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1、2011年安徽省中考数学试卷及答案(免费).二O一一年安徽省中考数学试题 一、选择题(本大题共10小题，每小题4分，满分40分) 1(,2、0、2、,3这四个数中最大的是【 】 A(2 B(0 C(,2 D(,3 2(我省2010年末森林面积为3804.2千公顷，用科学记数法表示3804.2千正确的是【 】 (34673804.210 B(380.4210 C(3.804210 D(3.804210 A(3(下图是五个相同的小正方体搭成的几何体，其左视图是【 】 A( B( C( D( 4(设a,19,1，a在两个相邻整数之间，则这两个整数是【 】 A(1和2 B(2和3 C(3和4 D(4和
2、5 5(从正五边形的五个顶点中，任取四个顶点连成四边形，对于事件M:“这个四边形是等腰梯形”，下列推断正确的是【 】 A A(事件M是不可能事件 B(事件M是必然事件 12C(事件M发生的概率为 D(事件M发生的概率为 5 5 E F (如图，D是?ABC内一点，BD?CD，AD,6，BD,4，CD,3， 6D E、F、G、H分别是AB、AC、CD、BD的中点，则四边形EFGH H G 的周长是【 】 B C A(7 B(9 C(10 D(11 A 7(如图，?O的半径为1，A、B、C是圆周上的三点，?BAC,36?， 则劣弧BC的长是【 】 O 2413,A( B( C( D( C 5555
3、B 8(一元二次方程x(x,2),2,x的根是【 】 A(,1 B(2 C(1和2 D(,1和2 P A D 229(如图，在四边形ABCD中，?BAD,?ADC,90?，AB,AD,， C 32CD,，点P在四边形ABCD的边上(若点P到BD的距离为， 2B 则点P的个数为【 】 D A(1 B(2 C(3 D(4 N 10(如图，点P是菱形ABCD的对角线AC上的一个动点，过点P垂A C P 直于AC的直线交菱形ABCD的边于M、N两点(设AC,2，BDM ,1，AP,x，?AMN的面积为y，则y关于x的函数图象大致形B 状是【 】 y y y y x x x x O 1 2 O 1 2
4、O 1 2 O 1 2 A( B( C( D( 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 the accident respon
5、sibility, 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 500-1000 punishment. (
6、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 welded butt joints
7、, 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 w
8、elding 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 procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pre
9、ssure 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 acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pre
10、ssure vessel 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 二、填空题(本大题共4小题，每小题5分，满分20分) 211(因式分解:ab，2ab，b, ( n12(根据里氏震级的定义，地震所释放出的相对能量E与震级n的关系为:E,10，那么9级地震所释放出的相对能量是7级地震所释放出的相对能量的倍数是 ( 13(如图，?O的两条弦AB、CD互相垂直，垂足为E，
11、且AB,CD， A CE,1，DE,3，则?O的半径是 ( ,14(定义运算ab,a(1,b)，下面给出了关于这种运算的四个结论: O ,?2(,2),6 ?ab,ba C D E ,?若a，b,0，则(aa)，(bb),2ab ?若ab,0，则a,0( B 其中正确结论的序号是 (填上你认为所有正确结论的序号)( 三、(本大题共2小题，每小题8分，满分16分) 12,15(先化简，再求值:，其中x,2( 2x,1x,1【解】 16(江南生态食品加工厂收购了一批质量为10000kg的某种山货，根据市场需求对其进行粗加工和精加工处理，已知精加的这种山货质量比粗加工的质量的3倍还多2000kg，求
12、粗加工的这种山货的质量( 【解】 四、(本大题共2小题，每小题8分，满分16分) 17(如图，在边长为1个单位长度的小正方形组成的网格中，按要求画出?ABC和?ABC: 111222(1)将?ABC先向右平移4个单位，再向上平移1个单位，得到?ABC; 111(2)以图中的点O为位似中心，将?ABC作位似变换且放大到原来的两倍，得到?ABC( 111222C B A O accident and the responsibility of leadership, such as concerning administrative sanctions should be dealt with b
13、y 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 undue delay
14、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 penalty
15、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 testing res
16、ults 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 proced
17、ure 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 GB50128-2
18、005 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 GB50275-98 comp
19、ressor, fan 18(在平面直角坐标系中，一蚂蚁从原点O出发，按向上、向右、向下、向右的方向依次不断移动，每次移动1个单位，其行走路线如下图所示( y A A A AAA12569101 O A A A A A A x 34781112( ， )、A( ， )、A( ， ); (1)填写下列各点的坐标:A4812(2)写出点A的坐标(n是正整数); 4n【解】 (3)指出蚂蚁从点A到点A的移动方向( 100101【解】 五、(本大题共2小题，每小题10分，满分20分) 19(如图，某高速公路建设中需要确定隧道AB的长度(已知在离地面1500m高度C处的飞机上，3测量人员测得正前方A、B
20、两点处的俯角分别为60?和45?(求隧道AB的长(?1.73)( C D 【解】 45? 60? 1500m O A B 20(一次学科测验，学生得分均为整数，满分为10分，成绩达到6分以上(包括6分)为合格，成绩达到9分为优秀(这次测验甲、乙两组学生成绩分布的条形统计图如下: 学生数/人 甲 乙 5 4 3 2 1 成绩/分 0 1 2 3 4 5 6 7 8 9 10 (1)请补充完成下面的成绩统计分析表: 平均分 方差 中位数 合格率 优秀率 甲组 6.9 2.4 91.7% 16.7% 乙组 1.3 83.3% 8.3% (2)甲组学生说他们的合格率、优秀率均高于乙组，所以他们的成绩好
21、于乙组(但乙组学生不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 the accident responsibility, give
22、 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 500-1000 punishment. (5) significant
23、 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 welded butt joints, welding engi
24、neering-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 alum
25、inium 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 procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel p
26、roducts 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 acceptance of oil tank 3 JB/ T4735-1997 steel welded atmospheric pressure vessel 4
27、 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan 同意甲组学生的说法，认为他们组的成绩要好于甲组(请你给出三条支持乙组学生观点的理由( 【解】 六、(本题满分12分) k 221(如图，函数y,kx，b的图象与函数y,(x,0)的图象交于点A(2，1)、B，与y轴交于112xy 点C(0，3)( (1)求函数y的表达式和点B的坐标; C 1B 【解】 A x O (2)观察图象
28、，比较当x,0时y与y的大小( 12【解】 七、(本题满分12分) ,22(在?ABC中，?ACB,90?，?ABC,30?，将?ABC绕顶点C顺时针旋转，旋转角为(0?,180?)，得到?ABC( 11A A A A 1 A1A 1E , ,P D C B C B C B B1B 1B 1图1 图2 图3 (1)如图1，当AB?CB时，设AB与BC相交于点D(证明:?ACD是等边三角形; 1111【证】 accident and the responsibility of leadership, such as concerning administrative sanctions shou
29、ld 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 the accident responsibility, give notice of criticism and 50-100 economic sanctions against them. (4) to conceal the accident, reported wi
30、thout undue 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
31、 accident 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 inspecti
32、on 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
33、 of welding 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 GB
34、150-98 2 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
35、 5 GB50275-98 compressor, fan 、BB，设?ACA和?BCB的面积分别为S、S(求证:S?S,1?3; (2)如图2，连接AA11111212【证】 ,(3)如图3，设AC的中点为E，AB的中点为P，AC,a，连接EP(当, ?时，11EP的长度最大，最大值为 ( 八、(本题满分14分) 23(如图，正方形ABCD的四个顶点分别在四条平行线l、l、l、l上，这四条直线中相邻两条1234之间的距离依次为h、h、h(h,0，h,0，h,0)( A 123123l 1(1)求证:h,h; 12 h1B l 2【证】 h 2l 3 D h 3 l 4C 222)设正方形AB
36、CD的面积为S，求证:S,(h(，h)，h; 121【证】 3 (3)若，h,1，当h变化时，说明正方形ABCD的面积S随h的变化情况( h12112【解】 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 500-10
37、00, 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 consequences, the p
38、ursuit 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, serial
39、 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 acceptance of fi
40、eld 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 procedures
41、 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 acceptance of
42、 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 2011年安徽省初中毕业学业考试数学参考答案 110 ACACB DBDBC 211. ; 12. 100; 13. 14. ?. 5，ba，1x，1,2x,11115. 原式=. ,1(x，
43、1)(x,1)(x，1)(x,1)x，1,2，116. 设粗加工的该种山货质量为xkg，根据题意，得 x+(3x+2000)=10000. 解得 x=2000. 答:粗加工的该种山货质量为2000kg. 17. 如下图 C2 BC2 1 C A2 B1 AB 1 ? A O 18(?A(0,1) A(1,0) A(6,0) 1312?A(2n,0) n?向上 3,19. 简答:?OA， ,1500，tan30,1500，,50033OB=OC=1500， 1500,5003,1500,865,635 ?AB=(m). 答:隧道AB的长约为635m. 20. (1)甲组:中位数 7; 乙组:平均
44、数7， 中位数7 (2)(答案不唯一) ?因为乙组学生的平均成绩高于甲组学生的平均成绩，所以乙组学生的成绩好于甲组; ?因为甲乙两组学生成绩的平均分相差不大，而乙组学生的方差低于甲组学生的方差，说明乙组学生成绩的波动性比甲组小，所以乙组学生的成绩好于甲组; ?因为乙组学生成绩的最低分高于甲组学生的最低分，所以乙组学生的成绩好于甲组。 k,1,2k，b,1,11y,x，321. (1)由题意，得 解得 ? ,1bb,3.,3.,kk222,y1,yk,2 又A点在函数上，所以 ，解得 所以 222xx2accident and the responsibility of leadership,
45、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 the accident responsibility, give notice of criticism and 50-100 economic sanctions agains
46、t 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 500-1000 punishment. (5) significant near miss should be attempted as the case of responsible
47、 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 welded butt joints, welding engineering-Ray lighting and quality rating of 2 GB11345-89 s
48、teel 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 proc
49、edure 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 procedures of steel pressure vessel NDT 9 JB/T4744-2000 steel pressure vessel products mechanical properties test of welded plate II, mecha