20XX山东日照普通高中录取率约60%

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Green's functions on finite lattices and their connection to the infinite lattice limit

upon
It should be taken into account that X and Y are deﬁned as above and that due to its symmetry property the modiﬁed Bessel function In (z ) should actually be written as I|n| (z ). In this form the action of translation operator on the series is more transparent. Then by splitting the series in two parts we ﬁnd from (2) that
Abstract
It is shown that the Green’s function on a ﬁnite lattice in arbitrary space dimension can be obtained from that of an inﬁnite lattice by means of translation operator. Explicit examples are given for one- and two-dimensional lattices.
(1)
m ∆x + 2π ; Qx = N N X, Y = 0, 1, ..., N − 1.
is the simplest one and, at the same time, contains the important ∆− parameters related to the symmetry of the wave function, as explained in earlier works [5, 6]. For simplicity we also conﬁne the energy parameter λ to the region outside the scattering states, λ ≥ 2. Let’s consider a simple generalization of the formula expressing (1) in terms of modiﬁed Bessel functions [6]

优翼学练优英语七年级下册第六单元范文

优翼学练优英语七年级下册第六单元范文全文共6篇示例，供读者参考篇1My Wonderful Summer VacationSummer vacation is the best time of year for kids like me. No school, no homework, just endless days of fun and freedom! This summer was particularly amazing. I had so many incredible experiences and made lots of wonderful memories. Let me tell you all about it!The vacation started off with a bang - my cousin David came to stay with us for a few weeks. David is a year older than me and comes from a big city, so I was really excited to have him visit our small town. We did all sorts of crazy things together that I could never do on my own.One day, we decided to go exploring in the forest near my house. David had read about building forts and treehouses online, so we gathered branches, twigs, rope and anything else we could find to construct our own miniature wilderness shelter. It took us nearly all day, but by evening we had a little log cabin hideaway to be proud of! We played make-believe games ofbeing stranded explorers or frontiersmen for the rest of the week.Another time, we got rained in after a thunderstorm. Instead of moping around bored, we used our imaginations to create a whole indoor carnival of fun! We made simple games with household items like bowling with plastic bottles, tossing balled-up socks through a hoop, and even staged a talent show where we did silly dances, jokes and magic tricks for my parents. It was hilarious and we laughed so hard my belly hurt.When David went home after two weeks, I was sad to see him go. But the fun was just getting started! My parents had planned a trip to the beach for our whole extended family. I couldn't wait - I just love the ocean. Building sandcastles, splashing in the waves, collecting seashells, eating ice cream on the boardwalk...the beach is every kid's dream!We rented a big house right on the beach and seventeen of us kids and adults all stayed there together. It was chaotic at times with that many people, but also a total blast. The days were filled with beach adventures - hunting for sand crabs, riding the banana boat, burying each other in the sand, and endless games of frisbee and beach ball. In the evenings, we'd have big family cookouts and then make s'mores around the backyard fire pit.One night, we even went on a moonlight beach walk to look for sea turtles nesting. A park ranger led our group and we got to watch actual baby turtles emerge from their nest and make their way across the sand to the ocean! It was an amazing sight to see these tiny creatures beginning their journey into the great wide world. The ranger said we were extremely lucky to witness it.All too soon, our beach week came to an end. I was so sad to leave but made a plastic bottle full of special sand, shells and memories to take home with me. The rest of summer still stretched out deliciously before me when we returned.I spent many lazy days simply playing outdoors - riding my bike along the trails, catching grasshoppers and butterflies, and climbing my favorite tree to read adventure novels. My best friend Luke and I also put on backyard circus shows, performing magic tricks and acrobatics routines we'd invent to put on for our families.As summer started winding down, our whole community celebrated with a big town fair andcarnival. There were rides, games, concerts, vendors selling fun snacks and knickknacks - everything a kid could want! Luke and I went three nights in a row. We rode the Tilt-a-Whirl until we were dizzy, ate way too much cotton candy and funnel cake, won cheap toys by tossingrings and playing cover-the-spot, and even entered the kid talent show (sadly, we didn't win). Those warm August nights puttering around the bustling fairgrounds are some of my most vivid summer memories that I'll always cherish.Before I knew it, summer was over and it was time to start back at school. Part of me was honestly happy to return to seeing my friends and teachers every day, even if it meant more structure and homework. But I'll forever look back on this summer as one of the most magical, adventure-packed seasons of my childhood. Between my cousin's visit, the beach vacation, and all the backyard exploring and fun with Luke, it was the kind of summer kids dream about. I made so many wonderful memories that I'll forever look back on fondly. I can't wait for篇2My Summer VacationThe school bell rang loudly, signaling the start of summer vacation. I rushed out of the classroom, excited to be free from homework and tests for a few months. My friends and I made plans to hang out at the park and play basketball together. The sunny days stretched out ahead of us, full of possibilities for fun and adventure.The first week went by lazily. I slept in late, played video games, and munched on snacks. By the second week, I was getting restless and bored. That's when my mom suggested I sign up for the summer reading program at the local library. At first, I wasn't too keen on the idea – who wants to read during their vacation? But she convinced me it would be fun and I could earn prizes.I reluctantly went to the library and joined the program. The librarian gave me a reading log to track the books I finished. She also told me about all the activities they had planned, like arts and crafts, movie days, and even a visit from a famous children's author! Suddenly, the reading program sounded a lot more appealing.I started checking out books from the library's shelves, working my way through different genres. I read funny stories that made me laugh out loud. I got swept away by tales of adventure and mystery. The reading log filled up quickly with titles. Before I knew it, I had read over 20 books!My favorite was a science fiction novel about kids who get transported to another planet through a malfunctioning computer game. I loved using my imagination to picture the strange aliens and futuristic technology described in the book. Icould hardly put it down because I had to know what happened next. When I finished, I felt proud of myself for reading such a thick book from cover to cover.The activities at the library were lots of fun too. One week, we made bookmarks decorated with sparkly gems and colorful tassels. Another time, we watched a movie version of a classic children's book. The author visit was definitely the highlight –she read excerpts from her latest book and gave us all autographed copies. I felt like a celebrity getting to meet her in person!As summer wore on, I spent more and more time at the library lost in the pages of books. My parents were happy because it kept me busy during the long days of vacation. I was always eager to discuss the plots and characters with the librarians too. Reading opened up new worlds for me that summer.Near the end of the program, the library held a big party to celebrate everybody's reading achievements. There were snacks, games, and a raffle to win prizes. I crossed my fingers hoping to win something good. When they called my name, I could hardly believe it – I had won the grand prize, a shopping spree at thelocal bookstore! I picked out a huge stack of books that I was really excited to read.Looking back, joining the summer reading program was one of the best decisions I made. Sure, I had a lot of fun hanging out with friends and playing outside too. But getting hooked on reading helped make the most of those lazy summer days. I can't wait until next year's program!篇3My Favorite Subject - EnglishEnglish is definitely my favorite subject in school. I know some kids dread having to learn a foreign language, but I really enjoy it. English just sounds so cool and awesome to me. All the words have these neat sounds that are different from Chinese. I love trying to wrap my tongue around new English vocabulary words.In this latest unit, we learned loads of great new English vocabulary related to sports and competitions. Words like "teammate", "opponent", "referee", and "spectator" were all new to me. My favorite new word is probably "champion" - it just sounds so powerful and impressive. I practiced saying "I am the champion!" over and over, even though I'm definitely not achampion at anything. Well, maybe I'm a champion at drinking bubble tea?We also learned about different sports in English like baseball, football, tennis, and more. I thought it was so interesting to learn the English names and words related to each sport. Like for baseball, you have words like "batter", "pitcher", "dugout", and "home run". Dugout is such a funny word! It reminds me of a little dog's outdoorhouse. Imagine a pitcher throwing a baseball to a little doghouse on the field!In the reading passages, we read all about famous sporting events and competitions like the World Cup, Wimbledon, and the Olympics. The World Cup is definitely the biggest sporting event I had heard of before, but I didn't know anything about Wimbledon. It's a huge tennis tournament in England. How cool is that? Getting to go to England and compete at Wimbledon would be a dream come true. I'm not much of a tennis player though. I'm more of a videogamer, if that counts as a sport?We also learned how to write about sports competitions and events in English. We had to describe the rules, equipment, scoring system, and more. I wrote my essay about basketball, since it's probably my favorite sport to watch, even though I'm not very tall. I made sure to include words like "dribble", "freethrow", and "slam dunk". Oh, and don't forget "referee" and "whistle"! The referee has to use their whistle to stop play when there are fouls or violations. It's a very physical and intense game!The best part about this unit was the fun activities and games we got to play. We played a bunch of rounds of English Charades, where you have to act out a word or phrase from the unit for your teammates to guess. I got "tennis racket" and ended up looking like I was hitting myself with an invisible racket. My team figured it out eventually though! We also had a great time with an English cup stacking competition. You had to race to stack and unstack some plastic cups following the right sequences and patterns, all while calling out the steps in English. It was chaos but so much fun!All in all, this sports unit was an absolute blast. I picked up so many useful vocabulary words and learned all about different sports competitions around the world. My English skills definitely leveled up! The activities and games made it so engaging and enjoyable too. Awesome units like this are why English is my favorite subject. I just love exploring new words and phrases. Hopefully I can use this new sports vocabulary next time I'mwatching or playing sports. Either way, I'm already excited for whatever awesome English unit comes next!篇4Certainly! Here's an essay of around 2,000 words in English, written from the perspective of a primary school student, which could serve as a model composition for Unit 6 of the "You Ying Xue Lian" (优翼学练优英语) textbook for Grade 7 (Lower Volume).Title: My School Life AdventuresHi there! My name is Emma, and I'm a 12-year-old student in the seventh grade. Today, I want to share with you some of the exciting adventures I've had in my school life so far. Get ready for a rollercoaster ride through the ups and downs, the joys and challenges, and everything in between!Let me start from the very beginning – my first day of primary school. I remember it like it was yesterday. I was a bundle of nerves, clutching my brand-new backpack and feeling a mix of excitement and apprehension. Would I make friends? Would the teachers be nice? Would I be able to keep up with the lessons? As I stepped into the classroom, my worries melted away. The teacher had the warmest smile, and the other kidsseemed just as eager and curious as I was. From that day on, I knew I was going to love my school life.As the years went by, each grade level brought new adventures and opportunities for growth. In second grade, I discovered my passion for reading. Our teacher would read us the most captivating stories during story time, and I could hardly wait for the next installment. I would lose myself in the magical worlds of the books, and my imagination would run wild. That's when I decided that one day, I wanted to become a writer and create my own stories to share with the world.In fourth grade, I joined the school's drama club. At first, I was terribly shy and could barely muster the courage to speak up in front of others. However, with the encouragement of my wonderful drama teacher and the support of my fellow club members, I gradually came out of my shell. I started to relish the thrill of stepping onto the stage and bringing characters to life. It was an incredible feeling, and it taught me the importance of perseverance and believing in myself.One of the most memorable adventures of my school life was the annual science fair in fifth grade. My best friend, Emily, and I decided to team up and conduct an experiment on the growth of plants under different light conditions. We spentweeks researching, setting up our experiment, and meticulously recording our observations. When the day of the fair arrived, we were bursting with excitement and pride as we presented our project to the judges and other students. Although we didn't win the top prize, the experience of working collaboratively on a scientific endeavor was truly rewarding.One of the highlights of my school life has been the incredible friendships I've formed along the way. Emily, who I mentioned earlier, has been my best friend since kindergarten. We've seen each other through thick and thin, sharing our dreams, fears, and secrets. We've also made new friends over the years, and our little circle has grown into a tight-knit group that supports and encourages one another.As I look towards the future, I can't help but feel a bittersweet mix of excitement and nostalgia. In just a year's time, I'll be stepping into the hallowed halls of middle school, embarking on a new chapter of my educational journey. While I can't wait to explore the new challenges and opportunities that await me, a part of me will always cherish the wonderful memories and lessons I've learned throughout my primary school years.Who knows what adventures lie ahead? Perhaps I'll join the school's debate team and hone my public speaking skills. Or maybe I'll discover a newfound passion for music or art. The possibilities are endless, and that's what makes school life so thrilling – it's a constant journey of self-discovery and growth.As I reflect on the past seven years, I'm filled with gratitude for the incredible experiences I've had and the people who have shaped me along the way. School life is so much more than just classrooms and textbooks; it's a vibrant tapestry woven with friendship, laughter, struggles, triumphs, and unforgettable moments that will forever be etched in my heart.So, here's to the adventures that lie ahead and the countless memories yet to be made. I can't wait to see what the future holds!篇5My Big DreamHi everyone! My name is Lucy and I'm 12 years old. I'm a student in 7th grade at a primary school here in China. Today I want to tell you all about my big dream for the future!In our English textbook this semester, we learned about Unit 6 which was all about jobs and careers. We read some really interesting texts about different professions like doctors, scientists, artists and more. We also practiced talking about our goals and ambitions.After studying this unit, I gave a lot of thought to what I might want to be when I grow up. At first, I couldn't quite decide because there are so many cool options! But after discussing it with my parents and teachers, I finally settled on my big dream career.I want to be an astronaut when I'm older!Ever since I was a little kid, I've been fascinated by space. I remember going to the science museum when I was around 5 years old and being completely captivated by the displays about planets, stars, and galaxies. Learning about how vast the universe is and all the mysteries it contains really sparked my imagination.As I got a bit older, I started watching lots of documentaries and reading books about space exploration. I was so inspired by the stories of brave astronauts like Neil Armstrong, Sally Ride, and Yang Liwei who traveled to space and made incredible discoveries. Just imagining what it would be like to float in zerogravity or gaze back at our beautiful planet Earth from orbit gives me chills!Now that I'm in 7th grade, my interest in space and my dream of becoming an astronaut have only grown stronger. I work really hard in my science and math classes because I know those subjects will be crucial if I want to have a career in aerospace one day. I've even joined the astronomy club at school so I can learn more about the night sky.But I'm determined to overcome any and all challenges! This is my true passion and calling in life. I'm going to study harder than anyone, exercise daily to build my strength and endurance, and develop all the skills I'll need like being a team player, staying calm under pressure, and having excellentproblem-solving abilities.Once I'm an astronaut, I can't wait for all the incredible experiences I'll get to have. Imaging blasting off into space aboard a powerful rocket! Looking down at our planet from the International Space Station and appreciating how beautiful and fragile it is. Maybe even one day setting foot on the surface of Mars or another planet or moon. That would be a childhood dream come true.I know some people might think going to space is too dangerous or not worthwhile. But in my opinion, space exploration is crucial for the future of humanity. By studying the cosmos, observing other worlds, and potentially finding evidence of extraterrestrial life, we could make groundbreaking scientific discoveries that change our understanding of the universe forever. space travel and research also drives innovation in so many different fields, from engineering and medicine to computer science and food production. Developingcutting-edge new technologies to survive the harsh environments of space leads to inventions that end up benefiting all of us on Earth too.So that's my big dream career - to become an astronaut and help advance space exploration and scientific knowledge! It's going to take many years of extremely hard work and dedication. But I'm ready for the challenge. The stars are calling, and I'm determined to answer. I'll never stop reaching for that goal until I've finally left my footprints somewhere other than Earth.Thank you for reading about my dream! I hope you were inspired and that you'll follow your own biggest ambitions too, no matter how lofty they may seem. With enough passion and perseverance, anything is possible. The sky is no longer the limit- not when the vast universe awaits us among the stars. Dare to dream big, work hard, and who knows what you could achieve!篇6My Wonderful Summer VacationSummer vacation is the best time of year! No more waking up super early, no more homework, and two whole months to do whatever I want. This summer was especially awesome because my family went on a big trip to Australia and New Zealand. We saw so many amazing sights and had the coolest adventures. Let me tell you all about it!Our first stop was Sydney, Australia. It's a huge, modern city right on the coast with an iconic opera house and harbor bridge. We took a tour of the Sydney Opera House and I got to go up into the sails on the roof for an incredible view of the city and harbor. The guides taught us all about the unique architecture and crazy construction of this famous landmark.Another highlight in Sydney was visiting the amazing Taronga Zoo. They had every type of animal you can imagine, from cuddly koala bears to huge elephants and giraffes. My favorite part was the closeup koala encounter where I got to feed a koala and take pictures while it clung to a tree branch rightnext to me. Those fuzzy little guys are just the cutest! We also saw wombats, Tasmanian devils, kangaroos, and other Aussie critters up close.After a few days of city sightseeing in Sydney, we drove down the coast to stay in a little beach town called Kiama. The coastal scenery was breathtaking, with dramatic cliffs, bright blue water, and miles of sandy beaches. We had an amazing Airbnb rental house right across from Kiama's famous blowhole, where waves crash into an underground cave and shoot a huge plume of water and spray way up into the air. It was incredible to watch!I also loved just relaxing on the beach, boogie boarding, and hunting for cool shells and rocks.Our next stop in Australia was Melbourne, which is a very cool, artsy, and multicultural city. We wandered around funky neighborhoods filled with street art, indie boutiques, and tons of amazing global restaurants and cafes. The highlight for me was getting to go on a road trip out to see the famous colorful bathing boxes along the beaches near Melbourne. These are these adorable little wooden changing sheds painted in every bright color you can imagine. They make the cutest photo backdrops ever!After a week exploring the cities and coasts of southeastern Australia, we hopped on a plane and flew to the other side of the Tasman Sea to New Zealand. Our first stop there was Queenstown, which is the adventure capital surrounded by gorgeous mountains and lakes. We went jet boating through narrow canyon rivers at crazy speeds, luged down a mountain on a gravitypowered sled/go-kart track, and took a ride across a canyon suspended from a tiny cable car. My heart was pounding from all the adrenaline but it was the biggest rush ever!One of my very favorite experiences from the whole trip was our day spent exploring the incredible Milford Sound fjord in New Zealand. We took a small boat cruise through the dramatic, towering cliffs rising straight up from the dark blue water. Our captainpointed out furry seals lounging on rocks and swooping birds. And when we drifted into theopen bay, we were completely surrounded by striking mountain peaks with powerful waterfalls streaming down from every ledge. The scenery looked almost fake, it was that surreal and beautiful. Like something from a storybook or movie.Our last few days in New Zealand were spent in the funky artistic hub of Wellington. We took a behind-the-scenes tour of the Weta Workshop, where they make props and costumes formovies like The Lord of the Rings. We got to see incredibly detailed models, creatures, armor, and weapons they handcrafted for all kinds of fantasy films. My brother was completely geeking out seeing the actual props from his favorite movies up close. I felt pretty cool getting a peek behind the special effects magic too!Everywhere we went in Australia and New Zealand, the locals were incredibly friendly and helpful. And the nature and landscapes were out of this world beautiful. We swam in oceans and lakes, hiked through forests and by waterfalls, dug our toes into sandy beaches, and just soaked in the incredible scenery nonstop.While it was incredible getting to experience so many awesome sights, my favorite part was honestly just getting that special uninterrupted family time. No school, work, or activities pulling us in different directions for two whole weeks. We were all totally present, exploring the world together, making amazing shared memories, and genuinely enjoying each other's company. Those moments of connection and closeness as a family don't come along too often these days.Well, I guess that summer adventure Down Under will be pretty hard to top. But I plan to soak up every last minute of thisfreedom before school starts up again. Maybe I'll even start brainstorming ideas for where we should travel next year...or at least start hinting about it to my parents! An epic summer vacation will definitely go down as one of the highlights of being a kid.。

河南省三门峡市2024-2025学年三上数学第六单元部编版质量检测模拟卷

河南省三门峡市2024-2025学年三上数学第六单元部编版质量检测模拟卷学校：_______ 班级：__________姓名：_______ 考号：__________（满分：100分时间：45分钟）总分栏题号一二三四五六七总分得分评卷人得分一、认真审题，填一填。

（除标注外，每空1分）1.285×42的积是位数，得数在左右．2.李老师每分钟跳绳199下，4分钟大约跳绳( )下。

3.400的5倍是，13的6倍是，8个15连加的和是．4.125与400的积里有2个0．．5.一个非零的一位数乘两位数，积可能是位数，也可能是位数．6.在横线里填上“＞”，“＜”或“=”130×30 13×300 17×300 30×180700×10 10×770 17×40 19×30．7.1×3×5×7×9×0= ．8.计算40×4，可以把40看作个十，个十乘4得个十，所以40×4= ．9.最大能填几？60×__＜182 80×__＜56864×__＜360 19×__＜160评卷人得分二、仔细推敲，选一选。

（将正确答案的序号填入括号内）（每小题2分，10分）1.如下图，算式45×3求的是（）。

A．1个书架可以放多少本书？B．3个书架可以放多少本书？C．4个书架可以放多少本书？2.如图竖式中3乘8所得的24，表示24个（）。

A．一B．十C．百3.下面算式的得数在4000至5000之间的（）。

A．906×4B．380×9C．9×5104.5×6×7×0等于（）A．30B．210C．05.求27是3的几倍，列算式是（）A．27×3B．27÷3C．27﹣3D．27+3评卷人得分三、判一判。

大同市第一中学初中英语七年级下册Starter Unit 10经典练习题(培优)

考试范围：xxx；满分：***分；考试时间：100分钟；命题人：xxx 学校：__________ 姓名：__________ 班级：__________ 考号：__________一、选择题1．—I'm very thirsty(口渴的) now.—Would you like some ______？A．noodles B．potatoes C．tea D．fish2．We have in our restaurant．A．some special B．any special C．some specials D．any specials3．I don’t like．A．onions，tea or porridge B．onions，tea and porridge C．onion，tea or porridges D．onion，tea and porridges4．They have two bowls of noodles．A．tomato and egg B．tomato and eggs C．tomatoes and egg D．tomatoes and eggs 5．—Can I help you ? —I’d like to drink ______.A．some oranges B．oranges C．some orange D．orange juices 6．______ you like______ to eat?A．Are, something B．Are, anything C．Would, something D．Would, anything 7．---What's your favorite fruit, Tom? ---__________.A．Green tea B．Onions C．Soup D．Apples 8．—What do you need for the soup，Jenny?—________ onion and two eggs，please.A．A B．An C．/ D．The9．This cup is too small. Do you have a ________ one?A．clean B．large C．round D．new 10．—Would you like tea ________ juice?—Tea，please.A．and B．or C．but D．so11．（题文）—Would you like ______ soccer with us，Tom?—Sure.I like ______ soccer very much.A．to play；playing B．playing；playingC．play；to play D．to play；play12．Last night the big fire in Sunshine Shopping Mall was started by the children playing with matches．，no one was hurt．A．Luckily B．Suddenly C．Easily D．Sadly 13．—What ______ dumplings would you like?—I'd like beef dumplings，please.A．kind of B．kind C．time D．size14．In some places, Chinese people often eat eggs ________ their birthday.A．in B．on C．at D．to 15．—Do you like eating rice or noodles？—______.A．Yes，I do B．No，I don'tC．Noodles，please D．Not at all16．—Are there______ vegetables on the table?—Yes.There are ______ vegetables on it.A．some；some B．any；any C．some；any D．any；some 17．—______？—I'd like a hamburger，please.A．Can I help you B．Do you like a hamburger C．What do you do D．Would you like a hamburger 18．There are lots of students in the classroom.The number of them ______ 80.A．is B．has C．have D．are19．We would like _____ to school by bike.A．to go B．goes C．going D．go20．Alice doesn’t have _______ bananas, but she has _______ apples.A．some; any B．some; someC．any; any D．any; some21．—Look! There is _______ cake on the table.—_______ cake must be for Alan. Tomorrow is his birthday.A．a; A B．a; TheC．the; A D．the; The22．—Would you like some strawberries?—_______.A．No problem B．It’s OKC．No, I wouldn’t D．Yes, please23．For ________，I like beef and fish.But I don't like chicken.A．fruit B．vegetables C．drinks D．meat 24．—Would you like some milk? —________.A．Yes，it is B．Yes，I would C．No，I wouldn't D．Yes，please 25．—______?—I’d like some noodles.A．What do you like B．Do you like some noodles C．What size would you like D．What would you like26．We have no ______ in the fridge(冰箱)．Let's go and buy some mutton and beef. A．meat B．eggs C．vegetables D．fruit【参考答案】一、选择题1．C2．C3．A4．A5．C6．C7．D8．B9．B10．B11．A12．A13．A14．B15．C16．D17．A18．A19．A20．D21．B22．D23．D25．D26．A【参考解析】一、选择题1．C解析：C【解析】句意：-我现在非常的口渴。

初一下册英语60页二题作文仿写

初一下册英语60页二题作文仿写篇一：Hello, everyone! I don’t like sports, but I like eating very much. I eat a lot food every day. For breakfast, I like milk, eggs and bread a lot 。

For lunch, I like French fries, chicken, hamburgers and apples. For dinnerr, I like fruits, vegetables and rice.篇二：Hello, everyone! I don’t like sports, but I like eating very much. I eat a lot food every day. For breakfast, I like milk, eggs and bread a lot . For lunch, I like French fries, chicken, hamburgers and apples. For dinnerr, I like fruits, vegetables and rice.篇三：Mr. Lee is my English teacher, and is thirty. He likes sports very much, so he looks strong and young. He is fond of singing too. When we feel tired in the class, he will teach us some English songs. Sometimes he tells us some funny stories. He often encourages us to speak and write in English. Although we may make mistakes now and then, he always corrects them patiently and tells us how to write properly. He is really a good teacher. We all love him and his class.篇四：Look! This is Tom’s room. His photos are on the wall. His T-shirt is on the bed. His baseball bat is behind the dresser. The keys are in the drawer. The computer is on the desk. Where is Tom’s baseball? Oh, It’s under the bed. What is on the floor? They are Tom’s shoes, socks and computer games. What do you think of Tom’s room?。

大庆中学初中英语九年级全一册Starter Unit 6阶段练习(专题培优)

考试范围：xxx；满分：***分；考试时间：100分钟；命题人：xxx 学校：__________ 姓名：__________ 班级：__________ 考号：__________一、选择题1．— Thanks for offering me _________ useful advice!— __________.A．so ; With pleasure B．so ; My pleasureC．such ; My pleasure D．such ; With pleasure2．—How dangerous!—Yeah.The bus hit the car just now.A．nearly B．normally C．clearly D．mostly3．I met an old friend of mine in the street yesterday.A．by accident B．by the end C．by mistake D．by then 4．—The book ________ to you by Jim，so you can ask him.—Thank you. I will ask him.A．gave B．was given C．was giving D．had given5．--- Some schools have used smart uniforms. I wonder .--- They can tell parents where their children are.A．who invented them B．what they are used for C．when students wear them 6．The number of the people using Huawei ________is getting larger and larger.A．cultures B．customers C．products D．histories 7．More money __________ when we use both sides of paper.A．will save B．was saved C．saved D．will be saved 8．─He al ways appears to _________.─That's because he's really knowledgeable and experienced.A．have a point B．pull together C．take place D．make a choice 9．—Through 5G, people in two different cities can even “shake hands” on the same screen.— _________A．What a mess! B．Don’t mention it.C．With pleasure. D．Wonderful, indeed. 10．The government of China _________the idea of A Belt and A Road in 2013.A．came up with B．cheered up C．put up11．Most young girls like wearing clothes ________.A．in trouble B．in style C．in order D．in need 12．—So kind of you to give me a ride to the station!—________.A．It doesn't matter B．Never mindC．Yes D．My pleasure13．Thanks to Project Hope, ________ children have better lives.A．thousands of B．thousands C．thousand of14．It's a pity that we'll have no ________ to watch the Olympics in Tokyo, 2020. A．choice B．chance C．reason D．place 15．—Can you help me open the door？—________.A．Never mind B．My pleasure C．With pleasure D．It's a pleasure 16．____________ Lily ____________ Lucy never pays anybody ____________ repair their things.A．Both; and; to B．Both; and; forC．Not only; but also; to D．Not only; but also; for17．Though lemon tastes __________, I still like it.A．crispy B．salty C．sour18．—What do you think of the dish?—It is sweet and s our, but isn’t __________.A．crisp enough B．crispy enough C．enough crisp D．enough crispy 19．— Listen! ______.—Oh, let’s go to the classroom.A．There goes the bell. B．There is a bell. C．There the bell go. 20．— Mum, I am hungry now. Is there in the fridge？— Sorry, there is nothing in the fridge.A．anything to drink B．anything to eatC．something to drink D．something to eat21．---How long has the country been open to international trade? ---____________1978, I think.A．After B．Before C．In D．Since 22．Look! These are ___________.A．me two rulers B．a ruler C．two ruler D．two rulers 23．How delicious the cake is! It________ by my grandmother this morning.A．made B．is made C．was made D．will be made 24．—Can you help me think of an idea?—________. Let me think.A．With pleasure B．No way C．Never mind D．That's right 25．The dress is in a special ________. It only sells in our store. Try it on and you'll like it. A．list B．brand C．condition D．style 26．—How is your project?—________, so good.A．As long B．So far C．So much D．As for【参考答案】一、选择题1．C2．A3．A4．B5．B6．C7．D8．A9．D10．A11．B12．D13．A14．B15．C16．C17．C18．B19．A20．D21．D22．D23．C24．A25．D26．B【参考解析】一、选择题1．C解析：C【详解】句意：——谢谢你给我这么有用的建议！——我的荣幸。

江阴市南闸实验学校七年级下学期英语Unit 3单元测试卷

2020-2021学年下学期七年级英语第三单元测试卷(A)一、单词辨音（5分）()1. A. nothing B. notice C. golden D. hope()2. A. pizza B. building C. ring D. notice()3. A. duck B. usually C. hungry D. hundred( )4. A. help B. smell C. below D. better( )5. A. look B. cook C. foot D. soon()6. A. sound B. double C. underground D. around( )7. A. show B. flower C. shower D. down()8. A. forty B. forward C. information D. order()9. A. Western B. together C. winter D. hers()10. A. think B. theirs C. nothing D. throne二、词汇检测（10分）1. Where do you buy these _________ (明信片)? They are so nice.2. How many Chinese _________ (绘画, 油画) do you have in your home?3. Let's go to the new _________ (剧院) in Wanda Square and watch a play.4. How often does your grandfather go _________ (慢跑)?5. My brother _________ (拥有) a new sports car.6. Mr John and his family live in a _________ (安静的) street.7. Our new English teacher Miss Li is very _________ (友好的)to us.8.--- Who is this woman?--- She's a very _________ singer. I think everyone knows her.9. --- The boys are playing over there. Are these bags _________ ?--- Yes, I think so.10. --- Let's _________ a boat on the West Lake, shall we?--- Sorry, I can't. I'm afraid of water.三、单项填空（20分）( )1. Here is watch Mary bought me, I think it's useful thing to me.A. a; aB. the; anC. the; aD. a; an( )2. --- The fish _________ nice. You're really a good cook.--- Thanks. Try some, and you'll like it more.A. tastesB. cooksC. seesD. smells()3. The New City Square is a nice place on Sundays.A. goingB. to goC. going toD. go()4. --- Oh my god! Lucy fainted(晕倒)!--- Let's open the window and get her some air.A. warmB. freshC. luckyD. bright()5. --- Is this _________ bike? --- No, it is _________ .A. Tony; his sisterB. Tony's; his sisterC. Tony's; his sister'sD. Tony; his sister's()6. Looking after children isn't only _________ work. Men should also to it.A. woman'sB. womenC. womanD. women's()7. Be quick! Don't. _________ the early bus to the train station.A. stopB. waitC. missD. get() 8. It's about three _________ ride from our town to Nanjing.A. hour'sB. hours'C. hoursD. hour()9. _________ is the price of this pair of jeans?A. WhatB. How muchC. How manyD. How( )10. --- _________ is the supermarket Auchan from your home?--- It's about two miles _________ .A. How long; awayB. How long; far awayC. How far; awayD. How far; far away()11. --- What's in that leather bag? --- .A. NothingB. No oneC. AnythingD. Someone ()12. The bedroom with a picture of flowers on the door is _________ .A. Lily and LucyB. Lily's and Lucy'sC. Lily's and LucyD. Lily and Lucy's()13. _________ camera is not as expensive as _________ , but it works well too.A. My; hisB. Mine; himC. My; himD. Mine; his()14. --- Shall we have a picnic this Sunday morning? --- _________ .A. That's greatB. Good luckC. Oh, I seeD. You are welcome()15. Some boys are playing football, and are playing basketball.A. otherB. othersC. the otherD. another()16. My new flat is about 20 minutes _________ the centre of Suzhou _________ bus.A. to; inB. from; byC. in; byD. about; on()17. It often takes Mom an hour _________our dinner.A. to cookB. cookC. cookingD. cooks()18. June 1st is _________ and September 10th is _________ .A. the Child's Day; the Teachers' DayB. Children's Day; Teachers' DayC. the Children's Day; Teacher's DayD. Childs' Day; the Teacher's Day()19. I need new trousers. _________ old.A. My trousers isB. Mine areC. Mine isD. My one is()20. --- We'll go to Suzhou for our class trip next week.--- Aren't you lucky?A. Have fun!B. Take care!C. I hope so.D. Best wishes to you.四、完形填空（10分）How do you go to school? Some students may answer, "By car. "Maybe some others will look at them through green glasses (羡慕地).You needn't feel __1__ if you have no cars. It's true that cars are 2 . Many people find it hard to think about 3 life will be like if they have no cars. But now more people know that too many cars bring great 4 . They make streets too 5 .People are trying to stop pollution (污染) from cars. One way is to make 6 cars. But it 7 much to make these cars. And more people think about better ways. We can 8 our lifestyle. A lot of people in big cities go to work 9 bike now. Riding bikes is clean and healthy. It helps people get strong. Let's try together! I hope we can live in a green world with no pollution 10 .( )1. A. bad B. good C. well D. better()2. A. interesting B. important C. difficult D. dangerous ( )3. A. how B. what C. why D. where( )4. A. lessons B. fun C. skills D. problems ( )5. A. small B. clean C. busy D. modern ( )6. A. green B. red C. yellow D. white( )7. A. takes B. spends C. pays D. costs( )8. A. have B. change C. enjoy D. make( )9. A. on B. by C. with D. ride()10. A. something B. some days C. some day D. any day五、动词填空（10分）1. We all find it interesting _________ (learn) English with the help of Miss Wang.2. I am planning a day out, so I hope it _________ (not rain) tomorrow.3. My uncle _________ (check)my computer in the study. It doesn't work well.4. I often hear the old woman _________ (sing) Beijing opera in the morning.5. you (take) them to our company the day after tomorrow?6. My mother _________ (drive) me to school every day.7. You'd better come early so that you _________ (not miss) any part of the opera.8. Some ladies are practising _________ (dance) in the square.9. Don't let him _________ (eat) too much Beijing duck. He is too fat.10. 一Who _________ (show)us around the school this afternoon, MrWhite?一Mr Smith, the History teacher is.六、阅读理解（20分）（A）()1. How many kinds of animals are talked about(被谈论)in the passage?A. Four.B. FiveC. Six.D. Seven.() 2. Now Mr Smith is in the zoo with his two sons, one aged 14 and the other 10, how much are the tickets together?A. $4.00B. $3.00C. $2.00D. $1.00() 3. Which of the following is the visiting time?A. 8: 30a. m. on Monday.B. 9: 30a. m. on Friday.C. 3: 00p. m. on Sunday.D. 5: 00p. m. on Tuesday.( )4. What does the underlined (画线的) word "except" mean?A. but notB. and alsoC. the same asD. at times()5. Which of the following may we do in the zoo?A. To give some food to the fish.B. To touch the monkeys on the head.C. To throw things everywhere.D. To take a few nice photos.（B）Many Chinese students ask for advice on how to improve(提高) their English. There are three common questions.The first question is about real English. Li Gang said, "I want to learn real English. But I don't know what to do. "Watching English films is a good way to learn real English. You can watch them when you are tired after studying for a long time. While watching them, you can relax (放松) and learn real English at the same time.The second question is about speaking. Chen Ming said, "I'm too shy(害羞的) to talk with foreigners(外国人). ""How are you? ""Where are you from? ""What do you think of China? "These are good questions to start a talk. Many people are shy when they speak English, so before you begin, take a deep breath (呼吸) and smile! Smiling always helps.The third question is about vocabulary. Li Jia said, "I want to remember (记住) all the new words. I write them down, but I forget them soon. "Try to remember eight or ten words a day. Write them down on a piece of paper. Read the words whenever you see them, and change them every day. And when you're shopping, how about saying the English names for everything you see?()6. How many questions about learning English are mentioned (提及) in the passage!A. Two.B. Three.C. Four.D. Five.()7. If you want to talk with a foreigner, you'd better _________ before speaking according to the passage.A. smile at him or herB. give him or her a hugC. introduce (介绍) yourselfD. talk about the weather()8. Which isn't a good way to learn English?A. Watching English films.B. Practising.C. Sitting in your bedroom to remember words.D. Say the English names for everything you see.()9. What's Li Jia's problem?A. She's too shy to talk to foreigners.B. She doesn't know how to improve her listening in English.C. She spends too much time watching English films.D. She can't remember English words for long.()10. This passage mainly talks about _________ .A. why so many people learn EnglishB. how to remember English wordsC. why learning English is difficultD. how to improve English七、翻译句子（10分）1. 大风过后，树叶散落得到处都是。

甘肃省武威市2024年数学(高考)部编版真题(冲刺卷)模拟试卷

甘肃省武威市2024年数学（高考）部编版真题(冲刺卷)模拟试卷一、单项选择题（本题包含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）(共8题)第(1)题有一组样本数据0，1，2，3，4，添加一个数X形成一组新的数据，且，则新的样本数据的第25百分位数不变的概率为（）A．B．C．D．第(2)题设是定义在上的偶函数，对任意的，都有，且当时，．若在区间内关于的方程恰有个不同的实数根，则实数的取值范围是（）A．B．C．D．第(3)题已知函数，若不等式在上恒成立，则实数的取值范围是（）A．B．C．D．第(4)题已知集合，，则（）A．B．C．D．第(5)题命题“，”的否定是（）A．，B．，C．，D．，第(6)题若将函数图象上所有的点向右平移个单位长度后得到偶函数的图象.给出命题的最小正周期是的一个单调递增区间是，则下列命题中为真命题的是（）A．B．C．D．第(7)题将一个体积为的铁球切割成正三棱锥的机床零件，则该零件体积的最大值为（）A．B．C．D．第(8)题已知为虚数单位.，则（）A．1B．C．2D．4二、多项选择题（本题包含3小题，每小题6分，共18分。

在每小题给出的四个选项中，至少有两个选项正确。

全部选对的得6分，选对但不全的得3分，有选错或不答的得0分） (共3题)第(1)题如图，棱长为2的正四面体中，，分别为棱，的中点，为线段的中点，球的表面正好经过点，则下列结论中正确的是（）A．平面B．球的体积为C．球被平面截得的截面面积为D ．过点与直线，所成角均为的直线可作4条第(2)题已知平面向量，，则下列说法正确的是（）A．B．在方向上的投影向量为C．与垂直的单位向量的坐标为D．若向量与向量共线，则第(3)题在平面直角坐标系中，定义为两点、的“切比雪夫距离”，又设点及上任意一点，称的最小值为点到直线的“切比雪夫距离”，记作，给出下列四个命题，正确的是（）A．对任意三点，都有；B ．已知点和直线，则；C．到定点的距离和到的“切比雪夫距离”相等的点的轨迹是正方形.D．定点、，动点满足，则点的轨迹与直线（为常数）有且仅有2个公共点.三、填空（本题包含3个小题，每小题5分，共15分。

青海省海北藏族自治州(新版)2024高考数学统编版(五四制)模拟(综合卷)完整试卷

青海省海北藏族自治州（新版）2024高考数学统编版（五四制）模拟(综合卷)完整试卷一、单选题：本题共8小题，每小题5分，共40分 (共8题)第(1)题如图，在圆锥中，，是上的动点，是的直径，，是的两个三等分点，，记二面角，的平面角分别为，，若，则的最大值是（）A．B．C．D．第(2)题已知分别是椭圆的上下两个焦点，若椭圆上存在四个不同点,使得的面积为，则椭圆的离心率的取值范围是A．B．C．D．第(3)题已知正三棱台的上､下底面的边长分别为2和4，且棱台的侧面与底面所成的二面角为，则此三棱台的表面积为（）A．B．C．D．第(4)题已知数列的通项公式为，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第(5)题不等式成立的一个充分不必要条件是（）A．B．C．D．第(6)题已知集合M＝{（x，y）|y＝2，xy≤0}，N＝{（x，y）|y＝x2}，则中的元素个数为（）A．0B．1C．2D．1或2第(7)题已知，，，则（）A．B．C．D．第(8)题若满足约束条件，则的取值范围为A．B．C．D．二、多选题：本题共3小题，每小题6分，共18分 (共3题)第(1)题已知（）的展开式中第5项与第7项的二项式系数相等，且展开式的各项系数之和为1024，则下列说法正确的是（）A．展开式中奇数项的二项式系数和为256B．展开式中第6项的系数最大C．展开式中存在常数项D．展开式中含的项的系数为35第(2)题若均为不相等实数，下列命题中正确的是（）A．若，，则B．若，，，则C．若，，则D．当时，不等式成立第(3)题已知数列的前项的和为，，，，则下列说法正确的是（）A．B．是等比数列C．D．三、填空题：本题共3小题，每小题5分，共15分 (共3题)第(1)题某儿童游乐场有一台打地鼠游戏机，共有9个洞.游戏开始后，每次有且仅有一只地鼠从某洞中冒出，地鼠第1次从1号洞冒出来.假设游戏过程中地鼠从上一个洞继续冒出的概率为，从其它洞冒出的可能性相等，则地鼠第3次从1号洞冒出的概率是__________.假设游戏结束时，地鼠一共冒出次，则地鼠从1号洞冒出的次数期望值为__________.第(2)题若数列满足则=________.第(3)题某校有足球、篮球、排球三个兴趣小组，共有成员120人，其中足球、篮球、排球的成员分别有40人、60人、20人．现用分层抽样的方法从这三个兴趣小组中抽取24人来调查活动开展情况，则在足球兴趣小组中应抽取__人．四、解答题：本题共5小题，每小题15分，最后一题17分，共77分 (共5题)第(1)题某省高考改革新方案中，语文、数学、外语为必考的3个学科，然后在政治、历史、地理、物理、化学、生物6个学科中自主选择3个科目参加等级性考试，称为“”模式．为了解数学能力对选考物理的影响，某中学随机调查了该校的200名高三学生，调查结果如下表．数学能力优秀良好中等合格不合格人数5248503020选考物理人数463425105将数学能力在中等以下（不包括中等）的学生评价为数学能力较弱；否则，评价为数学能力不弱．（1）请根据上述表格中的统计数据填写下面的列联表，并通过计算判断是否有99．9%的把握认为是否选考物理与数学能力有关；不选考物理选考物理合计数学能力不弱数学能力较弱合计（2）以样本估计总体，以频率估计概率，从全省高三学生中随机抽取3人，记抽取的3人中选考物理的人数为，求的分布列与数学期望．附：，其中0.0500.0100.0050.0013.841 6.6357.87910.828第(2)题新冠疫情这特殊的时期，规定居民出行或出席公共场合均需佩戴口罩，现将地区居民人一周的口罩使用量统计如表所示，其中个人一周的口罩使用为个以及个上的有人.个人的一周口罩使用数量（单位：个）频率（1）求、的值；（2）用样本估计总体，将频率视为概率，若从地区的所有居民中随机抽取人，记一周使用口罩数量（单位：个）在范围的人数为，求的分布列及数学期望.第(3)题已知函数.(1)求的单调区间；(2)若有两个零点，求实数的取值范围.第(4)题如图，已知线段为圆柱的三条母线，为底面圆的一条直径，是母线的中点，且.(1)求证：平面DOC；(2)求平面与平面的夹角的余弦值.第(5)题已知椭圆的离心率为的上顶点，为椭圆上任意一点，且满足的最大值为4.(1)求椭圆的方程；(2)已知.过点的直线（斜率存在且不为1）与椭圆交于两点.证明：平分.。

四川省内江市(新版)2024高考数学苏教版考试(押题卷)完整试卷

四川省内江市（新版）2024高考数学苏教版考试(押题卷)完整试卷一、单选题：本题共8小题，每小题5分，共40分 (共8题)第(1)题已知集合，，则（）.A．B．C．D．第(2)题木星的体积约是地球体积的倍，则它的表面积约是地球表面积的（）A ．60倍B．倍C．120倍D．倍第(3)题已知正四棱锥（底面为正方形，且顶点在底面的射影为正方形的中心的棱锥为正四棱锥）P－ABCD的底面正方形边长为2，其内切球O的表面积为，动点Q在正方形ABCD内运动，且满足，则动点Q形成轨迹的周长为（）A．B．C．D．第(4)题已知集合，，若，则（）A．0或1B．1或2C．0或2D．0或1或2第(5)题已知集合，集合，则等于（）A．P B．Q C．D．第(6)题已知集合M＝{（x，y）|y＝2，xy≤0}，N＝{（x，y）|y＝x2}，则中的元素个数为（）A．0B．1C．2D．1或2第(7)题通过随机询问某中学110名中学生是否爱好跳绳，得到如下列联表：跳绳性别合计男女爱好402060不爱好203050合计6050110已知，，根据小概率值的独立性检验，以下结论正确的为（）A．爱好跳绳与性别有关B．爱好跳绳与性别有关，这个结论犯错误的概率不超过0.001C．爱好跳绳与性别无关D．爱好跳绳与性别无关，这个结论犯错误的概率不超过0.001第(8)题已知的展开式中存在常数项，则n的可能取值为（）A．4B．5C．6D．8二、多选题：本题共3小题，每小题6分，共18分 (共3题)第(1)题已知正方体的棱长为2，分别是边的中点. 下列说法正确的是（）A．B．三棱锥的体积为1C．三棱锥的表面积为D．以为球心，半径为的球面与侧面的交线长为第(2)题已知函数，其中，，是的导函数，若的最大值为，且，则使函数在区间上的值域为的m的取值可以为（）A．B．C．D．第(3)题已知，则下列式子正确的是（）A．B．C．D．三、填空题：本题共3小题，每小题5分，共15分 (共3题)第(1)题函数是奇函数的导函数，，当时，，则使得成立的x的取值范围是________.第(2)题非空集合中所有元素乘积记为. 已知集合，从集合的所有非空子集中任选一个子集，则为偶数的概率是__________．（结果用最简分数表示）第(3)题函数，若有且仅有一个实数满足：①；②是函数图象的对称轴.则的取值范围是___________．四、解答题：本题共5小题，每小题15分，最后一题17分，共77分 (共5题)第(1)题数列满足，．(1)求的通项公式；(2)若，求数列的前20项和．第(2)题氮氧化物是一种常见的大气污染物，它是由氮和氧两种元素组成的化合物，有多种不同的形式．下图为我国2014年至2022年氮氧化物排放量（单位：万吨）的折线图，其中，年份代码1～9分别对应年份2014～2022．计算得，，．(1)是否可用线性回归模型拟合与的关系？请用折线图和相关系数加以说明；(2)是否可用题中数据拟合得到的线性回归模型预测2023年和2033年的氮氧化物排放量？请说明理由．附：相关系数，．第(3)题如图，在四棱柱中，是边长为2的菱形，且，侧面底面为中点.(1)求证：平面平面；(2)求三棱锥的体积.第(4)题已知是个正整数组成的行列的数表，当时，记．设，若满足如下两个性质：①；②对任意，存在，使得，则称为数表．(1)判断是否为数表，并求的值；(2)若数表满足，求中各数之和的最小值；(3)证明：对任意数表，存在，使得．第(5)题已知函数．(1)当时，讨论在区间上的单调性；(2)若，求的值．。

辽宁省阜新市2024高三冲刺(高考数学)统编版真题(巩固卷)完整试卷

辽宁省阜新市2024高三冲刺（高考数学）统编版真题(巩固卷)完整试卷一、单选题：本题共8小题，每小题5分，共40分 (共8题)第(1)题在约束条件下，当时，目标函数的最大值的变化范围是A．B．C．D．第(2)题已知，，则“”是“”成立的（）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第(3)题6位同学在毕业聚会活动中进行纪念品的交换，任意两位同学之间最多交换一次，进行交换的两位同学互赠一份纪念品，已知6位同学之间共进行了13次交换，则收到份纪念品的同学人数为A．或B．或C．或D．或第(4)题函数的最小正周期是A．B．C．D．第(5)题设，是向量，则“”是“或”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第(6)题已知点M，N在圆锥SO的底面圆周上，S为圆锥顶点，O为圆锥的底面中心，且的面积为4，，若SM与底面所成角为，则圆锥SO的表面积为（）A．B．C．D．第(7)题设，则的大小关系为（）A．B．C．D．第(8)题已知，则（）A．B．C．D．2二、多选题：本题共3小题，每小题6分，共18分 (共3题)第(1)题定义在上的函数满足，，则（）A．的图象关于对称B．4是的一个周期C．D．第(2)题《九章算术》中将底面为长方形且有一条侧棱与底面垂直的四棱锥称为阳马．如图正方体的棱长为2，点是该正方体的侧面上的一个动点（含边界），且平面，，分别是棱，的中点，则下列结论正确的是（）A．直线与直线不可能垂直B．三棱锥的体积为定值C．直线与平面所成角的正弦值的最大值为D．阳马的外接球与内切球的半径之比为第(3)题已知函数及其导函数的定义域均为，记，若，均为偶函数，则（）A．B．C．D．三、填空题：本题共3小题，每小题5分，共15分 (共3题)第(1)题已知直线与椭圆交于两点（点在轴下方，点在轴上方），椭圆的左、右焦点分别为，若，则______．第(2)题已知正六边形顶点的字母依次按逆时针顺序确定的边长为，点是内含边界的动点．设、，则的取值范围是______．第(3)题用经过球O表面上两点A，B的平面去截球O，所得截面面积的最小值为，若为等边三角形，则球O的表面积为______．四、解答题：本题共5小题，每小题15分，最后一题17分，共77分 (共5题)第(1)题“熵”常用来判断系统中信息含量的多少，也用来判断概率分布中随机变量的不确定性大小，一般熵越大表示随机变量的不确定性越明显．定义：随机变量对应取值的概率为，其单位为bit的熵为，且．（当，规定．）(1)若抛掷一枚硬币1次，正面向上的概率为，正面向上的次数为，分别比较与时对应的大小，并根据你的理解说明结论的实际含义；(2)若拋掷一枚质地均匀的硬币次，设表示正面向上的总次数，表示第次反面向上的次数（0或1）．表示正面向上次且第次反面向上次的概率，如时，．对于两个离散的随机变量，其单位为bit的联合熵记为，且．（ⅰ）当时，求的值；（ⅱ）求证：．第(2)题已知函数.(1)求曲线在处的切线方程；(2)若，证明：.第(3)题已知函数.(1)讨论的单调性；(2)若，证明：.第(4)题有两个盒子，其中1号盒子中有3个红球，2个白球；2号盒子中有4个红球，6个白球，这些球除颜色外完全相同.(1)先等可能地选择一个盒子，再从此盒中摸出2个球．若摸出球的结果是一红一白，求这2个球出自1号盒子的概率；(2)如果从两个盒子中摸出3个球，其中从1号盒子摸1个球，从2号盒子摸两个球，规定摸到红球得2分，摸到白球得1分，用表示这3个球的得分之和，求的分布列及数学期望.第(5)题已知椭圆的右焦点为，其四个顶点的连线围成的四边形面积为；菱形内接于椭圆．(1)求椭圆的标准方程；(2)（ⅰ）坐标原点在边上的投影为点，求点的轨迹方程；（ⅱ）求菱形面积的取值范围．。

安徽省宿州市(新版)2024高考数学统编版(五四制)真题(押题卷)完整试卷

安徽省宿州市（新版）2024高考数学统编版（五四制）真题(押题卷)完整试卷一、单选题：本题共8小题，每小题5分，共40分 (共8题)第(1)题已知数列满足，，，则数列的第2024项为（）A．B．C．D．第(2)题已知向量，满足，，则（）．A．B．C．D．第(3)题5G基站建设是众多“新基建”的工程之一，截至2021年7月底，A地区已经累计开通5G基站300个，未来将进一步完善基础网络体系，加快推进5G网络建设．已知2021年8月该地区计划新建50个5G基站，以后每个月比上一个月多建40个，预计A地区累计开通4640个5G基站要到（）A．2022年10月底B．2022年9月底C．2022年8月底D．2022年7月底第(4)题《九章算术》中有一道“良马、驽马行程问题”.若齐国与长安相距3000里，良马从长安出发往齐国去，驽马从齐国出发往长安去，同一天相向而行.良马第一天行155里，之后每天比前一天多行12里，驽马第一天行100里，之后每天比前一天少行2里，则良马和驽马第几日相遇（）A．第10日B．第11日C．第12日D．第60日第(5)题已知集合，，则A．B．C．D．第(6)题若复数满足（i是虚数单位），的共轭复数是，则的模是（）A．B．4044C．2D．0第(7)题设，已知两个非空集合，满足，则（）A．B．C．D．第(8)题在复平面内，复数对应的点位于（）A．第一象限B．第二象限C．第三象限D．第四象限二、多选题：本题共3小题，每小题6分，共18分 (共3题)第(1)题下列说法中正确的是（）A．用简单随机抽样的方法从含有60个个体的总体中抽取一个容量为6的样本，则个体m被抽到的概率是0.1B．已知一组数据1，2，m，6，7的平均数为4，则这组数据的方差是C．数据13，27，24，12，14，30，15，17，19，23的第70百分位数是23D．若样本数据的标准差为8，则数据的标准差为32第(2)题如图，在下列四个正方体中，A，B为正方体的两个顶点，M，N，Q为所在棱的中点，则在这四个正方体中，直线与平面平行的是（）A．B．C．D．第(3)题为了做好社区新疫情防控工作，需要将5名志愿者分配到甲､乙､丙､丁4个小区开展工作，则下列选项正确的是( )A．共有625种分配方法B．共有1024种分配方法C．每个小区至少分配一名志愿者，则有240种分配方法D．每个小区至少分配一名志愿者，则有480种分配方法三、填空题：本题共3小题，每小题5分，共15分 (共3题)第(1)题在△ABC中，已知BC=12，A=60°，B=45°，则AC=_________________第(2)题用列举法表示______．第(3)题已知函数，若方程f（x）＝m（m∈R）恰有三个不同的实数解a，b，c（a＜b＜c），则（a＋b）c的取值范围是_____________．四、解答题：本题共5小题，每小题15分，最后一题17分，共77分 (共5题)第(1)题已知点是椭圆上任意一点，点，抛物线上点的纵坐标为，.（1）求抛物线的标准方程：（2）若抛物线的准线上一点满足，试判断是否为定值，若是，求这个定值：若不是，请说明理由.第(2)题马尔科夫链是概率统计中的一个重要模型，因俄国数学家安德烈·马尔科夫得名，其过程具备“无记忆”的性质，即第次状态的概率分布只跟第次的状态有关，与第，，，…次状态无关，即.已知甲盒子中装有2个黑球和1个白球，乙盒子中装有2个白球，现从甲、乙两个盒子中各任取一个球交换放入另一个盒子中，重复次这样的操作.记甲盒子中黑球个数为，恰有2个黑球的概率为，恰有1个黑球的概率为.(1)求，和，；(2)证明：为等比数列（且）；(3)求的期望（用表示，且）.第(3)题椭圆的左、右焦点分别为，点在椭圆上，直线与椭圆的另一个交点分别为.（1）若点坐标为，且，求椭圆的方程；（2）设，，求证：为定值.第(4)题新高考改革后广西省采用“3+1+2”高考模式，“3”指的是语文､数学､外语，这三门科目是必选的；“1”指的是要在物理､历史里选一门；“2”指考生要在生物学､化学､思想政治､地理4门中选择2门.(1)若按照“3+1+2”模式选科，求甲乙两个学生恰有四门学科相同的选法种数；(2)某教育部门为了调查学生语数外三科成绩，现从当地不同层次的学校中抽取高一学生5000名参加语数外的网络测试､满分450分，假设该次网络测试成绩服从正态分布.①估计5000名学生中成绩介于120分到300分之间有多少人；②某校对外宣传“我校200人参与此次网络测试，有10名同学获得430分以上的高分”，请结合统计学知识分析上述宣传语的可信度.附：，，.第(5)题已知椭圆的离心率为，长轴长为4．(1)求椭圆C的标准方程；(2)O为坐标原点，过点且斜率不为零的直线与椭圆C交于E，F两点，试问：在x轴上是否存在一个定点T，使得．若存在，求出定点T的坐标；若不存在，说明理由．。

湖北省孝感市(新版)2024高考数学苏教版测试(综合卷)完整试卷

湖北省孝感市（新版）2024高考数学苏教版测试(综合卷)完整试卷一、单选题：本题共8小题，每小题5分，共40分 (共8题)第(1)题设锐角满足，则数据的极差是（）A．B．C．D．第(2)题某几何体的三视图如图所示，其中俯视图为扇形，则该几何体的体积为（）A．B．C．D．第(3)题在正四棱锥中，的中点为，给出以下三个结论：①平面；②侧棱与底面所成角的大小为时，则侧棱与底面边长之比为；③若，该四棱锥相邻两侧面成角的余弦值为．则关于这三个结论叙述正确的是（）A．①②对，③错B．①③对，②错C．①对，②③错D．①②③都对第(4)题已知实数x，y满足约束条件，则的最小值是（）A．B．－1C．D．第(5)题记为等差数列的前项和，若，则（）A．B．C．10D．12第(6)题A．B．C．D．第(7)题已知定义在上的函数满足，且当时，,若，则（）A．B．C．D．第(8)题已知点M，N在圆锥SO的底面圆周上，S为圆锥顶点，O为圆锥的底面中心，且的面积为4，，若SM与底面所成角为，则圆锥SO的表面积为（）A．B．C．D．二、多选题：本题共3小题，每小题6分，共18分 (共3题)第(1)题已知函数的最小正周期为π，且对恒成立，则下列说法中正确的是（）A．B．C．函数的极大值点的集合是D．函数与函数的图象关于直线对称第(2)题有一组样本数据的平均数为，方差为，则下列说法正确的是（）A．设，则样本数据的平均数为B．设，则样本数据的方差为C．样本数据的平均数为D．第(3)题设圆的方程是，其中，，下列说法中正确的是（）A．该圆的圆心为B．该圆过原点C．该圆与x轴相交于两个不同点D．该圆的半径为三、填空题：本题共3小题，每小题5分，共15分 (共3题)第(1)题已知等比数列，，满足，则的值为___________.第(2)题双曲线：的焦距是4，其渐近线与圆：相切，则双曲线的方程为___________．第(3)题已知在直三棱柱中，，且此三棱柱有内切球，则此三棱柱的内切球与外接球的表面积之比为__________.四、解答题：本题共5小题，每小题15分，最后一题17分，共77分 (共5题)第(1)题已知椭圆的短轴长为，离心率为．(1)求椭圆的标准方程；(2)若直线l与圆相切，与椭圆交于不同的两点，求的面积的最大值．第(2)题已知函数.（1）讨论函数的单调区间情况；（2）若函数有且只有两个零点，证明：.第(3)题已知函数．（1）讨论的单调性；（2）若函数有两个不同的极值点、，求证：；（3）设，函数的反函数为，令，、、，，且，若时，对任意的且，恒成立，求的最小值.第(4)题几何证明选讲.如图，直线过圆心，交⊙于，直线交⊙于 (不与重合)，直线与⊙相切于,交于,且与垂直，垂足为,连结.求证：(1);(2).第(5)题已知椭圆的左､右顶点分别为，焦距为2，离心率为.(1)求椭圆的方程.(2)已知点的坐标为，是否存在直线，使得对于上任意一点（不在椭圆上），若直线交椭圆于另一点，直线交椭圆于另一点，恒有三点共线？若存在，求出的方程；若不存在，请说明理由.。

青海海西市人教版初中英语八年级上册Starter Unit 6经典练习(含解析)

考试范围：xxx；满分：***分；考试时间：100分钟；命题人：xxx 学校：__________ 姓名：__________ 班级：__________ 考号：__________一、选择题1．Many old people can't ________ what young men wear these days.A．stand B．agreeC．mind D．decide2．I think his plan ______ great.A．sound B．sounds likeC．sounds D．sounding3．—Where will you live in ten years，Helen?—I'll ________ stay in Beijing，but I'm not sure about it.A．seriously B．beautifully C．carefully D．probably 4．—Why are you in such a hurry,Mike?—There _______ an NBA basketball game in ten minutes.A．will be B．will haveC．is going to have D．are going to be5．You need not only talent but also hard work to become a _________ football player. A．young B．successful C．happy D．friendly 6．Almost everyone in my home ________ traveling around the world.A．enjoys B．enjoy C．enjoying D．to enjoy7．─What's your plan for the new term？─I ________ a foreign language.A．is going to learn B．am going to learn C．learning D．learn8．My brother enjoys ________ very much. He wants to be a ________.A．to cook; cooker B．cooking; cooker C．cooking; cook D．to cook; cook 9．Lily ________ books written in English easily when she was six years old.A．is able to read B．can read C．was able to reads D．was able to read 10．We need to do some research to ______ the answer.A．find out B．look out C．hand out D．take out 11．We outside the school gate tomorrow.A．is going to meet B．meet C．are going to meet D．will to meet 12．Why did the child ______ crying last night?A．came on B．come onC．keep on D．kept on13．— If we want to get good grades, we should work hard. — ________.A．No, it doesn’t B．Sounds interesting C．Yes, you are right D．Well, don’t worry 14．─What do you want to be in the future?─________. Because I’d like to study medicine to help the sick.A．An engineer B．A doctor C．A pilot D．A pianist 15．——Look, so many clouds in the sky. It's going to rain.——________. The farmers will be very happy if it rains.A．I hope not B．I am afraid soC．I hope so D．I am afraid not16．——This iPhone 5 is really cheap.——The ________， the better. I need money, you know.A．cheapest B．cheapC．cheaper D．more cheap17．Selina has many_________,such as drawing,dancing and taking photos.A．hobbies B．resolutionsC．promises D．schoolwork18．He loves playing piano,but he hasn’t got piano of his own.A．the;the B．the;a C．a;the D．a;a19．They ______ a picnic tomorrow.A．have B．is having C．are going to have D．had20．______ the beginning ______ this term，he made a resolution.A．From；on B．At；of C．From；with D．On；of21．I heard you ______ to do with the person.A．have B．have nothingC．had D．has nothing22．—Is that car ______？—Yes，it's _____ car.A．yours；own my B．yours；my ownC．your；own my D．your；my own23．There ____________ a basketball game in the gym tomorrow. Shall we go and watch it? A．will have B．is going to C．is going to be 24．—Where are you going to work after you finish university?—________. Maybe in Shanghai.A．I want to be a doctor B．I’m not sure C．Me too D．Sounds like a good plan25．─Nancy, do you know ________old lady in blue?─Yes, she is a teacher of ________ university.A．a; an B．the; an C．the; a D．the; the26．Lily _________ an e-mail to her parents after she arrived in Beijing.A．cooked B．lost C．sent D．reached【参考答案】一、选择题1．A 2．C 3．D 4．A 5．B6．A 7．B 8．C 9．D 10．A 11．C 12．C 13．C 14．B 15．C 16．C 17．A 18．B 19．C 20．B 21．C 22．B 23．C 24．B25．C26．C【参考解析】一、选择题1．A解析：A【详解】句意：现在许多老年人不能忍受年轻人穿的衣服。

云南昆明一中初中英语七年级下册Starter Unit 6经典练习(培优练)

考试范围：xxx；满分：***分；考试时间：100分钟；命题人：xxx 学校：__________ 姓名：__________ 班级：__________ 考号：__________一、选择题1．－What do you think of zongzi?－ Oh,it's_________ . I like it.A．bad B．boring C．scary D．delicious 2．--Your shirt is dirty． --Oh，I usually my clothes on the weekend．A．save B．wash C．wear D．use 3．Listen!The girl is singing American song.A．a B．anC．the D．/4．—Are they playing baseball?— They are playing basketball.A．Yes,they are. B．Yes,they do.C．No,they aren’t.D．No,they don’t.5．Peter likes to have ______ drink, but his brother Sam likes to drink ______ tea. A．the; a B．a; the C．a; 不填D．不填；a 6．Mrs. Black is 48 years old, but she looks very ______.A．short B．fat C．young D．smart 7．—What are you doing, Lingling?—______.A．Not much B．Thanks C．See you then D．That’s all right 8．________you get up at 8:30 in the morning, you’ll be late for school.A．Because B．As C．If D．Where 9．一Mom, may I drink the milk on the table?一No, you can't. It smells . It has gone bad.A．good B．well C．terribly D．terrible10．For our safety, we must the traffic rules on the way to school.A．follow B．change C．make D．break11．—Must I wait here all morning? I have a lot of work to do.—No, you . You may be back in the afternoon.A．mustn't B．can't C．don't have to 12．The teacher told us that the sun ________bigger than the earth.A．is B．was C．has been D．will be13．That sounds very _______.A．nice B．good C．well D．both A and B 14．Don’t ________ the chance when you can catch it, or you will regret.A．guess B．missC．remember D．allow15．(2017·日照 )New media,like WeChat,_______ the way ofcommunications nowadays.A．is changing B．will change C．changed D．were changing 16．－______－Sorry. There is no one named Gary. You must have the wrong number.A．Can I help you B．What's the matterC．Is that Gary speaking D．What can you do17．–I’m afraid I need a pair of glasses. I ____ hardly see the words on the blackboard.- That’s terrible. You may have got poor eyesight.A．can B．must C．may D．need18．Dan wishes ________ the plane to Beijing.A．to take B．takeC．takes D．taking19．There are some students playing on the playground.Some are playing ping－pong，some are running and ________are jumping.A．others B．the otherC．another D．other20．Mr Green is talking with his brother _____ the phone.A．at B．in C．with D．on21．—What is Kate doing? --________.A．She is in the room B．Yes, she isC．She is reading a book D．She likes singing22．Here _____ a letter for you.A．is B．am C．are D．be23．You can ___ a basketball under the table.A．see B．look C．read D．watch24．Jack ____ his mother clean the floor every day.A．helping B．is helping C．help D．helps25．— How long can a person_______ a shared bike for free in Wuxi?—For an hour.A．keep B．get C．borrow D．lend 26．Look，Nancy _______ a letter to her parents.A．writing B．is writing C．is writeing D．writes【参考答案】一、选择题1．D 2．B3．B 4．C 5．C 6．C7．A 8．C 9．D 10．A 11．C 12．A 13．D 14．B 15．A 16．C 17．A 18．A 19．A 20．D 21．C 22．A 23．A 24．D26．B【参考解析】一、选择题1．D解析：D【详解】句子“-你认为粽子怎么样？-很美味，我很喜欢它”。

2024年人教版七年级数学上册《实际问题与一元一次方程(2)配套及调配问题》课堂重难点精练

2.在甲处劳动的有29人，在乙处劳动的有19人.现在从乙处调一部分人到甲处去支援，使在甲处的人数为在乙处的人数的2倍，应从乙处调多少人到甲处去？解：设应调往甲处x人. 根据题意，得29＋x＝（19－x）×2. 解得x＝3. 答：调3个人到甲处去.
3.某家具厂有60名工人，加工某种有一个桌面和四条桌腿的桌子，工人每天每人可以加工3个桌面或6个桌腿.分配多少工人加工桌面，多少工人加工桌腿，才能使每天生产的桌面和桌腿配套？解：设分配x名工人加工桌面，则加工桌腿的工人有（60－x）名.根据题意，得 4×3x＝6×（60－x），解得：x＝20.60－20＝40. 答：分配20名工人加工桌面，40名工人加工桌腿.
人教版初中七年级数学上册课堂重难点精练
实际问题与一元一次方程（2）配套及调配问题
1.某车间有33名工人，每人每天可以生产1 200个螺钉或1 800个螺母， 1个螺钉配2个螺母，为使每天生产的螺钉和螺母刚好配套，应安排生产螺钉和螺母的工人各多少名？设有x名工人生产螺钉，则可列方程为（ A ） A.2×1 200x＝1 800（33－x） B.1 200x＝2×1 800（33－x） C.2×1 800x＝1 200（33－x） D.1 800x＝2×1 200（

青海师范大学附属中学人教版初中英语八年级下册Starter Unit 6测试(培优提高)

考试范围：xxx；满分：***分；考试时间：100分钟；命题人：xxx 学校：__________ 姓名：__________ 班级：__________ 考号：__________一、选择题1．﹣ The price of vegetables so quickly these days．﹣ Oh，no，but I don' t think so．A．afford B．rises C．improves D．raise 2．She keeps _______ the piano for two hours every day and is good at it.A．play B．to play C．playing D．is playing3．（题文）My mother is _______ busy _______ she can’t cook for us at noon. A．so; that B．such; that C．too; to D．as; as4．— Jack, you look worried. What happened?—I _____ forgot Mr. John’s project and I’m afraid he’ll be very angry. A．successfully B．completelyC．smoothly D．peacefully5．She bought a chair made ______ bamboo.A．of B．from C．in D．by6．The girl sang a beautiful song in a sweet ______.A．sound B．voice C．noise D．sounds 7．—Does the dress ______ her?—Yes，she is very beautiful in it.A．keep B．fit C．hit D．fix8．—I think I'm right.He is wrong.—______ of you is wrong.There are two sides to everything.A．Neither B．None C．Either D．Both 9．The emperor was ______ stupid ______ everyone laughed at him.A．so；that B．such；thatC．too；to D．so；to10．Jack's mother was so tired. She fell asleep she lay down on the bed.A．until B．as soon asC．unless D．although11．Shanghai is one of _______ in the world .A．more big city B．the biggest cityC．the biggest cities D．the most big city12．The story was very funny and she couldn’t stop ________.A．to laugh B．laughing C．laughed D．laugh 13．You'd better take a taxi ________taking a bus to go to school . It's not early now ! A．in danger B．instead of C．because of D．in fashion14．The people who are more confident have more____to make themselves successful. A．education B．chances C．pride D．excuses 15．After 20 years of hard work, the people ______ their hometown ______ a modern city. A．put; with B．turned; into C．changed; for D．grew; like 16．—What are you going to do tomorrow?—I’m going for a picnic in the park ______ it rains tomorrow.A．when B．because C．if D．unless 17．The little girl was scared of snakes so she ______ herself behind her mother.A．hurt B．hid C．enjoyed D．cut 18．—Why didn’t you tell your opinions to your parents?—I was not ______ enough at that time.A．tall B．weak C．typical D．brave19．No matter how hard it is, we’ll keep until we make it.A．failed B．failing C．tried D．trying20．- Honey, there is ________ salad in the fridge. Would you like to go shopping with me? -Yes, I’d love to . But I’m _______ tired.A．little , a little bit B．a bit , a little C．a bit , a bit D．a bit , a little bit 21．Tony is interested in ________. He almost swims every day in summer.A．swim B．swimming C．to swim D．swiming22．I couldn’t stop ________ after I heard the news .A．laugh B．to laugh C．laughing D．laughed 23．It’s ________hot today, so you can take off your sweater, Jim.A．a kind of B．a little bit C．a bit of D．a lot of 24．Deng Ziqi is a singer,and she is famous for her beautiful ________.A．voice B．noise C．sound D．shape 25．It’s reported that a bus fell into a river yesterday. Luckily, ________ was hurt. A．somebody B．nobody C．everybody D．anybody 26．The most beautiful thing about learning is that ______ can take it away from you. A．anybody B．somebody C．everybody D．nobody【参考答案】一、选择题1．B2．C3．A4．B5．A6．B7．B8．A9．A10．B11．C12．B13．B14．B15．B16．D17．B18．D19．D20．A21．B22．C23．B24．A25．B26．D【参考解析】一、选择题1．B解析：B【解析】【详解】句意：﹣﹣这几天蔬菜价格上升得这么快．﹣﹣哦，不，但我不这么认为。