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1、2010中考数学衡阳试题2010年湖南省衡阳市初中学业水平暨高级中等学校招生考试试卷 数 学 注意事项: 1(本试卷共8页，三大题，满分100分，考试时间100分钟。请用钢笔或圆珠笔直接答在试卷上。 2(答卷前将密封线内的项目填写清楚 第一题 第二题 第三题 总分 参考题 号 1-6 7-15 16 17 18 19 20 21 22 23 公式:得 分 y=a2x+bx+c(a?0)图像的 得分 评卷人 一选择题,每小题3分共18分, 下列各小题均有四个答案其中只有一个正确答案请把 正确答案写在题后的括号内。 2,b4ac,b1,顶点坐标是:,1(的绝对值是 2a4a,211,2, A. B
2、. 2 C. D. 221312.从个苹果和个雪梨中，任选个，若选中苹果的概率是，则的值是( ) nn26321A( B( C( D( ，,，,130250?，?，33(如图，将三角尺的直角顶点放在直尺的一边上，则的度数等于( ) 50?30?20?15?A( B( C( D( oo4(如图，已知?O的两条弦AC，BD相交于点E，?A=70，?c=50， 那么sin?AEB的值为( ) 2331 A. B. C. D. 23221 3 2 姓名 班级 座号 第3题 第4题 the smooth progress of the construction. 6, coordination with
3、 neighboring residents and neighboring residents initiative to get in touch, construction progress, reasonable construction time, take positive and effective measures to reduce construction nuisance, so that normal construction smoothly. 3.3. technological measures 1, demolition (modified) according
4、 to investigation of construction, the demolition of the project (modified) was mainly railway railway automatic blocking power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigation canals of luanhe. In order to let construction proceed smoothly
5、, our units will deploy this unit engaged in demolition and land expropriation, professionals with rich experience in demolition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparations (1), construction drawings review and on-site checks, prep
6、aration of audit reports. (2) preparation of construction organization design for implementation, clear construction scheme and key process technology gives the low-down. (3) prepare the necessary code for construction and acceptance of technical data. (4) construction feature of the project, prepar
7、ation of technical management and implementation details. (5) before construction of the Engineering Department, quality Department, material and equipment Department and Planning Department staff to focus on heating to (6769) ?, and in 69 ? 5(某农机厂四月份生产零件50万个，第二季度共生产零件182万个.设该厂五、六月份 平均每月的增长率为x，那么x满足
8、的方程是( ) 22A、 B( 50(1，x),18250，50(1，x)，50(1，x),182C、50(1+2x),182 D( 50，50(1，x)，50(1，2x),1826(如图6，在ABCD中，AB=6，AD=9，?BAD的平分线交BC于点E，交DC的延长线于点F，BG?AE，垂足为G，BG=，则CEF的周长为( ) 42A.8 B.9.5 C.10 D.11.5 得分 评卷人 二填空题(每空3分共27分) 7(3的绝对值是 mm，523n8(1若与的和是单项式，则n (。 ,3xyxy9(据统计，去年我国粮食产量达10570亿斤，这个数用科学记数法可表示为 亿斤( 10(某校九年
9、级(2)班(1)组女生的体重(单位:kg)为:38，40，35，36，65，42，42，则这组数据的中位数是 ( 11(如图所示，AB?CD，?ABE,66?，?D,54?，则?E的度数为_( k12(如图，已知双曲线经过直角三角形OAB斜边OB的中点D，与直角y,(k,0)x边AB相交于点C(若?OBC的面积为3，则k,_( 第11题 第12题 mm13(如图，已知零件的外径为25，现用一个交叉卡钳(两条尺长AC和BD相等，OC=OD)量零件的内孔直径AB(若OC?mmOA=1?2，量得CD,10，则零件的厚度xmm,_( the smooth progress of the constru
10、ction. 6, coordination with neighboring residents and neighboring residents initiative to get in touch, construction progress, reasonable construction time, take positive and effective measures to reduce construction nuisance, so that normal construction smoothly. 3.3. technological measures 1, demo
11、lition (modified) according to investigation of construction, the demolition of the project (modified) was mainly railway railway automatic blocking power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigation canals of luanhe. In order to let co
12、nstruction proceed smoothly, our units will deploy this unit engaged in demolition and land expropriation, professionals with rich experience in demolition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparations (1), construction drawings revi
13、ew and on-site checks, preparation of audit reports. (2) preparation of construction organization design for implementation, clear construction scheme and key process technology gives the low-down. (3) prepare the necessary code for construction and acceptance of technical data. (4) construction fea
14、ture of the project, preparation of technical management and implementation details. (5) before construction of the Engineering Department, quality Department, material and equipment Department and Planning Department staff to focus on heating to (6769) ?, and in 69 ? 新课标第一网不用注册免费下载 第13题 第14题 B Rt?
15、ABC?CACBC,9042?，ACBC14(如图7，在中，分别以.为直径画半圆，则图中阴影部分的面积为 (结果保留) ,A C 15(如下图是一组有规律的图案，第1个 图案由4个基础图形组成，第2个图 案由7个基础图形组成，第(n是正整数)个图案中由 个基础图n形组成( - (3) (1) (2) 三解答题,本大题8个小题共75分, 得分 评卷人 2xx,4416(8分) 先化简再求值:，其中()x, xx,33x,5( 得分 评卷人 17(,9分,已知:如图，在等边三角形ABC的AC边上取中点 D，BC的延长线上取一点E，使 CE , CD(求证:BD , DE( the smooth p
16、rogress of the construction. 6, coordination with neighboring residents and neighboring residents initiative to g第 3 页 共 7 页 et in touch, construction progress, reasonable construction time, take positive and effective measures to reduce construction nuisance, so that normal construction smoothly. 3
17、.3. technological measures 1, demolition (modified) according to investigation of construction, the demolition of the project (modified) was mainly railway railway automatic blocking power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigation ca
18、nals of luanhe. In order to let construction proceed smoothly, our units will deploy this unit engaged in demolition and land expropriation, professionals with rich experience in demolition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparatio
19、ns (1), construction drawings review and on-site checks, preparation of audit reports. (2) preparation of construction organization design for implementation, clear construction scheme and key process technology gives the low-down. (3) prepare the necessary code for construction and acceptance of te
20、chnical data. (4) construction feature of the project, preparation of technical management and implementation details. (5) before construction of the Engineering Department, quality Department, material and equipment Department and Planning Department staff to focus on heating to (6769) ?, and in 69
21、 ? 得分 评卷人 18(,9分,在“首届中国西部(银川)房?车生活文化节”期ABCD、间，某汽车经销商推出四种型号的小轿车共1000C辆进行展销(型号轿车销售的成交率为50%，其它型号轿车的销售情况绘制在图1和图2两幅尚不完整的统计图中( (1)参加展销的D型号轿车有多少辆, (2)请你将图2的统计图补充完整; (3)通过计算说明，哪一种型号的轿车销售情况最好, ABCD、(4)若对已售出轿车进行抽奖，现将已售出四种型号轿车的发票(一车一票)放到一起，从中随机抽取一张，求抽到A型号轿车发票的概率( 得分 评卷人 19(,9分,为申办2010年冬奥会，须改变哈尔滨市的交通状况。在大直街拓宽工程
22、中，要伐掉一棵树AB，在地面上事先划定以B为圆心，半径与AB等长的圆形危险区，现在某工人站在离B点3米远的D处，从C点测得树的顶端A点的仰角为60?，树的底部B点的俯角为30?. 问:距离B点8米远的保护物是否在危险区内,9分 A 60:C30: DB 得分 评卷人 Rt?ABC，,ABC90?AB20(,9分,如图， 中，以为直?OACBCDDE径的交于点，过点的切线交于( the smooth progress of the construction. 6, coordination with neighboring residents and neighboring residents
23、initiative to get in touch, construction progress, reasonable construction time, take positive and effective measures to reduce construction nuisance, so that normal construction smoothly. 3.3. technological measures 1, demolition (modified) according to investigation of construction, the demolition
24、 of the project (modified) was mainly railway railway automatic blocking power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigation canals of luanhe. In order to let construction proceed smoothly, our units will deploy this unit engaged in demo
25、lition and land expropriation, professionals with rich experience in demolition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparations (1), construction drawings review and on-site checks, preparation of audit reports. (2) preparation of cons
26、truction organization design for implementation, clear construction scheme and key process technology gives the low-down. (3) prepare the necessary code for construction and acceptance of technical data. (4) construction feature of the project, preparation of technical management and implementation
27、details. (5) before construction of the Engineering Department, quality Department, material and equipment Department and Planning Department staff to focus on heating to (6769) ?, and in 69 ? 姓名 班级 座号 新课标第一网不用注册免费下载 1(1)求证:; DEBC,25(2)若，求的长( ADtan2CDE,，221(,10分,(如图，在正方形ABCD中，点E、F分别在BC、得分 评卷人 CD上移动
28、，但A到EF的距离AH始终保持与AB长相等，问在E、F移动过程中: (1)?EAF的大小是否有变化,请说明理由( d=r 直线L和O相切.(2)?ECF的周长是否有变化,请说明理由( 8、加强作业指导、抓质量。得分 评卷人 22(,10分,某汽车制造厂开发了一款新式电动汽车，计划一年生产安装240辆。由于抽调不出足够的熟练工来完成新式电动汽 车的安装，工厂决定招聘一些新工人;他们经过培训后上岗，也能独立进行电动汽车的安装。生产开始后，调研部门发现:1名熟练工和2名新工人每月可安装8辆电动汽车;2名熟练工和3名新工人每月可安装14辆电动汽车。 (1)每名熟练工和新工人每月分别可以安装多少辆电动汽
29、车, (2)如果工厂招聘n(0n10)名新工人，使得招聘的新工人和抽调的熟练工刚好能完成(2、会数，会读，会写100以内的数，在具体情境中把握数的相对大小关系，能够运用数进行表达和交流，体会数与日常生活的密切联系。the smooth progress of the construction. 6, coordination with neighboring residents and neighboring residents initiative to g第 5 页 共 7 页 et in touch, construction progress, reasonable construct
30、ion time, take positive and effective measures to reduce construction nuisance, so that normal construction smoothly. 3.3. technological measures 1, demolition (modified) according to investigation of construction, the demolition of the project (modified) was mainly railway railway automatic blockin
31、g power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigation canals of luanhe. In order to let construction proceed smoothly, our units will deploy this unit engaged in demolition and land expropriation, professionals with rich experience in de
32、molition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparations (1), construction drawings review and on-site checks, preparation of audit reports. (2) preparation of construction organization design for implementation, clear construction sch
33、eme and key process technology gives the low-down. (3) prepare the necessary code for construction and acceptance of technical data. (4) construction feature of the project, preparation of technical management and implementation details. (5) before construction of the Engineering Department, quality
34、 Department, material and equipment Department and Planning Department staff to focus on heating to (6769) ?, and in 69 ?3、观察身边的简单物体，初步体会从不同角度观察物体所看到的形状可能是不同的，学生将经历从立体图形到平面图形的过程,认识长方形、正方形、三角形、圆等平面图形，初步体会面在体上，进一步发展空间观念。一年的安装任务，那么工厂有哪几种新工人的招聘方案, (3)在(2)的条件下，工厂给安装电动汽车的每名熟练工每月发2000元的工资，给每名新工人每月发1200元的工资
35、，那么工厂应招聘多少名新工人，使新工人的数量多于熟练工，同时工厂每月支出的工资总额W(元)尽可能的少, 3、观察身边的简单物体，初步体会从不同角度观察物体所看到的形状可能是不同的，学生将经历从立体图形到平面图形的过程,认识长方形、正方形、三角形、圆等平面图形，初步体会面在体上，进一步发展空间观念。 得分 评卷人 ABC23(,11分,已知:等边三角形的边长为4厘米，长为1MN?ABCABAB厘米的线段在的边上沿方向以1厘米/秒的 NBMAB速度向点运动(运动开始时，点与点重合，点到达点MN、?ABCAB时运动终止)，过点分别作边的垂线，与的其MN它边交于两点，线段运动的时间为秒( PQ、tMN
36、(1)线段在运动的过程中，为何值时，四边形恰为矩形,并求出该矩形的面MNQPt积; MNS(2)线段在运动的过程中，四边形MNQP的面积为，运动的时间为(求四边形tSMNQP的面积随运动时间变化的函数关系式，并写出自变量的取值范围( tt C Q P the smooth progress of the construction. 6, coordination with neighboring residents and neighboring residents initiative to get in touch, construction progress, reasonable co
37、nstruction time, take positive and effective measures to reduce construction nuisance, so that normal construction smoothly. 3.3. technological measures 1, demolition (modified) according to investigation of construction, the demolition of the project (modified) was mainly railway railway automatic
38、blocking power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigation canals of luanhe. In order to let construction proceed smoothly, our units will deploy this unit engaged in demolition and land expropriation, professionals with rich experienc
39、e in demolition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparations (1), construction drawings review and on-site checks, preparation of audit reports. (2) preparation of construction organization design for implementation, clear construct
40、ion scheme and key process technology gives the low-down. (3) prepare the necessary code for construction and acceptance of technical data. (4) construction feature of the project, preparation of technical management and implementation details. (5) before construction of the Engineering Department,
41、quality Department, material and equipment Department and Planning Department staff to focus on heating to (6769) ?, and in 69 ? B M N A (1) 弧长公式: 弧长 (R表示圆的半径, n表示弧所对的圆心角的度数) 新课标第一网不用注册免费下载 C P 定义：在RtABC中，锐角A的邻边与斜边的比叫做A的余弦，记作cosA，即;Q B M N A C 对称轴：x=Q P 初中阶段，我们只学习直角三角形中，A是锐角的正切；B A M N 函数的增减性：the sm
42、ooth progress of the construction. 6, coordination with neighboring residents and neighboring residents initiative to g第 7 页 共 7 页 et in touch, construction progress, reasonable construction time, take positive and effective measures to reduce construction nuisance, so that normal construction smoot
43、hly. 3.3. technological measures 1, demolition (modified) according to investigation of construction, the demolition of the project (modified) was mainly railway railway automatic blocking power supply, railway communications, signal cables and related facilities and pipelines and cables and irrigat
44、ion canals of luanhe. In order to let construction proceed smoothly, our units will deploy this unit engaged in demolition and land expropriation, professionals with rich experience in demolition and land acquisition and actively cooperate with the owners to do demolition work. 2, the technical preparations (1), construction drawings review and on-site chec