浙江省杭州市中考试题

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浙江省杭州市2024年中考语文真题试卷(含答案)

浙江省杭州市2024年中考语文真题试卷(含答案)

浙江省杭州市2024年中考语文真题试卷试卷满分120分(卷面书写3分),考试时间120分钟根据相关内容评定,要求卷面整洁,书写规范工整。

一、“树立远大志向”主题演讲活动(19分)1、阅读演讲稿开头,根据要求完成任务。

(6分)志向是漫漫人生路上的基石,志向是实现梦想的阶梯,___________。

我们应树立远大志向,把人生梦想①________时代洪流,让péng_____勃青春与家国情怀共振,就能找到施展才华的舞台,为国家发展②_______源源不断的动力。

当然,美好梦想不会自动成真,实现梦想往往是一个漫长而jiān________辛的过程,离不开锲而不舍、驰而不息的奋斗。

(1)结合上文语境,根据拼音写出相应的汉字。

(2分)péng_____勃jiān_____辛(2)文章①②处应分别填入哪个词?选择正确的答案()(2分)A.汇入汇聚B.汇聚汇入(3)在横线处续写句子,和画线部分构成排比。

(2分)2、请为下面这副对联选择你认为最合适的下联()(2分)上联:各勉日新志下联:A.雅量涵高远B.星斗焕文章C.共证岁寒心D.云山起翰墨3、根据段落的语境填写古诗文名句。

(4分)志向有多高远,天地就有多辽阔。

在《望岳》中,杜甫以“会当凌绝顶,①_____________”表达勇于攀登高峰的理想;在《过零丁洋》中,文天祥用“人生自古谁无死?②_____________”彰显舍生取义的气节;在《岳阳楼记》中,范仲淹以“③_____________,④_____________”抒写先忧后乐的抱负。

4、2024年6月2日,嫦娥六号登月,尽显中国航天科技的智慧与力量。

请任选一项,结合所选诗文内容,写一段话致敬中国航天人。

(3分)A.长风破浪会有时,直挂云帆济沧海B.但愿人长久,千里共婵娟C.抟扶摇而上者九万里_______________________________________________________________________________________ _______________________________________________________________________________________ 5、同学为演讲活动制作了一张宣传海报(见下图),你认为选用小诗《路》是否合适?请表明观点并简述理由。

精品解析:2022年浙江省杭州市中考数学真题(解析版)

精品解析:2022年浙江省杭州市中考数学真题(解析版)
A. B.
C. D.
【答案】C
【解析】
【分析】根据题中数量关系列出方程即可解题;
【详解】解:由10张A票的总价与19张B票的总价相差320元可知,
或 ,
∴ ,
故选:C.
【点睛】本题主要考查二元一次方程的应用,解题的关键在于能根据实际情况对题目全面分析.
8.如图,在平面直角坐标系中,已知点P(0,2),点A(4,2).以点P为旋转中心,把点A按逆时针方向旋转60°,得点B.在 , , , 四个点中,直线PB经过的点是()
10.如图,已知△ABC内接于半径为1的⊙O,∠BAC=θ(θ是锐角),则△ABC的面积的最大值为()
A. B.
C. D.
【答案】D
【解析】
【分析】要使△ABC的面积S= BC•h的最大,则h要最大,当高经过圆心时最大.
【详解】解:当△ABC的高AD经过圆的圆心时,此时△ABC的面积最大,
如图所示,
∴从中随机抽取一张,编号是偶数的概率等于 ,
故答案为: .
【点睛】本题考查概率公式,解答本题的关键是明确题意,求出相应的概率.
13.已知一次函数y=3x-1与y=kx(k是常数,k≠0)的图象的交点坐标是(1,2),则方程组 的解是_________.
【答案】
【解析】
【分析】根据一次函数的交点坐标即可确定以两个一次函数解析式组成的二元一次方程组的解.
∴∠ABC=∠DEF=90°,
∴Rt△ABC∽△Rt△DEF,
∴ ,即 ,
解得AB=9.88,
∴旗杆的高度为9.88m.
故答案为:9.88.
【点睛】本题考查了相似三角形的判定与性质,平行投影:由平行光线形成的投影是平行投影,如物体在太阳光的照射下形成的影子就是平行投影.证明Rt△ABC∽△Rt△DEF是解题的关键.

【语文】浙江省杭州市中考真题(解析版)

【语文】浙江省杭州市中考真题(解析版)

浙江省杭州市中考语文真题一(30分,其中选择题每小题3分)1.下面文字中加点的字注音正确的一项是()漫步西子湖,如在诗中游。

看到燕子,白居易的诗“谁家新燕啄春泥”脱口而出,不禁惊叹于燕子与春天的那份默契;湖面波光潋滟,你自然吟诵起苏轼“淡妆浓抹总相宜”的名句;白堤桃柳相间,花团锦簇,令人想到杭州诗人戴望舒在远方深情的思念,“春天,堤上繁花如锦幛,嫩柳枝折断有奇异的芬芳”。

丰厚的人文积淀,增添了西湖的风雅与内蕴。

A.jìn qì jiànDìng B.jīn qiè jiànDìngC.jīn qì jiānDiàn D.jìn qiè jiānDiàn【答案】C【解析】本题考查对字音的辨析能力。

这里的“禁”应为“jīn ”,“契”应为“qì”,“间”应为“jiān”,“淀”应为“diàn”。

2.下列各项中,没有错别字的一项是()A.他克尽职守,默默奉献三十年。

/请你把刚才说的话在说一遍。

/警察掉取监控录像仔细查看。

(摘自电视字幕)B.海鲜夜宵大排档,恭候光临!/阳光安装公司,竭诚为您服务。

/欧美时尚家具,送货到家。

(摘自招牌广告)C.红烧鸡腿、蜡肉烧笋、糖醋鱼块/凉绊黄瓜、香菇青菜、蒜泥菠菜/番茄旦汤、虾皮紫菜汤(摘自食堂菜单)D.梧桐树遮天蔽日,尤如一幅浓墨重彩的油画。

/最后拼搏阶段就是要像篮球冲满气、汽车加满油一样。

(摘自学生作文)【答案】B3.下列句子中加点的词语使用恰当的一项是()A.学生会组织校青年志愿者二十余人,利用双休日走上街头,发放宣传单,劝慰行人遵守交通法规,文明出行。

B.听了著名建筑师的报告,王茜萌发了远大的夙愿:将来要专攻建筑学,为老百姓设计建造美观而实用的房子。

的消息,围棋迷舒波连续两天废寝忘食,上课总五岁的苗苗听说爸妈要回家了,高兴得手舞足蹈,冲向大门口。

2023年浙江省杭州市中考英语真题及答案

2023年浙江省杭州市中考英语真题及答案

2023年浙江省杭州市中考英语真题及答案一、听力部分(共20分)第一节(共5小题;每小题1分,满分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,并标在试卷的相应位置。

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. What does the man want to do?Answer: C. Borrow a book.2. How much does the man have to pay?Answer: B. $25.3. What will the woman do for her party?Answer: A. Make a cake.4. What does the woman want to buy?Answer: B. A blue dress.5. How did the woman go to the museum?Answer: C. By bus.第二节(共10小题;每小题1分,满分10分)听下面几段对话或独白。

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,并标在试卷的相应位置。

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。

请听一段对话,完成第6至第7小题。

6. What grade is the boy in?Answer: C. Grade 8.7. What subject does the boy like best? Answer: B. History.请听一段对话,完成第8至第9小题。

8. How does the woman feel now? Answer: C. Nervous.9. When is the woman's appointment? Answer: A. At 3:00 p.m.请听一段对话,完成第10至第12小题。

2022年浙江省杭州市中考语文真题(解析版)

2022年浙江省杭州市中考语文真题(解析版)
中国人有中国人的眼睛,中国人有中国人的心灵。
【颂中国脊梁】
4.参照画线句,从备选人物中任选一个,补写句子。
鲁迅说,我们从古以来,就有埋头苦干的人,有拼命硬干的人,有为民请命的人,有舍身求法的人……这就是中国的脊梁。现代中国,涌现出一大批这样的英雄人物;江竹筠(江姐原型)面对敌人的严刑拷打,坚贞不屈,英姿好比傲雪的红梅;_______________;航天员进入茫茫太空,舍生忘死,功绩犹如闪耀的星辰。
备选:邓稼先/袁隆平/《红星照耀中国》里的人物
【答案】示例:袁隆平毕生钻研杂交水稻,至死不懈,功德好似普照的阳光。
【解析】
【详解】本题考查句子的仿写。
结划线句合“江竹筠(江姐原型)面对敌人的严刑拷打,坚贞不屈,英姿好比傲雪的红梅”和“航天员进入茫茫太空,舍生忘死,功绩犹如闪耀的星辰”可知,仿写时按照“人物”+“事迹”+“比喻”的格式拟写即可。
【详解】本语段主要围绕“我们这一代人如何走好长征路”展开叙述。④句“忆往昔”先叙述先辈们的精神,确定④句为首句;②句“想今朝”,提出“我们这一代人如何继承和发扬先辈们的精神”的问题,因此②句承接④句;①③句说明了我们这一代人应怎样做,回答②句的问题;根据“先打好基础”“然后在实践中历练”的顺序,可知③句排在,共同成长。下列三组人物也有类似的关系,请选择一组,结合作品内容简要分析。
A.孙悟空和唐僧(《西游记》)
B.简·爱和罗切斯特(《简·爱》)
C.哈利·波特和他的伙伴(《哈利·波特与死亡圣器》
【答案】6.(1)道格拉斯想买网球鞋却钱不够。
(2)男孩打动了桑德森先生,他满足了男孩的心愿。
根据拼音填写汉字,选出加点字正确的读音。
(1)典jí()(2)寒来shǔ()往
(3)千载____(A.zǎi B.zài)(4)哺育____(A.fǔ B.bǔ)

浙江省杭州市历史中考2024年自测试题与参考答案

浙江省杭州市历史中考2024年自测试题与参考答案

2024年浙江省杭州市历史中考自测试题与参考答案一、单项选择题(本大题有12小题,每小题4分,共48分)1、以下哪位历史人物被称为“中国近代化第一人”?A. 康有为B. 梁启超C. 洋务运动的代表人物D. 谭嗣同答案:C 解析:中国近代化第一人通常指的是洋务运动的代表人物,如曾国藩、李鸿章等,他们通过引进西方技术和管理方式,推动了中国近代化的进程。

康有为和梁启超是戊戌变法的领导者,谭嗣同则是戊戌变法中的烈士。

因此,正确答案是C。

2、下列哪个事件标志着中国封建社会的结束和现代社会的开始?A. 秦始皇统一六国B. 辛亥革命C. 文化大革命D. 长征答案:B 解析:辛亥革命(1911年)推翻了清朝统治,结束了中国两千多年的封建君主专制,建立了中华民国,是中国近代史上的重大转折点,标志着中国封建社会的结束和现代社会的开始。

秦始皇统一六国是中国历史上的一个重要事件,但并未结束封建社会。

文化大革命和长征则是中国近现代史上的其他重要事件,但不是封建社会结束的标志。

因此,正确答案是B。

3、清朝的哪位皇帝设立了军机处,加强了君主专制?A. 顺治帝B. 康熙帝C. 雍正帝D. 乾隆帝答案:C 解析:本题主要考查清朝加强君主专制的措施。

军机处是清朝官署名,也称“军机房”、“总理处”。

是清朝时期的中枢权力机关,于雍正七年(1729年)因用兵西北而设立。

雍正帝以内阁在太和门外,恐漏泄机密,始于隆宗门内设置军机房,选内阁中谨密者入值缮写,以为处理紧急军务之用,辅佐皇帝处理政务。

雍正十年(1732年),改称“办理军机处”。

设军机大臣、军机章京等,均为兼职。

乾隆帝时期复设军机处,从此成为清朝的中枢权力机关,一直到清末。

故选项C正确,选项A、B、D错误。

4、被誉为“南国之门”的是哪一座城市?A. 广州B. 深圳C. 珠海D. 厦门答案:A 解析:本题主要考查中国城市的别称和特色。

广州是中国南部广东省的省会,是中国南方的经济、文化和交通中心。

浙江省杭州市2023年中考英语真题((附参考答案))

浙江省杭州市2023年中考英语真题((附参考答案))

浙江省杭州市2023年中考英语真题一、阅读理解(共15小题,每小题2分,满分30分)阅读理解I like going to stores,but how do you know if a store has what you want?The greatthing about shopping online is saving time!There are so many choices,and it doesn't takemuch time to find what you want!(Jake,Sydney,Australia)The first time I bought something online,I was a little nervous.I didn't know how they were going to ship it.But it arrived OK.Now the only problem is that I do too muchshopping online.And because I don't have to go out much anymore,I'm not very fit!(Mari,Lima,Peru)I wanted to buy a new pair of sunglasses,but I was too busy to go to the stores in thecity center.So I decided to order them online.They arrived quickly,but they were brokenand the case looked used!So I had to go to the store to change them.What a waste of time!(Troy,Jersey City,USA)I bought a lot of electronics online last year,and everything was a good deal.Theproblem is that someone stole my credit card(信用卡)information and went shopping.Myadvice is:Be very careful when you shop online!(Eric,Ottawa,Canada)I buy all my things online-it's so cool!I never have to go to the mall or wait in line topay.And I don't have to go around to different stores to compare prices.The only problemis that I usually spend too much money!I'm broke!(Nancy,Seattle,USA)1.How did Mari feel when she first shopped online?A.Disappointed.B.Excited.C.Worried.D.Interested. 2.What was Troy's opinion on his online shopping experience?A.It wasted time.B.It saved money.C.It harmed health.D.It provided choices.3.Who does all the shopping online?A.Jake.B.Mari.C.Eric.D.Nancy.阅读理解Remember the delicious pizza that you created?For most of us,it takes a long time to learn how to make something tasty,but not for Remmi Smith.Still a teenager,she's already creating fantastic dishes.She's alsobecoming well known for her Italian salad dressing,which is delicious.And with her knowledge of social media (媒体),she's making sure that everyone knows she's here!Remmi,who was born in China,now lives in the USA.She is just16.She has already starred in two shows on cooking and her book of healthy recipes has recently come out.From the age of four,Remmi helped in the kitchen by preparing vegetables.By the age of seven,Remmi was a real food lover who could cook complete meals for her family.Remmi began making videos for fun.Her mother videoed her while she was cooking and put the videos online.A local TV station broadcast(播放)them.They then asked Remmi to create another show for them.That show is mainly about Remmi's interest,which is getting teenagers to take healthy eating seriously.She believes that when young people make their own food,they care more about what they eat.Remmi works with a company in the USA which shows her videos in school dining halls.About3.5million students watch her every day!Remmi believes that young people can create a healthy meal for their family which doesn't cost a lot.Her delicious recipes include vegetable paella and strawberry kebabs.In fact,strawberries,which are Remmi's favorite food,appear in other recipes,including strawberry sandwich!Her latest idea is a healthy-snack service.For a monthly subscription(订购),you receive snacks,which include fruit sticks and popcorn,and fun cooking activities that help you develop a healthy lifestyle. 4.When could Remmi make complete family meals?A.From the age of four.B.By the age of seven.C.Over the age of nine.D.At the age of sixteen.5.Why did the local TV station ask Remmi to make another show?A.To create more recipes.B.To encourage healthy eating.C.To show her media talent.D.To sell her cooking videos.6.Which was the correct time order of the following events?①Remmi's book of recipes came out.②A TV station broadcast Remmi's videos.③Remmi created a show for teenagers.④Remmi's mother put her videos online.A.②③④①B.②④①③C.④③②①D.④②③①7.Which is the best title for the text?A.An Expert of Social Media B.A Lover of Strawberry DishesC.A Young Star of the Kitchen D.A Teenage Star of TV Shows阅读理解Cyclocross is cross-country bicycle racing.Racers spend only part of a race on their bikes because only part of the two-mile race is smooth.Other parts of the race have the challenge of obstacles(障碍).When racers reach them,they can ride over them,or pick up their bikes and run.To be a top racer,you must dismount without slowing down at all.To do this,swing your right leg over the bike seat.At the same time,move the bike away from your body.This makes room for your right foot to hit the ground next to your left foot.As your right foot nears the ground,take your left foot away from the bike.Put both feet on the ground and start running!As soon as you are running,you have to decide what to do with your bike.You may shoulder it or lift it.It's important to practice both skills.Sometimes you need to run fast and jump over some obstacles.As your feet hit the ground,you reach down and catch the bottom of your bike.Lift up carefully and keep the bike on your right shoulder while you run.Sometimes you may lift your bike.You catch the top of your bike.Then you lift the bike high enough to get over the obstacles and carefully put the bike on the ground.After you have carried your bike across an obstacle,you will need to remount.As soon as your bike is on the ground,push off with your left leg,swing your right leg over the bike seat,and move into riding position. Remounting can be the hardest skill of cyclocross.You can learn by watching someone who remounts well.Cyclocross is a great way to stay active and have fun.However,it can be dangerous.Make sure that you are well prepared.Then,you will just need to go!8.What can we learn about cyclocross from the text?A.It's a no-obstacle bike race.B.It's a cross-city bike race.C.It's a challenging bike race.D.It's a dangerous running race.9.What does the underlined word"dismount"in paragraph2mean?A.Pick up a bike.B.Get off a bike.C.Get back on a bike.D.Practice riding a bike.10.Why does a racer have to shoulder a bike in a race?A.To jump over obstacles.B.To take care of the bike.C.To make room for others.D.To hit the ground harder.11.What is the text mainly about?A.The skills of cyclocross racing.B.The history of cyclocross racing.C.The records of cyclocross racing.D.The popularity of cyclocross racing.阅读理解We all enjoy being part of a group-there's no better work than teamwork,right?Actually,I disagree. Teamwork can be hard.In fact,it was so difficult that I left my office job and started working from home on my own.It's a much better fit for me,and it has made me think about why teamwork can make our jobs harder rather than easier.Personalities(个性)can make teamwork difficult.There's often someone on the team that puts their needs first.The team often goes along with this person,whose ideas might not be the best,just the loudest.Just one difficult personality can make teamwork bine(结合)several challenging personality types,and it's even harder.Not having enough time together can also make teamwork challenging.For example,I was once on a team where we never had enough time to meet as a group.To successfully work as a team,you need time together-and lots of it.A final reason teamwork is difficult is because there's often no training on how to work on a team.You can't just put people in a room and expect them to work well with each other.You need to build trust with your team members.Think of football players:They aren't just given a ball and told to play.They practice,and they train.Team can be hard,but working alone has its challenges,too.When my computer doesn't work,I don't have an IT person to turn to.When I have a great idea,I don't have anyone to share it with to see if it really is a great idea.Don't get me wrong-I still like my team of one and enjoy making all of the important decisions myself.But now I realize what was wrong with the teamwork I did in the past and how good teamwork could be if done correctly.And that's useful information-because one day I might want to turn my ME TEAM into a WE TEAM. 12.Why did the writer choose to work from home on his own?A.To keep himself busier.B.To keep himself healthier.C.To make his job easier.D.To make his team harder.13.Which of the following makes teamwork difficult?A.Strong personality.B.Lots of teamwork time.C.Challenging ideas.D.Clear team roles.14.What can we learn from the last paragraph?A.WE TEAM has hardly any advantages.B.ME TEAM needs a lot of IT engineers.C.ME TEAM has no challenges for the writer.D.WE TEAM may be the writer's choice one day.15.What is the purpose of the text?A.To show the advantages of teamwork.B.To tell the importance of teamwork.C.To introduce the influence of teamwork.D.To explain the difficulties of teamwork.二、任务型阅读(共5小题,每小题2分,满分10分)下面文章中有五处需要添加小标题。

浙江省杭州市化学中考试题与参考答案(2024年)

浙江省杭州市化学中考试题与参考答案(2024年)

2024年浙江省杭州市化学中考复习试题(答案在后面)一、单项选择题(本大题有12小题,每小题3分,共36分)1、下列物质中,不属于纯净物的是:A、蒸馏水B、二氧化碳C、空气D、氢氧化钠2、下列化学反应中,不属于氧化还原反应的是:A、2H₂ + O₂ → 2H₂OB、C + O₂ → CO₂C、2KClO₃ → 2KCl + 3O₂D、CaCO₃ → CaO + CO₂3、下列物质中,不属于酸的是:A. 氢氧化钠(NaOH)B. 硫酸(H2SO4)C. 氢氯酸(HCl)D. 碳酸(H2CO3)4、在下列反应中,不属于置换反应的是:A. Fe + CuSO4 → FeSO4 + CuB. 2H2 + O2 → 2H2OC. 2KCl + 2AgNO3 → 2AgCl↓ + 2KNO3D. Zn + H2SO4 → ZnSO4 + H2↑5、下列物质中,属于非电解质的是:A. 氢氧化钠(NaOH)B. 硫酸(H2SO4)C. 氯化钠(NaCl)D. 乙醇(C2H5OH)6、在下列反应中,不属于置换反应的是:A. 2H2 + O2 → 2H2OB. Fe + CuSO4 → FeSO4 + CuC. 2HCl + Mg → MgCl2 + H2D. CaCO3 → CaO + CO27、下列物质中,不属于酸碱盐的是:A、硫酸钠(Na2SO4)B、氢氧化钠(NaOH)C、氯化铵(NH4Cl)D、二氧化碳(CO2)8、在下列化学反应中,不属于置换反应的是:A、Zn + CuSO4 → ZnSO4 + CuB、Fe2O3 + 3CO → 2Fe + 3CO2C、2H2 + O2 → 2H2OD、CaCO3 → CaO + CO29、题干:在下列物质中,属于酸的是:A. 氢氧化钠(NaOH)B. 氯化钠(NaCl)C. 硫酸(H2SO4)D. 氧气(O2)11、下列物质中,属于有机化合物的是:A. H2O(水)B. CO2(二氧化碳)C. CH4(甲烷)D. NaCl(氯化钠)二、多项选择题(本大题有3小题,每小题3分,共9分)1、题干:下列物质中,哪些属于有机高分子化合物?A、淀粉B、氯化钠C、葡萄糖D、聚乙烯2、题干:下列说法中,正确的是:A、所有的酸都含有氢离子B、所有的碱都含有氢氧根离子C、酸碱中和反应一定会生成盐和水D、酸碱指示剂在酸碱溶液中的颜色变化与其浓度无关3、以下哪些物质在水溶液中会发生水解反应? ( )A. NaClB. CH3COONaC. NH4ClD. K2SO4三、填空题(本大题有5小题,每小题6分,共30分)1、在化学中,下列物质中属于金属元素的是______ 。

浙江省杭州市2022年中考英语真题(含答案)

浙江省杭州市2022年中考英语真题(含答案)

浙江省杭州市2022年中考英语真题试卷姓名:__________ 班级:__________考号:__________小题,每小题2分,满分30分)阅读理解1.What did Sascha begin to make at the age of 11?A.Skirts.B.Shoes.C.Jeans.D.Dresses.2.What does the underlined word "They" in Paragraph 3 refer to?A.The courses.B.The teachers.C.The classes.D.The students.3.What does Sascha plan to be in the future?A.A shoe designer.B.A handbag designer.C.A dress designer.D.A home designer.阅读理解What did people do to communicate in ancient times? Here are some very interesting answers to this question.Alphorns (阿尔卑斯长号角)were once used to communicate in the mountains in Switzerland. They are very long and they are very heavy, too. So, alphorns are hard work to blow. Then why use them? Well, they make a loud sound which travels much further than the human voice. Herdsmen (牧民)used them to call cows in the distance for milking. At sunset, alphorns were also used to send a message down to villagers that all was well. These days, they're mostly used as musical instruments.The people of La Gomera, an island in Europe, have their own special way of sending messages from mountain to mountain. They use a whistled (口哨的)language called el silbo which comes from their language Spanish. Whistling can be heard within five kilometers, which means it can be used across much greater distances than shouting. El silbo can be used for all kinds of messages, including greetings and announcements. El silbo is used a lot less than it used to be, but primary school students in La Gomera have to learn it.Did you know it's also possible to send messages without making a noise? This is called visual communication, and it includes the use of flags and even smoke. Long ago, soldiers along the Great Wall of China used smoke as a warning. If they noticed the enemy from their signal(信号)tower, they lit a smoky fire. When soldiers in other towers saw the smoke signal, they lit fires too. In this way, messages about the enemy's arrival could travel as far as 800 km in just a few hours.4.What are alphorns mostly used for today?A.Communicating in the mountains.B.Calling cows for milking.C.Sending messages down to villagers.D.Playing a kind of music.5.Why do the people of La Gomera use el silbo to communicate?A.Because it can send messages to animals.B.Because it is different from their language.C.Because it can be heard at a great distance.D.Because it is a subject for young students.6.How did soldiers along the Great Wall get warning messages between towers?A.By listening.B.By whistling.C.By shouting.D.By watching.7.Which of the following best shows the structure of the text? (P = Paragraph)A.B.C.D.阅读理解Can anyone be an astronaut?Of course not. You don't have to have a science degree but most astronauts do. Most of them are pilots too. Lifein a spaceship is hard so you must have a healthy body and mind. You need to be easy-going, patient, and helpful to spend so much time in a small space with other people.What's the training like?People have to train for a year to learn how to stay healthy and safe. They practise space walking and living in zero gravity (重力). They train in difficult conditions to learn how to solve problems and to work in a team. Everyday tasks like eating, washing and sleeping can be difficult on a spaceship. There is no running water so you have to wash with wet tissues; it's hard to enjoy the dry food that astronauts have to eat. And to sleep you must cover your eyes because the sun rises every 90 minutes on the International Space Station. You also have to tie yourself to something so you don't fly away!What health problems do astronauts have?Life in zero gravity causes changes to our bodies. Bones and muscles (肌肉)become thin and weak so you must do a lot of exercise in space to stay fit and to help the heart move blood around your body. Astronauts often get backache because you grow in space—up to 8 centimeters! It's also common to have headaches and to feel sick, especially at the beginning. You must have vitamins to take the place of fresh fruit and vegetables. But you don't have to put on sun cream because space suits protect your skin(皮肤).Are you still interested?So now you know. If you want to go to space, study hard, learn to fly and take care of your body and mind. 8.What is a must for an astronaut?A.A science degree.B.A pilot's license.C.A healthy body and mind.D.A weak character.9.What must you do to prepare for a space trip?A.Experience zero gravity.B.wash with running water.C.Practise long walks.D.Sleep with your eyes open.10.Why do astronauts have to exercise in space?A.To make their bones and muscles thinner.B.To help the heart work well and keep fit.C.To avoid backache and grow much taller.D.To stop their skins from getting sunburned.11.What is the text mainly about?A.What we need to know to become an astronaut.B.Why young people are interested in space trips.C.What problems astronauts must solve in space.D.Why we need to train hard before a space trip.阅读理解There are many different ways to solve a problem. One way is to be creative. People often think creative thinking is just for artists and designers, but this is not true. Dr. Edward de Bono, an expert in creative thinking and problemsolving, has shown the world that using creativity to solve problems is very useful in business and in our communities, and will continue to be so in the future.One example of creative thinking is the solution to a parking problem in a town center. In the areas close to stores, people can only park for 20 minutes. There are parking meters where people pay to park in these areas. However, the problem is that many people leave their cars there for longer than 20 minutes. Dr. Edward de Bono's solution is to make a rule that all cars parked in these areas must keep their headlights on. Of course, drivers will want to return to their cars before their car batteries (蓄电池)die.According to Dr. de Bono, people will need to use creative thinking more often in the future. To help people think more creatively, he designed the "Six Thinking Hat" system (系统). The system helps people think about a problem in different ways in order to find a solution. In the system, there are six imaginary hats of different colors. Each hat symbolizes a different way of thinking. For example, the white hat helps people consider the facts. The black hat is the most logical (有逻辑的)and helps people consider why a possible solution may not work. So, next time you have a problem in your community, think about it creatively, from different perspectives, and see what ideas you have.12.What is the topic of the text?A.Being a creative artist in the community.B.Doing business successfully in the future.C.Asking experts for some useful advice.D.Using creative thinking to solve problems.13.Why is the example mentioned in Paragraph 2?A.To express a result.B.To describe a problem.C.To support the topic.D.To list some numbers.14.What does the underlined word "perspectives" in Paragraph 3 mean?A.Ways.B.Places.C.People.D.Rules.15.Which of the following is true about the "Six Thinking Hats" system?A.The system is used to help people think quickly.B.The white hat helps people think about the facts.C.The black hat has to do with people's feelings.D.Six hats of different shapes can be very helpful.二、任务型阅读(共5小题,每小题2分,满分10分)下面文章中有五处需要添加小标题。

浙江省杭州市2024年中考数学试卷(含答案)

浙江省杭州市2024年中考数学试卷(含答案)
21.尺规作图问题: 如图 1,点 h 是 th 边 上一点(不包含 , ),连接 hh.用尺规作 h hh,h 是边 th 上一点. 小明:如图 2.以 h 为圆心, h 长为半径作弧,交 th 于点 h,连接 h,则 h hh. 小丽:以点 为圆心,hh 长为半径作弧,交 th 于点 h,连接 h,则 h hh. 小明:小丽,你的作法有问题. 小丽:哦……我明白了!
浙江省 2024 年中考数学试卷
阅卷人 得分
一、选择题(每题 3 分)
1.以下四个城市中某天中午 12 时气温最低的城市是( )
北京
济南
太原
郑州
0℃
-1℃
-2℃
3℃
A.北京
B.济南
C.太原
2.5 个相同正方体搭成的几何体主视图为( )
D.郑州
A.
B.
C.
D.
3.2024 年浙江经济一季度 GDP 为 201370000 万元,其中 201370000 用科学记数法表示为( )
时间
里程分段 速度档 跑步里程
小明 16:00~16:50 不分段 NhomakorabeaA档
4000 米
第一段
B档
1800 米
第一次休息
小丽 16:10~16:50 第二段
B档
1200 米
第二次休息
第三段
C档
1600 米
(1)求 ,t,h 各档速度(单位:米/分); (2)求小丽两次休息时间的总和(单位:分);
(3)小丽第二次休息后,在 分钟时两人跑步累计里程相等,求 的值.
(A)科普讲座 (B)科幻电影
(C)AI 应用
(D)科学魔术
如果问题 1 选择 C.请继续回答问题 2.

(精品中考卷)浙江省杭州市中考数学真题及答案

(精品中考卷)浙江省杭州市中考数学真题及答案

数 学 试题卷一.选择题:本大题有10个小题,每小题3分,共30分.在每小题给出的四个选项中,只有一项是符合题目要求的.1.圆圆想了解某地某天的天气情况,在某气象网站查询到该地这天的最低气温为-6℃,最高气温为2℃,则该地这天的温差(最高气温与最低气温的差)为()A .-8℃B .-4℃C .4℃D .8℃2.国家统计局网站公布我国2021年年末总人口约1412600000人,数据1412600000用科学记数法可以表示为( )A .814.12610⨯B .91.412610⨯C .81.412610⨯D .100.1412610⨯3.如图,已知AB CD ∥,点E 在线段AD 上(不与点A ,点D 重合),连接CE .若∠C =20°,∠AEC =50°,则∠A =()A .10°B .20°C .30°D .40° 4.已知a ,b ,c ,d 是实数,若a b >,c d =,则( )A .a c b d +>+B .a b c d +>+C .a c b d +>-D .a b c d +>-5.如图,CD ⊥AB 于点D ,已知∠ABC 是钝角,则()A .线段CD 是△ABC 的AC 边上的高线B .线段CD 是△ABC 的AB 边上的高线 C .线段AD 是△ABC 的BC 边上的高线D .线段AD 是△ABC 的AC 边上的高线6.照相机成像应用了一个重要原理,用公式()111v f f u v=+≠表示,其中f 表示照相机镜头的焦距,u 表示物体到镜头的距离,v 表示胶片(像)到镜头的距离.已知f ,u ,则u =( )A .fvf v -B .f vfv- C .fvv f- D .v ffv-7.某体育比赛的门票分A 票和B 票两种,A 票每张x 元,B 票每张y 元.已知10张A 票的总价与19张B 票的总价相差320元,则( )A .1032019xy= B .1032019yx =C .1019320x y -=D .1910320x y -=8.如图,在平面直角坐标系中,已知点P (0,2),点A (4,2).以点P 为旋转中心,把点A 按逆时针方向旋转60°,得点B .在1M ⎛⎫⎪ ⎪⎝⎭,()21M -,()31,4M ,4112,2M ⎛⎫⎪⎝⎭四个点中,直线PB 经过的点是( )A .1MB .2MC .3MD .4M9.已知二次函数2y x ax b =++(a ,b 为常数).命题①:该函数的图象经过点(1,0);命题②:该函数的图象经过点(3,0);命题③:该函数的图象与x 轴的交点位于y 轴的两侧;命题④:该函数的图象的对称轴为直线1x =.如果这四个命题中只有一个命题是假命题,则这个假命题是( )A .命题①B .命题②C .命题③D .命题④10.如图,已知△ABC 内接于半径为1的O ,BAC θ∠=(θ是锐角),则ABC △的面积的最大值为()A .()cos 1cos θθ+B .()cos 1sin θθ+C .()sin 1sin θθ+D .()sin 1cos θθ+二.填空题:本大题有6个小题,每小题4分,共24分,11=_________;()22-=_________.12.有5张仅有编号不同的卡片,编号分别是1,2,3,4,5.从中随机抽取一张,编号是偶数的概率等于_________.13.已知一次函数31y x =-与y kx =(k 是常数,0k ≠)的图象的交点坐标是(1,2),则方程组31x y kx y -=⎧⎨-=⎩的解是_________.14.某项目学习小组为了测量直立在水平地面上的旗杆AB 的高度,把标杆DE 直立在同一水平地面上(如图).同一时刻测得旗杆和标杆在太阳光下的影长分别是BC =8.72m .EF =2.18m .已知B ,C ,E ,F 在同一直线上,AB ⊥BC ,DE ⊥EF ,DE =2.47m .则AB =_________m .15.某网络学习平台2019年的新注册用户数为100万,2021年的新注册用户数为169万,设新注册用户数的年平均增长率为x (0x >),则x =_________(用百分数表示). 16.如图是以点O 为圆心,AB 为直径的圆形纸片.点C 在O 上,将该圆形纸片沿直线CO 对折,点B 落在O 上的点D 处(不与点A 重合),连接CB ,CD ,AD .设CD 与直径AB 交于点E .若AD =ED ,则∠B =_________度;BCAD的值等于_________.三.解答题:本大题有7个小题,共66分。

2023年浙江省杭州市中考语文试题及答案

2023年浙江省杭州市中考语文试题及答案

2023年浙江省杭州市中考语文试题及答

试题一
下面是一篇短文,请根据短文内容回答问题。

(1)海滩上,沙子滑细。

阳光明媚,细沙洁白。

他们相互追逐着,玩得不亦乐乎。

(2)这边的海浪翻滚,那边的孩子们在沙滩上载歌载舞。

快乐的时光总是过得特别快。

(3)夕阳渐渐西下,天空染上了斑斓的颜色。

海洋的波涛汹涌澎湃,给人一种无尽的力量。

问题:请简述这篇短文讲述了什么场景?(2分)
答案:
这篇短文讲述了孩子们在阳光明媚的海滩上相互追逐,玩耍快乐的场景。

夕阳西下时,海洋的波涛澎湃,给人一种无尽的力量。

试题二
下面是一封书信,请根据书信内容回答问题。

亲爱的爸爸妈妈:
你们好吗?我在这里过得很好。

学校里的老师很好,同学们也很友好。

研究很有趣,我喜欢上学。

我还参加了学校的足球队,现在我是队长。

我很喜欢踢足球,每天都兴奋地等待着放学后的训练。

我还在研究画画,老师说我进步很快,这让我很开心。

我非常想念你们。

期待学校放假回家的那一天。

爸爸妈妈,我爱你们!
问题:在这封书信中,作者对什么事情表达了自己的喜欢和思念之情?(2分)
答案:
在这封书信中,作者表达了对学习、踢足球和画画的喜欢,以及对爸爸妈妈的思念之情。

2022年浙江省杭州市中考科学真题(解析版)

2022年浙江省杭州市中考科学真题(解析版)
C.按有无成形细胞核区分,生物细胞分为原核细胞和真核细胞二类,C错误。
D.人体中枢神经系统分为脑和脊髓,D错误。
故选A。
8.下列植物生殖方式中,后代更容易发生变异的是( )
A.组织培养B.异花传粉C.嫁接D.扦插
【答案】B
【解析】
【分析】(1)有性生殖是指经过两性生殖细胞(例如精子和卵细胞)的结合成为受精卵,再由受精卵发育成为新的个体的生殖方式。
故选A。
4.达尔文曾有过下列描述:牛喜欢吃三叶草:三叶草要靠土蜂传粉;田鼠吃土蜂的蜜和幼虫,捣毁土蜂的巢,猫捕食田鼠。根据上述生物之间的关系分析,下列能正确表示一条食物链的是( )
A.阳光→三叶草→土蜂B.三叶草→牛C.土蜂→田鼠→猫D.土蜂→三叶草→牛
【答案】B
【解析】
【分析】食物链反映的是生产者与消费者之间吃与被吃的关系,所以食物链中不应该出现分解者和非生物部分。食物链的正确写法是:生产者→初级消费者→次级消费者…注意起始点是生产者。
C、取用粉末状药品,试管倾斜,用药匙或纸槽把药品送到试管底部,然后使试管直立起来,图中所示操作错误;
D、向试管中倾倒倾倒稀硫酸时,瓶口紧挨烧杯口;图中瓶口没有紧挨烧杯口,图中所示操作错误。
故选A。
11.小金和小杭并排坐在等待发车的和谐号列车上。此时,边上有一列复兴号列车也在等待发车。过了一会儿,小金说,我们的车开动了。而小杭却说,我们的车没有开动,因为站台柱子没有动。小金判断和谐号列车开动,选取的参照物是( )
C、40℃时恒温蒸发一杯不饱和食盐水至有晶体析出,溶液由不饱和溶液变为饱和溶液,溶质的质量分数变大,故选项说法错误;
D、温度不变,食盐的溶解度不变,故选项说法正确。
故选D。
14.下列所成的像为实像的是( )

2023年浙江杭州中考语文真题及答案

2023年浙江杭州中考语文真题及答案

2023年浙江杭州中考语文真题及答案一、班级开展以“想象”为主题的学习活动,请你完成任务。

(22分)【想象之义】。

根据要求完成任务。

◎想象这个耀眼的太阳只有和大地接触才会燃烧,它不能在空中发光,在空中它会xī()灭。

(帕乌斯托夫斯基)◎科学也需要创造,需要幻想,有幻想才能打破传统的束fù(),才能发展科学。

(郭沫若)◎想象是人们追忆形象的机能,完全失去这个机能的人是一个愚昧.的人。

(狄德罗)1.按拼音填写汉字。

(1)xī()灭(2)束fù()2.依据“昧”字意义的演变图,为“愚昧”的“昧”选择正确的解释。

【思接千载】3.在下面横线上填写古诗文名句。

想象让思绪穿越季节,“忽如一夜春风来,①_______”;想象让豪情连接宇宙,“②_______,③_______。

星汉灿烂,若出其里”;想象令诗人沉浸他日团聚的情境,“何当共剪西窗烛,④_______”;想象助词人再现壮美的梦中奇景,“天接云涛连晓雾,⑤_______”。

“怒而飞,⑥_______”,是庄子对大鹏的瑰丽想象;“芳草鲜美,⑦_______”,是陶渊明对心中桃源的真切描画。

“⑧_______,⑨_______”,李白畅想沧海扬帆的美好前程;“⑩_______,弓如霹雳弦惊”,辛弃疾回想沙场驰骋的壮阔场景。

【视通万里】4.下列小说富于想象,请从任意一部中选择一个异乎寻常、让你印象深刻的细节,并谈谈它超越现实之处。

□《西游记》□《海底两万里》□《哈利波特与死亡圣器》□《格列佛游记》【想象之翼】。

5.诗歌需要想象,能从看似无关的事物中找到共同点,从而产生新奇的效果,譬如下面两首诗。

请从“彩虹”“气球”“仙人掌”“落叶”中选择一个作为标题,尝试写一首小诗,不超过6行。

沙海樊忠慰这无法游泳的海只能以驼铃解渴每一粒沙都是渴死的水蝴蝶·豌豆花郭风一只蝴蝶从竹篱外飞来,豌豆花问蝴蝶,你是一朵飞起来的花吗?二、(17分)诗歌创作课①文珠老师分配到这所乡镇中学刚满一学期,校长就要求30岁以下的青年教师都要开一门选修课。

2023年杭州市中考数学试卷(含答案解析版)

2023年杭州市中考数学试卷(含答案解析版)

2023年杭州市中考数学试卷(含答案解析
版)
一、选择题
1. 一辆汽车以40km/h的速度行驶了2小时,它所行驶的距离是多少?
A. 80km
B. 60km
C. 120km
D. 100km
正确答案:C
解析:距离等于速度乘以时间,所以距离等于40km/h × 2h = 80km。

2. 以下哪个数是质数?
A. 12
B. 9
C. 7
D. 15
正确答案:C
解析:质数是只能被1和本身整除的数,而7只能被1和7整除,所以是质数。

...
三、解答题
1. 用标准形式表示下面的代数式:(a + b)(a - b)。

答案解析:利用(a + b)(a - b) = a^2 - b^2的公式,得到标准形式为a^2 - b^2。

2. 某商品原价为120元,现在打8折出售,购物券可以再打5折,求使用购物券后的最终价格。

答案解析:打8折相当于原价乘以0.8,再打5折相当于乘以0.5,所以最终价格为120元 × 0.8 × 0.5 = 48元。

...
以上为2023年杭州市中考数学试卷的部分内容及答案解析。

如需了解完整试卷内容,请参考相关学校或教育机构发布的正式版本。

(注:本文档仅为模拟演示,试题内容和答案解析仅作示例,并非真实数据。

请以实际发布的试卷为准。

)。

杭州中考试题及答案

杭州中考试题及答案

杭州中考试题及答案一、语文部分【选择题】(每小题2分,共40分)1. 下列诗句中,属于对景物进行描写的一组是()A. “东篱菊卉未曾开,白露染成秋更菜。

”B. “萧萧梧桐叶上霜”C. “独在异乡为异客,每逢佳节倍思亲。

”D. “扶桑展神州,旗帜写象牙”。

2. “水调歌头·明月几时有”这首词的作者是()A. 贺铸B. 杨洪基C. 苏东坡D. 李清照3. 下列词语中,古诗的韵脚形式正确的是()A. 欢欣B. 子规C. 游子D. 音乐4. 下列四句中,运用了修辞手法“夸张”进行描写的是()A. 科技拨开了黑夜的面纱,给人类带来了充足的光明。

B. 睡得跟猪似的,早晨才会醒。

C. 这部小说像一部精美的画卷,描绘了一幅幅美丽的风景。

D. 火车在轨道上行驶,速度如闪电般快。

5. 标点符号的作用是()A. 美化作文B. 长短句之间的停顿C. 增加字数D. 打破语序的规律6. 以下哪个成语的意思正确无误()A. 一寸光阴一寸金B. 情非得已C. 莫衷一是D. 孟母三迁7. 下列句子,使用了比喻修辞手法的一句是()A. 像一颗明珠般闪亮的眼睛,透露出一丝温情。

B. 雨点敲打在窗户上,像是天使的笑声。

C. 哥哥像一面旗帜,为我们做榜样。

D. 爸爸像一位河流的引导员,默默地引导着我们前进。

8. “笑到最后的人笑得最好”的意思是()A. 靠笑可以实现最终目标B. 用笑来化解尴尬C. 大家都会开心D. 大家都能顺利解决问题9. “后生可畏”中的“可畏”指的是()A. 可怕B. 可敬畏C. 可无畏D. 可亲爱10. 下列成语中,与“杜绝”意思相近的是()A. 锦衣玉食B. 孤立无援C. 另辟蹊径D. 洞若观火11. “层林尽染,户户端午嗫嚅”这句诗描绘的是()A. 端午节氛围浓厚B. 清晨乡村的景色C. 春天的景象D. 暑假的校园12. 以下哪项不属于规范汉字()A. 薇B. 乜C. 爿D. 惢13. 以下哪个不属于表扬的方法()A. 赞美别人的羸弱B. 肯定别人的优点C. 表达自己的良好愿望D. 感激别人的帮助14. 复述意思最恰当的一句话是:______()A. 飞蛾扑火,人人有责。

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2016杭州市初中毕业升学考试数学卷一、填空题(每题3分)
1
=()
A. 2
B. 3
C. 4
D.5
2. 如图,已知直线a∥b∥c,直线m交直线a,b,c于点A,B,C,直线n交直线a,b,c
于点D,E,F,若
1
2
AB
BC
=,则
DE
EF
=()
F
E
D
C
B
A
c
b
a
n
m
A. 1
3
B.
1
2
C.
2
3
D.1
3.下列选项中,如图所示的圆柱的三视图画法正确的是()
A

俯视图
左视图
主视图
B
.
俯视图
左视图
主视图
C
.
主视图左视图
俯视图
D
.
主视图左视图
俯视图
4. 如图是某市2016年四月每日的最低气温(℃)的统计图,则在四月份每日的最低气温这
组数据中,中位数和众数分别是()
A. 14℃,14℃
B. 15℃,15℃
C. 14℃,15℃
D. 15℃,14℃
5. 下列各式变形中,正确的是()
A . 236x x x =g B
. x = C .211x x x x ⎛
⎫-÷=- ⎪⎝

D .2
211124x x x ⎛
⎫-+=-+ ⎪⎝

6. 已知甲煤场有煤518吨,乙煤场有煤106吨,为了使甲煤场存煤是乙煤场的2倍,需要
从甲煤场运煤到乙煤场,设从甲煤场运煤x 吨到乙煤场,则可列方程为( )
A . ()5182106x =+
B .5182106x -=⨯
C . ()5182106x x -=+
D .()5182106x x +=-
7. 设函数(0,0)k
y k x x
=≠>的图像如图所示,若1z y =,则z 关于x 的函数图像可能为( )
A. B. C. D.
8. 如图,已知AC 是O e 的直径,点B 在圆周上(不与A 、C 重合),点D 在AC 的延长线上,连接BD 交O e 于点E ,若∠AOB =3∠ADB ,则( )
D
A
(第7题图) (第8题图) (第12题图) A . DE EB =
B .
EB =
C .
DO =
D .D
E OB =
9. 已知直角三角形纸片的两条直角边分别为m 和n (m n <),过锐角三角形顶点把该纸片剪成两个三角形,若这两个三角形都为等腰三角形,则( ) A .2220m mn n ++= B .2220m mn n -+= C .2220m mn n +-= D .2220m mn n --= 10. 设a ,b 是实数,定义@的一种运算如下:()()2
2
@a b a b a b =+--则下列结论: ①若@0a b =,则0a =或0b = ②()@@@a b c a b a c +=+ ③不存在实数a ,
b ,满足 ④设a ,b 是矩形的长和宽,若矩形的周长固定,则当a =b 时, @a b 最
大.其中正确的是 .
A .②③④
B .①③④
C . ①②④
D . ①②③
二、填空题(每题4分)
11. tan60︒= .
12. 已知一包糖果共有5种颜色(糖果只有颜色差别),如图是这包糖果分布百分比的统计图,在这包糖果中任意取一粒,则取出糖果的颜色为绿色或棕色的概率是 .
13. 若整式22x ky +(k 为不等于零的常数)能在有理数范围内因式分解,则K 的值可以是 (写出一个即可).
14. 在菱形ABCD 中,∠A =30°,在同一平面内,以对角线BD 为底边作顶角为120°的等
腰三角形BDE ,则∠EBC 的度数为 15. 在平面直角坐标系中,已知A (2,3),B (0,1),C (3,1),若线段AC 与BD 互相平分,
则点D 关于坐标原点的对称点的坐标为 . 16. 已知关于x 的方程
2
m x =的解满足()30325x y n n x y n -=-⎧<<⎨+=⎩
,若1y >,则m 的取值范围
是 .
三、解答题
17.(6分) 计算11623⎛⎫÷-+ ⎪⎝⎭,方方同学的计算过程如下,原式=1166121823⎛⎫
÷-+÷=-+ ⎪⎝⎭
=6.
请你判断方方的计算过程是否正确,若不正确,请你写出正确的计算过程.
18.(8分)某汽车厂去年每个季度汽车销售数量(辆)占当季汽车产量(辆)百分比的统计图
如图所示.根据统计图回答下列问题:
(1)若第一季度的汽车销售量为2120辆,求该季的汽车产量; (2)圆圆同学说:“因为第二,第三这两个季度汽车销售数量占当季汽车产量是从75%
降到50%,所以第二季度的汽车产量一定高于第三季度的汽车产量”,你觉得圆圆说的对吗?为什么?
19.(8分)如图,在△ABC 中,点D ,E 分别在边AB ,AC 上,∠AED =∠B ,射线AG 分
别交线段DE ,BC 于点F ,G ,且AD DF
AC CG
=
. (1)求证:△ADF ∽△ACG ; (2)若
12AD AC =,求
AF
FG
的值. G
F
E D
C
B
A
20.(10分)把一个足球垂直水平地面向上踢,时间为t (秒)是该足球距离地面的高度h (米)
适用公式()22004h t t t =-≤≤.
(1)当t =3时,求足球距离地面的高度;
(2)当足球距离地面的高度为10米时,求t .
(3)若存在实数1212,()t t t t ≠当t =1t 或2t 时,足球距离地面的高度都为m (米),求m 的取值范围.
21.(10分)如图,已知四边形ABCD 和四边形DEFG 为正方形,点E 在线段DE 上,点A ,D ,G
在同一直线上,且AD =3,DE =1,连接AC ,CG ,AE ,并延长AE 交CG 于点H . (1) 求sin EAC ∠的值. (2)求线段AH 的长.
H G F
E
D
C
B
A
22.(12分)已知函数()212,0y ax bx y ax b ab =+=+≠.在同一平面直角坐标系中. (1)若函数1y 的图像过点(-1,0),函数2y 的图像过点(1,2),求a ,b 的值. (2)若函数2y 的图像经过1y 的顶点.①求证:20a b +=;②当3
12
x <<时,比较1y ,2y 的大小.
23.(12分)在线段AB 的同侧作射线AM 和BN ,若∠MAB 与∠NBA 的平分线分别交射线BN ,
AM 于点E ,F ,AE 和BF 交于点P .如图,点点同学发现当射线AM ,BN 交于点C ;且∠ACB =60°时,有一下两个结论:
①∠APB =120°;②AF +BE =AB .那么,当AM 平行BN 时:
(1)点点发现的结论还成立吗?若成立,请给与证明,若不成立,请求出∠APB 的度
数,写出AF ,BE ,AB 长度之间的等量关系,并给与证明;
(2)设点Q 为线段AE 上一点,QB =5,若AF +BE =16,四边形ABEF
的面积为,
求AQ 的长.
P
F
E M
N
C
B A。

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