 的前n 项和为S n ,若31710a a +=,则19s = ( ) A .55 B .100 C .95 D .不能确定7.若{}n a 是等差数列,首项120032004200320040,0,.0a a a a a >+><,则使前n 项和0n S >成立的最大自然数n 是:( )A .4005B .4008C .4007D .4006 8.设集合y x y x y x A --=1,,|),{(是三角形的三边长},则A 所表示的平面区域(不含边界的阴影部分)是 ( )A .B .C .D . 二、填空题(本大题共7小题,每小题5分,共35分) 9. 数列{}n a 中,11,211+==+nn a a a ,则=4a 10.等比数列}{n a 中a n >0,且243879236a a a a a a ++=,则38a a += ( ) 11. 函数)12lg()(2--=x x x f 的定义域是 . 12 两个等差数列{}{},,n n b a ,327......2121++=++++++n n b b b a a a n n 则55b a=___________13.若)0,0(01>>=-+y x y x ,则11++x y 的取值范围是___________。

湖南省浏阳市第一中学2020至2021学年高二上学期第一次阶段测试数学理科试题

湖南省浏阳市第一中学2020-2021学年高二上学期第一次阶段测试数学(理)试题时间:120分钟 总分:150分一、选择题:(每小题5分,共计50分) 1. 函数232+-=x x y 的定义域是( )A. []21, B. ),2[]1,(+∞⋃-∞ C. )21(,D.),2()1,(+∞⋃-∞ 2.函数)2sin(sin )(x x x f -=π的最小正周期为( )A .πB .23π C .2πD .2π 3.已知数列{a n }是等差数列,a 2=2,a 5=8,则公差d 的值为( ) A .12B .12-C .2D .-24.等比数列{}n a 中,33a =-,则的值是54321a a a a a ( )A .53 B .53- C .63 D .63-==-=+611.,1.5a n a a a n n 则已知 ( )A .16B .15C .14D .13 6.下列关于不等式的说法正确的是 ( )A.若b a >,则ba 11< B.若b a >,则22b a >C.若b a >>0,则ba 11<D.若b a >>0,则22b a >7.ABC ∆的内角C B A ,,所对的边c b a ,,满足()422=-+c b a ,且C=60°,则ab 的值为( )A .34 B .348- C . 1 D .32 8.等差数列{a n }的前n 项和为S n ,若等于则642,10,2S S S ==( )A. 12B. 18C. 24D.429.等比数列{}n a 中,452,5a a ==,则数列{lg }n a 的前8项和等于 ( )A .6B .5C .4D .310.已知两个等差数列{}n a 和{}n b 的前n 项和分别为A n 和n B ,且7453n n A n B n +=+, 则使得nna b 为整数的正整数n 的个数是( ) A .2B .3C .4D .5二、填空题:(每小题5分,共计25分)11.已知向量a=(2,1),b =(1,2) 则b a ⋅=______。

湖南省醴陵市第一中学2020-2021学年高二上学期入学考试物理试题含答案解析

A.b、d两点处的电势相同
B.四点中c点处的电势最低
C.b、d两点处的电场强度相同
D.将一试探电荷+q沿圆周由a点移至c点,+q的电势能减小
9.如图,两电荷量分别为Q(Q>0)和-Q的点电荷对称地放置在x轴上原点O的两侧,a点位于x轴上O点与点电荷Q之间,b位于y轴O点上方.取无穷远处的电势为零,下列说法正确的是
A.小球的机械能与弹簧的弹性势能之和保持不变
B.小球重力势能的减少量等于小球电势能的增加量
C.弹簧弹性势能的减少量等于小球动能的增加量
D.小球动能的增加量等于电场力和重力做功的代数和
11.如图所示,真空中固定两个等量异号点电荷+Q、-Q,图中O是两电荷连线中点,a、b两点与+Q的距离相等,c、d是两电荷连线垂直平分线上的两点,bcd构成一等腰三角形,a、e两点关于O点对称.则下列说法正确的是( )
14.如图所示的匀强电场中,有a、b、c三点,ab=5cm,bc=12cm,其中ab沿电场线方向,bc和电场线方向成60°角,一个电荷量为q=4×10-8C的正电荷从a点移到b点时静电力做功为W1=1.2×10-7J,求:
(1)匀强电场的场强E;
(2)电荷从b移到c,静电力做功W2;
(3)a、c两点间的电势差Uac.
A.
B.
C.
D.
三、解答题
13.把带电荷量2×10﹣8C的正点电荷从无限远处移到电场中A点,要克服电场力做功2×10﹣6J,若把该电荷从电场中B点移到无限远处,电场力做功8×10﹣6J,取无限远处电势为零。求:
(1)A点的电势;
(2)A、B两点的电势差;
(3)若把2×10﹣5C的负电荷由A点移到B点的过程中所做的功。
C.放在P点的检验电荷的电量越大,则受到的电场力越大

湖南省浏阳一中、醴陵一中2020学年高二数学12月联考试题 文

浏阳一中、醴陵一中2020年下学期高二年级联考数学(文)试题总分:150分 时量:120分钟 考试时间:2020年12月 姓名_____________ 考号_______________一、选择题:本大题共12个小题,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.设数列{a n }的前n 项和S n =n 3,则a 4的值为( )A. 15B. 37C. 27D. 642.椭圆2211625x y +=的焦点为F 1,F 2,p 为椭圆上一点,若=1PF 3,则=2PF ( ) A.3 B.5 C.7 D.93.等差数列{}n a 满足9a 2a a a 742724=++,则其前10项之和为( )A .-9B .-15C .15D .±15 4.利用独立性检验的方法调查大学生的性别与爱好某项运动是否有关,通过随机询问名不同的大学生是否爱好某项运动,利用列联表,由计算可得.参照附表,得到的正确结论是( ) A.有以上的把握认为“爱好该项运动与性别无关” B.有以上的把握认为“爱好该项运动与性别有关”C.在犯错误的概率不超过的前提下,认为“爱好该项运动与性别有关”D.在犯错误的概率不超过的前提下,认为“爱好该项运动与性别无关”5.函数()x 12-x x f 3=在区间[]3,3-上的最小值是( )A.-9B.-16C.-12D.96.过抛物线y 2=4x 的焦点作直线交抛物线于A(x 1,y 1),B (x 2,y 2)两点,如果 AB 中点的横坐标为3,那么|AB|等于( ).A .10B .8C .6D .47. 如果数列{}n a 的前n 项和为3-a 23s n n =,则这个数列的通项公式是( )A.()1n n 2a 2n ++=B.n n 23a ⋅=C.1n 3a n +=D.n n 32a ⋅=8.已知实数y x ,满足⎪⎩⎪⎨⎧≥+<≥+01-y x 2x 012y -x ,1-y 2-x 2z =则z 的取值范围是( )A.⎥⎦⎤⎢⎣⎡5,35B.[]50,C.[)50,D.⎪⎭⎫⎢⎣⎡5,35 9.已知a ,b ∈R ,下列四个条件中,使a b >成立的必要而不充分的条件是( ) A .1a b >-B .1a b >+C .a b >D .22a b >10.若函数f (x)=x 3−tx 2+3x 在区间[1,4]上单调递减,则实数t 的取值范围是( ) A .51(,]8-∞ B .(,3]-∞ C .51[,)8+∞ D .[3,)+∞11.若椭圆与直线交于两点,过原点与线段的中点的直线的斜率为,则的值为( ) A.B.C.D.12. 在正项等比数列{}n a 中,存在两项m a ,n a ,使得1n m a 4a a =且567a 2a a +=则n5m 1+的最小值是( ) A .47 B .351+ C .625 D.352二、填空题(每题5分,满分20分,将答案填在答题纸上)13.函数()2x e x f x +=(e 为自然对数的底数)的图像在点(0,1)处的切线方程是____________14.已知数列{}n a 中,11,a =前n 项和为n S ,且点*1(,)()n n P a a n N +∈在直线10x y -+=上,则1231111nS S S S ++++L =_________________________ 15.若不等式对于任意正整数n 恒成立,则实数a的取值范围是_______________________16.椭圆C :()0b a 1b y a x 2222>>=+ 的左右焦点分别为21F ,F ,焦距为2c. 若直线()c x 3y +=与椭圆C 的一个交点M 满足1221F MF 2F MF ∠=∠,则该椭圆的离心率等于____________三、解答题 (本大题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.)17. (本题满分10分)已知命题p :02082≤--k k ,命题q :方程11422=-+-kyk x 表示焦点在x 轴上的双曲线.(1)若命题q 为真命题,求实数k 的取值范围;(2)若命题“q p ∨”为真,命题“q p ∧”为假,求实数k 的取值范围.18.(本题满分12分)已知函数cx bx ax )x (f 23++=,若其导函数x x f 的0)(>'的取值范围为(1,3). (1) 判断)(x f 的单调性(2)若函数)(x f 的极小值为-4,求)(x f 的解析式与极大值19.(本题满分12分)某地随着经济的发展,居民收入逐年增长,下表是该地一建设银行连续五年的储蓄存款(年底余额),如下表1:为了研究计算的方便,工作人员将上表的数据进行了处理,得到下表2:(1)求关于的线性回归方程;(2)通过(1)中的方程,求出关于的回归方程; (3)用所求回归方程预测到年年底,该地储蓄存款额可达多少?(附:对于线性回归方程,其中,)20. (本题满分12分)已知等比数列{}n a 的公比1q >,且28a a a 543=++,2a 4+是3a ,5a 的等差中项.数列{}n b 满足1b 1=,数列(){}n n 1n a b -b +的前n 项和为n 2n 2+. (1)求q 的值; (2)求数列{b n }的通项公式.21.(本题满分12分)已知椭圆2222:1(0)x y C a b a b +=>>的左、右焦点分别为12,F F ,若椭圆经过点1)P -,且12PF F ∆的面积为2.(1)求椭圆C 的标准方程;(2)设斜率为1的直线l 与以原点为圆心,半径为的圆交于,A B 两点,与椭圆C 交于,CD 两点,且||||()CD AB R λλ*=∈,当λ取得最小值时,求直线l 的方程并求此时λ的值.22.(本题满分12分)已知函数()ln f x x ax b =-+,其中,a b R ∈ (1)求()f x 的单调区间(2)若[]1,0,2a b =∈,且存在实数k ,使得对任意实数[]1,x e ∈,恒有()ln 1f x kx x x ≥--成立,求k b -的最大值浏阳一中、醴陵一中2020年下学期高二联考数学(文)试题 参考答案:一、BCDBBB DCACBA二、13.1x 3y += 14.21nn + 15.⎪⎭⎫⎢⎣⎡-23,2 16. 13-三、解答题 (本大题共6小题,共70分.解答应写出文字说明、证明过程或演算步骤.)18. (本题满分10分)已知命题p :02082≤--k k ,命题q :方程11422=-+-kyk x 表示焦点在x 轴上的双曲线.(1)若命题q 为真命题,求实数k 的取值范围;(2)若命题“q p ∨”为真,命题“q p ∧”为假,求实数k 的取值范围. 17.(本小题满分10分)解:由02082≤--k k ,得102≤≤-k ,即p :102≤≤-k .(2分)由⎩⎨⎧<->-0104k k ,得41<<k ,即q :41<<k .(4分) (1)由命题q 为真命题,得实数k 的取值范围为()41,.(6分) (2)由题意知命题p ,q 一真一假.若p 真q 假,则⎩⎨⎧≥≤≤≤-41102k k k 或,解得10k 41k 2-≤≤≤≤或;若p 假q 真,则⎩⎨⎧<<>-<4K 110k 2k 或,此时无解.(8分) ∴实数k 的取值范围为[][]10,41,2Y -.(10分) 18.(本题满分12分)已知函数cx bx ax )x (f 23++=,若其导函数x x f 的0)(>'的取值范围为(1,3). (1) 判断)(x f 的单调性(2)若函数)(x f 的极小值为-4,求)(x f 的解析式与极大值 解:(Ⅰ)由题意知)0)(3)(1(323)(2<--=++='a x x a c bx ax x f ,(,1),()0,(1,3),()0,(3,),()0.f x f x f x '''∴-∞<>+∞<在上在在上因此)(x f 在(,1)(1,3),(3,).-∞+∞单调递减,在单调递增在单调递减…………6分由(1)可得1)(0=x x f 在处取得极小值-4,在x=3处取得极大值。

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