。。09阅读理解
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专题09阅读理解(七选五)1.语境线索1)词汇重现(以不同词类、词性、数、格、时态、语态等形式出现。
或者以同义词、近义词甚至反义词等形式出现)2)指称(用代词替代前文已出现的人物、事件、物品等,如he,she,they,them)3)逻辑关系词★并列与递进关系:and,or,also,neither…nor…,either…or…,likewise,similarly,equally,in the same way,that is to say,as well as,the same…as,besides,additionally,furthermore,moreover,in addition to,what is more★转折让步关系:but,however,yet,on the contrary,by contrast,on the other hand,unfortunately,while,whereas,unlike,rather than, instead of,it is true that,although,though,even though,even if,nevertheless,despite,in spite of★因果关系:because,for,since,as,thus,hence,therefore,so,so…that,consequently,accordingly,due to,thanks to,as a result, because of,in that,for this reason,of course★顺序关系:afterwards,at first,at last,finally,first,firstly,in the first place,to start with,in the meantime,last,later,next, second,secondly,then,third,thirdly,to begin with★解释关系★因果关系★转折关系2.根据空格所在位置确定不同的解题策略1)如果空格在段首或为段落标题,通常是段落主题句。
江苏省无锡市四年级上册语文期末复习专题:09 阅读理解B卷姓名:________ 班级:________ 成绩:________同学们,经过一段时间的学习,你一定长进不少,让我们好好检验一下自己吧!一、现代文阅读 (共24题;共395分)1. (12分)读一读,并填空。
有两个学生拜秋为师,跟他学下棋。
一个学生专心致志,一边听一边看老师在棋盘上布子,有不明白的地方还要问上几句。
另一个学生呢,听着听着就走了神儿,好像看到一只美丽的天鹅正从远处飞来。
他想,要是用弓箭把它射下来该有多好哇!想着想着,双手不由得做出了拉弓射箭的动作。
老师发现了,提醒他注意听讲。
可他只听了一会儿,又去想别的事了。
(1)用“一边……一边”造句。
(2)找出一个学生专心致志学棋的语句。
(3)另一个学生是怎样学棋的呢?用一个词概括。
2. (19分) (2019四下·武汉月考) 阅读《我家的小园》,回答问题。
我家的小园我家的东南边有一块长方形的小园,里面种着各种蔬(sūshū)菜、花草和树木。
这里年四季都是美丽的。
春天到了,大地像铺上了一条绿毯子,园里一片绿油油。
一群群小鸟停在树枝上,叽叽喳喳地叫个不停。
静静的小园开始热闹(lào nào)起来了。
夏天,成行的向日葵长(zhǎng cháng)得很茁壮,一朵朵金色的花迎着朝阳怒放;火红的石榴花开得十分茂盛,散发出阵阵芳香。
一群群蝴蝶翩翩起舞,纵(zòng zhòng)情欢唱。
一排排玉米威武地挺立着,结出了硕大的玉米棒子。
茄子紫了,西红柿红了,顶花带刺的黄瓜挂满了架。
望着这丰硕的果实,使我感到了小园的可爱。
秋天,喇叭花开了,在绿叶丛中伸出一支支粉红色的小喇叭花,正在为小蜜蜂奏着动听的歌。
石榴树上的石榴熟了,红色的果皮裂开了,露出了珍珠般的颗粒,好像迎着我咧嘴傻笑。
这一切怎能不惹人喜爱?冬天,一场大雪过后,园里的石榴树披上了白雪,残枝披上了白雪,地上也盖上了厚厚的白雪,整个小园成了银装素裹的白色世界。
阅读理解及翻译原文:For hundreds of millions of years, turtles (海龟) have struggled out of the sea to lay their eggs on sandy beaches, long before there were nature documentaries to celebrate them, or GPS satellites and marine biologists to track them, or volunteers to hand-carry the hatchlings (幼龟) down to the water’s edge lest they become disoriented by headlights and crawl towards a motel parking lot instead. A formidable wall of bureaucracy has been erected to protect their prime nesting on the Atlantic coastlines. With all that attention paid to them, you’d think these creatures would at least have the gratitude not to go extinct.But Nature is indifferent to human notions of fairness, and a report by the Fish and Wildlife Service showed a worrisome drop in the populations of several species of North Atlantic turtles, notably loggerheads, which can grow to as much as 400 pounds. The South Florida nesting population, the largest, has declined by 50% in the last decade, according to Elizabeth Griffin, a marine biologist with the environmental group Oceana. The figures prompted Oceana to petition the government to upgrade the level of protection for the North Atlantic loggerheads from “threatened” to “endangered”—meaning they are in danger of disappearing without additional help.Which raises the obvious question: what else do these turtles want from us, anyway? It turns out, according to Griffin, that while we have done a good job of protecting the turtles for the weeks they spend on land (as egg-laying females, as eggs and as hatchlings), we have neglected the years spend in the ocean. “The threat is from commercial fishing,” says Griffin. Trawlers (which drag large nets through the water and along the ocean floor) and long line fishers (which can deploy thousands of hooks on lines that can stretch for miles) take a heavy toll on turtles.Of course, like every other environmental issue today, this is playing out against the background of global warming and human interference with natural ecosystems. The narrow strips of beach on which the turtles lay their eggs are being squeezed on one side by development and on the other by the threat of rising sea levels as the oceans warm. Ultimately we must get a handle on those issues as well, or a creature that outlived the dinosaurs (恐龙) will meet its end at the hands of humans, leaving our descendants to wonder how creature so ugly could have won so much affection.1. We can learn from the first paragraph that ________.A.human activities have changed the way turtles surviveB.efforts have been made to protect turtles from dying outC.government bureaucracy has contributed to turtles’extinctionD.marine biologists are looking for the secret of turtles’reproduction2. What does the author mean by “Nature is indifferent to human notions of fairness”(Line 1, Para. 2)?A.Nature is quite fair regarding the survival of turtles.B.Turtles are by nature indifferent to human activities.C.The course of nature will not be changed by human interference.D.The turtle population has decreased in spite of human protection.3.What constitutes a major threat to the survival of turtles according to Elizabeth Griffin?A.Their inadequate food supply.B.Unregulated commercial fishing.C.Their lower reproductively ability.D.Contamination of sea water4. How does global warming affect the survival of turtles?A.It threatens the sandy beaches on which they lay eggs.B.The changing climate makes it difficult for their eggs to hatch.C.The rising sea levels make it harder for their hatchlings to grow.D.It takes them longer to adapt to the high beach temperature.5. The last sentence of the passage is meant to ________.A.persuade human beings to show more affection for turtlesB.stress that even the most ugly species should be protectedC.call for effective measures to ensure sea turtles’survivalD.warn our descendants about the extinction of species译文:在数亿年前的时间里,海龟一直在挣扎着离开大海到海滩上产卵,很久以前有有自然纪录片来庆祝他们,或GPS卫星和海洋生物学家来跟踪他们,又或者志愿者们用手把幼龟放在海边以避免它们受到光线的影响迷失方向而爬向汽车旅馆的停车场。
2023高考一轮复习天天增分高手训练营现代文阅读专项训练(27-30练)第二十七练训练主题:文学艺术实际用时:分钟现代文阅读Ⅰ(本题共5小题,19分)阅读下面的文字,完成1~5题。
材料一:在《红楼梦》第一回,作者记述了“石头”对空空道人所说的一段话,这段话将自己这部“石头所记”与中国古典小说史上那些“历来野史”“风月笔墨”“才子佳人”“之乎者也”等现象一一对比,反思历来小说之流弊,反复呈示自己的《石头记》“不借此套者,反倒新奇别致,不过只取其事体情理罢了”,叙述“我这半世亲见亲闻”,“至若离合悲欢,兴衰际遇,则又追踪蹑迹,不敢稍加穿凿,徒为供人之目而反失其真传者”等无不在以小说谈小说,以小说省思小说,成为我国古典小说中“元小说”的杰出范本。
不仅如此,在该书第一回中,作者还通过“贾雨村”(假语村言)、甄士隐(真事隐)、空空道人等虚构人物之口,多视角地对小说艺术予以反身批判、自我省思,加重了这部中国古典文学中最伟大的小说之一的“元小说”分量。
就此而言,《红楼梦》尤其是这第一回,显而易见,是一种显性的“元小说”。
我们可做这样一个大胆的假设:整部《红楼梦》并没有第一回中上述这些显性的关于小说的自我指涉、自我呈示,而将这些自我省思的思维成果隐含起来,自觉地贯彻到整个小说的创作过程当中,整个小说在人物塑造、人物关系、结构布局、文学语言等方面保持不变——这样一部并无显性的元小说痕迹的作品,它是否还是一部优秀的小说作品呢?从作者对于小说艺术的自我省思来说,它是否含有元小说的元素呢?这样的一部《红楼梦》尽管没有现在这样显性的元小说叙述方式、更为复杂的嵌套结构,但它仍不失为一部小说杰作,仍与那些“历来野史”“风月笔墨”“才子佳人”“之乎者也”旧式小说形成鲜明的对照。
实际上,在人类艺术史上,并无那种显性的元小说、元艺术之征候的小说作品、艺术作品,可能是更大量的艺术存在。
其中,并不乏真正的小说杰作、艺术杰作。
当我们以艺术之自我指涉、自我省思品格为旨归进行“元艺术”研究时,我认为既要关注那些显性的元艺术现象,更要关注更大量存在着的隐性的元艺术现象。
人教版2022年四年级上册语文期末复习专题:09 阅读理解(I)卷姓名:________ 班级:________ 成绩:________小朋友,带上你一段时间的学习成果,一起来做个自我检测吧,相信你一定是最棒的!一、现代文阅读 (共24题;共395分)1. (12分)按课文《景阳冈》内容填空。
武松见了,叫声:“啊呀!”从青石上翻身下来,把哨棒拿在手里,闪在青石旁边。
那只大虫又饥又渴,把两只前爪在地下按了一按,望上一扑,从半空里蹿下来。
武松吃那一惊,酒都变做冷汗出了。
说时迟,那时快,武松见大虫扑来,一闪,闪在大虫背后。
大虫背后看人最难,就把前爪搭在地下,把腰胯一掀。
武松一闪,又闪在一边。
大虫见掀他不着,吼一声,就像半天里起了个霹雳,震得那山冈也动了,接着把铁棒似的虎尾倒竖起来一剪。
武松一闪,又闪在一边。
(1)老虎咬人有哪三招?(2)在文中找出武松沉着应战的动作,并说说从中感受到武松的什么特点。
(3)抄写文中一个打比方的句子:________ 。
这句话________ 比作________ 。
2. (19分)阅读短文,回答问题。
观“画”秋天像童话里一位美丽的仙女,悄悄地走进了这个五彩缤纷的大世界。
早晨,我坐在窗前全神贯注地欣赏着那神奇而又美丽的“画”。
瓦蓝瓦蓝的天空像一面无边无际的大镜子。
如烟似雾的云从天空慢慢飘过,几乎不(留流)一点儿痕迹。
忽然,我欣喜地发现天空出现了一个黑色的字。
是“一”字,不,是“人”字,是一群大雁整齐地排着队向南方飞去。
啊,“画”中的天空充满着勃勃生机!一棵棵树都经不住秋天的考验,一片片黄叶(旋悬)挂在树上,一阵风拂过,黄叶打着旋儿,从树上纷纷落下,我还以为是一群黄蝴蝶飞来了。
弯曲得很古怪的枝干上,偶尔有一两只鸟停在那里,好久好久,一动不动,衬着碧蓝的天空像一幅古画。
最引人注目的是松树,它穿着碧绿的衣裳、仍然昂首挺胸立在那儿活像一名全(副附)武装的士兵,花儿弯着腰垂头丧气、等待着来年春天给它们新的力量与生命。
阅读通关09 名著阅读一、阅读下面的名著节选,完成后面的小题。
他把骆驼拉了起来。
对待骆驼的方法,他不大晓得,可是他不怕它们,因为来自乡间,他敢挨近牲口们。
骆驼们很慢很慢的立起来,他顾不得细调查它们是不是都在一块儿拴着,觉到可以拉着走了,他便迈开了步,不管是拉起来一个,还是全“把儿”。
一迈步,他后悔了。
骆驼——在口内负重惯了的——是走不快的。
不但是得慢走,还须极小心的慢走,骆驼怕滑;一汪儿水,一片儿泥,都可以教它们劈了腿,或折扭了膝。
骆驼的价值全在四条腿上;腿一完,全完!而祥子是想逃命呀!可是,他不肯再放下它们。
一切都交给天了,白得来的骆驼是不能放手的!因拉惯了车,祥子很有些辨别方向的能力。
虽然如此,他现在心中可有点乱。
当他找到骆驼们的时候,他的心似乎全放在它们身上了;及至把它们拉起来,他弄不清哪儿是哪儿了,天是那么黑,心中是那么急,即使他会看看星,调一调方向,他也不敢从容的去这么办;星星们——在他眼中——好似比他还着急,你碰我,我碰你的在黑空中乱动。
祥子不敢再看天上。
他低着头,心里急而脚步不敢放快的往前走。
他想起了这个:既是拉着骆驼,便须顺着大道走,不能再沿着山坡儿。
由磨石口——假如这是磨石口——到黄村,是条直路。
这既是走骆驼的大路,而且一点不绕远儿。
“不绕远儿”在一个洋车夫心里有很大的价值。
不过,这条路上没有遮掩!万一再遇上兵呢?即使遇不上大兵,他自己那身破军衣,脸上的泥,与那一脑袋的长头发,能使人相信他是个拉骆驼的吗?不象,绝不象个拉骆驼的!倒很象个逃兵!逃兵,被官中拿去还倒是小事;教村中的人们捉住,至少是活埋!想到这儿,他哆嗦起来,背后骆驼蹄子噗噗轻响猛然吓了他一跳。
他要打算逃命,还是得放弃这几个累赘。
可是到底不肯撒手骆驼鼻子上的那条绳子。
走吧,走,走到哪里算哪里,遇见什么说什么;活了呢,赚几条牲口;死了呢,认命!1.请用简洁的语言概括选文的主要内容。
2.选文心理描写细腻形象。
请任选一处,分析其表达效果。
备战2023中考英语阅读理解热点话题分类训练(中考真题+名校最新模拟真题)专题09 外卖订餐(2022·山东日照·中考真题)After work, you go back home, open an app, place your order, and wait for your food to be delivered (投递) your home. This is how many young people eat in China these days. According to the latest report from the China Internet Network Information Center. 421 million Chinese people use online food delivery services. That’s just half of the total number of Internet users in China.Which group of people is ordering food online the most? For sure, it is mainly young people. A recent report by Meituan, a food delivery service, showed that 86.3% of the service’s users are between 20 and 34 years old. These people are the main force driving the development of the food delivery industry.Small families depend largely on food delivery services, Chinese families have changed in size over the past ten years. In 2002, only 7.7% of families have only one person. But this number increased to 15.6% in 2017. Two-person families rose from 18.4% in 2002 to 27.2% in 2017. For small families, cooking always takes a lot of time and energy, so ordering food online has become more popular.The improvement of China’s food delivery services has also made more customers interested. According to Meituan’s report, the average (平均) time it takes to make a food delivery dropped from 38 minutes in 2016 to 29 minutes in 2020. Many delivery apps are also offering more services, delivering products such as fruit, vegetables, medicine and even flowers. As their services continue to improve, it’s certain that the food delivery industry will keep growing in the future.1.The writer introduces the topic by _________.A.giving an example B.telling a storyC.making a comparison D.answering a question2.What’s the main idea of Paragraph 2?A.86.3% of Internet users order food online.B.Food delivery has developed rapidly.C.Food delivery is popular with young people.D.Most Internet users like to order food on Meituan.3.Why has ordering food online become more popular?A.People are lazier than before.B.People aren’t good at cooking.C.Families prefer different food.D.Families are becoming smaller.4.What does the writer think of the food delivery industry?A.It will be growing well.B.Its service badly needs improving.C.It shouldn’t offer other services.D.Its development will slow down.(2021·山东滨州·中考真题)It seems that food deliverymen (送货员) are always rushing in haste. We can always see them running every minute, and they seem to have lots of things to do the next minute. They wear blue, red or yellow helmets (头盔) and many of them don’t follow traffic rules. They drive on the wrong side of the road and run red lights. They use mobile phones when they are driving.However, not everything goes well with food deliverymen. In the first half of 2017, food deliverymen had 76 traffic accidents in Shanghai. That means every two and a half days, a food deliveryman will die or get hurt on the road.What makes deliverymen take such risks? The strict rules of the food delivery companies and the worried customers may be the answer. Many companies will fine (罚款) a deliveryman up to 2,000 yuan if he can’t deliver the food on time, reported China Daily. Fines also go to those who get bad reviews from customers.To solve the problem, food delivery service companies need to do some changes. Some cities are also taking action. Shanghai has asked companies to train their deliverymen on traffic rules and safety. Now in Shenzhen, if a deliveryman breaks traffic rules more than twice, then he can’t do the job for a whole year.5.The underlined phrase “in haste” in Paragraph 1 probably means ______ in Chinese.A.匆忙地B.慢慢地C.意外地D.犹豫地6.The first paragraph mainly tells us that many food deliverymen ______.A.work very hard B.break traffic rulesC.are good at driving D.use mobile phones too much7.How many reasons are mentioned for deliverymen’s taking risks of breaking traffic rules?A.Two.B.Three.C.Four.D.Five.8.If a food deliveryman ______, the companies will fine him.A.drives too slowly B.delivers food on timeC.obeys traffic rules D.gets bad reviews from his customers9.What is the main idea of the last paragraph?A.Traffic rules are too strict to deliverymen.B.Food deliverymen cannot drive on important roads in the future.C.Some cities are working to solve the problem and make things better.D.All the companies in China train their deliverymen on traffic rules and safety.(2022·内蒙古北方重工业集团有限公司第一中学三模)Ordering food has never become easier. All you need to do is just open an app, place your order, and wait for your food to be delivered(递送)to your home—thisis how people eat in China these days. According to the latest report from the China Internet Information Center, 421 million Chinese people use online food delivery services. That’s half of the total number of Internet users in China._________. Unsurprisingly, it’s mainly young people. A recent report from Meituan, a food delivery service, showed that 86.3 percent of the service’s users are between 20 and 34 years old. These people are the main force making the development of the food delivery industry(行业).Small families depend greatly on food delivery services. According to the National Bureau of Statistics, Chinese families have changed in size over the past ten years. In 2004, only 7.7 percent of people lived alone. But this number added up to 15.6 percent in 2019. For small families, cooking takes more time, so ordering food online has become more popular.The improvement of China’s food delivery services has also attracted more customers. According to Meituan’s report, the time it takes to make a food delivery dropped from 38 minutes in 2016 to 29 minutes in 2019. Meituan is also offering more services, delivering products such as fruit, vegetables, medicine and flowers. As its services improve, it’s likely that the food delivery industry will keep growing.10.According to the passage, how many Internet users are there in China?A.210.5 million.B.222 million C.421 million.D.842 million.11.Choose the best sentence to fill in the blank"_________"in Paragraph 2.A.Who is ordering food online the most?B.Who is delivering the food to your home?C.What's the most popular food delivery app?D.How old are the users of food delivery services? 12.What can we learn from Paragraph 3 and 4?A.Fewer people lived alone in China in 2019.B.The food delivery industry has many problems.C.Food delivery takes longer because of more customers.D.Small families make food delivery service more popular.13.What is the passage mainly about?A.The changed world.B.A food ordering app.C.The food delivery industry.D.Young people’s eating habits.(2022·河北保定·一模)Open an app, place your order, and wait for your food to be delivered (递送) to your home—this is how many people eat in China these days. According to the latest data (数据), about 421 million Chinese people use online food delivery services. That’s equal to half of the total number of Internet users in China.Which group of people is ordering food online the most nowadays? Unsurprisingly, it’s mainly young people.A recent report showed that 86.3 percent of the service’s users are between 20 and 34 years old. These people, whoare more likely (可能的) to live in small families, are the major force (力量) driving the development of the food delivery industry.Small families depend greatly on food delivery services. According to the National Bureau of Statistics, Chinese families have changed in size over the past decade. In 2002, only 7.7 percent of families were single-person house holds. But this number increased to 15.6 percent in 2017. The percentage of two-person families rose from 18.4 in 2002 to 27.2 in 2017. For small families, cooking is relatively (相对) more time-consuming, so ordering food online has become more popular.The improvement of China’s food delivery services has also attracted more customers. According to Meituan’s report, the average time it takes to make a food delivery dropped from 38 minutes in 2016 to 29 minutes in 2019. Many delivery platforms are also offering more services, delivering products such as fruit, vegetables, medicine and flowers. As its services continue to improve, it’s likely that the food delivery industry will keep growing. 14.How many Chinese people are ordering food online these days?A.About 421 million.B.Half of 421 million.C.About 363 million.D.Less than 210 million.15.What can we infer from the last sentence of the passage?A.The food delivery industry has a bright future.B.All kinds of things can be delivered quickly.C.Chinese families prefer to order food online.D.Food delivery services have improved completely.16.The passage is mainly about ________.A.a food ordering app B.the food delivery industryC.single-person families D.young people’s eating habits(2022·湖南长沙·模拟预测)After work, you go back home, open an app, place your order, and wait for your food to be delivered to your home. This is how many young people eat in China these days. According to the latest report from the China Internet Network Information Center, 421 million Chinese people use online food delivery services. That’s equal to half of the total number of Internet users in China.Which group of people is ordering food online the most? For sure, it is mainly young people. A recent report that was published by the China Hospitality Association and Meituan, a food delivery service, showed that 86.3 percent of the service’s users are between 20 and 34 years old. These people, are the main force driving the development of the food delivery industry.Small families rely largely on food delivery services. According to the National Bureau Statistics, Chinese families have changed in size over the past ten years. In 2002, only 7.7 percent of families have only one person. But this number increased to 15.6 percent in 2017. The percentage of two-person families rose from 18.4 in 2002to 27.2 in 2017. For small families, cooking always takes a lot of time and energy, so ordering food online has become more popular.The improvement of China’s food delivery services has also made more customers interested. According to Meituan’s report, the average(平均的) time it takes to make a food delivery dropped from 38 minutes in 2016 to 29 minutes in 2020. Many delivery platforms are also offering more services, delivering products such as fruit, vegetables, medicine and even flowers. As their services continue to improve, it’s certain that the food delivery industry will keep growing in the future.17.The writer leads into the topic by ________.A.giving an example B.telling a story C.making a comparison18.What’s the main idea of Paragraph 2?A.Food delivery has developed rapidly.B.Food delivery is popular with young peopleC.More and more people will live in small families.19.The underlined word “rely” in the passage has the same meaning as “________”.A.work B.come C.depend20.According to the Paragraph 4, more people are interested in China’s food delivery services because of ________.(1) varied products(2) the terrible weather(3) deliverymen’s kindness(4) the fast speed of deliveryA.(1)(4)B.(3)(4)C.(2)(3)21.What’s the best title for this passage?A.China’s food delivery industry is growingB.Fewer people in China like home cookingC.The number of Internet users in China is rising(2021·浙江·模拟预测)During the COVID-19 pandemic, technologies are playing an important role in a time of quarantines(隔离). And these technologies may have a long-lasting influence beyond COVID-19.Online shopping and robot deliveriesCOVID-19 has changed online shopping from a nice-to-have to a must-have around the world. Some bars in Beijing have even continued to offer happy hours through online orders and delivery.In-person delivery is not safe. Many delivery companies and restaurants in the US and China are offering contactless delivery services where goods are picked up and dropped off from a safe distance rather than from or into the hands of a person.Digital and contactless paymentsCash might carry the virus, so central banks in China, US and South Korea have taken measures to ensure banknotes are clean before they go into circulation(流通). Now, Digital payments make it much faster and easier to pay online.However, according to the World Bank, there are more than 1.7 billion un-banked people, who may have difficulty in paying online. As we know, digital payments also depend on the Internet.Distance learningAs of mid-April, in 191 countries, many schools and universities started offering courses online to ensure education was not stopped by quarantine measures. Virtual reality, 3D printing and AI robot teachers are three main kinds of technologies of distance learning.However, distance learning could also create economic pressure on _________—especially women—who need to stay at home to watch their children and may face loss of work.22.The word “contactless” in Paragraph 3 is opposite to _________.A.in-person B.distant C.digital D.separated23.According to the last paragraph, which of the following can be fit in “_________”?A.teachers B.parents C.scientists D.bankers24.From the two paragraphs beginning with “However”, the writer shows _________ about these technologies. A.anger B.worries C.expectations D.interests25.All the technologies mentioned above have a great effect on _________ during the COVID-19 pandemic. A.digital payment B.online shoppingC.people’s daily life D.students’ learning(2022·吉林·长春市净月实验中学模拟预测)Do you love fast food? Why? How often do you eat it? 200 people joined our survey. And here is the result.Chart 1: How often do you eat fast food?Chart 2: Why do you love fast food?26.________ of the people eat fast food once a week.A.14%B.28%C.8%D.44%27.6% of the people eat fast food ________.A.twice a week B.three times a week C.more than three times a week D.every day28.44 people love fast food because it's ________.A.cheap B.delicious C.healthy D.convenient29.________ of the people like fast food because they can take it away.A.12%B.14%C.22%D.24%30.What can we learn from the result?A.All people love fast food.B.Fast food makes people fat.C.People eat fast food on weekends.D.Some people don't know what food is healthier.(2022·广东·二模)Isn’t fast food delicious? Aren’t fast food restaurants cool? ... The answer to these questions is yes.However, there are growing facts that fast food is one of the worst parts of modern life. And studies have shown that burgers and fried chicken, which we enjoy so much, can cause a lot of health problems.In spite of (尽管) this, why are fast food restaurants so attractive(吸引人的)? The first and most important reason is that their service is fast. Their staff(员工) are friendly and very smart-looking in their clean and bright uniforms(制服). Moreover, most fast food restaurants are near places that people always pass by. It is so easy to grab a burger and eat on the way to work.Fast food is often so conveniently packed(包装方便) that it will not cause a mess even if you stand and eat it. Fast food restaurants are also very clean. A lot of clever ads(广告) have made them the coolest places in town, but none of them has ever told and will never tell you that too much fast food is not good for your health.Such attractive places are selling junk food! Isn’t it a pity? Is there a way to change the fast food restaurants into special places where you get the best possible, healthy and fresh food?Well, why not?As people realize the health problems that fast food causes, it is quite likely that fast food restaurants may go out of date. It may happen sooner or later.Therefore, instead of resisting(抵制) fast food restaurants, a better idea may be to persuade(说服) them to change their menu! Fast food restaurants can be places to go to when you want to eat something that will be good for your body. If they could combine(结合) healthy food with their speed of service, delicious tastes and comfortable feelings, that will be the next best thing on the earth for the human beings!31.What does “this” in Paragraph 2 refer to?A.Fast food is delicious.B.Fast food restaurants are cool.C.People enjoy fast food.D.Fast food can cause health problems.32.Fast food has many advantages EXCEPT that it’s ________.A.delicious B.fastC.healthy D.unhealthy33.Which word can replace the word “grab” in Paragraph 3?A.move suddenly B.get quicklyC.throw quickly D.carry carefully34.According to the passage, ads about fast food ________.A.show you all the facts B.don’t tell you the whole truthC.make it hard to buy fast food D.make fast food restaurants out of date35.The author advises ________.A.making the service of fast food faster B.resisting fast food restaurantsC.changing tastes of fast food D.making fast food good for health参考答案:1.A2.C3.D4.A【导语】本文主要向大家介绍了中国的食品配送行业的相关情况。
专题09阅读理解“预测下段”题(考情+技法+真题+模拟)解析版养成良好的答题习惯,是决定高考英语成败的决定性因素之一。
做题前,要认真阅读题目要求、题干和选项,并对答案内容作出合理预测;答题时,切忌跟着感觉走,最好按照题目序号来做,不会的或存在疑问的,要做好标记,要善于发现,找到题目的题眼所在,规范答题,书写工整;答题完毕时,要认真检查,查漏补缺,纠正错误。
【近年高考考情】1.(2023·全国乙卷·C篇)31题2.(2011·安徽·高考真题·B篇)63题3.(2010·湖北·高考真题·B篇)58题【实用解题妙招】一、设问方式1. What will be talked about if this passage continues?2. What might be discussed in the following paragraph?3. What would the author probably discuss in the paragraph that follows?二、实用妙招考生在阅读全文基础上,“预测下段”类试题应注意以下两点策略:1. 从最后一段入手。
有时候,作者在最后一段提到一个话题,但是没有充分说明,因此需要在下一段就此问题深入分析、论述或讨论。
所以考生学会依据最后一段甚至最后一句话进行推断也不失为明智选择。
2. 从第一段入手。
实用类说明文往往采用“总分”或者“总分总”结构,即第一段总体概况说明,然后分段阐述。
因此只要考生把握好第一段即主题段内容,顺藤摸瓜,即可推断下段内容应该是主题段中尚未提及的内容。
【高考真题再练】1.(2023全国乙卷C篇)What comes into your mind when you think of British food? Probably fish and chips, or a Sunday dinner of meat and two vegetables. But is British food really so uninteresting? Even though Britain has a reputation for less-than-impressive cuisine, it is producing more top class chefs who appear frequently on our television screens and whose recipe books frequently top the best seller lists.It’s thanks to these TV chefs rather than any advertising campaign that Britons are turning away from meat-and-two-veg and ready-made meals and becoming more adventurous in their cooking habits. It is recently reported that the number of those sticking to a traditional diet is slowly declining and around half of Britain’s consumers would like to change or improve their cooking in some way. There has been a rise in the number of students applying for food courses at UK universities and colleges. It seems that TV programmes have helped change what people think about cooking.According to a new study from market analysts, 1 in 5 Britons say that watching cookery programmes on TV has encouraged them to try different food. Almost one third say they now use a wider variety of ingredients (配料) than they used to, and just under 1 in 4 say they now buy better quality ingredients than before. One in four adults say that TV chefs have made them much more confident about expanding their cookery knowledge and skills, and young people are also getting more interested in cooking. The UK’s obsession (痴迷) with food is reflected through television scheduling. Cookery shows and documentaries about food are broadcast more often than before. With an increasing number of male chefs on TV, it’s no longer “uncool” for boys to like cooking.28. What do people usually think of British food?A. It is simple and plain.B. It is rich in nutrition.C. It lacks authentic tastes.D. It deserves a high reputation.29. Which best describes cookery programme on British TV?A. Authoritative.B. Creative.C. Profitable.D. Influential.30. Which is the percentage of the people using more diverse ingredients now?A. 20%.B. 24%.C. 25%.D. 33%.31. What might the author continue talking about?A. The art of cooking in other countries.B. Male chefs on TV programmes.C. Table manners in the UK.D. Studies of big eaters.【答案】28. A 29. D 30. D 31. B【导语】本篇是一篇说明文,介绍英国人在英国烹饪节目的影响下改变对烹饪的看法,并尝试新的烹饪习惯。
江西省三年级上册语文期中复习专题:09 阅读理解A卷一、现代文阅读 (共30题;共462分)1. (23分)现代文阅读读书胜过吃饭的人伟大的革命先行者孙中山先生,每天不忘记读书。
他说:“我一生的嗜好,除了革命之外,就是爱读书。
我一天不读书,便不能生活。
”在流亡国外的旅途中,他的行囊总是鼓鼓的,人们还以为他是个富豪。
谁知,行囊里装得最多的是出版的书。
在伦敦时,他经常到英国博物馆的图书室里去读书。
疲倦了,就伏在桌子上歇一会儿,醒来后又捧起了书本。
有一次,孙中山发现自己吃饭的钱快用完了,一些在伦敦的中国留学生知道后就凑了些钱给他。
隔了几天,留学生们去看他,一推门就看见满桌都是书。
有人问他:“上次给你吃饭的钱大概都花在买书上了吧?”孙中山笑着点点头说:“是的,不过还留着一点儿,已经够吃饭了。
”于是,大家都称孙中山是“读书胜过吃饭的人”。
(1)给下列字注上拼音。
嗜________ 囊________ 歇________(2)联系上下文理解下列词语。
流亡:________嗜好:________疲倦:________(3)给下列字注上拼音。
嗜________ 囊________ 歇________(4)短文写了________先生的一些琐事。
他一生的嗜好,一是________,二是________。
(5)给下列字注上拼音。
嗜________ 囊________ 歇________(6)联系上下文理解下列词语。
流亡:________嗜好:________疲倦:________(7)联系上下文理解下列词语。
流亡:________嗜好:________疲倦:________(8)人们为什么称孙中山先生为“读书胜过吃饭的人”?________(9)短文写了________先生的一些琐事。
他一生的嗜好,一是________,二是________。
(10)短文写了________先生的一些琐事。
他一生的嗜好,一是________,二是________。
2019年高考英语母题题源系列专题09阅读七选五(记叙文)【母题来源一】【2019·北京卷】根据短文内容,从短文后的选项中选出能填入空白处的最佳选项。
选项中有两项为多余选项。
Much of the work in today’s world is accomplished(完成)in teams.Most people believe the best way to build a great team is to gather a group of the most talented individuals._____46_____Companies spend millions hiring top business people.Is their money well spent?___47___They focused on football,basketball and baseball.The results are mixed For football and basketball,adding talented players to a team proves a good method,but only up to the point where70%of the players are top talent;above that level,the team’s performance begins to decline.Interestingly,this trend isn’t evident in baseball. where additional individual talent keeps improving the team’s performance.To explain this phenomenon,the researchers explored the degree to which a good performance by a team requires its members to coordinate(协调)their actions.______48______In baseball,the performance of individual players is less dependent on teammates.They conclude that when task interdependence is high,team performance will suffer when there is too much talent,while individual talent will have positive effects on team performance when task interdependence is lower.If a basketball star is.for example,trying to gain a high personal point total,he may take a shot himself when it would be better to pass the ball to a teammate,affecting the team's performance. Young children learning to play team sports are often told,“There is no I in TEAM.”___49___ Another possibility is that when there is a lot of talent on a team,some players may make less effort.Just as in a game of tug-of-war(拔河比赛),whenever a person is added,everyone else pulls the rope with less force.___50___.An A-team may require a balance-not just A players,but a few generous B players as well.A.It's not a simple matter to determine the nature of talent.B.Sports team owners spend millions of dollars attracting top talentC.The group interaction and its effect drew the researchers'attention.D.Stars apparently do not follow this basic principle of sportsmanship.E.Several recent studies examined the role of talent in the sports world.F.Building up a dream team is more complex than simply hiring the best talent.G.This task interdependence distinguishes baseball from football and basketball.【语篇解读】这是一篇夹叙夹议的文章。
图3lCAB P A 'D(09昌一)请阅读下列材料:问题:如图1,点,A B 在直线l 的同侧,在直线l 上找一点P ,使得AP BP +的值最小. 小明的思路是:如图2,作点A 关于直线l 的对称点A ',连接A B ',则A B '与直线l 的交点P 即为所求.All图2图1B请你参考小明同学的思路,探究并解决下列问题: (1)如图3,在图2的基础上,设AA '与直线l 的交点为C ,过点B 作BD ⊥l ,垂足为D . 若1CP =,2PD =,1AC =,写出AP BP +的值;(2)将(1)中的条件“1AC =”去掉,换成“4BD AC =-”,其它条件不变,写出此时AP BP +的值; (3)请结合图形,直接写出..解:(1)AP BP +的值为 ····················································································· 2分 (2)AP BP +的值为5. ····································································································· 3分 (3················································ 4分 (09石一)在数学小组活动中,小聪同学出了这样一道“对称跳棋”题:如图,在作业本上画一条直线l ,在直线l 两边各放一粒跳棋子A 、B ,使线段AB 长a 厘米,并关于直线l 对称,在图中1P 处有一粒跳棋子,1P 距A 点b 厘米、与直线l 的距离c 厘米,按以下程序起跳:第1次,从1P 点以A 为对称中心跳至2P 点;第2次,从2P 点以l 为对称轴跳至3P 点;第3次,从3P 点以B 为对称中心跳至4P 点;第4次,从4P 点以l 为对称轴跳至1P 点.(1)画出跳棋子这4次跳过的路径并标注出各点字母(画图工具不限); (2)棋子按上述程序跳跃15次后停下,假设8=a ,6=b ,3=c ,计算这时它与点A 的距离.解:(1)跳棋子跳过路径及各点字母如图. ………………3分 (2)跳跃15次后,停在4P处,过4P 作⊥C P 4AB ,垂足为C 点,第22题第22题则C P 435136=-=;由7=AC ,∴ A P 4212844935==+=.…………………………………5分两个全等的三角形ABC 和DEF 重叠在一起,△ABC 的面积为3,且AB CB =. 固定△ABC 不动,将△DEF 进行如下操作:(1) 如图①,△DEF 沿线段AB 向右平移(即D 点在线段AB 内移动),连结DC 、CF 、FB ,四边形CDBF 的形状在不断的变化,但它的面积不变化,请求出其面积;(2)如图②,当D 点B 向右平移到B 点时,试判断CE 与BF 的位置关系,并说明理由; (3)在(2)的条件下,若15AEC ∠=︒,求AB 的长.A E DA E图① 图② (1)设△ABC 的高为h ,由题意,知 CF AD = ∴S 梯形CDBF =111()()222CF BD h AD DB h AB h +=+=⋅=S △ABC =3 (2)由题意,知,,CF BE CF BE =CBEF ∴四边形为平行四边形.,BC BE CBEF =∴ 为菱形.CE BF ∴⊥(3),BC BE = 230ABC AEC ∠=∠=︒, 如图,作CG AB G ⊥于,则1122CG BC AB ==. 由211324ABC S CGAB AB =⋅== ,解得AB =(09房一)我们给出如下定义:若一个四边形中存在相邻两边的平方和等于一条对角线的平方,则称这个四边形为勾股四边形,这两条相邻的边称为这个四边形的勾股边.(1)写出你所学过的特殊四边形中是勾股四边形的两种 图形的名称 、 ;(2) 如图,已知格点(小正方形的顶点),O (0,0),A (3,0),B(0,4)请你画出以格点为顶点,OA ,OB 为勾股边且对角线相等的勾股四边形OAMB.G A(1)正方形、矩形、直角梯形.(任选两个均可)(填正确一个得1分) (2)答案如图所示.M (3,4)或M (4,3)(没有写出坐标不扣分,画对一个得1分)(09海一)我们给出如下定义:如果四边形中一对顶点到另一对顶点所连对角线的距离相等,则把这对顶点叫做这个 四边形的一对等高点.例如:如图1,平行四边形ABCD 中,可证点A 、C 到BD 的距离相等,所以点A 、C 是 平行四边形ABCD 的一对等高点,同理可知点B 、D也是平行四边形ABCD 的一对等高点. 图1(1)如图2,已知平行四边形ABCD , 请你在图2中画出一个只有一对等高点的四边形ABCE (要求:画出必要的辅助线);(2)已知P 是四边形ABCD 对角线BD 上任意一点(不与B 、D 点重合),请分别探究图3、图4中S 1, S 2, S 3, S 4四者之间的等量关系(S 1, S 2, S 3, S 4分别表示△ABP , △CBP , △CDP , △ADP 的面积):① 如图3,当四边形ABCD 只有一对等高点A 、C 时,你得到的一个结论是 ; ② 如图4,当四边形ABCD 没有等高点时,你得到的一个结论是 .图2 图3 图4.解:(1)比如:或 1分(2)①S 1 +S 4 = S 2 +S 3, S 1 +S 3 = S 2 +S 4或S 1⋅S 3 = S 2⋅S 4或3241S S S S =等. ……………2分 ②S 1⋅S 3 = S 2⋅S 4或3421S S S S =等. ……………………………………………4分(09密一)如图4所示,直线12l l ⊥,垂足为点o ,A 、B 是直线1lA BC D S 2S 1S 4S 3S 4S 3S 2A B C P D A B C P D S 1EA BCD图4上的两点,且OB=2,1l 绕点O 按逆时针 方向旋转,旋转角度为α(0180)α︒<<︒。
(1) 当α=60︒时,在直线2l 上找点P ,使得∆BPA 是以∠B 为顶角的等腰三角形,此时OP= ;(2) 当α在什么范围内变化时,直线2l 上存在点P ,使得∆BPA 是以B ∠为顶角的等腰三角形,请用不等式表示α的取值范围:.(1 ………………………………………….. 2分(2)45︒90α≤<︒或90135.α︒<≤︒………………………..5分(09房二)如图所示,在平面直角坐标系xoy 中,四边形OABC 是正方形,点A 的坐标为(m ,0).将正方形OABC 绕点O 逆时针旋转α角,得到正方形ODEF ,DE 与边BC 交于点M,且点M 与B 、C 不重合.(1)请判断线段CD 与OM 的位置关系,其位置关系 是 ;(2)试用含m 和α的代数式表示线段CM 的长: ;α的取值范围是 .(1)垂直(CD ⊥OM ) ----------------------2分(2)CM=290tan α-⋅ m ; --------------------------3分900<<α -----------------------------------4分(09延一)如图1,把一张标准纸一次又一次对开,得到“2开”纸、“4开”纸、“8开”纸、“16开”纸….已知标准纸...的短边长为a .(1)如图2,把这张标准纸对开得到的“16 开”纸按如下步骤折叠:第一步:将矩形的短边AB 与长边AD 对齐折叠,点B 落在AD 上的点B '处,图2C AEBDF铺平后 得折痕AE ;第二步:将长边AD 与折痕AE 对齐折叠,点D 正好与点E 重合,铺平后得折痕AF .则:AD AB 的值是 .(2)求“2开”纸长与宽的比__________. (3)如图3,由8个大小相等的小正方形构成“L ”型图案,它的四个顶点E F G H,,,分别在“16开”纸的边AB BC CD DA ,,,上,求DG 的长.解:(11分(2分(3)设DG x =,在矩形ABCD 中,90B C D ∠=∠=∠=,90HGF ∠= ,90DHG CGF DGH ∴∠=∠=-∠ ,HDG GCF ∴△∽△,12DG HG CF GF ∴==,22CF DG x ∴==…………………………………………………………………3分 同理BEF CFG ∠=∠.EF FG = ,FBE GCF ∴△≌△,14BF CG a x ∴==-CF BF BC +=,1244x a x a ∴+-=,解得14x a =.即14DG a = ------------------------------------------------------------4分(09丰二)操作:如图1,点O 为线段MN 的中点,直线PQ 与MN 相交于点O ,请利用图1画出一对以点O 为对称中心的全等三角形.探究:如图2,在四边形ABCD 中,AB ∥DC ,E 为BC 边的中点,BAE EAF ∠=∠,AF 与DC 的延长线相交于点F .试探究线段AB 与AF FC 、之间的等量关系,并证明你的结论.A B C D BC A DEGHFEB ' 4开 2开 8开16图1 图2 图3 (第22题) a 图1QP O N M解:(1)画图正确给1分.(2)结论:AB =AF +FC ,正确给1分;证明过程4分,具体如下:证明:延长AE 交DF 的延长线于点M ,∵E 为BC 的中点,∴BE =CE ,∵AB ∥CD ,∴∠BAE =∠M , ………1分∵∠AEB =∠MEC ,∴△ABE ≌△MCE ,∴AB =MC , …………………………2分 ∵∠BAE =∠EAF ,∴∠EAF =∠M. ∴MF =AF ,………………………………3分 ∵MC =MF +CF ,∴AB =AF +FC . ……………………………………4分(09怀二)取一张矩形纸片进行折叠,具体操作过程如下:第一步:先把矩形ABCD 对折,折痕为MN ,如图1;第二步:再把B 点叠在折痕线MN 上,折痕为AE ,点B 在MN 上的对应点为B ',得R t △A B 'E ,如图2;第三步:沿EB '线折叠得折痕EF ,使A 点落在EC 的延长线上,如图3.利用展开图4探究:(1)△AEF 是什么三角形?证明你的结论;(2)对于任一矩形,按照上述方法能否折出这种三角形?请说明你的理由. 解:解:(1)△AEF 是等边三角形.由折叠过程可得:60BEA AEF FEC ∠=∠=∠=︒. ∵BC ∥AD ,∴60AFE FEC ∠=∠=︒. ∴△AEF 是等边三角形. (2)不一定.当矩形的长恰好等于等边△AEF 的边AF 时,即矩形的宽∶长=AB ∶AF =sin60°=2:3时正好能折出. 如果设矩形的长为a ,宽为b , 可知当a b 23≤时,按此种方法一定能折叠出等边三角形; 当a b a <<23时,按此法无法折出完整的等边三角形.(09门二)已知:如图,在直角梯形ABCD 中,AD ∥BC ,BC =5,CD =6,∠DCB =60°,∠ABC =90°.等边三角形MPN (N 为不动点)的边长为a ,边MN 和直角梯形ABCD 的底边BC 都在直线l 上,NC =8.将直角梯形ABCD 向左翻折180°,翻折一次得到图形①,翻折二次得到图形②,如此翻折下去. (1) 求直角梯形ABCD 的面积;(2) 将直角梯形ABCD 向左翻折二次,如果此时等边三角形的边长a ≥2,请直接写M C A E B DF图 1 图2 图3图4出这时两图形重叠部分的面积是多少?(3) 将直角梯形ABCD 向左翻折三次,如果第三次翻折得到的直角梯形与等边三角形重叠部分的面积等于直角梯形ABCD 的面积,请直接写出这时等边三角形的边长a 至少应为多少?PNM DC BAl21解:(1)如图,过点D 作DE ⊥BC 于点E . ∠ABC =90°, ∴AB DE ∥. 又 AD BC ∥,∴四边形ABED 是矩形. ∴AD =BE .在R t △DEC 中,∠DCB =60°,∴DE = DC •sin60°=61分CE = DC ·cos60°=6×12=3.∴AD =BE =BC -CE =5-3=2.………………………………2分∴直角梯形ABCD 的面积=11()(25)22AD BC DE +⋅=+⋅3分(2………………………………………………4分(3)等边三角形的边长a 至少为10.……………………………………5分(09密二)如图,在平面直角坐标系中,直线l(1) 由图观察易知A (0,2)关于直线l 的对称点A '的坐标为(2,0)请在图中分别标明B (5,3) 、C (-2,5) 关于直线l 的对称点B '、C '的位置,并写出他们的坐标: B ' 、 C ' ;(2) 结合图形观察以上三组点的坐标,你会发现:坐标平面内任 一点P (a ,b )关于第一、三象限的角平分线l 的对称点P ' 的坐标为 (不必证明);(3) 已知两点D (1,-3)、E (-1,-4),试在直线l 上确定一点Q ,使点Q 到D 、E 两点的距离之和最小,并求出Q 点坐标.(1)如图:(35)B ',,(52)C '-, ·······························································(第22题图)(2) (b ,a ) ········································ 2分(3)由(2)得,D (1,-3) 关于直线l 的对称点D ' 的坐标为(-3,1),连接D 'E 交直线l 于点Q ,此时点Q 到D 、E 两点的距离之和最小…3分 设过D '(-3,1) 、E (-1,-4) 直线的解析式为b kx y +=,则314k b k b -+=⎧⎨-+=-⎩,. ∴52132k b ⎧=-⎪⎪⎨⎪=-⎪⎩,. ∴51322y x =--.由51322y x y x ⎧=--⎪⎨⎪=⎩,. 得137137x y ⎧=-⎪⎪⎨⎪=-⎪⎩,. ∴所求Q 点的坐标为(137-,137-)··········································································· 5分 说明:由点E 关于直线l 的对称点也可完成求解(09宣一)对于三个数a b c 、、,{},,M a b c 表示,,a b c 这三个数的平均数,{}min ,,a b c 表示a b c 、、这三个数中最小的数,如:{}12341,2,333M -++-==,{}min 1,2,31-=-;{}1211,2,33a a M a -+++-==,{}()()1min 1,2,11a a a a ≤-⎧⎪-=⎨->-⎪⎩.解决下列问题:(1)填空:{}min sin30,cos45,tan30︒︒︒= ;若{}m i n 2,22,422x x +-=,则x 的取值范围是 ; (2)①若{}{}2,1,2min 2,1,2M x x x x +=+,那么x = ;②根据①,你发现结论“若{}{},,min ,,M a b c a b c =,那么 ”(填,,a b c 大小关系);③运用②,填空:若{}{}22,2,2min 22,2,2M x y x y x y x y x y x y +++-=+++-,则x y += ;(3)在同一直角坐标系中作出函数1y x =+,()21y x =-,2y x =-的图象(不需列表,(第22题图)描点),通过图象,得出(){}2min 1,1,2x x x +--最大值为 .24.解:⑴12,01x ≤≤⑵①1,②a b c ==,③4-⑶图象如图所示,(){}2min 1,1,2x x x +--(09通二)阅读理解题:阅读下列材料,关于x 的方程:x +1x =c +c 1的解是x 1=c ,x 2=c1; x -x 1=c -c 1(即x +x 1-=c +c 1-)的解是x 1=c ,x 2=-c 1;:x +x 2=c +c2的解是x 1=c ,x 2=c2,……(1)观察上述方程及其解的特征,直接写出关于x 的方程x +x m =c +cm(m ≠0)的解,并利用“方程的解”的概念进行验证;(2)通过(1)的验证所获得的结论,你能解出关于x 的方程:x +12-x =a +12-a 的解吗?若能,请求出此方程的解;若不能,请说明理由.解:(1)x 1=c , ,x 2=cm; …………………………………2分 把x 1=c 代入方程左=c +c m , 右= c +cm…………………………………3分 ∴左=右把x 2=c m代入方程左=c m +c , 右= c +cm………………………………4分∴左=右∴ x 1=c , ,x 2=c m 是关于x 的方程x +x m =c +c m的解.(2)x +12-x =a +12-a变形为x -1+12-x =a -1+12-a ………………………………5分∴x -1= a -1 x -1=12-a ………………………………6分 ∴x 1=a x 2=1+12-a∴x 2=11-+a a ………………………………7分。