2020年2020届四川省成都市实验外国语学校2017级高三高考模拟考试(三)理科数学试卷无答案
2020届成都市实验外国语学校高三英语三模试卷及参考答案
2020届成都市实验外国语学校高三英语三模试卷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AFine art fairs（艺术博览会）are the trend of the 21st century, with new art and antique（古玩）fairs and festivals springing up in diverse parts of the world. Here is a list of four noteworthy art fairs.Art Basel, Basel, SwitzerlandThe granddaddy of art fairs, Art Basel, was established in 1970 by a group of local art gallerists and is the biggest contemporary art fair in the world. Art Basel takes place over a 5-day period each June in Basel, Switzerland. The high cost of renting space for gallery owners is offset（抵消）by the huge attendance at the fair. For example in 2010, about 60,000 visitors attended Art Basel.Frieze Art Fair, London“Frieze Art Fair was established in 2003 and is one of the few fairs to focus only on contemporary art and living artists.v"Thefair takes place every October in Regent's Park, London. It features over 170 of the most exciting contemporary art galleries in the world. ”In addition to the fair which began in 2003, the fair owners Matthew Slotover and Amanda Sharp publish Frieze, an international art magazine established in 1991 and devoted to contemporary art.TEFAF Maastricht, the NetherlandsEstablished in 1975 as The Pictura Fine Art Fair, and renamed The European Fine Art Foundation（TEFAF）, Maastricht in 1996, the fair includes 260 of the world's most famous art and antique dealers from 16 countries.The 24th edition of the TEFAF fair held March 18 — 27, 2011 featured 260 dealers exhibiting approximately 30, 000 artworks and antiques with an overall value of $ US 1. 4 billion.ARCO, MadridARCO Madrid was established in 1982 and is one of Europe's leading and popular art fairs. In addition to the exhibiting galleries（in 2011, 197 international art galleries participated）, a seriesof lectures and specially focused exhibitions take place.1.How does Art Basel cover the expense of renting space?A.By selling tickets.B.By selling expensive exhibits.C.By donation from dealers.D.By support from the government.2.The owners of Frieze Art Fair are also in charge of____.A.170 living artists.B.An international art magazine.C.30,000 artworks and antiques.D.A series of lectures.3.Which of the following has the longest history?A.Art BaselB.Frieze Art FairC.TEFAFD.ARCOBGray wolves have lived inNorth Americafor at least half a million years. Their living areas once included most of the continentalUnited States. But during the 1800s and early 1900s, wolves were hunted to near extinction(灭绝).By the 1960s, theU. S.wolf population was limited to a handful of creatures in small comers of the northernMidwest.Then, in 1973, a law, the ESA, was passed to protect animals from becoming extinct. Gray wolves were one of the first animals placed on the endangered-species(濒危物种)list. Killing them wasillicit. And theU. ernment worked to promote their protection. In a famous example of this effort, starting in 1995, 31 wolves were moved fromCanadatoYellowstoneNational Park. By 2015, more than 500 gray wolves were living in the Greater Yellowstone Ecosystem(生态系统).Today, the continentalU. S.is home to more than 6,000 gray wolves. On January 4, 2021, theU. ernment removed gray wolves from the endangered-species list.Usually, an animal's removal would be cause for celebration. But some environmental protectors say the wolves still need protection. In some parts of the country, wolves are increasing in numbers. More than a thousand of them can be found just inMichiganandWisconsin. But overall, their range is still a small part of what it was. Wolves used to live across most of the U. S. Now they , are found in fewer than a dozen states. Others argue that as long as a species is not in danger of extinction, it doesn't belong on the endangered-species list. And farmers with land near wolf living areas say that if the wolf's population continues to grow, more of their farm animals will be killed by wolves.But some protection groups worry that without protection, the wolf population will crash again. They hope that no matter what, people and wolves can get along peacefully with each other. They are promoting ways to make that happen.4. What caused gray wolves to be almost extinct?A. Losing their living areas.B. Too many natural enemies.C. The extreme climate changes.D. Being hunted in great numbers.5. What does the underlined word "illicit" in paragraph 2 mean?A. Rather difficult.B. Against the law.C. Totally normal.D. Conditionally allowable.6. Why was the gray wolf removed from the endangered-species list?A. They have a much larger population already.B. They have all been put into the safe natural parks.C. They have been feeding on farmers, farm animals.D. They have grown too strong to be protected by humans.7. What do farmers living near gray wolves' living areas think of the animals?A. The wolves are trouble for them.B. The wolves must be better protected.C. The wolves get along peacefully with them.D. The wolves should live where they belong.CA Bridge Linking Art and the AudienceAccording to a 2018 report, people aged between 16 and 24 make up about 15 percent of the population but only 10 percent of museum-goers. Similarly, people aged over35 go half as much as you would expect from their population size. We have reached the point of recognising the disconnection between art and the audience but haven’t yet determined how to bridge the gap. Two answers to tackling this challenge lie in telling a greater diversity of art histories and communicating these stories in more accessible ways.In 2018, a radio program called Art Matters was started with the aim of discussing art from a pop-culture viewpoint with topics that would engage younger and more diverse audience. It offers an accessible pathway to art history with conversations on different topics. Art history is about storytelling; art content shines when there is an effort to bring audience along for the discussion.More traditional institutions are paying attention. Recently theGettyMuseumissued a social-media challenge for people to recreate paintings using items they had at home. Users displayed incredible creativity, and the museum was flooded with submissions. This reaction proves that there is a potential desire for the audience to engage with art topics if the format is appealing. Since many people feelintimidatedand think that there’s a base level of understanding required to join the conversation, the Getty initiative serves as a reminder that there are many pathways to engaging with it.Another result of the Getty challenge was the exposure given to a diversity of artworks. The famous operasinger Peter Brathwaite, for example, made scores of attractive recreations highlighting centuries of black paintings. His efforts opposed the idea that there were not many historical paintings of black figures. It is extremely important that we do a better job of showing the complex and diverse stories that are represented in art.Social media have offered a platform for people who have not traditionally had a seat at the table. Anyone can recognise a gap in the field and address it. Accounts have gathered tens of thousands of followers. They are the proof that there is hunger to hear these art histories, and these themes work brilliantly for museum programming.But there is only so much that can be done without the museums and galleries changing meaningfully from within. We need to see a better balance of these stories represented in permanent collections. We also need a much wider diversity of people and interests represented on board. Ensuring that art-and writing and talking about art-is able to continue on the rising generation of storytellers, inside and outside of institutions, getting the funding and support they need to paint a brighter picture for the part.8. What challenge is the author trying to tackle?A. People doubt a great diversity of artworks.B. Fewer and fewer young people go to museums.C. Art appears too distant from common audience.D. Adult audience has a different understanding of art.9. What does the underlined word “intimidated” in Paragraph 3 probably mean?A. Tired.B. Worried.C. Annoyed.D. Surprised.10. In the author’s opinion, the museums and galleries should ________.A. make the art history stories accessible in a traditional way.B. change meaningfully for activities like the Getty challenge.C. limit the number of storytellers both in and out of institutions.D. improve the permanent collections by adding famous artworks.11. We can conclude from the passage that common audience ________.A. lacks the channels to understand and talk about art history.B. prefers to view artworks and hear art stories on social media.C. feels satisfied with people and interests represented on board.D. refuses to engage with diverse art topics and art history stories.DThe cumulative rainfall in Henan province during the four days was the highest since the province has records, the provincial meteorological service said. The rain was heaviest in the provincial capital, Zhengzhou, for a short period on Monday and Tuesday. Northern, western and central parts of Henan also experienced downpours, the service said. Zhengzhou's biggest one-hour precipitation (降水量) —201.9 mmbetween 4 and 5 pm on Tuesday—was also the highest on the Chinese mainland. The previous record was 198.5 mmin the village of Linzhuang in Zhumadian in August 1975, the National Meteorological Center said. The city's precipitation duringthe four days exceeded that of its average annual precipitation, the center said.Chen Tao, chief forecaster at the National Meteorological Center, said abundant water vapor (水蒸气) brought by Typhoon In-Fa and the province's special geographical features led to Henan's rain. “Partly affected by the typhoon, large amounts of water vapor have been transported to China's inland areas, including Henan,” he said.From Thursday to Monday, rain was forecast to continue in Henan. However, rainfall will gradually subside in Zhengzhou and the province's northern and central regions, though the storms will increase the risk of mountain torrents and other geological disasters. By Monday, lighter rain is forecast for parts of Henan, the provincial weather service said. However, local authorities are still urged to bevigilantand prepare to prevent or cope with flooding and other possible disasters.Predicting such weather events remains a challenge worldwide because it involves many meteorological phenomena, the center said. “The formation of this kind of extreme weather, including rainstorms and high temperatures, is complex,” Chen said. “We still lack effective solutions and methods for such forecasting”, he said. “We are now putting a lot of effort into tackling the difficulty. We believe that as the technology improves, we can better forecast the events.”12. What message does the author mainly want to convey in the first paragraph?A. heavy rain fell in Zhengzhou.B. The rain in Henan lasted four days.C. Zhumadian also suffered the similar heavy rain.D. Henan experienced the biggest rainfall of all time.13. What can be indicated from Chen Tao's words?A. It is not easy to forecast the extreme weather.B The rain of Henan is mainly caused by Typhoon In-Fa.C. The center hasn't put a lot of effort into solving the problem.D. Rainstorms and high temperatures can account for the heavy rain.14. What does the underlined word “vigilant” probably mean?A. Relaxed.B. Alert.C. Reluctant.D. Communicative.15. Where might the text be most probably taken from?A. history book.B. A novel.C. A news report.D. A science magazine.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。
2020届成都市实验外国语学校高三英语模拟试卷及参考答案
2020届成都市实验外国语学校高三英语模拟试卷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AAmid the coronavirus outbreak, the U. S. Department of Homeland Security recommends having at least a two - week supply of water and food.PotatoesShelf life：2 to 5 weeks if stored in a cool, dry, dark placeYukon Gold, red, and fingerling potatoes will last from two to three weeks. Larger white potatoes can last for three to five weeks. Sweet potatoes have about the same shelf life. Don't store them next to onions, however. The two might go together well in cooking, but raw, each gives off gases and moisture that might cause the other to spoil faster.Tea※Shelf life：6 to 12 months past "sell - by" dateDried tea leaves, whether loose (in a sealed container) or in teabags (in an unopened box) can easily last a year or more if they' re not subjected to damp or humidity. However, the tea does tend to lose flavor over time.Peanuts● Shelf life：1 to 2 monthsPeanuts in their shell, especially when kept cool and dry, are perfectly happy in the cupboard for as long as two months.Canned fruits and vegetables● Shelf life：1 to 2 years past "sell - by” dateCanningis an extremely efficient means of preserving food. Generally speaking, if canned foods aren't subjected to extreme heat, their contents should stay good for two years or more. Be aware, however, of dented cans or those with swollen tops, which may indicate the presence of bacteria inside.1. Which can go bad faster if stored with onions?A. Potatoes.B. Tea.C. Peanuts.D. Canned fruits and vegetables.2. What is special about tea?A. The flavor of tea can always remain the same.B. Tea leaves are better to be preserved in an open jar.C. Tea leaves should be kept away from the state of being wet.D. The maximum length of time that tea can be stored is 6 months.3. What may shorten the "sell - by” date of canned foods ?A. Shapes of cans.B. Categories of foods.C. Decline of the temperature.D. Exposure to high temperature.BWe all use different ways to remember ideas, facts and things we need to store. Remembering is an extremely important part of our learning experience. Information process, storage and recall encourage purposeful learning.But the brain doesn’t store everything we want or need for future use. It makes choices and tends to remember information that forms a memorable pattern. Things you learned recently can be particularly difficult to remember because they haven’t taken root in your mind.“Forgetting allows us to remember what is really important to our survival. We forget much of what we read, watch, and think directly every day.” writes John Medina in his book, Brain Rules.How do you avoid losing 90%of what you’ve learned? An inspiring writer and speaker Zig Ziglar once said: “Repetition is the mother of learning, the father of action, which makes it the architect of accomplishment.”Repetition has been a remembering skill for ages. When you hear or read something once，you don’t really learn it-at least not well enough to store the new information for long. The right kind of repetition can do wonders for your memory. People learn or remember better by repeating things or getting exposed to information many times. Othersrepeat particular steps or processes deliberately a number of times or even years to become better at certain skills.Daniel Coyle explains in his book, The Little Book of Talent:“...closing the book and writing a summary, even short ones, forces you to figure out the key points, process and organize those ideas so they make sense, and write them on the page. When you pick it back up weeks later, reread all of your notes or highlights to strengthen the ideas even further.”People learn by repeating things. Better learning is a repetition process. Every time we repetitively access something we already know, we increase the memory’s stored value.4. Which of the following can be inferred from the passage?A. The brain tends to store 90% of the things we learn.B. The fresher the information isthe easier to remember.C. Thinking is more important than remembering in study.D. The brain tends to choose and keep what it thinks important.5. How does the writer prove his opinion?A.By giving examples.B. By listing numbers.C. By borrowing words of experts.D. By providing scientific finding.6. What does Daniel Coyle want to say in his book?A. You can’t pay too much attention to repetition.B. Summarizing is a very effective learning tool.C. Forgetting forces human brain to make choices.D. Regular repetition helps to form good habits.7. Which do you think is the best title of the passage?A. How the Brain WorksB. Reading for MoreC. Fighting Against ForgettingD. Repeat to RememberCWhile space travel still gets lot of attention, not enough attention has been paid to the exploration of oceans, about which we know much less than the dark side of the moon.Ninety percent of the ocean floor has not even been recorded and while we have been to the moon, the technology to explore the ocean's floors is still being developed. For example, a permanent partially-underwater sea exploration station, called the Sea Orbiter, is currently in development.The oceans play a major role in controlling our climate. But we have not learned yet how to use them to cool us off rather than contribute to our overheating. Ocean organisms are said to hold the promise of cures for a wide of the unique eyes of skate (ray fish) led to advances in conquering blindness, the horseshoe crab was important in developing a test for bacterial pollution, and sea urchins helped in the development of test-tube fertilization(人工授精). The toadfish's' ability to regenerate its central nervous system is of much interest to neuroscientists. A recent Japanese study concluded that the drug Eribulin, which was taken from sea sponges, is effective in fighting with breast, colon, and Urinary cancer.Given the approaching crisis of water insufficiency, we badly need to improve current methods, of desalinating(淡化) ocean water and make them more efficient and less costly. By 2025, 1.8 billion people areexpected to suffer from severe water shortage, with that number jumping to 3. 9 billion by 2050-well over a third of the entire global population.If the oceansdo not make your heart go beating faster, how about engineering a bacterium that eats carbon dioxide — and thus helps protect the world from overheating — and produces fuel which will allow us to drive our cars and machines, without oil? I cannot find any evidence that people young or old, Americans or citizens of other nations would be less impressed or less inspired with such a breakthrough than with one more set of photos of a faraway galaxy or a whole Milky Way full of stars.8. What does the author think about the ocean exploration?A. It is equal to the space exploration.B. It is well developed.C. It deserves more attention and devotion.D. It is beyond our knowledge.9. What technology has been developed to make use of the oceans?A. Curing human diseases with ocean organisms.B. Preventing the world getting warmer.C. Mapping the global ocean floor.D. Removing salt from sea water.10. What does the author imply in the last paragraph?A. The temperature rise will be overcome by a bacterium.B. Solving the existing problems is more significant.C. The space exploration is worth the efforts.D. The ocean exploration is not inspiring.11. What is the best title of the passage?A. Oceans, the Last Hope.B. Oceans, the Hidden Treasure.C. Space, the Final Frontier.D. Space, the Faraway Dream.DAlaska—The American city Anchorage is recovering from a powerful earthquake Friday that damaged public buildings, homes and roads.The 7.0 earthquake caused buildings to slake. But there have been no reports of deaths, serious injuries or damage. Officials say the quake has not affected transportation of food and her supplies. “The ships are coming in on schedule, the supply lines are at this point working well,” the government told reporters Sunday.The Glenn Highway was probably the road hit hardest by the earthquake. It connects the state's largest city toother parts in the north. Traffic has been heavy and slow—moving since the quake. Drivers are being guided. Groups of workers are trying to rebuild areas where the quake left large holes in the road.People who are still nervous after the major quake have been more upset by more than 1, 700 aftershocks. “Anything that moves, you feel terrified”said David, whose home suffered structural(结构)damage, including a sunken foundation(地基). Actually, Alaska came up with strict building rules after a 9. 2 earthquake in 1964. That was the second most powerful earthquake on record.Government officials said a public health center promises that moneyfor medical treatment will continue to come. Mental healthy service(心理健康服务)is also available for people hurt by the disaster.Earthquake experts say there is a 4 percent chance of another 7. 0 earthquake or greater in the following week. "The chance is very small, but its not impossible, ” said the expert, Paul Caruso.12. What was the result of the earthquake?A. Buildings were damaged.B. Food supply was cut off.C. Many people were killedD. The ships could not come in.13. Why is the traffic slow on the Glenn Highway?A. Because small quakes hit the city.B. Because falling rocks are a danger.C. Because the highway is badly damaged.D. Because drivers are misled.14. What can you learn from Paul Caruso?A. Another greater earthquake is on the way.B. Chances still exists of another earthquake.C. It will be safe in the 1th week after the quake.D. There is no possibility for more quakes.15. Where can your possibly read the passage?A. Ina story book.B. In a travel journal.C. In a poster.D. In a newspaper.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。
四川省成都市实验外国语学校2020届高三数学模拟(三)文试题含答案
成都市实验外国语学校高2017级数学模拟（三）文一、选择题（本大题共12小题，每小题5分，共60分）1.已知集合{}|A x y x Z ==∈，{}2|1,B y y x x A ==+∈，则A B 为（ ）A. ∅B. [)0,+∞C. {}1D. (){}0,12.若复数z 满足()1i z i +=，则z 的虚部为（ ） A. 1- B. 2- C. i - D. 2i -3.在平面直角坐标系xOy 中，已知角α的顶点在坐标原点，始边与x 轴正半轴重合，终边经过点P ，则cos2=α（ ）A. 3B. 13C. 13- D. 3- 4.《周易》是我国古代典籍，用“卦”描述了天地世间万象变化．如图是一个八卦图，包含乾、坤、震、巽、坎、离、艮、兑八卦（每一卦由三个爻组成，其中“”表示一个阳爻，“”表示一个阴爻）．若从含有两个及以上阳爻的卦中任取两卦，这两卦的六个爻中都恰有两个阳爻的概率为（ ）A. 13B. 12C. 23D. 345.下列判断正确的是（ ）A. 两圆锥曲线的离心率分别为1e ，2e ，则“121e e <”是“两圆锥曲线均为椭圆”的充要条件B. 命题“若21x =，则1x =.”的否命题为“若21x =，则1x ≠.”C. 若命题“p q ∧”为假命题，则命题“p q ∨”假命题D. 命题“x R ∀∈，22x x ≥."的否定是“0x R ∃∈，0202x x <.”6.函数2()cos ()x x e e x f x x--=的部分图象大致是（ ）A. B.C. D.7.在ABC ∆中，角A ，B ，C 的对边分别是a ，b ，c，且)cos cos 0a C c A --＝，则角A 的大小为（ ） A. 4π B. 3π C. 2π D. 34π 8.设m ，n 是两条不同的直线，α，β是两个不同的平面，则下列命题正确的是( )A. 若//m α，//n α，则//m nB. 若//αβ，m α⊂，n β⊂，则//m nC. 若αβ⊥，m αβ=，n ⊂α，则n β⊥D. 若m α⊥，//m n ，n β⊂，则αβ⊥ 9.若实数x ，y 满足约束条件2040250x y x y x y -+≥⎧⎪+-≥⎨⎪--≤⎩，则11y z x -=+的最大值为（ ） A. 1B. 2C. 3D. 4 10.定义在R 上偶函数()f x 满足()()2f x f x +=，且在[－1，0]上单调递减，设()2.8a f =-，()1.6b f =-，()0.5c f =，则a 、b ，c 大小关系是（）A. a b c >>B. c a b >>C. b c a >>D. a c b >>11.已知双曲线2222:1(0,0)x y E a b a b-=>>的左、右焦点分别为12,F F ,126,F F P =是E 右支上的一点，1PF 与y 轴交于点A ，2PAF ∆的内切圆在边2AF 上的切点为Q ，若AQ =E 的离心率是( )A. B. C. D. 12.已知函数33()1x f x x e =++，其导函数为()f x '，则()()()()2020202020192019f f f f ''+-+-- 的值为（ ）A. 1B. 2C. 3D. 4 二、填空题（本大题共4小题，每小题5分，共20分）13.已知向量()1,3a =，3,1b 则向量a 在向量b 方向上的投影为____________.14.函数f(x)＝x 3＋3ax 2＋3(a ＋2)x ＋1有极大值又有极小值，则a 的范围是 ．15.已知函数()cos (0)f x x x ωωω=+>，其图象与直线2y =的两个相邻交点的距离等于π，则()f x 的单调递增区间为______________．16.已知抛物线方程24y x =，F 为焦点，P 为抛物线准线上一点，Q 为线段PF 与抛物线的交点，定义：||()||PF d P FQ =.已知点(P -，则()d P =______；设点(1,)(0)P t t ->，则2()||d P PF -的值为____. 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.设等差数列{}n a 的前n 项的和为n S ，且462S =-，675S =-，求：（1）求{}n a 的通项公式n a ；（2）求数列{}n a 的前14项和.18.某网购平台为了解某市居民在该平台的消费情况，从该市使用其平台且每周平均消费额超过100元的人员中随机抽取了100名，并绘制如图所示频率分布直方图，已知中间三组的人数可构成等差数列.（1）求,m n 的值；（2）分析人员对100名调查对象的性别进行统计发现，消费金额不低于300元的男性有20人，低于300元的男性有25人，根据统计数据完成下列22⨯列联表，并判断是否有99%的把握认为消费金额与性别有关？（3）分析人员对抽取对象每周的消费金额y 与年龄x 进一步分析，发现他们线性相关，得到回归方程ˆ5yx b =-+.已知100名使用者的平均年龄为38岁，试判断一名年龄为25岁的年轻人每周的平均消费金额为多少.（同一组数据用该区间的中点值代替）22⨯列联表 300 消费金额300<临界值表：22()()()()()n ad bc K a b c d a c b d -=++++，其中n a b c d =+++19.如图1，在平行四边形ABCD 中，4=AD ，AB =45DAB ∠=︒，E 为边AD中点，以BE 为折痕将ABE △折起，使点A 到达P 的位置，得到图2几何体P EBCD -．（1）证明：PD BE ⊥；（2）当BC ⊥平面PEB 时，求三棱锥C PBD -的体积．20.已知椭圆E的左右焦点分别是1(F、2F，且经过点2M ⎭. （1）求椭圆E 的标准方程：（2）设AC ，BD 是过椭圆E 的中心且相互垂直的椭圆E 的两条弦，问是否存在定圆G ，使得G 为四边形ABCD 的内切圆?若存在，求圆G 的方程，若不存在，请说明理由.21.已知函数2()1xe f x ax bx =++，其中0a >，b R ∈，e 为自然对数的底数. (1)若1b =，且当0x ≥时，()1f x ≥总成立，求实数a 的取值范围；(2)若0b =，且()f x 存在两个极值点1x ，2x ，求证：2121()()2e f x f x ++< 22.己知在平面直角坐标系xOy 中，曲线C 参数方程为222111x t t y t ⎧=-+⎪⎪-⎨⎪=⎪-⎩（t 为参数）.以原点O 为极点，x 轴正半轴为极轴建立极坐标系，直线l 的极坐标方程为cos 3πρθ⎛⎫+= ⎪⎝⎭（1）求曲线C 和直线l 直角坐标方程；（2）若直线l 交曲线C 于A ，B 两点，交x 轴于点P ，求11PA PB+的值. 23.已知a ，b ，c 均为正实数，求证：（1）()2()4a b ab c abc ++≥；的（2）若3a b c ++=.。
2020年2020届四川省成都市实验外国语学校2017级高三模拟考试(三)文科数学试卷无答案
13．已知向量 a 1,
3
，b (
3,1) 则向量 a 在向量 b 方向上的投影为________.
14．函数 f (x) x3 3ax2 3(a 2)x 1有极大值又有极小值，则 a 的范围是
．
第2页共4页 2020年2020届四川省成都市实验外国语学校2017级高三模拟考试（三）文科数学试卷
A． a b c
B． c a b
C． b c a
D． a c b
11．已知双曲线
E
:
x a
2 2
y2 b2
1(a 0,b 0) 的左、右焦点分别为 F1, F2 ,
F1F2
6, P 是 E
右支上的一点， PF1 与 y 轴交于点 A ， PAF2 的内切圆在边 AF2 上的切点为 Q ，若
15．已知函数 f (x) 3 sin x cos x( 0) ，其图象与直线 y 2 的两个相邻交点的 距离等于 ，则 f (x) 的单调递增区间为______________．
16．已知抛物线方程 y2 4x ， F 为焦点， P 为抛物线准线上一点， Q 为线段 PF 与抛物
线的交点，定义：d
成都市实验外国语学校高 2017 级数学模拟（三）文
一．选择题（本大题共 12 小题，每小题 5 分，共 60 分）
1．已知集合 A x | y 1 x2 , x Z ， B y | y x2 1, x A ，则 A B 为( )
A．
B．0,
C．1
D． 0,1
2．若复数 z 满足 1 i z 3 i ，则 z 的虚部为（ ）
B． 3
C．
2
3
D．
4
8．设 m，n 是两条不同的直线， ， 是两个不同的平面，则下列命题正确的是( )
2020届成都市实验外国语学校高三英语三模试卷及答案解析
2020届成都市实验外国语学校高三英语三模试卷及答案解析第一部分阅读（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ASheffieldLincoln College of EnglishClasses for foreign students at all levels.3 months, 6 months, 9 months and one year course.Open all year.Small class (at most 12 students).Library, language laboratory and listening center.Accommodation (住宿)with selected families.25 minutes from London.Course fees for English for one year are￡1,380 with reduction for shorter periods of study.1.This passage is probably taken from _______.A.an advertisementB.a noticeC.a posterD.a piece of news2.Who will be accepted by this college?A.Both foreign and native students.B.Only foreign beginners and the advanced.C.Foreign students from beginners to the advanced.D.Only foreign students advanced.3.While you stay there, who will take care of you?A.Your parents.B.Your classmates.C.The school where you study.D.The family you have chosen.BTrees are “social creature” that communicate with each other in cooperative ways that hold lessons for humans, too, ecologist Suzanne Simard says. Simard grew up in Canadian forests as a child of loggers before becoming an ecologist. She's now a professor of forest ecology at theUniversityofBritish Columbia.Trees are linked to neighboring trees by a network of fungi below the surface of the earth that resembles the nervous networks in the brain, she explains. In one study, Simard watched as a Douglas fir tree that had been injured by insects appeared to send chemical warning signals to a pine nearby. The pine tree then produced defense enzymes to protect against the insect.“This was a breakthrough,” Simard says. The trees were sharing “information that actually is important to the health of the whole forest.”In addition to warning each other of danger, Simard says that trees have been known to share nutrients at critical times to keep each other healthy. She says the trees in a forest are often linked to each other via an older tree she calls a “mother” or “hub” tree.“In connecting with all the trees of different ages, the mother trees can actually ease the growth of these young trees,” she says. “The young trees will link into the network of the old trees and benefit from that huge resource capacity. And the old trees would also pass a little bit of carbon and nutrients and water to the young trees, at crucial times in their lives, that actually help them survive.”The study of trees took on a new resonance for Simard when she suffered from breast cancer. During her treatment, she learned that one of the medicines she relied on was actually obtained from what some trees produce for their own mutual defense. She explains her research on cooperation in the forest, and shares her personal story in the new bookFinding the Mother Tree: Discovering the Wisdom of theForest.4. How could a Douglas fir tree send chemical warning signals to a pine nearby?A. By an underground network of fungi.B. By the nervous networks in the brain.C. By making cooperation with each other.D. By holding lessons to it as human beings.5. According to Simard, what was a breakthrough?A. Simard was-brought up in Canadian forests.B. She became a professor of forest ecology.C. The pine tree produced defense enzymes.D. Vital information was shared among trees.6. What helped Simard understand trees further?A. Her rich knowledge of trees.B. Her childhood in the forest.C. Her medicine gained from trees.D. Her research on cooperation.7. In Simard's book we may discover the wisdom of the forest except .A. communicating cooperativelyB. warning each other of dangerC. sharing nutrientsat critical timesD. sacrificing mother trees for survivalCWhen I was trying to find a place where to spend my December holidays, I met by chance some cheap flights to Iceland. After checking just a few winter pictures of Iceland, I realized that the country, known as the land of fire and ice, during the cold months of the year could offer me experiences I had never had before.For sure you can’t miss the chance to go to Iceland in winter if your traveling wish list includes at least one of the crazy experiences Iceland can offer. Iceland in the North Atlantic Ocean is a paradise (乐园) for all those who want to see the northern lights, experience cold weather conditions and put themselves in geothermal (地热的) baths while the snow is falling on their head.The best way to move around Iceland is with a rental car. Distances are huge and public transport in winter is not really common out of the major towns. As we wanted to be even more convenient we decided to rent a small camper (野营车). Sleeping and cooking in a camper saved us a lot of driving, money and gave us the chance tobe always in the right place at the right time.There were also no locals and in many cases no tourist facilities (设备). For us, as we slept in a camper, it was easier. But for tourists traveling by normal cars it is necessary to check the opening times ofhotels and restaurants as many of them run just from June to September.It is amazing to experience how the weather is changing in Iceland. However, Icelanders prefer to stay inside their houses. They have even no time to complain about the weather in December. All they care about is Christmas. They love to decorate their houses, sing Christmas songs and eat typical Christmas food.8. Why is Iceland famous as the land of fire and ice?A. Because tourists would like to play with fire on the ice.B. Because it is too dry to easily cause fire to happen.C. Because it is hot inside a house and cold outside.D. Because there exist hot springs and freezing ice.9. What did the author think of the rented camper?A. It was not only practical but also economical.B. It was convenient but cost them more money.C. It provided the best chance to see the new country.D. It was much faster than other public transport.10. What does the last paragraph imply?A. The Icelanders prefer to live with their family.B. The joy of Christmas drives the freezing weather away.C. December is the coldest month of the year.D. The Icelanders are always positive and stay outside.11. What does this passage most probably come from?A. A textbookB. A scientific reportC. A travel magazineD. A news reportDI don’t think I can recall a time whenI wasn’t aware of the beauty of the ocean. Growing up inAustralia, I had the good fortune of having the sea at my side. The first time I went toHalfmoonBay,I suddenly had the feeling of not being able to feel the ground with my feet anymore.For my 10th birthday, my sister and I were taken out to theGreat Barrier Reef. There were fish in different color1 s, caves and layers of coral. They made such an impression on me. When I learned that only one percent ofAustralia’sCoral Seawas protected, I was shocked. Australian marine (海洋的) life is particularly important because the reefs have more marine species than any other country on earth. But sadly, only 45% of the world’s reefs are considered healthy.This statistic is depressing, so it’s important for usto do everything to protect them. The hope that theCoral Searemains a complete ecosystem has led me to take action. I’ve become involved with the Protect Our Coral Sea activity, which aims to create the largest marine park in the world. It would serve as a place where the ocean’s species will all have a safe place forever.Together, Angus and I created a little video and we hope it will inspire people to be part of the movement. Angus also shares many beautiful childhood memories of the ocean as a young boy, who grew up sailing, admiring the beauty of the ocean, and trying to find the secrets of ocean species.12. What can we learn about the author from the underlined sentence inPara. 1?A. He seldom went surfing at the sea.B. He forgot his experiences about the ocean.C. He never went back to his hometown.D. He had a wonderful impression ofHalfmoonBay.13. What is Australian marine life like according to the second paragraph?A. It is escaping from theCoral Seagradually.B. It depends on reefs for living greatly.C. It may be faced with danger.D. It is protected better than that in other oceans.14. What’s the purpose of The Protect Our Coral Sea activity?A. It is intended to contribute to a complete ecosystem.B. It is intended to prevent more marine species being endangered.C. It is intended to set up a large nature reserve for reefs.D. It is intended to raise more teenagers’ environmental awareness.15. Why do Angus and the author create a little video?A. To urge more people to take action toprotect the marine species.B. To inspire more people to explore the secret of the ocean.C. To share their childhood experiences about the ocean.D. To bring back to people their memory of ocean species.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。
2020年成都市实验外国语学校高三英语三模试卷及参考答案
2020年成都市实验外国语学校高三英语三模试卷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AConservation Volunteering in New ZealandWhether you are a student, professional or a retiree (退休者), anyone is welcome to make a difference and contribute to protecting some of the most beautiful islands in the world. Choose a suitable city and travelout to your conservation (保护) site to work with local people!Duration: 1-12 weeks Dates: Throughout the yearArrival day: Friday Return day: FridayRequirement: General level of fitness Age: 18+What will I be doing?Volunteer in New Zealand and enjoy conserving the environment through activities such as:·Tree planting·Walking trail construction·Protect native birds, insects, fish and penguins·Seed collection·Weed controlYou, and a group of up to 10 volunteers, will work under the guidance of a conservation team leader. Your team leader will give you regular safety instructions, inform you of the project aims and assist you with working effectively.No previous experience is necessary to join the project. All you need is a love of the environment and a fairly good level of fitness to help out!1.Who can sign up for this conservation volunteering project?A.A retired maths teacher.B.A primary school student.C.A scientist with heart disease.D.A businessman in a wheelchair.2.What can you do on the volunteer trip?A.Protect cultural sites and go shopping.B.Enjoy local sightseeing and go fishing.C.Protect weeds and build roads.D.Collect seeds and plant trees.3.From which is the text probably taken?A.A history book.B.A travel magazine.C.A research paper.D.A novel.BThefirst thing we notice about new people are their faces. The next time we see these people, we remember them because we remember their faces. This seems like a simple process. However, scientists found that it is not such a simple process. The section of the brain that is responsible for face recognition seems to work differently for different people. Some people have great difficulty remembering and recognizing faces, while others almost never forget a face.Normal babies are born with a natural ability to recognize faces. In fact, their face recognition abilities are much better than their parents. Babies are most highly skilled at face recognition at six months. But by nine months, they lose this skill. By nine months, a baby’s face-recognition skills are about the same as an adult’s.Unfortunately, some people are not born with this ability to recognize faces. The part of the brain that is responsible for face recognition doesn’t work for them. This condition is called face blindness. People with very severe face blindness cannot even recognize their own faces. In fact, people with this condition can sometimes be frightened when they look in the mirror. They don’t recognize their own face, so for a second they are startled when they see this unfamiliar face.Face blindness is not always severe. Scientists believe up to 10 percent of the population may be affected by face blindness to some degree, yet many people with mild face blindness might not even know they have it. They have no reason to know they are different from anyone else until someone points it out. This is similar to people with color1 blindness. Colorblind people can’t see the difference between certain color1 s such as red and green, until someone tells them that green and red are two different color1 s.There is no cure for face blindness. So for the time being, people with face blindness need to find simple techniques to compensate for their problem. They can try to recognize people by their hairstyle, their voice, or their glasses. Hopefully, in the future as scientists learn more about this condition, they may find a cure.4. What is the first paragraph mainly about?A. The way to improve one’s face-recognition skills.B. The simple process of the brain to recognize others’ faces.C. The fact that some people have face-recognition problems.D. The importance of face recognition in human communication.5. When do children have the best face-recognition skills?A. At birth.B. Half a year old.C. Nine months old.D. In adolescence.6. What does the underlined word “startled” in the 3rd paragraph probably mean?A. Depressed.B. Confused.C. Embarrassed.D. Surprised.7. What does the author think of the problem of face blindness?A. People need to take it seriously.B. Certain techniques can make up for it.C. It will be cured in the near future.D. It has the same effect with color1 blindness.COne billion people in the world are short of water. How can this problem be solved. Some suggestions have been to desalinate ocean water or to build enormous water pipelines from areas where water is abundant. (Suggestions such as these prove extremely expensive when they are actually used.) One possibility that scientists are considering is pulling icebergs from either the North Pole or the South Pole to parts of the world with a water shortage. Although many questions must be answered before such a project could be tried, moving icebergs seems a reasonable possibility in the future.Engineers, mathematicians, and glaciologists from a dozen countries have been considering the iceberg as a future source of water. Saudi Arabia is particularly interested in this project because it has a great water shortage. Scientists estimate that it would take 128 days to transport a large iceberg (about 1/2 square mile) to Saudi Arabia. Yet the iceberg would be completely melted by the 104th day. Therefore, insulation would be essential, but how to insulate the iceberg remains an unsolved problem.The problems in transporting an iceberg are numerous. The first problem is choosing the iceberg to pull. The icebergs that form in the North Pole are quite difficult to handle because of their shape. Only a small portion extends above the water — most of the iceberg is below the surface, which would make it difficult to pull. South Pole icebergs, on the other hand, are flat and float like table tops. Thus they would be much easier to move.How can a 200-million-ton iceberg be moved. No ship is strong enough to pull such enormous weight throughthe water. Perhaps several ships could be used. Attaching ropes to an iceberg this size is also an enormous problem. Engineers think that large nails or long metal rods could be driven into the ice. What would happen if the iceberg splits into several pieces during the pulling. Even if an iceberg with very few cracks were chosen, how could it be pulled through stormy waters. Furthermore, once the iceberg reached its destination, very few ports would be deep enough to store it.All of these problems must be solved before icebergs can become a reasonable source of water. Yet scientists estimate that it will be possible to transport them in the near future. Each year, enough icebergs form to supply the whole world with fresh water for a full year. In addition, icebergs are free and nonpolluting. As a solution to the world’s water problems, icebergs may be a workable possibility.8. What is a problem in transporting iceberg?A. The size of the iceberg.B. The colour of the iceberg.C. The salt in the iceberg.D. The movement of air and water.9. What is the author’ attitude towards transporting iceberg?A. Pessimistic.B. Objective.C. Optimistic.D. Unconcerned.10. What does the last paragraph mainly tell us?A. It is hard to use iceberg.B. Iceberg are a good choice.C. There are problems with iceberg.D. Man finds no other ways to solve water shortage.11. What can be a suitable title for the text?A. Shortage of water.B. Icebergs for water.C. Scientists and icebergs.D. Iceberg—scientists headache.DPhotographer Rebecca Douglas has always been fascinated by the night sky. Her love for stars has taken theU.K.resident on “star walking” trips toIcelandand into theArctic, where she steps out onto darkened trails to capture twinkling stars and glowing planets in her images.Hiking at night isn’t uncommon. Plenty of people hike after dark to get to campsites or watch the sunrise from a mountaintop. Star walking goes a step further by blending hiking with stargazing. Rather than heading to an observatory or setting up a telescope in your backyard,star walking takes you on a brief journey to look at thestars from different viewpoints.Whether you’re in the mountainside or by the lake with stars reflecting on the water, star walking is often much more dynamic than traditional stargazing.What’s more, star walking is good for you. There are plenty of studies that show the health benefits of being in nature. Spending at least two hours a week outdoors, particularly while engaging in what involves “effortless attention”, can decrease blood pressure, heart rate, and stress levels.So how does an aspiring star walker get started? It doesn’t take much more than a sturdy pair of boots.While telescopes and binoculars obviously have their uses, people are encouraged to start with naked-eye stargazing. Using only the eyes allows one to get lost in the infinite expanse of space and lets the mind go.It is advised that one read up on the night sky before heading out. Free mobile apps, such as Star Walk 2, can help identify celestial bodies（天体）and are easy to use—simply point your phone at the sky to reveal a map. Websites like Sky & Telescope and NASA’s Space Place cover the basics, have in-depth explanations on stars, and offer advice on equipment. Space Place posts monthly skywatching updates, so you can plan outings around events such as meteor showers.In the United States, national parks are great options for inexperienced night hikers. Many offer guided outings that explain the importance of protecting night skies. Those with a good number of walks under their belt may want to try GlacierNational Park in Montana.If national parks and other dark-sky designated areas are out of range, check local astronomy clubs and observatories for guided sessions. Sites like the International Astronomical Union are useful for finding resources by area.At the end of the day, the best advice is to take it slow and enjoy the journey.“With all of the chaos（混乱）that’s happening around us, the one constant has been the night sky,” explains Douglas, who hasbeen exploring popular places nearby, long after the crowds have gone home for the day. “Walking is quite a mindful way of looking up and being reminded that, although everything feels so different, some things are still the same.”12. According to the passage, star walking refers to ________.A. going to an observatoryB. looking at stars in mountainsC. combining hiking and stargazingD. setting up a telescope in the backyard13. One of the reasons why people go on a star walking is that _______.A. it’s easier to identify celestial bodiesB. it is good for physical and mental healthC. they can enjoy the journey without crowdsD. they can raise awareness of protecting night skies14. According to the passage, a star walking beginner is advised to _______.A. prepare a pair of strong bootsB. start by observing with telescopesC. join an astronomy club or an observatoryD. find guided outings with the help of mobile apps15. The main purpose of the passage is to ________.A. excite people’s interest in star walkingB. recommend some places for star walkingC. explain the health benefits of star walkingD. introduce the preparations for star walking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。
2020年四川省成都实验外国语学校高考数学模拟试卷(理科)(三)
6.函数 的部分图象大致是（）
A. B. C. D.
7.在 中，角 ， ， 的对边分别是 ， ， ，且 ，则角 的大小为（）
A. B. C. D.
8.设 ， 是两条不同的直线， ， 是两个不同的平面，则下列命题正确的是（）
A.若 ， ，则
B.若 ， ， ，则
C.若 ， ＝ ， ，则
D.若 ， ， ，则
9.设随机变量 ， 满足： ， ，若 ，则 ( )
A. B. C. D.
10.已知函数 是定义在 上的偶函数，当 时， ＝ ，则 ， ＝ ， 的大小关系为（）
A. B. C. D.
11.已知双曲线 的左、右顶点分别为 、 ，点 为双曲线的左焦点，过点 作垂直于 轴的直线分别在第二、第三象限交双曲线 于 、 两点，连接 交 轴于点 ，连接 交 于点 ，且 ，则双曲线 的离心率为( )
【解答】
由集合 中的函数 ，
得到 ，解得： ，又 ，
则集合 ＝ ；
由集合 中的函数 ＝ ，且 ，得到集合 ＝ ，
则 ＝ ．
2.
【答案】
A
【考点】
复数的运算
【解析】
把已知等式变形，再由复数代数形式的乘除运算化简得答案．
【解ቤተ መጻሕፍቲ ባይዱ】
∵ ，
∴ ，
∴ 的虚部为 ．
3.
【答案】
B
【考点】
两角和与差的三角函数
任意角的三角函数
【解答】
两圆锥曲线的离心率分别为 ， ，由椭圆的离心率介于 ，可得
[选修4-4：坐标系与参数方程]
已知在平面直角坐标系 中，曲线 的参数方程为 （ 为参数）．以原点 为极点， 轴正半轴为极轴建立极坐标系，直线 的极坐标方程为 ．
2020年成都市实验中学高三英语三模试题及答案解析
2020年成都市实验中学高三英语三模试题及答案解析第一部分阅读（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ATheatre reflects the values of the civilization out of which it grows. The following are the types of theatre performances an ancient Roman might have witnessed then.Fescennine VerseFescennine Verse was a pioneer of Roman comedy. Ironic and improvisational（即兴的）, it was used mainly at festivals or weddings, and as invective. With early native Italian funny dialogues in Latin verse, it was thought to have combined with a tradition of performances by masked dancers and musicians from Etruria.Fabula AtellanaFabula Atellana relied on common characters, masks, direct humor, and simple plots. They were performed by actors improvising. Fabula Atellana came from the Oscan city of Atella. There were 4 main types of characters: the braggart, the greedy blockhead, the clever hunchback and the stupid old man, like modern Punch and Judy shows.Fabula TogataNamed for the clothing symbolic of the Roman people Fabula Togata had various subtypes. One was the Fabula Tabernaria, named for the tavern（酒馆）where the comedy’s preferred characters, lowlifes, might be found. One describing more middle-class types, and continuing the Roman clothing theme, was the Fabula Trabeata.Fabula PraetextaFabula Praetexta is the name for Roman tragedies on Roman themes, Roman history or current politics. Fabula Praetexta was less popular than tragedies on Greek themes. During the Golden Age of drama in the Middle Republic, there were four great Roman writers of tragedy, Naevius, Ennius, Pacuvius, and Accius. Of their surviving tragedies, 90 titles remain.All the performances above began as a translation of Greek forms, even to the extent of their being performed in Greek costume.1.Where might an ancient Roman witness Fescennine Verse?A.At a party.B.At a funeral.C.At a wedding.D.At a concert.2.Which type of performance describes the middle-class life?A.Fabula Atellana.B.Fabula Tabernaria.C.Fabula Trabeata.D.Fabula Praetexta.3.What do the listed types of performances have in common?A.They copy Latin dramas.B.They take on Greek forms.C.They reflect Roman themes.D.They refer to Italian stories.B“We are running out of space and the only places to go to are other worlds... Spreading out may be the only thing that saves us from ourselves. I am convinced that humans need to leave Earth.” These are the words of the famous scientist Stephen Hawking, spoken at a science festival inNorwayin 2017, a year before his death.Hawking was not alone in this view. Many experts feel that the only way for humanity to last far into the future is to colonize other planets. That way, if an asteroid, a terrible disease, nuclear war, or some other disaster strikes Earth, civilization as we know it would still have a chance. Mars is one of the most tempting destinations. NASA, theUnited Arab Emirates, the private company SpaceX, and the organization Mars One all have plans to send humans there. “Either we spread Earth to other planets, or we risk going extinct, SpaceX founder Elon Musk said at a conference in 2013.But not everyone agrees that colonizing Mars or any other planet is such a great plan. The most common argument against going is that it’s just too expensive or dangerous. It will take huge amounts of money and other resources just to get people there, let alone set up a place for them to live. It’s not even clear if humans could survive on Mars. One of the biggest dangers there is deadly radiation that bombards the planet.Maybe all the time and money people would pour into a Mars mission would be better spent on more urgent projects here on Earth, like dealing with poverty or climate change. Some experts argue that handling a problem like an asteroid strike or disease outbreak while staying here on Earth would be much easier and less expensive than surviving on a new planet.In addition, moving to a new planet could harm or destroy anything that already lives there. Mars seems uninhabited, but it could possibly host microbial life. Human visitors may destroy this life or permanently change or damage the Martian environment. Some feel that’s too much of a risk to take.What do you think? Should humans colonize outer space or stay home?4. What can be inferred from the passage?A. Many experts insist that humans should take the risk.B. Mars is the most attractive destinations for human beings.C. Hawking firmly believes the only way to save humans is moving to Mars.D. All the other experts don’t agree with Hawking’s idea.5. Why do some experts disagree with the plan to colonize Mars?A. It will cost much more money to settle on Mars than on Earth.B. It is too long a distance from the Earth to the Mars.C. Human visitors will bring diseases to Martian environment.D. The deadly radiation that bombards the planet is the biggest danger.6. What’s the writing purpose of the passage?A. To raise people’s awareness of protecting the environment.B. To present different opinions on whether to move to the Mars.C. To arouse readers’ reflection on whether to colonize outer space.D. To inspire people to deal with the environmental problems.7. In which section of a magazine is the passage most likely from?A. Fiction.B. Current affairs.C. Social Studies.D. Science.CCanadaIs Our NeighbourCanada and the United States are neighbours.They are on the same land.They share the same long boundary(国界).These two nations are similar in many ways.Canada buys many goods from the United States.Cars and clothes are two examples.The United States also buys goods from Canada.Much of the paper used in the United States comes from Canada.Some of the oilweuse comes from Canada,too.Americans travel toCanadaon holiday.And Canadians often visit the United States.It is easy for the people of one country to go to the other country.Canadians read about the United States in newspapers and magazines.Many Americans watch Canadian baseball and hockey (曲棍球)matches on Sundays.However,there are important differences between theUnited Statesand Canada.The United States has more people.Because the population is smaller,there are more open places in Canada.There is much unused land.This is another important difference.8.Canadabuys from theUnited States.A.oil and paperB.nothingC.many thingsD.everything9.In the first paragraph “we” means ________.A.CanadiansB.AmericansC.ChineseD.students10.The people in theUnited Stateslike Canadian ________.A.baseballB.basketballC.newspapersD.oil11.Which of the following statements is WRONG?A.Canada has less people than theUSA.B.Canada has not used all the land.C.Canada is connected withAmerica.D.Canadians don’t like hockey.DIn June, 2021, a group of students from eight high schools in Winnipeg, the capital of Canada’s Manitoba province, will begin test-launching (试发射) a satellite the size of a Rubik’s cube.The one-kilogram Win-Cube satellite, named for its home city and its shape, will be put into low orbit. Once in space, it can perform for a few months or up to several years, communicating information that could help find the signs of earthquakes.There are 80 similar satellite projects worldwide, but this is the first high-school based program of its kind in Canada. 30 Manitoba high school students are having a hand in designing and building the satellite, in cooperation with aerospace (航空航天的) experts and 10 students from the University of Manitoba, and with support from two other organizations.The Win-Cube project is not something that goes on a piece of paper; it is real-world engineering, allowing high school students to have an opportunity to learn more about the exciting world of engineering through their participation in this challenging program. It is also taken as a wonderful example of the unique partnerships within Manitoba. Designing, building and launching a satellite with high-school participation will bring this world-class educational project into reality and Manitoba closer to space“These Manitoba high school students deserve congratulations for their enthusiasm, innovation (创新), and a strong love for discovery,” said Education, Citizenship and Youth Minister Peter Bjomson. “We want to make science more relevant, interesting and attractive to high school students by showing them how classroom studies can relate to practical experience in the workplace or, in this case, in space,” Bjomson added.The Win-Cube program is mainly aimed at inspiring a strong desire for discovery on the part of the students. It also shows Manitoba’s devotion to research and innovation and the development of a skilled workforce—all important drivers of knowledge-based economic growth.12. What can we learn from Mr. Bjomson? .A. Those Manitoba high school students are worth praising.B. The study of space can be practically made in classrooms.C. Manitoba high schools are famous for the study of space.D. Scientific research is too far away from high school students.13. What is the primary purpose of the project ? .A. To find the early signs of earthquakes.B. To relate studies to practical.C. To help high school students study real-world engineering.D. To inspire a strong desire for discovery among the students.14. According to the passage, what can we know about the Win-Cube satellite? .A. It is named after Manitoba and its shape.B. It is intended for international communication.C. It is designed like a Rubik’s cube both in shape and size.D. It is challenged by university students around the world.15. What may be the best title for the passage?A. Manitoba SchoolB. Win-Cube ProgramC. Space Co-operationD. Satellite Launching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。
【精准解析】四川省成都市实验外国语学校2020届高三模拟考试(三)数学(文)试题
成都市实验外国语学校高2017级数学模拟（三）文一、选择题（本大题共12小题，每小题5分，共60分）1.已知集合{}2|1,A x y x x Z ==-∈，{}2|1,B y y x x A ==+∈，则AB 为（ ）A. ∅B. [)0,+∞C. {}1D.(){}0,1【答案】C 【解析】 【分析】求函数21,y x x Z =-∈的定义域化简集合A 的表示，求函数21,y x x A =+∈的值域化简集合B 的表示，最后利用交集的定义进行求解即可.【详解】因为{}{}2|1,1,0,1A x y x x Z ==-∈=-，{}{}2|1,2,1B y y x x A ==+∈=，所以{}1A B ⋂=. 故选：C【点睛】本题考查了集合的交集运算，考查了求函数的定义域和值域，考查了数学运算能力. 2.若复数z 满足()13i z i +=，则z 的虚部为（ ）A. 1-B. 2-C. i -D. 2i -【答案】A 【解析】 【分析】计算()12i z +=，利用复数除法运算得到答案. 【详解】()13312i z i +==+=，故()()()2121111i z i i i i -===-++-，故虚部为1-. 故选：A.【点睛】本题考查了复数的模，复数的除法，复数的虚部，意在考查学生的计算能力和综合应用能力.3.在平面直角坐标系xOy 中，已知角α的顶点在坐标原点，始边与x 轴正半轴重合，终边经过点(2,1)P ，则cos2=α（ ）A.22B.13C. 13-D. 22-【答案】B 【解析】 【分析】先由角α的终边过点(21)P ，，求出cos α，再由二倍角公式，即可得出结果. 【详解】解：因为角α的顶点在坐标原点，始边与x 轴正半轴重合，终边经过点(21)P ，， 所以26cos 321α==+， 因此21cos 22cos 13=-=αα. 故选：B【点睛】本题主要考查三角函数的定义，以及二倍角公式，熟记三角函数的定义与二倍角公式即可，属于基础题.4.《周易》是我国古代典籍，用“卦”描述了天地世间万象变化．如图是一个八卦图，包含乾、坤、震、巽、坎、离、艮、兑八卦（每一卦由三个爻组成，其中“”表示一个阳爻，“”表示一个阴爻）．若从含有两个及以上阳爻的卦中任取两卦，这两卦的六个爻中都恰有两个阳爻的概率为（ ）A. 13B.12C.23D.34【答案】B 【解析】 【分析】基本事件总数为6个，都恰有两个阳爻包含的基本事件个数为3个，由此求出概率.【详解】解：由图可知，含有两个及以上阳爻的卦有巽、离、兑、乾四卦，取出两卦的基本事件有（巽，离），（巽，兑），（巽，乾），（离，兑），（离，乾），（兑，乾）共6个，其中符合条件的基本事件有（巽，离），（巽，兑），（离，兑）共3个， 所以，所求的概率3162P ==. 故选：B.【点睛】本题渗透传统文化，考查概率、计数原理等基本知识，考查抽象概括能力和应用意识，属于基础题．5.下列判断正确的是（ ）A. 两圆锥曲线的离心率分别为1e ，2e ，则“121e e <”是“两圆锥曲线均为椭圆”的充要条件B. 命题“若21x =，则1x =.”的否命题为“若21x =，则1x ≠.”C. 若命题“p q ∧”为假命题，则命题“p q ∨”是假命题D. 命题“x R ∀∈，22x x ≥."的否定是“0x R ∃∈，0202x x <.”【答案】D 【解析】 【分析】对于A ，取特值：113e =，232e =，可知A 不正确；对于B ，只否定了结论，没有否定条件，故B 不正确；对于C ，命题p 与命题q 一个为真命题、一个为假命题时，可得命题“p q ∨”是真命题，所以C 不正确；对于D ，根据命题的否定的概念，可知D 正确.【详解】对于A ，若两圆锥曲线均为椭圆，则101e <<，201e <<，所以1201e e <<，所以“121e e <”是“两圆锥曲线均为椭圆”的必要条件，取113e =，232e =满足121e e <，此时一个圆锥曲线为椭圆，一个圆锥曲线为双曲线，所以“121e e <”不是“两圆锥曲线均为椭圆”的充分条件，故A 不正确；对于B ，命题“若21x =，则1x =.”的否命题为“若21x ≠，则” 1x ≠，故B 不正确； 对于C ，若命题“p q ∧”为假命题，则p 与q 至少有一个为假命题，当p 为假命题， q 为真命题时，“p q ∨”为真命题，故C 不正确；对于D ，命题“x R ∀∈，22x x ≥."的否定是“0x R ∃∈，0202x x <.”是正确的，故D 正确.故选：D.【点睛】本题考查了充要条件，考查了椭圆和双曲线的离心率，考查了命题的真假判断，考查了否命题和命题的否定，属于基础题.6.函数2()cos ()x x e e xf x x --=的部分图象大致是（ ）A. B.C. D.【答案】B 【解析】 【分析】先判断函数的奇偶性，然后利用特殊点的函数值的符号进行排除即可. 【详解】由题知,函数()f x 的定义域为(,0)(0,)-∞+∞,关于原点对称,且()()22cos()cos ()()()xx xx e e x e e x f x f x x x------==-=--,所以()f x 是奇函数,所以排除C ,D ;又∵()22cos 11()0ee f e e ππππππππ--⎛⎫==-< ⎪⎝⎭,所以排除A , 故选：B .【点睛】本题主要考查函数图像的判断与识别，结合函数的奇偶性与特殊值的符号进行排除即可解决，属于中等题.7.在ABC ∆中，角A ，B ，C 的对边分别是a ，b ，c ，且)cos cos 0a C c A --＝，则角A 的大小为（ ） A.4π B.3π C.2π D.34π 【答案】A 【解析】 【分析】先利用正弦定理化边为角可得sin cos sin cos cos A C C A B A +=，再进一步化简求出cos A =A ．【详解】∵)cos cos 0a C c A --=，由正弦定理可得sin cos sin cos cos A C C A B A +=，即sin cos B B A =.∵sin 0B ≠，∴cos A =0A π<<，∴4A π=.选A ． 【点睛】本题主要考查正弦定理及三角恒等变换，属中等难度题．8.设m ，n 是两条不同的直线，α，β是两个不同的平面，则下列命题正确的是( ) A. 若//m α，//n α，则//m n B. 若//αβ，m α⊂，n β⊂，则//m nC. 若αβ⊥，m αβ=，n ⊂α，则n β⊥D. 若m α⊥，//m n ，n β⊂，则αβ⊥ 【答案】D 【解析】 【分析】利用线面平行的性质，面面垂直的性质与判定，即可得出结论．【详解】解：由m ，n 是两条不同的直线，α，β是两个不同的平面，知： 在A 中，若//m α，//n α，则m 与n 相交、平行或异面，故A 错误； 在B 中，若//αβ，m α⊂，n β⊂，则m 与n 平行或异面，故B 错误； 在C 中，若αβ⊥，m αβ=，n ⊂α，则n 与β相交、平行或n β⊂，故C 错误；在D 中，若m α⊥，//m n ，n β⊂，则由面面垂直的判断定理得αβ⊥，故D 正确． 故选：D ．【点睛】本题考查命题真假的判断，考查空间中线线、线面、面面间的位置关系等基础知识，考查运算求解能力，属于中档题．9.若实数x ，y 满足约束条件2040250x y x y x y -+≥⎧⎪+-≥⎨⎪--≤⎩，则11y z x -=+的最大值为（ ）A. 1B. 2C. 3D. 4【答案】A 【解析】 【分析】作出约束条件所表示的平面区域，结合图象确定目标函数的最优解，即可求得目标函数的最值，得到答案.【详解】由题意，作出约束条件2040250x y x y x y -+≥⎧⎪+-≥⎨⎪--≤⎩所表示的平面区域，如图所示，又由目标函数11y z x -=+表示可行域内点(,)P x y 与定点(1,1)-的连线的斜率， 因为点(1,1)-恰好在直线20x y -+=上，结合图象，可得当点(,)P x y 在线段AB 时，能使得目标函数11y z x -=+取得最大值， 又由直线20x y -+=的斜率为1，所以最大值为max 1z =. 故选：A.【点睛】本题主要考查了线性规划的应用，其中解答中准确作出约束条件所表示的平面区域，结合图象确定目标函数的最优解是解答的关键，着重考查数形结合思想，以及运算能力. 10.定义在R 上的偶函数()f x 满足()()2f x f x +=，且在[－1，0]上单调递减，设()2.8a f =-，()1.6b f =-，()0.5c f =，则a 、b ，c 大小关系是（）A. a b c >>B. c a b >>C. b c a >>D. a c b >>【答案】D 【解析】 【分析】由()()2f x f x +=可求函数周期2，利用周期及偶函数可转化为在[－1，0]上的函数值，利用单调性比较大小.【详解】∵偶函数()f x 满足()()2f x f x +=，∴函数的周期为2. 由于()()2.80.8a f f =-=-，()()()1.60.40.4b f f f =-==-， ()()0.50.5c f f ==-，0.80.50.4-<-<-.且函数()f x 在[－1，0]上单调递减，∴a c b >>.【点睛】本题主要考查了函数的周期性，单调性及偶函数的性质，属于中档题.11.已知双曲线2222:1(0,0)x y E a b a b -=>>的左、右焦点分别为12,F F ,126,F F P =是E 右支上的一点，1PF 与y 轴交于点A ，2PAF ∆的内切圆在边2AF 上的切点为Q ，若AQ =则E 的离心率是( )A.【答案】C 【解析】 【分析】由双曲线的定义和内切圆的切线性质，圆外一点向圆引切线，则切线长相等，结合离心率公式即可得到所求的值【详解】设2PAF ∆的内切圆在边2PF 上的切点为M ，在AP 上的切点为N则PM PN =，AQ AN ==22QF MF =由双曲线的对称性可得：1222AF AF AQ QF QF ==+=由双曲线的定义可得121222PF PF PA AF PM MF QF AN NP PM MF -=+--=++--2a ==解得a =又126F F =，即有3c =则离心率ce a== 故选C【点睛】本题考查了双曲线的离心率，结合了三角形内切球，由切线长定理和双曲线定义求出a 的值是本题的关键，综合性较强 12.已知函数33()1xf x x e =++，其导函数为()f x '，则()()()()2020202020192019f f f f ''+-+-- 的值为（ ）A. 1B. 2C. 3D. 4【答案】C 【解析】 【分析】首先根据题意得到()()3f x f x -+=，()f x '为偶函数，再计算()()()()2020202020192019f f f f ''+-+--即可.【详解】因为33()1x f x x e =++，()333()131x xx f x x e x ee --=+-=-++， 所以()()3f x f x -+=.又因223()3(1)xx e f x x e -'=++， ()222233()33(1)()(1)x x x x e e f x x f x x e e ----'-=+-=+'=++ 所以()f x '为偶函数.所以(2020)(2020)(2019)(2019)3f f f f ''+-+--=. 故选：C【点睛】本题主要考查求导公式，同时考查了函数的奇偶性，属于简单题. 二、填空题（本大题共4小题，每小题5分，共20分） 13.已知向量()1,3a =，3,1b 则向量a 在向量b 方向上的投影为____________.【解析】 【分析】根据||||cos a b a b a ⋅=<，b >，得a 在b 上的投影为||cos a a <，||a bb b ⋅>=，求出a b ⋅，代入投影的公式计算即可．【详解】向量()1,3a =，3,1b，∴3+323a b ⋅==，||2b =，∴a 在b 方向上的投影为||cos a a <，2332||a b b b ⋅>===．故答案为：3．【点睛】本题考查平面向量数量积的坐标运算及几何意义，属于基础题．14.函数f(x)＝x 3＋3ax 2＋3(a ＋2)x ＋1有极大值又有极小值，则a 的范围是 ． 【答案】【解析】 【分析】将原问题转化为二次函数有两个不相等的实数根的问题，然后求解a 的取值范围即可. 【详解】由题意可得：()()2'3632f x x ax a =+++，若函数有极大值又有极小值，则一元二次方程()236320x ax a +++=有两个不同的实数根，即：()()2643320a a ∆=-⨯⨯+>，整理可得：整理可得：()()36120a a +->，据此可知a 的取值范围是2a >或1a <-.【点睛】(1)可导函数y ＝f (x )在点x 0处取得极值的充要条件是f ′(x 0)＝0，且在x 0左侧与右侧f ′(x )的符号不同．(2)若f (x )在(a ，b )内有极值，那么f (x )在(a ，b )内绝不是单调函数，即在某区间上单调增或减的函数没有极值． 15.已知函数()3cos (0)f x x x ωωω=+>，其图象与直线2y =的两个相邻交点的距离等于π，则()f x 的单调递增区间为______________． 【答案】,?36k k ππππ⎡⎤-+⎢⎥⎣⎦【解析】函数()3cos 2sin 6f x x x x πωωω⎛⎫=+=+⎪⎝⎭，因为()y f x =的图象与直线2y =的两个相邻交点的距离等于π，函数的周期T π=，所以2ω=，所以()2sin26f x x π=+（），因为222,262k x k k Z πππππ-≤+≤+∈，解得[]36x k k ππππ∈-+，，k Z ∈，即函数的单调增区间为[]36k k k Z ππππ-+∈，，，故答案为[]36k k k Z ππππ-+∈，，. 16.已知抛物线方程24y x =，F 为焦点，P 为抛物线准线上一点，Q 为线段PF 与抛物线的交点，定义：||()||PF d P FQ =.已知点(P -，则()d P =______；设点(1,)(0)P t t ->，则2()||d P PF -的值为____. 【答案】 (1). 4 (2). 2 【解析】 【分析】（1）根据直线PF的方程1)y x =--，求出点1(2Q ，再利用焦半径公式，即可得答案；（2）根据||2()||22||||PQ d P PF PF FQ -=+-，再利用抛物线的定义，即可得答案； 【详解】（1）(P -，(1,0)F ，∴||6PF =，∴直线PF的方程为1)y x =--，与24y x =联立得：22520x x -+=，解得：12x =或2x =，∴1(2Q ，∴||6()41||12PF d P FQ ===+； （2）设准线与x 轴的交点为M ，QN PM ⊥于N ，∴||||||||2()||2||2||22||||||||PF PQ QF PQ d P PF PF PF PF FQ FQ FQ +-=-=-=+- ||||22||22||22||PQ PF PF PF NQ =+-=+-=， 故答案为：4,2.【点睛】本题考查抛物线中线段比例的新定义题、抛物线的焦半径，考查函数与方程思想、转化与化归思想、数形结合思想，考查逻辑推理能力、运算求解能力.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.设等差数列{}n a 的前n 项的和为n S ，且462S =-，675S =-，求： （1）求{}n a 的通项公式n a ； （2）求数列{}n a 的前14项和. 【答案】（1）323n a n =-；（2）147. 【解析】 【分析】（1）由已知条件列出关于1,a d 的方程组，求出1,a d 可得到n a ；（2）由通项公式n a 先判断数列{}n a 中项的正负，然后再化简数列{}n a 中的项，即可求出结果.【详解】解：（1）设等差数列{}n a 的公差为d ，依题意得11434622656752a d a d ⨯⎧+=-⎪⎪⎨⨯⎪+=-⎪⎩，解得120,3a d =-=，∴()2013323n a n n =-+-⨯=-； （2）∵323n a n =-，∴由0n a <得8n <，22(20323)3433432222n n n n n S n n -+--===-∴123141278141472a a a a a a a a a S S ++++=----+++=-223433431414772222⎛⎫=⨯-⨯-⨯-⨯ ⎪⎝⎭()()7424372143147=---=.【点睛】此题考查等差数列的基本量计算，考查计算能力，属于基础题.18.某网购平台为了解某市居民在该平台的消费情况，从该市使用其平台且每周平均消费额超过100元的人员中随机抽取了100名，并绘制如图所示频率分布直方图，已知中间三组的人数可构成等差数列.（1）求,m n 的值；（2）分析人员对100名调查对象的性别进行统计发现，消费金额不低于300元的男性有20人，低于300元的男性有25人，根据统计数据完成下列22⨯列联表，并判断是否有99%的把握认为消费金额与性别有关？（3）分析人员对抽取对象每周的消费金额y 与年龄x 进一步分析，发现他们线性相关，得到回归方程ˆ5yx b =-+.已知100名使用者的平均年龄为38岁，试判断一名年龄为25岁的年轻人每周的平均消费金额为多少.（同一组数据用该区间的中点值代替）22⨯列联表男性女性合计300消费金额300<临界值表：22()()()()()n ad bc K a b c d a c b d -=++++，其中n a b c d =+++【答案】（1）0.0035m =，0.0025n =（2）详见解析（3）395元 【解析】 【分析】（1）根据频率分布直方图可得0.006m n +=，结合0.00152m n +=可得,m n 的值. （2）根据表格数据可得28.249K ≈，再根据临界值表可得有99%的把握认为消费金额与性别有关.（3）由频率分布直方图可得调查对象的周平均消费，从而得到520b =，利用线性回归方程可计算年龄为25岁的年轻人每周的平均消费金额.【详解】（1）由频率分布直方图可知，0.010.001520.0010.006m n +=-⨯-=， 由中间三组的人数成等差数列可知0.00152m n +=， 可解得0.0035m =，0.0025n =（2）周平均消费不低于300元的频率为()0.00350.00150.0011000.6++=⨯，因此100人中，周平均消费不低于300元的人数为1000.660⨯=人. 所以22⨯列联表为消费金额30020 40 60 消费金额300<25 15 40 合计455510022100(20152540)8.249 6.63545556040K ⨯-⨯=≈>⨯⨯⨯所以有99%的把握认为消费金额与性别有关. （3）调查对象的周平均消费为0.151500.252500.353500.154500.10550330⨯+⨯+⨯+⨯+⨯=，由题意330538b =-⨯+，∴520b =525520395y =-⨯+=.∴该名年龄为25岁的年轻人每周的平均消费金额为395元.【点睛】（1）频率分布直方图中，各矩形的面积之和为1，注意直方图中，各矩形的高是频率组距； （2）两类变量是否相关，应先计算2K 的值，再与临界值比较后可判断是否相关.（3）线性回归方程对应的直线必经过(),x y .19.如图1，在平行四边形ABCD 中，4=AD ，22AB =，45DAB ∠=︒，E 为边AD 的中点，以BE 为折痕将ABE △折起，使点A 到达P 的位置，得到图2几何体P EBCD -．（1）证明：PD BE ⊥；（2）当BC ⊥平面PEB 时，求三棱锥C PBD -的体积．【答案】（1）证明见解析；（2）83． 【解析】 【分析】（1）由已知条件和勾股定理可得EB AD ⊥，根据折叠的不变性可得EB PE ⊥，EB ED ⊥，由线面垂直的判定和性质可得证；（2）由线面垂直的性质可得出PE ⊥平面BCD ，PE 就是三棱锥P CBD -的高，再运用等体积法可得出三棱锥的体积.【详解】（1）依题意，在ABE △中（图1），2AE =，AB =45EAB ∠=︒，由余弦定理得2222cos 45EB AB AE AB AE =+-⋅⋅︒842242=+-⨯⨯=， ∴222AB AE EB =+，即在平行四边形ABCD 中，EB AD ⊥． 以BE 为折痕将ABE △折起，由翻折不变性得， 在几何体P EBCD -中，EB PE ⊥，EB ED ⊥．又ED PE E =，∴BE ⊥平面PED ，又BE ⊂平面PEB ，∴PD BE ⊥．（2）∵BC ⊥平面PEB ，PE ⊂平面PEB ，∴BC PE ⊥．由（1）得EB PE ⊥，同理可得PE ⊥平面BCE ，即PE ⊥平面BCD ，PE 就是三棱锥P CBD -的高．又45DCB DAB ∠=∠=︒，4BC AD ==，CD AB ==2PE AE ==，∴11sin 454422CBD S BC CD =⨯⨯⨯︒=⨯⨯=△， 11842333C PBD P CBD BCD V V S PE --==⨯=⨯⨯=△，因此，三棱锥C PBD -的体积为83． 【点睛】本题考查由平面图形折叠成空间几何体中的线面关系，以及三棱锥的体积的求解，属于中档题.20.已知椭圆E 的左右焦点分别是1(F 、2F ，且经过点2M ⎭. （1）求椭圆E 的标准方程：（2）设AC ，BD 是过椭圆E 的中心且相互垂直的椭圆E 的两条弦，问是否存在定圆G ，使得G为四边形ABCD 的内切圆?若存在，求圆G 的方程，若不存在，请说明理由.【答案】（1）2214x y +=；（2）存在，2245x y +=. 【解析】 【分析】（1）根据椭圆的定义，求出,,a b c ，得到椭圆的标准方程； （2）先分析BC 与x 轴垂直时，得到圆2245x y +=为四边形ABCD 的内切圆，再当BC 与x 轴不垂直时，设BC 的方程为y kx m =+，与椭圆联立，得到根与系数的关系，再由OB OC ⊥，得到,m k 的关系式，再分析原点O 到BC 的距离d ，再理可得，O 到直线AB ，直线CD ，直线AD ，知存在定圆G ，使得G 为四边形ABCD 的内切圆，并求得内切圆的方程.【详解】（1）设椭圆E 的标准方程是2221(0)x y a b a b+=>>，由椭圆的定义可知，12|2MF MF a +=，所以2a =所以2a =，因为c =，所以1b =，故椭圆E 的标准方程为2214x y +=.（2）若BC 与x 轴垂直，则AB 与x 轴平行，此时四边形ABCD 为正方形，||||5x y ==，所以圆2245x y +=为四边形ABCD 的内切圆.若BC 与x 轴不垂直，则AB 与x 轴不平行，设直线BC 的斜率为k ，直线BC 的方程为y kx m =+，与椭圆E 的交点为()()1122,,,B x y C x y ，由2244y kx mx y =+⎧⎨+=⎩，得222(14)8440k x kmx m +++-=，所以122814km x x k +=-+，21224414m x x k-=+， 因为OB OC ⊥，所以12120x x y y +=， 即()()22121210kx xmk x x m ++++=， ()22222448101414m kmk mk m k k-+-⋅+=++， 所以22544m k =+， 圆心O 到直线BC的距离为d ， 同理可证圆心O 到直线AB ，直线CD ，直线AD， 所以四边形ABCD 的内切圆G 的方程为2245x y +=; 综上所述，存在定圆G ，使得G 为四边形ABCD 的内切圆， 内切圆的方程为2245x y +=. 【点睛】本题考查了椭圆定义求椭圆的标准方程，直线与椭圆的位置关系，点到直线的距离，还考查了设而不解，联立方程组，根与每每的关系等基本技巧，考查了学生的逻辑推理、直观想象与数学运算等数学核心素养，难度较大.21.已知函数2()1xe f x ax bx =++，其中0a >，b R ∈，e 为自然对数的底数.(1)若1b =，且当0x ≥时，()1f x ≥总成立，求实数a 的取值范围；(2)若0b =，且()f x 存在两个极值点1x ，2x ，求证：2121()()2e f x f x ++<【答案】(1) 102a <≤；(2)见解析. 【解析】 【分析】(1)由已知可得2212()()(1)x ae ax x af x ax x -⋅⋅+'=++ ，只需对21a a -与0的大小关系分类讨论，确定函数的单调性，从而确定函数()f x 的最小值，即可求出实数a 的取值范围；(2)根据1x ，2x 是()0f x '=的根，可得1x 与2x 的关系及其范围，进而可将12()()f x f x +用含有1x 的式子表示，构造函数即可证出.【详解】(1)若1b =，则2()1xe f x ax x =++，所以2222222212()(1)(21)[(12)]()(1)(1)(1)x xxxae ax x e ax x e ax e ax a x af x ax x ax x ax x -⋅⋅+++-++-'===++++++， 因为0a >，0x ≥， 所以当120a a-≥，即102a <≤时，()0f x '≥，所以函数()f x 在[0,+)∞上单调递增，所以min ()(0)11f x f ==≥，符合题意；当120a a -<，即12a >时，21(0,)a x a -∈时，()0f x '<；21(,)a x a -∈+∞时，()0f x '>， 所以函数()f x 在21(0,)a a -上单调递减，在21(,)a a-+∞上单调递增， 所以min ()(0)1f x f <=，不符合题意， 综上：实数a 的取值范围为102a <≤. (2) 若0b =，则2()1xe f x ax =+，所以222222(1)2(21)()(1)(1)x x x e ax e ax e ax ax f x ax ax +-⋅-+'==++， 因为()f x 存在两个极值点，所以2440a a ->，所以1a >， 令()0f x '=，得2210ax ax -+=， 所以12,x x 是方程2210ax ax -+=的两个根， 所以122x x +=，121(0,1)x x a=∈，且21112ax ax +=，22212ax ax +=， 不妨设12x x <，则12012x x <<<<，所以12121212221212121()()11222x x x x x x e e e e e e f x f x ax ax ax ax a x x ⎛⎫+=+=+=+ ⎪++⎝⎭121211221211112111()[(2)]222x x x x x x x e x e x e x e x e x e a x x -+=⋅=+=-+， 令2()(2)(01)xxh x x e xex -=-+<<，所以222()(2)(1)()0xxxx x x h x e x e e xe x e e ---'=-+-+-=-+>，所以()h x 在(0,1)上单调递增，所以()(1)2h x h e <=，所以12()()f x f x e +<，又212e e +<，所以2121()()2e f x f x ++<.【点睛】本题主要考查导数的综合应用，考查函数的单调性、最值问题，考查学生分析问题解决问题的能力，属于中档题.22.己知在平面直角坐标系xOy 中，曲线C 的参数方程为222111x t t y t ⎧=-+⎪⎪-⎨⎪=⎪-⎩（t 为参数）.以原点O 为极点，x 轴正半轴为极轴建立极坐标系，直线l的极坐标方程为cos 34πρθ⎛⎫+= ⎪⎝⎭. （1）求曲线C 和直线l 的直角坐标方程；（2）若直线l 交曲线C 于A ，B 两点，交x 轴于点P ，求11PA PB+的值. 【答案】（1）C ：()22411x y x -=≠-；l：12x y -=（2）8. 【解析】 【分析】直接利用转换关系，把参数方程、极坐标方程化为直角坐标方程. 将直线的参数方程与双曲线的方程联立，利用参数的几何意义得出答案.【详解】解：（1）曲线C 的参数方程为222111x t t y t ⎧=-+⎪⎪-⎨⎪=⎪-⎩（t 为参数），转化为直角坐标方程为()22411x y x -=≠-， 直线l的极坐标方程cos 3πρθ⎛⎫+= ⎪⎝⎭直角坐标方程为：12x y -=（2）由于直线与x轴的交点坐标为2⎛⎫ ⎪ ⎪⎝⎭，所以直线的参数方程为12x y t ⎧=+⎪⎪⎨⎪=⎪⎩(t 为参数)， 代入2241x y -=得到：210t --=，所以：12t t +=121t t ⋅=-， 则：1212118t t PA PB t t -+===.【点睛】本题考查参数方程、极坐标方程与直角坐标方程之间的转换，同时考查直线参数的意义，考查了学生的运算能力和转换能力，属于基础题.23.已知a ，b ，c 均为正实数，求证：（1）()2()4a b ab c abc ++≥；（2）若3ab c ++=≤.【答案】证明过程详见解析【解析】【分析】⑴将求证的不等式进行化简，经历移项、提取公因式、配方后，要证明其成立只需要证明化简后的不等式成立 123222a a +++≤=，同理可得另外两个也是成立，结合已知条件即可求证结果【详解】证明：(1)要证()()24a b ab cabc ++≥，可证222240a b ac ab bc abc +++-≥，需证()()2222b 220a c ac a c b bc +-++-≥， 即证()()220b a c a c b -+-≥，当且仅当a b c ==时，取等号，由已知，上式显然成立， 故不等式()()24a b ab c abc ++≥成立．(2)因为,,a b c 均为正实数，123222a a +++≤=，当且仅当12a +=时，取等号， 123222b b +++≤=当且仅当12b +=时 ，取等号，123222c c +++≤=当且仅当12c +=时，取等号，62a b c d +++≤=≤1a b c ===时，取等号．【点睛】本题考查了不等式的证明问题，在求解过程中可以运用基本不等式、对要证明的不等式进行化简等方法来求证，关键是要灵活运用基本不等式等方法求证结果．。
2020年四川省成都市实验外国语学校高考数学模拟(三)试题(含解析)
2020年四川省成都市实验外国语学校高考数学模拟（三）试题一、单选题1．已知集合{}1,2,3,4,5A =，集合{}1,2,3B =，则AB =（ ） A ．∅ B ．{}1,2,3C ．{}1,2,3,4,5D ．{}4,5 2．若复z 满足(2)23i z i ⋅+=-+（i 是虚数单位），则z 的虚部为（ ）A ．iB ．2iC ．1D ．23．已知命题p :若>b a 则22b a >；命题q :在ABC ∆中，若A >B 则sinA >sinB ，下列命题为真命题的是( )A ．p q ∧B ．p q ⌝∧C ．p q ∧⌝D ．p q ⌝∧⌝4．已知函数()y f x =在()0+∞，上非负且可导，满足，()()21xf x f x x x +≤-+-',若0a b <<,则下列结论正确的是( )A ．()()af b bf a ≤B ．()()af b bf a ≥C ．()()af a f b ≤D ．()()bf b f a ≤ 5．已知一个射手每次击中目标的概率为35p =，他在四次射击中命中两次的概率为（ ） A ．36625 B ．216625 C ．96625 D ．246256．若双曲线22221(0,0)x y a b a b-=>>与直线y =有交点，则其离心率的取值范围是（ ） A ．()1,2 B ．(]1.2 C ．()2,+∞ D ．[)2,+∞ 7．甲、乙两人准备在一段长为1200 m 的笔直公路上进行跑步，甲、乙跑步的速度分别为4 m/s 和6 m/s ，起跑前乙在起点，甲在乙前面100 m 处，若同时起跑，则两人从起跑至其中一人先到达终点的过程中，甲、乙之间的距离()m y 与时间()s t 的函数图像是（ ）A ．B ．C ．D ．8．8的展开式中常数项为( ) A ．105 B ．358 C ．3516 D ．3549．函数33y x x =-的极大值为m ，极小值为n ，则m n +为( )A ．0B ．1C ．2D ．410．设m ，n 是两条不同的直线，α，β是两个不同的平面，则命题p ：m n ⊥的一个充分条件是（ ）A ．q ：//αβ，m α⊂，n β⊥B ．q ：//αβ，m α⊥，n β⊥C ．q ：αβ⊥，m α⊥，βn//D ．q ：αβ⊥，m α⊂，βn//11．已知β为锐角，角α的终边过点((),2sin αβ+=，则cos β=（ ）A ．12BC D12．已知,,a b c 分别是ABC ∆内角,,A B C 的对边，sin cos a B A =，当4b c +=时，ABC ∆面积的最大值为（ ）A B C D ． 二、填空题13．已知函数()32232x ax f x bx c =+++在区间()0,1内取极大值，在区间()1,2内取极小值，则()223z a b =++的取值范围为______.14．若平面向量1e ，2e 满足11232e e e =+=，则1e 在2e 方向上投影的最大值是________． 15．已知函数()sin()f x A x B ωϕ=++，其中A 、B 、ω、ϕ均为实数，且0A >，0>ω， ||2πϕ<，写出满足(1)2f =，1(2)2f =，(3)1f =-，(4)2f =的一个函数()f x =________（写出一个即可）三、解答题16．设函数21()ln .2f x x ax bx =-- 当3,2a b ==时，求函数()f x 的单调区间；令21()()(03)2a F x f x ax bx x x =+++<≤其图象上任意一点处切线的斜率18≤k 恒成立，求实数a 的取值范围；当0a b 时，令1()(),()H x f x G x mx x=-=若()H x 与()G x 的图象有两个交点1122(,),(,)A x y B x y ,求证：2122x x e >17．在直角坐标系xOy 中，以坐标原点O 为极点，x 轴正半轴为极轴，取与直角坐标系相同的长度单位建立极坐标系.曲线1C 的参数方程为cos sin x a y φφ=⎧⎨=⎩，（φ为参数），曲线2C 的极坐标方程为()04πθρ=≥，且1C 与2C .（1）求曲线1C 的普通方程.（2）设A B ，为曲线1C 与y 轴的两个交点，M 为曲线1C 上不同于A B ，的任意一点，若直线AM 与MB 分别与x 交于P Q ，两点，求证：OP PQ ⋅为定值.18．如图，已知四棱锥P ABCD -的底面是等腰梯形，//AD BC ，2AD =，4BC =，60ABC ∠=︒，PAD △为等边三角形，且点P 在底面ABCD 上的射影为AD 的中点G ，点E 在线段BC 上，且:1:3CE EB =.（1）求证：DE ⊥平面PAD .（2）求二面角A PC D --的余弦值.19．“双十二”是继“双十一”之后的又一个网购狂欢节，为了刺激“双十二”的消费，某电子商务公司决定对“双十一”的网购者发放电子优惠券.为此，公司从“双十一”的网购消费者中用随机抽样的方法抽取了100人，将其购物金额（单位：万元）按照[0.1,0.2)，[0.2,0.3),,[0.9,1]分组，得到如下频率分布直方图：根据调查，该电子商务公司制定了发放电子优惠券的办法如下：（1）求购物者获得电子优惠券金额的平均数；（2）从购物者中随机抽取10人，这10人中获得电子优惠券的人数为X ，求X 的数学期望. 20．已知正数,,a b c 满足3a b c ++=.（Ⅰ）若221a b +=，求c 的取值范围；（Ⅱ）求证：3bc ac ab a b c++≥. 21．已知数列{}n a 中148,2a a ==，且满足212n n n a a a +++=.(1) 求数列{}n a 的通项公式；(2) 设n S是数列{}n a的前n项和，求n S.22．已知以点C为圆心的圆经过点A(－1,0)和B(3,4)，且圆心在直线x＋3y－15＝0上．设点P在圆C上，求△P AB的面积的最大值．四、双空题23．直线l过抛物线C：y2＝4x的焦点F且与C交于A（x1，y1），B（x2，y2）两点，则y1y2＝_____．过A，B两点分别作抛物线C的准线的垂线，垂足分别为P，Q，准线与x轴的交点为M，四边形F APM 的面积记为S1，四边形FBQM的面积记为S2，则S1•S2﹣3|AF|•|BF|＝_____．【答案与解析】1．B直接根据交集的运算得出结果.解：由已知得{}1,2,3AB =， 故选：B.本题考查交集的运算，是基础题.2．D根据复数除法的运算法则，求出z ，即可得出结论.∵223i z i i ⋅+=-+，∴212i z i i-+==+， ∴z 的虚部为2．故选：D .本题考查复数的代数运算及复数的基本概念，属于基础题．3．B举反例得到命题p 为假命题，根据正弦定理得到命题q 为真命题，判断选项得到答案.命题p ：若>b a 则22b a >，取0,2b a ==-，22b a >不成立，故为假命题；命题q ：在ABC ∆中，若A >B ，则a b >，根据正弦定理则：sinA >sinB ，故为真命题；故p q ⌝∧为真命题.故选：B .本题考查了命题的真假判断，意在考查学生的综合应用能力.4．A因为()()21xf x f x x x +≤-+-'()'0,xf x ⎡⎤∴<∴⎣⎦函数()()F x xf x =在()0,∞+上递减，又0a b <<且()f x 非负，于是有()()0af a bf b >≥，① 22110a b >>， ② ①②两式相乘得()()()()0f a f b af b bf a ab >≥→<，根据“或”命题成立的条件可得()()af b bf a ≤成立，故选A. 【方法点睛】本题主要考查抽象函数的单调性以及函数的求导法则，属于难题.求解这类问题一定要耐心读题、读懂题，通过对问题的条件和结论进行类比、联想、抽象、概括，准确构造出符合题意的函数是解题的关键；解这类不等式的关键点也是难点就是构造合适的函数，构造函数时往往从两方面着手：①根据导函数的“形状”变换不等式“形状”；②若是选择题，可根据选项的共性归纳构造恰当的函数.本题通过观察四个选项，联想到函数()()F x xf x =，再结合条件判断出其单调性，进而得出正确结论.5．B命中次数X 服从二项分布34,5B ⎛⎫ ⎪⎝⎭， 所以在四次射击中命中两次的概率为222432216()()55625P C ==.故选B. 点睛：判断一个随机变量是否服从二项分布，要看两点：①是否为n 次独立重复试验，在每次试验中事件A 发生的概率是否均为p ；②随机变量是否为在这n 次独立重复试验中某事件发生的次数，且()()1n k k k n p X k C p p -==-表示在独立重复试验中，事件A 恰好发生k 次的概率．6．C双曲线的焦点在x 轴，一条渐近线方程为b y x a=，只需这条渐近线比直线y =的斜率大，即2b e a >=>，故选C. 7．C设 s t 时，甲、乙两人距离起点分别是1 m s 和2 m s ，得到1s ，2s 的函数关系式，由函数解析式求出甲乙达到终点的时间以及相遇时间，从而判断图像。
四川省成都市实验外国语学校2020届高三(高2017级)数学模拟(三)理试卷及答案解析
四川省成都市实验外国语学校2020届高三（高2017级）数学模拟（三）理试卷注意事项：1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上第I 卷（选择题）一、选择题1.已知集合}|A x y x Z ==∈，{}2|1,B y y x x A ==+∈，则AB 为（ ）A.∅B.[)0,+∞C.{}1D.(){}0,12.若复数z 满足()1i z i +=，则z 的虚部为（ ）A.1-B.2-C.i -D.2i -3.在平面直角坐标系xOy 中，已知角α的顶点在坐标原点，始边与x 轴正半轴重合，终边经过点P ，则cos2=α（ ）A.3B.13C.13-D.3-4.(√x3−1x)n 的展开式中只有第5项的二项式系数最大，则展开式中的常数项是( )A. 28B. −28C. 70D. −70 5.下列判断正确的是（ ）A.两圆锥曲线的离心率分别为1e ，2e ，则“121e e <”是“两圆锥曲线均为椭圆”的充要条件B.命题“若21x =，则1x =.”的否命题为“若21x =，则1x ≠.”C.若命题“p q ∧”为假命题，则命题“p q ∨”是假命题D.命题“x R ∀∈，22x x ≥."的否定是“0x R ∃∈，0202x x <.”6.函数()2()cos --=x x e e xf x x的部分图象大致是（ ）A. B.C. D.7.在ABC ∆中，角A ，B ，C 的对边分别是a ，b ，c ，且)cos cos 0a C c A --＝，则角A 的大小为（ ） A.4π B.3π C.2π D.34π 8.设m ，n 是两条不同的直线，α，β是两个不同的平面，则下列命题正确的是( ) A.若//m α，//n α，则//m n B.若//αβ，m α⊂，n β⊂，则//m nC.若αβ⊥，m αβ=，n ⊂α，则n β⊥ D.若m α⊥，//m n ，n β⊂，则αβ⊥9.设随机变量X ， Y 满足： 31Y X =-， ()2,X B p ~，若()519P X ≥=，则()D Y =（ ）A. 4B. 5C. 6D. 710.已知函数()f x 是定义在R 上的偶函数，当0x ≥时，()xf x e x =+，则()2a f =-，()2log 9b f =，c f=的大小关系为（ ）A. a b c >>B. a c b >>C. b a c >>D. b c a >>11.已知双曲线2222:10,0)x y C a b a b-=>>（的左、右顶点分别为A B 、.点F 为双曲线的左焦点，过点F 作垂直于x 轴的直线分别在第二、第三象限交双曲线C 于P 、Q 两点,连接PB 交y 轴于点E ,连接AE 交QF 于点M ,且2QM MF =,则双曲线C 的离心率为( ）2 C.3 D. 512.若()1212,x x x x <为函数()f x 相邻的两个极值点，且在1x ，2x 处分别取得极小值和极大值，则定义()()12f x f x -为函数()f x 的一个极优差，函数()()sin cos 20202x f x e x x x ππ⎛⎫=--≤≤ ⎪⎝⎭的所有极优差之和为（ ）A.()2020211e e eπππ--B.202111e e ππ--- C.2020211e e ππ---D.202011e e ππ---第II 卷（非选择题）二、填空题（题型注释）13.已知向量()1,3a =，3,1b则向量a 在向量b 方向上的投影为____________.14.函数f(x)＝x 3＋3ax 2＋3(a ＋2)x ＋1有极大值又有极小值，则a 的范围是 。
2020届成都市实验中学高三英语三模试题及答案
2020届成都市实验中学高三英语三模试题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AChildren under the age of 18 will be allowed up to three hours per week to play video games, according to a notice issued by China's National Press and Publication Administration. Online game companies are required to provide services to minors — from8 to 9 p. m. on Fridays, Saturdays, Sundays and legal holidays — as a way to safeguard their physical and mental health. Children are playing more and more online games these days. Is it time to limit their online gaming time? What role do parents have? Readers share their opinions.RizlaredOnline games are addictive, but if children are taught how to manage in a sensible and responsible manner then it is no longer a threat(威胁).To achieve this, parents need to set examples for not being glued to their phones. Teaching is and always will be the best solution to such problems.AndrewGood policy. By limiting time spent on online games, kids can spend time doing more useful things to develop their potential. They can go outside and run, jump and swim instead of sitting on a couch at home and playing with a smart phone.AdamIt is often seen that parents argue with children over cellphones. Most parents can hardly set and enforce the time limit for its daily usage. Some forcibly take away their cellphones, but it will ruin trust and relationship. Even worse, it will make their kids hate them.PinkExcessive(过度的）gaming is purely a waste of time and energy for minors and has a negative effect on both physical and mental health. The gaming industry should not put profit- flaking interests as its priority (优先事项) . They should act in a socially responsible way toprovide an environment for children to ensure their well-being and development.LaurenThere would be a loophole(漏洞). Children could use their parents’ or other adults’ IDs to avoid real-name registration, thus making it impossible to put this policy in effect. Parents ly need to strengthen guidance andsupervision to keep their children from gaming addiction.1. What should kids do according to Andrew?A. Play online games.B. Play with a smart phone.C. Study all the time.D. Go in for outside activities.2. What does Pink advise the gaming industry to do?A. Pay attention to its profit.B. Focus on kids’ health.C. Be responsible for kids’ surroundings.D. Persuade kids lo play more games.3. What role do parents have according to the passage?A. They keep hold of their phones.B. They set examples for their kids.C. They limit their kids’ time.D. They blame kids for addiction.BI started out in life with few advantages. I didn't graduate from high school. I worked at menial (不体面的) jobs. I had limited education, limited skills and a limited future.And then I began asking, "Why are some people more successful than others?" This question changed my life.Over the years, I have read thousands of books and articles on the subjects of success and achievement(成就). It seems that the reasons have been discussed and written about for more than two thousand years, in every possible way. One quality that most philosophers, teachers and experts agree on is the importance of self-discipline (自律). As Al Tomsik summarized it years ago, "Success is tons of discipline."Some years ago, I attended a conference in Washington. It was the lunch break and I was eating at a nearby food fair. The area was crowded and I sat down at the last open table by myself, even though it was a table for four.A few minutes later, an older gentleman and a younger woman who was his assistant came along carrying trays of food, obviously looking for a place to sit. With plenty of room at my table, I immediately invited the older gentleman to join me. He was hesitant (犹豫), but I insisted. Finally, thanking me as he sat down, we began to chat over lunch.It turned out that his name was Kop Kopmeyer. As it happened, I immediately knew who he was. He was a legend in the field of success and achievement. Kop Kopmeyer had written four large books, each of which contained 250 success principles that he had obtained from more than fifty years of research and study. I had read all four books from cover to cover, more than once.After we had chatted for a while, I asked him the question that many people in this situation would ask, "Of all the one thousand success principles that you have discovered, which do you think is the most important?”He smiled at me, as if he had been asked this question many times, and replied, without hesitating, "The most important success principle of all was stated by Thomas Huxley many years ago. He said, 'Do what you should do, when you should do it, whether you feel like it or not.'"He went on to say, "There are 999 other success principles that I have found in my reading and experience, but without self-discipline, none of them work."4. Why did the writer ask the question in Paragraph 2 ?A. Because he wasn't satisfied with himself.B. Because he was a person of self-discipline.C. Because he dislike those successful people.D. Because he wanted to share his idea on success.5. What made the writer invite the older gentleman to join him ?A. His great kindness.B. The gentleman's fame.C. His eagerness for success.D. The gentleman's habit.6. What are the four large books about ?A. Personal changesB. The secret of successC. Sayings of wisdomD. The gentleman's manners.7. What's the best title for the text ?A. The Magic of ReadingB. An Unexpected ConversationC. A Question that Changed MyLifeD. The Power of Self-disciplineCMy 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. Some companies 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.DItzhak Perlman was born in Tel Aviv, in whatwas thenPalestine, in 1945. Today he lives inNew York City. But his music has made him a citizen of the world. He has played in almost every major city. He has won many Grammy awards for his recordings. He has also won Emmy Awards for his work on television.Itzhak Perlman suffered from polio (小儿麻痹症) at the age of four. The disease damaged his legs. He uses a wheelchair or walks with the aid of crutches (拐杖) on his arms. But none of this stopped him from playing the violin. He began as a young child. He took his first lessons at the Music Academy of Tel Aviv. Very quickly, his teachers recognized that he had a special gift.At thirteen he went to the United Sates to appear on television. His playing earned him the financial aid toattend theJuilliardSchoolinNew York. In 1964 Itzhak Perlman won the Leventritt Competition in that city. His international fame had begun.His music is full of power and strength. It can be sad or joyful, loud or soft. But critics (评论家) say it is not the music alone that makes his playing so special. They say he is able to communicate the joy he feels in playing, and the emotions that great music can deliver.Anyone who has attended a performance by Itzhak Perlman will tell you thatit is exciting to watch him play. His face changes as the music from his violin changes. He looks sad when the music seems sad. He smiles and closes his eyes when the music is light and happy. He often looks dark and threatening when the music seems dark and threatening.12. According to the passage, what do we know about Itzhak Perlman?A. He is 75 years old today.B. He was born inNew York City.C. He has some achievements in music.D. He was a rich citizen of the world.13. When Itzhak Perlman first learned music, his teachers ________.A. ignored his talentsB. thought he was fit to learn musicC. had pity on himD. didn't want to accept him14. What makes Itzhak Perlman's playing special according to critics?A. The emotions he communicates in his playing.B. The style in which he plays his music.C. The kind of music he plays.D. The power and strength in his music.15. How do people feel when they hear Itzhak Perlman play?A. Moved.B. Calm.C. Funny.D. Excited.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。
2020年成都市实验中学高三英语三模试卷及答案解析
2020年成都市实验中学高三英语三模试卷及答案解析第一部分阅读（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AAs the MOOC craze continues to explode, anyone interested in taking an online course faces a tricky question: Which course to take? Here are five aspects that you should consider before you start.(1)What is your learning style?Many MOOCs are video-based. Other courses use presentation formats. Some also require participation in group work. If you want to stay motivated during your course, think about how you enjoy learning.Are you a visual learner, preferring to use images to understand a topic? If so, a video-based course will work well for you. If you are a verbal learner who gains new information by speaking and writing, try a text-based course with lots of note-taking. Social learners, meanwhile, will thrive in forum discussions and project-based assessment.(2)Are you ready to become a full-time student?Be realistic about the time that you can commit to your online studies. Participating in an online course can take as much time and commitment as a class-based program. Check the course requirements and make a plan around your current schedule.(3) Does the course really meet your needs?Whether you are interested in a professional qualification or want to take a personal development course like yoga, there is a MOOC for you. It's easy to get caught up in the excitement of taking lots of free courses in everything that you ever wanted to learn. Before you start a course, think about the end goal. Is the course aimed at beginners or advanced learners? Why do you need this qualification?(4) Do you need a support group?Some people learn best from seeing how others approach the problem. If you are such as learner, you will need to supplement your online lessons with an in-person support group.(5) What kind of certification will you get?Take time to find out what kind of certification is available upon completion of the course, and how you can prove your learning to others - for example, certificates, transcripts or digital badges.1. What kind of MOOC's does the author recommend to verbal learners?A. A video-based course.B. A text-based course.C. A forum-based discussion.D. A project-based assessment.2. What kind of learners need an in-person support group?A. Learners who prefer individual work.B. Learners who are in great need of a certificate.C. Learners who are too busy to become a full-time student.D. Learners who learn best from observing how others address the problem.3. What is the passage mainly about?A. Picking the right MOOC's for you.B. Deciding your learning style.C. Taking the right course you need.D. Choosing a suitable support group.BSport is not only physically challenging, but can also be mentally challenging. Criticism from coaches, parents and other teammates, as well as pressure to win can create too much anxiety or stress for young athletes. Stress canbe physical, emotional, or psychological and research has indicated that it can lead to burnout. Burnout has been described as dropping or quitting of an activity that was at one time enjoyable.The early years of development are critical years for learning about oneself. The sport setting is one where valuable experiences can take place. Young athletes can, for example, learn how to cooperate with others, make friends, and gain other social skills that will be used throughout their lives. Coaches and parents should be aware, at all times, that their feedback to youngsters can greatly affect their children. Youngsters may take their parents and coaches’ criticisms to heart and find faults in themselves.Coaches and parents should also pay attention that youth sport participation does not become work for children. The outcome of the game should not be more important than the process of learning the sport and other life lessons. In today’s youth sport setting young athletes may be worrying more about who will win instead of enjoying themselves and the sport. Following a game many parents and coaches focus on the outcome and find faults with youngsters’ performances. Positive support should be provided regardless of the outcome. Research indicates that positive support motivates and has a greater effect on learning than criticism. Again, criticism can create high levels of stress, which can lead to burnout.4. An effective way to prevent the burnout of young athletes is_____________.A. to make sport less competitiveB. to increase their sense of successC. to reduce their mental stressD. to make sport more challenging5. According to the passage, sport is positive for young people in that_____________.A. it can help them learn more about societyB. it enables them to find faults in themselvesC. it can provide them with valuable experiencesD. it teaches them how to set realistic goals for themselves6. Many coaches and parents are in the habit of criticizing young athletes_____________.A. believing that criticism does good to their early developmentB. without realizing criticism may destroy their selfconfidenceC. in order to make them remember life’s lessonsD. so as to put more pressure on them7. According to the passage parents and coaches should_____________.A. pay more attention to letting children enjoy sportB. help children to win every gameC. train children to cope with stressD. enable children to understand the positive aspect of sportCI’ve never been the kind of person to say, “it’s the thought that counts” when it comes to gifts. That was until a couple of weeks ago, when my kids gave me a present thatblew me away.For years now, I’ve been wanting to sell our home, the place where my husband and I raised our kids. But to me, this house is much more than just a building.In the front room, there’s a wall that has hundreds of pencil lines, marking the progress of my children’s growth. Every growth stage is marked in grey, with each child’s name and the date they were measured. Of all the objects and all the memories, it’s this one thing in a home that’s the hardest to leave behind. Friends I know have returned home after work only to discover their wall of heights has been freshly painted over. A new paint job wouldn’t normally be greeted by tears, but erasing that evidence of motherhood hurts more than it should. Our kids grow in so many ways, but the wall is physical evidence of their progress, right there for everyone to see. Over the years, I’ve talked about how much I would hate leaving that wall behind when I moved, even though the last marks were made 10 years ago when my kids stopped growing.So one day, while I was at work, my childrendecided to do something about it.They hired Jacquie Manning, a professional photographer whose work is about capturing (捕捉) the beautiful things in life, from clear lakes and skies to diamonds and ballgowns (舞会礼服).She came to our house while I was at work, and over several hours, took photos of the hundreds of drawings and lines, little grey fingerprints (手印), and old marks. Somehow, she managed to photograph all those years of memories perfectly. Afterwards, she put all the photos together into one image, transforming them into a beautiful history of my family.Three weeks later, my children’s wonderful gift made its way to me—a life-size photo of the pencil lines and fingerprints that represents entire lifetimes of love and growth.8. The underlined phrase in Para. I “blew me away” probably means “________”.A. attracted meB. surprised meC. accepted meD. refused me9. What does the house really mean to the author?A. A house.B. Buildings.C. An object.D. Memories.10. What surprised the friends I know after work?A. Finding the wall repainted.B. Erasing the fingerprints.C. Greeting them by tears.D. Leaving the wall unfinished.11. What is the best title for the text?A. Gift Made with LoveB. Buildings Made by ChildrenC. A Very Wonderful PaintingD. A Family HistoryD“Snowplow(扫雪机) parenting” is the newest parenting style that can include parents booking their adult children haircuts, calling their college kids to wake them up so that they don’t sleep through a test, and even calling their kids’ employers.“‘Helicopter (直升机) parenting’ means monitoring their kids’ every activity,which is out of date.” Claire CainMiller and Jonah Engel Bromwich wrote in The New York Times. “Some rich mothers and fathers now are more like snowplows: clearing any problems in their children’s path to success so that they don’t have to meet failure or lose opportunities.”There is a mother who started a charity in her son’s name to try to raise his chances of being accepted to the college. Another parents spent years helping their daughter avoid foods with sauce, which she didn’t like. Once she got to college, she had problems with the food in her school because it was all covered in sauce.A survey says that three-quarters of parents of children between the ages of 18 and 28 ask for doctor visits or haircuts for their children, and 11% say they would call their kids’ bosses whether their children are having an issue at work.As reported, wealthy parents try to get their children into top colleges by giving a large amount of money to a school, such as paying for a building. This parenting has become the most popular way to raise children, whatever the income, education, or race is.Julie, a teacher at Stanford, told the Times that “snowplow parenting” is not a reasonable approach. “The parents should prepare the kid for the road, instead of preparing the road for the kid,” she said.12. How does Julie like “snowplow parenting”?A. It is unreasonable.B. It is advanced.C. It is accepted by teachers.D. It is refused by rich people.13. What is the character of “helicopter parenting”?A. Parents make kids popular.B. Parents provide little money for kids.C. Parents ask kids to care for themselves.D. Parents watch over kids’ every activity.14. What should parents do according to Julie?A. Do as wealthy parents do.B. Make kids be prepared.C. Make roads be prepared.D. Do as little as possible.15. What’s the best title for the text?A. Helicopter Parenting.B. The Similarity in Parenting.C. A Research on Parenting.D. A New Kind of Parenting.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。
2020届成都市实验外国语学校高三生物三模试题及答案
2020届成都市实验外国语学校高三生物三模试题及答案一、选择题：本题共15小题，每小题2分，共30分。
每小题只有一个选项符合题目要求。
1. 在一棵倒伏的朽木上，生长着蕨类、苔藓、真菌、蚂蚁等生物，这些各种生物构成了（）A.种群B.群落C.生态系统D.生物个体2. 下列有关生态系统的说法中，错误的是（）A.“野火烧不尽，春风吹又生”，体现了生态系统的恢复力稳定性B.封山育林、治理沙漠体现了人类活动可以改变群落演替的方向C.湖泊中的群落区别于森林中群落的重要特征是群落的物种组成D.生物多样性的形成过程就是新物种不断形成的过程3. 下列关于细胞生命历程的叙述错误的是（）A.人体造血干细胞分化为各种血细胞的过程是不可逆的B.细胞分化会导致mRNA的种类和数量发生改变C.细胞凋亡的速率与其功能有关，白细胞凋亡的速率比红细胞的慢D.基因的DNA序列受损可导致细胞衰老4. 如图是根据细胞器的相似或不同点来进行分类的，下列选项中不是此图分类依据的是（）A.有无膜结构B.单层膜还是双层膜C.有无色素D.是否普遍存在于动植物细胞中5. 下图是某些细胞器的亚显微结构模式图，相关叙述错误的是（）A.①是中心体，与洋葱根尖细胞有丝分裂有关B.①是线粒体，是真核细胞有氧呼吸的主要场所C.①是叶绿体，是植物叶肉细胞进行光合作用的场所D.①是粗面内质网，是细胞内蛋白质等大分子物质合成、加工场所和运输通道6. 假设控制番茄叶颜色的基因用D、d表示，红色和紫色为一对相对性状，且红色为显性。
杂合的红叶番茄自交获得F1，将F1中表现型为红叶的番茄自交得F2，下列叙述正确的是()A．F2中无性状分离B．F2中性状分离比为3①1C．F2红叶个体中杂合子占2/5 D．在F2中首次出现能稳定遗传的紫叶个体7. 赫尔希和蔡斯分别用35S和32P标记T2噬菌体的蛋白质和DNA，下列被标记的部位组合正确的是（）A. ①①B. ①①C. ①①D. ①①8. 静脉注射时常用生理盐水（0.9%的氯化钠溶液）作为载体，将各种药物输入人体，该过程中生理盐水的功能主要是（）A.运输药物进入细胞B.提供能量C.维持细胞外液的渗透压D.供应水分9. 下列现象中哪种是条件反射（）A. 手触棘刺，立即缩回B. 青杏入口，分泌唾液C. 强光刺眼，瞬即闭目D. 行路人穿过马路时，先看看有无过往车辆10. 如图是核酸的基本组成单位，下列叙述错误的是A.若m为胞嘧啶，则a为核糖或脱氧核糖B.若m为腺嘌呤，则b肯定为腺嘌呤脱氧核苷酸C.若m为尿嘧啶，则DNA中肯定不含b这种化合物D.若m为胸腺嘧啶，则b一定是构成DNA的基本单位11. 细胞核在生命活动中非常重要，下列关于细胞核的叙述，不正确的是（）A. 核仁与蛋白质的合成有关联B. 细胞核是遗传和代谢的控制中心C. 核膜是含有四层磷脂分子的生物膜D. 核膜上有核孔，便于DNA等大分子物质通过12. 与分泌蛋白的合成和分泌过程无关的细胞结构是（）A. 中心体B. 核糖体C. 高尔基体D. 内质网13. 下列有关遗传、变异和进化的叙述，正确的是（）A.血友病、猫叫综合征和先天性愚型都属于染色体异常遗传病B.基因突变可以发生在生物体的任何时期，说明基因突变具有随机性C.基因重组可以产生新的基因组合，是生物变异的根本来源D.大肠杆菌不能发生基因重组，但可以发生基因突变和染色体变异14. 研究表明长期酗酒会影响线粒体中一种关键蛋白Mfnl的功能，从而导致线粒体无法融合、再生及自我修复。
2020年成都实验外国语学校高三语文三模试卷及答案解析
2020年成都实验外国语学校高三语文三模试卷及答案解析一、现代文阅读（36分）(一)现代文阅读I(9分)阅读下面的文字，完成小题。
孔子没有直接提到人之性善或性恶。
《论语》之中，“仁”字出现了66次，没有两个地方解释完全相同。
但是他既说出虽为圣贤，仍要经常警惕才能防范不仁的话，可见他认为性恶来自先天。
他又说“观过，斯知仁矣”，好像这纠正错误，促使自己为善的能力，虽系主动的，但仍要由内外观察而产生。
孟子则没有这样犹疑。
他曾斩钉截铁地说出:“人性之善也，犹水之就下也。
人无有不善，水无有不下。
”孔子自己承认，他一生学习，到70岁才能随心所欲不逾矩。
孟子的自信，则可以由他自已所说“我善养吾浩然之气”的一句话里看出。
这种道德力量，经他解释,纯系内在的由自我产生。
所以他说:“舜何人也，予何人也,有为者亦若是。
”也就是宣示人人都能做圣贤。
孔子对“礼”非常尊重。
孔子虽然称赞管仲对国事有贡献，但仍毫不迟疑地攻击他器用排场超过人臣的限度。
颜渊是孔子的得意门徒，他死时孔子痛哭流涕，然而孔子却根据“礼”的原则反对颜渊厚葬;又因为“礼”的需要，孔子见南子，使子路感到很不高兴。
孔子虽不喜欢阳货的为人，但为了礼尚往来，他仍想趁着阳货不在家的时候去回拜他。
孟子就没有这样的耐性。
齐宣王称病，他也称病。
他见了梁襄王，出来就说:“望之不似人君。
”鲁平公没有来拜访他，他也不去见鲁平公。
他对各国国君的赠仪，或受或不受，全出己意。
他做了齐国的吊丧正使，出使滕国，却始终不对副使谈及出使一事。
这中间的不同，不能说与孔孟二人的个性无关。
或许《论语》与《孟子》两部书的取材记载不同，也有影响。
但是至圣和亚圣，相去约两百年，中国的局势，已起了很大的变化。
孟子说“此一时也，彼一时也”，这八个字正好可以用来说明他们之间的距离。
1.下列关于“人性”的表述，不符合原文意思的一项是（）A.孔子认为性恶来自先天。
B.孔子认为纠正人性之恶要靠后天学习。
C.孟子主张人性本善。
2020年成都实验外国语学校高三英语三模试卷及答案
2020年成都实验外国语学校高三英语三模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ALooking to the future, we are now focusing on next year's tours. We are not presently taking bookings, but if a specific tour lifts your spirits, why not mark your interest and we will contact you when the time is right.JapanOctober 2021A centre for technology with natural beauty, Japan is a must-see destination for science and nature lovers. Join us on a special journey across the country during its fantastic autumn to see its amazing landscapes, visit leading scientific institutions and experience robotics and AI.AntarcticaApril to September 2021Join us aboard the Magellan Explorer for an exciting adventure to South Georgia and the Antarctic Peninsula, exploring the world's largest ocean reserve and best ocean ecosystem. Follow in the footstepsof the great scientists while marveling（惊叹）at icebergs, ancient glaciers and ice flies onto volcanic beaches.ItalyMarch and June 2021Encounter the great scientific minds and discoveries of the Renaissance on a cultural adventure across two of its cities, Florence and Bologna. Enjoy beautiful surroundings as you take in the wonderful collections, buildings and churches that demonstrate the period across architecture and paintings.Czech RepublicMay and July 2021Discover the legacy（遗产）of Kepler and Brahe in Prague, a city where astronomy, maths, medicine and architecture connect. Kepler became the father of modern astronomy supported by the observational data from Brahe.1. What can travelers do in Japan?A. Experience space travel.B. Enjoy its spring landscape.C. Visit its scientific institutions .D. Learn about its traditional culture.2. Which of the following can you choose if you are free in August?A. Japan.B. Italy.C. Antarctica.D. Czech Republic .3. What do Italy and Czech Republic havein common?A. Astronomy.B. Architecture.C. Paintings.D. Medicine .BGerardo Ixcoy is a 27-year-old teacher in Guatemala. He teaches in the area where having electricity is something of a luxury and students have no access to mobile apps or computers, which became a problem when Guatemalan government had to choosedistance education for students at home because of COVID-19 inmid-March.Gerardo Ixcoy felt that he had to teach those children living far from the digital world. After all, education is a universal right. But what was the solution?Gerardo bought himself a secondhand tricycle with his savings. Once he had the tricycle, the next step was to change it into a classroom on wheels. He put a roof with a solar panel（太阳能电池板）on it, along with a screen to avoid the spread of COVID-19. He fixed a whiteboard on it so he could explain to the students the basics of primary education：math, the local language and the national language Spanish.The purpose of the solar panelis to provide constant power for a small loudspeaker so he can teach from a distance. It's a matter of respecting the healthy distance required to be safe from the virus. He, the teacher, stays outside, and the student participates from his or her house.He tries to visit his students at least twice a week, riding his classroom — cycle. The children he serves say that, although he visits them for only a few hours a week, they look forward to it. They appreciate his visit because they know he has limited time he can devote to them. They must take advantage of it to learn.4. What happened to Gerardo Ixcoy's students because of COVID-19?A. They chose to have classes in groups.B. They had to stop all the classes.C. They continued to have classes online.D. They started to learn about computers.5. Why does the teacher stay from a distance while teaching?A. Because healthy distance is reqired.B. Because he doesn't want to see his students.C. Because he wants to show his authority.D. Because the local custom reqiries him to.6. Where did Gerardo Ixcoy teach his students?A. In his own house.B. In his student's house.C. On the school playground.D. Outside his student's house.7. What can be the best title of the story?A. Love breaks down barriers.B. Hard work pays off.C. Time is money.D. Education is the key to success.CWhen visitors enter Planet Word, a new museum in Washington, D. C , they will see Speaking Willow, a tall art piece representing a tree. As they pass under the artwork, they can hear recordings of speech in hundreds of languages coming from the tree. Most words sound foreign to the listeners. The different voices also speak at the same time. The resultingclamoris similar to that made in a crowded theater before a show begins.Rafael Lozano-Hemmer completed the piece last year. On his website, the artist says that Speaking Willow “reminds us that language is what defines our specific communities and connects our many cultures.” Lozano-Hemmer made the piece specially for the museum.It is the first of many immersive (身临其境的) experiences for visitors at Planet Word, a museum all about words and language. The exhibits playfully explore the lager and complex subject of language.In one room, a video plays, showing babies saying their first words. Another room, called “Where Do Words Come From”, teaches the history of some common English words. The space includes a 22-foot-tali “Wall of Words”, where visitors speak into devices and learn about the roots of the English language.Another room invites listeners to speak and learn about different languages. Native speakers of 28 languages and two sign languages teach people sayings in those languages. They also explain how language shapes their understanding of the world and how words cannot be separated from culture.Other rooms explore the different ways language is used — from humor and song writing to public speaking and advertising. Visitors can sing karaoke while learning about song writing, record a famous speech, play a joke-telling game, and teach a computer how to make cartoons. Almost every exhibit is interactive and most askvisitors to speak aloud.One exhibit room is all about books. It is designed to look like an old, rich library. Books line the shelves. When a book is placed on the table, a recorded reading begins and pictures appear.8. What does the underlined word “clamor” in paragraph 1 probably mean?A. Scene.B. Noise.C. Language.D. Appearance.9. The SpeakingWillowwas created ______.A specially B. accidentallyC. on requestD. out of curiosity10. What can we learn from the video in the room?A. Words and cultures.B. Different languages.C. The history of words.D. The first words newborns say.11. In which paragraph can you find the methods of using languages?A. 3.B. 4.C. 6.D. 7.DIn 2002, young Elon Musk tried unsuccessfully to buy Russian rockets to help him send mice to Mars and back. Afterwards, the youngmillionaire decided to build his own rockets.Musk went to Southern California and started hiring people to help bring his dream to life. In a very short time, and despite some failures, his company SpaceX launched Falcon 1, the first successful privately-built liquid fuel rocket, into Earth's orbit in 2008.As the first Falcon rocket began testing, development was already underway for the Falcon 9. This much larger rocket, which uses nine engines to lift heavy payloads（有效载荷）into orbit, is engineered to return to Earth, ready to be reused for another flight.For Musk, space is the final destination. To help people get there, his company Neuralink is developing devices that will link people's brains with computers. A similar device has been developed at the University of Utah. It consists of a chip（芯片）with 256 threads（线程）that is placed between a person's skin and brain. The threads attach directly to brain tissue（脑组织）.Patients who have the device are able to use only their minds to communicate with one another through computers.Neuralink's chips will have about 1,000 threads. A robot developed by the company will place up to ten chipsunder a person's skin. The chips will communicate without wires but with a tiny device that will be worn behind the person's ear. That device, in turn, will communicate with computers. The primary market for the technology will be for people that, because of injuries or birth defects, cannot control their hands and arms. With Neuralink^ product, they'll be able to mentally command a computer to type messages for them or carry out other tasks.12. According to this article, what was the first Falcon 1 able to do?A. Launch big satellites.B. Reach distant moons.C. Move around our planet.D. Study the universe.13. What does the article explain about Neuralink's chips?A. How they'll be set up.B. What safety features they'll have.C. How much money they'll earn.D. Where they'll be produced.14. According to this article, who is Neuralink going to market its product to first?A. Those who own great wealth.B. Those who are physically disabled.C. Those who travel internationally.D. Those who do research on plants.15. In which publication is this article most likely to appear?A. The Journal of Environmental Studies.B. Advances in Business and Technology.C. Digest of Fashion and Entertainment News,D. Consumer's Guide to Outdoor Recreation.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。
2020年四川省成都实验外国语学校高考物理三模试卷 (含答案解析)
2020年四川省成都实验外国语学校高考物理三模试卷一、单选题（本大题共6小题，共36.0分）1.如图是在同一条直线上运动的A、B两质点的x−t图象，由图可知()A. t=0时，A在B后面B. B质点在t2追上A并在此后跑在A的前面C. 在0～t1时间内B的运动速度比A大D. A质点在0～t1时间内做加速运动，之后做匀速运动2.人类对光的本性以及原子内部结构的进一步认识，促进了科技极大的进步，并大量应用于医疗、通讯等领域．下列说法中正确的是()A. 铀核( 92238U)衰变为铅核( 82206Pb)的过程中，中子数减少了32个B. 相同频率的光照射不同金属，从金属表面逸出的光电子的最大初动能越大，说明这种金属的逸出功越大C. 94239Pu的半衰期约为4天，1g 94239Pu经8天全部发生了衰变D. 氢原子吸收光子后，从低能级向高能级跃迁，原子能量增加3.如图所示，在示波管下方有一根水平放置的通电直电线，则示波管中的电子束将()A. 向上偏转B. 向下偏转C. 向纸外偏转D. 向纸里偏转4.地球质量M1约是月球质量M2的81倍，在登月飞船通过月地之间，月亮和地球对它引力相等的位置时，飞船距月亮中心的距离r和距地球中心的距离R的比是()A. 1：27B. 1：9C. 1：3D. 9：15.纸面内有U形金属导轨，AB部分是直导线如图所示。
虚线范围内有垂直于纸面向里的匀强磁场，AB右侧有圆线圈C。
为了使导线AB的磁场能在C中产生顺时针方向的感应电流，贴着导轨的金属棒MN在磁场里的运动情况可以是()A. 向右匀速运动B. 向左匀速运动C. 向左加速运动D. 向左减速运动6.如图所示，匀强电场场强为1×103N/C，ab=dc=4cm，bc=ad=3cm，则下述计算结果正确的是()A. ab之间的电势差为4000 VB. ac之间的电势差为50 VC. 将q=−5×10−3C的点电荷沿矩形路径abcda移动一周，静电力做功为零D. 将q=−5×10−3C的点电荷沿abc或adc从a移到c静电力做功都是−0.25J二、多选题（本大题共3小题，共17.0分）7.某交流发电机的输出电压随时间变化的关系如图所示，输出功率是20kW，用5000V高压输电，输电线总电阻是10Ω，用户端利用n1：n2=22：1的变压器降压，则下列说法正确的是()A. 交变电流的频率为100HzB. 发电机输出电压的有效值为220VC. 输电线中电流为500AD. 用户得到的电压约为225V8.如图所示，现有两个完全相同的可视为质点的物块a、b从静止开始运动，a自由下落，b沿光滑的固定斜面下滑。
2020年成都市实验中学高三英语三模试卷及参考答案
2020年成都市实验中学高三英语三模试卷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ACome and enjoy Vivaldi's TheFour Seasonsperformed by live musicians!Tickets△Zone A Sating (Excellent Visibility, $75)△Zone B Seating (Great Visibility, $60)△Zone C Seating (Good Visibility, $45)△Zone D Seating (Restricted Visibility, 30)Zone A and Zone B audiences will get the chance to take pictures with the performers on the stage after the show.Highlights* A beautiful venue bathed in candlelight.*Classical music performance by the Angel Strings quartet*A safe and socially-distanced event, ensuring you are comfortable and at ease.General Info*Dates and times: Various dates, at 6:30 pm and 8:30 pm (select during purchase).*How long: 65 minutes. Doors open 45 minutes before the start time. We recommend you arrive at least 30 minutes before the start of the event, as late entry is not permitted.*Where: Events on Oxlade*Age requirement: Must be 8 years old or older to attend. Anyone under the age of 16 must be accompanied by an adult.*Please note: The 6:30 pm seating will take place during daylight hours outdoors, and the space will not be that dark. In the case of rain, the event will be moved to the indoor area of the venue.DescriptionWhether you're looking for a beautifully unique classical music performance or a romantic candlelit experience, this performance is for you. You don't need to know all things about Vivaldi to enjoy the evening; simply sit back and admire the wonderful atmosphere and the pieces you'll hear.Join our musicians for an evening under the stars, and prepare to be taken into the clouds with Vivaldi' s most treasured masterpieces!1.What can someone with a $45 ticket do?A.Perform on the stage.B.Enjoy good visibility.C.Select a seat in Zone B.D.Take photos with the musicians.2.What should potential audiences keep in mind?A.Arrive at the venue on time.B.Learn about Vivaldi in advance.C.The performance lasts 45 minutes.D.The event will be canceled if it rains.3.What do we know about the 8:30 p.m. performance?A.It welcomes children under the age of 8.B.Its performers differ on different dates.C.Its stage will be decorated with candles.D.It will be shown in the indoor area of the venue.BPeggy Whitson's job demands a daily twohour workout in a gym where weight has no meaning and the view changes at 17,000 miles an hour.Whitson makes it look easy. At 57, she is the oldest woman to fly in space, breaking the record last November, 2016, when she began her third longterm stay at the International Space Station. After returning home in September, 2017, the NASA astronaut feltmatter-of-factabout the age milestone.“It wasn't a record I was seeking for,” Whitson said. “I was 42 and 48 for my first two space flights. I feel lucky that I was able to get to do another one in my 50s. I don't think people should let age discourage them, even on those jobs that require some amount of physical fitness. The oldest man is John Glenn (at 77), and we've had male astronauts in their 60s before, so it's just a matter of time before women start flying in space at this age”.On the earth, she stays fit by weightlifting, biking, playing basketball and water skiing. She shared what it's like to live in microgravity: “It's like you're in a swimming pool, but you don't have to worry about breathing. If I push off from one side, I'm going to float to the other side. Every direction feels exactly the same, which is really hard for your brain to grasp, but it's amazing how fast you adapt.It's a big shock for the body to come back to Earth—everything is so heavy. We spend a lot of time getting used to being back in gravity again. Back pain was really the most dramatic for me this time. For me, coming home is harder than going up into space.”4. How long did Peggy Whitson spend for her third stay in the International Space Station?A. About 300 days.B. About 708 days.C. About 107 days.D. About57 days.5. What does the underlined word probably mean in the passage?A. Amazing.B. Not surprising.C. Enthusiastic.D. Unbelievable.6. According to the passage, which of the following is true?A. Peggy Whitson likes swimming most.B. Peggy Whitson is the oldest person to fly in space.C. Peggy Whitson had been in space in 2002 and 2008.D. There had been female astronauts over 60s flying in space before.7. Which of the following will Peggy Whitson probably say?A. You can still be successful and do physical things when old.B. I spent quite a lot of time getting used to the life in space.C. The moment we reached the earth, we felt so relaxed.D. I feel lucky that I am physically well after the whole journey.CThe World Wildlife Fund (WWF) says more than half of the world’s wildlife population has been lost, whichthe conservation group says has placed the health of the planet at risk.The WWF recently released its 10th Flagship Living Planet Report. The group warns the condition of the world's animals is worse than its earlier reports showed, indicating worldwide action is needed.The WWF is worried about the loss of and damage to Earth’s environment. The report provides information about more than 10,000 animal populations from 1970 to 2010. These populations are called “vertebrate species,” or animals with backbones — like fish, birds, mammals, amphibians and reptiles. The report shows these populations have dropped by 52 percent in just 40 years. It warns freshwater species have fallen by 76 percent, which is almost twice the loss of land and ocean species. Most of these losses are in the tropics, with the biggest drop inLatin America.Marco Lambertini, the WWF’s International Director-General said, “This is about losing natural habitats. This is aboutconvertingforests, grasslands, and wetlands into agriculture mainly, and it is about unsustainable use of wildlife. Illegal hunting has been actually increasing over the last 10 years, which definitely a driving force for extinction, particularly of large species.”The report also notes what it calls the world’s “Ecological Footprint”, that is, the effect of human activities on the planet. Mr. Lambertini says there has been an increase in carbon dioxide gases and the pouring of nitrogen into oceans and rivers from fertilizers used in agriculture, which certainly cannot continue.“We are consuming on average every year about the equivalent of about 1.5, one and a half times the resources available to the planet. That means we are cutting trees more quickly than they can be restored. We are fishing the oceans more quickly than fishing stocks can reproduce, and we are emitting in the atmosphere more CO2than the natural systems can actually absorb, which is clearly not sustainable.”Mr. Lambertini warns climate change affects almost everyone on the planet and that whole species may disappear if the world does not reduce the effects of humans on the climate.8. According to the passage, what kind of species faces the biggest drop in population?A. Land and ocean species.B. Animals with backbones.C. Freshwater species inLatin America.D. Freshwater species in the tropics.9. All the following can contribute to the loss of world’s wildlife population EXCEPT ________.A. turning wildlife habitats into agriculture land.B. making sustainable use of wildlife.C. hunting illegally.D. emitting CO2 gases and pouring nitrogen.10. Which does the underlined word “converting” in paragraph 4 mean?A. Conserving.B. Conveying.C. Exchanging.D. Transforming.11. It can be inferred from the passage that _______.A. Marco is much concerned about human’s current behaviors towards wildlife.B. what the planet provides now can satisfy human’s sustainable development.C. more than half of the world’s wildlife population has been lost.D. if humans reduce the effects on the climate, the whole species will not disappear.DEver wondered if dogs can learn new words? Yes, say researchers as they have found that talented dogs may have the ability to grasp new words after hearing them only four times.While previous evidence seems to show that most dogs do not learn words, unless eventually very well trained, a few individuals have shown some extraordinary abilities, according to a study published in the journal Scientific Reports.“We wanted to know under which conditions the gifted dogs may learn novel words” said researcher xuekw Claudia Fugazza from theEötvösLorándUniversityinHungary. For the study, the team involved two gifted dogs, Whisky and Vicky Nina. The team exposed the dogs to the new words in two different conditions.In the exclusion-based task, presented with seven known toys and one new toy, the dogs were able to select the new toy when presented with a new name. Researchers say this proves that dogs can choose by exclusion when faced with a new word, they selected the only toy which did not have a known name.However, this was not the way they would learn the name of the toy. In fact, when they were presented with one more equally new name to test their ability to recognize the toy by its name, the dogs got totally confused and failed.The other condition, the social one, where the dogs played with their owners who pronounced the name of the toy while playing with the dog, proved to be the successful way to learn the name of the toy, even after hearing it only 4 times. “The rapid learning that we observed seems to equal children’s ability to learn many new words at a fast rate around the age of 18 months,” Fugazza says. “But we do not know whether the learning mechanisms(机制) behind this learning are the same for humans and dogs. ”To test whether most dogs would learn words this way, 20 other dogs were tested in the same condition, but none of them showed any evidence of learning the toy names, confirming that the abilityto learn words rapidly in the absence of formal training is very rare and is only present in a few gifted dogs.12. What was the purpose of the study published in Scientific Reports?A. To better train dogs’ ability to learn new words.B. To further confirm previous evidence about dogs.C. To prove extraordinary memory abilities of gifted dogs.D. To explore favorable conditions for gifted dogs’ new-word learning.13. How did the dogs react when exposed to two new names in the first condition?A. Slow to understand.B. Quick to learn.C. At a loss.D. In a panic.14. What was found about dogs’ new-word learning in the social condition?A. Learning through playing applied to most dogs.B. The social condition helped dogs learn new words.CDogs’ new-word learning turned out to be less effective.D. Dogs shared similar learning mechanisms with children.15. Which of the following is the best title for the text?A. Gifted Dogs Can Learn New Words Rapidly.B. Dogs Identify Newly-named Toys by Exclusion.C. Dogs Can Acquire Vocabulary through Tons of Training.D. Gifted Dogs Have Similar Learning Abilities to Humans.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。
2020年成都市实验中学高三英语三模试题及答案解析
2020年成都市实验中学高三英语三模试题及答案解析第一部分阅读（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AWhen you grow up in Voss, outdoor adventures become a way of living. This is why visitors will find outdoor activities for all ages and levels. Many people get the impression that such activities as river sports, air sports and other extreme sports are only for the experts. Actually, you will find many outdoor adventures for those who simply want a taste of these elements in Voss.◆River KayakingThe river in Voss are great for river kayaking. If you are a beginner, we advise you to try an introduction course of 3 hours. A course of 2 days can be tested out if you really want to learn the sport of kayaking. Get a totally new experience with one of the best kayak centers inNorway.Prices From NOK 850 per person◆RaftingThe most popular summer activity in Voss. Thrilling, fun and suitable for beginners as well as those with experience! Includes transportation, safety instruction, swim test and about8kmof breathtaking rafting starting off in softer steams before getting on to the more exciting streams.Season Daily May—OctoberPrices From NOK 1,120Info All necessary equipment is provided. Please bring your own swimwear and towel.◆Bavallsekspressen Chair LiftExplore the mountain by riding the Bavallsekpressen chair lift all the way to the top to get immediate access to a great variety of hiking trails in beautiful scenery. The lift is also open for those who want to bring their bike or paraglider. Start and end: From Bavallen to Hangurstoppen.Season: Sat/Sun 24 June—06 August 12:00-16:00Prices Single trip: NOK 100 Day pass: NOK 250◆HusdyrparkenAt Husdyrparken, visitors get to experience Norwegian farm animals. You can participate in animal feeding and farm competitions, or simply relax with an organic ice cream in the café. You can also visit a small museumwith old farming equipment.Season: Daily 18 June—21 AugustPrices: Adults NOK 120 Children NOK 60 Senior NOK 60Family Pass NOK 200 (For up to two adults and two kids)1. Who are the intended readers of the passage?A. Local residents.B. Professional athletes.C. Travel experts.D. Common Tourists.2. Which of the following activities provide instructions for beginners?A. River Kayaking and Rafting.B. Husdyrparken and River Kayaking.C. Rafting and Bavallsekspressen Chair Lift.D. Bavallsekspressen Chair Lift and Husdyrparken.3. How much should Jan pay for a farm trip with her little son and her mother in Voss?A. NOK 240.B. NOK 200.C. NOK 180.D. NOK 120.BI had very good parents. My mother came toAmericafromScotlandby herself when she was 11, and she didn’t have much education. My dad was kind of a street kid, and he eventually went into the insurance business, selling nickel policies door to door.One day, my dad asked his boss, “What's the toughest market to sell?” and the insurance guy replied “Well, black people. They don’t buy insurance.” My dad thought, but they have kids; they have families. Why wouldn’t they buy insurance? So he said, “Give meHarlem.”When my dad died in 1994, I talked about him onThe Tonight Show. I told the story of how he worked in Harlem and how he always taught us to be open-minded and not to say or think things of racism (种族主义). Then one day, I got a letter from a woman who was about 75 years old.She wrote that when she was a little girl, a man used to come to her house to collect policies. She said this man was the only white person who had ever come to dinner at their house. The man was very kind to her, she said, and his name was Angelo—was this my father?The letter made me cry. I called her up and said yes, that was in fact my dad, and she told me how kind he had been to her family. Her whole attitude toward white people was based on that one nice man she met in her childhood, who always treated her with kindness and respect and always gave her a piece of candy. From this experience, I learned a valuable life lesson: never judge people and be open-minded and kind to others.4. What did my father do after knowing what was the toughest market to sell?A. He asked his boss to give him some insurance.B. He went toScotlandto improve his education.C. He specially went to white families with kids.D. He choseHarlemto face the toughest challenge.5. What can we learn from the third paragraph?A. It was rare that a businessman had dinner in his customer's house.B. Angelo was the only white person to sell insurance inHarlem.C. The little girl admired Angelo very much.D. Racism was a serious problem inAmericaat that time.6. Which of the following can best describe the author’s father?A. Stubborn and generous.B. Patient and intelligent.C. Determined and open-minded.D. Confident and romantic.7. What can be the best title of the passage?A. Memories from a TV Show.B. A Letter from an Old Lady.C. Life Lessons from My Father.D. My Father's Experience inHarlem.CScientists at the Massachusetts Institute of Technology (麻省理工学院) have turned spider webs into music——creating an strange soundtrack that could help them better understand how the spiders output their complex creations and even how they communicate.The MIT team worked with Berlin-based artist Tomas Saraceno to take 2D (two-dimensional) laser (激光) scans of a spider web, which were linked together and made into a mathematical model that could recreate the web in 3Din VR (virtual reality). They also worked with MIT’s music department to create the virtual instrument.“Even though the web looks really random (随机)，there actually are a lot of inside structures and you can visualize (可视化) them and you can look at them, but it’s really hard to grasp for the human imagination or human brain to understand all these structural details,” said MIT engineering professor Markus Buehler, who presented the work on Monday at a virtual meeting of the American Chemical Society.Listening to the music while moving through the VR spider web lets you see and hear these structural changes and gives a better idea of how spiders see the world, he told CNN. “Spiders use vibrations (振动) as a way to locate themselves, to communicate with other spiders and so the idea of thinking really like a spider would experience the world was something that was very important to us as spider material scientists,” Buehler said.Spiders are able to build their webs without shelves or supports, so having a better idea of how they work could lead to the development of advanced new 3D printing techniques. “The reason why I did that is I wanted to be able to get information really from the spider world, which is very weird and mysterious,” Buehler explained. In addition to the scientific value, Buehler said the webs are musically interesting and that you can hear the sounds the spider creates during construction. “It’s unusual and eerie and scary, but finally beautiful.” he described.8. What have MIT scientists done according to the passage?A. They have translated spider webs into sounds.B. They have made a mathematical model to produce webs.C. They have created a soundtrack to catch spiders.D. They have known how spiders communicate.9. What can we know about spider webs from paragraph 3?A. Their structures are beautiful and clear.B. Professor Markus Buehler knows them well.C. The American Chemical Society presents the result.D. They are complex for people to figure it out.10. In which field will the study be helpful?A. virtual realityB. printingC. paintingD. film-making11. What is the main idea of the passage?A. It tells us that the music created by spiders is scary.B. It shows how the researchers carry out the experiment.C. It presents a new and creative way to study spiders.D. It explains why scientists did the experiment.DThe World Wildlife Fund (WWF) says more than half of the world’s wildlife population has been lost, whichthe conservation group says has placed the health of the planet at risk.The WWF recently released its 10th Flagship Living Planet Report. The group warns the condition of the world's animals is worse than its earlier reports showed, indicating worldwide action is needed.The WWF is worried about the loss of and damage to Earth’s environment. The report provides information about more than 10,000 animal populations from 1970 to 2010. These populations are called “vertebrate species,” oranimals with backbones — like fish, birds, mammals, amphibians and reptiles. The report shows these populations have dropped by 52 percent in just 40 years. It warns freshwater species have fallen by 76 percent, which is almost twice the loss of land and ocean species. Most of these losses are in the tropics, with the biggest drop inLatin America.Marco Lambertini, the WWF’s International Director-General said, “This is about losing natural habitats. This is aboutconvertingforests, grasslands, and wetlands into agriculture mainly, and it is about unsustainable use of wildlife. Illegal hunting has been actually increasing over the last 10 years, which definitely a driving force for extinction, particularly of large species.”The report also notes what it calls the world’s “Ecological Footprint”, that is, the effect of human activities on the planet. Mr. Lambertini says there has been an increase in carbon dioxide gases and the pouring of nitrogen into oceans and rivers from fertilizers used in agriculture, which certainly cannot continue.“We are consuming on average every year about the equivalent of about 1.5, one and a half times the resources available to the planet. That means we are cutting trees more quickly than they can be restored. We are fishing the oceans more quickly than fishing stocks can reproduce, and we are emitting in the atmosphere more CO2than the natural systems can actually absorb, which is clearly not sustainable.”Mr. Lambertini warns climate change affects almost everyone on the planet and that whole species may disappear if the world does not reduce the effects of humans on the climate.12. According to the passage, what kind of species faces the biggest drop in population?A. Land and ocean species.B. Animals with backbones.C. Freshwater species inLatin America.D. Freshwater species in the tropics.13. All the following can contribute to the loss of world’s wildlife population EXCEPT ________.A. turning wildlife habitats into agriculture land.B. making sustainable use of wildlife.C. hunting illegally.D. emitting CO2 gases and pouring nitrogen.14. Which does the underlined word “converting” in paragraph 4 mean?A. Conserving.B. Conveying.C. Exchanging.D. Transforming.15. It can be inferred from the passage that _______.A. Marco is much concerned about human’s current behaviors towards wildlife.B. what the planet provides now can satisfy human’s sustainable development.C. more than half of the world’s wildlife population has been lost.D. if humans reduce the effects on the climate, the whole species will not disappear.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。
- 1、下载文档前请自行甄别文档内容的完整性，平台不提供额外的编辑、内容补充、找答案等附加服务。
- 2、"仅部分预览"的文档,不可在线预览部分如存在完整性等问题,可反馈申请退款(可完整预览的文档不适用该条件!)。
- 3、如文档侵犯您的权益，请联系客服反馈,我们会尽快为您处理(人工客服工作时间：9:00-18:30)。
A．28
B． 28
C．70
D． 70
5．下列判断正确的是（ ）
A.两圆锥曲线的离心率分别为 e1 , e2 ，则“ e1e2 1 ”是“两圆锥曲线均为椭圆”的充要条件
B．命题“若 x2 1 ，则 x 1 .”的否命题为“若 x2 1 ，则 x 1.”
C．若命题“ p q ”为假命题，则命题“ p q ”是假命题
成都市实验外国语学校高 2017 级数学模拟（三）理
一．选择题（本大题共 12 小题，每小题 5 分，共 60 分）
1．已知集合 A x | y 1 x2 , x Z ， B y | y x2 1, x A ，则 A B 为( )
A．
B．0,
C．1
D． 0,1
2．若复数 z 满足 1 i z 3 i ，则 z 的虚部为（ ）
交 y 轴于点 E ,连接 AE 交 QF
于点 M ,且 QM 2MF ,则双曲线 C 的离心率为(
）
A． 2
B．2
C．3
D．5
12.若 x1、x2 (x1 x2 ) 为函数 f (x) 相邻的两个极值点，且在 x1、x2 处分别取得极小值和极大
值 ， 则 定 义 f (x1) f (x2 ) 为 函 数 f (x) 的 一 个 极 优 差 ， 函 数
f (x) ex (sin x cos x)( x 2020 ) 的所有极优差之和为（ ） 2
A. e
1 e2020 1 e2
B.
1
e2021 1 e
C.
1 e2020 1 e2
D.
1
1
e
2020
e
二、填空题（本大题共 4 小题，每小题 5 分，共 20 分）
13．已知向量 a 1,
17．设等差数列 an的前 n 项的和为 Sn ,且 S4 62, S6 75 ,求：
（1）求 an的通项公式 an ；
（2）求数列 an 的前 14 项和.
18.某网购平台为了解某市居民在该平台的消费情况，从该市使用其平台且每周平均消费额
超过 100 元的人员中随机抽取了 100 名，并绘制右图所示频率分布直方图，已知中间三组的 人数可构成等差数列.
a
f
(2
3 2
)
,
b
f (log2 9) ， c
f(
5) 的大小关系为（
）
A． a b c
B． a c b
C． b a c
D． b c a
11．已知双曲线
C:
x a
2 2
y2 b2
（1 a
0,b
0)
的左、右顶点分别为
A、B .点 F
为双曲线的左
焦点，过点 F 作垂直于 x 轴的直线分别在第二、第三象限交双曲线 C 于 P 、Q 两点,连接 PB
第2页共4页 2020年2020届四川省成都市实验外国语学校2017级高三高考模拟考试（三）理科数学试卷
线的交点，定义：d
(P)
| |
PF FQ
| |
.已知点
P
(
1,
4
2 ) ，则 d(P) ______；设点 P(1,t)(t 0) ，
则 2d(P) | PF |的值为____.
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）
C．若 ， m ，n ，则 n D．若 m ，m // n ，n ，则
9．设随机变量 X ，Y 满足：Y 3X 1，X B 2, p ，若 P X 1 5 ，则 D Y （ ）
9
A．4
B．5
C．6
D．7
10．已知函数 f (x) 是定义在 R 上的偶函数，当 x 0 时， f (x) ex x ，则
D．命题“ x R ， 2x x2 ."的否定是“ x0 R ， 2x0 x02 .”
6．函数
f
(x)
(ex
ex ) cos x2
x
的部分图象大致是（
）
A．
B．
C．
D．
7．在 ABC 中，角 A ， B ，C 的对边分别是 a ，b ，c ，且 a cos C 2b c cos A＝0 ，
到回归方程 y 5x b .已知 100 名使用者的平均年龄为 38 岁，试判断一名年龄为 25 岁的
年轻人每周的平均消费金额为多少.（同一组数据用该区间的中点值代替）
K2
n(ad bc)2
，其中 n a b c d
(a b)(c d )(a c)(b d )
19．如图（1），在平行四边形 ABB1A1 中，ABB1 60 ， AB 4 ， AA1 2 ，C ，C1 分
则角 A 的大小为（
A．
4
）
B． 3
C．
2
3
D．
4
第1页共4页
2020年2020届四川省成都市实验外国语学校2017级高三高考模拟考试（三）理科数学试卷
8．设 m，n 是两条不同的直线， ， 是两个不同的平面，则下列命题正确的是( )
A．若 m / / ， n / / ，则 m // n
B．若 / / ，m ，n ，则 m // n
A． - 1
B． - 2
C． i
D． 2i
3．在平面直角坐标系 xOy 中，已知角 的顶点在坐标原点，始边与 x 轴正半轴重合，终边
经过点 P( 2,1) ，则 cos 2 （ ）
A． 2 2 3
1
B．
3
C． 1 3
D． 2 2 3
4. ( 3 x 1 )n 的展开式中只有第 5 项的二项式系数最大，则展开式中的常数项是 ( ) x
（1）求 m, n 的值；
（2）分析人员对 100 名调查对象的性别进行统计发 现，消费金额不低于 300 元的男性有 20 人，低于 300
元的男性有 25 人，根据统计数据完成下列 2 2 列联
表，并判断是否有 99 0 0 的把握认为消费金额与性别
有关？
（3）分析人员对抽取对象每周的消费金额 y 与年龄 x 进一步分析，发现他们线性相关，得
3
，b (
3,1) 则向量 a 在向量 b 方向上的投影为________.
14．函数 f (x) x3 3ax2 3(a 2)x 1有极大值又有极小值，则 a 的范围是
．
15．已知函数 f (x) 3 sin x cos x( 0) ，其图象与直线 y 2 的两个相邻交点的 距离等于 ，则 f (x) 的单调递增区间为______________． 16．已知抛物线方程 y2 4x ， F 为焦点， P 为抛物线准线上一点， Q 为线段 PF 与抛物