初2014级2012—2013学年度下期期末综合能力训练(二)
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秘密★启用前2012重庆一中高2014级高一下期期末考试数 学 试 题 卷数学试题共4页,满分150分,考试时间120分钟。
注意事项:1、答题前,务必将自己的姓名、准考证号填写在答题卡规定的位置上。
2、答选择题时,必须使用2B 铅笔将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,再选涂其它答案标号。
3、答非选择题时,必须使用0.5毫米黑色签字笔,将答案书写在答题卡规定的位置上。
4、所有题目必须在答题卡上作答,在试题卷上答题无效。
一、选择题(每小题5分,共50分。
)1、若一个球的表面积为216cm π,则小球的半径为( )cm 。
A 、1B 、2C 、3D 、42、已知某单位有职工120人,其中男职工90人。
现在采用分层抽样(按男女分层)抽取一个样本,若样本中有9名女职工,则样本容易为( )A 、20B 、30C 、36D 、403、如图是在重庆一中班级文化展示中七位评委为某个班级打出的分数的茎叶图,在去掉一个最高分和最低分后,所剩数据的平均数和方差分别是( )A 、84,4.84B 、84,1.6C 、85,1.6D 、85,44、已知向量()(),12,1a x b x ==-与方向相反,则x =( )A 、1-B 、2C 、1-或1D 、135、右图所示的程序框图中,若输入的x 的值为5,则输出i 的值是( )A 、3B 、4C 、5D 、66、右图是一个几何体的三视图,其中正视图和侧视图都是一个两底长分别为2和4体积是( )A 、28πB 、283πC 、7πD 、73π7、数列{}n a 中,()111,21n n a n a n a +=⋅=+。
则数列{}n a 的通项公式为n a =( )A 、2n nB 、12n n- C 、21n n - D 、12n n + 8、已知三个不同的平面,,αβγ和两条不重合的直线,m n 。
下面四个命题:①若//,,,//m n m m n ααββ=⊂则;②若,//,,m m n n αβαβ⊥⊂⊥则;③若,,//αβγβαγ⊥⊥则;④若,,m m αβγαγ=⊥⊥则。
2013-2014 高二下期期末数学理科最后冲刺一、选择题:本题共12个小题,每小题5分,共60分,1、如果物体做2)1(2)(t t S -=的直线运动,则其在s t 4=时的瞬时速度为:( A ) A . 12 B 。
12- C. 4 D. 4-2、若ln 33a =,ln 55b =,ln 66c =,则( B ) A .a b c << B .c b a << C .c a b << D .b a c <<3.将甲、乙、丙、丁四名学生分到三个不同的班,每个班至少分到一名学生,且甲、乙两名学生不能分到同一个班,则不同分法的种数为( C )A.18B.24C.30D.364.若函数()2x f x e x a =--在R 上有两个零点,则实数a 的取值范围是 ( C )A.12ln 2,2⎡⎫-+∞⎪⎢⎣⎭B.1,2ln 22⎛⎤-∞- ⎥⎝⎦C.[)22ln2,-+∞D.(],22ln2-∞- 5.有A .B .C .D .E .F6个集装箱,准备用甲.乙.丙三辆卡车运送,每台卡车一次运两个.若卡车甲不能运A 箱,卡车乙不能运B 箱,此外无其它任何限制;要把这6个集装箱分配给这3台卡车运送,则不同的分配方案的种数为( D ) A .168 B .84 C .56 D .42 6、掷一枚质地均匀的骰子12次,则出现向上一面是3的次数的均值和方差分别是( B ) A.2和5 B.2和35 C.4和38 D.621和1 7.12名同学合影,站成了前排4人后排8人.现摄影师要从后排8人中抽2人调整到前排,若其他人的相对顺序不变,则不同调整方法的种数是( C ) A .2283C A B .2686C A C .2286C A D .2285C A 8.市场上供应的灯泡中,甲厂产品占70%,乙厂占30%,甲厂产品的合格率是95%,乙厂的合格率是80%,则从市场上买到一个是甲厂生产的合格灯泡的概率是 ( A ) A .0.665 B .0.56 C .0.24 D .0.2859.如图,一环形花坛分成A 、B 、C 、D 四块,现有4种不同的花供选种,要求在每块里种1种花,且相邻的2块种不同的花,则不同的种法总数为(B )A .96B .84C .60D .48 10.数学归纳法证明121*11(,1)1n n a a a an N a a++-++++=∈≠-,在验证1n =成立时,左边所得的项为( C )A. 1B. 1+aC. 21a a ++D. 231a a a +++11同时掷三颗骰子一次,设=A “三个点数都不相同”,=B “至少有一个6点”则)|(A B P 为 (A )A.21 B. 9160 C. 185 D. 21691 12.已知函数=y )(x f 是定义在R 上的奇函数,且当)0,(-∞∈x 时不等式0)()('<+x xf x f 成立,若)3(33.03.0f a =,),3(log )3(log ππf b = )91(log )91(log 33f c =,则c b a ,,的大小关系是(C )A .c b a >>B .a b c >>C .c a b >>D .b c a >>二、填空题:本题共4个小题,每题5分,共20分,13.从1=1,1-4=-(1+2),1-4+9=1+2+3,1-4+9-16=-(1+2+3+4),…,推广到第n 个等式为_________)321()1()1(16941121n n n n ++++-=⋅-++-+-++14.已知函数)0(1)1(3)(223>+-+-=k k x k kx x f ,若)(x f 的单调减区间是 (0,4),则在曲线)(x f y =的切线中,斜率最小的切线方程是_______________1280x y +-=__. 15、下面几种推理是合情推理的是_123_____ (填写序号) ①由圆的性质类比得出球的有关性质;②由直角三角形、等腰三角形、等边三角形内角和是180°,归纳出所有三角形的内角和都是180;③四边形内角和是360,五边形内角和是540,由此得出凸多边形内角和是(2)180n -. 15已知函数)(x f 是定义在R 上的奇函数,0)1(=f ,0)()(2>-'xx f x f x )(0>x ,则不等式0)(2>x f x 的解集是 .()()1,01,-+∞16.在平面三角形中,若ABC ∆的三边长为,,a b c ,其内切圆半径为r ,有结论:ABC ∆的面积1()2S a b c r =++,类比该结论,则在空间四面体ABCD 中,若四个面的面积分别为1234,,,S S S S ,其内切球半径为R ,则有相应结论:____ ______.12341()3ABCD V S S S S R =⋅+++⋅三、解答题:本大题共6小题,共70分,解答应写出必要的文字说明、证明过程或演算步骤,答案写在答题卡上.17(本小题满分10分)2013年4月20日8时02分四川省雅安市芦山县(北纬30.3,东经103.0)发生7.0级地震。
试卷讲评教案(五篇范文)第一篇:试卷讲评教案一、教学目标1.知识目标:通过对典型错误剖析使学生对所学的知识加深认识、形成经验、达成数学思想方法的顿悟、提炼与升华;开拓解题思路,提高学生解题能力。
2.能力目标:利用小组合作交流等方式,使每个层次的学生都有所收获;通过变式拓展,强化思维训练,激励学生主动思考、积极探究,培养学生的创新意识。
3.情感目标:鼓励学生从不同的角度思考问题、解决问题,增进学生对所学知识的理解和学好数学的信心;通过小组合作,展示培养学生会想、会说的良好学习习惯,培养竞争意识。
二、教学重点与难点教学重点:通过对典型错误剖析,提高学生解题的策略,加深学生对知识的理解。
教学难点:掌握解题策略,灵活解决问题。
教学关键:找准出错的原因,关注建模过程中学生数学思想方法的应用。
(一)、试卷整体情况分析。
这张卷子的难易程度适中,涵盖的知识面比较全,多角度考察了同学们的知识掌握情况,大部分同学知识掌握情况非常好,当然也发现了存在的问题,分数乘除法的数量关系掌握不扎实,几何图形的从属关系不明确,小数计算取近似数等芳名的问题;从卷子上也发现咱们在某些知识点上的欠缺,以上是我们班这次考试的一个整体情况,下面请同学们反思自己试卷中存在的问题,自己解决不了的小组中进行讨论。
(二)、个人分析,组内研究出示活动要求:哪些题出错,原因是什么?要求学生对错题进行改正。
学生小组合作,教师巡视,了解错因。
(三)、全班交流,组间研究哪些题小组内解决不了或仍有困惑?举手示意。
其他小组给予解决。
要求学生小组讨论用红笔改正的错题。
(四)、综合练习,巩固提高1等底等高的圆柱和圆锥,它们的体积相差12.56立方分米,圆锥的体积是()立方分米。
补充:等底等高的圆柱和圆锥,它们的体积之和是12.56立方分米,圆锥的体积是()立方分米,圆柱的体积是()立方分米。
2、用一副三角板可以拼出105。
的角。
补充:用一副三角板可以画出()度的角。
2013—2014学年初一英语人教版新课标上学期期末试题含答案解析(答题时间:70分钟满分:100分)Ⅰ. 单项选择(每小题1分,共15分)( ) 1. It’s _______interesting book; ______book is also very useful.A. a; aB. an; aC. an; theD. a; the( ) 2. ______ is between July and September.A. OctoberB. AprilC. JuneD. August( ) 3. — Can you speak Japanese?—Sorry, I ______. But I can speak English very well.A. canB. can’tC. doD. don’t( ) 4. I like basketball ______ I can’t play it well.A. andB. orC. butD. so( ) 5. She is busy ______her homework.A. atB. inC. withD. for( ) 6. —_____does he like blue?—Because the color makes him happy.A. WhatB. WhenC. WhyD. How( ) 7. It’s time ________school.A. go toB. to goC. for goD. to go to( ) 8._____ for your letter.A. ThanksB. ThankC. To thankD. Thanking( ) 9. ______shirt is white.A. My brotherB. My brothersC. My brother’sD. My brothers’( ) 10. Now, middle school students often use the Internet ________ information about their lessons.A. getB. gettingC. to getD. gets( ) 11. There are _______of milk and _______ on the table.A. two glasses, a plate of strawberryB. two glass, a plate of strawberriesC. two glass, a plate of strawberryD. two glasses, a plate of strawberries( ) 12. —_______ you often ______ any sports?—Yes, I often ______ ping-pong with my parents.A. Are; do; play theB. Do; do; play theC. Do; do; playD. Are; do; play( ) 13. My mother asks me _______ to a party with her.A. goB. goingC. to goD. goes( ) 14. —________?—It’s Thursday.A. What is todayB. What day is it todayC. When is the magic showD. What’s the date today( ) 15. —What about having a cup of coffee after work?—Good idea!Let’s _______ at the café at five thirty.A. meetB. to meetC. meetingD. meetsⅡ. 完形填空(每小题1分,共10分)Hi! I’m Tom King. I’m 1 English. I live(居住) in London 2 my parents. I’m 12 years old. My birthday is on December third. I 3 China very much and I want to learn 4 . I 5 a friend to help me. My father and mother are English teachers, but they work in different 6 . I have a little sister. 7 name is Sally. My favorite 8 is chicken. 9 my sister doesn’t like it. I don’t like 10 subject. I only like soccer. Do you want to be my friend?( ) 1. A. an B. / C. a D. the( ) 2. A. by B. with C. for D. to( ) 3. A. have B. like C. don’t like D. go to( ) 4. A. words B. English C. Chinese D. pictures( ) 5. A. know B. needs C. have D. want( ) 6. A. schools B. libraries C. classes D. rooms( ) 7. A. Her B. She C. He D. His( ) 8. A. subject B. food C. vegetable D. fruit( ) 9. A. And B. So C. Or D. But( ) 10. A. some B. any C. same D. muchⅢ. 阅读理解(共30分)AMy name is Jim and I live in Canada. My mother is from Korea and my father is from France, so we speak three languages(语言) at home. I think languages are very interesting and I want to learn Portuguese and Chinese. But my favorite subject isn’t language. It’s math. I like history, too.I like sports, especially(尤其) soccer and basketball, because they’re relaxing. But I don’t have much time to play. I’m very busy from Monday to Friday. Saturdays and Sundays are great, because I can play sports, play computer games and watch TV.根据短文内容,选择最佳答案(每小题2分,共10分)( ) 1. Jim and his parents live in _______.A. KoreaB. FranceC. ChinaD. Canada( ) 2. Jim can speak _____ very well at home.A. FrenchB. ChineseC. PortugueseD. japanese( ) 3. Jim’s favorite subject is ______.A. languageB. mathC. historyD. Chinese( ) 4. Jim can play soccer on ______.A. Saturdays and SundaysB. Tuesdays and SundaysC. Thursdays and SundaysD. Mondays and Saturdays( ) 5. Jim thinks sports are _______.A. interestingB. greatC. relaxingD. difficultBThe English people like take-away food. The most popular food is fish and chips. They usually go to a fish and chip shop. They put the food in paper bags, and take it home or to their work place. At lunch time, many people eat take-away food in the park. Chinese take-aways are also very popular in England. People in the USA and Australia like Chinese take-away food, too.But the most popular food in the USA is fried chicken.根据短文内容判断正(T)误(F) (每小题1分,共10分)( ) 6. People in England like fish and chips.( ) 7. Fish and chips is the most popular food in China.( ) 8. The English people often go to a fish and chip shop.( ) 9. They put the food in paper bags.( ) 10. They take the food only to their work place.( ) 11. They never eat take-away food in the park.( ) 12. Chinese take-aways are popular in England.( ) 13. People in Australia don’t like Chinese take-away food.( ) 14. The most popular food in Australia is not mentioned.( ) 15. Fried chicken is the most popular food in the USA.CA man walks into a nice restaurant. He wears a nice coat. He asks a lot of delicious food. In the next two hours, he enjoys all the dishes. After that, he asks the head waiter to come.“The same time last year, I was(be 的过去式) here, but I w as poor at that time, so I couldn’t pay the bill. Some of the waiters threw (扔)me out of here.” The man says.The waiter says sorry to him.“What a pity! I am today the same as I was a year ago. Please do it again.”根据短文内容,补全句子(每小题2分,共10分)16. The person who walks into the restaurant________ a nice coat.17. He enjoys the________ dishes for two hours.18. He was________ so he could not pay the bill last year.19. The waiter says________ to the man.20. This time he still________ pay the bill.Ⅳ. 单词拼写(每小题1分,共10分)根据句意以及汉语提示,填写句中所缺单词1. Mary, this is my new ______(毛衣).2. How much is your ______(橡皮)?3. They are my ______(堂兄弟).4. Her room is very ______(整洁的).5. That question is very ______(困难的).6. Let’s play soccer ______(在……之后) school.7. The star eats ______(好).8. What’s the ______(价格) of the T-shirt?9. We have P.E. on ______(星期五).10. My favorite subject is ______(地理学).Ⅴ. 动词应用(每小题1分,共10分)用括号内所给动词的适当形式填空1. The boy _____(do) his homework in the evening.2. His uncle _____(have) five bats.3. Can you ______(come) to my home?4. Why not _____(eat) hamburgers for breakfast?5. He loves ______(go) to the party.6. The chicken needs ______(eat).7. My teacher often helps me ______(play) ping-pong.8. Thank you for ______(ask) me.9. Nice ______(meet) you, too.10. A set of keys ______(be) under the bed.Ⅵ. 完成句子(每空1分,共10分)1. 我的书和你的一样。
石家庄市2013~2014学年度第二学期期末考试试卷高二数学(理科答案)6分(Ⅱ)222()80(4241636)9.6()()()()40402060n ad bc K a b c d a c b d -⨯⨯-⨯===++++⨯⨯⨯ 由2(7.879)0.005P K ≥≈,所以有99.5%的把握认为“成绩与班级有关系”. …………………12分18. 解:(Ⅰ)由茎叶图可知:甲班有4人及格,乙班有5人及格,设事件“从每班10名同学中各抽取一人,至少有一人及格”为事件A . 则653()101010P A ⨯==⨯, 所以7()1()10P A P A =-=.…………4分 (Ⅱ)由题意可知X 的所有可能取值为0,1,2,3.…………5分2521062(0)1015C P X C ⨯===⨯;25221010465519(1)101045C P X C C ⨯⨯⨯==+=⨯⨯; 25221010645516(2)101045C P X C C ⨯⨯⨯==+=⨯⨯;2521044(3)1045C P X C ⨯===⨯.…………9分 所以X 的分布列为…………10分因此2191647()0123154545455E X =⨯+⨯+⨯+⨯=.…………12分 19. 解 (Ⅰ)a 2=5,a 3=7,a 4=9,猜想a n =2n +1. …………4分(Ⅱ)S n =n (3+2n +1)2=n 2+2n ,…………6分 使得2n n S >成立的最小正整数n =6. …………7分下证:n ≥6(n ∈N *)时都有2n >n 2+2n .①n =6时,26>62+2×6,即64>48成立;…………8分②假设n =k (k ≥6,k ∈N *)时,2k >k 2+2k 成立,那么2k +1=2·2k >2(k 2+2k )=k 2+2k +k 2+2k >k 2+2k +3+2k =(k +1)2+2(k +1),即n =k +1时,不等式成立; 由①、②可得,对于所有的n ≥6(n ∈N *)都有2n >n 2+2n 成立. …………12分20.解 (Ⅰ)根据题意知,(1)()(0)a x f x x x-'=>,…………2分 当0a <时,()f x 的单调递增区间为(1,+∞),单调递减区间为(0,1].…………4分(Ⅱ)∵(2)12a f '=-=,∴2a =-, ∴()2ln 23f x x x =-+-.∴32()(2)2g x x m x x =++-,∴2()3(24)2g x x m x '=++-.…………6分∵()g x 在区间(),2t 上总不是单调函数,且(0)2g '=-,∴()0(2)0g t g '<⎧⎨'>⎩…………8分 由题意知:对于任意的[]0,1t ∈,()0g t '<恒成立,∴(0)0(1)0(2)0g g g '<⎧⎪'<⎨⎪'>⎩…………10分∴9522m -<<-.…………12分21.解:(Ⅰ)由已知得1()(1)e (0)x f x f f x -''=-+,令1x =,得(1)(1)(0)1f f f ''=-+,即()01f =.…………2分又()(1)0ef f '=,所以(1)e f '=. 从而21()e 2x f x x x =-+.…………4分 (Ⅱ)由()()f x g x =得e x a x =-.令()e x h x x =-,则()e 1x h x '=-.…………6分由()0h x '=得0x =.所以当(1,0)x ∈-时,()0h x '<;当()0,2x ∈时,()0h x '>.∴()h x 在(-1,0)上单调递减,在(0,2)上单调递增.…………8分又()01h =,1(1)1eh -=+,()22e 2h =- 且()(1)2h h <-.…………10分∴两个图像恰有两个不同的交点时,实数a 的取值范围是1(1,1]e +.…………12分22.解析:(Ⅰ)证明:由已知条件,可得∠BAE =∠CAD.因为∠AEB 与∠ACB 是同弧上的圆周角,所以∠AEB =∠ACD.故△ABE ∽△ADC. …………5分(Ⅱ)因为△ABE ∽△ADC ,所以AB AE =AD AC,即AB·AC=AD·AE.又S =12AB·ACsin ∠BAC ,且S =12AD·AE, 故AB·ACsin ∠BAC =AD·AE.则sin ∠BAC =1,又∠BAC 为三角形内角,所以∠BAC =90°. …………10分23.坐标系与参数方程(I )由2cos 2sin x y ϕϕ=⎧⎨=⎩可得224x y +=,由4sin()3πρθ=+得24(sin cos cos sin )33ππρρθθ=+, 即22223x y y x +=+,整理得22(3)(1)4x y -+-=.…………5分 (II )圆1C 表示圆心在原点,半径为2的圆,圆2C 表示圆心为(3,1),半径为2的圆, 又圆2C 的圆心(3,1)在圆1C 上,由几何性质可知,两圆相交.…………10分24.不等式选讲解 (Ⅰ)由|21|1x <-得1211x <<--,解得01x <<.所以{}|01M x x <<=.…………5分(Ⅱ)由(Ⅰ)和a b M ∈,可知01a <<,01b <<.所以(1)()(1)(1)0ab a b a b >+-+=--.故1ab a b >++.…………10分。
遂宁市2012年下期2014级期末考试高职英语试题一、听力部分(20X1.5分=30分)二、单项选择 (15X1分=15分)21.Some girls help the rooms clean.A. keepB. to cleanC. doD. Water22. John went to London the morning of March 12th.A. inB. onC. atD. of23. My sister with her friends tomorrow if it .A. is going to hike; won ’t rainB. is going to hike; doesn ’t rainC. is about to hike; won ’t rainD. is well to hike; doesn ’t rain24. Look ! The old woman as well as her two sons at a street corner.A.is going to standB. standC. is standingD. are standing25.Did your father his friend on the 5th of October?A.meetsB. meetedC. metD. meet26. ----Must I finish the maths exercises before school is over?---- No, you . You can do it tomorrow.A. mustn’tB. may notC. needn’tD. can’t27. You go out to play in the cold day.A. had betterB. had not betterC. had better notD. not had better28. The students are looking forward the Dead Sea of China in this summer.A. to visitB. visitC. visitingD. to visiting29. This is the place we have ever visited before.A. thereB. whereC. /D. in which30. Don’t talk about such thing of you are not sure.A. whichB. asC. thatD. what31. He succeeded in the examination, made his father very happy.A. whichB. itC. thatD. what32. The girl, is singing a song under the tree, is Tom’s sister.A. thatB. whichC. whomD. who33. He still remembers the day he knew his best friend.A. thatB. whenC. whichD. where34. This is the house Chairman Mao lived and worked.A. whereB. whichC. thatD. when35. we all know, a day and night is 24 hours.A. WhichB. ThatC. /D. As二、完型填空(20X1.5分=30分)Many Chinese students find it difficult to learn English, but not Chinese, because Chinese is their mother language. In fact Chinese is much more difficult to36 than English.Still some students in other countries can speak Chinese very 37 . If you don’t see them, you will take to them in Chinese. What 38 them successful?“For me, conversation is the most helpful. I try to speak in39 . If you only listen to what others speak , you will be good at 40 , but if you talk as much as you can, you will find you can speak 41 ,” says Jenny Brown, an English girl now 42 Chinese at Beijing University. 43 is interested in Chinese and its history. She thinks that to learn a language, one must try to know 44 about the country.Chinese is different from English, 45 we can use the same way in learning it. It is conversation.36. A. talk B. say C. learn D. know37. A. well B. good C. bad D. badly38. A. makes B. make C. let D. lets39. A. English B. Japan C. French D. Chinese40. A. listen B. talk C. listening D. talking41. A. good English B. good Chinese C. bad English D. Bad Chinese42. A. picking up B. catching up C. studying D. teaching43. A. He B. She C. Her D. His44. A. something B. anything C. nothing D. everything45. A. so B. and C. also D. butBMarc sat next to me when we were in Hill Junior School. He had a serious 46in communicating with people. One always had to guess what he was saying. 47 most of my classmates did not like to be with him because his hands and shirts were always 48 . I tried to let him know the importance of being clean by 49 him several times a day to wash his hands. But he just could not understand.One day, our teacher Miss West walked up to Marc. 50 saying anything, she took Marc to the washroom. Slowly, Miss West washed his 51 and told him that he should keep himself clean. She did that every day for one month. 52 , Marc understood.Miss West’s love has given me a good example to follow when I53 my job. I always remember to teach my students by showing them the right 54 to do things. And most important of all, I always remember to give them 55 to learn and to grow up46. A. question B. problem C. accident D. hobby47. A. Instead B. However C. Besides D. Except48. A. dirty B. clean C. new D. old49. A. talking B. saying C. speaking D. telling50. A. With B. Without C. After D. Above51. A. face B. feet C. shirts D. hands52. A. At last B. At first C. Such as D. So far53. A. did B. am doing C. have done D. am going to do54. A. ways B. answers C. time D. food55. A. more advice B. less advice C. more time D. less time四、阅读理解AThere was once a man called Mr. Flowers, and flowers were his only joy in life. He spent all his free time in one of his four glass-houses and grew flowers of every color, with long and difficult names, for competitions (比赛). He tried to grow a rose of a new color to win the silver cup (银杯) for the Rose of the Year.Mr. Flowers’ glass-houses were very near to a middle school. Boys of around thirteen of age were often tempted (引诱) to throw a stone or two at one of Mr. Flowers’ glass-houses. So Mr. Flowers did his best to be in or near his glass-houses at the beginning and end of the school day.But it was not always possible to be on watch at those times. Mr. Flowers had tried in many ways to protect his glass, but nothing that he had done had been useful. He had been to school to report to the headmaster; but this had not done any good. Hehad tried to drive away the boys that threw stones into his garden; but the boys could run faster than he could, and they laughed at him from far away. He had even picked up all the stones that he could find around his garden, so that the boys would have nothing to throw; but they soon found others.At last Mr. Flowers had a good idea. He put up a large notice (布告) made of good, strong wood, some meters away from the glass-houses. On it he had written the words: DO NOT THROW STONES AT THIS NOTICE. After this, Mr. Flowers had no further trouble; the boys were much more tempted to throw stones at the notice than at the glass-houses.56. It was Mr. Flowers’ hope to ________.A. build glass-houses in his free timeB. grow the Rose of the Year in a silver cupC. win a silver cup for growing a rose of a new colorD. grow a rose with the longest name57. Boys were often tempted to ________.A. throw stones at Mr. Flowers’ glass-houseB. throw stones at Mr. Flowers from their schoolC. be in or near by Mr. Flowers’ glass-housesD. play with Mr. Flowers near his glass-houses58. Mr. Flowers stayed in or near by his glass-houses _______.A. at times when school-boys were walking near themB. all the school day when there were no boys aboutC. where he could not be seen by the boys passingD. in his free time at the beginning and end of the school day59. Mr. Flowers had tried to ______ to protect his glass.A. be on watch in his free timeB. ask the headmaster for helpC. pick up all the stones around his gardenD. do all the above60. Mr. Flowers’ good idea was to ______.A. write some words on the glassB. put up a large notice to cover his glass-housesC. give the boys something else to throw stones atD. send for policemenBIn a small village in England about 150 years ago, a mail coach (邮车) was standing on the street. Around the coach many people were talking to one another about it.Mail coach did not come to that village so often in those days. People had to pay a lot of money to get a letter. The person who sent the letter did not have to pay. The person who got the letter had to pay the postage (邮资).“Here’s a letter for Miss Alice Brown,” said the mailman. Everyone turned to a girl of about eighteen who was standing by the coach. “I’m Alice Brown,” she said in a low voice. The mailman gave her the letter.Alice looked at the envelope(信封)for a minute, and then handed it back to the mailman.“I’m sorry I can’t take it,” she said. “I don’t have enough money to pay thepostage.”The people standing around were very sorry for the girl. They were silent for a while. Then a gentleman came up to the mailman and paid the postage for Alice’s letter.When the gentleman gave her the letter, she said with a smile, “Oh, thank you very much, sir. This letter is from the young man I’m going to marry. His name is Tom. He went to London to look for work. He has to get enough money for our marriage (结婚). I’ve waited a long time for this letter, but now don’t need it. I don’t have to open the envelope b ecause there is nothing inside.”“Really?” the gentleman said in surprise. “How do you know that?” “He told me that he would put some signs on the envelope. Look, sir, this cross in the corner means that he is well, and this circle means he has found wor k. That’s very good news.”The gentleman was Sir Rowland Hill. He did not forget Alice and her letter.“The postage to be paid by the receiver has to be changed,” he said to himself. He thought and thought for many years. At last he had a good plan.“The postage has to be much lower,” he said. “What about a penny (便士) for a letter? And the person who sends the letter pays the postage. He has to buy a stamp and put it on the envelope.”“A good idea!” people said when they heard of his plan.The Government decided to adopt (采纳) the plan. The first postage stamp was put out in 1840. It was called the “Penny Black”. It had a picture of the Queen on it.61.The first postage stamp was made ________.A. in EnglandB. in AmericaC. by AliceD. in 191062.The girl handed the letter back to the mailman because ______.A. she did not know whose letter it wasB. the letter had already told her what she wanted to knowC. she could not pay the postageD. the gentleman promised to pay the postage for her63.When the girl returned the letter to the mailman _____.A. the people around her felt sorry for herB. the people thought that the girl was too poorC. none of them wanted to pay the postage for herD. the people was angry with the girl64.Alice knew how Tom was getting from the signs on the envelope because ______.A. Tom had told her what the signs meant before leaving for LondonB. Alice was clever and could guess the meaning of the signsC. Alice had put the signs on the envelope herselfD. Tom had put the signs as Alice had told him to65.The idea of using stamps was found by ______.A. the governmentB. Sir Rowland HillC. Alice BrownD. TomANNOUNCEMENTS(1) HOUSE FOR SALE. Comfortable family home with a large garden on north side of town. Three bedrooms, living-room, kitchens, dining-room, bathroom. Offers over $35,000(2) ASSISTANT WANTED FOR BUSY RESTAURANT.Some evening and weekend work. All meals free.Ring 3320178(3) JOIN OUR FOOTBALL TEAM. Boys and girls wanted to play in local football team. Aged 9—13 Meets in Green Park on Friday at 3 p.m.(4) ROOM TO RENT(出租).Small room to rent in city center flat(公寓)above restaurant. Newly painted with modern furniture. Near main railway station. Buses pass front door. Phone 3322108Mr. Brown wants to live near his workplace. Mrs. Brown wants a house with four bedrooms. The Browns’ children don't care what t he house is like as long as the garden is big enough. Ann, their daughter has always wanted to work in a restaurant. She thinks it is an exciting place. It's hard work but she isn’t lazy. You have to work on Saturdays and Sundays, but you get other days of f. It’s not very well paid. But who cares about money?Tom is a middle school student. He is twelve years old. He stops school at half past three,so he has plenty of time to finish his homework.Jack, Mr. Brown's brother, is looking for a room to rent. He doesn't care what color the walls are or how old the furniture is. He is getting ready for his drawing. So the house must be quiet.66.Why didn't the Browns buy the house in Advertisement One?A. It was on the north side of town.B. There weren’t en ough bedrooms.C. There was no dining room.D. The garden was too big.67.Why does Ann want to get the job in the restaurant?A. It’s an easy job.B. The place is good and the food is free.C. She thinks it will be interesting.D. She can get long holidays.68.Why can't Tom play for the new football team ?A. He's not old enough.B. It’s in a different village.C. School stops too late.D. He has to do his homework.69.What's wrong with the room for Jack in Advertisement Four?A. It's too small.B. The walls are the wrong color.C. The man likes old furniture better.D. It's too noisy.70.What does the sentence “All meals free” mean?A. Assistants can have the meals at any time.B. Assistants can have the meals in the restaurant without paying money.C. Customers(顾客)can have the meals freely.D. Assistants need to pay for their meals.The law says that women should have the chance of doing the same jobs as men and earn the same as them.The reality is very different. Women lose because, 25 years after the Equal Pay Act, many of them still get paid less than men.They lose because they do lower-paid jobs which men just won’t consider. And they lose they are the ones who interrupt a career to have children.All this is reported in an independent study ordered by the Government’s women’s unite.The biggest proble m isn’t equal pay in work places such as factories. It is a sort of work women do.Make a list of low-paid of jobs_ then consider who does them.Try nurses, secretaries, cleaner, clerks, teachers in primary schools, dinner ladies, and child care helpers. Not a lot of men among that group, are there?Yet some of those jobs are really important. Surely no one would deny that about nurses and teachers, for a start.So why do we reward the people who do them so poorly? There can be only one answer--- because they are women.This is not going to be put right overnight. But the Government, which employs a lot of them,, and other bosses have to make a start.It is disgraceful(可耻的) that we have gone into the 21st Century still treating women like second-class citizens.71. Women should have the chance of doing the same jobs and be paid equally as men .A. after 25 yearsB. according to the lawC. as a result of the Equal Pay ActD. because women are as strong as men72. We can learn from the text what the problem really matters is ____.A. that the women interrupt a career to have childrenB. what sort of work women doC. because they are womenD. what an unfair pay women get in workplaces.73. Which of the followi ng best describes the writer’s idea?A. Women should get equal pay for equal work to that of men.B. Women should strengthen加强themselves.C. The Government ought to protect women against getting paid less than men.D. Some of the jobs that women do are of great importance.74. When the writer says “This is not going to be put right overnight”, he means ____.A. we must solve the problem very quickly.B. there is not completely fair thing all over the world.C. we need a long time to change the unfair reality.D. the problem that women lose will be solved soon.75. Which do you think would be the best title for this passage?A. Work to give women a fair pay deal.B. Time to change the situation.C. Equal work, equal pay.D. Should women be treated like second-class citizens?。
七年级英语上海牛津版(2012教材)上学期期末试卷含答案考试时间:90分钟,满分100分一、单项选择。
(每小题1分,计15分)( ) 1. It me two hours to finish my homework yesterday.A. takesB. tookC. takedD. take( ) 2. There more people in the future.A. will haveB. beC. will beD. are( ) 3. Please give this letter. It’s .A. I, mineB. him, hisC. Maria, herD. you, your( ) 4. — How do you usually go to school? — I usually go to school .A.on busB. on feetC. by footD. on foot( ) 5. If you don’t know the word, you can ___ in a dictionary.A. look it upB. look up itC. look it outD. look out it( ) 6. I don’t know _____ next.A. what to doB. what can I doC. how to doD. how can I do( ) 7. Look! It’s raining ____ outside. You’d better stay at home.A. heavilyB. heavyC. stronglyD. strong( ) 8. My sister often after class.A. play the pianoB. plays the basketballC. plays the pianoD. play basketball ( ) 9. Daniel is ______ his purse, but he can’t ______ it.A. looking for, findB. finding, findC. finding, look forD. looking for, look for ( ) 10. I’d like fish. But I don’t like meat.A.any, anyB. some, anyC. some, someD. any, some ( ) 11. Would you like to watch the show with me in the theatre?A. to goingB. goingC. to goD. go( ) 12. There some meat and some apples on the table.A. isB. areC. wereD. be( ) 13. I usually get up ten past six in the morning.A. onB. inC. atD. under( ) 14. —Can you speak English? —Yes, but only _______.A. fewB. a fewC. littleD. a little( ) 15. —do you go to the shop? — Three times a week.A. How manyB. How oftenC. What timeD. Where二、完形填空。
云南师范大学2013—2014学年学生综合素质测评评选结果公示云南师范大学2013—2014学年学生综合素质测评工作,严格按照《关于新学期相关工作安排的通知》和《云南师范大学本科学生综合素质测评体系》(修订)的相关要求组织实施,现已圆满结束。
各学院在做好学生个人综合素质测评的基础上,认真组织初评,并经学生工作部(处)评审,共评选出我校2013—2014学年学生“先进班集体”77个、“先进个人”3609人次、“校长奖学金”3人、西南联大奖学金3人,朱德祥奖学金37人,“马如瑛、李凌奖学金”3人,德育标兵92人。
现将评选结果张榜公布,如有异议,请于2014年12月9日前与学生工作部(处)管理科联系(电话:65911671)。
附:2013—2014学年学生“先进班集体”、“先进个人”、“校长奖学金”、“西南联大奖学金”、“朱德祥奖学金”、“马如瑛、李凌奖学金”、“德育标兵”评选结果学生工作部(处)二〇一四年十二月二日云南师范大学2013-2014学年学生“先进集体”、“先进个人”名单一、先进班集体(77个)教育科学与管理学院:12学前教育A班12学前教育B班12教育学13学前教育C班哲学与政法学院:12法学A 班12法学B班12社会学班13法学班(纪检)13思想政治教育A班文学院:12汉语言文学B班12汉语言文学C班12汉语言文学E班13汉语言文学C班13文化产业管理班历史与行政学院:12人文教育班13历史A班13行政管理班13劳动与社会保障班外国语学院:旅游英语12级B班英语教育13级2班英语教育13级3班英语教育13级5班体育学院:13级体育教育A班13级民族传统体育班13级运动训练班13级体育教育C班艺术学院:2011级音乐表演2012级艺术设计2013级音乐学2011级音乐学2012美术学2012级音乐表演2013级艺术教育2011美术学国际学院:高尔夫13-C班数学学院:2013级A班2013级C班2013级统计学班物理与电子信息学院:12级电子班12级物理C班13级物理A班13级物理C班信息学院:12计算机科学与技术C班12教育技术学D班13教育技术学D班11教育技术学D班化学化工学院:12A班12制药12C班生命科学学院:12生物科学B班13生物科学C班12应用生物教育A班13生物技术专业旅游与地理科学学院:12级地理科学A班13级地理科学A班13级地理科学B班13级人文地理与城乡规划经济与管理学院:12会计学A班12金融学A班12财政学13会计学B班能源与环境科学学院:13级农建A班13级农建B班华文、国语学院:11国际经济与贸易C班 12对外汉语班12国际经济与贸易班 12金融班12泰语班(华文) 13缅甸语班(国语)职业技术教育学院:12文秘教育 13文秘教育13小教体育专升本 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院:顾莉和丽祥何培勤唐琳魏格欣杨冬青罗贤之段姝娟熊晓茂李天祥尹飞雪马雪平刘琳姚建丽杨熙苏俊情李建美杨嘉燕达莹晶刘潇付朝燕李艳琳张祥邓晰元李凯利昆玥希潘舒婷付春莲唐吟霜涂晓雨任小琴王莉樊恩林赵文菲邵芳董丽华赵映卓罗仕梅龙文伟王旭昆张嫣翟妤晴覃国燕白文宇高筱乐程晶杨玲玲毛仁母孔瑶赵浩羽哲学与政法学院:陈林万里江蒋铸斌李玥林朱莉寸婕李俊芝李娅娟杨善位杨王波王先历俞瑞敏黄会珍曹阳周秀王怡青胡舰心应雯雯徐敏慧吴化举霍江辉何盈婷陈椿桦尹春愿黄娜肖珍黄李梅董雪陈利祥颜建美王鹏程陈怡然杨四倩周愿垚刘姗李顺云尹秋容徐悦马娇飞红兵赵永贤罗永斌华静王洁田皓宇张弛马艺源冯秋萍褚梦洁杨艳伟汪静普通黄斯琪余秋荣朱琳黄玉张立丽陈燕杜德敏文学院:宁晨凯武惠左林春龚菲菲米美琼余伟金山李梦瑶赵晓蕾朱苏楠石磊杨小翠黄艳芬白芳侯冬梅王婵周悦魏佳瑶吴玲玲马倩李娟秦凤林杨凡陈蓉韩晶崔庆会赵家贵王馨翌许朝艳胡云理邱瑞雪何齐刘文母崇铭薛俐易竞董嫣红任春蓉李新涛谭雅文马嫣赢赵克梅钟雪萌林小异刘青芮刘倩汪艳朱亚楠赵柳萍钱慧萍张敬诚张雪夏秋源夏应飞张歆涓季雅娴李本才朱超钟慧娟朱紫蔚普建玲栾勋周璐历史与行政学院:陈思琪杨丽萍胡雪燕廖镇溆彭学强孙再军向永斌余俊颖张凤仙冯媛媛何议代龙蕊贺伟周天琴蒙杨王婷婷范文钦尹国姣张仁秀翟皓丁福建杨慧芳张志江张樱凡包雯娟张雪莲仇志云张媛杨再鹏陈丽娟赵观顺华振媛杨成莲杨佳丽刘建坤杨涛董灵江李调芬李艳萍王恒张湘梅贺德菲苏梦佳王邦粉张绍蓉邬玫婧外国语学院:王琛云黄文静李慧玲苏珊董志成孙晓婷杨蕊杨赫怡田京。
期末检测题参考答案1.A 解析:本题主要考查两圆的位置关系.2.A 解析:根据锐角三角函数的变化规律,知sin 的值越大,∠越大,梯子越陡. 故选A .3.B 解析:∵ 为等腰直角三角形的一个锐角,∴,∴ cos =4.B 解析:方法1:设1x 和2x 是方程22870x x -+=的两个根, ∵∴,∴∴ 这个直角三角形的斜边长是3,故选B.方法2:设1x 和2x 是方程22870x x -+=的两个根,由一元二次方程根与系数的关系可得⎪⎩⎪⎨⎧==+,,2742121x x x x ∴ 22221212127()24292x x x x x x +=+-=-⨯=, ∴ 这个直角三角形的斜边长是3,故选B. 5.B6.A 解析:①∵ 2>0,∴ 图象的开口向上,故①错误; ②图象的对称轴为直线=3,故②错误; ③其图象顶点坐标为(3,1),故③错误;④当<3时,的值随值的增大而减小,故④正确. 综上所述,说法正确的有1个. 7.B 解析:绝对值小于的卡片有三种,故所求概率为3193=. 8.D 解析:连掷两次骰子出现的点数情况,共36种:(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).而点数都是4的只有(4,4)1种.故所求概率为.9.A 解析:过点因为130AB C =∠=,°,所以O ⊙的直径为,所以O ⊙的内接正方形的边长为10.D 解析:.11.144° 解析:根据题意得: 总人数是26÷52%=50,所以乘公交车上学的学生人数在扇形统计图中对应的圆心角的度数为360°×2050=144°. 12.6或10或12 解析:解方程2680x x -+=,得14x =,22x =.∴ 三角形的每条边的长可以为2,2,2或2,4,4或4,4,4(2,2,4不能构成三角形,故舍去),∴ 三角形的周长是6或10或12. 13. 解析:由题意得解得∴∴ 当时,14. 解析:∵ P (偶数)=,P (奇数)=,∴ P (偶数)<P (奇数). 15.34解析:四条线段组成三角形三边有四种情况:.其中不能组成三角形,所以从中任取三条线段能组成三角形的概率是34. 16. 解析:,所以∠∠=.17.5π42- 解析:由图可知阴影部分的面积半圆的面积半圆的面积Rt ABC △的面积,所以πππ.18.2π 解析:由勾股定理知所以1S +2S=ππ19.解:原式====.20.解:将整理得.因为抛物线向左平移2个单位,再向下平移1个单位得,所以将向右平移2个单位,再向上平移1个单位即得,故,所以.21.分析:日利润=日销售量×每件利润,设售价定为元,每件利润为元,销售量为[件,据此得关系式.解:设售价定为元.由题意得,,∵,∴当时,有最大值360.答:将售价定为14元时,才能使每天所赚的利润最大,最大利润是360元.22.解:设轿车的速度为每小时千米,则=千米.又=3,==0.1千米,∴+0.1=0.1×3.解得87.6.此车超过了每小时80千米的限制速度.23.(1)证明:连接则∠∠.因为∥,所以∠∠,所以∠,所以是⊙O的切线(2)解:因为∠,∠,所以∠延长,交于点连接∠在Rt△,∠,所以所以⊙O的半径为24.证明:(1)由同弧所对的圆周角相等,知∠∠. ∵,,∴ ∠∠∠∠,∴ ∠∠,∴ ∠∠. 又∵,, ∴ △≌△. ∴.(2)∵ ,∴.∵,∴ ∠, ∴ ∠∠.由勾股定理,得 又∵, ∴,∴, ∴.25.解:此游戏规则对双方不公平.理由如下: 树状图如下:第25题图 或列表如下:∴,.∴ 此游戏规则对双方不公平,小亮赢. 26.解:由左图可知:BE ⊥DC , m ,.在Rt △BEC 中,)(506.030sin sin m BE BC BC BE ===∴=αα, (m ). 开始红 红 黄 蓝红 红 黄 蓝 红 红 黄 蓝 红 红 黄 蓝 红红 黄 蓝由勾股定理得, m.在不改变土石方量,全部充分利用原有土石方的前提下进行坡面改造,使坡度变小,则梯形的面积=梯形的面积.1202120204030213020EC ⋅⨯+⨯=⨯⨯+⨯∴,解得=80(m ).∴ 改造后坡面的坡度i B 1E.。
初2014级2012—2013学年度下期期末综合能力训练(二) 数 学 试 卷 (全卷共五个大题,满分150分,考试时间120分钟)一、选择题(每小题4分,共48分) 1.下列运算正确的是( ) A .yx y yx y --=-- B .3232=++yx y xC .y x yx y x +=++22 D .yx y x x y -=-+1222.下列调查中,适宜采用抽样调查方式的是( ) A .调查我市中学生每天体育锻炼的时间 B .调查某班学生对“五个重庆”的知晓率 C .调查一架“歼20”隐形战机各零部件的质量D .调查广州亚运会100米决赛参赛运动员兴奋剂的使用情况 3.将方程2410x x ++=配方后得到的形式是( )A .()223x += B .()243x += C .()243x +=- D .()225x +=- 4.下列因式分解中,结果正确的是( )A .()23222824m n n n m n-=- B .()()()21213x x x --=--C .()()25632y y y y --=-+ D .()22693ax ax a a x -+=-5. 若a b >,且c 为有理数,则下列各式正确的是( ) A .ac bc >B .ac bc <C .22ac bc <D .22ac bc ≥6.不解方程,判断方程01312112=-++--xx x 的解是( )A 0B 1C 2D 3 7.若△ABC ∽△A ′B ′C ′,∠A=40°,∠C=110°,则∠B ′等于( ) A .30° B .50°C .40°D .70°8.如图:在△ABC 中,DE ∥AC , 则DE :AC=( ) A .8:3 B .3:8 C .8:5 D .5:89.A 、B 两地相距48千米,一艘轮船从A 地顺流航行至B 地,又立即从B 地逆流返回A 地,共用去9小时,已知水流速度为4千米/时,若设该轮船在静水中的速度为x 千米/时,则可列方程( ) A 、9448448=-++x x B 、9448448=-++xxC9448=+xD9496496=-++x x10. 2013年4月20日08时02分在四川雅安芦山县发生7.0级地震,人民生命财产遭受重大损失.某部队接到上级命令,乘车前往灾区救援,前进一段路程后,由于道路受阻,车辆无法通行,通过短暂休整后决定步行前往.则能反映部队与灾区的距离s (千米)与时间t(小时)之间函数关系的大致图ABCDE(8题图)象是( )11.用边长相等的黑色正三角形与白色正六边形镶嵌图案,按图①②③所示的规律依次下去,则第10个图案中,所包含的黑色正三角形是( )① ② ③A .36B .38C .40 12.如图,在直角坐标系中,有菱形OABC ,A 点的坐标为(10,0),双曲线xk y =(0>x )经过C 点,且OB ·AC =160,则k 的值为( )A .40B .48C .64D .8 二、填空题(每小题4分,共24分) 13.若分式121-x 有意义,则x 的取值范围是 。
14.分解因式:322x x x -+= .15.关于x 的方程042=+-mx x 有两个相等实根,则m = . 16.如图,在A 时测得某树的影长为4米,B 时又测得该树的影长为9米,若两次日照的光线互相垂直,则树的高度为 米. 17.若关于x 的方程111612+=---x x x k 有增根,则k = .18.采购员用一张1万元的支票去购物,购单价为590元的A 种物品若干件,又购单价为670元的B 种物品若干件,其中B 的件数多于A 的件数,找回了几张100元和几张10元的钞票,(10元的张数不超过9张),如果把购A 种物品和B 种物品的件数互换,找回的100元和10元的钞票张数也恰好相反,则原来购B 种物品为 件。
三、解答题(每小题7分,共14分) 19.解下列方程:244170x x +-=A 时B 时16题图20.如图,在平面直角坐标系中,△ABC的三个顶点的坐标分别为A(0,1),B(– 1,1),C(– 1,3).(1) 画出△ABC关于x轴对称的△A1B1C1;(2) 画出△ABC以O为位似中心,位似比为1:2的位似△A2B2C2;(3) C1的坐标为,C2的坐标为,四、解答题(本大题4个小题,每小题10分,共40分)解答时每小题必须给出必要的演算过程或推理步骤.21.先化简,再求值:2212211211x x xxx x x--⎛⎫-÷--⎪+-+⎝⎭,其中012=-+xx.22.某蔬菜店第一次用800元购进某种蔬菜,由于销售状况良好,该店又用1400元第二次购进该品种蔬菜,所购数量是第一次购进数量的2倍,但进货价每千克少了0.5元.(1)第一次所购该蔬菜的进货价是每千克多少元?(2)蔬菜店在销售中,如果两次售价均相同,第一次购进的蔬菜有3% 的损耗,第二次购进的蔬菜有5% 的损耗,若该蔬菜店售完这些蔬菜获利不低于1244元,则该蔬菜每千克售价至少为多少元?23.某校九年级为了解学生课堂发言情况,随机抽取该年级部分学生,对他们某天在课堂上发言的次数进行了统计,其结果如下表,并绘制了如图所示的两幅不完整的统计图,已知B 、E 两组发言的人数比为10:3,请结合图中相关数据回答下列问题:(1) A 组有 人,C 组有 人,E 组有 人,并补全直方图; (2) 该年级共有学生600人,请估计全年级在这天发言次数不少于20的人数;(3) 已知A 组发言的学生中恰有一位女生,E 组发言的学生中恰有两位男生,现从A 组与E 组中分别..抽一位学生写报告,求所抽的两位学生至多有一位男生的概率.24.已知,矩形ABCD 中,延长BC 至E ,使BE = BD ,F 为DE 的中点,连结AF 、CF .(1) 若AB = 3,AD = 4,求CF 的长; (2) 求证:∠ADB = 2∠DAF .五、解答题:(每题12分,共24分) 25. 如图,已知点A(2,4)在反比例函数(0)k y x x=>的图象S 1上,将双曲线S 1沿y 轴翻折后得到的是反比例函数k y x=-的图象S 2,直线AB 交y 轴于点B(0,3),交x 轴于点C ,P 为线段BC 上的一个动点(点P 与B 、C 不重合),过P 作x 轴的垂线与双曲线S 2在第二象限相交于点E . (1)求双曲线S 2和直线AB 的解析式.(2)设点P 的横坐标为m ,线段PE 的长为h ,求h 与m 之间的函数关系,并写出自变量m 的取值范围. (3)在线段BC 上是否存在点P ,使得P 、E 、A 为顶点的三角形与BOC ∆相似?若存在,请求出点P 的坐标;若不存在,请说明理由.A B26.如图,在直角梯形ABCD 中,AD ∥BC ,90B ∠=︒, 6AD =, 8BC =,AB =点M 是BC的中点.点P 从点M 出发沿MB 以每秒1个单位长的速度向点B 匀速运动,到达点B 后立刻以原速度沿BM 返回;点Q 从点M 出发以每秒1个单位长的速度在射线MC 上匀速运动.在点P 、Q 的运动过程中,以PQ 为边作等边三角形EPQ ,使它与梯形ABCD 在射线BC 的同侧.点P 、Q 同时出发,当点P 返回到点M 时停止运动,点Q 也随之停止.设点P 、Q 运动的时间是t 秒(0t >). (1)设PQ 的长为y ,在点P 从点M 向点B 运动的过程中,写出y 与t 之间的函数关系式(不必写t 的取值范围);(2)当 1BP =时,求EPQ △与梯形ABCD 重叠部分的面积;(3)随着时间t 的变化,线段AD 会有一部分被EPQ △覆盖,被覆盖线段的长度在某个时刻会达到最大值,请回答:该最大值能否持续一个时段?若能,直接写出t 的取值范围;若不能,请说明理由.AB解:(1)y = 2t ;(2)当BP = 1时,有两种情形:①如图6,若点P 从点M 向点B 运动,有 MB = BC 21= 4,MP = MQ = 3,∴PQ = 6.连接EM ,∵△EPQ 是等边三角形,∴EM ⊥PQ .∴33=EM . ∵AB = 33,∴点E 在AD 上.∴△EPQ 与梯形ABCD 重叠部分就是△EPQ ,其面积为39.②若点P 从点B 向点M 运动,由题意得 5=t .PQ = BM + M Q -BP = 8,PC = 7.设PE 与AD 交于点F ,Q E 与AD 或AD 的延长线交于点G ,过点P 作PH ⊥AD 于点H ,则HP = 33,AH = 1.在Rt △HPF 中,∠HPF = 30°,∴HF = 3,PF = 6.∴FG = FE = 2.又∵FD = 2,∴点G 与点D 重合,7.此时△EPQ 与梯形ABCD 的重叠部分就是梯形FPCG ,其面积为3227.(3)能.4≤t ≤5.图7图6。