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1、辽宁省沈阳市2006年中考数学试题课标卷一、选择题（每小题3分，共24分）1下列物体中，主视图为如图1的是（ ）图12下列计算中，正确的是（ ）ABCD3如图是几种汽车的标志，其中是轴对称图形的有（ ）A1个 B2个C3个D4个4数据1，6，3，9，8的极差是（ ）A1B5C6D85把不等式组的解集表示在数轴上，正确的是（ ）6下列事件：（1）阴天会下雨；（2）随机掷一枚均匀的硬币，正面朝上；（3）12名同学中，有两人的出生月份相同；（4）2008年奥运会在北京举行其中不确定事件有（ ）A1个 B2个C3个D4个7估算的值（ ）A在5和6之间B在6和7之间C在7和8之间D在8和9之间8已知点I
2、为ABC的内心，BIC=130，则BAC的度数是（ ）A65B75C80D100二、填空题（每小题3分，共24分）92006年是我国公民义务植树运动开展25周年，25年来我市累计植树154000000株，这个数字可以用科学记数法表示为 株10分解因式：2x2-4x+2= 11如图，已知ABC的一边BC与以AC为直径的O相切于点C，若BC=4，AB=5，则cosB= 12如果反比例函数的图象位于第二、四象限内，那么满足条件的正整数的值是 13已知等腰三角形ABC中，AB=AC,D为BC边上一点，连接AD，若ACD和ABD都是等腰三角形，则C的度数是 14如图，已知ABC DBE，AB=6，DB=
3、8，则 15观察下列等式：，通过观察，用你所发现的规律确定的个位数字是 16如图，已知在O中，直径MN=10，正方形ABCD的四个顶点分别在半径OM，OP以及O上，并且POM=45，则AB的长为 三、（第17小题6分，第18、19小题各8分，第20小题10分，共32分）17 计算：18先化简，再求值：，其中19如图，在方格纸（每个小方格都是边长为1个单位长度的正方形）中，我们称每个小正方形的顶点为格点，以格点为顶点的图形称为格点图形如图中的ABC称为格点ABC（1）如果A，D两点的坐标分别是(1，1)和(0，1)，请你在方格纸中建立平面直角坐标系，并直接写出点B，点C的坐标；（2）请根据你所学
4、过的平移、旋转或轴对称等知识，说明图中“格点四边形图案”是如何通过“格点ABC图案”变换得到的20一个不透明的袋子中装有三个完全相同的小球，分别标有数字3，4，5从袋子中随机取出一个小球，用小球上的数字作为十位上的数字，然后放回，再取出一个小球，用小球上的数字作为个位上的数字，这样组成一个两位数试问：按这种方法能组成哪些两位数？十位上的数字与个位上的数字之和为9的两位数的概率是多少？用列表法或画树状图法加以说明四、（每小题10分，共20分）21某工程队在我市实施棚户区改造过程中承包了一项拆迁工程，原计划每天拆迁1250m2，因为准备工作不足，第一天少拆迁了20%从第二天开始，该工程队加快了拆迁
5、速度，第三天拆迁了1440m2求：（1）该工程队第一天拆迁的面积；（2）若该工程队第二天、第三天每天的拆迁面积比前一天增长的百分数相同，求这个百分数22学校鼓励学生参加社会实践，小萌所在班级的研究性学习小组在假期对她们所在城市的一家晚报的读者进行了一次问卷调查，以便了解读者对该种报纸四个版面的喜欢情况她们调查了男女读者各500名，要求每个读者选出自己最喜欢的一个版面，并将得到的数据绘制了下面尚未完成的统计图男读者女读者（1）请直接将图7所示的统计图补充完整；（2）请分别计算出喜欢各版面的总人数，并根据计算结果利用图8画出折线统计图；（3）请你根据上述统计情况，对该报社提出一条合理化建议五、（1
6、2分）23如图，某市郊外景区内一条笔直的公路a经过三个景点A,B,C景区管委会又开发了风景优美的景点D经测量景点D位于景点A的北偏东30方向8km处，位于景点B的正北方向，还位于景点C的北偏西75方向上已知AB=5km（1）景区管委会准备由景点D向公路a修建一条距离最短的公路，不考虑其他因素，求出这条公路的长（结果精确到0.1km）（2）求景点C与景点D之间的距离（结果精确到1km）（参考数据：，）六、（12分）24某企业信息部进行市场调研发现：信息一：如果单独投资A种产品，则所获利润yA（万元）与投资金额x万元）之间存在正比例函数关系：yA=kx，并且当投资5万元时，可获利润2万元信息二：如
7、果单独投资B种产品，则所获利润yB（万元）与投资金额x（万元）之间存在二次函数关系：yB=ax2+bx，并且当投资2万元时，可获利润2.4万元；当投资4万元时，可获利润3.2万元（1）请分别求出上述的正比例函数表达式与二次函数表达式；（2）如果企业同时对A，B两种产品共投资10万元，请你设计一个能获得最大利润的投资方案，并求出按此方案能获得的最大利润是多少？七、（12分）25如图10，在正方形ABCD中，点E,F分别为边BC,CD的中点，AF,DE相交于点G，则可得结论：AF=DE；AFDE（不需要证明）（1）如图11，若点E，F不是正方形ABCD的边BC，CD的中点，但满足CE=DF，则上面
8、的结论，是否仍然成立？（请直接回答“成立”或“不成立”）（2）如图12，若点E，F分别在正方形ABCD的边CB的延长线和DC的延长线上，且CE=DF，此时上面的结论1，2是否仍然成立？若成立，请写出证明过程，若不成立，请说明理由（3）如图13，在（2）的基础上，连接AE和EF，若点M，N，P，Q分别为AE，EF，FD，AD的中点，请判断四边形MNPQ是“矩形、菱形、正方形、等腰梯形”中的哪一种？并写出证明过程BEGFADC图10BEGFADC图11BEGFADC图12BEGFADC图13NMPQ八、（14分）26如图14，在平面直角坐标系中，两个全等的直角三角形的直角顶点及一条直角边重合，点在
9、第二象限内，点B，点C在x轴的负半轴上，CAO=30OA=4（1）求点C的坐标；（2）如图15，将ABC绕点C按顺时针方向旋转30到A CB的位置，其中AC交直线OA于点E，AB分别交直线OA,CA于点F,G，则除ABCAOC外，还有哪几对全等的三角形，请直接写出答案；（不再另外添加辅助线）（3）在（2）的基础上，将ACB绕点C按顺时针方向继续旋转，当COE的面积为时，求直线CE的函数表达式ACO11xyGFE图15ABCO11xy图14沈阳市2006年中考数学试题（课改实验区）参考答案一、选择题（每小题3分，共24分）1B 2D 3B 4D 5A 6C 7C 8C二、填空题（每小题3分，共2
10、4分）9 10 11 1213或 14 15 165三、（第17小题6分，第18，19小题各8分，第20小题10分，共32分）171/918X+4 当时，原式ABCD图11OPxy19（1）如图1，（2）把“格点ABC图案”向右平移10个单位长度，再向上平移5个单位长度，以点为旋转中心，按顺时针方向旋转180，即得到“格点四边形图案”20能组成的两位数有：33，34，35，43，44，45，53，54，55组成的两位数有9个其中，十位上数字与个位上数字之和为9的两位数有两个，（十位上数字与个位上数字之和为9的两位数）四、（每小题10分，共20分）21解：（1）该工程队第一天折迁的面积为（2）该
11、工程队第二天、第三天每天的拆迁面积比前一天增长的百分数是20%22（1）答案见图2，共计2分百分比（%）版面新闻版文娱版体育版生活版50403020100图2男读者女读者3032103048201218（2）新闻版：（人）文娱版：（人）体育版：（人）生活版：（人）绘制的折线的统计图如图3：人数版面新闻版文娱版体育版生活版400350300250200150100500图8（3）积极向上、有意义即可五、（12分）23解：（1）如图4，过点作于点，过点作，交的延长线于点北ABCDa图4FE在中，在中，景点向公路修建的这条公路的长约是3.1km（2）由题意可知，由（1）可知，所以，在中，景点与景点之
12、间的距离约为4km六、（12分）24解：（1）当时，当时，；当时，（2）设投资种商品万元，则投资种商品万元，获得利润万元，根据题意可得当投资种商品3万元时，可以获得最大利润5.8万元，所以投资种商品7万元，种商品3万元，这样投资可以获得最大利润5.8万元七、（12分）25解：（1）成立；（2）成立四边形是正方形，,又，又，（3）正方形证明：，同理，四边形是平行四边形又，又，平行四边形是菱形又，菱形是正方形“养套杀”吴莫愁式快速提分三部曲： 养眼，高频考点、答案词，应试技巧及其关联暗示点的串联与并联密码 套用，建模套用做题，模拟题与真题整体答题三点式套用法则 秒杀，5秒秒杀答案，无瑕疵迅捷提分（
13、满分）VIP体系2014吴军高考英语“三天三夜”迅捷提分秘术完形填空DNA解密 艺考生、体考生的救命稻草！突破130分，快速提高30分的锦囊妙计！速度与激情，2014年吴军高分英语有重大突破! 甄教案，真高分！完形思路“疯狂”创新范本，“无人牵引解决方案”全面落实! 2011年的高分密码，2012年的高频答案词，2013年的秒杀秘术，完成了迅捷提分的通路，大家通过记住600-800个高频单词就完成了3天提分的梦想!但有些同学，虽然记住了单词，到完形整篇文章做题时，不会运用，甚至可能遇到2-3个高频答案词同时出现，而自己又不会翻译，这时提分的幅度就会大打折扣！今天吴军老师总结了139个暗示点（6
14、00-800个单词的语境串联与并联），将20年内高考真题或模拟题内全部高频词汇进行了汇总，通过语境串联及并联的方式，彻底解决了您“记不住单词”，尤其是“不会运用”的问题，让各种答题技巧，高频考点，单词记忆法及生硬的高频答案词不再受宠! 以后妈妈再也不用担心你的学习了,so easy! 左手拿着“吴军高分英语”打火机，右手拿着高考真题及模拟题，哪里不会点哪里,.! 名师吴军暗示点1 相同的、类似的 / 不同的 （答案解析详见购买的自学教案，此处省略）same similar different / various / separate / alone / apart / notbut / cha
15、nge(able)difference / similarity（betweenand）/ a variety of / a range of-2013江苏卷I wanted it and worked toward it like everyone else, all of us 36 chasing the same thing.One year, through a series of unhappy events, it all fell 37 . I found myself homeless and alone. I had my truck and $56. 36. A. sep
16、arately B. equallyC. violentlyD. naturally37. A. offB. apartC. overD. out2013浙江卷I love how peole 37 seem so different, but end up being so 38 . The most valuabe lesson I gain from studying in France wasnt just to respect the French people 39 to respect all people, for your next best friend could be
17、just a continent away. 38. A. generous B. independent C. similarD. distant2012上海卷The degree of _60 between the potential helper and the person in need is also important.For example, people are more likely to help a stranger who is from the same country rather than a foreigner. 60. A. similarity B. f
18、riendship C. cooperation D. contact2013江苏卷They dropped off blankets, candles, and tools, and began 45 around to chat. They started to teach me a belief in a 46 American Dreamnot the one of individual achievement but of 47 .46. A. wildB. realC. different D. remote【2013新课标II卷】 It runs in the 33 .Micha
19、els father always helped the poor as he believed it made everyone happier. Michael Greenberg feels the 34 .A pair of gloves may be a 35 thing, but it can make a big difference in winter.34.A.honor B. pain C. same D. cold2013四川卷But she is so 23 that she never lets anyone put her down. “You shouldnt 2
20、4 what people say about what you look like because were not different from anyone else, Holly,” she 25 me. “And you dont need to wear a scarf because you look great 26 it!” For the first time in my life I could speak to someone whod been through something 27 . So weeks later, at my 13th birthday par
21、ty, 28 by her bravery, I gave up my scarf and showed off my scars. It felt amazing not having to 29 away behind my scarf. 27. A. similar B. strange C. hard D. important 2005重庆卷Hidden passengers traveling in ships, trams, or even cars can be a terrible trouble especially when they are insects. As for
22、 this, there is a great _36_ between human beings and insects. 36. A. connection B. difference C. communication D. similarity 2000北京春季卷I can read and write as well as anyone else my age, and I can think better. Thats probably a real big _24_ between the free school and regular school ?the amount of
23、_25_. 24. A. problem B. chance C. difference D. change名师吴军暗示点2（答案解析详见购买的自学教案，此处省略） 结论性动词: show / suggest / find / prove / decide / see 结论性情态动词: can /could 结论性时态及从句连接词：完成时, 过去时, how，why及转折关系but, though, however。 结论性形容词或副词: (1).so / therefore / accordingly / as a result / finally（eventually最后) / satis
24、fied / proud 看到can和want to一般要填because, so或if。另sothat (can)搭配！Im washing a dogs hurt leg. I work carefully, because I want to make sure I dont do anything to hurt him. I wish they could understand that were just trying to help them. They asked if he wanted to go home. But Bozo said no. so the fisherm
25、en wished Bozo well and left him alone again-just as his father had eighty-four years before. It can also influence the way we behave with our families. so how do we deal with our problems ? There are many ways and here is one of them. (2).Sure(ly) / certain(ly) / of course / indeed / actual(ly) =in
26、 fact, really, truly(3).obvious = clear =apparent 明显的 / obviously =clearly =apparently(4).surprised/amazed/surprising(ly) =amazing(ly), shocked ,astonished震惊的 Most people on this island are recreational fishers，andobviously，fishing forms an actual part of their leisure time.Im not surprised that he
27、became a writer. Even as a child he had a clear imagination.-2013重庆卷Since then, Joe started 45 . Though he never made it to the top, his math teacher was always 46 and curious about the change: Why had that stormy day changed Joe?46.A. worried B. amazed C. friendly D. cautious 2013安徽卷Learning a new
28、language is never _53_. But with some work and devotion, youll make progress. And youll be _54_ by the positive reaction of some people when you say just a few words in _55_ own language. Good luck!54. A. blamed B. amazed C. interrupted D. informed【2013广东A卷】Number sense is not the ability to count.
29、It is the ability to recognize a 1 in number. Human beings are born with this ability. 2 ，experiments show that many animals are, too.For example, many birds have good number sense. If a nest has four eggs and you remove one,the bird will not 3 .However,if you remove two, the bird 4 leaves. This mea
30、ns that the bird knows the 5 between two and three. Another interesting experiment showed a birds 6 number sense. A man was trying to take a photo of a crow(乌鸦)that had a nest in a tower, but the crow always left when she saw him coming. The bird did not 7 until the man left the tower. The man had a
31、n 8 .He took another man with him to the tower. One man left and the other stayed, but they did not 9 the bird.The crow stayed away until the second man left, too. The experiment was 10 with three men and then with four men. But the crow did not return to the nest until all the men were 11 .It was n
32、ot until five men went into the tower and only four left that they were 12 able to fool the crow. 2.A. Importantly B.Surprisingly C. Disappointedly D. Fortunately 6. A.amazing B.annoying C.satisfying D.disturbing 12.A. graduallyB. luckily C. strangely D. finally 2013浙江卷I left France with many 34 , s
33、o when people ask me what my favorite part of the trip was, they are always 35 to hear me talk about my Brazilian friend Paolo and the scores of weekdays in class, weeknights on the town, and weekends 36 France we enjoyed together. 35. A. surprisedB. disturbedC. embarrassedD. concerned2013山东卷Every t
34、ime I came into her room, she was so 48 because she thought I was her daughter. Her real daughter never 49 her, so I took her place. She let me 50 that making others feel good make me feel good, too, when she died, I was 51 , but I was very grateful to her. 50. A. explain B. guessC. declareD. see201
35、3湖南卷I ran to _43_ behind a big tree in our yard at once. After a while, I was _44_ the girls had passed by. I dashed to the front door and banged on it loudly. 44. A. sure B. proud C. eager D. curious2012湖北卷Happy as a child, I got on the bicycle and headed out onto the streets. After some time, I 37
36、 at the other end of the town. I was 38 that this simple vehicle could let me 39 long distances in a fairly short time. But how 40 did I really go?38.A. amazed B. amused C. confused D. concerned2012北京卷I believe I stayed in a state of pleasant disbelief _43_ I was halfway through rehearsals (排练) on m
37、y first day. I never actually _44_ to get the job. After being offered the position, I was completely _45_. I remember shaking with excitement.45.A. motivated B. relaxed C. convinced D. astonished2012广东卷However, some people argue that rules may be _14_, having observed that rules change all the time
38、, and that some schools have some regulations and others have different ones so who is to _15_ what is right ?15. A. predict B. explain C. decide D. consider 2011湖北卷Jasmina never got the chance to do it,” says Maja, now 32, “so I 34 that someday Id do it for her.34. A. pretended B. decided C. perfec
39、ted D. agreed 2001全国卷Russian scientist said that the Abominable Snowman was _14_ and was a remaining link with the prehistoric humans. But, _15_, no evidence has ever_16_been produced. 16. A. rightly B. actually C. normally D. particularly2003安徽春季卷He went to the clerk to _14_ his ticket. The clerk l
40、ooked at the ticket with_15_. “Why, sir, but your flight was at nine oclock in the morning, and _16_ it is eight in the evening.”15. A. astonishment B. patience C. respect D. delight 2003全国卷I played a racquetball game against my cousin Ed last week. It was one of the most _1_ and tiring games Ive ev
41、er had. When Ed first phoned and _2_ we play, I laughed quietly, figuring on an _3_ victory.1. A. encouraging B. hopeless C. surprising D. regular2004上海卷The law of over learning explains why cramming for an examination, _62_ it may result in a passing grade, is not a _63_way to learn a school course
42、.63. A. convenient B. demanding C. satisfactory D. swift2002全国卷He burst out laughing and said, “Why, you fool, he used his _17_ and asked for them. Ive been _18_ that on all my customers today, but I knew _19_ Id catch you.” ”Why is that?” I asked.19. A. for sure B. at onceC. in fact D. right now 1998全国卷It seemed that there was _13_ suitable work for him. So he _14_ to join the army. Mrs. Fant was so _15_ about this that she told the _16_ to all her neighbours. 14. A.