2020-2021学年上海市复旦附中2020级高一上学期1月期末考试数学试卷无答案
2020-2021学年上海市复旦附中2020级高一上学期1月期末考试
数学试卷
★祝考试顺利★
(含答案)
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)考生应在答题纸的相应位置直接填写结果
1.函数(
)()22f x log x =
+-的定义域为____. 2.不等式()()2
233131x x ->+的解集为____.
3.函数()()231f x log x =+,[]0,5x ∈的反函数是____.
4.对于实数a,b,c,d,定义a b ad bc c d -=
.设函数()()22111log x f x x log --=,则方程()1f x =的解为____.
5.若函数()1
ax f x x =+在区间()0,+∞是严格增函数,则实数a 的取值范围是____. 6.已知函数()241,f x min log x x ??=+????
,若函数()()g x f x k =-恰有两个零点,则k 的取值范围为____.
7.已知函数()()15||02
f x x x x =+->,则()f x 的递减区间是____. 8.若函数()232x x f x -=+?的图像关于直线x m =成轴对称图形,则m =____.
9.若关于x 的不等式1|2|02
x x m --<在[]0,1x ∈]时恒成立,则实数m 的取值范围为____. 10.已知函数()()()22815f x x x ax bx c =++++是偶函数,若方程21ax bx c ++=在区间[]1,2上有解,则实数a 的取值范围是____.
11.若函数()()2201
x x a f x x x ++=+的值域为[),a +∞,则实数a 的取值范围是____.
12.已知集合[][],14,9A t t t t =+?++,0A ?,若存在正数,使得对任意a A ∈,都有
A a λ∈,则t
的值是____. 二?选择题(本大题共4题,满分20分,每题5分)每题有且只有一个正确选项.考生在答题纸的相应位置,将代表正确选项的小方格涂黑
13.已知()f x 为定义在R 上的奇函数,当0x <时,()3x f x =,则函数()f x 的值域为()
A.()1,1-
B.[)0,1
C.R
D.[]0,1
14.中国的5G 技术领先世界,5G 技术的数学原理之一便是著名的香农公式:21S C Wlog N ??=+ ???
,它表示:在受噪声干扰的信道中,最大信息传递速率C 取决于信道带宽W ?信道内信号的平均功率S ?信道内部的高斯噪声功率N 的大小,其中S N
叫做信噪比.按照香农公式,若不改变带宽W,而将信噪比
S N 从1000提升至5000,则C 大约增加了() A.20% B.23% C.28% D.50%
15.若函数()1f x lnx a x
=-+在区间()1,e (其中 2.71828e =上存在零点,则常数a 的取值范围()
.01A d << B.11a e << C.111a e -<< D.111a e
+<< 16.设函数()f x 的定义域是R,已知以下三个陈述句:
p:存在α∈R 且0a ≠,对任意的x ∈R ,均有()()()22x a x f f f a -<+恒成立;
()1:q f x 严格递减,且()0f x >恒成立;
()2:q f x 严格递增,存在00x <,使得()00f x =
用这三个陈述句组成了两个命题,命题S:“若1q ,则P”;命题T:“若2q ,则P”,则关于S,T,以下说法正确的是()
A.两个命题S,T 都是真命题
B.只有命题S 是真命题
复旦附中自主招生英文试题
2012上海复旦附中自主招生英语试题(1) 摘要：上海复旦附中自主招生英语试题 31.They are fed up _______the old routine. A. with B. of C. at D. on 32.He is such a(n) _______teacher that has devoted all his and energy to his students. A. conscientious B. conscious C. academic D. scientific 33.We are looking for someone with a real sense of_______ to the job. A. committee B. commitment C. community D. commission 34.Since you are_______ to the seafood, you’d better avoid eating it. A. sensible B. sentimental C. sensitive D. sensory 35.During the celebration, fireworks have been_______ at the bay. A. set out B. set about C. set 36.There are fewer working hours in the executive jobs, _______the job stress is comparatively higher. A. that B. where C. which D. what 37.They declared the war, for they believed that country had_______ the weapons of mass destruction. A. liberated B. countered C. approved D. proliferated 38.The journalist reported the_______ of children labors who had worked many days on end. A. expansion B. expedition C. exploitation D. exploration What is the thing called happiness? For centuries, people were too busy pursuing it 39 much time analyzing it. Now a pioneering band of researchers has finally bagged the elusive quarry or at least taken its measure. Using such sophisticated new tools 40 the five-item Life Satisfaction Scale and the seven-point Delighted-terrible Scale (On a scale of one to seven, how do you feel about your life?),social psychologists have plumbed the heart of happiness. And their answer to the age-old 41 is that it all depends. Happiness, that is, 42 what makes. you feel happy, which is why psyc1hologists often call it―subjective well-being.‖ But from studies of various age and population groups in the United States and abroad, they have reached some 44 at the top of the charts is not, as many might expect, success, youth, good looks or any of those 45 assets. The clear winner is relationship, close ones, followed by happy marriage. Supportive, intimate connections with other people seem 46 important. Using simple survey questions, psychologist David Myers found that the 47 happy people are those in unhappy marriages. Happiest are those who married 48 their ―best friend.‖39. A. to spend B. spending C. has spent D. have spent
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复旦附中2018学年第一学期高一年级 数学期中考试试卷 考试时间：120分钟，满分150分，请将答案写在答题纸上 一、填空题（满分54分，1-6题每题4分，7-12题每题5分） 1. 集合{}?的元素个数是_________ 2. 已知()f x = (2)f x -的定义域是__________ 3. 命题“若3x >或2y >，则2 2 4x y +>”的逆否命题是________________________ 4. 函数4 y x x =+ （0x >）的递增区间是____________ 5. 已知()f x 是定义在上的奇函数，若0x <时，()(2)f x x x =-，则0x >时()f x = __________ 6. 若关于x 的方程22 (1)4(1)10a x a x -+++=无实根，则实数a 的取值范围是__________ 7. 函数221()()1 x f x x ++=的值域为_______________ 8. 已知正实数,x y 满足xy y x =+2，则y x +2的最小值等于 9.设集合,A B 是实数集 的子集，[1,0]A C B ?=-，[1,2]B C A ?=， [3,4]C A C B ?=，则A =___________ 10. 已知定义在 上的奇函数()f x 在[0,)+∞上递增，则下列函数（1）|()|f x ，（2）(||)f x （3） 1 () f x ，（4）()()f x f x -，中在(,0)-∞上递减的是____________ 11. 设函数1(| )2|x f x x += ,区间[,]M a b =（a b <），集合{(),}N y y f x x M ==∈，则使得M N =的实数对(,)a b 有________对 12. 对任何有限集S ，记()p S 为S 的子集个数。设{1,2,3,4}M =，则对所有满足 A B M ??的有序集合对(,)A B ，()()p A p B 的和为_____________
上海市复旦附中2018-2019学年高一上学期开学考英语试题
温馨提示：多少汗水曾洒下，多少期待曾播种，终是在高考交卷的一刹尘埃落地，多少记忆梦中惦记，多少青春付与流水，人生，总有一次这样的成败，才算长大。高考保持心平气和，不要紧张，像对待平时考试一样去做题，做完检查一下题目，不要直接交卷，检查下有没有错的地方，然后耐心等待考试结束。 I. Choice 复旦附中 2018-2019学年高一开学考考卷题型分析 复旦附中高一英语练习单选分析 1.Rather than read the science fiction alone in the classroom he preferred the performance put on by the American student’s choir. A.watching B. watch C. having watched D.to watch 【考点分析】答案选D,考察p refer to do sth rather than do sth 【核心单词】performance 表演put on 上映表演 2.Eggs in the shopping center are sold . A.by dozen B. by the dozen C. in dozens D. in the dozens 【考点分析】答案选C，考察固定搭配i n dozens 按打计算 【核心单词】in dozens 3.The Chinese government has decided to boycott the imported beef from UK for the purpose of the local citizen from mad cow disease. A.protecting B. preserving C. reserving D. releasing 【考点分析】答案选A，根据词意及句意来回答，protect 保护，preserve 保存， reserve 储备保存，r elease 释放 【核心单词】import 进口，mad cow disease 进口 4. Paper produced every year is the world’s production of vehicles. A. as three times heavy as B. the three time weight of C. three times the weight of D. three times heavier as 【考点分析】答案选C，考察倍数的表达法倍数the n of….. 倍数比较级t han… 倍数a s…as… 【核心单词】produce 产生，vehicle 交通工具 5.Don’t worry about it. My dog will the gate of my house when I am away. A.defend B. protect C. save D. guard 【考点分析】答案选D，根据词意及句意来选择，defend 防卫，protect 保护，save拯救，guard 守卫【核心单词】worry about 担心… 6.He set aside much money for his tuition each month and only a amount of money went to his living expense. A.little B. small C. tiny D. few 【考点分析】答案选B，修饰a mount 只能用l arge/small 【核心单词】set aside 留出
2020-2021学年上海市复旦附中2020级高一上学期1月期末考试数学试卷无答案
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复旦附中英语练习汉译英100句
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复旦附中高一期末(2019.01)
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