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1、2009辽宁铁岭中考数学试题及答案(word版含答案)2009年铁岭市初中毕业生学业考试 数 学 试 卷 考试时间120分钟 试卷满分150分 一、选择题(下列各题的备选答案中，只有一个是正确的，请将正确答案的选项填在下表中相应题号下的空格内(每小题3分，共24分) 1(目前国内规划中的第一高楼上海中心大厦，总投入约14 800 000 000元(14 800 000 000元用科学记数法表示为( ) 119109A(元 B(元 C(元 D(元 1.4810，0.14810，1.4810，14.810，232(计算的结果为( ) (2),a5656A( B( C( D( ,2a,8a,8a,6
2、aABCD?，,C125?，,A45?3(如图所示，已知直线， E ，E则的度数为( ) ?A(70 B(80 45? A B ? D(100 C(90125? D 4(一个圆柱体钢块，正中央被挖去了一个长方体孔，其俯视图如C 第3题图 图所示，则此圆柱体钢块的左视图是( ) (俯视图 A( B( C( D( 第4题图 5(数据21，21，21，25，26，27的众数、中位数分别是( ) A(21，23 B(21，21 C(23，21 D(21，25 6(为了美化环境，某市加大对绿化的投资(2007年用于绿化投资20万元，2009年用于绿化投资25万元，求这两年绿化投资的年平均增长率(设这两年
3、绿化投资的年平均增长率为x，根据题意所列方程为( ) 22025x,A( B( 20(1)25，,x22C( D( 20(1)25，,x20(1)20(1)25，,xxyy7(如图所示，反比例函数与正比例函数的图象的一个交点坐标是A(21)，若12yy,0x，则的取值范围在数轴上表示为( ) 21should be tightened, no loose, Terminal Board wiring should be one on each side, no more than two. J, shielded wire, spare wire binding order, reliable
4、 grounding. 7.7 quality standard 7.7.l cables through the cable embedded tube making use of galvanized steel pipe, tube ends without burrs, smooth. 7.7.2 pipe does not allow bending, bending the bend radius should be ? 4 times times the outer diameter of the tube in. 7.7.3 ellipticity of a bent tube
5、, pipe diameter ? 60mm, not 8%, diameter 760mm, not 6%. 7.7.4 making cables buried piping application root production, growing where interface is required, only straight pipe, only the wire port connections, welded connections are not allowed. 7.7.5 service sleeve should have a good grounding. 7.7.6
6、 cable trays installation, burrs and dirt and corrosion treatment should be carried out, install the bridge . 7.8.1.7 piping and piping, equipment and equipment or piping and other equipment shall have sufficient expansion gap in hot situations. 7.8.1.8 metal temperature of the insulating layer (hot
7、) = shell-wall temperature of environment temperature ? 40 ? c. 7.8.2 paint 7.8.2.l paint of equipment and pipelines should have at least a primer (red paint) and finish. 7.8.2.2 paint appearance color uniform, without paint, rust, flaking, wrinkles, flow marks, scum, paint particles and visible bru
8、sh marks. 7.8.2.3 interlayer should be tight and without stratification. 7.8.2.4 pipelines asphalt, fiber glass fabric corrosion, external appearance should never show surrounded by glass fiber cloth uniform, dense, painted pitch inspection should be no delamination, cavitation, homogeneity of aspha
9、lt coating, brushing each layer thickness in accordance with design requirements. Standard 7.9 7.9 structure placement process. 1 fair-faced concrete is a concrete surface without any decoration, structure appearance quality of concrete structure that is able to display strength and aesthetic percep
10、tion of quality standards. Construction technology requirements are as follows: template template Panel selection and processing require plate high strength, good toughness and y A( B( 2 y0 1 2 0 1 2 2 A(21)，1 y 1 x ,11 2 O C( D( 0 1 2 0 1 2 第7题图 8(将一等腰直角三角形纸片对折后再对折，得到如图所示的图形，然后将阴影部分剪掉，把剩余部分展开后的平面图形
11、是( ) 垂直 A( B( C( D( 第8题图 二、填空题(每小题3分，共24分) 39(分解因式:aa,4 ( 310(函数自变量的取值范围是 ( xy,x，311(小丽想用一张半径为5cm的扇形纸片围成一个底面半径为4cm的圆锥，接缝忽略不计，2则扇形纸片的面积是 cm(结果用表示) 12(如图所示，小区公园里有一块圆形地面被黑白石子铺成了面积相等的八部分，阴影部分是黑色石子，小华随意向其内部抛一个小球，则小球落在黑色石子区域内的概率是 ( ?O，,POAC40?，ABP13(如图所示，为的直径，点为其半圆上一点，AB、，,PCB为另一半圆上任意一点(不含)，则 度( 第12题图 C y
12、 A B 40? O x ,1 O P 第14题图 第13题图 2a,014(已知抛物线()经过点，且顶点在第一象限(有下列三个(10),，yaxbxc,，ba,0abc，,0,0结论:? ? ?(把正确结论的序号填在2a? 横线上 ( ? 15(如图所示，在正方形网格中，图?经过 变换(填“平移”A B C ? 或“旋转”或“轴对称”)可以得到图?;图?是由图?经过旋转变换得到的，其旋转中心是点 (填“A”或“B”或“C”)( 第15题图 16(如图所示，把同样大小的黑色棋子摆放在正多边形的边上，按照这n样的规律摆下去，则第个图形需要黑色棋子的个数是 ( should be tightene
13、d, no loose, Terminal Board wiring should be one on each side, no more than two. J, shielded wire, spare wire binding order, reliable grounding. 7.7 quality standard 7.7.l cables through the cable embedded tube making use of galvanized steel pipe, tube ends without burrs, smooth. 7.7.2 pipe does not
14、 allow bending, bending the bend radius should be ? 4 times times the outer diameter of the tube in. 7.7.3 ellipticity of a bent tube, pipe diameter ? 60mm, not 8%, diameter 760mm, not 6%. 7.7.4 making cables buried piping application root production, growing where interface is required, only straig
15、ht pipe, only the wire port connections, welded connections are not allowed. 7.7.5 service sleeve should have a good grounding. 7.7.6 cable trays installation, burrs and dirt and corrosion treatment should be carried out, install the bridge . 7.8.1.7 piping and piping, equipment and equipment or pip
16、ing and other equipment shall have sufficient expansion gap in hot situations. 7.8.1.8 metal temperature of the insulating layer (hot) = shell-wall temperature of environment temperature ? 40 ? c. 7.8.2 paint 7.8.2.l paint of equipment and pipelines should have at least a primer (red paint) and fini
17、sh. 7.8.2.2 paint appearance color uniform, without paint, rust, flaking, wrinkles, flow marks, scum, paint particles and visible brush marks. 7.8.2.3 interlayer should be tight and without stratification. 7.8.2.4 pipelines asphalt, fiber glass fabric corrosion, external appearance should never show
18、 surrounded by glass fiber cloth uniform, dense, painted pitch inspection should be no delamination, cavitation, homogeneity of asphalt coating, brushing each layer thickness in accordance with design requirements. Standard 7.9 7.9 structure placement process. 1 fair-faced concrete is a concrete sur
19、face without any decoration, structure appearance quality of concrete structure that is able to display strength and aesthetic perception of quality standards. Construction technology requirements are as follows: template template Panel selection and processing require plate high strength, good toug
20、hness and 第1个图形 第2个图形 第3个图形 第4个图形 第16题图 三、解答题(每题8分，共16分) 017(计算:( 12|32|(2，,，,)x218(解方程:( ,1xx,，11四、解答题(每题10分，共20分) Rt?ABC，,，,CA9030?，?中，( 19(如图所示，在lAB(1)尺规作图:作线段的垂直平分线(保留作图痕迹，不写作法); lABAC、BCDEF、BE(2)在已作的图形中，若分别交及的延长线于点，连接( EFDE,2求证:( A C B 第19题图 20(某市开展了党员干部“一帮一扶贫”活动(为了解贫困群众对帮扶情况的满意程度，有关部门在该市所管辖的两个
21、区内，分别随机抽取了若干名贫困群众进行问卷调查(根据收集的信息进行了统计，并绘制了下面尚不完整的统计图(已知在甲区所调查的贫困群众中，非常满意的人数占甲区所调查的总人数的35%(根据统计图所提供的信息解答下列问题: (1)甲区参加问卷调查的贫困群众有 人; (2)请将统计图补充完整; (3)小红说:“因为甲区有30人不满意，乙区有40人不满意，所以甲区的不满意率比乙区低(”你认为这种说法正确吗,为什么, 甲 人数 乙 800 760 700 600 500 420 400 250 200 40 30 非常满意 满意 比较满意 不满意 满意程度 第20题图 should be tightened
22、, no loose, Terminal Board wiring should be one on each side, no more than two. J, shielded wire, spare wire binding order, reliable grounding. 7.7 quality standard 7.7.l cables through the cable embedded tube making use of galvanized steel pipe, tube ends without burrs, smooth. 7.7.2 pipe does not
23、allow bending, bending the bend radius should be ? 4 times times the outer diameter of the tube in. 7.7.3 ellipticity of a bent tube, pipe diameter ? 60mm, not 8%, diameter 760mm, not 6%. 7.7.4 making cables buried piping application root production, growing where interface is required, only straigh
24、t pipe, only the wire port connections, welded connections are not allowed. 7.7.5 service sleeve should have a good grounding. 7.7.6 cable trays installation, burrs and dirt and corrosion treatment should be carried out, install the bridge . 7.8.1.7 piping and piping, equipment and equipment or pipi
25、ng and other equipment shall have sufficient expansion gap in hot situations. 7.8.1.8 metal temperature of the insulating layer (hot) = shell-wall temperature of environment temperature ? 40 ? c. 7.8.2 paint 7.8.2.l paint of equipment and pipelines should have at least a primer (red paint) and finis
26、h. 7.8.2.2 paint appearance color uniform, without paint, rust, flaking, wrinkles, flow marks, scum, paint particles and visible brush marks. 7.8.2.3 interlayer should be tight and without stratification. 7.8.2.4 pipelines asphalt, fiber glass fabric corrosion, external appearance should never show
27、surrounded by glass fiber cloth uniform, dense, painted pitch inspection should be no delamination, cavitation, homogeneity of asphalt coating, brushing each layer thickness in accordance with design requirements. Standard 7.9 7.9 structure placement process. 1 fair-faced concrete is a concrete surf
28、ace without any decoration, structure appearance quality of concrete structure that is able to display strength and aesthetic perception of quality standards. Construction technology requirements are as follows: template template Panel selection and processing require plate high strength, good tough
29、ness and 五、解答题(每题10分，共20分) 21(小明和小亮是一对双胞胎，他们的爸爸买了两套不同品牌的运动服送给他们，小明和小亮都想先挑选(于是小明设计了如下游戏来决定谁先挑选(游戏规则是:在一个不透明的袋子里装有除数字以外其它均相同的4个小球，上面分别标有数字1、2、3、4(一人先从袋中随机摸出一个小球，另一人再从袋中剩下的3个小球中随机摸出一个小球(若摸出的两个小球上的数字和为奇数，则小明先挑选;否则小亮先挑选( (1)用树状图或列表法求出小明先挑选的概率; (2)你认为这个游戏公平吗,请说明理由( OCDABABCD?，,10622(如图所示，已知AB是半圆的直径，弦，E是AB
30、延10O长线上一点，(判断直线DE与半圆的位置关系，并证明你的结论( BE,3D C A O B E 第22题图 六、解答题(每题10分，共20分) D23(某旅游区有一个景观奇异的望天洞，点是洞的入口，游人从入口进洞游览后，可经AABB山洞到达山顶的出口凉亭处观看旅游区风景，最后坐缆车沿索道返回山脚下的，,DBC10?BDBA处(在同一平面内，若测得斜坡的长为100米，坡角，在处测得的，,ABC40?，,ADF85?DADBE仰角，在处测得的仰角，过点作地面的垂线，垂足C为( ，ADB(1)求的度数; AB(2)求索道的长(结果保留根号) A D F B C E 第23题图 should b
31、e tightened, no loose, Terminal Board wiring should be one on each side, no more than two. J, shielded wire, spare wire binding order, reliable grounding. 7.7 quality standard 7.7.l cables through the cable embedded tube making use of galvanized steel pipe, tube ends without burrs, smooth. 7.7.2 pip
32、e does not allow bending, bending the bend radius should be ? 4 times times the outer diameter of the tube in. 7.7.3 ellipticity of a bent tube, pipe diameter ? 60mm, not 8%, diameter 760mm, not 6%. 7.7.4 making cables buried piping application root production, growing where interface is required, o
33、nly straight pipe, only the wire port connections, welded connections are not allowed. 7.7.5 service sleeve should have a good grounding. 7.7.6 cable trays installation, burrs and dirt and corrosion treatment should be carried out, install the bridge . 7.8.1.7 piping and piping, equipment and equipm
34、ent or piping and other equipment shall have sufficient expansion gap in hot situations. 7.8.1.8 metal temperature of the insulating layer (hot) = shell-wall temperature of environment temperature ? 40 ? c. 7.8.2 paint 7.8.2.l paint of equipment and pipelines should have at least a primer (red paint
35、) and finish. 7.8.2.2 paint appearance color uniform, without paint, rust, flaking, wrinkles, flow marks, scum, paint particles and visible brush marks. 7.8.2.3 interlayer should be tight and without stratification. 7.8.2.4 pipelines asphalt, fiber glass fabric corrosion, external appearance should
36、never show surrounded by glass fiber cloth uniform, dense, painted pitch inspection should be no delamination, cavitation, homogeneity of asphalt coating, brushing each layer thickness in accordance with design requirements. Standard 7.9 7.9 structure placement process. 1 fair-faced concrete is a co
37、ncrete surface without any decoration, structure appearance quality of concrete structure that is able to display strength and aesthetic perception of quality standards. Construction technology requirements are as follows: template template Panel selection and processing require plate high strength,
38、 good toughness and 24(为迎接国庆六十周年，某校团委组织了“歌唱祖国”有奖征文活动，并设立了一、二、三等奖(学校计划派人根据设奖情况买50件奖品，其中二等奖件数比一等奖件数的2倍还少10件，三等奖所花钱数不超过二等奖所花钱数的1.5倍(各种奖品的单价如下表所示(如果计划一等奖买件，买50件奖品的总钱数是元( xw(1)求与的函数关系式及自变量的wxx取值范围; 一等奖 二等奖 三等奖 (2)请你计算一下，如果购买这三种奖品单价(元) 12 10 5 所花的总钱数最少,最少是多少元, 七、解答题(本题12分) ?ABCBCBC、DD25是等边三角形，点是射线上的一个动点(点
39、不与点重合)，(?ADEBCABAC、ADE是以为边的等边三角形，过点作的平行线，分别交射线于点FG、BE，连接( BCD(1)如图(a)所示，当点在线段上时( ?AEBADC ?求证:; BCGE?探究四边形是怎样特殊的四边形,并说明理由; BCD(2)如图(b)所示，当点在的延长线上时，直接写出(1)中的两个结论是否成立, BCGED(3)在(2)的情况下，当点运动到什么位置时，四边形是菱形,并说明理由( A A F G E B C D B D C 图(a) F G E 图(b) 第25题图 should be tightened, no loose, Terminal Board wir
40、ing should be one on each side, no more than two. J, shielded wire, spare wire binding order, reliable grounding. 7.7 quality standard 7.7.l cables through the cable embedded tube making use of galvanized steel pipe, tube ends without burrs, smooth. 7.7.2 pipe does not allow bending, bending the ben
41、d radius should be ? 4 times times the outer diameter of the tube in. 7.7.3 ellipticity of a bent tube, pipe diameter ? 60mm, not 8%, diameter 760mm, not 6%. 7.7.4 making cables buried piping application root production, growing where interface is required, only straight pipe, only the wire port con
42、nections, welded connections are not allowed. 7.7.5 service sleeve should have a good grounding. 7.7.6 cable trays installation, burrs and dirt and corrosion treatment should be carried out, install the bridge . 7.8.1.7 piping and piping, equipment and equipment or piping and other equipment shall h
43、ave sufficient expansion gap in hot situations. 7.8.1.8 metal temperature of the insulating layer (hot) = shell-wall temperature of environment temperature ? 40 ? c. 7.8.2 paint 7.8.2.l paint of equipment and pipelines should have at least a primer (red paint) and finish. 7.8.2.2 paint appearance co
44、lor uniform, without paint, rust, flaking, wrinkles, flow marks, scum, paint particles and visible brush marks. 7.8.2.3 interlayer should be tight and without stratification. 7.8.2.4 pipelines asphalt, fiber glass fabric corrosion, external appearance should never show surrounded by glass fiber clot
45、h uniform, dense, painted pitch inspection should be no delamination, cavitation, homogeneity of asphalt coating, brushing each layer thickness in accordance with design requirements. Standard 7.9 7.9 structure placement process. 1 fair-faced concrete is a concrete surface without any decoration, st
46、ructure appearance quality of concrete structure that is able to display strength and aesthetic perception of quality standards. Construction technology requirements are as follows: template template Panel selection and processing require plate high strength, good toughness and 八、解答题(本题14分) OABCABOC
47、BCx?，?26(如图所示，已知在直角梯形中，轴于点O(动点从点出发，沿轴正方向以每秒1个单位长度的速度移动(过PxCAB，、，(11)(31)OA04,t点作垂直于直线，垂足为(设点移动的时间为秒()，与PPPQQ?OPQt(OABCS直角梯形重叠部分的面积为( OAB、(1)求经过三点的抛物线解析式; S(2)求与的函数关系式; t90?O(3)将绕着点顺时针旋转，是否存在，使得的顶点或在抛P?OPQ?OPQQt物线上,若存在，直接写出的值;若不存在，请说明理由( ty 2 A B 1 Q C x O P 1 3 第26题图 should be tightened, no loose, T
48、erminal Board wiring should be one on each side, no more than two. J, shielded wire, spare wire binding order, reliable grounding. 7.7 quality standard 7.7.l cables through the cable embedded tube making use of galvanized steel pipe, tube ends without burrs, smooth. 7.7.2 pipe does not allow bending
49、, bending the bend radius should be ? 4 times times the outer diameter of the tube in. 7.7.3 ellipticity of a bent tube, pipe diameter ? 60mm, not 8%, diameter 760mm, not 6%. 7.7.4 making cables buried piping application root production, growing where interface is required, only straight pipe, only t