宜兴外国语学校简答题专题
江苏省宜兴市外国语学校2014-2015学年第一学期初一数学期中试卷
宜兴外国语学校2014—2015学年度第一学期初一数学期中考试试卷（2014、11）出卷：马冬梅 审核：史建军一、精心选一选（每题2分，共计20分）1、下列各组算式中，结果为负数的是 （ ）A ．)5(--B ．|5|--C ．)5()3(-⨯-D ．2)5(- 2、数轴上的点A 到原点的距离是4，则点A 表示的数为 ( )A. 4B. －4C. 4或－4D. 2或－23、下列计算正确．．的是( )A. 3a 2＋a =4a 3B.－2(a －b )=－2a + bC. 5a －4a =1D.a 2b －2a 2 b =－a 2 b 4、下列各数中—（+11）、722、— 431、—2011，分数的个数是( ) A. 1个 B. 2个 C. 3个 D. 4个5、若,,5,7y x y x >==且那么y x -的值是( )A. -2或12 -12 C. 2或126、在代数式： 3ab ， abc 32-， 0 ， -5， x-y ， x 2 ， π1 中,单项式有 ( ) A.3个 B.4个 C.5个 D.6个7、多项式7)4(21+--x m x m 是关于x 的四次三项式，则m 的值是 ( ) A ．4 B ．2- C ．4- D ．4或4-8、下列结论正确的是 （ ）A 任何数都不等于它的相反数；B 符号相反的数互为相反数；C 若有理数a ，b 互为相反数，则它们一定异号．D 若有理数a ，b 互为相反数，那么a+b=0；9、小明在某月的日历上圈出相邻的三个数，算出这三个数的和是78，则这三个数的排列方式一定不可能是( )A ．B ．C ．D ．10、图①是一块边长为1，周长记为1p 的正三角形（三边相等的三角形）纸板，沿图①的底边剪去一块边长为21的正三角形纸板后得到图②，然后沿同一底边依次剪去一块更小的正三角形纸板（即其边长为前一块被剪如图掉正三角形纸板边长的21）后，得图③，④，…，记第n （n ≥3）块纸板的周长为Pn ，则1--n n p p 的值为( )A ．141-⎪⎭⎫ ⎝⎛nB ．n ⎪⎭⎫ ⎝⎛41 C. 121-⎪⎭⎫ ⎝⎛n D. n ⎪⎭⎫ ⎝⎛21 二、细心填一填（每空2分，共计26分） 11、－2的相反数是 ，倒数是____________。
宜兴外国语学校第一学期八年级期末物理考试试题 苏教版
宜兴外国语学校第一学期八年级物理期末考试一试题及评分标准（苏科版）一、选择题：（每小题只有一个选项符合题意，每小题3分，共30分）1.下列说法不合理的是：（）A.人的身高是脚长的7倍B.人的头发直径大约是70μmC珠穆朗玛峰高度是8.84413×103m D一张纸的厚度大约是104mm2.图1所示是生活中常见的光现象，其中与日食的形成具有相同规律的是（）3．如图2所示，小芳正骑自行车向西行驶，她看到前边的汽车和后面向同一方向跑步的小张都距自己越来越远，下列说法正确的是（）A.以小芳为参照物，汽车和小张在向西运动B. 以小芳为参照物，汽车向西运动，小张向东运动、C.以汽车为参照物，小芳和小张都在向西运动D.以小张为参照物，小芳和汽车都在向东运动4.如图3所示，小华拎起水壶向暖水瓶中灌开水，小刚在一旁提醒他：“快满了！”小刚判断的依据是（）A.灌的越多，水面上方空气柱越短，空气柱振动的频率越大，音调越高。
B.水灌的越多，水面上方空气柱越短，空气柱振动的频率越小，音调越高。
C. 水灌的越多，水面上方空气柱越短，空气柱振动的振幅越大，响度越大。
D. 水灌的越多，水面上方空气柱越短，空气柱振动的振幅越小，响度越小。
5.某些动物如响尾蛇，是用对光的感应来捕食的，这种光是（）A.白光B.紫外线C.红外线D.红光6.自行车的尾灯设计得很巧妙，当后面汽车的灯光以任何方向射向尾灯时，它都能把光“反向射回”。
如图4所示是四种尾灯的刨面图，其中用于反光的镜面具有不同的形状，能产生上述效果的镜面是（）7.气象学里的日平均温度，是一日当中的2时、8时、14时、20时这四个时刻气温的平均值。
图5是温度计在某一天当中这四个时刻的示数，那么这天的日平均气温是（）A .2℃ B.1.5℃C.1℃D.0℃8.图6是生活中晾衣服的几种情景，由此判断下列说法正确的是（）A．衣服A和B相比较，B干的快，说明液体蒸发的快慢与温度有关B．衣服C和D相比较，D干的快，说明液体蒸发的快慢与表面积有关C．衣服E和F相比较，E干的快，说明液体蒸发的快慢与空气流动的快慢有关D．蒸发是液体在任何温度下都能发生的，它需要放出热量9．观察图7中所示情景，下列说法正确的是（）A．图7-1说明声音可以在水中传播。
江苏省无锡市宜兴市宜兴外国语学校2023-2024学年七年级上学期9月月考数学试题
江苏省无锡市宜兴市宜兴外国语学校2023-2024学年七年级上学期9月月考数学试题学校:___________姓名：___________班级：___________考号：___________一、单选题A．a b>B．7．下面的说法中，正确的是（A．两个数相加，和一定大于其中一个加数数C．如果两个数的绝对值相等，那么这两个数相等A ．2π-B ．1π-+10．如图，数轴上点A 、B 表示的数分别是示的数为m ，当点M 在数轴上移动时，若3m a m b -=-时，m b -的值为（A ．2B ．2.5二、填空题11．4的相反数是，123-的绝对值是12．以北京时间为标准，早记为＋，晚记为﹣．如：东京时间早19．如图，一条数轴上有点A ，B ，C ，其中点A 、B 表示的数分别是0，7，现在以点C 为折点将数轴向右对折，若点A 的对应点A '落在射线CB 上，且1A B '=，则点的数是.20．设有编号为1-90的90盏灯，分别对应着编号为1-90的90个开关，灯分为“亮亮”两种状态，每按一次开关改变一次相对应编号的灯的状态，所有灯的初始状态为三、解答题(1)数轴上点A 表示的数为________.(2)将长方形OABC 沿数轴水平移动，移动后的长方形记为O A B C ''''，移动后的长方形O A B C ''''与原长方形OABC 重叠部分的面积记为S .①当S 恰好等于原长方形OABC 面积的一半时，数轴上点A '表示的数为________.②设点A 的移动距离AA x '=.i.当6S =时，x =________；ii.D 为线段AA '的中点，点E 在线段OO '上，且13OE OO '=，当点D ，E 所表示的数互为相反数时，求x 的值.28．阅读材料，并回答问题：对于某种满足交换律的运算，如果存在一个确定的有理数n ，使得任意有理数a 行这种运算后的结果都等于a 本身，那么n 叫做这种运算下的单位元.如果两个有理数进行这种运算后的结果等于单位元，那么这两个有理数互为逆元.由上述材料可知：(1)有理数在加法运算下的单位元是________，在乘法运算下的单位元是________；在加法运算下，3的逆元是________，在乘法运算下，某个数没有逆元，这个数是________.=+-，例如(2)在有理数范围内，我们定义一种新的运算：*x y x y xy=+-⨯=-.3*232321①求在这种新的运算下的单位元；②在这种新的运算下，求有理数2023的逆元.。
江苏省无锡市宜兴外国语学校2024年中考四模英语试题含答案
江苏省无锡市宜兴外国语学校2024年中考四模英语试题含答案注意事项1．考试结束后，请将本试卷和答题卡一并交回．2．答题前，请务必将自己的姓名、准考证号用0．5毫米黑色墨水的签字笔填写在试卷及答题卡的规定位置．3．请认真核对监考员在答题卡上所粘贴的条形码上的姓名、准考证号与本人是否相符．4．作答选择题，必须用2B铅笔将答题卡上对应选项的方框涂满、涂黑；如需改动，请用橡皮擦干净后，再选涂其他答案．作答非选择题，必须用05毫米黑色墨水的签字笔在答题卡上的指定位置作答，在其他位置作答一律无效．5．如需作图，须用2B铅笔绘、写清楚，线条、符号等须加黑、加粗．Ⅰ. 单项选择1、School violence(暴力) _______ much attention of the whole society, and people are calling on the government to make laws against it as soon as possible.A．caught B．has caught C．was catching D．will catch2、Sally used to be ，but now she enjoys meeting and talking to new friends.A．honest B．shy C．creative D．lively3、Gee, mum, what are you cooking in the kitchen? It so delicious, I can’t wait to try it.A．looks B．smells C．tastes D．feels4、—I ca n’t afford the white dress.—What about the orange one? The price is a little .A．cheaper B．lower C．more expensive5、Bob took a photo of his girlfriend while she _________ at the party.A．dances B．was dancingC．has danced D．is dancing6、--_____ is the library from your house?--It’s about 5 minutes’ ride. But I usually walk there.A．How soon B．How far C．How often D．How long7、—Marry ______ten years ago. —Y ou mean she ______ him for ten years?A．married；has got married to B．got married；has got married withC．got married；has been married with D．got married；has been married to8、Palace Museum is one of most famous places in Beijing.A．/；an B．A；/ C．The；a D．The；the9、There are many beautiful places to visit in Anhui, ________ Mount Huang in autumn.A．simply B．quietly C．luckily D．especially10、______more information about the trip, you can call Alice at 86337922.A．Get B．GettingC．To get D．GotⅡ. 完形填空11、The umbrella is a very common object. It keeps the 1 and the sun off the people. Most umbrellas can be folded up（折叠）so it is 2 to carry them.However, the umbrella has not always been as 3 as it is now. In the past, it was a symbol of importance. Some African countries still use umbrella in this 4 . Someone carries an umbrella and walks behind the king or important person.Umbrellas are very old. People in different parts of the world began to 5 umbrellas at different times. The Chinese had the more than 3000 years ago. From there, umbrellas 6 to India and Egypt. In Greece and Rome,7 wouldn’t use them. They believed umbrellas were only for women.England was 8 , the first country in Europe where common people used umbrellas against rain. The weather is very 9 and umbrellas are very useful.Everybody uses umbrellas today. The next time you 10 one, thinking that for centuries only great men and women used them , you’ll feel you are important people, too.1．A．rain B．cloud C．air D．water2．A．lovely B．cheap C．hard D．easy3．A．light B．heavy C．common D．special4．A．way B．size C．reason D．place5．A．discover B．use C．examine D．discuss6．A．walked B．traveled C．rode D．flew7．A．children B．parents C．men D．women8．A．probably B．already C．suddenly D．immediately9．A．sunny B．rainy C．A．snowy D．windy10．A．sell B．return C．borrow D．carryⅢ. 语法填空12、用所给动词的正确形式填空Henry Ford was about seven years old when his father died. His mother found it difficult1．(support) the large family. However, she tried her best to do so. Also, she 2．(send) Henry,the eldest son, to school. At one time, Henry needed a grammar book for his study. His family was so poor that his mother could not afford one. One morning, Henry found that a deep snow had fallen, and the cold wind 3．(blow). "Ah,"he said, "it 4．(be) an ill wind that blows nobody good." With these words, he ran to the house of a neighbor, and offered his service to move away the snow around it. The offer5．(accept).When he finished the work, he received his pay. Then he went to another place for the same purpose, and then toanther, until he6．(earn) enough tobuy a grammar book.From that time, Henry was always the first in all his classes. He knew no such word as "fail", and he succeeded in all he tried to do. Having the will, he always found the way.Ⅳ. 阅读理解A13、Several days ago, I was walking home from school and saw some writing on the fence of a house I was passing by. It said, “Happiness is a direction, not a destination (终点).” I had been having a bad day and just reading this brightened my day a little. I also took out a pen and wrote one of my favorite quotes (格言) down. When I came back to the fence, I saw another quote under mine in the handwriting as the first one. I added another, and we kept at this pattern for quite a while. One day, I was writing another quote on the fence and the old man, one of my neighbors, who owned the fence, saw me. He came out and I was afraid he would be mad at me for writing on his fence; he was not known to be very friendly. He gave me a sharp glance and then read the quotes on the fence. Without saying a word, he said something to himself and then went back inside. I was a bit terrified for a while, afraid to go back to the fence, but when I did, I noticed not more quotes but two words in entirely different handwriting had been added, “Thank you.”Later, I saw the old man in his front yard. He beckoned (召唤) me over and told me how my quotes had been inspiring him, how he thanked me and how he was glad to see young people still have “values”. We are now good friend and I talk to him a lot. This experience has changed my life. I still don’t know who wrote that very first quote, but if he is out there, I’d like to say “thanks” to that unknown friend.1．Why did the writer begin to write a quote on the fence?A．He wanted to practice his handwriting.B．He had gotten some help from the quote.C．He thought doing this was interesting.D．He wanted to catch his neighbor’s attention.2．Why was the writer afraid when he found that his neighbor had seen him?A．He had thought that the old man was a mad person. B．he had once been told the old man was cold-hearted.C．He thought the old man would scold(责骂) him for what he had done.D．He thought the old man would tell his parents about his action.3．Who must have added “Thank you.” to the fence?A．The old man. B．Someone else.C．The writer himself.D．That unknown friend.4．We can learn from the passage that __________.A．writing quotes on fences is a good ideaB．the writer has written three quotes on the fenceC．the good relationship between neighbors is very important.D．the old man has changed his opinion about young people.B14、Would you completely trust your friends if you couldn’t see anything? If you are falling, do you believe they will catch you and help you stand up? Our teacher helped us to find the answer.Our teacher is named Morrie. One day, he said that he had a game for us to try. He divided us into two groups. One of the students from the first group, stands in front of us with his eyes closed, and then falls backwards(向后). The second group stand behind him. Before he falls on the floor, they should catch him and not let him get hurt. Most of us were uncomfortable with this. We were afraid that they wouldn’t catch us and we would hit the floor. So we didn’t m ove. We just stood there and laughed in embarrassment(尴尬).Finally, one student, thin, quiet, dark-haired girl called Sarah, decided to move. She crossed her arms in front of her body, closed her eyes, and slowly fell backwards. She looked quiet but brave.For a moment, I was sure she was going to fall on the floor. But before she hit the floor, the other students caught her, held her and finally helped her stand up.“Whoa!!” we were all surprised, and also encouraged. The girl was happy, too. Seeing this, Morrie smiled and said to the girl, “When you close your eyes, you can’t see anything. You won’t feel safe. When you are falling, the feeling gets stronger. You are not sure whether you will hit the cold, hard floor or the warm, soft hands of your friends. But if you are brave enough to trust them, they won’t let you down.”1．According to the passage, we can know Morrie is ___________.A．a student B．a teacher C．a manager D．a farmer2．The writer thought the girl was ___________.A．strong but shy B．active C．quiet but brave D．careless3．In the end, the girl ___________.A．got hurtB．fell on the floorC．was only helped by the writerD．was caught by the other students4．The students felt encouraged because ___________.A．they could stop the game finallyB．they wanted to do something elseC．they thought they had won the gameD．they felt that they could trust each otherC15、Cleverness is a gift while kindness is a choice. Gifts are easy---they’re given after all. Choice can be hard.I got the idea to start Amazon 16 years ago. I came across the fact that the Internet usage was growing at 2300 percent per year. I’d never seen or heard of anything that grew that fast, and the idea of building an online bookstore with millions of titles was very exci ting to me, I had just turned 30 years old , and I’d been married for a year, I told my wife MacKenzie that I wanted to quit my job and go to do this crazy thing that probably wouldn’t work since most start-ups don’t , and I wasn’t sure what to expect, MacKenzie told me I should go for it. As a young boy, I’d been a garage inventor, I’d always wanted to be an inventor, and she wanted me to follow my passion.I was working at a financial firm in New York City with a bunch of very smart people, and I had a brilliant boss that I much admired. I went to my boss and told him I wanted to start a company selling books on the Internet. He took me on a long walk in Central Park, listened carefully to me, and finally said, “That sounds like a really good idea, but it would be an even better idea for someone who didn’t already have a good job.” That logic made some sense to me, and he convinced me to think about it for 48 hours before making a final decision. Seen in that light, it really was a difficult choice, but ult imately, I decided I had to give it a shot. I didn’t think I’d regret trying and failing. And I suspected I would always be haunted by a decision to not try at all.After much consideration, I took the less safe path to follow my passion, and I’m proud o f that choice, For all of us, in the end, we are our choice.1．What inspired the author with the idea of building an online bookstore?A．His dream if being an inventor. B．The support of his wife.C．The greatly increasing usage of the Internet. D．Millions of exciting titles.2．Which of the following is closest in meaning to the underlined sentence?A．The decision to not try the online bookstore would terrify him.B．He would be very excited if he tried it out.C．He would be always having a doubt if he didn’t try.D．The idea of not trying would keep coming to his mind and disturb him.3．We can know from the passage that ______.A．the boss thought the idea was suitable for the authorB．the author wanted someone else to try the ideaC．the author might not regret if he failed the ideaD．the author might go back to his boss if he failed4．Which of the following would be the best title for the passage?A．Cleverness and Kindness B．The Starting of AmazonC．Following My Passion D．We Are What We ChooseD16、Part-time waiterBusy café needs honest and reliable waiter for weekends. Must enjoy working with ateam and dealing with customers. Call Serge at 95562476 after 6 pm.Delivery(投递，传送)personYoung, fit pers on required to deliver heavy boxes of books. Must have a driver’s licenseand be able to carry heavy boxes. We are looking for a trust worthy person for this position.Call Gary at 0556-805987 any time.Nanny wantedKind, hard-working nanny wanted to look after three friendly children. Must beexperienced and have childcare qualifications(资格). Please call Tess at 98674451 between 10am and 3 pm.Alice, Sonia and Bobby are looking at the employment section in their local newspaper. They are looking at advertisements for different types of jobs.“Why don’t you apply(申请)for the job as a waiter, Bobby?” said Alice.“Do you think I will have a chance?” Bobby replied.“Of course you will,” said Alice. “Y ou’re certainly honest and reliable(可靠的). Everyone trus ts you, and you’re never late.”“I think Sonia should apply for the job as a nanny,” Bobby said.“Yes, Sonia,” Alice said. “You always work so hard and you love children. Y ou would be perfect!”“I’d love to do it,” Sonia said, “but the advertisement says they want someone who is experienced. I don’t have anyexperience or qualifications. But what about you, Alice?“Yes, Alice,” Bobby said. “Which job would you like”?“I think I should become a career advisor!” said Alice.1．What does the underlined word “nanny” mean?A．保姆B．清洁工C．佣人2．The friends are looking at the employment section in the newspaper for _______.A．money B．chances C．jobs3．Who is supposed to be a good waiter?A．Alice B．Sonia C．Bobby4．If Bobby wanted the jobs at the café he could call Serge __________.A．anytime B．after 6 pm C．before 10 am5．Alice was the most active of the three in ________.A．giving suggestions B．applying for jobs C．reading newspapersE17、Fangfang: Good morning, Betty.Betty: Good morning, Fangfang.Fangfang: How are you this morning?Betty: Very well. Thank you.Fangfang: Do you know Rose, a new student in Grade 1?Betty: Yes, I do. We’re in the same class. I know her very well. She is from England. She speaks English and she can speak Chinese, too.Fangfang: Do you know her mother?Betty: Y es, I do. Mrs White is an English teacher in our school. She gives us English lessons every day. She loves Chinese students very much. She is a good teacher. We all love her.Fangfang: This term she is my teacher, too.Betty: That’s great. Look. It’s ten to eight. It’s time to have the first lesson. Let’s go to the classroom.Fangfang: OK.1．Rose is not .A．from England B．a foreign girlC．a student from China D．Betty’s classmate2．Betty’s English teacher .A．is R ose’s mother B．cannot speak ChineseC．only teaches Betty D．knows Fangfang well3．Fangfang .A．knows Rose very well B．knows Rose’s mother wellC．is Rose’s friend D．wants to know Rose’s family4．Which of the following sentences is right?A．Rose and Betty are in different classes.B．Rose’s family name is White.C．Betty, Rose and Fangfang are in the same class.D．Rose and Betty are sisters.5．The dialogue happens .A．at home B．in the morningC．in the classroom D．after schooF18、Have you collected anything since you were young? These people have！Angelika from Germany has collected more than 290,000 pens from 140 countries. She has collected pens for more than 10 years. The most expensive pen in her collection is made of gold! She also started a pen collecting club.Tony from the UK has collected Barbie dolls since he was a child. He has collected 1,125 dolls. He changes the dolls’ clothes once a month and often brushes their hair! He also collects dolls of Barbie’s boyfriend.Ron from the US likes collecting key rings(钥匙扣). He has collected 24,000 key rings since he was young. His key rings are all different — that means no two key rings are the same! He has been a world record holder for 13 years.Zhu Yue from China has collected erasers for more than 20 years. At the age of 11, she visited Shenzhen with her parents. For the first time Zhu Yue was fascinated(使着迷) by erasers after she saw them in a shop. Ever since then she has collected every new kind of erasers. Now she has collected 100,000 erasers.1．Who collects pens?A．Angelika. B．Tony. C．Ron. D．Zhu Yue.2．What does Tony collect?A．Pens. B．Dolls. C．Key rings. D．Erasers.3．How long has Ron been a world record holder?A．10 years. B．13 years. C．15 years. D．20 years.4．How many erasers has Zhu Yue collected?A．290,000. B．1,125. C．24,000. D．100,000.Ⅴ.书面表达19、假如你叫李平，是一位成绩优秀的学生。
2023年江苏省无锡市宜兴外国语学校中考数学总复习试卷(一)及答案解析
2023年江苏省无锡市宜兴外国语学校中考数学总复习试卷（一）一、单选题1．﹣2023的绝对值等于（）A．﹣2023B．2023C．±2023D．20222．如果点P（m，1+2m）在第三象限内，那么m的取值范围是（）A．﹣＜m＜0B．m＞﹣C．m＜0D．m＜﹣3．《孙子算经》中有一道题，原文是：“今有木，不知长短，引绳度之，余绳四尺五寸；屈绳量之，不足一尺．木长几何？”意思是：用一根绳子去量一根长木，绳子还剩余4.5尺；将绳子对折再量长木，长木还剩余1尺，木长多少尺？若设绳子长x尺，木长y尺，所列方程组正确的是（）A．B．C．D．4．在一个不透明的布袋内，有红球5个，黄球4个，白球1个，蓝球3个，它们除颜色外，大小、质地都相同．若随机从袋中摸取一个球，则摸中哪种球的概率最大（）A．红球B．黄球C．白球D．蓝球5．由5个相同的小正方体组成的几何体，如图所示，该几何体的左视图是（）A．B．C．D．6．如图，在△ABC中，AB＝AC，∠BAC＝24°，延长BC到点D，使CD＝AC，连接AD，则∠D的度数为（）A．39°B．40°C．49°D．51°7．如图，在△ABC中，AB＜AC，将△ABC以点A为中心逆时针旋转得到△ADE，点D在BC边上，DE交AC于点F．下列结论：①△AFE∽△DFC；②DA平分∠BDE；③∠CDF＝∠BAD，其中所有正确结论的序号是（）A．①②B．②③C．①③D．①②③8．如图，一次函数y1＝k1x+b与反比例函数y2＝的图象相交于A，B两点，点A的横坐标为2，点B的横坐标为﹣1，则不等式k1x+b＜的解集是（）A．﹣1＜x＜0或x＞2B．x＜﹣1或0＜x＜2C．x＜﹣1或x＞2D．﹣1＜x＜2二、填空题9．如果水位升高2m时水位变化记作+2m，那么水位下降2m时水位变化记作．10．要使式子有意义，则x的取值范围是．11．因式分解：a2+4a+4＝．12．已知一元二次方程x2+6x+m＝0有两个相等的实数根，则m的值为．13．如图，函数y＝kx+b（k＜0）的图象经过点P，则关于x的不等式kx+b＞3的解集为．14．如图是根据甲、乙两城市一周的日均气温绘制的折线统计图，根据统计图判断本周的日平均气温较稳定的城市是．（选填“甲”或“乙”）15．为了落实“双减”政策，东营市某学校对初中学生的课外作业时长进行了问卷调查，15名同学的作业时长统计如下表，则这组数据的众数是分钟．作业时长（单位：分钟）5060708090人数（单位：人）14622 16．一副三角板如图放置，∠A＝45°，∠E＝30°，DE∥AC，则∠1＝°．17．如图，在△ABC中，D是AC的中点，△ABC的角平分线AE交BD于点F，若BF：FD ＝3：1，AB+BE＝3，则△ABC的周长为．18．如图，在Rt△ABC中，∠C＝90°，若sin A＝，则cos B＝．三、解答题19．（1）计算：|﹣5|+（3﹣）0﹣2tan45°；（2）化简：÷（1+）．20．解不等式组：．21．在“双减”背景下，某区教育部门想了解该区A，B两所学校九年级各500名学生的课后书面作业时长情况，从这两所学校分别随机抽取50名九年级学生的课后书面作业时长数据（保留整数），整理分析过程如下：【收集数据】A学校50名九年级学生中，课后书面作业时长在70.5≤x＜80.5组的具体数据如下：74，72，72，73，74，75，75，75，75，75，75，76，76，76，77，77，78，80．【整理数据】不完整的两所学校的频数分布表如下，不完整的A学校频数分布直方图如图所示：组别50.5≤x＜60.560.5≤x＜70.570.5≤x＜80.580.5≤x＜90.590.5≤x＜100.5 A学校515x84B学校71012174【分析数据】两组数据的平均数、众数、中位数、方差如下表：特征数平均数众数中位数方差A学校7475y127.36B学校748573144.12根据以上信息，回答下列问题：（1）本次调查是调查（选填“抽样”或“全面”）；（2）统计表中，x＝，y＝；（3）补全频数分布直方图；（4）在这次调查中，课后书面作业时长波动较小的是学校（选填“A”或“B”）；（5）按规定，九年级学生每天课后书面作业时长不得超过90分钟，估计两所学校1000名学生中，能在90分钟内（包括90分钟）完成当日课后书面作业的学生共有人．22．如图，将下列3张扑克牌洗匀后数字朝下放在桌面上．（1）从中随机抽取1张，抽得扑克牌上的数字为3的概率为；（2）从中随机抽取2张，用列表或画树状图的方法，求抽得2张扑克牌的数字不同的概率．23．某班在庆祝中国共产主义青年团成立100周年活动中，给学生发放笔记本和钢笔作为纪念品．已知每本笔记本比每支钢笔多2元，用240元购买的笔记本数量与用200元购买的钢笔数量相同．（1）笔记本和钢笔的单价各多少元？（2）若给全班50名学生每人发放一本笔记本或一支钢笔作为本次活动的纪念品，要使购买纪念品的总费用不超过540元，最多可以购买多少本笔记本？24．如图，平行四边形ABCD中，点E、F在对角线BD上，且BE＝DF．求证：（1）△ABE≌△CDF；（2）四边形AECF是平行四边形．25．如图，△ABC是⊙O的内接三角形，∠ACB＝60°，AD经过圆心O交⊙O于点E，连接BD，∠ADB＝30°．（1）判断直线BD与⊙O的位置关系，并说明理由；（2）若AB＝4，求图中阴影部分的面积．26．【问题提出】如何用圆规和无刻度的直尺作一条直线或圆弧平分已知扇形的面积？【初步尝试】如图1，已知扇形OAB，请你用圆规和无刻度的直尺过圆心O作一条直线，使扇形的面积被这条直线平分；【问题联想】如图2，已知线段MN，请你用圆规和无刻度的直尺作一个以MN为斜边的等腰直角三角形MNP；【问题再解】如图3，已知扇形OAB，请你用圆规和无刻度的直尺作一条以点O为圆心的圆弧，使扇形的面积被这条圆弧平分．（友情提醒：以上作图均不写作法，但需保留作图痕迹）27．如图，抛物线y＝ax2+x+c经过B（3，0），D（﹣2，﹣）两点，与x轴的另一个交点为A，与y轴相交于点C．（1）求抛物线的解析式和点C的坐标；（2）若点M在直线BC上方的抛物线上运动（与点B，C不重合），求使△MBC面积最大时M点的坐标，并求最大面积；（请在图1中探索）（3）设点Q在y轴上，点P在抛物线上，要使以点A，B，P，Q为顶点的四边形是平行四边形，求所有满足条件的点P的坐标．（请在图2中探索）28．如图，在△ABC中，∠BAC＝90°，AB＝AC＝12，点P在边AB上，D、E分别为BC、PC的中点，连接DE．过点E作BC的垂线，与BC、AC分别交于F、G两点．连接DG，交PC于点H．（1）∠EDC的度数为°；（2）连接PG，求△APG的面积的最大值；（3）PE与DG存在怎样的位置关系与数量关系？请说明理由；（4）求的最大值．2023年江苏省无锡市宜兴外国语学校中考数学总复习试卷（一）参考答案与试题解析一、单选题1．【分析】利用绝对值的意义求解．【解答】解：因为负数的绝对值等于它的相反数；所以，﹣2023的绝对值等于2023．故选：B．【点评】本题考查绝对值的含义．即：正数的绝对值是它本身，负数的绝对值是它的相反数．2．【分析】根据点P在第三象限，即横纵坐标都是负数，据此即可列不等式组求得m的范围．【解答】解：根据题意得，解①得m＜0，解②得m＜．则不等式组的解集是m＜﹣．故选：D．【点评】本题考查了一元一次不等式组的解法，点的坐标特征．解一元一次不等式组时，一般先求出其中各不等式的解集，再求出这些解集的公共部分，解题规律是：同大取大；同小取小；大小小大中间找；大大小小找不到．3．【分析】根据“用绳子去量长木，绳子还剩余4.5尺；将绳子对折再量长木，长木还剩余1尺”，即可得出关于x，y的二元一次方程组，此题得解．【解答】解：∵用绳子去量长木，绳子还剩余4.5尺，∴x﹣y＝4.5；∵将绳子对折再量长木，长木还剩余1尺，∴x+1＝y．∴所列方程组为．故选：C．【点评】本题考查了由实际问题抽象出二元一次方程组，找准等量关系，正确列出二元一次方程组是解题的关键．4．【分析】根据概率的求法，因为红球的个数最多，所以摸到红球的概率最大．【解答】解：在一个不透明的布袋内，有红球5个，黄球4个，白球1个，蓝球3个，它们除颜色外，大小、质地都相同．若随机从袋中摸取一个球，因为红球的个数最多，所以摸到红球的概率最大，摸到红球的概率是：，故选：A．【点评】本题考查概率的求法：如果一个事件有n种可能，而且这些事件的可能性相同，其中事件A出现m种结果，那么事件A的概率P（A）＝．5．【分析】根据从左边看得到的图形是左视图，可得答案．【解答】解：从左边看，底层是三个小正方形，上层的中间是一个小正方形，故选：D．【点评】本题考查了简单组合体的三视图，从左边看得到的图形是左视图．6．【分析】利用等边对等角求得∠B＝∠ACB＝78°，然后利用三角形外角的性质求得答案即可．【解答】解：∵AB＝AC，∠BAC＝24°，∴∠B＝∠ACB＝78°．∵CD＝AC，∠ACB＝78°，∠ACB＝∠D+∠CAD，∴∠D＝∠CAD＝∠ACB＝39°．故选：A．【点评】本题考查了等腰三角形的性质，解题的关键是了解“等边对等角”的性质，难度不大．7．【分析】由旋转的性质得出∠BAC＝∠DAE，∠B＝∠ADE，AB＝AD，∠E＝∠C，进而得出∠B＝∠ADB，得出∠ADE＝∠ADB，得出DA平分∠BDE，可判断结论②符合题意；由∠AFE＝∠DFC，∠E＝∠C，得出△AFE∽△DFC，可判断结论①符合题意；由∠BAC ＝∠DAE，得出∠BAD＝∠FAE，由相似三角形的性质得出∠FAE＝∠CDF，进而得出∠BAD＝∠CDF，可判断结论③符合题意；即可得出答案．【解答】解：∵将△ABC以点A为中心逆时针旋转得到△ADE，∴∠BAC＝∠DAE，∠B＝∠ADE，AB＝AD，∠E＝∠C，∴∠B＝∠ADB，∴∠ADE＝∠ADB，∴DA平分∠BDE，∴②符合题意；∵∠AFE＝∠DFC，∠E＝∠C，∴△AFE∽△DFC，∴①符合题意；∵∠BAC＝∠DAE，∴∠BAC﹣∠DAC＝∠DAE﹣∠DAC，∴∠BAD＝∠FAE，∵△AFE∽△DFC，∴∠FAE＝∠CDF，∴∠BAD＝∠CDF，∴③符合题意；故选：D．【点评】本题考查了旋转的性质，相似三角形的判定与性质，掌握旋转的性质，相似三角形的判定方法是解决问题的关键．8．【分析】根据两函数图象的上下位置关系结合交点横坐标，即可得出不等式k1x+b＜的解集，此题得解．【解答】解：观察函数图象可知，当﹣1＜x＜0或x＞2时，一次函数y1＝k1x+b的图象在反比例函数y2＝的图象的下方，∴不等式k1x+b＜的解集为：﹣1＜x＜0或x＞2，故选：A．【点评】本题考查了反比例函数与一次函数的交点问题，根据两函数图象的上下位置关系找出不等式的解集是解题的关键．二、填空题9．【分析】根据正负数的意义求解．【解答】解：由题意，水位上升为正，下降为负，∴水位下降2m记作﹣2m．故答案为：﹣2m．【点评】本题考查正负数的意义，理解为正的量是求解本题的关键．10．【分析】根据，二次根式有意义，则被开方数是非负数，即可．【解答】解：∵式子有意义，∴x﹣5≥0，∴x≥5．故答案为：x≥5．【点评】本题考查了二次根式的知识，掌握二次根式有意义，则被开方数是非负数是关键．11．【分析】利用完全平方公式进行分解即可．【解答】解：原式＝（a+2）2，故答案为：（a+2）2．【点评】此题主要考查了公式法分解因式，关键是掌握完全平方公式：a2±2ab+b2＝（a ±b）2．12．【分析】根据方程x2+6x+m＝0有两个相等的实数根可知Δ＝0，求出k的值即可．【解答】解：∵一元二次方程x2+6x+m＝0有两个相等的实数根，∴Δ＝62﹣4m＝0，∴m＝9．故答案为：9．【点评】本题考查的是根的判别式，熟知一元二次方程ax2+bx+c＝0（a≠0）中，熟知当Δ＝0时，方程有两个相等的实数根是解题的关键．13．【分析】根据函数图象中的数据和一次函数的性质，可以写出等式kx+b＞3的解集．【解答】解：由图象可得，当x＝﹣1时，y＝3，该函数y随x的增大而减小，∴不等式kx+b＞3的解集为x＜﹣1，故答案为：x＜﹣1．【点评】本题考查一次函数与一元一次不等式，解答本题的关键是明确一次函数与一元一次不等式的关系，利用数形结合的思想解答．14．【分析】根据方差的性质：方差越大，数据波动越大；方差越小，数据波动越小．据此判断即可．【解答】解：由图知，乙的气温波动较小，故本周的日平均气温稳定的是乙城市．故答案为：乙．【点评】本题主要考查了方差的性质，掌握利用方差判断稳定性是解题的关键．15．【分析】根据众数的定义即可解决问题．【解答】解：∵70分钟出现了6次，它的次数最多，∴众数是70分钟．故答案为：70．【点评】本题考查了确定一组数据的众数的能力．求一组数据的众数的方法：找出频数最多的那个数据，若几个数据频数都是最多且相同，此时众数就是这多个数据．16．【分析】利用平行和对顶角相等求出∠DOA，根据三角形内角和求出∠D，根据外角性质求出∠1．【解答】解：如图，设DE交AB于O点，∵DE∥AC，∴∠A＝∠BOE＝45°，∴∠DOA＝∠BOE＝45°，∠D＝90°﹣∠E＝90°﹣30°＝60°，∠1＝∠D+∠DOA＝60°+45°＝105°．故答案为：105．【点评】本题考查平行线的性质、对顶角和三角形内角和定理，熟练运用平行线的性质是关键．17．【分析】如图，过点F作FM⊥AB于点M，FN⊥AC于点N，过点D作DT∥AE交BC 于点T．证明AB＝3AD，设AD＝CD＝a，证明ET＝CT，设ET＝CT＝b，则BE＝3b，求出a+b，可得结论．【解答】解：如图，过点F作FM⊥AB于点M，FN⊥AC于点N，过点D作DT∥AE交BC于点T．∵AE平分∠BAC，FM⊥AB，FN⊥AC，∴FM＝FN，∴＝＝＝3，∴AB＝3AD，设AD＝DC＝a，则AB＝3a，∵AD＝DC，DT∥AE，∴ET＝CT，∴＝＝3，设ET＝CT＝b，则BE＝3b，∵AB+BE＝3，∴3a+3b＝3，∴a+b＝，∴△ABC的周长＝AB+AC+BC＝5a+5b＝5，故答案为：5．【点评】本题考查平行线分线段成比例定理，角平分线的性质定理等知识，解题的关键是学会利用参数解决问题，属于中考填空题中的压轴题．18．【分析】根据三角函数的定义即可得到cos B＝sin A＝．【解答】解：在Rt△ABC中，∠C＝90°，∵sin A＝＝，∴cos B＝＝．故答案为：．【点评】本题考查了三角函数的定义，由定义可推出互余两角的三角函数的关系：若∠A+∠B＝90°，则sin A＝cos B，cos A＝sin B．熟知相关定义是解题关键．三、解答题19．【分析】（1）先计算零次幂、代入特殊角的函数值，再化简绝对值，最后算加法；（2）先通分计算括号里面的，再把除法转化为乘法．【解答】解：（1）原式＝5+1﹣2×1＝5+1﹣2＝4；（2）原式＝÷＝×＝．【点评】本题考查了实数和分式的运算，掌握零次幂、绝对值的意义及分式的运算法则是解决本题的关键．20．【分析】分别求出每一个不等式的解集，再根据口诀：同大取大、同小取小、大小小大中间找、大大小小无解了确定不等式组的解集．【解答】解：，解不等式①，得x≥1，解不等式②，得x＜2，故原不等式组的解集为：1≤x＜2．【点评】本题考查的是解一元一次不等式组，正确求出每一个不等式解集是基础，熟知“同大取大；同小取小；大小小大中间找；大大小小找不到”的原则是解答此题的关键．21．【分析】（1）根据题意知本次调查是抽样调查；（2）用总数减去其它组的频数求x，利用求中位数的方法求y；（3）根据A学校的频数分布表补全频数分布直方图；（4）根据方差即可判断；（5）分别求出在90分钟内（包括90分钟）完成当日课后书面作业的学生即可．【解答】解：（1）根据题意知本次调查是抽样调查；故答案为：抽样．（2）x＝50﹣5﹣15﹣8﹣4＝18，中位数为第25个和第26个平均数＝74.5，故答案为：18，74.5．（3）补全频数分布直方图：（4）因为A学校的方差为127.36，B学校的方差为144.12，127.36＜144.12，∴课后书面作业时长波动较小的是A学校，故答案为：A．（5）500×+500×＝920（人）．故答案为：920．【点评】本题主要考查了统计表，众数，中位数以及方差的综合运用，利用统计图获取信息时，必须认真观察、分析、研究统计图，才能作出正确的判断和解决问题．22．【分析】（1）直接由概率公式求解即可；（2）画树状图，共有6种等可能的结果，其中抽得2张扑克牌的数字不同的结果有4种，再由概率公式求解即可．【解答】解：（1）从中随机抽取1张，抽得扑克牌上的数字为3的概率为，故答案为：；（2）画树状图如下：共有6种等可能的结果，其中抽得2张扑克牌的数字不同的结果有4种，∴抽得2张扑克牌的数字不同的概率为＝．【点评】此题考查的是用树状图法求概率．树状图法可以不重复不遗漏的列出所有可能的结果，适合两步或两步以上完成的事件；解题时要注意此题是放回试验还是不放回试验．用到的知识点为：概率＝所求情况数与总情况数之比．23．【分析】（1）可设每支钢笔x元，则每本笔记本（x+2）元，根据其数量相同，可列得方程，解方程即可；（2）可设购买y本笔记本，则购买钢笔（50﹣y）支，根据总费用不超过540元，可列一元一次不等式，解不等式即可．【解答】解：（1）设每支钢笔x元，依题意得：，解得：x＝10，经检验：x＝10是原方程的解，故笔记本的单价为：10+2＝12（元），答：笔记本每本12元，钢笔每支10元；（2）设购买y本笔记本，则购买钢笔（50﹣y）支，依题意得：12y+10（50﹣y）≤540，解得：y≤20，故最多购买笔记本20本．【点评】本题主要考查一元一次不等式的应用，分式方程的应用，解答的关键是理解清楚题意，找到等量关系．24．【分析】（1）根据平行四边形平行四边形的性质得到AB∥CD AB＝CD，从而得到∠ABE＝∠CDF，然后利用SAS证得两三角形全等即可；（2）利用（1）中的全等三角形的对应角相等推知∠AEB＝∠DFC，则等角的补角相等，即∠AEF＝∠CFE，所以AE∥FC．根据“有一组对边平行且相等”证得结论．【解答】证明（1）∵四边形ABCD是平行四边形，∴AB∥CD AB＝CD，∴∠ABE＝∠CDF，∵BE＝DF，∴△ABE≌△CDF（SAS）；（2）证明：∵由（1）知，△ABE≌△CDF，∴AE＝CF，∠AEB＝∠DFC，∴∠AEF＝∠CFE，∴AE∥FC，∴四边形AECF是平行四边形．【点评】本题考查了全等三角形的判定与性质，平行四边形的判定与性质．平行四边形的判定方法共有五种，应用时要认真领会它们之间的联系与区别，同时要根据条件合理、灵活地选择方法．25．【分析】（1）连接BE，根据圆周角定理得到∠AEB＝∠C＝60°，连接OB，根据等边三角形的性质得到∠BOD＝60°，根据切线的判定定理即可得到结论；（2）根据圆周角定理得到∠ABE＝90°，解直角三角形得到OB，根据扇形和三角形的面积公式即可得到结论．【解答】解：（1）直线BD与⊙O相切，理由：连接BE，∵∠ACB＝60°，∴∠AEB＝∠C＝60°，连接OB，∵OB＝OE，∴△OBE是等边三角形，∴∠BOD＝60°，∵∠ADB＝30°，∴∠OBD＝180°﹣60°﹣30°＝90°，∴OB⊥BD，∵OB是⊙O的半径，∴直线BD与⊙O相切；（2）∵AE是⊙O的直径，∴∠ABE＝90°，∵AB＝4，∴sin∠AEB＝sin60°＝＝＝，∴AE＝8，∴OB＝4，∴BD＝OB＝4，﹣S扇形BOE＝4×﹣＝8﹣．∴图中阴影部分的面积＝S△OBD【点评】本题考查了直线与圆的位置关系，等边三角形的判定和性质，解直角三角形，扇形面积的计算，正确地作出辅助线是解题的关键．26．【分析】【初步尝试】如图1，作∠AOB的角平分线OP即可；【问题联想】如图2，作线段MN的垂直平分线RT，垂足为R，在射线RT上截取RP＝RM，连接MP，NP，三角形MNP即为所求；【问题再解】方法一：构造等腰直角三角形OBE，作BC⊥OE，以O为圆心，OC为半径画弧交OB于点D，交OA于点F，弧DF即为所求．方法二：作OB的中垂线交OB 于点C，然后以C为圆心，CB长为半径画弧交OB中垂线于点D，再以O为圆心，OD 长为半径画弧分别交OA、OB于点E、F．则弧EF即为所求．【解答】解：【初步尝试】如图1，直线OP即为所求；【问题联想】如图2，三角形MNP即为所求；【问题再解】如图3中，即为所求．【点评】本题考查作图﹣复杂作图，等腰直角三角形的性质，扇形的面积等知识，解题的关键是理解题意，灵活运用所学知识解决问题．27．【分析】（1）用待定系数法求函数的解析式即可；（2）作直线BC，过M点作MN∥y轴交BC于点N，求出直线BC的解析式，设M（m，﹣m2+m+），则N（m，﹣m+），可得S△MBC＝•MN•OB＝﹣（m﹣）2+，再求解即可；（3）设Q（0，t），P（m，﹣m2+m+），分三种情况讨论：①当AB为平行四边形的对角线时；②当AQ为平行四边形的对角线时；③当AP为平行四边形的对角线时；根据平行四边形的对角线互相平分，利用中点坐标公式求解即可．【解答】解：（1）将B（3，0），D（﹣2，﹣）代入y＝ax2+x+c，∴，解得，∴y＝﹣x2+x+，令x＝0，则y＝，∴C（0，）；（2）作直线BC，过M点作MN∥y轴交BC于点N，设直线BC的解析式为y＝kx+b，∴，解得，∴y＝﹣x+设M（m，﹣m2+m+），则N（m，﹣m+），∴MN＝﹣m2+m，＝•MN•OB＝﹣（m﹣）2+，∴S△MBC当m＝时，△MBC的面积有最大值，此时M（，）；（3）令y＝0，则﹣x2+x+＝0，解得x＝3或x＝﹣1，∴A（﹣1，0），设Q（0，t），P（m，﹣m2+m+），①当AB为平行四边形的对角线时，m＝3﹣1＝2，∴P（2，）；②当AQ为平行四边形的对角线时，3+m＝﹣1，解得m＝﹣4，∴P（﹣4，﹣）；③当AP为平行四边形的对角线时，m﹣1＝3，解得m＝4，∴P（4，﹣）；综上所述：P点坐标为（2，）或（﹣4，﹣）或（4，﹣）．【点评】本题考查二次函数的图象及性质，熟练掌握二次函数的图象及性质，平行四边形的性质，分类讨论是解题的关键．28．【分析】（1）由等腰三角形的性质可得∠ABC＝∠ACB＝45°，由三角形中位线定理可得DE∥AB，可求解；（2）设AP＝x，由等腰直角三角形的性质和三角形中位线定理可求AG的长，由三角形面积公式和二次函数的性质可求解；（3）由“SAS”可证△CEF≌△GDF，可得CE＝DG，∠DGF＝∠FCE，可求解；（4）利用勾股定理和相似三角形的性质分别求出CH，CE的值，即可求解．【解答】解：（1）∵∠BAC＝90°，AB＝AC＝12，∴∠ABC＝∠ACB＝45°，BC＝12，∵D、E分别为BC、PC的中点，∴DE∥AB，DE＝BP，∴∠EDC＝∠ABC＝45°，故答案为：45；（2）设AP＝x，则BP＝12﹣x，∵DE＝BP，∴DE＝6﹣，∵GF⊥BC，∠EDC＝45°，∴∠EDC＝∠DEF＝45°，∴DF＝EF＝DE＝3﹣x，∵点D是BC的中点，∴BD＝CD＝6，∴CF＝3+x，∵GF⊥BC，∠ACB＝45°，∴∠ACB＝∠CGF＝45°，∴GF＝FC，∴GC＝FC＝6+，∴AG＝6﹣，＝×AP×AG＝×x×（6﹣）＝﹣（x﹣6）2+9，∴S△APG∴当x＝6时，△APG的面积的最大值为9；（3）PE⊥DG，DG＝PE，理由如下：∵DF＝EF，∠CFE＝∠GFD＝90°，CF＝GF，∴△CEF≌△GDF（SAS），∴CE＝DG，∠DGF＝∠FCE，∵∠DGF+∠GDF＝90°，∴∠GDF+∠DCE＝90°，∴∠DHC＝90°，∴DG⊥PE，∵点E是PC的中点，∴PE＝EC，∴DG＝PE；（4）方法一、∵CF＝3+x＝GF，EF＝3﹣x，∴EC＝＝，∵AP＝x，AC＝12，∴PC＝＝，∵∠ACP＝∠GCH，∠A＝90°＝∠GHC，∴△APC∽△HGC，∴＝，∴＝，∴GH＝，CH＝，∴＝＝12×＝≤＝＝＝，∴的最大值为．方法二、如图，过点H作MH∥AB，交BC于M，∵∠DHC＝90°，∴点H以CD为直径的⊙O上，连接OH，并延长交AB于N，∵MH∥AB，∴，∵OH，OB是定长，∴ON的取最小值时，OM有最大值，∴当ON⊥AB时，OM有最大值，此时MH⊥OH，CM有最大值，∵DE∥AB，∴MH∥DE，∴，∴当CM有最大值时，有最大值，∵AB∥MH，∴∠HMO＝∠B＝45°，∵MH⊥OH，∴∠HMO＝∠HOM＝45°，∴MH＝HO，∴MO＝HO，∵HO＝CO＝DO，∴MO＝CO，CD＝2CO，∴CM＝（+1）CO，∴＝＝．【点评】本题是相似形综合题，考查了相似三角形的判定和性质，全等三角形的判定和性质，勾股定理，等腰直角三角形的性质，三角形中位线定理等知识，灵活运用这些性质解决问题是解题的关键。
宜兴外国语学校2024年中考联考英语试卷含答案
宜兴外国语学校2024年中考联考英语试卷含答案请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。
写在试题卷、草稿纸上均无效。
2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。
Ⅰ. 单项选择1、—Are you coming to Daming’s birthday party?—He’s my best friend.A．What a pity! B．Never mind. C．Much better! D．Y ou bet!2、Miss Smith in our school since five years ago.A．teaches B．taught C．has taught D．is teaching3、—May I hand in my test paper and leave now?—No, you _______. Y ou aren’t allowed to leave until the bell rings.A．needn’t B．may not C．mustn’t D．shouldn’t4、The police saved three lives in the accident.A．child B．child's C．children D．children’s5、There are ________ people in the supermarket. It's so crowded.A．hundred B．hundreds C．hundred of D．hundreds of6、There is no need to push the kids too hard, ,you hate to see them stressed out.A．After all B．Over again C．In all D．Above all7、—How do you like the new film The Wandering Earth (流浪地球)？—. Besides, we can learn a lot about space science.A．I can’t s tand it B．Pretty good C．It’s terrible D．It’s boring8、--- Why didn’t you cry for help when you were robbed?--- If I opened my mouth at that time, they might find my four gold teeth. That would be _____!A．bad B．much worse C．worst D．the worst9、—Jim’s neve r been late for school, __________?— __________. He always gets to school on time.A．hasn’t he; Yes B．has he; No C．has he; Yes D．is he; No10、--May I go out and play this afternoon?--No, you _____. Work comes firstA．needn’t B．mustn’t C．w on’t D．don’tⅡ. 完形填空11、Bing Xin, one of the most popular and famous writers of the 20th century Chinese literature(文学). She was born1 1900 in Fujian Province. She2 the Chinese classical books and began writing traditional Chinese 3when she was only a child. Her first piece of writing 4 in 1919.Bing Xin’s works were many. She wrote novels, poems and so on, 5 the most famous works were her works for children. She loved children so much and wrote many 6 poems for them. We found that her best works Letters to Younger Readers can’t be forgotten 7 .Bing Xin was an important person in the early history of woman literature in China, too. Many of her works were about 8 problem. She believed mother’s love is the greatest love in the world. She thought mothers 9 an important role in our 10 and society.The great woman died at the age of 99, leaving her works lighting our hearts.1．A．on B．in C．at2．A．studied B．worked C．found3．A．movies B．songs C．stories4．A．came out B．came true C．came over5．A．so B．or C．but6．A．serious and boring B．gentle and wise C．meaningless and scary7．A．early B．slowly C．easily8．A．children’s B．men’s C．women’s9．A．played B．took C．brought10．A．country B．family C．schoolⅢ. 语法填空12、There is a special kind of hotel in Quebec, Canada. It has a bar, a church, a shop and a small movie theater.These things are not unusual. But this hotel is only open from J1．to March every year. Why? Because it is 2．(make)of ice and snow! When the weather 3．(get) warm, the hotel melts (融化) and closes. Every winter, the hotel owners 4．(build) the hotel again.Everything in the Ice Hotel is made of ice and snow. All the furniture, such as the 5．( table) and chairs, is made of ice, even the beds are made of ice! So people use special sleeping bags on the ice beds. Inside the Ice Hotel, the temperature is about 3 degrees blew zero.When people sleep, the sleeping bags keep them w6．. In the morning, they can have a hot breakfast. After breakfast, people can enjoy winter activities. They can go skiing or ice fishing, or they can go s 7．in the dining room. A8．the end of the day, people can relax at the bar. They can have drinks in glasses made of ice. Many people e 9．the Ice Hotel every year, but they can only enjoy it for a short time b 10．it melts again.Ⅳ. 阅读理解A13、There’s much to see under the sea, but you need to remember that light behaves differently in water than in air. The objects appear closer to you than they exactly are. You might find yourself reaching out to touch something and completely missing it.Objects under water will appear larger than they would on the surface, too. Be careful not to tell any stories about the big fish that got awa y. The fish might not be so big after all! It’s just because sometimes things can seem to be as much as about 33 percent bigger in water!What’s more, in deeper water, colors just don’t seem as bright. In fact, it looks as if some colors are missing. Remem ber the color of an object results from the wavelengths(波长) of light that are reflected from its surface. And light is taken in as it moves down through the water.Swimmers wear wet suits to keep warm underwater. Let’s take a bright red, yellow, and blue w et suit as an example. These colors are hard to miss on the surface of water. Watch carefully the changes in color as you descend in water. The red part now looks almost black because the red light wavelengths, the longest among these three colors, are missing. As you go down deeper, the same thing will happen to the yellow part and in the end to the blue part. Even at a place of about 6 to 9 meters underwater, you will look terrible, like a ghost(鬼怪)! And you have to wait for your return to the surface to enjoy the bright colors again.Do you have a better understanding of the behavior of the light underwater? We need to be careful about the objects around us and explore(探索) their mysteries by ourselves.1．You miss the object underwater when you want to touch it because___________.A．your eyesight is quite poorB．your are not quick enoughC．it is not as close as it seemsD．it disappears very quickly2．The example of the wet suit is used to explain the change of __of an object underwater in paragraph 4.A．the size B．the color C．the position D．the weight3．The underlined word “descend” probably means _________ in paragraph 4?A．move up B．move on waterC．stop breathing for a while D．go down4．Which of the following is true according to the passage?A．A four-meter-long fish looks three meters long underwater. B．Much water will be taken in by the swimmer deep in the water. C．The wavelengths of red light are longer than those of the blue light. D．Y ou will see a ghost if you go as deep as 6 to 9 meters into the sea. 5．Which of the following would be the best title of the passage? A．The Standard of Color UnderwaterB．The Direction of Light UnderwaterC．The Beauty of Color UnderwaterD．The Behavior of Light UnderwaterB1．_______ is from the United States of America.A．Boerge Ousland B．Richard E. Byrd C．Roald Amundsen D．James Cook2．The underlined word “opportunity” means “______”.A．chance B．advice C．guide D．plan 3．______ is the first woman to get to Antarctica.A．Roald Amundsen B．Boerge Ousland C．Caroline Mikkelsen D．Adrien de Gerlache 4．Which is WRONG according to the passage?A．There were more than 60 space stations in Antarctica in the 1950s B．Roald Amundsen was the first to fly over the South Pole. C．Americans took many photos in the Antarctic to make a map. D．Adrien de Gerlache was the first to spend an Antarctic winter.5．The main idea of the passage is _____.A．how to get to the AntarcticB．the way of the exploration of AntarcticaC．the people who got to the AntarcticD．the history of the exploration of AntarcticaC15、阅读下面四篇材料，从每题所给的A、B、C、D四个选项中选出最佳选项。
宜兴外国语学校初三期末综合复习卷四
CD E F A B宜兴外国语学校初三期末综合复习卷（四）班级 姓名一、选择题1．已知关于x 的一元二次方程x 2﹣3x+2=0两实数根为x 1、x 2，则x 1+x 2=（ ）A ． 3B ． ﹣3C ． 1D ． ﹣ 1 2．若=，则的值为（ ）A ． B．C ．D ．3．若二次函数y=（a+1）x 2+3x+a 2﹣1的图象经过原点，则a 的值必为（ ）A ． 1或﹣1B ． 1C ． ﹣1D ． 04．已知圆锥的底面的半径为3cm ，高为4cm ，则它的侧面积为（ ）A ． 15πcm 2B ． 16πcm 2C ． 19πcm 2D ． 24πcm 25．下列语句中正确的是（ ）A ． 长度相等的两条弧是等弧B ． 平分弦的直径垂直于弦C ． 相等的圆心角所对的弧相等D ． 经过圆心的每一条直线都是圆的对称轴6．某洗衣机经过连续两次降价，每台售价由原来的1500元降到了990元．设平均每次降价的百分率为x ，则下列方程中正确的是（ ）A ．1500（1+x ）2=990B ．990（1+x ）2=1500C ．1500（1﹣x ）2=990D ．990（1﹣x ）2=15007.现定义运算“★”，对于任意实数a 、b ，都有a ★b =23a a b -+，如：3★5=32-3×3+5，若x★2=6，则实数x 的值是( )A ．4-或1-B ．4或1-C ．4或2-D ．-4或28．如图，点C 、D 是以线段AB 为公共弦的两条圆弧的中点，AB=4，点E 、F 分别是线段CD ，AB 上的动点，设AF=x ， AE 2－FE 2=y ，则能表示y 与x 的函数关系的图象是（ ）二、填空题9．在一个不透明的口袋中装有若干个只有颜色不同的球，如果已知袋中只有4个红球，且摸出红球的概率为，那么袋中的球共有 个．10．若A （﹣4，y 1），B （﹣1，y 2），C （1，y 3）为二次函数y=x 2+4x ﹣5的图象上的三点，则y 1，y 2，y 3的大小关系是 ．11．已知一组数据1，2，x ，5的平均数是4，则x 是 ．这组数据的方差是 ．12．关于x 的一元二次方程kx 2﹣x+1=0有两个不相等的实数根，则k 的取值范围是 ．13．圆弧的半径为3，弧所对的圆心角为60°，则该弧的长度为 ．14．如图，⊙O 是△ABC 的外接圆，已知∠OAB=40°，则∠ACB 为 ．15.如图，有一圆锥形粮堆，其主视图是边长为6ｍ的正三角形ABC ，母线AC 的中点P 处有一老鼠正在偷吃粮食，小猫从B 处沿圆锥表面去偷袭老鼠，则小猫经过的最短路程是 ｍ．（结果不取近似数）16．如图，线段AB 的长为2，C 为AB 上一个动点，分别以AC 、BC 为斜边在AB 的同侧作两个等腰直角三角形△ACD 和△BCE ，那么DE 长的最小值是 ．17.如图，有一圆形展厅，在其圆形边缘上的点A 处安装了一台监视器，它的监控角度是65．为了监控整个展厅，最少需在圆形边缘上共安装．．．这样的监视器 台．18.如图是一块学生用直角三角板，其中∠A ′=30°，三角板的边框为透明塑料制成（内、外直角三角形对应边互相平行且三处所示宽度相等）．将直径为4cm 的⊙O 移向三角板，三角板的内△ABC 的斜边AB 恰好等于⊙O 的直径，它的外△A ′B ′C ′的直角边A ′C ′恰好与⊙O 相切（如图2），则边B ′C ′的长为 cm ．三、解答题19．解方程：（1）x 2=2x （2）2x 2﹣4x ﹣1=0 （3）y y y 22)1(3-=-20．在一次数学活动中，黑板上画着如图所示的图形，活动前老师在准备的四张纸片上分别写有如下四个等式中的一个等式：①AB=DC ；②∠ABE=∠DCE ；③AE=DE ；④∠A=∠D小明同学闭上眼睛从四张纸片中随机抽取一张，再从剩下的纸片中随机抽取另一张．请结合图形解答下列两个问题：（1）当抽得①和②时，用①，②作为条件能判定△BEC 是等腰三角形吗？说说你的理由；（2）请你用树状图或表格表示抽取两张纸片上的等式所有可能出现的结果（用序号表示），并求以已经抽取的两张纸片上的等式为条件，使△BEC 不能构成等腰三角形的概率．21.工人师傅为检测该厂生产的一种铁球的大小是否符合要求，设计了一个如图所示的工件槽，其中工件槽的两个底角均为90°，第20题尺寸如图（单位：cm）．将形状规则的铁球放入槽内时，若同时具有图所示的A，B，E三个接触点，该球的大小就符合要求．右图是过球心O及A，B，E三点的截面示意图，已知⊙O的直径就是铁球的直径，AB是⊙O的弦，CD切⊙O于点E，AC⊥CD，BD⊥CD．请你结合图中的数据，计算这种铁球的直径．22. 某商业公司为指导某种应季商品的生产和销售，对三月份至七月份该商品的售价和成本进行了调研，结果如下：每件商品的售价M（元）与时间t（月）的关系可用一条线段上的点来表示（如图1），每件商品的成本Q（元）与时间t（月）的关系可用一条抛物线的一部分上的点来表示（如图2）．（说明：图1，图2中的每个实心黑点所对应的纵坐标分别指相应月份的售价和成本．）请你根据图象提供的信息回答：（1）每件商品在3月份出售时的利润（利润=售价-成本）是多少元？（2）求图2中表示的每件商品的成本Q（元）与时间t（月）之间的函数关系式；（3）你能求出三月份至七月份每件商品的利润W（元）与时间t（月）之间的函数关系式吗？若该公司共有此种商品30000件，准备在一个月内全部售完，请你计算一下至少可获利多少元？23．如图，在Rt△ABC中，∠ACB=90°，以斜边AB上一点O为圆心，OB为半径作⊙O，交AC于点E，交AB于点D，且∠BEC=∠BDE．（1）求证：AC是⊙O的切线；（2）连接OC交BE于点F，若，求的值．24．如图，矩形OABC的顶点A（2，0）、C（0，2）．将矩形OABC绕点O逆时针旋转30°．得矩形OEFG，线段GE、FO相交于点H，平行于y轴的直线MN分别交线段GF、GH、GO和x轴于点M、P、N、D，连结MH．（1）若抛物线l：y=ax2+bx+c经过G、O、E三点，求它的解析式；（2）如果四边形OHMN为平行四边形，求点D的坐标；（3）在（1）（2）的条件下，直线MN与抛物线l交于点R，动点Q在抛物线l上且在R、E两点之间（不含点R、E）运动，设△PQH的面积为s，当时，确定点Q的横坐标的取值范围．。
江苏宜兴外国语学校2024届中考语文考前最后一卷含解析
江苏宜兴外国语学校2024届中考语文考前最后一卷注意事项:1．答题前，考生先将自己的姓名、准考证号码填写清楚，将条形码准确粘贴在条形码区域内。
2．答题时请按要求用笔。
3．请按照题号顺序在答题卡各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试卷上答题无效。
4．作图可先使用铅笔画出，确定后必须用黑色字迹的签字笔描黑。
5．保持卡面清洁，不要折暴、不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
一、积累与运用1．将下列句子组成语意连贯的一段话，语序排列最恰当的一项是( )。
①襄阳古城以一座“城”的方式，传承、承载了汉江流域的历史文脉。
②襄阳是国务院确立的第二批国家历史文化名城。
③因此古城文化是襄阳历史文化的核心。
④襄阳古城则是这座历史文化名城的核心载体。
⑤打造一个具有浓厚文化底蕴的宜居、宜业、宜游的城市高质量发展示范区。
⑥未来襄阳古城将以遗产保护为前提。
A．⑤②③④①⑥B．②④①③⑥⑤C．③②④⑤⑥①D．①③⑥⑤④②2．下列句中加点的成语使用恰当的一项是A．娱乐圈的“阴阳合同”事件遭到曝光，某些明星偷逃税款的手段让人叹为观止．．．．。
B．纯净的自然山水、古朴的建筑、青石的街道，小镇上沿途风景络绎不绝．．．．。
C．如何在鳞次栉比．．．．的书架上选择优秀的读物，这是每一个热爱阅读的人必须面对的问题。
D．中国改革开放 40 年取得了让世界刮目相看．．．．的成就！3．下列加点词语运用不正确的一项是（）当今的艺术仿佛．．．．的灯光，3D电影院皇上下左右晃动的座椅，．．在兴致勃勃地享受一场技术的盛宴，舞台上扑朔迷离魔术师利用光学仪器制造的视觉误差等。
从声光电的全面介入到各种闻所未闻的机械设备，技术的发展速度令人吃惊。
然而，有多少人思考过这个问题：技术到底赋予．．．．的人心——技术增．．了艺术什么？关于世界，关于历史，关于神秘莫测添了哪些发现？在许多贪大求奢的文化工程、文艺演出中，我们不难看到技术崇拜正在形成。
2022学年江苏省宜兴外国语学校中考联考化学试卷(含解析)
2022学年中考化学模似试卷注意事项：1．答题前，考生先将自己的姓名、准考证号填写清楚，将条形码准确粘贴在考生信息条形码粘贴区。
2．选择题必须使用2B铅笔填涂；非选择题必须使用0．5毫米黑色字迹的签字笔书写，字体工整、笔迹清楚。
3．请按照题号顺序在各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。
4．保持卡面清洁，不要折叠，不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
一、单选题（本大题共10小题，共20分）1．空气中含量较多且能在焊接金属时作保护气的是（）A．氧气B．氮气C．水蒸气D．二氧化碳2．化学兴趣小组测量某无色透明溶液的pH值测量结果为pH=2，则下列记录可能正确的是（）A．Fe3+、H+、NO3-、Cl-B．K+、MnO4-、NH4+、OH -C．Ag+、H+、Cl-、SO42-D．Ba2+、H+、NO3-、Cl-3．某气体由氢气、一氧化碳、甲烷中的一种或几种组成，点燃气体后，在火焰上方罩一冷面干燥的烧杯，烧杯内壁出现水雾；把烧杯迅速倒转过来，注入少量澄清石灰水，振荡，石灰水变浑浊．下列对气体组成的推断正确的是（）A．可能只有氢气一种气体B．可能只有甲烷一种气体C．三种气体一定都存在D．一定是氢气和一氧化碳的混合气体4．木炭还原氧化铜和一氧化碳还原氧化铜的实验装置如下图所示。
下列说法正确的是A．木炭、一氧化碳与氧化铜的反应都属于置换反应B．两个实验的相关反应中，只有碳元素的化合价发生改变C．两个实验中都可观察到红色固体变黑D．两个实验的操作中都要防止液体倒吸5．如图变化中，不属于化学变化的是A．葡萄酿成酒B．铁矿石冶炼成钢铁C．海水晒盐D．石油合成塑料和橡胶6．根据实践经验，你认为下列课外实验不能成功的是A．用冷碟子、蜡烛制取少量炭黑B．用具有网状叶脉的树叶、浓硫酸等制作叶脉书签C．用空塑料瓶、蓬松棉、纱布、活性炭等自制简易净水器D．用酒精溶液浸泡捣烂的紫甘蓝叶片自制酸碱指示剂7．下列物质的性质与应用对应关系正确的是（）A．一氧化碳有可燃性，可用于工业冶炼金属B．氧气能支持燃烧，可做发射火箭的助燃剂C．铝能与盐酸反应，可在铁栏杆的表面涂铝粉防止生锈D．氩气通电时能发光，可用作不锈钢焊接的保护气8．在25℃时，向不饱和氯化钾溶液加入少量氯化钾固体至溶液刚好饱和，在这一过程中，下列各量：①溶液中水的质量，②溶液中溶质的质量，③溶液中氯化钾的质量分数，④ 25℃时氯化钾的溶解度，⑤氯化钾溶液的质量。
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宜兴外国语学校简答题专题
1．晚上在家学习时，邻居放音乐的声音很大，干扰了你的学习. 为保障你的学习，请利用所学的物理知识，至少写出两种不同途径下减小干扰的方法.
2．一部科幻电影中有这样的场面：一艘飞船在太空中遇险，另一艘飞船前去营救途中，驾驶员听到遇险飞船的巨大爆炸声，然后看到爆炸的火光，请你给导演指出这个场景中的两处科学性错误．
4、“神州六飞船”是由我国自行研制的长征火箭发射升空的。
当火箭在太空中高速飞行时，它的头部与空气摩擦，温度可升至几千摄氏度，为了防止烧坏火箭内部搭载的仪器和设备，常在火箭的头部涂有一层特殊的材料，为什么？
5、盛满水的铝壶放在燃气炉上加热不会被烧坏，但没有盛水的空铝壶放在燃气炉上加热就会被烧坏，严重时还会引发火灾．这是什么原因?
6、．如图是一种常见的打火机，可以看见里面装有液体
.阿强同学一天玩打
火机时，把阀门松动了，一会儿工夫，虽然没有把液体倒出来，却发现液
体不见了，但阀门周围却结了一层白色的东西，用手摸一摸打火机，发现打
火机非常冰冷.试用学过的“物态变化”的相关知识解释上述发生的现象.
7.在卫生间里洗过热水澡后，室内的玻璃镜面变得模糊不清，过了一段时间，镜面又变得清晰起来。
请指出镜面上发生的这两种现象的物态变化， 并说明是吸热还是放热。
8．据《今日天气》报道：青岛市区今天白天：多云转阴，早晨有雾，南风4—5级，最高气温12度；夜间：阴有小雨，南风5—6级，相对温度60％—95%。
由于早晨有雾，夜间下雨路滑，气象条件对车辆的正常行驶影响较大，请司机朋友们注意行车安全。
（1）．找出文中的一处物理方面的错误并改正。
错误 改正
（2）．上文中涉及到物态变化的知识，请找出1条原文词句，并指出发生了何种物态变化。
9.夏天天气很热是，空调打开的房间里的玻璃上会出现一层小水珠，请说出为什么会出现这些小水珠，小水珠出现在玻璃的内表面还是外表面？
10、物理之美无处不在，李白的《早发白帝城》千古名词：“朝辞白帝彩云间，千里江陵一日还，两岸猿声啼不住，轻舟已过万重山”。
通过读这首诗，可以联想到我们学过的一些物理概念、现象或规律。
请你写出其中的一个诗句及跟这句诗相联系的物理知识： 诗句___________________ 阀门
物理知识_______
11．夏天，刚从游泳池中出来，让风一吹感到很凉，为什么？
12．动画片《蓝猫淘气三千问》中讲述了这样一则故事：雨过天晴后，森林失火了，蓝猫
赶到现场勘察，原来罪魁祸首竟是挂在树上的一颗颗水珠。
你能解释其中的原因吗？ （为了防止森林火灾．在森林里不允许随地丢弃透明的装液饮料瓶，这是为什么?）
13、小明和小刚在家里合作做一个实验，小明把一枚硬币放在一个没有水的碗里，把碗放在桌子上并慢慢向远处推移，直到眼睛刚好看不到硬币为止。
保持头部不动。
然后小刚在旁边缓慢地向碗中倒水，倒着倒着，小明又重新看到碗底的硬币了。
（1）你认为这个实验出现的现象是光的 （选填“直线传播”、“反射”或“折
射”）现象。
（2分）
（2）如图10，MN 表示水面， 图可以解释这个实验现象产生的原因。
（2分）
（3）日常生活中还有许多现象与小明所做实验的现象产生的原因相同，请你举出一个
例子。
14．茶叶要求在避光、干燥条件下贮存．常温下保质期一般为
18个月．为延长茶叶的保质期，贮存少量茶叶的方法是：将茶
叶包装好后放入冰箱中，用低温的方法贮存茶叶，这样茶叶的
保质期延长到两年之久．问：
（1）请解释图17中小朋友提出的问题．
（2）在炎热的夏天，把茶叶从冰箱中取出来后，能否马上打
开茶叶的包装？为什么？
15．给你一个透明玻璃杯、一支铅笔、一块塑料薄片，足够的自来水，请你选用这几种器材，设计三个．．
物理小实验，并指出它所属的物理现象或与之相关的物理知识．(用文字说明)。
16．小明背着书包欢快地走在通往学校的路上．问：小明背上的书包是运动的，还是静止的?说明你判断的依据．
17、大军和小欣在鱼缸边玩耍，鱼儿被吓跑了（如图所示）。
小欣认为是
他的动作吓跑了鱼儿，大军却认为是他们的声音惊走了它们。
请你设
计一个实验方案帮助他们作出判断。
M N 甲
M N 乙
M N 丙
M N 丁 图10。