广东省佛山市南海区超盈实验中学2019-2020学年第一学期第一次段考试卷-七年级数学(扫描版 无答案)

2019-2020学年佛山市南海区南海中学高三英语一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ASome colleges have started offering their own gap year programs to support students who want to take a year off in a meaningful way. Below, we’ll look at four of these programs.American University Gap ProgramWhen to apply: By July 15 or November 15Is there funding available? No.In American University Gap Program, students spend three days per week with a government or business organization in the city. Students go on field trips, listen to guest speakers, take part in hands-on lessons and work on service projects as a group. Students who complete the program can earn seven credits.Duke University Gap Year ProgramWhen to apply: By early May of each yearIs there funding available? Yes, $5,000 to $15,000.Though Duke University has no course of study or experience for its gap year program, it encourages students to have an independent plan for their year off, particularly one that promotes personal growth. Independent experiences may include community service, personalized experiential learning opportunities and others.Florida State University Gap YearWhen to apply: By February 24Is there funding available? Yes, up to $5,000.Florida State University offers gap year funding to students wishing to work or volunteer before starting college. In order to get the momey, students must explain their plans for their gap year. The experience must last over one year.St Norbert College Bridge Year ExperienceWhen to apply: not specifiedIs there funding available? Not specified.Students taking part in the Bridge Year Experience can travel to locations such as New Mexico, Wisconsin and Guatemala during the fall term, where they learn about the local cultures, take courses and get serviceopportunities.1.What does Duke University advise students to do during their gap year?A.Focus on their personal growth.B.Be independent of their parents.C.Apply before the end of November.D.Contact some off-campus organization.2.How can students get gap year funding from Florida State University?A.By having extra credits.B.By organizing several projects.C.By showing their gap plans.D.By doing volunteer work.3.If you are interested in travelling, you can choose ________.A.Florida State University Gap YearB.American University Gap ProgramC.Duke University Gap Year ProgramD.St. Norbert College Bridge Year ExperienceBAccording to statistics published by the BPI (Buying Power Index) a couple of months ago, digital streaming (流媒体) now accounts for 80 percent of the music consumption in the UK. Despite the incredible growth of online streaming platforms like iTunes, Apple Music and Tidal over the past 15 years, a more traditional medium has also seen a return of interest and sales in the music industry. In 2020, almost one in five of all albums purchased in the UK is vinyl (黑胶唱片), and it has once again become the most popular physical musical medium.With digital streaming so easy and convenient, why are so many peopledrawn to traditional records? Some experts claim that vinyl is a physical medium for experiencing music, something tangible (有形的) to hold and own. For most people, having something tangible and interacting with it gives depth to the experience of music. Listening to an album and touching it the way the artist intended can make them feel more connected to the music and the artist. Records are physical products that can be not only displayed but also gifted, shared, traded and passed down through generations.Sound quality is another hot topic. A lot of music lovers feel that the analogue sound (模拟声音) vinyl offers is superior to modern digital audio, particularly with regards to the compressed formats streaming platforms use. There’s a common belief that old-school analogue audio has a warmer, fuller sound than digitised music. For vinyl followers, the very defect traditional recorders often have, such as the familiar crackle (劈啪作响) when the record starts, bring the music to life in a different way.There’s aritualisticaspect to vinyl that a lot of people are drawn to, too. The act of putting a recordon—carefully removing the record from the sleeve, placing it on the record player and gently dropping the needle on the right groove (凹槽)—is a more assiduous (一丝不苟的), mindful way of engaging with music. When you’re listening to vinyl, you can’t tap abutton and go about your day while the streaming service provides hours of music. You need to stay close to the record player to move the needle and flip the record over.It’s clear that the vinyl interest is well underway, and vinyl records are truly making a comeback. In an increasingly digital society, there’s something to be said for analogue experiences. Perhaps one of the great things about being alive in the 21st century is our ability to have the best of both worlds—the timeless appeal of physical records alongside the easy access to vast music libraries that streaming offers.4. What are the statistics published by the BPI used to show?A. An increase in music consumption.B. The recovery of music industry.C. A comeback of a physical medium.D. The acceptance of online streaming.5. According to some experts, why does vinyl interest many people?A. It attracts people by its realistic feel.B. It offers simple access to different music.C. It shares a new way to enjoy music.D. It provides people with perfect sound effect.6. The underlined word “ritualistic” in Para.4 means something ______.A. Overlooked by society.B. Updated very frequently.C. Performed as part of a ceremony.D. Kept for a long time without changing.7. How does the writer feel about the future development of music medium?A. Traditional records will get underway.B. The analogue experiences may matter more.C. Vinyl sales will boom with technological advance.D. There should be a good mix of old and new.CWhat will future schools look like in 100 years? Imagine future schools in which students are totally engagedin a class. They are concentrating on working together to solve real-world problems. They are self-driven and are coming up withamazing ideas on the spot. They are concerned with each other’s well-being as part of a team. Their concerns reach far beyond the classroom to others all over the globe.The school of the future will be an amazing melting pot of different peoples coming together to solve real-world problems.Will they even be called “schools” in the future?The teacher-student relationship is changing. Teachers are acting more as helpers rather than keepers of all knowledge. Students are driving their own education to the path that they feel best fits them. In the future, employers may not be as concerned with a diploma. They’ll look more at cases and examples of how students contribute to solving real-world problems. They’ll want to know how well they work in a team.What will problem-solving look like in the future?Information from the Internet is accessible everywhere and at unimaginable speeds. Kids are connected to news around the world in real time. Imagine someone could put out a request to the global community to help solve an issue in their own community! Classes can adopt an issue and work with other classes around the world in real time to create solutions.What will information look like in the future?It’s already everywhere. Users can get flooded by the constant flow of information. The need to understand what is true and what is not is important. The flipped classroom (翻转课堂) has already completely changed lecture-based lessons. It presents interesting content to students before they even come to class. They can access the Internet as many times as they want to review the lessons.8. What is the key message of the first paragraph?A. The things students will do in the future school.B. The situation where students will be in the future.C. The attention students will pay to in the classroom.D. The methods students will use to study in the classroom.9. What will be thought highly of when students solve real-world problems?A. Respect.B. Patience.C. Teamwork.D. Concern.10. What can we infer from the fourth paragraph?A. Teachers encourage students to develop leadership.B Students are really relaxed with their heavy study.C. The employers value students’ diplomas most.D. Students have the right to choose the most suitable lessons.11. What’s the purpose of the flipped classroom?A. To help students to improve the problem-solving ability.B. To provide the lessons for students to study before or after class.C. To help students to keep in contact with the outside world.D. To help students to understand the most difficult content.DA Singaporean company will feed airport food waste to mealworms before turning them into fish feed, aiming to cut the country's use of imported feed and offer a continuous alternative.Blue Aqua Internationalwill partner with Dnata, an air and travel services provider, to change organic waste at Singapore's Changi Airport into insect protein for aquacultural use, according to a statement Tuesday.The project looks to replace traditional fish and soybean meal as the main sources of protein for aquafeed. The insects will eat the food waste and change it into part of the body containing about 60 per cent protein. The dried baby worms will then be made into feed.These mealworms can be a continuous solution to several problems. Using a small land and giving out less carbon, they turn food waste into feed and offer an alternative source of protein. Ynsect SAS, a small French business that keeps mealworms to feed fish and pets, attracted money from investors includingIron Manmovie actor Robert Downey Jr. in a round of fund-raising last year.The deal will give Singapore's farmers access to domestically produced animal feed, which is traditionally bought from abroad. The Southeast Asian nation imports more than 90 percent of its food and has set a goal to produce a third of its food locally by 2030. It also aims to achieve a general recycling rate of 70 per cent by then. Presently, less than 20 per cent of Singapore's food waste is recycled.As part of the partnership, Dubai-based Dnata will add Blue Aqua to its list of suppliers to buy locally farmed seafood for its catering service.12. What is the function of mealworms?A. To cut the use of imported fish feed.B. To eat food waste and make fish feed.C. To domestically produce animal feed.D. To replace traditional fish and soybean meal.13. What does Paragraph 4 mainly talk about?A. The producers of the feed.B. The purpose of the projectC. The advantages of the project.D. The composition of the feed.14. What can we infer about Singapore from Paragraph 5?A. It is a rich country.B. It is short of self-produced food.C. Its recycling rate is very high now.D. Its farmers don't support the deal.15. What is the text mainly about?A. A new way to produce fish feed.B.An introduction to a company.C. A plan to reduce food waste.D. A deal to protect farmers.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。

佛山南海区2019-2020学年度九年级段一考试试卷（物理）考试范围：十三章到十六章；考试时间：100分钟；命题人：xxx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、单选题（每题3分，共21分）1．用分子的知识对下列现象的揭示，不正确的是（）A．变瘪的乒乓球放在热水中鼓起来，是由于分子间的间隔变大B．一块金属很难被压缩，说明分子间存在斥力C．做饭时炊烟袅袅，是由于分子做无规则的运动D．房间放一箱苹果，满屋飘香，是由于分子做无规则的运动2．关于内能、温度和热量，下列说法正确的是（）A．物体的内能跟物体的运动速度、物体的温度和物质状态都有关系B．不同燃料燃烧时，放出热量越多的热值越大C．质量和初温相同的水和煤油，放出相同热量时煤油温度降低得多D．内能总是从内能多的物体向内能少的物体转移3．上图是四冲程汽油机的工作示意图，下列说法正确的是（）A.这四个冲程的正确顺序是乙甲丁丙B.靠惯性完成的冲程是甲、乙、丁C.甲冲程中内能转化为机械能D.丁冲程中内能转化为化学能4．如图所示是丁丁同学做串联电路实验的实物电路，闭合开关S后，小灯泡L1、L2都不亮。

为了检查故障，丁丁用一段导线的两端接触a、b两点时，两灯仍不亮；接触c、d两点时，两灯还不亮；接触e、f两点时，两灯都亮了。

则下列对电路故障判断正确的是（）A．灯L1断路 B．灯L2断路C．开关S断路 D．灯L2短路5．以下是对欧姆定律表达式的几种理解，其中正确的是（）A．由UIR=可得URI=，表示在通过导体的电流一定时，R跟导体两端电压成正比B．由UIR=可得URI=，表示在导体两端电压一定时，R跟通过导体的电流成正比C．UIR=表示在导体电阻一定时，通过导体的电流跟导体两端电压成正比D．电阻是导体本身的一种属性，与材料、长度、横截面积、温度有关，还与电压和电流有关6. 高铁内的洗手间如果两个相邻的洗手间都有人并且锁住时，红灯亮表示“有人”。

广东省佛山市超盈实验中学高一物理第一学期10月月质量检测考试卷（ Word版含答案）一、选择题1．甲、乙两车在同一平直公路上同向运动，甲做匀加速直线运动，乙做匀速直线运动。

甲、乙两车的位置x随时间t的变化如图所示。

下列说法正确的是（）A．在时刻t1，两车速度相等B．在时刻t1，甲车追上乙车C．从t1到t2时间内的某时刻，两车速度相等D．从t1到t2时间内，甲车走过的路程大于乙车走过的路程2．他是第一个把实验引进力学的科学家，并且利用实验和数学逻辑推理相结合的方法研究物理学基本问题，从而有力地推进了人类科学认识的发展，这位科学家是A．爱因斯坦B．亚里士多德C．伽利略D．牛顿3．课间休息时，负责擦黑板的同学为方便老师下节课使用，将磁性板擦吸附在磁性黑板上如图所示，下列说法正确的是（）A ．板擦受到四个力作用，其中有三个力的施力物体是黑板B ．板擦受到的摩擦力大于重力C ．作用在板擦上的磁力和弹力是一对相互作用力D ．若磁力突然消失，板擦仍能保持静止不动4．在某次检测国产某品牌汽车的刹车性能时，通过传感器发现踩下刹车后，汽车的位移与时间的关系满足2305x t t =-，则关于该次测试，下列说法正确的是A ．汽车4s 内的位移是40mB ．汽车的加速度是﹣5m/s 2C ．汽车的初速度是20m/sD ．汽车刹车2s 后的速度是10m/s5．一个质点沿直线运动，其速度图象如图所示，则质点（ ）A ．在内做匀加速直线运动 B ．在内做匀速直线运动 C ．在内做匀加速直线运动 D ．在内保持静止6．如图所示，一个物体受到1N 、2N 、3N 、4N 四个力作用而处于平衡．现保持1N 、3N 、4N 三个力的方向和大小不变，而将2N 的力绕O 点旋转60°，此时作用在物体上的合力大小为( )A ．2 NB ．22 NC ．13 ND ．33 N7．下列仪器中，不属于直接测量国际单位制中三个力学基本单位对应的物理量的是 A ． B ． C ． D ．8．从离地面3m 高处竖直向上抛出一个小球，它上升5m 后回落，最后到达地面，在此过程中（ ）A．小球通过的路程是8m B．小球的位移大小是3mC．小球的位移大小是13m D．小球的位移方向是竖直向上9．第19届亚洲运动会将于2022年9月10日～9月25日在中国杭州举行．杭州是中国第三个取得夏季亚运会主办权的城市，图中的“莲花碗”是田径的主赛场，下列关于亚运会田径项目的叙述正确的是( )A．研究短跑运动员终点撞线时可将运动员看成质点B．在田径比赛中跑步运动员的比赛成绩是一个时间间隔C．短跑运动员跑100m和200m都是指位移D．高水平运动员400m比赛的平均速度有可能大于其他运动员200m比赛的平均速度10．在研究物体的运动时，力学中引入“质点”的概念，从科学方法上来说属于（）A．极限分析物理问题的方法B．观察实验的方法C．等效替代的方法D．建立理想物理模型的方法11．下列物理量中,不是矢量的是( )A．路程 B．位移 C．瞬时速度 D．加速度12．有下列几种情景，请根据所学知识选择对情景的分析和判断正确的说法 ( )A．嫦娥四号运载火箭点火后即将升空，因火箭还没运动，所以加速度一定为零B．高速公路上高速行驶的轿车紧急刹车，此时轿车速度变化很快，所以加速度也大C．运行的磁悬浮列车在轨道上高速行驶，因其速度很大，所以加速度也一定很大D．江泉高架桥的下桥匝道指示牌数字“40”，意思是车辆平均速度限定在40km/h及以下13．下列说法正确的是（）A．木块放在水平桌面上受到一个向上的弹力，这是由于木块发生微小形变而产生的B．质量均匀分布，形状规则的物体的重心可能在物体上，也可能在物体外C．摩擦力的方向总是与物体的运动方向相反D．已知磁铁间有相互作用，由此可知力可以离开物体而单独存在14．下列说法表示同一时刻的是（）A．第 3 s 末和第 4 s 初B．前 5s 内和第 5 s 内C．第 4 s 末和第 3 s 初D．第 2 s内和第 2s 末15．如图，在幼儿园的游乐场中，一小男孩从右侧梯子爬上滑梯，用时10s，然后在上面平台站了5s，接着从左侧的滑梯上由静止开始滑到水平地面，用时3s．下面关于他在滑梯上运动情况的说法中正确的是（）A．他爬上去和滑下来的路程相等B．他爬上去和滑下来的位移相同C．他在第15s末开始要下滑，指的是时间间隔D．他整个过程用时18s，指的是时间间隔16．如图所示，质量分别为m1和m2的木块A和B之间用轻质弹簧相连，在拉力F作用下，竖直向上做匀速直线运动．某时刻突然撤去拉力F，撤去F后的瞬间A和B的加速度大小为a A和a B，则A．a A=0，a B=gB．a A=g，a B=gC．a A=0，a B=122m mgm+D．a A=g，a B=122m mgm+17．汽车以10 m／s的速度在马路上匀速行驶，驾驶员发现正前方15 m处的斑马线上有行人，于是刹车礼让，汽车恰好停在斑马线前。

2019-2020学年佛山市南海第一中学高三英语一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AThese wonderful NYC attractions offer pay — what — you — wish days, free entry hours/days and other great stuff for local families.Staten IslandZooThere are plenty of creatures who call NYC home—the Staten Island Zoo is one of them. Once you’ve finished learning about the wildlife in the animal nursery, reptile (爬行动物) side rooms, horse barn and other areas of the attraction, make sure to mark your schedule for fun seasonal happenings, such as the Easter Egg Games and the scary, crazy Halloween Shows.Entry on Wednesdays is by suggested donation; children aged two and under free.Children’s Museum of the ArtsThe Children’s Museum of the Arts welcomes 135,000 little visitors each year through its doors. Once inside, the whole family can enjoy interactive programs, exhibitions (展览) and events that celebrate the changed power of the arts on youngsters and grown-ups alike.Pay-as-you-wish Thursdays, 3-6 p. m.Wave HillEveryone needs a few hours of calm now and then-kids included-and you’d be hard- pressed to find a more peaceful spot within city limits than Wave Hill the broad grounds located above the river, covering 28 acres of public gardens, plus woodlands and grasses to wander. Jump in on nature walks, story times and family art projects often led by local artists and free with general admission.Pay — as — you — wish Tuesdays and Saturdays,9 a. m — noon.New York Hall of ScienceNaturally, kids love it when the New York Hall of Science pleases them with neat exhibits and fun hands-on activities. The museum’s playground is themost attractivetochildren A tube slide (管道滑梯) will give little ones the knowledge on science topics, while the climbing area mirrors a giant spider web. There are also wind pipes, metal drums, sand- boxes and much more. What better way to make the mostout of science?Free entry Sep-Jun on Fridays, 2 — 5 p. m，and Sundays, 10 —11 a. m.1. What can children do in Staten Island Zoo?A. Feed injured animals.B. Join in seasonal activities.C. Build a home for creatures.D. Deal with the donations to the zoo.2. What do Children’s Museum of the Arts and Wave Hill have in common?A. They both have peaceful spots.B. They both are located by a river.C. They both have public gardens.D. They both have activities about arts.3. Which place can be free of charge for all?A. Wave Hill.B.Staten IslandZoo.C. New York Hall of Science.D. Children’s Museum of the Arts.BThe United Nations Educational, Scientific and Cultural Organization (UNESCO) included on December 17, 2020 China's Tai Chi on the RepresentativeList of the Intangible（无形的）Cultural Heritage of Humanity. The decision was announced during the online meeting of the UNESCO Intergovernmental Committee for the Safeguarding of the Intangible Cultural Heritage held from December 14 to19 inKingston, capital ofJamaica.“Born in the mid-17th century in a small village named Chenjiagou located in Central China's Henan province, Tai Chi is not only a kind of traditional Wushu integrated with slow movements and deep breathing, but is also deeply rooted in many areas of Chinese culture, such as medicine and philosophy,”Zhu Xianghua says, who is the son of the famous Tai Chi master Zhu Tiancai.Although it has spread to more than 150 countries and regions, attracting more than 100 million people to practice, the idea that Tai Chi is for the elderly has stopped many young people practicing the ancient Wushu. They think of it as a slow exercise, which is specially made and better suited for their grandparents. Instead, many young people are turning to the Indian practice of yoga（瑜伽）to relieve stress, which was placed on the UNESCO's List in 2019.In order to promote Tai Chi, joint efforts have been made from individuals and the Chinese government in thelast decades. Xi'an Jiaotong University requires students to learn Tai Chi. Wang Yunbing, a professor in the university's sports center, stressed that Tai Chi is not only good physical exercise-researchers from the American College of Rheumatology find that it can help manage several diseases but is also conned ted to ancient Chinese eivilization. Since 2014, the World Tai Chi Championships have been held every two years by the International Wushu Federation. It provides a platform for communication and learning between the Tai Chi masters and Tai Chi lovers around the globe. In January 2020, Tai Chi became an official event in the 2026 Dakar Youth Olympic Games.4. What does Zhu Xianghua say about Tai Chi in paragraph 2?A. It originated from fast Kung Fu action.B. It was born around the 1750s in a village.C. It is related to other cultural fields ofChina.D. It integrates Chinese medicine and western philosophy.5. Why do some young people choose to practice yoga instead of Tai Chi?A. They think it easier to practice yoga to keep fit.B. The elderly stop young people practicing Tai Chi.C. They consider Tai Chi is custom-built for old people.D. Yoga was included in the world culture earlier than Tai Chi.6. What is the main purpose of the last paragraph?A. To promote contemporary Chinese civilization.B. To show many efforts made to popularize Tai Chi.C. To stress the importance of Chinese Tai Chi masters.D. To advise people to practise Tai Chi to cure diseases.7.Which of the following is the best title for the passage?A. Tai Chi Steps on the UNESCO's List.B. Tai Chi is Competing against Yoga.C. Tai Chi Has Regained populate Globally.D. Opinions Greatly Differ on Tai Chi and Yoga.CMany cars in advertisements and on exhibition in the United States are red, blue or green, but almost 75 percent of new cars sold in the United States are black, white, silver orgray.Les Jackson is a reporter who writes about cars. He says the color1 s of cars Americans choose do not show dirt. He says that means the owners wash their cars less in order to save money. And he notes some areas that are suffering from water shortages do not permit people to wash their cars often.Dan Benton works for a company called Axalta, which makes supplies for international car makers. He says white cars are often sold more expensive than cars of other color1 s. And he notes that white cars “absorb(吸收)less energy” than cars of other color1 s. This means temperatures inside them are lower in warmer areas. Benton also says research at Monash University in Australia suggests that there is a lower risk of crashes during the day for white cars compared with darker ones.Car buyers in other countries also like white. Jane Harrington works for PPG Industries, a company that makes paint for cars. She said in China, buyers say white makes a small car look bigger.About 11 percent of cars sold in North America are red and 8 percent are blue. Green has become less popular. Benton notes that in the mid-1990s green was the most popular color1 in North America. Today, green is hard to find.Sometime in the future, people may not have to choose the color1 of their cars —— technology may let owners change their cars’ paint color1 anytime.8. What can we learn from Paragraph 2?A. Most Americans don’t like red cars.B. People in America are not allowed to wash their cars.C. Many people prefer to choose white cars in America.D. Americans may consider the cost of cleaning when choosing cars.9. Why do many people choose white cars?A. They are much cheaper than cars of other color1 s..B. They are much safer while crashing.C. They are bigger than cars of other color1 s.D. They are more comfortable inside in warmer areas.10. What do we know from the text?A. Les Jackson is a member of Axalta.B. Most Americans rarely wash their cars.C. PPG Industries mainly produces cars in China.D. Green cars were once popular in North America.11. What does the text mainly tell us?A. Choices of car color1 sB. How to buy a good car.C. Differences of car color1 s.D. Popular car color1 s in history.DThe idea came to him when he least expected it. Alvin Irby was at a barbershop when he saw one of his former students sitting in the shop with a bored look on his face. That’s when Irby realized that by pairing barbershops and books, he might be able to inspire young boys to read.Alvin Irby, a former kindergarten and first-grade teacher, knows how important it is for young children to read. He also knows that young boys in particular often don’t have adult male role models who inspire them to read. “Many young boys may literally never see a man reading in school during the years when they’re learning to read because there are so few male elementary school teachers,” Irby toldMashable.That’s where the barbershops come in. Four years ago, Irby launched Barbershop Books as a way to not just get books into the hands of young boys, but also to create community reading spaces in a place where kids go frequently. Since itsinceptionin 2013, the program has created kid-friendly reading spaces in 50 barbershops in 12 states throughout the United States.Irby isn’t the first person to see the connection between barbershops and books and boys. Hair stylist Courtney Holmes, launched a program a few years ago offering free haircuts to kids as long as they read to him while he cuts their hair.That’s the kind of environment that Irby wants to promote with his program. The reading spaces created by Barbershop Books help to spark an interest in books by showing kids that reading is about more than just spelling and vocabulary skills, it’s about making reading a low-stress activity that can help them relax, laugh and have fun.“Our belief is that if we can create positive reading experiences early and often for young boys, then they will choose to read for fun,” Irby noted, adding, “This is really what Barbershop Books is about, getting young boys to say three words: I’m a reader.”12. What happened to Alvin when he was at a barbershop?A. He found it easy for young people to get bored.B. He offered a barbershop to his former student.C. He thought of a way to encourage young readers.D. He realized the importance of reading for young boys.13. What is the function of Barbershop Books?A. To attract more customers who love films.B. To provide free haircuts to book lovers.C. To show the influence of reading on children.D. To create a reading environment fbr children.14. It can be inferred from the passage that ________.A. reading is a low-stress activity that is relaxingB. Barbershop Books is only suitable for young boysC. Irby attaches great importance to school educationD. Barbershop Books can arouse (引起) young people’s interest in reading15. What does the underlined word “inception” in the 3rdparagraph mean?A. discovery.B. success.C. popularity.D. beginning.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。

广东省佛山市超盈实验中学人教版高一下学期第一次质量检测物理试题一、选择题1．如图所示，一块橡皮用细线悬挂于O 点，用铅笔靠着线的左侧水平向右匀速移动，运动中始终保持悬线竖直，则橡皮运动的速度A ．大小和方向均不变B ．大小不变，方向改变C ．大小改变，方向不变D ．大小和方向均改变2．如图所示，若质点以初速度v 0正对倾角为θ＝37°的斜面水平抛出，要求质点到达斜面时位移最小，则质点的飞行时间为 ( )．A ．034v gB ．038v gC ．083v gD ．043v g3．小船横渡一条河，船头开行方向始终与河岸垂直．若小船相对水的速度大小不变时，小船的一段运动轨迹如图所示，则河水的流速（ ）A ．由A 到B 水速一直增大B ．由A 到B 水速一直减小C ．由A 到B 水速先增大后减小D ．由A 到B 水速先减小后增大4．如图所示一架飞机水平地匀速飞行，飞机上每隔1s 释放一个铁球，先后共释放4个，若不计空气阻力，则落地前四个铁球彼此在空中的排列情况是( )A．B．C．D．5．江中某轮渡站两岸的码头A和B正对，如图所示，水流速度恒定且小于船速.若要使渡船直线往返于两码头之间，则船在航行时应（）A．往返时均使船垂直河岸航行B．往返时均使船头适当偏向上游一侧C．往返时均使船头适当偏向下游一侧D．从A码头驶往B码头，应使船头适当偏向上游一侧，返回时应使船头适当偏向下游一侧6．在美国拉斯维加斯当地时间2011年10月16日进行的印地车世界锦标赛的比赛中，发生15辆赛车连环撞车事故，两届印第安纳波利斯500赛冠军、英国车手丹·威尔顿因伤势过重去世．在比赛进行到第11圈时，77号赛车在弯道处强行顺时针加速超越是酿成这起事故的根本原因，下面四幅俯视图中画出了77号赛车转弯时所受合力的可能情况，你认为正确的是( )A．B．C．D．7．竖直放置两端封闭的玻璃管内注满清水和一个用红蜡做成的圆柱体，玻璃管倒置时圆柱体能匀速运动，已知圆柱体运动的速度是5cm/s， =60°，如图所示，则玻璃管水平运动的速度是：（）A．5cm/s B．4.33cm/s C．2.5cm/s D．无法确定8．如图所示，竖直放置的两端封闭的玻璃管中注满清水，内有一个红蜡块能在水中以速度v匀速上浮．现当红蜡块从玻璃管的下端匀速上浮的同时，使玻璃管水平匀加速向右运动，则蜡块的轨迹可能是( )A．直线P B．曲线Q C．曲线R D．无法确定9．一个物体在7个恒力的作用下处于平衡状态，现撤去其中两个力，其它力大小和方向均不变．则关于物体的运动下列说法正确的是( )A．可能做圆周运动B．一定做匀变速曲线运动C．可能处于静止状态D．一定做匀变速直线运动10．物体分别以4v0和3v0的速度从倾角为37°和53°的斜坡上水平抛出，并分别落在各自的斜坡上，已知物体做平抛运动的时间分别为t1、t2，落地点离抛出点的距离分别为l1、l2，sin37°=0.6，cos37°=0.8，则下列说法中正确的是（）A．t1：t2=9：16 B．x1：x2=1：1 C．y1：y2=3：4 D．l1：l2=9：16 11．一阶梯如图所示，其中每级台阶的高度和宽度都是0.4m，一小球以水平速度v飞出，欲打在第四台阶上，则v的取值范围是（）A．6m/s22m/s<<B．22m/s 3.5m/sv<≤vC．2m/s6m/svv<<<<D．6m/s23m/s12．如图所示，ACB是一个半径为R的半圆柱面的横截面，直径AB水平，C为截面上的最低点，AC间有一斜面，从A点以大小不同的初速度v1、v2沿AB方向水平抛出两个小球，a和b，分别落在斜面AC和圆弧面CB上，不计空气阻力，下列判断正确的是（）A．初速度v1可能大于v2B．a球的飞行时间可能比b球长C．若v2大小合适，可使b球垂直撞击到圆弧面CB上D．a球接触斜面前的瞬间，速度与水平方向的夹角为45°13．如图所示是倾角为45°的斜坡，在斜坡底端P点正上方某一位置Q处以某一初速度水平向左抛出一个小球A，小球恰好能垂直落在斜坡上，运动时间为1t；小球B从Q处自由下落，下落至P点的时间为2t。

2020-2021学年广东省佛山市南海区九年级（上）第一次段测数学试卷一.选择题：（每小题3分，共30分）1．（3分）下列关于x的方程中，一定是一元二次方程的为（）A．ax2+bx+c＝0B．x+y＝2C．x2+3y﹣5＝0D．x2﹣1＝0 2．（3分）在一元二次方程2x2﹣9x+7＝0中，二次项系数和一次项系数分别为（）A．2，9B．2，7C．2，﹣9D．2x2，﹣9x 3．（3分）根据下列表格对应值：x 3.23 3.24 3.25 3.26 3.27 ax2+bx+c﹣0.05﹣0.020.010.030.45判断关于x的方程ax2+bx+c＝0（a≠0）的一个解x的范围是（）A．3.23＜x＜3.24B．3.24＜x＜3.25C．3.25＜x＜3.26D．3.26＜x＜3.274．（3分）方程x2+2x﹣3＝0的根的情况是（）A．没有实数根B．有两个不相等的实数根C．有两个相同的实数根D．不能确定5．（3分）方程（x﹣2）（x+3）＝0的解是（）A．x＝2B．x＝﹣3C．x1＝2，x2＝3D．x1＝2，x2＝﹣3 6．（3分）解方程x2﹣3x＝0较为合适的方法是（）A．直接开平方法B．配方法C．公式法D．分解因式法7．（3分）如图，在菱形ABCD中，AB＝5，∠BCD＝120°，则对角线AC等于（）A．20B．15C．10D．58．（3分）如图，矩形纸片ABCD中，AB＝6cm，BC＝8cm，现将其沿AE对折，使得点B 落在边AD上的点B1处，折痕与边BC交于点E，则CE的长为（）A．6 cm B．4 cm C．2 cm D．1 cm9．（3分）下列命题中，真命题是（）A．有两边相等的平行四边形是菱形B．对角线垂直的四边形是菱形C．四个角相等的菱形是正方形D．两条对角线相等的四边形是矩形10．（3分）如图，已知P是正方形ABCD对角线BD上一点，且BP＝BC，则∠ACP度数是（）A．45°B．22.5°C．67.5°D．75°二、填空题：（每小题4分，共24分）11．（4分）将方程3x2＝5（x+2）化为一元二次方程的一般式为．12．（4分）有两组相同的牌，每组两张且大小一样，两张牌的牌面数字分别是2和3．从每组牌中各摸出一张牌，两张牌的牌面数字和为6的概率是．13．（4分）已知一个菱形的两条对角线长分别为6cm和8cm，则这个菱形的面积为cm2．14．（4分）若x1，x2是一元二次方程2x2﹣3x﹣6＝0的两个根，则x1x2的值是，x1+x2的值是．15．（4分）某制药厂两年前生产1吨某种药品的成本是100万元，随着生产技术的进步，现在生产1吨这种药品的成本为81万元．设这种药品的成本的年平均下降率为x，则所列方程是：．16．（4分）在矩形ABCD中，AB＝1，AD＝，AF平分∠DAB，过点C作CE⊥BE于E，延长AF、EC交于点H，那么下列结论：①AF＝FH；②BO＝BF；③CA＝CH；④BE＝3ED．其中正确结论的序号是．三.解答题：（每小题6分，共18分）17．（6分）利用配方法解方程：x2+4x﹣3＝0．18．（6分）解方程：2（3﹣y）2＝5y﹣15．19．（6分）如图，矩形ABCD的对角线AC＝8cm，∠AOB＝60°，求BC的长．四.解答题：（每小题7分，共21分）20．（7分）在一块长为16m，宽为12m的矩形荒地上，要建造一个花园，并使花园所占面积为荒地面积的一半，小文的设计方案如图所示（所建花园是“十”字形的两个矩形，且他们的宽度一样），请你帮她求出图中的x值．21．（7分）在一个布口袋中装有除颜色不同，其他都相同的白、红、蓝三种颜色的小球各1只，甲乙两人进行摸球游戏：甲先从袋中摸出一球，看清颜色后放回，摇匀后再由乙从袋中摸出一球．（1）试用树状图（或列表法）表示两次摸球游戏所有可能的结果；（2）如果规定：若能配成紫色为甲胜，否则为乙胜．这个游戏公平吗？请说明原因．22．（7分）如图，在正方形ABCD中，点E、F分别在边AB、BC上，∠ADE＝∠CDF．（1）求证：AE＝CF；（2）连结DB交EF于点O，延长OB至点G，使OG＝OD，连结EG、FG，判断四边形DEGF是否是菱形，并说明理由．五.解答题：（每小题9分，共27分）23．（9分）某商场销售一批名牌衬衫，当销售价为299元时，平均每天可售出20件，每件盈利40元，为了扩大销售，增加盈利，尽快减少库存，商场决定采取适当的降价措施，经试销发现，如果每件衬衫每降价1元，商场平均每天可多售出2件，若商场平均每天要盈利1200元，每件衬衫定价应多少元？24．（9分）如图．在△ABC中，AB＝AC，AD为∠BAC的平分线，AN为△ABC外角∠CAM 的平分线，CE⊥AN，垂足为E．（1）求证：四边形ADCE是矩形．（2）若连接DE，交AC于点F，试判断四边形ABDE的形状（直接写出结果，不需要证明）．（3）△ABC再添加一个什么条件时，可使四边形ADCE是正方形．并证明你的结论．25．（9分）如图，在Rt△ACB中，∠C＝90°，AC＝30cm，BC＝25cm．动点P从点C出发，沿CA方向运动，速度是2cm/s；同时，动点Q从点B出发，沿BC方向运动，速度是1cm/s．（1）几秒后△PCQ是等腰三角形？（2）几秒后P、Q两点相距25cm？（3）设△CPQ的面积为S1，△ABC的面积为S2，在运动过程中是否存在某一时刻t，使得S1：S2＝2：5？若存在，求出t的值；若不存在，则说明理由．2020-2021学年广东省佛山市南海区九年级（上）第一次段测数学试卷参考答案与试题解析一.选择题：（每小题3分，共30分）1．（3分）下列关于x的方程中，一定是一元二次方程的为（）A．ax2+bx+c＝0B．x+y＝2C．x2+3y﹣5＝0D．x2﹣1＝0【分析】根据一元二次方程的定义进行判断．【解答】解：A、当a＝0时，该方程不是关于x的一元二次方程，故本选项错误；B、该方程中含有2个未知数，且未知数的最高次数是1，它属于二元一次方程，故本选项错误；C、该方程中含有2个未知数，且未知数的最高次数是2，它属于二元二次方程，故本选项错误；D、符合一元二次方程的定义，故本选项正确．故选：D．2．（3分）在一元二次方程2x2﹣9x+7＝0中，二次项系数和一次项系数分别为（）A．2，9B．2，7C．2，﹣9D．2x2，﹣9x【分析】根据方程的特点和二次项系数、一次项系数的定义找出即可．【解答】解：在一元二次方程2x2﹣9x+7＝0中，二次项系数和一次项系数分别为2，﹣9．故选：C．3．（3分）根据下列表格对应值：x 3.23 3.24 3.25 3.26 3.27 ax2+bx+c﹣0.05﹣0.020.010.030.45判断关于x的方程ax2+bx+c＝0（a≠0）的一个解x的范围是（）A．3.23＜x＜3.24B．3.24＜x＜3.25C．3.25＜x＜3.26D．3.26＜x＜3.27【分析】由于x＝3，24时，ax2+bx+c＝﹣0.02；x＝3.25时，ax2+bx+c＝0.01，则在3.24和3.25之间有一个值能使ax2+bx+c的值为0，于是可判断方程ax2+bx+c＝0一个解x的范围为3.24＜x＜3.25．【解答】解：∵x＝3.24时，ax2+bx+c＝﹣0.02；x＝3.25时，ax2+bx+c＝0.01，∴方程ax2+bx+c＝0一个解x的范围为3.24＜x＜3.25．故选：B．4．（3分）方程x2+2x﹣3＝0的根的情况是（）A．没有实数根B．有两个不相等的实数根C．有两个相同的实数根D．不能确定【分析】判断上述方程的根的情况，只要看根的判别式△＝b2﹣4ac的值的符号就可以了．【解答】解：∵a＝1，b＝2，c＝﹣3∴△＝b2﹣4ac＝22﹣4×1×（﹣3）＝16＞0∴方程有两个不等的实数根故选：B．5．（3分）方程（x﹣2）（x+3）＝0的解是（）A．x＝2B．x＝﹣3C．x1＝2，x2＝3D．x1＝2，x2＝﹣3【分析】方程利用因式分解法求出解即可．【解答】解：方程（x﹣2）（x+3）＝0，可得x﹣2＝0或x+3＝0，解得：x1＝2，x2＝﹣3，故选：D．6．（3分）解方程x2﹣3x＝0较为合适的方法是（）A．直接开平方法B．配方法C．公式法D．分解因式法【分析】利用因式分解法求解可得．【解答】解：∵x2﹣3x＝0，∴x（x﹣3）＝0，则x＝0或x﹣3＝0，解得x1＝0，x2＝3，∴解方程x2﹣3x＝0较为合适的方法是分解因式法，故选：D．7．（3分）如图，在菱形ABCD中，AB＝5，∠BCD＝120°，则对角线AC等于（）A．20B．15C．10D．5【分析】根据菱形的性质及已知可得△ABC为等边三角形，从而得到AC＝AB．【解答】解：∵AB＝BC，∠B+∠BCD＝180°，∠BCD＝120°∴∠B＝60°∴△ABC为等边三角形∴AC＝AB＝5故选：D．8．（3分）如图，矩形纸片ABCD中，AB＝6cm，BC＝8cm，现将其沿AE对折，使得点B 落在边AD上的点B1处，折痕与边BC交于点E，则CE的长为（）A．6 cm B．4 cm C．2 cm D．1 cm【分析】根据翻折变换的性质可以证明四边形ABEB1为菱形，得到BE＝AB，根据EC＝BC﹣BE计算得到答案．【解答】解：∵∠B1＝∠B＝90°，∠BAB1＝90°，∴四边形ABEB1为矩形，又AB＝AB1，∴四边形ABEB1为菱形，∴BE＝AB＝6，∴EC＝BC﹣BE＝2，故选：C．9．（3分）下列命题中，真命题是（）A．有两边相等的平行四边形是菱形B．对角线垂直的四边形是菱形C．四个角相等的菱形是正方形D．两条对角线相等的四边形是矩形【分析】利用菱形的判定定理、矩形的判定定理及正方形的判定定理分别判断后即可确定正确的选项．【解答】解：A、邻边相等的平行四边形是菱形，故错误，是假命题；B、对角线垂直的平行四边形是菱形，故错误，是假命题；C、四个角相等的菱形是正方形，故正确，是真命题；D、两条对角线相等的平行四边形是矩形，故错误，是假命题，故选：C．10．（3分）如图，已知P是正方形ABCD对角线BD上一点，且BP＝BC，则∠ACP度数是（）A．45°B．22.5°C．67.5°D．75°【分析】根据正方形的性质可得到∠DBC＝∠BCA＝45°又知BP＝BC，从而可求得∠BCP的度数，从而就可求得∠ACP的度数．【解答】解：∵ABCD是正方形，∴∠DBC＝∠BCA＝45°，∵BP＝BC，∴∠BCP＝∠BPC＝67.5°，∴∠ACP＝∠BCP﹣∠BCA＝67.5°﹣45°＝22.5°．故选：B．二、填空题：（每小题4分，共24分）11．（4分）将方程3x2＝5（x+2）化为一元二次方程的一般式为3x2﹣5x﹣10＝0．【分析】去括号，再移项，即可得出答案．【解答】解：3x2＝5（x+2），3x2＝5x+10，3x2﹣5x﹣10＝0，故答案为：3x2﹣5x﹣10＝0．12．（4分）有两组相同的牌，每组两张且大小一样，两张牌的牌面数字分别是2和3．从每组牌中各摸出一张牌，两张牌的牌面数字和为6的概率是．【分析】画出树状图，共有4个等可能的结果，两张牌的牌面数字和为6的有1个，由概率公式即可求解．【解答】解：画出树状图如图：共有4个等可能的结果，两张牌的牌面数字和为6的有1个，∴两张牌的牌面数字和为6的概率为；故答案为：．13．（4分）已知一个菱形的两条对角线长分别为6cm和8cm，则这个菱形的面积为24cm2．【分析】根据菱形的面积等于两对角线乘积的一半求得其面积即可．【解答】解：∵一个菱形的两条对角线长分别为6cm和8cm，∴这个菱形的面积＝×6×8＝24（cm2）．故答案为：24．14．（4分）若x1，x2是一元二次方程2x2﹣3x﹣6＝0的两个根，则x1x2的值是 1.5，x1+x2的值是﹣3．【分析】直接根据根与系数的关系求解．【解答】解：∵x1，x2是一元二次方程2x2﹣3x﹣6＝0的两个根，∴x1x2的值是1.5，x1+x2的值是﹣3．故答案为：1.5；﹣3．15．（4分）某制药厂两年前生产1吨某种药品的成本是100万元，随着生产技术的进步，现在生产1吨这种药品的成本为81万元．设这种药品的成本的年平均下降率为x，则所列方程是：100（1﹣x）2＝81．【分析】本题可设这种药品成本的年平均下降率为x，则一年前生成1吨这种药品的成本为100（1﹣x）万元，今年在100（1﹣x）万元的基础之又下降x，变为100（1﹣x）（1﹣x）即100（1﹣x）2万元，进而可列出方程．【解答】解：设这种药品成本的年平均下降率为x，则今年生成1吨这种药品的成本为100（1﹣x）2万元，根据题意得，100（1﹣x）2＝81．故答案为：100（1﹣x）2＝81．16．（4分）在矩形ABCD中，AB＝1，AD＝，AF平分∠DAB，过点C作CE⊥BE于E，延长AF、EC交于点H，那么下列结论：①AF＝FH；②BO＝BF；③CA＝CH；④BE ＝3ED．其中正确结论的序号是②③④．【分析】根据勾股定理求出AC，推出∠ABO，得到等边三角形AOB，推出OA＝AB＝OB，∠ABO＝∠BAO＝∠AOB＝60°，求出AB＝BF，根据平行线的性质和等腰三角形的性质求出BF＝AB，根据三角形外角性质求出∠H＝∠HAC，推出AC＝CH，AF≠FH，根据矩形性质推出DE＝OE＝OD即可求出答案．【解答】解：∵矩形ABCD，∴AD∥BC，∠BAD＝∠ABC＝90°，AO＝OC，OD＝OB，AC＝BD，∴AO＝OB＝OD，∵AB＝1，AD＝，由勾股定理得：AC＝2，∴∠ABD＝60°，∴△ABO是等边三角形，∴AB＝OA＝OB，∠BAO＝∠AOB＝60°，∵AF平分∠BAD，∴∠BAF＝∠DAF＝45°，∵∠DAF＝∠AFB，∴∠BAF＝∠BF A，∴BF＝AB＝OB，∴②正确；∵CE⊥BD，∠DOC＝∠AOB＝60°，∴∠ECO＝30°，∵∠F AC＝60°﹣45°＝15°，∴∠H＝∠ACE﹣∠CAF＝15°＝∠CAF，∴AC＝CH，∴③正确；∵CF和AH不垂直，∴AF≠FH，∴①错误；∵∠CEO＝90°，∠ECA＝30°，∴OE＝OC＝OD＝DE，BE＝3DE，∴④正确．故答案为：②③④．三.解答题：（每小题6分，共18分）17．（6分）利用配方法解方程：x2+4x﹣3＝0．【分析】利用配方法即可解方程．【解答】解：x2+4x﹣3＝0，x2+4x+4＝3+4，（x+2）2＝7，x+2＝±，∴x1＝﹣2+，x2＝﹣2﹣．18．（6分）解方程：2（3﹣y）2＝5y﹣15．【分析】利用因式分解法解方程．【解答】解：2（3﹣y）2＝5y﹣15，2（y﹣3）2＝5（y﹣3），2（y﹣3）2﹣5（y﹣3）＝0，（y﹣3）[2（y﹣3）﹣5]＝0，（y﹣3）（2y﹣11）＝0，y﹣3＝0或2y﹣11＝0，所以y1＝3，y2＝5.5．19．（6分）如图，矩形ABCD的对角线AC＝8cm，∠AOB＝60°，求BC的长．【分析】由矩形的性质得出OA＝OB＝4cm，再证明△AOB是等边三角形，得出OA＝AB ＝4cm，由勾股定理可得BC的长．【解答】解：∵四边形ABCD是矩形，∴OA＝AC＝4cm，OB＝BD，AC＝BD，∴OA＝OB＝4cm，∵∠AOB＝60°，∴△AOB是等边三角形，∴OA＝AB＝4cm，∴BC＝＝＝4（cm）．四.解答题：（每小题7分，共21分）20．（7分）在一块长为16m，宽为12m的矩形荒地上，要建造一个花园，并使花园所占面积为荒地面积的一半，小文的设计方案如图所示（所建花园是“十”字形的两个矩形，且他们的宽度一样），请你帮她求出图中的x值．【分析】根据花园所占面积为荒地面积的一半，构建方程求解即可．【解答】解：由题意，16x+12x﹣x2＝×12×16，整理得，x2﹣28x+96＝0，解得x＝4或24（舍弃），∴x的值为4．21．（7分）在一个布口袋中装有除颜色不同，其他都相同的白、红、蓝三种颜色的小球各1只，甲乙两人进行摸球游戏：甲先从袋中摸出一球，看清颜色后放回，摇匀后再由乙从袋中摸出一球．（1）试用树状图（或列表法）表示两次摸球游戏所有可能的结果；（2）如果规定：若能配成紫色为甲胜，否则为乙胜．这个游戏公平吗？请说明原因．【分析】（1）依据题意先用列表法或画树状图法分析所有等可能的出现结果即可；（2）根据概率公式先求出甲和乙各自胜的概率，然后进行比较即可得出答案．【解答】解：（1）根据题意列表如下：甲白红蓝乙白白，白红，白蓝，白红白，红红，红蓝，红蓝白，蓝红，蓝蓝，蓝共有9种等可能的情况数；（2）由图表可知共有9种等可能结果，其中能配成紫色的有2种结果，则甲胜的概率是，乙胜的概率是，因为＜，所以这个游戏不公平．22．（7分）如图，在正方形ABCD中，点E、F分别在边AB、BC上，∠ADE＝∠CDF．（1）求证：AE＝CF；（2）连结DB交EF于点O，延长OB至点G，使OG＝OD，连结EG、FG，判断四边形DEGF是否是菱形，并说明理由．【分析】（1）根据正方形的性质可得AD＝CD，∠A＝∠C＝90°，然后利用“角边角”证明△ADE和△CDF全等，根据全等三角形对应边相等可得AE＝CF；（2）求出BE＝BF，再求出DE＝DF，再根据到线段两端点距离相等的点在线段的垂直平分线可得BD垂直平分EF，然后根据对角线互相垂直平分的四边形是菱形证明．【解答】（1）证明：在正方形ABCD中，AD＝CD，∠A＝∠C＝90°，在△ADE和△CDF中，，∴△ADE≌△CDF（ASA），∴AE＝CF；（2）四边形DEGF是菱形．理由如下：在正方形ABCD中，AB＝BC，∵AE＝CF，∴AB﹣AE＝BC﹣CF，即BE＝BF，∵△ADE≌△CDF，∴DE＝DF，∴BD垂直平分EF，又∵OG＝OD，∴四边形DEGF是菱形．五.解答题：（每小题9分，共27分）23．（9分）某商场销售一批名牌衬衫，当销售价为299元时，平均每天可售出20件，每件盈利40元，为了扩大销售，增加盈利，尽快减少库存，商场决定采取适当的降价措施，经试销发现，如果每件衬衫每降价1元，商场平均每天可多售出2件，若商场平均每天要盈利1200元，每件衬衫定价应多少元？【分析】设每件衬衫降价x元，则每件衬衫的定价为（299﹣x）元，每件盈利（40﹣x）元，每天可售出（20+2x）件，根据平均每天的利润＝每件的利润×平均每天的销售量，即可得出关于x的一元二次方程，解之取其较大值即可得出结论．【解答】解：设每件衬衫降价x元，则每件衬衫的定价为（299﹣x）元，每件盈利（40﹣x）元，平均每天可售出（20+2x）件，依题意，得：（40﹣x）（20+2x）＝1200，整理，得：x2﹣30x+200＝0，解得：x1＝10，x2＝20，又∵尽快减少库存，∴x＝20，∴299﹣x＝279．答：每件衬衫定价应为279元．24．（9分）如图．在△ABC中，AB＝AC，AD为∠BAC的平分线，AN为△ABC外角∠CAM 的平分线，CE⊥AN，垂足为E．（1）求证：四边形ADCE是矩形．（2）若连接DE，交AC于点F，试判断四边形ABDE的形状（直接写出结果，不需要证明）．（3）△ABC再添加一个什么条件时，可使四边形ADCE是正方形．并证明你的结论．【分析】（1）由等腰三角形的性质可得AD⊥BC，∠BAD＝∠CAD，又由AN为△ABC 的外角∠CAM的平分线，可得∠DAE＝90°，又由CE⊥AN，由矩形的判定可证四边形ADCE为矩形；（2）利用（1）中矩形的对角线相等推知：AC＝DE；结合已知条件可以推知AB∥DE，又AE＝BD，则易判定四边形ABDE是平行四边形；（3）由等腰直角三角形的性质可得AD＝CD＝BD，即可证四边形ADCE是正方形．【解答】证明：（1）∵在△ABC中，AB＝AC，AD为∠BAC的平分线，∴AD⊥BC，∠BAD＝∠CAD，∴∠ADC＝90°，∵AN为△ABC的外角∠CAM的平分线，∴∠MAN＝∠CAN，∴∠DAE＝90°，∵CE⊥AN，∴∠AEC＝90°，∴四边形ADCE为矩形；（2）四边形ABDE是平行四边形，理由如下：由（1）知，四边形ADCE为矩形，则AE＝CD，AC＝DE．又∵AB＝AC，BD＝CD，∴AB＝DE，AE＝BD，∴四边形ABDE是平行四边形；（3）当∠BAC＝90°时，四边形ADCE是正方形，理由：∵∠BAC＝90°，AB＝AC，AD为∠BAC的平分线，∴AD＝CD＝BD，又∵四边形ADCE是矩形，∴四边形ADCE是正方形．25．（9分）如图，在Rt△ACB中，∠C＝90°，AC＝30cm，BC＝25cm．动点P从点C出发，沿CA方向运动，速度是2cm/s；同时，动点Q从点B出发，沿BC方向运动，速度是1cm/s．（1）几秒后△PCQ是等腰三角形？（2）几秒后P、Q两点相距25cm？（3）设△CPQ的面积为S1，△ABC的面积为S2，在运动过程中是否存在某一时刻t，使得S1：S2＝2：5？若存在，求出t的值；若不存在，则说明理由．【分析】（1）设t秒后△PCQ为等腰三角形，根据CQ＝PC为等量关系列出方程；（2）设a秒后P，Q两点相距25cm．根据勾股定理列出方程并求解．（3）用t分别表示出CP、CQ，根据题意列出方程，解方程即可．【解答】解：（1）依题意得PC＝2xcm，CQ＝（25﹣x）（cm）．设t秒后△PCQ为等腰三角形，则CQ＝CP，∴25﹣x＝2x，解得x＝．答：秒后△PCQ为等腰三角形；（2）设a秒后P，Q两点相距25cm．根据勾股定理，得（25﹣x）2+4x2＝252，解得x＝10．答：10秒后P，Q两点相距25cm；（3）△CPQ的面积为S1＝×CQ×CP＝×2t×（25﹣t）＝﹣t2+25t，△ABC的面积为S2＝×AC×BC＝375，由题意得，5（﹣t2+25t）＝375×2，解得，t1＝10，t2＝15，故运动10秒或15秒时，S1：S2＝2：5．。

广东省佛山市超盈实验中学高一 物理第一学期12月月质量检测考试卷（ Word 版含答案）一、选择题1．飞机着陆后在跑道上滑行时做匀减速直线运动，已知其初速度是60m/s ，加速度大小是6m/s 2，则飞机着陆后12s 内的位移大小是（ ）A ．288 mB ．300 mC ．600 mD ．360 m2．单位制是由基本单位和导出单位所组成的一系列完整的单位体制。

在以下所给出的力学单位中，属于国际单位制中的基本单位是( )A ．mB ．/m sC ．2/m sD ．N3．第26届国际计量大会通过“修订国际单位制(SI)”的决议，将千克、安培、开尔文和摩尔4个国际单位制的基本单位改由物理常数重新定义，从而提高计量单位的稳定性和精确度。

基本单位“千克”所对应的物理量是（ ）A ．力B ．时间C ．长度D ．质量4．如图所示，风力发电机的叶片在风力推动下转动，带动发电机发电。

图中M 、N 为同一个叶片上的两点，下列判断正确的是A ．M 点的线速度小于N 点的线速度B ．M 点的角速度小于N 点的角速度C ．M 点的向心加速度大于N 点的向心加速度D ．M 点的周期大于N 点的周期5．小明同学在水平面上用水平恒力推动木箱做与加速直线运动．小明在思考，怎么样才能使木前的加速度变为原来的2倍（ ）A ．将水平推力增大到原来的2倍B ．将阻力减少到原来的12C ．将物体的质量增大到原来的2倍D ．将物体的推力和阻力都增大到原来2倍6．关于加速度a 的方向，下列说法中正确的是A ．由a ＝v t∆∆ 可知，加速度a 的方向与速度增量Δv 的方向可能相反 B ．加速度a 的方向与初速度v 0的方向相同 C ．如果物体的加速度a 的方向与初速度v 0的方向相同，则物体做加速运动D ．只要加速度a ＞0，物体就做加速运动7．当汽车做匀变速直线运动时（ ）A ．在相等的时间内位置变化相同B ．在相等的时间内速度变化相等C ．速度大小不断改变，方向一定不变D ．加速度大小不断改变，方向一定不变 8．国际单位制中与力学有关的三个基本单位是A ．kg 、m 、sB ．g 、m 、NC ．kg 、km 、ND ．kg 、m 、N 9．如图所示，一劲度系数为k 的轻弹簧，上端固定在天花板上，下端悬挂木块A ． 木块A 处于静止状态时弹簧的伸长为l ∆(弹簧的形变在弹性限度内)，则木块A 所受重力的大小等于A ．l ∆B ．k l ⋅∆C ．l k ∆D ．k l∆ 10．下列说法正确的是（ ）A ．高速行驶的公共汽车紧急刹车时，乘客都要向前倾倒，说明乘客受到惯性力的作用B ．短跑运动员最后冲刺时，速度很大，很难停下来，说明速度越大，惯性越大C ．惯性的大小仅与质量有关，质量越大，惯性越大．D ．把手中的球由静止释放后，球能竖直下落，是由于球具有惯性的缘故11．如图所示，小球系在竖直拉紧的细绳下端，球恰又与光滑斜面接触并处于静止状态，则小球受到的力有（ ）A ．重力和绳对它的拉力B ．重力、绳对它的拉力和斜面对它的弹力C ．重力和斜面对球的支持力D ．绳对它的拉力和球对斜面的压力12．如图，汽车向右沿直线做匀减速运动，原来的速度是v 1，经过一小段时间之后，速度变为v 2，用Δv 表示速度的变化量，则（ ）A ．汽车的加速度方向与v 1的方向相同B ．汽车的加速度方向与v 2的方向相同C ．汽车的加速度方向与v 1的方向相反D ．汽车的加速度方向与Δv 的方向相反13．为了使交通安全有序，公路旁设置了许多交通标志。