湖南中考英语试题

不同地区的考试题型都不一样，你要什么地区的啊？

08年 ：上海卷2008年上海市初中毕业生统一学业考试英语试卷（满分150分，考试时间100分钟）考生注意：本卷有10大题，共110小题。试题均采用连续编号，所有答案务必按照规定在答题纸上完成，做在试卷上不给分。Part 2 Vocabulary and Grammar (第二部分 词汇和语法)V. Choose the best answer (选择最恰当的答案): (共20分)31. Some girls get sick after they try so hard to lose ________ weight.A) a B) the C) / D) an32. The plane will take off ________ an hour. Please check in right now.A) at B) in C) on D) to33. Did Mary visit that old town by ________ last week?A) her B) she C) hers D) herself 34. After moving to their new house, the Lees bought some ________ in the mall nearby. A) furniture B) chair C) table D) shelf35. ________ her great joy, her daughter was finally saved by the doctors. A) In B) To C) At D) For36. “Have ________ try, you are so close to the answer,” the teacher said to Eric. A) the other B) one another C) other D) another 37. Everyone likes Kevin because he talks to others ________.A) friendly B) lovely C) politely D) luckily38. Jenny goes to school ________ than any other student in her class. A) early B) earlier C) earliest D) the earliest39. Which one is heavier, the wooden ball ________ the iron ball? A) or B) and C) but D) so40. Tim didn’t have dinner ________ he finished watching the cartoon. A) while B) unless C) until D) since41. Landing on the moon sounds ________. I hope I can go there one day.A) wonderful B) wonderfully C) terrible D) terribly42. Soon you ________ a senior high school student. Isn’t it exciting!A) become B) will become C) became D) have become43. I ________ a copy of Yi Zhongtian’s book yet. I might buy one tomorrow.A) hadn’t bought B) don’t buy C) won’t buy D) haven’t bought44. You ________ write the poem down. Our teacher will give us a copy.A) can’t B) shouldn’t C) needn’t D) mustn’t45. – Would you like to play table tennis with me?– I don’t feel like it. I would rather ________ at home and watch TV. A) stay B) to stay C) staying D) stayed46. After Donghai Bridge ________, it became a new tourist attraction. A) completed B) complete C) is completed D) was completed47. How long can I ________ this magazine?A) borrow B) return C) buy D) keep48. As soon as he ________ the bus, the poor man realized he had left his wallet on it.A) got on B) got off C) got to D) got in49. The Oriental Pearl TV Tower is ________ all Shanghai citizens.A) famous for B) familiar to C) pleased with D) interested in50. – I won the 100-meter race on our sports day.– ________ We are proud of you!A) That’s all right. B) Sorry to hear that. C) Congratulations. D) I’d love to.VI. Choose the word or expression which is closest in meaning to the underlined part in each sentence（选择与下列各句中划线部分内容意思相近的单词或短语，用A、B、C、D 等表示): (共8分)A) shakes … hand B) does … a favour C) apologized D) decided E) take place51. She said sorry to Mike for taking his paper home by mistake.52. The English party will be held three days before Christmas.53. Her friend always gives her a hand whenever she is in trouble.54. Nancy has made up her mind to work in the mountain area.A) boring B) is delicious C) don’t know D) wonder E) again55. Mm… the soup tastes very nice! How did you make it?56. Sorry, I didn’t hear you clearly. Could you say it once more?57. – Do you feel it dull to take a walk for an hour every morning? – Not at all. It’s very good exercise.58. – How many parents will attend the Open Day in our school?– I have no idea.VII. Complete the sentences with the given words in their proper forms（用括号中所给单词 的适当形式完成下列句子): (共8分)59. Billy looks upset. What happened to ________? (he)60. It is said that eight ________ of water a day can help you keep fit. (glass)61. Linton is interested in Chinese history and this is his ________ visit to Beijing. (four)62. Don’t throw the old watch away. It is still ________. (use)63. Fishing is one of my ________ outdoor activities. (favour)64. Grandpa is going to ________ his house and live with us. (sale)65. Nowadays too many boys want to become ________. (act)66. Mary is good at writing. She will ________ be a reporter in the future. (possible)VIII. Rewrite the following sentences as required（根据所给要求，改写下列句子。每空格限填一词): (共10分)67. Susan has her piano lesson on Saturday afternoon. (改为一般疑问句) ________ Susan ________ her piano lesson on Saturday afternoon?68. That new blue car is my father’s. (对划线部分提问)________ ________ is your father’s?69. The new housing estate in the city center is very expensive.（改为感叹句） ________ _______ the new housing estate in the city center is !70. Why don’t the twins look the same as each other? (保持句意基本不变)Why do the twins look ________ ________ each other? 71. What would Bob like to be in the future? Bob hasn’t told his friends yet.（合并句子） Bob hasn’t told his friends ________ ________ would like to be in the future.Part 3 Reading and Writing (第三部分 读写)IX. Reading comprehension (阅读理解): (共58分)A. Complete the following dialogue with proper sentences in the box (选出适当的句子完成下列对话): ( 6分)A) Certainly. B) Can I help you?C) You’re welcome. D) When can I get my tickets?E) Would you like me to try the later one? F) How do you like Harry Potter films?G) Can I take your name and telephone number, please?W: UCI booking line. 72 M: Hello…yes… I’d like to book two tickets for the new Harry Potter film, please.W: 73 When for? There are showings at 5:30 pm, 8 pm and 10:30 pm every day.M: In that case, I think the 5:30 one on Friday, please.W: I’ll just check. … Sorry, that showing is fully booked. 74 M: Er… yes, please. If you could. W: Yes, there are seats for the 8 o’clock showing. Do you want them?M: Yes, please.W: 75 M: Darren Brown. It’s 6398 0102. 76 W: You can collect your tickets from the box office any time from 5 pm today until ten minutes before the start of the film on Friday.M: Thank you.W: 77 Goodbye.B. True or False（判断下列句子是否符合短文内容，符合的用“T”表示，不符合的用“F”表示): ( 6分)I am an e-mail user. When I first started to use the e-mail system I used to read all my e-mail. I didn’t have much mail. I was very excited about receiving any e-mail. I gave my friends my e-mail address. Soon I had more mail than I wanted. Some of the mail was junk mail (垃圾邮件). I was worried. I didn’t want my mail to control me.I’ve tried some methods to help me get control of my mail. First, I check my mail at the same time every day. Also I try to allow myself only 15-20 minutes every day to process my e-mail. This doesn’t always work, but I try. Sometimes I save the messages. Sometimes I just read them, maybe answer a few, and then delete them.Sometimes I’m not at all interested in a message, so I don’t even open it. I delete it right away. This is very much the way I go through the mail that the postal service delivers to my home.These methods are very simple. I have some friends who are very clever with computers. From time to time, they teach me new tricks for managing my e-mail. I’ve also learned to transfer (转存) some messages to a disk so they don’t fill up my mail files (文件夹). Then I can read them later and maybe use them in my work. I’m still amazed at what e-mail can do for me! I’m still worried, however, about having too much to read. 78. The writer used to read all his e-mail because he didn’t have much mail. 79. After giving his friends his e-mail address the writer had more mail than he wanted. 80. Sometimes the writer checks his mail in the morning and sometimes in the evening. 81. The writer always spends less than 15 minutes processing his e-mail. 82. Sometimes the writer doesn’t open the mail because he is not at all interested in it. 83. The writer teaches his friends how to manage their e-mail. C. Choose the best answer（根据短文内容，选择最恰当的答案): ( 6分)The tradition of birthday parties started a long time ago. There are some traditions that you can find almost anywhere, anytime, such as sending birthday cards, blowing out the candles on a birthday cake and singing the ‘Happy Birthday’ song. Others are only found for certain ages and in certain countries.In China, on a child’s second birthday, family members put many things on the floor around the child. According to Chinese tradition, the first thing that the child picks up tells you what profession the child will choose later in life.For Japanese children, the third, fifth and seventh birthdays are especially important. At this age, there is a special celebration Shichi-Go-San (seven, five, three in Japanese) when children go to the temple wearing a new kimono (和服). The priest (僧侣) gives them special sweets, and the parents usually organize a party for their friends in their home.In Argentina, Mexico and several other Latin American countries, girls have a special birthday celebration when they reach the age of fifteen. After a special ceremony (仪式), the girls dance a waltz with their father and other boys.Eighteen is the traditional ‘coming of age’— the age when (in many countries) you have the right to vote (选举), join the army and (in Britain) drink alcohol or buy a house.In many English-speaking countries, a twenty-first birthday cake often has a key on top, or the cake itself is sometimes in the shape of a key. The key means that the young person is now old enough to leave and enter the family home at any time they want to! 84. Which of the following birthday traditions can be found almost anywhere, anytime? A) Putting many things on the floor. B) Wearing a new kimono. C) Dancing a waltz. D) Sending birthday cards.85. The usually organize a party at children’s special birthday celebration in Japan. A) priests B) parents C) friends D) relatives86. Mexican girls have a special birthday celebration at the age of . A) five B) seven C) fifteen D) twenty-one87. In many countries you can ________ when you reach the age of eighteen. A) join the army B) have a key C) have a special ceremony D) have special sweets88. Which of the following sentences is NOT true? A) The tradition of birthday parties started a long time ago. B) Some birthday traditions are only found in certain countries. C) You become the owner of your house at the age of fifteen. D) In many countries you have the right to vote at the age of eighteen.89. Which is the best title of this passage? A) Birthday Traditions around the World B) Chinese Birthday Celebrations C) Japanese Special Celebration D) The Drinking Age in Many CountriesD. Choose the words or expressions and complete the passage（选择最恰当的单词或词语完成短文):（14分）All about Britain’s TeenagersSchoolBritish teenagers can leave school at sixteen after taking their GCSE exams. They study for exams in as many as ten subjects, 90 they have to work pretty hard! Today’s teens spend more time doing their homework than any teenagers in the past, studying for 2.5 – 3 hours every evening.Free TimeIt’s not all work, of course. What do British teenagers do to have 91 ? They love watching TV, going out, meeting friends in Internet cafés and listening to music. CommunicationsIn addition to the Internet, teenagers in Britain use their computers to play games and do their homework. They 92 love their mobile phones, and spend hours texting (发短信) their friends and chatting. Today, phones are getting smaller and lighter and you can do a lot more 93 them than just talk. Text messaging has become the coolest and most popular way to communicate. More than 90% of 12- to 16-year-old have a mobile, and experts say that this stops 94 from spending their money on sweets and cigarettes.Fashion (服饰)At school, almost all British teenagers have to wear a school uniform. However, in their free 95 they can wear whatever they like, and what they like is designer names such as Nike, Diesel and Paul Smith. In fact, 40% of British teens say that they think it is important to have the latest fashion. Looking good doesn’t come 96 , but many teenagers think it usual or easy to spend more than ￡100 on one item of clothing. 90. A) but B) or C) so D) because91. A) lessons B) sports C) advice D) fun92. A) never B) already C) also D) no longer93. A) with B) for C) at D) in94. A) teachers B) relatives C) friends D) teenagers95. A) day B) time C) week D) month96. A) cheap B) expensive C) special D) ordinaryE. Read the passage and fill in the blanks with proper words（在短文的空格内填入适当的词，使其内容通顺，每空格限填一词，首字母已给):（14分）Do you have bright ideas? Ideas for inventions that change the world or, at least, make life easier for somebody? P 97 we all do sometimes, but we don’t often make the idea a real thing. Recently, there was a competition in a country, which encouraged young people to make their bright ideas come true. There were t 98 groups in the contest: Group A was for school children under 16; Group B was for those o 99 16. And there were eleven prize-winners altogether.Neil Hunt, one of the prize-winners, was c 100 “Sunshine Superman” by one newspaper writing about his design. When people study the weather, it’s important to be able to record the sunshine accurately. We need to know how many h 101 of sunshine we have and how strong it is. Most sunshine recorders o 102 record direct (直接的) sunshine. Neil’s is more accurate and this is very important for research into ways of using solar power. Neil plans to keep inventing.The ideas in the competition were so g 103 that we are surprised that the industry (工业界) doesn’t ask more school children for suggestions. F. Answer the questions（根据短文内容回答下列问题): ( 12分)English is an important international language, but that doesn’t mean it’s easy to learn. Many experts have tried to make English easier to learn — but they weren’t always successful.In 1930, Professor C.K. Ogden of Cambridge University invented Basic English. It had only 850 words (and just eighteen verbs) and Ogden said most people could learn it in just thirty hours. The problem was that people who learned Basic English could write and say simple messages, but they couldn’t understand the answers in ‘real’ English! It was also impossible to explain a word if it wasn’t in the Basic English word list.R.E. Zachrisson, a university professor in Sweden, decided that the biggest problem for learners of English was spelling, so he invented a language with the name Anglic. Anglic was similar to English, but with much simpler spelling. ‘Father’ became ‘faadher’, ‘new’ became ‘nue’ and ‘years’ became ‘yeerz’. Unluckily, Anglic never became popular. In the age of international communication through the Internet, who knows what will happen? ... a new form of English might appear. A large number of the world’s e-mails are in English and include (包括) examples of ‘NetLingo’ like OIC (Oh, I see) and TTYL (Talk to you later). In another fifty years, English might not be used. We might all speak fluent Internetish! 104. Many experts have tried to make English easier to learn, haven’t they?105. Who invented Basic English in 1930 ?106. How long could most people learn Basic English according to Professor Ogden?107. What was the biggest problem for learners of English according to Professor Zachrisson?108. What might happen to English in another fifty years?109. What do you think of the experts’ ideas of making English easier?X. Writing (作文): (共16分) 110. Write at least 60 words on the topic “A Story about My Parent(s)”. ( 以“爸爸 / 妈妈的故事”为题写一篇不少于60个词的短文，标点符号不占格。)（ 注意：短文中不得出现考生的姓名、校名及其他相关信息，否则不予评分。）此 页 面 答 题 无 效2007年上海市初中毕业生统一学业考试英语试卷答案与评分标准(B)一、答案要点Part II. 1. C 2. F 3. B 4. A 5. G 6. EII. 7. C 8. A 9. D 10. D 11. C 12. C 13. D 14. B 15. A 16. A III. 17. T 18. F 19. T 20. T 21. F 22. T 23. TIV. 24. John 25. 65/ sixty-five 26. wide 27. better 28. abroad 29. green 30. shopsPart IIV. 31. C 32. B 33. D 34. A 35. B 36. D 37. C 38. B 39. A 40. C41. A 42. B 43. D 44. C 45. A 46. D 47. D 48. B 49. B 50. CVI. 51. C 52. E 53. B 54. D 55. B 56. E 57. A 58. CVII. 59. him 60. glasses 61. fourth 62. useful 63. favourite 64. sell 65. actors 66. possiblyVIII. 67. Does… have 68. Which car 69. How expensive 70. different from 71. what hePart IIIIX. ( A ) 72. B 73. A 74. E 75. G 76. D 77. C ( B ) 78. T 79. T 80. F 81. F 82. T 83. F ( C ) 84. D 85. B 86. C 87. A 88.C 89. A ( D ) 90. C 91. D 92. C 93. A 94. D 95. B 96. A ( E ) 97. Perhaps/Probably 98. two 99. over 100. called 101. hours 102. only 103. great/good ( F ) 104. Yes, they have. 105. Professor CK Ogden (of Cambridge University). 106. In just 30 hours. 107. Spelling. 108. English might not be used. (We might all speak Internetish.) 109. (Any reasonable answers are acceptable.)X. 110. 略。

可以看看高一的教辅资料。

011年天津市初中毕业生学业考试试卷数 学一、选择题耳(本大题共l0小题．每小题3分，共30分．在每小题给出的四个选顶中． 只有一项是符合题目要求的)（1）sin45°的值等于（A) (B) (C) (D) 1(2)下列汽车标志中，可以看作是中心对称图形的是 （3）根据第六次全国人口普查的统计，截止到2010年11月1日零时，我国总人口约为1 370 000 000人，将1 370 000 000用科学记数法表示应为(A) (B) (C) (D) (4) 估计 的值在 (A) 1到2之问 (B) 2到3之间 (C) 3到4之问 (D) 4刊5之问(5) 如图．将正方形纸片ABCD折叠，使边AB、CB均落在对角线BD上，得折痕BE、BF，则∠EBF的大小为 (A) 15° (B) 30° (C) 45° (D) 60°(6) 已知⊙ 与⊙ 的半径分别为3 cm和4 cm，若 =7 cm，则⊙ 与⊙ 的位置关系是 (A) 相交 (B) 相离 (C) 内切 (D) 外切(7) 右图是一支架(一种小零件)，支架的两个台阶的高度和宽度都是同一长度．则它的三视图是 （8）下图是甲、乙两人l0次射击成绩（环数）的条形统计图．则下列说法正确的是 (A) 甲比乙的成绩稔定 (B) 乙比甲的成绩稳定(C) 甲、乙两人的成绩一样稳定 (D) 无法确定谁的成绩更稳定（9）一家电信公司给顾客提供两种上网收费方式：方式A以每分0.1元的价格按上网所用时间计算；方式B除收月基费20元外．再以每分0．05元的价格按上网所用时间计费。若上网所用时问为x分．计费为y元，如图．是在同一直角坐标系中．分别描述两种计费方式的函救的图象，有下列结论：① 图象甲描述的是方式A：② 图象乙描述的是方式B；③ 当上网所用时间为500分时，选择方式B省钱．其中，正确结论的个数是(A) 3 (B) 2 (C) 1 (D) 0（10）若实数x、y、z满足 ．则下列式子一定成立的是(A) (B) (C) (D) 2011年天津市初中毕业生学业考试试卷数 学二、填空题(本大题共8小题．每小题3分，共24分) (11) 的相反教是__________． (12) 若分式 的值为0，则x的值等于__________。 (13) 已知一次函数的图象经过点(0．1)．且满足y随x的增大而增大，则该一次函数的解析式可以为__________ (写出一一个即可)． (14) 如图，点D、E、F分别是△ABC的边AB，BC、CA的中点，连接DE、EF、FD．则图中平行四边形的个数为__________。 (IS) 如图，AD，AC分别是⊙O的直径和弦．且∠CAD=30°．OB⊥AD，交AC于点B．若OB=5，则BC的长等于_________。(16) 同时掷两个质地均匀的骰子．观察向上一面的点数，两个骰子的点数相同的概率为_________。(17)如图，六边形ABCDEF的六个内角都相等．若AB=1，BC=CD=3，DE=2，则这个六边形的周长等于_________。(18) 如图，有一张长为5宽为3的矩形纸片ABCD，要通过适当的剪拼，得到一个与之面积相等的正方形．(Ⅰ) 该正方形的边长为_________。(结果保留根号)(Ⅱ) 现要求只能用两条裁剪线．请你设计一种裁剪的方法．在图中画出裁剪线， 并简要说明剪拼的过程：_________。三、解答题(本大题共8小题，共68分．解答应写出文字说明、演算步骤或推理过程)(19)(本小题6分)解不等式组 (20)(本小题8分) 已知一次函数 (b为常数)的图象与反比例函数 （k为常数．且 ）的图象相交于点P(3．1)． (I) 求这两个函数的解析式；(II) 当x>3时，试判断 与 的大小．井说明理由。(21)(本小题8分) 在我市开展的“好书伴我成长”读书活动中，某中学为了解八年级300名学生读书情况，随机调查了八年级50名学生读书的册数．统计数据如下表所示：册数 0 1 2 3 4人数 3 13 16 17 1 (I) 求这50个样本数据的平均救，众数和中位数：(Ⅱ) 根据样本数据，估计该校八年级300名学生在本次活动中读书多于2册的人数。(22)(本小题8分) 已知AB与⊙O相切于点C，OA=OB．OA、OB与⊙O分别交于点D、E. (I) 如图①，若⊙O的直径为8AB=10，求OA的长(结果保留根号)； (Ⅱ)如图②，连接CD、CE，-若四边形dODCE为菱形．求 的值．(23)(本小题8分) 某校兴趣小组坐游轮拍摄海河两岸美景．如图，游轮出发点A与望海楼B的距离为300 m．在一处测得望海校B位于A的北偏东30°方向．游轮沿正北方向行驶一段时间后到达C．在C处测得望海楼B位于C的北偏东60°方向．求此时游轮与望梅楼之间的距离BC ( 取l.73．结果保留整数)．(24)(本小题8分)注意：为了使同学们更好她解答本题，我们提供了—种分析问题的方法，你可以依照这个方法按要求完成本题的解答．也可以选用其他方法，按照解答题的一班要求进行解答即可． 某商品现在的售价为每件35元．每天可卖出50件．市场调查反映：如果调整价格．每降价1元，每天可多卖出2件．请你帮助分析，当每件商品降价多少元时，可使每天的销售额最大，最大销售额是多少?设每件商品降价x元．每天的销售额为y元．(I) 分析：根据问题中的数量关系．用含x的式子填表：(Ⅱ) (由以上分析，用含x的式子表示y，并求出问题的解) (25) (本小题10分) 在平面直角坐标系中．已知O坐标原点．点A(3．0)，B(0，4)．以点A为旋转中心，把△ABO顺时针旋转，得△ACD．记旋转转角为α．∠ABO为β． (I) 如图①，当旋转后点D恰好落在AB边上时．求点D的坐标； (Ⅱ) 如图②，当旋转后满足BC∥x轴时．求α与β之闻的数量关系；(Ⅲ) 当旋转后满足∠AOD=β时．求直线CD的解析式(直接写出即如果即可)，(26)(本小题10分) 已知抛物线 ： ．点F(1，1)． (Ⅰ) 求抛物线 的顶点坐标； (Ⅱ) ①若抛物线 与y轴的交点为A．连接AF，并延长交抛物线 于点B，求证： ②抛物线 上任意一点P（ ）)（ ）．连接PF．并延长交抛物线 于点Q（ ），试判断 是否成立？请说明理由； (Ⅲ) 将抛物线 作适当的平移．得抛物线 ： ，若 时． 恒成立，求m的最大值． 2011年天津市初中毕业生学业考试数学试题参考答案一、选择题题号 1 2 3 4 5 6 7 8 9 10答案 B A B C C D A B A D二、填空题（11）6 （12） 1 （13） （答案不唯一，形如 都可以）（14）3 （15）5 （16） （17）15 （18）（Ⅰ） （Ⅱ）如图．①作出BN= (BM=4，MN=1， ∠MNB=90°)： ②画出两条裁剪线AK，BE (AK=BE= ．BE⊥AK)： ③平移△ABE和△ADK． 此时，得到的四边形BEF'G即为所求．三、解答题(本大题共8小题，共66分)(19)(本小题6分)解：∵ 解不等式①．得 ． 解不等式②．得 ． ∴原不等式组的解集为 ．(20)(本小题8分)解 (I)一次函数的解析式为 ． 反比例函数的解析式为 ． (Ⅱ) ．理由如下： 当 时， ． 又当 时．一次函数 随x的增大而增大．反比例函数 随x的增大而减碡小， ∴当 时 。（21)(本小题8分)解：(I) 观察表格．可知这组样本救据的平均数是∴这组样本数据的平均数为2． ∵在这组样本数据中．3出现了17次，出现的次数最多， ∴这组数据的众数为3． ∵将这组样本数据按从小到大的顺序排列．其中处于中间的两个数都是2， ∴这组数据的中位数为2． (Ⅱ) 在50名学生中，读书多于2本的学生有I 8名．有 ． ∴根据样本数据，可以估计该校八年级300名学生在本次活动中读书多于2册的约有108名．（22）（本小题8分）（Ⅰ）OA= （Ⅱ） （23） （本小题8分） BC≈173（24）（本小题8分）解：（Ⅰ） （Ⅱ）根据题意，每天的销售额 配方，得 ，∴当x=5时，y取得最大值1800．答：当每件商品降价5元时，可使每天的销售额最大，最大销售额为l 800元。（25）（本小题10分）解：(I)∵点A(3，0)．B(0，4)．得0A=3，OB=4． ∴在Rt△ABO中．由勾股定理．得AB=5， 根据题意，有DA=OA=3如图①．过点D作DM⊥x轴于点M，则MD∥OB．∴△ADM∽△ABO。有 ，得 又OM=OA-AM，得OM= ．∴点D的坐标为（ ）(Ⅱ)如图②．由己知，得∠CAB=α，AC=AB，∴∠ABC=∠ACB．∴在△ABC中，由∠ABC+∠ACB+∠CAB=180°，得α=180°—2∠ABC，．又∵BC∥x轴，得∠OBC=90°，有∠ABC=90°—∠ABO=90°—β∴α=2β．（Ⅲ） 直线CD的解析式为， 或 ．（26）（本小题10分）解 (I)∵ ，∴抛物线 的顶点坐标为( )．(II)①根据题意，可得点A(0，1)，∵F(1，1)．∴AB∥x轴．得AF=BF=1， ② 成立．理由如下：如图，过点P（ ）作PM⊥AB于点M，则FM= ，PM= （ ）∴Rt△PMF中，有勾股定理，得 又点P（ ）在抛物线 上，得 ，即 ∴ 即 ．过点Q（ ）作QN⊥B，与AB的延长线交于点N，同理可得 ．图文∠PMF=∠QNF=90°，∠MFP=∠NFQ，∴△PMF∽△QNF有 这里 ， ∴ 即 (Ⅲ) 令 ，设其图象与抛物线 交点的横坐标为 ， ，且 < ，∵抛物线 可以看作是抛物线 左右平移得到的，观察图象．随着抛物线 向右不断平移， ， 的值不断增大，∴当满足 ，． 恒成立时，m的最大值在 处取得。可得当 时．所对应的 即为m的最大值．于是，将 带入 ，有 解得 或 （舍）∴ 此时， ，得 解得 ， ∴m的最大值为8.

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