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1、2012年天津中考数学模拟1数 学 第?卷(选择题 共30分) 一、选择题:本大题共10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( 30?1(2sin的值等于( )A(1 B( C( D(2 322(在艺术字中，有些字母是中心对称图形，下面的5个字母中，既是轴对称图形又是中心对称图形的有( ) E H I N A A(2个 B(3个 C(4个 D(5个 3(人大代表夏绩恩向正召开的十一届全国人大五次会议提交移动电话实行按秒计费的提案。根据夏绩恩的调研和计算，在现行按分钟计费模式下，在移动、电信、联通三大运营商2010年合计8763.64亿元的营业收入中，约
2、有1132.8亿元是因多计费而相应增加的收入，8763.64亿元用科学计数法表示为(保留两个有效数字) 12111110A(0.87元 B.8.76元 C.8.7元 D.8.76元 101010104(右上图是一根钢管的直观图，则它的三视图为( ) A( B( C( D( 5(为参加 “天津市初中毕业生升学体育考试”，小刚同学进行了刻苦的练习，在投掷实心球时，测得5次投掷的成绩(单位:m)为:8，8.5，9，8.5，9.2(这组数据的众数、中位数依次是( ) A(8.5，8.5 B(8.5，9 C(8.5，8.75 D(8.64，9 6. 在下列命题中，正确的是( ) A(一组对边平行的四边形
3、是平行四边形 B(有一个角是直角的四边形是矩形 C(有一组邻边相等的平行四边形是菱形 D(对角线互相垂直平分的四边形是正方形 ABCD，?OOOCDO,P7(如图，为的四等分点，动点从圆心出发，沿路线作匀速运动，设运动时,y间为(s)(，则下列图象中表示与之间函数关系最恰当的是( ) ?APBy,()ttD C y y y y 90 90 P 90 90 45 45 45 45 O B A 0 0 t 0 0 t t t A( B( C( D( 2y8(在平面直角坐标系中，先将抛物线x关于轴作轴对称变换，再将所得的抛物线关于轴作轴对称yxx,，,2变换，那么经两次变换后所得的新抛物线的解析式为
4、( ) 22A( B( yxx,，2yxx,，,222C( D( yxx,，2yxx,，2ABCDBCECEEAAB9(正方形中，是边上一点，以为圆心、为半径的半圆与以为圆心，accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishme
5、nt 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequenc
6、es, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specification
7、s, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and accepta
8、nce of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding p
9、rocedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acce
10、ptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan sin，EAB为半径的圆弧外切，则的值为( ) 4343 B( C( D( A(3455B 10(已知:如图，直线MN切?O于点C，AB为?O的直径，延长BA交直线MN于M点
11、，AE?MN，BF?MN，E、F分别为垂足，BF交?O于G，连结AC、BC，过点CO D作CD?AB，D为垂足,连结OC、CG.下列结论:其中正确的有( ) 2A G?CD=CF=CE; ?EF=4AEBF; ?ADDB=FGFB; ?MCCF=MABF. ECM FNA.? B.? C.? D.? 第?卷(非选择题 共90分) 二、填空题:本大题共8小题，每小题3分，共24分，请将答案直接填在题中横线上( 2009,D ,x11(若为实数，且，则的值为( ) xy，xy，,220,yC, F A D G 2xx,212(若分式的值为0，则的值等于 ( x2xx，21B C E 13(我们把依
12、次连接任意一个四边形各边中点所得的四边形叫做中点四边形(若一个ABCDABCD四边形的中点四边形是一个矩形，则四边形可以是 ( 35，,49，14(已知一次函数的图象过点与，则该函数的图象与y轴交点的坐标为_ _( ，,ABCDCD，CD，ECGEFAD15(如图，把一张矩形纸片沿折叠后，点分别落在的位置上，交于点(已，,EFG58?，,BEG?知，那么 ( 16(为了解某新品种黄瓜的生长情况，抽查了部分黄瓜株上长出的黄瓜根数，得到下面的条形图，观察该图，可知共抽查了_株黄瓜，并可估计出这个新品种黄瓜平均每株结_根黄瓜( 株数 y 20 15 P 10 ？ 5 O A x P 10 10 12
13、 14 15 黄瓜根数/株 (第18题) 第(16)题 (第17题) ?ABCb?DEF?AEFa17(如图，边长为的正内有一边长为的内接正，则的内切圆半径为 ( OAPPPPPP，？x18(如图，将边长为1的正三角形沿轴正方向连续翻转2012次，点依次落在点的1232008P位置，则点的横坐标为 ( 2008三、解答题:本大题共8小题，共66分(解答应写出文字说明、演算步骤或证明过程( accident and the responsibility of leadership, such as concerning administrative sanctions should be dea
14、lt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without und
15、ue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident
16、 penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and te
17、sting results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of weldi
18、ng procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2
19、GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB5027
20、5-98 compressor, fan 19(本小题6分) 5125xx,，,解不等式组 ,xx,，431(,20(本小题8分) m如图，在平面直角坐标系xOy中，一次函数y,kx，b(k?0)的图象与反比例函数y, (m?0)的图象交于二、四x象限内的A、B两点，与x轴交于C点，点B的坐标为(6，n)，线段OA,5，E为x轴负半轴上一点，且sin?AOE4,( 5(1)求该反比例函数和一次函数; (2)求?AOC的面积( (3)根据图象直接写出当x取何值时，一次函数的值小于反比例函数的值, 21(本小题8分) 在A、B两个盒子中都装着分别写有1,4的4张卡片，小明分别从A、B两个盒子中各取
21、出一张卡片，并用A盒中卡片上的数字作为十位数，B盒中的卡片上的数字作为个位数(请画出树状图，求小明抽取一次所得两位数能被3整除的概率( (?)采用树形图法(或列表法)列出出现的所有可能结果; (?)求小明抽取一次所得两位数能被3整除的概率( 22(本小题8分) accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne3 l Department of the company. (3) persona
22、l injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of t
23、he criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in
24、 the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding
25、engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709
26、-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel w
27、elded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan1. 如图，AB是半圆O的直径，过点O作弦AD的垂线交半圆O于点E，交AC于点C使?B
28、ED=?C( (1)判断直线AC与圆O的位置关系，并证明你的结论; C 4(2)若AC=8，cos?BED=，求AD的长( 5E D A B O 23(本小题8分) 某建筑工地，欲拆除该工地的一危房AB(如图)，准备对该危房实施定向爆破(已知距危房AB水平距离60米(BD,60米)处有一居民住宅楼，该居民住宅楼CD高15米，在该该住宅楼顶C处测得此危房屋顶A的仰角为30?，请你通过计算说明在实施定向爆破危房AB时，该居民住宅楼有无危险,(在地面上以点B为圆心，以AB长为半径3,1.7322,1.414的圆形区域为危险区域，参考数据:，) A 30?C EDB24(本小题8分) 注意:为了使同学
29、们更好地解答本题，我们提供了一种解题思路，你可以依照这个思路填空，并完成本题解答的全过程(如果你选用其他的解题方案，此时，不必填空，只需按照解答题的一般要求，进行解答即可( 如图?，要设计一幅宽20cm，长30cm的矩形图案，其中有两横两竖的彩条，横、竖彩条的宽度比为2?3，如果要使所有彩条所占面积为原矩形图案面积的三分之一，应如何设计每个彩条的宽度, 2x分析:由横、竖彩条的宽度比为2?3，可设每个横彩条的宽为，则D C 3x每个竖彩条的宽为(为更好地寻找题目中的等量关系，将横、竖彩30cm ABCD条分别集中，原问题转化为如图?的情况，得到矩形( 30cm 结合以上分析完成填空:如图?，用
30、含的代数式表示: xAB =_cm; B A AD=_cm; 20cm 20cm 2图? 图? ABCD矩形的面积为_cm; 列出方程并完成本题解答( 25(本小题10分) accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishmen
31、t 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequence
32、s, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications
33、, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptan
34、ce of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding pr
35、ocedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and accep
36、tance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 34如图，在平面直角坐标系中，直线y,x,12分别交x轴，y轴于A，B两y 点，点C在x轴上，且?ABC?AOB( (1)求点C的坐标; A C (2)若点P从点A出发，以每秒
37、1个单位的速度沿AB向B运动，同时点Qx O 从点C出发，以每秒1个单位的速度沿CA向A运动，连结PQ(设?APQ的面积为S，运动时间为t秒，求S与t的函数关系式，并写出自变量的取值范围; B (3)在(2)的条件下，是否存在t的值，使以A，P，Q为顶点的三角形与?ABC相似,若存在，请求出t的值;若不存在，请说明理由( accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personne5 l Departm
38、ent of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the
39、 administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mut
40、andis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB5023
41、6-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for s
42、teel pressure vessels 7 JB/4709-2000 8 JB4730-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineering 1 GB150-98 2 GB50128-2005 vertical cylindrica
43、l steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan26(本小题10分) ，
44、已知抛物线经过坐标原点O和x轴上另一点E，顶点M的坐标为(2，4);矩形ABCD的顶点A与点O重如图1合，AD、AB分别在x轴、y轴上，且AD,2，AB,3( (1)求该抛物线所对应的函数关系式; (2)将矩形ABCD以每秒1个单位长度的速度从图1所示的位置沿x轴的正方向匀速平行移动，同时一动点P也以相同的速度从点A出发向B匀速移动，设它们运动的时间为t秒(0?t?3)，直线AB与该抛物线的交点为N(如图2所示)( 52?当t,时，判断点P是否在直线ME上，并说明理由; ?设以P、N、C、D为顶点的多边形面积为S，试问S是否存在最大值,若存在，求出这个最大值;若不存在，请说明理由( y y M
45、 M N C B C B P O D A E x D O (A) E x 图2 图1 accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with by the personnel Department of the company. (3) personal injury accident occurs, the direct punishment 500-1000, who is directly responsible for
46、the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported without undue delay or false, to inform the administrative leadership of the criticism, resulting in serious consequences, the pursuit of leadership, along with 500
47、-1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and construction team injuries accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, serial number a 1 GB3323-2005 steel fusion
48、 welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 steel welds manual methods of ultrasonic inspection and testing results for grade 3 GB50236-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2004 petrochemical JB/ T4708-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-2000 8 JB4730-2005