王后雄教育姜丽霞老师高三英语专题——专题十五高考作文
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专题07 公益活动+善行义举【话题分类:人与社会】距离高考还有一段时间,不少有经验的老师都会提醒考生,愈是临近高考,能否咬紧牙关、学会自我调节,态度是否主动积极,安排是否科学合理,能不能保持良好的心态、以饱满的情绪迎接挑战,其效果往往大不一样。
以下是本人从事10多年教学经验总结出的以下学习资料,希望可以帮助大家提高答题的正确率,希望对你有所帮助,有志者事竟成!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。
总之,在最后的复习阶段,学生们不要加大练习量。
在这个时候,学生要尽快找到适合自己的答题方式,最重要的是以平常心去面对考试。
英语最后的复习要树立信心,考试的时候遇到难题要想“别人也难”,遇到容易的则要想“细心审题”。
越到最后,考生越要回归基础,单词最好再梳理一遍,这样有利于提高阅读理解的效率。
另附高考复习方法和考前30天冲刺复习方法。
目录1.湖南师范大学附中2022-2023学年高一下学期入学试题2.辽宁省本溪市一中2022-2023学年高一期末试题3.江西省丰城中学2022-2023学年高一创新试题4.内蒙古通辽开鲁一中2022-2023学年高一期末试题5.山东省潍坊市安丘市2023年高一期末考试英语6.河北省保定市2022-2023学年高一上学期1月期末英语试题7.内蒙古鄂尔多斯市第一中学2023年高一试题8.辽宁省沈阳市十中2022-2023学年高一期末试题9.湖北省荆州中学2022-2023学年高一试题10.河南省开封市五县2022-2023学年高一期中试题1.【湖南师范大学附中2022-2023学年高一下学期入学试题】阅读下面材料,根据其内容和所给段落开头语续写两段,使之构成一篇完整的短文。
2022年浙江高考英语满分作文Education plays a crucial role in shaping the future of a society.教育在塑造一个社会的未来方面起着至关重要的作用。
In recent years, the Zhejiang college entrance examination has been drawing increased attention.近年来,浙江高考越来越受到关注。
Many people believe that the education system in Zhejiang has unique characteristics that deserve recognition.很多人认为浙江的教育体制具有独特的特点,值得认可。
On the other hand, some critics argue that the emphasis on exams and standardized testing hinders students' overall development.另一方面,一些批评者认为对考试和标准化测试的强调妨碍了学生的全面发展。
While it is essential to have a fair and transparent assessment system, it is equally important to cultivate creativity and critical thinking among students.虽然拥有公平透明的评估系统很重要,但培养学生的创造力和批判性思维同样重要。
In conclusion, the Zhejiang college entrance examination has both strengths and weaknesses.总的来说,浙江高考既有优点又有缺点。
高考英语续写满分作文范文欣赏新高考Title: Appreciating an Exemplary High School English CompositionThe following is an exemplary high school English composition titled "A Journey of Self-Discovery" by a student named Emily. This composition was written for the high school English exam and earned full marks.A Journey of Self-DiscoveryI have always believed that life is a journey of self-discovery. We are constantly learning about ourselves, our strengths, our weaknesses, and our values as we navigate through the ups and downs of life. It is through these experiences that we grow and evolve into the person we are meant to be.One such experience that has shaped me into who I am today is my decision to study abroad in my junior year of high school. It was a challenging decision to make, as I would be leaving behind my family, friends, and everything familiar to me. However, I knew deep down that this was an opportunity I couldn't pass up. I wanted to push myself out of my comfort zone and experience a different culture, language, and way of life.Living in a foreign country was both exhilarating and daunting. I had to adapt to a new environment, make new friends, and overcome language barriers. It wasn't easy, but I persevered. I immersed myself in the local culture, attended language classes, and explored the city on my own. Through these experiences, I discovered a newfound sense of independence and resilience within myself.One particular incident that stands out in my memory is when I got lost in the city during my first week abroad. I had no idea where I was or how to get back to my host family's house. Panic set in, but I reminded myself to stay calm and think logically. I approached a local for help, and with the little language skills I had, I managed to communicate my situation. The kind stranger not only helped me find my way back but also taught me a valuable lesson in humility and gratitude.As I reflect on my time abroad, I realize that this journey of self-discovery has not only broadened my horizons but also deepened my understanding of myself. I have learned to embrace challenges, adapt to change, and appreciate the beauty of diversity. I have become more confident in my abilities and more empathetic towards others. Most importantly, I havediscovered that true growth comes from stepping outside of our comfort zones and facing our fears head-on.In conclusion, my journey of self-discovery has been a transformative experience that has shaped me into a more resilient, compassionate, and open-minded individual. I am grateful for the opportunities that have come my way and for the lessons that I have learned along the path. Life is indeed a journey, and I look forward to continuing to explore, learn, and grow in the years to come.-------------------------This high school English composition by Emily beautifully captures the essence of self-discovery and personal growth. Her storytelling is engaging, her language is eloquent, and her message is powerful. It is a shining example of what a top-notch high school English composition should look like.。
2025届湖北省华中师大第一附中高考英语考前最后一卷预测卷注意事项:1.答卷前,考生务必将自己的姓名、准考证号、考场号和座位号填写在试题卷和答题卡上。
用2B铅笔将试卷类型(B)填涂在答题卡相应位置上。
将条形码粘贴在答题卡右上角"条形码粘贴处"。
2.作答选择题时,选出每小题答案后,用2B铅笔把答题卡上对应题目选项的答案信息点涂黑;如需改动,用橡皮擦干净后,再选涂其他答案。
答案不能答在试题卷上。
3.非选择题必须用黑色字迹的钢笔或签字笔作答,答案必须写在答题卡各题目指定区域内相应位置上;如需改动,先划掉原来的答案,然后再写上新答案;不准使用铅笔和涂改液。
不按以上要求作答无效。
4.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。
第一部分(共20小题,每小题1.5分,满分30分)1.—Jack, my plane arrives at 8:30 pm when, I suppose, you ______ dinner.—But I can wait.A.will have B.have hadC.will have had D.are having2.Linda realized she was in the wrong and promised to ________ a new leaf.A.take over B.turn over C.get over D.go over3.Some pre-school children go to a day care center, __________ they learn simple games and songs.A.then B.there C.while D.where4.My summer camp isn’t good fun, but it is real learning experience for me.A.a; / B.the; a C./; a D.a; the5.—What happened to the young trees we planted last week?—The trees ________ well, but I didn’t water them.A.might grow B.needn’t have grownC.would have grown D.would grow6.Don’t worry. The hard work that you do now _____ later in life.A.will be repaid B.was being repaidC.has been repaid D.was repaid7.As economy is declining, jobs ________to the young, continue to be scarce.A.available B.convenientC.comfortable D.valuable8.New energy-sharing projects _____ in dozens of cities across the country to fuel China’s sharing economy in the next few years.A.are to carry out B.are being carried outC.were carried out D.will have been carried out9.They went to the street to ________ to the whole city to help the poor boy.A.apply B.appealC.add D.reply10.High-speed trains which travel through my hometown ________ up to 250 km per hour make it a small world. A.with B.againstC.at D.over11.—Our team has just narrowly won the game. I feel so relieved now.—__________!A.Cheer up B.Y ou betC.What a pity D.Well done12.Governments around the world increasingly ________ artificial intelligence to help promote economic growth. A.put out B.roll out C.make out D.reach out13.— Who recommended Nancy for the post?— It was James ______ admiration for her was obvious.A.who B.that C.whose D.whom14.--I feel nervous when taking an exam.-- and you can do it well.A.Take it w easy B.Take your time C.Good luck D.It’s up to you15.The science competition is a good opportunity to show students _____ creativity can add new value to their school life.A.where B.whether C.how D.when16.— What happened to the young trees we planted last week?—The trees __________ well, but I didn’t water them.A.might grow B.would have grownC.needn’t have grown D.would grow17.A quick review of successes and failures at the end of year will help ________ you year ahead.A.sharpen B.switchC.stretch D.shape18.People expect Shanghai Disneyland Park to offer better service than ________ of Tokyo’s.A.this B.it C.one D.that19.If he ________ his teacher’s suggestion, he would have won the English Speech Contest.A.had followed B.should followC.was to follow D.followed20.The rising house price and the high income tax rate have become the biggest ______ of the ordinary people in China today.A. concernB. influenceC. involvementD. occupation第二部分阅读理解(满分40分)阅读下列短文,从每题所给的A、B、C、D四个选项中,选出最佳选项。
2015高考辽宁英语作文It was the year of 2015, a crucial year for me as a high school student in Liaoning province. The pressure of the college entrance examination was looming over my head, and I knew that I had to work hard in order to achieve my dreams.Studying for the exam was not easy, but I was determined to succeed. I spent countless hours poring over textbooks and practice papers, trying to absorb as much knowledge as possible. There were times when I felt overwhelmed and exhausted, but I knew that I had to push through the difficulties in order to reach my goals.In addition to academic pressure, there were alsosocial and emotional challenges that I had to face. As a teenager, I was constantly dealing with peer pressure and the expectations of my family and teachers. It was a constant struggle to balance my own desires and aspirations with the demands of the world around me.Despite the challenges, I was able to find moments of joy and inspiration. Whether it was a beautiful sunset or a heartfelt conversation with a friend, these small moments helped to remind me of the beauty and meaning of life. They gave me the strength to keep moving forward, even when the road ahead seemed daunting.Looking back on that year, I realize that it was a time of growth and self-discovery. I learned a lot about myself and the world around me, and I am grateful for the experiences that shaped me into the person I am today. As I move forward into the future, I carry with me the lessons and memories of 2015, knowing that they will always be a part of who I am.。
2025届北京市首都师大附中高考冲刺押题(最后一卷)英语试卷考生请注意: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。
第一部分(共20小题,每小题1.5分,满分30分)1.Adding to their happiness, he says,______ some similarities between the two test papers.A.is B.are C.has D.have2.—How did you like John’s exhibition of paintings last weekend?—To tell you the truth, his paintings didn’t ________ me much.A. refer to B.appeal to C.belong to D.occur to3.—Alice has just lost her husband to heart failure.—Her ______ smile can’t hide her sorrow.A.arbitrary B.artificialC.compulsory D.conventional4.Any information of the oral test paper are regarded as strictly ______ before it is open.A.conventional B.analyticalC.controversial D.confidential5.The medicine should usually be kept out of the ________ of children at home.A.distance B.reachC.limit D.arrival6.you can learn to appreciate the challenges in life, you will find inner strength.A.When B.WhileC.Before D.Unless7.— Can you tell me something about _________ science.— OK. _ Nobel Prize in Chemistry is usually awarded to Americans.A.the; The B./; The C.a; / D.the; /8.The shocking news made me realize _____________ terrible problems we would face.A.that B.howC.why D.what9.She is quite____to office work.You had better offer her some suggestions when necessary.A.familiar B.freshC.similar D.sensitive10.For the Chinese dream ______ at an earlier date, we must accelerate the pace of reform and opening up.A.being realized B.to realizeC.realizing D.to be realized11.The new secretary is and therefore the manager is satisfied with her work.A.effective B.efficient C.specific D.sufficient12.—Do you know how I can ____ him?—On his mobile phone.A.learn B.reach C.seek D.touch13.What actually ______ the accident has not yet been determined.A.brought out B.brought on C.brought about D.brought up14.It was in that small house ________ was built with stones by his father ________ he spent his childhood. A.that; where B.which; thatC.which; which D.that; which15.We really emphasize the importance of putting______safeguards to prevent children’s identities from falling in wrong people’s hands.A.in place B.in vainC.in question D.in earnest16.I thought it hard to complete the project then, but I ________ my mind.A.will change B.would changedC.have changed D.had changed17.The teacher called Tom to his office because he was caught in the exam.A.to cheat B.cheating C.cheated D.cheat18.With the development of agriculture, the people_____ village I taught arenow living a happy life.A.in whose B.whose C.in which D.which19.carefully for long time,the opening ceremony won a great success.A.Having prepared B.To be prepared C.Being prepared D.Having been prepared20.—I’m burnt out as I’ve been working on my essay all the time.—____________. You’ll surely make it.A.Don’t put on airs B.Give me a breakC.Don’t get on my nerve D.Hang in there第二部分阅读理解(满分40分)阅读下列短文,从每题所给的A、B、C、D四个选项中,选出最佳选项。
高考英语考前30天三轮专题提分必练绝密之三十五记叙文型书面表达(二)(湖北专用)(二)假定你是李华,今年春节期间和几个同学乘坐新开通的高速火车从海口到三亚旅游。
请根据以下要点写一篇日记。
要点:1. 高速火车舒适、快速,从海口到三亚只用了一个半小时;2. 沿途处处有美景;3. 你心情愉快并且交了一些新朋友;4. 觉得高铁有助于促进海南的发展;5. ……要求:1. 词数100左右,内容可适当发挥;2. 开头已为你写好(不计入总词数)。
February 7, MondaySunnyDur ing the Spring Festival, my classmates and I took the highspeed train to Sanya.________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________ ________________________________________________________________________(二)One possible version:February 7, MondaySunnyDuring the Spring Festival, my classmates and I took the highspeed train to Sanya.The mome nt we got on the new highspeed train which had just been put into use,we all became very excited.While we were traveling, what impressed me most was that the train was so fast and comfortable that we were able to reach the destination in just one and a ha lf hours.On the way we could enjoy many fine views. What’s more,we made some new friends.Having experienced the unforgettable train trip.I do feel from the bottom of my heart that the highspeed train will definitely benefit us a lot.Firstly,it will make it more convenient for people to travel around. Secondly, it will help to promote the tourism and economic development in Hainan.用心爱心专心 1。
高考英语作文题讲解The high school English writing test is always a challenge for many students. It requires not only a good command of English grammar and vocabulary, but also the ability to express ideas clearly and coherently. Many students find it hard to come up with a good essay in a limited time. However, with enough practice and preparation, it is possible to improve one's writing skills and achievea good score in the test.One of the most important things to remember whenwriting an essay is to have a clear and logical structure. This means that you should have a strong introduction, body paragraphs that support your main idea, and a conclusionthat ties everything together. It's also important to use transition words and phrases to help your writing flow smoothly and to make it easier for the reader to followyour ideas.In addition to having a clear structure, it's alsoimportant to use a variety of sentence structures and vocabulary to make your writing more interesting and engaging. This means using different types of sentences, such as simple, compound, and complex sentences, as well as using a range of vocabulary to avoid repetition and to add depth to your writing.Another important aspect of writing a good essay is to use evidence and examples to support your ideas. This means providing specific examples and evidence to back up your points, rather than just making general statements. This can help to make your writing more persuasive and convincing, and can also help to show that you have a good understanding of the topic.Finally, it's important to proofread and edit your essay carefully to ensure that it is free from errors and that it flows well. This means checking for spelling and grammar mistakes, as well as making sure that your writing is clear and easy to understand. It's also a good idea to get someone else to read over your essay to provide feedback and to make sure that it makes sense to someoneelse.In conclusion, writing a good essay for the high school English test is a challenging but achievable task. By focusing on structure, variety, evidence, and editing, itis possible to improve one's writing skills and to achieve a good score in the test. With enough practice and preparation, it is possible to become a confident and competent writer.。
高考英语书面表达高分写作的详细思路指导解读和最全资料整理高考迫在眉睫。
这个时候,需要你做以下事情:1.最常考的话题分类,每个话题共同的思维点有哪些,相关词块又有哪些;2.每个句子要有一定的内容含量,少一些大家都知道的套路句,积累属于自己的个性化套句一、简化再简化:Less is more所有作文在题材上的相通之处:二、亮点主题句一篇作文要得高分,必须要有主题句。
主题句就是用以概括文章中心思想和核心内容的句子,可以最直接、最凝练地体现作者的写作意图,表达感情和立场。
千万不要忽略精彩的主题句对于表达中心思想的重要性。
一篇作文如果虚的多、实的少,当然不会得高分。
下面是我总结的十大救急词组,大家一定要背熟,达到发现主题词后就能迅速填空的程度。
救急词组1)not only important, but also indispensable不仅重要,而且不可或缺例句:Mutual supportis not only important, but also indispensablein a modern society.译文:互相帮助在当今社会不仅重要,而且不可或缺。
替换表达:... play a key role in...serve a leading/dominant role in...救急词组2)Special attention must be paid to...必须特别注意……例句:Special attention must be paid tothe importance of environmental protection.译文:必须特别注意保护环境的重要性。
替换表达:Careful attention must be directed to...救急词组3)... threaten to do more harm than good to... ……会对……弊大于利例句:Overfishingthreatens to do more harm than good tothe marine environment.译文:过度捕捞会对海洋环境弊大于利。
江西省南昌市2015-2016学年度第一学期期末试卷(江西师大附中使用)高三理科数学分析一、整体解读试卷紧扣教材和考试说明,从考生熟悉的基础知识入手,多角度、多层次地考查了学生的数学理性思维能力及对数学本质的理解能力,立足基础,先易后难,难易适中,强调应用,不偏不怪,达到了“考基础、考能力、考素质”的目标。
试卷所涉及的知识内容都在考试大纲的范围内,几乎覆盖了高中所学知识的全部重要内容,体现了“重点知识重点考查”的原则。
1.回归教材,注重基础试卷遵循了考查基础知识为主体的原则,尤其是考试说明中的大部分知识点均有涉及,其中应用题与抗战胜利70周年为背景,把爱国主义教育渗透到试题当中,使学生感受到了数学的育才价值,所有这些题目的设计都回归教材和中学教学实际,操作性强。
2.适当设置题目难度与区分度选择题第12题和填空题第16题以及解答题的第21题,都是综合性问题,难度较大,学生不仅要有较强的分析问题和解决问题的能力,以及扎实深厚的数学基本功,而且还要掌握必须的数学思想与方法,否则在有限的时间内,很难完成。
3.布局合理,考查全面,着重数学方法和数学思想的考察在选择题,填空题,解答题和三选一问题中,试卷均对高中数学中的重点内容进行了反复考查。
包括函数,三角函数,数列、立体几何、概率统计、解析几何、导数等几大版块问题。
这些问题都是以知识为载体,立意于能力,让数学思想方法和数学思维方式贯穿于整个试题的解答过程之中。
二、亮点试题分析1.【试卷原题】11.已知,,A B C 是单位圆上互不相同的三点,且满足AB AC →→=,则AB AC →→⋅的最小值为( )A .14-B .12-C .34-D .1-【考查方向】本题主要考查了平面向量的线性运算及向量的数量积等知识,是向量与三角的典型综合题。
解法较多,属于较难题,得分率较低。
【易错点】1.不能正确用OA ,OB ,OC 表示其它向量。
2.找不出OB 与OA 的夹角和OB 与OC 的夹角的倍数关系。
【解题思路】1.把向量用OA ,OB ,OC 表示出来。
2.把求最值问题转化为三角函数的最值求解。
【解析】设单位圆的圆心为O ,由AB AC →→=得,22()()OB OA OC OA -=-,因为1OA OB OC ===,所以有,OB OA OC OA ⋅=⋅则()()AB AC OB OA OC OA ⋅=-⋅-2OB OC OB OA OA OC OA =⋅-⋅-⋅+ 21OB OC OB OA =⋅-⋅+设OB 与OA 的夹角为α,则OB 与OC 的夹角为2α所以,cos 22cos 1AB AC αα⋅=-+2112(cos )22α=--即,AB AC ⋅的最小值为12-,故选B 。
【举一反三】【相似较难试题】【2015高考天津,理14】在等腰梯形ABCD 中,已知//,2,1,60AB DC AB BC ABC ==∠= ,动点E 和F 分别在线段BC 和DC 上,且,1,,9BE BC DF DC λλ==则AE AF ⋅的最小值为 .【试题分析】本题主要考查向量的几何运算、向量的数量积与基本不等式.运用向量的几何运算求,AE AF ,体现了数形结合的基本思想,再运用向量数量积的定义计算AE AF ⋅,体现了数学定义的运用,再利用基本不等式求最小值,体现了数学知识的综合应用能力.是思维能力与计算能力的综合体现. 【答案】2918【解析】因为1,9DF DC λ=12DC AB =,119199918CF DF DC DC DC DC AB λλλλλ--=-=-==, AE AB BE AB BC λ=+=+,19191818AF AB BC CF AB BC AB AB BC λλλλ-+=++=++=+,()221919191181818AE AF AB BC AB BC AB BC AB BCλλλλλλλλλ+++⎛⎫⎛⎫⋅=+⋅+=+++⋅⋅ ⎪ ⎪⎝⎭⎝⎭19199421cos1201818λλλλ++=⨯++⨯⨯⨯︒2117172992181818λλ=++≥+= 当且仅当2192λλ=即23λ=时AE AF ⋅的最小值为2918. 2.【试卷原题】20. (本小题满分12分)已知抛物线C 的焦点()1,0F ,其准线与x 轴的交点为K ,过点K 的直线l 与C 交于,A B 两点,点A 关于x 轴的对称点为D . (Ⅰ)证明:点F 在直线BD 上; (Ⅱ)设89FA FB →→⋅=,求BDK ∆内切圆M 的方程. 【考查方向】本题主要考查抛物线的标准方程和性质,直线与抛物线的位置关系,圆的标准方程,韦达定理,点到直线距离公式等知识,考查了解析几何设而不求和化归与转化的数学思想方法,是直线与圆锥曲线的综合问题,属于较难题。
【易错点】1.设直线l 的方程为(1)y m x =+,致使解法不严密。
2.不能正确运用韦达定理,设而不求,使得运算繁琐,最后得不到正确答案。
【解题思路】1.设出点的坐标,列出方程。
2.利用韦达定理,设而不求,简化运算过程。
3.根据圆的性质,巧用点到直线的距离公式求解。
【解析】(Ⅰ)由题可知()1,0K -,抛物线的方程为24y x =则可设直线l 的方程为1x my =-,()()()112211,,,,,A x y B x y D x y -,故214x my y x =-⎧⎨=⎩整理得2440y my -+=,故121244y y m y y +=⎧⎨=⎩则直线BD 的方程为()212221y y y y x x x x +-=--即2222144y y y x y y ⎛⎫-=- ⎪-⎝⎭令0y =,得1214y yx ==,所以()1,0F 在直线BD 上.(Ⅱ)由(Ⅰ)可知121244y y m y y +=⎧⎨=⎩,所以()()212121142x x my my m +=-+-=-,()()1211111x x my my =--= 又()111,FA x y →=-,()221,FB x y →=-故()()()21212121211584FA FB x x y y x x x x m →→⋅=--+=-++=-,则28484,93m m -=∴=±,故直线l 的方程为3430x y ++=或3430x y -+=213y y -===±,故直线BD 的方程330x -=或330x -=,又KF 为BKD ∠的平分线,故可设圆心()(),011M t t -<<,(),0M t 到直线l 及BD 的距离分别为3131,54t t +--------------10分 由313154t t +-=得19t =或9t =(舍去).故圆M 的半径为31253t r +== 所以圆M 的方程为221499x y ⎛⎫-+= ⎪⎝⎭【举一反三】【相似较难试题】【2014高考全国,22】 已知抛物线C :y 2=2px(p>0)的焦点为F ,直线y =4与y 轴的交点为P ,与C 的交点为Q ,且|QF|=54|PQ|.(1)求C 的方程;(2)过F 的直线l 与C 相交于A ,B 两点,若AB 的垂直平分线l′与C 相交于M ,N 两点,且A ,M ,B ,N 四点在同一圆上,求l 的方程.【试题分析】本题主要考查求抛物线的标准方程,直线和圆锥曲线的位置关系的应用,韦达定理,弦长公式的应用,解法及所涉及的知识和上题基本相同. 【答案】(1)y 2=4x. (2)x -y -1=0或x +y -1=0. 【解析】(1)设Q(x 0,4),代入y 2=2px ,得x 0=8p,所以|PQ|=8p ,|QF|=p 2+x 0=p 2+8p.由题设得p 2+8p =54×8p ,解得p =-2(舍去)或p =2,所以C 的方程为y 2=4x.(2)依题意知l 与坐标轴不垂直,故可设l 的方程为x =my +1(m≠0). 代入y 2=4x ,得y 2-4my -4=0. 设A(x 1,y 1),B(x 2,y 2), 则y 1+y 2=4m ,y 1y 2=-4.故线段的AB 的中点为D(2m 2+1,2m), |AB|=m 2+1|y 1-y 2|=4(m 2+1).又直线l ′的斜率为-m ,所以l ′的方程为x =-1m y +2m 2+3.将上式代入y 2=4x ,并整理得y 2+4m y -4(2m 2+3)=0.设M(x 3,y 3),N(x 4,y 4),则y 3+y 4=-4m,y 3y 4=-4(2m 2+3).故线段MN 的中点为E ⎝ ⎛⎭⎪⎫2m2+2m 2+3,-2m ,|MN|=1+1m 2|y 3-y 4|=4(m 2+1)2m 2+1m 2.由于线段MN 垂直平分线段AB ,故A ,M ,B ,N 四点在同一圆上等价于|AE|=|BE|=12|MN|,从而14|AB|2+|DE|2=14|MN|2,即 4(m 2+1)2+⎝ ⎛⎭⎪⎫2m +2m 2+⎝ ⎛⎭⎪⎫2m 2+22=4(m 2+1)2(2m 2+1)m 4,化简得m 2-1=0,解得m =1或m =-1, 故所求直线l 的方程为x -y -1=0或x +y -1=0.三、考卷比较本试卷新课标全国卷Ⅰ相比较,基本相似,具体表现在以下方面: 1. 对学生的考查要求上完全一致。
即在考查基础知识的同时,注重考查能力的原则,确立以能力立意命题的指导思想,将知识、能力和素质融为一体,全面检测考生的数学素养,既考查了考生对中学数学的基础知识、基本技能的掌握程度,又考查了对数学思想方法和数学本质的理解水平,符合考试大纲所提倡的“高考应有较高的信度、效度、必要的区分度和适当的难度”的原则. 2. 试题结构形式大体相同,即选择题12个,每题5分,填空题4 个,每题5分,解答题8个(必做题5个),其中第22,23,24题是三选一题。
题型分值完全一样。
选择题、填空题考查了复数、三角函数、简易逻辑、概率、解析几何、向量、框图、二项式定理、线性规划等知识点,大部分属于常规题型,是学生在平时训练中常见的类型.解答题中仍涵盖了数列,三角函数,立体何,解析几何,导数等重点内容。
3. 在考查范围上略有不同,如本试卷第3题,是一个积分题,尽管简单,但全国卷已经不考查了。
四、本考试卷考点分析表(考点/知识点,难易程度、分值、解题方式、易错点、是否区分度题)。