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七宝中学高三上期中(含答案解析版)

七宝中学高三上期中(含答案解析版)
七宝中学高三上期中(含答案解析版)

【全国百强校】上海市七宝中学2019届高三上学期期中考试数学试题

【全国百强校】上海市七宝中学2019届高三上学期 期中考试数学试题 学校_________ 班级__________ 姓名__________ 学号__________ 一、填空题 1. 集合的真子集有________个 2. 设全集,,,则图中阴影部分所表示的集合是________(用区间表示) 3. 命题“若实数、满足,则或”是________命题(填“真”或“假”) 4. 某个时钟时针长6,则在本场考试时间内,该时针扫过的面积是 ________ 5. 函数是奇函数,则实数的值为________ 6. 函数在上单调递增,则实数的取值范围为________ 7. 在△中,角、、所对的边分别为、、,若,,,则△的面积为________ 8. 已知函数,则的解集是________

9. 若关于的不等式在上恒成立,则正实数的取值范围为________ 10. 已知常数,函数的图象经过点, .若,则______. 11. 已知函数,若,则 的最大值是________ 12. 已知函数,如果函数恰有三个不同的零点,那么实数的取值范围是________ 二、单选题 13. “函数存在反函数”是“函数在上为增函数”的()A.充分而不必要条件B.必要而不充分条件 C.充分必要条件D.既不充分也不必要条件 14. 若函数的反函数为,则函数与的图象可能是 A.B.C.D. 15. 在△中,角、、所对的边分别为、、,给出四个命题:(1)若,则△为等腰三角形; (2)若,则△为直角三角形; (3)若,则△为等腰直角三角形;

(4)若,则△为正三角形; 以上正确命题的个数是() A.1 B.2 C.3 D.4 16. 是定义在上的函数,且,若的图像绕原点逆时针旋转 后与原图像重合,则在以下各项中,的可能取值只能是()A.0 B.1 C.2 D.3 三、解答题 17. 已知锐角和钝角的终边分别与单位圆交于、两点,其中点坐标 . (1)求的值; (2)若,求点坐标. 18. 如图,某公园有三个警卫室、、有直道相连,千米,千米,千米. (1)保安甲沿从警卫室出发行至点处,此时,求的直线距离;(2)保安甲沿从警卫室出发前往警卫室,同时保安乙沿从警卫室出发 前往警卫室,甲的速度为1千米/小时,乙的速度为2千米/小时,若甲乙两人通过对讲机联系,对讲机在公园内的最大通话距离不超过3千米,试问有多 长时间两人不能通话?(精确到0.01小时) 19. 问题:正数、满足,求的最小值. 其中一种解法是:,当且仅当

上海市七宝中学2016届高三考前模拟英语试题(一) Word版含答案

2016高三英语模拟考试 II. Grammar and Vocabulary Section A Directions:After reading the passages below, fill in the blanks to make the passages 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. (A) Once just a science fiction idea, VR has now become more accessible than ever. (25) _________ (wear) a pair of VR goggles connected to your computer and you can experience a lot of things without stepping out of the room. From climbing (26) _________ (high) mountain in the world to flying a spacecraft, the things you can experience with VR are limitless. This new 'reality ' is starting to takeover China. The Report on Chinese VR Users' Behavior was released on March 18 during the 12th TFC Global Mobile Game Conference & Intelligent Entertainment Expo held in Beijing. The report is based on a survey of 5,626 people, (27) _________ (age) between 15 and 39, from across the country. It shows that up to 68.5 percent of people have heard of or are interested in VR products. But surprisingly, it isn't new technology that has made VR so popular. 'VR has been (28) _________ for many years, but it will stick this time because there's enough computer power and the price will just keep going down,' Todd Richmond, a VR group member with the Institute of Electrical and Electronic Engineers in the US, told USA Today. VR (29) _________ (expect) to change various different fields. For example, VR could be used to train pilots and miners before they had to actually risk their lives in highly dangerous working environments, or to treat patients with acrophobia(恐高症)by making them think they were standing on top of a high building. 'If you have perfect virtual reality, (30) _________ you'll be able to simulate everything that a human can experience or imagine experiencing,it's hard to imagine where you go from there,' Palmer Luckey, 23 inventor of the Oculus VR goggles, told NPR. But the technology is still far from perfect. Users report experiencing motion sickness, headaches and other discomfort while wearing VR goggles. Also, (31) _________ more and more tools are flooding the market, the software that runs VR games and simulators has yet to catch up with all the new advancements. It could take (32) _________ while for VR to be widely accepted. When every new technology is first introduced, the technology (33) _________ is the driving force. But for it to really blend into people's lives, meeting basic and practical needs should be the main aim. (B) It has become the talk of the town: A stranger allegedly attacked a woman in a Beijing hotel at night on April 3. The man is said to have clutched her by the neck and attempted to drag her into the elevator. Lodgers passed by, but no one tried to intervene until one woman did. Her actions are believed to (34) _________ (save) the victim from whatever was going to happen to her. The incident has pushed the risks of solo traveling into the spotlight. Online forums like Sina Weibo (35) _________ (flood) with advice for how women (36) _________ protect themselves

上海市七宝中学2017届高三10月月考数学试题

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2018届上海市七宝中学高三模拟理科数学试题及答案

七宝中学高三 数学模拟试题(理科) 一、填空题(本题满分56分)本大题共有14题,要求在答题纸相应题序的空格内直接填写结果,每个空格填对得4分,否则一律得零分. 1.为虚数单位,复数的虚部是____. 2.设函数若函数存在两个零点,则实数的取值范围是__. 3.在极坐标系中,为曲线上的点,为曲线上的点,则线段长度的最小值是__. 4.阅读如右图所示的程序框图,如果输入的的值为6,那么运行相应程序,输出的的值为__.

5.若,则方程的解为____. 6.已知正方形的四个顶点分别为,,,,点 分别在线段上运动,且,设与交于点,则点 的轨迹方程是___. 7.年龄在60岁(含60岁)以上的人称为老龄人,某小区的老龄人有350人,他们的健康状况如下表: 其中健康指数的含义是:2代表“健康”,1代表“基本健康”,0代表“不健康,但生活能够自理”,-1代表“生活不能自理”.按健康指数大于0和不大于0进行分层抽样,从该小区的老龄人中抽取5位,并随机地访问其中的3位.则被访问的3位老龄人中恰有1位老龄人的健康指数不大于0的概率是_____(用分数作答). 8.已知数列{}的通项公式为,则 +++的最简表达式为_____.

9 .平面的斜线交于点,过定点的动直线与垂直,且交于点,则动点的轨迹是_________________. 10.祖暅原理对平面图形也成立,即夹在两条平行线间的两个平面图形被任意一条平行于这两条直线的直线截得的线段总相等,则这两个平面图形面积相等.利用这个结论解答问题:函数、 与直线所围成的图形的面积为_______. 11.对于任意正整数,定义“n的双阶乘n!!”如下:对于n是偶数时, n!!=n·(n-2)·(n-4)……6×4×2;对于n是奇数时,n!!=n·(n -2)·(n-4)……5×3×1. 现有如下四个命题:①(2018!!)·(2018!!)=2018!;② 2018!!=21007·1007!;③2018!!的个位数是0;④2018!!的个位数不是5.正确的命题是________. 12.已知关于t的一元二次方程.当方程有实根时,则t的取值范围______. 13.已知是内部一点,,记、、 的面积分别为、、,则________. 14. 在平面直角坐标系中,对于任意相邻三点都不共线的有序整点列(整点即横纵坐标都是整数的点):与: ,其中,若同时满足:①两点列的起点和终点分别

2020-2021学年上海市闵行区七宝中学高三英语上学期10月月考试卷-难易度及易错题分析版

2020-2021学年上海市闵行区七宝中学 高三英语上学期10月月考试卷 I. Listening Comprehension(略) II. Grammar and Vocabulary (20分) Section A Directions: 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. Challenging work that requires lots of analytical thinking, planning and other managerial skills might help your brain stay sharp (21) you age, a study published Wednesday in the journal Neurology suggests. Researchers from the University of Leipzig in Germany gathered more than 1, 000 retired workers who were over age 75 and had the volunteers’ memory and thinking skills (22) (assess)through a battery of tests. Then, for eight years, the scientists asked the same group to come back to the lab every 18 months (23) (take) the same sorts of tests. Those who (24) (hold)mentally stimulating, demanding jobs before retirement tended to do the best on the tests. And they tended to lose cognitive(认知)function (25) a much slower rate than those with the least mentally challenging jobs. The results held true even after the scientists accounted for the participants’ overall health status. “This works just like physical exercise,” says Francisca Then, who led the study. “After a long run, you may feel like you’re in pain, you may feel tired. But it makes you fit. After a long day at work — sure, you will feel tired, (27) it can help your brain stay healthy. ” It’s not just corporate jobs, or even paid work (26) can help keep your brain fit, Then points out. A waiter’ s job, for example, (28) ( require) multitasking, teamwork and decision-making could be just as stimulating as any high-level office work. And “running a family household requires high-level planning and coordinating(协调),” she says. “You (29) _______ ________organize the activities of the children and take care of the bills and groceries.” Of course, our brains can decline as we grow older for lots of reasons — including other environmental influences or genetic factors. Still, continuing to challenge (30) mentally and keeping your mind busy can only help. 【答案】 21. as 22. assessed23. to take 24.had held25. at26. that 27. but28.requiring 29. have to30. yourself 【难度】中等

上海市七宝中学2018-2019学年高一上学期期中考试数学试卷

上海市七宝中学2018-2019学年高一上学期数学期中考试试卷 一、单选题 1.如图,为全集,、、是的三个子集,则阴影部分所表示的集合是 () A. B. C. D. 【答案】C 【考点】交、并、补集的混合运算 【解析】【解答】图中的阴影部分是:M∩P的子集, 不属于集合S,属于集合S的补集 即是C I S的子集则阴影部分所表示的集合是(M∩P)∩?I S 故答案为:C. 【分析】根据集合的运算结合韦恩图,即可确定阴影部分所表示的集合. 2.下列各组函数中,表示同一函数的是() A. 与 B. 与 C. 与 D. ()与() 【答案】D 【考点】判断两个函数是否为同一函数

【解析】【解答】对于A选项,,f(x)的定义域为R,g(x)的定义域为[0,+∞),∴不是同一函数; 对于B选项的定义域为 的定义域为∴不是同一函数;对于C选项,f(0)=-1,g(0)=1,f(0)≠g(0),∴不是同一函数. 对于B选项,f(x)的定义域为,g(x)的定义域为,且且两函数解析式化简后为同一解析式,∴是同一函数. 故答案为:D. 【分析】判断两个函数是否表示同一个,看定义域和对应关系是否相同即可. 3.已知,则“ ”是“ ”的() A. 充分非必要条件 B. 必要非充分条 件 C. 充要条件 D. 既非充分又非必要条件 【答案】A 【考点】必要条件、充分条件与充要条件的判断 【解析】【解答】由题意可知:a,b∈R+,若“a2+b2<1” 则a2+2ab+b2<1+2ab+a2?b2, ∴(a+b)2<(1+ab)2 ∴ab+1>a+b. 若ab+1>a+b,当a=b=2时,ab+1>a+b成立,但a2+b2<1不成立. 综上可知:“a2+b2<1”是“ab+1>a+b”的充分不必要条件. 故答案为:A. 【分析】根据不等式的性质,结合充分、必要条件的概念进行判断即可. 4.汽车的“燃油效率”是指汽车每消耗1升汽油行使的里程,下图描述了甲、乙、丙三辆汽车在不同速度下得燃油效率情况,下列叙述中正确的是()

2020届上海市七宝中学高三三模数学试题

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2019-2020年上海市七宝中学高一上12月月考数学试卷(含答案案)

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