重庆市名校联盟高2017级高三下第一次月考试题

重庆市名校联盟2023-2024学年高三下学期第一次联考数学试题学校:___________姓名：___________班级：___________考号：___________由④⑤得()()24-+-=g x g x ，则()()24++=g x g x ，所以()()424+++=g x g x ，得到()()4g x g x +=，()g x 周期为4，因为()()24-+-=g x g x ，令1x =，则()()114g g +-=，又因为()g x 为偶函数，则()()11g g =-，则()241=g ，所以()12g =，()()()20254506112=´+==g g g ，故选项B 错误；因为()()422f x g x -+-=， 得()()22f x g x +-=，()()22f x g x -+=，又因为()()24-+=g x g x ，所以()()20f x f x +-=，又因为()()4f x f x =-，所以()()420-+-=f x f x ，所以()()20f x f x ++=，则()()42()f x f x f x +=-+=，所以()f x 周期为4，由③知，()()()4f x f x f x =-=-，所以()f x 是R 上的偶函数，故选项C 正确；由选项B 知，()()22f x g x +-=，()()4f x f x =-，()()24-+=g x g x ，对三个式子分别关于x 求导可得，()()20¢¢--=f x g x ⑥，()()4f x f x ¢¢=--⑦，()()20¢¢--=g x g x ⑧，由⑥得()()20¢¢--=f x g x ⑨，⑥-⑨结合⑧可得()()2f x f x ¢¢=-，又因为()()4f x f x ¢¢=--，则()()()22¢¢¢+=--=-f x f x f x ，即()()2f x f x ¢¢+=-，则()()()42f x f x f x ¢¢¢+=-+=，()f x ¢周期为4，由()()4f x f x ¢¢=--知，()()22¢¢=-f f ，()20f ¢=，所以DM AD^，因为AP^平面ABCD，且DMÌ平面ABCD，，所以AP DM^因为AP AD AAP ADÌ平面PAD，Ç=，,所以DM^平面PAD，且ANÌ平面PAD，所以DM AN^，因为AP AD=，且点N是线段PD的中点，所以AN PD^，又因为DM PD DDM PDÌ平面PDM，I，,=所以AN^平面PDM，（2）因为AP^平面ABCD，且90Ð=°，BAD所以直线,,AB AD AP两两垂直，以A为原点，分别以直线,,AB AD AP为x轴，y轴，z轴，建立空间直角坐标系，如图所示：由2224====得，BC AB AP AD利用切合函数得到两个关键等式；三是把多变量转化为单变量，构造函数，利用单调性证明不等式.。

【考试时间：11月30日16：15~18：15】数学试题卷注意事项：1.答卷前､考生务必将自已的姓名､准考证号码填写在答题卡上2.作答时，务必将答案写在答题卡上.写在本试卷及草稿纸上无效.3.考试结束后，将答题卡交回.一､单项选择题（本大题共8小题､每小题5分，共40分.在每小题给出的四个选项中，只有一项是符合题目要求的）1.若复数满足，则可以为（ ）A. B. C. D.2.已知平面向量，则“”是“与的夹角为钝角”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.为等比数列的前项和，若，且，则等于（）A.2 B.4050 C. D.4.已知实数满足，则的最小值为（ ）A.20 B.25 C.30 D.355.若为锐角，已知（ ）A. B. C. D.6.已知函数的定义域为，若函数与函数的交点为，则（ ）A.0 B. C.2025 D.40507.已知圆，直线，点为直线上的动点.过点作圆的两条切线，切点分别为.若使得四边形为正方形的点有且只有一个，则实数的值为（）A.或B.或5C.3或D.3或58.已知点分别为椭圆的左､右焦点，过点作轴的垂线交椭圆于两点，分别为的内切圆圆心，则的周长是（ ）z i z z =⋅z 1i -1i +12i +12i -()()1,2,,1a b m ==- 2m <a b n S {}n a n 12a =20222030a a +=2025S 2-4050-x 104x <<1914x x +-αsin cos αα-=cos2α=2525-3535-()f x ()(),22f x f x =--R ()11221x x g x --=-+()f x ()()()112220252025,,,,,,x y x y x y 20251i i x ==∑2025222:(1)4C x y +-=:0l x y m ++=P l P C ,M N PMCN P m 3-5-3-5-12,F F 22:11612x y C +=1F x C ,M N 123,,O O O 12122,,MF F NF F F MN 123O O OC. D.二､多项选择题（本大题共3小题､每小题6分，共18分.在每小题给出的四个选项中，有多个选项是符合题目要求的､全部选对的得6分，部分选对的得部分分，有选借的得0分）9.函数的部分图象如图所示，则下列结论正砳的是（ ）A.B.C.关于直线对称D.将函数的图象向左平移个单位得到函数的图象10.已知抛物线的焦点为，过点的直线交该抛物线于，两点，点，则下列结论正确的是（ ）A.B.C.若直线的斜率为1，则D.面积的最小值为11.已知函数，则下列说法正确的是（ ）A.在上是增函数B.若关于的方程有两个不相等的实根，且，则C.若，不等式恒成立，则的取值范围为2+22+2-()()πsin 0,0,2f x A x A ωϕωϕ⎛⎫=+>>< ⎪⎝⎭2ω=π3ϕ=()f x 11π12x =()f x 5π12()2cos2g x x =24x y =F F ()()1122,,,A y B x y x ()0,1P -1214x x ⋅=-111AF BF+=AB 8AB =ABP ()()e ,ln x f x x g x x x =-=-()ln g x ()1,∞+x ()g x a =12,x x 12x x <1223x x +>0,0a x >∀>()e ln 1xa f f x x x ⎛⎫⋅-+ ⎪⎝⎭…a 2,e ∞⎡⎫+⎪⎢⎣⎭D.若，且，则的最大值为三､填空题（本大题共3小题，每小题5分，共15分）12.若直线与直线平行，则实数__________.13.点为平面直角坐标系的原点，，点满足，点为圆上一动点，则的最小值为__________.14.若数列满足对任意都有，则称数列为上的“凹数列”.已知，若数列为上的“凹数列”，则实数的取值范围是__________.四､解答题（共77分.解答应写出文字说明，证明过程或演算步骤）15.（本小题满分13分）记的内角的对边分别为.已知为边的中点，且.（1）求证：；（2）若，求的面积.16.（本小题满分15分）已知数列的前项和为，且.（1）若，求；（2）若数列是单调递增数列，求首项的取值范围.17.（本小题满分15分）某校高三年级在一次数学测验中，各位同学的成绩，现规定：成绩在的同学为“成绩顶尖”，在的同学为“成绩优秀”，低于90分的同学为“不及格”.（1）已知高三年级共有2000名同学，分别求“成绩优秀”和“不及格”的同学人数（小数按四舍五入取整处理）；（2）现在要从“成绩顶尖”的甲乙同学和“成绩优秀”的丙丁戊己共6位同学中随机选4人作为代表交流学习心得，在已知至少有一名“成绩顶尖”同学入选的条件下，求同学丙入选的概率：（3）为了了解班级情况，现从某班随机抽取一名同学询问成绩，得知该同学为142分.请问：能否判断该班成绩明显优于或者差于年级整体情况，并说明理由.（参考数据：若，则，()()()12e 1f x g x a a ==>-210x x >>()21ln e ln x ax a a -+-e-21:20l x m y m ++=2:210l x y ++=m =O ()3,0A -P 2PA PO =Q 22:(3)(4)1C x y -+-=PQ PC +{}n a *n ∈N 212n n n a a a +++…{}n a *N 244m n n mn n b +=-{}n b {}*2n n ∈N ∣…m ABC ,,A B C ,,a b c 12cos ,a c B D c a+=+AC sin sin BD ABC a C ∠=BD b =4b =ABC {}n a n n S 1221n n a S n +=+-11a =n S {}n a 1a ()110,100N ξ~[140,150][)130,140()2,X N u σ~()0.6827P u X u σσ-+=……）18.（本小题满分17分）已知双曲线，其左顶点，离心率.（1）求双曲线方程及渐近线方程；（2）过右焦点的直线与双曲线右支交于两点，与渐近线分别交于点，直线分别与直线交于.（i）求的取值范围；（ii ）求证：以为直径的圆过定点，并求出该定点.19.（本小题满分17分）已知函数.（1）讨论函数极值点的个数；（2）当时，数列满足：.求证：的前项和满足.()()220.9544,330.9973P u X u P u X u σσσσ-+=-+=…………()2222:10,0x y C a b a b-=>>()2,0A -32e =F ,P Q ,M N ,AP AQ 43x =,R T PQMN RT ()293ln 32f x x ax x =+-+()f x 32a ={}n a ()113,126n n n f a a a a +==+{}n a n 23n n S n <<+。

重庆11中高2017级高三11月考试英语试题本试卷分第I卷（选择题）和第II卷（非选择题）两部分。

第二部分阅读理解(共两节，满分40分)ANo trip to Chicago is complete without a visit to the Art Institute, which is the second largest art museum in the nation.Opening hours:Mon - Wed & Fri - Sun, 10:30 am - 5 pm; Thu, 10:30 am- 8 pm; closed on New Year’s Day, Thanksgiving, and Christmas Day.Highlights:The Modern Wing contains contemporary masterpieces by Dali, Matisse, Miro, Picasso, Pollock, and Warhol.●In the Central Hall visitors can view one of the world’s finest Impressionistcollections, including masterpieces by Monet, Degas, Renoir, Seurat, Gauguin, and Van Gogh.●Thorne Miniature Rooms offer a detailed view of European homes from the 16thcentury through the 1930s and American homes from the 17th century to 1940.●The past returns as over 550 works from 4,000 years of art come together inOf Gods and Glamour, located in the beautiful new Mary and Michael Jaharis Galleries of Greek, Roman, and Byzantine Art.Advice for visitors:●Free guided tours are available daily at noon.●Free art-making activities are available for children each weekend from 11am to 2 pm.●Visit the Family Room in the Ryan Education Center, open daily from 10:30 am–5 pm, and introduce your child to the museum’s collect ions with a variety of hands-on activities. Assemble (组装) puzzles based on masterpieces you’ll see in the galleries, build architectural wonders with colorful blocks, and learn about art through stories and games at Curious Corner.●Check out the Lion’s Tri al tour for children ages 5-10. This tour is especiallydesigned for the young people in your group! Don’t miss it!Getting there:You can take the follow buses: 1, 3, 4, 6, 7, 14, 26, 28, 126, 143.21. In the Modern Wing visitors can see works of ____.A. Van Gogh.B. PicassoC. MonetD. Seurat22. Where can you go if you want to see European homes in the 17th?A. The Family Room.B. Of Gods and Glamour.C. Thorne Miniature Rooms.D. The Modern Wing.23. What can children do at Curious Corner?A. Hold a birthday party.B. J oin the Lion’s Trail tour.C. Communicate with artists.D. Play with colorful blocks.BIt’s that time of year when people need to lock their cars. It’s not because there’re lot s of criminals stealing cars. Rather, it’s because of good-hearted neighbors who want to share their harvest. Especially with this year’s large crop s, leaving a car unlocked in my neighborhood is an invitation for someone to stuff it with zucchini（西葫芦）.My sister, Sharon, recently had a good year of tomatoes. She and her family had eaten and canned so many that they begun to feel their skin turn slightly red. She decided to share her blessings. She called everyone she knew. When that failed, she began asking everyone in the neighborhood, eventually finding a neighbor delighted to have the tomatoes. “Feel free to take whatever you want,” Sharon told her. She felt happy that she could help someone and that the food didn’t go to waste.A few days later, the neighbor appeared in her house, holding a hot loaf of bread. She smiled,” I wanted to thank you for the tomatoes, and I have to admit I took a few other things too.”Sharon couldn’t think of anything else that had been worth harvesting and said so,” Oh, but you did,” the neighbor said. “You had some of the prettiest zucchiniI’ve ever seen.”Sharon was confused. They hadn’t even planted any zucchini. But her neighbor insisted there were bright-green zucchini in her garden. Sharon decided to go to see where the zucchini had grown. The two of them walked into the backyard. When the neighbor pointed at the long green vegetables, Sharon smiled,” Well, actually, those are cucumbers that we never harvested, because they got too big, soft and bitter for eating.”The neighbor looked at Sharon, shock written all over her face. Then, smiling, she held out the bread she had shared all over the neighborhood. “I brought you a nice loaf of cucumber bread. I hope you will like it.”24. What does the underlined word “stuff” in Paragraph 1 probably mean?A. Decorate.B. Swap.C. Fill.D. Exchange.25. What does the author mean by saying “they had begun to feel their skin turn slightly red” in Paragraph 2?A. They thought they ate too many tomatoes.B. They got sunburnt when picking tomatoes.C. They were ashamed that they wasted too many tomatoes.D. They felt embarrassed by not sharing tomatoes with their neighbors.26. How might the neighbor feel after knowing the truth?A. Annoyed.B. Astonished.C. Grateful.D. Embarrassed.27. From the text, we can infer that the neighbor____.A. liked eating bread made of cucumbersB. only picked tomatoes in Sharon’s gardenC. mistook big cucumbers for zucchiniD. went to another neighbor’s garden mistakenlyCWhen someone is happy, can you smell it?You can usually tell when someone is happy based on seeing them smile, hearing them laugh or perhaps from receiving a big hug. But can you also smell their happiness?Surprising new research suggests that happiness does indeed have a scent, and that the experience of happiness can be transmitted through smell, reports .For the study, 12 young men were shown videos meant to bring about a variety of emotions while researchers gathered sweat samples from them. All of the men were healthy and none of them were drug users or smokers, and all were asked to abstain from drinking or eating smelly foods during the study period.Those sweat samples were then given to 36 equally healthy young women to smell, while researchers monitored their reactions. Only women were selected to smell the samples, apparently because previous research has shown that women have a better sense of smell than men and are also more sensitive to emotional signaling—though it's unclear why only men were chosen to produce the scents.Researchers found that the behavior of the women after smelling the scents—particularly their facial expressions—indicated a relationship between the emotional states of the men who produced the sweat and the women who sniffed them.“Human sweat produced when a person is happy brings about a state similar to happiness in somebody who breathes this smell,” said study co-author Gun Semin, a professor at Koc University in Turkey.This is a fascinating finding because it not only means that happiness does have a scent, but that the scent is capable of transmitting the emotion to others. The study also found that other emotions, such as fear, seem to carry a scent too. This ensures previous research suggesting that some negative emotions have a smell, but it is the first time this has proved to be true of positive feelings.Researchers have yet to isolate exactly what the chemical compound for the happiness smell is, but you might imagine what the potential applications for such a finding could be. Happiness perfumes, for instance, could be invented. Scent therapies（香味疗法）could also be developed to help people through depression or anxiety.Perhaps the most surprising result of the study, however, is our broadened understanding of how emotions get communicated, and also how our own emotions arepotentially managed through our social context and the emotional states of those around us.28. What is the main finding of the new research?A. Pleasant feelings can be smelt out.B. Negative emotions have a smell.C. Men produce more sweats.D. Women have a better sense of smell.29. The underlined part “abstain from” in Paragraph 3 probably means _________.A. continueB. practiceC. avoidD. try30. What is the application value of the new research?A. Perfumes could help people understand each other.B. Some smells could be created to improve our appearance.C. Perfumes could be produced to cure physical diseases.D. Some smells could be developed to better our mood.31.What should be the main idea for the passage? .A. Happiness comes from a scent of sweatB. Our emotions influence our smells.C. people need more emotional communicationD. Happiness does have a scent.DWhile most of us are happy to take the credit when things go well, few of us are willing to take the blame when things go wrong. Rather than trying to hide our shame or embarrassment, experts found that we are simply less aware when our actions result in a negative outcome.The research may explain why we often feel it hard to take the blame for our actions.“Our result suggests that people may really experience less responsibility for negative than for positive outcomes,” said Patrick Haggard, leading researcher and professor of the institute of Cognitive Neuroscience at University College London.In a series of tests, participants were asked to press a key. A sound then followed, either disapproving, neutral or approving, and they were then asked to estimate the time between the action and when they had heard the sound.Researchers found that individuals experienced different levels of responsibility depending on the outcomes. They also discovered they were significantly slower to recognize if their actions had resulted in a bad consequence, compared to when they had done well.“Effectively, we have found that we experience a negative outcome differently, not just retell it differently. We make a weaker connection when there is a bad result. And respond much more strongly when something good happens,”said Professor Haggard. When something goes right, everyone wants to take the credit, and when things go wrong, nobody is interested in putting their hands up.The researchers said ou r brain is“very much concerned”with reward, as good results are key to survival. Although our own perception(认知) of whether we are guilty of something or not is changed by the outcomes, this does not provide a defense if we have done something wrong.“Our e xperience of our own responsibilities can be misleading and can be strongly colored by the outcomes of our actions.”said Professor Haggard.“We have to take responsibility for what actually do, not just for how we experience things.”32. People who don’t ta ke the blame for their actions .A.always try to hide their shame or embarrassment.B.are only willing to take the credit when things go wellC.feel less responsible for negative than for positive outcomesD.are less aware of what to do when a negative outcome happens33. Which of the following statements is TRUE?A.Our level of responsibility can be strongly affected by the outcomes of our actions.B.When something bad happens, nobody is interested in dealing with the problem.C.People were quicker to recognize if their actions had resulted in a bad consequence.D.Participants were asked to count the time between pressing a key and hearing the sound.34. How is the passage developed?A.By giving examples.B.By quoting research findings.C.By analyzing cause and effect.D.By providing data.35. According to the passage, a person who is concerned with reward is .A.awkwardB.naturalC.absurdD.stubborn第二节(共5小题；每小题2分，满分10分)根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

2024年普通高等学校招生全国统一考试高三第一次联合诊断检测英语英语测试卷共8页，满分150分。

考试时间120分钟。

第一部分听力（共两节，满分30分）做题时，请先将答案标在试卷上。

录音内容结束前，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．￡9.18．C．￡9.15．答案是C。

1．What should the woman do if she has a pet dog?A．Walk it more. B．Make it energetic. C．Train it to be nice.2．Who is Jacob?A．The speakers’ friend.B．The speakers’ customer.C．The speakers’ co-worker. 3．How many persons will go with the man?A．One. B．Two. C．Three.4．When can the woman replace her phone with another?A．Within two years. B．Within one month. C．Within a week.5．Where does the conversation take place?A．In a store. B．At a hotel. C．In an office.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。

2024—2024重庆名校联盟2024届高三第一次联合考试理综物理试卷（基础必刷）一、单项选择题（本题包含8小题，每小题4分，共32分。

在每小题给出的四个选项中，只有一项是符合题目要求的）(共8题)第(1)题等量同种理想气体分别经绝热过程①和一般过程②，温度均从升至，p-V图像如图，过程①外界对理想气体做功为，过程②外界对理想气体做功为，则（ ）A．过程②内能的增量等于B．过程②内能的增量小于C．过程①理想气体向外界放出热量D．过程①理想气体从外界吸收热量第(2)题如图所示，斜面的倾角为，斜面的长度为。

在一斜面顶端，将甲、乙两个小球分别以和的速度沿同一方向水平抛出，甲球经时间恰落在斜面的底端，此时甲球速度与水平方向夹角为。

不计空气阻力，下列说法正确的是（ ）A．乙球将落在斜面的中点B．乙球经时间落在斜面上C．乙球落在斜面上时速度与水平方向夹角为D．乙球落在斜面上时速度大小为第(3)题北方冬天的雪景十分壮观。

如图（a）所示，质量为的甲坐在质量为的爬犁上，乙拉着轻质细绳右端A使爬犁在水平雪地上向前匀速运动。

简图如图（b）所示，已知拴接在爬犁两侧的细绳所在的平面与水平雪地的夹角为，两侧细绳等长且细绳间的夹角为，爬犁与雪地间的动摩擦因数为，重力加速度，。

则（）A．乙的拉力大小为150NB．两侧细绳上的拉力大小均为100NC．爬犁所受的摩擦力大小为90ND．爬犁对雪地的压力大小为190N第(4)题2023年5月30日，神舟十六号飞船成功对接空间站，组合体可看作绕地球做匀速圆周运动，运行轨道距地面高度为h。

已知地球半径为R，地球表面重力加速度为g，下列说法正确的是（ ）A．航天员漂浮在组合体中，处于平衡状态B．神舟十六号飞船从发射到对接的过程中，航天员处于完全失重状态C．组合体轨道处的重力加速度为D．组合体的运行速度为第(5)题如图所示，一定强度的激光（含有两种频率的复色光）沿半径方向入射到半圆形玻璃砖的圆心O点，经过玻璃砖后有A、B、C 三束光射出，下列说法正确的是（ ）A．A光束是单色光B．B光穿过玻璃砖所用的时间比C光穿过玻璃砖所用的时间长C．入射光的入射角从0开始增大，C光比B光先消失D．做双缝干涉实验时，用B光要比用C光条纹间距小第(6)题如图，用三根绝缘细绳把三个带同种电荷的小球A、B、C悬挂在点，小球静止时，恰好位于同一水平面，细绳与竖直方向的夹角分别为、、，已知小球A、B、C的质量分别为、、，电荷量分别为、、，则下列说法正确的是（　　）A．若小球的质量，则一定有B．若小球的质量，则可能有C．若小球所带电荷量，则一定有D．若小球所带电荷量，则一定有第(7)题如图所示，两端封闭的导热U形管竖直放置在水平面上，其中的空气被水银隔成①、②两部分空气柱，以下说法正确的是（ ）A．若以水平虚线MN为轴缓慢转动U形管，使其倾斜，则空气柱①长度不变B．若以水平虚线MN为轴缓慢转动U形管，使其倾斜，则空气柱①变短C．若周围环境温度升高，则空气柱①长度不变D．若周围环境温度升高，则空气柱①长度变大第(8)题如图为某燃气灶点火装置的原理图。

2024-2025学年重庆市“名校联盟”高一上学期第一次联合考试数学试题一、单选题：本题共8小题，每小题5分，共40分。

在每小题给出的选项中，只有一项是符合题目要求的。

1.下列命题中正确的A. ⌀与{0}表示同一个集合；B. 方程{x|(x−2)2(x−3)=0}的所有解的集合可表示为{2,2,3}；C. 由3，4，5组成的集合可表示为{3,4,5}或{4,5,3}；D. 很小的实数可以构成集合．2.已知命题p：∀x<1，x2<1，命题q：∃x≤0，x3+2≥0，则A. ¬p：∀x≥1,x2≥1B. ¬p：∃x<1，x2≥1C. ¬q：∀x≥0，x3+2<0D. ¬q：∃x≥0，x3+2<03.设M=2a2+5a+3，N=(a+1)(a+2)，则M与N的大小关系为A. M>NB. M<NC. M≤ND. M≥N4.设集合U={x∈N∗|x≤5}，A={3,4}，B={2,3}，则(C U A)∪B=A. {1,2,3}B. {1,2,3,4}C. {1,2,3,5}D. {2,3,4,5}5.“2≤x≤3”是“x2−x−12≤0”的A. 必要不充分条件B. 充分必要条件C. 充分不必要条件D. 既不充分也不必要条件6.若t>1，则关于x的不等式(t−x)(x−1t)>0的解集为A. (t,1t)B. (−∞,1t)∪(t,+∞)C. (1t,t)D. (−∞,t)∪(1t,+∞)7.若对任意x<0，不等式x+1x≤m2+3m恒成立．则实数m的取值范围是A. −2≤m≤−1B. m≤−2或m≥−1C. m≤1或m≥2D. 1≤m≤28.若a、b、c是三个不全相等的实数，且不等式ab+3bc≤t(a2+b2+c2)恒成立，则实数t的最小值为A. 102B. 52C. 22D. 32二、多选题：本题共3小题，共18分。

2021-2022学年重庆市名校联盟高一（下）第一次月考物理试卷1. 许多科学家在物理学发展过程中做出了重要贡献，下列说法正确的是( )A. 托勒密提出“日心说”，认为太阳是宇宙的中心，所有的行星绕太阳做圆周运动B. “月-地检验”表明，地面物体所受地球的引力和月球所受地球的引力遵从相同的规律C. 第谷发现了行星沿椭圆轨道运行的规律D. 牛顿总结提出了万有引力定律，并通过实验测出了万有引力常量2. 关于曲线运动、运动的合成与分解，下列说法正确的是( )A. 做曲线运动的物体，其速度大小一定是变化的B. 做匀速圆周运动的物体，所受的合外力不一定指向圆心C. 做曲线运动的物体，所受的合外力一定不为0D. 若合运动是曲线运动，则分运动至少有一个是曲线运动3. 一条小船渡河，河宽d=90m，河水流速v1=4m/s，船在静水中速度为v2=3m/s，关于小船的运动，下列说法正确的是( )A. 小船能垂直到达正对岸B. 小船合速度大小一定是5m/sC. 小船渡河时间最短为30sD. 若船头始终垂直于河岸渡河，渡河过程中水流速度加快，渡河时间将变长4. 如图所示，自行车的大齿轮与小齿轮通过链条相连，而后轮与小齿轮是绕共同的轴转动的。

设大齿轮、小齿轮和后轮的半径分别为r1、r2、r3，当A点的线速度大小为v时，C点的线速度大小为( )A. r1r2v B. r2r3v C. r3r1v D. r3r2v5. 乘坐如图所示游乐园的过山车时，质量为m的人随车在竖直平面内沿圆周轨道运动，设重力加速度大小为g，下列说法正确的是( )A. 人在最高点和最低点时的向心加速度一定相同B. 人在最高点时对座位一定有压力，且压力一定大于mgC. 车在最高点时人处于倒坐状态，全靠保险带拉住，若没有保险带，人一定会掉下去D. 人在最低点时对座位的压力大于mg6. 经长期观测人们在宇宙中已经发现了“双星系统”。

“双星系统”由两颗相距较近的恒星组成，每个恒星的线度远小于两个星体之间的距离，而且双星系统一般远离其他天体。

重庆市第一中学2024-2025学年高三上学期适应性月考（一）数学试题一、单选题1．已知集合(){}22log 13A x x =<−≤，{}5,6,7,8B =，则集合A B ⋂的子集个数为（ ） A ．16B ．8C ．4D ．22．已知m ∈R ，n ∈R ，则“228m n +>”是“4mn >”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．已知函数()()22,2,1,2,x x x f x f x x −⎧+≥⎪=⎨+<⎪⎩则()2log 3f =（ ）A ．83B ．103C ．356D ．3764．已知角α，β都是锐角，且tan α，tan β是方程2430x x −+=的两个不等实根则()cos αβ+=（ ）A ．5−B ．5−C D ．55．我校田径队有十名队员，分别记为,,,,,,,,,A B C D E F G H J K ，为完成某训练任务，现将十名队员分成甲、乙两队．其中将,,,,A B C D E 五人排成一行形成甲队，要求A 与B 相邻，C 在D 的左边，剩下的五位同学排成一行形成乙队，要求F 与G 不相邻，则不同的排列方法种数为（ ） A ．432B ．864C ．1728D ．25926．在ABC V 中，若sin :sin :sin 2:5:6A B C =，且AC =ABC V 的外接圆的面积为（ ） A ．4πB ．8πC ．16πD ．64π7．若()*n n ∈N 次多项式()()1212100n n n n n n P t a t a t a t a t a a −−=++⋅⋅⋅+++≠满足()cos cos n P x nx =，则称这些多项式()n P t 为切比雪夫多项式．如，由2cos 22cos 1θθ=−可得切比雪夫多项式()2221P x x =−，同理可得()3343P x x x =−．利用上述信息计算sin 54︒=（ ）A B C D ．488．若eln1.5a =，0.15e 4b −=，98c =（其中e 为自然对数的底数），则实数a ，b ，c 的大小关系是（ ） A ．c b a >>B ．c a b >>C ．b a c >>D ．b c a >>二、多选题9．下列关于概率统计的知识，其中说法正确的是（ ） A ．数据1−，0，2，4，5，6，8，9的第25百分位数是1 B ．已知随机变量(),XB n p ，若()40E X =，()30D X =，则160n =C ．若事件M ，N 的概率满足()()0,1P M ∈，()()0,1P N ∈且()()1P N M P N +=，则M 与N 相互独立D ．若一组样本数据(),i i x y （1i =，2，…，n ）的对应样本点都在直线132y x =−+上，则这组样本数据的相关系数为12−10．若0x >，0y >，且22x y +=，则下列结论正确的是（ ）A ．224x y +的最小值为2B ．24x y +的最小值为C ．()sin 123x y ++>D ．若实数1z >，则2232121x x y z xy z ⎛⎫++−⋅+ ⎪−⎝⎭的最小值为811．已知函数()2cos sin sin 21f x x x x =−++，则下列说法正确的是（ ）A ．函数()f x 的一个周期为πB ．函数()f x 的一个对称中心为π,4⎛− ⎝C ．函数()f x 在区间π,04⎡⎤−⎢⎥⎣⎦上单调递增 D ．方程()f x =3π11π,44⎛⎤⎥⎝⎦上共有6个不同实根三、填空题12．已知函数()()3f x x ax a =+∈R 在1x =处取得极值，则函数()f x 的极大值为 ．13．已知函数()()ππcos 0,22f x x ωϕωϕ⎛⎫=+>−<< ⎪⎝⎭，直线π9x =和点5π,018⎛⎫⎪⎝⎭是()f x 的一组相邻的称轴和对称中心，且()f x 在区间ππ,63⎛⎫⎪⎝⎭上单调递减，则ϕ= ．14．函数()f x 及其导函数()f x '的定义域均为R ，()()2f x f x x −=+，且()()1T x f x ='+为奇函数，()2512n f n ='=∑ ．四、解答题15．锐角ABC V 的内角,,A B C 所对的边分别为,,a b c ，若2cos 2b a B c +=，且a =3b =. (1)求边c 的值；(2)求内角A 的角平分线AD 的长．16．已知函数()2ππsin sin 12cos 442x f x x x x ⎛⎫⎛⎫⎛⎫=−+−− ⎪ ⎪ ⎪⎝⎭⎝⎭⎝⎭．(1)若123x f ⎛⎫= ⎪⎝⎭，求πsin 26x ⎛⎫− ⎪⎝⎭的值；(2)若先将()f x 的图象上每个点的横坐标变为原来12倍，再将函数图象向右平移π4个单位，将函数图象上每个点的纵坐标变为原来的2数()g x 图象，求()g x 在ππ,86x ⎛⎫∈− ⎪⎝⎭上的值域和单调递减区间．17．某工厂生产某款电池，在满电状态下能够持续放电时间不低于10小时的为合格品，工程师选择某台生产电池的机器进行参数调试，在调试前后，分别在其产品中随机抽取样本数据进行统计，制作了如下的22⨯列联表：(1)根据表中数据，依据0.01α=的独立性检验，能否认为参数调试与产品质量有关联； (2)现从调试前的样本中按合格和不合格，用分层随机抽样法抽取8件产品重新做参数调试，再从这8件产品中随机抽取3件做对比分析，记抽取的3件中合格的件数为X ，求X 的分布列和数学期望；(3)用样本分布的频率估计总体分布的概率，若现在随机抽取调试后的产品1000件，记其中合格的件数为Y ，求使事件“Y k =”的概率最大时k 的取值.参考公式及数据：()()()()22()n ad bc a b c d a c b d χ−=++++，其中n a b c d =+++.18．在平面直角坐标系中，若点(),T x y 绕着原点O 逆时针旋转θ角后得到点(),T x y '''，则cos sin x x y θθ=−'，sin cos y x y θθ=+'．已知曲线1C 绕原点顺时针旋转π4后得到曲线2C ：2xy =．(1)求曲线1C 的方程；(2)已知1F ，2F 分别是曲线1C 的上、下焦点，M ，N 是曲线1C 上两动点且它们分布在y 轴同侧、x 轴异侧，12MF NF ∥，若1212MF NF MF NF λ+=⋅，求实数λ的值；(3)在（2）问中，若2MF 与1NF 的交点为P ，则是否存在两个定点1T ，2T ，使得12PT PT +为定值？若存在，求1T ，2T 的坐标；若不存在，请说明理由．19．已知曲线()2e cos mxf x x mx =⋅+（m ∈R ，e 为自然对数的底数）在0x =处的切线的倾斜角为π4，函数()2sin 1g x x x =++．(1)若函数()()2x f x x ϕ=−在区间[],t t −上单调递增，求实数t 的最大值；(2)证明：函数()f x 的图象与函数()g x 的图象在[]0,5πx ∈内有5个不同的交点； (3)记（2）中的5个交点分别为A ，B ，C ，D ，E ，横坐标依次为0x ，1x ，2x ，3x ，4x （01234x x x x x <<<<），求证：01324x x x x x +−>−．。

重庆市名校联盟2023－2024学年度高2024届全真模拟考试化学试题【命题学校： 命题人： 审题人： 】 （本试卷共8页，总分100分，考试时间75分钟）注意事项：1．答题前，务必将自己的姓名、准考证号填写在答题卡规定的位置上。

2．答第1至14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，再选涂其他答案标号。

3．答第15至18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。

可能用到的相对原子质量：C ：12 N ：14 O ：16 Si ：28 S ：32 Cu ：64 Zn ：65 Zr ：91一、选择题（本大题共14小题，每小题3分，共42分。

每小题只有一个选项符合题目要求）1．化学与生活、生产、科技等密切相关，下列说法不正确的是（ ） A ．食品袋中盛有生石灰的透气小袋，可防止食物受潮B ．高强度X 射线衍射实验能深度解析复杂晶体结构的晶胞参数C ．冬奥会运动员“战袍”内层用于保暖的石墨烯片与金刚石互为同分异构体aD ．火焰喷雾技术制备的纳米材料在高温喷雾中形成的胶体属于气溶胶 2．下列有关离子方程式书写正确的是（ ）A ．酚酞滴入醋酸钠溶液中变为浅红色：323CH COO H OCH COOH OH --++B ．锌锰碱性干电池的负极反应：()2Zn 2e 2OH Zn OH ---+C ．向碳酸钠饱和溶液中通入足量的二氧化碳：23223CO H O+CO 2HCO --+ D ．氢氧化钙溶液与氢氟酸混合的离子方程式：2222OH Ca 2H 2F CaF 2H O -++++++↓+3．下列化学用语或图示表达正确的是（ ）A ．基态Cr 原子的价层电子轨道表示式为B ．HClO 的电子式为C ．()3232CH CH CH CH 的名称为2－乙基丁烷D ．3NH 分子的VSEPR 模型为4．A N 为阿伏加德罗常数，下列叙述正确的是（ ）A ．密闭容器中0.2molNO 与0.1mol 2O 充分反应，产物的分子数为0.2A NB ．100ml12mol/L 盐酸与足量2MnO 热，转移的电子数为0.6A NC ．0.1mol 熔融的4KHSO 中含有的离子数为0.2A ND ．12g 石墨晶体中含有的C －C 键的数目为2A N 5．下列实验操作正确且能达到实验目的的是（ ）A ．用甲装置判断Fe 和Cu 金属的活泼性B ．用乙装置制取少量2HC ．用丙装置除去NaCl 固体中的4NH ClD ．用丁装置鉴别3NaHCO 溶液和23Na CO 溶液6．一种2－甲基色酮内酯（Y ）可通过下列反应合成，下列说法正确的是（ ）A ．X 分子中碳原子的杂化类型都相同B ．Y 分子中所有碳原子均可能处于同平面C ．X 、Y 均可发生消去反应D ．1molY 与NaOH 反应最多消耗2molNaOH7．软包电池的关键组件结构如图所示。

湖北名校联盟2025届第二次高三联合测评政治试题一、选择题：本题共16小题，每小题3分，共48分。

在每小题给出的四个选项中，只有一项是符合题目要求的。

1．《共产党宣言》指出：“阶级斗争越发展和越具有确定的形式，这种超乎阶级斗争的幻想，这种反对阶级斗争的幻想，就越失去任何实践意义和任何理论根据。

”这种超乎阶级斗争的幻想（）①不具有科学性，因而也不具有现实意义②不是对当时社会阶级矛盾的反映③为科学社会主义的产生提供了思想来源④主张通过阶级调和实现社会变革A．①②B．①③C．②④D．③④2．党的二十届三中全会通过的《中共中央关于进一步全面深化改革、推进中国式现代化的决定》要求，完善城乡融合发展体制机制，统筹新型城镇化和乡村全面振兴，完善强农惠农富农支持制度，坚持农业农村优先发展，全面推进乡村振兴。

下列做法符合上述要求的是（）①持续完善农村“三权分置”改革，引导土地所有权有序流转②多举措吸引人才返乡创业就业，形成返乡创业政策保障体系③探索建立农民宅基地的长期租赁制度，增加农民转移性收入④推进城乡基本公共服务均等化，消除城乡融合发展体制机制障碍A．①③B．①④C．②③D．②④3．制度型开放是相对于商品和要素流动型开放而言的，其核心是主动对标和对接国际先进的市场规则、规制和制度，形成与国际贸易和投资通行规则相衔接的基本制度体系和监管模式。

以下属于通过制度型开放助推中国经济高质量发展的传导路径正确的是（）①加强中国法域外适用法律体系建设→防范对外投资风险→保护我国企业合法利益②健全知识产权司法保护制度→优化国际化营商环境→扩大国内外投资和技术合作③扩大高新技术产品出口→畅通国内国际双循环→充分利用两种资源、两个市场④实施数字贸易“负面清单”制度→增强国际规则制定话语权→构建国际经济新秩序A．①②B．①③C．②④D．③④4．产业贡献率是指三大产业增加值增量与GDP增量之比。

下表显示了我国三大产业对GDP的贡献率。