2010中考数学衡阳试题

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 数 学 : 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,,2 11,2, A. B. 2 C. D. 22 1312.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( ) nn2 6321A( 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. 2322 1 3 2 ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※姓名 班级 座号 ※※※※※※※※※※※※※第3题 第4题 ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ the smooth progress of the construction. 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, 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 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 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 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 (67~69) ?, 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ΔCEF的周长为( ) 42 A.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 (。 ,3xyxy 9(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示为 亿斤( 10(某校九年级(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 construction. 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, 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 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 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 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 (67~69) ?, and in 69 ? www.xkb1.com 新课标第一网不用注册～免费下载 第13题 第14题 B Rt?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 ※※※※※※※2※※※※※※※xx,,4416((8分) 先化简再求值:，其中()x,,※※※※※※※ xx,,33※※※※※※※※※※※※※※x,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 progress 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. 3.3. 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 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 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 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 (67~69) ?, and in 69 ?※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※ 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1000 C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 ' 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 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 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, 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 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 (67~69) ?, and in 69 ? ※※※※※※※※※※※※※※※※姓名 班级 座号 ※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ ※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※※ www.xkb1.com 新课标第一网不用注册～免费下载 1(1)求证:; DEBC,2 5(2)若，求的长( ADtan2CDE,,，2 21(,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，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( (2)?ECF的周长是否有变化,请说明理由( 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车, (2)如果工厂招聘n(0