湖北省鄂东南省级示范高中2016-2017学年高一下学期期
高中数学压轴题题型名校模考题汇总
专题10压轴题题型汇总压轴题型一、保值函数型“保值函数”，又称为“k 倍值函数”，“和谐函数”，“美好区间”等等。
1、现阶段主要是一元二次函数为主的。
核心思路是转化为“根的分布”。
2、函数单调性是解决问题的入口之一。
3、方程和函数思想。
特别是通过两个端点值构造对应的方程，再提炼出对应的方程的根的关系。
如第1题1.（江苏省连云港市市区三星普通高中2020-2021学年高一上学期期中联考）对于区间[,]a b 和函数()y f x =，若同时满足：①()f x 在[,]a b 上是单调函数；②函数(),[,]y f x x a b =∈的值域还是[,]a b ，则称区间[,]a b 为函数()f x 的“不变”区间.（1）求函数2(0)y x x =≥的所有“不变”区间；（2）函数2(0)y x m x =+≥是否存在“不变”区间？若存在，求出实数m 的取值范围；若不存在，请说明理由.2.（北京市昌平区2020-2021学年高一上学期期中质量抽测）已知函数2()f x x k =-.若存在实数,m n ，使得函数()f x 在区间上的值域为，则实数k 的取值范围为（）A ．(1,0]-B ．(1,)-+∞C ．2,0]D ．(2,)-+∞3.（广东省广州市第一中学2020-2021学年高一上学期11月考试）已知函数221()x f x x-=.（1）判断函数()f x 的奇偶性并证明；（2）若不等式23()1x f x kx x +-≥在1,14x ⎡⎤∈⎢⎥⎣⎦上恒成立，求实数k 的取值范围；（3）当11,(0,0)x m n m n ⎡⎤∈>>⎢⎥⎣⎦时，函数()()1(0)g x tf x t =+>的值域为[23,23]m n --，求实数t 的取值范围.4.(江苏省盐城市实验高级中学2020-2021学年高一上学期期中）一般地，若()f x 的定义域为[],a b ，值域为[],ka kb ，则称[],a b 为()f x 的“k 倍跟随区间”；特别地，若()f x 的定义域为[],a b ，值域也为[],a b ，则称[],a b 为()f x 的“跟随区间”，（1）若[]1,b 为2()22f x x x =-+的跟随区间，则b =______；（2）若函数()f x m =m的取值范围是______.压轴题型二、方程根的个数1.一元二次型“根的分布”是期中考试的一个难点和热点。
湖北省鄂东南省级示范高中教育教学改革联盟学校2023-2024学年高三上学期期中联考物理试题答案
2023年秋季鄂东南省级示范高中教育教学改革联盟学校期中联考高三物理参考答案一、选择题 题号 1 2 3 4 5 6 7 8 9 10 答案DACDDDCADADBCD11．（1）A 距地面的高度h ，A 、B 的质量m A 、m B （3分）（每个物理量1分）（2）()A A B A m h m m s m h µ=+− （3分）或者 s m h s m h m B A A +−=)(µ,hm h s m hm B B A A +−+=))(m （µ12．（1） B （2分）（2）① C （2分） ②（2分） ③ 1.54v (1.51—1.58)v 均可以（2分）0.58Ω （0.51—0.63)Ω均可以 （2分）13．解：（1）对A 、B 、C 中的气体，初状态有：P 1=P 0 = 76cmHg V 1=V AC +V B末状态有：P 2=P 0+9.5cmHg=85.5cmHg V 2=V AC =1000cm 3 （2分）根据玻意耳定律得 1122PV PV = （2分） 解得 V B =125cm 3 （1分）末状态有： P 4=P 0+10cmHg=86cmHg V 4=V AC - V x（2分）根据玻意耳定律得 3344PV PV =（2分）解得被测固体的体积为 350cm x V =（1分）14C 点离地高度为1.2cos 3R R R R θ++= （1分） 解得 1.75h m = （1分）由题可知，滑块到达摆渡车右端时刚好与摆渡车共速，速度大小设为v 根据动量守恒定律可得2G mv mv = （1分）综合解得 2.5L m = （1分） （3）滑块从滑上摆渡车到与摆渡车共速过程，若恰好碰到IJ0 3.75L m = （2分）滑块凹槽GHIJ 底面HI 长度0L 至少3.75m15．解：（1）小球由A 点进入第一象限后，所受电场力与重力平衡：E 1q=mg ，E 1=40N/C （2分）由几何关系得： r+√rr 2−1=OA ，r=2m （2分） 小球做匀速圆周运动：qV 0B 1==mV 02r，v 0=2m/s （2分）（2）由几何关系得：BC 与竖直方向夹角为θ=30° （1分）小球由B 到C 做直线运动，则电场力与重力的合力与v B 均沿BC 方向，当电场力与BC 垂直时，电场力有最小值：qE 2min =mgsinθ E 2min =20N/C （2分） 对小球有：mgcosθ=ma （1分） x BC =OBcosθ=2√33m （1分）v C 2-v 02=2ax BC ， （1分）代入数据得：a=5√3m/s 2 v C =2√6m/s （1分）（3）小球进入第三象限后，在重力、洛伦兹力作用下做变加速曲线运动，把初速度v C 分解为v 1和v 2，其中v 1满足：Bqv 1=mg ，v 1=mgB 2q =2√6m/s ，方向水平向左 （1分）则v 2=2√6m/s ，方向与x 轴正方向夹角为60° （1分）小球的实际运动可以分解为：运动一：速度为v 1=2√6m/s ，水平向左，合力为B 2qv 1-mg=0的匀速直线运动运动二：速度为v 2=2√6m/s ，顺指针旋转，合力为F 洛=B 2qv 2的匀速圆周运动 （1分） 当v 1和v 2的方向相同时合运动的速度最大，最大速度v m =v 1+v 2=4√6m/s （1分）方向水平向左 （1分）。
2024-2025学年湖北省鄂东南省级示范高中教育教学改革联盟高三上学期期中考试物理试题
2024-2025学年湖北省鄂东南省级示范高中教育教学改革联盟高三上学期期中考试物理试题1.人类自古以来就对自然界充满好奇。
日出日落、星宿列张、春华秋实、寒来暑往，大自然的各种神奇现象让人们惊叹不已，强烈渴望弄清其背后的规律和联系。
下列对物理课本上插图的相关说法，正确的是（）A．图甲，带正电的粉尘被吸附到板状收集器A上，最后在重力的作用下落入下面的漏斗中B．图乙，美国科学家富兰克林通过实验发现，雷电的性质与摩擦产生的电的性质完全相同，并命名了正电荷和负电荷C．图丙，1687年牛顿出版了他的名著《自然哲学的数学原理》，书中从开普勒行星运动定律出发，通过数学推导发现了万有引力定律，并利用扭秤实验测出了引力常量D．图丁，伽利略让铜球沿阻力很小的斜面滚下以“冲淡”重力，通过精确测定不同位置速度的方法发现斜面上的小球做匀加速直线运动，然后做了合理的外推，得到所有物体自由下落时仍会保持匀加速直线运动的性质2.第33届夏季奥林匹克运动会于2024年7月26日到2024年8月11日在法国巴黎举行，如图为奥运会上安置在比赛场地外侧的高速轨道摄像机系统，当运动员匀速通过弯道时，摄像机与运动员保持同步运动以获得高清视频。
下列说法正确的是（）A．摄像机所受合外力的大致方向为B．摄像机与运动员在弯道上运动的角速度相同C．摄像机与运动员在弯道上运动的速度都不变D．摄像机向心加速度比运动员的向心加速度更小3.如图所示为中国古代重力投石机示意图。
A端凹槽内装有一石子，杆在配重重力作用下转到竖直位置时石子被水平抛出。
若石子抛出速度增大，下列说法正确的是（）A．石子水平位移减小B．石子水平位移增大C．石子飞行时间变短D．石子飞行时间变长4.微信运动步数的测量是通过手机内的电容式加速度传感器实现的，其简化原理图如图所示，M极板固定，当手机的加速度变化时，N极板相对M极板能前后移动，进而改变电容器的电容，将运动信号转化为电信号。
图中R为定值电阻，则手机（）A．静止时，电容器两极板不带电B．匀速运动时，电流表指针偏转且示数恒定C．向前突然加速，则N板相对M板向后移动，电流表中有由b向a方向的电流D．向前突然减速，则N板相对M板向前移动，电流表中有由b向a方向的电流5. 2024年6月，我国探月工程，嫦娥六号顺利完成人类首次从月球背面采样的壮举，带回了1935.3克珍贵样品。
湖北省鄂东南省级示范高中教育教学改革联盟学校2022-2023学年高二上学期期中联考试题 英语含答案
2022年秋季鄂东南省级示范高中教育教学改革联盟学校期中联考高二英语试卷（答案在最后）考试时间：2022年11月15日上午08：00一10：00试卷满分：150分第一部分听力(共两节，满分30分)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1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 does the man need to do now?A. Lock the doors.B. Catch the last train.C. Finish his lesson.2. Why does the woman say the bar would shut down?A. Because of its location.B. Because of its advertisements.C. Because of its management.3. What does the man want to do?A. Have a cup of tea.B. Go online:C. Look at the menu.4. Where will the speakers finally go?A. To the A120.B. To the airport.C. To-their home.5. How does the man feel?A. Confident.B. Impatient.C. Worried.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。
每段对话或独白后有几个小题，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。
听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。
湖北省鄂东南省级示范高中教育教学改革联盟学校2022-2023学年高二上学期物理期中联考试卷
……外…………○…………装…学校：___________ 姓名：……内…………○…………装…湖北省鄂东南省级示范高中教育教学改革联盟学校2022-2023学年高二上学期物理期中联考试卷姓名：__________ 班级：__________考号：__________1．（2分）在人类探索自然规律的过程中，下列物理事实不正确的是（ ）A ．美国科学家富兰克林命名了正电荷和负电荷B ．法国物理学家安培提出了安培分子电流假说，揭示了磁现象的电本质C ．法拉第最早发现了电磁感应现象，并指出闭合电路中感应电动势的大小，跟穿过这一电路的磁通量的变化率成正比D ．普朗克解释黑体辐射规律时最早提出能量子假说。
2．（2分）安装适当的软件后，利用智能手机中的磁传感器可以测量磁感应强度B 。
如图，在手机上建立直角坐标系，手机显示屏所在平面为xOy 面。
某同学在武汉某地对地磁场进行了一次测量，测量时手机平放在水平桌面使z 轴正向保持竖直向上。
根据题图中测量结果可推知（ ）A ．测量时y 轴正向指向北方B ．测量时y 轴正向指向西方C ．武汉该地的地磁场小于50μTD ．武汉该地的磁倾角（磁场与水平方向的夹角）大于45°3．（2分）如图所示的真空空间中，仅在正方体中的黑点处存在着电荷量大小相等的点电荷，则图中a 、b 两点电场强度和电势均相同的是（ ）A ．B ．C ．D ．4．（2分）空间存在着匀强磁场B 和匀强电场E ，磁场的方向垂直于纸面（xOy 平面）向里，电场的方向沿y 轴负方向。
一带正电的粒子从坐标原点O 沿x 轴正方向以初速度v 0进入该场区，若0<v 0<E B ，在电场和磁场的作用下。
下列四幅图中，可能正确描述该粒子运动轨迹的是（ ）A ．B ．C ．2/ 10……内…………○………订………………○…※※线※※内※※答※※…外…………○………订…………………○…D．5．（2分）如图所示为电流天平，可以用来测量匀强磁场的磁感应强度。
湖北省鄂东南省级示范高中教育教学改革联盟学校2020-2021学年高二物理下学期期中联考试题(PDF
C．将光源向远离双缝的位置移动
（3）实验测得双缝间的距离 d＝1mm，双缝到屏的距离 l＝2m，若第 1 个亮条纹到第 11 个亮
条纹的中心间距为 1.178×10－2m，则该单色光的波长为
。
13．（9 分）光敏电阻是阻值随光照度的变化而发生变化的元件（照度的大小可以反映光的强弱，光 越强照度越大，照度单位为 lx）。某光敏电阻 R 的阻值随照度变化的曲线如图甲所示。
11．如图所示，abcd 为水平放置的光滑金属导轨，ab、cd 相互平行且间距 l=4m，导轨电阻不计，导 轨间有垂直于导轨平面的匀强磁场，磁感应强度大小为 1T。金属杆 MN 倾斜放置，与导轨 cd 的
夹角为θ= 53o ，金属杆的质量为 2kg，单位长度的电阻 r =2Ω，保持金属杆以速度 v=10m/s 沿平 行于 ab 的方向匀速滑动（滑动过程中与导轨接触良好，已知 sin 53o =0.8，g 取 10 m / s2 ）。则下
sin
2
t
（m），则下列说法正确的是（
）
A．质点做曲线运动
B．在 t=2 s 时质点的速度最大
C．在 t=2s 时质点的速度最大
D．在 t=2s 时质点的加速度最大
5． 用大量处于 n=4 能级的氢原子向低能级跃迁释放的光子，照射某种
2019-2020学年湖北省鄂东南省级示范高中联考高三(上)期中英语试卷
2019-2020学年湖北省鄂东南省级示范高中联考高三（上）期中英语试卷一、阅读理解（本大题共15小题，共30.0分）A4 Fun Runs Even Non-Runners Will EnjoyEven people who swear they hate running will manage to enjoy these races that somehow make the sport fun．Hot Chocolate 5KWhat better motivation on a cold morning run than the promise of a steaming cup of cocoa and lots of chocolate treats？At the Hot Chocolate 5K series that's exactly what awaits you at the finish line．There are prizes given to the top three male and female finishers，but casual participation is encouraged．The events are scheduled in the cooler months in major cities around the country．Color RunKnown as "The Happiest 5K on the Planet，" runners wear white and are painted from head to toe in different colors at each kilometer，crossing the finish line in a variety of colors．The fun run is untimed，taking the pressure off runners to keep a specific pace or worry about placing．Instead，the stress is on fun．Disney Running SeriesWhy not combine a trip to the happiest place on earth with a little exercise？Run Disney offers a number of half-marathon and marathon weekend packages，many of which also feature the more accessible 5K distance．On Disneyland's Super Heroes Half Marathon Weekend，Friday features a Spiderman-themed 5K，while the Disney World Marathon Weekend runs a family-friendly 5K through Epcot．Running with the BalloonsThis cross-country style 3.1-mile race in Reddington，New Jersey runs over grass，and concrete to create a new challenge．But，the highlight is the launch of more than 100 hot air balloons during the Reddington Festival of Ballooning，the largest summertime hot air balloon and music festival in North America．The motivation？The top male finisher and the top female finisher will each win a free ride in a hot air balloon!1.What is special about Color Run？______A. It brings you lots of fun．B. It combines running with music．C. There are no winners．D. There are colorful activities．2.Which run is suitable for family running at weekend？______A. Hot Chocolate 5K．B. Color Run．C. Disney Running Series．D. Running with the Balloons．3.What award will you get if you win Running with the Balloons？______A. A hot air balloon．B. A cup of hot chocolate．C. A free ticket to the festival．D. An exciting ride．BShoes can tell you a lot about a person．Winston was a firm believer in this．Although he had grown up hearing that eyes were "the windows to the soul，" he was always quite confused by this expression．That day，Winston was seated in his regular spot，a bench in the train station，watching the usuals pass by．But he noticed something different．Two bare feet walked past．Strange．He wondered what kind of a man couldn't afford to buy himself shoes．A dangerous man，perhaps．Certainly not the kind of man Winston wanted to be anywhere near．He shrank to one side of the bench，turning his eyes downward．The man，however，took the space made free by Winston's shrinking．"Sorry，it has been a rough day，" the shoeless person offered apologetically，placing a plastic bag down．"I had to sell my shoes．It's my little girl's birthday．All she wanted this year was a birthday cake with her name spelled out nice on the top．So that's what I went and got her．" He seemed to be speaking to no one in particular．He gestured to the bag．It was a small cake with the name "Amelia"．"It sure is pretty，ain't it？" the man said，noticing Winston's interest．"I just had to get it for her．But I had to sell my shoes for it …it was worth it，of course．"There was a crack in his voice like he was about to cry and Winston did something he rarely ever did；he looked up and met the stranger's eyes．They were kind eyes，sad，sweet and beautiful eyes，sharply contrasting his bare and dirty feet．While staring at the man，a sense of shame washed over Winston．Slowly，Winston reached down and slid off his white sneakers，exposing his socked feet to the cold of the station．He picked up the shoes and handed them to the stranger beside him．4.What did Winston use to believe？______A. Eyes are the windows to the soul．B. Clothes often show personality．C. A man can not be judged by his look．D. Seeing is believing．5.Why did Winston shrink to one side of the bench？______A. To avoid contact with the man．B. To make some space for the man．C. To sit more comfortably．D. To show his hate for the man．6.Which of the following best describes the stranger？______A. Kind and humorous．B. Poor but selfless．C. Poor but optimistic．D. Kind and ambitious．7.What made Winston ashamed？______A. The awkward staring．B. The man's bare and dirty feet．C. His comfortable but boring life．D. His wrong judgement of the man．CPicture this：You're searching the Internet and come across a website with interesting articles．Some are news stories．Others only look like news stories．They're actually advertisements，or ads．How do you，the reader，tell the difference between a news story and an ad？In the past，it was easier．We got most of our information from newspapers．Big news stories appeared on the front page，and ads were boxed off and clearly labeled．But on the Internet，the two are often presented together．It can be hard to tell which is which．So a research group conducted a study in which students were shown the home page of a popular digital magazine and found out what was a news story and what was an ad．Most were great at identifying certain types of ads．"It has a discount code， a big company logo，and the words limited time offer．" one student said．So where did kids get stuck？Some ads seem identical to real news stories．They have headlines and contain information．But they may also include the words sponsored content．Sponsored means "paid for，" and content refers to the information in the story．"Sponsored content" is a way of saying that something is an ad．Just because something is sponsored doesn't necessarily mean it's false．It means someone paid money for it to appear．Companies pay so that readers will see their stories，buy their products，and like what the company stands for．As a reader，you have a right to know who's behind the information you're consuming．The Internet is a vast sea of information．To use it well，you not only have to know how to swim but also how to avoid the sharks．Learning to tell the difference between an ad and a news story is an important step to becoming Internet-smart．8.What does the underlined phrase "boxed off" in paragraph 2 probably mean？______A. SeparatedB. Hidden．C. Marked．D. Ignored．9.Which of the following ads are easy for students to identify？______A. Ads with headlines．B. Ads with certain labels．C. Ads similar to real new stories．D. Ads containing some real information．10.What do we know about "sponsored content"？______A. It is always false．B. It is a real news story．C. It is an ad in disguise．D. Readers have to pay for it．11.What is the best title of the passage？______A. Be Internet smart．B. Sponsored contents．C. Ads on the Internet．D. False news stories．DWhen Omar Yaghi was growing up in Jordan，his neighborhood received water for only about 5 hours once every 2 weeks．If Yaghi wasn't up at dawn to turn on the taps to store water，his family，their cow，and their garden had to go without．At a meeting last week，Yaghi，now a chemist at the University of California，reported that he and his colleagues have created a solar-powered device that could provide water for millions in water-stressed regions．At its heart is a porous crystalline（多孔晶体）material，known as a metal-organic framework （MOF），which acts like a sponge：It sucks water vapor out of air，and then releases it as liquid water．Yaghi and his colleagues first developed a zirconium（锆）-based MOF in 2014 that could harvest and release water．But at ﹩160 per kilogram，zirconium is too expensive for massive use．So，last year，his team came up with an alternative called MOF-303，based on aluminum，which costs just ﹩3 per kilogram，but the harvest was only about 0.2 liters per kilogram of MOF per day．In July 2019，Yaghi reported that his team has designed a new and far more productive water harvester．Supported by a solar panel to power a fan and heater，which speed the cycles，the new device produces up to 1.3 liters of water per kilogram of MOF per day from desert air．Yaghi expects further improvements to increase that number to 8 to 10 liters per day．And his company this fall plans to release a microwave-size device able to provide up to 8 liters per day this fall．The company promises an enlarged version next year that will produce 22，500 liters per day，enough to supply a small village．However，it needs to be shown that Yaghi's MOFs can be produced cheaply on a large scale．Each potential commercial MOF needs to prove itself in stability，efficiency，and life span．But if MOFs can pass those tests，they could offer a solution to some of the world's most pressing problems．12.Why is Omar Yaghi's childhood mentioned at the beginning？______A. To show how serious water problem is．B. To arouse reader's interest．C. To introduce the chemist．D. To lead in the topic．13.What is the problem of MOF-303？______A. It costs too much．B. It is low in efficiency．C. It is hard to operate．D. It can't last long．14.According to Yaghi，how much water will a large water harvester produce per day？______A. 1.3 liters．B. 22，500 liters．C. 10 liters．D. 8 liters．15.What can be concluded from the last paragraph？______A. Yaghi's MOFs are in great demand now．B. Yaghi's MOFs have already entered the market．C. Yaghi's MOFs may help solve water shortage．D. Mass production of Yaghi's MOFs is impossible．二、阅读七选五（本大题共5小题，共10.0分）Ways to Achieve Your GoalsPeople often set goals．Perhaps you want to save money，lose weight or learn a new skill．But then you get busy．(1) So，how can we find time to work on these larger life goals？(2) If a goal is too general，it may be hard to pursue let alone achieve it．Let's say your goal is to get in better physical shape．That's a fine idea-but psychologists might say as a goal，it is too general．Instead，you could sign up for a regular exercise class．Experts say writing down your goal is another important step．It gets the goal out of your brain and into the real world．Some psychologists suggest that writing a goal on paper is better than typing it on a device or saying it into your phone．Your brain receives information differently when it comes from handwriting．(3)(4) If someone else knows about your goals，you are held accountable for any progress or lack of progress．Your friend might ask，"So，how many pages of your novel have you written？" If you keep saying "none，" you might feel badly．Now you feel a pressure to do it-the pressure of your friend's opinion of you．You should also break down big goals into small ones．(5) Some can be quite big．And for those bigger goals，experts suggest breaking them down into smaller ones．A．Not all goals are created equal．B．As you identify your goals，be specific．C．When setting a goal，make it achievable．D．Telling someone your goal is also helpful．E．If you write down your goal，you can post it somewhere as a reminder．F．Writing things down seems to say to the brain，"I am important! Remember me!" G．Before you know it，weeks，then months have gone by，and you are no closer to your goal．16. A. A B. B C. C D. D E.E F.F G. G17. A. A B. B C. C D. D E.E F.F G. G18. A. A B. B C. C D. D E.E F.F G. G19. A. A B. B C. C D. D E.E F.F G. G20. A. A B. B C. C D. D E.E F.F G. G三、完形填空（本大题共20小题，共30.0分）Layton's family owned some rental cabins（小屋）on Shields Mountain．Layton was 20 minutes from home when he got a call from his mother．She(21) "The mountain's on fire．" Layton(22)the gas immediately．Finding the police (23)all traffic on the main road，he turned around and headed for a back road．Halfway up the steep(24)path，his car(25) He called McGee，who drove in his pickup（皮卡货车）．They(26)first to Layton's rental cabins．"I wanted to make sure our guests were(27) They were．" says Layton．At that point，he had a(28)：try to save his cabins or rescue people renting other cabins nearby．"On the mountain，you don't have many(29)．They're mostly tourists who don't know their way around．" he says．Over the next hours，the two friends crossed the smoky(30)，knocking on doors and leading (31)people to safety．Layton would(32)into the driver's seat of a tourist's car and drive the family down the mountain on roads nearly(33)．"I know that mountain so well，" Layton said，"I could drive andknow(34)where I am just by time traveled．" McGee followed in his pickup，and when one family was safe，they returned in search of other(35)persons．They helped one elderly woman(36)barefoot and found a man nearly(37)in a burning cabin．Fourteen people died in the town．But the fire didn't (38)a single life on Shields Mountain．Though his home and business were(39)，Layton said "I wasn't worried about the(40)damage when I saw people trapped on the mountain．I knew I was gonna help them．"21. A. said B. replied C. shouted D. screamed22. A. hit B. filled C. fueled D. started23. A. reducing B. blocking C. directing D. controlling24. A. folding B. rising C. winding D. changing25. A. worked out B. came up C. broke out D. gave up26. A. headed B. walked C. ran D. escaped27. A. gone B. lost C. involved D. stuck28. A. challenge B. choice C. puzzle D. difficulty29. A. locals B. tourists C. policemen D. firefighters30. A. road B. mountain C. cabin D. car31. A. depressed B. injured C. panicked D. burned32. A. come B. sit C. go D. jump33. A. unbearable B. unbelievable C. invisible D. inconvenient34. A. absolutely B. truly C. immediately D. exactly35. A. tired B. terrified C. trapped D. upset36. A. avoid B. drive C. flee D. run37. A. dead B. unconscious C. dizzy D. desperate38. A. claim B. kill C. threaten D. risk39. A. abolished B. established C. hurt D. destroyed40. A. equipment B. property C. material D. income四、语法填空（本大题共1小题，共15.0分）41.In the US，high school students take the SAT exam to try for a spot at their dreamuniversity．In China，that all-or-nothing exam is the gaokao，the national college entrance examination students have to carefully cross (1) （reach）the next stage of their lives．A Little Reunion，a hit TV drama focusing on gaokao，came to (2) end on July 27th．(3)（adapt）from best-selling writer Lu Yingong's novel，the drama follows stories of three Beijing middle-class families (4) （optimism）couple with a poorly-performing son anda genius nephew； a divorced coule who later reunites for their daughter；and a pair ofofficials struggling to reconnect with their son after a six-year (5) （absent）from his life．The drama can (6) （easy）set off floods of memories related (7) the exam．"The series brings me back to 2014，the year (8) I took gaokao，" reads one popular comment on Weibo．Such comments (9) （be）common since it was released．The drama scores 8.3 on Douban，(10) （make）it the highest scorer among all series released through satellite channels in 2019 thus far．五、短文改错（本大题共1小题，共10.0分）42.假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文．文中共有 10 处语言错误，每句中最多有两处．每处错误仅涉及一个单词的增加、删除或修改．增加：在缺词处加一个漏字符号（^），并在其下面写出该加的词．删除：把多余的词用斜线（）划掉．修改：在错的词下面画一横线，并在该词下面写出修改后的词．注意：1．每处错误及其修改均仅限一词；2．只允许修改 10 处，多者（从第 11 处起）不计分．The water pen is wide used in the process of study， but we often have trouble using it because of its limiting ink and other disadvantages．To deal with these problem， consequently， I have worked heart and soul to create my own magic waterpen．The most shining function of the newly designed pen is it will contain special ink pow der which makes it to have endless ink． Furthermore， the pen is made of extremely st rong materials， that can protect the pen from damage when it might fall down onto the ground． Good still， so smoothly does it write that it can contribute to make your hand writing better．Such is a magic water pen． Are you interested in it？ Hoping it will be of great use f or users．六、书面表达（本大题共1小题，共25.0分）43.假设你是李华，你的美国朋友 Mike 想跟你讨论中国书法的有关知识，但原定的见面时间因故需要推迟，请给 Mike 写一封电子邮件，说明情况．内容如下：1．表示歉意并说明原因；2．重约见面时间；3．建议先参观中国书法展．注意：1．词数 100 左右；2．可适当增加细节，以使行文连贯．Dear Mike，________Yours，Li Hua答案和解析1.【答案】【小题1】C 【小题2】C 【小题3】D【解析】1．C．细节理解题．根据文章第三段The fun run is untimed， taking the pressure off runners to keep a specific pace or worry about placing．乐趣跑是不定时的，减轻跑步者的压力，以保持一个特定的速度或担心放置．可知颜色运行的特殊之处是没有赢家；故选C．2．C．细节理解题．根据文章第四段On Disneyland's Super Heroes Half Marathon Weekend， Friday features a Spiderman-them ed 5K， while the Disney World Marathon Weekend runs a family-friendly 5K through Epcot在迪斯尼乐园的超级英雄半程马拉松周末，周五的主题是蜘蛛侠主题的5K，而迪斯尼世界马拉松周末则有一个家庭友好型的5K穿越爱泼科特．可知迪斯尼跑步系列适合于周末的家庭运行；故选C．3．D细节理解题．根据文章最后一段The motivation？ The top male finisher and the top female finisher will each win a free ride in a hot air balloon!动机？顶部的男性修整器和上凹的修整器将每一个都能在热气球中获得免费的游乐设施！可知如果你赢了气球，你会得到令人兴奋的游乐设施奖励；故选 D 本文属于说明文阅读，作者通过这篇文章主要向我们描述了甚至那些发誓不喜欢跑步的人都会设法享受这些比赛，这些比赛在某种程度上让运动变得有趣．考察学生的细节理解和推理判断能力，做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确的选择．在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．4.【答案】【小题1】B 【小题2】A 【小题3】B 【小题4】D【解析】1．B．细节理解题．根据diyiduanShoes can tell you a lot about a person． Winston was a firm believer in this．鞋子可以告诉你很多关于一个人的信息．温斯顿坚信这一点．可知，温斯顿曾经相信衣服经常表现出个性．故选B．2．A．细节理解题．根据第三段He shrank to one side of the bench， turning his eyes downward． The man， however， to ok the space made free by Winston's shrinking．他缩到板凳的一侧，向下看．然而，那人抢走了温斯顿缩小的空间．可知，温斯顿移动到板凳的一侧是为了避免与男人接触．故选A．3．B．细节理解题．根据第四段he shoeless person offered apologetically，placing a plastic bag down．"I had to sell my shoes．It's my little girl's birthday．All she wanted this year was a birthday cake with her name spelled out nice on the top．So that's what I went and got her．这个赤脚的人道歉地说道，放下一个塑料袋．"我必须卖掉鞋子．这是我小女孩的生日．今年她想要的只是一个生日蛋糕，上面写着漂亮的名字．这就是我去得到她的原因．"可知，陌生人是可怜但无私的．故选B．4．D．细节理解题．根据最后一段There was a crack in his voice like he was about to cry and Winston did something he rarely ever did；he looked up and met the stranger's eyes．They were kind eyes，sad，sweet and beautiful eyes，sharply contrasting his bare and dirty feet．他的声音就像他快要哭了一样破裂，温斯顿做了他从未做过的事情；他抬起头，见了陌生人的眼睛．他们那双仁慈的眼睛，悲伤，甜美而美丽的眼睛，与他那双肮脏的双脚形成鲜明的对比．可知，他对那个人的错误判断让他感到羞愧．故选D．本文是一篇社会文化类阅读，主要讲述了温斯顿遇到了一个赤脚的男人，男人为了给女儿买蛋糕把鞋子卖掉了．阅读理解考察学生的细节理解和推理判断能力，做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确的选择．在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．8.【答案】【小题1】A 【小题2】B 【小题3】C 【小题4】A【解析】1-4 ABCA1．A．细节理解题．根据第二段"Big news stories appeared on the front page， and ads were boxed off and clearly labeled重大新闻报道出现在头版，广告被框起来，并清楚地标示出来‘．可知"boxed off"意为"分离"．故选A．2．B．细节理解题．根据第三段" Most were great at identifying certain types of ads． "It has a discount code， a big compa ny logo， and the words limited time offer大多数人都擅长识别特定类型的广告．它有一个折扣代码，一个大公司的标志，还有"限时优惠"的字样‘．可知有特定标签的广告容易被学生识别．故选B．3．C．推理判断题．根据第四段"They have headlines and contain information． But they may also include the words sponso red content． Sponsored means "paid for，" and content refers to the information in the story． "Sponsored content" is a way of saying t hat something is an ad．他们有标题和包含信息．但它们也可能包含单词sponsored content．赞助是指"付费"，内容是指故事中的信息．"赞助内容"是表示某物是广告的一种方式．‘．可知"sponsored content"是一个伪装的广告．故选C．4．A．推理判断题．根据最后一段" As a reader， you have a right to know who's behind the information you're consuming．The Internet is a vast sea of information． To use it well， you not only have to know how to swim but also how to avoid the sharks． Learning to tell the difference between an ad and a news story is an important step to becoming Internet-smart．作为读者，你有权利知道你所消费的信息背后的人是谁．互联网是一个巨大的信息海洋．为了更好地利用它，你不仅要知道如何游泳，还要知道如何躲避鲨鱼．学会区分广告和新闻报道是成为互联网智能的重要一步．‘．可知"Be Internet smart互联网是聪明的"是本文最好的题目．故选A．本文是一篇科教类阅读，文章主要介绍了互联网是聪明的．此题主要考查学生的细节理解和推理判断能力．做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确选择．在做推理判断题时不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．12.【答案】【小题1】D 【小题2】B 【小题3】B 【小题4】C【解析】1．D．细节理解题．根据文章第一段When Omar Yaghi was growing up in Jordan， his neighborhood received water for only about 5 hours once every 2 weeks．当奥马尔?亚吉（Omar Yaghi）在约旦长大时，他所在的社区每两周只接受一次大约5小时的水供应．可知第一段提到奥马尔?亚吉（Omar Yaghi）的童年是为了引出这一话题；故选D．2．B．细节理解题．根据文章第二段So， last year， his team came up with an alternative called MOF-303， based on aluminum ， which costs just ﹩3 per kilogram， but the harvest was only about 0.2 liters per kilogram of MOF per day．因此，去年，他的团队提出了一种名为MOF-303的替代品，其成本仅为每公斤3美元，但收获量仅为每天0.2升/千克．可知MOF-303的问题是它的效率很低；故选B．3．B．细节理解题．根据文章第三段The company promises an enlarged version next year that will produce 22，500 liters per day， enough to supply a small village．该公司承诺明年将扩大版本，每天生产22，500升水，足以供应一个小村庄．可知根据雅吉的说法，一台大型取水机每天能生产22，500升水；故选B．4．C．细节理解题．根据文章最后一段 But if MOFs can pass those tests， they could offer a solution to some of the world's mostpressing problems．和寿命．可知从最后一段可以得出Yaghi的MOF可能有助于解决缺水问题；故选 C本文属于说明文阅读，作者通过这篇文章主要向我们描述了Yaghi的MOF可能有助于解决缺水问题，考察学生的细节理解和推理判断能力，做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确的选择．在做推理判断题不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．16.【答案】【小题1】G 【小题2】B 【小题3】F 【小题4】D 【小题5】A【解析】1-5 GBFDA1．G．细节理解题．根据前文" Perhaps you want to save money，lose weight or learn a new skill．But then you get busy也许你想省钱、减肥或学习一项新技能．但是你会变得很忙"．可知此处应填"不知不觉中，几周、几个月过去了，你仍然没有接近你的目标"．故选G．2．B．细节理解题．根据下文"If a goal is too general，it may be hard to pursue let alone achieve it如果一个目标太笼统，就很难去追求，更别说实现了"．可知此处应填"当你确定你的目标时，要具体"．故选B．3．F．细节理解题．根据前文"Your brain receives information differently when it comes from handwriting当信息来自手写时，你的大脑会以不同的方式接收信息"．可知此处应填"把事情写下来似乎是对大脑说："我很重要!还记得我!""．故选F．4．D．推理判断题．根据下文"If someone else knows about your goals，you are held accountable for any progress or lack of progress如果别人知道你的目标，你要对任何进展或缺乏进展负责"．可知此处应填"告诉别人你的目标也是有帮助的"．故选D．5．A．推理判断题．根据前文"You should also break down big goals into small ones你也应该把大目标分解成小目标"．可知此处应填"不是所有的目标都是平等的"．故选A．本文是一篇选句填空，文章主要介绍了实现目标的方法．此题主要考查学生的细节理解和推理判断能力．做细节理解题时一定要找到文章中的原句，和题干进行比较，再做出正确选择．在做推理判断题时不要以个人的主观想象代替文章的事实，要根据文章事实进行合乎逻辑的推理判断．21.【答案】【小题1】D 【小题2】A 【小题3】B 【小题4】C 【小题5】D 【小题6】A 【小题7】A 【小题8】B 【小题9】A 【小题10】B 【小题11】C 【小题12】D 【小题13】C 【小题14】D 【小题15】C 【小题16】C 【小题17】B 【小题18】A 【小题19】D 【小题20】B【解析】1-5 DABCD 6-10 AABAB 11-15 CDCDC 16-20 CBADB（1）D．考查动词动词辨析及句意理解．A．said说；B．replied回答；C．shouted 喊叫；D．screamed尖叫．根据句意根据内容山上着火了，可见是尖叫着说出的．所以选D．（2）A．考查动词辨析及句意理解．A．hit打击；B．filled填满；C．fueled 加油；D．started开始．根据句意莱顿立刻打油门．所以选A．（3）B．考查动词辨析及句意理解．A．reducing 减少；B．blocking 拥堵；C．directing 指导；D．controlling控制．根据句意发现经常堵满了所有的主要道路．所以选B．（4）C．考查动词辨析及句意理解．A．folding 折叠；B．rising升高；C．winding 蜿蜒；D．changing改变．根据句意上山的路应该是蜿蜒的路．所以选C．（5）D．考查短语辨析及句意理解．A．worked out计算出；B．came up上来；C．broke out 爆发；D．gave up放弃．根据句意车上不去了．所以选D．（6）A．考查动词辨析及句意理解．A．headed向前；B．walked 走；C．ran 跑；．escaped 逃脱．根据句意先去莱顿的出租屋．所以选A．（7）A．考查动词辨析及句意理解．A．gone离开；B．lost 迷路；C．involved涉及到；D．stuck粘着．根据句意我想确定我们的客人都走了．所以选A．（8）B．考查名词辨析及句意理解．A．challenge 挑战；B．choice 选择；C．puzzle 迷惑；D．difficulty困难．根据句意试着去救他的小屋或者去救附近租其他小屋的人．这应该是一种选择，所以选B．（9）A．考查名词辨析及句意理解．A．locals当地人；B．tourists旅游的人；C．policemen 警察；D．firefighters消防员．根据句意山上的人大部分都是游客，所以是没有当地人．所以选A．（10）B．考查名词辨析及句意理解．A．road 道路；B．mountain 山；C．cabin 小屋；D．car车．根据句意那两个朋友穿过冒着烟雾的山．所以选B．（11）C．考查动词辨析及句意理解．A．depressed 沮丧的；B．injured受伤的；C．panicked 惊慌失措的；D．burned烧伤的．根据句意带领惊慌的人们去到安全的地方．所以选C．（12）D．考查动词辨析及句意理解．A．come来；B．sit坐下；C．go去；D．jump 跳跃．根据句意Layton跳进卡车的司机座位上开着车下山．所以选D．（13）C．考查形容词辨析及句意理解．A．unbearable无法忍受的；B．unbelievable 难以置信的；C．invisible 看不见的；D．inconvenient不方便的．根据句意在几乎看不见的路上开车送一家人下山．所以选C．（14）D．考查副词辨析及句意理解．A．absolutely完全地；B．truly真实地；C．immediately马上；D．exactly确切地．根据句意"我对那座山非常了解，"莱顿说，"我可以开车去了解准确地说，我只是时间旅行．．所以选D．（15）C．考查形容词辨析及句意理解．A．tired疲倦的；B．terrified 害怕的；C．trapped 被困的；D．upset不安的．根据句意他们返回寻找被困人员．所以选C．（16）C．考查动词辨析及句意理解．A．avoid避免；B．drive 驾驶；C．flee 逃跑；D．run跑．根据句意他们帮助一位老妇人赤脚逃离，发现一名男子在燃烧的小屋中几乎失去知觉，14人在镇上死亡．．所以选C．（17）B．考查形容词辨析及句意理解．A．dead死的；B．unconscious 失去知觉的；C．dizzy 眩晕的；D．desperate绝望的．根据句意他们帮助一位老妇人赤脚逃离，发现一名男子在燃烧的小屋中几乎失去知觉，14人在镇上死亡．．所以选B．（18）A．考查动词辨析及句意理解．A．claim 索取；B．kill 杀掉；C．threaten恐吓；D．risk冒险．根据句意但大火并没有夺去希尔兹山上的一条命．所以选A．（19）D．考查动词辨析及句意理解．A．abolished 抛光，打磨；B．established 已确立的；C．hurt 伤害；D．destroyed破坏．根据句意尽管他的家和生意都被毁了．所以选D．（20）B．考查名词辨析及句意理解．A．equipment 设备；B．property 财产；C．material 材料；D．income收入．根据句意当我看到有人被困在山上时，我并不担心财产损失．我知道我会帮助他们的．"．所以选B．本文写了我们所住小屋的山上起火了，在大火中去救小屋里的人或者附近租其他小屋的人的故事．做完型填空首先要通读全文，了解大意．一篇完形填空的文章有许多空格，所以，必须先通读一至两遍，才能大概了解文章的内容．千万不要看一句，做一句．其次要逐句分析，前后一致．选择答案时，要考虑整个句子的内容，包括搭配、时态、语法等．答案全部填完后，再通读一遍文章，检查是否通顺流畅了，用词得当，意思正确．41.【答案】【小题1】to reach【小题2】an【小题3】Adapted【小题4】optimistic【小题5】absence【小题6】easily【小题7】to【小题8】when【小题9】have been【小题10】making【解析】1．to reach．考查不定式．此处用不定式作状语表示目的．2．an．考查冠词．come to an end是固定搭配，意为"落下帷幕，结束"．3．Adapted．考查非谓语动词．通过分析可知这里要用非谓语动词作状语，这时adapt 与the drama之间是被动关系，因此要用过去分词形式．4．optimistic．此处用形容词作定语修饰couple．5．absence．考查名词．句意：一对在儿子离开六年后，官员们努力与他重新建立联系，根据前面的 a six-year可知这里要用名词．6．easily．考查副词．此处用副词修饰can set off．7．to．考查介词．be related to是固定搭配，意为"与…有关"，此处作定语修饰floods of memories．8．when．考查定语从句引导词．这里是一个定语从句，先行词是the year，且从句缺少状语，因此要用when来引导．9．have been．考查时态．句意：这样的评论自发布以来就屡见不鲜，根据后面的since it was released可知这里要用现在完成时．10．making．考查非谓语动词．通过分析可知这里要用非谓语动词作状语表示一种自然而然的结果．本文通过一部一部以高考为主题的热播电视剧《小团圆》说明，在中国，高考就是高考，全国高考的学生必须小心翼翼地跨过这一关，才能进入人生的下一个阶段．。
2024—2025学年湖北省鄂东南省级示范高中教育教学改革联盟学校高三上学期期中联考数学试卷
2024—2025学年湖北省鄂东南省级示范高中教育教学改革联盟学校高三上学期期中联考数学试卷一、单选题(★★) 1. 已知集合，，则（）A．B．C．D．(★★) 2. 已知，，则（）A．B． 2C．D．(★★★) 3. 设，则“”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(★★★) 4. 已知函数，那么在下列区间中含有函数零点的是（）A．B．C．D．(★★) 5. 在中，点，分别为，边上的中点，点满足，则（）A．B．C．D．(★★★) 6. 古代数学家刘徽编撰的《重差》是中国最早的一部测量学著作，也为地图学提供了数学基础，根据刘徽的《重差》测量一个球体建筑的高度，已知点是球体建筑物与水平地面的接触点（切点），地面上两点与点在同一条直线上，且在点的同侧，若在处分别测量球体建筑物的最大仰角为和，且，则该球体建筑物的高度约为（）A．B．C．D．(★★★) 7. 已知函数，当时，把的图象与直线的所有交点的横坐标限依次记为，记它们的和为，则（）A．B．C．D．(★★★) 8. 已知定义在上的函数在区间上单调递减，且满足，函数的对称中心为，则下述结论正确的是（）（注：）A．B．C．D．二、多选题(★★★) 9. 设四个复数，，，在复平面内的对应点、、、在同一个圆上，则下述结论正确的是（）A．与互为共轭复数B．点在第二象限C．复数的虚部是D．(★★★) 10. 已知两个正数，满足，则下述结论正确的是（）A．B．C．D．(★★★★) 11. 已知函数，若不等式对任意都成立，则实数的值可以为（）A．B．C．D．三、填空题(★★★) 12. 已知函数的最小正周期是，则的值为______ .(★★★) 13. 已知两个单位向量，满足，则向量和的夹角为 ______ . (★★★) 14. 设数列的前项和为，若是以为首项，公差为1的等差数列，并且存在实数，使得数列也成等差数列，则实数的取值范围是 ______ .四、解答题(★★★) 15. 记是等差数列的前项和，，且，，成等比数列.(1)求和；(2)若，求数列的前20项和.(★★★) 16. 记的内角，，的对边分别为，，，分别以，，为边长的三个正三角形的面积依次为，，，已知，.(1)求的面积；(2)若，求(★★★) 17. 已知角的始边与轴的非负半轴重合，终边与单位圆交于点，将射线按逆时针方向旋转后于单位圆交于点，，.(1)若，求的取值范围；(2)在（1）的条件下，当函数的最大值是时，求的值.(★★★) 18. 已知为函数的极小值点.(1)求的值；(2)设函数，若对，，使得，求的取值范围. (★★★★★) 19. 已知正实数构成的集合(1)若定义，当集合中的元素恰有个数时，称集合具有性质.①当，时，判断集合，是否具有性质，并说明理由；②设集合，其中数列为等比数列，且公比为2，判断集合是否具有性质并说明理由.(2)若定义，当集合中的元素恰有个数时，称集合具有性质.设集合具有性质且中的所有元素能构成等差数列.问：集合中的元素个数是否存在最大值？若存在，求出该最大值；若不存在，请说明理由.。