江南十校联考2023年试卷高一数学

2022学年第一学期浙江强基联盟12月统测

高三年级英语试题

选择题部分（共95分）

第一部分听力（共两节，满分30分）

做题时，先将答案标在试卷上。录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题纸上。

第一节（共5小题；每小题1.5分，满分7.5分）

听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。

1.How will the speakers go to the beach?

A.By bike.

B.On foot.

C.By car.

2.On which day does the woman wane to leave for New York?

A.25th.

B.26th.

C.28th.

3.Why didn't Tom go to the department stores yesterday?

A.He went to the park.

B.His brother got sick.

C.He had an appointment with a friend.

4.Where is probably the man's dog now?

A.In his house.

B. In the park.

C.In the garden.

5.What does the woman want to do?

A.Sell her furniture.

B.Find a roommate.

C.Rent a furnished apartment.

第二节（共15小题；每小题1.5分，满分22.5分）

听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍。

听第6段材料，回答第6、7题。

6.Why does the man want lo change his job?

A.He is not satisfied with his salary.

B.His coworkers aren't kind to him.

C.The environment isn't agreeable.

7.What will the woman do for the man?

A.Find him a new job.

B.Help him apply for a loan.

C.Lend him some money.

听第7段材料，回答第8至10题。

8.What is the conversation mainly about?

A.The woman's poor health.

B.The cleaning of the floor.

C.The prize for a good job.

9.What is the probable relationship between the two speakers?

A.Husband and wife.

B.Doctor and patient.

C.Boss and employee.

10.What do we know about the Roomba?

A.It helps the man with his work.

B.It costs the woman nearly $400.

C.It frees users of heavy housework.

听第8段材料，回答第11至13题。

11.Why does the woman prefer to buy an electric car?

A.Its low price.

B.Its powerful engine.

C.Environmental protection.

12.What is the man's attitude towards the wide use of electric cars?

A.Supportive.

B.Worried.

C.Unconcerned.

13.What does the man think this town needs to do?

A.Broaden the roads.

B.Improve public transport.

C.Limit the number of cars.

听第9段材料，回答第14至17题。

14.What are the speakers doing?

A.Attending a wedding.

B.Holding a meeting.

C.Having a party.

15.How many times did Mr. Green come to China in the past?

A.None.

B.Once.

C. Twice.

16.Which of the factories aren't mentioned in the conversation?

A.The steel and iron works.

B.The medicine factory.

C.The cloth factory.

17.When is the man going back to New York?

A.This day.

B.Tomorrow.

C.The day after tomorrow.

听第10段材料，回答第18至20题。

18.What can the bring with them during the course?

A.Business videos.

B.Notebook computers.

C.Mobile phones.

19.Where is the Business Studies Department?

A.Next to the staff car park.

B.On the left side of the Science Center.

C.Beside the main entrance of the college.

20.What language classes are provided this summer?

A.Japanese and German

B.French and Chinese.

C.Italian and Spanish.

第二部分阅读（共两节，满分50分）

第一节（共15小题；每小题2.5分，满分37.5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。

A

With international travel again on the table, picking a destination for your school trip abroad is exciting and probably a little daunting. Here we have selected a few of our top destinations to inspire you and help you narrow down your options. Through exposure to different cultures, students will gain a more comprehensive understanding of the world and an appreciation for other peoples' ways of life, not to mention that traveling with your students can be one of the most rewarding and memorable experiences you can have.

Discover the many wonders of Prague

Known for its diverse architecture and world-class museums, Prague is consistently ranked as one of the most beautiful cities in the world. Unfolding among well-preserved castles, Baroque and Gothic cathedrals, medieval squares, and captivating bridges, a visit to Prague is guaranteed to be an eye opening and enriching school trip.

Be charmed by the many sides of Edinburgh

Edinburgh's unique architectural charm is the perfect setting to engage students in history and culture. With a spectacular Gothic UNESCO-listed old town playing host to some of the most dynamic and varied art schools and community projects in the world, you can discover the ancient art of Scottish storytelling, visit unique local arts projects, dance the night way in a traditional Ceilidh (同乐会)，and get involved with some fantastic charities.

Soak up the spirit of Liston

For students, Lisbon is the perfect setting for an exciting adventure that includes authentic Portuguese culture, fascinating architecture, and astonishing UNESCO World Heritage Sites. The Portugoese people love sharing their unique homeland, so be prepared to be greeted by a friendly smile from a local.

Get sustainability inspiration in Copenhagen

Well-known for being a multicultural center, Copemhagen ls across the globe for the innovative approach to sustainable living——from growing organic produce in many urban greenhouses to promoting cycling culture. This fascinating school trip destination is filled with the newest technologies, sustainable solutions, and symbolic architecture.

21.Which trip best suits art students?

A.Discover the many wonders of Prague.

B.Be charmed by the many sides of Edinburgh.

C.Soak up the spirit of Lisbon.

D.Get sustainability inspiration in Copenhagen.

22.What do the four destinations have in common?

A.The locals are all very friendly.

B.Students have an opportunity to visit natural sites.

C.Students can have a multicultural experience.

D.These trips allow students to get close to different architecture.

23.Who is the text intended for?

https://www.wendangku.net/doc/1a19309933.html,cators.

B.Students.

C.Parents. D Visitors.

B

It takes a lot of hard work and determination to achieve big goals. Many times, people must persevere in spite of obstacles to realize their dreams. Collette Divitto is a talented baker who managed to do just that. She used her bright personality, determination, and talent to become an entrepreneur.

Collete Dvito was born in Boston. Like many others, after graduating from college, she wanted to get a job. She went to many job interviews, but she kept getting rejected. Many employers said she was "not the right fit". Divitto believed she was being rejected so often in that she was born with Down syndrome, which is a genetic disorder related to a person's chromosomes. People with Down syndrome often have intellectual or physical disabilities.

Facing many job rejections, Divitto felt discouraged and hurt. She felt she wanted to open

her own business and be her own boss. She thought about her hobbies and passions. Divitto knew she loved baking. She would always create delicious recipes to share with her family and friends. One of these recipes was for a chocolate chip cookie rolled in cinnamon sugar. Her mom tasted the cookies and urged her to write down the recipe to make them again. Divitto began baking and selling her chocolate cookies locally, calling her business "Collettey's Cookies". She took her cookies to a local grocery store named Golden Goose Market. Immediately after tasting the cookies, the market decided to sell Devitto's cookies. Golden Goose Market became Divitto’s first client. Eventually, a television station shared the story of Divitto's ccokie business. Her story went viral!

Divitto didn't just create Collectey's Cookies to sell delicious baked goods. She has a great ambition to expand her business so that she can hire as many people as possible. Currently, many of her employees have disabilities. Divitto also wants non-disabled business owners to see the strengths and talents of people with disabilities. The majority of disabled people who can work cannot find paying jobs. Even when they do get jobs, they are often paid less than the minimum wage. Divitto wants to change these statistics. She wants to make sure people with disabilities get jobs that pay fairly.

24.What did Collette think was the probable reason for her job rejections?

A.She wanted to run her own business.

B.She was not equal to these jobs.

C.She was not perseverant enough to face obstacles.

D.She was prejudiced for her disability.

25.Which of the following best describe how she made “Collettey’s Cookies” a success?

A.She fully took advantage of social connections.

B.She turned her passion for baking into a thriving business.

C.She had her cookies promoted on television.

D.She employed a team of disabled people.

26.What is Paragraph 4 mainly about?

A.Divitto's attitude to the disabled.

B.Divitto's strategy of expanding the business.

C.Divitto's quality of being an entrepreneur.

D.Divitto's mission to empower the disabled with job opportunities.

27.What does the author want to show by telling the story?

A.Nothing seeks, nothing finds.

B.Success and rest don't sleep together.

C.Sharp tools make good work.

D.Birth is much, but breeding (养育) is more.

C

On September 29, 2021, the US Fish and Wildlife Service declared it would be removing 23 species from its Endangered Species Act, including the ivory-billed woodpecker, various Hawaiian birds and freshwater fish, not because they had been pulled back from the edge of extinction, but because the USFWS believed these species would never recover, and were most likely extinct, therefore not requiring protection.

In April, 195 countries are getting together in China for a UN conference to discuss global agreements to protect nature and biodiversity, with the hope of finalizing an agreement to safeguard plants, animals, and ecosystems. However, the new strain (毒株) of Covid-19, Omicro, has potentially thrown the plans into a mess, and negotiators may switch to online talks if travel restrictions to China are put in place again.

"We can't go another four months without any progress,” said Georgina Chandler, senior international policy officer at the Royal Society for the Protection of Birds. Conservationists are urging the talks to go ahead——online if necessary——as the biodiversity crisis shows no sign of slowing up.

"Nature loss has not gone away and threatens both human lives and the global economy,” said Lin Li, director of global policy at the organization. "With one million species currently in danger of extinction, delaying action is not an option."

Improving conservation and management of natural areas, such as oceans, forests, and wildernesses is crucial to safeguarding the ecosystems on which humans depend. However, forests are still being decimated, often for farming or commercial use. As tress absorb about a third of planet-warming emissions produced worldwide, stopping deforestation is key. At COP26 in Glasgow last November, world leaders plan to invest $19 billion in public and private funds to protect and restore global forests.

It's easy to feel disheartened by the disappointing news, but the only way to stop more species suffering the same fate is to pay attention and take actions.

28.Why would the 23 species be removed from the Act?

A.Because they are less endangered.

B.Because they have already died out.

C.Because nothing can save them from extinction.

D.Because more funds are in need to protect them.

29.What do Georgina Chandler and Lin Li urge to do?

A.Take immediate actions.

B.Put off the conference.

C.Have online talks.

D.Improve global economy.

30.What does the underlined word“decimated" mean in the fifth paragraph?

A.Abandoned.

B.Destroyed.

C.Rearranged.

D.Disturbed

31.What does the author intend to do by writing the text?

A.To explain why some species have disappeared.

B.To recommend ways to protect and restore forests.

C.To call for attention and action against biodiversity crisis.

D.To describe the present situation of global ecosystem.

D

The microbiome is the collection of all microbes (微生物)，such as bacteria, fungi, viruses, and other life, which naturally live in an individual, be it a person or a plant. For humans and many other species, the best characterized microbiome centers on the bacteria in the gut (肠). The more microbiologists study these gut microbes, the more they link the bacteria to functions of their hosts. In humans, gut bacteria influence how the body responds to disease-causing bacteria, or interact with the brain, affecting the mood.

Andrew Moeller is an evolutionary biologist at Cornell University. Six years ago, he and his colleagues reported the work showing human gut microbes are very similar to those in other primates (灵长类)，suggesting their presence predates the evolution of humans. But his follow-up studies indicate the human gut microbiome has changed greatly, compared with our current

primate cousins. He found 85 microbial varieties in the guts of wild monkeys, but just 55 in people in US cities. Besides, people in less developed parts of the world have between 60 and 65 of those bacterial groups.

“Changes in diet as humans moved on from their hunter-gatherer past and into cities, antibiotic (抗生素) use, more life stresses, and better hygiene are all possible contributors to that great change in gut microbes," says Reshmi Upreti, a microbiologist at the University of Washington, Bothell. Several researchers have argued that this lower

diversity could contribute to increases in various diseases.

However, Kyle Meyer, a microbiologist at UC Berkeley, argues such loses are not necessarily a problem.“Maybe we don't reed them,” he points out. But Moeller is worried. “We are really doing some scary stuff to our microbiomes,” he warns. Moeller and others also suggest identifying the missing microbes may be the first step in bringing them back. “If we determine that these groups were providing important functions to keep humans healthy," Upreti says, “perhaps we can restore them by introducing probiotics (益生菌) to the digestive system through foods and supplements.”

32.What conclusion do microbiologists probably draw about gut microbes?

A.They are crucial to humans’ health.

B.They can easily adapt to new hosts.

C.They encourage the growth of disease-causing bacteria.

D.They vary greatly from individual to individual.

33.What do Andrew Moeller's follow-up studies imply?

A.Humans need fewer gut microbes to digest than other primates.

B.The variety of human gut microbes has reduced greatly.

C.Human gut microbes are very similar to those in monkeys.

D.The presence of gut microbes accelerates the evolution of humans.

34.What does Reshmi Upreti suggest?

A.Ignoring the loss of microbes.

B.Recognizing the lost microbes.

C.Regaining the lost microbes through balanced diets.

D.Recovering the lost microbes with the help of probiotics.

35.What would be the best title for the text?

A.The importance of Microbiome to Primates

B.The Wide Diversity of Human Microbiome

C.The Loss of Gut Bacteria in Modern Humans

D.The Number of Gut Bacteria in Different Species

第二节（共5小题；每小题2.5分，满分12.5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。选项中有两项为多余选项。

Sportsmanship isn't just about shaking hands after the game. It's about helping young athletes enjoy the spirit of competition, deal with adversity, __36__

Character is a word that gets used often, but its true meaning may be hard to explain to a young mind. __37__ By raising standards early, an athlete can both give and expect mutual respect during their course of competition.

One way to teach the idea of sportsmanship is to let the athlete know that they should do their personal best and to treat teammates and opponents in the same fashion they wish to be treated. __38__ It also helps them off the field as well.

It's important to the young athlete to understand that for as many victories as they hope to have, they must face losing if they're going to play their sport. An effective method is to have a young athlete pick out well-known popular athletes, particularly in their sport or sports of interest, and look up their statistics. __39__

__40__ Practice and skill building should be offset by times of goofing off (偷懒), perhaps practicing with crazy costumes or with fun music, and not coaching in the traditional sense. This one little thing can do wonders in reminding the athlete not to take anything too seriously and to have fun doing what they have chosen to participate in.

A.Sports are designed to be enjoyable.

B.Having sports is a course of sweat and tears.

C.Sport is a matter of failure and success to some degree.

D.It's ultimately a choice to hold oneself to a higher standard.

E.This age-old idea will help them become a respected competitor.

F.Here are tips to young players' sportsmanship and prepare them for their future life.

G.Knowing professional athletes have faced defeat can teach the young competitor to face loss graciously.

第三部分语言运用（共两节，满分30分）

第一节（共15小题；每小题1分，满分15分）

阅读下面短文，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。

In April, the lockdown in Morris Township was coming to an end. Matthew Sullivan watched his __41__ neighbors gazing out their windows. Returning to the workplace, they would have little time to __42__ their lawn (草坪).

Sullivan, an enterprising 14-year-old, saw the __43__ of lawn care. Thus, he had a brilliant idea in his mind. To meet the __44__, Sullivan started his own business, and named it Leaf-lt To-Us, in which he __45__ a group of able-bodied 13-and 14-year-olds to do lawns work involving weeding, leaf-blowing, planting and fence-painting.

Last Saturday, Sullivan and his partners __46__ the local charity Help Morris NOW a

$1,000 check that they had earned. “What the Leaf-lt To-Us kids had done __47__ me." Nestor Bedaya, the founder af Help Morris NOW, said. "When they came up to me and said ‘we’re presenting you with this __48__’, I couldn't have __49__ those kids at their age, doing what they're doing, with the purpose of helping others."

Though the company had __50__ given its earnings to St. Jude Children's Research Hospital, this season it __51__ its causes. "Now we've gone __52__, so we're helping out people in our community,” Sullivan said.

Sullivan __53__ that they have more than $5,000 in total since this April. Last year, they completed around two to thee jobs a week. This year, they've __54__ to two jobs a day. They plan to keep the landscaping business running so that they can maintain their __55__ giving.

41A. relieved 42A. attend to 43A. significance 44A. deadline 45A. organized 46A. donated B. confident

B. sit on

B. rise

B. demand

B. joined

B. sent

C. concerned

C. set off

C. challenge

C. target

C. followed

C. cashed

D. satisfied

D. leave off

D. potential

D. standard

D. ordered

D. signed

47A. satisfied 48A. reminder 49A. enjoyed 50A. eventually 51A. confirmed 52A. wild

53A. argues

54A. withdrew 55A. charitable B. comforted

B. gift

B. appreciated

B. originally

B. switched

B. mature

B. estimates

B. narrowed

B. sensible

C. touched

C. bill

C. admitted

C. fortunately

C. discovered

C. global

C. insists

C. expanded

C. appreciative

D. shocked

D. check

D. imagined

D. repeatedly

D. ignored

D. local

D. acknowledges

D. returned

D. supportive

非选择题部分（共55分）

第二节（共10小题；每小题1.5分，满分15分）

阅读下面短文，在空白处填入1个适当的单词或括号内单词的正确形式。

The digital protection project of the Mati Temple Grottoes in Zhangye city, Northwest China's Gansu Province, __56__(complete) so far, according to local authorities in Zhangye. First built around 1,600 years ago along the route of the ancient Silk Road, the Mati Temple Grottoes are famous for Buddhist relics in more than 70 caves, __57__ (make) one of the top three Hexi Buddhism culture grottoes in China, with the __58__ (value) position of Mogao Grottoes in Dunhuang and Yulin Grottoes in Anxi.

The project launched last Junes, with __59__ total investment of 3.89 million yuan (about $530,000), __60__ (include) data collection for the surrounding environment of the grottoes, digital scanning of the murals and sculptures __61__ (preserve) in primary caves, 3D reconstruction of cave structures and panoramic warping, among others. Digital technology is a new approach __62__ permanently preserving cultural relics and will take the lend in a new era for future exhibitions, the institute said.

The work is focused on one of the site's major attractions called the Thousand Boddha Grottoes, __63__ have eight caves that are among the best-preserved in the whole site, said Yao Gailan, __64__ (direct) of the institute for cultural heritage preservation in Zhangye.

To preserve the site better, funds have been raised __65__ an archaeological investigation involving researchers at home and abroad is also underway.

第四部分写作（共两节，满分40分）

第一节（满分15分）

假定你是李华，你的英国朋友Mike通过社交媒体获知你校举行了“南山登顶”毅行活动，写信向你了解相关情况。请给他写一封回信，内容包括：

1.时间地点；

2.活动过程；

3.你的感受。

注意：

1.写作词数应为80左右；

2.请按如下格式作答。

第二节（满分25分）

阅读下面材料，根据其内容和所给段落开头语续写两段，使之构成一篇完整的短文。

A Son's Love

Our church congregation in Toronto has a way of assisting those who have financial difficulties without making the recipient feel shame or guilt. Money is dropped into an offering box with only the name of the recipient on the envelope. The envelopes are then distributed to those members without them knowing the name of the giver.

There came a time when my husband and I were among those in need. We did not talk about our financial difficulty with anyone. The only reason our children knew was because we had to cut back on many things. Still, we hoped they were not aware of the extent of our need,

nor of how much their father and I were suffering because of it. We did not want to burden them with a problem they could do nothing to solve.

Our situation wasn't improving, and my husband and I knew that we would have to look for outside help. Just as we reached the point of despair, our church gave us a gift envelope that had been left in the offering box. We were overjoyed to receive a very substantial amount of money, enough to bring us through that desperate time. We couldn't help but wonder who had given such a generous gift. We were extremely relieved and enormously grateful.

A year later, our seventeen-year-old son was applying for a student loan so he could attend university. It was then we discovered that his savings account was almost empty. His father and I were very disturbed by this. We had trusted him to put part of his wages from his part-time job into the bank towards his education. From the time he was nine years old he had been a paper carrier for The Toronto Star, and he had worked very hard for his small earnings.

注意：

1.续写词数应为150左右；

2.请按如下格式作答。

浙江省强基联盟2022-2023学年高三上学期12月统测

英语试题答案

听力

1~5AABAC 6～10ABBAC 11~15 CBBCA 16～20 CBBAC

阅读理解

21~23 BDA 24~27 DBDA 28~31 CABC 32~35 ABDC

七选五

36～40 FDEGA

完形填空

41～45 CADBA 46～50ACDDB 51～55 BDBCA

语法填空

56.has been completed 57.making 58.valuable 59.a 60. Includes

61. preserved 62.to 63.which 64.director 65.and

应用文(满分15分)

Dear Mike，

ln response to your inquiry about the Trail-walker Activity held by my school, I'm writing to share with you some details.

As scheduled, the annual event was launched last Saturday. Each participant set out from the school gate at 6 am and then climbed up Mountain Nan, covering about 10 kilometers. Challenging as it was due to the unexpected rain, we all gave full play to our willpower. Not only did the event relieve our pressure from study, but it strengthened our willpower.

How about your school life? Looking forward to your reply.

Yours,

Li Hua 续写(满分25分)

Anxious, I asked him to tell us where the money had gone. Hesitant and wordless, he didn't dare to look directly into my eyes, but lowered his head, almost to his chest, with hands tightly clasped and face blushing. The scene that he kept so silent like a statue brought more anxiety to my already burning heart. Countless doubts and speculations roared in my messy mind, every nerve in my body yelling at me to hound him for the answer. “Tell the truth!” I urged, determined to find out where the money had gone. Then, over his face came a torn look.

Finally, in tears, and with great reluctance, my son told us the truth. “I sent it to the offering box with your names,” he murmured, the salty water pooling in his eyes. His words suddenly hit me like lightning. I was glued to the spot, speechless, with a lump in my throat—it had taken my son years to save that money. He had given it to us willingly—without telling us what he had done.

The following moment witnessed me drawing my son into my arms, sobbing and apologizing. Never in my life had I been aware of my son's love, silent but pure and deep, which had saved our family and now warmed my life like sunshine.

江南十校联考2023年试卷高一数学

2022学年第一学期浙江强基联盟12月统测 高三年级英语试题 选择题部分（共95分） 第一部分听力（共两节，满分30分） 做题时，先将答案标在试卷上。录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题纸上。 第一节（共5小题；每小题1.5分，满分7.5分） 听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。 1.How will the speakers go to the beach? A.By bike. B.On foot. C.By car. 2.On which day does the woman wane to leave for New York? A.25th. B.26th. C.28th. 3.Why didn't Tom go to the department stores yesterday? A.He went to the park. B.His brother got sick. C.He had an appointment with a friend. 4.Where is probably the man's dog now? A.In his house. B. In the park. C.In the garden. 5.What does the woman want to do? A.Sell her furniture. B.Find a roommate. C.Rent a furnished apartment. 第二节（共15小题；每小题1.5分，满分22.5分）

2020年安徽省江南十校联考理科数学试题及答案

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江苏省苏州市吴中、吴江、相城区2023-2024学年十校联考最后数学试题含解析

2024年中考数学模拟试卷 考生须知： 1．全卷分选择题和非选择题两部分，全部在答题纸上作答。选择题必须用2B铅笔填涂；非选择题的答案必须用黑色字迹的钢笔或答字笔写在“答题纸”相应位置上。 2．请用黑色字迹的钢笔或答字笔在“答题纸”上先填写姓名和准考证号。 3．保持卡面清洁，不要折叠，不要弄破、弄皱，在草稿纸、试题卷上答题无效。 一、选择题（每小题只有一个正确答案，每小题3分，满分30分） 1．把多项式x2+ax+b分解因式，得(x+1)(x-3)，则a、b的值分别是（） A．a=2，b=3 B．a=-2，b=-3 C．a=-2，b=3 D．a=2，b=-3 2．下列四个几何体，正视图与其它三个不同的几何体是（） A．B． C．D． 3．如图在△ABC中，AC＝BC，过点C作CD⊥AB，垂足为点D，过D作DE∥BC交AC于点E，若BD＝6，AE＝5，则sin∠EDC的值为（） A．3 5 B． 7 25 C． 4 5 D． 24 25 4．如图，将一块三角板的直角顶点放在直尺的一边上，当∠2=38°时，∠1=（） A．52°B．38°C．42°D．60° 56的相反数是（） A．6B6C 6 D6

6．去年12月24日全国大约有1230000人参加研究生招生考试，1230000这个数用科学记数法表示为（ ） A ．1.23×106 B ．1.23×107 C ．0.123×107 D ．12.3×105 7．如图，在扇形CAB 中，CA=4，∠CAB=120°，D 为CA 的中点，P 为弧BC 上一动点（不与C ，B 重合），则2PD+PB 的最小值为（ ） A ． B ． C ．10 D ． 8．若一个圆锥的底面半径为3cm ，母线长为5cm ，则这个圆锥的全面积为（ ） A ．15πcm 2 B ．24πcm 2 C ．39πcm 2 D ．48πcm 2 9．如图，矩形OABC 有两边在坐标轴上，点D 、E 分别为AB 、BC 的中点，反比例函数y ＝k x （x ＜0）的图象经过点D 、E ．若△BDE 的面积为1，则k 的值是（ ） A ．﹣8 B ．﹣4 C ．4 D ．8 10．如图，在ABC 中，D 、E 分别在边AB 、AC 上，//DE BC ，//EF CD 交AB 于F ，那么下列比例式中正确的是( ) A ．AF DE DF BC = B ．DF AF DB DF = C ．EF DE CD BC = D ．AF AD BD AB = 二、填空题（共7小题，每小题3分，满分21分） 11．将一次函数y =2x +4的图象向下平移3个单位长度，相应的函数表达式为_____． 12．化简；22442x x x x -++÷（4x+2﹣1）=______．