厦门市九年级期末质检试卷
福建省厦门市2024_2025学年九年级语文上学期期末质量检测试题新人教版
福建省厦门市2024-2025学年上学期九年级期末质量检测语文试题(试卷满分：150分考试时间：120分钟)考生留意：1．全卷分三个部分，共23题；2．答案一律写在答题卡上，否则不能得分。
一积累与运用(20分)（一）语言积累（12分）1．请依据提示填写相应的古诗文。
（12分）（1）关关雎鸠，。
（《诗经·关雎》）（1分）（2），天际若比邻。
（王勃《送杜少府之任蜀州》）（1分）（3）闲来垂钓碧溪上，。
（李白《行路难（其一）》）（1分）（4）安得广厦千万间，。
（杜甫《茅屋为秋风所破歌》）（1分）（5）满面尘灰烟火色，。
（白居易《卖炭翁》）（1分）（6），蜡炬成灰泪始干。
（李商隐《无题》）（1分）（7），月有阴晴圆缺，此事古难全。
（苏轼《水调歌头》）（1分）（8）北冥有鱼，。
（庄子《北冥有鱼》）（1分）（9），教然后知困。
（《虽有嘉肴》）（1分）（10）山水之乐，。
（欧阳修《醉翁亭记》）（1分）（11）《酬乐天扬州初逢席上见赠》中运用典故写出人事变迁之怅惘的句子是：“，”。
（2分）（二）语言运用（8分）2. 下列文学常识说法正确．．的一项是（）（2分）A．范仲淹是北宋政治家、文学家，其作品《岳阳楼记》朗朗上口，千古传颂。
B．雨果是德国大文豪，代表作有《巴黎圣母院》《凄惨世界》《九三年》《醇厚人》。
C. 苏轼词风婉约，他使词摆脱了对音乐的依附，拓宽了词的题材、意境、手法。
D．《儒林外史》《三国演义》均为我国明清时期闻名的章回体长篇历史演义小说。
3.阅读下面的文字，按要求作答。
（6分）阅读让你的世界草长莺飞，繁花似锦；让你身居斗室，漫游广①mào（）宇宙。
通过阅读，使你的心灵犹如秋雨中的池塘，渐渐丰盈。
阅读更是写作灵感之泉不涸的秘谛。
一个人（甲）（A．纵然 B．虽然）有支生花妙笔，（乙）（A．尽管 B．倘如）没有经过阅读的浸润②zī（）养，也唯恐会有江郎才尽之时。
（1）文中①②处依据拼音写汉字。
福建省厦门市五缘第二实验学校2024届英语九年级第一学期期末教学质量检测模拟试题含解析
福建省厦门市五缘第二实验学校2024届英语九年级第一学期期末教学质量检测模拟试题请考生注意：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。
Ⅰ. 单项选择1、―Don’t eat too much snacks. It’s bad for health. ―_______.A．Sorry, I won’t.B．Sure, I will C．Never mind D．OK. I don’t.2、— I always get nervous when I start a(n) _______ with others.—Take it easy. Believe in yourself.A．expression B．introductionC．communication D．celebration3、---Soldier, I don't care _____. In this army, there's only one hairstyle—short! Understand?---Yes, sir!A．what you are used to liking B．what are you used to likingC．what did you use to be like D．what you used to be like4、After a few hours’ practice, I felt a bit tired. ______, I held on for success.A．Otherwise B．Also C．However D．Therefore5、—Mum, I think I'm ________to get back to school.—Not really, my dear. You'd better stay at home for another day.A．so well B．so goodC．well enough D．good enough6、— He finished off two bowls of noodles in no time.—Because he was so hungry.A．carefully B．slowly C．quickly7、Taiji is my favorite and I often play it ______ healthy.A．to keep B．keepsC．keeping D．kept8、— Y ou should let your children take more after-school classes.—_____, you are right. But they should also have more time to relax.A．To my surprise B．To a certain degree C．What’s more9、My grandparents live in an old apartment with floors and they are on the floor.A．fifth; three B．fifth; third C．five; three D．five;: third10、Lucy, why didn’t you come to the party yesterday?I ______ my little sister at home.A．looked after B．look afterC．will look after D．have looked afterⅡ. 完形填空11、Rebecca is a wildlife camerawoman from the UK. She was filming a documentary (纪录片) for the BBC in the Pacific Ocean when she saw something that made her 1 : hundreds of dead birds. They died because they accidentally ate some of the 2 that is thrown into the sea each year. The beaches on the Pacific islands should have been some of the most 3 places in the world. But they were covered with plastic bottles, pens--every plastic thing you can think of. Because of this, the 4 were becoming dirtier and dirtier.Plastic bags were used everywhere in Britain. Britain used nearly 17 billion plastic bags each year. And the 5 can take hundreds of years to break down. Each year, the sea and the environment became more and more 6 .Rebecca decided she had to do something. In her hometown Modbury, she asked local shopkeepers if they could do something to help. She asked them to 7 using plastic bags in their shops.To Rebecca’s surprise, the shopkeepers 8 and Modbury became the first plastic bag-free town in Britain.9 , shoppers offered reusable bags. Other towns followed Mobur y’s example and more10 around Britain, such as London, Cambridge are becoming plastic bag-free.Now the “bag for life” is part of the national culture. And since October 2015, all shoppers must pay money for each plastic bag, no matter how much their spending is! It’s not enough, but it’s a start.1．A．move B．cry C．smile D．dream2．A．corn B．rice C．plastic D．rubber3．A．beautiful B．changeable C．difficult D．boring4．A．crops B．scissors C．windows D．beaches5．A．mails B．bowls C．dishes D．bags6．A．polluted B．enjoyable C．relaxing D．magical7．A．continue B．stop C．consider D．remember8．A．refused B．explained C．agreed D．separated9．A．Instead B．However C．Unluckily D．Anyway10．A．villages B．towns C．cities D．countriesⅢ. 语法填空12、My wife is addicted (沉溺) to shopping on the Internet. It seems that she can’t control1．(she) well, just clicking with the mouse. Let me2．(tell) you what happened last night. It was the3．(three) time she had shopped onlinefor4．(hour). I had already reminded her 5．( think) twice before buying anything，but my wife ignored (不顾) what I said and replied confidently, “With the New Year approaching, preparation is necessary. Besides, I6．(not buy) things on the Internet for a whole week.” Hearing her words, I was really speechless (无言的).In most cas es, the things she bought aren’t good value for money. Maybe she just 7．(enjoy) the process (过程) of buying online.With the8．(develop) of technology，online shopping9．(become) more and more convenient. Those who stay at home can buy whatever they want.In the meanwhile, it causes a series of problems. One of them is more spending than before，because people are10．(easy) attracted by the discount (打折). So how keep a good state of mind in front of temptation (诱惑) is an important lesson many people need to learn.Ⅳ. 阅读理解A13、concert tickets!1．April is the birthday month of .A．Nobel Book Store B．Fanta Centre C．Retro Mall D．Winkle Mall2．You can get the biggest discount (折扣)on .A．adults’ story books B．all magazinesC．Children’s picture books D．all text books3．will help you know how to improve your English through reading.A．Claire Tay B．Michael Hawes C．David K.oh D．Kate White4．If you spend $65, you will get a chance to win .A．Nobel membership B．a concert ticketC．an e-dictionary D．a $10 gift card5．The main purpose of the advertisement is toA．celebrate Children’s Day B．find excellent writers C．attract more book buyers D．introduce new reading coursesB14、The following is a QUIZ(自测) from a magazine.1．Which of the following makes the least pollution?A．Living pretty well in a big city.B．Flying on planes only twice a year.C．Almost always recycling used things.D．Using 15 hours of electricity each day.2．How many points does the average person get?A．7 points. B．8-10 points.C．11-13 points. D．14-15 points.3．Tom lives in a city, goes to work by subway, flies on airplanes once a year, uses 15 hours of electricity a day, an sometimes recycles used things. How many points does he get?A．11 points. B．12 points.C．13 points. D．14 points.4．Which of following would be the best title for the quiz?A．Where Do You Live? B．What Do You Recycle?C．Why Do We Travel? D．How Green Are You?C15、Everyone in our class has our own characters. Each plays his or her part in our class. All inall，we are a group of young children who are perhaps a bit noisy at times，but on the whole arewell behaved and pleasant to be with.Ah KeongWe are a noisy group, and that is what our teachers say about us.This is largely because of Ah Keong.He is the noisiest of us all because he lives with his family of ten children.It seems that he cannot talk softly.Actually he does not talk, he shouts.PadmaPadma is a quiet boy who sits next to me. He is so soft that one would think that he is a girl .This is not so. No one dares to call him“girl”, for he is a member of the school karate club.DorisDoris is such a model student that all the teachers love her, She sits right in front of the teachers table.We all love her because she is kind and helpful. Every day, she makes sure that the teachers have enough chalk and the classroom is clean.JJackEvery class has a clown(小丑)。
2023-2024厦门期末质检考试卷-初三语文-原卷+答案
2023-2024学年第一学期初中毕业班期末考试语文（试卷满分：150分考试时间：120分钟）考生注意：1．全卷共6页，共21题;2．答案一律写在答题卡上，否则不能得分。
一、积累与运用（25分）1．补写古代诗文名句。
（10分）（1）蒹葭萋萋，。
（《诗经·蒹葭》）（2），天涯若比邻。
（王勃《送杜少府之任蜀州》）（3），直挂云帆济沧海。
（李白《行路难（其一）》）（4）春蚕到死丝方尽，。
（李商隐《无题》）（5）浮光跃金，。
（范仲淹《岳阳楼记》）（6）是故学然后知不足，。
（《礼记·虽有嘉肴》）（7）望月思亲，苏轼抒发美好祝愿：“①，②”（《水调歌头》）;思归难归，范仲淹喟叹：“③，④”。
（《渔家傲·秋思》）2．阅读下面的文字，按要求作答。
（9分）“嘉庚瓦、燕尾脊、红砖墙、坡屋顶”，巍①（é）俊秀、端庄典雅的嘉庚建筑是厦门的一张城市名片。
橙红鲜亮的嘉庚瓦是其具有代表性的特色之一。
陈加俊祖祖辈辈都居住在龙海榜山镇，以烧瓦为生。
嘉庚瓦制作工艺，是他的家族几代人努力守护百年。
在创办集美小学前，陈嘉庚到龙海考察，（）遇到陈加俊的爷爷陈元盛。
两人相谈甚欢，决定由陈元盛为陈嘉庚（）一种美观、坚固、耐用的瓦片。
历经百年风雨，集美学村和厦门大学屋顶的那一②（mǒ）橙红，依旧鲜亮。
每一片嘉庚瓦，都体现了嘉庚先生③（ruì）意革新、精益求精的（）。
（1）根据拼音，依次写出①②③处相应的汉字（正楷字或行楷字）。
（3分）（2）依次填入文中括号内的词语，全都恰当的一项是（）（3分）A．偶然冶炼精神B．偶然烧制精神C．偶尔冶炼风骨D．偶尔烧制风骨（3）文中画横线的句子有语病，请修改。
（3分）3．名著阅读。
（6分）（1）鲁达一直走在救人的路上，可见其侠肝义胆。
请仿照以下示例，再简要概括一个鲁达救人的情节。
（2分）示例：救刘太公女儿，大闹桃花村。
（2）宋江在“及时雨会神行太保黑旋风斗浪里白跳”一回中评价李逵：“壮哉，真好汉也！”你认同宋江这一评价吗？请结合具体情节简要说明理由。
厦门市九年级上册期末质量检测数学试卷有答案
2019-2020学年（上）厦门市九年级质量检测数学（试卷满分：150分考试时间：120分钟）一、选择题（本大题有10小题，每小题4分，共40分.每小题都有四个选项，其中有且只有一个选项正确）1、下列算式中，计算结果是负数的是（）A ．()27-+B ．1-C ．()32⨯-D ．()21-2、对于一元二次方程2210xx -+=，根的判别式24b ac -中的b 表示的数是（）A ．2-B ．2C ．1-D ．13、如图，四边形ABCD 的对角线,AC BD 交于点O ，E 是BC 边上一点，连接,AE OE ，则下列角中是AEO ∆的外角的是（）A ．AEB ∠B ．AOD ∠C ．OEC ∠D ．EOC∠4、已知圆O 的半径是3，,,A B C 三点在圆O 上，60ACB ∠= ，则弧AB 的长是（）A ．2πB ．πC ．32πD ．12π5、某区25位学生参加魔方速拧比赛，比赛成绩如图所示，则这25个成绩的中位数是（）A ．11B ．10.5C ．10D ．66、随着生产技术的进步，某厂生产一件产品的成本从两年前的100元，下降到现在的64元，求年平均下降率，设年平均下降率为x ，通过解方程得到一个根为1.8，则正确的解释是（）A ．年平均下降率为80%，符合题意B ．年平均下降率为18%，符合题意C ．年平均下降率为1.8%，不符合题意D ．年平均下降率为180%，不符合题意7、已知某二次函数，当1x<时，y 随x 的增大而减小；当1x >时，y 随x 的增大而增大，则该二次函数的解析式可以是（）A ．()221y x =+B ．()221y x =-C ．()221y x =-+D ．()221y x =--8、如图，已知,,,A B C D 是圆上的点，弧AD =弧BC ，,AC BD 交于点E ，则下列结论正确的是（）A ．AB AD =B ．BECD=C ．AC BD =D ．BE AD=9、距资料，我国古代数学家祖冲之和他的儿子发展了刘徽的“割圆术”（即圆的内接正多边形边数不断增加，它的周长就越接近圆周长），他们从圆内接正六边形算起，一直算到内接正24576边形，将圆周率精确到小数点后七位，使中国对圆周率的计算在世界上领先了一千多年，依据“割圆术”，由圆内接正六边形算得的圆周率的近似值是（）A ．2.9B ．3C ．3.1D ．3.1410、已知点(),Mn n -在第二象限，过点M 的直线y kx b =+()01k <<分别交x 轴、y 轴于点,A B ，过点M 作MN x⊥轴于点N ，则下列点在线段AN 的是（）A ．()()1,0k n -B ．3,02kn ⎛⎫⎛⎫+ ⎪ ⎪⎝⎭⎝⎭C ．()2,0k n k+⎛⎫⎪⎝⎭D ．()()1,0k n +二、填空题（本大题有6小题，每小题4分，共24分）11、已知1x=是方程20x a -=的根，则a =________．12、一个不透明盒子里装有4个除颜色外无其他任何差别的球，从盒子中随机摸出一个球，若()1=4P摸出红球，则盒子里有________个红球．13、如图，已知3,1,90AB AC D ==∠= ，DEC ∆与ABC ∆关于点C 成中心对称，则AE 的长是________．14、某二次函数的几组对应值如下表所示，若12345x x x x x <<<<，则该函数图象的开口方向是________．x 1x 2x 3x 4x 5x y3-54-021-15、P 是直线l 上的任意一点，点A 在圆O 上，设OP 的最小值为m ，若直线l 过点A ，则m 与OA 的大小关系是________．16、某小学举办“慈善一日捐”演出，共有600张演出票，成人票价为60元，学生票价为20元，演出票虽未售完，但售票收入达22080元，设成人票售出x 张，则x 的取值范围是________．三、解答题（本大题有9小题，共86分）17、（本小题满分8分）241xx -=18、（本小题满分8分）如图，已知ABC ∆和DEF ∆的边AC 、DF 在一条直线上，//AB DE ，AB DE =，AD CF =，证明：//BCEF19、（本小题满分8分）如图，已知二次函数图象的顶点为P ，与y 轴交于点A 。
2023-2024学年福建厦门九年级上学期数学期末考质检卷(一检Wood版)
准考证号：姓名：(在此卷上答题无效)2023—2024学年第一学期初中毕业班期末考试数学本试卷共6页.满分150分.注意事项：1.答题前，考生务必在试题卷、答题卡规定位置填写本人准考证号、姓名等信息.核对答题卡上粘贴的条形码的“准考证号、姓名”与本人准考证号、姓名是否一致.2.选择题每小题选出答案后，用2B 铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦擦干净后，再选涂其他答案标号.非选择题答案用0.5毫米黑色签字笔在答题卡上相应位置书写作答，在试题卷上答题无效.3.可以直接使用2B 铅笔作图.一、选择题(本大题有8小题，每小题4分，共32分.每小题都有四个选项，其中有且只有一个选项正确)1.掷一枚质地均匀的骰子，骰子的六个面上分别刻有1到6的点数，下列事件中，是确定性事件的是A. 向上一面的点数是2B. 向上一面的点数是奇数C. 向上一面的点数小于3D.向上一面的点数小于72.下列方程中，有两个不相等的实数根的是A.x²=0B.x²-3x-1=0C.x²-2x+5=0D.x²+1=03.如图1,△ABC 内接于◎0,直径AD交BC 于点P, 连接OB.下列角中，等于的是A. ∠OABB. ∠ACBC. ∠CADD. ∠OPB4.关于y=(x-2)²-1(x为任意实数)的函数值，下列说法正确的是图 1A.最小值是-1B.最小值是2C.最大值是-1D. 最大值是25.某学校图书馆2023年年底有图书5万册，预计到2025年年底增加到8万册，设图书数量的年平均增长率为x, 可列方程A.5(1+x)=8B.5(1+2x)=8C.5(1+x)²=8D.5(1+2x)²=86.如图2,直线l 是正方形ABCD的一条对称轴，l 与AB,CD 分别交于点M,N.AN,BC 的延长线相交于点P, 连接BN.下列三角形中，与△NCP 成中心对称的是A.△NCBB.△BMN图2C.△AMND.△NDA数学试题第1页(共6页)7.某个正六边形螺帽需要拧4 圈才能拧紧，小梧用扳手的 卡口卡住螺帽，通过转动扳 手的手柄来转动螺帽(如图3 所示).以此方式把这个螺帽 拧紧，他一共需要转动扳手 的次数是A.4B.16图3C.24D.32 8.某航空公司对某型号飞机进行着陆后的滑行测试.飞机着陆后滑行的距离s (单位：m) 关于滑行的时间t (单位：s )的函数解析式是,则t 的取值范围是A.O≤t≤600B.20≤t≤40C.O≤t≤40 二、填空题(本大题有8小题，每小题4分，共32分)9.不透明袋子中只装有2个红球和1个黄球，这些球除颜色外无其他 差别，从袋子中随机摸出1个球，摸出红球的概率是10.抛物线y=3(x-1)²+4的对称轴是11.已知x=1 是方程x²+mx-3=0 的根，则m 的值为 12.四边形ABCD 内接于◎0,E 为 CD 延长线上一点，如图4所示，则D.O≤t≤20图4图中与∠ADE 相等的角是13. 如图5,在△ABC 中，AB=AC=5,BC=6,AD 是△ABC 的角平分线. 把△ABD 绕点A 逆时针旋转90°得到△AEF, 点B 的对应点是点E, 则点D 与点E 之间的距离是14.在平面直角坐标系xOy 中，□ABCD 的对角线交于点0.若点A 的 图5 坐标为(-2,3),则点C 的坐标为 .15.为了改良某种农作物的基因，培育更加优良的品种，某研究团队开展试验，对该种农作物 的种子进行辐射，使其基因发生某种变异.表一记录了截至目前的试验数据.表一累计获得试验成功的种子数(单位：粒)1 4 6 8 10 12 14累计试验种子数(单位：千粒)15810.5 12.5 14.5 16.5该团队共需要30粒基因发生该种变异的种子，请根据表一的数据，合理估计他们还需要 准备用以辐射的种子数(单位：千粒): 16.有四组一元二次方程：①x²-4x+3=0和3x²-4x+1=0;②x²-x-6=0和6x²+x-1=0;③x²-4=0和4x²-1=0;④4x²-13x+3=0和3x²-13x+4=0. 这四组方程具有共同特征， 我们把具有这种特征的一组一元二次方程中的一个称为另一个的“相关方程”.请写出一个 有两个不相等实数根但没有“相关方程”的一元二次方程：数学试题 第2页(共6页)三、解答题(本大题有9 小题，共86分)17.(本题满分8分解方程x²-5x+2=0.18.(本题满分8分)如图6,四边形ABCD是平行四边形，AC=AD,AE⊥BC,DF⊥AC,垂足分别为E,F.证明AE=DF.图619.(本题满分8分)先化简，再求值：,其中m=√2+1.20.(本题满分8分)如图7,AB与◎0相切于点A,OB交O0 于点C,OC=8,AC的长为2π,求BC的长.图7数学试题第3页(共6页)21.(本题满分8分)在矩形ABCD中，点E 在AD边上，∠ABE=60°, 将△ABE 绕点B 顺时针旋转得到△FBG, 使点A的对应点F 在线段BE上.(1)请在图8中作出△FBG;(要求：尺规作图，不写作法，保留作图痕迹)(2)FG 与BC交于点Q, 连接EQ,EC, 若EC=BQ, 请探究AE 与DE的数量关系.图822.(本题满分10分)某公交公司有一栋4层的立体停车场，第一层供车辆进出使用，第二至四层停车.每层的层高为6m, 横向排列30个车位，每个车位宽为3m, 各车位有相应号码，如：201 表示二层第1个车位.第二至四层每层各有一个升降台，分别在211,316,421,为便于升降台垂直升降，升降台正下方各层对应的车位都留空.每个升降台前方有可在轨道上滑行的转运板(以第三层为例，如图9所示).该系统取车的工作流程如下(以取停在311的车子为例):①转运板接收指令，从升降台316 前空载滑行至311前；②转运板进311,托起车，载车出311;③转运板载车滑行至316前；④转运板进316,放车，空载出316,停在316前；⑤升降台垂直送车至一层，系统完成取车.316转图9 停车场第三层平面示意图升降台升与降的速度相同，转运板空载时的滑行速度为1 m/s, 载车时的滑行速度是升降台升降速度的2倍.(1)若第四层升降台送车下降的同时，转运板接收指令从421 前往401取车，升降台回到第四层40s 后转运板恰好载着401的车滑行至升降台前，求转运板载车时的滑行速度；(说明：送至一层的车驶离升降台的时间、转运板进出车位所用的时间均忽略不计)(2)在(1)的条件下，若该系统显示目前第三层没有车辆停放，现该系统将某辆车随机停放在第三层的停车位上，取该车时，升降台已在316待命，求系统按上述工作流程在1分钟内完成取该车的概率.数学试题第4页 (共6页)23.(本题满分10分)正方形的顶点T 在某抛物线上，称该正方形为该抛物线的“T 悬正方形”.若直线l:y=x+t与“T 悬正方形”以T为端点的一边相交，且点T 到直线l的距离为√2(2-t),则称直线l 为该正方形的“T 悬割线”.已知抛物线M:y=-(x-1)²+m²-2m+4,其中,A(m,3),B(4-3m,3),以AB为边作正方形ABCD(点D在点A的下方).(1)证明：正方形ABCD是抛物线M的“A 悬正方形”;(2)判断正方形ABCD是否还可能是抛物线M的“B悬正方形”,并说明理由；(3)若直线l 是正方形ABCD的“A悬割线”,现将抛物线M 及正方形ABCD进行相同的平移，是否存在直线l 为平移后正方形的“C 悬割线”的情形?若存在，请探究抛物线M 经过了怎样的平移；若不存在，请说明理由.24.(本题满分12分)四边形ABCD是菱形，点O为对角线交点，AD边的垂直平分线交线段OD于点P(P 不与 0重合),连接PC,以点P 为圆心，PC 长为半径的圆交直线BC 于点E,直线AE 与直线CD 交于点F, 如图10所示.(1)当∠ABC=60°时，求证：直线AB与◎P 相切；(2)当AO=2,AF²+EF²=16时，求∠ABC 的度数；(3)在菱形ABCD的边长与内角发生变化的过程中，若点C 与E 不重合，请探究∠AFC与∠CAF 的数量关系.图10数学试题第5页(共6页)25.(本题满分14分)请阅读下面关于运用跨学科类比进行的一次研究活动的材料：【背景】小梧跟同学提到他家附近在规划开一个超市，有同学问道：“你家附近不是已经有一个A 超市了吗?再开一个能吸引顾客吗?”这个问题引起了大家对超市的吸引力展开研究的兴趣.【过程】为了简化问题，同学们首先以“在楼层数相同、同样商品的品质和价格相同、售货服务的品质也大致相同的情况下，影响超市吸引力的主要因素”为主题对该市居民展开随机调查.结果显示：超市的占地面积、住处与超市的距离这两个因素的影响程度显著大于其他因素.大家根据调查进行了总结：①可以把“平均每周到超市购物次数p” 作为超市吸引力指标；②占地面积越大吸引力越大；③距离越大吸引力越小.在此次调查所收集到的居民平均每周到各超市购物次数的基础上，同学们进一步调查了相应超市的占地面积s (单位：m²) 及其与居民住处的距离r (单位：m), 并对p,s,r 之间的关系进行研究.一开始，同学们猜想p可能是的正比例函数，但经过检验，发现与实际数据相差较大. 这时，小梧提出：“我联想到牛顿万有引力定律，这个定律揭示了两个物体之间的引力大小与各个物体的质量成正比，而与它们之间距离的平方成反比，可以表示为 (G是引力常数),我们是不是可以作个类比，试一下看p与的关系如何?”.按他的建议，同学们利用调查所得的数据在平面直角坐标系中绘制了p与对应关系的图11 r²散点图，如图11所示.根据阅读材料思考：(1)观察图11中散点的分布规律，请用一种函数来合理估计p与的对应关系，直接写出它的一般形式；(2)为了清晰表示位置，同学们选A 超市为原点，分别以正东、正北方向为x 轴、y 轴正方向建立平面直角坐标系，规定一个单位长度代表1 m 长，则小梧家的坐标为(400,200). A 超市的占地面积为2000m², 规划中的B 超市在A 超市的正东方向.根据(1)中的对应关系，解决下列问题：① 若B 超市与A 超市距离600 m～800m,且对小梧家的吸引力与A 超市相同，求B超市占地面积的范围；②小梧家在东西向的百花巷，百花巷横向排列着较为密集的居民楼.现规划 B 超市开在距A 超市300m处，且占地面积最大为490m²,要想与A 超市竞争百花巷的居民，该规划是否合适?请说明理由.数学试题第6页(共6页)。
厦门初三质检试题及答案
厦门初三质检试题及答案一、选择题（每题2分，共20分）1. 下列关于厦门的描述，不正确的是：A. 厦门是中国东南沿海的重要城市B. 厦门是福建省的省会C. 厦门是著名的旅游城市D. 厦门拥有丰富的海洋资源答案：B2. 厦门的气候类型是：A. 温带季风气候B. 亚热带季风气候C. 热带雨林气候D. 寒带气候答案：B3. 厦门大学是中国的一所著名高校，它位于：A. 福建省福州市B. 福建省厦门市C. 广东省广州市D. 浙江省杭州市答案：B4. 厦门的市花是：A. 桂花B. 荷花C. 凤凰花D. 梅花答案：C5. 厦门的市树是：A. 榕树B. 樟树C. 松树D. 柳树答案：A6. 以下哪项不是厦门的著名景点？A. 鼓浪屿B. 南普陀寺C. 环岛路D. 武夷山答案：D7. 厦门的国际友好城市包括：A. 澳大利亚悉尼B. 美国洛杉矶C. 日本长崎D. 以上都是答案：D8. 厦门的著名特产不包括：A. 厦门馅饼B. 厦门鱼丸C. 厦门茶叶D. 桂林米粉答案：D9. 厦门的行政级别是：A. 地级市B. 副省级市C. 直辖市D. 县级市答案：B10. 厦门的著名历史人物有：A. 陈嘉庚B. 郑成功C. 林则徐D. 以上都是答案：D二、填空题（每空1分，共10分）1. 厦门的总面积约为______平方公里。
答案：17002. 厦门的常住人口约为______万人。
答案：4003. 厦门的著名港口是______。
答案：厦门港4. 厦门的著名桥梁是______。
答案：厦门大桥5. 厦门的著名公园是______。
答案：白鹭洲公园6. 厦门的著名博物馆是______。
答案：厦门博物馆7. 厦门的著名剧院是______。
答案：厦门歌剧院8. 厦门的著名体育场馆是______。
答案：厦门体育中心9. 厦门的著名图书馆是______。
答案：厦门市图书馆10. 厦门的著名商业区是______。
答案：中山路三、简答题（每题5分，共20分）1. 请简述厦门的地理位置及其特点。
福建省厦门市湖里区湖里中学2024-2025学年下学期初三年级期末教学质量检测试题(一模)语文试题含
福建省厦门市湖里区湖里中学2024-2025学年下学期初三年级期末教学质量检测试题（一模）语文试题注意事项：1．答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。
2．回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号。
回答非选择题时，将答案写在答题卡上，写在本试卷上无效。
3．考试结束后，将本试卷和答题卡一并交回。
一、积累与运用1．下列加点字注音和词语书写全部正确的一项是( )A．阻遏．(è) 愧赧．(nǎn) 不屑置辨世外桃源B．莅．临(lì) 埋．怨(mán) 气冲斗牛颠沛流离C．羁绊．(bàn) 蛮横．(hèng) 弹精竭虑咄咄逼人D．拜谒．(è) 斡．旋(wò) 怪诞不经郑重其事2．下列各组词语中加点的字，读音完全正确的一项是（）A．狭隘．（ài）祈．祷（qǐ）沧．海（cānɡ）歼．灭（jiān）B．倔．强（jué）档．案（dǎnɡ）俘虏．（lǔ）氛．围（fēn）C．憎．恶（zēng）殷．红（yān）沽．酒（ɡū）洪涝．（lào）D．嫉．妒（jì）混淆．（xiáo）荤．菜（hūn）剽．悍（piāo）3．下列句子没有语病．．．．的一项是 ( )A．我们要在全社会大力弘扬家国情怀，践行和培育社会主义核心价值观。
B．81岁的胡院士在摘得山东科技最高奖后，殷殷嘱咐“科技创新还要靠年轻人”。
C．第十八届全国书博会在郑州举行，广东参展的出版物至少有4500种以上。
D．不仅诚信关系到国家的整体形象，而且体现了公民的基本道德素质。
4．下列各组词语中，词语的读音全都正确的一项是（）A．衍生(yǎn) 翌日(shù) 相映成趣(yǐng) 血气方刚(xǔe)B．楹联(yíng) 昳丽(yì) 循序渐进(xún) 一窍不通(qiào)C．殷红(yīn) 依偎(wēi) 咬文嚼字(júe) 衣衫槛褛(lǚ)D．眼睑(liǎn) 摇曳(yè) 熠熠生辉(yù) 一念之差(chà)5．下列有关语文知识分析不当的一项是( )A．“赞成”“恭敬”“终于”（分析：这三个词依次是动词、形容词、副词）。
福建省厦门市名校2023-2024学年九年级英语第一学期期末达标测试试题含解析
福建省厦门市名校2023-2024学年九年级英语第一学期期末达标测试试题注意事项:1．答题前，考生先将自己的姓名、准考证号码填写清楚，将条形码准确粘贴在条形码区域内。
2．答题时请按要求用笔。
3．请按照题号顺序在答题卡各题目的答题区域内作答，超出答题区域书写的答案无效；在草稿纸、试卷上答题无效。
4．作图可先使用铅笔画出，确定后必须用黑色字迹的签字笔描黑。
5．保持卡面清洁，不要折暴、不要弄破、弄皱，不准使用涂改液、修正带、刮纸刀。
Ⅰ. 单项选择1、—I come back to school before 10 o'clock?— No, you needn't.A．Must B．Can C．May D．Should2、Steve Jobs was full of — always coming up with new ideas which led to great changes in society . A．instruction B．invitation C．introduction D．invention3、_______ great fun they are having in the sitting room !A．What B．HowC．What a D．How a4、I like ___ color of your sweater. I’ll buy ____ skirt like this color.A．the; a B．a; a C．the; the D．a; the5、—Look, Tom's parents look so sad.—Maybe they what's happened.A．knew B．have known C．has known D．will know6、- My bike is broken. Can you help me _____ it?- Sure.A．repair B．recycle C．store D．invent7、People often think pigs are stupid. But , they are quite smart.A．no problem B．in fact C．no way D．in all8、—“Avengers: Endgame”《复仇者联盟4：终局之战》will be shown in America in April.—exciting news! I hope it will be shown in China soon.A．What a B．What C．How a D．How9、Tom, where is your mum?Oh, she ______ in the kitchen.A．cooks B．will cook C．is cooking D．cooked10、—Excuse me, madam. Would you please the total cost of the trip?一All right, I will make it at once.A．give out B．look out C．take out D．work outⅡ. 完形填空11、When I was twenty-eight years old, I left my hometown and went to another city. There I found my first 1 .I worked 2 a dentist in a hospital.It was cloudy yesterday. I got up early, had a breakfast and went to work. When I was 3 , it started to rain. I was very sad because I found I 4 to take my umbrella. So I had to run to the 5 . When I got there, my clothes were all 6 It was getting colder and colder. I 7 for about half an hour, but there weren't any buses coming. Just then a car 8 behind me. The woman in the car rolled(摇)down the window and asked if I 9 a ride(便车). I remembered my mother told 10 not to take rides from strangers（陌生人）.So I said, “No, thanks.”11 she still asked me to get into her car. I looked at her 12 and she looked like a kind woman. So I 13 in and she took me all the way to my house. I thanked her and wanted to 14 her some money. She refused(拒绝) and left 15 I could ask for her name.I was really lucky to meet such a kind woman in the strange city.1．A．woman B．job C．dentist2．A．like B．of C．as3．A．at the station B．at home C．in the hospital4．A．remembered B．wanted C．forgot5．A．hospital B．bus stop C．home6．A．dry B．over C．wet7．A．cried B．looked C．waited8．A．stopped B．drove C．went9．A．came B．bought C．needed10．A．me B．him C．her11．A．If B．So C．But12．A．happily B．carefully C．sadly13．A．walked B．got C．climbed14．A．give B．have C．share15．A．before B．after C．whenⅢ. 语法填空12、The Value of a DollarWhen I was nineteen, I had a job at a local bookstore. One night, a young couple came in and walked here and there looking for a book. They seemed 1．(be) the usual type to give mall 2．(worker) a hard time. When they came to the register (收银处), she was a dollar or two short of 3．(buy) the book she wanted.She looked 4．(disappoint). I had a customer discount (折扣) card and it was still active. I told the girl 5．(gentle), “Hang on, don’t worry, you’ll have the money to buy the book.” I put in my password.She gave me a 6．(thank) smile. With a dollar left, she and her boyfriend left the store. I believed that I would never see 7．（they）again.I don’t remember 8．long it was, but they did return later that evening just to bring me 9．beautiful card that said “It’s people like you who make th e world a 10．(good) place to live in.”I’m deeply moved by the little girl and her boyfriend. In fact, they have also made the world a little brighter.Ⅳ. 阅读理解A13、Online Courses in Creative WritingDo interesting ideas always flood in your head? Are you looking for a way to express your feelings? Then join the Writers Club where you can have the chance to work on new writing, finish personal writing projects, and help others review their works. Mr. Mitchell wants to work with students who are crazy about writing and exploring ideas.Time and place: Every other Tuesday from 2:30-3:30ContactMr.Mitchell:*************************．What can you do in the Writers Club?A．Meet famous writers.B．Help others to review their writings.C．Shout out your feelings.2．How long does a lesson last?A．For one hour.B．For two hours.C．For three and a half hours.3．How can you contact Mr. Mitchell?A．By making a phone call.B．By sending an e-mail.C．By leaving a note.B14、根据表格，选择正确答案1．The train from Beijing to Shenyang leaves at .A．5:05 B．6:35 C．8:352．We have to spend on the train if we go to Shenyang from Beijing.A．17 hours and 50 minutesB．6 hours and 25 minutesC．11 hours and 15 minutes3．If you want to go to Chengdu from Taiyuan, you can take the train.A．No. 11 B．No.185 C．No. 2714．The No. 186 train arrives in Taiyuan at .A．10:50 am B．22:50 C．5:05 am5．It takes hours from Tianjin to Beijing by train.A．about 2 B．30 minutes C．about 1C15、When my family moved to America from in 2016 from a small village in Guangdong, China, we brought not only our luggage, but also our village rules, customs and culture. One of the rules is that young people should always respect elders. Unluckily, this rule led to my very first embarrassment in the United States. I had a part-time job as a waiter in a Chinese restaurant. One time, when I was serving food to a middle-aged couple, the wife asked me how the food could be served so quickly. I told her that I had made sure they got their food quickly because I always respect the elderly. As soon as I said that, her face showed great displeasure. My manager, who happened to hear what I said, took me aside and gave me a long lecture about how sensitive（敏感）Americans are and how they dislike the description "old". I then apologized to the wife. After the couple heard my reason, they understood that the problem was caused by cultural differences, so they laughed and were no longer angry.In China, people are proud of being old. Not so many people live to be seventy or eighty, and people who reach such an age have the most knowledge and experience. Young people always respect old people because they know they can learn from their rich experience. However, in the United States, people think "growing old" is a problem since "old" shows that a person is going to retire or that the body is not working well. Here many people try to keep themselves away from growing old by doing exercises or jogging, and women put on makeup, hoping to look young. When I told the couple in the restaurant that I respect the elderly, they got angry because this caused them to feel they had failed to stay young. After that, I changed the way I had been with old people. It is not that I don't respect them anymore; I still respect them,but now I don't show my feelings through words.1．Jack brought the couple their food very fast because _______.A．the manager asked him to do so B．he respected the elderlyC．the couple wanted him to do so D．he wanted more pay2．When Jack called the couple “elderly”, they became _______.A．nervous B．satisfied C．unhappy D．excited3．In Jack’s hometown, _______.A．people dislike being called “old”B．people are proud of being oldC．many people reach the age of seventy or eightyD．the elderly are the first to get food in restaurants4．Which of the following is TRUE?A．The more Jack explained, the angrier the couple got.B．Jack wanted to show his feelings through words after his experience.C．The manager went back to the table and apologized to the couple.D．From this experience, Jack learned more about American culture.D16、I grew up in a small town. My father raised chickens and ran a construction company. I was only 10 years old when my dad gave me the responsibility of feeding the chickens and cleaning up the stable. He believed it was important for me to have those jobs to learn responsibility. Then, when I was 22, I found a job in Natchbill at a country music club called the Natchbill Palace, I washed dishes and cooked from 4:00 p.m to 9:00 p.m and then went on stage and sang until 2:00 in the morning. It wasn’t long befo re I became known as a singing cook. I had been rejected(拒绝) so many times by record companies that it was hard not to be discouraged. One night, a woman executive(董事) from a company named Warner Brothers Records came to hear me sing. When the show was over, we sat down and talked and after she left, I said to myself it was one more rejection. A few weeks later, my manager received a phone call—Waner Brothers wanted to sign me to a record deal. Soon after, I release(发行) my first record in June 1986. It sold over 2 million copies. My best efforts had gone into every job I’ve ever held. It was the sense of responsibility that made me feel like a man. Knowing that I had done my best filled me with pride. I still feel that way today, even though I have become awell-known singer.1．（小题1）Why was the writer once known as the singing cook?A．Because he was a cook at a country –music club.B．Because he sang for guests while he worked as a cook.C．Because he often sang while cooking.D．Because he liked singing better than cooking.2．（小题2）Who first recognized his talents and helped make his career successful?A．Warner Brothers B．His managerC．His father D．A business woman3．（小题3）What made the writer proud of himself?A．His ability to live independently.B．His sense of responsibility in whatever he did.C．His courage in the face of rejections.D．His hard work in his early days.E17、During all this time I never stopped thinking about escape. When I traveled across to the other side of the island, I could see the other islands, and I said to myself, "Perhaps I can get there with a boat. Perhaps I can get back to England one day."So I decided to make myself a boat. I cut down a big tree, and then began to make a long hole in it. It was hard work, but about six months later, I had a very fine canoe (独木舟). Next, I had to get it down to the sea. How silly I was! Why didn't I think before I began work? Of course, the canoe was too heavy. I couldn't move it! I pulled and pushed and tried everything, but it didn't move. I was very unhappy for a long time after that.That happened in my fourth year on the island. In my sixth year I did make myself a smaller canoe, but I did not tryto escape in it. The boat was too small for a long journey, and I did not want to die at sea. The island was my home now, not my prison, and I was just happy to be alive. A year or two later, I made myself a second canoe on the other side of the island. I also built myself a second house there, and so I had two homes.My life was still busy from morning to night. There were always things to do or to make. I learnt to make new clothes for myself from the skins of dead animals. They looked very strange, it is true, but they kept me dry in the rain.I kept food and tools at both my houses, and also wild goats. There were many goats on the island, and I made fields with high fences to keep them in. They learnt to take food from me, and soon I had goats' milk to drink every day. I also worked hard in my corn (玉米) fields. And so many years went by.1．The purpose of making a canoe on the island was to _____________.A．escape in it B．get to the other side of the islandC．use it for food D．go around the island2．To survive, the writer did the following EXCEPT _____________.A．keeping goats for milk B．making clothes from animal skinsC．working in the cornfields D．going fishing in the sea3．Why didn't the writer use his first canoe?A．Because it was too small for a long journey.B．Because it was too heavy to get down to the sea.C．Because there was something wrong with it.D．Because the writer was busy building a second house.4．From the story, we can learn that _____________.A．the writer tried to make his stay comfortable on the islandB．the writer had nothing to do on the wild islandC．the writer tried to escape in the second canoe, but failedD．the writer was in prison on the island, losing his freedom5．What is the best word to describe the writer?A．excited B．brave C．adventurous D．hard-workingF18、I used to watch him from my kitchen window. He seemed so small as he played through a crowd of tall boys on the playground. The school was across the street from our home and I wouldoften watch the kids as they played during break.I remember the first day when I saw him playing basketball. He ran circles around the other kids. He managed to shoot jump shots from their heads and into the net. The big boys always tried to stop him but no one could.One day, I met him and asked him why he practiced so much. Without a moment of hesitation he said, "I want to go to college. The only way I can go is to get a scholarship. I am going to play college basketball. I want to be the best. My daddy told me if the dream is big enough, the facts don't count.I watched him through those junior high school and into senior high school. Every week, he led his school team to victoryOne day in his senior year, I saw him sitting in the grass with head in his arms. I walked across the street and sat down in the cool grass beside him. Quietly I asked what was wrong. "Oh, nothing," came a soft reply, "I am just too short." The coach told him that he would probably never get to play for a top ranked team-much less offered a scholarship. So she should stop dreaming about college.He was heartbroken and I felt my own throat tighten as I sensed his disappointment. I asked him if he had talked to hisdad about it yet. He told me that his father said those coaches were wrong. They just did not understand the power of a dream. He told him that if he truly wanted a scholarship and that nothing could stop him except one thing-his own attitude. He told him again, “If the dream is big enough, the facts don’t count.”The next year, as he and his team went to the Northern California Championship game, he was offered a scholarship. Finally, he was going to get the college education that she had dreamed of.1．The little boy practiced playing basketball so much because __________.A．he wanted to play basketball better than the big boysB．he had great gift for playing basketballC．he wanted to get the college educationD．he wanted to show off his basketball skills to the boys2．The little boy was heartbroken because __________.A．he was considered too short to be a top playerB．his father did wrong to himC．he wouldn’t be offered a scholarship any moreD．his parents thought he spent too much time in playing basketball3．The underlined sentence means _________.A．every one of us should have a dreamB．if you have a dream, it must come trueC．the dream is more important than the factsD．if you try your best, your dream will beat the facts4．We can learn from the passage that _________.A．the little boy stopped dreaming about because of the coachB．the father always encourages the boyC．a top basketball team can offer the player a scholarshipD．the little boy was much taller than the other boys5．The writer mainly wants to tell us that ________.A．practice makes perfect B．Rome was not built in one dayC．where there is a will, there is a way D．pride comes before a fallⅤ.书面表达19、书面表达。
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厦门市2010－2011学年（下）九年级质量检测
数学试题
（全卷满分： 150分；答卷时间：120分钟）
一、选择题（本大题有7小题，每小题3分，共21分.每小题都有四个选项，其中有且只有
一个选项正确）
1．下列计算正确的是
A.16
9+＝169+ B. 2222=-
C. (23)2＝6，
D.
53
15
315==
2. 二次根式x -3有意义，则x 的取值范围是 A.
3.3.,3.
,3≥≤<>x D x C x B x
3．投掷一个均匀的正六面体骰子，每个面上依次标有1、2、3、4、5和6． 掷得的数是“5”或是“6”的概率等于 A.
41.
3
1B C . 11
.
5
6
D 4．方程232
=-x x 的两根之和与两根之积分别是 A ．1和2，B . -1和-2 C. 1212D.3333
--
-和和
5. 关于x 的一元二次方程 x 2-2x +m =0没有实数根，则m 的取值范围是
A. m >-1
B. m <-1
C. m >1
D. m <1
6. 的值是则x
x x x 1
,71-=+
A.
3 B. 33-或 C.
5 D. 55-或
7. 已知在平面直角坐标系中，C 是x 轴上的点，点A(0,3)、B(6,5).则AC+BC 的最小值是 A .10 B. 8 C. 6 D. 102 二、填空题(本大题共10题，每小题4分，共40分). 8.=-2)5( ．
9. 2
x －3x+（ ）=(-x )2
．
10. Rt △ABC 中，∠C ＝90°，AC ＝2，BC ＝3，则tan B ＝ . 11. 若
53a b =，则=-b
b
a ． 12．cos60°+3tan30°= .
E
D C
B A α
13．在比例尺为1:5 0000的地图上，量得A 、B 两地的距离为4厘米，则A 、B 两地的实际距离是 千米.
14. 如图，O 是△ABC 的重心， AN 、CM 相交于点O ， 那么△MON 与△AOC 面积的比是____________．
15.2
x x 00,m n m nx m m ++=≠+是关于的方程的根，且则的值是 . 16．已知是整数，1632+n 则n 的最小整数值是 .
17. 如图，△ABC 中，AB =8cm,AC =16cm,点P 从A 出发，以每秒2厘米的速度向B 运动，点
Q 从C 同时出发，以每秒3厘米的速度向A 运动。
其中一个动点到达端点时，另一个也相应
停止运动。
那么，当以A 、P 、Q 为顶点的三角形与△ABC 相似时，运动时间是 .
三、解答题 18．（本大题满分16分，5+5+6） （181218； （2）解方程2
250x x +-=； （3）若=
a 32-，求 4)3()2()2(2+--++-a a a a 的值.
19. （本大题满分6分）如图，为测楼房BE 的高，用测量仪在距楼底部30米的D 处，用高1.2米的测角仪AD 测得楼顶B 的仰角α为60°.求楼房BE 的高度.（精确到0.1米）.
20. （本大题满分8分）小英过生日，同学们为她设置了一个游戏：把三个相同的乒乓球分别标上了1,2,3,放进一个盒子摇匀，另外两个相同的乒乓球也分别标上1,2放进另外的一个盒子摇匀.然后请一个同学分别从两个盒子中随机的各取出一个球，若两个球的数字之积为奇数，小英就唱歌，若数字之积为偶数，小英就跳舞.那么生日聚会上小英唱歌的概率大还是跳舞的概率大？请说明理由.
Q
P
A
F
E
D
C
B
A 21．（本大题满分8分）已知平面直角坐标系中，△ABC 的三个顶点的坐标分别为A （2，2），
B （1，-1），
C （3，0）. （1）在图1中，画出以点O 为位似中心，放大△ABC 到原来的2倍的△/
/
/
C B A ； （2）若P （),b a 是AB 边上一点，平移△ABC 之后，点P 的对应点/P 的坐标是（)2,3-+b a .在图2中画出平移后的△/
/
/
C B A .
22．（本大题满分9分）如图，平行四边形ABCD ，DE 交BC 于F ， 交AB 的延长线于E ，且∠EDB =∠C . （1）求证：△ADE ∽△DBE ;
(2)若DE =9cm ，AE =12cm ，求DC 的长. 23．（本大题满分10分）已知Rt △ABC 中，∠C ＝90°，则sin A ＝
5
5
， △ABC 的面积是5. (1)求AB 的长;
（2）下面每个方格的边长都是1，请在图中画出格点△ABC.
图1
图2
D
C B A 24．（本大题满分10分）某商店代销一批季节性服装，每套代销成本40元．第一个月每套销售定价为52元，可售出180套；应市场变化调整第一个月的销售价，预计销售定价每增加1元，销售量将减少10套．
（1）若设第二个月的销售定价增加x 元，填写下表：
时间
第一个月 第二个月 销售定价（元） 销售量（套）
（2）若商店预计要在这两个月的代销中获利4160元，则第二个月销售定价每套应为多少元？
25. （本大题满分10分）已知，如图： 四边形ABCD 中，∠C >90°,CD ⊥AD 于D ，CB ⊥AB 于B ，AB =3，
tan A 是关于x 的方程0)132(4
1322
2
=+-+
-m m x x 的一个实数根. （1）求tanA ；
（2）若CD =m ，求BC 的值.
26. （本大题满分12分）如图，直线AB 分别与x 、y 轴的正半轴相交于点A （a ,0）和B (0，b ),
直线32
1
+=
x y 交y 轴于点E ，交AB 于点F . （1）当a = 6 ，b =6时，求四边形EOAF 的面积；
（2）若F 为线段AB 的中点，且 AB =54时，求证：∠BEF=∠BAO .
y。