湖南省长沙市麓山国际实验学校2020-2021学年度第二学期九年级入学考试英语试卷
2021年长沙市初三英语麓山国际九下入学考试英语

2021年长沙市初三英语麓山国际九下入学考试英语2020-2021-2麓山国际九下入学考试英语注意事项:1、答题前,请考生先将自己的姓名、准考证号填写清楚,并认真核对条形码上的姓名、准考证号、考室和座位号;2、必须在答题卡上答题,在草稿纸、试题卷上答题无效;3、答题时,请考生注意各大题题号后面的答题提示;4、请勿折叠答题卡,保持字体工整、笔迹清晰、卡面清洁;5、答题卡上不得使用涂改液、涂改胶和贴纸;6、本学科试卷中听力材料以中速朗读两遍。
试卷分四个部分,75小题,时量120分钟,满分120分。
I.听力技能(两部分,共20小题,计20分)第一节对话理解根据所听到的对话,从题中所给的A、B、C三个选项中选出最佳答案回答问题。
听每段对话前,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。
(共15小题,计15分)听下面五段对话,每听完一段对话后,回答1个小题。
1. Where did the man go last summer?A. New Zealand.B. Columbia.C. Switzerland.2. How is the weather today?A. Cloudy.B. Rainy.C. Sunny.3. What’s the relationship between the man and the woman?A. They are friends.B. They are neighbors.C. They are a customer and a salesman.4. Why is the man sure that Mary is NOT at the supermarket?A. Because the supermarket has already closed.B. Because she just saw Mary in the street.C. Because Mary hates shopping.5. Which team won the game?A. Manchester.B. Chelsea.C. We don’t know.第二节听下面6段对话或独白。
湖南长沙麓山国际实验学校2021―2021学年第二学期初三入学考试英语试卷

湖南长沙麓山国际实验学校2021―2021学年第二学期初三入学考试英语试卷麓山国际实验学校2021―2021―2初三入学考试英语试卷I. 知识运用 (两部分,共20小题,计20分) 第一节语法填空(共10小题,计10分)从所给的A、B、C三个选项中选择最佳答案填空。
1.―I haven’t finished the book report of Journey to the West. It’s so difficult. ―You should hurry up. We’ll hand in the report _____ three days.A. inB. onC. for2.―Do you think we should share our problems with our parents? ―Sure!_____ we talk to them, we’ll feel worse.A. BecauseB. AlthoughC. Unless 3.―Did you listen to Tom’s speech yesterday? ―Yes. His words moved everyone _____. A. present B. progress C. praise 4.―How does Tom go to school every day?―Ev ery morning, Tom takes a ______ to school.A. 20-minute’s rideB. 20-minute rideC. 20-minutes’ ride5.―Can you tell me how long you _____ the Huawei mobile phone? ―Nearly ayear. It works very well.A. boughtB. have boughtC. have had 6.―Oh, I had a terrible toothache.―You’d better _____ a doctor and have your bad tooth _____ out. A. to see; pulling B. see; pulled C. seeing; pulled 7.―I find it _____ toget a map while traveling. ―You are right. We won’t get lost _____.A. important; easyB. necessary; easilyC. convenient; hardly8.―_____ does the skirt belong to? ―I’m not sure, but it _____ be Lily’sA. Whose; might notB. Who; mustC. Whom; can not 9.―What is your hobby?―I enjoy read ing in the library _____can provide me with a lot of good books. A. where B. who C. which10.―You can’t imagine _____ when she heard the good news. ―Yes, I can. The news was really exciting.A. how happy was sheB. how happy she wasC. she was how happy第二节词语填空(共10小题,计10分)通读下面的短文,掌握其大意,然后从各题所给的A、B、C三个选项中选出一个最佳答案。
湖南长沙麓山国际实验校2024届中考英语全真模拟试卷含答案

湖南长沙麓山国际实验校2024届中考英语全真模拟试卷含答案考生请注意:1.答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内,不得在试卷上作任何标记。
2.第一部分选择题每小题选出答案后,需将答案写在试卷指定的括号内,第二部分非选择题答案写在试卷题目指定的位置上。
3.考生必须保证答题卡的整洁。
考试结束后,请将本试卷和答题卡一并交回。
Ⅰ. 单项选择1、—Let’s turn on the TV and watch the football match.—It’s too late. I t_____for an hour. And the result was 1-0.China won.A.has finished B.has begun C.has been on D.has been over2、一The food delivery man Lei Haiwei won China Central Television's poetry competitionon April 4 this year.一He really shines. .A.Every dog has its day B.A good beginning is half doneC.The early bird catches the worm D.Actions speak louder than words3、He seldom stays up late at night, ______ necessary, to keep himself full of energy the next day.A.if B.unless C.until D.while4、--- Do you like watching Luneng Team play soccer?--- Yes, _______ great players they are!A.How B.What C.What an D.How a5、Kate is only child in her family.A.a B.an C.the6、Some people are interested in _______women’s sense of smell is better developed than _____of men.A.which; that B.what; one C.which; one D.whether; that7、— Could you please tell me ______?—Not until 2 o’clock this afternoon.A.when will the meeting start B.when the meeting would startC.when the meeting will start D.when did the meeting start8、—How about raising some money for the people in the earthquake-hit area?—__________! They can buy some food and clothes with the money.A.I disagree B.Not at all C.Good idea D.I’m sorry9、---What do you think we can do for our aged parents?---You don’t have to do __________except to be with them and be yourself.A.something B.anything C.everything D.nothing10、In English, we say that sharing a problem is like cutting it in half. So you’re half way to solving a problem just _____talking to someone about it.A.with B.by C.inⅡ. 完形填空11、Read the passage and choose the correct words (阅读短文,选择恰当的单词)Tired of the noisy life in Bangladesh(孟加拉), a young writer has found a great place to have some quiet and happy hours.Each day, the 25-year-old Bangladeshi writer uses a pulley(滑车)to 1 to a wooden platform at the top of a tree. The platform is 30 metres 2 the ground.“I 3 four to five hours in the tree reading and writing, listening to the birds singing,” he said.The young writer sleeps there sometimes. “I feel great when I am in the tree writing poetry in the moonlight or looking at the sun 4 or setting. It is a wonderful life.”He added.“At first, other villages thought I was mad, b ut now, many people ask me to build the same kinds of tree house for them. They want to have such a different life.” He said.Bangladesh is a country 5 a population of 144 million. It has become one of the world’s most crowded countries.1.A.climb B.go down C.stay D.jump2.A.on B.from C.above D.under3.A.spend B.take C.pay D.cost4.A.raising B.going C.dropping D.rising5.A.have B.with C.without D.hasⅢ. 语法填空12、请用适当的词完成下面的短文,并把所缺单词填写在答题卡指定的位置上。
麓山国际实验学校九年级英语第一次月考试卷及答案.pdf

麓山国际实验学校2020—2020—1初三第一次限时训练英语试卷命题人: 审题人:总分 120分时量 100分钟Ⅰ. 听力技能(两部分,共20小题,计20分)第一节听力选择(共15小题,计15分)听对话,选择正确的答案。
听每段对话前,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。
听下面5段对话,每听完一段对话后,回答1个小题。
1.What fruit does Jim like?A. Apples.B. Grapes.C. Strawberries.2. How does the boy usually go to school?A. On foot.B. By bus.C. By bike.3. How does the girl get good grades in physics?A. By doing more exercises.B. By spending more time on it.C. By becoming interested in it.4. Where will Kate probably go?A. Post office.B. School.C. Dining hall.5. How much is the watch today?A. 60 yuan.B. 120 yuan.C. 240 yuan.听下面的对话,回答6-7小题。
6. What does Tony plan to do with Susan?A. Have dinner.B. Go shopping.C. Go to a movie.7. When are they going to meet?A. At 6:15 this afternoon.B. At 6:15 tomorrow afternoon.C. At 5:45tomorrow afternoon.听下面的对话,回答8-9小题。
2020-2021学年湖南省长沙市九年级下册入学考试英语试卷分类汇编:阅读表达

2020-2021学年湖南省长沙市九年级下册入学考试英语试卷分类汇编阅读表达湖南省长沙市师大附中博才实验中学2020-2021学年九年级下学期入学英语试卷第四节阅读表达阅读下面的短文,然后根据短文内容回答问题。
(共5小题,计10分)Many young people these days are interested in extreme sports, which mean very dangerous activities that need speed, height, or a high level of physical efforts. Bungee jumping, snow skating, Parkour and surfing are very popular extreme sports, but mountain climbing might be the first.In 1985, two British young men, Joe Simpson and Simon Yates became the first west faces to climb the 6344-meter Siula Grande in the Andes(安第斯山脉). On the way down, Simpson fell and broke his leg, and then he slipped(滑) down and lost connection with his friend. Yates had to get for help. Simpson fell more than 100 feet and landed on a bridge of ice. Finally he crawled(爬) for three days without food or water until he reached the camp.On April 26, 2003, when Aron Rolston was climbing alone in Utah, his arm was caught under a 360-kilo rock and he couldn’t move. After five days of waiting for help, the 28-year-old American ran out of water and finally he cut off half his right arm with a small knife to free himself. He also bandaged(包扎) himself in order not to lose too much blood. In 2004, he wrote a book named Between a Rock and a Hard Place. “In this book,” Aron said, “I want to tell the readers the importance of making good decisions, and of being in control of one’s life.”60. How many kinds of extreme sports are mentioned in the first paragraph?61. Did Simpson and Yates’ disaster happen on the way up th e mountain?62. How did Simpson get back to the camp?63. What did Aron do to save himself when he ran out of water?64. Why did Aron write the book Between a Rock and a Hard Place?答案:60. 5 / Five.61. No (, it didn't).62. By crawling for three days without food or water.63. He cut off half his right arm with a small knife and bandaged himself.64. Because he wanted to tell the readers the importance of making good decisions, and ofbeing in control of one’s life.2020-2021学年湖南省长沙市麓山国际学校九年级下学期入学考试英语第四节阅读表达阅读下面的短文,然后根据短文内容回答问题。
湖南省长沙市麓山国际实验学校2020-2021学年度九年级下学期入学考试化学试卷

麓山国际实验学校2020—2021—2初三开学作业检测化学试卷时量:60分钟总分:100分一、选择题(本大题包括15个小题,每小题3分,共45分)1.我们生活在不断变化的物质世界中,下列变化属于化学变化的是()A.干冰升华B.铁钉在潮湿的空气中生锈C.水结成冰D.活性炭吸附水中杂质2.空气是人类的宝贵资源,下列有关空气的说法正确的是()A.被污染的空气是混合物,洁净的空气是纯净物B.空气中氮气的质量分数约为78%C.氧气具有可燃性,是很好的燃料D.稀有气体的化学性质不活泼,常用作保护气3.下列实验基本操作正确的是()A.取用固体B.点燃酒精灯C.溶解固体D.过滤O-)的一个原子团是由一个O2 4.树林中含有抗氧化防衰老的负氧离子。
一种负氧离子(2O-中共含有的电子数为()分子俘获了空气中一个自由电子形成的微粒,每个2A.8B.9C.16D.175.下列做法违背节水理念的是()A.防止水龙头滴漏B.采用大水漫灌农作物C.使用节水器具D.循环利用工业用水6.下列有关碳及其氧化物的说法正确的是()A.二氧化碳的过多排放是导致酸雨产生的主要原因B.金刚石与石墨都是碳的单质,其物理性质差异较大的原因是碳原子的排列方式不同C.室内放一盆水能防止一氧化碳中毒D.石蕊遇酸变红,将二氧化碳通入紫色石蕊溶液,溶液变红,说明二氧化碳是一种酸7.点燃的火柴棍燃烧端朝上时,其未燃尽便熄灰的主要原因是()A.缺乏氧气B.火柴棍的着火点升高了C.缺乏可燃物D.燃烧端下方的火柴棍温度不易达到着火点8.有甲、乙、丙、丁四种金属,只有丙在自然界能以单质形式存在。
含甲化合物的水溶液不能用乙制得的容器盛放。
将甲和丁分别放入硝酸铜溶液中,在甲表面有铜析出,而丁没有变化。
这四种金属活动性顺序由弱到强的是()A.丙<丁<甲<乙B.乙<甲<丁<丙C.丁<甲<乙<丙D.丙<乙<甲<丁9.下列关于溶液的说法中正确的是()A.溶液具有均一性和稳定性,所以均一、稳定的液体都是溶液B.饱和溶液就是不能再溶解任何物质的溶液C.夏季黄昏,池塘里的鱼常浮出水面,说明气体溶解度随温度升高而减小D.在相同温度下,饱和溶液一定比不饱和溶液浓10.化学是以实验为基础的学科,下列实验现象表述正确的是()A.电解水实验中正极与负极产生的气体体积比为1:8B.铁在空气中燃烧,火星四射,生成黑色的四氧化三铁C.铜与稀硫酸反应、产生无色气体,且溶液变成蓝色D.氧化铁与稀硫酸反应,溶液由无色逐渐变为黄色11.下列对自然界中的某些现象,运用微粒知识解释不正确的是()A.墙内开花墙外香——分子在不断运动B.氢氧化钠和氢氧化钙都能使酚酞溶液变红——它们都能解离出OH-C.热胀冷缩——分子的大小随温度变化而改变D.水(H2O)和过氧化氢(H2O2)的化学性质不同——分子的构成不同12.据媒体报道,锶晶格钟是一种新型原子钟,其准确度高得惊人,它能在50亿年间不慢一秒也不快一秒。
湖南省长沙市长郡双语实验中学2020-2021学年九年级下学期开学考试英语试题

10.— Could you tell me _______?
— Sorry, I have no idea. Maybe next week.
A.when will we go back to school
B.when we can go to school
After that, we’ll go to Macau Tower, the 10th tallest tower in the world. This is certainly the best place to see the city!
The next day, we’ll enjoy many of the best foods of Macau. Anyone who has visited Macau will tell you the food is hard to keep from enjoying! One of the places we’ll take you to is Lord Stow’s Bakery — nobody should miss the egg tarts there!
20.A.changedB.controlledC.described
Gustave Eiffel designed the Eiffel Tower as the entrance to the 1889 Paris World’s Fair. Today, it is a symbol of France. Take a closer look at the country’s “Iron Lady”.
湖南省长沙市长郡双语实验中学2020-2021学年九年级下学期开学考试英语试题
2020-2021学年湖南省长沙市岳麓区麓山国际实验学校九年级(下)入学数学试卷(附答案详解)

2020-2021学年湖南省长沙市岳麓区麓山国际实验学校九年级(下)入学数学试卷1. 在实数35,0,√5,−π,911,√83中,无理数有( )个. A. 4 B. 3 C. 2 D. 12. 下列计算,正确的是( )A. a 5+a 5=a 10B. a 3÷a −1=a 2C. a ⋅2a 2=2a 4D. (−a 2)3=−a 63. 如图所示,在数轴上表示实数√8的点可能是( )A. 点MB. 点NC. 点PD. 点Q4. 北京间为5月27日,蛟龙号载人潜水器在太平洋玛利亚纳海作业区开展了本航段第3次下潜,最大下潜深度突破6500米,数6500用科学记数法表示为( )A. 65×102B. 6.5×102C. 6.5×103D. 6.5×1045. 已知关于x 的一次函数y =(2−m)x +2的图象如图所示,则实数m 的取值范围为( )A. m >2B. m <2C. m >0D. m <06. 分式方程1x =2x−2的解为( ) A. x =2 B. x =−2 C. x =−23 D. x =23 7. 若一个多边形的内角和是其外角和的4倍,则这个多边形的边数( )A. 7B. 8C. 9D. 108. 由四个相同的小正方体组成的立体图形,它的三视图如下图所示,则这个立体图形可能是( )A. B. C. D.9.一副学生用的三角板如图放置,则∠AOD的度数为()A. 75°B. 100°C. 105°D. 120°10.在平面直角坐标系中,将点A(−1,−2)向右平移3个单位长度得到点B,则点B关于x轴的对称点B′的坐标为()A. (−3,−2)B. (2,2)C. (−2,2)D. (2,−2)11.如图,AB是⊙O的直径,弦CD交AB于点P,AP=2,BP=6,∠APC=30°,则CD的长为()A. √15B. 2√5C. 2√15D. 812.如图,抛物线y=ax2+bx+c(a≠0)与x轴交于点A(1,0)和B,与y轴的正半轴交于点C.下列结论:①abc>0;②4a−2b+c>0;③2a−b>0;④3a+c<0,其中正确结论的个数为()A. 1个B. 2个C. 3个D. 4个13.因式分解:3a2−12a+12=______.14.如图,已知点P(1,2)在反比例函数y=k的图象上,观察图象x可知,当x>1时,y的取值范围是______ .15.在正方形网格中,△ABC的位置如图所示,则sin B的值为______.16.如图,在Rt△ABC中,AB=AC=8,点E,F分别是AB,AC的中点,点P是扇形AEF的弧EF上任意一点,连接BP,CP,则12BP+CP的最小值是______ .17.计算:|√3−2|+sin60°−√27+2−2.18.先化简,再求值:4(x−1)2−(2x+3)(2x−3),其中x=−1.19.求关于x的不等式组{x−12+2>x2(x−2)≤3x−5的所有整数解之和.20.某校创建“环保示范学校”,为了解全校学生参加环保类杜团的意愿,在全校随机抽取了50名学生进行问卷调查,问卷给出了五个社团供学生选择(学生可根据自己的爱好选择一个社团,也可以不选),对选择了社团的学生的问卷情况进行了统计,如表:社团名称A.酵素制作社团B.回收材料小制作社团C.垃圾分类社团D.环保义工社团E.绿植养护社团人数10155105(1)填空:在统计表中,这5个数的中位数是______;(2)根据以上信息,补全扇形图(图1)和条形图(图2);(3)该校有1400名学生,根据调查统计情况,请估计全校有多少学生愿意参加环保义工社团;(4)若小诗和小雨两名同学在酵素制作社团或绿植养护社团中任意选择一个参加,请用树状图或列表法求出这两名同学同时选择绿植养护社团的概率.21.如图,菱形ABCD的对角线AC,BD相交于点O,E是AD的中点,点F,G在AB上,EF⊥AB,OG//EF.(1)求证:四边形OEFG是矩形;(2)若AD=10,EF=4,求OE和BG的长.22.2020年5月,全国“两会”召开以后,应势复苏的“地摊经济”带来了市场新活力,小丹准备购进A、B两种类型的便携式风扇到地摊一条街出售.已知2台A型风扇和5台B型风扇进价共100元,3台A型风扇和2台B型风扇进价共62元.(1)求A型风扇、B型风扇进货的单价各是多少元?(2)小丹准备购进这两种风扇共100台,根据市场调查发现,A型风扇销售情况比B型风扇好,小丹准备多购进A型风扇,但数量不超过B型风扇数量的3倍,购进A、B两种风扇的总金额不超过1170元.根据以上信息,小丹共有哪些进货方案?哪种进货方案的费用最低?最低费用为多少元?23.如图,AB为⊙O的直径,点P在AB的延长线上,点C在⊙O上,且PC2=PB⋅PA.(1)求证:PC是⊙O的切线;(2)已知PC=20,PB=10,点D是AB⏜的中点,DE⊥AC,垂足为E,DE交AB于点F,求EF的长.24.已知y是关于x的函数,若其函数图象经过点P(t,t),则称点P为函数图象上的“麓点”,例如:y=3x−2上存在“麓点”P(1,1).(1)直线______ (填写直线解析式)上的每一个点都是“麓点”;双曲线y=1x上的“麓点”是______ ;(2)若抛物线y=−12x2+(23a+1)x−29a2−a+1上有“麓点”,且“麓点”为A(x1,y1)和B(x2,y2),求W=x12+x22的最小值;(3)若函数y=14x2+(n−k+1)x+m+k−1的图象上存在唯一的一个“麓点”,且当−2≤n≤1时,m的最小值为k,求k的值.25.如图1,在平面直角坐标系中,直线y=x−1与抛物线y=−x2+bx+c交于A、B两点,其中A(m,0)、B(4,n),该抛物线与y轴交于点C,与x轴交于另一点D.(1)求m、n的值及该抛物线的解析式;(2)如图2,若点P为线段AD上的一动点(不与A、D重合),分别以AP、DP为斜边,在直线AD的同侧作等腰直角△APM和等腰直角△DPN,连接MN,试确定△MPN面积最大时P点的坐标;(3)如图3,连接BD、CD,在线段CD上是否存在点Q,使得以A、D、Q为顶点的三角形与△ABD相似,若存在,请直接写出点Q的坐标;若不存在,请说明理由.答案和解析1.【答案】C3=2,【解析】解:√8无理数有:√5,−π,共2个.故选:C.无理数就是无限不循环小数.理解无理数的概念,一定要同时理解有理数的概念,有理数是整数与分数的统称.即有限小数和无限循环小数是有理数,而无限不循环小数是无理数.由此即可判定选择项.此题主要考查了算术平方根、立方根以及无理数的定义,注意带根号的要开不尽方才是无理数,无限不循环小数为无理数.如π,√2,0.8080080008…(每两个8之间依次多1个0)等形式.2.【答案】D【解析】解:a5+a5=2a5,A错误;a3÷a−1=a3−(−1)=a4,B错误;a⋅2a2=2a3,C错误;(−a2)3=−a6,D正确,故选:D.根据合并同类项法则、同底数幂的除法法则、幂的乘方法则、单项式乘单项式的运算法则计算,判断即可.本题考查的是合并同类项、同底数幂的除法、幂的乘方、单项式乘单项式,掌握它们的运算法则是解题的关键.3.【答案】B【解析】解:∵4<8<9,∴2<√8<3,故选:B.估算出√8的范围,结合数轴即可得到答案.本题考查了无理数的估算,无理数的估算常用夹逼法,估算出√8的范围是解题的关键.4.【答案】C【解析】解:数6500用科学记数法表示为6.5×103.故选:C.科学记数法的表示形式为a×10n的形式,其中1≤|a|<10,n为整数.确定n的值时,要看把原数变成a时,小数点移动了多少位,n的绝对值与小数点移动的位数相同.当原数绝对值>1时,n是正数;当原数的绝对值<1时,n是负数.此题考查科学记数法的表示方法.科学记数法的表示形式为a×10n的形式,其中1≤|a|<10,n为整数,表示时关键要正确确定a的值以及n的值.5.【答案】B【解析】解:由题意:2−m>0,∴m<2.故选:B.观察图象可知k>0,构建不等式即可解决问题.本题考查一次函数图象与系数的关系,解题的关键是熟练掌握基本知识,学会用转化的思想解决问题,属于中考常考题型.6.【答案】B【解析】解:去分母得:2x=x−2,解得:x=−2,经检验x=−2是分式方程的解,则分式方程的解为x=−2,故选:B.分式方程去分母转化为整式方程,求出整式方程的解得到x的值,经检验即可得到分式方程的解.此题考查了分式方程的解,解分式方程利用了转化的思想,还有注意不要忘了检验.7.【答案】D【解析】解:设这个多边形的边数为n,则该多边形的内角和为(n−2)×180°,依题意得:(n−2)×180°=360°×4,解得:n=10,∴这个多边形的边数是10.故选:D.设这个多边形的边数为n,根据内角和公式以及多边形的外角和为360°即可列出关于n 的一元一次方程,解方程即可得出结论.本题考查了多边形内角与外角,解题的关键是根据多边形内角和公式得出方程(n−2)×180°=360°×4.8.【答案】A【解析】解:由三视图可得:这个立体图形可能是,故选:A.从正面看所得到的图形是主视图,从左面看到的图形是左视图,从上面看到的图象是俯视图,进而解答即可.此题主要考查了三视图,关键是把握好三视图所看的方向.9.【答案】C【解析】解:由题可得,∠ACB=45°,∠DBC=30°,∴△BCO中,∠BOC=180°−45°−30°=105°,∴∠AOD=∠BOC=105°,故选:C.依据三角形内角和定理,即可得到∠BOC=105°,再根据对顶角相等,即可得出∠AOD的度数.本题考查了三角形的内角和定理以及对顶角的性质,利用三角形内角和为180°是关键.10.【答案】B【解析】解:点A(−1,−2)向右平移3个单位长度得到的B的坐标为(−1+3,−2),即(2,−2),则点B关于x轴的对称点B′的坐标是(2,2),故选:B.首先根据横坐标右移加,左移减可得B点坐标,然后再根据关于x轴对称点的坐标特点:横坐标不变,纵坐标符号改变可得答案.此题主要考查了坐标与图形变化−平移,以及关于x轴对称点的坐标,关键是掌握点的坐标变化规律.11.【答案】C【解析】【分析】本题考查了垂径定理:垂直于弦的直径平分这条弦,并且平分弦所对的两条弧.也考查了勾股定理以及含30度的直角三角形的性质.作OH⊥CD于H,连结OC,如图,根据垂径定理由OH⊥CD得到HC=HD,再利用AP=2,BP=6可计算出半径OA=4,则OP=OA−AP=2,接着在Rt△OPH中根据含30度OP=1,然后在Rt△OHC中利用勾股定理计算出的直角三角形的性质计算出OH=12CH=√15,所以CD=2CH=2√15.【解答】解:作OH⊥CD于H,连结OC,如图,∵OH⊥CD,∴HC=HD,∵AP=2,BP=6,∴AB=8,∴OA=4,∴OP=OA−AP=2,在Rt△OPH中,∵∠OPH=30°,∴∠POH=60°,∴OH=12OP=1,在Rt△OHC中,∵OC=4,OH=1,∴CH=√OC2−OH2=√15,∴CD=2CH=2√15.故选C.12.【答案】C【解析】解:①∵由抛物线的开口向下,∴a<0,∵对称轴位于y轴的左侧,∴a、b同号,即ab>0.∴b<0,∵抛物线与y轴交于正半轴,∴c>0,∴abc>0,∴①正确;②如图,当x=−2时,y=4a−2b+c>0,∴②正确;③对称轴为x=−b2a >−1,即b2a<1,∵a<0,∴b>2a,即2a−b<0,∴③错误;④当x=1时,y=a+b+c=0,又∵b>2a,∴a+b+c=0>a+2a+c=3a+c,即3a+c<0.∴④正确.综上所述,正确的结论有①②④共3个,故选:C.根据抛物线的开口方向,对称轴,顶点坐标以及过特殊点,结合不等式的性质逐个进行判断即可.本题考查二次函数的图形和性质,掌握抛物线的开口方向、对称轴、顶点坐标以及过特殊点是系数a、b、c所满足的关系是正确判断的前提.13.【答案】3(a−2)2【解析】解:3a2−12a+12=3(a2−4a+4)=3(a−2)2.故答案是:3(a−2)2.直接提取公因式3,再利用完全平方公式分解因式即可.此题主要考查了提取公因式法以及公式法分解因式,正确应用公式是解题关键.14.【答案】0<y<2【解析】解:由P点坐标可知,当x>1时,y的取值范围是0<y<2.故答案为0<y<2.由反比例函数的图象的性质,可直接解答.本题考查了反比例函数的图象,利用数形结合思想是解题的关键.15.【答案】√22【解析】解:作AE⊥BC于E.在Rt△ABE中,∵AE=BE=4,∠AEB=90°,∴∠ABE=∠BAE=45°,∴sinB=sin45°=√22,故答案为√22.作AE⊥BC于E.利用等腰直角三角形的性质解决问题即可.本题考查解直角三角形,解题的关键是学会添加常用辅助线,构造直径三角形解决问题.16.【答案】2√17【解析】解:在AB上取一点T,使得AT=2,连接PT,PA,CT,∵PA=4.AT=2,AB=8,∴PA2=AT⋅AB,∴PAAT =ABPA,∵∠PAT=∠PAB,∴△PAT∽△BAP,∴PTPB =APAB=12,∴PT=12PB,∴12PB+CP=CP+PT,∵PC+PT≥TC,在Rt△ACT中,∵∠CAT=90°,AT=2,AC=8,∴CT=√AT2+AC2=2√17,∴12PB+PC≥2√17,∴12PB+PC的最小值为2√17,故答案为:2√17.在AB上取一点T,使得AT=2,连接PT,PA,CT,构造出△PAT∽△BAP,从而有12PB+CP=CP+PT,即三点共线时和最小,求CT的值即可.本题主要考查了三角形相似的判定与性质、线段和最小等知识,构造出相似三角形将12BP转化为PT是解决问题的关键.17.【答案】解:原式=2−√3+√32−3√3+14=−72√3+94.【解析】直接利用负整数指数幂的性质以及二次根式、特殊角的三角函数值、绝对值的性质分别化简得出答案.此题主要考查了实数运算,正确化简各数是解题关键.18.【答案】解:原式=4(x2−2x+1)−(4x2−9)=4x2−8x+4−4x2+9=−8x+13,当x=−1时,原式=8+13=21.【解析】此题考查了整式的混合运算−化简求值,涉及的知识有:平方差公式、完全平方公式、去括号法则以及合并同类项法则,熟练掌握公式及法则是解本题的关键.先利用完全平方公式和平方差公式计算,再去括号、合并同类项即可化简原式,再将x 的值代入计算可得.19.【答案】解:{x−12+2>x①2(x−2)≤3x−5②,解不等式①得,x<3,解不等式②得,x≥1,所以,不等式组的解集是1≤x<3,所以,不等式组的整数解有1、2,它们的和为1+2=3.【解析】分别解出两不等式的解集,再求其公共解,然后求得整数解即可.本题主要考查了一元一次不等式组解集的求法,其简便求法就是用口诀求解.求不等式组解集的口诀:同大取大,同小取小,大小小大中间找,大大小小找不到(无解).20.【答案】解:(1)10;(2)没有选择的占1−10%−30%−20%−10%−20%=10%,条形图的高度和E相同;如图所示:(3)1400×20%=280(名)答:估计全校有多少学生愿意参加环保义工社团有280名;(4)酵素制作社团、绿植养护社团分别用A、B表示:树状图如图所示,共有4种可能,两人同时选择绿植养护社团只有一种情形,∴这两名同学同时选择绿植养护社团的概率=1.4【解析】解:(1)这5个数从小到大排列:5,5,10,10,15,故中位数为10,故答案为10.(2)没有选择的占1−10%−30%−20%−10%−20%=10%,条形图的高度和E相同;如图所示:(3)1400×20%=280(名)答:估计全校有多少学生愿意参加环保义工社团有280名;(4)酵素制作社团、绿植养护社团分别用A、B表示:树状图如图所示,共有4种可能,两人同时选择绿植养护社团只有一种情形,∴这两名同学同时选择绿植养护社团的概率=1.4此题考查了扇形统计图,条形统计图,列表法与树状图法,用到的知识点为:概率=所求情况数与总情况数之比.(1)根据中位数的定义即可判断;(2)求出没有选择的百分比,高度和E相同,即可画出图形;(3)利用样本估计总体的思想解决问题即可;(4)画出树状图即可解决问题;21.【答案】解:(1)∵四边形ABCD是菱形,∴BD⊥AC,∠DAO=∠BAO,∵E是AD的中点,∴AE=OE=1AD,2∴∠EAO=∠AOE,∴∠AOE=∠BAO,∴OE//FG ,∵OG//EF ,∴四边形OEFG 是平行四边形,∵EF ⊥AB ,∴∠EFG =90°,∴四边形OEFG 是矩形;(2)∵四边形ABCD 是菱形,∴BD ⊥AC ,AB =AD =10,∴∠AOD =90°,∵E 是AD 的中点,∴OE =AE =12AD =5; 由(1)知,四边形OEFG 是矩形,∴FG =OE =5,∵AE =5,EF =4,∴AF =√AE 2−EF 2=3,∴BG =AB −AF −FG =10−3−5=2.【解析】(1)根据菱形的性质得到BD ⊥AC ,∠DAO =∠BAO ,得到AE =OE =12AD ,推出OE//FG ,求得四边形OEFG 是平行四边形,根据矩形的判定定理即可得到结论;(2)根据菱形的性质得到BD ⊥AC ,AB =AD =10,得到OE =AE =12AD =5;由(1)知,四边形OEFG 是矩形,求得FG =OE =5,根据勾股定理得到AF =√AE 2−EF 2=3,于是得到结论.本题考查了矩形的判定和性质,菱形的性质,勾股定理,直角三角形的性质,正确的识别图形是解题的关键.22.【答案】解:(1)设A 型风扇进货的单价是x 元,B 型风扇进货的单价是y 元,依题意,得:{2x +5y =1003x +2y =62, 解得:{x =10y =16. 答:A 型风扇进货的单价是10元,B 型风扇进货的单价是16元;(2)设购进A 型风扇m 台,则购进B 型风扇(100−m)台,依题意,得:{m ≤3(100−m)10m +16(100−m)≤1170, 解得:7123≤m ≤75,又∵m 为正整数,∴m 可以取72、73、74、75,∴小丹共有4种进货方案,方案1:购进A 型风扇72台,B 型风扇28台;方案2:购进A 型风扇73台,B 型风扇27台;方案3:购进A 型风扇74台,B 型风扇26台;方案4:购进A 型风扇75台,B 型风扇25台.∵B 型风扇进货的单价大于A 型风扇进货的单价,∴方案4:购进A 型风扇75台,B 型风扇25台的费用最低,最低费用为75×10+25×16=1150元.【解析】(1)设A 型风扇进货的单价是x 元,B 型风扇进货的单价是y 元,根据“2台A 型风扇和5台B 型风扇进价共100元,3台A 型风扇和2台B 型风扇进价共62元”,即可得出关于x ,y 的二元一次方程组,解之即可得出结论;(2)设购进A 型风扇m 台,则购进B 型风扇(100−m)台,根据“购进A 型风扇不超过B 型风扇数量的3倍,购进A 、B 两种风扇的总金额不超过1170元”,即可得出关于m 的一元一次不等式组,解之即可得出m 的取值范围,再结合m 为正整数即可得出各进货方案.本题考查了二元一次方程组的应用以及一元一次不等式组的应用,解题的关键是:(1)找准等量关系,正确列出二元一次方程组;(2)根据各数量之间的关系,正确列出一元一次不等式组.23.【答案】(1)证明:连接OC ,如图1所示:∵PC 2=PB ⋅PA ,即PA PC =PCPB ,∵∠P =∠P ,∴△PBC∽△PCA ,∴∠PCB =∠PAC ,∵AB 为⊙O 的直径,∴∠ACB =90°,∴∠A +∠ABC =90°,∵OC =OB ,∴∠OBC=∠OCB,∴∠PCB+∠OCB=90°,即OC⊥PC,∴PC是⊙O的切线;(2)解:连接OD,如图2所示:∵PC=20,PB=10,PC2=PB⋅PA,∴PA=PC2PB =20210=40,∴AB=PA−PB=30,∵△PBC∽△PCA,∴ACBC =PAPC=2,设BC=x,则AC=2x,在Rt△ABC中,x2+(2x)2=302,解得:x=6√5,即BC=6√5,∵点D是AB⏜的中点,AB为⊙O的直径,∴∠AOD=90°,∵DE⊥AC,∴∠AEF=90°,∵∠ACB=90°,∴DE//BC,∴∠DFO=∠ABC,∴△DOF∽△ACB,∴OFOD =BCAC=12,∴OF=12OD=152,即AF=152,∵EF//BC,∴EFBC =AFAB=14,∴EF=14BC=3√52.【解析】(1)连接OC,△PBC∽△PCA,得出∠PCB=∠PAC,由圆周角定理得出∠ACB= 90°,证出∠PCB+∠OCB=90°,即OC⊥PC,即可得出结论;(2)连接OD,由相似三角形的性质得出ACBC =PAPC=2,设BC=x,则AC=2x,在Rt△ABC中,由勾股定理得出方程,得出BC=6√5,证出DE//BC,得出△DOF∽△ACB,得出OF OD =BCAC=12,得出OF=12OD=152,即AF=152,再由平行线得出EFBC=AFAB=14,即可得出结果.本题考查了相似三角形的判定与性质、切线的判定、圆周角定理、等腰三角形的性质、勾股定理、垂径定理等知识;熟练掌握切线的性质和圆周角定理,证明三角形相似是解题的关键.24.【答案】y=x(1,1)或(−1,−1)【解析】解:(1)由题意得:y=x时,图象经过点P(t,t),y=1x=x,解得:x=±1,故答案为:y=x,(1,1)或(−1,−1).(2)由题意得:y=x,即:y=−12x2+(23a+1)x−29a2−a+1=x,整理得:−12x2+23ax−29a2−a+1=0,∵△=(23a)2−4×(−12)(−29a2−a+1)=−2a+2≥0,解得:a≤1,由根与系数关系得:x1+x2=4a3,x1x2=49a2+2a−2,∴W=x12+x22=(x1+x2)2−2x1x2=89(a−94)2−12,∵89>0,故函数W有最小值,当a=1时,函数取得最小值为y=89(a−94)2−12=89.(3)∵函数y=14x2+(n−k+1)x+m+k−1的图象上存在“麓点”,则14x2+(n−k+1)x+m+k−1=x,整理得:14x2+(n−k)x+m+k−1=0,由函数图象上存在唯一的一个“麓点”可知:△=(n−k)2−(m+k−1)=0,∴m=(n−k)2−(k−1),①当−2≤n =k ≤1时,n =k 时,m 取得最小值,即:−(k −1)=k ,解得:k =12.②当n =k ≤−2时,n =−2,m 取得最小值,即:(−2−k)2−(k −1)=k ,解得:无解.③当n =k ≥1时,n =1,m 取得最小值,即:(1−k)2−(k −1)=k ,解得:k =2±√2(舍去负值)故:k 的值为:12或2+√2.(1)直接利用新定义建立方程求解即可;(2)先利用新定义得出:−12x 2+23ax −29a 2−a +1=0,用一元二次方程的判别式求出a 的范围,用根与系数的关系得出x 1+x 2=4a 3,x 1x 2=49a 2+2a −2,进而得出W =x 12+x 22=89(a −94)2−12,即可得出结论. (3)由题意得:y =14x 2+(n −k +1)x +m +k −1=x ,由题意△=0得:m =(n −k)2−(k −1),分当−2≤n =k ≤1、当n =k ≤−2、n =k ≥1三种情况,求解即可.此题主要考查了新定义,反比例函数图象上点的坐标特征,一次函数图象上点的在特征,一元二次方程的根的判别式,根与系数的关系,二次函数的性质,求出a 的范围是解本题的关键.25.【答案】解:(1)把A(m,0),B(4,n)代入y =x −1得:m =1,n =3,∴A(1,0),B(4,3),∵y =−x 2+bx +c 经过点A 与点B ,∴{−1+b +c =0−16+4b +c =3, 解得:{b =6c =−5, 则二次函数解析式为y =−x 2+6x −5;(2)如图2,△APM 与△DPN 都为等腰直角三角形,∴∠APM =∠DPN =45°,∴∠MPN =90°,∴△MPN 为直角三角形,令−x 2+6x −5=0,得到x =1或x =5,∴D(5,0),即DA =5−1=4,设AP =m ,则有DP =4−m ,∴PM =√22m ,PN =√22(4−m), ∴S △MPN =12PM ⋅PN =12×√22m ×√22(4−m)=−14m 2+m =−14(m −2)2+1, ∴当m =2,即AP =2时,S △MPN 最大,此时OP =3,即P(3,0);(3)存在,易得直线CD 解析式为y =x −5,设Q(x,x −5),由题意得:∠BAD =∠ADC =45°,当△ABD∽△DAQ 时,AB DA =BD AQ ,即3√24=√10AQ , 解得:AQ =4√53, 由两点间的距离公式得:(x −1)2+(x −5)2=809, 解得:x =73或x =113,此时Q(73,−83)或(113,−43)(舍去); 当△ABD∽△DQA 时,BD AQ =1,即AQ =√10,∴(x −1)2+(x −5)2=10,解得:x =2或x =4,此时Q(2,−3)或(4,−1)(舍去),综上,点Q 的坐标为(2,−3)或(73,−83).【解析】(1)把A 与B 坐标代入一次函数解析式求出m 与n 的值,确定出A 与B 坐标,代入二次函数解析式求出b 与c 的值即可;(2)由等腰直角△APM 和等腰直角△DPN ,得到∠MPN 为直角,由两直角边乘积的一半表示出三角形MPN 面积,利用二次函数性质确定出三角形面积最大时P 的坐标即可;(3)存在,分两种情况,根据相似得比例,求出AQ 的长,利用两点间的距离公式求出Q 坐标即可.此题属于二次函数综合题,涉及的知识有:待定系数法求函数解析式,二次函数的图象与性质,相似三角形的判定与性质,两点间的距离公式,熟练掌握各自的性质是解本题的关键.。
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湖南省长沙市麓山国际实验学校2020-2021学年度第二学期九年级入学考试英语试卷学校:___________姓名:___________班级:___________考号:___________一、单项选择1.—I heard you and your classmates held a New Year party last Friday.—You should have come. ________ great time we had!A.How B.What a C.What2.—I wonder whether I could watch Frozen 2, after all I'm too old to watch cartoons.—Well, I've already seen it. ________ the film is for children, I promise you'll not be disappointed.A.Although B.Because C.Unless3.—Look out! A car is coming!—Oh, sorry. I ________ the final exams next week.A.was thinking B.thought C.am going to think 4.—Changsha is really a beautiful city and there are so many places of interest.—I can’t agree more. So why not stay here for ________ two days?A.other B.others C.another5.Many big cities including Beijing and Shanghai have already ________ their citizens to stay where they work during the Spring Festival holiday to prevent the virus from spreading.A.called at B.called on C.called in 6.Although many kinds of elephants are endangered, some people still like the art pieces________ ivory.A.made of B.are made of C.making of 7.Because of the epidemic(传染病), she lost her job when the factory closed down, along with ________ others.A.5 hundred of B.hundreds of C.5 hundreds 8.—Could you help me take care of my dog when I'm away, Jane?—I'm afraid I'm ________ Jessica. She might be a better choice for you.A.as careful as B.not so careful as C.more careful than 9.—Don’t always be too hard ________ yourself. This can be harmful ________ your health.—Thanks for your advice.A.on, to B.to, on C.with, to10.—Do you know ________?—I’m not sure. Maybe in a few days.A.how long it takes to get there B.how often does your cousin take a vacation C.how soon your father will be back二、完形填空One day, a son went to his father for advice. “Dad, I can't do this anymore,” he said.football well and my dream will never 12 .”The father looked at his son with 13 eyes and said, “Well, my dear son, every person has a dream — a goal of his life. It makes us do what we are doing, because it's what we believe in. We have to fight for it.” 14 has moments when life seems too hard moments when we feel like giving up is the only choice. We think that 15 hard we try, we'll never reach our goals and achieve our dreams. It's OK to feel down for a little while, but never never stop 16 . When our dreams die, we die.A wise man once said, “There are 17 stages for a man's growing—knowing that not everyone is just around us and for us; knowing that however hard we try, the goals and dreams seem always far away; knowing that however far away the dreams are, we will still try everything we can. 18 you need to remember one thing-Life is just like riding a bicycle.19 your balance(平衡), you must keep moving. It doesn't matter that you have fallen once or maybe many times. Life goes on! Your biggest enemies are hiding in you—laziness, fear and 20 . You should be a warrior(斗士) of your dreams and goals and fight for them.”11.A.friends B.progress C.notes12.A.come true B.come out C.come up 13.A.angry B.loving C.wild14.A.All B.Nobody C.Everyone 15.A.however B.whenever C.whatever 16.A.running B.fighting C.laughing 17.A.two B.three C.four18.A.So B.Because C.Although19.A.To hold B.To lose C.To keep 20.A.power B.doubt C.happiness三、阅读单选21.What is the name of the panda?A.Mascot.B.Bing Dwen Dwen.C.Shuey Rhon Rhon. 22.The lantern stands for ________.A.health and harvest B.honesty and health C.warmth and lightDo you want to enjoy the beautiful roses while watching fashion shows? Do you want to pick your favorite roses for the people you love? In addition, you can enjoy the delicious23.A couple of 40 years old with their12-year-old twin daughters will go to the Rose Festival. How much will it cost?A.240 yuan.B.160 yuan.C.200 yuan.24.If you want to spend less money, when should you go to the Rose Festival?A.On May 18th.B.On June 1st.C.On June 18th. 25.What can we know from the passage?A.You can pick roses everywhere in the park.B.There are special sightseeing buses in the park.C.You can visit the Rose Festival without your ID card.Have you ever had the strange feeling that you were being watched? You turned around and, sure enough, someone was looking right at you!Parapsychologists(灵学家) say that humans have a natural ability to sense when someone is looking at them. To research whether there is such a “sixth sense”, Robert Baker,a psychologist(心理学家) at the University of Kentucky, did two experiments.In the first one, Baker sat behind unknowing people in public places and stared at the backs of their heads for 5 to 15 minutes. The subjects(受试者) were eating, drinking, reading studying, watching TV, or working at a computer. Baker made sure that the people didn't know that he was sitting behind them during those periods. Later, when he asked the subjects, almost all of them said they had no sense that someone was staring at them.For the second experiment, Baker told the subjects that they would be stared at from time to time from behind a two way mirror in a laboratory. The people had to write down when they felt they were being stared at and when they weren't. Baker found that the subjects were no better at telling when they were stared at and when they weren't.Baker finds out that people do not have the ability to sense when they're being stared at. “If people doubt the outcome of my two experiments,” said Baker, “I suggest they repeat the experiments and see for themselves.”26.What's the purpose of the two experiments?A.To explain when people can have a sixth sense.B.To study whether humans can sense when they are stared atC.To prove why humans have a sixth sense.27.We can know from the two experiments that ________A.Baker did the first experiment in public places.B.Baker did the second experiment for about five to fifteen minutes.C.all the subjects had to write down how they felt when being stared at.28.The underlined word “outcome” can be changed into ________.A.value B.result C.behavior29.What can we learn from the passage?A.The subjects do not have a sixth sense in the experiments.B.People have a sixth sense in all places.C.The experiments support parapsychologists' idea.30.What is the passage mainly about?A.Natural abilities of animals.B.The famous experiments.C.The sixth sense.China's Yangtze River, the world's third longest river, is home to 378 known species(物种) of fish. But the Chinese paddlefish(白鲟), once a common freshwater fish in the river, is no longer a member of it. Although few paddlefish were seen after 1995, they didn'tAccording to a recent study, human activities drove the nearly 200-million-year-old animals to extinction.The Chinese paddlefish, also known as the “panda of Yangtze”, was one of the world's largest freshwater fish species. It could grow as long as 7 meters and weigh up to 450 kilograms.While the Chinese paddlefish was listed as a nationally protected animal in the 1980s, overfishing in the 1970s caused great influence to their population. National Geographic reports that about 25 tons of paddlefish were caught each year during that period. And in 1981, the building of the Gezhouba Dam divided the paddlefish population into two parts, which broke migration patterns(洄游模式) and prevented producing young upstream. This caused the paddlefish to be short of numbers to reproduce.The problem is that more will be like this, but the hope is that in order to save other endangered Yangtze species, many quicker efforts are being made. Also China introduced a 10-year commercial(商业的) fishing ban(禁令) over 300 parts along the Yangtze River in order to protect endangered Yangtze species.31.What does the underlined part “become extinct” mean in Chinese?A.繁殖B.变异C.灭绝32.What DOESN'T the passage mention about the paddlefish?A.Its length.B.Its height.C.Its weight. 33.According to Paragraph 3, what caused the extinction of the paddlefish?A.Humans' overfishing and being separated by a dam.B.Living in a bad environment and being separated by a dam.C.Humans' overfishing and living in a bad environment.34.What can we learn from the last paragraph?A.The commercial fishing ban was made to protect paddlefish only.B.Action is being taken to save freshwater fish species.C.The Chinese paddlefish is the only freshwater fish in the Yangtze River.35.In which part of a newspaper can we see the passage?A.NATURE.B.SCIENCE.C.HISTORY.四、阅读还原5选4Fahd Saleh is a restaurant owner. He is very interested in food and loves his restaurant. It is called Marmar Restaurant and it is in a big city in Saudi Arabia. Everyone enjoys eating his food.After all the people finished eating and left his restaurant each day, he looked in his kitchen. There were always a lot of plates with food on. 36 . Why not? Didn't they like it?The waiters explained that those who came to dinner said they liked the food. They left the food because they had ordered too much. They were full and couldn't eat anything else.37 . The next morning, he wrote a new sign. He put it on the wall in the restaurant. The first people to dinner that day were three men. Before the waiter pointed to the sign, they had ordered four starters, some fish, some meat and rice, and two vegetable dishes. 38 . They ordered three starters, followed by some meat, rice and one dish of vegetables. Why did they do that? Here's the sign:Dear friends,Thank you for eating in Marmar Restaurant. We want to waste less food. So we are asking you to think carefully before you order. Please do not order too much food. 39 .A few months later, there was less waste in Marmar Restaurant, Mr. Saleh was very happy. He said, “People are thinking before they order. Then they eat up what they order.”A.After they read the sign, they changed their order.B.Mr. Saleh decided to do something about it.C.From now on, you have to pay extra (额外的) for food you don’t eat.D.They wanted to have a big meal.E.Most of the people didn’t eat all their food.五、阅读回答问题Many cities around the world today are heavily polluted. Products are not produced in a “green” way. It leads to the new pollution problem. One result is that millions of tons of wastes like glass, paper and plastics are produced. The waste problem is difficult to deal with.However, today, people have realized the importance of buying and using environmentally-friendly products. More and more people are choosing “green” and expecting that the products they buy should be safe for the environment. Before they buy a product, they ask questions like these, “Will this soap be bad for the environment?” “Can this metal container be reused or can it only be used once?”Over 20,000 people took part in a web survey on buying environmentally-friendly products. Among them, 8,129 people say that they now consider the environmental safety of a product before they buy it. That is to say, companies must change the way they make and sell their products to make sure that they are “green”.A few years ago, it was impossible to find green products in supermarkets, but now there are hundreds of them. Some supermarket products carry labels to show that they are green. Some companies have made the clean and safe products. The growing need for a safer and cleaner environment is making companies rethink how they do business of them. The public will no longer accept the old idea of “buy it, use it, throw it away, and forget it.” As a result, the companies have to take action.40.According to the passage, what leads to the new pollution problem?41.In the web survey, what do many people think about before they buy a product?42.How many people took part in the web survey on buying environmentally-friendly products?43.Is it possible to find green products in supermarkets now?44.Why do the companies need to rethink how they do business of them?六、语篇翻译It’s late evening. Sun Run, a 14-year-old from Zhejiang is using her smartphone to doinstructions.These days, it’s not unusual for teachers to give home work on apps. 2. 例如,学生们被要求练习英语或做数学题目。