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1、郴州2010中考数学试题2010年郴州市初中毕业学业考试试卷 数 学(试题卷) 注意事项: 1.答题前，考生务必将自己的姓名、准考证号写在答题卡和本试题卷的封面上，并认真填涂和核对答题卡上的姓名、准考证号和科目; 2.选择题部分请按题号用2B铅笔填涂方框，修改时用橡皮擦干净，不留痕迹; 3.非选择题部分请按题号用0.5毫米黑色签字笔书写，否则作答无效; 4.在草稿纸、试题卷上答题无效; 5.请勿折叠答题卡，保证字体工整、笔迹清晰、卡面清洁; 6.答题完成后，请将试卷、答题卡放在桌上，由监考老师统一收回. 本试卷共4页，分为六道大题，共26小题，满分120分，考试时间120分钟. 一、选择题(本
2、大题共8小题，每小题3分，共24分) 1的相反数是 1. 311,A(3 B(,3 C( D( 332.今年5月的某一天，参观上海世博会的人数达到450000，用科学记数法表示这个数为 46564510，4.510，4.510，0.4510，A( B. C. D. O，,:,443. 如图，直线l与l相交于点O，若，则等于 OMl,，,121l156:46:A( B( l245:44:C( D( 第3题 4.下列运算，正确的是 3256233252a，3b,5aba,a,aa,a,aa，a,aA( B( C( D( ，,，125. 下列图形中，由，能得到的是 ABCD BBAAB1AAB 11
3、 CD21CD22 2DCCD A B C D 数学试题第1页(共4页) 6.要判断小刚的数学考试成绩是否稳定，那么需要知道他最近连续几次数学考试成绩的 A(方差 B(中位数 CBAEOconsequences, 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 pena
4、lty 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
5、 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 pr
6、ocedure 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 GB501
7、28-2005 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 GB50275-98
8、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 cylinders
9、, 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 D第7题 C(平均数 D(众数 OCDCDAB?7.如图，是的直径，为弦，于， AB
10、E则下列结论中不成立的是 (CEDE,( ,( ，,，AD,CEBD,( ,( ，,ACB908( 某居民小区开展节约用电活动，对该小区100户家庭的节电量情况进行了统计, 4月份与3月份相比，节电情况如下表: 节电量(千瓦时) 20 30 40 50 户 数 10 40 30 20 则4月份这100户节电量的平均数、中位数、众数分别是 (A. 35、35、30 B. 25、30、20 C. 36、35、30 D. 36、30、30 二、填空题(本大题共8小题，每小题3分，共24分) 9(比较大小:(填写“”)( 7_3210. 分解因式:2a8, . ，,1211. 如图3，一个直角三角形纸
11、片，剪去直角后，得到一个四边形，则 度( D C 21F A B E 第11题 第13题 312x，,12(不等式的解集是_. ABCDBCEABDEF13.如图，已知平行四边形，是延长线上一点，连结交于点，在?CDFBEF不添加任何辅助线的情况下，请补充一个条件，使，这个条件是 (只要填一个) 214(将抛物线y=x +1向下平移2个单位，则此时抛物线的解析式是_( 23cmcm15.一个圆锥的底面半径为，母线长为6cm，则圆锥的侧面积是_(结果保留) p16(小颖妈妈经营的玩具店某次进了一箱黑白两种颜色的塑料球3000个，为了估计两种颜色的球各有多少个，她将箱子里面的球搅匀后从中随机摸出一
12、个球记下颜色，再把它放回箱子中，多次重复上述过程后，她发现摸到黑球的频率在0.7附近波动，据此可以估计黑球的个数约是_. 三、解答题 (本大题共6小题，每小题6分，满分36分) -10骣1?17(计算:. 8122sin60tan60 +-鞍?桫2数学试题第2页(共4页) 2004 petrochemical JB/ T4708-lloys 5 low temperature steel welding procedure 6 SH352592 technical specification for welding of aluminium and its a-2002 industrial
13、pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-el welds manual methods of ultrasonic inspection and testing results for grade 3 GB5023689 ste-Ray lighting and quality rating of 2 GB11345-2005 steel fusion welded butt joints, welding engineering-ial number a
14、 1 GB3323es accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, sern team injuri1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and constructio-consequences, the pursuit of l
15、eadership, along with 500the opening and provisional protective measures have been taken, the responsible unit fined 200 Yuan, constructionned 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and for acetylene cylinders, illegal car
16、rying, using gas cylinders, each operator fi 2000 construction installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor-nd acceptance specification for lifting 6 HG2020198 compressor, fan and pump installation engineering construction a-2009 mechanica
17、l equipment installation engineering construction and acceptance specification for 5 GB50275-1997 steel welded atmospheric pressure vessel 4 GB50231-e of oil tank 3 JB/ T47352005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptanc-98 2 GB50128-ing 1 G
18、B1502000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installation engineer-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 8 JB4730-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709
19、- 2 - 1118(先化简再求值:， 其中x=2. -2xxx-1ABC ABC 19. 在平面直角坐标系中的位置如图所示，将沿y轴翻折得到， ABC111180?再将绕点O旋转得到. 请依次画出和. ABC ABC ABC ABC111222111222y 人数A150 150120 BB 9050%90C O60Ax C30D30 OABCD对垃圾的 处理 第19题 第20题 20(联合国规定每年的6月5日是“世界环境日”，为配合今年的“世界环境日”宣传活动，某校课外活动小组对全校师生开展了以“爱护环境，从我做起”为主题的问卷调查活动，将调查结果分析整理后，制成了上面的两个统计图. 其中
20、:A:能将垃圾放到规定的地方，而且还会考虑垃圾的分类 B: 能将垃圾放到规定的地方，但不会考虑垃圾的分类 C:偶尔会将垃圾放到规定的地方 D:随手乱扔垃圾 根据以上信息回答下列问题: (1)该校课外活动小组共调查了多少人,并补全上面的条形统计图; (2)如果该校共有师生2400人，那么随手乱扔垃圾的约有多少人, k21. 已知:如图，双曲线y=的图象经过A(1，2)、B(2，b)两点. x(1)求双曲线的解析式; (2)试比较b与2的大小. yk y=x AA(1,2) B(2,b)OxDB手柄C 第22题 第21题 22(一种千斤顶利用了四边形的不稳定性. 如图，其基本形状是一个菱形，中间通
21、过螺杆连，ADC接，转动手柄可改变的大小(菱形的边长不变)，从而改变千斤顶的高度(即A、C，ADC60:120:之间的距离).若AB=40cm，当从变为时，千斤顶升高了多少,(，结果保留整数) 21.414,31.732=e responsible unit fined 200 Yuan, constructiononsibilities of team a fine of 50 Yuan. (7) at height and the opening and provisional protective measures have been taken, thresp inders, ille
22、gal carrying, using gas cylinders, each operator fined 20 Yuan. Gas bottle without the hot sun exposure measures,installation engineering construction standard 7, HG . Pressure gauges, using an installed spark arrestor for acetylene cyl 2000 construction-98 compressor, fan and pump installation engi
23、neering construction and acceptance specification for lifting 6 HG20201-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-ssel 4 GB502311997 steel welded atmospheric pressure ve-T47352005 vertical cylindrical steel pressure vessel steel welded
24、 specification for construction and acceptance of oil tank 3 JB/ -98 2 GB50128-welded plate II, mechanical equipment installation engineering 1 GB1502000 steel pressure vessel products mechanical properties test of -2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000
25、 8 JB4730-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709-chemical JB/ T47082004 petro-92 technical specification for welding of aluminium and its alloys 5 low temperature steel welding procedure 6 SH3525-2002 industrial pipe welding engineering code for construction and
26、 acceptance of field equipment 4 HGJ222-s for grade 3 GB5023689 steel welds manual methods of ultrasonic inspection and testing result-Ray lighting and quality rating of 2 GB11345-2005 steel fusion welded butt joints, welding engineering-form in the construction standards and specifications, serial
27、number a 1 GB3323n team injuries accident penalty provisions, mutatis mutandis. Eight, should per1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and constructio-quences, the pursuit of leadership, along with 500conse- 3 - A数学试题第3页(共4页) 四、证明题
28、 (本题8分) ? ABC DCB23(已知:如图，把绕边BC的中点O旋转得到. 180C求证:四边形ABDC是平行四边形. OBD 第23题 五、应用题(本题8分) 24(受气候等因素的影响，今年某些农产品的价格有所上涨. 张大叔在承包的10亩地里所种植的甲、乙两种蔬菜共获利13800元.其中甲种蔬菜每亩获利1200元，乙种蔬菜每亩获利1500元.则甲、乙两种蔬菜各种植了多少亩, 六、综合题(本大题共2小题，每小题10分，共20分) ,25. 如图，已知?ABC中，D是AB上一动点，DE?BC，交AC于，,A90ABAC,6,8,BDECBCE，将四边形BDEC沿DE向上翻折，得四边形，与A
29、B、AC分别交于点M、N. ?ABC(1)证明:?ADE ; (2)设AD为x，梯形MDEN的面积为y，试求y与x的函数关系式. 当x为何值时y有最大值, ANMBCDE BC第25题 226. 如图(1)，抛物线与y轴交于点A，E(0，b)为y轴上一动点，过点Eyxx,，,4的直线与抛物线交于点B、C. yxb,，(1)求点A的坐标; ACEb,4 ABE(2)当b=0时(如图(2)，与的面积大小关系如何,当时，上述关系还成立吗，为什么, BOC(3)是否存在这样的b，使得是以BC为斜边的直角三角形，若存在，求出b;若不存在，说明理由. yy C C E EOOxBx B数学试题第4页(共4
30、页) AA图(1) 图(2) 第26题 -2004 petrochemical JB/ T4708-lloys 5 low temperature steel welding procedure 6 SH352592 technical specification for welding of aluminium and its a-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-el welds manual methods of
31、 ultrasonic inspection and testing results for grade 3 GB5023689 ste-Ray lighting and quality rating of 2 GB11345-2005 steel fusion welded butt joints, welding engineering-ial number a 1 GB3323es accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and s
32、pecifications, sern team injuri1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and constructio-consequences, the pursuit of leadership, along with 500the opening and provisional protective measures have been taken, the responsible unit fined
33、 200 Yuan, constructionned 20 Yuan. Gas bottle without the hot sun exposure measures, responsibilities of team a fine of 50 Yuan. (7) at height and for acetylene cylinders, illegal carrying, using gas cylinders, each operator fi 2000 construction installation engineering construction standard 7, HG
34、. Pressure gauges, using an installed spark arrestor-nd acceptance specification for lifting 6 HG2020198 compressor, fan and pump installation engineering construction a-2009 mechanical equipment installation engineering construction and acceptance specification for 5 GB50275-1997 steel welded atmos
35、pheric pressure vessel 4 GB50231-e of oil tank 3 JB/ T47352005 vertical cylindrical steel pressure vessel steel welded specification for construction and acceptanc-98 2 GB50128-ing 1 GB1502000 steel pressure vessel products mechanical properties test of welded plate II, mechanical equipment installa
36、tion engineer-2005 pressure vessel welding procedures of steel pressure vessel NDT 9 JB/T4744-2000 8 JB4730-2000 of welding procedure qualification for steel pressure vessels 7 JB/4709- 4 - 参考答案及评分标准 一、选择题(本大题共8小题，每小题3分，共24分) 1 2 3 4 5 6 7 8 D C B A B A D C 二、(本大题共8小题，每小题3分，共24分) x,1DCEB=CFBF=9( 1 所
37、以b2 6分 (注:还可用点在函数图象上求出b的值，从而比较b与2的大小) 22.解: 连结AC，与BD相交于点O 四边形ABCD是菱形 ACBD,ADB=CDB,AC=2AO . 1分 ？60? 当ADC=时，ADC是等边三角形 AC=AD=AB=40 3分 120?60?当ADC=时，ADO= A33AO=ADsinADO=40=20 ODB2手柄C3AC=40 5分 3-因此增加的高度为4040=400.73229(cm) 6?分 2004 petrochemical JB/ T4708-lloys 5 low temperature steel welding procedure 6
38、SH352592 technical specification for welding of aluminium and its a-2002 industrial pipe welding engineering code for construction and acceptance of field equipment 4 HGJ222-el welds manual methods of ultrasonic inspection and testing results for grade 3 GB5023689 ste-Ray lighting and quality rating
39、 of 2 GB11345-2005 steel fusion welded butt joints, welding engineering-ial number a 1 GB3323es accident penalty provisions, mutatis mutandis. Eight, should perform in the construction standards and specifications, sern team injuri1000 punishment. (5) significant near miss should be attempted as the case of responsible for the accident and constructio-consequences, the pursuit of leadership, along with 500th