湖北武汉外国语学校七年级下期中考试试卷
1．平面直角坐系中，点P（x，y）在第三象限，且P到x轴、y轴的距离分别为3、7，则P点坐标为（）2．如图，方格纸上有B、A两点，若以点B为原点，建立平面直角坐标系，则点A坐标为（3，4），若以A 为原点建立平面直角坐标系，则点B的坐标为（）3．下列命题正确的是（）A．如果两个角相等，那么这两个角是对顶角B．直线外一点和直线上的点连线中，垂线最短C．平面内，经过一点有且只有一条直线与已知直线平行D．平面内，经过一点有且只有一条直线与已知直线垂直。
4．如图，把一个长方形纸片沿EF折叠后，点D、C分别落在'D、'C的位置，若∠EFB = 65°，则∠AE'D 等于（）A．50° B．55° C．60° D．65°C5.在综合实践活动课上，小红准备用两种不同颜色的布料缝制一个正方形座垫，座垫的图案如右所示，应该选左图中的哪一块布料才能使其与右图拼接符合原来的图案模式（）A． B． C． D．6．四个电子宠物排座位，一开始，小鼠、小猴、小兔、小猫分别坐在1、2、3、4号座位上（如图所示），以后它们不停地变换位置，第一次上下两排交换，第二次是在第一次换位后，再左右两列交换位置，第三次上下两排交换，第四次再左右两列交换……这样一直下去，则第2005次交换位置后，小兔子坐在（）号位上。
4321猫兔猴鼠猫兔猴鼠猫兔猴鼠→→…A．1 B．2 C．3 D．413．写出三个满足横纵坐标之积为 4的点的坐标：。
7．要把图中的三条线段组成三角形，可将线段MN先向右平移格，再向下平移格。
8．根据下面的镶嵌填空：①在图中，是用两种正多边形进行的镶嵌，在每一个顶点处，有 个正三角形， 个正方形。
②中山公园的地面要铺成这样的图案，要购买正三角形与正方形地板砖，在确定购买数量时，应使正三角形与正方形的块数之比为 时，才能既减少浪费，又能铺好地面。
ECBAD（第16题图） （第18题图）9．周日，小华做作业时，把老师布置的一个正方形忘了画下来，打电话给小云，小云在电话中答复他：“你可以这样画，正方形ABCD 的顶点A 、B 、C 的坐标分别是（1，2）、（-2，2）、（-2，-1），顶点D 的坐标你自己想吧！”那么顶点D 的坐标是 。
10．多边形木架具有不稳定性，但加一些木条可以使其形状不变。
（1）多 边 形至少要加钉木条根数4567（2）根据上面的规律，要使一个n 边形（n ≥4）的形状不变，至少要 根木条。
11．已知DE ∥BC ，CD 平分∠ACB ，∠B = 70°，∠ACB = 60°，求∠BDE 和∠BDC 的度数。
EDA12．如图，已知F 是⊿ABC 的边BC 的延长线上的一点，DF ⊥AB 于D ，且∠A = 56°，∠F = 31°，求∠ACB 的度数。
FEDA13．如图，在⊿ABC 中，D 是BC 上的一点，∠1 =∠2，∠3 =∠4，∠BAC = 63°，求∠DAC 的度数。
CBA 432114．中国象棋棋盘中蕴含着平面直角坐标系，如下图是中国象棋棋盘的一半，棋子“马”走的规则是沿“日”形的对角线走。
例如：图①中“马”所在的位置可以直接走到点A 、B 处。
（1）如果“帅”位于点（0，0），“相”位于点（4，2），则“马”所在的点的坐标为 ，点C 的坐标为 ，点D 的坐标为 。
（2）若“马”的位置在C 点，为了到达D 点，请按“马”走的规则，在图中画出一种你认为合理的行走路线，并用坐标表示。
15、（1）图中画出AC 边上的中线BM ，并写出点M 的坐标； （2）在图中画出BC 边上的高AN ，并写出N 点的坐标；（3）求⊿ABC 的面积。
16．如图，三艘帆船A 、B 、C 保持编队航行，分别写出它们的坐标。
一段时间以后，帆船A 航行到'A 位置，帆船B 、C 分别航行到什么位置呢？在图中标出来并分别写出这三艘帆船所在新位置的坐标。
第6章：平面直角坐标系1、像“9排7号”，“第一列第5行”这样含有两个数的词来表示一个确定的位置，其中有两个数各自表示不同的含义，例如前面的表示“排数”，后面的表示“号数”，我们把这种_____的两个数a 和b 组成的数对，叫做__________，记为___________。
2、指出下列各点所处的象限或坐标轴。
点B （－3，－1）在__________；点C （0，－5）在___________； 点D （3，0）在__________；点E （0，0）在__________；3、建立平面直角坐标系时，通常以_______为x 轴，以_______为y 轴，建立平面直角坐标系。
4、利用平面直角坐标系绘制区域内一些地点分布情况平面图的步骤如下：（1）建立________，选择一个__________为原点，确立x 轴、y 轴的_________方向； （2）根据具体问题确定适当的________，在坐标轴上标出_________； （3）在坐标平面内画出这些点，写出各点的________和各个地点的名称。
5、在平面直角坐标系中，将点P （a ，b ）向下（或向上）平移m 个单位长度，可以得到对应点P 1（_____，______）或P 1（_____，______）；将点P （a ，b ）向左（或向右）平移n 个单位长度，可以得到对应点P 2（_____，______）或P 2（_____，______）；6、在平面直角坐标系内，如果把一个图形各个点的___坐标都_______（或________）一个正数a ，相应的新图形就是把原图形向右（或向左）平移a 个单位长度；如果把一个图形各个点的___坐标都______（或________）一个正数a ，相应的新图形就是把原图形向上（或向下）平移a 个单位长度。
难点剖析：难点一：图形的对称问题点A(x,y)关于x 轴对称的点的坐标为A'( )，点A(x,y)关于y 轴对称的点的坐标为A'( ) 点A(x,y)关于原点对称的点的坐标为A'( )，点A(a,b)关于y=x 对称的点的坐标为A'( ) 点A(a,b)关于y=-x 对称的点的坐标为A'( ) 考点一：考查坐标方法的应用如图，已知棋子“卒”的坐标为（2，3）棋子“马”的坐标为（()13，），则棋子“炮”的坐标为_____考点二：考查坐标的平移已知点A(2，3)则向左平移两个单位得到 考点三：由坐标确定点所在的象限已知点A(2，3)，在点A 在第 象限 平面直角坐标系:思想方法例析 一、方程思想：求最值问题，当未知数不能直接求出的时候，一般地，需设出未知数，在建立方程，用解方程的方法求出结果，这也是解题中常见的一种思想1. 若点(9-a,a+3)在第一、三象限的角平分线上，则a 的值为__________ 二、转化与化归思想：用简单，已经学过的知识解决复杂、未知的知识，把复杂的问题转化为简单的已知问题来解决，把求复杂图形面积的问题转化为简单易求图形面积的问题来解决，这是化归思想的体现，也是求面积经常用的方法 2. 在平面直角坐标系中，A(-3,4),B(-1,-2) ,O 为坐标原点，求AOB △的面积炮马卒三、分类讨论思想分类讨论是在解题过程中，将某一数学对象根据它本身的属性，按照一定的原则或标准分成若干类，然后逐类进行讨论解决，然后再把这几类的结论总结，得出问题的答案的一种思想方法，其作用是客服思维的片面性，防止漏解3. 设M(a,b)为平面直角坐标系中的点⑴ 当a>o,b<0时，点M 位于第几象限？⑵ 当ab>o 时，点M 位于第几象限？⑶ 当a 为任意有理数，且b<0,时，点M 位于第几象限？1.按照竖列，横排的编号，甲同学的位置是()43，，乙同学在第四列。
第三排，则甲，乙两同学（ ） A. 在同一列 B. 在同一排 C ．不在一列或排 D. 无法确定2．如图所示，点A 的坐标是（ ）4.点M 在y 轴的左侧，到x 轴，y 轴的距离分别是3和5，则点M 的坐标是（ ）5过点P 分别向坐标轴作垂线，且与坐标轴围成正方形的面积为4，则这样的点P 有（ ）.A.4个B.3个C.2个 D 1个 6.点M(-3,-5)向上平移7个单位到点'M 的坐标为( )7.已知M(1,-2),N(-3,-2)则直线MN 与x 轴，Y 轴的位置关系分别为（ ）A.相交，相交B.平行，平行C.垂直相交，平行D.平行，垂直相交 8. 已知M(-3,-4),则点M 到Y 轴的距离是（ ） 0 A.3 B.4 C.-3 D.-49．将某图形的横坐标都减去2，纵坐标不变，则该图形 （ ）A ．向右平移2个单位B ．向左平移2个单位C ．向上平移2 个单位D ．向下平移2 个单位1.若电影院中的5排2号记为(5,2)，则3排5号记为________________2.M(a,b)且a<0,ab<0则点M 在第 象限。
3.p(-2,-4)关于原点对称的点为 ，p(3,-5)关于y 轴对称的点为4.在x 轴上的任一点的纵坐标是 ，y 轴上的任一点的横坐标为5.点A 与点B(a,-b)关于Y 轴对称，则点A 关于原点的对称点C 的坐标为6.已知正方形ABCD 的三个顶点A(4,0),B(0,0),C(0,4),则第四个顶点D 的坐标为7.点A(-2,3)到x 轴的距离为 ，到y 轴的距离是 ,到原点的距离是8.线段AB 中，A(-2,3)B(1,3)现把线段AB 平移到''B A ，使A ’(0,2),B ’(3,2)，则直线AB ,''B A 间的距离为9.点H 坐标为(4,-3)，把点H 向左平移5个单位到点'H ，则点'H 的坐标为 三.解答题：2.在同一平面直角坐标系中，说出下列各题中两个点的对称轴或对称中心。
A(a,b) B(-a,-b) A(a,b) B(-a, b) A(a,b) B(a,-b) 3．如图，三角形PQR 是三角形ABC 经过某种变换后得到的图形，分别写出点A 与点P ，点B 与点Q ，点C 与点R 的坐标，并观察它们之间的关系，如果三角形ABC 中任意一点M 的坐标为（),b a 那么它的对应点N 的坐标是什么？4．如图，在平面直角坐标系中，一颗棋子从点P 处开始依次关于点A,B,C 作循环对称跳动，即第一次跳到点P 关于点A 的对称点M 处，接着跳到点M 关于点B 的对称点N 处，第三次再跳到点N 关于C 的对称点处，…．如此下去。
（1）在图中画出点M 、N ，并写出点M 、N 的坐标：_____________ （2）求经过第2008次跳动之后，棋子落点与点p 的距离。
湖北省武汉市2023年七年级下学期期中英语试卷【含答案】
七年级下学期期中英语试卷一、选择填空。
从题中所给的ABCD四个选项中，选出一个最佳答案。
（共15小题, 每小题1分, 满分15分）1．—Don't eat in the library!—________.A．OK, I will B．Sorry, I won'tC．I don't think so D．I'm afraid not2．—Does the soup ________ nice?—Yes, it's hot, but really delicious.A．sound B．smell C．taste D．look3．—What does your father often do after dinner?—He often ________ after supper. But now, he ________.A．reading newspapers; listening to musicB．reads newspapers; listens to musicC．reads newspapers; is listening to musicD．is reading newspapers; listens to music4．—Thanks a lot for your help with my English!—________.A．It doesn't matter B．With pleasureC．My pleasure D．OK5．—How do you like your new job at school?—Terrible! I find it hard to keep the ________ kids quiet in class.A．smart B．noisy C．afraid D．funny6．—Why are you late, Tom?—My dad drives me to school every day, but today his car doesn't ________.A．work B．walk C．arrive D．drive7．—Are all these girls from Wuhan?—No, only ten of them are. ________ are from ________ cities.A．Others; other B．The other; anotherC．The others; another D．The others; other8．—I enjoy myself reading in this ________ afternoon.—That sounds relaxing.A．terrible B．slow C．lazy D．busy9．—Bob, can you give me a ________ back to my school?—Sure, get into the car, please.A．minute B．stop C．ride D．way10．—May I drink the milk, Mum?—Wait a moment, honey! You________ make sure it isn't too hot first.A．can B．must C．may D．will11．—Students sit too long in front of the computer, so more and more kids are near—sighted.—They should do eye ________ and take ________ every day.A．exercises; exercise B．exercises; exercisesC．exercise; exercise D．exercise; exercises12．—I hear Jim joins the chess club, does he like playing chess?—Yes, he ______ great interest in it after he comes to China.A．saves B．shows C．draws D．pays13．—Do you often go to the library to read a newspaper on weekends?—Yes, and we go there ________ on Saturday ________ on Sunday.A．neither; nor B．between; andC．either; or D．from; to14．—The doctor says I smoke too much. Now I'm trying to ___________ on cigarettes.—Really? Then I should learn from you.A．cut off B．cut down C．cut out D．cut in15．—Excuse me, can you tell me ________?—Oh, it's at 3：00 p.m..A．when is Lily's birthday party B．how I can get to the zooC．what time the P. E. class is D．why does he learn Chinese Kungfu二、完形填空。
湖北省武汉市七年级下学期英语期中试卷(含答案)
湖北省武汉市七年级下学期英语期中试卷阅卷人一、选择填空，从题中所给的A、B、C、D四个选项中，选出一个最佳答案。
（共15小题,每小题1分，满分15分）得分1．—Don't take photos here,please.—________.A．No way B．Sorry,I won'tC．Here you are D．It's my pleasure2．—I have a math test tomorrow.—________.A．That sounds great B．Well doneC．Good for you D．Good luck3．—Hello.Is Alice there?—No,she isn't.She________at the supermarket.A．shops B．shopping C．is shopping D．shopped4．—Sally________the piano very well.—Quite right.She practices every day.A．plays B．is playing C．played D．playing5．—I'm good________old people.I can help at the old people's home.—It's very kind of youA．at B．for C．with D．on6．I only have two tickets to The Battle Lake Changjin.________you________Jenny can go with me. A．Either;or B．Either;and C．Both;or D．Both;and7．—is it from here to the museum?—About20minutes by bike.A．How long B．How far C．How often D．How soon 8．—They want to________the two cities by a bridge.—Good idea.A．make B．take C．cross D．join9．—Joe,I know you are in the UK.Do you like your host family?—Yes,I do.But there's________"no place like home".A．still B．also C．just D．too10．—Why do you think elephants are________?—Because they always remember places with food and water.A．scary B．smart C．lazy D．beautiful 11．—What do you think of Lily and Lucy?—One is quiet and________is hard working.A．one B．another C．other D．the other 12．—Have a________of this cake to see if you like it.—OK.A．taste B．look C．smell D．watch 13．—Doctor,how can I keep healthy?—Well,you should first________on smokingA．cut up B．cut in C．cut down D．cut off14．Jim is arriving in Wuhan.We are all at the________to meet him.A．library B．station C．hospital D．zoo15．—Do you know________?—Jill.A．what's his name B．what's her nameC．what her name is D．what his name is阅卷人二、完形填空（共1小题,每小题15分,满分15分）得分完形填空There is a man who keeps three monkeys in his house.The monkeys are very16．and they can do many things.The man loves his17．.And he thinks they can try something new,so he begins to18．them to dance.The monkeys don't like dancing at first,but the man is19．them.These monkeys have to 20．hard every day.Soon they can dance very well.The man is very happy about that.One day,he21．the monkeys up in special clothes and masks,and takes them to a party.He wants people to22．his smart friends.The dancing monkeys are23．at the party.Nobody knows that they are monkeys,and people are 24．to them.The monkeys are very happy to have lots of25．food there.Suddenly（突然地）,a child puts some bananas in front of the dancing monkeys.The monkeys 26．everything then.27．of them run to the bananas and begin to eat.Now all the people at the party laugh."They aren't dancers at all",cries one man."They are 28．monkeys!""And,"29．another man."What we see isn't always30．".16．A．lazy B．smart C．kind D．lovely 17．A．pets B．places C．children D．groups 18．A．run B．teach C．cross D．fight 19．A．right for B．good with C．strict with D．afraid of 20．A．follow B．use C．live D．practice 21．A．dresses B．makes C．saves D．puts 22．A．feel B．taste C．watch D．listen 23．A．welcome B．sorry C．important D．beautiful 24．A．friendly B．shy C．difficult25．A．quick B．terrible C．lucky D．delicious 26．A．keep B．forget C．leave D．remember 27．A．Any B．Much C．All D．Either 28．A．still B．often C．just D．also 29．A．speaks B．tells C．talks D．says 30．A．true B．dangerous C．nice D．young阅卷人三、阅读理解（共3小题，每小题10分，满分30分）得分阅读下面材料，从每题所给的A、B、C、D四个选项中，选出最佳选项。
湖北省武汉外校下学期期中考试七年级英语试题(无答案2c无听力部分)
武汉外校2016-2017学年度下学期期中考试七年级英语试题II. Multiple Choice. (1×15’)26. —I came first in the long jump.—______. I’m so proud of you.A. Good luckB. Have funC. Well doneD. You’re joking27. —Daddy, can you come home for supper with us this weekend?—______, but I might be a little late.A. I’m busyB. Hard to sayC. Of courseD. Never mind28. Look! The boy ______ blue jeans ______ a bicycle.A. in; is ridingB. in; rideC. on; ridingD. on; is riding29. How many ______ are there in the box?A. packets of sweetB. packet of sweetC. packet of sweetsD. packets of sweets30. —Can I have 450 grams of cheese?—I’m sorry, but there ______ cheese.A. isn’t anyB. aren’t anyC. isn’t someD. aren’t some31. Miss Grey always ______ her car to school, but now she ______ to school.A. drive; walkB. drives; walksC. is driving; is walkingD. drives; is walking32. The International Convention Centre is the ______ for a three-day arts festival.A. ceremonyB. venueC. restaurantD. graveyard33. —What if I tell the host family about the food problem?—You’d better not. You will appear as a _____ person.A. fussyB. unhealthyC. horribleD. friendly34. —What would you like to eat, sir?—Just a minute. Let me see what is on the ______ today first.A. orderB. listC. menuD. bill35. —That is ______, and we cannot be sure about changes in the future.—Yes, I can’t help worrying about it.A. excitingB. fancyC. scaryD. interesting36. Their daily diet consists of a ______ of bread, a ______ of rice and water.A. slice; bowlB. bar; pieceC. bunch; glassD. slice; cup37. —Shall we meet at the school gate at 9 o’clock ______ Saturday morning?—Fine. See you then.A. inB. onC. atD. /38. —______ do you eat take-away food?—About 3 times a week.A. WhenB. How manyC. How oftenD. What date39. In the US, we have a tradition that when you ______ the candles on your birthday cake, you should make a wish.A. turn offB. take offC. put outD. blow out40. The company ______ some coffee ______ the guests every morning, but sometimes they turn it down.A. offers; forB. provides; withC. offers; toD. provides; toIII. Close Test (1’×10)These days, many people enjoy riding bikes. But there is a lot to 41 before you buy a bike. There are many kinds of bikes. That’s why it is often good to ask a(n) 42 before you buy a bike.Different bikes are made to do different things. If you want a bike, you need to get the right kind of bike. First, ask 43 where you plan to ride it. On city streets? On mountain roads? Or both? When you decide, you can 44 the bike for your needs. Next, be sure you get the right 45 of bike for you. Professional bike stores will take time to measure (量…...的尺寸大小) you. Then they will put the measurements 46 a computer. The computer will tell you a good size.You 47 need to choose other things like handlebars (把手) and a seat. And finally, you need to know 48 to ride the bike. You need to sit in a right way. You should be 49 when you ride the bike. A professional in a bike store can 50 you with these things. Then you will be ready to hit the road.41. A. think about B. hear from C. fall down D. make up42. A. teenager B. cook C. expert D. teacher43. A. myself B. yourself C. himself D. herself44. A. forget B. send C. bring D. choose45. A. size B. price C. service D. guide46. A. for B. of C. in D. as47. A. again B. also C. once D. already48. A. how B. why C. when D. where49. A. small B. angry C. traditional D. comfortable50. A. trust B. help C. mix D. useIV. Reading Comprehension.(2’x15)A. To paint the art room.B. To start a science fair.C. To visit Mr. Wayne’s class.D. To take care of the school’s garden.52.Which of the following is TRUE according to the material?A. Mr. King needs some yarn.B. School will be closed on March 16.C. There was a singing competition in Mr. Wayne’s class.D. Mrs. Mohan’s class will go to North Park Zoo by bike.53. This material is probably from ______.A. a guidebookB. a school notice boardC. a storybookD. an education magazineBThe best thing for me is my dog, Jasper. He’s a black Labrador and he’s great. I got him when I was nine. And we’ve grown up together. My uncle gave him to me for my ninth birthday. He is very cute.Ben There are lots of things I like that don’t cost anything. Let’s see….sunsets. My house is on a hill, and in the evening, there’s sometimes a beautiful sunset. It makes washing the dishes more interesting! I also love getting cards from my family. But the best thing is my son. He’s the most beautiful baby boy I’ve ever seen!MaryI think the best thing for me is playing with my little sister. Abby. She’s almost four, and I’m much older than her. I’ve also got a brother, Dominic. He’s six. But he doesn’t like the games I like, so he isn’t as much fun to play with. Abby’s always waiting for me when I come home from school. She thinks I’m the best person in the world.Laura54. Who gave Ben a dog for his 9th birthday?A. His mother.B. His father.C. His aunt.D. His uncle.55. What can we know about Mary?A. She has a lovely baby daughter.B. She enjoys a beautiful sunset every day.C. She enjoys getting cards from her family.D. She hardly ever washes the dishes at home.56. Laura thinks playing with her sister is _______.A. tiringB. interestingC. boringD. relaxingCHi Sophie,How are you? I’m fine. I hope you’re OK as well. The weather in London is great, and I’m living in a really cosy (舒适的) house with people from different countries. My best friend is called Izabela. She’s Polish and she came here five years ago. She’s a really nice person. Whenever I have a problem, she’s always there to help me. From time to time, we go out to the cinema or watch or watch a DVD together. At first, there was a bit of friction over cleaning the house. It was my fault (过错). You know, I really hate doing housework! Anyway, we solved that problem and we now get along fine. I really enjoy spending time with her. She is such a warm-hearted person.I have made a lot of friends here. In the evenings I often have people round for a meal and I like to cook them Korean food. Last night I cooked Korean noodles for some Italian friends, it was so spicy (辣的) for them that they almost cried; it was really funny! After dinner, we had aheart-to- heart talk about our dreams. It was quite an enjoyable night! I’ve also met a lovely South African man called Munyani. We sometimes go out to a library or a museum; we have a great time together. Some of my friends are going back to their countries soon, and we’ll keep in touch by email.Next month I’m going on holiday to Italy with a Japanese friend. I’ll tell you all about it when I’m back in Korea. I can’t wait to see you. I miss you so much.All for now-write back soon!57. From the letter, we can know that Izabela ______.A. is nice and helpfulB. is one of Jina’s classmatesC. went to Poland five years agoD. hated watching movies before58. What does the underlined word “friction” mean in Chinese?A. 培训B. 研究C. 摩擦D. 沟通59. How did Jina feel last night?A. Bored.B. Happy.C. Shocked.D. Luckily.60. What does Jina mainly talk about in the letter?A. What her life is like in London.B. Why she loves to stay in London.C. How she gets on with her roommates.D. What her plan is for the coming holiday.DA traveler was once staying in a village of another country. One day, she held up her camera to take pictures of the children at play. Suddenly the young ones began to shout.The traveler’s face turned red and she said sorry to the head for what she was doing, and told him she had forgotten that people in some places thought a person would lose his soul (灵魂) if his picture was taken. She explained (解释) to him the operation of a camera for a long time. Several times the head tried to say something, but he couldn’t.When she was sure she had put the head’s fear (害怕) to rest, the traveler then let him speak. With a smile, he said, “The children were trying to tell you that you forgot to take off the cap (镜头盖)!”61. The children shouted when the traveler was taking pictures of them because ______.A. they didn’t want the traveler to take any picturesB. the traveler was not doing well with her cameraC. the traveler would take their souls at onceD. the traveler forgot to take off the cap from her head62. The traveler said sorry to the head because ______.A. she had stayed in the village too longB. the children thought they would lose their camerasC. she thought the children were afraid of being taken photosD. she didn’t take a picture of the head first63. The traveler explained how to use a camera to the head because ______.A. the head wanted to learn how to take picturesB. She was afraid of the headC. She wanted the head not to worry about what she was doingD. The head was very interested in her camera64. When the head smiled, it was clear that ______.A. the traveler didn’t let him speakB. the children wanted to play with herC. he wanted the traveler to tell him the truthD. the traveler didn’t know what the children meant65. Which of the following is NOT true?A. The children wouldn’t mind if the traveler took pictures of them.B. The tra veler didn’t understand why the children shouted at first.C. The traveler knew something about people in some countries.D. The head was afraid that the traveler took pictures of the children at play.Part Two (共40分)V. Spot Dictation. (1’×5)Mario Green and Mary Brown from Riverside High School (66) several hours each week to help others.Mario loves animals and wants to be an animal (67). He volunteers at an animal hospital every Saturday morning. Mario believes it can help him to get his (68) dream job. “it’s hard work,” he says, “but I want to learn more about how to care for animals. I get such a strong (69) of satisfaction when I see the animals get better and the look of joy on their owners faces.”Marie is a book lover, she could read by herself at the age of four. Last year, she decided to try out for a volunteer after-school reading program. She still works there once a week to help kids learn to read. “The kids are sitting in the library, but you can see it in their eyes they’re going on a different journey with each new book. (70) here is a dream come true for me. I can do what ii love to do and help others at the same time.”66. ______ 67. _______ 68. ______ 69. _______ 70. _______VI. Match the words with their definitions. (1’×5)( ) 71. treatment A. the subject matter of a conversation or discussion( ) 72. telescope B. allowing different choices( ) 73. alternative C. a person related by blood or marriage( ) 74. theme D. medical attention given to a sick or injured person or animal( ) 75. relative E. an instrument with lenses that makes distant things larger and nearer when you look throughVII. Fill in the blanks according to the texts. (1’×5)76. —Let’s take the ______ off the wheel.—Put the tube in this basin, Sandy.77. Now they’re eating sandwiches, cakes and ______. They’re drinking lemonade, too.78. Inside the hotel, there are two bedrooms, and a dining room for the ______.79. However, most ______ eat eggs, cheese and other dairy products, but vegans don’t.80. However, most doctors believe that fruitarians do not have a ______ diet.VIII. Fill in the blanks with the correct forms of the words given. (1’×10)81. —I am crazy about chocolate.—You’d better eat less. As we all know, chocolate is ______ (rat).82. The Prime Minister of UK, has accepted an ______ (invite) to visit the White House in June.83. Look! The boys ______ (clean) their classroom. Let’s clean ______ (we).84. The first train ______ (leave) for London at 5 a.m. every day in Winter.85. Le t’s ______ (stop) talking about the holiday and get down to study right now.86. —He has a (an) ______ (health) diet and he doesn’t exercise at all.—That’s why he is fat.87. Every December, our family go to Oxford Street to buy some gifts and some Christmas. (decorate)88. That couple always holds a little ______ (celebrate) every year on their wedding anniversary.89. They might look ______ (taste) but you probably wouldn’t want one of these on your toast in the morning.IX. Complete the sentences with correct words. The first letters have been given to you. (1’×5) 90. —Some children find it difficult to talk to a______.—I think children and their parents need a good way to communicate and know each other.91. If a couple has got everything when they get m_____, what should they expect in the future?92. It’s still p_____ for her to talk about the terrible accident. It is very difficult and unpleasant for her.93. If you are lucky to have a f______ ticket for the theater, you can enjoy the play without paying for it.94. I’m totally c______ Could you explain that again?X. Sentence Patterns. (1’×10)95. There are some spoons on the table. (Change the sentences into interrogatives)96. I’d like some bread and juice for breakfast. (Change the sentences into interrogatives)97. Close the windows when you leave the classroom. (Change the sentences into interrogatives)98. There is going to be football match next week. (Change the sentences into interrogatives)99. Jenny usually spends ￡80 at weekends. (Ask a question to the underlined part)100. James and Rosie are both from Ireland. (Ask a question to the underlined part)101. He shouldn’t 101. He shouldn’t excise too much. (Ask a question to the underlined part) 102. I can see a boy. He is playing basketball in the playground. (Join the two into one)103. Why not discover what you enjoy and do that? (Say it in another way)104. Bring me an old shirt to protect my clothes. (Say it in another way)。
湖北省武汉市洪山区 2023-2024学年七年级下学期期中质量检测英语试卷
洪山区2023-2024学年度第二学期期中质量检测七年级英语试卷洪山区教育科学研究院命制2024. 4. 24亲爱的同学：在你答题前，请认真阅读下面的注意事项。
1. 本卷共4 页，7 大题，满分120 分。
考试用时120 分钟。
2. 答题前，请将你的姓名、班级、学校填在试卷和答题卡相应的位置，并核对条码上的信息。
3. 答选择题时，选出每小题答案后，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，再选涂其他答案。
答在”试卷”上无效。
4. 答非选择题时，答案用0. 5 毫米黑色笔迹签字笔写在答题卡上。
答在”试卷”上无效。
5. 认真阅读答题卡上的注意事项。
预祝你取得优异成绩！第Ⅰ卷(选择题共80 分)第一部分听力部分一、听力测试(共三节，满分25分)第一节(共5小题，每小题1分，满分5分)听下面5个问题。
每个问题后有三个答语，从题中所给的A、B、C三个选项中选出最佳选项。
听完每个问题后，你都有5秒钟的时间来作答和阅读下一小题。
每个问题仅读一遍。
1. A. China. B. Dance. C. Lazy.2. A. No, we can’t. B. Just do it. C. Yes, we do.3. A. By bike. B. About 15 minutes. C. Two kilometers.4. A. On weekends. B. Exercise. C. At seven.5. A. The chess club. B. Speak English. C. Great.第二节。
(共7小题，每小题1分，满分7分)听下面7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。
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。
6. What time does Linda get up on Tuesday?A. At 7: 20.B. At 6: 00.C. At 6: 20.7. What does Peter want to borrow from Sally?A. The bike.B. The key.C. The book.8. What drink would the woman like?A. Water.B. Tea.C. Coffee.9. What can’t elephants do?A. Play soccer.B. Draw pictures.C. Swim.10. How much are the two skirts?A. ¥ 120.B. ¥130.C. ¥110.11. Which picture shows where Lisa is?A. B. C.12. What are they talking about?A. Music.B. Stories.C. Rules.第三节(共13 小题，每小题 1 分，满分13 分)听下面4段对话或独白。
2022-2023学年湖北省武汉市武昌区七校联考七年级(下)期中数学试卷(含解析)
2022-2023学年湖北省武汉市武昌区七校联考七年级（下）期中数学试卷学校:___________姓名：___________班级：___________考号：___________第I卷（选择题）一、选择题（本大题共10小题，共30.0分。
在每小题列出的选项中，选出符合题目的一项）1. 下列实数中最小的是( )A. −πB. −3C. −5D. −22. 116的平方根是( )A. ±12B. ±14C. 14D. 123. 下列命题为真命题的有( )①内错角相等；②无理数都是无限小数：③在同一平面内，过一点有且只有一条直线与已知直线垂直；④过一点有且只有一条直线与已知直线平行A. 0个B. 1个C. 2个D. 3个4. 已知M(1,−2)，N(−3,−2)，则直线MN与x轴，y轴的位置关系分别为( )A. 相交，相交B. 平行，平行C. 垂直，平行D. 平行，垂直5.如图，给出下列条件：①∠1=∠2：②∠3=∠4：③AB//CE，且∠ADC=∠B：④AB//CE，且∠BCD=∠BAD.其中能推出BC//AD的条件为( )A. ①②B. ②④C. ②③D. ②③④6. 如图，AB//DF，AC⊥BC于点C，CB的延长线与DF交于点E，若∠A=25°，则∠CEF等于( )A. 65°B. 115°C. 110°D. 125°7. 已知点P(2−a,3a+6)到两坐标轴距离相等，则P点坐标为( )A. (3,3)B. (6,−6)C. (3,3)或(6,−6)D. (3,−3)8.如图，AB//CD，点E为AB上方一点，FB，HG分别为∠EFG，∠EHD的角平分线，若∠E+2∠G=150°，则∠EFG的度数为( )A. 90°B. 95°C. 100°D. 150°9. 如图，长方形BCDE的各边分别平行于x轴或y轴，物体甲和物体乙分别由点A(4,0)，F(−4 ,0)同时出发，沿长方形BCDE的边作环绕运动.物体甲按逆时针方向以4个单位/秒匀速运动，物体乙按顺时针方向以2个单位/秒匀速运动，则两个物体运动后的第2023次相遇地点的坐标是( )A. (4,0)B. (−4,0)C. (−2,−2)D. (−2,2)10.如图，已知AB//CD，点E，F分别在直线AB，CD上，点P在AB，CD之间且在EF的左侧．若将射线EA沿EP折叠，射线FC沿FP折叠，折叠后的两条射线互相垂直，则∠EPF的度数为( )A. 120°B. 135°C. 45°或135°D.60°或120°第II卷（非选择题）二、填空题（本大题共6小题，共18.0分）11. 计算：(−7)2=______ ．12. 若2≈1.414，20≈4.472，则200≈______．13. 已知点P(1−x,2x+1)在x轴上，则点P坐标是______ ．14. 若同一平面内的∠A与∠B，一组边互相平行，另一组边互相垂直，且∠A比∠B的2倍少30°，则∠B的度数=______．15. 已知点A(3,4)，B(−1,−2)，将线段AB平移到线段CD，若点A的对应点C落在x轴上，点B 的对应点D落在y轴上，则线段AB与y轴的交点P经过平移后对应点的坐标为______ ．16. 如图，已知长方形纸片ABCD，点E，F在BC边上，点G，H在AD边上，分别沿EG，FH 折叠，点B和点C恰好都落在点P处.若∠EPF=50°，则α+β=______ ．三、解答题（本大题共8小题，共64.0分。
湖北省武汉市七年级下学期英语期中试卷(含答案)
湖北省武汉市七年级下学期英语期中试卷阅卷人一、选择填空。
从题中所给的ABCD四个选项中，选出一个最佳答案。
（共15小题,每小题1分,满分15分）得分1．—Don't eat in the library!—________.A．OK,I will B．Sorry,I won'tC．I don't think so D．I'm afraid not2．—Does the soup________nice?—Yes,it's hot,but really delicious.A．sound B．smell C．taste D．look3．—What does your father often do after dinner?—He often________after supper.But now,he________.A．reading newspapers;listening to music B．reads newspapers;listens to musicC．reads newspapers;is listening to music D．is reading newspapers;listens to music 4．—Thanks a lot for your help with my English!—________.A．It doesn't matter B．With pleasureC．My pleasure D．OK5．—How do you like your new job at school?—Terrible!I find it hard to keep the________kids quiet in class.A．smart B．noisy C．afraid D．funny6．—Why are you late,Tom?—My dad drives me to school every day,but today his car doesn't________.A．work B．walk C．arrive D．drive7．—Are all these girls from Wuhan?—No,only ten of them are.________are from________cities.A．Others;other B．The other;anotherC．The others;another D．The others;other8．—I enjoy myself reading in this________afternoon.—That sounds relaxing.A．terrible B．slow C．lazy D．busy 9．—Bob,can you give me a________back to my school?—Sure,get into the car,please.A．minute B．stop C．ride D．way10．—May I drink the milk,Mum?—Wait a moment,honey!You________make sure it isn't too hot first.A．can B．must C．may D．will 11．—Students sit too long in front of the computer,so more and more kids are near—sighted.—They should do eye________and take________every day.A．exercises;exercise B．exercises;exercisesC．exercise;exercise D．exercise;exercises12．—I hear Jim joins the chess club,does he like playing chess?—Yes,he______great interest in it after he comes to China.A．saves B．shows C．draws D．pays13．—Do you often go to the library to read a newspaper on weekends?—Yes,and we go there________on Saturday________on Sunday.A．neither;nor B．between;andC．either;or D．from;to14．—The doctor says I smoke too much.Now I'm trying to___________on cigarettes.—Really?Then I should learn from you.A．cut off B．cut down C．cut out D．cut in 15．—Excuse me,can you tell me________?—Oh,it's at3：00p.m..A．when is Lily's birthday party B．how I can get to the zooC．what time the P.E.class is D．why does he learn Chinese Kungfu阅卷人二、完形填空。
湖北省武汉市武昌区七校联考2023-2024学年七年级下学期期中英语试题
湖北省武汉市武昌区七校联考2023-2024学年七年级下学期期中英语试题一、单项选择1．—Hello, is that Jack speaking?—A．Who are you?B．No, I’m Jill.C．Speaking, please.D．Yes, I’m Jack.2．—Hurry up, ________we’ll be late for the party.—Don’t worry. It’s only six o’clock by my watch.A．or B．but C．and D．so3．—The weather is ________ too hot ________ too cold these days. Let’s go to Qinhu Lake for a picnic.—OK.A．either; or B．neither; nor C．not only; but also D．both; and4．—________ is it from your home to school?—It’s about ten minutes’ walk.A．How long B．How far C．How many D．How much 5．—Why do you like English so much?—Because English is a ________ to the world.A．ride B．trip C．bridge D．rule6．—Jeff, how could you make it so clear when you called the police for help?—well, I sounded so calm (冷静) but my mind was .A．running B．jumping C．racing D．moving7．Now schools ________ some of the homework so that students can have more free time to relax themselves.A．cut down B．take down C．get down D．put down8．—Do you know the Yingwuzhou Yangtze River Bridge?—That’s for sure. It _______ Hanyang and Wuchang.A．gets B．visits C．crosses D．joins9．—Do you know the app called Ernie Bot (文心一言)? It is an AI chatbot developed by Baidu.—Yes. I often use it to help me write stories. It’s very ________.A．smart B．scary C．beautiful D．lazy10．The Chinese poem Thinking of my Brothers on Mountain Climbing Day written by Wang Wei shows ________.A．why is he so lonelyB．where do his brothers come fromC．how he misses his brothersD．when are they climbing the mountains二、完形填空The teacher stands before his class and is going to hand out the final exam papers. “I know how 11 you have all worked for this test,” he says. “and because I know you can do it well, I am going to give a B to anyone who doesn’t 12 to take the test.”Many students jump up to 13 the teacher and leave the classroom. The teacher14 the remaining (剩下的) students and says, “Does anyone else want to get a B? This is your15 chance.” Two more students decide (决定) to 16 .Seven students remain. The teacher then hands out the 17 . There are only 3 sentences on the paper: Congratulations! (祝贺) You just 18 an A in this class. Keep believing in 19 .I 20 had a teacher like that, but I think it is a test that any teacher could and should give. Students who don’t believe in what they have 21 are just B students.The same is true in real life. The A students are those who believe in what they are doing because they have 22 both success and failure (失败). They have learned life lessons and have become 23 people. You are a big child now, and you 24 that you have some weaknesses(缺点). However, there is 25 you can’t do or learn.11．A．luckily B．terribly C．hard D．fast12．A．hate B．help C．wait D．want 13．A．visit B．thank C．call D．invite14．A．laughs at B．agrees with C．thinks of D．looks at 15．A．last B．first C．second D．third 16．A．sleep B．leave C．play D．travel 17．A．results B．gifts C．papers D．lists18．A．get B．learn C．find D．give 19．A．yourself B．myself C．himself D．themselves 20．A．always B．never C．sometimes D．often 21．A．taken B．learned C．held D．kept 22．A．grew up B．dreamed of C．leaned from D．cared about 23．A．quieter B．busier C．lazier D．better 24．A．forget B．wish C．decide D．know 25．A．nothing B．anything C．everything D．something三、阅读理解Learning in the FieldA fun farming class took place in the fields! On Sept 15, Grade 7 students from Jinan No.34 Middle School, Shandong, went on a field trip. They learned about farming, reported Qilu News. At the grain base (粮食基地), teachers talked about grains with students and answered their questions. The students saw millet and soybeans (小米和大豆). They touched the wheat (小麦) and learned that people usually harvest (收获) the wheat at the end of September.Young Reporters Put on a Show at SchoolStudents at Johnson Middle School in US, are reporting their school’s news in their own news program. The students take turns to make the program. They set up a green screen, sit down and give their classmates the headlines (新闻提要) of the day. They include (包括) what’s going on in the school and news about future events. They share the lunch menu of the day. “The kidscome in excitement. They love being on the news and sharing the news with other kids. They are eager (渴望) to know what’s happening around them.” said B．J. Burke, the school teacher.________On Nov 8, students from Nanjing Foreign Language School have a special class. During the class, they have a hands-on experience of making folk clothes. The students took on the challenge (挑战) making their own bags through tie-dyeing (扎染). It is a dyeing skill to make blue calico (印花布). The dye and the cotton material (材料) used to make blue calico all come from nature. “Tie-dyeing is a magical art. Everyone does it a bit differently, and you never know exactly how it will look in the end.” said Ma Qianyu, a grade 8 student, happy with her work. The students will later go to Nanjing Museum to get more knowledge about life in Jiangsu and the folk customs there.26．In which section of the newspaper can we read the news?A．CULTURE.B．SCHOOL.C．HISTORY.D．ART.27．According the first piece of news, students might Have not learnt ________.A．what real soybeans look likeB．how soybeans growC．how grains turn into snacks (小吃)D．when people harvest the wheat28．The best heading for the third piece of news would be ________.A．Get Close to NatureB．Tie-dye Fun in SchoolC．Long History of JiangsuD．A Visit to Nanjing Museum29．The students love being on the news and sharing the news because the news program________.A．is connected to (与……有关联) their real lifeB．makes them famousC．can help develop their acting skillsD．helps them make good friends30．What can we learn from the materials?A．Only Grade 7 students in Jinan No.34 Middle School can learn in the fields.B．Ma Qianyu might have fun in the special class.C．Students at Johnson Middle School don’t like their school lunch.D．Students buy the dye and the cotton material (材料) from clothes stores.When I was a child, watermelon (西瓜) was too expensive for my family. One of my father’s friends, Bernie,was a rich businessman. He owned a large fruit store in another place.Every summer, when the first watermelons arrived, Bernie would give us a call. My father and I would go to Bernie’s place. We would sit on the dock (码头) happily and get ready for a big meal.Bernie would take a big watermelon out, cut it up, give us both a big piece and sit down next to us. Then we three would put our faces into the watermelon, eating it happily.In my father’s eyes, Bernie was a real rich man. I always thought it was because he was a successful businessman. Later I learned that it was not Bernie’s money that made my father think like that. My father thought he was rich because of the way he lived his life. Bernie knew when to stop working, get together with friends and enjoy his “watermelon”.When I grew up, because I was too busy making money as a doctor, I forgot the lesson I once learned on the dock. Well, now I’ve relearned it. Though (尽管) I’m still busy working as a doctor, I will try to slow down and take the time to enjoy the small pleasures (快乐) of my life. 31．Which of the following things can be a “watermelon” for Bernie? ________ A．Being popular with others.B．Meeting friends.C．Having a lot of money.D．Going on a business trip.32．The writer’s father thinks Bernie is a real rich man because Bernie ________.A．has a large storeB．is a successful businessmanC．is ready to help othersD．knows when to slow down33．What does the underlined word “relearned” mean? ________A．It means learning something again.B．It means taking classes in the classroom.C．It means forgetting something quickly.D．It means changing something.34．The writer mainly wants to tell us ________.A．to work harderB．to make more friendsC．to stop workingD．to enjoy our life35．What can we learn from the passage? ________A．The writer’s family was very poor when he was a child.B．The writer now thinks making money is not important.C．The writer doesn’t want to be a doctor anymore.D．The writer might learn a lot from Bernie.①It’s often believed that only grown-ups can make a difference (产生影响). Is it true? Teen V ogue interviews (采访) some teenagers across the world. Get ready to be inspired (启发).①16-year-old Michael starts using social media (媒体) to cheer up teenagers of his age to follow their dreams on his baseball blogs (博客). Michael also writes about sports people and how they will face their challenges.①Lesein, 14 years old, first learns about climate change when he is twelve years old. His home country of Kenya loses about 29,650 acres (英亩) of forest each year.①With a deep love of soccer, Lesein starts Trees for Goals, planting a tree for every goal he scores in a match. Later the school’s soccer and basketball teams all follow him. In 2019, almost 1,000 trees in forests outside of Nairobi are planted. Now the government provides (提供) trees for them to plant.①Alexis Lewis, a 15-year-old inventor, designs a simple wheelchair with bamboo to helppoor people who need to transport children many miles to hospitals. Another invention of his is a special mask which can be thrown through a window of a smoke-filled building to people inside.①Alexis said, “People are dying because they can’t be saved in time. Another reason why I want to invent something is that I love physics and I use it to improve technologies.” Alexis also tells our reporter that he wants children to know that ________.①These young people are certainly shining examples to show you’re never too young to make a difference.36．How does Michael influence (影响) other teenagers? ________A．By following his dream.B．By using social media.C．By talking to teenagers.D．By playing baseball.37．What does Lesein do to help fight climate change? ________A．He starts Trees for Goals and keeps planting trees.B．He follows soccer and basketball teams to plant trees.C．He plants almost 1,000 bamboos outside of his school.D．He uses social media to call on other children to plant trees.38．Which of the following can be put in the ________?A．Only small dreams can make big changes to the whole world.B．inventors can be anybody who tries to solve (解决) a problem.C．we all should start planting trees to make the earth a better place.D．you don’t have to be an inventor if you are not good.39．The passage is mainly about________.A．the ways to make a differenceB．teenagers are the future of the worldC．an interview with teenagersD．teenagers can make changes to the world40．Which is the right structure of the passage? ________①paragraph 1,①paragraph 2, ... .A．B．C．D．四、选词填空阅读下面的短文，用方框中所给的单词或短语填空，使短文在结构、语意和逻辑上正确。
武汉外校2016~2017学年度下学期期中考试七年级数学试卷(word版有答案)
2016~2017下学期武汉外国语学校初中一年级期中考试数学试题一、选择题（共10小题，每小题3分，共30分）1．下列各数中，是有理数的是（ ）AB． C ．π D ．132．如图，已知AB ∥CD ，直线EF 分别交AB 、CD 于点E 、点F ，且EG 平分∠BEF ，若∠1=50°，则∠2的度数为（ ）A ．50°B ．60°C ．65°D ．70°21G AD C FB E3．下列方程组中是二元一次方程组的是（ ）A ．4677814x y x z +=⎧⎨+=⎩B ．241312y x x y ⎧+=⎪⎪⎨⎪-=⎪⎩C ．1230xy x y =⎧⎨+=⎩D ．562422x y x y ⎧+=⎪⎪⎨⎪+=⎪⎩ 4．下列命题中，真命题是（ ）A ．相等的角是对顶角B ．同旁内角互补C ．平行于同一条直线的两条直线互相平行D ．垂直于同一条直线的两条直线互相垂直5．线段CD 是由线段AB 平移得到的，点A （－1，4）的对应点为C （4，7），则点B （－4，－1）的对应点D 的坐标为（ ）A ．（2，9）B ．（5，3）C ．（1，2）D ．（－9，－4）6．方程2x +3y =8的正整数解的个数是（ ）A ．4B ．3C ．2D ．17．如图，直线AB 、CD 相交于点O ，OE ⊥CD ，OF ⊥AB ，图中与∠2互补的角共有（ ）A ．0个B ．1个C ．2个D ．3个A DCFBE O 128．我国民间流传这样一道题：只闻隔壁人分银，不知多少银和人；每人7两多7两，每人半斤少半斤．设有x 人、y 两银（古代1斤等于16两），则所列方程组正确的是（ ）A ．7788x y x y +=⎧⎨+=⎩B ．7788x y x y +=⎧⎨-=⎩C ．7788x y x y -=⎧⎨+=⎩D ．7788x y x y-=⎧⎨-=⎩ 9．如图，AB ∥CD ，则∠1、∠2、∠3、∠4的关系是（ ）A ．∠1－∠2+∠3+∠4=180°B ．∠1+∠2+∠3=∠4C ．∠1+∠2－∠3+∠4=180°D ．无法确定1234ADC F B E10．四条直线两两相交且任意三条直线不相交于同一点，则这四条线共可构成内错角有（ ）A ．48对B ．24对C ．16对D ．12对二、填空题（本大题共6个小题，每小题3分，共18分）11=________．123x -，则x 的取值范围是___________．13．将一张长方形纸条ABCD 沿EF 折叠后，ED 与BF 交于G 点，若∠EFG =58°，则∠BGE 的度数为__________．GA DCF B E MN14．∠1的两边垂直于∠2的两边，且∠1比∠2的32倍少70°，则∠1的度数是________． 15．已知非零实数a 、b 满足丨2a －4丨+丨b +2丨+4=2a ，则a +b 等于_______．16．已知1a ，2a ，3a ，4a ，5a 是满足条件1a +2a +3a +4a +5a =9的五个不同的整数，若b 是关于x 的方程（x －1a ）（x －2a ）（x －3a ）（x －4a ）（x －5a ）=2009的整数根，则b 的值为__________．三、解答题（共8题，共72分）17．（本题7分）完成下面的推理填空如图，E 、F 分别在AB 和CD 上，∠1=∠D ，∠2与∠C 互余，AF ⊥CE 于G ，求证：AB ∥CD ． 证明：∵AF ⊥CE ∴∠CGF =90°（垂直的定义）∵∠1=∠D （已知）∴_________∥_________（ ）∴∠4=___________=90°（ ）又∵∠2与∠C 互余（已知），∠2+∠3+∠4=180°∴∠2+∠C =∠2+________=90°∴∠C =_________∴AB ∥CD （ ）G ADC F BE 123418．计算（本题6分）（1（2）1)219．（本题12分）解二元一次方程组：（1）21325x y x y +=-⎧⎨-=-⎩ （2）231734121623x y x y ⎧+=⎪⎪⎨⎪-=-⎪⎩ （3）35()3634()36x x y y x y ++=⎧⎨++=⎩ （4）322511431232254525x y x y x y x y --⎧+=⎪⎪⎨--⎪-=-⎪⎩ 20．（本题6分）已知M=m +3的算术平方根，N=24m n -n －2的立方根，试求M －N 的值．21．（本题7分）如图，在平面直角坐标系xOy 中，△ABC 三个顶点的坐标分别为A （－5，1），B （－4，4），C （－1，－1）．将△ABC 向右平移5个单位长度，再向下平移4个单位长度，得到△'''A B C ，其中点'A ，'B ，'C 分别为点A ，B ，C 的对应点．（1）请在所给坐标系中画出△'''A B C ，并直接写出点'C 的坐标；（2）若AB 边上一点P 经过上述平移后的对应点为'P （x ，y ），用含x ，y 的式子表示点P 的坐标；（直接写出结果即可）（3）求△'''A B C 的面积22．（本题6分）如图，AF ∥DE ，B 为AF 上一点，∠ABC =60°，交ED 于C ，CM 平分∠BCE ，∠MCN =90° （1）求∠DCN 的度数（2）若∠CBF 的平分线交CN 于N ，求证：BN ∥CMF AD CB E M N23．（本题6分）列方程（组）解应用题打折前，买60件A 商品和30件B 商品用了1080元，买50件A 商品和10件B 商品用了840元. 打折后，买500件A 商品和500件B 商品用了9600元，比不打折少花费多少钱？24．（本题10分）如图，在△ABC 中，点D 是AC 延长线上的一点，过点D 作DE ∥BC ，DG 平分∠ADE ，BG 平分∠ABC ，DG 与BG 交于点G ．（1）证明：∠A =∠ACF －∠ABC ；（2）如图1，若∠A =50°，求∠G 的度数；（3）如图2，连接FE ，若∠DFE =12∠ABC +∠G ，求证：FE ∥AD ． HG ADCF B E图1图2E B F C D A H 25．（本题12分）在平面直角坐标系中，A （a ，b ）、B （c ，d ）4b d --=0（1）如果a =－1，b =－3，求：A 、B 两点的坐标．（2）如果a =－1，b =－3，求直线AB 与x 轴交点M 以及与y 轴交点N 的坐标．（3）如果点A 在x 轴上方平行于x 轴且到x 轴距离等于2的直线上运动，若△ABO 面积≤21，求a 的取值范围．。
2020-2021学年湖北省武汉市七年级(下)期中数学试卷
2020-2021学年湖北省武汉市七年级（下）期中数学试卷1.下列式子中错误的是()A. ±√0.09=±0.3B. (±0.2)2=0.04C. √−83=−2 D. |−2|3=−|2|32.若a>b，则下列不等式变形正确的是()A. a+5<b+5B. a3<b3C. −4a>−4bD. 3a−2>3b−23.在实数−√2、0．1⋅0⋅、1π、0.202020、13中，属于无理数的有()个．A. 1个B. 2个C. 3个D. 4个4.如图，直线AB与直线CD相交于点O，OE⊥AB，垂足为O，∠EOD=30°，则∠BOC=()A. 150°B. 140°C. 130°D. 120°5.如图，数轴上表示某不等式组的解集，则这个不等式组可能是()A. {x+1≥02−x≥0B. {x+1≤02−x≥0C. {x+1≤0x−2≥0D. {x+1≥0x−2≥06.已知P(2−x,3x−4)到两坐标轴的距离相等，则x的值为()A. 32B. −1 C. 32或−1 D. 32或17.《孙子算经》中有一道题，原文是：“今有木，不知长短．引绳度之，余绳四尺五寸；屈绳量之，不足一尺．木长几何？”意思是：用一根绳子去量一根长木，绳子还剩余4.5尺；将绳子对折再量长木，长木还剩余1尺，问木长多少尺．设木长为x 尺，绳子长为y尺，则下列符合题意的方程组是()A. {y=x+4.512y=x+1B. {y=x+4.512y=x−1C. {y=4.5−x12y=x+1D. {y=x−4.512y=x−18.下列说法正确的个数是()①同位角相等；②过一点有且只有一条直线与已知直线垂直；③过一点有且只有一条直线与已知直线平行；④三条直线两两相交，总有三个交点．A. 1个B. 2个C. 3个D. 4个9.如图，在平面直角坐标系上有点A(1,0)，点A第一次向左跳动至A1(−1,1)，第二次向右跳动至A2(2,1)，第三次向左跳动至A3(−2,2)，第四次向右跳动至A4(3,2)…依照此规律跳动下去，点A第124次跳动至A124的坐标()A. (63,62)B. (62,61)C. (−62,61)D. ( 124，123)10.如图，AB//CD，∠DCE的角平分线CG的反向延长线和∠ABE的角平分线BF交于点F，∠E−∠F=36°，则∠E=()A. 82°B. 84°C. 97°D. 90°11.−√64的立方根是______．12.若不等式5(x−2)+8<6(x−1)+7的最小整数解是方程2x−ax=3的解，则a的值为______ ．13.如图，已知AB//DE，∠ABC=75°，∠CDE=160°，则∠BCD的度数为______．14.若2+√13的小数部分为a，7−√13的小数部分为b，则a+b的平方根为______．15.定义“在四边形ABCD中，若AB//CD，且AD//BC，则四边形ABCD叫做平行四边形．”若一个平行四边形的三个顶点的坐标分别是(0,0)，(3,0)，(1,3)，则第四个顶点的坐标是______．16. 不等式组{m +1<x <m +72<x <6有解且解集是2<x <m +7，则m 的取值范围为______．17. (1)计算：√(−2)2−√83+√−1273；(2)计算：√2(√2+2)−√2．18. (1)解方程组：{4x −3y =112x +y =13；(2)解不等式组：{5x −3≤2(x +1)x+22−x−16≥1．19. 请把下面证明过程补充完整如图，已知AD ⊥BC 于D ，点E 在BA 的延长线上，EG ⊥BC 于C ，交AC 于点F ，∠E =∠1． 求证：AD 平分∠BAC ．证明：∵AD ⊥BC 于D ，EG ⊥BC 于G(______)， ∴∠ADC =∠EGC =90°(______)， ∴AD//EG(______)， ∴∠1=∠2(______)， ∴______=∠3(______)，又∵∠E =∠1(已知)，∴∠2=∠3(______)， ∴AD 平分∠BAC(______)20.如图，AB//CD，∠1=∠2，求证：∠F=∠M．21.三角形ABC(记作△ABC)在8×8方格中，位置如图所示，A(−2,1)，B(−1,4)．(1)请你在方格中建立直角坐标系，并写出C点的坐标；(2)把△ABC向上平移2个单位长度，再向右平移3个单位长度，请你画出平移后的△A1B1C1，若△ABC内部一点P的坐标为(a,b)，则点P的对应点P1的坐标是______．(3)在x轴上存在一点D，使△DBC的面积等于3，则点D的坐标为______．22. 对x ，y 定义一种新运算T ，规定：T(x,y)=ax+by x+2y(其中a 、b 均为非零常数)，这里等式右边是通常的四则运算，例如：T(0,1)=a×0+b×10+2×1=b ．(1)已知T(2,1)=54，T(−1,1)=−1． ①求a ，b 的值；②若关于m 的不等式组{T(2m,5−m)≤1T(4m,3−2m)>P 恰好有3个整数解，求p 的取值范围； (2)若T(x,y)=T(y,x)对任意有理数x ，y 都成立(这里T(x,y)和T(y,x)均有意义)，则a ，b 应满足怎样的关系式？23. 用1块A 型钢板可制成1块C 型钢板、3块D 型钢板；用1块B 型钢板可制成2块C 型钢板、1块D 型钢板．(1)现需150块C 型钢板、180块D 型钢板，则恰好用A 型、B 型钢板各多少块？ (2)若A 、B 型钢板共100块，现需C 型钢板至多150块，D 型钢板不超过204块，共有几种方案？(3)若需C 型钢板80块，D 型钢板不多于45块(A 型、B 型钢板都要使用).求A 、B 型钢板各需多少块？24. 如图1，在平面直角坐标系中，A(a,0)，B(b,3)，C(4,0)，且满足(a +b)2+|a −b +6|=0，线段AB 交y 轴于F 点． (1)求点A 、B 的坐标．(2)点D为y轴正半轴上一点，若ED//AB，且AM，DM分别平分∠CAB，∠ODE，如图2，求∠AMD的度数．(3)如图3，(也可以利用图1)①求点F的坐标；②点P为坐标轴上一点，若△ABP的三角形和△ABC的面积相等？若存在，求出P 点坐标．答案和解析1.【答案】D【解析】解：A、±√0.09=±0.3，原运算正确，故本选项不符合题意；B、(±0.2)2=0.04，原运算正确，故本选项不符合题意；C、√−83=−2，原运算正确，故本选项不符合题意；D、|−2|3=|2|3，原运算错误，故本选项符合题意．故选：D．根据平方根、立方根以、绝对值、有理数的乘方解答即可．本题考查了平方根、立方根以、绝对值、有理数的乘方．解题的关键是掌握平方根、立方根以、绝对值的定义，有理数乘方的运算负责．2.【答案】D【解析】解：A、在不等式a>b的两边同时加上5，不等式仍成立，即a+5>b+5.故A选项错误；B、在不等式a>b的两边同时除以3，不等式仍成立，即a3>b3.故B选项错误；C、在不等式a>b的两边同时乘以−4，不等号方向改变，即−4a<−4b.故C选项错误；D、在不等式a>b的两边同时乘以3，再减去2，不等式仍成立，即3a−2>3b−2.故D选项正确；故选：D．根据不等式的性质1，可判断A；根据不等式的性质2，可判断B；根据不等式的性质3，可判断C，；根据不等式的性质1和2，可判断D．本题主要考查了不等式的基本性质：(1)不等式两边加(或减)同一个数(或式子)，不等号的方向不变．(2)不等式两边乘(或除以)同一个正数，不等号的方向不变．(3)不等式两边乘(或除以)同一个负数，不等号的方向改变．3.【答案】B【解析】解：0．1⋅0⋅是循环小数，属于有理数；0.202020是有限小数，属于有理数；13是分数，属于有理数．无理数有：−√2、1π共2个．故选：B．无理数就是无限不循环小数．理解无理数的概念，一定要同时理解有理数的概念，有理数是整数与分数的统称．即有限小数和无限循环小数是有理数，而无限不循环小数是无理数．由此即可判定选择项．此题主要考查了无理数的定义，其中初中范围内学习的无理数有：π，2π等；开方开不尽的数；以及像0.1010010001…，等有这样规律的数．4.【答案】D【解析】解：∵EO⊥AB，∴∠BOE=90°，∵∠EOD=30°，∴∠BOD=90°−∠EOD=90°−30°=60°，∴∠BOC=180°−∠BOD=180°−60°=120°，故选：D．根据垂直的定义可得∠BOE=90°，然后列式计算即可求出∠BOD，再根据邻补角互补求出∠BOC即可．本题主要考查了垂线的定义，对顶角相等，邻补角互补的性质，是基础题，准确识图是解题的关键．5.【答案】A【解析】解：如图：数轴上表示的不等式组的解集为：−1≤x≤2，A、解得：此不等式组的解集为：−1≤x≤2，故本选项正确；B、解得：此不等式组的解集为：x≤−1，故本选项错误；C、解得：此不等式组的无解，故本选项错误；D、解得：此不等式组的解集为：x≥2，故本选项错误．故选A．首先由数轴上表示的不等式组的解集为：−1≤x≤2，然后解各不等式组，即可求得答案，注意排除法在解选择题中的应用．此题考查了在数轴上表示不等式解集的知识．此题比较简单，注意掌握不等式组的解法是解此题的关键．6.【答案】D【解析】解：由题意，得2−x=3x−4或2−x+(3x−4)=0，解2−x=3x−4得x=32，解2−x+(3x−4)=0得x=1，x的值为32或1，故选：D．根据到两坐标轴的距离相等，可得方程，根据解方程，可得答案．本题考查了点的坐标，利用到两坐标轴的距离相等得出方程是解题关键．7.【答案】B【解析】【分析】根据题意可以列出相应的二元一次方程组，从而本题得以解决．本题考查由实际问题抽象出二元一次方程组，解题的关键是明确题意，列出相应的二元一次方程组．【解答】解：由题意可得，{y=x+4.5 12y=x−1，故选：B．8.【答案】A【解析】解：①同位角相等，错误；②过一点有且只有一条直线与已知直线垂直，正确；③过一点有且只有一条直线与已知直线平行，错误；④三条直线两两相交，总有三个交点，错误，故选A．利用平行线的性质、垂直及平行的性质等知识分别判断后即可确定正确的选项．本题考查了命题与定理的知识，解题的关键是了解平行线的性质、垂直及平行的性质等知识，难度不大．9.【答案】A【解析】解：观察发现，第2次跳动至点的坐标是(2,1)，第4次跳动至点的坐标是(3,2)，第6次跳动至点的坐标是(4,3)，第8次跳动至点的坐标是(5,4)，…第2n次跳动至点的坐标是(n+1,n)，∴第124次跳动至点的坐标是(63,62)．故选：A．根据图形观察发现，第偶数次跳动至点的坐标，横坐标是次数的一半加上1，纵坐标是次数的一半，然后写出即可．本题考查了坐标与图形的性质，以及图形的变化问题，结合图形得到偶数次跳动的点的横坐标与纵坐标的变化情况是解题的关键．10.【答案】B【解析】解：过E作直线MN//AB，如下图所示，∵AB//MN，∴∠3+∠4+∠BEM=180°(两直线平行，同旁内角互补)，∵AB//CD，∴MN//CD，∴∠MEC=∠1+∠2(两直线平行，内错角相等)，∴∠BEC=∠MEC+∠BEM=180°−∠3−∠4+∠1+∠2，∵∠DCE的角平分线CG的反向延长线和∠ABE的角平分线BF交于点F，∴∠1=∠2，∠3=∠4，∴∠BEC=180°−2∠4+2∠1，∴∠4−∠1=90°−∠BEC，2∵四边形BECF内角和为360°，∴∠4+∠BEC+∠180°−∠1+∠F=360°，∴∠BEC 2+∠F =90°，由{∠BEC 2+∠F =90∘∠BEC −∠F =36∘， ∴{∠BEC =84∘∠F =48∘， 故选：B ．根据平行线的性质即可求解．本题考查的是平行线的性质以及角平分线的性质．本题关键是根据平行线的性质找出图中角度之间的关系． 11.【答案】−2【解析】【分析】本题考查了立方根与算术平方根的定义，是易错题，熟记概念是解题的关键． 先根据算术平方根的定义求出√64，再利用立方根的定义解答．【解答】解：∵82=64，∴√64=8，∴−√64=−8，∵(−2)3=−8，∴−√64的立方根是−2．故答案为：−2．12.【答案】72【解析】解：解不等式5(x −2)+8<6(x −1)+7得：x >−3．则最小整数解是：−2，把x =−2代入方程得：−4+2a =3，解得：a =72．故答案是：72．首先解不等式确定不等式的最小整数解，然后代入方程，即可得到关于a 的方程，求得a 的值．本题考查了不等式的解法和方程的解的定义，正确解不等式，求出解集是解答本题的关键．解不等式应根据不等式的基本性质．13.【答案】55°【解析】解：如图，延长ED与BC相交于点F，∵AB//DE，∴∠BFD=∠ABC=75°，∴∠CFD=180°−75°=105°，∵∠CDE=160°，∴∠CDF=180°−∠CDE=180°−160°=20°，在△CDF中，∠BCD=180°−∠CDF−∠CFD=180°−20°−105°=55°．故答案为：55°．延长ED与BC相交于点F，根据两直线平行，内错角相等可得∠BFD=∠ABC，再根据邻补角的定义分别求出∠CDF和∠CFD，然后根据三角形的内角和定理列式计算即可得解．本题考查了平行线的性质，邻补角的定义，是基础题，熟记性质并准确识图是解题的关键．14.【答案】±1【解析】解：∵3<√13<4，∴5<2+√13<6，3<7−√13<4，∴a=2+√13−5=√13−3，b=7−√13−3=4−√13，∴a+b=1，∴a+b的平方根为±1，故答案为：±1．首先确定√13的取值范围，然后可得2+√13和7−√13的取值范围，进而可得a和b，再计算a+b，然后可得a+b的平方根．此题主要考查了估算无理数的大小，关键是掌握估算无理数大小要用逼近法．15.【答案】(4,3)或(−2,3)或(2,−3)【解析】解：如图所示，∴第4个顶点的坐标为(4,3)或(−2,3)或(2,−3)．故答案为：(4,3)或(−2,3)或(2,−3)．根据题意画出平面直角坐标系，然后描出(0,0)、(3,0)、(1,3)的位置，再找第四个顶点坐标．此题主要考查了平行四边形的性质及坐标与图形的性质，解题关键是要分情况讨论，难易程度适中．16.【答案】−5<m ≤−1【解析】解：∵不等式组{m +1<x <m +72<x <6的解集是2<x <m +7， ∴m +1≤2且m +7≤6且m +7>2，解得：−5<m ≤−1，故答案是：−5<m ≤−1．根据已知得出不等式m +1≤2且m +7≤6，求出两不等式的公共解集，即可得出答案． 本题考查了解一元一次不等式组，解此题的关键是能根据题意得出不等式m +1≤2且m +7≤6．17.【答案】解：(1)原式=2−2−13=−13；(2)原式=2+2√2−√2=2+√2．【解析】(1)利用二次根式的性质和立方根的性质进行计算，再算加减即可；(2)首先利用乘法分配律计算乘法，再算加减即可．此题主要考查了实数运算，关键是掌握计算顺序． 18.【答案】解：(1){4x −3y =11①2x +y =13②，①+②×3得：10x =50，解得：x =5，把x =5代入②得：y =3，则方程组的解为{x =5y =3； (2){5x −3≤2(x +1)①x+22−x−16≥1②， 由①得：x ≤53，由②得：x ≥−12，则不等式组的解集为−12≤x ≤53．【解析】(1)方程组利用加减消元法求出解即可；(2)分别求出不等式组中两不等式的解集，找出两解集的公共部分即可．此题考查了解二元一次方程组，以及解一元一次不等式组，熟练掌握各自的解法是解本题的关键． 19.【答案】已知 垂直的定义 同位角相等，两直线平行 两直线平行，内错角相等 ∠E 两直线平行，同位角相等 等量代换 角平分线的定义【解析】证明：∵AD⊥BC于D，EG⊥BC于G(已知)，∴∠ADC=∠EGC=90°(垂直的定义)，∴AD//EG(同位角相等，两直线平行)，∴∠1=∠2(两直线平行，内错角相等)，∴∠E=∠3(两直线平行，同位角相等)，又∵∠E=∠1(已知)，∴∠2=∠3(等量代换)，∴AD平分∠BAC(角平分线的定义)故答案为：已知；垂直的定义；同位角相等，两直线平行；两直线平行，内错角相等；∠E；两直线平行，同位角相等；等量代换；角平分线的定义．根据垂直的定义得出∠ADC=∠EGC=90°，进而利用平行线的判定和性质解答即可．本题考查的是平行线的性质和判定和角平分线，灵活运用性质和概念是解题的关键，解答时，注意步骤要规范、清楚．20.【答案】证明：延长EF交CD于G，∵AB//CD，∴∠1=∠EGD∵∠1=∠2，∴∠EGD=∠2∴EF//MN，∴∠EFM=∠M．【解析】延长EF交CD于G，利用平行线的性质得出∠1=∠EGD，进而得出∠EGD=∠2，再利用平行线的判定方法得出答案．此题主要考查了平行线的性质和判定，正确作出辅助线是解题关键．21.【答案】(a+3,b+2)(5,0)或(−1,0)【解析】解：(1)平面直角坐标系如图所示，C(2,1)．(2)如图△A 1B 1C 1，即为所求，若△ABC 内部一点P 的坐标为(a,b)，则点P 的对应点P 1的坐标是(a +3,b +2)．故答案为(a +3,b +2)．(3)设D(m,0)，由题意直线BC 交x 轴于(3,0)，则有12⋅|m −3|⋅(4−1)=3， 解得m =5或−1，∴D(5,0)或(−1,0)．(1)根据A ，B 两点坐标画出坐标系即可．(2)分别作出A ，B ，C 的对应点A 1，B 1，C 1即可．(3)设D(m,0)，由题意直线BC 交x 轴于(3,0)，则有12⋅|m −3|⋅(4−1)=3，求出m 即可．本题考查作图−平移变换，三角形的面积等知识，解题的关键是灵活运用所学知识解决问题，属于中考常考题型． 22.【答案】解：(1)根据题意得：2a+b 2+2×1=54，−a+b −1+2×1=−1，整理得：{2a +b =5a −b =1， 解得：{a =2b =1； ②根据题意得：{2×2m+5−m 2m+2(5−m)≤1①2×4m+3−2m 4m+2(3−2m)>p②， 由①得：m ≤53；由②得：m >p −12，∴不等式组的解集为p −12<m ≤53，∵不等式组恰好有3个整数解，即m =−1，0，1，∴−2≤p −12<−1，解得：−32≤p <−12；(2)由T(x,y)=T(y,x)，得到ax+by x+2y =ay+bx y+2x ，整理得：(x 2−y 2)(2a −b)=0，∵T(x,y)=T(y,x)对任意有理数x ，y 都成立，∴2a −b =0，即b =2a ．【解析】(1)①已知两对值代入T 中计算求出a 与b 的值；②根据题中新定义化简已知不等式，根据不等式组恰好有3个整数解，求出p 的范围即可；(2)由T(x,y)=T(y,x)列出关系式，整理后即可确定出a 与b 的关系式．此题考查了分式的混合运算，解二元一次方程组，以及一元一次不等式组的整数解，弄清题中的新定义是解本题的关键． 23.【答案】解：(1)设恰好用A 型钢板x 块，B 型钢板y 块，依题意，得：{x +2y =1503x +y =180， 解得：{x =42y =54． 答：恰好用A 型钢板42块，B 型钢板54块．(2)设A 型钢板有m 块，则B 型钢板有(100−m)块，依题意，得：{m +2(100−m)≤1503m +(100−m)≤204， 解得：50≤m ≤52，又∵m 为正整数，∴m 可以取50，51，52，∴共有3种方案．(3)设需要a 块A 型钢板，则需要80−a 2块B 型钢板， 依题意，得：3a +80−a 2≤45， 解得：a ≤2，又∵a 和80−a 2均为正整数，∴a =2，∴80−a 2=39．答：需要2块A型钢板，39块B型钢板．【解析】(1)设恰好用A型钢板x块，B型钢板y块，根据要制成150块C型钢板、180块D型钢板，即可得出关于x，y的二元一次方程组，解之即可得出结论；(2)设A型钢板有m块，则B型钢板有(100−m)块，根据“现需C型钢板至多150块，D型钢板不超过204块”，即可得出关于m的一元一次不等式组，解之即可得出m的取值范围，再结合m为正整数即可得出方案的种数；(3)设需要a块A型钢板，则需要80−a2块B型钢板，根据D型钢板不多于45块，即可得出关于a的一元一次不等式，解之即可得出a的取值范围，再结合a和80−a2均为正整数，即可得出结论．本题考查了二元一次方程组的应用、一元一次不等式的应用以及一元一次不等式组的应用，解题的关键是：(1)找准等量关系，正确列出二元一次方程组；(2)根据各数量之间的关系，正确列出一元一次不等式组；(3)根据各数量之间的关系，正确列出一元一次不等式．24.【答案】解：(1)∵(a+b)2+|a−b+6|=0，∴a+b=0，a−b+6=0，∴a=−3，b=3，∴A(−3,0)，B(3,3)；(2)如图2，∵AB//DE，∴∠ODE+∠DFB=180°，而∠DFB=∠AFO=90°−∠FAO，∴∠ODE+90°−∠FAO=180°，∵AM，DM分别平分∠CAB，∠ODE，∴∠OAN=12∠FAO，∠NDM=12∠ODE，∴∠NDM−∠OAN=45°，而∠OAN=90°−∠ANO=90°−∠DNM，∴∠NDM−(90°−∠DNM)=45°，∴∠NDM+∠DNM=135°，∴180°−∠NMD=135°，∴∠NMD=45°，即∠AMD =45°；(3)①连结OB ，如图3，设F(0,t)，∵△AOF 的面积+△BOF 的面积=△AOB 的面积，∴12⋅3⋅t +12⋅t ⋅3=12⋅3⋅3，解得t =32， ∴F 点坐标为(0,32)；②存在．△ABC 的面积=12⋅7⋅3=212，当P 点在y 轴上时，设P(0,y)，∵△ABP 的三角形=△APF 的面积+△BPF 的面积，∴12⋅|y −32|⋅3+12⋅|y −32|⋅3=212，解得y =5或y =−2，∴此时P 点坐标为(0,5)或(0,−2)；当P 点在x 轴上时，设P(x,0)，则12⋅|x +3|⋅3=212，解得x =−10或x =4，∴此时P 点坐标为(−10,0)，综上所述，满足条件的P 点坐标为(0,5)；(0,−2)；(−10,0)．【解析】(1)根据非负数的性质得a +b =0，a −b +6=0，然后解方程组求出a 和b 即可得到点A 和B 的坐标；(2)由AB//DE 得∠ODE +∠DFB =180°，意义∠DFB =∠AFO =90°−∠FAO ，所以∠ODE +90°−∠FAO =180°，再根据角平分线定义得∠OAN =12∠FAO ，∠NDM =12∠ODE ，则∠NDM −∠OAN =45°，接着利用∠OAN =90°−∠ANO =90°−∠DNM ，得到∠NDM −(90°−∠DNM)=45°，所以∠NDM +∠DNM =135°，然后根据三角形内角和定理得180°−∠NMD =135°，所以∠NMD =45°；(3)①连结OB ，如图3，设F(0,t)，根据△AOF 的面积+△BOF 的面积=△AOB 的面积得到12⋅3⋅t +12⋅t ⋅3=12⋅3⋅3，解得t =32，则可得到F 点坐标为(0,32)；②先计算△ABC 的面积=212，分类讨论：当P 点在y 轴上时，设P(0,y)，利用△ABP 的三角形=△APF的面积+△BPF的面积得到12⋅|y−32|⋅3+12⋅|y−32|⋅3=212，解得y=5或y=−2，所以此时P点坐标为(0,5)或(0,−2)；当P点在x轴上时，设P(x,0)，根据三角形面积公式得12⋅|x+3|⋅3=212，解得x=−10或x=4，所以此时P点坐标为(−10,0)．本题考查了坐标与图形性质：利用点的坐标求相应线段的长和判断线段与坐标轴的位置关系；也考查了三角形面积公式和平行线的性质．。
湖北省武汉市2023年七年级下学期英语期中试卷【含答案】
1．—Don't take photos here, please.—________.A．No way B．Sorry, I won'tC．Here you are D．It's my pleasure2．—I have a math test tomorrow.—________.A．That sounds great B．Well doneC．Good for you D．Good luck3．—Hello. Is Alice there?—No, she isn't. She________ at the supermarket.A．shops B．shopping C．is shopping D．shopped4．—Sally ________the piano very well.—Quite right. She practices every day.A．plays B．is playing C．played D．playing5．—I'm good________ old people. I can help at the old people's home.—It's very kind of youA．at B．for C．with D．on6．I only have two tickets to The Battle Lake Changjin. ________you________ Jenny can go with me.A．Either; or B．Either; and C．Both; or D．Both; and7．— is it from here to the museum?—About 20 minutes by bike.A．How long B．How far C．How often D．How soon8．—They want to ________the two cities by a bridge.—Good idea.A．make B．take C．cross D．join9．—Joe, I know you are in the UK. Do you like your host family?—Yes, I do. But there's ________ "no place like home".A．still B．also C．just D．too10．—Why do you think elephants are________?—Because they always remember places with food and water.A．scary B．smart C．lazy D．beautiful 11．—What do you think of Lily and Lucy?—One is quiet and________ is hard working.A．one B．another C．other D．the other 12．—Have a________ of this cake to see if you like it.—OK.A．taste B．look C．smell D．watch 13．—Doctor, how can I keep healthy?—Well, you should first________ on smokingA．cut up B．cut in C．cut down D．cut off 14．Jim is arriving in Wuhan. We are all at the ________to meet him.A．library B．station C．hospital D．zoo 15．—Do you know________?—Jill.A．what's his name B．what's her nameC．what her name is D．what his name is完形填空There is a man who keeps three monkeys in his house. The monkeys are very 16． and they can do many things. The man loves his 17． . And he thinks they can try something new, so he begins to 18． them to dance. The monkeys don't like dancing at first, but the man is 19． them. These monkeys have to 20． hard every day. Soon they can dance very well. The man is very happy about that.One day, he 21． the monkeys up in special clothes and masks, and takes them to a party. He wants people to 22． his smart friends.The dancing monkeys are 23． at the party. Nobody knows that they are monkeys, and people are 24． to them. The monkeys are very happy to have lots of 25． food there.Suddenly (突然地) , a child puts some bananas in front of the dancing monkeys. The monkeys 26． everything then. 27． of them run to the bananas and begin to eat.Now all the people at the party laugh. "They aren't dancers at all", cries one man. "They are 28． monkeys!""And, " 29． another man. "What we see isn't always 30． ".16．A．lazy B．smart C．kind D．lovely17．A．pets 18．A．run 19．A．right for 20．A．follow 21．A．dresses 22．A．feel 23．A．welcome 24．A．friendly 25．A．quick 26．A．keep 27．A．Any 28．A．still 29．A．speaks 30．A．true B．places B．teach B．good with B．use B．makes B．taste B．sorry B．shy B．terrible B．forget B．Much B．often B．tells B．dangerousC．childrenC．crossC．strict withC．liveC．savesC．watchC．importantC．difficultC．luckyC．leaveC．AllC．justC．talksC．niceD．groupsD．fightD．afraid ofD．practiceD．putsD．listenD．beautifulD．deliciousD．rememberD．EitherD．alsoD．saysD．young阅读下面材料，从每题所给的 A、B、C、D 四个选项中，选出最佳选项。