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【英语5份合集】广西省柳州市2019-2020学年英语七上期末质量跟踪监视模拟试题

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2019-2020学年七上英语期末试卷一、选择题1．These cakes taste ______. Can I have another one?A.goodB.wellC.bad2．_________ is Chinese, _________ name is Han Mei.A．She,she B．She,her C．His,she D．Her,her3．We want to have ______ great dinner this evening.A．a B．the C．/4．—Is this __________ eraser？—Yes，it's her eraser.A.yourB.your sister'sC.your brother'sD.his5．—__________—I’m OK．A．Good morning． B．What’s this?C．Spell it． D．How are you?6．— is it?—It’s red.A.HowB.What’s colorC.What colorD.How’s7．—Thank you for your help.—________.A.Don’t thankB.You are welcomeC.No thanksD.I like to help you 8．He took a rocket and launched it. The rocket disappeared into the ______. A．star B．earth C．sky D．moon9．The green dictionary ________ be ________. Her name is on it.A.mustn't；Carla'sB.must；CarlaC.mustn't；CarlaD.must；Carla's 10．What's that ____________ English?A．on B．for C．in D．speak11．－ _______ is my sister , Anna.－ Nice to meet you, Anna! I'm Alice.A.ItB.TheseC.This12．—______ —F-I-N-E.A．How are you? B．How do you spell “fine”? C．Are you OK?13．-Why do you like math?- it’s interesting.A．So B．But C．Or D．Because14．Is this your backpack? ________.A．Yes, it’s B．Yes, it is C．No, it not D．No, its not15．I'd like some and .A．porridge; vegetable B．broccoli; tomatoesC．potatos; bananas D．French fries; orange juices16．The girl ____ green is her friend.A．with B．in C．of D．on17．He is Tom Black . ________name is________.A．His first , Tom B．His last, Tom C．His family, Tom D．His first ,Black18．（题文）Good morning 的同义句————A．Morning B．Afternoon C．Evening19．We have _______ book sale and _______ art festival every year.A．a; a B．an; an C．a; an D．an; a20．Six__________ the students will go sightseeing in Shanghai tomorrow．A．hundred B．hundreds C．hundred of D．hundreds of二、用所给的词填空21．Ⅺ.用括号内所给单词的适当形式填空1．How much are the ______(sweater)?2．There are thirty ______(woman) teachers in our school.3．The orange skirt is too small for Mary. Please give ______(she) a big one.4．At Mr. Cool’s Clothes Store, there ______(be) some red and green shorts.5．The blue shoes aren’t too expensive (昂贵的). I’ll take ______(it).22．1．______(she) name is Sally.2．His family name _____(be) Brown.3．_____(I)friend is John Smith.4．What's _____(you)first name?5．Gina and Mary _____(be)my good friends.三、句型转换23．句型转换1．His pants are white and black.(对画线部分提问)______ ______ are his pants?2．She wants a blue skirt.(改为一般疑问句)______ she ______ a blue skirt?3．What can I do for you？(改为同义句)______ I ______ you?4．That hat is blue.(改为复数句)______ hats ______ blue.5．What's the price of the skirts？(改为同义句)______ ______ ______ the skirts?四、完形填空24．完形填空（10分，每小题1分}Do you like sports and games ? Many schools in Guangzhou do not have space for games, but the students still do sports .These schools often PE lessons , either onthe playground or on the corridors(走廊) of theOnly a schools have their playing fields for students . Basketball becomes a common at Guangzhou schools students can play it in a space .Also many schools badminton courts and table tennis table . At once a year ,each school has aSports Day , the day , most of the students take part in many kinds of sports .1．A. many B. much C. more D. most2．A.do B. has C. have D. had3．A. building B. buildings C. office D. playground4．A. lot B. few C. lots D. little5．A. game B. homework C. book D. games6．A. and B. but C. because D. so7．A. large B. big C. open D. small8．A. has B. have C. there is D. there are9．A. late st C. least D. latest10．A. In B. On C. At D. Before25．I am Helen. I from the U.S.A．I am thirteen years old. There five in my family. We live in China now .My father is a doctor. He in a hospital. My mother is a teacher. She in a high school. My little sister, Rose, is four years old. My grandmother lives us and Rose at home. She love a lot. I a happy family.1．A．comes B．is come C．come D．boys2．A．are B．be C．is D．will3．A．peoples B. women C．people D. boys4．A．work B．works C．teaches D. teach5．A．teach B．teaches C．drives D．drive6．A．in B．often C．only D．at7．A．of B．for C．in D．with8．A．looks like B．look at C．look after D. looks after9．A．her B．she C．he D．him10．A．has B．like C. have D．am26．My dear friends, let me tell you something 1 my daily timetable (时间表) I 2 at 7:00 and I go to 3 at 8:00. I have math at 9:00. 4 is my favorite subject. I like math because it’s 5 Mr. Tan is our math 6 .I like him very much. I eat7 at 2:00, and then I have music at 1:00. I have history at 2:00. I don’t like history8 it is boring. But I 9 like art and I want to be a (n) 10 I have art at2:00 on Friday.1．A.for B.to C.about D.with2．A.work B.get up C.study D.eat3．A.home B.movie C.school D.store4．A.Music B.Math C.English D.History5．A.boring B.difficult C.interesting D.happy6．A.teacher B.partner C.classmate D.friend7．A.lunch B.breakfast C.dinner D.supper8．A.and B.so C.or D.because9．A.kindly B.really C.surely D.real10．A.artist B.actor C.teacher D.doctor五、阅读理解27．Look! I’m Tom. This is a pencil case. It’s orange. It’s my pencil case. What’s in the pencil case? A ruler is in the pencil case. It is my ruler. The ruler is blue and red. That is a pencil. It is black and white. It is not my pencil. Look! That girl is Lucy. Itis her pencil. That boy is Tim. I found his green pen in the lost and found case. I callTim at 503. It is his telephone number.1．What color is the pencil case?A．It’s orange. B．It’s blue and red. C．It’s green.2．I am Tom. That is not my_________.A．pencil B．pencil case C．ruler3．________ has (有) a pencil.A．Tom B．Lucy C．Tim4．_______ found the pen in the lost and found case.A．Tom B．Lucy C．Tim5．I am Tom. Is my telephone number 503?A．Yes. B．No. C．OK.28． My name is Sue. I’m an English girl. I’m twelve. This is my school, It's No 1 Middle School. I’m in Class 2Grade 1. My English teacher is Miss Li. At school, I have a good friend. He r name is Liu Ying. She is eleven. Sheand I are in the same class. She is a good girl.1．How old is Sue?A.She is 1.B.She is 2.C.She is 3.2．Which is her school?A.No. 4 Middle SchoolB.No. 1 Middle SchoolC.No. 3 Middle School3．Who is her English teacher?A.Miss LuB.Miss LiC.Miss Liu4．Which class is Liu Ying in?A.Class Two.B.Class FourC.Class One5．How old is Liu Ying?A.She is 1.B.She is 2.C.She is 3.29．1．______ has a soccer ball.A．Frank Brown B．Gina Smith C．Frank’s brother D．Wang Gang2．Gina has ______ basketballs.A．2 B．3 C．4 D．13．______ thinks soccer is difficult.A．Wang Gang B．Frank C．Gina D．Li Jian4．Gina and Li Jian have ______.A．soccer balls B．basketballs C．volleyballs D．ping-pong balls5．Li Jian plays basketball with ______.A．his brother B．his friends C．his classmates D．his father六、书面表达30．用英语介绍一下你自己的情况。

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桂林市名校初中五校联考2019-2020学年七上英语期末考试试题

桂林市名校初中五校联考2019-2020学年七上英语期末考试试题

桂林市名校初中五校联考2019-2020学年七上英语期末考试试题一、选择题1．-- What’s three and five?-- It’s .A．six B．seven C．eight D．nine2．He ______baseball.A．don't play B．doesn't plays C．doesn't play3．Now, everyone, please turn to Page ______ and look at the ______ picture.A.Twelve; fifthB.Twelfth; fifthC.Twelve; fiveD.Twelfth; five4．— is it?—It’s red.A.HowB.What’s colorC.What colorD.How’s5．If you make the wheels round, they will turn ______.A．clearly B．brightly C．recently D．easily6．-- Let’s play soccer ball.-- I don’t have soccer ball.A．/; a B．/; /C．a; a D．a; /7．—Is Hu Jun your brother? — ______. I love my brother.A．No, he isn’t B．Yes, he is C．Yes, he’s D．No, he doesn't8．Mary______ salad.A.don't likeB.doesn't likeC.doesn't likesD.like9．Math is _______ useful subject.A．a B．an C．the D．/10．—Can Ihelp you?—Yes,please.I______ a new skirt for a partyA．eat B．find C．need D．play11．_______ is Children’s Day.A．July 1st B．August 1st C．June 1st12．I'd like some and .A．porridge; vegetable B．broccoli; tomatoesC．potatos; bananas D．French fries; orange juices13．The yellow shorts are nice.I’ll take .A．it B．they C．its D．them14．He ________ a small room. ________ a nice desk in it.A．is, There is B．has, Has C．have, There is D．has, There is15．— ___________ you very much. —That’s all right.A．That B．Thank for C．Thank D．Thanks16．May is month of the year.A．five B．fifth C．the five D．the fifth17．This is salad. I don't like _______.A.sheB.heC.itD.them18．—Are you a student?—_________ .A．Yes, we are B．Yes, I amC．No, we are D．No, I am19．Huaxing’s fantastic sale! You name it, we have it, ____________ a v ery good price.A．in B．at C．on D．of20．— Alice, I want to be a doctor when I grow up.—That’s good．And I hope your dream can ．A．look great B．feel happy C．come true D．get angry二、用所给的词填空21．用括号内所给单词的适当形式填空。

曲靖市2019-2020学年七上英语期末质量跟踪监视试题

曲靖市2019-2020学年七上英语期末质量跟踪监视试题

曲靖市2019-2020学年七上英语期末质量跟踪监视试题一、选择题1．— Your pencil case is nice.—__________.A．OK, B．No, it isn’tC．Thank you., D．That’s all right2．________ kind of movies does Brad like?A．Whose B．What C．Where D．How3．— ?—Yes, she is.A．Is Mrs. Brown your auntB．Is Mr. Brown your uncleC．Who’s sheD．What’s this4．I don’t want ______ fat.A．be B．being C．to be D．been5．-- Is Peter in?-- .A．Yes, she isn’t B．No, she isC．Sorry, he isn’t at home D．No, this isn’t Peter6．—How long will you stay in America?—For days, and I will leave on the of this month.A．twelve; twenty B．twelfth; twentiethC．twelfth; twenty D．twelve; twentieth7．—Are the pencils in the box?—_________________.A．Yes, it isn'tB．No, they aren'tC．They aren'tD．It is8．—Can you play computer games ________ me?—OK.A．at B．ofC．with D．in9．We go to school Monday Friday.A．from; to B．for; at C．to; from D．at; at10．I can’t find my ticket. I think I have lost _________.A.itB.oneC.thisD.them11．She often fruit and vegetables that supermarket(超市). A．buys,for B．sells,to C．buys,from D．takes,with12．Huaxing Clothing Store is on sale at this time ________ year.A．at B．of C．in13．---_____is it ?--- It’s letter (字母) Y .A．What’s B．How C．What D．What color14．boys over there(那儿) are my cousins. They are in front of a tree. A．That B．This C．Those D．These15．____ are his brothers.A.ThatB.ItC.These16．This is not___key. I think it’s ___key.A．you, he B．she, my C．his, her17．The man with a pair of drank two of coffee. A．glass; glasses B．glasses; glassesC．glasses; glass D．glass; glass18．Tom studies very ,but his brother Tony studies.A．hardly, hardly B．hard, hardly C．hard, had D．hardly, hard 19．— Who are they ?— ______ .A.They are my friendsB.She is my friendsC.Those are my friendsD.Those are my friend20．（题文）The young girl looks so short _____her friends .A．at B．among C．between D．on二、用所给的词填空21．C.用括号内所给单词（词组）的适当形式填空。

上海市浦东新区川沙中学南校2019-2020学年七年级(五四学制)上学期期末英语试题(原卷版)

上海市浦东新区川沙中学南校2019-2020学年七年级(五四学制)上学期期末英语试题(原卷版)

2019学年度第一学期期未学业诊断七年级英语学科（满分100分，时间75分钟）Part1Listening（第一部分听力）Listening Comprehension（听力理解）Listen and choose the right picture.（根据你听到的内容，选出相应的图片）A. B. C.D. E. F.1.________2.________3.________4.________5.________Listen to the dialogue and choose the best answer to the question you hear.（根据你听到的对话和问题，选出最恰当的答案）6.A.In a factory. B.In a school. C.In a hospital. D.In a shop.7.A.Monday. B.Saturday. C.Friday. D.Wednesday.8.A.On foot. B.By underground. C.By car. D.By bus.9.A.Japan. B.Australia. C.Canada. D.Britain.10.A.One hundred yuan. B.Eighty yuan. C.Sixty yuan. D.Fifty yuan.11.A.At1:00p.m. B.At1:30p.m. C.At2:00p.m. D.At2:30p.m.12.A.He wants her to look after his sister. B.He wants her to look after his puppy.C.He wants her to go to the hospital with him.D.He wants her to see a doctor.Listen to the passage and tell whether the following statements are true or false.（判断下列句子是否符合你听到的内容，符合的用“T”表示，不符合的用“F”表示）13.We have many books for both teenagers and little children.14.Books for young children have many beautiful pictures in them.15.In children’s books,some animals can talk to readers like real people.16.Books for babies have all pictures with no word.17.Babies can learn something from books.Listen to the dialogue and complete the following sentences.（听对话，完成下列内容，每空格限填一词）18.When I was ten,I had to take care of my________________.19.I carried Sam on my back and________________.20.I did not know________________answer the man’s question.21.The man taught me a lesson—people are________________than things.Part2Phonetics,Vocabulary and Grammar（第二部分语音，词汇和语法）Look at the phonetic symbol and fill in the blanks.（看音标写单词）1.The Li family spent a________holiday in Shanghai Disneyland last week.[‘pleznt]2.We need to________the flat with some balloons for the coming birthday party.[‘dekəreit]3.Please read these________before you start using the new fax machine.[in’strʌkʃnz]4.There is a beautiful garden at the________of some steep steps.[‘bɒtəm]5.Jack works for a________company.He moves people’s furniture to their new homes.[ri’mu:vl]Choose the best answer.（选择最恰当的答案）6.Which of the following underlined parts is different in pronunciation from the others?A.An SPCA officer took the poor dog to the clinic.B.Dogs help blind people cross the road safely.C.Dogs help the police find missing people.D.My family always travel to places of interest during the holidays.7.Look.There is________information sign near the tree.It means:We can have a picnic here.A./B.anC.aD.the8.Every one of us watched the grand military parade(阅兵)on TV to celebrate PRC’s70th birthday________ October1,2019.A.onB.inC.atD.to9.I’d rather________a barbecue on a balcony this weekend.A.to haveB.havingC.haveD.has10.It's raining hard outside,_______we have to watch TV at home.A.soB.butC.becauseD.if11.Chinese New Year is coming soon.Mum________buy a lot of food and drinks for a big family meal.A.needB.needsC.doesn’t needD.needs to12.—Lucy wants to see the new Disney film called‘FrozenⅡ’.—________A.Neither does Mike.B.So does Jack.C.So am I.D.Neither do I.13.If you don’t want to have a stomachache,you should eat________fried food and________crisps.A.more…moreB.less…fewerC.fewer…lessD.more…less14.You_______keep silent in the library.A.mustn'tB.canC.mustD.can't15.Just now the police man told us________our cars in front of the school gate.A.not parkB.to not parkC.no parkingD.not to park16.When I flew a kite in the garden,I saw a bird________a nest in the tree.A.makesB.makingC.madeD.to make17.—________does it take you to travel from Shanghai to Paris by plane?—It takes about12hours。

广西省柳州市2019-2020学年七年级第二学期期末质量跟踪监视数学试题含解析

广西省柳州市2019-2020学年七年级第二学期期末质量跟踪监视数学试题含解析

广西省柳州市2019-2020学年七年级第二学期期末质量跟踪监视数学试题请考生注意：1．请用2B铅笔将选择题答案涂填在答题纸相应位置上，请用0．5毫米及以上黑色字迹的钢笔或签字笔将主观题的答案写在答题纸相应的答题区内。

写在试题卷、草稿纸上均无效。

2．答题前，认真阅读答题纸上的《注意事项》，按规定答题。

一、选择题（每题只有一个答案正确）1．若，则下列不等式中不一定成立的是（）A．B．C．D．【答案】D【解析】【分析】A，在不等式x＞y两边都加上1，不等号的方向不变，即可判断A的正确性，选项B，在不等式x＞y两边都乘上3，不等号的方向不变，即可判断B的正确性；选项C，在不等式x＞y两边都除以2，不等号的方向不变，即可判断C的正确性，选项D，可举例说明，例如当x=1，y=-2时，x＞y，符号改变，故可判断D的正确性，据此即可得到答案．【详解】选项A，在不等式x＞y两边都加上1，不等号的方向不变，故A正确；选项B，在不等式x＞y两边都乘上3，不等号的方向不变，故B正确；选项C，在不等式x＞y两边都除以2，不等号的方向不变，故C正确；选项D，例如，当x=1，y=-2时，x＞y，但，故D错误．故选D.【点睛】此题考查不等式的性质，熟练掌握不等式的性质是解题的关键；2．点P(1﹣2x，5x﹣1)在第四象限，则x的范围是（）A．15x<B．12x<C．1152x<<D．12x>【答案】A【解析】【分析】根据点的位置得出不等式组，求出不等式组的解集即可．【详解】解：∵点P（1﹣2x，5x﹣1）在第四象限，解得：15x <， 故选：A ． 【点睛】本题考查了点的位置和解一元一次不等式组，能根据题意得出不等式组是解此题的关键． 3．若在去分母解分式方程122x kx x -=++时产生增根，则k ＝（ ） A ．﹣3 B ．﹣2C ．﹣1D ．1【答案】A 【解析】 【分析】先去分母化为整式方程，然后根据方程有增根可知x=-2，代入后即可求出k 的值. 【详解】去分母得：x ﹣1＝k ，由分式方程有增根，得到x+2＝0，即x ＝﹣2， 把x ＝﹣2代入整式方程得：k ＝﹣3， 故选：A ． 【点睛】此题考查了分式方程的增根，增根问题可按如下步骤进行：①让最简公分母为0确定增根；②化分式方程为整式方程；③把增根代入整式方程即可求得相关字母的值．4．某商场为促销某种商品，将定价为5元/件的该商品按如下方式销售:若购买不超过5件商品，按原价销售;若一次性购买超过5件，按原价的八折进行销售.小明现有29元，则最多可购买该商品（ ） A ．5件 B ．6件C ．7件D ．8件【答案】C 【解析】 【分析】 关系式为：原价×10折扣数×件数≤29，把相关数值代入计算求得最大的正整数解即可． 【详解】设可以购买x 件这样的商品，由题意，得 5×0.8x ≤29， 解得x ≤7.25，则最多可以购买该商品的件数是7，本题考查了一元一次不等式的应用，弄清题意，找准不等关系列出不等式是解题的关键.5．平面直角坐标系内，点P（-3，-4）到y轴的距离是（）A．3 B．4 C．5 D．-3或7【答案】A【解析】【分析】根据平面直角坐标系中的点到坐标轴的距离公式判断即可.【详解】考察点到y轴的距离即是｜x|=｜-3｜=3，故选A【点睛】P x y到x轴的距离为y，到y轴的距离为x，本题考查了平面直角坐标系中的点到坐标轴的距离，点(,)掌握求距离的公式是解题的关键.y x的一个解：6．下表中的每一对x , y的值都是方程3①y的值随着x的增大越来越大；x时，y的值大于3；②当0x 时，y的值小于0.③当3上述结论中，所有正确结论的序号是（）A．4个B．3个C．2个D．1个【答案】C【解析】【分析】观察表格利用一次函数与二元一次方程的关系判断即可．【详解】解：观察表格得：y的值随着x的增大越来越大；当x＜0时，y＜3；当x＜-3时，y的值小于0，故选：C．【点睛】此题考查了二元一次方程的解，熟练掌握运算法则是解本题的关键．A．a2bc B．a2c C．ac D．a2c【答案】D【解析】【分析】根据整式的乘法和除法的运算法则按顺序计算即可.【详解】2a3b·(-3b2c)÷(4ab3)=-6a3b3c÷(4ab3)=a2c故选D.【点睛】本题考查整式的乘法和除法，熟练掌握运算法则是解题关键.8．如图，在ABC中，BC边上的高为（）A．BD B．CF C．AE D．BF【答案】C【解析】【分析】根据从三角形的一个顶点向底边作垂线，垂足与顶点之间的线段叫做三角形的高进行分析即可．【详解】在△ABC中，BC边上的高是过点A垂直于BC的线是AE．故选：C【点睛】此题主要考查了三角形的高，关键是掌握三角形的高的定义．9．如图，两把完全一样的直尺叠放在一起，重合的部分构成一个四边形，这个四边形一定是( )A ．矩形B ．菱形C ．正方形D ．无法判断【答案】B 【解析】 【分析】作DF ⊥BC,BE ⊥CD,先证四边形ABCD 是平行四边形.再证Rt △BEC ≌Rt △DFC ，得，BC=DC ，所以，四边形ABCD 是菱形. 【详解】如图，作DF ⊥BC,BE ⊥CD, 由已知可得，AD ∥BC,AB ∥CD ∴四边形ABCD 是平行四边形. 在Rt △BEC 和Rt △DFC 中BCE DCF BEC DFC BE DF ∠=∠⎧⎪∠=∠⎨⎪=⎩∴Rt △BEC ≌Rt △DFC ， ∴BC=DC∴四边形ABCD 是菱形.故选B 【点睛】本题考核知识点：菱形的判定.解题关键点：通过全等三角形证一组邻边相等. 10．下列四个多项式中，能因式分解的是（ ） A ．a 2+1 B ．a 2-6a+9C ．x 2+5yD ．x 2-5y【答案】B 【解析】 【分析】根据因式分解是把一个多项式转化成几个整式积的形式，可得答案． 【详解】B 是完全平方公式的形式，故B 能分解因式； 故选B ． 二、填空题11．一个锐角的余角的4倍比这个角的补角大30°，则这个角度数为_____度． 【答案】50°． 【解析】 【分析】设这个角为x ，根据互为补角的两个角的和等于180°表示出它的补角，互为余角的两个角的和等于90°表示出它的余角，然后列方程求解即可． 【详解】解：设这个角为x ，由题意得，180°﹣x ＝4（90°﹣x ）﹣30°， 解得x ＝50°． 故答案为：50°． 【点睛】本题考查余角和补角，熟记概念并列出方程是解题的关键．12．若方程组()431416x y kx k y +=⎧⎨+-=⎩的解中x 与y 的值相等，则k 为_____．【答案】1 【解析】 【分析】根据题意得出x=y ，然后求出x 与y 的值，再把x 、y 的值代入方程kx+（k-1）y=6即可得到答案． 【详解】 由题意得：x=y ， ∴4x+3x=14， ∴x=1，y=1，把它代入方程kx+（k-1）y=6得1k+1（k-1）=6， 解得k=1． 故答案为：1． 【点睛】本题考查了三元一次方程组的解法．解三元一次方程组的关键是消元．11x ⎧-≤【答案】1x = 【解析】 【分析】先解不等式组，再求整数解的最大值. 【详解】112251x x ⎧-≤⎪⎨⎪+>⎩①②解不等式①，得32x ≤解不等式②，得2x >- 故不等式组的解集是322x -<≤ 所以整数解是：-1，0，1 最大是1故答案为：1x = 【点睛】考核知识点：求不等式组的最大整数值.解不等式组是关键.14．从数轴上表示﹣3的点出发，移动2个单位长度到点B ，则点B 表示的数是_____． 【答案】﹣5或﹣1． 【解析】 【分析】分两种情况进行讨论，当点3﹣沿数轴向右移动和点3﹣沿数轴向左移动时，列出式子，求出点B 表示的数． 【详解】从点3﹣出发，沿数轴向右移动2个单位长度到达B 点，则点B 表示的数是321-+=-； 从点3﹣出发，沿数轴向左移动2个单位长度到达B 点，则点B 表示的数是325--=-； 故答案为：5-或1-． 【点睛】此题考查了数轴，解题的关键根据题意列出式子，再根据有理数的加减法法则进行计算，要考虑两种情况，不要漏掉．15．若一个角的余角和这个角的补角也互为补角，则这个角的度数等于__________________ 【答案】【解析】解：设这个角为x°则它的余角为90-x，补角为180-x90-x+180-x=180270-2x=1802x=90x=4516．如图，将一个宽度相等的纸条沿AB折叠一下，如果∠1=130º，那么∠2= ．【答案】115°【解析】试题分析：先根据折叠的性质和平行线的性质求得∠3的度数，再根据平行线的性质求解即可．解：如图∵∠1=130º，纸条的对边平行∴∠3=65º∴∠2=180°-∠3=115º．考点：折叠的性质，平行线的性质点评：平行线的判定和性质是初中数学的重点，贯穿于整个初中数学的学习，是中考中比较常见的知识点，一般难度不大，需熟练掌握.17．不等式214323x x---<的所有自然数解的和等于_____．【答案】1【解析】【分析】首先利用不等式的基本性质解不等式，再从不等式的解集中找出适合条件的自然数数即可．【详解】解：2（x﹣2）﹣1（1﹣x）＜8，2x﹣4﹣1+1x＜8，2x+1x＜8+4+1，∴不等式的所有自然数解的和为0+1+2＝1， 故答案为：1． 【点睛】本题考查了不等式的整数解，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． 三、解答题18．已知关于x 、y 的方程组37ax by bx ay +=⎧⎨+=⎩的解是21x y =⎧⎨=⎩，求+a b 的值.【答案】103【解析】分析：将x 与y 的值代入方程组计算即可求出a+b 的值. 详解：把21x y =⎧⎨=⎩代入37ax by bx ay +=⎧⎨+=⎩得2327a b b a +=⎧⎨+=⎩相加得，3a ＋3b ＝1． 即a ＋b ＝103． 点睛：此题考查了二元一次方程组的解，方程组的解即为能使方程组中两方程成立的未知数的值. 19．如图，直线l 与m 分别是ABC ∆边AC 和BC 的垂直平分线，它们分别交边AB 于点D 和点E.（1）若10AB =，则CDE ∆的周长是多少？为什么？ （2）若125ACB ︒∠=，求DCE ∠的度数. 【答案】（1）10；（2）70DCE ︒∠= 【解析】 【分析】根据垂直平分线定理即可推出CD AD =，同理CE BE =，即CDE ∆的周长为10由垂直平分线定理可得ACD A ∠=∠，BCE B ∠=∠，再根据三角形内角和定理2CDE A ∠=∠，即可计算出70DCE ︒∠=. 【详解】解：（1）CDE ∆的周长为10 ∵l 是AC 的垂直平分线∴CD AD = 同理CE BE =∴CDE ∆的周长10CD DE CB AD DE BE AB =++=++== （2）∵l 是AC 的垂直平分线∴ACD A ∠=∠ 同理BCE B ∠=∠∴2CDE A ∠=∠，2CDE A ∠=∠ ∵180DCE CDE CED ︒∠+∠+∠=① ∴22180DCE A B ︒∠+∠+∠=∵125DCE ACD BCE ACB ︒∠+∠+∠=∠= ∴125DCE A B ︒∠+∠+∠=② 联立①②，解得：70DCE ︒∠= 【点睛】本题考查垂直平分线和三角形的内角和定理，熟练掌握垂直平分线定理推出CDE ∆=AB 是解题关键. 20．问题情景：如图1，AB ∥CD ，∠PAB=140°，∠PCD=135°，求∠APC 的度数． （1）丽丽同学看过图形后立即口答出：∠APC=85°，请你补全她的推理依据． 如图2，过点P 作PE ∥AB ，∵AB ∥CD ，∴PE ∥CD ． （ ） ∴∠A+∠APE=180°．∠C+∠CPE=180°． （ ） ∵∠PAB=140°，∠PCD=135°， ∴∠APE=40°，∠CPE=45°∴∠APC=∠APE+∠CPE=85°．（ ） 问题迁移：（2）如图3，AD ∥BC ，当点P 在A 、B 两点之间运动时，∠ADP=∠α，∠BCP=∠β，求∠CPD 与∠α、∠β之间有何数量关系？请说明理由．（3）在（2）的条件下，如果点P 在A 、B 两点外侧运动时（点P 与点A 、B 、O 三点不重合），请你直接写出∠CPD 与∠α、∠β之间的数量关系．【答案】（1）平行于同一条直线的两条直线平行；两直线平行，同旁内角互补；等量代换；（2）∠CPD=∠α+∠β，理由见解析；（3）当P在BA延长线时，∠CPD=∠β﹣∠α；当P在AB延长线时，∠CPD=∠α﹣∠β．【解析】【分析】(1) 过点P作PE∥AB，根据“两直线平行，同旁内角互补”可得∠A+∠APE=180°，∠C+∠CPE=180°；进一步可求得结果.（2）过P作PE∥AD交CD于E，则AD∥PE∥BC，根据“两直线平行，内错角相等”可得∠α=∠DPE，∠β=∠CPE，因此，∠CPD=∠DPE+∠CPE=∠α+∠β；（3）类似（2）的方法，分两种情况，即：P在BA延长线时或在AB延长线时.可得出结论..【详解】解：（1）过点P作PE∥AB，如图2所示：∵AB∥CD，∴PE∥CD．（平行于同一条直线的两条直线平行）∴∠A+∠APE=180°．∠C+∠CPE=180°．（两直线平行同旁内角互补）∵∠PAB=140°，∠PCD=135°，∴∠APE=40°，∠CPE=45°,∴∠APC=∠APE+∠CPE=85°．（等量代换）故答案为：平行于同一条直线的两条直线平行；两直线平行，同旁内角互补；等量代换；（2）∠CPD=∠α+∠β，理由如下：如图3所示，过P作PE∥AD交CD于E，∵AD∥BC，∴AD∥PE∥BC，∴∠α=∠DPE，∠β=∠CPE，∴∠CPD=∠DPE+∠CPE=∠α+∠β；（3）当P在BA延长线时，如图4所示：过P作PE∥AD交CD于E，同（2）可知：∠α=∠DPE，∠β=∠CPE，当P在AB延长线时，如图5所示：同（2）可知：∠α=∠DPE，∠β=∠CPE，∴∠CPD=∠α﹣∠β．【点睛】本题考核知识点：平行线性质.解题的关键是构造平行线，根据平行线的性质，从已知角推出未知角，再根据角的和或差求出关系式.21．如图，在△ABC中，CD是AB边上的高，CE是∠ACB的平分线．（1）若∠A=40°，∠B=76°，求∠DCE的度数；（2）若∠A=α，∠B=β，求∠DCE的度数(用含α，β的式子表示)；（3）当线段CD沿DA方向平移时，平移后的线段与线段CE交于G点，与AB交于H点，若∠A=α，∠B=β，求∠HGE与α、β的数量关系．【答案】（1）∠DCE=18°；（2）∠DCE12=β12-α；（3）∠HGE12=β12-α．【解析】【分析】（1）根据三角形的内角和得到∠ACB的度数，根据角平分线的定义得到∠ECB的度数，根据余角的定义得到∠BCD=90°-∠B，于是得到结论；根据余角的定义得到∠BCD=90°-∠B=90°-β，于是得到结论；（3）运用（2）中的方法，得到∠DCE=∠ECB-∠BCD=12β-12α，再根据平行线的性质，即可得出结论．【详解】（1）∵∠A=40°，∠B=76°，∴∠ACB=64°．∵CE是∠ACB的平分线，∴∠ECB12=∠ACB=32°．∵CD是AB边上的高，∴∠BDC=90°，∴∠BCD=90°﹣∠B=14°，∴∠DCE=∠ECB﹣∠BCD=32°﹣14°=18°；（2）∵∠A=α，∠B=β，∴∠ACB=180°﹣α﹣β．∵CE是∠ACB的平分线，∴∠ECB12=∠ACB12=(180°﹣α﹣β)．∵CD是AB边上的高，∴∠BDC=90°，∴∠BCD=90°﹣∠B=90°﹣β，∴∠DCE=∠ECB﹣∠BCD12=β12-α；（3）如图所示．∵∠A=α，∠B=β，∴∠ACB=180°﹣α﹣β．∵CE是∠ACB的平分线，∴∠ECB12=∠ACB12=(180°﹣α﹣β)．∵CD是AB边上的高，∴∠BDC=90°，∴∠DCE=∠ECB﹣∠BCD1 2 =β12-α，由平移可得：GH∥CD，∴∠HGE=∠DCE12=β12-α．【点睛】本题考查了三角形的内角和，角平分线的定义，熟练掌握三角形的内角和是解题的关键．22．在一次活动中，主办方共准备了3600盆甲种花和2900盆乙种花，计划用甲、乙两种花搭造出A、B 两种园艺造型共50个，搭造要求的花盆数如下表所示：请问符合要求的搭造方案有几种？请写出具体的方案。