2012年河北省中考英语试题及答案
2012年河北省中考英语试卷及答案
2012年河北省初中毕业生升学文化课考试年河北省初中毕业生升学文化课考试英 语 试 卷本试卷分卷I和卷II两部分。
卷I为选择题，卷II为非选择题。
本试卷共120分，考试时间120分钟。
卷I（选择题，共85分）注意事项：1. 答卷I前，考生务必将自己的姓名、转考证号、科目填涂在答题卡上。
考试结束，监考人员将试卷和答题卡一并收回。
2. 答卷I时，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，答在试卷上无效。
3. 听力部分共包括两小节：第一节在卷I，第二节在卷II，完成第一节后，请根据录音指令，在卷II完成第二节。
听力部分（第一节）I. 听句子，选出句子中包含的信息。
（共5小题，每小题1分，计5分）分） 1. A. desk B. test C. text 2. A. 08:15 B. 07:45 C. 08:45 3. A. a tidy shirt B. a white skirt C. a nice bird 4. A. Tim is a student. B. Tim is 40 years old. C. Tim works in a school. 5. A. We must finish the work at 10:00. B. We can‟t finish the word before 10:00. C. We‟ll probably finish the work before 10:00. II. 听句子，选出该句的最佳答语。
（共5小题，每小题1分，计5分）分）‟re right. B. I hope so. C. It‟s not too hard. 6. A. You 7. A. Well done. B. Never mind. C. No way. ‟ll call her later. C. The line is busy. 8. A. Who‟s speaking? B. I‟s a fine day. ‟s December 25th. C. It‟s Tuesday. B. It 9. A. It‟t think so. C. Nothing serious. 10. A. Be careful. B. I donIII. 听对话和问题，选择正确答案。
河北省2012年初中毕业生升学文化课考试英语试卷及答案详解
河北省2012年初中毕业生升学文化课考试英语试卷满分：120分时间：120分钟第Ⅰ卷(选择题，共85分)听力部分(第一节)Ⅰ.听句子，选出句子中包含的信息(共5小题，每小题1分，计5分)1．A.desk B．test C．text2．A.08：15 B．07：45 C．08：453．A.a tidy shirt B．a white skirt C．a nice bird4.A.Tim is a student. B．Tim is 40 years old.C．Tim works in a school.5．A.We must finish the work at 10：00.B．We can’t finish the work before 10：00.C．We’ll probably finish the work before 10：00.Ⅱ.听句子，选出该句的最佳答语(共5小题，每小题1分，计5分)6．A.You’re right.B．I hope so.C．It’s not too hard. 7．A.Well done. B．Never mind. C．No way.8．A.Who’s speaking? B．I’ll call her later. C．The line is busy.9．A.It’s Tuesday. B．It’s December 25th. C．It’s a fine day.10．A.Be careful. B．I don’t think so. C．Nothing serious.Ⅲ.听对话和问题，选择正确答案(共5小题，每小题1分，计5分)11．A.Watching TV.B．Playing sports.C．Collecting stamps. 12．A.A cold coke. B．An orange juice. C．An apple juice.13．A.Tom didn’t see her.B．Tom’s reading about water.C．Tom doesn’t like water.14.15.Ⅳ.听语段、对话和问题，选择正确答案(共10小题，每小题1分，计10分) 16．When will the students answer the question?A．Before they listen.B．While they listen.C．After they listen. 17．What should they do while they listen?A．Read the dialogue.B．Say “Yes” or “No”．C．Write the sentences.18．Who will act out the dialogue?A．Andy’s parents. B．Andy and Eric. C．a boy and a girl.19．How long can the students be at school in a day?A．6 hours. B．7 hours. C．8 hours.20．What do they do besides having classes in the afternoon?A．Go off to camp.B．Do eye exercises.C．Do after-school activities.21．What do some students do if they are falling behind?A．Go to summer school.B．Do whatever they like.C．Start to ask questions.22．What does Dr. Lee think of playing computer games?A．It’s bad for children.B．It’s good for children.C．It can be good and bad.23．How does their mind work while they’re playing computer games?A．It works slow. B．It works fast. C．It works long.24．Why are some children getting too heavy or fat?A．They only use their fingers.B．They don’t exercise enough.C．They repeat the same action.25．What’s Dr.Lee’s suggestion for playing computer games?A．Don’t play too much.B．Play at a right time.C．Never play again.笔试部分Ⅴ.单项选择(共20小题，每小题1分，计20分)选出可以填入空白处的最佳选项。
河北英语中考近五年试题评析
河北省近五年（2008-2012）英语中考试题评析本文对河北近四年，即2008年至2012年的英语中考试题进行了调查研究，并尝试从其试卷结构，命题特点，解题技巧三方面对其进行评析，试图摸索出每年中考英语的命题侧重点，考察重心，以及一些题型的解题技巧，以期能够预测未来河北英语中考命题的趋势。
一、试卷结构（试卷共六大题，满分120分。
考试时间为120分钟。
）河北省近五年来，英语中考试题的试卷结构基本上保持着一致性：二、试题剖析：1、基础知识部分近五年河北中考英语试题中的基础知识部分只包含了两个题型，从未发生改变：单项选择和完形填空。
的掌握情况，以及能够在一定的语境中运用语法，词汇及语用等知识的能力。
从对语法知识考查的内容上来看，其覆盖面广，且包含了尽量全面的知识点。
但从近五年英语中考试题中的单项选择一题中考查的知识项目总结来看，的确有些考查重点方面的转变。
如下表所示：从上表中可以看到，从2008年到2012，英语中考试题中的单项选择一直考查的语法项有冠词，代词，介词，形容词，动词时态，情态动词，动词不定式，被动语态，动词/动词短语，宾语从句。
而从2009到2010间，一直没有出现There be句型语法项的考点，而在2011就开始出现了。
除此之外，感叹句的考查处于变动中，疑似以隔年规律出现。
而对于数词，反意疑问句几乎不做考查。
（2）完形填空（共10分）这一题型，旨在考查考生运用所学语言知识的能力，在对篇章整体理解的基础上，考查考生根据上下文的意思和逻辑联系进行推理、判断的能力。
本题型重点涉及到词汇搭配、习惯用法以及基础语法等知识的运用。
从完形填空文章的类型选取上来看，完形填空选择的文本篇幅逐年加长，字数增加，完整性较强，且属于叙事性的文章。
而且，由近五年英语中考中完形填空的文本选择总结来看，从今年开始说明文题材开始转向记叙文，相信未来英语中考试题中此类题型中文章的选择也必然是和中学生的学习，生活，思想变化，心理状态息息相关的，而且一般都具有一定的人生启示和教育意义。
河北省2012年高中英语学业水平(12月)考试试题
2012年12月河北省普通高中学业水平考试试题英语试题本试卷分为四局部，第一局部的第一节和第二节、第二局部和第三局部为选择题，第一局部的第三节和第四局部为非选择题。
总分为100分，考试时间90分钟。
须知事项：1. 答题前，考生务必用直径0.5毫米的黑色墨水签字笔将自己的姓名、某某号、考场号、座位号在答题卡上填写清楚。
2. 选择题局部：每一小题选出答案后，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，再选涂其它答案标号。
答在试卷上的答案无效。
3.非选择题局部：必须使用0.5毫米的黑色墨水签字笔在答题卡上书写，要求字体工整，笔迹清晰。
务必在题号所指示的答题区域内作答，超出答题区域书写的答案无效，在试题卷、草稿纸上答题无效。
4.考试完毕，务必将试题卷和答题卡一并上交。
第一局部听力(共三节，总分为20分)做题时，先将答案标在试卷上。
录音内容完毕后，你将有两分钟的时间将试卷上的答案填涂到答题卡上。
第一节(共5小题；每一小题1分，总分为5分)听下面5段对话。
每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最优选项，并标在试卷的相应位置。
听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一题。
每段对话仅读一遍。
1. What are the speakers going to do?A. To play tennis.B. To go swimming.C. To do some cleaning.2. What does the woman think of the movie?A. Frightening.B. Interesting.C. Boring.3. Which university is the woman thinking of studying at?A. An older one near the city.B. A modern one in the city.C. An older one far from the city.4. Where does the conversation most probably take place?A. In a hospital.B. In a store.C. In a bank.What's the weather like now?A. Rainy.B. Sunny.C. Cloudy.第二节〔共10小题；每一小题1分，总分为10分〕听下面4段对话，每段对话后有几个小题，从题中所给的A、B、C三个选项中选出最优选项，并标在试卷的相应位置。
2012中考分析-三河一实验吴春光
单项选择题考点分布：
一、语法知识 1、9大词类：名、副、代、数、冠、形、动(含情系)介、连 2、简单句：陈述句、感叹句、祈使句、 疑问句(一般、特殊、选择、反意) 并列句：祈使句，and/or将来时 复合句：定语从句、宾语从句、状语从句 3、主谓一致 4、非谓语动词(不定式) 5、倒装句：So+助+主，There be结构 6、语态：主动、被动 7、 一般现在时、一般过去时 时 一般将来时、过去将来时 态 现在进行时、过去进行时 现在完成时、过去完成时 二、词汇，固定句式，交际用语
河北省最近3年中考单项选择题考查知识点对比
考 察 内 容 冠 词 形 容 词 副 词 及 等 级 29 34 连 词 人 称 物 主 反 身 代 词 32 34 不 定 代 词 介 词 固 定 搭 配 单 词 短 语 辨 析 时 态 语 态 情 态 动 词 非 谓 语 感 叹 句 宾 语 状 语 定 语 从 句 43 45 名 词 所 有 格 数 词 主 谓 一 致 句 式 辨 析 句 意 及 常 识
听听力，不仅要听精华，更要看精华。所以听音 前的预测极为重要。
听力一向是学生的薄弱环节，不仅要听精华还要看精华，所以要帮学生 总结一些策略，如第一题的四五小题基本都是常见的同义转换，要勤总 结。 听力第二题侧重交际用语，常见的情景要经常总结如购物买东西打电话 等。 听力第三题是一男一女对话，要适当简记，常考数字题，包括数字细节 题。 听力第四题是小语段和长对话短文理解题，侧重整体理解，主要考查学 生对所听语言材料的理解及识别关键信息的能力，是学生失分较多的题 型，究其原因主要是学生有恐惧心理造成的。 卷二主要考查学生对所听语言材料的综合理解能力和简记信息的能力。
听力部分
能够根据语调和重音理解说话人的意图。
河北省中考英语试题及参考答案
河北省中考英语试题及参考答案河北省中考英语试题及参考答案想要学好中考,一定要多做练习，中考英语的备考离不开做试题,以下是店铺给你推荐的中考英语试题及答案，希望对你有帮助!河北省中考英语试题五、单项选择(共20小题，每小题1分，计20分)选出可以填入空白处的最佳选项。
26. Let’s take ______ photo! Everyone, cheese!A. aB. anC. theD. 不填27. We must protect plants. They are friends of ______.A. weB. usC. ourD. ours28. You see, Kevin is wr iting ______ his left hand.A. atB. asC. forD. with29. Do you have toys? I’d like to buy ______ for my cousin.A. itB. oneC. thisD. that30. I want a sweet milk. Put some ______ in my cup, please.A. iceB. soupC. saltD. sugar31. How ______ Cindy grows! She’s almost as tall as her mother now.A. cuteB. strongC. fastD. straight32. Diana isn’t here, ______ leave a message on her desk.A. orB. so D. and D. but33. Don’t forget ______ thanks when other people help you.A. acceptB. to acceptC. sayD. to say34. I ______ follow you. Would you please repeat it?A. can’tB. mustn’tC. needn’tD. shouldn’t35. Mom is cooking dinner. It ______ so nice.A. smellsB. tastesC. feelsD. sounds36. Steven, we should ______ the bus at the next stop.A. get upB. get offC. get toD. get in37. Someone ______ at the door. Can you open it?A. knocksB. knockedC. is knockingD. was knocking38. Eric arrived on time, ______ it was the rush hour.A. althoughB. becauseC. whileD. unless39. I’m busy now. I ______ to you after school this afternoon.A. talkB. talkedD. will talk D. have talked40. The teacher is already standing here. Do you know when she ______?A. comesB. cameC. is comingD. was coming41. Water is the cheapest drink. And it is also ______.A. healthierB. healthiestC. the healthierD. the healthiest42. Monica, you ______ the exam! Congratulation!A. passB. have passedC. will passD. are passing43. The pet dog is warm and loving, It ______ as a daughter of my family.A. treatsB. treatedC. is treatedD. was treated44. I saw Ken in the meeting room, he ______ Joe for the school magazine.A. interviewsB. interviewedC. has interviewedD. was interviewing45. I have some tickets for the basketball match. I wonder ______.A. where you buy the ticketsB. why you like to go thereC. if you’d like to come alongD. when you watch the match六、完形填空(共10小题，每小题1分，计10分)阅读下面短文，掌握其大意，然后从各小题所给的四个选项中选出最佳选项。
（三年经典）2010-2012全国各地中考英语试题精选
（三年经典）2010-2012全国各地中考英语试题精选（三年经典）2010-2012全国各地中考英语试题精选：名词【2010福建·晋江】32. —Lily has a silk __________. Listen, she is singing in the next room!—How nice!A. lookB. noiseC. voice答案：C【解析】名词词义辨析。
look可数名词，意思“相貌，样子，外表”，常用复数形式；noise 不可数名词，意思“噪杂声，吵闹声”；voice，可数名词，意思“嗓音，说话声”。
故选择C。
【2010黑龙江·鸡西】21. －How many ______can you see in the picture?－Only one.A. dogB. sheepC. child答案：B【解析】名词的用法。
How many后修饰可数名词的复数，这里的sheep是单复数同形的，用复数。
其他答案都只是单数。
【2010安徽省卷】39. —Could you tell me something about the boy who helped you jus t now?—Sorry, I know nothing about him. We are ______.A. friendsB. neighborsC. classmatesD. s trangers答案：D【解析】名词的用法。
由答语前面的：对不起，我不认识他，可知这里我们是“陌生人”。
【2010河北省卷】28. I don’t think looking after children is just ________ work.A. womanB. woman’s C. women D. women’s答案：D【解析】名词用法。
句意为“我认为照看孩子不仅仅是女人的工作。
”有句意可判断此处应用名词所有格，又因为woman的复数形式是women，故选D。
中考真题电子版-英语河北-2012
2012年河北省初中毕业生 升学文化课考试 英语 5A(满分:120分 时间:120分钟)卷Ⅰ(选择题,共85分)听力部分(第一节)(计25分)(略)笔试部分Ⅴ.单项选择(共20小题,每小题1分,计20分)选出可以填入空白处的最佳选项。
26.The children stood in circle and danced to music.A.a B .an C.the D.不填27.Don t worry about me.I m old enough to think for .A.himselfB.herselfC.yourselfD.myself28.We can be thankful every day,not just Thanksgiving Day.A.inB.onC.toD.by29. something wrong with my bike.Can I use yours?A.It isB.It wasC.There isD.There was30.I d like a for dessert.Fruit,you know,is good for health.A.potatoB.bananaC.candyD.pie31.You are doing great! I ve never had answer before.A.betterB.bestC.a betterD.the best32.— did you pay for the CD?—Only nine dollars.A.How manyB.How muchC.How longD.How often33.Martha is a girl.She always smiles and says hello to others.A.shyB.friendlyC.crazyD.healthy34.Could you record the football game for me?I can watch later.A.itB.oneC.thisD.that35.—Whose is the pencil box?—It be Tom s.Look at his name on the cover!A.canB.mayC.mustD.need36.Studying in groups is necessary you want to do well in school.A.ifB.untilC.unless D .though37. a book in the library,enter a key word into the computer.A.To findB.FindC.To writeD.Write38.The clothing store a sale.The clothes there are very cheap.A.hasB.hadC.is havingD.was having39.your name on the paper and you can get a magazine.A.Cut downB.Look downC.Turn downD.Put down40.Miss Zhang,the most beautiful teacher,many flowers and letters these days.A.receivedB.will receiveC.was receivingD.has received41.Your sweater looks smart.Where you it?A.do;getB.did;getC.will;getD.have;got42.Some animals can even see things in the dark.A.badB.badlyC.clearD.clearly43.—Where were you this morning?—I in the supermarket.A.will shopB.am shoppingC.was shoppingD.have shopped44.More money when we use both sides of paper.A.will saveB.was savedC.has savedD.will be saved45.Our teachers always give us good advice.We should follow.A.what they sayB.what they saidC.which they sayD.which they saidⅥ.完形填空(共10小题,每小题1分,计10分)阅读下面短文,掌握其大意,然后从各小题所给的四个选项中选出最佳选项。
2012年河北中考英语真题卷含答案解析
2012年河北中考英语真题卷含答案解析2012年河北省初中毕业⽣升学⽂化课考试英语 5A(满分:120分时间:120分钟)卷Ⅰ(选择题,共85分)听⼒部分(第⼀节)(计25分)(略)笔试部分Ⅴ.单项选择(共20⼩题,每⼩题1分,计20分)选出可以填⼊空⽩处的最佳选项。
26.The children stood in circle and danced to music.A.a B .an C.the D.不填27.Don t worry about me.I m old enough to think for .A.himselfB.herselfC.yourselfD.myself28.We can be thankful every day,not just Thanksgiving Day.A.inB.onC.toD.by29. something wrong with my bike.Can I use yours?A.It isB.It wasC.There isD.There was30.I d like a for dessert.Fruit,you know,is good for health.A.potatoB.bananaC.candy31.You are doing great! I ve never had answer before.A.betterB.bestC.a betterD.the best32.— did you pay for the CD?—Only nine dollars.A.How manyB.How muchC.How longD.How often33.Martha is a girl.She always smiles and says hello to others.A.shyB.friendlyC.crazyD.healthy34.Could you record the football game for me?I can watch later.A.itB.oneC.thisD.that35.—Whose is the pencil box?—It be Tom s.Look at his name on the cover!A.canB.mayC.mustD.need36.Studying in groups is necessary you want to do well in school.A.ifB.untilC.unless D .though37. a book in the library,enter a key word into the computer.A.To findB.FindD.Write38.The clothing store a sale.The clothes there are very cheap.A.hasB.hadC.is havingD.was having39.your name on the paper and you can get a magazine.A.Cut downB.Look downC.Turn downD.Put down40.Miss Zhang,the most beautiful teacher,many flowers and letters these days.A.receivedB.will receiveC.was receivingD.has received41.Your sweater looks smart.Where you it?A.do;getB.did;getC.will;getD.have;got42.Some animals can even see things in the dark.A.badB.badlyC.clearD.clearly43.—Where were you this morning?—I in the supermarket.A.will shopB.am shoppingC.was shoppingD.have shopped44.More money when we use both sides of paper.A.will saveC.has savedD.will be saved45.Our teachers always give us good advice.We should follow.A.what they sayB.what they saidC.which they sayD.which they saidⅥ.完形填空(共10⼩题,每⼩题1分,计10分)阅读下⾯短⽂,掌握其⼤意,然后从各⼩题所给的四个选项中选出最佳选项。
2012年河北省中考真题及答案
2012年河北省初中毕业生升学文化课考试数 学 试 卷本试卷分卷Ⅰ和卷Ⅱ两部分；卷Ⅰ为选择题，卷Ⅱ为非选择题． 本试卷满分为120分，考试时间为120分钟．卷Ⅰ（选择题，共30分）注意事项：1．答卷Ⅰ前，考生务必将自己的姓名、准考证号、科目填涂在答题卡上．考试结束，监考人员将试卷和答题卡一并收回．2．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．答在试卷上无效．一、选择题（本大题共12个小题，1~6小题，每小题2分；7~12小题，每小题3分，共30分．在每小题给出的四个选项中，只有一项是符合题目要求的） 1．下列各数中，为负数的是（ ）A ．0 Ｂ．2- Ｃ．1 Ｄ．122．计算3()ab 的结果是（ ）A ．3ab Ｂ．3a b Ｃ．33a b Ｄ．3a b 3．图1中几何体的主视图是（ ）4．下列各数中，为不等式组23040x x ->⎧⎨-<⎩解的是（ ）A ．1- Ｂ．0 Ｃ．2 Ｄ．45．如图2，C D 是O ⊙的直径，A B 是弦（不是直径），AB C D ⊥于点E ，则下列结论正确的是（ ）A ．A EB E > Ｂ．AD BC = Ｃ．12D AE C =∠∠ Ｄ．A D E C B E △∽△ 6．掷一枚质地均匀的硬币10次，下列说法正确的是（ ）Ａ．每2次必有1次正面向上 B ．可能有5次正面向上C ．必有5次正面向上D ．不可能有10次正面向上7．如图3，点C 在A O B ∠的O B 边上，用尺规作出了C N O A ∥，作图痕迹中， F G 是（ ）A ．以点C 为圆心，O D 为半径的弧 Ｂ．以点C 为圆心，D M 为半径弧 Ｃ．以点E 为圆心，O D 为半径的弧 Ｄ．以点E 为圆心，D M 为半径的 8．用配方法解方程2410x x ++=，配方后的方程是（ ）A ．2(2)3x += Ｂ．2(2)3x -= Ｃ．2(2)5x -= Ｄ．2(2)5x +=9．如图4，在A B C D 中，70A ∠=︒，将A B C D 折叠，使点D C 、分别落在点F 、E处（点,F E 都在A B 所在的直线上），折痕为M N ，则AM F ∠等于（ ）A ．70 Ｂ．40 Ｃ．30 Ｄ．20 10．化简22111x x ÷--的结果是（ ）A ．21x - Ｂ．321x - Ｃ．21x + Ｄ．2(1)x +11．如图5，两个正方形的面积分别为16，9，两阴影部分的面积分别为a ，b ()a b >，则()a b -等于（ ）A ．7 Ｂ．6 Ｃ．5 Ｄ．412．如图6，抛物线21(2)3y a x =+-与221(3)12y x =-+交于点(13)A ，，过点A 作x 轴的平行线，分别交两条抛物线于点B C ，．则以下结论： ①无论x 取何值，2y 的值总是正数． ②1a =．③当0x =时，214y y -=．④23A B A C =．其中正确结论是（ ）A ．①② Ｂ．②③ Ｃ．③④ Ｄ．①④2012年河北省初中毕业生升学文化课考试数 学 试 卷 卷Ⅱ（非选择题，共9 0分）注意事项：1．答卷Ⅱ前，将密封线左侧的项目填写清楚．2．答卷Ⅱ时，将答案用蓝色、黑色钢笔或圆珠笔直接写在试卷上．二、填空题（本大题共6个小题，每小题3分，共18分．把答案写在题中横线上） 13．5-的相反数是 ．14．如图7，A B C D ，相交于点O ，A C C D ⊥于点C ，若B O D∠=38，则A ∠等于 ．15．已知1y x =-，则2()()1x y y x -+-+的值为 ．16．在12⨯的正方形网格格点上放三枚棋子，按图8所示的位置已放置了两枚棋子，若第三枚棋子随机放在其他格点上，则以这三枚棋子所在的格点为顶点的三角形是直角三角形的概率为 ．17．某数学活动小组的20位同学站成一列做报数游戏，规则是：从前面第一位同学开始，每位同学依次报自己顺序数的倒数加1，第1位同学报111⎛⎫+ ⎪⎝⎭，第2位同学报112⎛⎫+⎪⎝⎭，第3位同学报113⎛⎫+⎪⎝⎭……这样得到的20个数的积为 ． 18．用4个全等的正八边形进行拼接，使相邻的两个正八边形有一条公共边，围成一圈后中间形成一个正方形，如图91-，用n 个全等的正六边形按这种方式拼接，如图92-，若围成一圈后中间也形成一个正多边形，则n 的值为 ．三、解答题（本大题共8个小题，共72分．解答应写出文字说明、证明过程或演算步骤） 19．（本小题满分8分）计算：021153)6(1)32⎛⎫--+⨯-+- ⎪⎝⎭．20．（本小题满分8分）如图10，某市A B ，两地之间有两条公路，一条是市区公路A B ，另一条是外环公路A D D C C B --.这两条公路转成等腰梯形A B C D ，其中D C AB AB AD D C ∥，::=10:5:2.（1） 求外环公路总长和市区公路长的比；（2） 某人驾车从A 地出发，沿市区公路去B 地，平均速度是40km/h ，返回时沿外环公路行驶，平均速度是80km/h ，结果比去时少用了110h ，求市区公路的长.21．（本小题满分8分）某社区准备在甲、乙两位射箭爱好者中选出一人参加集训，两人各射了5箭，他们的总成绩（单位：环）相同，小宇根据他们的成绩绘制了如下尚不完整的统计图表，并计算了甲成绩的平均数和方差（见小宇的作业）．（1）a =___________,x 乙=__________；（2）请完成图11中表示乙成绩变化情况的折线；（3）①观察图11，可看出______的成绩比较稳定（填“甲”或“乙”）.参照小宇的计算方法，计算乙成绩的方差，并验证你的判断.②请你从平均数和方差的角度分析，谁将被选中．22．（本小题满分8分）如图12，四边形A B C D 是平行四边形，点(10)(31)(33)A B C ，，，，，．反比例函数(0)m y x x=>的图象经过点D ，点P 是一次函数33(0)y kx k k =+-≠的图象与该反比例函数图象的一个公共点.（1）求反比例函数的解析式；（2）通过计算，说明一次函数33(0)y kx k k =+-≠的图象一定过点C ；（3）对于一次函数33(0)y kx k k =+-≠，当y x 随的增大而增大时，确定点P 横坐标的取值范围（不必写出过程）. 23．（本小题满分9分）如图131-，点E 是线段B C 的中点，分别以B C ，为直角顶点的EAB EDC △和△均是等腰直角三角形，且在B C 的同侧．（1）AE ED 和的数量关系为___________，AE ED 和的位置关系为___________；（2）在图131-中，以点E 为位似中心，作EG F △与E A B △位似，点H 是B C 所在直线上的一点，连接G H H D ，，分别得到了图132-和图133-；①在图132-中，点F 在B E 上，EGF EAB △与△的相似比是1:2，H 是E C 的中点.求证：.G H H D G H H D =⊥，②在图133-中，点F 在B E 的延长线上，EGF EAB △与△的相似比是k :1，若2B C =，请直接写出C H 的长为多少时，恰好使得GH HD GH HD =⊥且（用含k 的代数式表示24．（本小题满分9分）某工厂生产一种合金薄板（其厚度忽略不计），这些薄板的形状均为正方形，边长（单位：cm ）在5~50之间，每张薄板的成本价（单位：元）与它的面积（单位：2cm ）成正比例，每张薄板的出厂价（单位：元）由基础价和浮动价两部分组成，其中基础价与薄板的大小无关，是固定不变的，浮动价与薄板的边长成正比例，在营销过程中得到了表格中的数据．（1） 求一张薄板的出厂价与边长之间满足的函数关系式；（2） 已知出厂一张边长为40cm 的薄板，获得的利润是26元（利润=出厂价-成本价）.① 求一张薄板的利润与边长之间满足的函数关系式；② 当边长为多少时，出厂一张薄板获得的利润最大？最大利润是多少？ 参考公式：抛物线2(0)y ax bx c a =++≠的顶点坐标是2424b ac b a a ⎛⎫-- ⎪⎝⎭，.25．（本小题满分10分）如图14，(50)(30).A B --，，，点C 在y 轴的正半轴上，CBO∠=45，C D AB ∥，90CDA =∠.点P 从点(40)Q ，出发，沿x 轴向左以每秒1个单位长的速度运动，运动时间为t 秒.（1） 求点C 的坐标；（2） 当15BCP =∠时，求t 的值；（3） 以点P 为圆心，P C 为半径的P ⊙随点P 的运动而变化，当P ⊙与四边形A B C D 的边（或边所在的直线）相切时，求t 的值．26．（本小题满分12分）如图151-和图152-，在A B C △中，51314cos .13A B B C A B C ===，，∠探究在如图151-，AH BC ⊥于点H ，则AH =_______，A C =_______， A B C △的面积A B C S △=___________．拓展如图152-，点D 在A C 上（可与点A C ，重合），分别过点A C ，作直线B D 的垂线，垂足为E F ，.设.B D x A E m C F n ===，，（当点D 与点A 重合时，我们认为A B C S △=0. （1）用含x m ，或n 的代数式表示ABD S △及C B D S △；（2）求()m n +与x 的函数关系式，并求()m n +的最大值和最小值．（3）对给定的一个x 值，有时只能确定唯一的点D ，指出这样的x 的取值范围.发现请你确定一条直线，使得A B C ，，三点到这条直线的距离之和最小（不必写出过程），并写出这个最小值.2012年河北省初中毕业生升学文化课考试数学试题参考答案二、填空题（每小题3分，满分18分） 13．5 14．52 15．1 16．3417．21 18．6三、解答题（本大题共8小题，共72分）19．解：021153)6(1)32⎛⎫--+⨯-+-⎪⎝⎭=51(23)1-+-+ ······················································································· 5分 =4． ············································································································ 8分 20．解：（1）设10A B x =km ，则5A D x =km ，2C D x =km ．四边形A B C D 是等腰梯形，D C A B ∥， 5.B C A D x ∴== 12.A D D C C B x ∴++=∴外环公路总长和市区公路长的比为12x x :10=6:5. ················································· 3分 （2）由（1）可知，市区公路物长为10x km ，外环公路的总长为12x km ． 由题意，得10121408010x x =+. ························································································ 6分解这个方程，得1x =.1010x ∴=.答：市区公路的长为10km. ··························································································· 8分 21．解：（1）4，6········································································································· 2分 （2）如图1 ·················································································································· 3分（3）①乙 ····················································································································· 4分2222221[(76)(56)(76)(46)(76)]5S =-+-+-+-+-乙=1.6.····································· 5分 由于22S S <乙甲，所以上述判断正确. ··············································································· 6分 ②因为两人成绩的平均水平（平均数）相同，乙的成绩比甲稳定，所以乙将被选中.······ 8分 22．解：（1）由题意，2AD BC ==，故点D 的坐标为（1，2）.······························· 2分反比例函数m x的图象经过点(12)D ，，2. 2.1m m ∴=∴=∴反比例函数的解析式为2.y x=·················································································· 4分（2）当3x =时，333 3.y k k =+-=∴一次函数33(0)y kx k k =+-≠的图象一定过点C ． ··············································· 6分 （3）设点P 的横坐标为23.3a a <<， ·········································································· 8分（注：对（3）中的取值范围，其他正确写法，均相应给分）23．解：（1）A E E D A E E D =⊥，． ········································································ 2分 （2）①证明：由题意，90.B C AB BE EC DC =====∠∠，EGF EAB △与△位似且相似比是1:2， 1190.22G F E B G F A B E F E B ∴====∠∠，，G FE C ∴=∠∠.12E H H C E C == ，111.222G F H C FH FE EH EB EC BC EC C D ∴==+=+===，H G F D H C ∴△≌△. ································································································· 5分 .G H H D G H F H D C ∴==，∠∠又9090HDC DHC GHF DHC +=∴+=∠∠，∠∠..GHD ∴∠=90G H H D ∴⊥.·············································································································· 7分②C H 的长为k . ·········································································································· 9分 24．解：（1）设一张薄板的边长为x cm ，它的出厂价为y 元，基础价为n 元，浮动价为kx 元，则y kx n =+. ······································································································· 2分由表格中的数据，得50207030.k n k n =+⎧⎨=+⎩， 解得210.k n =⎧⎨=⎩，所以210.y x =+ ········································································································· 4分 （2）①设一张薄板的利润为P 元，它的成本价为2mx 元，由题意，得22210.P y m x x m x =-=+-······················································································ 5分 将4026x P ==，代入2210P x mx =+-中，得2262401040m =⨯+-⨯. 解得1.25m =所以21210.25P x x =-++·························································································· 7分 ②因为1025a =-<，所以，当22512225b x a=-=-=⎛⎫⨯- ⎪⎝⎭（在5~50之间）时，221410242535.14425ac b P a ⎛⎫⨯-⨯- ⎪-⎝⎭===⎛⎫⨯- ⎪⎝⎭最大值即出厂一张边长为25cm 的薄板，获得的利润最大，最大利润是35元. ························· 9分 （注：边长的取值范围不作为扣分点） 25．解：（1）45BCO CBO ==∠∠，3.O C O B ∴==又 点C 在y 轴的正半轴上，∴点C 的坐标为（0，3） ···························································································· 2分（2）当点P 在点B 右侧时，如图2.若15BCP = ∠，得30PCO = ∠.故tan 30O P O C == 4t =+······························································· 4分 当点P 在点B 左侧时，如图3，由15BCP = ∠，得60PCO = ∠，故tan 60PO O C ==.此时4t =+t ∴的值为4+或4+······················································································· 6分（3）由题意知，若P ⊙与四边形A B C D 的边相切，有以下三种情况：①当P ⊙与B C 相切于点C 时，有90BCP = ∠，从而45OCP = ∠得到3O P =.此时1t =. ···················································································································· 7分 ②当P ⊙与C D 相切于点C 时，有PC C D ⊥，即点P 与点O 重合，此时4t =. ··················································································································· 8分 ③当P ⊙与A D 相切时，由题意，90DAO =∠，∴点A 为切点，如图4.22222(9)(4)PC PA t PO t ==-=-，.于是222(9)(4)3t t -=-+.解处 5.6t =.t ∴的值为1或4或5.6. ····························································································· 10分 26．解：探究：12，15，84·························································································· 3分 拓展：（1）由三角形面积公式，得A B D C B D S m x S nx △△11=，=22. ································ 4分 （2）由（1）得22A B D C B D S S m n x x ==△△，， 22168A B DC B DS S m n x xx ∴+=+=△△. ··········································································· 5分 由于A C 边上的高为22845615155A B CS ⨯==△， x ∴的取值范围是56145x ≤≤.()m n + 随x 的增大而减小，∴当565x =时，()m n +的最大值为15. ······································································ 7分当14x =时，()m n +的最小值为12.··········································································· 8分（3）x 的取值范围是565x =或13x <≤14. ····························································· 10分发现：A C 所在的直线， ····························································································11分 最小值为565. ············································································································· 12分。