上海春季高考试卷精选文档
2023年高考英语试题(春季上海)(2023年word版)
2023年上海市普通高等学校春季招生考试英语试卷第I卷(共105分)一、语法从下列各题地A、B、C、D四个选项中, 选出一个最佳解析。
1. —Where’s _______ nearest bookstore?—There’s one at _______ end of the street.A. the; anB. a; theC. the; theD. a; an2. Mr. Alcott, headmaster of the school, refused to accept _______ of the three suggestions made by the Students’ Union.A. eitherB. neitherC. anyD. none3. The suit fitted him well _______ the colour was a little brighter.A. except forB. except thatC. except whenD. besides4. Although Linda tried hard in the exam, she did _______ than her brother.A. more badlyB. much betterC. much badlyD. much worse5. The manager entered the office and was happy to learn thatfourfifths of the tickets _______ . A. was booked B. had been bookedC. were bookedD. have been booked6. You had one of your teeth pulled out yesterday, _______ ?A. had youB. hadn’t youC. did youD. didn’t you7. Eat _______ cake you like and leave the others for _______ comes in late.A. any; whoB. every; whoeverC. whichever; whoeverD. either; whoever8. It was how the young man had learned five foreign languages_______ attracted the audience’s interest.A. so thatB. thatC. whatD. in which9. The gentleman _______ you told me yesterday proved to be a thief.A. whoB. about whomC. whomD. with whom10. He let me repeat his instruction _______ sure that I understood what was _______ after he went away.A. to make; to be doneB. making; doingC. to make; to doD. making; to do11. I told him what I was surprised _______ his attitude towards his study.A. isB. wasC. at isD. at was12. Will those _______ the children from abroad come to the headmaster’s office?A. teachingB. teachC. who teachesD. who teaching13. There was no news;_______ , she did not give up hope.A. moreoverB. thereforeC. butD. nevertheless14. I should have been there, but I _______ not find the time.A. wouldB. couldC. mightD. should15. I shall stay in the hotel all day _______ there is news of the missing child.A. in caseB. no matterC. in any caseD. ever since16. Every possible means _______ to prevent the air pollution, but the sky is still not clear.A. is usedB. are usedC. has been usedD. have been used17. These houses are sold at such a low price _______ people expected.A. likeB. asC. thatD. which18. While building a tunnel through the mountain, _______ .A. an underground lake was discoveredB. there was an underground lake discoveredC. a lake was discovered undergroundD. the workers discovered an underground lake19. —You seem to show interest in cooking.—What? _______ , I’m getting tired of it.A. On the contraryB. To the contraryC. On the other handD. To the other hand20. —You should have thanked her before you left.—I meant _______ , but when I was leaving I couldn’t find her anywhere.A. to doB. toC. doingD. doing so二、词汇从下列各题地A、B、C、D四个选项中, 选出一个最佳解析。
上海语文春考卷含答案
上海语文春考卷一、文言文阅读（共35分）（一）默写与默读（10分）（1）青青子衿，悠悠我心。
（2）窈窕淑女，君子好逑。
（3）_______，不如须臾之所学也。
（4）_______，非蛇鳝之穴无可寄托者。
（段落略）（二）文言文翻译与解析（15分）（文言文段落略）（1）_______（2）_______2. 分析下列句子中的人物形象特点（5分）（1）_______（2）_______3. 结合全文，谈谈你对作者观点的理解（5分）（三）古代诗歌鉴赏（10分）（诗歌略）1. 赏析诗句中的意象和表现手法（5分）2. 分析诗人的情感态度（5分）二、现代文阅读（共40分）（一）论述类文本阅读（15分）（文本略）1. 概括文章的中心论点（5分）2. 分析文章的论证思路和论证方法（5分）3. 评价文章的论证效果（5分）（二）文学类文本阅读（25分）（文本略）1. 概括故事情节（5分）2. 分析人物形象特点（5分）3. 赏析文本中的艺术手法（5分）4. 探讨作者的创作意图（5分）5. 结合现实，谈谈你对文本主题的理解（5分）三、作文（共60分）题目：守望要求：①自选角度，自拟题目；②除诗歌外，文体不限；③不少于800字。
一、文言文阅读答案（一）默写与默读1. （1）青青子衿，悠悠我心。
（2）窈窕淑女，君子好逑。
（3）吾尝终日而思矣，不如须臾之所学也。
（4）蟹六跪而二螯，非蛇鳝之穴无可寄托者。
2. （答案略）（二）文言文翻译与解析1. （1）答案略（2）答案略2. （1）答案略（2）答案略3. 答案略（三）古代诗歌鉴赏1. 答案略2. 答案略二、现代文阅读答案（一）论述类文本阅读1. 答案略2. 答案略3. 答案略（二）文学类文本阅读1. 答案略2. 答案略3. 答案略4. 答案略5. 答案略三、作文（作文答案略）1. 文言文阅读文言文默写：名句名篇的记忆文言文翻译：实词、虚词、句式等翻译技巧文言文解析：人物形象、观点态度、论证方法等分析能力2. 古代诗歌鉴赏意象和表现手法：比喻、拟人、夸张等修辞手法情感态度：诗人情感的理解与分析3. 现代文阅读论述类文本：中心论点概括、论证思路、论证方法、论证效果评价文学类文本：情节概括、人物形象分析、艺术手法赏析、创作意图探讨、主题理解4. 作文审题：题目理解与立意确定表达：语言组织、逻辑结构、文采展现思想：观点明确、论据充分、论证有力各题型知识点详解及示例：1. 文言文翻译：以“吾尝终日而思矣，不如须臾之所学也。
2023年上海市春季高考数学试卷-含答案详解
……○…………外…………○…………装…………○…………订…………○…………线…………○…………学校:___________姓名：___________班级：___________考号：___________……○…………内…………○…………装…………○…………订…………○…………线…………○…………绝密★启用前2023年上海市春季高考数学试卷副标题考试范围：xxx ；考试时间：100分钟；命题人：xxx题号 一 二 三 四 总分 得分注意事项:1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑；如需改动，用橡皮擦干净后，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上，写在试卷上无效。
3.考试结束后，本试卷和答题卡一并交回。
第I 卷（选择题）一、单选题（本大题共11小题，共53.0分。
在每小题列出的选项中，选出符合题目的一项）1. 若直线2x +y −1=0是圆(x −a)2+y 2=1的一条对称轴，则a =( )A. 12B. −12C. 1D. −12. 已知圆C ：x 2+y 2=4，直线l ：y =kx +m ，当k 变化时，l 截得圆C 弦长的最小值为2，则m =( )A. ±2B. ±√2C. ±√3D. ±33. 已知圆M:x 2+y 2−2x −2y −2=0，直线l:2x +y +2=0，P 为l 上的动点，过点P 作圆M 的切线PA ，PB ，且切点为A ，B ，当|PM|·|AB|最小时，直线AB 的方程为( )A. 2x −y −1=0B. 2x +y −1=0C. 2x −y +1=0D. 2x +y +1=0 4. 若过点(2,1)的圆与两坐标轴都相切，则圆心到直线2x −y −3=0的距离为( )A. √55B. 2√55C. 3√55D. 4√555. 若直线l 与曲线y =√x 和圆x 2+y 2=15都相切，则l 的方程为( )……○…………外…………○…………装…………○…………订…………○…………线…………○…………※※请※※不※※要※※在※※装※※订※※线※※内※※答※※题※※……○…………内…………○…………装…………○…………订…………○…………线…………○…………A. y =2x +1B. y =2x +12C. y =12x +1D. y =12x +126. 已知半径为1的圆经过点(3,4)，则其圆心到原点的距离的最小值为( ) A. 4B. 5C. 6D. 77. 直线x +y +2=0分别与x 轴，y 轴交于A ，B 两点，点P 在圆(x −2)2+y 2=2上，则ΔABP 面积的取值范围是( )A. [2,6]B. [4,8]C. [√2,3√2]D. [2√2,3√2]8. 下列函数是偶函数的是( ) A. y =sinxB. y =cosxC. y =x 3D. y =2x9. 根据下图判断，下列选项错误的是( )A. 从2018年开始后，图表中最后一年增长率最大B. 从2018年开始后，进出口总额逐年增大C. 从2018年开始后，进口总额逐年增大D. 从2018年开始后，图表中2020年的增长率最小10. 如图，P 是正方体ABCD −A 1B 1C 1D 1边A 1C 1上的动点，下列哪条边与边BP 始终异面( )A. DD 1B. ACC. AD 1D. B 1C……○…………外…………○…………装…………○…………订…………○…………线…………○…………学校:___________姓名：___________班级：___________考号：___________……○…………内…………○…………装…………○…………订…………○…………线…………○…………11. 已知数列{a n }的各项均为实数，S n 为其前n 项和，若对任意k >2022，都有|S k |>|S k+1|，则下列说法正确的是( )A. a 1，a 3，a 5，…，a 2n−1为等差数列，a 2，a 4，a 6，…，a 2n 为等比数列B. a 1，a 3，a 5，…，a 2n−1为等比数列，a 2，a 4，a 6，…，a 2n 为等差数列C. a 1，a 2，a 3，…，a 2022为等差数列，a 2022，a 2023，…，a n 为等比数列D. a 1，a 2，a 3，…，a 2022为等比数列，a 2022，a 2023，…，a n 为等差数列二、多选题（本大题共2小题，共10.0分。
上海高考春考卷(精确回忆版)
上海高考春考卷（精确回忆版）一、语文（共150分）I. 阅读理解（每题3分，共30分）1. 阅读下面的文言文，完成相关问题。
《史记·孔子世家》节选……2. 阅读下面的现代文，完成相关问题。
《上海，一座城市的记忆》……II. 古诗文默写与赏析（每题2分，共20分）1. 默写《离骚》中的名句。
2. 赏析杜甫的《登高》。
III. 作文（60分）题目：谈谈你对“精确回忆”的理解，结合自己的经历，自拟题目，写一篇不少于800字的文章。
二、数学（共150分）I. 选择题（每题5分，共30分）1. 已知函数f(x) = x² 2x + 1，求f(2)的值。
2. 在直角坐标系中，点A(1, 2)到原点O的距离是多少？II. 填空题（每题5分，共30分）1. 若等差数列{an}中，a1 = 1，a3 = 3，求公差d。
2. 已知平行四边形ABCD的对角线交于点E，若BE = 6，CE = 8，求平行四边形ABCD的面积。
III. 解答题（共90分）1. （30分）求解方程组：2x + 3y = 74x 5y = 12. （30分）已知函数f(x) = x² 4x + 3，求f(x)的最小值。
3. （30分）在三角形ABC中，a = 5，b = 8，cosA = 3/5，求三角形ABC的面积。
三、英语（共150分）I. 单项选择题（每题2分，共30分）1. — How are you today?— ____________.A. I'm fine, thank you.B. I'm fine, thanks.C. I'm fine, thanks. And you?D. I'm fine. How are you?II. 完形填空（每题2分，共30分）阅读下面的短文，从括号内选择最佳选项。
Once upon a time, there was a young man named Jack. He was always ____(1)____ to help others. One day, an old man came to him and asked for ____(2)____.III. 阅读理解（每题3分，共30分）Passage 1: Shanghai, a Cosmopolitan CityShanghai is known as a ____(1)____ city in the world. With its unique culture and ____(2)____ development, it attracts people from all over the world.Passage 2: The Importance of EducationEducation plays a ____(1)____ role in our lives. It not only helps us ____(2)____ knowledge but also shapes our character.IV. 写作（共60分）题目：My Favorite Teacher要求：描述一位你最喜欢的老师，包括他的外貌、性格、教学特点等，不少于100词。
2023年上海市普通高等学校春季招生考试试卷(数学)
12023年上海市普通高等学校春季招生考试数 学 试 卷考生注意:1.答卷前,考生务必将姓名、高考座位号、校验码等填写清楚.2.本试卷共有22道试卷,满分150分.考试时间120分钟.48分）本大题共有12题,只要求直接4分,否则一律得零分.1．已知集合{1A x x =<-或}23x ≤<,{}24B x x =-≤<,则A B = .2．计算:131lim 32n n n n +→∞+=+ .3．函数()f x =地定义域是 .4．方程2cos 14x π⎛⎫-= ⎪⎝⎭在区间(0,)π内地解是 .5．已知数列{}n a 是公差不为零地等差数列,11a =. 若125a a a 、、成等比数列,则n a = .6．化简:cos sin 36ππαα⎛⎫⎛⎫+++= ⎪ ⎪⎝⎭⎝⎭.7．已知P 是双曲线22219x y a -=右支上地一点,双曲线地一条渐近线方程为30x y -=. 设 12F F 、分别为双曲线地左、右焦点. 若23PF =,则1PF = .8．已知一个凸多面体共有9个面,所有棱长均为1,其平面展开图如右图所示,则该凸多面体地体积V = .9．已知无穷数列{}n a前n项和113n nS a=-,则数列{}n a地各项和为 . 10．古代"五行"学说认为:"物质分金、木、土、水、火五种属性,金克木,木克土,土克水,水克火,火克金."将五种不同属性地物质任意排成一列,设事件A表示"排列中属性相克地两种物质不相邻",则事件A出现地概率是（结果用数值表示）.11．已知12,,,na a a；12,,,nb b b（n是正整数）,令112nL b b b=+++, 223L b b=+,nb++,n nL b=. 某人用右图分析得到恒等式:1122n na b a b a b+++=112233a L c L c L+++k kc L+n nc L++,则kc=(2)k n≤≤.12．已知(1,2),(3,4)A B,直线1l:20,:0x l y==和3:l x+3y10-=. 设iP是il(1,2,3)i=上与A、B两点距离平方和最小地点,则△123PP P地面积是 .二．选择题（本大题满分16分）本大题共有4题,每题都给出四个结论,其中有且只有一个结论是正确地,必须把正确结论地代号写在题后地圆括号内,选对得 4分,否则一律得零分. 13．已知向量(2,3),(3,)a bλ=-=,若//a b,则λ等于 [答] ( )（A）23. （B）2-. （C）92-. （D）23-.14．已知椭圆221102x ym m+=--,长轴在y轴上. 若焦距为4,则m等于 [答]（）（A）4. （B）5. （C）7. （D）8.15．已知函数()()f xg x、定义在R上,()()()h x f x g x=⋅,则"()()f xg x、均为奇函数"是"()h x为偶函数"地 [答] ( )（A）充分不必要条件. （B）必要不充分条件.23（C ）充要条件. （D ）既不充分也不必要条件.16．已知C z ∈,且22i 1,i z --=为虚数单位,则22i z +-地最小值是 [答] ( )（A ）2. （B ）3. （C ）4. （D ）5.三．解答题（本大题满分86分）本大题共有6题,解答下列各题必须写出必要地步骤.12分) 已知cos ,2πθθπ⎛⎫=∈ ⎪⎝⎭,求2cos sin 2sin θθθ-地值. [解]412分)在平面直角坐标系xOy 中,A B 、分别为直线2x y +=与x y 、轴地交点,C 为AB 地中点. 若抛物线22(0)y px p =>过点C ,求焦点F 到直线AB 地距离.[解]514分) 本题共有2个小题,第1小题满分6分,第2小题满分8分.已知函数)2()log 21x f x =+.（1）求证:函数()f x 在(,)-∞+∞内单调递增；（2）记1()-f x 为函数()f x 地反函数.若关于x 地方程1()()fx m f x -=+在[1,2]上有解,求m 地取值范围.[证明]（1）[解]（2）614分)本题共有2个小题,第1小题满分6分,第2小题满分8分.某厂根据市场需求开发折叠式小凳（如下图所示）.凳面为三角形地尼龙布,凳脚为三根细钢管.考虑到钢管地受力和人地舒适度等因素,设计小凳应满足:①凳子高度为30cm ,②三根细钢管相交处地节点O 与凳面三角形ABC 重心地连线垂直于凳面和地面.（1）若凳面是边长为20cm 地正三角形,三只凳脚与地面所成地角均为45 ,确定节点O 分细钢管上下两段地比值（精确到0.01）；（2）若凳面是顶角为120 地等腰三角形,腰长为24cm ,节点O 分细钢管上下两段之比为2:3.确定三根细钢管地长度（精确到0.1cm ）.[解]（1） （2）716分)本题共有3个小题,第1小题满分3分,第2小题满分5分,第3小题满分8分.在直角坐标平面xOy 上地一列点()()11221,,2,,,A a A a (,),n n A n a ,简记为{}n A . 若由1n n n b A A j +=⋅ 构成地数列{}n b 满足1,1,2,n n b b n +>= ,其中j 为方向与y 轴正方向相同地单位向量,则称{}n A 为T 点列.（1）判断()123111,1,2,,3,,,23A A A ⎛⎫⎛⎫ ⎪ ⎪⎝⎭⎝⎭ 1,,n A n n ⎛⎫ ⎪⎝⎭ ,是否为T 点列,并说明理由；（2）若{}n A 为T 点列,且点2A 在点1A 地右上方. 任取其中连续三点1k k A A +、、2k A +,判断△12k k k A A A ++地形状（锐角三角形、直角三角形、钝角三角形）,并予以证明；（3）若{}n A 为T 点列,正整数1m n p q ≤<<<满足m q n p +=+,求证: >n q m p A A j A A j ⋅⋅ .[解]（1）（2）[证明]（3）8918分)本题共有3个小题,第1小题满分4分,6分,第3小题满分8分.已知z 是实系数方程220x bx c ++=地虚根,记它在直角坐标平面上地对应点为(Re ,Im )z P z z .（1）若(,)b c 在直线20x y +=上,求证:z P 在圆1C :22(1)1x y -+=上；（2）给定圆C :222()x m y r -+=（R m r ∈、,0r >）,则存在唯一地线段s 满足:①若z P 在圆C 上,则(,)b c 在线段s 上；② 若(,)b c 是线段s 上一点（非端点）,则z P 在圆C 上. 写出线段s 地表达式,并说明理由；（3）由（2）知线段s 与圆C 之间确定了一种对应关系,通过这种对应关系地研究,填写表一（表中1s 是（1）中圆1C 地对应线段）.[证明]（1）[解]（2）（3）表一、地取值或表达式线段s与线段1s地关系m rs所在直线平行于1s所在直线s所在直线平分线段s1线段s与线段1s长度相等2023年上海市普通高等学校春季招生考试数学试卷参考解析及评分标准说明1.本解答列出试卷地一种或几种解法,如果考生地解法与所列解法不同,可参照解答中评分标1011准地精神进行评分.2. 评阅试卷,应坚持每题评阅到底,不要因为考生地解答中出现错误而中断对该题地评阅. 当考生地解答在某一步出现错误,影响了后继部分,但该步以后地解答未改变这一题地内容和难度时,可视影响程度决定后面部分地给分,这时原则上不应超过后面部分应给分数之半,如果有较严重地概念性错误,就不给分.3. 第17题至第22题中右端所注地分数,表示考生正确做到这一步应得地该题累加分数.4. 给分或扣分均以1分为单位.解析及评分标准一．（第1至12题）每一题正确地给4分,否则一律得零分.1. {}4x x <. 2.13. 3. [2,1)(1,3]- . 4. 712x π=. 5. 21n a n =-. 6. cos α. 7. 5.8. 1 9. 1-. 10.112. 11. 1k k a a --. 12. 32.二．（第13至16题）每一题正确地给4分,否则一律得零分.题 号13141516 代 号CDAB三．（第17至22题）17. [解] 原式2cos 2sin cos sin θθθθ=-…… 2分21cos sin sin cos cos θθθθθ-==. …… 5分又cos,2πθθπ⎛⎫=∈ ⎪⎝⎭,sin θ∴==, …… 9分 2cos sin 2sin θθθ∴-=. …… 12分1218. [解] 由已知可得 (2,0),(0,2),(1,1)A B C , …… 3分解得抛物线方程为 2y x =. …… 6分 于是焦点 1,04F ⎛⎫⎪⎝⎭. …… 9分 ∴ 点F 到直线AB. …… 12分19. [证明]（1）任取12x x <,则()()11221222221()()log 21log 21log 21x x x x f x f x +-=+-+=+,1212,02121x x x x <∴<+<+ ,11222212101,log 02121x x xx ++∴<<<++, 12()()f x f x ∴<,即函数()f x 在(,)-∞+∞内单调递增. …… 6分[解]（2）()12()log 21(0)x f x x -=-> , …… 9分[解法一] 1()()m fx f x -∴=- =()()22log 21log 21xx--+ 22212log log 12121x x x -⎛⎫==- ⎪++⎝⎭, …… 11分 当12x ≤≤时,222123,152133215x x ≤≤∴≤-≤++, m ∴地取值范围是2213log ,log 35⎡⎤⎛⎫⎛⎫ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎣⎦. …… 14分[解法二] 解方程()()22log 21log 21xxm -=++,得221log 12m m x ⎛⎫+= ⎪-⎝⎭, …… 11分1322112,1log 212m m x ⎛⎫+≤≤∴≤≤ ⎪-⎝⎭, 解得 2213log log 35m ⎛⎫⎛⎫≤≤ ⎪ ⎪⎝⎭⎝⎭.m ∴地取值范围是2213log ,log 35⎡⎤⎛⎫⎛⎫ ⎪ ⎪⎢⎥⎝⎭⎝⎭⎣⎦. …… 14分20. [解]（1）设△ABC 地重心为H ,连结OH . 由题意可得,BH =.设细钢管上下两段之比为λ.已知凳子高度为30. 则301OH λλ=+. …… 3分节点O 与凳面三角形ABC 重心地连线与地面垂直,且凳面与地面平行.∴ OBH ∠就是OB 与平面ABC 所成地角,亦即45OBH ∠= .30,1BH OH λλ=∴=+ , 解得,0.63λ=≈. …… 6分即节点O 分细钢管上下两段地比值约为0.63.（2）设120,24B AB BC ∠=∴==,AC = 设△ABC 地重心为H ,则8,BH AH ==分由节点O 分细钢管上下两段之比为2:3,可知12OH =. 设过点A B C 、、地细钢管分别为AA BB CC '''、、, 则560.82AA CC OA ''====≈,/14536.12BB OB '===≈, ∴对应于A B C 、、三点地三根细钢管长度分别为60.8cm , 36.1cm 和60.8cm .…… 14分21. [解]（1） 1n a n=, 1111(1)n b n n n n -∴=-=++,显然有1n n b b +>, ∴ {}n A 是T 点列. …… 3分（2）在△12k k k A A A ++中,()()1112211,,1,k k k k k k k k A A a a A A a a ++++++=--=-, ()()1122111k k k k k k k k A A A A a a a a ++++++⋅=-+--. …… 5分点2A 在点1A 地右上方,1210b a a ∴=->, {}n A 为T 点列,10n b b ∴≥>,()()21110k k k k k k a a a a b b ++++∴--=-<,则1120k k k k A A A A +++⋅<.∴ 12k k k A A A ++∠为钝角,∴ △12k k k A A A ++为钝角三角形. …… 8分（3）[证明] 1,m n p q m q n p ≤<<<+=+ ,0q p n m ∴-=->. ① 1121q p q q q q p pa a a a a a a a ---+-=-+-++- 12()q q p pb b b q p b --=+++≥- . ②同理n m a a -=121()n n m n b b b n m b ---+++≤- . ③ …… 12分 由于{}n A 为T 点列,于是1p n b b ->, ④由①、②、③、④可推得q p n m a a a a ->-, …… 15分 ∴->-q n p m a a a a ,即 >⋅⋅n q m p A A j A A j . …… 16分22. [证明]（1）由题意可得 20b c +=,解方程2220x bx b +-=,得z b =-±, …… 2分∴点(),z P b -或(),z P b -,将点z P 代入圆1C 地方程,等号成立,15∴ z P 在圆1C :22(1)1x y -+=上. …… 4分（2）[解法一] 当0∆<,即2b c <时,解得z b =-, ∴点(),z P b -或(),z P b -,由题意可得222()b m c b r --+-=,整理后得 222c mb r m =-+-, …… 6分 ()240b c ∆=-< ,222()b m c b r ++-=, (,)b m r m r ∴∈---+.∴ 线段s 为: 222c mb r m =-+-,[,]b m r m r ∈---+.若(,)b c 是线段s 上一点（非端点）,则实系数方程为222220,(,)x bx mb r m b m r m r +-+-=∈---+.此时0∆<,且点(),z P b -、(),z P b --在圆C 上.…… 10分[解法二] 设i =+z x y 是原方程地虚根,则2(i)2(i)0++++=x y b x y c ,解得22,2,x b y x bx c =-⎧⎨=++⎩①②由题意可得,222()x m y r -+=. ③解①、②、③ 得 222c mb r m =-+-. …… 6分 以下同解法一.[解]（3）表一线段s 与线段1s 地关系、m r 地取值或表达式得分s 所在直线平行于1s 所在直线1m =,1r ≠12分s 所在直线平分线段1s22(1)1r m --=,1m ≠15分线段s 与线段1s 长度相等()22145m r+=18分。
上海高考语文春考卷
上海市语文散装同步试卷（春季高考）阅读（80分）（一）阅读下文，完成第1—6题。
（16分）①现代汉语，这里指的是现代汉民族共同语，即以北京语音为标准音、以北方话为基础方言、以典范的现代白话文著作为语法规范的普通话。
②统一汉语语音，必须以一个地点方言的语音作标准音，不能以虚拟出来的语音或者用各种方音拼凑起来的语音作标准音，也不能以北方整个地域的语音为标准音。
普通话以北京语音为标准音，每个汉字的北京话读音是确定的，这样各方言区的人才能有所依据。
多少年来，话剧、电影和广播等大都采用北京语音。
北京语音的标准地位，早已为人们所公认。
③北方方言分布的地域最大，使用北方话的人口最多。
自十三世纪以来，北方话词汇就随着“官话”和白话文学传播开来，因而它在全国有极大的普遍性。
尤其是建国以来，由于政治的统一，经济的繁荣，教育的普及，交通的发展，各地人民接触的频繁，再加上报纸杂志、文学作品以及广播影视的影响，北方话词汇的传播就更加深人、更加广泛了。
④普通话以典范的现代白话文著作为语法规范。
所谓“典范的著作”，是指具有广泛代表性的著作，例如现代许多著名作家的作品，以及经过许多人反复推敲定稿的文件，如《中华人民共和国宪法》。
这些著作在语言规范的巩固和发展上能起一定作用。
所谓“现代白话文著作”，就是说，这种著作是白话的，同时又是现代的，因为语言在不断发展，早期白话文作品有些地方已同现代语法不合了。
“语法规范”还必须是典范的现代白话文著作中的“一般的用例”，也就是最具有普遍性的用例。
⑤现代汉语的形成，经历了一个复杂的过程。
⑥现代汉语是在近古汉语的基础上形成的。
从近古汉语的历史发展中可以看到，宋元以后有两种明显的趋势在北方话的基础上出现：一种表现在书面语方面，就是白话文学的产生和发展；一种表现在口语方面，就是。
⑦汉民族在历史上长期用“文言”作为统一的书面语。
这种书面语最初必定是建立在口语基础上的，但是后来与口语的距离越来越远，学习起来非常困难，能够使用的人只占全民中的极少数。
2023年上海春考语文试卷(含答案)
2023年上海市普通高校春季招生统一文化考试语文试卷一、积累运用10分1.按要求填空。
（5分）（1）子曰：“，小人喻于利。
”（《论语·里仁》）（2）后人哀之而不鉴之，。
（杜牧《》）（3）李白《梦游天姥吟留别》中写诗人流连山景、不知不觉已是暮色四合的两句是“，”。
2.按要求作答。
（5分）（1）将下列编号的语句依次填入语段空白处，语意连贯的一项是（）。
（2分）上海博物馆日前发布“大博物馆计划”，将构建“3+X”新发展格局，打造博物馆“航母群”：，。
，。
与此同时，上海博物馆将实施藏品扩增计划，助力上海加速迈向“博物馆之都”。
①预计2023年年底前后，东馆将建成开放②其中，东馆展陈以常设展为主③以人民广场馆、东馆、考古主题博物馆为核心④人民广场馆也将迎来整体更新改造升级⑤在海内外设立若干分馆A.③①④②⑤B.①④③⑤②C.③⑤①④②D.①④②⑤③（2）小明诚请李老师担任他的生涯导师，他提交的书面申请中有一处语言表达不得体，请在以下四处画线句中找出并修改。
（3分）尊敬的李老师：您好！我是高一（1）班的小明。
【甲】早就听说您德高望重，对学生关爱有加，指导有方，【乙】我对您十分仰慕，恳请您担任我的生涯导师。
【丙】若能如愿，我将加倍努力！【丁】希望您尽早答复，不胜感激！敬祝教安！您的学生小明2022年9月15日二阅读 70分（一）阅读下文，完成第3-7题。
（16分）《爱犯错的智能体》序①①本书主角是被称作“智能体”的人（尤其是生物学上的人），暂时称之为人智能体；另一个与之进行比较的智能体是机器智能体，简称程序体。
人是万物之灵，却不能避免犯错，那么遇到同样的问题时，程序体会犯同样的错吗？②人智能体犯错，客观上可能是因为面临复杂的环境，主观上则往往可以归结为。
为什么会把画中的美女看成老太太？因为不知道一幅画可以从多个角度看。
为什么会对隐藏在背景中的目标物视而不见？因为没想到画中还会有画。
当然，有了积累的相关经验，有了从经验中提取的理性认识，就会降低犯错的可能。
上海春季高考英语真题试题word精校版(含答案)
普通高等学校招生全国统一考试上海英语试卷II. Grammar and VocabularySection ADirections: After reading the passage below, fill in the blanks to make the passage coherent and grammatically correct. For the blanks with a given word, fill in each blank with the proper form of the given word; for the other blanks, use one word that best fits each blank.“Zootopia” Broke Disney RecordsLast weekend, the latest Disney movie, “Zootopia,” broke records. The mov ie had the largest opening weekend for a Disney animation (动画片). People across the United States bought more than $75 million worth of tickets.“Zootopia” is a city of animals. The movie stars a rabbit police officer and a fox criminal 21 team up to find a missing otter (水獭). He is among several animals that have suddenly disappeared from the city.“Zootopia”22 (praise) for its sharp humor and strong message since its release. The film explores racism and other issues in its description of relations 23 two kinds of animals in the city.Jared Bush and Phil Johnston wrote “Zootopia.” They told reporters that it started out as a spy movie 24 (set) in several different contexts. But they changed the story 25 they found the animal world especially interesting. They said to 26 something like this. “What’s this world like? What’s the history of this world?” And then, Bush said, they went to the experts. Not only 27 the writers speak with people who study couture (时装) and group behavior, but also they talked with animal experts like zookeepers.The creators have noted that the variety of animals was not easy 28 (produce) in drawings. In the movie, 64 species live in multiple neighborhoods 29 (represent) differen t animals’ living environments. Disney says “Zootopia” is its30 (complex) animation yet. The extra effort is certainly paying off at the box office.Section BDirections: After reading the passage below, fill in each blank with a proper word given in the box. EachWhy your Password May Not Be As Safe As It SeemsDoes “qaz2ws” strike you as a nice safe password? What about “adgjmptw”? An analysis has found them to be among the passwords that are most 31 used, which of course means they are not secure at all.When ten million passwords were leaked on to the Internet, they appeared to 32 that attempts by Internet security experts to make us improve our password strength had been successful, even if, in the specific case of the leaked passwords, they are also completely pointless.While many of the passwords were still single words, such as “password”, there was also a clear attempt by many to make them harder to 33 . The problem was that people seemed to do so in the same way.“Users are becoming slightly more 34 of what makes a password strong,” explained WP Engine, an I nternet company that performed the analysis. “For instance, adding a number or two at the end of atext phrase. That makes it better, right?”But 35 no. They found that almost half a million passwords did this and in 20 percent of those all people did was put the number “1” at the end.Perhaps this is why some companies are now trying to move gradually beyond passwords. Yahoo is giving users the option to associate their mobile phone with an account, and has a single use password texted to it each time they want to 36 on.Although the service is voluntary, Dylan Casey, an executive at Yahoo, said that it was “the first step to 37 passwords”. He said it was a(n) 38 that it was increasingly hard for people to remember all the passwords they had. “I don’t think we, as an industry, have done a good enough job of putting ourselves in the shoes of the people using our products,” he said.It would certainly be a more sensible strategy than so me people’s improving upon“password” by using “wasspord” or, tran5p053d numb3r5 f0r 13tt3r5.“We are, for the most part, predictably39 when it comes to choosing passwords, despite a decade of warnings from password strength checkers during sign-ups,” said WP Engine. “We love taking a(n) 40 , and so do password crackers.III. Reading ComprehensionSection ADirections: For each blank in the following passage there are four words or phrases marked A, B, C and D. Fill in each blank with the word or phrase that best fits the context.Ever been just about to call someone when the phone rings and the person in question is on the other end? Or have you e xperienced a sudden feeling of unease or danger even though you’re in a(n) 41 situation? If you don’t believe in it, you’ll put it down to 42 and on overactive imagination. But some people believe it is 43 that there is a sixth sense beyond smell, taste, touch, hearing and sight. Now, scientists are carrying out experiments not only to prove that it exists, but also to find out how you can 44 it to your advantage.Dean Radin, a researcher in California, has set up the Boundary Institute in Los Altos and is currently using its website to recruit (招募) 4,000 people in 57 countries to find out if there are any 45 instances of sixth sense or, as he calls it, “precognition”— the ability to predict outcomes. The results so far are 46 . In a card test, where you have to 47 which of the five cards on a computer screen will be turned over to reveal a picture, the top scorers hit the right card 48% of the time — the 48 of this happening are 2,669 to 1.49 , Radin’s most famous study involves participants looking at a variety of images that are designed to stimulate a specific responses. In the experiment, participants sit alone in a room in front of a computer, with devices attached to their bodies to measure changes in skin resistance and blood flow, which are measures of emotional arousal. Radin has found that one in six people has a rise in arouse before they see the road accident-type pictures, while remaining 50 before the tree-type pictures.But even if you do accept that a sixth sense exists, the question is, does it actually 51 ? Radin says it does. “The future of our civilization depends on 52 that are being made now, whether it’s about how we farm our food, how we get rid of our waste or whether we allow chemicals to be included in everyday products. We don’t have answers to these important questions, yet what we decide on will 53 our lives for decades or longer. Anything we can do to improve our ability to predict future events is well worth the 54 ,” he says. “If it turns out that some people can genuinely forecast the future some of the time, as I believe the data shows, then 55 this ability is as important as cutting-edge science.41. A. unfamiliar B. tough C. harmless D. ridiculous42. A. coincidence B. resistance C. innovation D. distraction43. A. mystery B. evidence C. falsehood D. innocence44. A. alter B. define C. find D. use45. A. historical B. strange C. mistaken D. true46. A. extraordinary B. inevitable C. alarming D. disappointing47. A. ask B. guess C. recall D. learn48. A. figures B. methods C. scores D. chance49. A. However B. Otherwise C. Meanwhile D. Consequently50. A. active B. calm C. silent D. alert51. A. serve any purpose B. take any advantageC. make any progressD. win any support52. A. inquiries B. decisions C. donations D. comparisons53. A. ruin B. improve C. affect D. wait54. A. expense B. risk C. effort D. wait55. A. proving B. challenging C. limiting D. understandingSection BDirections: Read the following three passages. Each passage is followed by several questions or unfinished statements. For each of them there are four choices marked A, B, C and D. Choose the one that fits best according to the information given in the passage you have read.AWhat happens in a particular class on a particular day depends on the interactions that occur between the teacher, the students, and the material being studied. The classroom context, generally speaking, includes all those factors that influence what happens during teaching and learning. These factors operate on different levels.The physical context, for example, influences what happens in the classroom. Space may restrict participation, depending on how a teacher interprets the situation. Some teachers use their surroundings to promote learning. Notice boards reflect themes or topics being studied; a display area presents students’ written work for others to read. Of course, some teachers remain unaware of the physical environment that they and their students inhabit together. A room, after all, is just a room. Yet the physical environment of the classroom affects the nature and types of interactions that will occur. Straight rows of tables, for example, are favourable to classroom lectures and turn-taking routines in which students one by one, recite answers to a teacher’s questions.A room isn’t just a room for teachers who seek to make the physical environment suitable for interactive learning. Interactive learning invites thinking, reading, writing, speaking, listening, and sharing. Such classrooms are arranged for individuals rather than for the “class” as a whole; they welcome students as active participants. Various physical arrangements encourage interactive learning, but they depend on the size of the room and the furniture that is available.A class can be organized for individual, group, or whole-class activities. Students are initially assigned seats at a combination of small and large tables. However, when the students work individually or in groups, they are free to abandon the assigned seating. The chalkboard occupies a central position in the room to accommodate whole-class study.56. According to the passage, “the physical context” (paragraph 2) may include .A. teachers’ rolesB. themes being studiedC. a display areaD. students’ participation57. Which of the following is the most suitable for a classroom lecture?58. From the last paragraph, we can learn that .A. classrooms should be arranged for the class as a wholeB. the chalkboard should be abandoned during group workC. seating can be changed for different classroom activitiesD. interaction can be encouraged by combining small and large tables59. What is the passage mainly about?A. The physical classroom environment varies with different types of interaction.B. The physical environment is a deciding factor for a successful lesson.C. Interactive learning depends on individuals ’ active involvement.D. Group work has become a trend in classroom teaching.B•$15.00 USD-8.5×11 Paper •$24.00 USD-11×17 Paper •$30.00 USD-13×19 Paper •$45.00 USD-17×22 Paper •$95.00 USD-24×30 Paper •$185.00 USD-34×47 Paper •$70.00 USD-17×22 Exhibition Canvas （帆布） •$140.00 USD-24×30 Exhibition Canvas •$275.00 USD-36×50 Exhibition Canvas •$350.00 USD-44×61 Exhibition Canvas •$80.00 USD-8.5×11 Framed (Black) •$85.00 USD-8.5×11 Framed (Brown) •$140.00 USD-11×17 Framed (Black) •$150.00 USD-11×17 Framed (Brown) •$215.00 USD-17×22 Framed (Black) • $225.00 USD-17×22 Framed (Brown)Christmas Shipping Deadlines• Domestic orders placed by December 20 will arrive for Christmas.• Overseas orders placed by December 9 will arrive for Christmas.• Overnight orders placed by December 22 will arrive for Christmas for an additional fee.Framed orders (domestic or overseas) require additional time for delivery.About Our PaperWe use high-quality, acid-free papers or heavyweight Exhibition Gallery Canvas.Paper SizesPaper sizes are in inches. If an image’s dimensions (尺寸) don’t exactly match the paper’s dimensi ons there will be a wider margin on the narrowest side. The long edge on prints 34×47 and larger will vary depending on the dimensions of the photo and may be longer than the size listed.Custom (定制的) FramesWe’ve partnered with Simply Framed to offer high-quality custom frames made in the USA. Please allow an additional 3 weeks for delivery. Frames come in black or brown wooden finish and include protectiveA German travel poster Showing the Imperial Castle in Nuremberg. Illustrated by Jupp Wiertz, c. 1930s. Add to Cart This product ships for free (both in U.S.A. and overseas) Made in U.S.A. ︳Satisfaction Guaranteedpaperback finish, wall bumpers, hanging hardware + nails, hanging and care instructions. Frames arrive gift-wrapped in brown paper.Framed sales are final.60. If you want to order a 17×22 print on canvas with a black frame, how much are you expected to pay?A. $ 45.00 USD.B. $ 70.00 USD.C. $ 215.00 USD. D. $ 225.00 SD.61. If you hope your framed order will reach your friend in Germany for Christmas, you’d better place your order by .A. December 20B. December 9C. November 30D. November 1962. The above advertisement is mainly intended to promote .A. a painting exhibitionB. superior printsC. Germany as a romantic destinationD. high-quality custom framesCWe’ve all heard the dangers of helicopter parenting. Remaining too involved in a kid’s life, especially throughout college, can lead to depression, lack of self-reliance and feelings of entitlement.This wisdom seems sound. But some academics and educators now say they see signs of a troubling resistance. The concern: that too much of warnings and horror stories —the cover of Julie Lythcott-Haims’ bestseller How to Raise an Adult instructs moms and dads to avoid “the overparenting trap” — is discouraging parents from getting involved at all.“Yes, parents can be intruders,” says Marjorie Savage, a researcher in the University of Minnesota. “At the same time, there are increasing examples of parents refusing to step up when students genuinely need their family.” At Hofstra University, for example, parents now ask embarrassedly about mental-health and campus-safety resources, as if bringing up those topics were forbidden, says Branka Kristie, who heads the family-outreach programs. And Savage recalls talking to a mom who kept quiet about her son’s signs of depression until right before he failed a semester. She did not want to “helicop ter in.”That means colleges, which have spent the past decade learning to cope with parents who get too involved, now have a different problem. In recent years, hundreds of colleges have either launched or increased their parent offices, which serve as one-stop shops for moms and dads looking to make complaints, report problem and generally stay in touch.Much of this began, of course, because schools were forced to cope with a generation of students connected with their parents like never before. On average, they communicate 22.1 times per week, according to research from Barbara Hofer, a psychology professor at Middlebury College. That’s more than twice the rate of a decade ago, before almost every student had a smartphone.With some moms and dads thinking twice of contacting the school in the first place, some programs are being used to encourage a more balanced approach, often through email and other social media. Hofstra’s Kristic advises parents to “be a guide, while granting that the student owns the journey.” That means asking questions, listening to answers, being patient and trusting kids to resolve their own problems. But if issues persist, or if a student is in serious mental or physical danger, it also means hopping in the chopper, at least for a little while.63. In paragraph 3, parents of Hofstra University students are mentioned to .A. show that parents have gone to the other extreme of overparentingB. provide educators with a new understanding of overparentingC. give a further example of supportive overparentingD. place emphasis on the necessity of overparenting64. The phrase “hopping in the chopper” in the last paragraph refers to .A. having trust in kidsB. stepping in to solve kids’ problemsC. joining a family-outreach programD. turning to social media for help65. What can be inferred from the passage?A. Mental-health and campus-safety resources are forbidden topics among parents.B. How to Raise an Adult encourages parents to get engaged in family education.C. Overparenting is no longer a problem because of students’ self-reliance.D. There was less student-parent communication in the past than today.66. Which of the following is the best title for the passage?A. Why Colleges Need Helicopter ParentsB. How to Improve Parent-school RelationsC. Why Overparenting Is in QuestionD. How to Communicate More as ParentsSection CDirections: Read the following passage. Fill in each blank with a proper sentence given in the box. Each sentence can be used only once. Note that there are two more sentences than you need.A. The two types of comics are created in very different ways.B. But for people who love comic books, they can be a fantastic escape from the tough realities of modern life.C. They find it hard to understand why comic books appeal so many people.D. Comics have lost its charm in America.E. In Japan, the contrast couldn’t be greater.F. Manga heroes look smaller, younger than all-conquering American heroes who have large muscles and lots of themed clothes.Japanese and American Comic Book HeroesTo some people, the idea of reading comic books seems childish. 67 Comics are published globally, but Japanese and American versions dominate the market despite the fact — or perhaps because — they differ in a number of ways.68 American comics are a group effort, beginning with the story-writing team and the artist who produces drawings of initial ideas. When these drafts are finalized, the outlines, dialogue, and color are added. Also, creators of comic superheroes sometimes sell their titles to other creative teams, who keep the superhero “alive.” This is in sharp contrast to manga（日本漫画）creators, who are often individual authors merely responsible for the storylines, dialogue, and artwork. When a manga creator decides to stop, so does the hero.Another difference is the appearance of the heroes. 69 Also, manga heroes rarely look Japanese, and the stories do not typically take place in a Japanese context. However, American comic heroes, despite their masks, are proudly American and are admired for their readiness to defend U.S. cities.Probably the biggest difference is the readership. Up until the 1950s, American comic books were read by both children and adults, with popular titles such as Superman selling as many as half a million copies per month. The arrival of TV, however, led to a decline in sales so that now the average reader of an American comic book is a teenage boy with an interest in superheroes. 70 There manga sales are still booming, reaching as high as $ 7 billion each year largely because readers range from young boys and girls up to middle-aged men and women. Manga for men and boys, like the American comics, tend to be action-oriented, while manga for women and girls tend to be focused on relationships.IV. Summary WritingDirections: Read the following passage. Summarize the main idea and the main point(s) of the passage in no more than 60 words. Use your own words as far as possible.ShynessIf you suffer from shyness, you are not alone, for shyness is a universal phenomenon. It is not surprising that social scientists are exploring its environmental causes.The first environmental cause of shyness may be a child’s home and family life. Today’s children are growing up in smaller and smaller families, with fewer and fewer relatives living nearby. Growing up in homes in which both parents work full time, children may not have the socializing experience of frequent visits by neighbors and friends. Because of their lack of social skills, they may begin to feel shy whenthey start school.A second environmental cause of shyness in an individual may be one’s culture. In a large study conducted in Japan, 57 percent of participants rated themselves as shy. Researchers Lynne Henderson and Philip Zimbardo say, “One explanation is that in Japan, an individual’s performance success is credited externally to parents, grandparents, teachers, coaches, and others, while failure is entirely blamed on the person.” Therefore, Japanese learn no t to take risks in public and rely instead on group-shared decisions.Technology may also play a role. In the United States, the number of young people who report being shy has risen from 40 percent to 50 percent in recent years. Due to our huge advances in technology, watching television, playing video games, and surfing the Web have replaced recreational activities that involve social interaction for many young people. Adults, too, are becoming more isolated as a result of technology. Face-to-face interactions with bank clerks, gas station attendants, and shop assistants are no longer necessary because people can use machines to do their banking, fill their gas tanks, and order goods. In short, they become shy.It appears that most people have experienced shyness at some time in their lives. Therefore, if you are shy, you have lots of company.第II卷(共40分)V. TranslationDirections: Translate the following sentences into English, using the words given in the brackets.72. 你不必在乎他人对你的评论。
2023年上海市春季高考数学试卷含答案解析
绝密★启用前2023年上海市春季高考数学试卷学校:___________姓名：___________班级：___________考号：___________注意事项:1.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2.回答选择题时，选出每小题答案后，用铅笔把答题卡对应题目的答案标号涂黑；如需改动，用橡皮擦干净后，再选涂其他答案标号。
回答非选择题时，将答案写在答题卡上，写在试卷上无效。
3.考试结束后，本试卷和答题卡一并交回。
第I卷（选择题）一、单选题：本题共4小题，共18分。
在每小题给出的选项中，只有一项是符合题目要求的。
1.下列函数是偶函数的是( )A. y=sinxB. y=cosxC. y=x3D. y=2x2.根据下图判断，下列选项错误的是( )A. 从2018年开始后，图表中最后一年增长率最大B. 从2018年开始后，进出口总额逐年增大C. 从2018年开始后，进口总额逐年增大D. 从2018年开始后，图表中2020年的增长率最小3.如图，P是正方体ABCD−A1B1C1D1边A1C1上的动点，下列哪条边与边BP始终异面( )A. DD 1B. ACC. AD 1D. B 1C4.已知数列{a n }的各项均为实数，S n 为其前n 项和，若对任意k >2022，都有|S k |>|S k+1|，则下列说法正确的是( )A. a 1，a 3，a 5，…，a 2n−1为等差数列，a 2，a 4，a 6，…，a 2n 为等比数列B. a 1，a 3，a 5，…，a 2n−1为等比数列，a 2，a 4，a 6，…，a 2n 为等差数列C. a 1，a 2，a 3，…，a 2022为等差数列，a 2022，a 2023，…，a n 为等比数列D. a 1，a 2，a 3，…，a 2022为等比数列，a 2022，a 2023，…，a n 为等差数列第II 卷（非选择题）二、填空题：本题共12小题，共54分。
上海高三春考语文试卷(含答案)
上海高三春考语文试卷（含答案）下载温馨提示:该文档是我店铺精心编制而成，希望大家下载以后，能够帮助大家解决实际的问题。
文档下载后可定制随意修改，请根据实际需要进行相应的调整和使用，谢谢!并且，本店铺为大家提供各种各样类型的实用资料，如教育随笔、日记赏析、句子摘抄、古诗大全、经典美文、话题作文、工作总结、词语解析、文案摘录、其他资料等等，如想了解不同资料格式和写法，敬请关注!Download tips: This document is carefully compiled by theeditor. I hope that after you download them,they can help yousolve practical problems. The document can be customized andmodified after downloading,please adjust and use it according toactual needs, thank you!In addition, our shop provides you with various types ofpractical materials,such as educational essays, diaryappreciation,sentence excerpts,ancient poems,classic articles,topic composition,work summary,word parsing,copy excerpts,other materials and so on,want to know different data formats andwriting methods,please pay attention!专业课原理概述部分一、选择题1. 以下哪个作品是鲁迅的短篇小说集？（）A. 《呐喊》B. 《彷徨》C. 《故事新编》D. 《朝花夕拾》2. 下列哪个不属于唐宋八大家？（）A. 韩愈B. 柳宗元C. 欧阳修D. 李白3. 《红楼梦》的作者是谁？（）A. 曹雪芹B. 高鹗C. 施耐庵D. 罗贯中4. 下列哪个不是《三国演义》中的人物？（）A. 曹操B. 关羽C. 张飞D. 林黛玉5. 下列哪个不是《水浒传》中的人物？（）A. 宋江B. 武松C. 林冲D. 孙悟空二、判断题1. 《红楼梦》是我国古代四大名著之一。
上海春考数学试卷2023答案
上海春考数学试卷2023答案一、客观题（共20分）一．选择题（每小题1分，共20分）1. 已知m，n是不同的正整数，则m/n=0.2，可以确定m/n= .A. \(\frac{1}{5}\)B. \(\frac{2}{5}\)C. \(\frac{3}{5}\)D. \(\frac{4}{5}\)答案：A. \(\frac{1}{5}\)2. 下列结论：A.|2-3|= |5-3|；B.|2+3|=|5-3|；C.|2-5|=|-3|；D.|2-3|=|2+3|。
正确结论有 .A. A、BB. A、CC. A、DD. B、C答案：D. B、C二、填空题（每小题2分，共20分）1．若a·b=-12，则a/b = .答案：-122. 设不定式y=ax2+bx+c,其中a≠0，则原式有极值点的充要条件是 .答案：b2-4ac〉0三、解答题（每小题4分，共40分）1.若函数f(x)=-x2+5x-6的零点x1=2，则函数f(x)的另一个零点x2等于 .答案：x2=32.若椭圆x2/a2+y2/b2=1的左焦点为F(-c,0)，那么该椭圆的长轴长等于 .答案：2c四、选择题（每小题2分，共20分）1.若一个多项式P(x)=ax2+bx+c(a≠0)在x=1处取得极大值，则b等于 .A.cB. -2cC.前提不满足D.-2a答案：D.-2a2.设实数x,y满足|x|=2，|y|=9，则|x+y|= .A.3B.11C.17D.27答案：C.17五、综合题（共40分）1. 在等差数列{an}中，已知a2=9,a6=15,求an的值. 答案：an=18-n。
上海市春季高考数学试卷(含答案).doc
上海市普通高等学校春季招生考试数学试卷一•填空题(本大题满分36分)本大题共有12题，要求直接填写结果，每题填对得3分，否则一律得0分。
1.函数y = log2(x + 2)的定义域是 _________________2.方程2v = 8的解是_________________3.抛物线/=8x的准线方程是___________________4.函数y = 2sin x的最小正周期是_________________5.已知向量5 = (1, k),方= (9M —6)。
若万〃方，则实数k= _______________6.函数j = 4sinx + 3cosx的最大值是__________________7.复数2 + 3/ (d是虚数单位)的模是__________________8.在AABC中，角A、B、C所对边长分别为a、b、c ,若a = 5,/? = & 3 = 60°,贝ijb二—9.在如图所示的正方体ABCD_A、B\C\D\中，异面直线A/与所成角的大小为 ____________________________ 110.从4名男同学和6名女同学屮随机选取3人参加某社团活动，选岀的3人屮男女同学都有的概率为________ (结果用数值表示)。
11.若等差数列的前6项和为23,前9项和为57,则数列的前"项和»二_________________ o12.36的所有正约数之和可按如下方法得到：因为36=22X32,所以36的所有正约数之和为(1+3+32)+(2+2X3+2X32)+(22+22X3+22X32)=(1+2+22)(1+3+32)=91参照上述方法，可求得2000的所有正约数之和为________________________________二.选择题(本大题满分36分)本大题共有12题，每题都给出四个结论，其中有且只有一个结论是正确的。
2024年上海市普通高校春季招生统一文化考试 数学试卷
上海市教育考试院保留版权2024春考数学第1页(共4页)2024年上海市普通高校春季招生统一文化考试数学试卷（考试时间：120分钟，满分：150分）（试卷共4页，答题纸共2页）一、填空题（本大题共有12题，满分54分，第1－6题每题4分，第7－12题每题5分。
考生应在答题纸的相应位置直接填写结果）1．函数2()log f x x =的定义域为．2．直线10x y -+=的倾斜角为．3．若复数z 满足i 1iz=+(i 为虚数单位)，则z 的共轭复数为．4．在6(1)x -二项展开式中，4x 项的系数为．5．在△ABC 中，若2BC =，45A ∠= ，30B ∠= ，则AC 的长为．6．已知数列{}n a 的通项公式为n a n c =+，设前n 项和为n S ，若70S <，则c 的取值范围为．7．已知a 、b ∈R ，1ab =，则2249a b +的最小值为．8．在△ABC 中，5AB =，7AC =，6BC =，若以B 、C 为焦点，且过点A 的双曲线的离心率为．9．已知2()f x x =，(),(0)()(),(0)f x x g x f x x ≤⎧=⎨-->⎩，则()2g x x ≤-的解集为．10．如图，已知四棱柱1111ABCD A B C D -的底面为平行四边形，1||3AA = ，||4BD = ，11115AB B C BC DC ⋅-⋅=，则直线1AA 与BD 所成角的大小为．11．某正方形展区ABCD 边长为1.2km ，点E 距AB 、AD 的距离都为0.2km ，点F 距BC 、CD 的距离都为0.4km ，若有一个圆形跑道经过E 、F 两点，且与AD 只有一个公共点，则圆形跑道的周长为．(精确到0.01km)D 1C 1CB 1A BA 1D2024春考数学第2页(共4页)12．若12a =，24a =，38a =，416a =，若存在实数1b 、2b 、3b 、4b ，使得{|14}{|14}i j i j a a i j b b i j +≤<≤=+≤<≤，则有序实数组1234(,,,)b b b b 共有个．二、选择题（本大题共有4题，满分18分，第13－14题每题4分，第15－16题每题5分。
2023年上海市普通高校春季招生统一考试考试语文试题
2023年上海市普通高校春季招生统一考试考试语文试题一、选择题（每题3分，共30分）1、下列词语中加点字的读音完全正确的一项是（）A. 蹉跎（cuōtuó）嗔怪（chēn）遐想（xiá）B. 恪守（kè）狭隘（ài）蓬蒿（hāo）C. 睥睨（pìnì）阴霾（mái）窥视（kuī）D. 虐待（nüè）涟漪（yī）哂笑（xǐng）2、下列各组词语中，没有错别字的一项是（）A. 烦躁寒喧残羹冷炙敝帚自珍B. 鞭挞寥落冥顽不化短小精捍C. 嗔怒毗邻殒身不恤义愤填膺D. 怂恿蹒跚矫揉造作嘻皮笑脸3、下列句子中，加点成语使用恰当的一项是（）A. 军训基地的教官个个身怀绝技，相信他们定能因人成事，培养出优秀的学员。
B. 在“书香校园”活动中，学校开展经典诵读比赛，学生们诵声琅琅，抑扬顿挫，展现了自己的风采。
C. 小李在这次月考中成绩优异，老师希望他在接下来的学习中能够再接再厉，取得更好的成绩。
D. 小红虽然家境贫寒，但她学习非常刻苦，经常焚膏继晷地读书，最终考上了心仪的大学。
4、下列各句中，没有语病的一句是（）A. 通过开展“城乡环境综合治理”活动，使我们进一步认识到保护环境的重要性。
B. 一个人能否有作为，取决于他是否受过良好的教育，是否有理想追求，是否刻苦勤奋。
C. 双休日里，大家去郊游，一定要注意交通安全，防止不要发生意外事故。
D. 减轻学生过重的课业负担，是目前中小学教学工作的当务之急。
5、下列句子中标点符号使用正确的一项是（）A. 他说过，没有人比他更热爱这个集体了！B. 到底是他错了？还是我错了？C. “这不是我们的狗，”普洛诃尔接着说，“这是将军的哥哥的狗。
”D. 《变色龙》选自《契诃夫短篇小说选》。
（人民文学出版社1979年版）6、下列文学常识表述有误的一项是（）A. 《红楼梦》是我国古代四大名著之一，作者曹雪芹，小说以贾宝玉、林黛玉的爱情悲剧为线索，描写了贾、史、王、薛四大家族的兴衰史。
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上海春季高考试卷精选
文档
TTMS system office room 【TTMS16H-TTMS2A-TTMS8Q8-
2017 年上海市春季高考试卷
一．填空题（本大题共 12 题，满分 54 分，第 1-6 题每题 4 分，第7-12 题每题 5
分）
1.设集合A {1, 2, 3} ，集合
B {3, 4}，
则A
B
2.不等式x 1 3 的
解集为.
3.若复数z满足 2 z 1 3 6i（i是虚数单位），则z
4.若 cos 1，则 sin(
) .
=
32
5.若关于
x、y
x 2 y 4
无解，则
a
的方程组
6
3 x
ay
.
.
. 6．若等差
数列{an}的前
5项的和
为
25，
则
a1 a5 .
7. 若
为P、Q是
圆
.
x
2
y
2
2 x 4 y 4
上的动
点，则
PQ
的最大
值
8.已知数列{an}的通项公式
为a n
3，则 lim
a1 a2 a n
n
n
a n
.
9.
若为
x
2
x
n
.
的二项式的各项系数之和为 729 ，则该展开式中常
数项的值
10．设椭
圆
x
2
2 y2? 1的左右焦点分
别为
F1、
F2
，
点
P在该椭圆上，则
使得
PF1 F2是等腰三角形的点
11. 设a1、a2、、a n 为P 的个数是
1 、
2 、
3 、
4 、
5 、
.
6 的一个排列，
则满足
a1 a 2 + a3 a4 + a5 a6
12.设a、b R，若函数f (?
x
)
3 的不同排列的个
数是
x
a
b 在区间
1, 2
x
.
上有二个不同的零
点，则
.
f 1的取值范围为
1
二．选择题（本大题共 4 题，每题 5 分，共 20 分）
13.函数f(
x)
? (
x
1)
2
的单调区间
是（
）
A. 0，
14.设a
?
R
，
"
a
B.
1，
0" 是
"
1
a
"
C.
的（
, 0
）条件
D.
,1
A.充分非必要
B.必要非充分
C.充要条件
D.既非充分又非必要
15.过正方形中心的平行截正方体所得的截面。
不可能的图形是（
）
A.三角形
B.长方形
C.对角线不相等的菱形
D.六边形
16.如图所示，正八边形A A
A A A
1 2 3 4 5
动点，则 A A
A P 的取值范围为（
1 3 1
A.[0,8 2]
B.[ 2 2,8 6
2]
A 6
A 7
A 8
）
C.[ 8
的边长为 2，若 P 为该正八边形边上的
6 2,
2 2] D.[ 8 6 2,8
6
2]
三．解答题（本大题共 5 小题，共 14+14+14+16+18=76 分）
17.如图，长方体
ABCD
A 1
B 1
C 1
D 1
中， AB BC ? 2 ， AA 1
? 3
;
（1）求四棱锥
A 1
ABCD
的体积；
（2）求异面直线
A 1C
与DD1
所
成
角
的
大
小
；
18.设a R，函数f (
（1）求a的值，使得（2）若f ( x) a22x)
2
x
a
2
；
x
1
意值范围.
f ( x)为奇函数；
对任x R 成立，求 a 的取
2
19.某景区欲建造两条圆形观
景步道M 、M
2
1（宽度忽略不计），如图所示，已知
AB⊥AC
，
AB AC AD? 6
0（单位：米），
要求圆
M
1
与
AB、AD分别相
切
与B、
D ，
圆
M
2
与
AC、AD分别相切
与
C、D
;
（1）
若
BAD?
600，求
圆
M 、M
2
1
的半径（结果精确
到）
（2）若观景步道M1 与M 2 的造价分别为每米千元与每米千元，如何设计
院M1 与M 2 的大小，使得总造价最低最低总造价是多少（结果精确到千
元）
2 y
2
1(b 0) ，直线l : y kx m
( km 0)
，l与
20.已知双曲线 :
x
b
2
'
为关'
Q 与 y 轴交于点 N (0,
Q 两点
P
P于
y 轴的对称点，
线 P
（1）若点 2, 0是的一个交
程；
（2）若b 1，点P的坐标为 ( 1
且NP
（3）若m
2
，求n关于b的
达式.
交
于
P
、3
21.已知函数
（1）解方程f
f
(
x)
(
x)
log
1 x
2
1 x
1
；
）设 x 1,1, a 1,
ax 1
1,1
（
2，证明：a
x
，
且
f?
? ? ax 1
f ( x )
f (
1
)
a
a x
；
（3）设数
列
范围，使得x3x
x
n
中
，
x n
对任意
x
( 1,1
)
n
1
，
n N
*
成
立。
( 1
)
n
1
4
3
xn
3
1
xn
，
n
N
*
，
求
x1
的取值
5。