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1、丽水2010中考数学试题浙江省2010年初中毕业生学业考试(丽水市卷) 数 学 考生须知: 1(全卷满分为120分考试时间为120分钟( 2(答题前请在答题卡上先填写姓名和准考证号再用铅笔将准考证号和科目对应的括号或方框涂黑( 3. 请在“答题卷?”上填写座位号并在密封线内填写县(市、区)学校、姓名和准考证号( 4. 本卷答案必须做在答题卷?、?的相应位置上做在试题卷上无效(答题时不允许使用计算器( 温馨提示:带着愉悦的心情载着自信与细心凭着沉着与冷静迈向理想的彼岸: 2b4acb,2参考公式:二次函数(a?0)图象的顶点坐标是,( y,ax，bx，c,2a4a试 卷 ? 一、选择题(本大题有
2、10小题，每小题3分，共30分(请选出各题中一个符合题意的正确选项，将答题卡上相应的位置涂黑(不选、多选、错选，均不给分) 1. 下面四个数中，负数是 C A(-3 B(0 C(0.2 D(3 2. 如图，D，E分别是?ABC的边AC和BC的中点，已知DE=2，则AB= D E A(1 B(2 C(3 D(4 B A3. 不等式x,2在数轴上表示正确的是 (第2题) -1 -1 0 1 2 3 -1 0 1 2 3 -1 0 1 2 3 0 1 2 3 B( D( A( C( 4(某班50名学生的一次英语听力测试成绩分布如下表所示(满分10分): 成绩(分) 0 1 2 3 4 5 6 7 8
3、 9 10 人数(人) 0 0 0 1 0 1 3 5 6 15 19 这次听力测试成绩的众数是 A(5分 B(6分 C(9分 D(10分 5. 已知粉笔盒里只有2支黄色粉笔和3支红色粉笔，每支粉笔除颜色外均相同，现从中任取一支粉笔，则取出黄色粉笔的概率是 1232A( B( C( D( 5355视图，那么6. 如图所示的物体由两个紧靠在一起的圆柱组成，小刚准备画出它的三他所画的三视图中的俯视图应该是 A(两个相交的圆 B(两个内切的圆 C(两个外切的圆 D(两个外离的圆 (第6题) 主视方向 HGJ222-92 technical specification for welding of a
4、luminium 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 vesse
5、l 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 pressure vesse
6、l 4 GB50231-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard
7、 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protect
8、ive measures have been taken, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fata
9、lities directly punished 12 million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury 7. 下列四个函数图象中，当x,0时，y随x的增大而增大的是 y y y y 1
10、1 1 1 O 1 x O x O 1 x O 1 x 1 A( B( C( D( 8. 如图，边长为(m+3)的正方形纸片剪出一个边长为m的正方形之后，剩余部分又剪拼成一个矩形(不重叠无缝隙)，若拼成的矩形一边长为3，则另一边长是 A(2m+3 B(2m+6 3 C(m+3 D(m+6 m m+3 (第8题) 9. 小刚用一张半径为24cm的扇形纸板做一个如图所示的圆锥形小丑帽子侧面(接缝忽略不计)，如果做成的圆锥形小丑帽子的24cm 底面半径为10cm，那么这张扇形纸板的面积是 2 2A(120cmB(240cm 22C(260cm D(480cm (第9题) 10. 如图，四边形ABCD
11、中，?BAD=?ACB=90?，AB=AD，AC=4BC，A 设CD的长为x，四边形ABCD的面积为y，则y与x之间的函数关系式D 是 2422 B( A(yx,yx,2525B 2422C C( D( yx,yx,(第10题) 55试 卷 ? 说明:本卷有二大题，14小题，共90分，请将本卷的答案或解答过程用钢笔或圆珠笔写在答题卷?上( 二、填空题(本题有6小题，每小题4分，共24分) 211. 分解因式:x-9= ? ( A812. 若点(4，m)在反比例函数(x?0)的图象上，则m的值是 ? ( y,xD E 13(如图，直线DE交?ABC的边BA于点D，若DE?BC，?B=70?， 则
12、?ADE的度数是 ? ( C B (第13题) 14. 玉树地震灾区小朋友卓玛从某地捐赠的2种不同款式的书包和2种不同款式的文具盒中，分别取一个书包和一个文具盒进行款式搭配，则不同搭配的可能有 ? 种( 222S,S,S,15. 已知a?0，Sa,2， 3220101SSS212009C O S,则A ? (用含a的代数式表示)( 2010D BC16. 如图，?ABC是?O的内接三角形，点D是的中点，已知 B (第16题) HGJ222-92 technical specification for welding of aluminium and its alloys 5 low tempe
13、rature 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 products mechanical properties te
14、st 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 GB50231-2009 mechanical equipme
15、nt installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an
16、installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the r
17、esponsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million
18、. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury ?AOB=98?，?COB=120?(则?ABD的度数是 ? ( 三、解答题(本题有8小题，第17,19题每题6分，第20、21题每题8分，第22、23
19、题每题10分，第24题12分，共66分) 1017. 计算:( 24sin30，,:223,xy,?,E 18. 解方程组 A D ,37.xy，,?,19. 已知:如图，E，F分别是ABCD的边AD，BC的中点( B 求证:AF=CE( C F (第19题) 20. 如图，直线l与?O相交于A，B两点，且与半径OC垂直，垂足 4为H ，已知AB=16cm，( cos，,OBHO 5(1) 求?O的半径; H l (2) 如果要将直线l向下平移到与?O相切的位置，平移的距离 A B 应是多少,请说明理由( C (第20题) 21. 黄老师退休在家，为选择一个合适的时间参观2010年上海世博会，
20、他查阅了5月10日至16日(星期一至星期日)每天的参观人数，得到图1、图2所示的统计图，其中图1是每天参观人数的统计图，图2是5月15日(星期六)这一天上午、中午、下午和晚上四个时间段参观人数的扇形统计图(请你根据统计图解答下面的问题: (1) 5月10日至16日这一周中，参观人数最多的是哪一天,有多少人,参观人数最少的又是哪一天,有多少人, (2) 5月15日(星期六)这一天，上午的参观人数比下午的参观人数多多少人 (精确到 1万人), 上海世博会5月15日(星期六)四上海世博会5月10日至16日(星期一至星期日)每天参观人数的统计图 个时间段参观人数的扇形统计图 人数(万人) (3) 如果
21、黄老师想尽可能选择晚上8 % 参观人数较少的时间去参40 34 下午6 % 观世博会，你认为他选择什30 24 24 22 么时间比较合适, 18 18 12 % 中午16 20 上午74 % 10 0 一 三 四 五 二 六 日 星期 (图1) (图2) (第21题) HGJ222-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-20 04 petrochemical JB/ T4708-2000 of w
22、elding 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 GB150-9
23、8 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 5 GB
24、50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas
25、cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yua
26、n. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident and have the corresponding responsibi
27、lity of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury22. 如图，方格纸中每个小正方形的边长为1，?ABC和?DEF的顶点都在方格纸的格点上( (1) 判断?ABC和?DEF是否相似，并说明理由; B D (2) P，P，P，P，P，D，F是?DEF边上 PP123451 5 P的7个格点，请在这7个格点中选取3个点 2 F A P作为三角形的顶点，使构成的三
28、角形与 3 P4 ?ABC相似(要求写出2个符合条件的三角 E C 形，并在图中连结相应线段，不必说明理由)( (第22题) 23. 小刚上午7:30从家里出发步行上学，途经少年宫时走了步，用时10分钟，到达学校的时间是7:120055(为了估测路程等有关数据，小刚特意在学校的田径跑道上，按上学的步行速度，走完100米用了150步( (1) 小刚上学步行的平均速度是多少米/分,小刚家和少年宫之间、少年宫和学校之间的路程分别是多少米, (2) 下午4:00，小刚从学校出发，以45米/分的速度行走，按上学时的原路回家，在未到少年宫300米处与同伴玩了半小时后，赶s(米) A 紧以 110米/分的速
29、度回家，中途没有再停留(问: B C ? 小刚到家的时间是下午几时, ? 小刚回家过程中，离家的路程s(米)与时间t(分)之间的函数O D t(分) 关系如图，请写出点B的坐标，并求出线段CD所在直线的(第23题) 函数解析式( 23B=30?，AB=24. ?ABC中，?A=?(把?ABC放在平面直角坐标系中，使AB的中点位于坐标原点O(如图)，?ABC可以绕点O作任意角度的旋转( 6(1) 当点B在第一象限，纵坐标是时，求点B的横坐标; 22y (2) 如果抛物线(a?0)的对称轴经过点C，请你探究: yaxbxc,，B 53511 a,c,? 当，时，A，B两点是否都 b,C 452在这
30、条抛物线上,并说明理由; -1 O 1 x ? 设b=-2am，是否存在这样的m的值，使A，B两点不 -1 可能同时在这条抛物线上,若存在，直接写出m的值; A 若不存在，请说明理由( (第24题) 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 st
31、eel 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 cylindrical
32、 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, fan and pump ins
33、tallation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yua
34、n. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job
35、in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12 million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concernin
36、g administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury 浙江省2010年初中毕业生学业考试(丽水市) 数学试题参考答案及评分标准 一、选择题(本题共10小题，每小题3分，共30分) 题号 1 2 3 4 5 6 7 8 9 10 答案 A D A D B C C A B C 评分标准 选对一题给3分，不选、多选、错选均不给分 二、填空题(本题有6小题，每小题4分，共24分) 111. (x+3)(x-3) 12. 2 13. 70?
37、14. 4 15. 16. 101? a三.解答题(本题有8小题，共66分) 17. (本题6分) 11解:原式= (每项计算1分)4分 12，,22=3( 2分 18. (本题6分) 解法1:?，?，得 5x=10( ? x=2( 3分 把x=2代入?，得 4-y=3( ? y=1( 2分 x,2,? 方程组的解是 1分 ,y,1.,解法2:由?，得 y=2x-3( ? 1分 把?代入?，得 3x+2x-3=7( ? x=2( 2分 把x=2代入?，得 y=1( 2分 x,2,? 方程组的解是 1分 ,y,1.,19. (本题6分) 证明:方法1: ? 四边形ABCD是平行四边形，且E，F分
38、别是AD，BC的中点，? AE = CF(E A D 2分 又 ? 四边形ABCD是平行四边形， ? AD?BC，即AE?CF( B C ? 四边形AFCE是平行四边形( 3分 F (第19题) ? AF=CE( 1分 方法2: ? 四边形ABCD是平行四边形，且E，F分别是AD，BC的中点， ? BF=DE( 2分 又 ? 四边形ABCD是平行四边形， ? ?B=?D，AB=CD( ? ?ABF?CDE( 3分 ? AF=CE( 1分 HGJ222-92 technical specification for welding of aluminium and its alloys 5 low
39、 temperature steel welding procedure 6 SH3525-20 04 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 proper
40、ties 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 GB50231-2009 mechanical
41、equipment installation engineering construction and acceptance specification for 5 GB50275-98 compressor, fan and pump installation engineering construction and acceptance specification for lifting 6 HG20201-2000 construction installation engineering construction standard 7, HG . Pressure gauges, us
42、ing an installed spark arrestor for acetylene cylinders, illegal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken
43、, the responsible unit fined 200 Yuan, construction person in charge a fine of 50 Yuan. (8) no permit to work and the job in accordance with the provisions, on the job unit fined 300 yuan, the unit will charge a fine of 100 Yuan. 7.5.3 accident penalties (1) injuries fatalities directly punished 12
44、million. Direct responsibility for the accident and have the corresponding responsibility of leadership, such as concerning administrative sanctions, should be brought to the company or the relevant Department. (2) personal injury20. (本题8分) 11解:(1) ? 直线l与半径OC垂直，? ( 2分 HBAB,，,16822HB4? ， cos，,OBHOB5O
45、 55? OB=HB=8= 10( 2分 44H l (2) 在Rt?OBH中， A B 2222C ( 2分 OHOBBH=,1086(第20题) CH,1064? ( 所以将直线l向下平移到与?O相切的位置时，平移的距离是4cm( 2分 21.(本题8分) 解:(1) 参观人数最多的是15日(或周六)，有34万人; 2分 参观人数最少的是10日(或周一)，有16万人( 2分 (2) 34(74%-6%)=23.12?23( 上午参观人数比下午参观人数多23万人( 2分 (3) 答案不唯一，基本合理即可，如选择星期一下午参观等( 2分 22. (本题10分) 解:(1) ?ABC和?DEF相
46、似( 2分 AB,25AC,5根据勾股定理，得 ，BC=5 ; DE,42DF,22EF,210，( ABACBC5,? ， 3分 DEDFEF22? ?ABC?DEF( 1分 (2) 答案不唯一，下面6个三角形中的任意2个均可( 4分 ?PPD，?PPF，?PPD， B 254524D ?PPD，?PP P，?PFD( PP4524511 5 P 2 F A P 3 P4 E C 23. (本题10分) (第22题) 2解:(1) 小刚每分钟走1200?10=120(步)，每步走100?150=(米)， 32所以小刚上学的步行速度是120=80(米/分)( 2分 3小刚家和少年宫之间的路程是
47、8010=800(米)( 1分 少年宫和学校之间的路程是80(25-10)=1200(米)( 1分 1200300800300,，(2) ? (分钟)， ，,306045110所以小刚到家的时间是下午5:00( 2分 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 qualificati
48、on 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 GB50128-2005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptance of oil tank 3 JB/ T4735-1997 steel welded atmosphe