2023-2024学年广东省珠海市广东实验中学金湾学校高一上学期10月月考物理试题

2024-2025学年广东省珠海一中高一（上）第一次段考数学试卷（10月份）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.已知集合M={x|1<x<2}，N={x|x<3}，则M∩N=( )A. {x|x<2}B. {x|x<3}C. {x|1<x<2}D. {x|1<x<3}2.若a∈{1,2,a2}，则a的取值集合为( )A. {0}B. {0,1}C. {0,2}D. {0,1,2}3.已知集合A满足{0,1}∪A={0,1,2,3}，则集合A的个数为( )A. 1B. 2C. 3D. 44.若命题“∃x0∈R,x20+2mx0+m+2≤0”为真命题，则m的取值范围是( )A. (−∞,−1)∪(2,+∞)B. (−∞,−1]∪[2,+∞)C. (−1,2)D. [−1,2]5.若ab>0，且a<b，则下列不等式一定成立的是( )A. a2<b2B. 1a <1bC. ba+ab>2 D. a+b2>ab6.已知函数f(x)=1ax2+bx+c的部分图象如图所示，则a+b−c=( )A. −3B. −6C. 13D. 17.已知a，b，c∈R，使a>b成立的一个充分不必要条件是( )A. a+c>b+cB. ac>bcC. a2>b2D. ac2>bc28.已知a>0，b>0，且1a +2b=1，则2a−1+1b−2的最小值为( )A. 2B. 2C. 322D. 1+324二、多选题：本题共3小题，共18分。

在每小题给出的选项中，有多项符合题目要求。

9.命题p：∃x∈R，x2+bx+1≤0的否定是真命题，则实数b的值可能是( )A. −74B. −32C. 2D. 5210.若正实数x，y满足2x+y=1，则下列说法正确的是( )A. xy有最大值为18B. 1x+4y有最小值为6+42C. 4x2+y2有最小值为12D. x(y+1)有最大值为1211.已知b>0，若对任意的x∈(0,+∞)，不等式ax3+3x2−abx−3b≤0恒成立，则( )A. a<0B. a2b=3C. a2+4b的最小值为12D. a2+ab+3a+b的最小值为6−63三、填空题：本题共3小题，每小题5分，共15分。

广东省珠海市实验中学高中部2024学年高一数学理月考试卷专业课理论基础部分一、选择题：1.下列函数中，奇函数是（）A. y=x^3B. y=x^2C. y=-xD. y=|x|2.已知函数f(x)=x^2-4x+c，若该函数的图象对称轴为x=2，则实数c 的值为（）3.若a、b为实数，且a<0，b>0，则下列不等式正确的是（）A. a2<b2B. ab>0C. a+b<0D. a-b<04.下列等式中，正确的是（）A. (a+b)2=a2+b^2B. (a-b)2=a2-b^2C. (a+b)(a-b)=a2-b2D. (a+b)(a-b)=a2+b25.已知函数f(x)=2x+3，若该函数的图象向上平移2个单位，则平移后的函数解析式为（）A. y=2x+5B. y=2x+1C. y=2x-1D. y=2x-5二、判断题：1.若两个函数的图象关于y轴对称，则这两个函数一定相等。

（）2.函数的导数表示函数的斜率，当导数为0时，函数取极值。

（）3.若一个函数在定义域内单调递增，则在定义域内任意两点，函数值之差等于自变量之差。

（）4.两个平行线的斜率相等。

（）5.若两个向量垂直，则它们的点积为0。

（）三、填空题：1.若函数f(x)=2x+3是一次函数，则其斜率为____。

2.函数y=x^2的导数为____。

3.若向量a=(2,3)，则向量a的模为____。

答案：√134.若两个向量垂直，则它们的点积为____。

5.若矩阵A=，则矩阵A的行列式为____。

四、简答题：1.请简要说明什么是导数，并给出其计算公式。

答案：导数表示函数在某一点的瞬时变化率，计算公式为f’(x)=lim(h->0)[f(x+h)-f(x)]/h。

2.请简要说明如何求一个分段函数的导数。

答案：对于分段函数，需要分别求每一段的导数，并在分段点处判断导数的连续性。

3.请简要说明什么是向量的点积，并给出其计算公式。

广东省珠海市广东实验中学金湾学校2023-2024学年高一上学期10月考试英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．___________animals___________ plants can live without water.A．Neither, nor B．Both, and C．Either, or D．Not, but E．Either, not2．I couldn’t___________ the rent on my own; I want to find someone to share the apartment.A．aim B．allow C．afraid D．advise E．afford 3．Not knowing whether he’s dead or___________ is a terrible feeling.A．live B．alone C．alive D．lively E．lonely 4．I don’t mind going there on foot. ________, the walk will do me good.A．Beside B．Besides C．However D．Because E．But 5．After a quarrel, Bill did everything he could___________ to me.A．avoid talking B．to avoid talk C．avoid to talk D．to avoid to talk E．to avoid talking6．These___________ took many___________ here.A．Germen, photo B．Germen, photos C．Germans, photos D．Germany, photos E．Germany, photo7．Mr Smith is too busy___________ your telephone. Please wait a moment.A．answering B．with answering C．answered D．to answer E．answer 8．A billion people in the world will not have___________ to clean drinking water.A．action B．advance C．access D．agreement E．advice 9．The flight was already fully___________. No more seats were available.A．booked B．borrowed C．canceled D．calculated E．arranged 10．I knocked at the door but nobody___________.A．replied B．apologized C．answered D．argued E．asked 11．Mary wants to make a good first___________ on her first day of senior high school.A．partner B．experiment C．impression D．strategy E．style 12．We will meet Max who is a(n)___________student from the UK at he airport tomorrow afternoon.A．frightened B．female C．formal D．exchange E．annoyed 13．There’s a lot for the new students___________ on campus.A．to explore B．to revise C．to company D．to design E．to debate 14．The guy next to me tried to talk to me the whole time, so I couldn’t___________ on the experiment.A．impress B．concentrate C．annoy D．explore E．company 15．At the beginning of the term, I’m___________ because I haven’t learning goals and plans for my study.A．confident B．excited C．curious D．anxious E．pleasedA．状语B．补语C．表语D．定语E．宾语A．表语B．主语C．宾语D．状语E．定语A．宾语B．补语C．主语D．表语E．定语19．Which part is the OBJECT of the following sentence “He stayed at home the whole day.”?A．“He”B．“stayed”C．“home”D．“the whole day”E．“day”20．Which part is the VERB of the following sentence “The earth is a beautiful place.”?A．“earth”B．“is”C．“beautiful”D．“place”E．“the”二、阅读理解Scotland is packed with beautiful places to visit and you could honestly spend months and months exploring everything this wonderful country has to offer! Next I’m going to take you through some of the best places to visit in Scotland, based on where we have personally visited so far!Glen CoeIf you asked me where my favourite place to visit in all of Scotland is… I would say, Glen Coe. The whole area of Glen Coe constantly had my face in shock due to the beauty that I was witnessing. It’s just a stream of dramatic mountains, lakes, rugged beauty and more.Fort WilliamFort William is probably one of the most well-known places to visit in Scotland. It’s apopular tourist destination thanks to being home to the UK’s tallest mountain: Ben Nevis. Fort William is also the starting point for one of the world’s most famous train rides: The Jacobite. Harry Potter fans will recognize it as the Hogwarts Express, and this train ride will take you through the beautiful countryside, crossing some iconic Harry Potter filming locations such as the Dumbledore’s Grave and the Glenfinnan Viaduct!Isle Of SkyeThis island feels totally different from other parts of Scotland and is truly rugged and ready! There are many hot spots to explore including the Old Man of Storr, the Fairy Glen. I even stayed on a private island with its very own lighthouse, which was one of the coolest places I’ve ever visited and one of the most romantic places to stay in Scotland.Cairngorms National ParkThis is the largest national park in the UK so it’s another popular place to visit in Scotland and it’s no surprise why. It’s absolutely beautiful and there’s so much happening at the Cairngorms National Park! From skiing or meeting local reindeers, you’ll not go bored and you’ll be surrounded by beauty the entire time.21．Which place probably attracts Harry Potter fans most?A．Glen Coe.B．Isle Of Skye.C．Cairngorms National Park.D．Fort William.22．What can you see in Cairngorms National Park?A．The Jacobite.B．Local reindeers.C．The UK’s tallest mountain.D．A cool lighthouse.23．Where is the text probably from?A．A geography textbook.B．A science journal.C．A travel blog.D．An autobiography.One morning, Ann's neighbor Tracy found a lost dog wandering around the local elementary school. She asked Ann if she could keep an eye on the dog. Ann said that she could watch it only for the day.Tracy took photos of the dog and printed off 400 FOUND fliers (传单), and put them in mailboxes. Meanwhile, Ann went to the dollar store and bought some pet supplies, warning her two sons not to fall in love with the dog. At the time, Ann's son Thomas was 10 years old, and Jack, who was recovering from a heart operation, was 21 years old.Four days later Ann was still looking after the dog, whom they had started to call Riley. When she arrived home from work, the dog threw itself against the screen door and barked madly at her. As soon as she opened the door, Riley dashed into the boys' room where Ann found Jack suffering from a heart attack. Riley ran over to Jack, but as soon as Ann bent over to help him the dog went silent.“If it hadn't come to get me, the doctor said Jack would have died，” Ann reported to a local newspaper. At this point, no one had called to claim the dog, so Ann decided to keep it.The next morning Tracy got a call. A man named Peter recognized his lost dog and called the number on the flier. Tracy started crying, and told him, “That dog saved my friend's son.”Peter drove to Ann's house to pick up his dog, and saw Thomas and Jack crying in the window. After a few moments Peter said, “Maybe Odie was supposed to find you, maybe you should keep it.”24．What did Tracy do after finding the dog?A．She looked for its owner.B．She gave it to Ann as a gift.C．She sold it to the dollar store.D．She bought some food for it. 25．How did the dog help save Jack?A．By breaking the door for Ann.B．By leading Ann to Jack's room.C．By dragging Jack out of the room.D．By attending Jack when Ann was out. 26．What was Ann's attitude to the dog according to Paragraph 4?A．Sympathetic.B．Doubtful.C．Tolerant.D．Grateful. 27．What can we infer about the dog from the last paragraph?A．It would be given to Odie.B．It would be kept by Ann's family.C．It would be returned to Peter.D．It would be taken away by Tracy.If you're reading this, you were probably born in the 2000s. The oh-ohs(00后）．The 21st century. That would make you young,creative, connected, global,and no doubt smart. Maybe good-looking,too. Right? But what do other people think about your generation?Some adults worry that you're more interested in the screen in front of you than the world around you. They think of you as the“face-down generation” because you use your phone so much and they wonder how you will deal with school, friends,and family. Are today's teenagers too busy texting and taking selfies(自拍）to become successful in reallife-or“IRL”，as you would say?Other adults worry that today's youth are spoilt(宠坏的）and don't want to face the challenges of adult life. Many children born in the 1990s and 2000s were raised by"helicopter parents” who were always there to guide and help them with a busy schedule filled with homework and extra-curricular activities such as dancing, drawing, or sports. With partners who do everything for them, today's youth seem to prefer to live like teenagers even when they are in their 20s or 30s.Does the face-down generation need a heads-up?Well,probably not. The fact is that many of today's teenagers are better educated and more creative than past generations. They also seem to be enthusiastic(热情的）and willing to become leaders. More young people than ever volunteer to help their communities. There are also brave young people such as Malala Yousafzai,the teenager who won the 2014 Nobel Peace Prize for pushing girls' rights to go to school.So if you're one of the oh-ohs,there's reason to be hopeful about the future. Things are looking up for the face-down generation. Chances are that you will do GR8(great) and LOL （laugh out loud).28．Today's teenagers are thought of as the face-down generation becauseA．They are busy textingB．They use their phones a lotC．They deal with school and family with their phonesD．They become successful with their phones29．What does"helicopter parents" mean in Paragraph 3?A．Parents who prefer to live like teenagersB．Parents who often fly everywhere for their businessC．Parents who do dancing, drawing or sports with their childrenD．Parents who always guide and help children with homework and extra-curricular activities30．What does the writer think about the face-down generation?A．They are annoyed.B．They are powerful.C．They are spoilt.D．They are positive.31．What's the best title of this passage?A．The face-down generationB．The young generationC．The generation gapD．The future generation三、七选五Lifelong learning is the idea that learning keeps going through our daily experiences throughout our lives. It can be quite useful to us. However, to form a habit of lifelong learning is not easy. We need to train our brain to develop lifelong learning. 32Create an aim for your learning.33 But having an aim in mind truly does help a lot. For example, maybe your aim is to reduce your stress levels or find different ways to relax. Having an aim not only makes the learning beneficial but gives it a purpose.34If lifelong learning has not been your “thing” trying to eat this learning elephant in one bite makes it more difficult to stick with it. 35 For example, instead of struggling to read 100 pages in a book very day, why not start with 15 minutes, two or three time a week? After you have made that small habit into place, you can then add to it.Make it fun.If learning is a chore or becomes a chore, the act of doing it obviously decreases. 36 For example, for every new learning opportunity you take, give yourself some reward. Give yourself a gold star. Make learning a game. Whatever is going to make learning fun for you, make sure that you experience the fun!A．Start small.B．Stick with it!C．That may sound funny.D．That must to meaningful.E．Have some fun with your learning.F．Here are some simple ways to help you.G．Breaking down the learning into bite-sized pieces helps.四、完形填空pounds overweight.One day he sat near me in gym class. Someone 39 him and he fell on me and banged my foot badly. With the whole class watching, I was put on the spot to either shrug it off (耸耸肩) or 40 a fight with Matt.I shouted, “Matt, let’s fight!” Peer pressure forced him into the 41 whether he liked it or not. With one punch (一拳) I 42 his nose and the class went wild.Just then the gym teacher walked into the room. He saw that we were 43 and sent us out to the running track. He said, “I want you two guys to go out there and run that mile holding each other’s hands.” The room broke into laughter. Matt and I were 44 beyond belief, but we 45 went out to the track and ran our mile-hand in hand.During the course of our run, I remember looking over at him, with blood still on his face and his 46 slowing him down. It suddenly 47 me that here was a person, not so 48 from myself. We both looked at each other and began to 49 . In time we became 50 .For the rest of my life, I have never raised a 51 against another person. 37．A．fortunately B．normally C．definitely D．potentially 38．A．arguing with B．turning to C．laughing at D．communicating with39．A．pushed B．caught C．ignored D．misunderstood 40．A．stop B．pick C．continue D．watch 41．A．battle B．argument C．danger D．adventure 42．A．pressed B．bloodied C．missed D．touched 43．A．chatting B．training C．fighting D．struggling 44．A．excited B．worried C．puzzled D．embarrassed 45．A．still B．even C．instead D．never 46．A．height B．weight C．mind D．tension 47．A．informed B．warned C．concerned D．reminded48．A．equal B．unique C．different D．shallow 49．A．complain B．recover C．focus D．laugh 50．A．friends B．enemies C．adults D．seniors 51．A．question B．hand C．target D．doubt五、用单词的适当形式完成短文六、根据所给汉语提示填空提示单词拼写)七、根据汉语意思填写单词单词拼写)64．Many exchange students (较喜欢) to experience traditional Chinese food when they were in Beijing. (根据汉语提示单词拼写)65．He (意识到) that many people were curious about his lifestyle. (根据汉语提示单词拼写)66．Sadly, pandas are considered an (濒临灭绝的) species among the lovely animals. (根据汉语提示单词拼写)67．The student found the (讲座) hard to follow because it had started when she arrived. (根据汉语提示单词拼写)68．Whether to carry on with the experiment is under (辩论). (根据汉语提示单词拼写)69．This lecture is so difficult that it is not (合适的) for the beginners. (根据汉语提示单词拼写)70．The little Prince tells the (冒险) stories of a little boy who leaves his home on a tiny planet. (根据汉语提示单词拼写)71．I am writing to ask you for some advice on how to (提高) my written English. (根据汉语提示单词拼写)八、开放性作文72．假定你是高中生李华，刚加入了学校的English Club。

2023~2024学年第一学期高三四校联考（二）物理命题学校：珠海市实验中学命题人：梁超均审题人：庞莉满分：100分考试时间：75分钟说明：本试题共4页，15小题，满分100分，考试用时75分钟。

注意事项：1. 答卷前，考生务必用黑色字迹的钢笔或签字笔将自己的姓名和考生号、试室号、座位号填写在答题卡上。

用2B铅笔将试卷类型（A）填涂在答题卡相应位置上。

2. 选择题每小题选出答案后，用2B铅笔把答题卡上对应题目选项的答案信息点涂黑。

如需改动，用橡皮擦干净后，再选涂其他答案，答案不能答在试卷上。

第Ⅰ卷（选择题，共46分）一、单项选择题（共有7小题，每小题4分，共28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. 下列说法中，正确的是（）A. 能直接测量国际单位制中基本物理量的仪器是天平、秒表和弹簧测力计B. 牛顿三大定律都是实验定律，均可通过实验来验证C. 牛顿提出万有引力定律，并测定引力常量G的值D. 伽利略用斜面“冲淡”重力来研究自由落体运动的规律2. 如图所示，滑翔伞是一批热爱跳伞、滑翔翼的飞行人员发明的一种飞行器。

现有一滑翔伞沿直线朝斜向下方向做匀加速直线运动。

若空气对滑翔伞和飞行人员的作用力为F，则此过程中F的方向可能是（）A. B. C. D.3. 航展飞行表演中的精彩镜头，喷出的烟雾将飞机的运动轨迹显现出来，如图所示，关于这些飞机的运动，以下说法正确的是（）A. 飞机可能做匀变速曲线运动B. 飞机所受合外力沿飞机运动方向C. 飞机所受合外力一定是变力D. 飞机的运动速度不变4. 如图甲所示，是设置有七个卡位用来调节角度的笔记本电脑散热底座。

王老师将电脑放在散热底座上，为了获得更好的舒适度，由原卡位1调至卡位4，即如图乙所示由虚线位置调整至实线位置，电脑始终处于静止状态，则（）A. 支撑面板对电脑的支持力变大B. 防滑挡板对电脑的支持力变大C. 散热底座对电脑的作用力变大D. 电脑受到支撑面板的支持力与防滑挡板的支持力大小之和等于其重力大小5. 如图所示为运动员跳高时的精彩瞬间，下列说法正确的是（）A. 运动员起跳时地面对他的支持力大于他对地面的压力B.C. 运动员在最高点处于平衡状态D. 运动员在下降过程中处于超重状态6. 如图所示，水平恒力F推着平板小车和货物在水平地面一起做匀加速直线运动，小车和货物的质量分别为M和m，货物与小车间的动摩擦因数为µ，最大静摩擦与滑动摩擦相等。

广东省实验中学珠海金湾学校2023-2024学年高一下学期3月月考数学试题一、单选题1．sin 20cos10sin10sin 70︒︒+︒︒的值是（ ）A ．14B C ．12D 2．sincos1212ππ=（ ）A ．14B ．12C D 3．已知角()0,πα∈，且1cos 23α=，则sin α的值为（ ）A B C ． D ．4．为了得到函数()πsin 23f x x ⎛⎫=- ⎪⎝⎭的图象，只需将函数()sin2g x x =的图象( )A ．向左平移π3个单位长度B ．向右平移π3个单位长度C ．向左平移π6个单位长度D ．向右平移π6个单位长度5．已知将函数()cos4f x x =的图象向右平移(0)ϕϕ>个单位长度后关于原点对称，则ϕ的值可能为（ ） A ．π2B ．3π4 C ．π8D ．π46．关于向量a r ，b r，下列命题中，正确的是（ ）A ．若a b =r r ，则a b =r rB ．若a b =-r r，则a b r r ∥ C ．若a b >r r ，则a b >r rD ．若a b r r ∥，b c r r ∥，则a c r r ∥7．如图所示的ABC V 中，点D 是线段BC 上靠近B 的三等分点，点E 是线段AB 的中点，则DE =u u u r（ ）A ．1136AB AC --u u ur u u u rB ．1163AB AC --u u ur u u u rC ．5163AB AC --u u ur u u u rD ．5163AB AC -+u u ur u u u r 8．已知函数()πsin 216f x x ⎛⎫=++ ⎪⎝⎭，则下列结论成立的是（ ）A ．()f x 的最小正周期为2πB ．()f x 的图象关于直线π6x =对称 C ．()f x 的最小值与最大值之和为0D ．()f x 在ππ,22⎛⎫- ⎪⎝⎭上单调递增二、多选题9．下列三角式中，值为1的是（ ） A ．4sin15cos15︒︒ B ．222cos sin 66ππ⎛⎫- ⎪⎝⎭ C ．22tan 22.51tan 22.5-︒︒D10．（多选）下列命题正确的是（ ）A ．若,a b r r 都是单位向量，则a b =r r.B ．“a b =r r ”是“a b =r r ”的必要不充分条件C ．若,a b r r 都为非零向量，则使||aa r r ＋||b b r r ＝0r 成立的条件是a r 与b r 反向共线D ．若,a b b c ==r r r r ，则a c =r r11．主动降噪耳机让我们在嘈杂的环境中享受一丝宁静，它的工作原理是：先通过微型麦克风采集周围的噪声，然后降噪芯片生成与振幅相同的反相位声波来抵消噪声，已知某噪声的声波曲线()2ππ2sin 32f x x ϕϕ⎛⎫⎛⎫=+<⎪⎪⎝⎭⎝⎭，且经过点()1,2，则下列说法正确的是（ ） A ．函数14f x ⎛⎫+ ⎪⎝⎭是奇函数B ．函数()f x 在区间()1,2上单调递减C ．*n ∃∈N ，使得()()()()1232f f f f n +++⋯+>D ．x ∀∈R ，存在常数m 使得()()()123f x f x f x m +++++=三、填空题12．函数sin 2y x =的最小正周期是．13．函数()()[)sin (0,0,2π)f x x ωϕωϕ=+>∈的部分图象如图所示，则()2023f =.14．函数()ππ2sin(4)sin(4)36f x x x =++-的最大值为.四、解答题15．已知角α是第二象限角，sin α=(1)求cos α和πsin 4α⎛⎫+ ⎪⎝⎭的值；(2)求tan 2α的值.16．已知函数21()cos cos 2f x x x x =-+，x ∈R ．(1)求函数()f x 的单调递增区间；(2)将函数()f x 的图象上所有点的纵坐标不变，横坐标伸长为原来的2倍，得到()y g x =的图象，求()g x 在区间π5π,36⎡⎤⎢⎥⎣⎦上的值域．17．设,a b rr 是不共线的两个非零向量．(1)若42,62,26OA a b OB a b OC a b =-=+=-u u u r u u u r u u u r r r r r r r，求证：,,A B C 三点共线；(2)若142a kb +r r 与12ka b +r r 共线，求实数k 的值．18．将图（1）所示的摩天轮抽象成图（2）所示的平面图形．已知摩天轮的半径为40米，其中心点O 距地面45米，摩天轮按逆时针方向匀速转动，每24分钟转一圈．摩天轮上一点P 距离地面的高度为h （单位：米），若P 从摩天轮的最低点处开始转动，则h 与转动时间t （单位：分钟）之间的关系为()[]()sin 0,0,π,πh A t k A ωϕωϕ=++>>∈-．(1)求A ，ω，ϕ，k 的值；(2)摩天轮转动8分钟后，求点P 距离地面的高度；(3)在摩天轮转动一圈内，求点P 距离地面的高度超过65米的时长．19．设n 次多项式()121210()0n n n n n n P t a t a t a t a t a a --=+++++≠L ，若其满足(cos )cos n P x nx =，则称这些多项式()n P t 为切比雪夫多项式．例如：由cos cos θθ=可得切比雪夫多项式1()P x x =，由2cos22cos 1θθ=-可得切比雪夫多项式22()21P x x =-．(1)若切比雪夫多项式323()P x ax bx cx d =+++，求实数a ，b ，c ，d 的值；(2)已知函数3()861f x x x =--在()1,1-上有3个不同的零点，分别记为123,,x x x ，证明：1230x x x ++=．。

2023—2024学年广东省珠海市广东实验中学金湾学校高一上学期10月月考数学试卷一、单选题1. 下列表述中正确的是A．B．C．D．2. 命题“，”的否定形式是（）A．，或B．，且C．，或D．，且3. 命题p：“”，命题q：“”，则p是q的（）A．充分不必要条件B．必要不充分条件C．充要条件D．既不充分又不必要条件4. 若y1＝3 x2－x＋1，y2＝2 x2＋x－1，则y1与y2的大小关系是（）A．y1<y2B．y1＝y2C．y1>y2D．随x值变化而变化5. 设,且,则的最小值为（）A．B．C．D．6. 设，，则的取值范围是（）A．B．C．D．7. 正确表示图中阴影部分的是（）A．B．C．D．8. 已知关于的不等式的解集为，则的最大值是（）A．B．C．D．二、多选题9. 下列命题为真命题的是（）A．，使得B．，都有C．已知集合，，则对于，都有D．，使得方程成立．10. 若，则下列不等式成立的是（）A．B．C．D．11. 给出下列四个结论，其中正确的有（）A．B．若，则C．集合是无限集D．集合的子集共有4个12. 已知实系数一元二次方程，下列结论正确的是（）A．是这个方程有实根的充要条件B．是这个方程有实根的充分条件C．是这个方程有实根的必要条件D．是这个方程没有实根的充要条件三、填空题13. 设集合，，则 ________ .四、双空题14. 已知一元二次方程的根是和2，则对应二次函数的零点是 ________ ，对应一元二次不等式的解集是 ________ .五、填空题15. 已知，，若，则的最大值是 ______ ．16. 已知是的充分条件，则实数的取值范围是 __________ .六、解答题17. 已知全集，集合，.(1)求；(2)求.18. 已知命题：存在，.(1)命题的否定为________；(2)若命题是真命题，则实数的取值范围.19. 回答下列问题(1)若，求的最小值.(2)已知关于的不等式的解集是或，求的解集.20. 当取什么值时，不等式对一切实数恒成立.21. 如图所示，某学校要在长为8 ，宽为6 的一块矩形地面上进行绿化，计划四周种花卉，花卉带的宽度相同，均为x，中间植草坪.（1）若中间草坪面积为矩形土地面积的一半，则花卉带的宽度x是多少？（2）为了美观，要求草坪的面积大于矩形土地面积的一半，则花卉带的宽度x 的取值范围是多少？22. 设矩形的周长为，把沿向折叠，折过去后交于点.设，求的最大面积及相应的值.。

2023-2024学年广东省珠海市广东实验中学珠海金湾学校高一上学期12月月考数学试题1.设集合，，，则（）A．B．C．D．2.“”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3.函数的定义域为（）A．B．C．D．4.下列四组函数中，表示同一个函数的一组是（）A．B．C．D．5.如图是函数的图象，则下列说法不正确的是（）A．B．的定义域为C．的值域为D．若，则或26.函数的零点所在的大致区间是（）A．B．C．D．7.已知，则的大小关系为（）A ．B ．C ．D ．8.已知函数是定义在上的偶函数，且在上单调递减，，则不等式的解集为（）A ．B ．C ．D ．9.（多选）有以下四个结论：①；②；③若，则；④．其中正确的是（）A ．①B ．②C ．③D ．④10.设，则下列不等式中正确的是（）A ．B ．C ．D ．11.记函数在区间上单调递减时实数的取值为集合A ，函数的值域为集合，则（）A ．B ．C ．D ．“”是“”的必要不充分条件12.已知函数，下列结论正确的是（）A ．若，则B ．C ．若，则或D ．若方程有两个不同的实数根，则13.命题“，”的否定为__________________________.14.________.15.已知函数，为常数），若，则__．16.形状、声音等现象可以分解成自复制的结构，即相同的形式会按比例逐渐缩小，并无限重复下去．如图所示，将图1的正三角形的各边都三等分，以每条边中间一段为边再向外做一个正三角形，去掉中间一段得到图2，称为“一次分形”，此时图2周长是图1周长的____倍；用同样的方法把图2中的每条线段重复上述操作，得到图3，称为“二次分形”；依次进行“次分形”，得到一个周长不小于初始三角形周长100倍的分形图，则最小值是_________．（参考数据：）图1图2图3图417.已知函数.(1)在所给的坐标系中作出的图象；(2)观察图象，求使方程的实数解个数为时，的取值范围.18.已知集合，.(1)当时，求；(2)若，且“”是“”的充分不必要条件，求实数的取值范围.19.已知函数是定义在上的偶函数，当时，.(1)求函数的解析式；(2)证明：函数在区间上单调递减.20.已知函数是奇函数.(1)求的值；(2)请写出函数的单调性（无需证明）；若对任意实数，不等式恒成立，求实数的取值范围.21.育人中学为了迎接建校70周年校庆，决定在学校艺术中心利用一侧原有墙体，建造一间墙高为米，底面积为平方米，且背面靠墙的长方体形状的荣誉室.由于荣誉室的后背靠墙，无需建造费用，甲工程队给出的报价为：荣誉室前面新建墙体的报价为每平方米元，左右两面新建墙体报价为每平方米元，屋顶和地面以及其他报价共计元.设荣誉室的左右两面墙的长度均为（米）.(1)将甲工程队的整体报价（元）表示为长度（米）的函数；(2)当（米）取何值时，甲工程队的整体报价最低？并求出最低整体报价；(3)现有乙工程队也要参与此荣誉室的建造竞标，其给出的整体报价为元，若无论左右两面墙的长度为多少米，乙工程队都能竞标成功（乙工程队的整体报价比甲工程队的整体报价更低），试求实数的取值范围.22.已知函数，记.(1)求函数的定义域；(2)判断函数的奇偶性，并说明理由；(3)是否存在实数，使得当时，的值域为？若存在，求出实数的取值范围；若不存在，则说明理由.。

2024届广东省珠海市实验中学高三十月月考数学试题试卷考生请注意：1．答题前请将考场、试室号、座位号、考生号、姓名写在试卷密封线内，不得在试卷上作任何标记。

2．第一部分选择题每小题选出答案后，需将答案写在试卷指定的括号内，第二部分非选择题答案写在试卷题目指定的位置上。

3．考生必须保证答题卡的整洁。

考试结束后，请将本试卷和答题卡一并交回。

一、选择题：本题共12小题，每小题5分，共60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．已知在平面直角坐标系xOy 中，圆1C ：()()2262x m y m -+--=与圆2C ：()()22121x y ++-=交于A ，B 两点，若OA OB =，则实数m 的值为（ ） A ．1B ．2C ．-1D ．-22．我国古代数学家秦九韶在《数书九章》中记述了“三斜求积术”，用现代式子表示即为：在ABC ∆中，角,,A B C 所对的边分别为,,a b c ，则ABC ∆的面积S =根据此公式，若()cos 3cos 0a B b c A ++=，且2222a b c --=，则ABC ∆的面积为（ ）AB ．CD ．3．已知实数0a b <<，则下列说法正确的是（ ） A ．c ca b> B ．22ac bc ＜ C ．lna lnb ＜D ．11()()22ab<4．已知m ∈R ，复数113z i =+，22z m i =+，且12z z ⋅为实数，则m =（ ） A ．23-B ．23C ．3D ．-35．5()(2)x y x y +-的展开式中33x y 的系数为( ) A ．－30 B ．－40 C ．40 D ．506．二项式22)nx的展开式中只有第六项的二项式系数最大，则展开式中的常数项是( ) A ．180B ．90C ．45D ．3607．10212x ⎛- ⎝的展开式中有理项有（ ） A ．3项B ．4项C ．5项D ．7项8．设0.380.3log 0.2,log 4,4a b c ===，则（ ）A ．c b a <<B ．a b c <<C ．a c b <<D ．b a c <<9．如图所示，用一边长为2的正方形硬纸，按各边中点垂直折起四个小三角形，做成一个蛋巢，将体积为43π的鸡蛋（视为球体）放入其中，蛋巢形状保持不变，则鸡蛋（球体）离蛋巢底面的最短距离为（ ）A ．212- B ．212+ C ．612- D ．312- 10．若直线不平行于平面，且，则（ ）A ．内所有直线与异面B ．内只存在有限条直线与共面C ．内存在唯一的直线与平行D ．内存在无数条直线与相交 11．为了得到函数sin 26y x π⎛⎫=- ⎪⎝⎭的图象，只需把函数sin 2y x =的图象上所有的点（ ） A ．向左平移6π个单位长度 B ．向右平移6π个单位长度 C ．向左平移12π个单位长度D ．向右平移12π个单位长度12．设i 是虚数单位，若复数5i2i()a a +∈+R 是纯虚数，则a 的值为（ ） A ．3-B ．3C ．1D ．1-二、填空题：本题共4小题，每小题5分，共20分。

金桂实验高级中学2024-2025学年度第一学期高一年级化学科第一次统测试题(全卷共5页，供3-16班使用)一、单项选择题(本大题共22小题，每小题3分，共66分)1.下列工艺过程中没有发生化学变化的是A.粮食酿酒B.蚕丝纺织C.瓷器烧制D.湿法炼铜2.将下列各组中的物质混合，混合前后溶液总质量不改变的是A.氯化镁溶液、氢氧化钡溶液 B.碳酸钠溶液、稀盐酸C.氧化铁和稀盐酸 D.氢氧化钠溶液和稀硫酸3.下列叙述正确的是A.向氢氧化钠溶液中边滴加饱和FeCl 3溶液边振荡制备Fe(OH)3胶体B.分散系中分散质粒子直径由小到大的正确顺序是：溶液<胶体<浊液C.胶体中加入电解质会发生聚沉的现象，证明胶体带电D.胶体区别于其他分散系的本质原因是胶体有丁达尔效应4.氨的催化氧化是工业制硝酸的基础：4NH 3+5O 24NO+6H 2O 。

下列关于该反应的说法正确的是A.NH 3作氧化剂B.O 2发生氧化反应C.反应过程中各元素的化合价都发生变化D.NH 3中N 元素被氧化5.在以下各种情形下，下列电离方程式书写正确的是A.水溶液中NaHSO 4的电离：NaHSO 4=Na ++H ++B.水溶液中H 2CO 3的电离：H 2CO 3=2H ++C.水溶液中NaHCO 3的电离：NaHCO 3=Na ++H ++D.水溶液中Fe 2(SO 4)3的电离：Fe 2(SO 4)3=3Fe 3++26.下列各组两种物质在溶液中的反应，可用同一离子方程式表示的是A.Cu(OH)2和盐酸；Cu(OH)2和CH 3COOH B.BaCl 2和Na 2SO 4；Ba(OH)2和CuSO 4C.NaHCO 3和NaHSO 4；Na 2CO 3和NaHSO 4D.NaOH 和HCl ；KOH 和HNO 37.关于物质的类别，下列说法正确的是A.食盐水、糖水和冰水都是饮料，属于混合物B.O 2不能导电，故O 2是非电解质C.SO 2属于氧化物、HCl 属于电解质D.NaHSO 4能电离出氢离子，故NaHSO 4属于酸8.下列不能用胶体的有关知识解释的是高温2-4SO 2-3CO 2-3CO 2-4SOA.在豆浆中加入盐卤做豆腐B.在河流入海处易形成沙洲C.往红褐色的氢氧化铁胶体中加入过量稀盐酸，溶液变黄色D.肾衰竭等疾病引起的血液中毒，可利用血液透析进行治疗9.“纳米材料”是粒子直径为1~100nm 的材料，纳米碳就是其中的一种，若将纳米碳均匀地分散到蒸馏水中，所形成的物质①是溶液；②是胶体；③能产生丁达尔效应；④能透过滤纸；⑤不能透过滤纸；⑥静置后，会析出黑色沉淀A.①④⑥B.②③④C.②③⑤D.①③④⑥10.下列变化需要加入还原剂的是A.Fe 2O 3→FeB.C→CO 2C.Na 2CO 3→CO 2D.Al→Al 2O 311.某国外化学教材中有一张关于氧化还原反应的插图，由图可知，在该反应中是A.还原剂B.氧化剂C.氧化产物D.还原产物12.根据离子方程式①2Fe 3++2I -=2Fe 2++I 2，②Br 2+2Fe 2+=2Br -+2Fe 3+，可判断离子的还原性从强到弱的顺序是A. Br -、Fe 2+、I - B. I -、Fe 2+、Br -C.Br -、I -、Fe 2+D.Fe 2+、I -、Br -13.能用离子方程式Ba 2++=BaSO 4↓表示的是A.氯化钡和硫酸钠溶液反应 B.碳酸钡和稀硫酸反应C.氢氧化钡和硫酸铝溶液反应 D.氢氧化钡和稀硫酸反应高温14.工业上冶炼钛的反应为TiCl 4+4Na Ti+4NaCl 。

2023-2024学年广东省珠海市广东实验中学金湾学校高一上学期10月考试地理试题2020年中国文昌航天发射场先后发射了“天问一号”火星探测器、“嫦娥五号”月球探测器等，经过23天，“嫦娥五号”已经成功返回地球，采集回来约2千克的月壤。

据此完成下面小题。

1. 下图为我国行星探测任务标识，“天问一号”的探测目标天体是（）A．a B．b C．c D．d2．“嫦娥五号”探测的宇宙空间是（）A．地月系B．太阳系C．银河系D．可观测宇宙3．火星和月球表面都有（）A．昼夜交替的现象B．适宜的温度条件C．适合生物的大气D．液态水的存在2020年5月28日，美国宇航局观测到太阳表面发生了一次剧烈的耀斑活动，这是自2017年10月以来太阳爆发的最强的耀斑，因此促进了太阳风的形成。

据此，完成下面小题。

4．太阳活动的一般标志是（）A．黑子B．耀斑C．日珥D．日冕物质抛射5．太阳大气各层发生的太阳活动及成因对应关系匹配正确的是（）A．光球一耀斑一该层能量激烈爆发B．色球一黑子一该层局部温度较低C．日冕一太阳风一带电粒子脱离太阳引力D．以上都正确进入宇宙6．此次太阳耀斑给地球带来的影响可能包括（）①影响航天探测活动②诱发多地发生地震③低纬地区出现极光④干扰电网运行A．①②B．②③C．③④D．①④下图是某地6月7日-6月12日每日19时月相观测记录示意图。

完成下面小题。

7．五月初八的月相是（）A．峨眉月B．上弦月C．满月D．下弦月8．该地再过一周左右将出现满月，当天19时满月出现的位置大致在（）A．东边地平线附近的天空B．南边头顶附近天空C．西边地平线附近天空D．北边头顶附近2012年，云南帽天山等地附近的“澄江动物化石群”被列入亚洲唯一的化石类世界自然遗产，这里发现了距今约5.2-5.41亿年大量动物化石。

该动物化石群中有大量海生藻类和海生无脊椎动物化石，如海绵动物、腔肠动物、腕足动物、环节动物和节肢动物等。

据此完成下面小题。