【附加15套高考模拟】【全国百强校】上海市复旦大学附属中学2020届高三下学期第一次综合测试数学试题含答案
【附加15套高考模拟】【全国百强校】上海市延安中学2020届高三第二学期适应性考试(三模)数学(文)试题含
【全国百强校】上海市延安中学2020届高三第二学期适应性考试（三模）数学（文）试题一、选择题：本题共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．已知椭圆22122:1(0)x y C a b a b+=>>与圆2222:b y x C =+，若在椭圆1C 上存在点P ，过P 作圆的切线PA ,PB ,切点为A ,B 使得，则椭圆1C 的离心率的取值范围是（ ）A ．3B ．23[ C ．2[D ．)1,21[2．设双曲线C ：221(0)8x y m m-=>的左、右焦点分别为1F ，2F ，过1F 的直线与双曲线C 交于M ，N两点，其中M 在左支上，N 在右支上.若22F MN F NM ∠=∠，则MN =（ ）A ．82B ．8C ．42D ．43．已知各项均为正数的等差数列{}n a 的公差为2，等比数列{}n b 的公比为-2，则（ ） A ．14n n a a b b --=B ．14n n a a b b -=C ．14n n a a b b --=- D ．14nn a a b b -=-4．若方程2121x kx x -=--有两个不同的实数根，则实数k 的取值范围是（ ）A ．(),1-∞- B ．()1,0- C ．()0,4D ．()()0,11,4U5．已知0x >，0y >，lg 2lg8lg 2x y +=，则113x y+的最小值是（ ） A ．2 B ．2C ．4 D ．36．已知点A 与点(1,2)B 关于直线30x y ++=对称，则点A 的坐标为（ ） A ．(3,4)B ．(4,5)C ．(4,3)--D ．(5,4)--7．设椭圆()2222:10x y C a b a b+=>>的右焦点为F ，经过原点O 的直线与椭圆C 相交于点,A B ，若2,4AF BF ==，椭圆C 的离心率为73，则AFB ∆的面积是（ ）A ．5B ．25C ．23D ．3 8．下列说法正确的是 （ ）A ．命题“若21x =，则1x =”的否命题是“若21x =，则1x ≠”B ．“1x =-”是“2560x x --=”的必要不充分条件C ．命题“2,10x R x x ∃∈++<”的否定是“2,10x R x x ∀∈++<”D ．命题“若x y =，则sin sin x y =”的逆否命题是真命题。
2020届复旦大学附属中学高三英语下学期期末考试试题及参考答案
2020届复旦大学附属中学高三英语下学期期末考试试题及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AMy mother and her best friend Martha were in their mid-80s when they saw each other for the last time.They had been friends since they were 18, both of them students atWesleyanCollegeinMacon,Georgia. My mother was the dreamy one, who loved to read and dream herself as an actress. Martha, however, was more practical. I’m not sure what they had in common except that they trusted each other, helped each other, and stayed in touch even when life separated them.Martha spent most of her adulthood inAtlanta, where she raised three kids. My mother, meanwhile, raised eight children, and moved many times during her financially and emotionally troubled marriage, which included several months living with her family inseedymotels.I sensed my mother hid her troubles from most people, but not from Martha, and I knew from my mother that Martha carried her own sorrows. Their willingness to share sorrow without judgment was part of what bond them.The best friendships can also withstand (抵挡) periods without communication. They didn’t communicate a lot — this was before the ease of emails and texts and yet I knew they were always in each other’s minds.One day in 2008, 1 drove my mother to Martha’s house for their final visit. The moment my mother hobbled (蹒跚) into Martha’s house, they threw their arms around each other and went to sit out in the garden, laughing until they were dizzy. I snapped a photo, and spotted something joyous, young and free on my mom, which existed only in the presence of her best friend.Two years later, my mother died. Of all the people I had to tell, Martha was the hardest because I felt it erased her past. After that, we lost touch. But I still think of her and how that friendship strengthened my mother.1. What does the underlined word “seedy” in Paragraph 3 probably mean?A. largeB. dirtyC. urbanD. bright2. The author’s mother and Martha had a lasting friendship partly because they________.A. were willing to shareB. were constantly in touchC. had much in commonD. had a likeness in personality3. What is the author’s purpose in writing the text?A. To tell the importance of friendship.B. To express his gratitude to his mother.C. To share his standard of choosing a friend.D. To praise the friendship between Martha and his mother.BThe grocerystore might not be your favorite place to visit when you're at home, but is it ever fun when you're in another country? Honestly speaking, they're one of those strange little destinations that I like to sniff out everywhere I go, much as other travelers head toward clothing stores, libraries, coffee shops or galleries.The greatest beauty of the grocery store –– whether it's a supermarket or a tiny shop –– is that it gives you a glimpse into what local people buy to cook their own meals. This offers clues into their lifestyles and preferences, and into the agricultural and cooking practices of the country. I stare at the strange fruits and vegetables, the seafood, the cheese, the spices, the bread, and oh, the chocolate...always the chocolate!Being the environmental nerd（呆子）I am, I like paying attention to packaging, which can reflect people's attitudes towards environmental protection. Italy, for example, has a habit of requiring customers to bag their fruits and vegetables in plastic for weighing, while Sri Lanka leaveseverything loose in bins. In Brazil, everything is prepackaged in a layer of plastic.People in grocery stores tend to be friendlier. They smile, say hello, and sometimes ask questions, which can lead to great conversations. I had a further discussion with a teenaged cashier in Sri Lanka, over which bag of crunchy（松脆的）mix to buy. He insisted that the one labeled “spicy” would be too hot for me, but I told him I was willing to risk it. He laughed and we ended up talking about my favorite Sri Lankan foods for ten minutes.It's interesting then to come home and look at one's own local grocery store through new eyes. What would a visitor think? What stands out, and what do the food displays say about us as a culture? You might be surprised by what you realize.4. According to the author, what is the key benefit of visiting foreign grocery stores?A. Learning to cook foreign dishes.B. Making friends with local people.C. Buying cheaper food and souvenirs.D. Knowing local people and the country.5. What does the author show by mentioning some countries in paragraph 3?A. People's special lifestyles.B. People's shopping habits.C. People's environmental awareness.D. People's packaging methods.6. What can we infer from paragraph 4?A. Sri Lankans know a lot about food.B. Grocery stores are good social places.C. Grocery stores vary in different countries.D. Sri Lankans like to give strangers suggestions.7. Which of the following shows the structure of text? (P: paragraph)A. B.C. D.CMy sister Alice and I have been trying to get people tostop dropping cigarette（香烟）butts（烟头）for seven years. One day, we were walking in our hometown and saw hundreds of cigarette butts on the ground. They made the town look so ugly that we decided to start a group to make people dropping butts. We called it “No Butts About It”.At first, we drew pictures with “The Earth is not your ashtray（烟灰缸）”written on them. We put the pictures around our hometown—in parks, by beaches, and along roads. We wanted to make people understand that dropping butts hurts the environment. Most smokers don’t think that dropping butts hurts the Earth. But it does, and all rubbish does!Later, we wrote to companies and asked them for money to help us. We used the money to buy ashtrays to give to smokers. We wanted smokers to carry the ashtrays with them so they didn’t have to drop butts.At the moment, we are trying to get cigarette companies to put an ashtray in each pack of cigarettes. Somecompanies want to do it. Many people have started to join our group since it began. Today there are 45 other “No Butts About It” groups inAmerica.Now there even groups inEngland,Australia, andIndia! Many newspapers have written about my sister and me over the last seven years. And we have won many prizes for what we do. But we are not interested in prizes. We just want to make the Earth a better and cleaner place for animals, plants and people.One day, it will be.8. What did the writer think about the cigarette butts in the first place?A. They made the town smelly.B. They made the town unhealthy.C. They made the town dirty.D. They made the town poor.9. What does the writer do with the cigarette butts?A. Give ashtrays to the smokers.B. Stop people buying cigarettes.C. Pick up the cigarette butts.D. Win prizes for starting groups.10. From the passage we can know that _____.A. no companies wanted to give money to themB. The writer believes that the Earth will be a better and cleaner placeC. There are only 45”No Butts About It”D. The writer likes to be on newspapers and win prizes211. Which is the best tittle for the passage?A. Save our Town From Cigarette Butts.B. Buy Yourself An Ashtray.C. Cigarette Butts Also Destroy Other Countries.D. No Butts Prize.DAt the World Economic Forum last month, President Trump drew claps when he announced the United States would respond to the forum's proposal to plant one trillion(万亿) trees to fight climate change. The trillion-tree idea won wide attention last summer after a study published in the journal Science concluded thatplanting so many trees was “the most effective climate change solution to date”.If only it were true. But it isn't. Planting trees would slow down the planet's warming, but the only thing that will save us and future generations from paying a huge price in dollars, lives and damage to nature is rapid and considerable reductions in carbon release from fossil fuels, to net zero by 2050.Focusing on trees as the big solution to climate change is a dangerous diversion(偏离). Worse still, it takes attention away from those responsible for the carbon release that are pushing us toward disaster. For example, inthe Netherlands, you can pay Shell an additional 1 euro cent for each liter of regular gasoline you put in your tank, to plant trees to balance the carbon release from your driving. That's clearly no more than disaster slightly delayed. The only way to stop this planet from overheating is through political, economic, technological and social solutions that end the use of fossil fuels.There is no way that planting trees, even across a global area the size of theUnited States, can absorb the huge amounts of fossil carbon released from industrial societies. Trees do take up carbon from the atmosphere as they grow. But this uptake merely replaces carbon lost when forests were cleared in the first place, usually long ago. Regrowing forests where they once grew can undo some damage done in the past, but even a trillion trees can't store enough carbon to head off dramatic climate changes this century.In a sharp counter argument to last summer's Paper in Science, Justin Gillis wrote in the same journal in October that the study's findings were inconsistent with the dynamics of the global carbon cycle. He warned that “the claimthat global tree restoration(复原) is our most effective climate solution is simply scientifically incorrect and dangerously misleading”.12. What do we know about the trillion-tree idea?A. It was published in a journal.B. It was proposed last summer.C. It was put forward by Trump.D. It drew lots of public attention.13. What is paragraph 3 mainly about?A. A drawback of the tree planting strategy.B. An example of balancing carbon release.C. An anecdote of making a purchase at Shell.D. A responsibility for politicians and economists.14. What was Justin Gillis's attitude towards global tree restoration?A. Indifferent.B. Opposed.C. Hesitant.D. Supportive.15. What is the best title for the text?A. Contradictory Ideas on Tree Planting.B. A Trillion Trees Come to the Rescue.C. Planting Trees Won't Save the World.D. The Best Solution to Climate Change.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2019-2020学年上海复旦大学附属中学新高考化学模拟试卷含解析
2019-2020学年上海复旦大学附属中学新高考化学模拟试卷一、单选题（本题包括15个小题，每小题4分，共60分．每小题只有一个选项符合题意）1．X、Y、Z、W为短周期主族元素，它们的最高正化合价和原子半径如下表所示：元素X Y Z W最高正化合价+3 +1 +5 +7原子半径0.082 0.186 0.110 0.099则下列说法错误的是A．X的最高价氧化物对应的水化物具有两性B．ZW3分子中所有原子最外层均满足8e－结构C．Y的一种氧化物可用作供氧剂，Z的一种氧化物可用作干燥剂D．简单气态氢化物的热稳定性：W>Z>X【答案】A【解析】【分析】根据X、Y、Z、W为短周期主族元素，联系最高正化合价，X可与为B元素或者Al元素，Y为Li元素或Na元素，Z为N元素或P元素，W为Cl元素，又原子半径：Y>Z>Cl>X，则X为B元素，Y为Na元素，Z 为P元素，据此分析回答问题。
【详解】A．B的最高价氧化物对应的水化物H2BO3是弱酸，不具有两性，A选项错误；B．PCl3的电子式为，所有原子最外层均满足8e－结构，B选项正确；C．Na的氧化物Na2O2可作供氧剂，P的氧化物P2O5是酸性干燥剂，C选项正确；D．非金属性越强，简单气态氢化物的热稳定性越强，非金属性Cl>P>B，则热稳定性：HCl>PH3>BH3，D选项正确；答案选A。
2．下列反应既属于氧化还原反应，又是吸热反应的是（）A．灼热的炭与CO2的反应B．Ba(OH)2·8H2O 与NH4Cl 的反应C．镁条与稀盐酸的反应D．氢气在氧气中的燃烧反应【答案】A【解析】A、灼热的炭与CO2 的反应生成CO，是氧化还原反应也是吸热反应，故A正确；B、Ba(OH)2·8H2O 与NH4Cl 的反应不是氧化还原反应，故B错误；C、镁条与稀盐酸的反应是放热反应，故C错误；D、氢气在氧气中的燃烧反应是放热反应，故D错误；故选A。
2020届复旦大学附属中学高三英语下学期期中考试试卷及答案
2020届复旦大学附属中学高三英语下学期期中考试试卷及答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项ABird migration is described as the regular, seasonal movement of bird populations from one place to another and back again.The longer days and rich food of the northern summer provide greater chances for birds to feed their young. The longer daylight hours and enormous food resources allow birds to lay larger eggs than those of related non-migratory species that remain in the tropics all year round. As the days shorten in autumn and the breeding period is over, the birds return to warmer regions where the available food supply differs little with the seasons changing. The advantages of migration make up for the high stress, physical exertion（消耗）, and other risks of the migration.Day length is the primary environmental factor that encourages birds to prepare for migration. They have an increased appetite which results in weight gaining, giving them the fat reserves that provide energy for their migratory flight. They also show more activity at night, which is when most birds migrate. While the length of day is the primary reason for migration, birds also respond to temperature changes. For example, if a spring is late and the temperature is lower than normal, birds delay migration; if a spring is early, birds also begin migration early.The timing of the migratory cycle must allow birds to arrive on the breeding site so that there is time tobuild a breeding place, mate, lay the eggs, and hatch the young before the rich food is available to feed the young in the nest. Similarly, if birds wait until the climate in their northern breeding grounds becomes tolerable(可忍受的), there will be no time togain the necessary weight that provides the energy needed for their southbound migration.1. Why do birds migrate to the north in spring?A The temperature in the south has risen.B. They like traveling and enjoy the journey.C. The summer there is warmer than that in the south.D. The environment there is more suitable for them to feed their baby birds.2. What are the two factors that cause birds to migrate?A. Day length and food supply.B. Night length and high stress.C. Temperature changes and daylength.D. Food supply and temperature changes.3. Which can be the best title for the text?A. Birds' LifeB. Birds' MigrationC. Birds' Breeding HabitsD. Birds' Living EnvironmentBIn Copenhagen, an 8-year dream was realized when the first paid skiers took their runs down a one-third-mile course (路线)．They skied on what is possibly the greenestpower factory in the world．The factory is so clean and safe that designers were able to turn its buildings into a new center for social life．The waste-to-power factory itself opened in 2017 under the name Amager Bakke．Bjarke Ingels is the architect whosecompany came up with the idea eight years ago of designing a power plant building that would join mountain sports into its very nature．“It is the cleanest waste-to-energy power plant in the world．It is not only better for the environment, it is also moreenjoyable for the lives of its citizens.” Ingels says 97% of city people get their heating as a by-product of energy production．It comes from a system where the electricity, heating, and waste disposal (处理) are mixed into a single process．He dreams that it is also becoming an example that others can look to and say, “IfCopenhagencan do it why can' t we?"There are no hills in this island city, but now people can ski locally, while enjoying the best views ever seen of the harbor．Another thing missing hereis snow cover throughout the winter, so designers set up a kind of special "plastic grass" that provides the perfect friction (摩擦力) for downhill winter sports．In a country where 600, 000 skiers always had to travel to practice sking, to be able to finally ski in their backyard-and, all year round - is, as one skier said, “AMAZING．”The company hopes to see 300, 000 visitors enjoying the experience of Copen hill each year, with the ski slope costing $ 22 an hour or just $ 366 for a full season pass．Meanwhile, the city is one step closer to its final goal of becoming the world's first carbon-neutral city by 2025．We thinkit might be all “down hill” from here．4. How does the power factory produce electricity?A. By using oil．B. By using coal．C. By usingwind．D. By using waste．5. What' s Ingels' dream according to the passage?A. To make more tall buildings in different big cities．B. To help more skiers to ski in high mountains．C. There will be more green power factories in the world．D. More and more people will ski in the power factory．6. Where do the skiers ski in the power factory?A. On man-made snow．B. On man-made ice．C. On plastic grass．D. On real sand．7. The underlined part “it might be all 'downhill' from here" means that________.A. they will soon reach their final goalB. they will soon draw many visitorsC. they will produce more electricityD. they have difficulties reaching the goalCAdvertisers tend to think big and perhaps this is why they're always coming in for criticism. Their critics(批评家)seem to hate them because they have so much money to throw around. Why don’t they stop advertising and reduce the price of their goods? After all, it’s the consumer who pays.The poor old consumer! He'd have to pay a great deal more if advertising didn't create mass markets for products. It is precisely because of the heavy advertising that consumer goods are so cheap. But we get the wrong idea if we think the only purpose of advertising is to sell goods. Another equally important function is to inform. A great deal of the knowledge we have about household goods is largely from the advertisements we read. Advertisements introduce us to new products or remind us of the existence of ones we already know about. Supposing you wanted to buy a washing machine, it is more than likely you would obtain details regarding performance, price, etc., from an advertisement.Lots of people pretend that they never read advertisements, but this claim may be seriously doubted. It is hardly possible not to read advertisements these days. And what fun they often are, too! Just think what a railway station or a newspaper would be like without advertisements. Would you enjoy gazing at a blank wall or reading railway byelaws while waiting for a train? A cheerful, witty advertisement makes such a difference to a dull wall or a newspaper full of the incidents and disasters.We must not forget, either, that advertising makes a positive contribution to our pockets. The fact that wepay so little for our daily paper, or can enjoy so many broadcast programmers is due entirely to the money spent by advertisers. Just think what a newspaper would cost if we had to pay its full price!Another thing we mustn't forget is the “small ads.” What a tremendously useful service they perform for the community! Just about anything can be accomplished through these columns. For instance, you can find a job, buy or sell a house, announce a birth, marriage or death in what used to be called the “hatch, match and dispatch” column(栏目) but by far the most fascinating section is the personal or “agony” column. No other item in a newspaper provides such entertaining reading or offers such a deep insight into human nature. It's the best advertisement for advertising there is!8. What is the main idea of this passage?A. Advertisements steal money from our pocketsB. The critics get the wrong idea of advertisements.C. Advertisers perform a useful service to communities.D. Advertisements are everywhere.9. What is the attitude of the author toward advertisements?A. He appreciates the role of advertisements.B. He doubts the effect of advertisements.C. He believes what is said in advertisements.D. He complains too many advertisements in daily life.10. Which of the following is Not True?A. The personal or “agony” column makes us know more about human nature.B. The only purpose of advertising is to sell goods.C. A newspaper will cost us more if there is no advertisement on it.D. Advertisement makes our life color1 ful.11. Whicof the following shows the structure of the passage?( ①=" Paragraph" 1, ②=" paragraph" 2, ③=" paragraph" 3, ④=" paragraph" 4 ⑤=" paragraph" 5)A B.C. D.DFor years, life went something like this: We’d grow up in one place, head off to college, and then find a city to get a job and live there for a few years. The final goal was to find somewhere to settle down, buy a house, start a family, and begin the whole cycle all over again. But now some people are increasingly choosing to move from city to city throughout their entire lives, sometimes as frequently as every month.Just ask Alex Chatzieleftheriou, who has had a front-row seat watching this evolution unfold. Six years ago, he launched a startup called Blueground that rents out beautifully designed, fully furnished apartments for a month at a time, at rates that are cheaper than hotels. And it aims to make each one feel unique and comfortable,rather than standardized, like what you might find in a traditional hotel.Today, the company has 3,000 properties(房地产) in six U.S. cities, along with Dubai, Istanbul, London, Paris, and Chatzieleftheriou’s native Athens, and a staff of 400. With the helpof the Series B round of funding, the company landed $ 50 million, plus its previous total of $ 28 million, to continue its rapid expansion. It hopes to have 50,000 properties in 50 cities over the next three years.Chatzieleftheriou first came up with the idea for Blueground while he was working as a management consultant for McKinsey. “The accommodation of choice for consultants is the hotel,” he says. “I had to spend five years in hotel rooms, living in 12 different cities. I loved seeing the world, but I didn’t love feeling like I didn’t have a home.” And what’s more, hotels aren’t a particularly cost-effective solution for companies either. In Chatzieleftheriou’s case, McKinsey sometimes paid $ 10,000 or more for him to stay in a major city for a month.12. What does the author intend to tell in the first paragraph?A. A new lifestyle is appearing.B. Life is just like a circle for people.C. Most people are used to an easy life.D. People live in different places in life.13. What is the goal of Blueground?A. To compete with hotels.B. To create standardized hotels.C. To make renters feel at home.D. To rent out long-term apartments.14. What do we know about Blueground?A. It got a total investment of $ 78 million.B. Its business is anything but satisfying.C. It expanded to every corner of the world.D. It has 50,000 properties in 50 cities.15. What does the last paragraph focus on?A. High costs of hotels.B. Chatzieleftheriou’s former work.C Strengths of Blueground.D. The inspiration for Blueground.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
《加15套高考模拟卷》上海市复旦大学附属中学-浦分2020届高三下学期开学测试卷含解析
上海市复旦大学附属中学-浦分2020届高三下学期开学测试卷一、单项选择题：本题共6小题，每小题4分，共24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、某同学用两种不同的金属做光电效应实验。
实验中他逐渐增大入射光的频率，并测出光电子的最大初动能。
下面四幅图像中能符合实验结果的是（）A．B．C．D．OO沿逆时针方向匀速转动，从图2、图甲是小型交流发电机的示意图，线圈绕垂直于匀强磁场的水平轴'示位置开始计时，产生的交变电流随时间变化的图像如图乙所示，以下判断正确的是（）A．交流电的频率是100HzB．0.02s时线圈平面与磁场方向平行C．0.02s时穿过线圈的磁通量最大D．电流表的示数为20A3、下列说法中正确的是（）A．物体的温度升高时，其内部每个分子热运动的动能一定增大B．气体压强的产生是大量气体分子对器壁持续频繁的碰撞引起的C．物体的机械能增大，其内部每个分子的动能一定增大D．分子间距离减小，分子间的引力和斥力一定减小4、在水平地面上O点正上方不同高度的A、B两点分别水平抛出一小球，不计空气阻力，如果两小球均落在同一点C上，则两小球（）A ．抛出时的速度大小可能相等B ．落地时的速度大小可能相等C ．落地时的速度方向可能相同D ．在空中运动的时间可能相同5、图甲为一列简谐横波在t=0时刻的波形图，图甲中质点Q 运动到负向最大位移处时，质点P 刚好经过平衡位置。
图乙为质点P 从此时刻开始的振动图像。
下列判断正确的是（ ）A ．该波的波速为40m/sB ．质点P 的振幅为0C ．该波沿x 轴负方向传播D ．Q 质点在0.1s 时的速度最大6、在某一次中国女排击败对手夺得女排世界杯冠军的比赛中，一个球员在球网中心正前方距离球网d 处高高跃起，将排球扣到对方场地的左上角（图中P 点），球员拍球点比网高出h （拍球点未画出），排球场半场的宽与长都为s ，球网高为H ，排球做平抛运动（排球可看成质点，忽略空气阻力），下列选项中错误的是（ ）A ．排球的水平位移大小22())2s x d s =++（ B ．排球初速度的大小220()()2s g d s v H h⎡⎤++⎢⎥⎣⎦=+C ．排球落地时竖直方向的速度大小2()y v g H h =+D ．排球末速度的方向与地面夹角的正切值22tan ()()2s d s θ=++ 二、多项选择题：本题共4小题，每小题5分，共20分。
2020年上海市复旦大学附中高考化学模拟试卷(一) (含解析)
2020年上海市复旦大学附中高考化学模拟试卷（一）一、单选题（本大题共25小题，共50.0分）1.下列说法正确的是()A. 原子最外层电子数等于或大于3(小于8)的元素一定是非金属元素B. 原子最外层只有1个电子的元素一定是金属元素C. 最外层电子数比次外层电子数多的元素一定位于第二周期D. 某元素的离子最外层电子数与次外层电子数相同，该元素一定位于第三周期2.下列不属于有机物的是()A. 甲烷B. 二氧化碳C. 乙醇D. 醋酸3.反应8NH3+3Cl2=6NH4Cl+N2可用于氯气管道的检漏。
下列表示相关微粒的化学用语正确的是()A. 中子数为9的氮原子： 79NB. N2分子的电子式：C. Cl2分子的结构式：Cl−ClD. Cl−的结构示意图：4.下列有机物的系统命名正确的是()A. 2−甲基−3−乙基丁烷B. 2−甲基−4−戊烯C. 2−甲基−3−丁醇D. 1，4−二甲苯5.下列物质的保存方法不正确的是()A. 新制氯水应密封保存B. 盛液溴的试剂瓶常加少量水C. 少量的金属钠应保存在煤油中D. 固态碘放在棕色细口瓶中6.下列表示的是丙基的是()A. CH3CH2CH3B. CH3CH2CH2−C. −CH2CH2CH2−D. (CH3)2CH−7.下列有关说法不正确的是()A. 和是同一物质B. 1866年凯库勒提出了苯的单、双键交替的正六边形平面结构，解释了苯的部分性质，但它不能解释的事实是邻二溴苯只有一种．C. 某有机物化学式为C3H6O2，其核磁共振氢谱有三个峰，其强度比为3：2：1，则该有机物的结构简式一定是CH3CH2COOHD. 在分子中一定共面的碳原子最多为9个，可能共面的碳原子最多为12个8.下列说法不正确的是()A. 石油是由烃组成的混合物B. ①主要发生物理变化C. ②是石油的裂化、裂解D. ③属于取代反应9.某有机物的结构简式如下，下列关于该有机物的说法中错误的是()A. 分子式为C14H18O6B. 含有羟基、羧基和苯基C. 能发生取代反应D. 能使溴的水溶液褪色10.下列变化，是通过取代反应来实现的是()A. CH3CH2OH→CH3CHOB. C2H4→C2H4Br2C. D. CH3CH2OH→CH2=CH211.鉴别甲苯、己烯、苯酚溶液，可选用的试剂是()A. KMnO4溶液B. NaOH溶液C. 溴水D. FeCl3溶液12.某炔烃与氢气完全加成后得到该炔烃可能有的结构简式为()A. 1种B. 2种C. 3种D. 4种13.某烃的组成为C15H24，分子结构非常对称，实验证明该烃中仅存在三种基团：乙烯基(CH2=CH−)、亚甲基(−CH2−)和次甲基，并且乙烯基和次甲基之间必须通过亚甲基相连。
2020年复旦大学附属中学高三英语下学期期末考试试题及参考答案
2020年复旦大学附属中学高三英语下学期期末考试试题及参考答案第一部分阅读（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的A、B、C、D四个选项中选出最佳选项AThis is a list of places to spend the 2020 Olympics if you aren't going to Japan.AustraliaThe fact that the summer Olympics fall during Australia's winter season is worth keeping in mind for two reasons: it makes traveling there cheaper, and it's still not too cold. As far as the Olympics are concerned, there will be no shortage of opportunities to watch the Games in between your various explorations of the country and its limitless activities.ThailandThailand is a breathtaking place 10 spend some time during any summer, and provides a perfect setting for Olympie viewing: You can go scuba diving one morning before watching sports all afternoon, or simply duck out for world-famous street food in between events. But Thai sports fans may also be taking extra interest in the Olympics these days.United StatesThe U.S. is likely to be as interested in the Olympics as any other nation, given is collection of athletes who will be taking center stage. You can rest assured it won't be difficult to watch the Games no matter where you're visiting specifically. This leaves you with all sorts of fun options. You can visit a luxury ski resort town like Aspen, which turns into a gorgeous hiking destination in the summer.Great BritainNot unlike the U, s. Britain will make for a fun place to spend the 2020 Olympics because there's a great deal of national interest in a number of different sports, and the local athletes are expected to be competitive. Summer can also be a good time to be in Britain in general," with ly mild temperatures allowing for full exploration of the country. That means you can stay in the beautiful Lake District if you like, hiking or kayaking when you're not watching the Games.1.What is special about Australia as a destination in an Olympic summer?A.Its season.B.Its activities.C.Its sports.D.Its scenery,2.Which country can you go to if you are a street food lover?A.Australia.B.Thailand.C.United States.D.Great Britain.3.What do the U. S. and Britain have in common as fun places to spend the 2020 Olympics?A.They both have a pleasant temperature.B.They are both interested in the Games.CThey both own lots of sports centers. D.They are both English-speaking countries.BJake Oldershaw and his daughter Mollie from Birmingham, Britain have asthma (哮喘). Mollie, 11, has required hospital treatment several times while Jake Says he always finds breathing more difficult when there is heavy traffic. Air quality has an enormous impact on their lives and both noticed a marked improvement during the spring lockdown because of the epidemic (疫情). Jake said, “During lockdown there was a noticeable difference in air quality. I didn't suffer any asthmatic attacks during that period. These days you can feel the effects.”However, under current COVID-19 restrictions in the UK this winter, many people probably will have to work from home. The Energy and Climate Intelligence Unit (ECIU) says while emissions (排放) have dropped this year because we've been travelling less and doing less, the expected use ofgas boilers to provide heating and hot water could rise by more than half.Heating accounts for nearly 37% of the UK's total carbon emissions. Modelling by the ECIU suggests a 56% increase in boiler usage this winter resulting in a 12% increase in emissions of carbon. The ECIU says that's enough to offset the last two years' worth of progress on reducing traffic emissions.Jess Ralston, author of the analysis for the ECIU, said, “Working from home and having increased gas use in the home could be really critical for air pollution and also climate change. The way we heat our homes needs to change if we are to get to net zero by 2050.”Jess Ralston said, “The increase in pollution from gas boilers expected this winter provides a graphic illustration (图解) of their forgotten role in air pollution. And it is a role set to continue without practical policies to decarbonize home heating. ”The government is set to publish its Heat and Buildings Decarbonisation Strategy in a few weeks which is expected to give details on plans to try to switch British homes to cleaner sources of heat.4. How did the spring lockdown in the UK affect Jake?A. He was cured of his asthma.B. He had to go to hospital for retreatment.C. He suffered a noticeable difficulty in study.D. He didn't suffer any asthmatic attacks during that period.5. What is concerning the Energy and Climate Intelligence Unit?A. The epidemic will become worse.B. Air pollution will get worse this winter.C. People may have to work from home longer.D. There is less energy for gas boilers in winter.6. What would Jess Ralston agree with?A. People prefer to work from home in winter.B. The government failed to protect the environment.C. People tend to ignore the harmful effect of home heating.D. The climate has suffered a lot from the epidemic this year.7. How to improve air quality during winter according to Jess Ralston?A. A warmer winter season.B. Less and less gas boilers.C. Practical plans from the government.D. Improved awareness of cutting down pollution.COn the night of September 19, 1961, Betty Hill and her husband Barney were driving home through the White Mountains from Niagara Falls. They were travelling on anearly deserted two-lane highway when Betty noticed a steady light in the sky that was getting bigger and brighter.She thought it was a planet or a star. Barney, stimulated at her excitement, said it was probably just a wandering aeroplane. Whatever it was, it appeared to be following them.They stopped their car for a closer look. What they said happened next, changed their lives. The flying object was noiseless. It appeared to be spinning. It was as big as a jet but shaped like a pancake.So formed the tale of Betty Hill, a New Hampshire social worker who, with Barney, a postal worker, claimed to be kidnapped by aliens, who were from outer space, on a moonlit night about 60 years ago.After reluctantly going public with her experience, Hill, who died of cancer at her New Hampshire home, aged 85, became a celebrity on the UFO circuit and was known as the “first lady of UFOs”.Intriguingly, at the time of the incident, the Hills remembered nothing except that they had spied a strange object in the sky. Later, troubled by nightmares and other stress-related pains, the couple underwenthypnosis(催眠) where the full story came out with the aid of Boston psychiatrist Benjamin Simon, an expert in medical hypnosis.On their night of contact the Hills arrived homeat 5 a.m., unable to account for two lost hours. They were also confused by the odd marks on their telescopes, deep signs on the tops of Barney’s best shoes, Betty’s torn dress and strange circular markings on their car that made the needle of a compass jump wildly.After seeing them for six months, the psychiatrist concluded the Hills’ lost memory about the hours they lost on that night in 1961 “appeared to involve an amazing experience on the part of both of the Hills”. Whether the experience had been fantasy or reality, Simon could not say, but he said he was convinced they had not been lying. He guessed that it had been a kind of shared dream.Reports of aliens capturing humans and taking them aboard oddly shaped spacecraft were “comparatively rare” before 1975. After a movie, “The UFO Incident”, about the Hills came out, however, such stories increased.8. When they saw the strange object in the sky, Barney and Betty Hill ______________.A. were astonished at its strange flight and noiseB. regarded it as just a wandering car following themC. realized immediately what the danger it might causeD. showed curiosity in discovering what it really was9. The word “Intriguingly” in paragraph 6 most probably means “______________”.A. RidiculouslyB. TemporarilyC. RemarkablyD. Mysteriously10. The Hills later sought the help of a psychiatrist because ______________.A. they had lots of secrets in their lives after the strange experienceB. their lives were greatly disturbed by the unexpected experienceC. they wanted to share their unforgettable experience with the expertD. they hoped to forget completely what had happened to them11. This article was written in order to ______________.A. describe an unusual event to the readersB. convince readers of the existence of UFOsC. record how people were caught by aliensD. warn people of the dangers the UFOs causeDA lot of us lose life’s tough battles by starting a frontal attack—when a touch of humor might well enable usto win．Consider the case of a young friend of mine，who hita traffic jam on his way to work shortly after receiving an ultimatum about beinglate on the job．Although there was a good reason for Sam’s a being late—serious illness at home—he decided that this by-now-familiar excuse wouldn’t work any longer．His supervisor was probably already pacing up and down preparing a dismissal speech．Yes，the boss was．Sam entered the office at 9：35．The place was as quiet as a locker room；everyone was hard at work．Sam’s supervisor came up to him．Suddenly，Sam forced a grin and stretched out his hand．“How do you do！” he said．“I’m Sam Maynard．I’m applying for a job，which，I understand，became available just 35 minutes ago．Does the early bird get the worm？”The room exploded in laughter．The supervisor“clamped off”a smile and walked back to his office．Sam Maynard had saved his job—with the only tool that could win，a laugh．Humor is a most effective，yet frequently neglected，means of handling the difficult situations in our lives．It can be used for patching up differences，apologizing，saying “no”，criticizing，getting the other fellow to do what you want without his losingface．For some jobs，it’s the only tool that can succeed．It is a way to discuss subjects so sensitive that serious dialog may start a quarrel．For example，many believe that comedians on television are doing more today for racial and religious tolerancethan people in any other forum．12. Why was Sam late for his job？A. Because he was ill．B. Because he got up late．C. Because he was caught in a traffic jam．D. He was busy applying for a new job．13. The main idea of this passage is ________．A. Sam Maynard saved his job with humorB. humor is important in our livesC. early bird gets the wormD. humor can solve racial discriminations14. The phrase “clamped off” in Paragraph 3 means ________．A tried to hold back B. tried to setC. chargedD. gave out15. Which of the following statements can we infer from the passage？A. Many lose life’s battles for they are lacking in a sense of humor．B. It wasn’t the first time that Sam came late for his work．C. Sam was supposed to come to his office at 8：30．D. Humor is the most effective way of solving problems．第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
上海市复旦大学附属中学2020 届高三下学期第一次月考物理试题含解析〖附15套高考模拟卷〗
上海市复旦大学附属中学2020 届高三下学期第一次月考物理试题一、单项选择题：本题共6小题，每小题4分，共24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、下列说法正确的是（ ）A ．做匀速圆周运动的物体，转动一周，由于初末位置速度相同，故其合力冲量为零B ．做曲线运动的物体，任意两段相等时间内速度变化一定不相同C ．一对作用力和反作用力做的功一定大小相等，并且一个力做正功另一个力做负功D ．在磁场中，运动电荷所受洛伦兹力为零的点，磁感应强度B 也一定为零2、如图所示，在竖直平面内一根不可伸长的柔软轻绳通过光滑的轻质滑轮悬挂一重物。
轻绳一端固定在墙壁上的A 点，另一端从墙壁上的B 点先沿着墙壁缓慢移到C 点，后由C 点缓慢移到D 点，不计一切摩擦，且墙壁BC 段竖直，CD 段水平，在此过程中关于轻绳的拉力F 的变化情况，下列说法正确的是（ ）A ．F 一直减小B ．F 一直增小C ．F 先增大后减小D ．F 先不变后增大3、如图所示，小球被轻绳系住，静止在光滑斜面上．若按力的实际作用效果来分解小球受到的重力G ，则G 的两个分力的方向分别是图中的( )A ．1和2B ．1和3C ．2和3D ．1和44、在如图所示的电路中，理想变压器的原、副线圈的匝数比为12:3:1n n =，电阻122R R =，电流表和电压表均为理想交流电表，若电流表的示数为2A ，电压表的示数为30V ，则电阻1R 的阻值为（ ）A ．45ΩB ．55ΩC ．65ΩD ．75Ω5、某理想变压器原、副线圈的匝数之比为10:1，当输入电压增加20V 时，输出电压（ ） A ．增加200V B ．增加2V C ．降低200V D ．降低2V6、甲、乙两列完全相同的横波分别从波源A 、B 两点沿x 轴相向传播，0t =时的波形图像如图所示，若两列波的波速都是1m/s ，下列说法正确的是（ ）A ．甲乙两列波的频率都是4HzB ．1s t =时，甲乙两波相遇C ．3s t =时，6m x =处质点的位移为负方向最大D ．0s t =时，2m x =处质点与10m x =处质点的振动方向相反二、多项选择题：本题共4小题，每小题5分，共20分。
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【全国百强校】上海市复旦大学附属中学2020届高三下学期第一次综合测试数学试题一、选择题：本题共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．下列命题中正确的是（ ）A ．若p q ∨为真命题，则p q ∧为真命题B ．“ab 0>”是“b a2a b+≥”的充要条件 C ．命题“2x 3x 20-+=，则x 1=或x 2=”的逆否命题为“若x 1≠或x 2≠，则2x 3x 20-+≠”D ．命题p ：x R ∃∈，使得2x x 10+-<，则p ⌝：x ∀∈R ，使得2x x 10+->2．已知数列{}n a 的奇数项依次成等差数列，偶数项依次成等比数列，且11a =，22a =，347a a +=，5613a a +=，则78a a +=（ ）A ．42+B ．19C ．20D ．233．执行如图所示的程序框图，若输入x 8=，则输出的y 值为（ ）A ．34-B ．12C ．52D ．34．已知是定义在上的奇函数，且对任意的，都有.当时，，则（ ） A ．B ．C ．0D ．15．设342334333log ,,224a b c ⎛⎫⎛⎫⎛⎫===⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭，则,,a b c 的大小关系为（ ）A ．a b c >>B ．b c a >>C ．c a b >>D ．a c b >>6．22221231111,,,xS x dx S dx S e dx x ===⎰⎰⎰若 ，则s 1,s 2,s 3的大小关系为（ ）A ．s 1＜s 2＜s 3B ．s 2＜s 1＜s 3C ．s 2＜s 3＜s 1D ．s 3＜s 2＜s 17．直线():40l kx y k R ++=∈是圆22:4460C x y x y ++-+=的一条对称轴，过点()0,A k 作斜率为1的直线m ，则直线m 被圆C 所截得的弦长为 （ ）A．2 BCD．8．已知函数()37sin f x x x x =--+，若()()220f af a +->，则实数a 的取值范围是A ．(),1-∞B ．(),3-∞ C ．()1,2-D ．()2,1-9．设,,a b c 为正数，则“a b c +>”是“222a b c +>”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10．已知P ，A ，B ，C ，D 是球O 的球面上的五个点，四边形ABCD 为梯形，//AD BC ，2AB DC AD ===，4BC PA ==，PA ⊥面ABCD ，则球O 的体积为（ ）A．B． C． D ．16π 11．已知1F ，2F 是双曲线E ：22221(0,0)x y a b a b -=>>的左、右焦点，点M 在E 上，1MF 与x 轴垂直，211sin 4MF F ∠=，则双曲线E 的离心率为( ) A．3B ．53 C ．2D ．312．在ABC ∆中，,,a b c 分别为内角,,A B C 的对边，若2sin sin sin B A C =+，3cos 5B =，且6ABC S ∆=，则b =（ ）A ．2B ．3C ．4D ．5二、填空题：本题共4小题，每小题5分，共20分。
13．设1F ，2F 分别为双曲线()222210,0x y a b a b -=>>的左、右焦点，P 是双曲线的右支上的点，满足212PF F F =，且原点O 到直线1PF 的距离等于双曲线的实半轴长，则该双曲线的离心率为__________．14．如图，四边形ABCD 中，4AB =，5BC =，3CD =，90ABC ∠=︒，120BCD ∠=︒，则AD 的长为______15．已知x，y满足约束条件202401x yx yx-≤⎧⎪+-≤⎨⎪≥⎩，则z x y=+的最小值为__________．16．在△ABC中，角A，B，C所对的边分别是a，b，c，且cos cos sinA B C a b c+=，若22285b c a bc+-=，则tanB=_______.三、解答题：共70分。
解答应写出文字说明、证明过程或演算步骤。
17．（12分）已知,,a b c分别是ABC∆的三个内角,,A B C的对边，若10a=，角B是最小的内角，且34sin3cosc a B b A=+．求sin B的值；若ABC∆的面积为42，求b的值．18．（12分）如图，在四棱锥P ABCD-中，BCD∆为等边三角形，23BD=，2PA=，AB AD PB PD===，120BAD∠=o.若点E为PC的中点，求证://BE平面PAD；求四棱锥P ABCD-的体积. 19．（12分）已知数列{}na，12a=，26a=，且满足1121n nna aa+-+=+（2n≥且*n N∈）求证：{}1n na a+-为等差数列；令()10112nnnba+=-，设数列{}nb的前n项和为nS，求{}2n nS S-的最大值.20．（12分）如图，直三棱柱111ABC A B C-中，12AB AC AA===，22BC=，D，E分别是BC，1CC的中点．()1证明：平面1ADB ⊥平面ADE ； ()2求三棱锥1D AB E -的高．21．（12分）选修4-5：不等式选讲 已知函数()1|1|f x x x =-++.求()3f x ≥的解集；记函数()f x 的最小值为M ，若0a >，0b >，且2a b M +=，求12a b +的最小值.22．（10分）已知0a >，0b >，0c >.若函数()f x x a x b c=++-+的最小值为2.求a b c ++的值；证明：11194a b b c c a ++≥+++.参考答案一、选择题：本题共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．B 2．D 3．B 4．C 5．B 6．B 7．C 8．D 9．B 10．A 11．A 12．C二、填空题：本题共4小题，每小题5分，共20分。
13．531415．3216．-3三、解答题：共70分。
解答应写出文字说明、证明过程或演算步骤。
17． (Ⅰ) 3sin 5B =;(Ⅱ) b =【解析】 【分析】(Ⅰ)由正弦定理，三角形内角和定理可得()3sin 4sin sin 3sin cos A B A B B A +=+，结合sin 0A >，整理可得3cos 4sin B B =，又sin 0B >，利用同角三角函数基本关系式可求sin B 的值．(Ⅱ)由(Ⅰ)及三角形的面积公式可求c 的值，利用同角三角函数基本关系式可求cos B 的值，根据余弦定理可求b 的值． 【详解】(Ⅰ) 由34sin 3cos c a B b A =+、A B C π++=，及正弦定理可得：()3sin 4sin sin 3sin cos A B A B B A +=+，由于sin 0A >，整理可得：3cos 4sin B B =， 又sin 0B >，因此得：3sin 5B =． (Ⅱ)由(Ⅰ)知3sin 5B =，又ABC V 的面积为42，且10a =， 从而有13104225c ⨯⨯=，解得14c =， 又角B 是最小的内角，所以03B π<≤，且3sin 5B =，得4cos 5B =，由余弦定理得2224141021410725b =+-⨯⨯⨯=，即b =．【点睛】本题主要考查了正弦定理，三角形内角和定理，同角三角函数基本关系式，三角形的面积公式，余弦定理在解三角形中的综合应用，考查了计算能力和转化思想。
18． (Ⅰ)详见解析(Ⅱ) 【解析】 【分析】(Ⅰ)取CD 的中点为M ，连结EM ，BM ,先利用线面平行的判定定理可证明BM ∥平面PAD 、EM ∥平面PAD ，从而可得平面BEM ∥平面PAD ，进而可得结果；(Ⅱ)连结AC 交BD 于O ，连结PO ，先证明PO OA ⊥，结合PO BD ⊥，可得PO ⊥平面ABD ，即四棱锥P ABCD -的高为=1PO ，利用棱锥的体积公式可得结果. 【详解】(Ⅰ)取CD 的中点为M ，连结EM ，BM .∵BCD ∆为等边三角形，∴BM CD ⊥. ∵120BAD ∠=o ，AD AB =， ∴30ADB ∠=o ，∴AD CD ⊥，∴//BM AD .又∵BM ⊄平面PAD ，AD ⊂平面PAD ， ∴BM ∥平面PAD .∵E 为PC 的中点，M 为CD 的中点，∴EM ∥PD . 又∵EM ⊄平面PAD ，PD ⊂平面PAD ， ∴EM ∥平面PAD . ∵，∴平面∥平面.又∵平面，∴∥平面.(Ⅱ)连结交于，连结.∵， ∴.为的中点.又∵，，，∴.又∵，∴，∴.又∵，∴⊥平面，即四棱锥的高为， ∴四棱锥的体积.【点睛】本题主要考查线面平行的判定定理、面面平行的判定与性质以及三棱锥体积，属于中档题.证明线面平行的常用方法：①利用线面平行的判定定理，使用这个定理的关键是设法在平面内找到一条与已知直线平行的直线，可利用几何体的特征，合理利用中位线定理、线面平行的性质或者构造平行四边形、寻找比例式证明两直线平行.②利用面面平行的性质，即两平面平行，在其中一平面内的直线平行于另一平面. 19．（1）见解析；（2）42296S S --. 【解析】 【分析】(1)将式子变形得到()()112n n n n a a a a +----=，故得到数列{}1n n a a +-是公差为2的等差数列；（2）通过第一问的结论，以及累加法的应用得到()1n a n n =+，代入表达式得到n b ，设2n n n M S S =-，()()110121222n n M M n n +-=-++，将此式和0比即可得到最大项.【详解】（1）1122n n n a a a +-+=+，则()()112n n n n a a a a +----=. 所以{}1n n a a +-是公差为2的等差数列.（2）()()()()121112242212n n n n n n a a a a a a n n n L L ，-+≥=-++-+=+++=⋅=+.当11,2n a ==满足. 则()1n a n n =+.()()1011101!22n n b n n n +=-=-+ ∴1110122n n S n ⎛⎫=+++- ⎪⎝⎭L ， ∴211111*********n n S n n n n ⎛⎫=+++++++- ⎪++⎝⎭L L ， 设2111101222n n n n M S S n n n ⎛⎫=-=+++-⎪++⎝⎭L ， ∴121111111023221222n n n n M S S n n n n n ++⎛⎫=-=+++++-⎪++++⎝⎭L ， ∴()()1111111110110102122122122221222n n M M n n n n n n n +⎛⎫⎛⎫-=+--=--=-⎪ ⎪+++++++⎝⎭⎝⎭， ∴当1n =时，11010342n n M M +-=->⨯， 即12M M <，当2n ≥时，10n n M M +-<， 即234M M M >>>L ，∴()2max 1129101346n M M ⎛⎫==⨯+-= ⎪⎝⎭， 则{}2n n S S -的最大值为42296S S -- 【点睛】数列最值的求解方法如下：1．邻项比较法，求数列{}n a 的最大值，可通过解不等式组11{n n nn a a a a +-≥≥()2,n n Z ≥∈求得n 的取值范围；求数列{}n a 的最小值，可通过解不等式组11{n n n n a a a a +-≤≤ ()2,n n Z ≥∈求得n 的取值范围；2．数形结合，数列是一特殊的函数，分析通项公式na 对应函数()y f x =的特点，借助函数()y f x =的图像即可求解；3．单调性法，数列作为特殊的函数，可通过函数的单调性研究数列的单调性，必须注意的是数列对应的是孤立的点，这与连续函数的单调性有所不同；也可以通过1n na a +-差值的正负确定数列{}n a 的单调性．20． (1)见解析；（2）1h =. 【解析】分析：（1）要证明平面1ADB ⊥平面ADE ，利用平面与平面垂直的判定定理，在其中一个平面内找一条直线与另一个平面垂直。