河北省张家口市2020-2021学年高二上学期期中考试英语答案
2020-2021学年第一学期阶段测试卷高二英语参考答案第一部分听力听力1~5.ABBCA6~10.BBACC11~15.BBBAA16~20.ACCCB听力材料及答案(Text1)M:The Golden Lion sounds like a good place to eat in.W:OK.Let’s go there.I hear they have good service.(Text2)W:I don’t have to go shopping by car now.The shopping center is within walking distance.M:Well,you’re lucky.I still go by car.The nearest store I can go to is about two miles away.(Text3)W:Do you like this coat,or shall I take the blue one?M:I like both of them,but I think the blue one fits you better.W:OK.I’ll get the blue one.It’s less expensive anyway.(Text4)W:What is that you are listening to?It is too noisy.I can’t concentrate on my work.M:No problem.I can switch over to something lighter.(Text5)M:Hey,Mom.I’m thinking of hitch-hiking around Europe this summer.What do you think?W:Hitch-hiking?That sounds dangerous!You shouldn’t go by yourself.You ought to go with a friend.M:Yes,I have thought of that.(Text6)W:Excuse me,but I think you’ve made a wrong turn.You were supposed to turn left on Wilson Boulevard.M:Oh,I am sorry.Didn’t you say1323Wilson?W:No,3023.It is OK though.You don’t have to take me there.I can walk from here.M:Why don’t I just make a U-turn there?It’s a one-way street;see the sign up ahead.Maybe if I turn left here,I can come down the next street.W:We can’t do that during rush hour really,though it won’t be much trouble.Sometimes one can wait30minutes for a taxi,so I’m happy to get this close.M:30minutes!I’ve been riding around all day looking for passengers.(Text7)W:What’s the matter,Bill?You look kind of pale.M:Oh,I’m just tired.W:Why?M:Well,I’ve been working until around ten every night this week.W:You should go home at quitting time today and take it easy.M:Yes.I think I will.W:That’s good.Say,how’s your brother?M:He’s fine,but he is awfully busy.He went to the States on a business trip two weeks ago.W:Oh,really?Is he back yet?M:No,he won’t come back for several more weeks.W:Wow!He must have a lot to do there.M:Yes,he does.W:I want to be sure of the time because I’m going to meet a friend at five o’clock sharp.M:Well,my watch says4:30,and that time should be right.I set it with the radio yesterday.W:Good.(Text8)W:Excuse me!M:Yes?W:I’m afraid I am lost.I’m looking for the East Town Shopping Mall.M:Did you say the Town Hall？W:No.The East Town Mall.M:The East Mall?You are lost!That isn’t anywhere near here!The East Town Mall is over near the airport.W:I’m not near the airport now?M:Oh,no!You are on the other side of town.Here is what you should do.Turn around and drive two or three miles down this street. When you see a big hospital on your right,turn left.That’s Bloomfield Avenue.Are you following me?W:Yes,I think so.M:OK.Then drive along Bloomfield Avenue and you’ll see the airport on the right and the mall is on the left.Okay?W:Yes,thanks very much.M:Good luck!(Text9)W:Now,David,what do you like best about being a football star?M:Well,I love to hear the cheering when I’m playing,especially when I score a goal.And,of course,the pay is good.But you know, the most important thing in football is teamwork.So I must thank all my teammates.W:Can you tell us something about your training?M:Well,we train very hard,especially before a big game.The team has to stay together on the road—sometimes for weeks—and I find it very boring.W:Do you get nervous?M:Before the game,yes,but not during it.W:Are you worried about tomorrow’s game?M:No.Even if we lose we’ll probably still get the cup.You see,we scored more goals than Northern City,so they’ll have to win by at least four goals if they want the cup.I don’t think they can do it.W:Thank you and good luck tomorrow.(Text10)If you don’t have any plans for your next vacation,how about going to an overseas English Language School,for example,in the USA or the UK?Many schools offer short courses for students of all ages,from seven to seventy years old!There are schools in small country towns,on college campuses,or in the middle of the city.Foreign students can stay in school buildings or with local families.Living with a family can be fun and can really help you learn. Just think—you’ll get at least two hours a day having dinners and conversations with native English speakers!Classes are usually small,with8to10students.On most afternoons you’ll have a choice of swimming,soccer or other outdoor games.The schools also arrange activities like day trips to museums and amusement parks.You’ll have a chance to improve your English and have fun at the same time!第二部分阅读理解第一节A【语篇导读】本文为一篇应用文。
第二学期高二英语期中考试(2020—2021学年度)不含答案
第二学期高二英语期中考试（2020—2021学年度）不含答案英语试卷第一部分听力（共两节，满分20分）第一节（共5小题，每小题1分，满分5分）请听下面5段对话，选出最佳选项。
每段对话仅读一遍。
1. How are the guests going to Beijing?A. By train.B. By car.C. By plane.2. Where does the conversation most probably take place?A. At a cinema.B. At a restaurant.C. At a bus stop.3. Who is probably speaking to the man?A. His wife.B. His manager.C. His mother.4. What is the time now by the man’s watch?A. 8:45.B. 8:15.C. 9:00.5. When was the woman born?A. In 1989.B. In 1991.C. In 1993.第二节（共15小题，每小题1分，满分15分）请听下面5段对话或独白，选出最佳选项。
每段对话或独白读二遍。
请听第6段材料，回答第6、7题。
6. What are the two speakers talking about?A. Radio programs.B. Language lab.C. TV programs.7. What other languages besides English are taught over the radio?A. German, Spanish, and French.B. Portuguese, Swedish and French.C. Japanese, French and German.请听第7段材料，回答第8至10题。
2020-2021学年河北省廊坊市秋强中学高二英语上学期期末试题含解析
2020-2021学年河北省廊坊市秋强中学高二英语上学期期末试题含解析一、选择题1. This is actually an anti-pattern; one of those things that _________ seem like the right idea but often later turn out to be a terrible dream.A. particularlyB. eventuallyC. initiallyD. regularly参考答案：C2. Look! What has happened. I’d rather you ______ her about the bad news.A. would not tellB. hadn’t toldC. didn’t tellD. hasn’t told参考答案：B3. It is suggested that medicine should not be kept where it is _______ to children.A acceptableB flexibleC separableD accessible参考答案：D4. _________an opposing idea effectively, you can use the following words and phrases.A. To expressB. ExpressingC. ExpressedD. Being expressed参考答案：A考查动词不定式。
句意：为了能有效地表达相反的观点，你可以用以下的词语。
根据句意可知用动词不定式作状语表示目的，故选A.5. —I'm going on a holiday tomorrow.—________.A．All the best B．Never mindC．That's all right D．The same to you参考答案：A6. In 1938, Hitler _________ war against Poland, which started the Second World War.A. declaredB. statedC. broadcastD. advertised参考答案：A略7. We were ______ on our way to the airport because of the heavy snow.A. held upB. held outC. held onD. held with参考答案：A略8. There’re more than 100 elements found in nature, are metals.A．most of which B．most of them C．most of that D．most which参考答案：A略9. The beggar’s suffering couldn’t arouse any ________ ,who had lost his shirts because of being addicted to gambling.A. satisfactionB. sympathyC. assistanceD. dignity参考答案：B10. ___ you work hard enough, an iron rod an be ground into a needle.A. As far asB. As long asC. In caseD. Even if参考答案：B考查状语从句。
河北省张家口市2024-2025学年九年级上学期期中考试语文卷(含答案)
2024-2025学年九年级上语文期中考试卷河北省张家口市2024—2025学年九年级上学期期中考试语文试卷考试范围：九年级上1-3单元；考试时间：120分钟；分值：120分注意事项：1．答题前填写好自己的姓名、班级、考号等信息2．请将答案正确填写在答题卡上第I卷（选择题）一、基础知识综合（10分）最近，年级黑板报新增了“语文角”栏目，其中呈现的内容引起不少同学关注。
你也开始注意，并试着完成下列任务。
1．栏目贴出了与多音字“和”相关的三个词语，希望有意参与者分别为“和”标音，并将词性为形容词的词语用正楷字抄写在答题卡对应处。
（2分）（1）应和（2）和蔼（3）掺和2．阅读下面文段，画线处填写成语或词语依次正确的一项是（）（2分）白求恩同志_____专门利人的精神，表现在他对工作的极端的负责任，对同志对人民的极端的热忱。
……不少的人对工作不负责任，________，把重担子推给人家，自己挑轻的。
一事当前，先替自己打算，然后再替别人打算。
出了一点力就觉得了不起，喜欢自吹，生怕人家不知道。
对同志对人民不是_______，而是冷冷清清，漠不关心，麻木不仁。
这种人其实不是共产党员。
至少不能算一个纯粹的共产党员。
从前线回来的人说到白求恩，没有一个不______，没有一个不为他的精神所感动。
晋察冀边区的军民，凡亲身受过白求恩医生的治疗和亲眼看过白求恩医生的工作的，无不为之感动。
A．毫不利己自私自利小心翼翼怅然B．毫不利己拈轻怕重满腔热忱佩服C．精益求精拈轻怕重小心翼翼怅然D．精益求精自私自利满腔热忱佩服3．阅读下面材料，根据你对内容和语言特点的把握，为第二自然段补全首句。
（2分）一个语言片段有两种或多种解释，这种现象称为语言的“歧解现象”。
语言的歧解现象，。
如“他叫张亮”这个语言片段中的“叫”，常用的词义有两个：①叫作，②呼叫。
由于这两个词义同时存在，所以产生了歧解现象。
在“他叫张亮，他的哥哥叫张明”“他叫张亮，叫了半天了”这两句话中的“他叫张亮”，就不会产生歧解现象。
河北省张家口市涿鹿中学2024_2025学年高一英语上学期11月调研期中考试试题
河北省张家口市涿鹿中学2024-2025学年高一英语上学期11月调研（期中）考试试题留意事项：1．答题前在答题卡、答案纸上填写好自己的姓名、班级、考号等信息2．请将第I卷（选择题）答案用2B铅笔正确填写在答题卡上；请将第II卷（非选择题）答案黑色中性笔正确填写在答案纸上。
第I卷（选择题100分）一．听力（共30分，每小题1.5分）第一节（共5小题；每小题1.5分，满分7.5分）请听下面5段对话，选出最佳选项。
1. What are the two speakers going to buy?A. Bread.B. Cheese.C. Eggs.2. How does the woman find the fish?A. Just so-so.B. Bad.C. Quite good.3. What does the woman mean?A. Mark should go on with the game.B. Mark should draw pictures on the computer.C. Mark should review his lessons.4. Where does the conversation take place?A. In the bookstore.B. In the library.C. In the classroom.5. Why doesn’t Jane eat her chocolate cake?A. She doesn’t like chocolate.B. She has trouble with her tooth.C. She has no tooth.其次节（共15小题; 每小题1.5分，满分22.5分）请听下面5段对话或独白，选出最佳选项。
请听第6段材料，回答第6、7题。
6. In which department can this conversation most probably take place?A. Shoe Department.B. Clothing Department.C. Jewelry Department.7. What could be the reason if the woman does not buy the overcoat?A. The color.B. The size.C. The price.请听第7段材料，回答第8至10题。
河北省2020-2021学年高二英语上学期期中试题(扫描版)
河北省2020-2021学年高二英语上学期期中试题（扫描版）英语试题参考答案第Ⅰ卷第一部分听力 (共两节，满分30分)1-5 CAABB 6-10 CACBA 11-15 BABCA 16-20 CBBCC第二部分阅读理解 (共两节，满分40分)第一节 (共15小题；每小题2分，满分30分)21-23. ADC 24-26. DBB 27-30. DCAB第二节（共5小题；每小题2分，满分10分）31-35. EFADB第三部分语言知识运用 (共两节，满分45分)第一节完形填空 (共20小题；每小题1.5分，满分30分)36-40. BCAAD 41-45. CCDAB 46-50. BDADA 51-55. CBBAC第II卷第二节语法填空（共10小题，每小题1.5分，满分15分）56.deeply 57.beneficial 58.have shown 59.less 60.to feel 61.that 62.apology 63.in 64.accepting 65.upsets第四部分写作（共两节，满分35分）第一节应用文写作 (满分15分)Dear Editor,I’m Li Hua.I am writing to discuss the traffic problem near our school gate, which is very serious now.With so many parents coming to pick up their children,traffic jams are frequent near the school gate ,causing much inconvenience to us and passers--by.I strongly recommend some effective measures be taken. First, we should encourage students to ride a bicycle or walk to school by themselves. It is also a good idea to allow junior student to leave school 10 minutes earlier than others. Besides, cars should not be allowed to park near the school gate.I do hope my suggestions can be considered and the problem can disappear soon.Yours,Li Hua 第二节概要写作（满分25分）范文：When the emperor arrived, he surveyed and greeted the young people.Ling just tried to hide in the back. “My god, what great plants, trees and flowers you have grown!” said the emperor.Suddenly, the empe ror spotted Ling at the back of the room with his empty pot. He ordered his guards to bring him to the front. Ling was terrified. "The emperor knows I’m a failure! Maybe he will have me killed!”When Ling got to the front, Emperor asked his name.“My name is Ling,” he replied. All the kids were laughing at him. The emperor asked everyone to quiet down. He then announced to the crowd, "Behold your new emperor! His name is Ling!” Ling couldn’t believe it. He couldn’t even grow his seed! Then the emperor said, “One year ago today, I actually gave you all boiled seeds which wouldn't grow. All of you, except Ling, have brought me plants because you substituted another seed for the one I gave you. Ling was the only one with the courage and honesty to bring me a po t with my seed in it.”听力录音稿Text 1M: I like drinking tea, but Max only has coffee and milk whenever we visit him. W: You can bring some with you. I’m sure he won’t mind.Text 2W: People say you should do lots of reading the day before an exam, but I think the best way to do well in an exam is relax the day before.M: Well, everyone has different opinions. I like to exercise.Text 3W: I lost my phone yesterday. That’s why I didn’t get your message. I hope I won’t have to buy a new one.M: That’s too b ad! I had a party last night and wanted you to come.Text 4W: Do you want to come to the football match? I have a spare ticket. My friend was going to come but he’s ill.M: I already have a ticket. Could I bring my sister? She’d love to see the match. W: Sure.Text 5W: Get up quickly! It’s Sunday!M: Don’t open the curtains! Can’t I sleep in today? We don’t need to go to school. W: Not a chance! It’s mom’s birthday, remember? We have a lot to do before she wakes up.Text 6M: Excuse me? I’m looking for On the Origin of Species. Do you know anything about it?W: Of course. It’s Charles Darwin’s most famous work, and one of the most important contributions to science in human history. You’ll find it in the history section.I believe we still have one copy left.M: This is my first time here. I’m afraid I’ll have difficulty finding it. Could you point me the right direction?W: Certainly. Just walk straight to the back wall. It’s just on your right.M: Thanks for your help.Text 7W: Jack, your ankle!M: Well, I fell off my skateboard just now.W: Let me take you to the school gate. Mrs. Bee will call an ambulance.M: Oh, man! Coach Jackson is going to kill me. I won’t be able to play soccer! W: Don’t think about that now. Just take a deep breath.M: How ba d is it? It’s bad, isn’t it?W: Well, it’s not good. Hey, remember that time I fell off my bike into the mud? M: Yeah, that was pretty funny.W: Do you remember what you called me?M: The mud monster, ha-ha! Thanks, I feel better already.Text 8W: Hello. Are you David?M: Yes, I called you about 20 minutes ago. Sorry to keep you waiting.W: That’s OK. Where to?M: I’ve got a 3:15 flight to catch and I’m running late. Do you think we can make it? I need to be there an hour ahead of time. Otherwise, I’ll probably miss it. W: Hmm…let’s see. I could probably take…M: Don’t take the freeway. It’s backed up to Oak Street.W: I know. If I take the side roads all the way to Johnson’s Bridge, I can get past all the heavy traffic. I think I can get there in 30 minutes.M: Really? I’ve never made it there in less than 45 minutes.W: I’m a taxi driver. I do this for a living.M: OK, then. If you can make it, I’ll give you an extra $10 tip.W: You’ve got yourself a deal!Text 9W: My sister Helen is starting a volunteer organization to help poor primary school students!M: Really? How come?W: Well, she has always loved helping others. But her husband often had to travel for work, so she stayed at home to raise their three kids. Now that they’re all grown up, she has time to do other things.M: So, she wants to start a community group?W: Yeah, it’s a kids’ center, actually. She has been thinking about it forever. M: It’s great that she can make her dream come true. But Jessica, I think people should slow things down as they get older. Running a new business and finding volunteers might be a lot for her to take on.W: Yeah, but she already told her husband about it, and he loves the idea. So doI. We’re definitely going to help, and her kids are excited to volunteer whenthey come home from college every vacation.M: Well, that’s great. Good luck with everything.Text 10As an animal doctor, I meet many kinds of animals. You may think that an animal doctor mainly sees animals that are very sick or badly treated, but that is not always the case. People who bring their pets to see an animal doctor are usually animal lovers and care greatly for their pets. In fact, it is a pity we do not get to see more animals that are really in need of treatment. Of course, most animals that I often see are cats and dogs, with a few rabbits. I treat kangaroos and snakes at the local zoo sometimes. Perhaps my biggest and strangest challenge was treating a giraffe for neck problems. It is normally quite easy to fit something to an animal to stop it bending its neck. Obviously, for a giraffe this is a big problem. I tried various pieces of plastic and metal until I came up with a solution — a very longwater pipe. My work also takes me to farms where I look after cows, sheep and so on. I think my job is very important and I like my job.。
2020-2021学年河北省张家口市高二上学期期中考试数学试题
河北省张家口市2020-2021学年高二上学期期中考试试题注意事项：1.本试卷分第I卷(选择题)和第II卷(非选择题).2.考试时间为120分钟，满分150分.3.答题前，考生务必将自己的姓名、准考证号填写在答题卡相应的位置.4.全部答案在答题卡上完成，答在本试卷上无效.第I卷(选择题共60分)一、选择题：本题共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.命题p：∀x∈R，x2＋1>3x，则⌝p是（）A.∀x∈R，x2＋1≤3xB.∀x∈R，x2＋1≥3xC.∃x∈R，x2＋1≤3xD.∃x∈R，x2＋1≥3x2.直线ax＋by＝1与圆x2＋y2＝1有两个公共点，那么点(a，b)与圆x2＋y2＝1的位置关系是（）A.点在圆外B.点在圆内C.点在圆上D.不能确定3.椭圆E：221164x y+=的左焦点为F1，过F1的直线交椭圆于A，B两点，则△ABF2的周长为（）A.4B.8C.12D.164.已知“0≤m≤t”是“x2＋y2＋x－y＋3m＝0”表示圆的必要不充分条件，则实数t的取值范围是（）A.『1，＋∞)B.(－1，＋∞)C.(－∞，1)D.(－∞，－1)5.已知椭圆M的焦点为椭圆N：2214xy+=在长轴上的顶点，且椭圆M经过(3，1)，则M的方程为（）A.22162y x +=B.22162x y +=C.2215x y +=D.2231124x y += 6.若点P (－1，－1)为圆x 2＋y 2＋6x ＝0的弦MN 的中点，则弦MN 所在直线的方程为（ ）A.2x ＋y －3＝0B.x －2y －1＝0C.x ＋2y －3＝0D.2x －y ＋1＝07.若过直线3x ＋4y －2＝0上一点M 向圆C ：(x ＋2)2＋(y ＋3)2＝4作一条切线切于点T ，则|MT |的最小值为（ ）B.48.已知椭圆22221(0)x y a b a b+=>>的离心率为5，以原点为圆心，以椭圆短半轴长为半径的圆与直线y ＝2x ＋1相切，则a ＝（ ）A.2 D.1二、选择题：本题共4小题，每小题5分，共20分.在每小题给出的选项中，有多项符合题目要求.全部选对的得5分，有选错的得0分，部分选对的得3分.9.若不等式x －2<a 成立的充分条件是0<x <3，则实数a 的取值范围可以是（ ）A.a ≥2B.a ≥1C.3<a ≤5D.a ≤210.若方程22131x y t t -=--所表示的曲线为椭圆，则下列命题正确的是（ ）A.该椭圆焦距为B.1<t <2表示焦点在x 轴上的椭圆C.t 的取值为75或135D.焦距为11.设椭圆的方程为2214x y +=，斜率为k 的直线l 不经过原点O ，而且与椭圆相交于A ，B 两点，M 为线段AB 的中点，下列结论正确的是（ ）A.直线AB 与OM 垂直B.若点M 坐标为(1，－1)，则直线l 的方程为x －4y －5＝0C.若直线l 的方程为y ＝x ＋1，则点M 坐标为(3，34) D.若直线l 过椭圆焦点，则1<|AB |<412.已知曲线C 的方程是22()()2x y x y x y-+-=，则下列结论正确的是 A.曲线C 与两坐标轴有公共点（ ）B.曲线C 既是中心对称图形，又是轴对称图形C.若点P ，Q 在曲线C .上，则|PQ |的最大值是D.曲线C 围成的面积为8＋4π第II 卷(非选择题 共90分)三、填空题：本题共4小题，每小题5分，共20分.13.方程x 2＋y 2＋2ax ＋ay ＋2a 2＋a －1＝0表示圆，则a 的取值范围是 .14.已知p ：|x －1|≥2，q ：x 2－x －a (a ＋1)>0(a >0)，若p 是q 的充分不必要条件，则实数a 的取值范围为 .15.若圆O 1：x 2＋y 2＝5与圆O 2：(x ＋m )2＋y 2＝20(m >0)相交于A ，B 两点，且两圆在点A 处的切线互相垂直，则AB 的直线方程为 .16.如图，在平面直角坐标系xOy 中，B 1，B 2是椭圆221189x y +=的短轴端点，P 是椭圆上异于点B 1，B 2的一动点，设点Q 满足：QB 1⊥PB 1，QB 2⊥PB 2，则△PB 1B 2与△QB 1B 2的面积之比为 .四、解答题：本题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.17.(10分)已知圆C 过两点A (－2，0)，B (2，4)且圆心在直线2x －y －4＝0上.(1)求该圆C 的方程；(2)求过点P (3，1)的直线被圆C 截得弦长最大时的直线l 的方程.18.(12分)已知椭圆C 1的中心在坐标原点，焦点在x 轴上.左焦点为F (－c ，0)，右顶点为A (a ，0)，短轴长为2b ，点E 的坐标为(0，c )，△EF A 的面积为22b . (1)求椭圆C 1的离心率；(2)若椭圆过(2)，求椭圆的方程.19.(12分)已知椭圆C ：22221(0)x y a b a b+=>>，过右焦点F 2且斜率为1的直线l 与圆(x －2)2＋(y －2)2＝12相切. (1)求椭圆C 的方程；(2)F 1为椭圆的左焦点，P 为椭圆上的一点，若∠PF 1F 2＝120°，求△PF 1F 2的面积.20.(12分)如图，四棱锥P －ABCD 中，底面ABCD 为菱形，AC 与BD 交于点G ，PB ＝PD.(1)求证：平面P AC ⊥平面PBD ；(2)若平面PBD ⊥平面ABCD ，∠ABC ＝60°，P A ＝AB ＝2，E 为PD 的中点，求二面角 C －DE －B 的余弦值.21.(12分)已知圆C：(x－3)2＋(y－4)2＝25，点Q的坐标为(2，2)，从圆C外一点P向该圆引切线PT，T为切点，且|PT|＝|PQ|.(1)证明：点P恒在一条定直线上，并求出定直线l的方程；(2)求直线l与椭圆2212yx+=上点的最近距离.22.(12分)已知椭圆C：22221(0)x ya ba b+=>>的右焦点为F，离心率为e＝2，过原点的直线l(不与坐标轴重合)与C交于A，B两点，且|AF|＋|BF|＝.(1)求椭圆C的方程；(2)过A作AM⊥x轴于点M，连接BM，并延长交椭圆C于N，证明以线段BN为直径的圆经过点A.——★参考答案★——。
河北省邢台市2020-2021学年高二上学期期中考试英语试题及答案
C-2F3=71-D++1<+-<,+.L2F;31K4067-C+H+0176-=-9-2A304M+ )>+,,F+;3H+7-@43,A+1N1-A+1;+273067<-217+H+017306F+3,7-;3H+,30A93A++H+040A7. >8-9,6=-91+,,D+7-D+1;40A3:-911;+,30A93A++H+040A7 )E+7.LH+2= 63= +O@+<1 J;92763= F+ ;3H+3,30A93A++H+040A.P+-<,+@30 @-D+306 <23@14@+1;+42
D97112=1-+O+2@47+3,411,+:41+H+2=63=. 听下面一段对话$回答第#"至第#!三个小题!现在$你有#I秒钟的时间阅读这三个小题! (!"#$^)
河北省张家口市张北县第一中学2022-2023学年高二上学期期中考试英语试题
河北省张家口市张北县第一中学2022-2023学年高二上学期期中考试英语试题学校:___________姓名：___________班级：___________考号：___________一、单项选择1．________ you have done might do harm to other people.A．That B．What C．Which D．This2．________leaves the room last ought to turn off the lights.A．Anyone B．The person C．Whoever D．Who3．The reason why I didn’t go to shanghai was ______ a new job.A．because I got B．because of gettingC．I got D．that I got4．The owner of the cinema needed to make a lot of improvements and employ more people to keep it running，________meant spending tens of thousands of pounds.A．who B．thatC．as D．whichA．whose B．whichC．of which D．that6．If a shop has chairs _____ women can park their men, they will spend more time in the shop.A．that B．which C．when D．where7．A big factory has been set up in this area _____ such goods for people all over the country.A．to produce B．producing C．produced D．being produced 8．It takes a whole year for the earth ______ round the sun once.A．traveling B．to travel C．traveled D．travels 9．With the guide ______ the way, we set off on foot into the dark night.A．leading B．led C．leads D．to lead 10．According to the recent survey，cancer is the leading cause of death among young adults in this area, ________ women.A．apparently B．especially C．exactly D．probably 11．Most people on this island are fishers, and ________, fishing forms an actual part of theirleisure time.A．accidentally B．purposefully C．obviously D．formallyA．strictly B．truly C．carefully D．seriously 13．You don’t have to be angry with him. He ________ wanted to know the truth.A．almost B．mostly C．merely D．hardly 14．There was nothing special about this film — it was only ______.A．particular B．average C．interesting D．strange 15．She looks very _____ but I can’t remember her name.A．similar B．familiar C．friendly D．strange二、阅读理解The Most Beautiful Seas in the WorldConsidering the most beautiful seas, it’s worth paying attention to the southern water bodies,although, without doubt,each sea is attractive and charming in its own way.The most beautiful sea in the world-Coral SeaIf we consider the beauty of the seas, and not their coasts, then the first place should be given to the Coral Sea. The Coral Sea is a dangerous place for sailors, and at the same time one of the most beautiful places for diving, and all this is due to the unique coral reefs that are at its bottom.The second place-Red SeaThe Red Sea is a truly magnificent place. It has rich fish stocks, a huge number of amazing creatures live in it, and the underwater world is exceptionally rich. Many corals live only here, and divers are strictly forbidden to break them.The third place-CaribbeanThis is the warmest exotic(异域风情的)place where not only the sea but also the plants on its coast please the eye. It’s located between North and South America, and on its shore there are a number of small countries. Many tourists come here, because rest here is inexpensive,and you can experience different cultural traditions.The fourth place -Bali SeaThe Bali Sea is located in the Pacific Ocean. This is another paradise(天堂)for relaxation，receiving many tourists every season. The sea has a warm climate, creating ideal conditionsfor relaxing on the islands of Java, Sulawesi, Sumbawa, Madura.16．For which group of people is the Coral Sea most suitable?A．Visitors hoping for beautiful and relaxing coasts.B．Swimmers looking for the best swimming pools.C．Professional divers with advanced equipment.D．Young sailors hoping to find unique coral reefs.17．Where should you go if you like various sea creatures?A．Coral Sea.B．Red Sea.C．Caribbean.D．Bali Sea. 18．Why do many visitors come to the Caribbean?A．To appreciate different cultures with less cost.B．To look for more corals and the best places to dive.C．To admire how volcanoes erupt in a short distance.D．To relax on the islands of Java, Sulawesi and so on.Born in a musical family in 1925 in New Orleans, Renald Richard spent his childhood filled with music. At the age of 13, he went to see a band perform at a church where he fell in love with trumpet. So he started lessons on it, and later played it in the high school band. After high school, he was sent into military service and played his trumpet in the United States Navy Band. After ending up studying music at Xavier University of Louisiana, he played clubs on the famous Bourbon Street and also toured with many bands.In 1954, Richard was approached by Jeff Brown, the manager of musician Ray Charles. He invited Richard to join Ray Charles’ new band. “To be selected by Ray Charles was an honor to me. Ray Charles was exacting.” said Richard, “He was a perfectionist and was rather demanding about his music.”Renald Richard toured all over the South and West with Ray Charles. Sitting in the back seat of the car on the way to a concert, Richard wrote the song “I Got a Woman” for Charles, which became Ray Charles’ first number one radio hit. In 1954,Renald Richard left Ray Charles’ band. However, he stayed friendly with Ray Charles over the years. He became the high school’s band director in his hometown until 1962. Four years later, he moved again to New York City. Over the years, Richard has written many other songs that have been recorded by artists including Joe Turner, the Beatles, the Rolling Stones and Elvis Presley to name a few. Living now in Southern Florida, Richard is still active at the age of 92. As youcan see, Renald Richard’s musical days are by no means near an end.That is today’s Celebrity Introduction. Any comments? Please write to us in the Comments Section on this page.19．How is the text organized?A．In order of time.B．In order of frequency.C．In order of preference.D．In order of importance.20．The underlined word “exacting” (Paragraph 2) is closest in meaning to___________.A．devoted B．careful C．strict D．enthusiastic 21．What would be the best title for the passage?A．A Life Filled with Music B．Active at an Advanced AgeC．The Influence of a Musician D．Renald Richard and Ray Charles 22．Where would you be most likely to find this text?A．In a textbook.B．In a brochure.C．In a newspaper.D．On a website.The $1 million Global Teacher Prize has been awarded to an American teacher, who helped to make college education accessible to low-income, immigrant, and refugee (难民) pupils. Keishia Thorpe, an English teacher in Maryland, was selected from more than 8,000 teachers in 121 countries.Ms. Thorpe teaches English to 12th-graders at the International High School Langley Park, where 95% of pupils are from low-income families. She redesigned their courses for the English department to make it culturally relevant to her pupils who are mostly from Africa, the Middle East, the Caribbean, and South America. As a consequence, her English language learners have shown a 40 percent increase in their reading.Ms. Thorpe encouraged her pupils to apply for college, helped them with their applications and even obtained fully-funded scholarships. Between 2018 and 2019, She helped her senior pupils win more than $6.7 million in scholarships to 11 colleges, with which most of them did not have to pay for their education.When it comes to the prize money, she decides to given less well-off pupils an opportunity of receiving a third level education. “Every person deserves the right to education and I want to be the person who champions that for them. I plan to donate the money to help students worldwide access higher education,” she said. “Students are the reason why I’m here, so I intend to use that to promote them and create a better future for them.”Organized by UNESCO and first awarded in 2015, the Global Teacher Prize is an annual award to a teacher who has made an enormous difference to the profession. The winner of this year was announced at a virtual ceremony in Paris on November 10th, 2021.23．How do Thorpe’s redesigned courses influence her students?A．Students have spent more time reading.B．Students are more aware of their culture.C．More low-income students attend school.D．More students apply for college education.24．What can be learned about the Global Teacher Prize?A．It contributes much to college education.B．It favors low-income immigrant teachers.C．It targets teachers with huge contributions.D．It encourages reforms in English teaching.25．Which of the following words best describes Thorpe?A．Selfless and professional.B．Caring and devoted.C．academic and considerate.D．Talented and ambitious.26．What is the best title for the text?A．A Good Teacher Ensures a Bright FutureB．Teacher Prize Helps Realize Students’ DreamC．Immigrant Teacher Shares Her Moving StoryD．High School Teacher Wins a $1 Million PrizeMickey Mouse welcomed visitors to his new home in China on June 16, 2016 as Disney opened its first theme park in the country.The park, located in the city of Shanghai, opened with fireworks.Joe Schott, president and general manager of Shanghai Disney Resort, said, “I can promise you that there is still so much left to be revealed, and I cannot wait to share it all with you in the months and years to come.”Tens of thousands streamed into Shanghai Disneyland for its debut(问世), an event that was nearly two decades in the making. The $ 5.5 billion resort(度假胜地) covers 963 acres, but Disney has already begun expansion.Company officials said they tried to reflect Chinese preferences in the new park.“We didn’t build Disneyland in China, we built China’s Disneyland,” said Bob Iger, Disney’s chairman.There’s a traditional Chinese tea house featuring local food. The Lion King performed in Mandarin for the first time, features the Monkey King and characters dressed in Chinese opera garb(服装)to appeal to an Asian audience.In the castle, guests not only walk through, as they do in other Disney parks, they can also eat and shop. When it was discovered that Chinese people didn’t have a favourite Disney princess, the company decided that the castle would feature all the princesses. Parks in California and France are based on the Sleeping Beauty story.“The visitors can learn the princesses over time, and this gives them an opportunity to have an introduction to all of the princess stories,” said executive producer Ali Rubinstein.However, China’s Disneyland sometimes are not closely related to China. Disney’s only animated film based on a Chinese story, Mulan, which tells the tale of a Chinese warrior woman, got neither its own ride nor stage show. The character appears only as a statue and afloat in the parade.27．What’s Joe Schott’s attitude to Shanghai Disney Resort?A．Disappointed.B．Concerned.C．Doubtful.D．Confident. 28．What can be learned from what Bob said in paragraph 6?A．They build the theme park in China.B．The theme park belongs to China.C．The theme park has Chinese elements.D．The theme park has a long Chinese history.29．Why does China’s Disneyland have all kinds of princesses?A．Chinese people have no certain favourite Disney princess.B．Chinese people don’t know any princess characters in Disney movies.C．Chinese people believe “the more, the better”.D．Parks in other countries are based on the Sleeping Beauty story.30．What is the purpose of giving the Mulan example?A．To show the Chinese character of Disneyland.B．To show Mulan is an important part of Chinese culture.C．To show China’s Disneyland has not reflected enough Chinese culture.D．To show Disneyland has too few Chinese character films.三、七选五To live a long and healthy life could be the dream for most of us. Unfortunately, diseases and other problems may shorten our life, making the dream impossible. 31 .We can’t control what happens around the world, but we can control what we put in our mouth. When it comes to eating, many studies have shown that a special way of eating will obviously reduce the risk of serious diseases and some cancers. 32 . Are you curious about this way of diet? Let me tell you. It is the vegetarian or plant-based diet, whose achieve-a-longer- life benefits have been proven by many health experts.Vegetarian or plant-based diets are usually rich in nutrition. They help to protect against illness and lengthen life as well. 33 . For example, they take regular exercise and avoid junk foods. These choices are very helpful in making life longer. Those who follow this way of eating usually have lower blood pressure, and lower risk of developing cancers and lower chances of heart diseases.Many researchers show that diets with these plant foods help to lengthen life because of what they contain. 34 . It is proven that diets rich in such nutrition can protect us against obesity, cancers and heart diseases, which consequently leads to good health.35 . They have a longer life than meat-eaters with fewer health issues along the way.A．Here are some useful tips for you to eat betterB．These diets contain plenty of fibre and plant proteinC．Thus, this way of diet will probably lead to a longer lifeD．Yet the vegetarian diet doesn't contain any animal productsE．However, our dream can be achieved by following a particular dietF．In a word, people who follow vegetarian diets will likely live longerG．Many people who follow this eating pattern also make healthy lifestyle choices四、完形填空his own bakery business. Young Michael Platt is the proud owner of Michael’s Desserts.Diagnosed with epilepsy (癫痫) at age 9, he 37 to cut back his involvement in sports by his doctor, and born with a(n) 38 love for sweets, he decided to change his 39 for baking into a business when he turned 11. However, this is not just a(n) 40 bakery business. It operates on a one-for-one 41 Model—for every cupcake sold he gives one to the homeless. 42 running his bakery, Michael also holds bake sales for the non-profit No Kid Hungry. Jessica Bomberg, a leader of fund-raising for the campaign, says, “Young heroes like Michael prove that everyone can make a 43 in society.”“I knew that I wanted to 44 a business, but I knew I didn’t just want to make 45 — I also wanted to help people in need at the same time,” he told the Washington Post. His business 46 creates new baked goods, which include popular cookies and cupcakes, and cupcakes have great 47 for the customers.Adrienne Allen, one of his 48 who often buys cupcakes, says that Michael’s cupcakes are not only delicious, but also have 49 her to “provide everyone with sweetness”.It is Michael’s simple act that gives hope to those who he 50 . “That’s why I give away cupcakes,” he says, “and I hope to scale my business and feed even more people.”Let’s make the world a better place, one cupcake at a time like Michael. 36．A．makes B．increases C．runs D．evaluates 37．A．was advised B．was asked C．was encouraged D．was persuaded 38．A．occasional B．critical C．abnormal D．incredible 39．A．mind B．passion C．decision D．appetite 40．A．difficult B．strange C．special D．ordinary 41．A．role B．donation C．fashion D．nation 42．A．Rather than B．Because of C．Regardless of D．Apart from 43．A．life B．contribution C．difference D．change 44．A．set up B．break up C．make up D．bring up 45．A．history B．contact C．money D．progress 46．A．apparently B．constantly C．potentially D．rarely 47．A．appeal B．sympathy C．preference D．respect 48．A．classmates B．customers C．relatives D．colleagues 49．A．inspired B．permitted C．desired D．caused 50．A．saved B．spotted C．detected D．helped五、用单词的适当形式完成短文六、邀请信61．假定你是李华，你所在的城市将举办科技展。
河北省张家口市2024-2025学年高二上学期11月期中考试数学试题含答案
2024－2025学年第一学期11月高二期中考试数学（答案在最后）考试说明：1．本试卷共150分.考试时间120分钟.2．请将各题答案填在答题卡上.一、选择题：本题共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—项是符合题目要求的.1.三点()2,2A ，()5,1B ，(),4C m 在同一条直线上，则m 的值为（）A.2B.4C.2- D.4-【答案】D 【解析】【分析】根据两点斜率表达式得到方程，解出即可.【详解】显然5m ≠，则BC AB k k =，即4112552m --=--，解得4m =-.故选：D .2.若点()1,1P 在圆22222240x y mx my m m +-++-=的外部，则实数m 的取值范围是（）A.()2,+∞B.()1,+∞C.()()0,11,+∞ D.()()0,22,+∞U 【答案】C 【解析】【分析】根据圆的一般式结合点与圆的位置关系计算即可.【详解】根据题意有()()()2222222242401122240m m m m m m m m ⎧-+-->⎪⎨+-++->⎪⎩，即()2010m m >⎧⎪⎨->⎪⎩，解之得()()0,11,m ∈+∞ .故选：C3.如图，直线1l ，2l ，3l ，4l 的斜率分别为1k ，2k ，3k ，4k ，则（）A.1234k k k k <<<B.2134k k k k <<<C.1243k k k k <<<D.2143k k k k <<<【答案】D 【解析】【分析】由图可知直线12,l l 的倾斜角为钝角，斜率为负，直线34,l l 的倾斜角为锐角，斜率为正，以及根据倾斜角的大小判断斜率的大小可得答案.【详解】直线12,l l 的倾斜角为钝角，斜率为负，且直线1l 的倾斜角大于直线2l 的倾斜角，直线34,l l 的倾斜角为锐角，斜率为正，直线3l 的倾斜角大于直线4l 的倾斜角，所以21430k k k k <<<<．故选：D.4.已知动圆过点()1,0A -，并且在圆22:(1)16B x y -+=内部与其相切，则动圆圆心的轨迹方程为（）A.22132x y += B.221169x y += C.22143x y += D.22154x y +=【答案】C 【解析】【分析】设动圆圆心为(,)P x y ，半径为R 2222(1)(1)4x y x y +++-+=，再利用椭圆的定义，即可求解.【详解】设动圆圆心为(,)P x y ，半径为R因为圆22:(1)16B x y -+=的圆心为(1,0)B ，半径为4r=，由题有r R PB -=，又动圆过点()1,0A -，得22224(1)(1)x y x y -++=-+，2222(1)(1)4x y x y +++-+=，则(,)P x y 到两定点(1,0),(1,0)-的距离之和为4，由椭圆的定义可知，点(,)P x y 在以12(1,0),(1,0)F F -为焦点，长轴长为24a =的椭圆上，因为2,1a c ==，得到2413b =-=，所以动圆圆心的轨迹方程为22143x y+=，故选：C.5.已知圆221:20C x y x +-=，圆222:40C x y mx y n ++-+=，若圆2C 平分圆1C 的周长，则m n +=（）A.2B.－2C.1D.－1【答案】B 【解析】【分析】根据两圆的方程作差求出公共弦所在直线方程，再由题中条件，得到公共弦所在直线过点1(1,0)C ，由此列出方程求解，即可得出结果.【详解】由2220x y x +-=与2240x y mx y n ++-+=两式作差，可得两圆的相交弦所在的直线为(2)40m x y n +-+=，又圆1C 的标准方程为22(1)1x y -+=，记圆心为1(1,0)C ；因为圆2C 平分圆1C 的圆周，所以公共弦所在直线过点1(1,0)C ，因此20m n ++=，所以2m n +=-.故选：B .6.如图，四棱锥P ABCD -的底面ABCD 为矩形，且1AB =，PA ⊥平面ABCD ，且E 为PC 的中点，则AE CD ⋅= （）A.13B.12C.13-D.12-【答案】D 【解析】【分析】首先利用基底{},,AB AD AP 表示向量AE，然后再根据空间向量的数量积的运算法则进行求解即可【详解】已知点E 为PC 中点，则1111122222AE AP AC AP AB AD =+=++ ，因为PA ⊥平面ABCD ，CD ⊂平面ABCD ，所以PA CD ⊥，又四边形ABCD 为矩形，所以AD CD ⊥；因此111111222222AE CD AP AB AD CD AP CD AB CD AD CD ⎛⎫⋅=++⋅=⋅+⋅+⋅ ⎪⎝⎭()110111022=+⨯⨯⨯-+=-.故选：D7.已知点(),P x y 为直线0x y +=上的动点n =，则n 的最小值为（）A.5B.6C.D.【答案】C 【解析】【分析】根据两点之间距离最小，结合点关于直线的对称性即可利用两点间距离公式求解.【详解】n =+(,)P x y 到点(2,4)B -和点(2,1)A 的距离之和，令点(2,4)B -关于直线0x y +=的对称点为(,)B a b '，则41224022b a a b -⎧=⎪⎪+⎨-+⎪+=⎪⎩，解得42a b =-⎧⎨=⎩，即(4,2)B '-，因此||||||||||n PB PA PB PA AB ''=+=+≥=，当且仅当点P 为线段AB '与直线0x y +=的交点时取等号，所以n.故选：C8.阿波罗尼斯是古希腊著名数学家，与欧几里得、阿基米德被称为亚历山大时期数学三巨匠，他对圆锥曲线有深刻且系统的研究，主要研究成果集中在他的代表作《圆锥曲线》一书中，阿波罗尼斯圆是他的研究成果之一，指的是：已知动点M 与两定点A ，B 的距离之比为(0,1)λλλ>≠，那么点M 的轨迹就是阿波罗尼斯圆.如动点M 与两定点()()0,0,2,0O A 22时，则直线:1l x =-被动点M 所形成的轨迹截得的弦长为（）A.2 B.23C.25D.27【答案】D 【解析】【分析】设(,)M x y ，利用两点间距离公式代入2MA MO=化简得到点M 的轨迹，再联立轨迹与直线:1l x =-得弦长.【详解】设(,)M x y ，()()0,0,2,0O A ，则2222(2)2MA x y MOx y-+==+，整理得22440x x y +-+=，与直线:1l x =-联立得7y =±，所以所求弦长为27.故选：D二、选择题：本题共3小题，每小题6分，共18分.在每小题给出的选项中，有多项符合题目要求.全部选对的得6分，部分选对的得部分分，有选错的得0分.9.关于空间向量，以下说法正确的是（）A.若两个不同平面α，β的法向量分别是,u v，且()1,1,2u =- ，()6,4,1v =- ，则αβ⊥B.若直线l 的方向向量为()0,4,0e = ，平面α的法向量为()3,0,2n =-，则直线//l αC.若对空间中任意一点O ，有23AP OA OB OC =+-，则P ，A ，B ，C 四点共面D.两个非零向量与任何一个向量都不能构成空间的一个基底，则这两个向量共线【答案】ACD 【解析】【分析】由面面垂直的向量表示可判断A ；由线面平行的向量表示可判断B ；根据向量共线定理，可判断C ；由空间向量基底的表示可判断D.【详解】对于A ，6420u v ⋅=--= ，所以u v ⊥，则αβ⊥，A 正确；对于B ，0e n ⋅= ，所以e n⊥，则直线//l α或者l α⊂，B 错误;对于C ，对空间中任意一点O ，有23AP OA OB OC =+-，即23OA OB O OA C OP =--+ ，则223OP OA OB OC =+-满足2231+-=，则P ，A ，B ，C 四点共面，可知C 正确；对于D ，两个非零向量与任何一个向量都不能构成空间的一个基底，则这两个向量共线，所以D 正确.故选：ACD.10.直线l 经过点()1,3，且在两坐标轴上的截距的绝对值相等，则直线l 的方程可能是（）A.30x y -=B.30x y += C.40x y +-= D.20x y -+=【答案】ACD 【解析】【分析】根据条件，分截距为0和不为0两种情况讨论，再利用点斜式和截距式，即可求解.【详解】当直线在两坐标轴上的截距均为0时，直线方程为3y x =，即30x y -=，当直线在两坐标轴上的截距不为0时，设直线方程为1(0,0)x ya b a b+=≠≠，由题有131a b a b ⎧+=⎪⎨⎪=⎩或131a b a b⎧+=⎪⎨⎪=-⎩，由131a b a b ⎧+=⎪⎨⎪=⎩，得到4a b ==，此时直线方程为144x y +=，即40x y +-=，由131a b a b ⎧+=⎪⎨⎪=-⎩，得到2,2a b =-=，此时直线方程为122x y +=-，即20x y -+=，故选：ACD.11.下列结论正确的是（）A.已知0ab ≠，O 为坐标原点，点(),P a b 是圆222x y r +=外一点，直线m 的方程是2(0)ax by r r +=>，则m 与圆相交B.直线:230l kx y k +--=与圆22:(1)9C x y +-=恒相交C.若直线:230l kx y k +--=平分圆22:(1)9C x y +-=的周长，则1k =-D.若圆222:(4)(4)(1)M x y r r -+-=>上恰有两点到点()1,0N 的距离为1，则r 的取值范围是()3,6【答案】ABC 【解析】【分析】利用点到直线距离公式计算判断A ；求出直线所过定点判断B ；求出圆心坐标计算判断C ；利用相交两圆求出范围判断D.【详解】对于A ，由点(),P a b 在圆222x y r +=外，得222a b r +>，圆心(0,0)到直线m的距离2r d r r =<=，m 与圆相交，A 正确；对于B ，直线:(2)30l k x y -+-=恒过定点(2,3)，而222(31)89+-=<，即点(2,3)在圆C 内，因此直线:230l kx y k +--=与圆22:(1)9C x y +-=恒相交，B 正确；对于C ，圆22:(1)9C x y +-=的圆心为(0,1)，依题意，点(0,1)在直线:230l kx y k +--=上，则1230k --=，解得1k =-，C 正确；对于D ，依题意，以()1,0N 为圆心，1为半径的圆与圆M 相交，而圆M 的圆心为()4,4，半径为r ，则11r MN r -<<+，又5MN ==，151r r -<<+，解得46r <<，D 错误.故选：ABC三、填空题：本题共3小题，每小题5分，共15分.12.平面内，已知两点()13,0F -，()23,0F 及动点M ，若直线1MF ，2MF 的斜率之积是3-，则点M 的轨迹方程为______．【答案】221(3)927x y x +=≠±【解析】【分析】设动点(,)M x y ，斜率用坐标表示，由斜率之积为3-可得出,x y 之间的关系式，进而得M 的轨迹方程.【详解】设动点M 的坐标为(,)x y ，又()13,0F -，()23,0F ，所以1MF 的斜率1(3)3MF y k x x =≠-+，2MF 的斜率2(3)3MF y k x x =≠-，由题意可得3(3)33y y x x x ⨯=-≠±+-，化简，得点M 的轨迹方程为221(3)927x y x +=≠±.故答案为：221(3)927x y x +=≠±13.已知圆22:(1)(3)8M x y -++=与圆22:(3)(1)8N x y ++-=，则圆M 和圆N 的一条公切线的方程为_______.【答案】0x y -=；20x y +-=；60x y ++=（三个任意一个都算正确）【解析】【分析】先判断两个圆的位置关系，再判断公切线的条数，然后求公切线即可.【详解】由题可知：()()1,3,3,1M N --所以MN ==两个圆的半径和为+=所以两个圆外切，所以有三条公切线,设公切线为y kx b =+由圆心到切线的距离等于半径得==解得10k b =⎧⎨=⎩或12k b =-⎧⎨=⎩或16k b =-⎧⎨=-⎩所以切线方程为y x =，2y x =-+或6y x =--故答案为：0x y -=；20x y +-=；60x y ++=14.在棱长为2的正方体1111ABCD A B C D -中，点P 满足1AP AA AB λ=+，点Q 满足1AQ AA AB AD μ=++，其中[]0,2λ∈，[]0,2μ∈当μ=________时，DP BQ ⊥．【解析】【分析】将点P 和点Q 满足的向量式转化，分析得出P ,Q 的位置，然后利用线面垂直的判定以及性质即可求得答案.【详解】111AP AA AB AP AA AB A P AB λλλ=+⇔-=⇔=，又[]0,2λ∈，所以点P 在射线11A B 上；11111AQ AA AB AD AQ AA AC AQ AC AA CQ AA μμμμ=++⇔=+⇔-=⇔=，又[]0,2μ∈，所以点Q 在射线1CC 上；因为当λ变化时，DP ⊂平面11A B CD ，故只需考虑过B 且与平面11A B CD 垂直的线，因为正方体有11A B ⊥平面11BB C C ，而1BC ⊂平面11BB C C ，所以111,A B BC ⊥又11,BC B C ⊥，1111111,,A B B C B A B B C =⊂ 平面11A B CD ，所以1⊥BC 平面11A B CD ，DP ⊂平面11A B CD ，所以1BC DP ⊥，所以当点Q 在1C 上时DP BQ ⊥，即1μ=时DP BQ ⊥，故答案为：1.四、解答题：本题共5小题，共77分.解答应写出文字说明、证明过程或演算步骤.15.已知ABC V 的顶点()3,2A -，若AB 边上的中线CM 所在直线方程为10x y -+=，AC 边上的高线BN 所在直线方程为530x y +-=．（1）求顶点B 的坐标；（2）求直线BC 的方程．【答案】（1）()1,2-（2）570x y --=【分析】（1）设()00,B x y ，则0032,22x y M -+⎛⎫ ⎪⎝⎭，根据已知列出方程组，求解即可得出答案；（2）根据已知求出直线AC 的方程，进而联立方程得出C 的坐标，代入两点式方程化简即可得出答案.【小问1详解】设()00,B x y ，则0032,22x y M -+⎛⎫⎪⎝⎭，由已知可得0000530321022x y x y +-=⎧⎪⎨-+-+=⎪⎩，解得0012x y =⎧⎨=-⎩，所以点B 的坐标为()1,2-.【小问2详解】由已知可设直线AC 的方程为50x y m -+=，又点A 在直线上，所以有3100m --+=，解得13m =，所以，直线AC 的方程为5130x y -+=.联立直线AC 与CM 的方程513010x y x y -+=⎧⎨-+=⎩可得，C 点坐标为2,3.将,B C 坐标代入两点式方程有213221y x +-=+-，整理可得，570x y --=.16.已知()4,2P -，()1,3Q -，(0,T 在圆C 上．（1）求圆C 的标准方程；（2）若直线//l PQ ，且l 与圆C 交于点A 、B ，O 为坐标原点，90AOB ∠=︒，求直线l 的方程．【答案】（1）22(1)13x y -+=（2）30x y ++=或40x y +-=【解析】【分析】（1）先设圆C 的标准方程为222()()x a y b r -+-=，根据条件建立方程组，求出,,a b r ，即可求解；（2）根据条件设直线方程为0x y m ++=，联立直线与圆的方程得222(22)120x m x m +-+-=，由韦达定理得21212121,2m x x m x x -+=-=，进而可求得2122122m m y y +-=，结合条件12120x x y y +=，即可求解.【小问1详解】设圆C 的标准方程为222()()x a y b r -+-=，因为()4,2P -，()1,3Q -，(0,T 在圆C 上，所以222(4)(2)a b r -+--=①，222(1)(3)a b r --+-=②，222())a b r -+=③，由①②③解得1,0,a b r ===，所以圆C 的标准方程22(1)13x y -+=.【小问2详解】因为3(2)114PQ k --==---，又直线//l PQ ，不妨设l 为0x y m ++=，由()220113x y m x y ++=⎧⎪⎨-+=⎪⎩，消y 得222(22)120x m x m +-+-=，则22(22)8(12)0m m ∆=--->，即22250m m --+>，设1122()A x y B x y ,,(,)，则21212121,2m x x m x x -+=-=，所以222221212121212212()()()22m m m y y m x m x m m x x x x m m m -+-=----=+++=+-+=，又90AOB ∠=︒，则OA OB ⊥ ，又1122(,),(,)OA x y OB x y == ，所以12120x x y y +=，得到2221212022m m m --+=+，即2120m m +-=，解得3m =或4m =-（均满足0∆>），所以直线l 的方程为30x y ++=或40x y +-=.17.已知椭圆22:184x y C +=的左，右焦点分别为1F ，2F ，P 为椭圆C 上一点．（1）当P 为椭圆C 的上顶点时，求12F PF ∠的大小；（2）直线()2y k x =-与椭圆C 交于A ，B ，若1627AB =，求k 的值．【答案】（1）π2（2）3【解析】【分析】（1）根据条件得21(2,0),(2,0),(0,2)F P F -，从而可得2221212F F PF PF =+，即可求解；（2）联立直线与椭圆方程，消y 得2222()128880k x k x k +-+-=，再利用弦长公式，即可求解.【小问1详解】因为椭圆方程为22184x y +=，则22,2a b ==，842c =-=，所以21(2,0),(2,0),(0,2)F P F -，又121224,2F F c PF PF ====2221212F F PF PF =+，所以12π2F PF ∠=.【小问2详解】设1122()A x y B x y ,,(,)，由()221842x y y k x ⎧+=⎪⎨⎪=-⎩，消y 得2222()128880k x k x k +-+-=，则42226432(12)(1)32(1)0k k k k ∆=-+-=+>，由韦达定理知22121222888,1212-+==++k k x x x x k k ，由求根公式可得221232(1)12k x x k +-=则22221232(1)16211127k AB k x k k +=+-=+=，化简得到23k =，解得3k =.18.如图所示，四棱锥P ABCD -的底面ABCD 是矩形，PB ⊥底面ABCD ，3AB BC BP ===，2AE ED =.（1）在PC 上找一点F ，使得//EF 平面ABP ；（2）在（1）的条件下，求平面ADF 与平面ABCD 夹角的余弦值.【答案】（1）F 为PC 的三等分点，且2PF FC=（2【解析】【分析】（1）当F 为PC 的三等分点，且2PF FC =，在CB 上取点H ，且13CH CB =，利用几何关系可得//FH PB ，//EH BA ，从而可得面//HEF 面ABP ，再利用面面平行的性质即可说明结果成立；（2）建立空间直角坐标系，求出平面ADF 与平面ABCD 的法向量，再利用面面角的向量法，即可求角.【小问1详解】当F 为PC 的三等分点，且2PF FC =时，//EF 平面ABP ，理由如下，在CB 上取点H ，使13CH CB =，连接,FH EH ，因为13CF CHCP CB ==，所以//FH PB ，又FH ⊄平面ABP ，PB ⊂平面ABP ，所以//FH 平面ABP ，又因为2AE ED =，即13DE DA =，所以//EH BA ，又EH ⊄平面ABP ，AB ⊂平面ABP ，所以//EH 平面ABP ，又,,EH HF H EH HF ⋂=⊂面HEF ，所以面//HEF 面ABP ，又EF ⊂面HEF ，所以//EF 平面ABP .【小问2详解】因为PB ⊥底面ABCD ，底面ABCD 是矩形，建立如图所示的空间直角坐标系，又3AB BC BP ===，则(0,3,0),(3,3,0),(2,0,1)A D F ，所以(3,0,0)AD = ，(2,3,1)AF =-，设平面ADF 的一个法向量为(,,)n x y z =，则30230n AD x n AF x y z ⎧⋅==⎪⎨⋅=-+=⎪⎩ ，取0,1,3x y z ===，所以(0,1,3)n = ，易知平面ABCD 的一个法向量为(0,0,1)m = ，设平面ADF 与平面ABCD 的夹角为θ，则cos cos ,10n m n m n m θ⋅====⋅ ，所以平面ADF 与平面ABCD夹角的余弦值为10.19.已知椭圆C 的中心在原点，焦点在x 轴上，离心率为12，短轴长为（1）求椭圆C 的标准方程；（2）已知点1A ，2A 分别为椭圆的左、右顶点，P 为椭圆C 上异于1A ，2A 的动点，()3,0N -，直线PN 与曲线C 的另一个公共点为Q ，直线1A P 与2A Q 交于点M ，求证：当点P 变化时，点M 恒在一条定直线上．【答案】（1）22143x y +=；（2）证明见解析.【解析】【分析】（1）根据给定条件，求出椭圆知半轴长，结合离心率求出长半轴长即可.（2）设直线PQ 的方程为：3x my =-，()()1122,,,P x y Q x y ，联立直线与椭圆，再表示出直线又直线1A P 与2A Q 的方程，联立求出交点，即可计算推理得证.【小问1详解】设椭圆C 的标准方程为22221(0)x y a b a b+=>>，由短轴长为b =，由离心率为12，得12a ==，解得2a =，所以椭圆C 的标准方程为22143x y +=.【小问2详解】设直线PQ 的方程为：3x my =-，()()1122,,,P x y Q x y ，而12(2,0),(2,0)A A -，由223143x my x y =-⎧⎪⎨+=⎪⎩消去x 得：22(34)18150m y my +-+=，22232460(34)48(35)0m m m ∆=-+=->，则1212221815,3434m y y y y m m +==++，121252()3my y y y =+，又直线1PA 的方程为：11(2)2y y x x =++，即11(2)1y y x my =+-，又直线2QA 的方程为：22(2)2y y x x =--，即22(2)5y y x my =--，由1122(2)1(2)5y y x my y y x my ⎧=+⎪-⎪⎨⎪=-⎪-⎩，得2121122121212121042()(5)2(25)43335553y y y y my y y y x y y y y y y ----====--+-+-+，所以当点P 运动时，点M 恒在定直线43x =-上.。
2020-2021学年高二上学期英语期中考试卷含答案
2020-2021学年⾼⼆上学期英语期中考试卷含答案I 语⾔知识及应⽤(共两节，总分值45分)第⼀节完形填空(共15⼩题；每题2分，总分值30分)阅读下⾯短⽂，掌握其⼤意，然后从1～15各题所给的A、B、C和D项中，选出最正确选项，并在答题卡上将该项涂⿊。
There was once a great war between two countries. The war had been going on for some time and the soldiers were starting to feel 16 the long battle.On a hot afternoon, a man was 17 past a small group of soldiers digging a huge pit (坑). The group leader was shouting orders and threatening 18 if the work was not completed within the hour. The man riding the horse 19 and asked，〝Sir, why are you only shouting orders? Why cannot you help them yourself?〞The group leader looked at him and replied, 〝What do you ? I’m the leader. The men do as I 20 them to.〞He then added,〝If you feel so strongly about helping them, you are 21 to do so yourself!〞The man got down and started walking up to the soldiers at work. He took up the 22 and worked with them till the job was 23! Before leaving, the man congratulated the soldiers on their work, and 24 thegroup leader. He said, 〝Next time your 25 prevents you from supporting your people, you should inform your 26 authorities, and I will provide a more permanent solution.〞The group leader was now completely surprised. Only now he looked 27 at the man and realized the man was the army general!The army general exhibited some of the key 28 that are important for a true leader. There are 29 people who are ready to really help get the work done. They 30 the status of the leader but not the state of the leader.16. A. astonished at B. tired of C. frightened of D. embarrassed at17. A. walking B. riding C. driving D. running18. A. illness B. battle C. punishment D. death19. A. stopped B. waited C. stayed D. doubted20. A. remind B. tell C. beg D. invite21. A. sure B. lucky C. ready D. welcome22. A. tools B. guns C. clothes D. bricks23. A. improved B. lost C. finished D. allowed24. A. interviewed B. answered C. testedD. approached25. A. people B. order C. leader D. status26. A. richer B. higher C. cleverer D. smaller27. A. frequently B. closely C. seriously D. firmly28. A. problems B. courses C. qualities D. speeds29. A. few B. some C. most D. many30. A. achieve B. call C. prepare D. collect第⼆节语法填空(共10⼩题；每题1.5分，总分值15分)阅读下⾯短⽂，按照句⼦结构的语法性和上下⽂连贯的要求，在空格处填⼊⼀个适当的词或使⽤括号中词语的正确形式填空，并将答案填写在答题卡标号为16～25的相应位置上。