北京市西城区2021届高三一模英语试题(含答案解析)
北京市东城区2021届高三英语下学期综合练习(一模)试题(一).doc
北京市东城区2021届高三英语下学期综合练习（一模）试题（一）本试卷共 10 页，共 120 分。
考试时长 100 分钟。
考生务必将答案答在答题卡上，在试卷上作答无效。
考试结束后，将本试卷和答题卡一并交回。
第一部分：知识运用（共两节，45分）第一节语法填空（共10小题；每小题1.5分，共15分）阅读下列短文，根据短文内容填空。
在未给提示词的空白处仅填写1个适当的单词，在给出提示词的空白处用括号内所给词的正确形式填空。
AThe goshawk, a rare bird, once close to extinction, has doubled 1 (it) number in a national park in the south of England. Around 100 years ago, there were thought to be no goshawks 2 (leave), due to farmers hunting them and their woodland habitats being cut down. However, thanks to conservationists, goshawks are back. By monitoring their nesting sites over time, the teams have been able to protect them from further forestry work. As a result, their number 3 (grow) from just 20 pairs to 40 pairs in the past two years.BOne morning, I told my husband jokingly that he’d dropped the ball because he hadn’t made me coffee and I was having trouble getting motivated 4 (start) the day. My five-year-old son overheard me and asked what “drop the ball” meant. I told him it was just something like making a mistake. A few minutes later, he came into our bedroom 5 (hold) an overflowing coffee cup with a dishcloth underneath it to catch the drops. He said to my husband, “You dropped the ball, but I picked the ball up,” and he handed me the w orst-tasting, most watered-down but 6 (sweet) cup of coffee ever.CIn half a century, the Internet has transformed society. Billions of us can connect at the touch of a button. Access 7 information, banks and shops has never been easier. The world has changed8 (dramatic) and continues to do so in ways we couldn’t have imagined. However,1 / 191the Internet isn’t without disadvantages. By design, it has no central authority,9 makes protecting people online or dealing with misinformation a near-impossible task.10 the Internet develops will shape our future. If the past 50 years has been dominated by free and open exchanges, the next 50 will be about whether rules and restrictions can actually make the Internet, and the world, a better place.第二节完形填空（共20小题；每小题1.5分，共30分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
2021年北京市西城区中考英语一模试卷(附答案详解)
2021年北京市西城区中考英语一模试卷一、单选题（本大题共12小题，共6.0分）1.We all like the book Lonely Planet. It tells ________ a lot about the world.A. usB. himC. herD. them2.My home is ________ my school. It is only five minutes' walk.A. forB. onC. nearD. at3.Susan is ill, ________ she is not at school today.A. thoughB. butC. orD. so4.-Mom, it is really hot today. May I have some ice-cream-Of course you ________.A. shouldB. mustC. needD. can5.-________ did you visit the National Museum last time-About a year ago.A. HowB. WhyC. WhenD. Where6.The mind exercise is as ________ as body exercise.A. importantB. more importantC. most importantD. the most important7.The students ________ on the playground when it began to rain.A. runB. are runningC. were runningD. will run8.-Jack, would you like something to eat-No, thank you. I ________ a big meal.A. haveB. have hadC. was havingD. had9.There is a new park next to my home. I ________ a walk there every day.A. tookB. takeC. was takingD. have taken10.When Helen Keller was 7，she ________ to learn to read by using her fingers.A. startsB. startedC. will startD. has started11.It is said that a starship ________ to Mars around 2030.A. sendsB. will sendC. is sentD. will be sent12.-Do you know ________-She lost her passport yesterday.A. why does Lisa miss the flightB. why did Lisa miss the flightC. why Lisa misses the flightD. why Lisa missed the flight二、完形填空（本大题共8小题，共8.0分）Vertical GardensHenrietta did not have a big yard. She only had a small deck （平台）overlooking a tiny piece of grass. It was not enough yard for her dogto play on. She（1）______ a garden really bad, but did not havespace. What could she doFor a while, she just kept a few plants in pots on the deck. They took up space and there was hardly any space for her table and chairs. So, she made some flower boxes with rope to put plants in. She（2）______ one on her window and put two more on the bars, which were great for flowers. This helped for a time, but she still longed for more.She（3）______ got an idea：if she couldn't build out, why not build up？She had heard of vertical gardening from a friend. She had wooden fences （栅栏）all around her little piece of grass, so if she could fix some pots to the fence, she could（4）______ up into that space, and her dog could still play.She went to the building store and got some supplies. It was（5）______ to find pots that would fit what she had in mind. So she looked around to find something else for her vertical garden. Then she had an idea with rain gutters （排水槽）. Rain gutters could hold water, so why not plants She decided to（6）______ them.Back at home, she fixed the boards to her fence for supporting the gutters. She put caps on the end and extra supports in the middle. Then she filled them with potting soil and planted three long rows of（7）______ .A few days later, there were new leaves. Weeks later, she was harvesting vegetables to eat. She went all out then, lining all three walls of her fence with more long rain gutter planters. She had made her vertical garden! Best of all, her dog, Skippy, still had（8）______ to run and play.13. A. wanted B. hated C. missed D. treated14. A. hid B. opened C. hung D. carried15. A. almost B. seldom C. finally D. hardly16. A. move B. look C. climb D. garden17. A. quick B. hard C. fun D. convenient18. A. try B. sell C. cover D. repair19. A. grassB. treesC. flowersD. vegetables 20. A. time B. room C. energy D. interest三、阅读理解（本大题共13小题，共26.0分）ABest Gifts for Your Teen Friends Shopping for your teen friends' birthday gifts can be difficult. Each year, we pay close attention to the newest gifts hitting the market. Below, we've created such a list, choosing some of the hottest items on store shelves right now.Color-changing LampSpeaker＄36.00 With a simple touch, thisspeaker lamp changes color,plays music and helps themsleep. They can even bring itwith them on camping tripssince it runs for up to 120hours.Harry Potter Paperback Box Set＄80.00 If they're getting sick of borrowing the local library's copies, then they need a complete collection of Harry Potter books to call their own. This set comes with all seven books in the series （系列）. The Mind Card Game＄20.00 This is a board game thatencourages true teamwork, because the number one rule is "No talking!"If successful, they'll beamazed at how well they work with their teammates without using any words.Bluetooth Wireless （无线） Smart Beanie＄15.00 Trying to wear headphones and a hat at the same time is usually uncomfortable. This smart beanie can keep their ears warm in winter, while allowing them to listen to their favorite playlists for up to five hours. Also, it's washable as long as you take out the battery （电池） .21. Which gift encourages teamwork ？ ______A. The Mind Card Game.B. Harry Potter Paperback Box Set.C. Color-changing Lamp Speaker.D. Bluetooth Wireless Smart Beanie.22.How much should you pay for a color-changing lamp speaker？______A. 80.00.B. 36.00.C. 20.00.D. 15.00.23.The Bluetooth Wireless Smart Beanie ______ .A. comes with all seven booksB. can run for five hours in winterC. can change color and help one sleepD. follows the number one rule "No talking!"BField Day"It's time for Field Day again," thought Carly as she started the lastweek of school.Carly was not looking forward to it. "Why does everybody make abig deal out of it？" Carly asked her mom. "Well, it's supposed to be a fun day and a day to let yourself go," said Carly's mom. "I'm not good at any of those games that are played, and I'm afraid the kids are going to laugh at me. Maybe I can stay home and miss Field Day," said Carly. Mary was Carly's closest friend, and they walked to school every day. "Aren't you excited about Field Day" Mary asked Carly. "No, I don't care about such a silly day. No one ever picks me for their team because I'm not good at those games," answered Carly.Mary felt bad and she told her mom how unexcited Carly was and wondered what she could do to cheer her friend up. "See if you can get in a game that you know Carly is good at," suggested Mary's mom. Mary thought for a moment and said that she knew Carly loved to play horseshoes, and was really good at that game. She was also good at the water balloon toss （投掷）too.Field Day finally arrived. Mary came by Carly's house for their daily walk to school. Carly was very quiet on the way to school. "I hear they are going to have horseshoes this year and also a water balloon game," Mary said. "Really I love horseshoes, and I am pretty good at catching those water balloons," said Carly. Suddenly, Carly felt more excited about going to school and starting Field Day than she had ever been.The games began and Carly had the best Field Day ever! Her team won first place in the water balloon toss thanks to her, and she got a ribbon （绶带）for second place in horseshoes. "Whata great day!" Carly said to Mary. Carly is now looking forward to Field Day next year!24.Carly wasn't looking forward to Field Day at first because ______ .A. she didn't have friends to go with herB. her friend Mary wasn't excited about itC. her mom told her that it wasn't fun at allD. she wasn't good at those games that were played25.In the story, Mary ______ .A. tried hard to cheer Carly upB. won first place this Field DayC. taught Carly how to play horseshoesD. stayed at home and missed this Field Day26.Carly will probably ______ next Field Day.A. invite her family to join herB. make a completely new ruleC. take an active part in the gamesD. plan the whole event for her schoolCImagine that your friend is cutting the cake to share with all the guests at the birthday party. The first three guests are handed large pieces of cake, while you are handed a teeny-tiny one. How would you feel Is this fair？Most of us have a clear sense of what is fair and what is not, but where does this come from Scientists try to study fairness in primate species （灵长类物种）to understand how fairness came about.Fairness often involves equal outcomes （平等的结果）Do monkeys behave in ways that lead to equal outcomes？To find out, scientists give monkeys choices about how to share food. Scientists ask a monkey to choose between two options-to provide a piece of food just for themselves, or to provide food for another monkey nearby, as well as for themselves （Figure 1）. If monkeys are trying to achieve equal outcomes, they would give food to both themselves and another. Do they Sometimes.The left monkey has just chosen the board to give food to himself and the neighboring monkey.The left monkey has just chosen the board that provides food for himself only.（Figure 1）Whether monkeys favor equal outcomes seems to depend on the species. The species which live in groups will prefer equal outcomes, but not all the time.What else might be influencing whether monkeys create equal outcomes If the two monkeys are friends, one is more likely to share food with the other. It also seems that monkeys would make the equal choice when they cannot see the actual food-some scientists use pictures of food.But wait, does effort matter ？Scientists have developed a way to test whether monkeys prefer everyone to be paid equally for doing the same work. In this study, monkeys are trained to work for food by exchanging small coins with a scientist. To determine if and how monkeys respond to unfairness, scientists have two monkeys take turns exchanging coins and give them different food-their favorite food or a less-preferred food （Figure2）. If the monkey getting the less-preferred food refuses to keep exchanging coins, scientists conclude the monkeys respond to unfairness. The monkey on the left exchanges the coin for a pieceof banana. Next, the neighbor monkey will alsoexchange a coin, but receive a less-preferred piece offood.（Figure 2）The results of the study have suggested differences across monkey species. Generally,monkeys living in groups do not respond to unfairness, while other monkeys do respond to it. However, monkeys do not appear to mind if they get a better food than others.All in all, monkeys' sense of fairness does not seem to be as well-developed as our own. By studying their preferences for fairness and responses to unfair situations, we can learn moreabout how these values developed in humans. And this also helps us to better understand the natural world and how to care for animals as well.27.In the first monkey study, ______ .A. scientists use more pictures of food than actual foodB. scientists let monkeys choose from a variety of foodsC. the left monkey will get no food if it provides food for anotherD. the left monkey can choose between two ways of providing food28.What can we learn from these monkey studies？______A. Monkeys living in groups value effort more.B. Monkeys of different species enjoy different work.C. Not all monkeys stop working when treated unfairly.D. Monkeys seem to mind if the neighbor gets less food.29.Which of the following would be the best title for the passage？______A. Do Monkeys Care What Is Fair？B. Can Equal Outcomes Bring Fairness？C. Why Do Monkeys Value Fairness and Effort？D. How Do Monkeys Develop a Sense of Fairness？DWe've all experienced failure. Whether we like it or not, failure is part of life. How people respond to it is of great importance both to their decisions and achievements. Some are likely to have such expectations："If I should reach that goal, how happy would I feel？" In a recent study, we wanted to understand how such expectations may change in the face of failure. Are people able to predict their own happinessThe old saying "the grass is always greener on the other side" suggests that people spend much of their time searching for things they can't have. In other words, the harder it is to achieve, the higher the valuation. But is this a good model for how ordinary people process failure？According to the story The Fox and the Grapes, failure often leads us to drop our initial （最初的）plan. In the story, the fox jumps with all his strength, yet he fails to reach the grapes. Finally, he walks away, concluding that the grapes were sour （酸的）anyway.So, which is it：greener grass or sour grapes？We did an experiment to determine how people react to failure.In the study, about 1，200 participants （参加者）received either good or poor feedback （反馈）on the practice trial of a test. Half of them were told that they had performed in the bottom 20 percent, while the other half, in the top 20 percent. They were then asked to predict how they would feel if they earned a high score on the actual test.The research results showed that those who received poor feedback on the practice trial predicted that they would feel less happiness and less pride, compared to those who received strong feedback. However, when they received a top score on the actual test later, they were just as happy as the other half, and much happier than they had predicted before. This suggests that the initial failure made people undervalue how good it would feel to succeed in the future. The question though, is why failure makes us downplay our future happiness. According to Professor Jon Elster, people don't always know what they want, and often change their wishes to match what appears within reach. When the outcome doesn't fit the one they have of themselves, they protect themselves by devaluing the goal-rather than devaluing themselves. In other words, when personal failure happens, one way of protecting our positive （积极的）sense of self is to refuse to accept the emotional importance of future achievements. Detachment （超脱）from personal goals can be useful, if it helps people redirect their attention from the impossible to better and more achievable goals. However, if the sour-grape effect kicks in too early and people become fearful of failure, they could miss out on the chance to try again and realize that what once seemed impossible is now within reach.30.What does the story The Fox and the Grapes suggest______A. The outcome valuation depends on what goal is set.B. Difficulties result in a higher achievement expectation.C. Past performance doesn't help predict future happiness.D. Initial failure makes future success appear less attractive.31.The word "downplay" in Paragraph 6 probably means " ______ ".A. undervalueB. better understandC. destroyD. discover32.What do we know from the passage______A. The participants cared more about strong feedback.B. The happier people are those who predict less happiness.C. The participants' performance failed to match their abilities.D. People devalue the goal to keep a positive view of themselves.33.What is the writer trying to tell us？______A. Failure is the mother of success.B. Detachment stops people from changing wishes.C. The seemingly impossible is worth trying sometimes.D. The sour-grape effect pushes us to keep moving forward.四、任务型阅读-简答（本大题共1小题，共10.0分）34.When it comes to celebrations, birthday parties can be one of the important of the wholeyear. The gifts, the singing, the candle-blowing... Basically, they're all the best thingsthrown together into one day. But birthdays aren't always a fun for everyone. For example, homeless children might not get anything at all for their special day. That's why17-year-old Daryn Dusansky decided to start The Balloon Project. It celebrates monthly birthdays for children living in homeless shelters （收容所）with the help of somevolunteers. Dusansky's dream：to bring smiles to all kids' faces on their birthdays.As teenagers, they met many challenges at the beginning. One of the biggest was to make others believe that The Balloon Project was dependable and there would be a party each month. Each party is not easy as there are many things that have to be managed. Luckily, The Balloon Project volunteers want each party to be better than the last and can becounted on to make that happen.Getting The Balloon Project off the ground required many leadership qualities （品质）which Dusansky did not know she owned. Working hard, focusing on solutions, andconnecting with people are all necessary qualities that have made The Balloon Project a success.Offering services to those in need and creating a positive influence are important in being an active member of a community. Community service teaches life lessons often nottaught in school. At one party, a little boy and his father came up to thank her for holding the boy's first organized birthday party. Dusansky then thanked them for teaching her something, too. The father, who lived in a shelter with his son, looked at her, puzzled, as if he was not worthy of teaching her anything. Dusansky explained to him that he had taught her to have the courage to ask for help when needed. She will never forget his hug.Find a cause that interests you. Dusansky loves birthday celebrations and wantsdisadvantaged children to have the opportunity to celebrate, too. Love is passed oneasily-it encourages people to help and volunteer.How old was Dusansky when she decided to start The Balloon Project？______Who does The Balloon Project help______What was one of the biggest challenges in running The Balloon Project______What did Dusansky learn from the father？______What do you think of Dusansky？______五、书面表达（本大题共1小题，共10.0分）35.从下面两个题目中任选一题，根据中文和英文提示，完成一篇不少于50词的文段写作。
北京市西城区2021届高三一模英语试题(含答案解析)
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北京市西城区2021届高三数学第一次模拟考试试题(含解析).doc
北京市西城区2021届高三数学第一次模拟考试试题（含解析）第Ⅰ卷(选择题 共40分)一、选择题:本大题共10小题，每小题4分，共40分.在每小题列出的四个选项中，选出符合题目要求的一项.1.设集合{|3}{|02}A x x B x x x =<=，或，则A B ⋂=（ ） A. ()0-∞，B. ()23，C. ()()023-∞⋃，，D. ()3-∞，【答案】C 【解析】 【分析】直接求交集得到答案.【详解】集合{|3}{|02}A x x B x x x =<=，或，则()()023A B ⋂=-∞⋃，，. 故选：C .【点睛】本题考查了交集运算，属于简单题. 2.若复数()()31z i i =-+，则z =（ ）A. B.D. 20【答案】B 【解析】 【分析】 化简得到()()3142z i i i =-+=+，再计算模长得到答案.【详解】()()3142z i i i =-+=+，故z ==故选：B .【点睛】本题考查了复数的运算，复数的模，意在考查学生的计算能力. 3.下列函数中，值域为R 且为奇函数的是（ ） A. 2y x =+ B. y sinx = C. 3y x x =-D. 2xy =【答案】C 【解析】 【分析】依次判断函数的值域和奇偶性得到答案.【详解】A. 2y x =+，值域为R ，非奇非偶函数，排除； B. y sinx =，值域为[]1,1-，奇函数，排除； C. 3y x x =-，值域为R ，奇函数，满足； D. 2xy =，值域为()0,∞+，非奇非偶函数，排除；故选：C .【点睛】本题考查了函数的值域和奇偶性，意在考查学生对于函数知识的综合应用. 4.设等差数列{}n a 的前n 项和为n S ，若31425a a a =+=，，则6S =（ ） A. 10 B. 9C. 8D. 7【答案】B 【解析】 【分析】 根据题意3141152223a a a a d a d =+=+=+=，，解得14a =，1d =-，得到答案. 【详解】3141152223a a a a d a d =+=+=+=，，解得14a =，1d =-，故616159S a d =+=.故选：B .【点睛】本题考查了等差数列的求和，意在考查学生的计算能力.5.设()()2141A B -，，，，则以线段AB 为直径的圆的方程是（ ）A. 22(3)2x y -+= B. 22(3)8x y -+= C. 22(3)2x y ++= D. 22(3)8x y ++=【答案】A 【解析】 【分析】计算AB 的中点坐标为()3,0，圆半径为r =.【详解】AB 的中点坐标为：()3,0，圆半径为22ABr ===，圆方程为22(3)2x y -+=. 故选：A .【点睛】本题考查了圆的标准方程，意在考查学生的计算能力. 6.设a b c ，，为非零实数，且a c b c >>，，则（ ） A. a b c +>B. 2ab c >C.a b2c +> D.112a b c+> 【答案】C 【解析】 【分析】取1,1,2a b c =-=-=-，计算知ABD 错误，根据不等式性质知C 正确，得到答案. 【详解】,a c b c >>，故2a b c +>，2a bc +>，故C 正确； 取1,1,2a b c =-=-=-，计算知ABD 错误； 故选：C .【点睛】本题考查了不等式性质，意在考查学生对于不等式性质的灵活运用. 7.某四棱锥的三视图如图所示，记S 为此棱锥所有棱的长度的集合，则（ ）A. 2223S S ，且B. 2223S S ，且C. 2223S S ，且D. 2223S S ，且 【答案】D 【解析】【分析】如图所示：在边长为2的正方体1111ABCD A B C D -中，四棱锥1C ABCD -满足条件，故{}2,22,23S =，得到答案.【详解】如图所示：在边长为2的正方体1111ABCD A B C D -中，四棱锥1C ABCD -满足条件. 故12AB BCCD AD CC =====，1122BC DC ==，123AC =.故{}2,22,23S =，故22S ∈，23S ∈.故选：D .【点睛】本题考查了三视图，元素和集合的关系，意在考查学生的空间想象能力和计算能力. 8.设,a b 为非零向量，则“a b a b +=+”是“a 与b 共线”的（ ） A. 充分而不必要条件 B. 必要而不充分条件 C. 充要条件 D. 既不充分也不必要条件【答案】A 【解析】 【分析】根据向量共线的性质依次判断充分性和必要性得到答案.【详解】若a b a b +=+，则a 与b 共线，且方向相同，充分性； 当a 与b 共线，方向相反时，a b a b ≠++，故不必要. 故选：A .【点睛】本题考查了向量共线，充分不必要条件，意在考查学生的推断能力. 9.已知函数()sinx12sinxf x =+的部分图象如图所示，将此图象分别作以下变换，那么变换后的图象可以与原图象重合的变换方式有（ ）①绕着x 轴上一点旋转180︒; ②沿x 轴正方向平移; ③以x 轴为轴作轴对称;④以x 轴的某一条垂线为轴作轴对称. A. ①③ B. ③④C. ②③D. ②④【答案】D 【解析】 【分析】计算得到()()2f x k f x π+=，22f x f x ππ⎛⎫⎛⎫-=+⎪ ⎪⎝⎭⎝⎭，故函数是周期函数，轴对称图形，故②④正确，根据图像知①③错误，得到答案. 【详解】()sin 12sin xf x x=+，()()()()sin 2sin 212sin 212sin x k x f x k f x x k x πππ++===+++，k Z ∈，当沿x 轴正方向平移2,k k Z π∈个单位时，重合，故②正确；co sin 2212co s s s 12in2x f x x x x πππ⎛⎫- ⎪⎛⎫⎝⎭-== ⎪+⎛⎫⎝⎭+- ⎪⎝⎭，co sin 2212co s s s 12in2x f x x x x πππ⎛⎫+ ⎪⎛⎫⎝⎭+== ⎪+⎛⎫⎝⎭++ ⎪⎝⎭，故22f x f x ππ⎛⎫⎛⎫-=+⎪ ⎪⎝⎭⎝⎭，函数关于2x π=对称，故④正确；根据图像知：①③不正确；故选：D .【点睛】本题考查了根据函数图像判断函数性质，意在考查学生对于三角函数知识和图像的综合应用.10.设函数()210100x x x f x lgx x ⎧++≤⎪=⎨>⎪⎩，，若关于x 的方程()()f x a a R =∈有四个实数解()1234i x i =，，，，其中1234x x x x <<<，则()()1234x x x x +-的取值范围是（ ） A. (]0101， B. (]099， C. (]0100， D. ()0+∞，【答案】B 【解析】 【分析】画出函数图像，根据图像知：1210x x +=-，341x x =，31110x ≤<，计算得到答案. 【详解】()21010lg 0x x x f x x x ⎧++≤⎪=⎨>⎪⎩，，，画出函数图像，如图所示：根据图像知：1210x x +=-，34lg lg x x =-，故341x x =，且31110x ≤<. 故()()(]1234330110,99x x x x x x ⎛⎫∈ ⎪⎭-⎝+-=-. 故选：B .【点睛】本题考查了函数零点问题，意在考查学生的计算能力和应用能力，画出图像是解题的关键.第Ⅱ卷(非选择题共110分)二、填空题:本大题共5小题，每小题5分，共25分. 11.在61()x x+的展开式中，常数项为________.(用数字作答) 【答案】20 【解析】 【分析】61()x x+的展开式的通项为6216-+=r r r T C x ，取3r =计算得到答案.【详解】61()x x +的展开式的通项为：6621661rr r r rr T C x C xx --+⎛⎫== ⎪⎝⎭，取3r =得到常数项3620C =.故答案为：20.【点睛】本题考查了二项式定理，意在考查学生的计算能力.12.若向量()()221a x b x ==，，，满足3a b ⋅<，则实数x 的取值范围是____________. 【答案】()3,1- 【解析】 【分析】根据题意计算223a b x x ⋅=+<，解得答案.【详解】()()221a x b x ==，，，，故223a b x x ⋅=+<，解得31x -<<. 故答案为：()3,1-.【点睛】本题考查了向量的数量积，意在考查学生的计算能力.13.设双曲线2221(0)4x y b b -=>的一条渐近线方程为2y x =，则该双曲线的离心率为____________.【解析】 【分析】根据渐近线得到b =c =.【详解】2221(0)4x y b b -=>，一条渐近线方程为：y x =，故b =c =6c e a.故答案为：2【点睛】本题考查了双曲线的渐近线和离心率，意在考查学生的计算能力. 14.函数()24f x sin x π⎛⎫=+⎪⎝⎭的最小正周期为________;若函数()f x 在区间()0α，上单调递增，则α的最大值为________.【答案】 (1). π (2). 8π 【解析】 【分析】直接计算得到答案，根据题意得到2,2444x πππα⎛⎫+∈+ ⎪⎝⎭，242ππα+≤，解得答案.【详解】()sin 24f x x π⎛⎫=+ ⎪⎝⎭，故22T ππ==，当()0,x α∈时，2,2444x πππα⎛⎫+∈+ ⎪⎝⎭， 故242ππα+≤，解得8πα≤.故答案为：π；8π. 【点睛】本题考查了三角函数的周期和单调性，意在考查学生对于三角函数知识的综合应用. 15.在一次体育水平测试中，甲、乙两校均有100名学生参加，其中:甲校男生成绩的优秀率为70%，女生成绩的优秀率为50%;乙校男生成绩的优秀率为60%，女生成绩的优秀率为40%.对于此次测试，给出下列三个结论:①甲校学生成绩的优秀率大于乙校学生成绩的优秀率;②甲、乙两校所有男生成绩的优秀率大于甲、乙两校所有女生成绩的优秀率;③甲校学生成绩的优秀率与甲、乙两校所有学生成绩的优秀率的大小关系不确定.其中，所有正确结论的序号是____________. 【答案】②③ 【解析】 【分析】根据局部频率和整体频率的关系，依次判断每个选项得到答案. 【详解】不能确定甲乙两校的男女比例，故①不正确；因为甲乙两校的男生的优秀率均大于女生成绩的优秀率，故甲、乙两校所有男生成绩的优秀率大于甲、乙两校所有女生成绩的优秀率，故②正确；因为不能确定甲乙两校的男女比例，故不能确定甲校学生成绩的优秀率与甲、乙两校所有学生成绩的优秀率的大小关系，故③正确. 故答案为：②③.【点睛】本题考查局部频率和整体频率的关系，意在考查学生的理解能力和应用能力. 三、解答题:本大题共6小题，共85分.解答应写出必要的文字说明、证明过程或演算步骤.16.如图，在四棱柱1111ABCD A B C D -中，1AA ⊥平面ABCD ，底面ABCD 满足AD ∥BC ，且1222.AB AD AA BD DC =====，(Ⅰ)求证:AB ⊥平面11ADD A ;(Ⅱ)求直线AB 与平面11B CD 所成角的正弦值.【答案】(Ⅰ) 证明见解析；(Ⅱ)66【解析】 【分析】(Ⅰ)证明1AA AB ⊥，根据222AB AD BD +=得到AB AD ⊥，得到证明.(Ⅱ) 如图所示，分别以1,,AB AD AA 为,,x y z 轴建立空间直角坐标系，平面11B CD 的法向量()1,1,2n =，()2,0,0AB =，计算向量夹角得到答案.【详解】(Ⅰ) 1AA ⊥平面ABCD ，AB平面ABCD ，故1AA AB ⊥.2AB AD ==，22BD =，故222AB AD BD +=，故AB AD ⊥.1AD AA A ⋂=，故AB ⊥平面11ADD A .(Ⅱ)如图所示：分别以1,,AB AD AA 为,,x y z 轴建立空间直角坐标系， 则()0,0,0A ，()2,0,0B ，()12,0,2B ，()2,4,0C ，()10,2,2D .设平面11B CD 的法向量(),,n x y z =，则11100n B C n B D ⎧⋅=⎪⎨⋅=⎪⎩，即420220y z x y -=⎧⎨-+=⎩，取1x =得到()1,1,2n =，()2,0,0AB =，设直线AB 与平面11B CD 所成角为θ故6sin cos ,626n AB n AB n ABθ⋅====⋅.【点睛】本题考查了线面垂直，线面夹角，意在考查学生的空间想象能力和计算能力. 17.已知ABC 满足 ，且263b A π==，，求sinC 的值及ABC 的面积.（从①4B π=，②3a =32a sinB =这三个条件中选一个，补充到上面问题中，并完成解答.）【答案】见解析 【解析】 【分析】 选择①时：4B π=,23A π=，计算62sin 4C =3a =，计算面积得到答案；选择②时，3a =6b ，故B A >，A 为钝角，故无解；选择③时，32a B =，根据正弦定理解得2sin B 62sin 4C =，根据正弦定理得到3a =，计算面积得到答案.详解】选择①时：4B π=,23A π=，故()62sin sin sin cos cos sin C A B A B A B -=+=+=根据正弦定理：sin sin a b A B =，故3a =，故1933sin 2S ab C -==. 选择②时，3a =，6b =，故B A >，A 为钝角，故无解.选择③时，32sin a B =，根据正弦定理：sin sin a bA B=，故6sin 332sin B B =， 解得2sin B =，()62sin sin sin cos cos sin 4C A B A B A B -=+=+=. 根据正弦定理：sin sin a b A B =，故3a =，故1933sin 2S ab C -==. 【点睛】本题考查了三角恒等变换，正弦定理，面积公式，意在考查学生的计算能力和综合应用能力.18.2021年底，北京2022年冬奥组委会启动志愿者全球招募，仅一个月内报名人数便突破60万，其中青年学生约有50万人.现从这50万青年学生志愿者中，按男女分层抽样随机选取20人进行英语水平测试，所得成绩(单位:分)统计结果用茎叶图记录如下:(Ⅰ)试估计在这50万青年学生志愿者中，英语测试成绩在80分以上的女生人数;(Ⅱ)从选出的8名男生中随机抽取2人，记其中测试成绩在70分以上的人数为X ，求X 的分布列和数学期望;(Ⅲ)为便于联络，现将所有的青年学生志愿者随机分成若干组(每组人数不少于5000)，并在每组中随机选取m 个人作为联络员，要求每组的联络员中至少有1人的英语测试成绩在70分以上的概率大于90%.根据图表中数据，以频率作为概率，给出m 的最小值.(结论不要求证明) 【答案】(Ⅰ)5万；(Ⅱ)分布列见解析，()34E X = ；(Ⅲ)4 【解析】【分析】(Ⅰ)根据比例关系直接计算得到答案.(Ⅱ) X 的可能取值为0,1,2，计算概率得到分布列，再计算数学期望得到答案.(Ⅲ) 英语测试成绩在70分以上的概率为101202p == ，故1190%2m⎛⎫<- ⎪⎝⎭，解得答案. 【详解】(Ⅰ)样本中女生英语成绩在80分以上的有2人，故人数为：250520⨯=万人. (Ⅱ) 8名男生中，测试成绩在70分以上的有3人，X 的可能取值为：0,1,2.()25285014C p X C ===，()11532815128C C p X C ===，()23283328C p X C ===.故分布列为：()515330121428284E X =⨯+⨯+⨯=. (Ⅲ) 英语测试成绩在70分以上的概率为101202p == ，故1190%2m⎛⎫<- ⎪⎝⎭，故4m ≥. 故m 的最小值为4.【点睛】本题考查了样本估计总体，分布列，数学期望，意在考查学生的计算能力和综合应用能力.19.设函数()()22f x alnx x a x =+-+，其中.a R ∈(Ⅰ)若曲线()y f x =在点()()22f ，处切线的倾斜角为4π，求a 的值; (Ⅱ)已知导函数()'f x 在区间()1e ，上存在零点，证明:当()1x e ∈，时，()2f x e >-. 【答案】(Ⅰ)2a =；(Ⅱ)证明见解析 【解析】 【分析】(Ⅰ)求导得到()()'22a f x x a x =+-+，()'ta 12n 4f π==，解得答案. (Ⅱ) ()()()12'0x x a f x x--==，故02a x=，()f x 在()01,x 上单调递减，在()0,x e 上单调递增，()20000min 2ln 2f x x x x x =--，设()22ln 2g x x x x x =--，证明函数单调递减，故()()2min g x g e e >=-，得到证明.【详解】(Ⅰ)()()2ln 2f x a x x a x =+-+，故()()'22af x x a x=+-+， ()()'42tan 1242a f a π=+-+==，故2a =. (Ⅱ) ()()()()12'220x x a af x x a x x--=+-+==，即()22,a x e =∈，存在唯一零点， 设零点为0x ，故()()000'220af x x a x =+-+=，即02a x =， ()f x 在()01,x 上单调递减，在()0,x e 上单调递增，故()()()()0220000i 0000m n ln 22ln 22a x x a x x x f x f x x x x +-+=+-+==200002ln 2x x x x =--，设()22ln 2g x x x x x =--，则()'2ln 2g x x x =-，设()()'2ln 2h x g x x x ==-，则()2'20h x x=-<，()h x 单调递减， ()()1'12h g ==-，故()'2ln 20g x x x =-<恒成立，故()g x 单调递减. ()()2min g x g e e >=-，故当()1x e ∈，时，()2f x e >-.【点睛】本题考查了函数切线问题，利用导数证明不等式，转化为函数的最值是解题的关键.20.设椭圆22:12x E y +=，直线1l 经过点()0M m ，，直线2l 经过点()0N n ，，直线1l 直线2l ，且直线12l l ，分别与椭圆E 相交于A B ，两点和C D ，两点.(Ⅰ)若M N ，分别为椭圆E 的左、右焦点，且直线1l x ⊥轴，求四边形ABCD 的面积; (Ⅱ)若直线1l 的斜率存在且不为0，四边形ABCD 为平行四边形，求证:0m n +=;(Ⅲ)在(Ⅱ)的条件下，判断四边形ABCD 能否为矩形，说明理由. 【答案】(Ⅰ) (Ⅱ)证明见解析；(Ⅲ)不能，证明见解析 【解析】 【分析】(Ⅰ)计算得到故2A ⎛⎫- ⎪ ⎪⎝⎭，1,2B ⎛-- ⎝⎭，1,2C ⎛ ⎝⎭，1,2D ⎛⎫- ⎪ ⎪⎝⎭，计算得到面积. (Ⅱ) 设1l 为()y k x m =-，联立方程得到2122221224212221k mx x k k m x x k ⎧+=⎪⎪+⎨-⎪=⎪+⎩，计算AB =，同理CD =AB CD =得到22m n =，得到证明.(Ⅲ) 设AB 中点为(),P a b ，根据点差法得到20a kb +=，同理20c kd +=，故112PQ k k k=-≠-，得到结论. 【详解】(Ⅰ)()1,0M -，()1,0N ，故A ⎛- ⎝⎭，1,2B ⎛-- ⎝⎭，C ⎛ ⎝⎭，1,D ⎛ ⎝⎭. 故四边形ABCD的面积为S =(Ⅱ)设1l 为()y k x m =-，则()2212x y y k x m ⎧+=⎪⎨⎪=-⎩，故()22222214220k x k mx m k +-+-=，设()11,A x y ，()22,B x y ，故2122221224212221k m x x k k m x x k ⎧+=⎪⎪+⎨-⎪=⎪+⎩，12AB x =-==同理可得CD =，AB CD ==， 即22m n =，m n ≠，故0m n +=.(Ⅲ)设AB 中点为(),P a b ，则221112x y +=，222212x y +=，相减得到()()()()1212121202x x x x y y y y +-++-=，即20a kb +=，同理可得：CD 的中点(),Q c d ，满足20c kd +=， 故11222PQ d b d b k c a kd kb k k--===-≠---+，故四边形ABCD 不能为矩形. 【点睛】本题考查了椭圆内四边形的面积，形状，根据四边形形状求参数，意在考查学生的计算能力和综合应用能力. 21.对于正整数n ，如果()*k k N∈个整数12ka a a ⋯，，，满足121k a a a n ≤≤≤⋯≤≤，且12k a a a n ++⋯+=，则称数组()12k a a a ⋯，，，为n 的一个“正整数分拆”.记12k a a a ⋯，，，均为偶数的“正整数分拆”的个数为12n k f a a a ⋯，，，，均为奇数的“正整数分拆”的个数为n g .(Ⅰ)写出整数4的所有“正整数分拆”;(Ⅱ)对于给定的整数()4n n ≥，设()12k a a a ⋯，，，是n 的一个“正整数分拆”，且12a =，求k 的最大值;(Ⅲ)对所有的正整数n ，证明:n n f g ≤;并求出使得等号成立的n 的值.(注:对于n 的两个“正整数分拆”()12k a a a ⋯，，，与()12m b b b ⋯，，，，当且仅当k m =且1122k m a b a b a b ==⋯=，，，时，称这两个“正整数分拆”是相同的.)【答案】(Ⅰ) ()1,1,1,1，()1,1,2，()1,3，()2,2，()4；(Ⅱ) n 为偶数时，2nk =，n 为奇数时，12n k -=；(Ⅲ)证明见解析，2n =，4n = 【解析】 【分析】(Ⅰ)根据题意直接写出答案.(Ⅱ)讨论当n 为偶数时，k 最大为2n k =，当n 为奇数时，k 最大为12n k -=，得到答案.(Ⅲ) 讨论当n 为奇数时，0n f =，至少存在一个全为1的拆分，故n n f g <，当n 为偶数时， 根据对应关系得到n n f g ≤，再计算221f g ==，442f g ==，得到答案.【详解】(Ⅰ)整数4的所有“正整数分拆”为：()1,1,1,1，()1,1,2，()1,3，()2,2，()4.(Ⅱ)当n 为偶数时，123...2k a a a a =====时，k 最大为2n k =； 当n 为奇数时，1231...2,3k k a a a a a -======时，k 最大为12n k -=；综上所述：n 为偶数，k 最大为2n k =，n 为奇数时，k 最大为12n k -=.(Ⅲ)当n 为奇数时，0n f =，至少存在一个全为1的拆分，故n n f g <； 当n 为偶数时，设()12,,...,k a a a 是每个数均为偶数的“正整数分拆”，则它至少对应了()1,1,...,1和()121,1,...,1,1,...,1k a a a ---的均为奇数的“正整数分拆”， 故n n f g ≤. 综上所述：n n f g ≤.当2n =时，偶数“正整数分拆”为()2，奇数“正整数分拆”为()1,1，221f g ==； 当4n =时，偶数“正整数分拆”为()2,2，()4，奇数“正整数分拆”为()1,1,1,1，()1,3 故442f g ==；当6n ≥时，对于偶数“正整数分拆”，除了各项不全为1的奇数拆分外，至少多出一项各项均为1的“正整数分拆”，故n n f g <.综上所述：使n n f g =成立的n 为：2n =或4n =.【点睛】本土考查了数列的新定义问题，意在考查学生的计算能力和综合应用能力.。
2024北京西城区高三一模英语试题及答案
2024北京西城高三一模英 语第一部分：知识运用（共两节，30分）第一节（共10小题；每小题1. 5分，共15分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
When Susan was a high school senior, her English teacher Mr. DiMeo gave the class a challenging task: Recite a poem in front of the whole class."I had a mild stutter（结巴）. I'd be 1 to get a word out that might begin with 'D'or 'TH', or I might say 'the' three times, " Susan said. The thought of getting up in front of her classmates and stuttering through the poem was too much to 2 .Susan went home and 3 how scared she was to her mom, who agreed to write a note asking for her to be 4 from doing the task in front of the whole class.When the day of the recitation came, Susan recited the poem one-on-one to Mr. DiMeo. 5 she was done, Mr. DiMeo said something she'd never heard before: that he liked listening to her voice. For the first time, she considered the possibility that public speaking didn't have to be a source of 6 .Susan went on to graduate from high school and go to college. She never got to properly thank Mr. DiMeo. But sometime after college, she 7 a job as a corporate trainer. The new position made her realize how big a（n） 8 he had had on her confidence."I stand up in front of people and speak, and I do it all the time. If I do stutter once in a while, no big deal, " she said. Susan recently found a way to 9 her former teacher, and plans on sending him a letter expressing her appreciation.In her mind, Mr. DiMeo is an unsung hero, because he's a big reason why she has a successful career and life. "I don't know where I would've gone if I felt like I had to keep my voice 10 because I was afraid of embarrassing myself. I'd like to thank him for that kindness. "1. A. continuing B. struggling C. pretending D. hoping2. A. share B. express C. find D. bear3. A. taught B. proved C. revealed D. promised4. A. excused B. prohibited C. corrected D. discouraged5. A. While B. Although C. Unless D. Once6. A. jealousy B. worry C. boredom D. loneliness7. A. wanted B. offered C. landed D. created8. A. impact B. idea C. choice D. stress9. A. judge B. contact C. study D. interview10. A. sweet B. loud C. quiet D. deep第二节（共10小题；每小题1. 5分，共15分）阅读下列短文，根据短文内容填空。
2022届北京市西城区高三一模英语试卷(含答案)
2022届北京市西城区高三一模英语试卷2022.4第一部分：知识运用（共两节，30分）第一节（共10小题；每小题1.5分，共15分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
A mystery man, known as Benny, has been spreading happiness-one $100 bill at a time for more than three years in and around Salem, Oregon.He randomly 1 the bills in shops to be found, surprising and delighting unsuspecting shoppers. When it appeared that others might be trying to copy him, he started 2 his bills.It is estimated that he has hidden more than $50,000 worth of $100 bills, and that's only what has been reported. Some people have been keeping track of__3__ the bills are found, and notice that he has left them in stores, markets and fairs. Those who find one all have a similar tale about being .__4___ when a $100 bill, with the mark of “Benny”, falls out of the packaging of something.It is _5 how these bills always seem to end up in the right hands. They have helped people pay their electric bill, make their rent, and even provide the homeless with____6 for a couple of nights. But the real magic of Benny is that more than half of the__7 report paying it forward to their favorite non-profit or a stranger in need. Some of the most heartwarming stories involve children. 8 shopping for toys. they decide to buy school supplies for their classmates or groceries for the local food bank.The bills are so9 by some of the people who find them that they post them on their refrigerators or carry them in their purses. It's a10_, they say, to give and be like Benny.1.A.covers B.buries C.hides D.stores2.A.returning B.checking C.changing D.signing3.A.when B. where C.how D.why4.A.amazed B.impressed C.inspired D.amused5.A.acceptable B.understandable C.memorable D.remarkable6.A.food B.clothing C.shelter D.transport7.A.finders B.sellers C.losers D.beggars8.A.Thanks to B.Instead of C.But for D.Apart from9.A.protected B.recommended C.treasured D.expected10.A.chance B.challenge C.record D.reminder第二节（共10小题；每小题1.5分，共15分）阅读下列短文，根据短文内容填空。
2021北京西城高考一模英语(含解析)
2021北京西城高考一模英语(含解析)北京市西城区2021年高三一模试卷英语试题第二部分：知识运用（共两节，45分）第一节单项填空（共15小题；每小题1分，共15分）从每题所给的A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在答题卡上将该项涂黑。
21. I need to get another dictionary, because ______ cover is dirty and______ page is missing. A. a, a B. a; the C. the; a D. the, the 22. --This is the most exciting movie I have ever watched.-- Where did you get that DVD? I _______ to find it since last summer. A. was trying B. tried C. had tried D. have been trying 23. ______ people’sliving standards, the central government will take more measures in the coming years.A. To raiseB. RaiseC. RaisingD. Raised 24. He suddenly fell ill, ______ prevented him from attending his friend’s wedding. A. why B. what C. that D. which 25. -- What’s the result of the football match? -- Listen! The latest news about it ______. A. broadcast B. will broadcast C. is being broadcast D. has been broadcast 26. -- What should I wear to the party?-- Well, it isn’t very formal. You ______ wear whatever you like. A. can B. must C. should D. need27. There’s no snake known that will habitually attack human beingsunless ______ with its life. A. threaten B. threatened C. threatening D. having threatened 28. -- Honey, what would you like to have?--I've looked through the menu, but I can't decide ______ to order. A. when B. where C. what D. how 29. He told me to start early, _______me that the roads would be crowded. A. reminding B. to remind C. reminded D. remind 30. -- Have you got enough members?-- Carol says she will join us ______ the salary meets her expectations. A. until B. if C. though D. unless31. Even though Sara had practiced her speech repeatedly, she ______ its conclusion at the talk show. A. forgets B. has forgotten C. forgot D. had forgotten 32. After looking at many new cars, I found ______ which I would accept just as suitable. A. it B. this C. that D. one 33. I might be able to tell you which bus to take if I knew _____ on the map we are now. A. that B. where C. what D. how 34. If you had brought your swimsuit with you, we________ swimming in the lake now. A. could go B. could have gone C. can go D. have gone 35. -- What a nice jacket! It looks good on me!-- Don’t you think it is too tight ______ the shoulders? A. beyond B. between C. from D. across 第二节完形填空（共20小题；每小题1.5分，共30分）阅读下面短文，掌握其大意，从每题所给的A、B、C、D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。
2024届北京市西城区高三下学期一模英语试题(高频考点)
2024届北京市西城区高三下学期一模英语试题(高频考点)一、听力选择题1.A．They don’t have a normal childhood.B．They may outgrow their celebrity later.C．The pressure they are under pays off.D．Their parents don’t consider their feelings.2. Where does the conversation take place?A．On a beach.B．In a hospital.C．Over the phone.3. How did the man get the news?A．The teacher told him.B．He was informed by the woman.C．He got the news from an email.4. What mistake did the woman make last night?A．She was 8 minutes late.B．She was 20 minutes early.C．She was 20 minutes late.5.A．Where the woman heard the news.B．How the woman feels about the news.C．If the woman is going to lose her job.D．What the woman is going to buy in the store.二、听力选择题6. 听下面一段较长对话，回答以下小题。
1. How does the woman feel about math now?A．Interested.B．Anxious.C．Unconcerned.2. What are the speakers mainly talking about?A．A subject.B．A student.C．A teacher.7. 听下面一段较长对话，回答以下小题。
2024届北京市西城区高三下学期一模英语试题
一、听力选择题二、听力选择题1. Which day did the woman get her laptop?A ．On New Year’s Day.B ．On Singles’ Day.C ．On her birthday.2. How does the man feel?A ．Quite sad.B ．Very disappointed.C ．Very thankful.3. What does the man want the woman to do?A ．Read a letter to him.B ．Offer advice on his letter.C ．Write a letter of thanks for him.4. Where does the conversation probably take place?A ．At home.B ．In a restaurant.C ．In a supermarket.5. How does the man sound?A ．Regretful.B ．Stressed.C ．Confident.6. 听下面一段较长对话，回答以下小题。
1.A ．To collect money for some medical research.B ．To recover from the loss of family members.C ．To realize the dream of their parents.D ．To become more physically fit.2.A ．She never tried running before.B ．She found a running expert to train her.C ．She stopped running if it rained.D ．She gradually ran longer distance.3.A ．It might distract her while running.B ．It helped her perform better in a race.C ．It got her to be more motivated.D ．It might annoy some other friends.4.A ．It cured cancer.B ．It gave a sense of achievement.C ．It brought fame.D ．It was financially rewarding.7. 听下面一段较长对话，回答以下小题。
2023年北京市西城高三高考一模英语试卷含答案
2023年北京市西城高三高考一模英语试卷含答案请注意，以下是2023年北京市西城区高三高考一模英语试卷，包含试题和答案。
试卷分为四个部分：听力理解、阅读理解、语法填空和写作。
请仔细阅读并准确回答每个问题。
Part I: 听力理解（共20小题，每小题1分，满分20分）请听录音并回答以下问题。
1. B2. C3. A4. A5. B6. C7. A8. B9. C 10. A11. B 12. C 13. A 14. A 15. B16. C 17. B 18. A 19. C 20. BPart II: 阅读理解（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。
Passage 1:A) 6 B) 4 C) 3 D) 7A) South Korea B) Japan C) China D) North KoreaA) 220 B) 165 C) 110 D) 330A) It can be difficult to spot signs of suicidal tendencies.B) It takes a long time for someone to develop suicidal thoughts.C) Suicide is the leading cause of death among young people.D) Men are less likely to experience suicidal thoughts.A) Developing close relationships with their children.B) Encouraging their children to seek therapy.C) Actively addressing mental health issues.D) Teaching their children coping mechanisms.Passage 2:A) They are the smallest turtles in the world.B) They live in the rainforests of South America.C) They have colorful patterns on their shells.D) They are endangered due to illegal pet trade.A) Provide appropriate habitat for the species.B) Educate the local population about conservation.C) Limit the access of tourists to certain areas.D) Establish breeding programs in zoos.A) Traditional medicine B) Illegal pet trade C) Deforestation D) Habitat lossA) In different countries B) On different continentsC) On different planets D) In different ecosystemsA) 50 B) 100 C) 70 D) 120Part III: 语法填空（共10小题，每小题1分，满分10分）下面短文中有10处语法错误。