四川省成都市2016届高三第一次诊断性检测英语试题

2016年四川省成都市高三理科第一次诊断性检测数学试卷一、选择题（共10小题；共50分）1. 已知函数的导函数，若在处取到极大值，则的取值范围是A. B. C. D.2. 在中，“”是“”的A. 充分不必要条件B. 必要不充分条件C. 充要条件D. 既不充分也不必要条件3. 下图为一个半球挖去一个圆锥后的几何体的三视图，则剩余部分与挖去部分的体积之比为A. B. C. D.4. 设，，，则，，的大小顺序是A. B. C. D.5. 已知，为空间中两条不同的直线，，为空间中两个不同的平面，下列命题中正确的是A. 若，，则B. 若，，则C. 若，，则D. 若，，则6. 执行如图所示的程序框图，要使输出的结果不大于，则输入的整数的最大值为A. B. C. D.7. 巳知菱形的边长为，，点满足，，若，则的值为A. B. C. D.8. 过双曲线的左顶点作斜率为的直线，该直线与双曲线的两条渐近线的交点分别为，，若，则此双曲线的离心率为A. B. C. D.9. 设不等式组表示的平面区域为，若指数函数（且）的图象经过区域上的点，则的取值范围是A. B. C. D.10. 如果数列中任意连续三项奇数项与连续三项偶数项均能构成一个三角形的三边长，则称为“亚三角形”数列；对于“亚三角形”数列，如果函数使得仍为一个“亚三角形”数列，则称是数列的一个“保亚三角形函数”．记数列的前项和为，，且，若是数列的“保亚三角形函数”，则数列的项数的最大值为（参考数据：，）A. B. C. D.二、填空题（共5小题；共25分）11. 设复数满足（其中为虚数单位），则 ______．12. 的展开式中，的系数是______．13. 甲、乙两人在次综合测评中成绩的茎叶图如图所示，其中一个数字被污损，记甲、乙的平均成绩分别为甲，乙，则甲乙的概率是______．14. 如图，某房地产公司要在一块矩形宽阔地面上开发物业，阴影部分是不能开发的古建筑群，且要求用在一条直线上的栅栏进行隔离，古建筑群的边界为曲线的一部分，栅栏与矩形区域边界交于点，，则面积的最小值为______．15. 已知函数，若存在实数使得函数的值域为，则实数的取值范围是______．三、解答题（共6小题；共78分）16. 已知等比数列的公比，且．（1）求的值；（2）若，求数列的前项和．17. 某类题库中有道题，其中道甲类题，每题分，道乙类题，每题分，现从中任意选取道题组成问卷，记随机变量为此问卷的总分．（1）求的分布列；（2）求的数学期望．18. 已知向量，，设函数．（1）求函数取得最大值时取值的集合；（2）设，，为锐角三角形的三个内角，若，，求的值．19. 如图，菱形与正三角形的边长均为，它们所在平面互相垂直，平面，且．（1）求证： 平面；（2）若，求二面角的余弦值．20. 已知椭圆的左、右顶点分别为，，点为椭圆上异于，的任意一点．（1）求直线与的斜率乘积的值．（2）设，过点作与轴不重合的任意直线交椭圆于，两点，则是否存在实数，使得以为直径的圆恒过点?若存在，求出的值；若不存在，请说明理由．21. 已知函数．（1）当时，求函数的单调递减区间；（2）当时，设函数．若存在区间，使得函数在上的值域为，求实数的取值范围．答案第一部分1. B2. C3. C4. B5. D6. A7. A8. B9. D 10. A第二部分11.12.13.14.15.第三部分16. （1）因为，所以．由题意，得，所以．所以或．因为，所以．（2）因为，所以．所以．所以．所以．所以．17. （1）由题意，的所有可能取值为，，，．所以，，，，所以的分布列为（2）．18. （1）要使取得最大值，须满足取得最小值．所以，，所以，．所以当取得最大值时取值的集合为．（2）由题意，得．因为，所以，所以．因为，所以．所以19. （1）如图，过点作于，连接，．因为平面平面，平面，平面平面，所以平面，又因为平面，，所以，．所以四边形为平行四边形．所以．因为平面，平面，所以 平面．（2）连接由（Ⅰ），得为中点，又，为等边三角形，所以，分别以，，为，，轴建立如图所示的空间直角坐标系．，，，，，，设平面的法向量为．由得令，得．设平面的法向量为．由得令，得．，因为二面角是钝二面角，所以二面角的余弦值是．20. （1），．设点．则有，即．所以．所以直线与的斜率乘积的值为．（2）令，．因为与轴不重合，所以．由得，且应满足．所以由题意，得，即．因为，，所以，所以．将式代入上式，得，整理，得，解得或．经检验，对任意的都能使成立，故存在满足题意．21. （1）．当时，，单调递减；当时，，由，可得或；当时，，由，可得或．综上可得，当时，的减区间为；当时，的减区间为，；当时，的减区间为，．（2）当时，设函数，则，则，当时，，为增函数，因此，为增函数，在区间上递增．因为在上的值域是，所以，，，则在上至少有两个不同的正根．，令，求导得，．令，则，所以在上递增，，，当时，，所以；当时，，所以，所以在上递减，在上递增，所以，所以．。

四川省泸州市2025届高三第一次教学质量诊断性考试英语试题本试卷分为试题卷和答题卡两部分，其中试题卷由第Ⅰ卷(选择题) 和第Ⅱ卷(非选择题)组成, 共10页; 答题卡共2页。

满分150分, 考试时间120分钟。

注意事项：1. 答题前，考生务必在答题卡上将自己的学校、班级、姓名用0.5毫米黑色签字笔填写清楚，同时用2B铅笔将考号准确填涂在“考号”栏目内。

2. 选择题使用2B铅笔填涂在答题卡对应题目标号的位置上，如需改动，用橡皮擦擦干净后再选涂其它答案；非选择题用0.5毫米黑色签字笔书写在答题卡的对应框内，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。

3. 考试结束后将答题卡收回。

第Ⅰ卷(选择题，共95分)第一部分听力 (共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试题上的答案转涂到答题卡上。

第一节 (共5小题; 每小题1.5分, 满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

1. What is Tom doing?A. Beginning a journey.B. Giving an interview.C. Seeing Julieoff.2. When will the woman return?A. At 5:30.B. At 6:00.C. At 6:30.3. Where are the speakers most probably?A. In a bar.B. In a cinema.C. At a restaurant.4. What wvill the man trying to tell the woman?A. Being a lawyer is a good career choice.B. Teachers can always give good advice.C. Achieving goals takes time and patience.5. What are the speakers mainly talking about?A. A TV show.B. A dinner party.C. Daily housework.第二节 (共15小题; 每小题1.5分, 满分22.5分)听下面5段对话或独白。

双流电子信息学校题目分析报表英语重点是对图片和交际用语的阅读理解;本次试题需要学生思考,应用性较强;存在的问题：1.农场学生缺乏相关生活经验,看不懂图片；2.词汇量太少,影响理解；3.脱离上下文语境,找不准所选词语在上下文语境中的线索；4.缺乏跨文化交际意识,不理解文化背景知识;3、阅读理解阅读理解部分充分地体现了考试大纲的要求,题材丰富,体裁多样,语言地道,贴近社会,贴近时代,具有浓郁的人文和社会气息;既考查了考生对文章简单事实的表层理解,又要求考生能透过表面的文字信息来进行分析,综合和推理判断;其显着特点之一就是加大了对考生对文章主旨大意、推理判断能力的考查,还出现了难度较大的理解文章结构的题;暴露的问题有：1.对文章或段落的主旨和要义把握不好;2.猜测词义的能力不足;3.对部分事实细节的理解以及推理判断能力欠缺;4、完成对话补全对话一般是在语境中完成对话,本次考查就医的相关用语;由于是学生熟悉的话题,学生很容易就答对;本题总体得分较高;5、翻译本次的考查3各英翻汉,2个汉翻英,而且是一空一词,难度较适中;但是,suitable 学生不会写,失分集中于此;6、写作本次调考,依旧以话题材料的形式呈现写作内容,它要求考生根据提示语,写书面通知,该类作文已进行过复习;基本的文章结构和层次梳理大部分学生都能完成,但是对于时态的确定却有很多错误;特别是句与句之间的衔接、过渡和书面通知的格式;由于对学生语言表达能力要求较高,既考查了学生思维的条理性,又对语言的丰富性以及行文的连贯性提出了很高的要求;而且有部分学生要充分理解本句话的含义可能都存在着一定的问题,这样优秀的文章并不是很多;存在的问题有：1. 篇章组织能力欠缺,文章结构欠合理;2.基本功不是很扎实,语病太多;时态语态概念模糊不清,滥用现象严重;3.语言连贯性不强,语句支离破碎;4.文章缺少亮点,语言文字功底不是很深厚;5.表述不太地道,汉语式英语屡见不鲜;四、后期备考建议1.研读考纲,加强试题研究,增强备考的科学性研读考纲,充分领会我省高考的考纲精神,切实把握高考新动向、新思路；2016年高考考纲虽然趋于稳定,但我省每年的高考试题却是变化的;稳中求变、稳中求进、稳中求新,命题思路将有利于推动新课程改革与新教材的有效结合; 而“新”将体现在语言、内容的创新,考查内容和现实生活、社会发展结合紧密;英语命题重在考查语言综合运用能力,所以对于学生来说在复习中要注意将书本知识与现实生活中的点滴结合,活学活用,使自己在高考中占优势;同时要明确教纲、教材、考纲考试说明、考题之间的辩证关系教纲是依据,教材是载体,考纲是标准,考题是核心,充分消化高考精神;以近三年四川省高考真题为例,参考全国各地最新高考模拟试题,剖析试题特点、寻找相关规律、探寻解题思路和方法技巧、有针对性的上好复习课和评讲课,切实增强备考的科学性;2.反思教学,加强集体教研,增强备考的实效性既要研究考试,也要反思教学;高三英语后期复习备考要具有针对性和实效性,课堂教学中要充分重视并善于利用近年来的高考原题,以其中所体现的命题原则为参照,慎选善用各方面资料,真正落实考纲考点;因此,强化集体备课,以校本资料为载体进行教学是首当其中的重要课题;精选、精编复习练习,走进茫茫题海,去粗取精、博采众长,为学生精心组织针对性强的训练题,把学生从茫茫题海中解放出来;要充分发挥备课组的集体智慧,集思广益;要精心排查,梳理知识点,对要点、重点、难点进行重点分析,然后集体讨论教法和学法;老师们要经常互相听课,共同探讨有关教学问题;同时,做好对外交流学习工作,要加强合作交流,多向兄弟学校学习,取人之长,补己之短;3.夯实基础,加强知识网络构建,增强语言基础知识的储备1．注重词汇学习;要以课文和高考词汇表为蓝本,对考纲中所要求的2200个词汇和300个习惯用法或固定搭配进行全面的识记和重点的掌握;在注意词汇的音、行、义和基本用法的基础上,还要对它的近义,反义和相关词汇用法做好对比,辨析和归纳整理;要特别注意词汇的语境性,要尽可能的帮助学生在创设的自然而真实的语境中来活用词汇;同时,由于高考对词汇特别是动词涵义的拓展性的考查不断地加强,在复习中,教师要引导学生充分利用好报刊和词典,来扩充和丰富自己的词汇知识;2．语法知识复习要系统化和专题化;作为完成句子的主要依托,在复习中我们对于每一个语法项目都要理清最基本的概念,语法知识的学习要系统化,条理化和网状化;对于高考中出现率较高的语法项目要结合完成句子的专题复习,重点复习,力求让学生达到灵活运用的目的;要特别关注课本中的主干语法项目如名词性从句、定语从句、强调结构、形容词的级、动词的时态、语态和非谓语动词、情态动词等；另外,it的用法、独立主格结构、介词复合结构、主谓一致、倒装语序等也需要进一步学习和加强;经过三年的实践,目前的完成句子题的命题更趋成熟,阅卷标准更客观,但其答案的不唯一性也有所增加,所以考生在训练思维的严谨性的同时,要对照此题的评分标准,规范答题,以提高得分率;4.注重语篇,加强专题训练,提升语言综合能力;1阅读要广泛涉猎,培养语篇意识;阅读能力是高考对学生综合运用能力的重点考查项目之一,在整个英语试题占相当大的比例;而纵观近几年高考试题的阅读材料,不难发现,这些材料大多数都是原汁原味的英语材料,且都具有一定的新闻性,其文化含量大,文章的行文风格更具英语语言的特点,遣词造句也更加地道;所以在复习中,教师要选用多题材,多体裁,原汁原味的,英语语言文化背景鲜明的,富有时代感的文章来进行限时训练,提高阅读速度;同时要加强对阅读中划线题设题的研究,帮助学生进行长难句的分析;培养语篇意识,增强构词法知识和上下文猜词的能力;也可通过报刊杂志的阅读和新材料的补充学习来进行广泛涉猎,培养丰富的文化底蕴和语篇感知能力,力求在语篇的学习中来真正地培养学生的推理、判断、归纳等获取信息、处理信息、分析问题和解决实际问题的能力;2翻译题主要检测学生对基础知识尤其是句法结构的掌握和语言的表达;学生要做到“三看”,一看全句,包括汉语和英语；二看句子要求,弄清考什么语法结构,如何准确运用括号里所给的关键词进行准确翻译；三看翻译过后的句子;3书面表达要注意布局谋篇,加大写作中思维品质的训练;在书面表达的训练中,我们还要多关注优秀文章的六大特征,即条理性、准确性、流畅性、简洁多样性、思想性和美观性;同时还要在布局谋篇,遣词造句上多下工夫;通过背诵美文和大量的阅读活动,来丰富自己的语言;要注意文章的语言质量和表达形式的多样性;合理选用连接成分,注意关联词、过渡语和标志词的使用,使上下文条理清晰,结构严密,意思连贯,层次分明,多给自己的文章增加得分的亮点;总之,我们只有对照考纲,结合高考英语试题的命题思路、命题特点、情景材料、考查内容、考查重点、考生答题情况等进行分析、研究透彻、才能在在备考的最后阶段做到有的放矢、高质高效,确保2017年高考的成功;。

成都市高2013级高中毕业班第一次诊断性检测语文本试卷分第I卷(阅读题)1至9页，第Ⅱ卷(表达题)9至10页，共10页，满分150分，考试时间150分钟。

注意事项：1.答题前，务必将自己的姓名、考籍号填写在答题卡规定的位置。

2答选择题时，必须使用2B铅笔将答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦擦干净后，再选涂其它答案标号。

3.答非选择题时，必须使用0. 5毫米黑色签字笔，将答案书写在答题卡规定的位置上。

4.所有题目必须在答题卡上作答，在试题卷上答题无效。

5.考试结束后，只将答题卡交回。

第I卷（阅读题，共70分）一、现代文阅读(9分，每小题3分)阅读下面的文字，完成1~3题。

有宋以来，接地气的词、小说、戏曲的兴盛，促成了中国文化的下移，由此导致官方意识形态传播的因时而变。

在承袭固有的诗文传播之外，如何使词、小说、戏曲担负起像诗文一样宣传正能量的职责，不仅要突破“诗文为贵，词曲为卑”的陈旧文体观念，更要面对的是文化下移带来的意识形态有效传播途径的探索。

戏曲与意识形态的传播虽有深刻的关联，但官府因其“不登大稚之堂”而疏于管理。

随着戏曲从业人员的壮大，题材内容思想的拓边扩界，“优孟衣冠”式的宫廷娱乐逐渐转为匀栏瓦肆的演出，这导致“违规越礼”之事时时有之。

如《墙头马上》，剧中李千金与裴少俊在后花园违规越礼，颇为大胆。

此类传播有违儒家教化，这一现象逐渐引起官府的警觉，于是针对戏曲的法律条文也多了起来。

“诸妄撰词曲，诬人以犯上恶言者处死”等条文在《元史·刑法志》中有明确的记载。

明承元风，逐渐强化。

《御制大明律》云:“凡乐人搬做杂剧、戏文，不许妆扮历代帝王后妃、忠臣烈士、先圣先贤神像，违者杖一百;官民之家，容令妆扮者与之同罪。

其神仙道扮及义夫节妇、孝子顺孙、劝人为善者，不在禁限。

”明初，朱元璋盛推《琵琶记》。

《琵琶记》出现之前，蔡伯谐、赵五娘的故事已在社会上广为流传，但内容多为蔡伯谐应试及第，抛亲弃妻，被暴雷轰死。

四川省部分地区2023届高三上学期第一次诊断性考试英语试题(解析版)分类汇编七选五专题2023届四川省德阳市高中高三上学期第一次诊断考试英语试题二、七选五“If you’re so smart, how come you aren’t happy?”That’s Naval Ravikant’s challenge to everyone bathing in the suffering of-their own intelligence. ___16___. Here are some of the most common reasons why smart people fail to be happy.Smart people always overthink. Some 50%-75% of adults overthink, and it affects our productivity, creativity, energy, sleep, and even our eating habits. ___17___Worst of all, we think overthinking is smart, but it’s dangerous.____18____ . When you have high expectation for yourself, you become too outcome-focused. If nothing less than the best will do, you’ll have a hard time appreciating anything in your life, from your achievements at work to your relationships to your hobbies. You’ll also constantly criticize yourself for your mistakes. Intelligent people know how much they don’t know. This only gets worse when they learn more.Smart people tend to stay away from others. Humans are social beings. No one wants to always be alone forever, and while studies show that intelligent people usually enjoy less social interaction than others, it does not mean they don’t require connections with people at all. ___19___For many people, highly intellectual (深奥的) topics are too exciting most of the time, but that doesn’t mean they don’t know what it’s like to be an outsider. Everyone experiences that at some point in their life. Therefore, smart people’s case of lone wolf syndrome (独狼综合症)is overblown usually．____20____But there’s always common ground to be found if you look for it, and for smart people, this is actually quite easy to do.A．Smart people usually expect too much.B．People consider intelligent ones as aliens.C．It also prevents our learning and makes us age faster.D．That is often the case for many of those smart people.E．Smart people sometimes have higher expectations for others.F．They often feel misunderstood looking for fewer connections.G．They make themselves more of an outsider than they actually are.2023届四川省广安市高三上学期第一次诊断性考试英语试题二、七选五A microscope is a scientific instrument that reveals objects which are normally too small for the human eyes to see. Microscopes use several lenses(镜片) to provide a large image of a tiny object and they have been important in the study of biology.__16__. People noticed that single lenses could make objects larger and also that they could focus the sun’s rays to start a fire. These early lenses were called burning glasses. This led to the development of eye-glasses or spectacles in the early 1300s.In the late 1500s, two Dutch spectacle makers, Hans and Zaccharias Janssen, invented the first true microscope. __17__, and they were surprised to discover that they could make objects look many times bigger. Galileo, an Italian scientist, improved the quality of the lenses to produce better quality microscopes and telescopes.Anthony Leeuwenhoek(1632-1723) and Robert Hooke(1635-1703) were two early users of the microscope. __18__ . Leeuwenhoek discovered bacteria and showed how a drop of water is full of living creatures. Robert Hooke wrote a book Micrographia which described this new world of micro-organisms with drawings that amazed the world.For two hundred years, there was little development of the microscope until new industrial techniques produced accurate and powerful lenses. __19__ , so they were often inaccurate. In the early twentieth century, the USA and Germany produced powerful microscopes in large numbers for export around the world.Nowadays, scientists still use microscopes that use light to see small objects such as cells and micro-organisms. __20__. These electron microscopes have a magnification(放大) of a million times and now we can see molecules(分子)and atoms.A．They used several lenses together in a tubeB．Microscopes were expensive in their early daysC．Before this time, people made the lenses by handD．They made many important discoveries for mankind by using itE．The word microscope comes from the New Latin word microscopiumF．But they also have so powerful microscopes that use a different technologyG．The discovery of glass over 2000 years ago led to early experiments with lenses2023届四川省凉山州高中毕业班第一次诊断性检测英语试题二、七选五How to learn Wing Chun(咏春)Wing Chun is a style of kung fu that emphasizes close fighting, quick punches(击拳)and tight defense to overcome opponents. This traditional Chinese martial art is a complex kung fu method that requires years of practice to master. ____16____.Learn the center line theoryA foundation of Wing Chun is the protection of your body’s center line. Imagine a line that starts atthe middle top of your head and travels along the middle of your chest to the lower body. ____17____. It must be protected at all times.Find a Wing Chun AcademyMartial arts schools often focus on one style of martial arts, especially for serious students. Wing Chun academies or clubs may be attached to a martial arts association. Search online or in a phone book for local Wing Chun schools. And then meet with the instructors and ask about their background. ____18____.____19____Find an area in your house where you can practice Wing Chun. Make sure there is enough room for you to move your body around in all directions. Check by swinging your arms and legs around. You do not want your moves to be disturbed by furniture in the room.Find a partner to practice withLearning the movements on your own will only take you so far. Eventually, you’ll need to start learning how your movements connect with an opponent. ____20____. This person can also help encourage you and give you feedback on your form.A．Make a special space for practicing.B．Find a room equipped with furniture.C．Having a partner will give you good practice.D．So you have to find a good instructor to master it.E．But you can easily start learning it by the following tips.F．For example, how many years of experience do they have?G．This is the center line of your body that is vulnerable(易受伤的).2023届四川省南充市高三上学期高考适应性考试（一诊）英语试题二、七选五Green Is GoodPlanting and growing things offers a lot more than fresh vegetables and flowers. Working in a nice outdoor space can help you stay refreshed, promote your creativity and enrich your leisure activities. ____16____. There are more advantages.Providing a fun workoutIt’s wonderful to get out in the garden on a beautiful day to give it a tidy. Planting seeds, pulling up weeds, moving pots, pushing a lawnmower, and other gardening tasks actually provide a whole-body, moderate-intensity workout for people, especially for adults. ____17____, which might keep you in motion longer than traditional exercise.____18____Having dirt under your fingernails may be a sign of poor hygiene. but scientists say it could also be a mark of good health. Thanks to beneficial bacteria found in soil, gardening may boost your immune system, helping you get sick less and fight off infections easier.Nourishing your spirit____19____. According to an experiment conducted by NASA, scientists found that planting and nurturing seeds, even in small pots, lifted astronauts’moods and eased their stress in the severe environment of outer space. And if gardening can do that for astronauts, it should be more than good enough for those of us who watch them on TV.Increasing coordination and strengthHand and finger strength, flexibility and coordination are essential for everyday tasks like opening jars, carrying packages and picking up children. ____20____. Therefore, make good use of gardening as an ideal approach to enhancing your coordination and strength.A．Sharpening your mindB．And that’s just for startersC．Improving your immune systemD．Even better, whatever your age, it is a beneficial activityE．Working with plants provides stress relief and positive sensory stimulationF．The benefits come from a combination of physical exercise and the stress reduction G．Gardening is a great way to improve and maintain those fine motor skills and muscles2023届四川省内江市高三第一次模拟考试英语试题One of the main reasons why you think you can’t travel the world is money. “I can’t afford it, ”people say to me, “I have too many expenses. ”____16____ However, here are some simple and creative ways to cut your expenses and make money. Then you can get on the road sooner.Track your spending. The first thing you need to do to save money is to know where you’re spending it. In an age where you tap an app and a car comes, it’s easy not to think about how much we spend. Use a website like Mint and track all your expenses. ____17____Set up a separate bank account. Financial experts have long recommended this. Think of this like a piggy bank. Don’t use it. It’s your travel fund. How can you do it? ____18____ No matter how much you put away there, putting that money in that account means it’s away from your spending. Before long, you’ll have a nice nest egg.____19____ Love Starbucks? Well, Starbucks loves your money. Coffee is a daily expense that quietly drains your bank account without you even noticing. That daily $5 coffee costs you $150 per month. At $1, 800 per year, that’s two months in Southeast Asia.Learn to cook. ____20____ So, to keep your food bill low, cook more often. I learned to cook while incollege and before I left for my first trip, I cut down my eating out to two times per week. Every other meal I cooked myself and saved more money.A．Give up drinking coffee every day.B．Drink less coffee and open a bank account.C．We all need to eat but restaurants are expensive.D．Most of us certainly have expenses which we can’t cut.E．Have money automatically deposited into that account every month.F．You’ll be surprised at where your expenses go once you start paying attention.G．To reach a travel goal, I never spend more than 20-30 minutes making a meal.参考答案2023届四川省德阳市高中高三上学期第一次诊断考试英语试题16．D17．C18．A19．F20．G【导语】本文是一篇说明文。

成都市高2013级高中毕业班第一次诊断性检测数学(理工类)参考答案及评分意见第Ⅰ卷㊀(选择题㊀共50分)一㊁选择题:(本大题共10小题,每小题5分,共50分)1.B ;㊀2.C ;㊀3.C ;㊀4.B ;㊀5.D ;㊀6.A ;㊀7.A ;㊀8.B ;㊀9.D ;㊀10.A.第Ⅱ卷㊀(非选择题,共100分)二.填空题:(本大题共5小题,每小题5分,共25分)11.1+5i ;㊀㊀12.-280;㊀㊀13.25;㊀㊀㊀14.23;㊀㊀15.[2,1+3].三㊁解答题:(本大题共6小题,共75分)16.解:(Ⅰ)ȵ2(a n +a n +2)=5a n +1,㊀ʑ2(a n +a n q 2)=5a n q .由题意,得a n ʂ0,ʑ2q 2-5q +2=0.ʑq =2或12.ȵq >1,ʑq =2.㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 6分㊀(Ⅱ)ȵa 25=a 10,㊀ʑ(a 1q 4)2=a 1q 9.ʑa 1=2.ʑa n =a 1q n -1=2n .ʑa n 3n =(23)n .ʑS n =23[1-(23)n ]1-23=2-2n +13n .㊀㊀㊀㊀㊀㊀㊀㊀㊀ 12分17.解:(Ⅰ)由题意,X 的所有可能取值为15,20,25,30.ȵP (X =15)=C 34C 39=121,P (X =20)=C 24㊃C 15C 39=514,P (X =25)=C 14㊃C 25C 39=1021,P (X =30)=C 35C 39=542,ʑX 的分布列为:X15202530P 1215141021542㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 7分(Ⅱ)E (X )=15ˑ121+20ˑ514+25ˑ1021+30ˑ542=703.㊀㊀ 12分18.解:(Ⅰ)f (x )=c o s 2x +(32s i n x -12c o s x )2=c o s 2x +(34s i n 2x +14c o s 2x -32s i n x c o s x ))页4共(页1第案答)理(题试考 诊一 学数=12-(-34c o s 2x +34s i n 2x )=12-32s i n (2x -π3).㊀㊀㊀㊀㊀㊀㊀ 3分要使f (x )取得最大值,须满足s i n (2x -π3)取得最小值.ʑ2x -π3=2k π-π2,k ɪZ .ʑx =k π-π12,k ɪZ .㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 5分ʑ当f (x )取得最大值时,x 取值的集合为{x |x =k π-π12,k ɪZ }. 6分(Ⅱ)由题意,得s i n (2C -π3)=32.ȵC ɪ(0,π2),ʑ2C -π3ɪ(-π3,2π3).ʑC =π3.㊀㊀㊀㊀㊀㊀ 9分ȵB ɪ(0,π2),ʑs i n B =45.ʑs i n A =s i n (B +C )=s i n B c o s C +c o s B s i n C =45ˑ12+35ˑ32=4+3310.㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 12分19.解:(Ⅰ)如图,过点E 作E H ʅB C 于H ,连接HD .ʑE H =3.ȵ平面A B C D ʅ平面B C E ,E H ⊆平面B C E ,平面A B C D ɘ平面B C E =B C ,ʑE H ʅ平面A B C D .又ȵF D ʅ平面A B C D ,F D =3.ʑF D ʏE H .ʑ四边形E HD F 为平行四边形.ʑE F ʊHD .ȵE F ⊄平面A B C D ,HD ⊆平面A B C D ,ʑE F ʊ平面A B C D .㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 6分(Ⅱ)连接HA .由(Ⅰ),得H 为B C 中点,又øC B A =60ʎ,ΔA B C 为等边三角形,ʑHA ʅB C .分别以H B ,HA ,H E 所在直线为x ,y ,z 轴建立如图所示的空间直角坐标系H -x y z .则B (1,0,0),F (-2,3,3),E (0,03),A (0,3,0).B F ң=(-3,3,3),B A ң=(-1,3,0),B E ң=(-1,0,3).设平面的法向量为n 1=(x 1,y 1,z 1).由n 1㊃B F ң=0n 1㊃B E ң=0{,得-3x 1+3y 1+3z 1=0-x 1+3z 1=0{.令z 1=1,得n 1=(3,2,1).设平面A B F 的法向量为n 2=(x 2,y 2,z 2).由n 2㊃B F ң=0n 2㊃B A ң=0{,得-3x 2+3y 2+3z 2=0-x 2+3y 2=0{.)页4共(页2第案答)理(题试考 诊一 学数令y 2=1,得n 2=(3,1,2).ʑc o s <n 1,n 2>=n 1㊃n 2|n 1|㊃|n 2|=3+2+28=78.ȵ二面角A -F B -E 为钝角,故二面角A -F B -E 的余弦值是-78.㊀㊀㊀㊀㊀ 12分20.解:(Ⅰ)A (-3,0),B (3,0).设点P (x ,y )(y ʂ0).则有x 23+y 22=1,即y 2=2(1-x 23)=23(3-x 2).ʑk P A ㊃k P B =y x +3㊃y x -3=y 2x 2-3=23(3-x 2)x 2-3=-23.㊀ʑ直线P A 与P B 斜率乘积的值为-23.㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 4分(Ⅱ)令M (x 1,y 1),N (x 2,y 2).ȵM N 与x 轴不重合,ʑ设l M N :x =m y +t (m ɪR ).由x =m y +t 2x 2+3y 2-6=0{,得(2m 2+3)y 2+4m t y +2t 2-6=0.ʑΔ=16m 2t 2-4(2m 2+3)(2t 2-6)>0y 1+y 2=-4m t 2m 2+3y 1㊃y 2=2t 2-62m 2+3ìîí.㊀㊀㊀㊀㊀㊀ (∗)由题意,得AM ʅA N .即AM ң㊃A N ң=0.ȵx 1=m y 1+t ,x 2=m y 2+t ,ʑAM ң㊃A N ң=[m y 1+(t +3)][m y 2+(t +3)]+y 1y 2=0.ʑ(1+m 2)y 1y 2+m (t +3)(y 1+y 2)+(t +3)2=0.将(∗)式代入上式,得(1+m 2)2t 2-62m 2+3+m (t +3)-4m t 2m 2+3+(t +3)2=0.即2t 2-6+2m 2t 2-6m 2-4m 2t 2-43m 2t +(2m 2+3)(t 2+23t +3)=0.展开,得2t 2-6+2m 2t 2-6m 2-4m 2t 2-43m 2t +2m 2t 2+43m 2t +6m 2+3t 2+63t +9=0.整理,得5t 2+63t +3=0.解得t =-35或t =-3(舍去).经检验,t =-35能使Δ>0成立.故存在t =-35满足题意.㊀㊀㊀㊀㊀㊀㊀㊀ 13分21.解:(Ⅰ)f (x )的定义域为(0,+¥),f ᶄ(x )=-(a x -1)(x -1)x (a >0).①当a ɪ(0,1)时,1a >1.由f ᶄ(x )<0,得x >1a 或x <1.ʑ当x ɪ(0,1),x ɪ(1a ,+¥)时,f (x )单调递减.ʑf (x )的单调递减区间为(0,1),(1a ,+¥).)页4共(页3第案答)理(题试考 诊一 学数②当a =1时,恒有f ᶄ(x )ɤ0,ʑf (x )单调递减.ʑf (x )的单调递减区间为(0,+¥).③当a ɪ(1,+¥)时,1a <1.由f ᶄ(x )<0,得x >1或x <1a .ʑ当x ɪ(0,1a ),x ɪ(1,+¥)时,f (x )单调递减.ʑf (x )的单调递减区间为(0,1a ),(1,+¥).综上,当a ɪ(0,1)时,f (x )的单调递减区间为(0,1),(1a ,+¥);当a =1时,f (x )的单调递减区间为(0,+¥);当a ɪ(1,+¥)时,f (x )的单调递减区间为(0,1a ),(1,+¥).㊀㊀. 6分(Ⅱ)当a =0时,g (x )=x 2-x l n x ,x ɪ(0,+¥),g ᶄ(x )=2x -l n x -1,[g ᶄ(x )]ᶄ=2-1x .当x ɪ[12,+¥)时,[g ᶄ(x )]ᶄ=2-1x ⩾0,ʑg ᶄ(x )在[12,+¥)上单调递增.又g ᶄ(12)=l n 2>0,ʑg ᶄ(x )⩾g ᶄ(12)>0在[12,+¥)上恒成立.ʑg (x )在[12,+¥)上单调递增.由题意,得m 2-m l n m =k (m +2)-2n 2-n l n n =k (n +2)-2{.原问题转化为关于x 的方程x 2-x l n x =k (x +2)-2在[12,+¥)上有两个不相等的实数根.㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 9分即方程k =x 2-x l n x +2x +2在[12,+¥)上有两个不相等的实数根.令函数h (x )=x 2-x l n x +2x +2,x ɪ[12,+¥).则h ᶄ(x )=x 2+3x -2l n x -4(x +2)2.令函数p (x )=x 2+3x -2l n x -4,x ɪ[12,+¥).则p ᶄ(x )=(2x -1)(x +2)x 在[12,+¥)上有p ᶄ(x )⩾0.故p (x )在[12,+¥)上单调递增.ȵp (1)=0,ʑ当x ɪ[12,1)时,有p (x )<0即h ᶄ(x )<0.ʑh (x )单调递减;当x ɪ(1,+¥)时,有p (x )>0即h ᶄ(x )>0,ʑh (x )单调递增.ȵh (12)=910+l n 25,h (1)=1,h (10)=102-10l n 212>102-1012=233>h (12),ʑk 的取值范围为(1,910+l n 25].㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀㊀ 14分)页4共(页4第案答)理(题试考 诊一 学数。

四川省达州市2025届高三12月第一次诊断性测试英语试题(本试卷满分150分，考试时间120分钟)2024.12注意事项：1.答题前，考生务必将自己的班级、姓名、准考证号用0.5毫米的黑色签字笔填写在答题卡上，并检查条形码粘贴是否正确。

2.选择题使用2B铅笔填涂在答题卡对应题目标号的位置上，非选择题用0.5毫米的黑色签字笔书写在答题卡的对应题框内，超出答题区域书写的答案无效；在草稿纸、试题卷上答题无效。

3.考试结束以后，将答题卡收回。

第一部分听力(共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节(共5小题；每小题1.5分，满分7.5分)听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

例: How much is the shirt?A.£19.15.B.£9.15.C.£9.18.答案是B.1. Why did Claudie go to Chengdu again?A. To visit her friends.B. To taste delicious food.C. To chair a meeting.2. Where does the conversation probably take place?A. At a travel agency.B. At a phone store.C. At home.3. What is the man still suffering from?A. Sore eyes.B. A stuffy nose.C. A headache.4. What is Harrison doing?A. Giving suggestions.B. Having a yoga class.C. Asking for help.5. Why is Mom upset according to the girl?A. Dad has got a low salary.B. Dad came home too late.C. Dad forgot Mom's birthday.第二节 (共15小题;每小题1.5分,满分22.5分)听下面5段对话或独白。

成都市2012届高中毕业班第一次诊断性检测英语本试卷分选择题和非选择题两部分。

第Ⅰ卷（选择题）1至9页，第Ⅱ卷（非选择题）第10页，共10页；满分150分，考试时间120分钟。

第Ⅰ卷（选择题，共100分）第一部分英语知识运用（共两节，满分50分）第一节语法和词汇知识（共20小题；每小题1分，满分20分）从A、B、C、D四个选项中，选出可以填入空白处的最佳选项，并在机读卡上将该项涂黑。

1. —Excuse me! May I use your computer now?—______ I’m typing an important letter.A. I hope so.B. I’m not afraid not.C. Why not?D. Will you?2. Harry is _____ failure as a learner driver, because he failed to pass _____ driving test again.A. the; /B. /; theC. a; theD. the; the3. You _____ make any noise, for the Senior 3 Monthly Test is now in progress.A. wouldn’tB. won’tC. needn’tD. mustn’t4. The TV show, China’s Got Talent III, has a large audience,_____ from children to grandparents.A. rangedB. to rangeC. rangingD. having ranged5. ______ it is human nature to be curious, it is also our responsibility to respect others’ service.A. WhileB. BecauseC. AsD. Since6. The number of people who _______ exposed to second-hand smoking in public places ____ up to 740 million in China.A. is; areB. are; areC. is; isD. are; is7. The Chinese citizens in Libya were anxious every day _____ they were safely sent back home by the Chinese government.A. whenB. unlessC. untilD. after8. You can _____ Jack. If he says he’ll do something for you, he never lets you down.A. carry onB. insist onC. put onD. depend on9. In Japan, all students _____ how to prepare for and react to a disaster since a young age.A. were taughtB. taughtC. have taughtD. have been taught10. One activity of the Easter celebration is the Easter egg hunt _____ children try to find the hidden chocolate eggs.A. whenB. whereC. whichD. whose11.—Are we about to have dinner?—Yes, and it _______ in the dining hall.A. is being servedB. is servingC. will serveD. will be served12. A well-written topic sentence lets the readers know what the rest of the paragraph will be____.A. fromB. inC. forD. about13. You are _____ advised to get your car checked before a long drive.A. deeplyB. heavilyC. stronglyD. slightly14. The cleaner _______ me￡40 for cleaning my house the other day.A. costB. spentC. usedD. charged15.—The King’s Speech is a moving and enjoyable film.--______. It has won four Oscars.A. No, not at allB. AbsolutelyC. ProbablyD. Forget it16. Only when you leave school ______ how much you love it.A. you will findB. will you findC. you findD. did you find17. It was in 2005 when I was here on business _____ I found Chengdu so comfortable for people to live in.A. whenB. beforeC. thatD. which18. It is uncertain _____ the Middle East will become really peaceful with so many blooding conflicts.A. whetherB. thatC. whatD. where19. The British people believe that the 2012 London Olympics _____ from July 27th to August 12th will be another great success.A. heldB. holdingC. to be heldD. being held20. My old car refused _____ and I was told that I had to pay $500 to have it fixed.A. being startedB. startedC. startingD. to start第二节完形填空（共20小题；每小题1．5分，满分30分）阅读下面短文，从短文后各题所给的四个选项（A．B．C和D）中，选出可以填人空白处的最佳选项，并在机读卡上将该选项涂黑。

四川省部分地区2023届高三上学期第一次诊断性考试英语试题(解析版)分类汇编语法填空专题2023届四川省德阳市高中高三上学期第一次诊断考试英语试题四、用单词的适当形式完成短文阅读下面短文，在空白处填入一个适当的单词或括号内单词的正确形式。

Thirty-six visually-impaired (视力缺损的) visitors head to the Hulun Buir grassland in north China’s Inner. Mongolia. Li Manshuo is one of the volunteers___41___(accompany)them. Her “job” is to help three group members “experience” the sights as best they can.Li is studying___42___ a master’s degree in tourism management and she’s using her midterm brea k to undertake the trip. “Visually-impaired travelers get the experience___43___(main) through smelling or listening, or touching with their hands,” Li says. “Also, with our ___44___(describe), they can create a picture of the scene in their minds.”Guiding instead of taking over, Mei Zhiyu is the director of Zhisu Commonweal Organization, a Suzhou-based non-profit organization that, through___45___(it) own travel agency, has given more than 1, 000 brave blind and low-vision travelers thechance___46___(explore) places all over China.Before a tour sets out, the volunteers, each of ___47___ is normally assigned to two or three travelers, receive safety instructions and basic training. Throughout the trip, their performance___48___(assess) by Mei on a d aily basis. “The most important thing is not to think of them as incapacitated people,” he says.“Actually, most visually-impaired people have a ____49____(great) capacity to look after themselves than we think, and we try to offer them the same experienc es as sighted travelers.”Mei likes his role to work like a bridge, connecting the visually-impaired to the outside world. “Even though they can’t see,”he says, “they can experience _____50_____ world in other ways.”2023届四川省广安市高三上学期第一次诊断性考试英语试题四、用单词的适当形式完成短文阅读下面短文, 在空白处填入1个适当的单词或括号内单词的正确形式。