周末培优
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(2017·江苏)Many Chinese brands, ____________ their reputations over centuries, are facing new challenges from the modern market.
A. having developed
B. being developed
C. developed
D. developing
【参考答案】A
【易混辨析】现在分词、过去分词和不定式作状语的区别
?Not knowing what to do, he went to his parents for help. 由于不知如何办是好，他去找父母帮忙。
?Given more attention, the trees could have grown better. 如果对这些树多关心一些，它们本来会长得更好。
【规律总结】
1. 分词作状语一般表示伴随，而不定式常常表示目的。
?They stood by the roadside talking about the plan. 他们站在路边谈论着这个计划。
(伴随)
?They stood by the roadside to talk about the plan. 他们站在路边为的是谈论这个计划。(目的)
2. 分词作状语放在句子开头，除表示原因之外，有时表示时间或条件。动词不定式作状语时，除了表示目的之外，还表示结果或原因。
?Reading attentively, he forgot the time for lunch．由于在专心读书，他忘了吃午饭
的时间。(原因)
?Reading carefully, he found something he had not known before. 他仔细读书时，发现了一些从前不知道的东西。(时间)
?Reading carefully, you’ll learn something new. 只要你仔细阅读，你会学到一些新的东西。(条件)
?His family was too poor to support him. 他的家庭太穷，不能维持他的生活。(结果) ?The boy is not tall enough to reach the book shelf. 这男孩个子不够高，手伸不到书架。(结果)
?We are glad to hear the news. 我们很高兴听到这消息。(原因)
【特别注意】
下面一些句型是不定式作状语时候应该注意的：
1. not/never too…to, too…not to, but/only too… to, too r eady/eager to 表示肯定
意义。
2. 作结果状语的不定式只能出现在句子的末尾，常见的构成不定式的动词有：find, hear, see, be told, form, give, make, produce 等。
3. 不定式作状语时，其逻辑主语一般为句子的主语，否则用for引出主语。
1. (2015·北京)___________the early flight,we ordered a taxi in advance and got up very early.
A. Catching
B. Caught
C. To catch
D. Catch
2. (2015·重庆) Like ancient sailors, birds can find their way__________ the sun and the stars.
A. used
B. having used
C. using
D. use
3. (2015·天津) __________ for two days, Steve managed to finish his report on schedule.
A. To work
B. Worked
C. To be working
D. Having worked
4. (2015·天津) __________ in painting, John didn’t notice evening approaching.
A. To absorb
B. To be absorbed
C. Absorbed
D. Absorbing
5. (2014·湖南) There is no greater pleasure than lying on my back in the middle of
the grassland, ___________ at the night sky.
A. to stare
B. staring
C. stared
D. having stared
6. (2014·天津) Anxiously, she took the dress out of the package and tried it on, only _________ it didn’t fit.
A. to find
B. found
C. finding
D. having found
7. (2014·山东) There is a note pinned to the door ___________ when the shop will open again.
A. saying
B. says
C. said
D. having said
8. (2014·江西) ___________nearly all our money, we couldn’t afford to stay at a hotel.
A. Having spent
B. To spent
C. Spent
D. To have spent
9. (2014·福建) ___________the past year as an exchange student in Hong Kong, Linda
appears more mature than those of her age.
A. Spending
B. Spent
C. Having spent
D. To spend
10. (2014·山东) There is a note pinned to the door____________ when the shop will open again.
A. saying
B. says
C. said
D. having said
4. C 【解析】句意：全神贯注于绘画中，约翰没有注意到晚上到了。be absorbed in全神
贯注于，此处在句中作状语，故选C。
5. B 【解析】考查非谓语动词用法。句中的动词stare的逻辑主语是隐含主语I，两者之间
为主动关系，故用现在分词作伴随状语。句意：没有比背躺在草地中间，盯着夜空更快乐的事情了。故B正确。
6. A 【解析】句意：她焦急地从包里拿出裙子试穿，结果却发现不合身。＂only +动词不
定式＂表示意想不到的结果。found是过去分词，常常表示被动和完成的含义；finding 是现在分词，常常表示主动和进行；having found 是-ing的完成式，表示动作发生在先。
7. A 【解析】在这个句子中note和say是主动关系，所以要用saying，此处saying作伴
随状语。句意：门上钉着张纸条，写着这家商店什么时候再营业。故答案选A。
9. C 【解析】＂花费＂和其逻辑主语＂Linda＂之间是主动关系，故用现在分词作原因状
语，且＂花费＂的动作明显早于＂看起来成熟＂这个动作，表示发生在谓语动作之前的动作，用现在分词的完成式。句意：由于Linda过去几年在香港作交换留学生，所以她看起来比她的实际年龄更成熟。
10. A 【解析】在这个句子中note和say是主动关系，所以要用saying。此处saying引导
的句子作伴随状语。句意：门上钉着张纸条，写着这家商店什么时候再营业。故答案选A。
【小明同学】
老师问站在教室外的小明、霜霜、李华三人：“你们仨到底在课堂上做什么，给我老实交代。”小明：“指点江山，激扬文字，粪土粪土当年的万户侯。”
老师：“说人话。”
小明：“斗地主。”
老师：“外面站一天。”
二次函数实际应用 练习: 1.二次函数c bx x y ++=2的图象上有两点(3，－8)和(－5，－8)，则此拋物线的对称轴是（ ） A ．x ＝4 B. x ＝3 C. x ＝－5 D. x ＝－1 2.已知a －b ＋c=0 ，9a ＋3b ＋c=0,则二次函数y=ax 2＋bx ＋c 的图像的顶点可能在（ ） A.第一或第二象限 B.第三或第四象限 C.第一或第四象限 D.第二或第三象限 3.已知M ，N 两点关于y 轴对称，且点M 在双曲线y x = 1 2上，点N 在直线y x =+3上，设点M 的坐标为（a ，b ），则二次函数y abx a b x =-++2()（ ）。 A. 有最小值 92 B. 有最大值-92 C. 有最大值92 D. 有最小值-9 2 4．二次函数362+-=x kx y 的图象与x 轴有交点，则k 的取值范围是____________ 例3、把抛物线y=x 2+bx+c 的图象向右平移3个单位,再向下平移2个单位,所得图象的解析式 是y=x 2-3x+5,则有( ). A.b=3,c=7 B.b=-9,c=-15 C.b=3,c=3 D.b=-9,c=21 4（09?泰安市?3）抛物线1822-+-=x x y 的顶点坐标为 （A ）（-2，7） （B ）（-2，-25） （C ）（2，7） （D ）（2，-9） 5（09?天津?10）在平面直角坐标系中，先将抛物线22y x x =+-关于x 轴作轴对称变换，再将所得的抛物线关于y 轴作轴对称变换，那么经两次变换后所得的新抛物线的解析式为（ ） A ．22y x x =--+ B ．22y x x =-+- C ．22y x x =-++ D ．22y x x =++ 6（09?威海?7）二次函数2365y x x =--+的图象的顶点坐标是（ ） A ．(18) -， B ．(18)， C ．(12)-， D ．(14)-， 7.（09?温州?5）抛物线y=x 2一3x+2与y 轴交点的坐标是( ) A ．(0，2) B ．(1，O) C ．(0，一3) D ．(0，O)
【英语】高考英语快速阅读套题答案 一、单项选择非谓语动词 1．Tom took a taxi to the airport, only _____ his plane high up in the sky. A．finding B．to find C．being found D．to have found 【答案】B 【解析】 试题分析：考查不定式做结果状语。句意：Tom打的去了机场，结果却发现他要乘坐的飞机已经在空中了。不定式做状语时表示意料之外的结果。结合句意可知本题是一种意料之外的结果，故B正确。 考点：考查不定式做结果状语 2．______ to as much English as possible is a good way to learn English well. A．Exposed B．Being exposed C．Having exposed D．To expose 【答案】B 【解析】 试题分析：句意：尽可能多的接触英语是学好英语的很好的办法。这里is是谓语，前面是主语，应该用动名词，而且be exposed to“暴露于，接触”，所以选B。 考点：考查动名词做主语 3．114．––My car is making a really strange noise. ––You’d better get it ______ before you drive to Denver. A．looking at B．looked at C．to look at D．being looked at 【答案】B 【解析】考查非谓语动词。句意：——我的汽车发出奇怪的噪音。——你最好在开车去丹佛之前让人检查一下。get+宾语+宾补。汽车和检查是被动关系，用过去分词作宾补，故选B。 4．The rainforest is an amazing place, ________ with plants and animals that aren’t found anywhere else in the world. A．filling B．filled C．being filled D．to fill 【答案】B 【解析】考查非谓语动词。句意：热带雨林是一个令人惊讶的地方，充满了世界其他地方不能找到的动植物。固定词组：be filled with被……充满，此处place和fill之间是一种被动关系，所以用过去分词做伴随状态，故选B。 5．I looked up and noticed a snake ______ its way up the tree to catch its breakfast. A．to wind B．wind C．winding D．wound
………外…………○…装…………○…………订学校姓名：___________班级：___________考………内…………○…装…………○…………订绝密★启用前 一次函数第四节习题 试卷副标题 考试范围：xxx ；考试时间：100分钟；命题人：xxx 注意事项： 1．答题前填写好自己的姓名、班级、考号等信息 2．请将答案正确填写在答题卡上 第I 卷（选择题） 请点击修改第I 卷的文字说明 一、单选题 1．如图，A 、M 、N 三点坐标分别为A （0，1），M （3，4），N （5，6），动点P 从点A 出发，沿y 轴以每秒一个单位长度的速度向上移动，且过点P 的直线l ：y=－x+b 也随之移动，设移动时间为t 秒，若点M 、N 分别位于l 的异侧，则t 的取值范围是（ ） A ．611t << B ．510t << C ．610t << D ．511t << 2．如图，一次函数y kx b =+（,k b 为常数，且0k ≠）的图像经过点(3,2)-，则关于x 的不等式2kx b +<的解集为（ ） A ．3x >- B ．3x <- C ．2x > D ．2x < 3．某游泳馆新推出了甲、乙两种消费卡，设游泳次数为x 时两种消费卡所需费用分别
…外…………○……………订…………○…线…………○…※※请※※线※※内※※答※※题※※ …内…………○……………订…………○…线…………○…费卡更合算（ ） A ．甲种更合算 B ．乙种更合算 C ．两种一样合算 D ．无法确定 4．如图，直线4 43 y x = +与x 轴，y 轴分别交于A ，B 两点，点C 在OB 上，若将ABC 沿AC 折叠，使点B 恰好落在x 轴上的点D 处，则点C 的坐标是（ ） A ．(0,1) B ．20,3?? ??? C ．30,2?? ??? D ．(0,2) 第II 卷（非选择题） 请点击修改第II 卷的文字说明 二、填空题 5．如图所示的折线ABC 为某地向香港地区打电话需付的通话费y （元）与通话时间 ()t min 之间的函数关系，则通话8min 应付通话费_______元． 6．已知一次函数3y x 的图像经过点(,)P a b 和(,)Q c d ，那么()() b c d a c d ---的值为____________． 7．如图，在平面直角坐标系中，过点C （0，6）的直线AC 与直线OA 相交于点A （4，
温暖人心的经典单选 定语从句 1.Mrs Smith, ______ has a lot of teaching experience, will be joining us next term. A. one B. who C. which D. that 2 Ellen was a painter of birds and of nature, _______, for some reason , had withdrawn from all human society. A. which B. who C. where D. whom （分隔结构） 3 We will never forget the days _____ we spent together. A. that B. where C. on which D. when （关系代词变化）4 A. that B. which C. where D. what （关系代词和副词变化） 5 There was a teapot shaped like a duck, out of ___________ mouth the tea was supposed to come. A. whose B. which C. its D. that （关系代词变化） 6 The journey around the world took the old sailor nine months, _______ the sailing time was 226 days. A. of which B. in which C.which D. that （介词+which） 7 Is this factory ______ you visited the other day？ A. the one B. that C. where D. when （常考的this结构）子8：–Well, where did you spend your night that day? --At __________. （定语从句和名词从句） A. where it is called Grand Hotel B. what is called Grand Hotel C. which is called Grand Hotel D. that is called Grand Hotel 9：–Did all these funny things happen in your club? --No, it was in the class _______I studied English. A. when B. where C. that D. which （强调句和定语从句）10：It is such a difficult problem _______ no one can work out（such引导的先行词）A. as B. that C. so D. thus 11：David is such a good boy _________ all the teachers like him. A. that B. who C. as D. whom （such两个结构区别）11：Scientists believe human cloning is just a matter of time but the assumption ______ human clones have already been born ha sn’t been proved yet. A. that B. which C. whether D. when （同位语从句） 2. 名词性从句 1：After ____ seemed like hours he came out with a bitter smile. A. which C. what D. that 2：What a different man he is _______ he was four years ago! A. from what B. with that C. to whom D. by who 3：You are free to choose ______ suits you best. (anything+that) A whatever B. however C. whenever D.wherever 4：–Please award the prize to _________comes first in the competition.
（英语）高考英语快速阅读套题答案 一、单项选择冠词 1．One way to understand thousands of new words is to gain _____ good knowledge of basic word information. A．不填B．a C．the D．one 【答案】B 【解析】 试题分析:理解成千上万个新单词的一种途径就是好好掌握基本单词。此处为固定短语gain a good knowledge of：精通，故选B。 考点：考察冠词。 2． It will be ___ wonderful world if all nations live in ____ peace with each other. A．a ; a B．the ; the C．a ; the D．a ; ／ 【答案】C 【解析】 试题分析：冠词的考查集中在定冠词the表示特指，不定冠词a/an表示泛指；以及冠词的一些特殊用法和固定词组，还有一些不使用冠词的情况，如抽象名词，物质名词前面就不要冠词。还要掌握冠词的特殊的用法，如不可数名词变成可数名词；抽象名词具体化等。本题第一空后的名词world是世界是一个可数名词，前面用形容词wonderful修饰，再加上不定冠词a表示泛指：一个很精彩的世界；第二空是固定搭配live in peace生活在和平里。句义：如果所有国家都能和平相处，这将是一个非常精彩的世界。故D正确。 考点：考察冠词 3．As soon as __________ new film was released, it became __________ great hit in all big cinemas across the country. A．a; the B．the; a C．the;/ D．a; a 【答案】B 【解析】 考查冠词。the new film特指的这部新电影；a great hit大为成功，根据句意选B。 4．According to the public notice from the police station, ____$5,000 reward will be offered for ____ return of the stolen cultural relics. A．a; the B．/; the C．a; a D．/; a 【答案】A 【解析】 考查冠词。前文泛指任何一笔5000美元的奖金，故用不定冠词。下文return后的修饰词of the stolen cultural relics，可知是特指某物的归还，为特指，用定冠词。选A。 5．——What about lesson this morning?
高一英语阅读理解(人物故事)题20套(带答案)及解析 一、高中英语阅读理解人物故事类 1．阅读理解 When I was small, my mother and I would walk to our local library in Franklin Square. As we didn't always have access to a reliable car, walking hand in hand was the most convenient way to get anywhere. It was at story time for children that both my mother and I made lasting friendships. Today, I am fortunate to live around the corner from the Cold Coast Public Library in Glen Head and a short walk to the Sea Cliff Children's Library. My 18-imonth-old son, Colin, and I find ourselves in Sea Cliff several times a week, meeting and making friends. Well, that is what many people don't understand-a library is more than books; it's a community. Sure, the library in Franklin Square was the place where I was introduced to Judy Blume novels. But it was also the place where I got my first email address in 1997. At the library, friends and I learned how to research colleges and search for scholarships on the Internet. The library was the place where we sometimes giggled(咯咯笑)too loudly, and where the librarians knew us by name. Their knowing our names wasn't a bad thing. When I came home from my first term at Binghamton University, Mary LaRosa, the librarian at the Franklin Square library, offered me my first teaching job. I now teach reading at Nassau Community College. My students are often amazed that they can check out books via their smartphones and virtually(虚拟地)visit a variety of Long Island libraries. The app used by Nassau and Suffolk county public libraries, as well as the college library, makes their homework easier by helping them find resources. Even though they can't always easily visit their local libraries, the library is always with them. （1）Why does the author consider herself lucky today? A. She has become her mother's best friend. B. She has access to a reliable car now. C. She can meet friends at the library. D. She lives close to libraries. （2）What does the underlined word "that" in Paragraph 2 refer to? A. Socializing in a library. B. Reading books in a library. C. Visiting a library with a family member. D. Building parent-child friendship in a library.（3）What is the author's attitude to her students' way of visiting libraries? A. Cautious. B. Favorable. C. Doubtful. D. Disapproving. （4）Why does the author write the text? A. To discuss why libraries are important. B. To express her deep love for libraries. C. To explain how libraries change. D. To introduce her favorite libraries. 【答案】（1）D （2）A （3）B （4）C 【解析】【分析】本文是一篇记叙文，作者讲述了从自己小时候到成家生子再到工作教书这一路上图书馆的变化。
2020-2021学年八年级数学下册尖子生同步培优题典【人教版】 专题19.10一次函数的应用：方案问题（重难点培优）姓名：__________________ 班级：______________ 得分：_________________ 注意事项： 本试卷满分100分，试题共24题，选择10道、填空8道、解答6道．答卷前，考生务必用0.5毫米黑色签字笔将自己的姓名、班级等信息填写在试卷规定的位置． 一、选择题（本大题共10小题，每小题3分，共30分）在每小题所给出的四个选项中，只有一项是符合题目要求的． 1．（2019春?德阳期末）某电信公司有A、B两种计费方案：月通话费用y（元）与通话时间x（分钟）的关系，如图所示，下列说法中正确的是（） A．月通话时间低于200分钟选B方案划算 B．月通话时间超过300分钟且少于400分钟选A方案划算 C．月通话费用为70元时，A方案比B方案的通话时间长 D．月通话时间在400分钟内，B方案通话费用始终是50元 【分析】根据通话时间少于200分钟时，A、B两方案的费用可判断选项A；根据300＜x＜400时，两函数图象可判断选项B；根据月通话费用为70元时，比较图象的横坐标大小即可判断选项C；根据x≤400，根据图象的纵坐标可判断选项D． 【解析】根据图象可知，当月通话时间低于200分钟时，A方案通话费用始终是30元，B方案通话费用始终是50元，故选项A不合题意； 当300＜x＜400时，A方案通话费用大于70元，B方案通话费用始终是50元，故选项B不合题意； 当月通话费用为70元时，A方案通话费时间为300分钟，B方案通话费时间大于400分钟，故选项C不合题意； 当x≤400时，B方案通话费用始终是50元．故选项D符合题意． 故选：D． 2．（2019?唐县二模）超市有A，B两种型号的瓶子，其容量和价格如表，小张买瓶子用来分装15升油（瓶
高中英语培优补差工作计划(精 品版) The work plan of high school English training ( 工作计划 ) 汇报人：_________________________ 职务：_________________________ 日期：_________________________ 适用于工作计划/工作汇报/新年计划/全文可改
高中英语培优补差工作计划(精品版) 【篇一】 一、指导思想： 提高优生的自主和自觉学习能力，进一步巩固并提高中等生的学习成绩，帮助差生取得适当进步，让差生在教师的辅导和优生的帮助下，逐步提高学习成绩，并培养较好的学习习惯，形成基本能力。培化计划要落到实处，发掘并培养一批尖子，挖掘他们的潜能，从培养能力入手，训练良好学习习惯，从而形成较扎实基础，并能协助老师进行辅差活动，提高整个班级的素养和成绩。主要措施： 二、学生情况分析 本年级共有学生72人，从学习情况及知识技能掌握情况看，大部分学生学习积极性高，学习目的明确，上课认真，各科作业能按时按量完成，且质量较好，能起到较好的模范带头作用，但也有少
部分学生，基础知识薄弱，学习态度欠端正，书写较潦草，作业有时不能及时完成，因此本学期除在教学过程中要注重学生的个体差异外，我准备在提高学生学习兴趣上下功夫，通过培优辅差的方式使优秀学生得到更好的发展，潜能生得到较大进步。 三、具体措施 1、认真备好每一次培优辅潜教案，努力做好学习过程的趣味性和知识性相结合。 2、加强交流，了解潜能生、优异生的家庭、学习的具体情况，尽量排除学习上遇到的困难。 3、搞好家访工作，及时了解学生家庭情况，交流、听取建议意见。 4、沟通思想，切实解决潜能生在学习上的困难。 5、坚持辅潜工作，每周不少于一次。 6、根据学生的个体差异，安排不同的作业。 7.采用一优生带一差生的一帮一行动。 8.请优生介绍学习经验，差生加以学习。
（英语）高二英语翻译题20套(带答案)含解析 一、高中英语翻译 1．高中英语翻译题：Translation: Translate the following sentences into English, using the words given in the brackets. 1．究竟是什么激发小王学习电子工程的积极性？(motivate) 2．网上支付方便了客户，但是牺牲了他们的隐私。(at the cost of) 3．让我的父母非常满意的是，从这个公寓的餐厅可以俯视街对面的世纪公园，从起居室也可以。(so) 4．博物馆疏于管理，展品积灰，门厅冷落，急需改善。(whose) 【答案】 1．What on earth has motivated Xiao Wang’s enthusiasm/ initiative to major in electronic engineering? 2．Online payment brings convenience to consumers at the cost of their privacy. 3．To my parents’ satisfaction, the dining room of this apartment overlooks the Century Park opposite the street and so it is with the sitting room. 或者What makes my parents really satisfy is that they can see the Century Park from the dining room of this apartment, so can they from the living room. 4．This museum is not well managed, whose exhibits are covered with dust, and there are few visitors, so everything is badly in need of improvement. 或The museum whose management is reckless, whose exhibits are piled with dust and whose lobby is deserted, requires immediate improvement. 【解析】 1．motivate sb to do sth 激发某人做某事，on earth究竟，major in 以…为专业，enthusiasm/ initiative热情/积极性，故翻译为What on earth has motivated Xiao Wang’s enthusiasm/ initiative to major in electronic engineering? 2．online payment网上支付，brings convenience to给…带来方便，at the cost of以…为代价，privacy隐私，故翻译为Online payment brings convenience to consumers at the cost of their privacy. 3．To my parents’ satisfaction令我父母满意的是，后者也那样so it is with。也可以用主语从句What makes my parents really satisfy 表语从句thatthey can see the Century Park from the dining room of this apartment。overlooks俯视，opposite the street街对面，living room 起居室。故翻译为To my parents’ satisfaction, the dining room of this apartment overlooks the Century Park opposite the street and so it is with the sitting room.或者What makes my parents really satisfy is that they can see the Century Park from the dining room of this apartment, so can they from the living room. 4．not well managed/ management is reckless疏于管理，be covered with dust/ be piled with dust被灰尘覆盖，few visitors游客稀少，be badly in need of improvement/ requires immediate improvement亟需改善。故翻译为his museum is not well managed, whose exhibits
教学课题 复习一次函数相关性质 教 学 目 标 1.复习一次函数相关性质和练习 2.旋转问题（2） 教 学 重 难 点 1.一次函数与几何问题的综合题 2.掌握相关旋转问题的解题技巧 教学内容 课堂收获 一、一次函数相关性质和练习 （一）求函数解析式的方法通常有两种：一，运用待定系数法设出函数解析式，再根据条件列出方程组求系数；二，不知道函数形式时，运用题中条件得到关于x 与y 的方程，整理后即可得到函数解析式。 例1.（太原竞赛）如图，△AOB 为正三角形，点B 坐标为（2，0），过点C （-2，0）作直线l 交AO 于点D ，交AB 于点E ，且使△ADE 与△DOC 的面积相等，求直线l 的函数解析式。 (二)一次函数性质与k 、b 。直线)0(≠+=k b kx y 中，k 、b 决定着直线的位置和y 随x 的变化情况。 例 2.（广东竞赛）已知0≠abc ，且 p b c a a c b c b a =+=+=+，那么一次函数p px y +=的图像一定经过（ ） A. 第一、二象限 B. 第二、三象限 C. 第三、四象限 D. 第一、四象限 练习：已知一次函数1)2(-+-=k x k y 的图像经过第一、二、四象限，则k 的取值范围是 （三）当一次函数图像与两坐标轴有交点时，就与直角三角形联系在一起，求两交点坐标并能挖掘隐含条件是解决相关综合题的基础。 例3.（河北竞赛）设直线2)1(= ++y n nx （n 为自然数）与两坐标轴围成的三角形面积为S n （n=1，2，....2000），则S 1+S 2+.....+S 2000的值为（ ）
A. 1 B. 20001999 C. 20012000 D. 2002 2001 练习： 练习：1.如图，直线2+-=x y 与x 轴、y 轴分别交于A 、B 两点，点C 在线段AB 上（不与A 、B 重合）。（1）若S △OAC :S △OBC =2:3，求点C 的坐标； （2）若BD ∥OA 交直线OC 于D ，AE ⊥OC 于E ，交OB 于F ，P 为AB 中点，当点C 在线段BP 上滑动时，求证：BD+BF 的值不变。 注：解函数图像与面积结合的问题，关键是把相关三角形用边落在坐标轴的其他三角形的面积来表示，这样面积与坐标就有了联系。 例5.（天津竞赛）如图，直线13 3 +- =x y 与x 轴、y 轴分别交于A 、B 两点，以线段AB 为直
专项培优：Unit1语法拔高练习 一、将下列两个简单句合并成一个含有非限制性定语从句的复合句。 1. I am reading Harry Porter. It is an interesting book. → ____________________________________________ 2. He failed in the exam. It made his parents very angry. → ____________________________________________ 3. He has two sons. Both of them are doctors. → ____________________________________________ 4. Recently I bought an ancient Chinese vase. The price of it was very reasonable. → ____________________________________________ 5. Last week, two persons came to see the house. Neither of them wanted to buy it.→ ____________________________________________ 6. I have lost the pen. My father bought it for my sixteenth birthday. → ____________________________________________ 7. Do you see the house? The windows of it face south.→ ____________________________________________ 8. He must be from Africa. It can be seen from his skin.→ ____________________________________________ 9. The book is worth reading. He paid 6 yuan for it. → ____________________________________________ 10. She is a teacher of much knowledge. Much can be learned from her. → ____________________________________________ 二．单项选择 1. Attention! Our bus is approaching Cambridge，________we’ll be stopping to eat. A. when B. which C. as D. where 2. People who seldom do sports or _______diet is high in fat will put off Weight
一次函数的综合应用 1、已知在平面直角坐标系中，A （1，2）、B （5，4）在x 轴上找一点P ，使得PA+PB 的值最小，则点P 的坐标为___________． 2、如图，直线y =-x +4与x 轴、y 轴分别交于点A ，点B ，点P 的坐标为(-2，2)，则S △P AB =___________． O B y A P x x A y B O 第2题图 第3题图 3、如图，在平面直角坐标系中，已知A (-1，3)，B (3，-2)，则△AOB 的面积为___________． 4、如图，在平面直角坐标系中，已知A （4，0），B （0，2），C （1，0）．在直线AB 上是否存在一点D ，使得直线CD 将△OAB 分成1：3两部分．若存在，求出D 点的坐标，若不存在，请说明理由． y x O B A
5、我区的水电资源丰富，并且得到了较好的开发，电力充足．某供电公司为了鼓励居民用电，采用分段计费的方法来计算电费．月用电量（x）度与相应电费y（元）之间的图象如图所示． （1）当月用电量为100度时，应交电费元； （2）当x≥100时，求y与x之间的关系式； （3）当月用电量为260度时，应交电费元． 6、小聪和小明沿同一条路同时从学校出发到宁波天一阁查阅资料，学校与天一阁的路程是4千米，小聪骑自行车，小明步行，当小聪从原路回到学校时，小明刚好到达天一阁，图中折线O-A-B-C和线段OD分别表示两人离学校的路程s（千米）与所经过的时间t（分钟）之间的函数关系，请根据图象回答：下列四个结论 ①小聪在天一阁查阅资料的时间为15分钟； ②小聪返回学校的速度为千米/分钟； ③小明离开学校的路程s（千米）与所经过的 时间t（分钟）之间的关系式是； ④当小聪与小明迎面相遇时，他们离学校的路程是千米． 其中正确结论的序号是． 7、小颖和小亮上山游玩，小颖乘坐缆车，小亮步行，两人相约在山顶的缆车终点会合．已知小亮行走到缆车终点的路程是缆车到山顶的线路长的2倍，小颖在小亮出发后50 分才乘 上缆车，缆车的平均速度为180米/分．设小亮出发x 分后行走的路程为y 米．图中的折线表示小亮在整个行走过程中y随x的变化关系．（1）小亮行走的总路程是______米，他途中休息了______分． （2）分别求出小亮在休息前和休息后所走的路程段上的步行速度． （3）当小颖到达缆车终点时，小亮离缆车终点的路程是多少？
高考英语精准培优专练∶名词(附解析) 一、单项选择名词 1．The two sides have finally reached a(n) _______ , though some small differences(分歧) still exist(存在). A．announcement B．agreement C．amazement D．achievement 【答案】B 【解析】 【详解】 考查名词词义辨析。句意：尽管仍存在一些小分歧，但双方最终达成了一致。A. announcement宣告；B. agreement一致；C. amazement惊愕；D. achievement成就。根据“though some small differences(分歧) still exist”可推知，此处表示“达成一致”，故B项正确。 2．事故现场 Scenery:指某地总的自然景色或风景全貌。 Sight:既可以指场景、眼前看到的景观，多指人工的事物，又可以指名胜、风景，只是在表示后者的含义时，必须要用复数。 View:1.常指从远处或高处看到的scenery的一部分，有时可与scene互换。 2.视野=sight 3.观点跟opinion同义。 根据本句句意可知，D选项正确。 3．As an American living in-Tianjin for about 10 years, Chris says that it has been a ________ be a witness to China’s great progress. A．privilege B．preference C．priority D．principle 【答案】A 【解析】 【详解】 考查名词辨析。句意：作为一个在天津生活了大约10年的美国人，克里斯说，能够见证中国的巨大进步是一种荣幸。A. privilege 荣幸；B. preference偏爱；C. priority 优先；D. principle原则。privilege“荣幸”符合句意。故A选项正确。 4．We have found that a boy matching your entered the amusement park just now. A．instruction B．explanation C．description D．application 【答案】C 【解析】 【详解】 考查名词词义辨析。句意：我们发现一个符合你的描述的男孩刚才进入了游乐园。
Unit 3 Travel journal 语言要点 单元要点预览（旨在让同学整体了解本单元要点） 词汇部分 词语 辨析 1. finally/at last/in the end 2. across/through/over 3. persuade / advise 4. beneath / under / below 词形 变化 1. organize vt. 组 织 organized adj. 有组织的organization n. 组织 2. wool n. 羊毛woolen adj. 毛纺的; 纯毛 的 3. determine v. 决 定 determined adj. 坚决 的 determination n. 决心; 坚 定性 重点 单词 1. prefer v. 更喜欢，选择某事物（而不选择其他事物） 2. persuade v. 说服；劝说 3. insist v. 坚持 4. determine v. 决定；确定；下定决心 重点 词组 1.care about 关心，在乎go through 经历；经受 2.give in 屈服，让步，投降；上交 3.change one’s mind 改变主意 重点句子 1. It was my sister who/that first had the idea to cycle along the entire Mekong River. 首先想到沿湄公河骑车旅游的是我姐姐。（强调句） 2. She insisted that she (should) organize the trip properly. 她坚持要自己把这次旅游安排得尽善尽美。 重点语法现在进行时表示将来（见语法部分） I 词语辨析(旨在提供完形填空所需材料) 1. finally/at last/in the end
高一英语培优（七） I. 定语从句练习 1.The place _______interested me most was the children's palace. a. which b. where c. what d. in which 2.Do you know the man _______? a. whom I spoke b. to who spoke c. I spoke to d. that I spoke 3.This is the hotel _______last month. a. which they stayed b. at that they stayed c. where they stayed at d. where they stayed 4.Do you know the year ______the Chinese communist party was founded? a. which b. that c. when d. on which 5.That is the day ______I'll never forget. a. which b. on which c. in which d. when 6.The factory ______we'll visit next week is not far from here. a. where b. to which c. which d. in which 7.Great changes have taken place since then in the factory _______we are working. a. where b. that c. which d. there 8.This is one of the best films _______. a. that have been shown this year b. that have shown c. that has been shown this year d. that you talked 9.Can you lend me the book ______the other day? a. about which you talked b. which you talked c. about that you talked d. that you talked 10.The pen ______he is writing is mine. a. with which b. in which c. on which d. by which 11.They arrived at a farmhouse, in front of ______sat a small boy. a. whom b. who c. which d. that 12.The engineer ______my father works is about 50 years old. a. to whom b. on whom c. with which d. with whom 13.It there anyone in your class ______family is in the country? a. who b. who's c. which d. whose 14.I'm interested in ______you have said. a. all that b. all what c. that d. which 15.I want to use the same dictionary ______was used yesterday. a. which b. who c. what d. as 16.He isn't such a man ______he used to be. a. who b. whom c. that d. as 17.He is good at English, ______we all know. a. that b. as c. whom d. what 18.Li Ming, ______to the concert enjoyed it very much. a. I went with b. with whom I went c. with who I went d. I went with him 19.I don't like ______ as you read. a. the novels b. the such novels c. such novels d. same novels 20.He talked a lot about things and persons ________they remembered in the school.