江苏省扬州市江都区宜陵镇中学2014-2015学年七年级数学下学期第九周周练试题(无答案) 苏科版
(精品-1)江苏省扬州市江都区宜陵镇中学2019学年七年级数学下学期第九周周练试题(无答案) 苏科版
宜陵镇中学七年级英语周周练(9)班级________ 姓名__________一、单项选择1. --- Do you know _______ girl at the gate of the school?--- Yes. She is_______classmate of mine.A. a; aB. the; theC. the; aD. a; the2. There is a small bridge _______ the river.A. inB. onC. overD. above3. --- Excuse me, how can I get to the post office?--- Go_______the street and turn left. Walk_______the museum, and you’ll see it.A. along; toB. across; pastC. past; toD. cross; past4. ---Would you like to come for dinner this Sunday evening?--- _______, but I’ve got a lot of things to do.A. Sorry, I wouldn’tB. Yes, I’d likeC. No, I wouldn’tD. Yes, I’d love to5. --- _______your hometown like?--- It’s a g ood place_______.A. How’s; to liveB. How does; livingC. What’s; to liveD. What does; living6. --- The camera in your hand is nice, is it_______?---Yes, but I will give it to my friend Lily as_______birthday present.A. you; herB. your; hersC. yours; herD. you; his7. ---_______is it from your home to your factory?--- It takes about twenty minutes by bike.A. How longB. How farC. How manyD. How much8. There is_______wrong with my watch, can you find_______to help me?A. something; anyoneB. anything; someoneC. something; someoneD. anything; anyone9. --- Hello,_______?--- This is Lucy. May I speak to Andy?A. who’re youB. who’s that callingC. are you LucyD. who is this speaking10. Mr. Green goes to work_______ his car, but his wife_______a bus to her office.A.by; takeB. drives; byC. in; takesD. takes; on二、完形填空There are seven days in a week. Some days are people's favourite, but some are not. In the United States, Monday is the beginning of the weekday. It is the day most Americans like least. And it is certain that the day they like___1___is Saturday. Because Saturday is the___2___of the weekday and it is the beginning of the weekend. Life is___3___at weekends. Most Americans clean their houses, cars or gardens. They___4___he feeling that time seems(好像)to move more slowly. The weekday is for things you have to do, but the weekend is for things you are___5___to do, so you feel that you can enjoy yourselves at weekends. Some people may get in a car and go for a__6___in the country. They like to take part in outdoor activities. They__7___go to a public eating or a film on Saturday night. However, the__8___of weekends is a recent(近期的)invention. In the early years of the 1900s, rich people began to speak of___9___weekends in the country or visiting friends.For most people, the workday was six days__10___at that time. They had to work six days a week.1. A. least B. most C. more D. less2. A. end B. beginning C. middle D. starting3. A. terrible B. hard C. different D. busy4. A. hate B. forget C. remember D. enjoy5. A. glad B. able C. suitable D. free6. A. walk B. dance C. drive D. run7. A. must B. should C. need D. might8. A. day B. idea C. activity D. dream9 A. organizing B. planning C. spending D. taking10. A. long B. short C. early D. late三、阅读理解ACoke is the most popular drink and many people enjoy it. But they don’t know it has many other uses.◆ Cleaning. You can use it to clean your hands,your bathroom or your clothes. When you do some washing and y ou can put some Coke into the water. And Coke can make them cleaner.◆ Cooking. Put Coke on beef or pork while it’s cooking. And we can cook chicken with Coke, it’s very nice.◆ Health &beauty. Coke can make you more beautiful. Use it on your hair or your skin(皮肤)to make them brighter and smoother.◆ Housework help. Watering flowers with Coke can make them more lovely and beautiful.So give Coke a try next time.1. How many other uses of Coke are there in the passage?A. 3.B. 4.C. 5.D. 6.2. What can we use Coke to clean?A. Bathroom.B. Beef.C. Pork.D. Flowers.3. What will the flowers be like after watering them with Coke?A. Cleaner.B. Smoother.C. Brighter.D. More beautiful.BDear Mom,I don't think you understand my life. You think I should be studying all the time. I know you want me to find a good job when I grow up, but I would like to have a good time, too. You never think about fun things for me to do, like music and sports. Two days ago, when I was watching a football game on TV, you asked me to stop and do my homework. After finishing my homework, still I wasn't allowed (允许) to read my football magazines. You said I had to go to bed early. That was bad enough, but yesterday was the worst day. I bought some music CDs, and put them in my bag so that you wouldn't see them. I told you I had to do my homework first. I know it was wrong to lie (说谎) to you, but you tol d me that Dad would talk to me later. Mom, I didn't quite like what you did to me! I really love you, Mom, but I hop e you won't be s o hard on me.Love, David4. David's mother wants him_______when he grows up.A. to be a teacherB. to find a good jobC. to work in a big cityD. to become a football player5. David's mother asked him_______.A. to watch TVB. to play sportsC. to play computer gamesD. to study all the time6. From the letter we know_______.A. David lives a very happy lifeB. David hates his motherC. David wishes to study all the timeD. David's mom is very hard on himCA well-dressed man goes into Burger&Lobster one day. He sits down at a table near the window.A waiter comes up to him and says, “Can I help you, Sir?”The man says , “Can I see the menu?” “Sure.”The man wants a lot of nice dishes. The waiter gets them for him. At the end of his dishes, a boy comes in and sits down next to the man. He asks the man to give him an ice cream. The man says, “I go out for a newspaper.”Then he goes out. After the boy eats his ice cream up, he stands up and goes to the door, “ Excuse me, your father doesn’t give the money.” The waiter stops him and says.“Father? You are wrong. He isn’t my father. I don’t know him. I meet him in the street. He says he will give me an ice cream if I come here at 12 o’clock.”7. Burger&Lobster may be a_______.A. schoolB. newsstand (报亭)C. restaurantD. hotel8. The man asks the waiter to bring him_______A. a lot of ice creamB. only breadC. a lot of nice dishesD. a newspaper9.The man asks_______for the boy.A. some breadB. an ice creamC. some dishesD. some chicken10. Who’s cheated (被骗) in the story?A. The well-dressed manB. The boyC. The waiterD. The boy’s father四、词汇运用1. I ho pe to be an_______(工程师) in the future.2.Thank you for _______(邀请) me to your birthday party.3. Hurry up, or we’ll _______(错过) the beginning of the show.4. _______(穿过)the bridge, and then turn left. It’s on your right.5. She often_______(分享) her things with us and we all like her.6. Today is my brother’s_______(nine) birthday and We all have a good time.7. Mum, what are you_______(prepare) for us in the kitchen?8. How_______(danger) it is to drive after drinking.9. May Day is coming, and the station will be full of_______(visit) from many places.10. We’d better eat less_______(west) fast food ,such as KFC, for it has too high calorie.五、缺词填空My hometown is a beautiful city-Yangzhou. It’s a small city in Jiangsu Province.Yangzhou is a city of w______! There are many rivers here and you can see many b______over them. As we know, Yangzhou is a good place to travel. You can e_____some famous gardens, like Ge Garden and He Garden. After that, you can have a big m______. There’re many restaurants here. They are from d______areas and countries. If you want to eat noodles and pastry, you can go to one place c______“WeiYang Teahouse”.Next, you must go to Yangzhou Library to have a look. It’s on Wenchang Road. It’s very large and q______. I think it’s a good place to read books.Yangzhou is a______a modern city. It’s only 20 minutes from the city centre to YangzhouIndustrial Park (工业园) by bus. There’re lots of tall b______and large factories. Most of the people in the industrial park are from foreign countries. But all of them can s______Chinese well, even some Yangzhou dialects (方言).This is Yangzhou, an old city, an old garden, a new city, a new wonderful park.六、句子翻译1. 有这些好心且乐于助人的邻居帮助你,你可真幸运。
江苏省扬州市江都区宜陵中学2013-2014学年七年级下第一次月考数学试题及答案
(考试时间:120分钟,本卷满分:150分)一、选择题(每题3分,共24分) 2014年3月 1.23)2(a -的计算结果是( )A 、94aB 、64aC 、64a -D 、62a2.能把一个三角形分成两个面积相等的三角形的是。
A 、角平分线B 、高C 、中线D 、一边的垂直平分线3. 如果(),990-=a ()11.0--=b ,235-⎪⎭⎫⎝⎛-=c ,那么c b a ,,三数的大小为( )A 、c b a >>B .b a c >> C.b c a >> D.a b c >> 4.已知三角形的三边分别为2,1-a ,4那么a 的取值范围是( ) A 、51<<a B 、73<<aC 、62<<aD 、64<<a 5.如图,已知△ABC 为直角三角形,∠C=090,若沿图中虚线剪去∠C , 则 ∠1+∠2等于 ( )A 、0270B 、0135C 、090D 、03156. 下列条件中能得到互相平行的直线的是( ) A 、互为邻补角的角平分线所在的直线 B 、对顶角的平分线所在的直线C 、两条平行线的一对内错角的平分线所在的直线D 、两条平行线的一对同旁内角的平分线所在的直线7.小明同学在计算某n 边形的内角和时,不小心少输入一个内角,得到和为2005°,则n 等于 ( ) A .11 B .12 C .13 D .148.如图a 是长方形纸带,∠DEF=24°,将纸带沿EF 折叠成图b ,再沿BF 折叠成图c ,则图 c 中的∠CFE 的度数( )A .104°B .106°C .108 °D .110° 二、填空题(每题3分,共30分)9、最薄的金箔的厚度为0.000000091m ,用科学记数法表示为 m .10.如果等式()2x21x -=,则x= .11.如图,直线a ∥b ,AC ⊥BC ,∠C =90°,则∠α= .12、若凸n 边形的内角和为1260°,则从一个顶点出发引的对角线条数是_ __.13、 若()=--==nnnxy y x 2,2,5则 .14、如图,小亮从A 点出发前进10m ,向右转15,再前进10m ,又向右转15,…,这样一直走下去,他第一次回到出发点A 时,一共走了________m .15、已知三角形的两边长是3和4,周长是偶数,则这样的三角形的第三边是 . 16、如图,在△ABC 中,∠ABC 、∠ACB 的平分线相交于点O ,∠A=40°,则∠BOC= . 17、如图所示,∠1=60°,则∠A+∠B+∠C+∠D+∠E+∠F 的度数为 . 18、如图,点D 是△ABC 的边BC 上任意一点,点E 、F 分别是线段AD 、CE 的中点,且△ABC 的面积为18cm ²,则△BEF 的面积= .三、解答题(共96分) 19.计算(20分): (1)、()()322332a a a a⋅--+- (2)、()()y x x y --2+3)(y x -+()x y y x -⋅-2)(2()3()12011020********-⎛⎫⎛⎫-++-⨯- ⎪ ⎪⎝⎭⎝⎭(4)、()99999931329-⎪⎭⎫ ⎝⎛⨯⎪⎭⎫ ⎝⎛⨯ 20.(8分)先化简,再求值:32233)21()(ab b a -+-⋅,其中441==b a ,.21.求值:(16分) (1)若3x=2,3y=4,求92x-y+27x-y 的值。
江苏省扬州市江都区宜陵镇七年级数学下学期周周练四(无答案)苏科版
错题新练1若23,45x y ==,则22x y -的值为2如果4(1)1a a +-=成立,那么满足它的所有整数a 的值是 3已知8113=m ,则m = 。
4已知23.0-=a ,23--=b ,231-⎪⎭⎫ ⎝⎛-=c ,051⎪⎭⎫ ⎝⎛-=d ,则a 、b 、c 、d 大小关系正确的是( ) A .a <b <c <d B .b <a <d <c C .a <d <c <b D .c <a <d <b5计算031132()2----+ 03211()(2)()|2|23--+-+--巩固1已知3,2==n m a a ,那么n m a -2= 。
2若()125=++x x ,则x =_____________ 3如果(),990-=a ()11.0--=b ,235-⎪⎭⎫ ⎝⎛-=c ,那么c b a ,,三数的大小关系为( ) A.c b a >> B.b a c >> C.b c a >> D.a b c >>4下面是按一定规律排列的一列数:第1个数:11122-⎛⎫-+ ⎪⎝⎭; 第2个数:2311(1)(1)1113234⎛⎫⎛⎫---⎛⎫-+++ ⎪⎪ ⎪⎝⎭⎝⎭⎝⎭; 第3个数:234511(1)(1)(1)(1)11111423456⎛⎫⎛⎫⎛⎫⎛⎫-----⎛⎫-+++++ ⎪⎪⎪⎪ ⎪⎝⎭⎝⎭⎝⎭⎝⎭⎝⎭; ……那么,在第11个数、第12个数、第13个数、第14个数中,最大的数是( )A .第11个数B .第12个数C .第13个数D .第14个数4将边长为1的正方形纸片按图1所示方法进行对折,记第1次对折后得到的图形面积为S 1,第2次对折后得到的图形面积为S 2,……第n 次对折后得到的图形面积为S n ,请根据图2化简:S 1+S 2+S 3+…+S 2014=__________5⑴a 2•(-a 4)+(-a 3)2 ⑵ 120211()(2)5()42---+-⨯- (3)(-381)12×(258)11 6若1246327819x x x ---⋅= ,求x 的值. 提高 在形如a b =N 的式子中,我们已经研究过已知a 和b ,求N ,这种运算就是乘方运算. 现在我们研究另一种情况:已知a 和N ,求b ,我们把这种运算叫做对数运算.定义:如果a b =N (a >0,a ≠1,N >0),则b 叫做以a 为底N 的对数,记作b=log a N .例如:因为23=8,所以log 28=3;因为,所以.(1)根据定义计算:①log 381= ;②log 33= ;③lo g 31= ;④如果log x 16=4,那么x= .(2)设a x =M ,a y =N ,则log a M=x ,log a N=y (a >0,a ≠1,M 、N 均为正数),因为a x •a y =a x+y ,所以a x+y =M•N 所以log a MN=x+y ,即log a MN=log a M+log a N .这是对数运算的重要性质之一,进一步,我们还可以得出:log a M 1M 2M 3…M n = .(其中M 1、M 2、M 3、…、M n 均为正数,a >0,a ≠1)= (a >0,a ≠1,M 、N 均为正数).(3)结合上面的知识你能求出的值吗?1给出下列命题①三条线段组成的图形叫三角形,②三角形的三条高相交于三角形内同一点,③任何一个三角形都有三条角平分线、三条中线、三条高④三角形的内角和等于外角和、⑤多边形的内角和大于外角和⑥三角形的三条角平分线相交于形内同一点.其中正确的有( )A .1个B .2个C .3个D .4个2小明同学在计算某n 边形的内角和时,不小心少输入一个内角,得到和为2005°.则n 等于( )A .11B .12C .13D .143一个正方形和两个等边三角形的位置如图所示,∠3=50°,则∠1+∠2=( )A .90°B .100° C.130° D .180°4如右图,△ABC的面积为1.分别倍长(延长一倍)AB,BC,CA得到△A1B1C1.再分别倍长A1B1,B1C1,C1A1得到△A2B2C2.…按此规律,倍长n次后得到的△A n B n C n的面积为.5若凸n边形的内角和为1260°,则从一个顶点出发引的对角线条数是.6如图所示,∠1=60°,则∠A+∠B+∠C+∠D+∠E+∠F的度数为.7在方格纸内将△ABC经过一次平移后得到△A′B′C′,图中标出了点B的对应点B′.利用网格点和三角板画图或计算:(1)在给定方格纸中画出平移后的△A′B′C′;(2)画出AB边上的中线CD,BC边上的高线AE;(3)图中AC与A1C1的关系是:;(4)△A′B′C′的面积为.8如图,已知BD平分∠ABC,点F在AB上,点G在AC上,连接FG、FC,FC与BD相交于点H,如果∠GFH与∠BHC互补.求证:∠1=∠2.9如图,O是△ABC的3条角平分线的交点,0G⊥BC,垂足为G.(1)猜想:∠BOC与∠BAC之间的数量关系,并说明理由;(2)∠DOB与∠GOC相等吗?为什么?10探究与发现:RtΔABC中,∠C=90°,点D、E分别是ΔABC边AC、BC上的点,点P是一动点.令∠PDA=∠1,∠PEB=∠2,∠DPE=∠.(1)若点P在线段AB上,如图(1)所示,且∠=50°,则∠1+∠2=___________ °;(2)若点P在边AB上运动,如图(2)所示,则∠、∠1、∠2之间有何关系?(3)若点P在Rt△ABC斜边BA的延长线上运动(CE<CD),则∠、∠1、∠2之间有何关系?猜想并说明理由。
初中数学江苏省扬州市江都区七年级(下)期中数学考试卷及解析.docx
xx学校xx学年xx学期xx试卷姓名:_____________ 年级:____________ 学号:______________题型选择题填空题简答题xx题xx题xx题总分得分一、xx题(每空xx 分,共xx分)试题1:下列计算错误的是()A.a•a5÷a4=a2B.a3÷a=a2C.x2÷(﹣x)2=1 D.x3÷x•x2=1试题2:如图,直线a∥b,∠1=40°,则∠2=()A.40°B.60°C.100°D.140°试题3:下列长度的三根木棒首尾相接,不能做成三角形的框架的是()A.5cm,7cm,10cm B.7cm,10cm,13cm C.5cm,7cm,13cm D.5cm,10cm,13cm试题4:下列现象是数学中的平移的是()A.秋天的树叶从树上随风飘落B.碟片在光驱中运行C.电梯由一楼升到顶楼D.“神舟”七号宇宙飞船绕地球运动试题5:评卷人得分下列各式能用平方差公式进行计算的是()A.(x﹣3)(﹣x+3) B.(a+2b)(2a﹣b) C.(a﹣1)(﹣a﹣1)D.(x﹣3)2试题6:如图,将三角尺的直角顶点放在直尺的一边上,∠1=30°,∠2=50°,则∠3的度数等于()A.50°B.30°C.20°D.15°试题7:下列各式中与2nm﹣m2﹣n2相等的是()A.(m﹣n)2B.﹣(m﹣n)2C.﹣(m+n)2D.(m+n)2试题8:如图所示,两个正方形的边长分别为a和b,如果a+b=10,ab=20,那么阴影部分的面积是()A.10 B.20 C.30 D.40试题9:计算:a2•a4= .试题10:在△ABC中,∠A=30°,∠C=90°,则∠B= 度.试题11:如果一个多边形的内角和是1440°,那么这个多边形是边形.试题12:某种植物的细胞直径约为0.00012mm,用科学记数法表示这个数为mm.试题13:若x m+2n=16,x n=2,(x≠0),求x m+n= .试题14:如图,把边长为3cm的正方形ABCD先向右平移1cm,再向上平移1cm,得到正方形EFGH,则阴影部分的面积为.试题15:若a2+ma+36是一个完全平方式,则m= .试题16:已知x+y=6,xy=4,则x2y+xy2的值.试题17:现定义运算a⊕b=ab,a⊗b=a(1﹣b),则m2⊗(m⊕n)= .试题18:如图a是长方形纸带,∠DEF=25°,将纸带沿EF折叠成图b,再沿BF折叠成图c,则图c中的∠CFE的度数是°.试题19:试题20:(﹣2a)3﹣(﹣a)•(3a)2试题21:(x+2)2﹣(x﹣1)(x﹣2)试题22:(a+b)2(a﹣b)2试题23:a﹣3)(a+3)(a2+9)试题24:(m﹣2n+3)(m+2n﹣3)试题25:分解因式:(1)9﹣x2(2)m2﹣10m+25(3)3a3﹣6a2+3a(4)x4﹣2x2+1.试题26:现有三个多项式①2m2+m﹣4,②2m2+9m+4,③2m2﹣m请你选择其中两个进行加(或减)法计算,并把结果因式分解.(1)我选择进行法运算;(2)解答过程:试题27:化简求值:,其中.试题28:在正方形网格中,每个小正方形的边长均为1个单位长度,△ABC的三个顶点的位置如图所示,现将△ABC平移,使点A 变换为点A′,点B′、C′分别是B、C的对应点.(1)请画出平移后的△A′B′C′,并求△A′B′C′的面积;(2)若连接AA′,CC′,则这两条线段之间的关系是.试题29:如图,在△ABC中,∠B=40°,∠C=80°,按要求完成下列各题:(1)作△ABC的高AD;(2)作△ABC的角平分线AE;(3)根据你所画的图形求∠DAE的度数.试题30:如图,在△ABC中,CD是高,点E、F、G分别在BC、AB、AC上且EF⊥AB,∠1=∠2,试判断DG与BC的位置关系,并说明理由.试题31:26.(1)教材在探索平方差公式时利用了面积法,面积法除了可以帮助我们记忆公式,还可以直观地推导或验证公式,俗称“无字证明”,例如,著名的赵爽弦图(如图①,其中四个直角三角形较大的直角边长都为a,较小的直角边长都为b,斜边长都为c),大正方形的面积可以表示为c2,也可以表示为由此推导出重要的勾股定理:如果直角三角形两条直角边长为a,b,斜边长为c,则a2+b2=c2.图②为美国第二十任总统伽菲尔德的“总统证法”,请你利用图②推导勾股定理.(2)试用勾股定理解决以下问题:如果直角三角形ABC的两直角边长为3和4,则斜边上的高为(3)试构造一个图形,使它的面积能够解释(a﹣2b)2=a2﹣4ab+4b2,画在下面的网格中,并标出字母a、b所表示的线段.试题1答案:考点:同底数幂的除法;同底数幂的乘法;幂的乘方与积的乘方..分析:根据同底数幂的除法法则:底数不变,指数相减,对各选项依次进行计算判断即可.解答:解:A、a•a5÷a4=a6﹣4=a2,计算正确,不符合题意,故本选项错误;B、a3÷a=a2,计算正确,不符合题意,故本选项错误;C、x2÷(﹣x)2=1,计算正正确,不符合题意,故本选项错误;D、x3÷x•x2=x4,计算正错误,符合题意,故本选项正确;故选D.点评:本题考查了同底数幂的除法,属于基础题,解答本题的关键是熟练掌握同底数幂的除法法则.试题2答案:考点:平行线的性质;对顶角、邻补角..专题:计算题.分析:根据平行线的性质和邻补角互补作答.解答:解:如图,∵a∥b,∴∠1=∠3=40°;∵∠2+∠3=180°,∴∠2=140°.故选D.点评:此题考查了平行线的性质:两直线平行,同位角相等和邻补角互补.试题3答案:考点:三角形三边关系..分析:根据三角形的三边关系“两边之和大于第三边,两边之差小于第三边”进行分析判断.解答:解:A中,5+7>10,7﹣5<10,符合;B中,10+7>13,10﹣7<13,符合;C中,5+7<13,不符合;D中,5+10>13,10﹣5<13,符合.故选C.点评:一定注意构成三角形的三边关系:两边之和大于第三边,两边之差小于第三边.试题4答案:考点:生活中的平移现象..分析:根据平移的定义,结合选项一一分析,排除错误答案.解答:解:A、秋天的树叶从树上随风飘落不是沿直线运动,不符合平移定义,故错误;B、碟片在光驱中运行属于旋转,故错误;C、电梯由一楼升到顶楼沿直线运动,符合平移定义,故正确;D、“神舟”七号宇宙飞船绕地球运动不是沿直线运动,故错误.故选C.点评:本题考查了图形的平移,图形的平移只改变图形的位置,而不改变图形的形状和大小,学生易混淆图形的平移与旋转或翻转,而误选A、B、D.考点:平方差公式..分析:本题是平方差公式的应用,在所给的两个式子中,必须有一项完全相同,有一项相反才可用平方差公式.解答:解:A、B中不存在相同的项,C、﹣1是相同的项,互为相反项是a与﹣a,所以(a﹣1)(﹣a﹣1)=1﹣a2.D、(x﹣3)2符合完全平方公式.因此A、B、D都不符合平方差公式的要求;故选C.点评:本题考查了平方差公式,熟记公式结构是解题的关键.试题6答案:考点:平行线的性质;三角形的外角性质..专题:计算题;压轴题.分析:首先根据平行线的性质得到∠2的同位角∠4的度数,再根据三角形的外角的性质进行求解.解答:解:根据平行线的性质,得∠4=∠2=50°.∴∠3=∠4﹣∠1=50°﹣30°=20°.故选C.点评:本题应用的知识点为:三角形的外角等于与它不相邻的两个内角的和.两直线平行,同位角相等.考点:完全平方公式..分析:把原式化为完全平方式的形式即可得出结论.解答:解:原式=﹣(m2+n2﹣2mn)=﹣(m﹣n)2.故选B.点评:本题考查的是完全平方式,根据题意把原式化为完全平方式的形式是解答此题的关键.试题8答案:考点:整式的混合运算..专题:计算题.分析:根据题意得到S阴影部分=S△BCD+S正方形CEFG﹣S△BGF,利用三角形面积公式和正方形的面积公式得S阴影部分=•a•a+b2﹣•b•(a+b),变形后得到S阴影部分=[(a+b)2﹣3ab],然后把a+b=10,ab=20整体代入计算即可.解答:解:S阴影部分=S△BCD+S正方形CEFG﹣S△BGF=•a•a+b2﹣•b•(a+b)=a2+b2﹣ab﹣b2=[(a2+b2)﹣ab]=[(a+b)2﹣3ab],当a+b=10,ab=20时,S阴影部分=[102﹣3×20]=20.故选B.点评:本题考查了整式的混合运算:先进行整式的乘方运算,再进行整式的乘除运算,然后进行整式的加减运算.也考查了整体思想的运用.试题9答案:考点:同底数幂的乘法..专题:计算题.分析:根据同底数幂的乘法法则:同底数幂相乘,底数不变,指数相加,进行运算即可.解答:解:a2•a4=a2+4=a6.故答案为:a6.点评:此题考查了同底数幂的乘法运算,属于基础题,解答本题的关键是掌握同底数幂的乘法法则.试题10答案:考点:三角形内角和定理..分析:根据三角形内角和定理可知.解答:解:∠B=180°﹣∠A﹣∠C=180°﹣30°﹣90°=60°.点评:本题考查了三角形内角和定理:三角形内角和为180°.试题11答案:考点:多边形内角与外角..专题:计算题.分析:利用多边形的内角和为(n﹣2)•180°即可解决问题.解答:解:设它的边数为n,根据题意,得(n﹣2)•180°=1440°,所以n=10.所以这是一个十边形.点评:本题需仔细分析题意,利用多边形的内角和公式结合方程即可解决问题.试题12答案:考点:科学记数法—表示较小的数..分析:绝对值小于1的正数也可以利用科学记数法表示,一般形式为a×10﹣n,与较大数的科学记数法不同的是其所使用的是负指数幂,指数由原数左边起第一个不为零的数字前面的0的个数所决定.解答:解:0.00012=1.2×10﹣4mm,故答案为:1.2×10﹣4.点评:本题考查用科学记数法表示较小的数,一般形式为a×10﹣n,其中1≤|a|<10,n为由原数左边起第一个不为零的数字前面的0的个数所决定.试题13答案:考点:同底数幂的除法..分析:根据同底数幂的除法,底数不变指数相减得出x m+2n÷x n=x m+n=16÷2=8.解答:解:x m+2n÷x n=x m+n=16÷2=8,∴x m+n的值为8.故答案为:8.点评:本题考查同底数幂的除法法则:底数不变指数相减,牢记法则是解答本题的关键.试题14答案:考点:平移的性质..分析:根据平移的性质判断出阴影部分是正方形并求出边长,然后根据面积公式列式进行计算即可得解.解答:解:∵正方形ABCD向右平移1cm,向上平移1cm,∴阴影部分是边长为3﹣1=2的正方形,∴阴影部分的面积=22=4.故答案为:4.本题考查了平移的性质,判断出阴影部分是正方形并求出边长是解题的关键.试题15答案:考点:完全平方式..分析:由完全平方公式:(a±b)2=a2±2ab+b2.把所求式化成该形式就能求出m的值.解答:解:a2+ma+36=(a±6)2,解得m=±12.点评:本题是完全平方公式的应用,两数的平方和,再加上或减去它们积的2倍,就构成了一个完全平方式.此题解题的关键是利用平方项求乘积项.试题16答案:考点:因式分解的应用..分析:先提取公因式xy,整理后把已知条件直接代入计算即可.解答:解:∵x+y=6,xy=4,∴x2y+xy2=xy(x+y)=4×6=24.故答案为:24.点评:本题考查了提公因式法分解因式,提取公因式后整理成已知条件的形式是解本题的关键.试题17答案:整式的混合运算..专题:新定义.分析:根据体质的新定义将所求式子化为普通运算,计算即可得到结果.解答:解:根据题意得:m2⊗(m⊕n)=m2⊗(mn)=m2(1﹣mn)=m2﹣m3n.故答案为:m2﹣m3n点评:此题考查了整式的混合运算,弄清题中的新定义是解本题的关键.试题18答案:考点:翻折变换(折叠问题)..分析:根据两条直线平行,内错角相等,则∠BFE=∠DEF=25°,根据平角定义,则∠EFC=155°,进一步求得∠BFC=155°﹣25°=130°,进而求得∠CFE=130°﹣25°=105°.解答:解:∵AD∥BC,∠DEF=25°,∴∠BFE=∠DEF=25°,∴∠EFC=155°,∴∠BFC=155°﹣25°=130°,∴∠CFE=130°﹣25°=105°.故答案为:105.点评:此题主要是根据折叠能够发现相等的角,同时运用了平行线的性质和平角定义.试题19答案:原式=﹣4+1﹣(﹣2)=﹣1;试题20答案:原式=﹣8a3+9a3=a3;试题21答案:原式=x2+4x+4﹣(x2﹣3x+2)=x2+4x+4﹣x2+3x﹣27x+2;试题22答案:原式=(a2﹣b2)2=a4﹣2a2b2+b4;试题23答案:原式=(a2﹣9)(a2+9)=a4﹣81;试题24答案:原式=m2﹣(2n﹣3)2=m2﹣4n2+12n﹣9.试题25答案:考点:提公因式法与公式法的综合运用..分析:(1)直接利用平方差公式进行分解即可;(2)利用完全平方公式进行分解即可;(3)首先提取公因式3a,再利用完全平方公式进行分解;(4)直接利用完全平方公式进行分解,再利用平方差进行二次分解即可.解答:解:(1)原式=(3+x)(3﹣x);(2)原式=(m﹣5)2;(3)原式=3a(a2﹣2a+1),=3a(a﹣1)2;(4)原式=(x2﹣1)2,=(x+1)2(x﹣1)2.点评:本题考查了用提公因式法和公式法进行因式分解,一个多项式有公因式首先提取公因式,然后再用其他方法进行因式分解,同时因式分解要彻底,直到不能分解为止.试题26答案:考点:因式分解-提公因式法..专题:开放型.分析:(1)任选两个多项式相加或相减;(2)将计算结果利用提公因式法或公式法进行解答.解答:解:(1)选①②进行加法运算;(2)2m2+m﹣4+2m2+9m+4=4m2+10m=2m(2m+5).点评:本题考查了因式分解法提公因式,要充分利用所给条件进行解答.试题27答案:考点:整式的混合运算—化简求值;幂的乘方与积的乘方..分析:根据幂的乘方,底数不变指数相乘;积的乘方,等于把积的每一个因式分别乘方,再把所得的幂相乘化简,然后代入数据计算即可.解答:解:,=a3b6+(﹣a3b6),=a3b6,当时,原式=×()3×46=56.点评:此题主要考查幂的乘方运算,合并同类项的法则,注意掌握(a m)n=a mn.熟练掌握运算性质是解题的关键.试题28答案:考点:作图-平移变换..专题:网格型.分析:(1)连接AA′,作BB′∥AA′,CC′∥AA′,且BB′=CC′=AA′,顺次连接A′,B′,C′即为平移后的三角形,△A′B′C′的面积等于边长为3,3的正方形的面积减去直角边长为2,1的直角三角形的面积,减去直角边长为3,2的直角三角形的面积,减去边长为1,3的直角三角形面积;(2)根据平移前后对应点的连线平行且相等判断即可.解答:解:(1)S=3×3﹣×2×1﹣×2×3﹣×1×3=3.5;(2)平行且相等.点评:格点中的三角形的面积通常整理为长方形的面积与几个三角形的面积的差;图形的平移要归结为各顶点的平移;平移作图的一般步骤为:①确定平移的方向和距离,先确定一组对应点;②确定图形中的关键点;③利用第一组对应点和平移的性质确定图中所有关键点的对应点;④按原图形顺序依次连接对应点,所得到的图形即为平移后的图形.试题29答案:考点:作图—复杂作图..分析:(1)以点A为圆心,适当长为半径画弧,交BC于两点,以这两点为圆心,大于这两点距离的一半为半径画弧,两弧交于一点,做过这点和点A的直线交BC于点D即可;(2)以点A为圆心,以任意长为半径画弧,交AB,AC于两点,分别以这两点为圆心,大于这两点的距离的一半为半径画弧,在∠CAB的内部交于一点,过这一点及点A作直线交BC于点E,AE就是所求的∠A的平分线;(3)利用角平分线把一个角平分的性质和高线得到90°的性质可得∠DAE的度数.解答:解:(1),(2)如图.(2)∵∠DAB=180°﹣∠ABC﹣∠ADB=180°﹣90°﹣40°=50°,∠BAC=180°﹣∠ABC﹣∠C=180°﹣40°﹣80°=60°,又∵AE平分∠BAC,∴∠BAE=∠BAC=30°,(角平分线的定义)(7分)∴∠DAE=∠DAB﹣∠BAE=50°﹣30°=20°.(8分)点评:考查三角形的高与角平分线的画法;求三角形同一顶点处的高线与角平分线的夹角注意运用角平分线的性质,高线的性质,以及三角形内角和定理.试题30答案:考点:平行线的判定与性质..专题:探究型.分析:根据垂直的定义可得∠EFB=∠CDB=90°,然后根据同位角相等两直线平行可得CD∥EF,再根据两直线平行,同位角相等求出∠2=∠3,然后求出∠1=∠3,再根据内错角相等,两直线平行证明即可.解答:解:DG∥BC.理由如下:∵CD是高,EF⊥AB,∴∠EFB=∠CDB=90°,∴CD∥EF,∴∠2=∠3,∵∠1=∠2,∴∠1=∠3,∴DG∥BC.点评:本题考查了平行线的性质与判定,是基础题,熟记平行线的性质与判定方法是解题的关键.试题31答案:考点:勾股定理的证明;完全平方公式的几何背景;勾股定理..专题:计算题.分析:(1)梯形的面积可以由梯形的面积公式求出,也利用三个直角三角形面积求出,两次求出的面积相等列出关系式,化简即可得证;(2)由两直角边,利用勾股定理求出斜边长,再利用面积法即可求出斜边上的高;(3)已知图形面积的表达式,即可根据表达式得出图形的边长的表达式,即可画出图形.解答:解:(1)梯形ABCD的面积为(a+b)(a+b)=a2+ab+b2,也利用表示为ab+c2+ab,∴a2+ab+b2=ab+c2+ab,即a2+b2=c2;(2)∵直角三角形的两直角边分别为3,4,∴斜边为5,∵设斜边上的高为h,直角三角形的面积为×3×4=×5×h,∴h=;(3)∵图形面积为:(a﹣2b)2=a2﹣4ab+4b2,∴边长为a﹣2b,由此可画出的图形为:故答案为:(2).点评:此题考查了勾股定理的证明,勾股定理,多项式的乘法的运用以及由多项式画图形的创新题型,此类证明要转化成同一个东西的两种表示方法,从而转化成方程达到证明的结果.。
江苏省扬州市江都区宜陵镇中学2014-2015学年七年级数学9月月考模拟试题 苏科版
某某省某某市江都区宜陵镇中学2014-2015学年七年级数学9月月考模拟试题一、选择题:(本大题共12小题,每小题2分,共24分)1.如图,下列图案中是轴对称图形的是( )A.(1)、(2) B.(1)、(3) C.(1)、(4) D.(2)、(3)2.使31x 有意义的x的取值X围是()A.x>13B.x>-13C.x≥13D.x≥-133.下列各根式中与2是同类二次根式的是()A.9B.13C.18D.124.已知点P在第四象限,且到x轴的距离为3,到y轴的距离为2,则点P的坐标为( ) A.(-2,3) B.(2,-3) C.(3,-2) D.(-3,2)5.如果点P(m,1-2m)在第一象限,那么m的取值X围是()A.0<m<12B.-12<m<0 C.m<0 D. m>126. 已知三组数据:①2,3,4;②3,4,5;③1,3,2.分别以每组数据中的三个数为三角形的三边长,构成直角三角形的有()A.② B.①② C.①③ D.②③7.如图,函数y=a(x-3)与y=ax,在同一坐标系中的大致图象是()8.如图已知双曲线y =kx(k<0)经过直角三角形OAB 斜边OA 的中点D ,且与直角边AB 交于点c .若点A 坐标为(-6,4), 则△AOC 的面积为( ) A .12 B .9 C .6D .4二、填空题:(本大题共10小题,每小题2分,共20分,把答案直接填在答题卡相对应的位置上) 9.362⨯-=. 10.若()2210a b -+-=则1a b+的值为. 11. 若分式392+-x x 的值为0,则x =___.12.已知正n 边形的一个内角为135º,则边数n 的值是___________.13. 已知:在△ABC 中,AB=AC ,AD ⊥BC,垂足为D ,点E 是AB 的中点,且AD=4,BC=6,则DE=__________. 14.若不等式组⎩⎨⎧≤-<+04241x ax 有解,则a 的取值X 围是________.15. 已知正方形①、②在直线上,正方形③如图放置,若正方形①、②的面积分别4cm 2和15cm 2,则正方形③的面积为。
苏科版七年级数学下册江都区国际学校—期末
江苏省扬州市江都区国际学校2014—2015学年下学期期末考试七年级数学试题一、选择题(每题有且只有一个答案正确,请把你认为正确的答案填在答题纸上,每题3分,共24分) 1. -12等于( ▲ ) A .12B .12-C .2D .2-2.下列运算中,正确的是( ▲ )A.44m m m =B.5210m m =() C.623m m m ÷= D.336+m m m = 3.已知b a <,c 是有理数,下列各式中正确的是( ▲ )A.22bc ac < B.b c a c -<- C.a c b c -<- D.cb c a < 4. 下列命题中的真命题...是( ▲ ) A .相等的角是对顶角 B .三角形的一个外角等于两个内角之和C .如果33a b =,那么a b = D. 内错角相等5. 如图,把三角板的直角顶点放在直尺的一边上,若130∠=︒,则2∠的度数为( ▲ )A.60︒ B.50︒ C.40︒ D.30︒第5题图 第6题图① 第6题图② 6. 把三张大小相同的正方形卡片A 、B 、C 叠放在一个底面为正方形的盒底上,盒底底面未被卡片覆盖的部分用阴影表示.若按图①摆放时,阴影部分的面积为1S ,若按图②摆放时,阴影部分的面积为2S ,则1S 与2S 的大小关系为( ▲ )A. 1S >2SB. 1S <2SC. 1S =2SD.不能确定BACCBA7.某蔬菜公司收购到某种蔬菜140吨,准备加工上市销售,该公司的加工能力是:每天可以精加工6吨或粗加工16吨.现计划用15天完成加工任务,该公司应安排几天精加工,几天粗加工?设安排x 天精加工,y 天粗加工.为解决这个问题,所列方程组正确的是( ▲ ) A.14016615x y x y +=⎧⎨+=⎩, B.140 61615x y x y +=⎧⎨+=⎩, C.15166140x y x y +=⎧⎨+=⎩, D.15616140x y x y +=⎧⎨+=⎩, 8. 如图,在四边形ABCD 中,A B C ∠∠∠==,点E 在边AB 上,60AED ∠︒=,则一定有( ▲ )A .20ADE ∠︒=B .30ADE ∠︒=C .12ADE ADC ∠∠=D .13ADE ADC ∠∠= 二、填空题(每题3分,共30分)9. 某种生物细胞的直径约为0.00056米,用科学记数法表示为 ▲ 米.10.多项式29x -因式分解的结果是 ▲ .11.等腰三角形的两边长分别为5和10,则它的周长为 ▲ . 12.若,21,8==n ma a则m n a -= ▲ . 13.如果2x y -=,3xy =,则22x y xy -= ▲ .14.一个多边形的内角和是其外角和的2倍,那么这个多边形的边数n = ▲ . 15.“同位角相等”的逆命题是 ▲ .16.已知关于x ,y 的二元一次方程组⎩⎨⎧-=+=+12,32y x k y x 的解互为相反数,则k 的值是 ▲ .17.小聪,小玲,小红三人参加“普法知识竞赛”,其中前5题是选择题,每题10分,每题有A 、B 两个选项,且只有一个选项是正确的,三人的答案和得分如下表,试问:这五道题的正确答案(按1~5题的顺序排列)是 ▲ .选手 题号12345得分小聪 B A A B A 40小玲 B A B A A 40 小红ABBBA30EDCB A18.当三角形中一个内角是另一个内角的3倍时,我们称此三角形为“梦想三角形”.如果一个“梦想三角形”有一个角为108︒,那么这个“梦想三角形”的最小内角的度数为 ▲ .三.解答题(本大题共10题,满分96分) 19.(本题满分8分,每小题4分) (1)计算:0231(2009)()(2)2--++-; (2)化简:()()()y x x y y x -+--33322.20.(本题满分8分,每小题4分)(1)因式分解:2244ax axy ay -+; (2)解方程组: 31,328x y x y +=-⎧⎨-=⎩21. (本题满分8分,每小题4分)(1) 先化简,再求值:()()()2x y x y x x y xy +--++ ,其中1,2x y =-=(2)解不等式组:⎩⎨⎧>-+-≤-0)3()1(202x x x ,并把它的解集在数轴上表示出来.22.(本题满分8分) 如图,EFBC ,AC 平分BAF ∠,80B ∠=︒.求C ∠的度数.23.(本题满分10分)食品安全是老百姓关注的话题,在食品中添加过量的添加剂对人体有害,但适量的添加剂对人体无害且有利于食品的储存和运输.某饮料加工厂生产的A 、B 两种饮料均需加入同种添加剂,A 饮料每瓶需加该添加剂2克,B 饮料每瓶需加该添加剂3克,已知270克该添加剂恰好生产了A 、B 两种饮料共100瓶,问A 、B 两种饮料各生产了多少瓶?24.(本题满分10分)如图,已知DAC ∠是ABC ∆的一个外角,请在下列三个关系: ①B C ∠=∠; ②AE 平分DAC ∠ ③AE BC 中,选出两个恰当的关系作为条件,另一个作为结论,组成一个命题.(1)请写出所有的真命题(用序号表示); (2)请选择其中的一个真命题加以证明.EDCBA25.(本题满分10分)在如图所示的方格纸中,每个小正方形方格的边长都为1,△ABC 的三个顶点在格点上.(1)画出△ABC 的AC 边上的高,垂足为D ;(2)①画出将△ABC 先向左平移2格,再向下平移2格得到的△111A B C ; ②平移后,求线段AC 所扫过的部分所组成的封闭图形....的面积.26.(本题满分10分)某小区为了绿化环境,计划分两次购进A 、B 两种花草,第一次分别购进A 、B 两种花草30棵和15棵,共花费675元;第二次分别购进A 、B 两种花草12 棵和5棵.两次共.花费940元(两次购进的A 、B 两种花草价格均分别相同). (1)A 、B 两种花草每棵的价格分别是多少元?(2)若再次购买A 、B 两种花草共12棵(A 、B 两种花草价格不变),且A 种花草的数量不少于B 种花草的数量的4倍,请你给出一种费用最省的方案,并求出该方案所需费用.27.(本题满分12分)对于三个数,,a b c ,{},,M a b c 表示,,a b c 这三个数的平均数,{}min ,,a b c 表示,,a b c 这三个数中最小的数,如:{}12341,2,333M -++-==, {}1,2,min 31-=-;{}1211,2,33a a M a -+++-==,{}1in ,m ,2a -=()11(1)a a a ⎧≤-⎪⎨->-⎪⎩; 解决下列问题:(1)填空:{}220min 2,2,2013--= ▲ ; (2)若{}min 2,22,422x x +-=,求x 的取值范围;(3)①若{}2,1,2M x x +={}min 2,1,2x x +,那么x = ▲ ;②根据①,你发现结论“若{},,M a b c {}min ,,a b c =,则 ▲ ”(填,,a b c 的大小关系); ③运用②解决问题:若{}22,2,2x y x y M y x +++-{}min 22,2,2x y x y x y =+++-,求x y +的值.28. (本题满分12分)已知△ABC 中,ABC ACB ∠=∠,D 为射线CB 上一点(不与C 、B 重合),点E 为射线CA 上一点,ADE AED ∠=∠.设BAD α∠=,CDE β∠=.(1) 如图(1),① 若40BAC ∠︒=,30DAE ∠︒=,则α= ▲ ,β= ▲ . ② 写出α与β的数量关系,并说明理由;(2) 如图(2),当D 点在BC 边上,E 点在CA 的延长线上时,其它条件不变,写出α与β的数量关系,并说明理由.(3) 如图(3),D 在CB 的延长线上,根据已知补全图形,并直接写出α与β的关系式______ ▲ ___.图(1)图(2)图(3)七年级数学参考答案一、选择题(本大题共8小题,每小题3分,共24分)二、填空题(本大题共10小题,每题3分,共30分)9.-45.610⨯ 10.(3)(3)x x +- 11.25 12.1613.6 14.6 15.相等的角是同位角 16.1- 17.BABBA 18. 18︒或36︒三、解答题:(本大题有8题,共96分)19.(1)解:原式=1+4+(8)- ……2分3=- …………4分 (2)解:原式=22224129(9)x xy y x y -+-- ……2分=2251210x xy y --+ ………4分20.(1)解:原式=)44(22y xy x a +- ………………………2分 =2)2(y x a - ……………………… 4分 (2)解:①⨯3,得393x y +=- ③ ③-②,得1111y =- 解得1y =-将1y =-代入①,得2x =故方程组的解为2,1x y =⎧⎨=-⎩………………………4分21.(1)原式=xy xy x y x 2222+---=xy y +-2………………………2分 =24--=6-………………………4分 (2)解不等式①,得2≤x ………………………1分解不等式②,得1->x ………………………2分所以原不等式组的解集为21≤<-x ………………………3分………………………4分22.解:∵EFBC题号 1 2 3 4 56 7 8 答案 A B C C A CDD∴180100FAB B ∠=︒-∠=︒ ………………………3分 ∵AC 平分BAF ∠ ∴1502FAC FAB ∠=∠=︒ ………………………6分 ∵EFBC∴50C FAC ∠=∠=︒ ………………………8分 23.解:设A 饮料生产了x 瓶,B 饮料生产了y 瓶, 依题意得:10023270x y x y +=⎧⎨+=⎩ ………………………6分 解得:3070x y =⎧⎨=⎩ . ………………………9分答:A 饮料生产了30瓶,B 饮料生产了70瓶. ………………………10分 24.(1)①②⇒③或①③⇒②或②③⇒①………………………3分 (2)选②③⇒①,证明如下: ∵BC ∥AE∴C EAC B DAE ∠∠∠∠= = ∵AE 平分DAC ∠ ∴EAC DAE ∠∠=∴C B ∠∠=………………………10分 25.(1)标出D 点;…………3分 (2)①……………………6分 ②面积=9……………10分26.(1)设A 种花草每棵的价格x 元,B 种花草每棵的价格y 元,根据题意得:3015675125940675x y x y +=⎧⎨+=-⎩解得 205x y =⎧⎨=⎩∴ A 种花草每棵的价格是20元,B 种花草每棵的价格是5元.……………………………………………………5分(2)设A 种花草的数量为m 株,则B 种花草的数量为(12)m -株, ∵A 种花草的数量不少于B 种花草的数量的4倍, ∴4(12)m m ≥-解得:9.6m ≥9.612m ∴≤≤设购买树苗总费用为205(12)1560W m m m =+-=+,当10m =时,最省费用为:151060210⨯+=(元).答:购进A 种花草的数量为10株、B 种2株,费用最省;最省费用是210元. (本题也可以算出所有方案费用,取最小值.) …10分 27. (1)-4 …………………………1分 (2)由题意,得222,422x x +≥⎧⎨-≥⎩解得01x ≤≤ …………………………4分(3)①1 …………………………6分②a b c == …………………………8分 ③由题意,得22222x y x y x y x y ++=+⎧⎨+=-⎩ 解得31x y =-⎧⎨=-⎩ ∴4x y +=- . …………………………12分 28(本题满分12分)(1)①α=10︒,β=5︒.…………………………2分 ②解:=2αβ …………………………3分 设,BAC x DAE y ∠=︒∠=︒ ,则x y α=︒-︒∵ABC ACB ∠=∠ ∴1802x C ︒-︒∠=∵ADE AED ∠=∠∴1802y AED ︒-︒∠=∴180180222y x x y β︒-︒︒-︒︒-︒=-= ∴=2αβ…………………………5分(2) 1802αβ︒+=…………………………6分 设,BAC x DAE y ∠=︒∠=︒ ,则180CAD y ∠=︒-︒∴(180)180x y x y α=︒-︒-︒=︒-︒+︒∵ABC ACB ∠=∠ ∴1802x C ︒-︒∠=∵ADE AED ∠=∠∴1802y AED ︒-︒∠=∴180180180222y x x y β︒-︒︒-︒︒+︒=︒--= ∴1802αβ︒+=…………………………8分(3)画图…………………………10分 180-=2αβ︒ …………………………12分。
2015年江苏省扬州市江都区七年级下学期数学期末试卷与解析答案
2014-2015学年江苏省扬州市江都区七年级(下)期末数学试卷一、选择题(本大题共8题,每题3分,共24分.每题的四个选项中,只有一个选项是符合要求的,请将正确选择项前的字母代号填在下列表格内)1.(3分)下列各式中,正确的是()A.m5•m5=2m10 B.m4•m4=m8C.m3•m3=m9D.m6+m6=2m122.(3分)甲型流感病毒的直径大约为0.0000000081米,用科学记数法表示为()A.0.81×10﹣9米B.0.81×10﹣8米C.8.1×10﹣7米 D.8.1×10﹣9米3.(3分)把代数式mx2﹣6mx+9m分解因式,下列结果中正确的是()A.m(x+3)2B.m(x+3)(x﹣3)C.m(x﹣4)2D.m(x﹣3)2 4.(3分)如图,直线a∥b,∠1=75°,∠2=35°,则∠3的度数是()A.75°B.55°C.40°D.35°5.(3分)如果a<b,下列各式中不一定正确的是()A.a﹣1<b﹣1 B.<C.﹣3a>﹣3b D.<6.(3分)如图所示,把一个三角形纸片ABC顶角向内折叠3次之后,3个顶点不重合,那么图中∠1+∠2+∠3+∠4+∠5+∠6的度数和是()A.180°B.270° C.360° D.无法确定7.(3分)小亮的妈妈用28元钱买了甲、乙两种水果,甲种水果每千克4元,乙种水果每千克6元,且乙种水果比甲种水果少买了2千克,求小亮妈妈两种水果各买了多少千克?设小亮妈妈买了甲种水果x千克,乙种水果y千克,则可列方程组为()A.B.C.D.8.(3分)如图,把△ABC纸片沿DE折叠,当点A落在四边形BCED的外部时,则∠A与∠1和∠2之间有一种数量关系始终保持不变,请试着找一找这个规律,你发现的规律是()A.2∠A=∠1﹣∠2 B.3∠A=2(∠1﹣∠2)C.3∠A=2∠1﹣∠2 D.∠A=∠1﹣∠2二、填空题(本大题共10题,每题3分,共30分.把答案填在题目中的横线上)9.(3分)计算:(2x2)3=.10.(3分)计算:(m+2n)2=.11.(3分)因式分解:﹣x2+y2=.12.(3分)已知三条不同的直线a、b、c在同一平面内,下列四条命题:①如果a∥b,a⊥c,那么b⊥c;②如果b∥a,c∥a,那么b∥c;③如果b⊥a,c⊥a,那么b⊥c;④如果b⊥a,c⊥a,那么b∥c.其中真命题的是.(填写所有真命题的序号)13.(3分)已知:△ABC的三个内角满足∠A=2∠B=3∠C,则△ABC是三角形.(填“锐角”、“直角”、“钝角”)14.(3分)如图,把一块含有45°角的直角三角板的两个顶点放在直尺的对边上.如果∠1=20°,那么∠2的度数是.15.(3分)由方程组,可得到x与y的关系式是.16.(3分)若m=2n+3,则m2﹣4mn+4n2的值是.17.(3分)已知不等式2x﹣a<0的正整数解有且只有2个,则a的取值范围为.18.(3分)如图,用四个螺丝将四条不可弯曲的木条围成一个木框,不计螺丝大小,其中相邻两螺丝的距离依序为2、3、4、6,且相邻两木条的夹角均可调整.若调整木条的夹角时不破坏此木框,则任两螺丝的距离之最大值为.三、解答题(本大题共10题,共96分.解答应写出文字说明、证明过程或演算步骤)19.(8分)计算(1)()﹣2﹣32+(2x﹣5)0;(2)(2x2)3﹣2x2y3•3xy3.20.(8分)计算①﹣4a3b2•(2a4b2﹣ab3+3);②(3x2y﹣2xy2)(4xy2﹣x2y).21.(8分)因式分解:(1)m2(a﹣b)+n2(b﹣a);(2)x4﹣8x2+16.22.(8分)解不等式组:,并把解集在数轴上表示出来.23.(10分)已知:x+y=3,xy=﹣8,求:(1)x2+y2(2)(x2﹣1)(y2﹣1).24.(10分)如图,已知:DE⊥AC于E,BC⊥AC,CD⊥AB于D,∠1=∠2,说明:GF⊥AB.25.(10分)若方程组的解是一对正数,则:(1)求m的取值范围;(2)化简:|m﹣4|+|m+2|.26.(10分)“a2≥0”这个结论在数学中非常有用,有时我们需要将代数式配成完全平方式.例如:x2+4x+5=x2+4x+4+1=(x+2)2+1,∵(x+2)2≥0,∴(x+2)2+1≥1,∴x2+4x+5≥1.试利用“配方法”解决下列问题:(1)填空:x2﹣4x+5=(x)2+ ;(2)已知x2﹣4x+y2+2y+5=0,求x+y的值;(3)比较代数式:x2﹣1与2x﹣3的大小.27.(12分)某电器商场销售A、B两种型号计算器,两种计算器的进货价格分别为每台30元,40元,商场销售5台A型号和1台B型号计算器,可获利润76元;销售6台A型号和3台B型号计算器,可获利润120元.(1)求商场销售A、B两种型号计算器的销售价格分别是多少元?(利润=销售价格﹣进货价格)(2)商场准备用不多于2500元的资金购进A、B两种型号计算器共70台,问最少需要购进A型号的计算器多少台?28.(12分)如图(1),四边形ABCD中,AD∥BC,点E是线段CD上一点,(1)说明:∠AEB=∠DAE+∠CBE;(2)如图(2),当AE平分∠DAC,∠ABC=∠BAC.①说明:∠ABE+∠AEB=90°;②如图(3)若∠ACD的平分线与BA的延长线交于点F,且∠F=60°,求∠BCD.2014-2015学年江苏省扬州市江都区七年级(下)期末数学试卷参考答案与试题解析一、选择题(本大题共8题,每题3分,共24分.每题的四个选项中,只有一个选项是符合要求的,请将正确选择项前的字母代号填在下列表格内)1.(3分)下列各式中,正确的是()A.m5•m5=2m10 B.m4•m4=m8C.m3•m3=m9D.m6+m6=2m12【解答】解:A、m5•m5=m10,故错误;B、正确;C、m3•m3=m6,故错误;D、m6•m6=m12,故错误;故选:B.2.(3分)甲型流感病毒的直径大约为0.0000000081米,用科学记数法表示为()A.0.81×10﹣9米B.0.81×10﹣8米C.8.1×10﹣7米 D.8.1×10﹣9米【解答】解:0.00000000081=8.1×10﹣9,故选:D.3.(3分)把代数式mx2﹣6mx+9m分解因式,下列结果中正确的是()A.m(x+3)2B.m(x+3)(x﹣3)C.m(x﹣4)2D.m(x﹣3)2【解答】解:mx2﹣6mx+9m,=m(x2﹣6x+9),=m(x﹣3)2.故选:D.4.(3分)如图,直线a∥b,∠1=75°,∠2=35°,则∠3的度数是()A.75°B.55°C.40°D.35°【解答】解:∵直线a∥b,∠1=75°,∴∠4=∠1=75°,∵∠2+∠3=∠4,∴∠3=∠4﹣∠2=75°﹣35°=40°.故选:C.5.(3分)如果a<b,下列各式中不一定正确的是()A.a﹣1<b﹣1 B.<C.﹣3a>﹣3b D.<【解答】解:A、如果a<b,根据不等式两边同时减去一个数,不等号的方向不改变,则有a﹣1<b﹣1.故A选项不符合题意;B、如果a<b,令a=﹣2,b=﹣1,则有即,所以不成立,故B符合题意;C、如果a<b,根据不等式两边同时乘以一个负数,不等号的方向要改变,则有﹣3a>﹣3b.故B选项不符合题意;D、如果a<b,根据不等式两边同时除以一个正数,不等号的方向不改变,则有.故D不符合题意.故选:B.6.(3分)如图所示,把一个三角形纸片ABC顶角向内折叠3次之后,3个顶点不重合,那么图中∠1+∠2+∠3+∠4+∠5+∠6的度数和是()A.180°B.270° C.360° D.无法确定【解答】解:由题意知,∠1+∠2+∠3+∠4+∠5+∠6=∠B+∠B'+∠C+∠C'+∠A+∠A',∵∠B=∠B',∠C=∠C',∠A=∠A',∴∠1+∠2+∠3+∠4+∠5+∠6=2(∠B+∠C+∠A)=360°,故选:C.7.(3分)小亮的妈妈用28元钱买了甲、乙两种水果,甲种水果每千克4元,乙种水果每千克6元,且乙种水果比甲种水果少买了2千克,求小亮妈妈两种水果各买了多少千克?设小亮妈妈买了甲种水果x千克,乙种水果y千克,则可列方程组为()A.B.C.D.【解答】解:设小亮妈妈买了甲种水果x千克,乙种水果y千克,由题意得.故选:A.8.(3分)如图,把△ABC纸片沿DE折叠,当点A落在四边形BCED的外部时,则∠A与∠1和∠2之间有一种数量关系始终保持不变,请试着找一找这个规律,你发现的规律是()A.2∠A=∠1﹣∠2 B.3∠A=2(∠1﹣∠2)C.3∠A=2∠1﹣∠2 D.∠A=∠1﹣∠2【解答】解:如图,由翻折的性质得,∠3=∠A′DE,∠AED=∠A′ED,∴∠3=(180°﹣∠1),在△ADE中,∠AED=180°﹣∠3﹣∠A,∠CED=∠3+∠A,∴∠A′ED=∠CED+∠2=∠3+∠A+∠2,∴180°﹣∠3﹣∠A=∠3+∠A+∠2,整理得,2∠3+2∠A+∠2=180°,∴2×(180°﹣∠1)+2∠A+∠2=180°,∴2∠A=∠1﹣∠2.故选:A.二、填空题(本大题共10题,每题3分,共30分.把答案填在题目中的横线上)9.(3分)计算:(2x2)3=8x6.【解答】解:(2x2)3=8x6,故答案为8x6.10.(3分)计算:(m+2n)2=m2+4mn+4n2.【解答】解:原式=m2+4mn+4n2.故答案为:m2+4mn+4n2.11.(3分)因式分解:﹣x2+y2=(y+x)(y﹣x).【解答】解:原式=(y+x)(y﹣x).故答案为:(y+x)(y﹣x).12.(3分)已知三条不同的直线a、b、c在同一平面内,下列四条命题:①如果a∥b,a⊥c,那么b⊥c;②如果b∥a,c∥a,那么b∥c;③如果b⊥a,c⊥a,那么b⊥c;④如果b⊥a,c⊥a,那么b∥c.其中真命题的是①②④.(填写所有真命题的序号)【解答】解:①如果a∥b,a⊥c,那么b⊥c是真命题,故①正确;②如果b∥a,c∥a,那么b∥c是真命题,故②正确;③如果b⊥a,c⊥a,那么b⊥c是假命题,故③错误;④如果b⊥a,c⊥a,那么b∥c是真命题,故④正确.故答案为:①②④.13.(3分)已知:△ABC的三个内角满足∠A=2∠B=3∠C,则△ABC是钝角三角形.(填“锐角”、“直角”、“钝角”)【解答】解:设∠A、∠B、∠C分别为3k、k、k,则k+k+3k=180°,解得k≈33°,所以,最大的角∠A≈3×33°=99°,所以,这个三角形是钝角三角形.故答案为:钝角14.(3分)如图,把一块含有45°角的直角三角板的两个顶点放在直尺的对边上.如果∠1=20°,那么∠2的度数是25°.【解答】解:∵直尺的对边平行,∠1=20°,∴∠3=∠1=20°,∴∠2=45°﹣∠3=45°﹣20°=25°.故答案为:25°.15.(3分)由方程组,可得到x与y的关系式是x+y=9.【解答】解:,把②代入①得:x+y﹣3=6,则x+y=9.故答案为:x+y=9.16.(3分)若m=2n+3,则m2﹣4mn+4n2的值是9.【解答】解:∵m=2n+3,即m﹣2n=3,∴原式=(m﹣2n)2=9.故答案为:917.(3分)已知不等式2x﹣a<0的正整数解有且只有2个,则a的取值范围为4<a≤6.【解答】解:解不等式2x﹣a<0得,x<,∵其正整数解为1,2,∴2<≤3,解得4<a≤6.故答案为:4<a≤6.18.(3分)如图,用四个螺丝将四条不可弯曲的木条围成一个木框,不计螺丝大小,其中相邻两螺丝的距离依序为2、3、4、6,且相邻两木条的夹角均可调整.若调整木条的夹角时不破坏此木框,则任两螺丝的距离之最大值为7.【解答】解:已知4条木棍的四边长为2、3、4、6;①选2+3、4、6作为三角形,则三边长为5、4、6;6﹣5<4<6+5,能构成三角形,此时两个螺丝间的最长距离为6;②选3+4、6、2作为三角形,则三边长为2、7、6;6﹣2<7<6+2,能构成三角形,此时两个螺丝间的最大距离为7;③选4+6、2、3作为三角形,则三边长为10、2、3;2+3<10,不能构成三角形,此种情况不成立;综上所述,任两螺丝的距离之最大值为7.故答案为:7.三、解答题(本大题共10题,共96分.解答应写出文字说明、证明过程或演算步骤)19.(8分)计算(1)()﹣2﹣32+(2x﹣5)0;(2)(2x2)3﹣2x2y3•3xy3.【解答】解:(1)原式=9﹣9+1=1;(2)原式=8x6﹣6x3y6.20.(8分)计算①﹣4a3b2•(2a4b2﹣ab3+3);②(3x2y﹣2xy2)(4xy2﹣x2y).【解答】解:①原式=﹣8a7b4+4a4b5﹣12a3b2;②原式=12x3y3﹣3x4y2﹣8x2y4+2x3y3=14x3y3﹣3x4y2﹣8x2y4.21.(8分)因式分解:(1)m2(a﹣b)+n2(b﹣a);(2)x4﹣8x2+16.【解答】解:(1)m2(a﹣b)+n2(b﹣a)=m2(a﹣b)﹣n2(a﹣b)=(a﹣b)(m2﹣n2)=(a﹣b)(m+n)(m﹣n);(2)x4﹣8x2+16=(x2﹣4)2=(x+2)2(x﹣2)2.22.(8分)解不等式组:,并把解集在数轴上表示出来.【解答】解:∵解不等式①得:x>﹣3,解不等式②得:x≤2,∴不等式组的解集为﹣3<x≤2,在数轴上表示不等式组的解集为:.23.(10分)已知:x+y=3,xy=﹣8,求:(1)x2+y2(2)(x2﹣1)(y2﹣1).【解答】解:(1)∵x+y=3,xy=﹣8,∴原式=(x+y)2﹣2xy=9+16=25;(2)∵x+y=3,xy=﹣8,∴原式=x2y2﹣(x2+y2)+1=64﹣25+1=40.24.(10分)如图,已知:DE⊥AC于E,BC⊥AC,CD⊥AB于D,∠1=∠2,说明:GF⊥AB.【解答】解:∵DE⊥AC,BC⊥AC,∴∠AED=∠ACB=90°,∴DE∥BC,∴∠2=∠3,∵∠1=∠2,∴∠1=∠3,∴FG∥DC,∴∠BFG=∠BDC,∵CD⊥AB,∴∠BDC=90°,∴∠BFG=90°,∴GF⊥AB.25.(10分)若方程组的解是一对正数,则:(1)求m的取值范围;(2)化简:|m﹣4|+|m+2|.【解答】解:(1)方程组解得:,根据题意得:,解得:1<m<4;(2)∵1<m<4,∴m﹣4<0,m+2>0,则原式=﹣m+4+m+2=6.26.(10分)“a2≥0”这个结论在数学中非常有用,有时我们需要将代数式配成完全平方式.例如:x2+4x+5=x2+4x+4+1=(x+2)2+1,∵(x+2)2≥0,∴(x+2)2+1≥1,∴x2+4x+5≥1.试利用“配方法”解决下列问题:(1)填空:x2﹣4x+5=(x﹣2)2+ 1;(2)已知x2﹣4x+y2+2y+5=0,求x+y的值;(3)比较代数式:x2﹣1与2x﹣3的大小.【解答】解:(1)x2﹣4x+5=(x﹣2)2+1;(2)x2﹣4x+y2+2y+5=0,(x﹣2)2+(y+1)2=0,则x﹣2=0,y+1=0,解得x=2,y=﹣1,则x+y=2﹣1=1;(3)x2﹣1﹣(2x﹣3)=x2﹣2x+2=(x﹣1)2+1,∵(x﹣1)2≥0,∴(x﹣1)2+1>0,∴x2﹣1>2x﹣3.故答案为:﹣2,1.27.(12分)某电器商场销售A、B两种型号计算器,两种计算器的进货价格分别为每台30元,40元,商场销售5台A型号和1台B型号计算器,可获利润76元;销售6台A型号和3台B型号计算器,可获利润120元.(1)求商场销售A、B两种型号计算器的销售价格分别是多少元?(利润=销售价格﹣进货价格)(2)商场准备用不多于2500元的资金购进A、B两种型号计算器共70台,问最少需要购进A型号的计算器多少台?【解答】解:(1)设A种型号计算器的销售价格是x元,B种型号计算器的销售价格是y元,由题意得:,解得:;答:A种型号计算器的销售价格是42元,B种型号计算器的销售价格是56元;(2)设购进A型计算器a台,则购进B型计算器:(70﹣a)台,则30a+40(70﹣a)≤2500,解得:a≥30,答:最少需要购进A型号的计算器30台.28.(12分)如图(1),四边形ABCD中,AD∥BC,点E是线段CD上一点,(1)说明:∠AEB=∠DAE+∠CBE;(2)如图(2),当AE平分∠DAC,∠ABC=∠BAC.①说明:∠ABE+∠AEB=90°;②如图(3)若∠ACD的平分线与BA的延长线交于点F,且∠F=60°,求∠BCD.【解答】解:(1)过E作EF∥AD,∵AD∥BC,∴EF∥BC,∴∠DAE=∠AEF,∠CBE=∠BEF,∴∠AEB=∠DAE+∠CBE;(2)①证明:∵AD∥BC,∴∠DAC=∠ACB.∵AE平分∠DAC,∴∠EAC=∠DAC=∠ACB,∵∠ABC=∠BAC,∠ABC+∠BAC+∠ACB=180°,∴∠BAC+∠EAC=90°,∴∠ABE+∠AEB=90°;②解:如图(3),由①知∠BAE=90°,∴∠FAE=90°.∵∠F=60°,∴∠AGC=90°+60°=150°.∴∠GAC+∠ACG=30°.∵AE平分∠DAC,CF平分∠ACD,∴∠DAC+∠ACD=2(∠GAC+∠ACG)=60°,∴∠D=180°﹣60°=120°.∵AD∥BC,∴∠BCD=180°﹣∠D=180°﹣120°=60°.赠送:初中数学几何模型举例【模型四】几何最值模型:图形特征:BAPl运用举例:1. △ABC中,AB=6,AC=8,BC=10,P为边BC上一动点,PE⊥AB于E,PF⊥AC于F,M为AP的中点,则MF的最小值为EM FB2.如图,在边长为6的菱形ABCD中,∠BAD=60°,E为AB的中点,F为AC上一动点,则EF+BF的最小值为_________。
扬州市江都区2014-2015学年七年级(下)期中考试数学试题及答案
七年级数学期中试卷2015.4一、选择题(每题3分,共24分) 1.下列计算正确的( ▲ )A .a +a 2=2a 3B .a 2•a 3=a 6C .(2a 4)4=16a 8D .(-a )6÷a 3=a 32.在下列长度的四根木棒中,能与4cm 、10cm 长的两根木棒钉成一个三角形的是( ▲ )A .4cmB .5cmC .9cmD .14cm3.世界上最小的开花结果植物是澳大利亚的出水浮萍,这种植物的果实像一个微小的无花果,质量只有0.00 000 0076克,用科学记数法表示是 A .7.6×108克 B .7.6×10-7克 C .7.6×10-9克 D .7.6×10-8克4.如果0125(0.1),(0.1),()3a b c --=-=-=-,那么a ,b ,c 的大小关系为( ▲ )A .a >b >cB .c >a >bC .c >b >aD .a >c >b5.下列各式从左到右的变形,是因式分解的是:( ▲ )A. x x x x x 6)3)(3(692+-+=+-B. ()()103252-+=-+x x x xC. ()224168-=+-x x x D. 623ab a b =⋅6.在以下现象中,属于平移的是( ▲ )(1)在荡秋千的小朋友; (2)打气筒打气时,活塞的运动; (3)自行车在行进中车轮的运动; (4)传送带上,瓶装饮料的移动. A. (1) (2) B. (2) (4) C. (2) (3) D (1) (3) 7.若一个多边形的每个内角都为135°,则它的边数为:( ▲ ) A .8 B .9 C .10D .128.如图,△ABC 的面积为1.第一次操作:分别延长AB,BC,CA 至点A 1,B 1,C 1,使A 1B=AB,B 1C=BC,C 1A=CA,顺次连接A 1,B 1,C 1,得到△A 1B 1C 1.第二次操作:分别延长A 1B 1,B 1C 1,C 1A 1至点A 2,B 2,C 2,使A 2B 1=A 1B 1,B 2C 1=B 1C 1,C 2A 1=C 1A 1,顺次连接A 2,B 2,C 2,得到△A 2B 2C 2,…按此规律,要使得到的三角形的面积超过2015,最少经过 次操作( ▲ ) A .3 B .4 C .5 D .6二、填空题(每空3分,共36分) 9.计算:x 2•x 5=____▲______10.已知△ABC 的三个内角分别是∠A 、∠B 、∠C ,若∠A =60°,∠C =2∠B ,则∠C = ▲11.已知24,m n m n a a a +===2,则 ▲ ,2m n a -= ▲ . 12. 多项式233342-39-6x y z x y z x yz +的公因式是 ▲ . 13.已知方程5212423=--+nm y x是二元一次方程, 则m =_▲__;n =_▲___. 14.如图所示,AB ∥CD ,∠ABE =66°,∠D =54°,则∠E 的度数为 ▲ 度. 15. 在349x y +=中,如果26y =,那么x = ▲ .16.如图,小亮从A 点出发前进10m ,向右转15°,再前进10m ,又向右转15°,…,这样一直走下去,他第一次回到出发点A 时,一共走了 ▲ m . 17.已知:()125=++x x ,则x =__▲____。
江苏省扬州市江都区宜陵镇中学七年级数学下学期第九周周练试题(无答案) 苏科版
宜陵镇中学七年级英语周周练(9)班级________ 姓名__________一、单项选择1. --- Do you know _______ girl at the gate of the school?--- Yes. She is_______classmate of mine.A. a; aB. the; theC. the; aD. a; the2. There is a small bridge _______ the river.A. inB. onC. overD. above3. --- Excuse me, how can I get to the post office?--- Go_______the street and turn left. Walk_______the museum, and you’ll see it.A. along; toB. across; pastC. past; toD. cross; past4. ---Would you like to come for dinner this Sunday evening?--- _______, but I’ve got a lot of things to do.A. Sorry, I wouldn’tB. Yes, I’d likeC. No, I wouldn’tD. Yes, I’d love to5. --- _______your hometown like?--- It’s a g ood place_______.A. How’s; to liveB. How does; livingC. What’s; to liveD. What does; living6. --- The camera in your hand is nice, is it_______?---Yes, but I will give it to my friend Lily as_______birthday present.A. you; herB. your; hersC. yours; herD. you; his7. ---_______is it from your home to your factory?--- It takes about twenty minutes by bike.A. How longB. How farC. How manyD. How much8. There is_______wrong with my watch, can you find_______to help me?A. something; anyoneB. anything; someoneC. something; someoneD. anything; anyone9. --- Hello,_______?--- This is Lucy. May I speak to Andy?A. who’re youB. who’s that callingC. are you LucyD. who is this speaking10. Mr. Green goes to work_______ his car, but his wife_______a bus to her office.A.by; takeB. drives; byC. in; takesD. takes; on二、完形填空There are seven days in a week. Some days are people's favourite, but some are not. In the United States, Monday is the beginning of the weekday. It is the day most Americans like least. And it is certain that the day they like___1___is Saturday. Because Saturday is the___2___of the weekday and it is the beginning of the weekend. Life is___3___at weekends. Most Americans clean their houses, cars or gardens. They___4___he feeling that time seems(好像)to move more slowly. The weekday is for things you have to do, but the weekend is for things you are___5___to do, so you feel that you can enjoy yourselves at weekends. Some people may get in a car and go for a__6___in the country. They like to take part in outdoor activities. They__7___go to a public eating or a film on Saturday night. However, the__8___of weekends is a recent(近期的)invention. In the early years of the 1900s, rich people began to speak of___9___weekends in the countryor visiting friends. For most people, the workday was six days__10___at that time. They had to work six days a week.1. A. least B. most C. more D. less2. A. end B. beginning C. middle D. starting3. A. terrible B. hard C. different D. busy4. A. hate B. forget C. remember D. enjoy5. A. glad B. able C. suitable D. free6. A. walk B. dance C. drive D. run7. A. must B. should C. need D. might8. A. day B. idea C. activity D. dream9 A. organizing B. planning C. spending D. taking10. A. long B. short C. early D. late三、阅读理解ACoke is the most popular drink and many peopl e enjoy it. But they don’t know it has many other uses.◆ Cleaning. You can use it to clean your hands,your bathroom or your clothes. When you do some washing and y ou can put some Coke into the water. And Coke can make them cleaner.◆ Cooking. Put Coke on beef or pork while it’s cooking. And we can cook chicken with Coke, it’s very nice.◆ Health &beauty. Coke can make you more beautiful. Use it on your hair or your skin(皮肤)to make them brighter and smoother.◆ Housework help. Watering flowers with Coke can make them more lovely and beautiful.So give Coke a try next time.1. How many other uses of Coke are there in the passage?A. 3.B. 4.C. 5.D. 6.2. What can we use Coke to clean?A. Bathroom.B. Beef.C. Pork.D. Flowers.3. What will the flowers be like after watering them with Coke?A. Cleaner.B. Smoother.C. Brighter.D. More beautiful.BDear Mom,I don't think you understand my life. You think I should be studying all the time. I know you want me to find a good job when I grow up, but I would like to have a good time, too. You never think about fun things for me to do, like music and sports. Two days ago, when I was watching a football game on TV, you asked me to stop and do my homework. After finishing my homework, still I wasn't allowed (允许) to read my football magazines. You said I had to go to bed early. That was bad enough, but yesterday was the worst day. I bought some music CDs, and put them in my bag so that you wouldn't see them. I told you I had to do my homework first. I know it was wrong to lie (说谎) to you, but you tol d me that Dad would talk to me later. Mom, I didn't quite like what you did to me! I really love you, Mom, but I hop e you won't be s o hard on me.Love, David4. David's mother wants him_______when he grows up.A. to be a teacherB. to find a good jobC. to work in a big cityD. to become a football player5. David's mother asked him_______.A. to watch TVB. to play sportsC. to play computer gamesD. to study all the time6. From the letter we know_______.A. David lives a very happy lifeB. David hates his motherC. David wishes to study all the timeD. David's mom is very hard on himCA well-dressed man goes into Burger&Lobster one day. He sits down at a table near the window.A waiter comes up to him and says, “Can I help you, Sir?”The man says , “Can I see the menu?” “Sure.” The man wants a lot of nice dishes. The waiter gets them for him. At the end of his dishes, a boy comes in and sits down next to the man. He asks the man to give him an ice cream. The man says, “I go out for a newspaper.” Then he goes out. After the boy eats his ice cream up, he stands up and goes to the door, “ Excuse me, your father doesn’t give the money.” The waiter stops him and says.“Father? You are wrong. He isn’t my father. I don’t know him. I meet him in the street. He says he will give me an ice cream if I come here at 12 o’clock.”7. Burger&Lobster may be a_______.A. schoolB. newsstand (报亭)C. restaurantD. hotel8. The man asks the waiter to bring him_______A. a lot of ice creamB. only breadC. a lot of nice dishesD. a newspaper9.The man asks_______for the boy.A. some breadB. an ice creamC. some dishesD. some chicken10. Who’s cheated (被骗) in the story?A. The well-dressed manB. The boyC. The waiterD. The boy’s father四、词汇运用1. I ho pe to be an_______(工程师) in the future.2.Thank you for _______(邀请) me to your birthday party.3. Hurry up, or we’ll _______(错过) the beginning of the show.4. _______(穿过)the bridge, and then turn left. It’s on your right.5. She often_______(分享) her things with us and we all like her.6. Today is my brother’s_______(nine) birthday and We all have a good time.7. Mum, what are you_______(prepare) for us in the kitchen?8. How_______(danger) it is to drive after drinking.9. May Day is coming, and the station will be full of_______(visit) from many places.10. We’d better eat less_______(west) fast food ,such as KFC, for it has too high calorie.五、缺词填空My hometown is a beautiful city-Yangzhou. It’s a small city in Jiangsu Province.Yangzhou is a city of w______! There are many rivers here and you can see many b______over them. As we know, Yangzhou is a good place to travel. You can e_____some famous gardens, like Ge Garden and He Garden. After that, you can have a big m______. There’re many restaurants here. They are from d______areas and countries. If you want to eat noodles and pastry, you can go to one place c______“WeiYang Teahouse”.Next, you must go to Yangzhou Library to have a look. It’s on Wenchang Road. It’s very large and q______. I think it’s a good place to read books.Yangzhou is a______a modern city. It’s only 20 minutes from the city centre to Yangzhou Industrial Park (工业园) by bus. There’re lots of tall b______and large factories. Most of the people in the industrial park are from foreign countries. But all of them can s______Chinese well, even some Yangzhou dialects (方言).This is Yangzhou, an old city, an old garden, a new city, a new wonderful park.六、句子翻译1. 有这些好心且乐于助人的邻居帮助你,你可真幸运。
江苏省扬州市江都区宜陵镇七年级数学下学期周周练十二(无答案)苏科版
江苏省扬州市江都区宜陵镇2016-2017学年七年级数学下学期周周练1,若a<b,则下列各式中一定成立的是()A.a﹣1<b﹣1 B.>C.﹣a<﹣b D.ac<bc,2B.不等式x﹣2≤0的解集在数轴上表示正确的是()A.B.C.D.3不等式3x﹣9>0的解集是.4不等式14﹣2x>6的最大整数解为______.5关于x的不等式x﹣b>0恰有两个负整数解,则b的取值范围是()A.﹣3<b<﹣2 B.﹣3<b≤﹣2 C.﹣3≤b≤﹣2 D.﹣3≤b<﹣26若关于x、y的二元一次方程组的解满足x﹣y>﹣3,求出满足条件的m的所有非负整数解.7已知与都是方程y=kx+b的解.(1)求k,b的值;(2)若y的值不小于0,求x的取值范围;8甲、乙两队进行篮球比赛,规则规定:胜一场得3分,平一场的1分,负一场的0分.若两队共赛10场,甲队保持不败,且得分不低于24分,则甲队至少胜了_____场.提高(1)猜想:试猜想a2+b2与2ab的大小关系,并说明理由;(2)应用:已知x﹣,求x2+的值;(3)拓展:代数式x2+是否存在最大值或最小值,不存在,请说明理由;若存在,请求出最小值.例题为了更好地保护环境,治理水质,我区某治污公司决定购买12台污水处理设备,现有A、B两种型号设备,A型每台m万元; B型每台n万元,经调查买一台A型设备比买一台B型设备多3万元,购买2台A型设备比购买3台B型设备少5万元.(1)求m、n的值.(2)经预算,该治污公司购买污水处理器的资金不超过158万元.该公司A型设备最多能买台?练习1用二元一次方程组解决问题:已知甲、乙两人今年的年龄之和为63,数年前,甲的年龄是乙的年龄的一半,乙恰是甲现在的年龄,求甲、乙两人今年的年龄.2学校组织七年级部分学生和老师到南京银杏乐园开展社会实践活动,租用的客车有50座和30座两种可供选择.学校根据参加活动的师生人数计算可知:若只租用30座客车x辆,还差5人才能坐满;(1)则该校参加此次活动的师生人数为(用含x的代数式表示);(2)若只租用50座客车,比只租用30座客车少用2辆,求参加此次活动的师生至少有多少人?(3)已知租用一辆30座客车往返费用为400元,租用一辆50座客车往返费用为600元,学校根据师生人数选择了费用最低的租车方案,总费用为2200元,试求参加此次活动的师生人数.前知巩固1如图,直线l1∥l2∥l3,等边△ABC的顶点B、C分别在直线l2、l3上,若边BC与直线l3的夹角∠1=25°,则边AB与直线l1的夹角∠2=()A.25° B.30° C.35° D.45°2已知是方程组的解,则a+2b的值为()A.4 B.5 C.6 D.73如图,两个正方形边长分别为a、b,如果a+b=ab=6,则阴影部分的面积为()A.6 B.9 C.12 D.184水仙花是漳州市花,如图,在长为14m,宽为10m的长方形展厅,划出三个形状、大小完全一样的小长方形摆放水仙花,则每个小长方形的周长为m.5如图,在边长为a的正方形中,剪去一个边长为b的小正方形(a>b),将余下部分拼成一个梯形,根据两个图形阴影部分面积的关系,可以得到一个关于a、b的等式为.6以下四个结论:①一个多边形的内角和为900°,从这个多边形同一个顶点可画的对角线有4条;②三角形的一个外角等于两个内角的和;③任意一个三角形的三条高所在直线的交点一定在三角形的内部;④△ABC中,若∠A=2∠B=3∠C,则△ABC为直角三角形.其中正确的是(填序号)7计算:(1)(π﹣3)0+(﹣)﹣2+32016×()1008 (2)(x﹣2)2﹣(x+2)(x﹣2)8因式分解:(1)3x2y﹣18xy2+27y3 (2)x2(x﹣2)+(2﹣x)9已知3×9m×27m=317+m,求:(﹣m2)3÷(m3﹣m2)的值.10已知,如图,在△ABC中,AE是角平分线,D是AB上的点,AE、CD相交于点F.(1)若∠ACB=∠CDB=90°,求证:∠CFE=∠CEF;(2)若∠ACB=∠CDB=m(0°<m<180°).①求∠CEF﹣∠CFE的值(用含m的代数式表示);②是否存在m,使∠CEF小于∠CFE,如果存在,求出m的范围,如果不存在,请说明理由.。
江苏省扬州市江都区宜陵镇中学七年级语文下学期第九周
八年级数学周周练(9) 1.如下左图,长方形ABCD 中,M 为CD 中点,今以B 、M 为圆心,分别以BC 长、MC 长为半径画弧,两弧相交于P 点.若∠PBC=70°,则∠MPC=( )度A.20B.35C.45D.552.装有一些液体的长方体玻璃容器,水平放置在桌面上时,液体的深度为6,其正面如图1所示,将容器倾斜,其正面如图2所示.已知液体部分正面的面积保持不变,当1AA =4时,1BB =( )A.8B.10C.6D.43.下左图将n 个边长都为2cm 的正方形按如图所示的方法摆放,点A 1,A 2,……,A n 分别是正方形的中心,则2014个这样的正方形重叠部分(阴影部分)的面积和为 2cm4.如山中图,正方形ABCD 的顶点A 、B 分别在x 轴、y 轴的正半轴上,反比例函数y= (k >0)的图象经过另外两个顶点C 、D ,且点D (4,n )(0<n <4),则k 的值为( )5.一组按规律排列的式子:,...7,5,3,18642a a a a 则第n 个式子是 . 6.如右图,反比例函数(x >0)的图象经过矩形OABC 对角线的交点M ,分别于AB 、BC 交于点D 、E ,若四边形ODBE 的面积为9,则k 的值为7.如下图,P 是矩形ABCD 内的任意一点,连接PA 、PB 、PC 、PD ,得到△PAB 、△PBC 、△PCD 、△PDA ,设它们的面积分别是S 1、S 2、S 3、S 4,给出如下结论:①S 1+S 2=S 3+S 4;②S 2+S 4=S 1+S 3;③若S 3=2S 1,则S 4=2S 2;④若S 1=S 2,则P 点在矩形的对角线上. 其中正确的结论的序号是 (把所有正确结论的序号都填在横线上).8.如图,在x 轴的正半轴上依次截取112233445OA A A A A A A A A ====,过点12345A A A A A 、、、、分别作x 轴的垂线与反比例函数()20y x x=≠的图象相交于点12345P P P P P 、、、、,得直角三角形1112233344455OP A A P A A P A A P A A P A 2、、、、,并设其面积分别为12345S S S S S 、、、、,则5S 的值为 ..9.已知点A 是双曲线3y x=在第一象限上的一动点,连接AO 并延长交另一分支于点B ,以AB 为斜边作等腰直角三角形ABC ,点C 在第四象限,随着点A 的运动,点C 的位置也不断的变化,但始终在一函数图象上运动,则这个函数的解析式为 ___ __ .10.如上右,图已知,M 是△ABC 的边BC 的中点,AN 平分∠BAC ,BN ⊥AN 于点N ,连结MN,如果 AB=10,BC=15,MN=3,那么△ABC 的周长是__________.11.先化简,再求值:221,a a b a a b a b a b ⎛⎫⎛⎫--÷ ⎪ ⎪+-+⎝⎭⎝⎭其中a=-2,b=-1.12.当a 为何值时,)1)(2(21221+-+=+----x x a x x x x x 的解是负数?y xO P 1P 2 P 3 P 4 P 5A 1 A 2 A 3 A 4 A 5y x=13.某学校为了进一步丰富学生的体育活动,加大“阳光体育”进校园的力度,欲增购一些体育器材,为此对该校一部分学生进行了一次“你最喜欢的体育活动”的问卷调查(每人只选一项).根据收集到的数据,绘制成如下统计图(不完整):14.如图,△ACD、△ABE、△BCF均为△ABC的边BC所在直线同侧的等边三角形.(1)求证:四边形ADFE为平行四边形;(本题共12分)(2)试探究顺次连接A、D、F、E四点还可构成其它什么图形?根据构成图形的类型直接写出△ABC应满足相应的条件.①当_____________________________时,A、D、F、E四点构成菱形.②当_____________________________时,A、D、F、E四点构成正方形.③当_____________________________时,A、D、F、E四点构成一条线段.15.如图,四边形ABCD为正方形.点A的坐标为(0,2),点B的坐标为(0,-3),反比例函数y=的图象经过点C,一次函数y=ax+b的图象经过点C,一次函数y=ax+b的图象经过点A,(1)求反比例函数与一次函数的解析式;(2)求点P是反比例函数图象上的一点,△OAP的面积恰好等于正方形ABCD的面积,求P点的坐标.16.如图,已知直线y=21x 与双曲线y=xk (k >0)交于A,B 两点,且点A 的横坐标为4. (1)求k 的值; (2)若双曲线y=xk (k >0)上一点的纵坐标为8,求的面积; (3)过原点O 的另一条直线交双曲线y=x k (k >0)于P,Q 两点(P 点在第一象限),若由点A,B,P,Q 为顶点组成的四边形面积为,求点的坐标.17.如图1,在菱形ABCD 和菱形BEFG 中,点A 、B 、E 在同一条直线上,P 是线段DF 的中点,连接PG ,PC .若∠ABC=∠BEF=60°.(1)请直接写出线段PG 与PC 的位置关系.(2)若将图1中的菱形BEFG 饶点B 顺时针旋转,使菱形BEFG 的对角线BF 恰好与菱形ABCD 的边AB 在同一条直线上,原问题中的其他条件不变,如图2.那么你在(1)中得到的结论是否发生变化?写出你的猜想并加以证明(。
(北师大版)江苏省江都市宜陵镇七年级数学下册期中试卷及答案-精品
(北师大版)江苏省江都市宜陵镇七年级数学下册期中试卷及答案(考试时间120分钟满分150分)一、精心选一选(本项共8题,每题3分,计24分)1.两直线被第三条直线所截,则A .同位角相等 B. 内错角相等 C.同旁内角互补 D.以上都不对2.下列运算正确的是()A.(a 3)2=a6B.a 8÷a2=a4C.a 3?a 2=a6D.a+2a 2=3a23. H7N9禽流感病毒的直径大约是0.000000081米,用科学记数法可表示为()A. 8.1×10-9米B. 8.1×10-8米 C. 81×10-9米 D. 0.81×10-7米4. 如图,点E 在BC 的延长线上,下列条件中能判断AB ∥CD ()A. ∠3=∠4B.∠D=∠DCEC.∠D+∠ACD=180°D.∠1=∠25. 下列各图中,正确画出AC 边上的高的是()A.B. C. D.6. 单项式A 与-3x 2y 的乘积是6x 6y 2,则单项式A 是()A. 2x 3y B. -2x 3y C. -2x 4y D. 2x4y7. 满足下列条件的△ABC 中,不是直角三角形的是()A .∠A +∠B=∠CB .∠A=2∠B=3∠CC .∠A :∠B :∠C=2:3:1 D. 一个外角等于和它相邻的内角8. 如图:请你根图中标的数据,计算大长方形的面积.通过面积不同的计算方法,你发现的结论是( )A. 22b 2ab 3a)b 2a )(b a (B. 22b ab 4a 3)b a )(b a 3(C. 2232))(2(babab a b a D. 22253))(23(bab ab ab a 二、细心填一填(本项共10题,每题3分,计30分)9. 若a m =2,a n =4,则a m-n=________.10.一副三角板放置如下图,则图中∠ABC= _________°.11. 已知等腰三角形的两边长分别为4和8,则这个等腰三角形的周长为________. 12. 若2x+5y-3=0,则4x?32y=___________.13. 若(x+3)(x+n )= x 2-mx-15,则n m =___________.14. 若a=8131,b=2741,c=961,请用“<”表示出a,b,c 的大小关系:_________________.15. 如图所示,则∠A+∠B+∠C+∠D+∠E+∠F=________ °.bbabaaaAB(第15题)(第16题)16. 如图,小华在操场上从A 点出发,沿直线前进8米后向左转45°,再沿直线前进8米后,又向左转45°,照这样走下去,他第一次回到出发地A 点时,一共走了_____米.17. 用一张包装纸包一本长、宽、厚如图所示的书(单位:cm ),如果将封面和封底每一边都包进去3cm ,则需长方形的包装纸____________cm 2.(第17题)(第18题)18. 如图,在△ABC 中E 是BC 上的一点,EC=2BE ,点D 是AC 的中点,设△ABC ,△ADF ,△BEF的面积分别为S △ABC ,S △ADF ,S △BEF ,且S △ABC =12,则S △ADF -S △BEF= ___________.三、耐心解一解(本大题共9题,满分96分)19. (本项共4题,每题4分,计16分,)计算:(1)2321()(2)2(3)2(2)32237)()()(b b bb (3)(3x 2y-2x+1)(-2xy ) (4) (x-3y)(y+3x)-(x-3y)(3y-x)20.(8分)为迎接2014年8月16号在南京举行的青奥会,扬州体育迷小强利用网格设计了一个“火炬”图案,请你帮帮他:(1)将“火炬”图案先向右平移7格,再向上平移6格,画出平移后的图案;(2)如果图中每个小正方形的边长是1,则其中一个火炬图案的面积为________;(3)找出点A 、B 的对应点A ˊ、B ˊ,AA ˊ与BB ˊ的关系是____________. 21. (8分) 如图,直线AD 与AB 、CD 相交于A 、D 两点,EC 、BF 与AB 、CD 相交于E 、C 、B 、F ,如果∠1=∠2,∠B=∠C .说明∠A=∠D .22. (8分)已知多项式M=25xx a ,N=2x ,P=32x x,且M·N+P的值与x的35取值无关,求字母a的值。
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宜陵镇中学七年级英语周周练(9)班级________ 姓名__________一、单项选择1. --- Do you know _______ girl at the gate of the school?--- Yes. She is_______classmate of mine.A. a; aB. the; theC. the; aD. a; the2. There is a small bridge _______ the river.A. inB. onC. overD. above3. --- Excuse me, how can I get to the post office?--- Go_______the street and turn left. Walk_______the museum, and you’ll see it.A. along; toB. across; pastC. past; toD. cross; past4. ---Would you like to come for dinner this Sunday evening?--- _______, but I’ve got a lot of things to do.A. Sorry, I wouldn’tB. Yes, I’d likeC. No, I wouldn’tD. Yes, I’d love to5. --- _______your hometown like?--- It’s a g ood place_______.A. How’s; to liveB. How does; livingC. What’s; to liveD. What does; living6. --- The camera in your hand is nice, is it_______?---Yes, but I will give it to my friend Lily as_______birthday present.A. you; herB. your; hersC. yours; herD. you; his7. ---_______is it from your home to your factory?--- It takes about twenty minutes by bike.A. How longB. How farC. How manyD. How much8. There is_______wrong with my watch, can you find_______to help me?A. something; anyoneB. anything; someoneC. something; someoneD. anything; anyone9. --- Hello,_______?--- This is Lucy. May I speak to Andy?A. who’re youB. who’s that callingC. are you LucyD. who is this speaking10. Mr. Green goes to work_______ his car, but his wife_______a bus to her office.A.by; takeB. drives; byC. in; takesD. takes; on二、完形填空There are seven days in a week. Some days are people's favourite, but some are not. In the United States, Monday is the beginning of the weekday. It is the day most Americans like least. And it is certain that the day they like___1___is Saturday. Because Saturday is the___2___of the weekday and it is the beginning of the weekend. Life is___3___at weekends. Most Americans clean their houses, cars or gardens. They___4___he feeling that time seems(好像)to move more slowly. The weekday is for things you have to do, but the weekend is for things you are___5___to do, so you feel that you can enjoy yourselves at weekends. Some people may get in a car and go for a__6___in the country. They like to take part in outdoor activities. They__7___go to a public eating or a film on Saturday night. However, the__8___of weekends is a recent(近期的)invention. In the early years of the 1900s, rich people began to speak of___9___weekends in the countryor visiting friends. For most people, the workday was six days__10___at that time. They had to work six days a week.1. A. least B. most C. more D. less2. A. end B. beginning C. middle D. starting3. A. terrible B. hard C. different D. busy4. A. hate B. forget C. remember D. enjoy5. A. glad B. able C. suitable D. free6. A. walk B. dance C. drive D. run7. A. must B. should C. need D. might8. A. day B. idea C. activity D. dream9 A. organizing B. planning C. spending D. taking10. A. long B. short C. early D. late三、阅读理解ACoke is the most popular drink and many people enjoy it. But they don’t know it has many other uses.◆ Cleaning. You can use it to clean your hands,your bathroom or your clothes. When you do some washing and y ou can put some Coke into the water. And Coke can make them cleaner.◆ Cooking. Put Coke on beef or pork while it’s cooking. And we can cook chicken with Coke, it’s very nice.◆ Health &beauty. Coke can make you more beautiful. Use it on your hair or your skin(皮肤)to make them brighter and smoother.◆ Housework help. Watering flowers with Coke can make them more lovely and beautiful.So give Coke a try next time.1. How many other uses of Coke are there in the passage?A. 3.B. 4.C. 5.D. 6.2. What can we use Coke to clean?A. Bathroom.B. Beef.C. Pork.D. Flowers.3. What will the flowers be like after watering them with Coke?A. Cleaner.B. Smoother.C. Brighter.D. More beautiful.BDear Mom,I don't think you understand my life. You think I should be studying all the time. I know you want me to find a good job when I grow up, but I would like to have a good time, too. You never think about fun things for me to do, like music and sports. Two days ago, when I was watching a football game on TV, you asked me to stop and do my homework. After finishing my homework, still I wasn't allowed (允许) to read my football magazines. You said I had to go to bed early. That was bad enough, but yesterday was the worst day. I bought some music CDs, and put them in my bag so that you wouldn't see them. I told you I had to do my homework first. I know it was wrong to lie (说谎) to you, but you tol d me that Dad would talk to me later. Mom, I didn't quite like what you did to me! I really love you, Mom, but I hop e you won't be s o hard on me.Love, David4. David's mother wants him_______when he grows up.A. to be a teacherB. to find a good jobC. to work in a big cityD. to become a football player5. David's mother asked him_______.A. to watch TVB. to play sportsC. to play computer gamesD. to study all the time6. From the letter we know_______.A. David lives a very happy lifeB. David hates his motherC. David wishes to study all the timeD. David's mom is very hard on himCA well-dressed man goes into Burger&Lobster one day. He sits down at a table near the window.A waiter comes up to him and says, “Can I help you, Sir?”The man says , “Can I see the menu?” “Sure.” The man wants a lot of nice dishes. The waiter gets them for him. At the end of his dishes, a boy comes in and sits down next to the man. He asks the man to give him an ice cream. The man says, “I go out for a newspaper.” Then he goes out. After the boy eats his ice cream up, he stands up and goes to the door, “ Excuse me, your father doesn’t give the money.” The waiter stops him and says.“Father? You are wrong. He isn’t my father. I don’t know him. I meet him in the street. He says he will give me an ice cream if I come here at 12 o’clock.”7. Burger&Lobster may be a_______.A. schoolB. newsstand (报亭)C. restaurantD. hotel8. The man asks the waiter to bring him_______A. a lot of ice creamB. only breadC. a lot of nice dishesD. a newspaper9.The man asks_______for the boy.A. some breadB. an ice creamC. some dishesD. some chicken10. Who’s cheated (被骗) in the story?A. The well-dressed manB. The boyC. The waiterD. The boy’s father四、词汇运用1. I ho pe to be an_______(工程师) in the future.2.Thank you for _______(邀请) me to your birthday party.3. Hurry up, or we’ll _______(错过) the beginning of the show.4. _______(穿过)the bridge, and then turn left. It’s on your right.5. She often_______(分享) her things with us and we all like her.6. Today is my brother’s_______(nine) birthday and We all have a good time.7. Mum, what are you_______(prepare) for us in the kitchen?8. How_______(danger) it is to drive after drinking.9. May Day is coming, and the station will be full of_______(visit) from many places.10. We’d better eat less_______(west) fast food ,such as KFC, for it has too high calorie.五、缺词填空My hometown is a beautiful city-Yangzhou. It’s a small city in Jiangsu Province.Yangzhou is a city of w______! There are many rivers here and you can see many b______over them. As we know, Yangzhou is a good place to travel. You can e_____some famous gardens, like Ge Garden and He Garden. After that, you can have a big m______. There’re many restaurants here. They are from d______areas and countries. If you want to eat noodles and pastry, you can go to one place c______“WeiYang Teahouse”.Next, you must go to Yangzhou Library to have a look. It’s on Wenchang Road. It’s very large and q______. I think it’s a good place to read books.Yangzhou is a______a modern city. It’s only 20 minutes from the city centre to Yangzhou Industrial Park (工业园) by bus. There’re lots of tall b______and large factories. Most of the people in the industrial park are from foreign countries. But all of them can s______Chinese well, even some Yangzhou dialects (方言).This is Yangzhou, an old city, an old garden, a new city, a new wonderful park.六、句子翻译1. 有这些好心且乐于助人的邻居帮助你,你可真幸运。