2017-2018学年河南省实验中学高二上学期期中考试 英语 Word版

河南省实验中学2016——2017学年下期期中试卷高二 文科数学命题人：白文明 程建辉 审题人：陈星（时间：120分钟，满分：150分）一、选择题（本大题共12小题，每小题5分，满分60分，在每小题给出的四个选项中，只有一项是符合题目要求的） 1.若复数满足，则的实部为（ ） A. 3 B.C. 4D.2.用反证法证明：“,a b 至少有一个为0”，反设正确的是（ ） A.,a b 两个都为0 B.,a b 只有一个为0 C.,a b 至多有一个为0 D.,a b 没有一个为03. 曲线在点处的切线方程为（ ）A.B.C.D.4.若(12)1ai i bi +=-，其中a 、b ∈R ，i 是虚数单位，则||a bi += ( )A ．12i + B C D ．545.汽车经过启动、加速行驶、匀速行驶、减速行驶之后停车，若把这一过程中汽车的行驶路程s 看作时间t 的函数，其图象可能是 ( )6.下列关于流程图和结构图的说法中不正确的是 ( ) A ．流程图用来描述一个动态过程 B ．结构图是用来刻画系统结构的C ．流程图中只能用带箭头的流程线表示各要素的先后关系D ．结构图中只能用方向箭头表示各要素之间的从属关系或逻辑上的先后关系7.执行如图所示的程序框图，若输入的a 值为1，则输出的k 值为（ ） A.1 B.2 C.3 D.48.一同学在电脑中打出如下若干个圈:○●○○●○○○●○○○○●○○○○○●… 若将此若干个圈依此规律继续下去,得到一系列的圈,那么在前120个圈中的●的个数是（ ）A ．12B ． 13C ．14D ．159. 一名法官在审理一起珍宝盗窃案时，四名嫌疑人甲、乙、丙、丁的供词如下，甲说：“罪犯在乙、丙、丁三人之中”：乙说：“我没有作案，是丙偷的”：丙说：“甲、乙两人中有一人是小偷”：丁说：“乙说的是事实”.经过调查核实，四人中有两人说的是真话，另外两人说的是假话，且这四人中只有一人是罪犯，由此可判断罪犯是（ ） A. 甲 B. 乙 C. 丙 D. 丁 10.若函数b bx x x f 36)(3+-=在（0，1）内有极小值，则实数b 的取值范围 ( )A ．(0,1)B ．(,1)-∞C (0,)+∞D ．1(0,)211.底面为等边三角形的直棱柱的体积为V ，则其表面积最小时，底面边长为 ( ) A ．34V B ．32V C ．3VD ．23V12.奇函数()f x 定义域为()(),00,ππ- ，其导函数是()'f x .当0x π<<时，有()()'sin cos 0f x x f x x -<，则关于x 的不等式()sin 4f x x π⎛⎫< ⎪⎝⎭的解集为（ ）A ．,4ππ⎛⎫ ⎪⎝⎭B ．,0,44πππ⎛⎫⎛⎫- ⎪ ⎪⎝⎭⎝⎭C ．,00,44ππ⎛⎫⎛⎫- ⎪ ⎪⎝⎭⎝⎭D ．,,44ππππ⎛⎫⎛⎫-- ⎪ ⎪⎝⎭⎝⎭二、填空题：（本大题共4小题，每小题5分，共20分）．13.三次函数f (x )＝mx 3－x 在(－∞，＋∞)上是减函数，则m 的取值范围是． 14.若关于x 的方程2(12)30x i x m i ++++=有实根，则实数m 等于． 15. 已知a ，b ，c 是△ABC 的三边，若满足a 2+b 2=c 2，即，△ABC 为直角三角形，类比此结论：若满足a n+b n=c n（n ∈N ，n ≥3）时，△ABC 的形状为 ．（填“锐角三角形”，“直角三角形”或“钝角三角形”）．()()()则，，其导函数记为已知函数x f x xx x f '221sin 1.16+++=''(2017)(2017)(2017)(2017)f f f f ++---=___________.三、解答题（本大题共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.(12分) 已知复数z 满足: 13z i z =+-．（1）求z 并求其在复平面上对应的点的坐标； （2）求22(1)(34)2i i z++的共轭复数.18．(12分）一次考试中,五名学生的数学、物理成绩如下表所示:(1)要从590分的概率;(2)求这些数据的线性回归方程ˆˆˆybx a =+. 参考公式：1122211()()ˆˆˆ,()nnii i ii i nniii i xx y y x ynx y bay bx xx xnx ====---===---∑∑∑∑ 19. (12分）（1）已知ab 、是不相等正常数，x y 、是正实数，求证()222a b a b x yx y ++≥+，并指出等号成立的条件；（2）求函数()2910,122f x x x x ⎛⎫⎛⎫=+∈ ⎪ ⎪-⎝⎭⎝⎭的最小值，指出取最小值时x 的值.20.(12分） 微信是现代生活中进行信息交流的重要工具.据统计，某公司200名员工中90%的人使用微信，其中每天使用微信时间在一小时以内的有60人，其余的员工每天使用微信时间在一小时以上，若将员工分成青年（年龄小于40岁）和中年（年龄不小于40岁）两个阶段，那么使用微信的人中75%是青年人.若规定：每天使用微信时间在一小时以上为经常使用微信，那么经常使用微信的员工中都是青年人.（1）若要调查该公司使用微信员工经常使用微信与年龄的关系，列出并完成2×2列联 表：（2）由列联表中所得数据判断，是否有99.9%的把握认为“经常使用微信与年龄有关”？ （3）采用分层抽样的方法从“经常使用微信”的人中抽取6人，从这6人中任选2人，求选出的2人，均是青年人的概率. 附：．21.(12分）设.（1）令，求的单调区间； （2）当时，证明：.请考生在第22,23题中任选一题做答，如果多做，则按所做的第一题计分，做答时请写清楚题号.22.(10分)选修4-4：坐标系与参数方程在直角坐标系中,以原点为极点,x 轴的正半轴为极轴建坐标系,已知曲线2:sin 2cos (0)C a a ρθθ=>;过点(2,4)P --的直线l 的参数方程为224x y ⎧=-+⎪⎪⎨⎪=-⎪⎩(t 是参数),直线l 与曲线C 分别交于M 、N 两点.(1) 写出曲线C 和直线l 的普通方程;(2) 若||,||,||PM MN PN 成等比数列,求a 的值.23.（10分）选修45-：不等式选讲已知函数)(|6|||)(R m x m x x f ∈++-= (1)当m=5时,求不等式()12f x ≤的解集；(2)若不等式7)(≥x f 对任意实数x 恒成立,求m 的取值范围.河南省实验中学2016——2017学年下期期中考试高二文科参考答案一、选择题1-6 DDDCAD 7-12 BCBDAB 二、填空题 13. (),0-∞ 14.11215.锐角三角形 16. 2 三、解答题17.（1）()3,4-；（2）i 43-. 【解析】（1）设(,)z x yi x y R =+∈13()(1)(3)i x yi x y i =+-+=-+-，103x y=-∴=-⎪⎩，解得4433x z i y =-⎧∴=-+⎨=⎩，其在复平面上对应的点的坐标为(4,3)-…………6分 （2）由（1）知22(1)(34)2(92416)247433422(43)43i i i i iz i iz i i++⨯+-+=-+∴===+-+-，i z 43-=.。

河南省实验中学2017——2018学年上期期中试卷高二 物理命题人：张颖婕 杨磊 审题人：赵理森（时间：90分钟，满分：100分）一、选择题(本大题共12小题,每小题4分,共48分。

每小题给出的四个选项中，第1-8题只有一项符合题目要求，第9-12题有多项符合题目要求，全部选对的得4分，选对但不全的得2分，有选错或不答的得0分。

)1.物理学家通过对实验的深入观察和研究，获得正确的科学认知，推动物理学的发展，物理学的许多发明创造广泛应用于社会生产和生活中，下列说法中正确的是A.静电复印、静电喷漆和静电植绒都应用了静电屏蔽的原理B.燃气灶中的电子点火器应用了尖端放电的原理C.安培提出了场的概念并引入磁场线描述磁场D.奥斯特提出的分子电流假说可以解释铁棒被磁化的原因2．如图所示，真空中固定两个等量的正、负点电荷，O 点为两点电荷连线中点。

过O 点的中垂线上有关于O 点对称的A 、B 两点，关于电场强度和电势的判断，正确的是A ．A 、O 、B 三点电场强度相同 B ．A 、O 、B 三点电势相同C ．O 点电场强度为零D ．O 点电势大于A 、B 两点电势3.地球的周围存在地磁场，能有效地改变射向地球的宇宙射线的方向，使它们不能到达地面，从而保护地球上的生命。

假设有一束带正电的宇宙射线粒子垂直于地面向赤道射来（如图，地球由西向东转，虚线表示地球自转轴，上方为地理北极），不考虑粒子受到的其他力的作用，只在地磁场的作用下，粒子在进入地球周围的空间时，其偏转方向以及速度大小的变化情况是A.相对于预定地点向东偏转，速度变大B.相对于预定地点向西偏转，速度变大C.相对于预定地点向东偏转，速度大小不变D.相对于预定地点向西偏转，速度大小不变4．如图所示，图中虚线为匀强电场中与场强方向垂直的等间距平行直线，两个粒子M 、N 质量相等，所带电荷的绝对值也相等。

现将M 、N 从虚线上的O 点以相同速率射出，两粒子在电场中运动的轨迹分别如图中两条实线所示，点a 、b 、c 为实线与虚线的交点，已知O 点电势高于c 点。

2017 年秋学期期中学业质量抽测七年级英语试题卷2017.11第Ⅰ卷（客观题共65分）一、听力测试听录音，根据各部分要求选择正确答案，并将答案填在答题卷上相应的空格内。

（本大题共 20 分）(一 ) 根据你所听到的内容，选择正确的选项。

（本大题共 5 分，每小题0.5 分）1. A. /ki:p/ B. /k?p/ C. /k ?p/2. A. /lu:n/ B. /mu:n/ C. /nu:n/3. A. talk B. lake C. wake4. A. wish B. wash C. with5. A. green B. grade C. greet6. A. there B. these C. three7. A. at 9:05 B. at 9:15 C. at 9:508. A. in the hill B. in the hall C. in the house9. A. turn off B. get off C. take off10. A. Let ’s go and see. B. Let me see. C. Let ’s wait and see.(二 ) 根据你所听到的内容，选择对应的图片，将其字母序号填在相应的答案空格内。

（本大题共 5 分，每小题 1 分）A. B. C.D. E.11.12.13.14.15.(三 ) 根据你所听到的问题，选择相应的答语。

（本大题共5 分，每小题 1 分）16. A. November 16. B. Thursday. C. It ’s fine today.17. A. Some juice. B. Some apples. C. Some rice.18. A. 8 hours. B. Every week. C. No, it doesn ’ t.19. A. No, he isn ’ t. B. Yes, I am. C. Yes, I do.20. A. OK, I ’d love to. B. Yes, please. C. Sorry. I ’m not.(四 ) 根据你所听到的，正确的。

河南省安阳市林州市第一中学2024-2025学年高三上学期8月月考英语试题一、听力选择题1．At what time will the flight arrive?A．1:00 pm.B．1:30 pm.C．2:30 pm.2．Why was Marvin away?A．Because he was on sick leave.B．Because he had to look after his father.C．Because he went sightseeing in Argentina.3．What does the woman agree to do?A．Take a train.B．Change the seats.C．Sit next to her mom. 4．What does the man mean?A．The major is unfit for him.B．He is unwilling to take a test.C．He wants to be a news reporter.5．What will Peter do after dinner?A．Play football.B．Go home.C．Watch a match.听下面一段较长对话，回答以下小题。

6．Who is the new exchange student?A．Li Yang.B．Tara.C．Lucy.7．Where is Redding?A．In California.B．In Tokyo.C．In New Delhi.听下面一段较长对话，回答以下小题。

8．When did the woman start running in the park?A．Today.B．One month ago.C．One year ago.9．What is Plogging according to the man’s introduction?A．A global trend that started this year.B．An activity for the benefit of marathon runners.C．A new trend combining picking up trash and running.10．Why is Plogging becoming popular?A．Because of the good effect of losing weight.B．Because of the desire to be close to nature.C．Because of the increasing awareness of the plastic problems.听下面一段较长对话，回答以下小题。

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三I. Choose the best answer to complete each sentence.(15%)1.Jack is ____ look after himself.A. enough old toB. old enough toC. enough big toD. big enough to2.Are there ______ books on the desk?A. someB. anyC. aD. an3. How much do I have to pay for these______?A. togetherB. together withC. in totalD. total4. Aunt Li often asks her son_____ too much meat. ’Its bad for his health.A. don’teatB. not to eatC. not eatD. to not eat5.Your backpack is very nice._______.A. Yes, you’re right.B. Don’t say like thatC. Thank youD. Where is the backpack6.Can you give a 30% _____ for this computer?A. countB. countsC. discountD. discounts7.The child is_____ young _____ go to school.A. to; toB. to; tooC. too; toD. too; too8.You should________A. give up smokeB. give smokingC. give up smokingD. give smoke9.LeiFeng_____ a good example to us.A. give up smokeB. getC. setD. let10. He _____ his mother’s health.A. worry aboutB. be worried aboutC. is worried aboutD. is worry about11. He often ___ to school.A. on feet B. by feet C. on foot D. by foot12.School is_______, let’s go home.A. overB. beginC. offD. on13.He didn’tearn _____ money, so his son disliked him.A. muchB. manyC. littleD. few14.When they are different_____ others.A. fromB. formC. toD. of15.The mother______ her son because he is very excellent.A. is proud forB. is proud ofC. is pride ofD. is pride forII. Choose the best answer for each blank to complete the passage.(10%)Peter and Mike were in 16 class. Peter was born in a 17 family. But Mike’s father was a businessman and got 18 money. When Peter got into trouble he always helped him.Peter liked to have sports. He was good at 19. He ran 20 than any others in their class. It was Sunday. Mike and Peter went to a forest to have a picnic. Mike took a lot of food there. It was a 21 day. The birds were singing and there were all kinds of flowers. They ate and drank then went 22 in the river. They had a good time. Suddenly they heard a great noise. They found it was a tiger behind a big tree. They were both very 23. Peter put on his shoes quickly and was going to run away. Mike stopped him and said, “It’s no use for us. The tiger runs 24 faster than us. Let ’s find a way. ”“It doesn’matter.”said Peter. I’m “25 I’ll run faster than you.”()16.A. same B. different C. difference D. the same( B. happy C. poor D. bad( B. lot C. any D. much( B. running C. run D. runs( B. faster C. fastest D. best( B. rain C. rained D. sunny()22. A. fish B. to fishing C. fishing D. fished( B. afraid C. sad D. exciting( B. much C. many D. little()25. A. afraid B. worried C. sure D. gladplete the dialogue with the following correct expressions.(5%)A: What can I do for you?B: I want a T-shirt for my father.A: 26 ? This kind of T-shirt sells well.A. Could you please help me?B: It looks nice. I think my fatherB. How much is it?will like it.C. That’stoo expensive.A. 27 ?D. What color do you want?B: Size XXL.E. Here is the money.A: 28 ? We have T-shirts in different colors,, F. How do you like this T-shirt?such as white , black, yellow and blue.G. What size does your father wear?B: Yellow. 29 ?A: One hundred and twenty yuan.B: OK. I ’ll take it. 30 .A: Thank you.IV. Read the following passages and then choose the best answer for each blank.(30%)（A ）A small boy and his father were having a walk in the country when it began to rain. They did not have raincoats（雨衣） or umbrella（伞） with them and there was not any place to hide（潜藏） from the rain, so they had to walk home. Soon they were all wet. On their way home, the boy asked his father, “Dad, why does it rain? It isn ’tvery nice, isn’tit?”“No, it isn ’tvery nice, but it ’s useful,”answered the father. “It rains to make the flowers and vegetables grow for us, and to make the grass grow the sheep”.The boy thought about this for a moment, then he said, “Then why does it rain on the road too, Father?”()31.The man and_____ were taking a walk in the country.A. his sonB. his daughterC. his fatherD. his friend()32. They were soon all wet because they________.A. had no raincoats or umbrellas with themB. liked walking in the rainC. could not find a place to hide from the rainD. Both A and C()33.It seemed that the boy______A. did not like the rainB. did not like his fatherC. was happy with the rainD. felt too tired to walk home()34. The father tried to tell the boy ______.A. why the rain was not niceB. how flowers and vegetables grewC. what the use of the rain wasD. where it usually rained()35.The boy said, “Then why does it rain on the road too, Father?”It seemed that_____A. there was no rain on the road thenB. he did not agree with his fatherC. he agreed with his fatherD. he still did not understand why it did not rain on theroad （B）Mrs Green was eighty, buy she had a small car, and she always drove to the shops in it on Saturday and bought her food.She did not drive fast, because she was old, but she drove well and never hitanything. Sometimes her grandchildren said to her, “Please don’tdrive for fifty years, and I ’m not going to stop now.”Last Saturday she stopped her car at some traffic lights because they were red, and then it did not start again. The lights were green , the yellow, then red, then green again, but the car did not start.“What am I going to do now?”she said.But then a policeman came and said to her kindly, “Good morning. Don’tyou like any of our colors today?”()36.Mrs Green usually went to buy food_______.A. on SaturdayB. on FridayC. on SundayD. at the weekend()37.Mrs. Green didn’tdrive her car fast to the shops because_______A. she was not busyB. she was eightyC. she has an old carD. she was not good at driving()38.If Mrs. Green needed something, ___________.A. she would ask her grandchildren to buy it for herB. she would ask her son to give her helpC. she would buy it herselfD. she has it sent to her home()39.Why didn’ther car start again when the lights turned green?Because_____A. there was something wring with itB. she didn’tsee the lights clearlyC. she didn’tknow how to start itD. she wanted to have a rest there()40.When the policeman saw this, he______.A. was very angryB. gave the old woman helpC. shouted at her and told her to leaveD. went over and asked why she didn’tgo(C)A MenuHere is a menu in a fast food restaurant. The prices are in American money, called dollars and cents. There are 100 cents in a dollar.Main Meals Small Large Drinks Small LargeHamburger 1.80 2.30Cola0.80 1.00 Hamburger with cheese 2.00 2.50Orange juice0.90 1.20 Chicken burger 1.90 2.40Tea0.700.90Vegetable burger 1.80 2.30Coffee0.80 1.00Side Dishes(配菜 )SweetsFries0.90 1.10Ice cream, or 1.20 1.60chocolateSalad 1.00 1.20Apple pie(hot)0.70/ Chick wings( 鸡翅 ) 1.30 1.60Donuts(面包圈）0.50/or jam()41.How much does a small hamburger and a large cola cost?A. One dollar and eighty centsB. Two dollars and thirty centsC. Two dollars and sixty centsD. Two dollars and eighty cents.()42.If you have only three dollars , what can you buy?A.A large salad and a large ice creamB.A large chicken burger and a small cup of teaC.A small vegetable burger and a large chocolateD.A small cola and a large hamburger with cheese.()43.Which is not sold in this restaurant?A. CoffeeB. FriesC. HamburgerD. Wine()44.Which of the following is the most expensive main meals?A.A small hamburgerB. A large hamburgerC. A large chicken burgerD. A small vegetable burger.()45.How much would you have to pay, if you want a large chicken burger, a large cola and a small ice cream?A. Four dollars and sixty cents.B. Four dollars and fifty centsC. Four dollars and forty cents.D. Four dollars and thirty cents.V. Translate the following phrases.(20%)46.认真考虑 _______________47. 花销、、、做某事 _______________ 48.电视迷 _______________49. 好好利用 _______________50.网吧 _______________51. 清醒过来 _______________52.开车兜风 _______________53. 同时 _______________54.烦忧 _______________55.夸耀 _______________56.the Great Wall_______________57.by hand_______________58.beacon tower_______________ play_______________60.pick up___________61.English Speech Contest ____________62.shopping plaza_______________ 63.credit card_______________64.in cash_______________ 65.traffic light_______________VI. Translate the sentences into Chinese(66-70) and put the Chinese in the brackets into English to complete the sentences.(71-75)(20%)66.The Great Wall is located in the north of China.________________________________________________ 67.Chinese silk blouses are in style now.________________________________________________68.A man is never too old to learn._______________________________69.Take it easy at first._________________________________________70.Now, the Internet is getting more and more popular.________________________________________________71.________________（听说） that this airport was rebuilt in 1989.72.Will you please help me__________________把(门翻开 )?73.Are these dresses for children made手(工).74.___________________(在、、、开始时 )English class, we all stand up to greetour teacher in English.75.It’s getting dark. Will you please______________打(开 )the light.。

四川省资阳市2017-2018学年高一上学期期末质量检测英语试题Word版含答案预览说明:预览图片所展示的格式为文档的源格式展示,下载源文件没有水印,内容可编辑和复制资阳市2017-2018学年度高中一年级第一学期期末质量检测英语第二部分阅读理解（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项，并在答题卡上将该项涂黑。

AKing’s College Summer School is an annual (年度的) training program for high school students at all levels who want to impro ve their English. Courses are given by the teachers of King’s College and other colleges in New York. Trips to museums and culture centers are also organized. This year’s summer school will be from July 25 to August 15. More21. You can most probably read the text in _____.A. a travel guideB. a textbookC. a telephone bookD. a newspaper22. If you want to l ive at a relative’s home in New York, you will have to pay the school _____.A. $ 200B. $ 400C. $ 500D. $ 90023. What can we learn from the text?A. The program will last two months.B. You can e-mail or ring up the school.C. You should write to Thompson only in English.D. Students in China can send applications only on July 14.BI’m a travel lover. I think it is very exciting to go to new places, experience different situations and see new things. Here’s what I have come up with about why my tr avel is so interesting.To start with, whether we know it or not, every day is filled with anxiety about things that we don’t need to worry about in the first place. Going to new places is a good chance to escape from our everyday worries. For example, after a whole day at work, I’m often physically and mentally tired and start to worry about things. However, the moment I get on the train or bus to my next destination (目的地), I forget all my tiredness and worries.Next is one of the most important things in travel: movement.I always take along books to read on my train trips, but in the end, only about five pages or so ever get read, because I just look at things out of the window. Just the ability to move is very enjoyable. Movement also means that we are going to new places and seeing new things. But why is that important? Because experiencing new situations, people and ideas can help us to learn about new things and grow. I have never gone on a trip and come back as the same person; I have always changed and grown through travel.So take every type of trip you can, at every chance you get, and you will not only experience more of the world, but willbecome a happier person with rich experiences.24. The passage is mainly about _____.A. how to have a comfortable lifeB. how to prepare for a tripC. why travel is so excitingD. why some people are tired of travelling25. Why doesn’t the author read much on train trips?A. Because he is too busy working to read.B. Because he is so tired that he can’t read.C. Because he doesn’t like reading on the train.D. Because his attention was taken away by the beautiful view.26. People who travel to new places will _____.①learn new things ②become happier③get more experiences ④have more chances to readA. ①③④B. ①②④C. ②③④D. ①②③27. The author develops the passage mainly by _____.A. giving explanationsB. giving examplesC. making comparisonsD. following the natural time orderCEveryone who has eaten instant noodles knows that it’s very easy to cook them quickly. However, have you ever heard of the danger of eating them?When taking out the noodles from the packaging, you will notice that they are joined together nicely as a piece. Do you know that it needs some form of wax coating (蜡涂层) to makethem joined togethe r nicely? Many people don’t really care much about it because this seems very normal. However, studies have shown that the wax coating is bad for our body.It is advisable to have a break of 2-3 days before we start to eat another packet of instant noodles because our body needs about 3 days to clear that wax coating away. Do you know the danger of having too much wax coating in our stomach? It will lead to CANCER if it is in our body for so long.Luckily, there is a way to reduce the danger before we eat instant noodles. First, wash the noodles with warm water, stir (搅拌) them and pour away the water containing the wax coating. Then repeat the first step and try tostir them again to wash away the wax coating on the noodles before cooking them. The shop vendors (供应商) will often wash away the dangerous wax coating.It is very easy to cook instant noodles but we must pay attention to the wax coating if we eat too much. Imagine having too much of it in your stomach. Oh, my! Hope this article will help more people know about the hidden danger!28. What should you do before eating instant noodles according to the writer?A. Stir the noodles twice in really cold water.B. Stop the noodles from joining together.C. Wash away the wax coating on the noodles.D. Drink large amounts of warm or hot water.29. What’s probably the author’s attitude to eating instant noodles?A. Supportive.B. Careful.C. Happy.D. Angry.30. What does the underlined word “it” in the last paragraph refer to?A. The instant noodle.B. The hidden danger.C. The attention.D. The wax coating.31. The author writes this text mainly to _____ .A. introduce delicious instant noodles to peopleB. tell people the danger of eating wax coatingC. help us to know the good part of wax coatingD. share with us a safer way to eat instant noodlesDAlmost every night for more than 10 years, Kirk Alexander, 48, ordered a late dinner from his local restaurant Domino’s Pizza. But for the past two weeks, he hasn’t called for even once.“A few of my staff mentioned that we hadn’t seen his order in a while. Then I found that it had been 12 days since he last ordered, which is not like him,” Domino’s general manager Sarah Fuller said, feeling she could no longer ignore Kirk’s recent absence.Sarah has known Kirk since 2009, when she started working at the Domino’s Pizza as a deliver driver and often made the short trip to Kirk’s home about six minutes away. She knew Kirk worked from home, and neighbors said he seldom left. She also knew that he had some health problems in the past. Something, Sarah worried, was wrong.Around 1 a.m. on May 8, Sarah sent delivery driver Sean Hamblen to visit Kirk’s home. Sean arrived at Kirk’s home andknocked on the front door several times. There was no answer. He later noticed that the lights and the TV in the home were on. When he called Kirk’s phone, it went straight to voice mail.Sean drove back to the restaurant to tell Sarah and they decided to call 911. Soon, officers arrived at Kirk’s home. So did Sarah and Sean. They heard a man calling for help from inside. Officers broke down the door and found Kirk on the floor in need of medical attention at once after suffering from a heart attack. One day later, they might have been too late.So is keeping an eye on regular customers pa rt of Domino’s business plan? Not really. “Kirk is part of our family here and we feel like we need to do something.” Sarah said.32. Why did Sarah send a delivery driver to visit Kirk?A. Because her staff asked her to do so.B. Because she was worried about Kirk.。

2017-2018学年第二学期七年级期中联考英语试题（满分：150分；考试时间：120分钟）考生注意：选择题每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。

非选择题答案用0.5毫米黑色墨水签字笔在答题卡上相应位置书写作答，在试题卷上答题无效。

I.听力（共三节，20小题，每小题1.5分，满分30分）第一节听句子听下面五个句子，从每小题所给的三幅图中选出与句子容相符的选项。

（每个句子读两遍））1.A B C2. A B C.3. A B C4. A B C5.A B C第二节听对话听下面七段对话，从每小题所给的A、B、C三个选项中选出正确答案。

（每段对话读两遍）听第1段对话，回答第6小题。

6. What can Lucy do?A. Sing.B. Dance.C. Play the piano听第2段对话，回答第7小题。

7. What are they talking about?A. AustraliaB. AnimalsC. Zoo听第3段对话，回答第8小题。

8. Why doesn’t the girl go to a movie this Sunday?A. She has to do homework.B. She has to do the dishes.C. She has to help clean rooms. 听第4段对话，回答第9小题。

9. Where are the two speakers?A. At home.B. In the school.C. In the food store.听第5段对话，回答第10、11小题。

10. What time does Dave usually get up?A. 6:00.B. 6:30.C. 7:00.11. What does Dave’s mother usually do after she gets up?A. She cooks breakfast.B. She plays sports.C. She drinks milk.听第6段对话，回答第12、13小题。

河南省实验中学2014——2015学年上期期中试卷高二 理科数学命题人：李士彬 审题人：李红霞（时间：120分钟，满分：150分）一、选择题（本大题共12小题，每小题5分，共60分．在每小题给出的四个选项中，只有一项是符合题目要求的．）1．命题“若A ⊆B ，则A ＝B ”与其逆命题、否命题、逆否命题这四个命题中，真命题的个数是( )A ．4B ．0C ．2D ．32．在△ABC 中，若a ＝2，b ＝2，A ＝π4，则B 等于 ( )A.π12B.π6C.π6或56πD.π12或1112π 3．在△ABC 中，sin A ∶sin B ∶sin C ＝4∶3∶2，则cos A 的值是 ( ) A ．－14B.14C ．－23D.234．已知x >1，y >1且lg x ＋lg y ＝4，则lg x lg y 的最大值是 ( ) A ．4B ．2C ．1D.145 .设变量x ，y 满足约束条件⎩⎪⎨⎪⎧x ＋y ≤3，x －y ≥－1，y ≥1，则目标函数z ＝4x ＋2y 的最大值为 ( )A ．12B ．10C ．8D ．26. 在ABC ∆中，3B π∠=，三边长a ，b ，c 成等差数列，且6ac =，则b 的值是 （ ）A B C D7．数列{a n }的通项式902+=n na n ，则数列{a n }中的最大项是（ ）A 、第9项B 、第10项和第9项C 、第10项D 、第9项和第8项8．已知等差数列{}n a 中，有011011<+a a ，且该数列的前n 项和n S 有最大值，则使得0n S > 成立的n 的最大值为( ) A ．11B ．20C ． 19D ．21 9 设x ，y 都是正数，且21x y += ，则11x y+的最小值是( )A B C 2+ D 3+10.数列{a n }的首项为1，{b n }是以2为首项，以2为公比的等比数列，且b n ＝a n ＋1－a n (n ∈N *)则n a =（ ）A ．21n-B ．2n C ．121n +-D ．22n-11.若两个等差数列{}n a ，{}n b 的前n 项的和为n A ，n B .且4555n n A n B n +=-，则135135b b a a ++= （ ） A.97 B.78 C.2019 D.8712 已知平面区域D 由以()3,1A 、()2,5B 、()1,3C 为顶点的三角形内部和边界组成.若在区域D 上有无穷多个点()y x ,可使目标函数my x z +=取得最小值，则=mA. 2-B. 1-C. 1D. 4二、填空题（本大题共4小题，每小题5分，共20分，把正确答案填在答题卡中的横线上）13．设a ＝3－2，b ＝6－5，c ＝7－6，则a 、b 、c 的大小顺序是________．14．已知不等式20x ax b --<的解集为（2，3），则不等式210bx ax -->的解集为___________________.15.把一数列依次按第一个括号内一个数，第二个括号内两个数，第三个括号内三个数，第四个括号内一个数，…循环分为(1)，(3,5)，(7,9,11)，(13)，(15,17)，(19,21,23)，(25)，…，则第100个括号内的数为________. 16．在三角形ABC 中，若角A B C 、、所对的三边a 、b 、c 成等差数列，则下列结论中正确的是____________.（把所有正确结论的序号都填上）①b 2≥ac； ②b c a 211≤+； ③2222c a b +≤； ④(0,]3B π∈三、解答题（本大题共6小题，70分，解答应写出文字说明、证明过程或演算步骤．） 17．（本小题10分）设命题p ：22310x x -+≤，命题2:(21)(1)0q x a x a a -+++≤，若命题p 是命题q 的充分不必要条件，求实数a 的取值范围.18 （本小题12分）△ABC 在内角A 、B 、C 的对边分别为,,a b c ，已知cos sin a b C c B =+ （1）求B ；（2）若2b =，求△ABC 面积的最大值。

2017-2018学年⾼⼆英语必修五习题：Unit2Section1含答案精品Unit 2Section ⅠⅠ.单词拼写导学号 403101011．The Group of Eight(G8) consists__of the eight richest countries in the world.2．If you divide__30 by 5，the answer is 6.3．__Roughly__(粗略地) speaking，I would say that about 100 people attended the exhibit.4．(2015江苏卷改编) Many stores have a delivery service for the__convenience__(便利)of customers.5．What__attracts__(吸引) me most of the job is the opportunity to travel.6．Generally，we are unwilling__to be blamed.7．When will the government__clarify__(澄清) its position on equal pay for women?8．Before starting the new service，the company carried out a__nationwide__(全国范围的)opinion poll.9．We__accomplished__(完成) this difficult task ahead of time.10．With the arrival of John's friends，the party became really __enjoyable__(令⼈愉快的)．Ⅱ.单句语法填空导学号 40310102 1．Happiness does not consist__in__how many possessions you own.2．The other students in the class keep their eyes__closed__(close)．3．The prisoner broke away__from__the two policemen who were holding him.4．You'll find these meals quick and__convenient__to prepare.We provide these meals for the__convenience__ of the customers.(convenient) 5．All the new students will be divided__into__20 classes，which will be divided__among__the teachers.6．I would be very grateful if you could inform me of your decisions __at__your earliest convenience.7．He planned to give a speech__to_clarify__(clarify) the situation.8．The hot spring is one of the__attractions__(attract) of the scenery in this area.9．When she woke up，she found herself__lying__(lie) in hospital.10．The reason why Mary got upset was that she felt left__out__at the party.Ⅲ.补全句⼦导学号 403101031．你拾⾦不昧的⾏为是⾮常值得表扬的。

南开中学2017-2018学年度（上）高一年级期中阶段检测英语试题本试卷分第I 卷 ( 选择题）和第II卷（非选择题），共100 分，考试用时100 分钟。

第一卷 1 至 10 页，第II卷11至12页。

务必然答案涂写在答题卡和答题纸上，答在试卷上无效。

第一卷第一部分听力 ( 共两节，满分10 分 )第一节 ( 共 5 小题；每题 1 分，满分 5 分 )听下面 5 段对话。

每段对话后有—个小题，从题中所给的A、 B、 C 三个选项中选出最正确选项，并标在试卷的相应地址。

听完每段对话后，你都有10 秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读—遍。

1． When does the man’ s plane take off?A． At 5:00.B．At 5:30.C．At 7:00.2. How often was the magazine published in the past?A． Once a week.B．Once a month.C．Twice a month.3． What will the woman probably do on Saturday evening?A． Go skating.B．Call her sister.C．Give a lecture.4． How does the woman feel?A． Worried.B．Angry.C．Surprised.5． Where does the conversation most probably take place?A． In an office.B．In a museum.C．In a clothing store.第二节 ( 共 10 小题；每题分，满分 5 分 )听下面 5 段对话。

每段对话后有几个小题，从题中所给的A、 B、 C 三个选项中选出最正确选项，并标在试卷的相应地址。

听每段对话前，你将有时间阅读各个小题，每题 5 秒钟；听完后，各小题将给出 5 秒钟的作答时间。

河南省实验中学2023—2024学年上期期中试卷八年级上期英语（时间：100分钟，满分：120 分）一、听力理解（20小题，每小题1分，共20分）第一节。

听下面5段对话。

每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳答案。

每段对话读两遍。

( )1. Where did the girl go last weekend?A. To the Palace Museum.B. To the Great Wall.C. To Tian'anmen Square.( )2. When did the boy go to Beijing Hutong?A. Last Thursday.B. Last Saturday.C. Last Sunday.( )3. Who is the woman speaking to?A. Her son.B. Her father.C. Her son's teacher.( )4. What languages can the boy speak?A. English and Japanese.B. Chinese and Japanese.C. English and Chinese.( )5. Where are the speakers going?A. To a supermarket.B. To a restaurant.C. To a hotel.第二节。

听下面几段对话或独白。

每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳答案。

每段对话或独白读两遍。

听下面一段对话，回答第6至第7两个小题。

( )6. What does the boy think of English?A. Difficult.B. Easy.C. Boring.( )7. What did the boy's English teacher say in the report card?A. The boy was lazy.B. The boy could do better.C. The boy was good at English.听下面一段对话，回答第8至第10三个小题。

15. How soon can the man get back the computer?
A. More than a week later. B. Less than a month later. C. At least a month later
听短文，回答第16-20小题
16. Where does Li Lei live?
9.Why did the girl cook for herself?
A.Because she liked cooking.
B. Because she came back late.
C. Because she wanted to help her parents.
10 How long has the woman been here?
A B. C.
2.What sport does the woman like?
A B. C.
3.What place of interest may he visit?
A. B. C.
4.Where are the two speakers talking now?
A. B. C
5.How is Linda going to the cinema tonight?
14. --- How many students are there in each group?
---Usually each group _______ six students in our class.
A. is made fromB. is made up ofC. is made inD. is made of
15. —Will you come to the party next Friday?

2017年秋“荆、荆、襄、宜四地七校考试联盟”高二期中联考英语试题试卷满分：150 分考试用时：120 分钟第 I 卷第一部分：听力（共两节，满分 30 分）第一节 (共 5 小题；每小题 1.5 分，满分 7.5 分)听下面 5 段对话。

每段对话后有一个小题，从题中所给的 A、B、C 三个选项中选出最佳选项，并标在试卷的相应位置。

听完每段对话后，你都有 10 秒钟的时间来回答有关小题和阅读下一小题。

每段对话仅读一遍。

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）阅读下列短文，从每题所给的选项 A、B、C 和 D 四个选项中，选出最佳选项。

AThe blooming of social media and interactive smartphone-based apps has proved that e-marketing is an unchangeable trend. In the case of China, the latest battlefield is beauty camera apps, which have become an overnight hit in the West.1. MeituPicDeveloped by the Xiamen-based Meitu Inc, MeituPic is the company’s flagship beauty camera app and was the first to become a big hit among Western users. The app has drawn some 456 million users, who use it to post more than 6 billion photos every month.In addition to MeituPic, Meitu Inc has developed a series of beauty camera apps such as Beauty Plus, Poster Labs and Meipai, each specializing in facial feature improvement, video editing and many other features.2. PituTian Tian Pi Tu, is a beauty app developed by China’s Internet giant Tencent. Similar to other photo-editing apps, Pitu offers a number of beautifying filters, blemish（瑕疵） removing tools and virtual makeup choices for users to choose from.Launched in 2014, Pitu has accumulated 106 million monthly active users (MAUs). While the number is not as impressive as that of Meitu’ s apps, some argue that the user base of Tencent’ s gaming products and chat applications, such as QQ and WeChat, gives Pitu great potential for further growth. According to Chinese app watchers, Pitu’ s target audience is younger and more individualized than that of MeituPic.80 percent of Pitu’ s users are younger than 25, giving the app more room to try out more new features.3. FaceUIn contrast with most other beauty apps, FaceU, focuses more on the social feature, encouraging users to video chat with friends and even strangers while playing with its fun stickers (贴纸) —and the strategy is undoubtedly working. Launched in 2016, the app, which mainly targets female users between 15 and 35, has twice made it onto the Apple store’ s Chart for top apps.1. Meitu Inc has developed a series of beauty camera apps except ______.A. MeipaiB. MeituPicC. Tian Tian Pi TuD. Beauty Plus2. What gives Tian Tian Pi Tu more room to grow potentially?A. The amount of Meitu Apps’s potential users.B. Users of Tencent’s gaming products and chat apps.C. The various kinds of photo-editing functions.D. The room to try out more new features.3. According to the passage, what do the three Apps have in common?A. They mainly target young users.B. They all launched in 2016.C. They specialize in photo editing.D. They are popular and hot.【答案】1. C 2. B 3. D【解析】本文是一篇应用文，介绍和评论了三种热门P图软件。

河南省实验中学2020——2021学年上期期中试卷高二物理（时间：90分钟，满分：100分）一、选择题(本题共12小题，1~8是单选题，9~12是多选题。

每小题4分，共48分。

全部选对的得4分，选对但不全的得2分，有选错或不答的得0分)1．下列说法正确的是（）A．电场是人们假想的，不是客观存在的B．电场线就是点电荷在电场中的运动轨迹C．元电荷是指带电量最小的电荷，比如电子和质子D．当两个带电体的形状和大小对它们的相互作用力的影响可忽略时，这两个带电体就能看作点电荷2．在光滑绝缘水平面上，三个带电小球a、b和c分别位于边长为l的正三角形的三个顶点上；a、b带正电，电荷量均为q，整个系统置于方向水平的匀强电场中。

若三个小球均处于静止状态，则c球的带电量为（）A．+q B．-q C．+2q D．-2q3．如图所示，A、B、C、D、E、F为匀强电场中一个边长为10cm的正六边形的六个顶点，A、C、D三点电势分别为1.0V、3.0V、5.0V，正六边形所在平面与电场线平行.则()A．电场强度的大小为V/mB．U EF与U BC相同C．电场强度的大小为V/mD．E点的电势与C点的电势相等4．一根长为L，横截面积为S的金属棒，其材料的电阻率为ρ。

棒内单位体积自由电子数为n，电子的质量为m，电荷量为e。

在棒两端加上恒定的电压时，棒内产生电流，自由电子定向运动的平均速率为v。

则金属棒内的电场强度大小为（）A．B．C．ρnevD．5．四根完全相同的长直导线互相平行，它们的截面处于一个正方形abcd的四个顶点处，导线中通有方向如图所示的电流，若每根通电导线在正方形中点处产生的磁感应强度大小均为B，则正方形中点处实际磁感应强度的大小为（）A．0 B．2B C． B D． B6．下图中小磁针的指向正确的是()A．B．C．D．7．如图所示为某电源的伏安特性曲线，则下列结论正确的是（）A．电源的电动势为6.0VB．电源的内阻为ΩC．电流为0.2A时的外电阻是D．电源的短路电流为0.5A8．反射式速调管是常用微波器之一，它利用电子团在电场中的振荡来产生微波，其振荡原理与下述过程类似。

河南省实验中学2017——2018学年上期期中答案高二政治1-5BDCBA 6-10DDBCB 11-15ABCDD 16-20CAABD 21-25ACCAB 26-30BCBCC31.①物质决定意识，坚持一切从实际出发。

新闻报道必须尊重客观事实，保证新闻的真实性，反对主观主义。

②意识具有能动性。

新闻报道，要充分发挥主观能动性，以求真务实的精神探求报道的对象的本质，使主观符合客观。

③规律的客观性和普遍性，要求我们必须尊重规律，按规律办事。

新闻报道必须实事求是，尊重新闻传播规律，不能违背规律。

（每点3分）32.①实践具有主观能动性，实践是有目的有意识的改造客观世界的活动。

借助“一带一路”加强区域合作，是人们有目的有意识的改造世界的活动，人们在这一活动中发挥了主观能动性，所以，此观点有其合理性。

（4分）②联系是客观的，不以人的意志为转移。

由于历史和现实的原因，“一带一路”沿线各国之间形成的联系是客观的。

并且，自在事物的联系和人为事物的联系都是客观的，“一带一路”属于人为事物的联系，同样是客观的。

上述观点否认了联系的客观性。

（5分）③人们可以根据事物固有的联系，改变事物的状态，建立新的联系。

通过“一带一路”，我国与沿线国家合作更加紧密，这充分发挥了主观能动性。

但不能因此否认联系的客观性。

（4分）33.①共享单车符合共享经济发展的潮流,符合市场发展规律,有强大的生命力和发展前途,我们应用心呵护其发展壮大。

②共享单车的发展是前进性与曲折性的统一,共享单车有利于解决老百姓出行难的问题,发展迅猛的同时也暴露出很多负面问题,我们应该有迎接挑战的心理准备。

③共享单车在发展过程中需要做好经验积累,促进相关管理制度的逐步完善,促进其服务质量的飞跃发展。

（每点3分）34.①矛盾具有普遍性，要用全面的观点看问题，坚持两点论、两分法。

正确处理好“冷”与“热”的关系，让“冷”知识在“热”背景中复活。

②矛盾具有特殊性，要坚持具体问题具体分析。

2023-2024学年河南省实验中学八年级（上）期中数学试卷一、选择题（本大题共10小题，每小题3分，共30分）1. 下列实数中，属于无理数的是（ ）A.B. 0.5C.D.2. 下列各组数据中是勾股数的是（ ） A. 6，8，10 B. 0.3，0.4，0.5C.，，D. 5，11，123. 已知是关于、的二元一次方程，则的值为（ ）A.B.C.D.4. 下列运算正确的是（ ）A. B. C. D.5. 函数图象上有两点，，则与的大小关系是（ ）A.B.C.D. 无法确定6. 剪纸艺术是最古老的中国民间艺术之一，很多剪纸作品体现了数学中的对称美．如图，蝴蝶剪纸是一幅轴对称图形，如果图中点E 的坐标为，其关于y 轴对称的点F 的坐标为，则的值为（ ）A. 1B.C.D. 07. 在同一平面直角坐标系中，函数和（为常数，）图象可能是（ ）A. B.C. D.8. 平面直角坐标系内轴，，点A的坐标为，则点B的坐标为（ ）A. B.C. 或D. 或9. 如图，一大楼的外墙面与地面垂直，点在墙面上，若米，点到的距离是6米，有一只蚂蚁要从点爬到点，它的最短行程是（）米A. 16B.C. 15D. 1410. 如图，在直角坐标系中，矩形的边在轴上，在轴上，顶点的坐标为，将矩形沿对角线翻折，点落在点的位置，且交轴于点．那么点的坐标为（）A. B. C. D.二、填空题（本大题共5小题，每小题3分，共15分）11. 比较两数的大小：2___3．（填“＜”或“＞”）12. 象棋在中国有着三千多年的历史，如图是一方的棋盘，如果“帅”的坐标是，“卒”的坐标为，那么“马”的坐标是________．13. 若关于x，y的方程组的解满足，则的值为________．14. 把两个同样大小的含45°角的三角尺按如图所示的方式放置，其中一个三角尺的锐角顶点与另一个的直角顶点重合于点A，且另三个锐角顶点B，C，D在同一直线上．若AB=，则CD=_____．15. 如图，矩形中，，，点为射线上的一个动点，与关于直线对称，当为直角三角形时，的长为________．三、解答题（本大题共8小题，共75分）16. 计算：（1）；（2）．17. 下面是马小虎同学解二元一次方程组的过程，请认真阅读并完成相应的任务．解方程组：解：①×2，得……③第一步②－③，得第二步．第三步将代入①，得．第四步所以，原方程组的解为第五步（1）这种求解二元一次方程组的方法叫做法，以上求解步骤中，马小虎同学第步开始出现错误．（2）请写出此题正确的解答过程．18. 在平面直角坐标系中，点在轴上，点在第一象限，过点作轴的垂线，垂足为，已知点的坐标为，长为2．（1）求，的长．（2）请判断的形状，并说明理由．19. △ABC在平面直角坐标系中位置如图所示，三点在格点上．（1）作出关于y轴对称的；（2）的面积为；（3）在y轴上作点P，使得值最小，并求出点P的坐标．20. 勾股定理是人类早期发现并证明重要数学定理之一，是用代数思想解决几何问题的最重要的工具之一，也是数形结合的纽带之一，它不但因证明方法层出不穷吸引着人们，更因为应用广泛而使人入迷．（1）证明勾股定理据传当年毕达哥拉斯借助如图所示的两个图验证了勾股定理，请你说说其中的道理．（2）应用勾股定理①应用场景1——在数轴上画出表示无理数的点．如图1，在数轴上找出表示4的点，过点作直线垂直于，在上取点，使，以点为圆心，为半径作弧，则弧与数轴的交点表示的数是______．②应用场景2——解决实际问题．如图2，郑州某公园有一秋千，秋千静止时，踏板离地的垂直高度，将它往前推至处时，水平距离，踏板离地的垂直高度，它的绳索始终拉直，求绳索的长．21. 郑州市政府为民生办实事，将污染多年“贾鲁河”进行绿化改造，现需要购买大量的景观树．某苗木种植公司给出以下收费方案：方案一：购买一张会员卡，所有购买的树苗按七折优惠；方案二：不购买会员卡，所有购买的树苗按九折优惠．设该市购买的景观树树苗棵数为x棵，方案一所需费用y1＝k1x+b1，方案二所需费用y2＝k2x，其函数图象如图所示，请根据图象回答下列问题．（1）k1＝　，b1＝　；（2）求每棵树苗的原价；（3）求按照方案二购买所需费用的函数关系式y2＝k2x，并说明k2的实际意义；（4）若该市需要购买景观树600棵，采用哪种方案购买所需费用更少？请说明理由．22. 如图，正比例函数的图象与一次函数的图象交于点一次函数图象经过点，与y轴交于点C，与x轴的交点为D．（1）求一次函数解析式；（2）一次函数的图象上是否存在一点P，使得？若存在，求出点P的坐标；若不存在，说明理由；（3）如果在y轴上存在一点Q，使是以为底边的等腰三角形，请直接写出点Q的坐标．23. 如图1，已知和为等腰直角三角形，按如图位置摆放，直角顶点C重合．（1）直接写出与的关系；（2）将按如图2的位置摆放，使点A、D、E在同一直线上，求证：；（3）将按如图3的位置摆放，使，，，求的长．2023-2024学年河南省实验中学八年级（上）期中数学试卷一、选择题（本大题共10小题，每小题3分，共30分）1. 下列实数中，属于无理数的是（）A. B. 0.5 C. D.【答案】A【解析】【分析】根据无理数的三种形式：①开方开不尽的数，②无限不循环小数，③含有π的数，进行判断即可．【详解】解：A、是无理数，符合题意；B、0.5是有理数，不符合题意；C、是分数，不符合题意；D、，是有理数，不符合题意；故选：A．【点睛】本题主要考查了无理数的定义．解题的关键是掌握无理数就是无限不循环小数，初中范围内学习的无理数有：含π的数，开方开不尽的数和无限不循环小数．2. 下列各组数据中是勾股数的是（）A. 6，8，10B. 0.3，0.4，0.5C. ，，D. 5，11，12【答案】A【解析】【分析】要判断是否为勾股数，必须根据勾股数是正整数，同时还需验证两小边的平方和是否等于最长边的平方，据此求解即可．【详解】解：∵，∴6，8，10是勾股数，故A符合题意；与，，均不是整数，不是勾股数，故B,C不符合题意；∵，∴不是勾股数，故D不符合题意故选：A．【点睛】此题主要考查了勾股数的定义，及勾股定理的逆定理，关键是掌握勾股数：满足的三个正整数，称为勾股数．3. 已知是关于、的二元一次方程，则的值为（）A. B. C. D.【答案】A【解析】【分析】根据二元一次方程的定义进行求解即可．【详解】解：∵是关于、的二元一次方程，∴，∴，故选A．【点睛】本题主要考查了二元一次方程的定义，一般地，形如且a、b是常数的方程叫做二元一次方程．4. 下列运算正确是（ ）A. B. C. D.【答案】C【解析】【分析】本题考查的是二次根式的运算．根据二次根式的加减和除法法则、二次根式的性质与化简对各选项进行逐一分析即可．【详解】解：A、，本选项不符合题意；B、与不能计算，本选项不符合题意；C、，本选项符合题意；D、，本选项不符合题意．故选：C．5. 函数图象上有两点，，则与的大小关系是（）A. B. C. D. 无法确定【答案】A【解析】【分析】根据得出函数值随的增大而减小，再根据，即可比较与的大小关系．【详解】解：，随的增大而减小，，，故选：A．【点睛】本题考查了一次函数图象上点的坐标特征，熟练掌握一次函数的增减性是解题的关键．6. 剪纸艺术是最古老的中国民间艺术之一，很多剪纸作品体现了数学中的对称美．如图，蝴蝶剪纸是一幅轴对称图形，如果图中点E的坐标为，其关于y轴对称的点F的坐标为，则的值为（ ）A. 1B.C.D. 0【答案】B【解析】【分析】本题考查坐标与图形对称变化，利用轴对称的性质，求出m，n可得答案．【详解】解：∵，关于y轴对称，∴，∴，故选：B．7. 在同一平面直角坐标系中，函数和（为常数，）的图象可能是（ ）A. B.C. D.【答案】D【解析】【分析】根据正比例函数和一次函数的性质，可以得到函数和的图象经过哪几个象限，本题得以解决．【详解】解：∵，∴函数是经过原点的直线，经过第二、四象限，函数是经过第一、三、四象限的直线，故选：D【点睛】本题考查正比例函数的图象、一次函数的图象，解答本题的关键是明确题意，利用正比例函数和一次函数的性质解答．8. 平面直角坐标系内轴，，点A的坐标为，则点B的坐标为（ ）A. B.C. 或D. 或【答案】D【解析】【分析】根据平行于横轴上的点纵坐标相等分析计算即可．【详解】∵轴，∴A点与B点纵坐标相同，横坐标之差等于其距离，B点横坐标，或，故B点坐标为：或．故选：D【点睛】本题考查平行于坐标轴的线上的点的坐标特征，能够掌握数形结合思想是解决本题的关键．9. 如图，一大楼的外墙面与地面垂直，点在墙面上，若米，点到的距离是6米，有一只蚂蚁要从点爬到点，它的最短行程是（）米A. 16B.C. 15D. 14【答案】B【解析】【分析】可将教室的墙面与地面展开，连接，根据两点之间线段最短，利用勾股定理求解即可．【详解】解：如图，过P作于G，连接，∵米，米，∴米，∴（米），∴（米）∴这只蚂蚁的最短行程应该是米，故B正确．故选：B．【点睛】本题主要考查了平面展开-最短路径问题，立体图形中的最短距离，通常要转换为平面图形的两点间的线段长来进行解决．10. 如图，在直角坐标系中，矩形的边在轴上，在轴上，顶点的坐标为，将矩形沿对角线翻折，点落在点的位置，且交轴于点．那么点的坐标为（）A. B. C. D.【答案】A【解析】【分析】先证明（设），根据勾股定理列出，求得，即可解决问题．【详解】解：设，∵矩形沿对角线翻折，∴，，∴，∴，∴，∵，∴，，∴，在中，，∴，解得：，∴，∴点的坐标为．故选：A．【点睛】本题考查翻折变换的性质及其应用问题．解题的关键是掌握翻折变换的性质，矩形的性质及勾股定理．二、填空题（本大题共5小题，每小题3分，共15分）11. 比较两数的大小：2___3．（填“＜”或“＞”）【答案】>【解析】【分析】将两个数平方，再根据两个正实数平方大的这个正实数也大比较即可．【详解】解：∵，，又∵，∴．故答案为：．【点睛】本题考查实数的大小比较．掌握比较实数大小的方法是解题关键．12. 象棋在中国有着三千多年的历史，如图是一方的棋盘，如果“帅”的坐标是，“卒”的坐标为，那么“马”的坐标是________．【答案】【解析】【分析】本题考查了平面直角坐标系位置确定，根据给定的坐标建立平面直角坐标系可得“马”的坐标．【详解】解：由“帅”的坐标是，“卒”的坐标为，那么“马”的坐标是，故答案为：．13. 若关于x，y的方程组的解满足，则的值为________．【答案】2022【解析】【分析】本题考查二元一次方程组的解，将原方程组中的两个方程相加可得，即，再将代入计算即可．【详解】解：，得，，即，又∵，∴，解得．故答案为：2022．14. 把两个同样大小的含45°角的三角尺按如图所示的方式放置，其中一个三角尺的锐角顶点与另一个的直角顶点重合于点A，且另三个锐角顶点B，C，D在同一直线上．若AB=，则CD=_____．【答案】【解析】【分析】先利用等腰直角三角形的性质求出BC=2，BF=AF=1，再利用勾股定理求出DF，即可得出结论．【详解】如图，过点A作AF⊥BC于F，在Rt△ABC中，∠B=45°，∴BC=AB=2，BF=AF=AB=1，∵两个同样大小的含45°角的三角尺，∴AD=BC=2，在Rt△ADF中，根据勾股定理得，DF==∴CD=BF+DF-BC=1+-2=-1，故答案为-1．【点睛】此题主要考查了勾股定理，等腰直角三角形的性质，正确作出辅助线是解本题的关键．15. 如图，矩形中，，，点为射线上的一个动点，与关于直线对称，当为直角三角形时，的长为________．【答案】2或18【解析】【分析】分两种情况：①当E点在线段上时，②当E点在线段的延长线上时，利用全等三角形的判定和性质进行解答即可,熟练掌握三角形全等的判定和性质，活用勾股定理是解题的关键．【详解】解：分两种情况讨论：①当E点在线段上时，如图所示：∵矩形中，，，与关于直线对称，∴，，，∵，∴，∴三点共线，∵∴∵∴；②当E点在线段的延长线上，且经过点B时，如图所示：∵,∴，在和中，，∴，∴，∵∴；综上所知，的长为2或18，故答案为：2或18．三、解答题（本大题共8小题，共75分）16. 计算：（1）；（2）．【答案】（1）（2）【解析】【分析】本题结合完全平方公式和平方差公式，考查了二次根式的混合运算，（1）先进行乘方运算和去绝对值，然后把化简后合并即可；（2）先根据完全平方公式和平方差公式计算，然后合并即可．【小问1详解】解：原式；【小问2详解】原式17. 下面是马小虎同学解二元一次方程组的过程，请认真阅读并完成相应的任务．解方程组：解：①×2，得……③第一步②－③，得第二步．第三步将代入①，得．第四步所以，原方程组的解为第五步（1）这种求解二元一次方程组的方法叫做法，以上求解步骤中，马小虎同学第步开始出现错误．（2）请写出此题正确的解答过程．【答案】（1）加减消元法，第四步（2）见解析【解析】【分析】（1）根据解方程组的特点判断，注意系数化为1时的计算．（2）按照解方程组的步骤求解即可【小问1详解】根据解题步骤分析，这种求解方程组的方法是加减消元法，在第四步系数化为1时，出错，故答案为：加减消元法，第四步．【小问2详解】方程组：解：①×2，得……③，②－③，得，解得．将代入①，得3．解得x=．所以，原方程组的解为．【点睛】本题考查了二元一次方程组的解法，熟练掌握方程组的解法是解题的关键．18. 在平面直角坐标系中，点在轴上，点在第一象限，过点作轴的垂线，垂足为，已知点的坐标为，长为2．（1）求，的长．（2）请判断的形状，并说明理由．【答案】（1），（2）是直角三角形，理由见解析【解析】【分析】（1）由题意可得，，利用勾股定理即可求解；（2）由勾股定理可求得，利用勾股定理的逆定理进行判断即可．【小问1详解】解：点的坐标为，轴，，，，；【小问2详解】解：是直角三角形，理由如下：，，轴，，由（1）得，，，，，即，是直角三角形．【点睛】本题主要考查坐标与图形，解题的关键是对勾股定理及其逆定理的掌握与运用．19. △ABC在平面直角坐标系中的位置如图所示，三点在格点上．（1）作出关于y轴对称的；（2）的面积为；（3）在y轴上作点P，使得值最小，并求出点P的坐标．【答案】（1）见解析（2）（3）作图见解析，点P坐标为【解析】【分析】本题主要考查作图---轴对称变换，利用轴对称变换的定义和性质和待定系数法求一次函数解析式：（1）分别作出点A、B、C关于y轴的对称点，再首尾顺次连接即可；（2）用矩形的面积减去周围三个三角形的面积即可；（3）作点B关于y轴的对称点，连接，与y轴的交点即为所求，利用待定系数法求出所在直线解析式，然后求出时y的值即可得出点P的坐标，根据轴对称的性质和两点之间线段最短即可说明理由．【小问1详解】解：如图所示，即为所求．【小问2详解】△ABC的面积为，故答案为：；【小问3详解】如图所示，点P即为所求，点B关于y轴的对称点坐标为，设所在直线解析式为，则，解得，∴所在直线解析式为，当时，，∴点P坐标为，根据轴对称的性质知，由两点之间线段最短知最小，则最小．20. 勾股定理是人类早期发现并证明的重要数学定理之一，是用代数思想解决几何问题的最重要的工具之一，也是数形结合的纽带之一，它不但因证明方法层出不穷吸引着人们，更因为应用广泛而使人入迷．（1）证明勾股定理据传当年毕达哥拉斯借助如图所示的两个图验证了勾股定理，请你说说其中的道理．（2）应用勾股定理①应用场景1——在数轴上画出表示无理数的点．如图1，在数轴上找出表示4的点，过点作直线垂直于，在上取点，使，以点为圆心，为半径作弧，则弧与数轴的交点表示的数是______．②应用场景2——解决实际问题．如图2，郑州某公园有一秋千，秋千静止时，踏板离地的垂直高度，将它往前推至处时，水平距离，踏板离地的垂直高度，它的绳索始终拉直，求绳索的长．【答案】（1）见解析（2）①；②绳索的长为【解析】【分析】（1）用含、的式子表示2个图中空白部分的面积，即可得出结论；（2）①根据勾股定理求出，根据实数与数轴解答即可．②设秋千的绳索长为，根据题意可得，利用勾股定理可得，即可得到结论．【小问1详解】解：由左图可知：，即，由右图可知：，即．．．即在直角三角形中斜边的平方等于两直角边的平方和．【小问2详解】解：①在中，,,点表示的数是，故答案为：；②，，．设秋千的绳索长为，根据题意可得，利用勾股定理可得．解得：．答：绳索的长为．【点睛】本题主要考查了勾股定理的应用，正确理解题意，掌握直角三角形中两直角边的平方和等于斜边的平方是解题的关键．21. 郑州市政府为民生办实事，将污染多年的“贾鲁河”进行绿化改造，现需要购买大量的景观树．某苗木种植公司给出以下收费方案：方案一：购买一张会员卡，所有购买的树苗按七折优惠；方案二：不购买会员卡，所有购买的树苗按九折优惠．设该市购买的景观树树苗棵数为x棵，方案一所需费用y1＝k1x+b1，方案二所需费用y2＝k2x，其函数图象如图所示，请根据图象回答下列问题．（1）k1＝　，b1＝　；（2）求每棵树苗的原价；（3）求按照方案二购买所需费用的函数关系式y2＝k2x，并说明k2的实际意义；（4）若该市需要购买景观树600棵，采用哪种方案购买所需费用更少？请说明理由．【答案】（1）21，3000；（2）每棵树苗的原价30元；（3）y2=27x，k2的实际意义是：每棵树苗打九折后的价格；（4）该市需要购买景观树600棵，采用方案一购买所需费用更少．理由见解析【解析】【分析】（1）根据题意和函数图象中的数据，可以得到k1和b1的值；（2）根据（1）中的结果和题意，可以计算出每棵树苗的原价；（3）根据函数图象中的数据和题意，可以得到函数关系式y2=k2x，并说明k2的实际意义；（4）将x=600代入y1和y2，然后比较大小，即可解答本题．【详解】解：（1）由图象可得，函数y1=k1x+b1，过点（0，3000），（200，7200），则，解得：，故答案为：21，3000；（2）由（1）可得，每棵树苗按七折优惠的价格是21元，∴每棵树苗的原价是21÷0.7=30（元），即每棵树苗的原价30元；（3）∵方案二中的树苗打九折优惠，∴按照方案二购买的每棵树苗的价格为30×0.9=27（元），∵方案二：不购买金卡，所有购买的树苗按九折优惠，当x=0时，y2=0，∴y2=27x，k2的实际意义是：每棵树苗打九折后的价格；（4）该市需要购买景观树600棵，采用方案一购买所需费用更少，理由：由（1）（3）可知，y1=21x+3000，y2=27x，当x=600时，y1=21×600+3000=15600，y2=27×600=16200，∵15600＜16200，∴该市需要购买景观树600棵，采用方案一购买所需费用更少．【点睛】本题考查了一次函数的应用，解答本题的关键是明确题意，利用一次函数的性质和数形结合的思想解答．22. 如图，正比例函数的图象与一次函数的图象交于点一次函数图象经过点，与y轴交于点C，与x轴的交点为D．（1）求一次函数解析式；（2）一次函数的图象上是否存在一点P，使得？若存在，求出点P的坐标；若不存在，说明理由；（3）如果在y轴上存在一点Q，使是以为底边的等腰三角形，请直接写出点Q的坐标．【答案】（1）一次函数解析式为（2）存在，P点的坐标或（3）点Q的坐标为【解析】【分析】（1）由待定系数法即可求解；（2）由，即可求解；（3）由得：，即可求解．【小问1详解】解：∵正比例函数的图象与一次函数的图象交于点，∴可有，解得，∴A点的坐标；∵一次函数的图象过点和点则有，解得：，∴一次函数解析式为；【小问2详解】解：存在，理由如下：设点，对于一次函数，令，则有，解得，∴点，根据题意可知：，解得，当时，，当时，，∴P点坐标或；【小问3详解】解：设点，则，即，解得：，即点Q的坐标为：．【点睛】本题主要考查了正比例函数图象上点的坐标特征、待定系数法求函数解析式、一次函数图象与坐标轴交点以及一次函数几何问题等知识，解题关键是熟练掌握相关知识，并运用数形结合的思想分析问题．23. 如图1，已知和为等腰直角三角形，按如图的位置摆放，直角顶点C重合．（1）直接写出与的关系；（2）将按如图2的位置摆放，使点A、D、E在同一直线上，求证：；（3）将按如图3位置摆放，使，，，求的长．【答案】（1）且（2）见解析（3）【解析】【分析】对于（1），先证明≌即可得出数量关系，再根据角之间的关系得出位置关系；对于（2），设交于O，先证明，可得结论；对于（3），连接，首先证明，利用勾股定理求出线段，再证明≌推出，即可解决问题．【小问1详解】结论：且．理由：如图1中，延长交一点O．∵和为等腰直角三角形，∴，，∴，∴≌，∴，.∵，∴，∴．【小问2详解】如图2中，设交于O．由（1）可知≌，∴，.∵，∴，∴.∵，，∴，即，∴；【小问3详解】如图3中，连接，∵，，∴，.∵，∴.∵，，∴.∵，∴.∵，，∴≌，∴，∴．【点睛】本题主要考查了三角形综合题、等腰直角三角形的性质、全等三角形的判定和性质、勾股定理等知识，解题的关键是灵活运用所学知识解决问题，正确寻找全等三角形解决问题，属于中考常考题型．。