湖北省黄冈市三月调考九年级数学试卷

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1、2014年湖北省黄冈市三月调考九年级数学试卷一、选择题（下列各题的备选答案中，只有一个是正确的，请将正确答案的序号填入下面表格内本大题共8小题，每小题3分，共24分）12的相反数是（）A12B-12C2D-2显示解析2如图，已知ABCD，若A=20，E=35，则C等于（）A20B35C45D55显示解析3下列运算中，不正确的是（）Aa3+a3=2a3Ba2a3=a5C（-a3）2=a9D2a3a2=2a显示解析4如图是某体育馆内的颁奖台，其左视图是（）ABCD显示解析5为了解九年级学生的视力情况，某校随机抽取50名学生进行视力检查，结果如下：视力4.6以下4.64.74.84.95.05.0以

2、上人数（人）615510347这组数据的中位数是（）A4.6B4.7C4.8D4.9显示解析6如图，弦CD垂直于O的直径AB，垂足为H，且CD=22，BD=3，则AB的长为（）A2B3C4D5显示解析7在平面直角坐标系中有两点A（6，2），B（6，0），以原点为位似中心，相似比为1：2则线段AB的对应线段AB的长为（）A1B2C1或4D2或6显示解析8如图，平面直角坐标系中，在边长为1的正方形ABCD的边上有一动点P沿ABCDA运动一周，则P的纵坐标y与点P走过的路程s之间的函数关系用图象表示大致是（）ABCD显示解析二、填空题（本大题共7小题，每小题3分，共21分请把答案填在题中横线上）9分

3、解因式：3a2-27=显示解析10联合国环境规划署发布报告称：2008年尽管全球投资市场普遍疲软，但在中国等发展中国家的带动下，全球可持续投资再创历史新高，达1 550亿美元，这个数用科学记数法可表示为美元显示解析11若x1，x2是一元二次方程x2-2x-1=0的两根，则x1x2-x1-x2=显示解析12已知：平面直角坐标系中有一点A（2，1），若将点A向左平移4个单位，再向下平移2个单位得到点A1，则点A1的坐标是显示解析13化简x29x2+6x+9x3x+3=显示解析14已知：扇形OAB的半径为12厘米，AOB=150，若由此扇形围成一个圆锥的侧面，则这个圆锥底面圆的半径是厘米显示解析15

4、有两张完全重合的矩形纸片，小亮同学将其中一张绕点A顺时针旋转90后得到矩形AMEF（如图1），连结BD、MF，若此时他测得ADB=30小红同学用剪刀将BCD与MEF剪去，与小亮同学探究他们将ABD绕点A顺时针旋转得AB1D1，AD1交FM于点K（如图2），设旋转角为（090），当AFK为等腰三角形时，则旋转角的度数为显示解析三解答题（本大题共10小题，满分共75分）16解分式方程：xx2+6x+21显示解析17整理一批图书，如果由一个人单独做要花60小时现先由一部分人用一小时整理，随后增加15人和他们一起又做了两小时，恰好完成整理工作假设每个人的工作效率相同，那么先安排整理的人员有多少人？显示

5、解析18如图，AE=AF，点B、D分别在AE、AF上，四边形ABCD是菱形，连接EC、FC求证：EC=FC显示解析19如图，反比例函数y=kx的图象与直线y=x+m在第一象限交于点P（6，2），A、B为直线上的两点，点A的坐标为2，点B的横坐标为3D、C为反比例函数图象上的两点，且AD、BC平行于y轴（1）直接写出k，m的值；（2）求梯形ABCD的面积显示解析20“立定跳远”是我市初中毕业生体育测试项目之一测试时，记录下学生立定跳远的成绩，然后按照评分标准转化为相应的分数，满分10分其中男生立定跳远的评分标准如下：注：成绩栏里的每个范围，含最低值，不含最高值成绩（米）1.801.861.861

6、.941.942.022.022.182.182.342.34得分（分）5678910某校九年级有480名男生参加立定跳远测试，现从中随机抽取10名男生测试成绩（单位：分）如下：1.962.382.562.042.342.172.602.261.872.32请完成下列问题：（1）求这10名男生立定跳远成绩的平均数；（2）如果将9分以上定为“优秀”，请你估计这480名男生中得优秀的人数显示解析21如图，放在直角坐标系中的正方形ABCD的边长为4现做如下实验：转盘被划分成4个相同的小扇形，并分别标上数字1，2，3，4，分别转动两次转盘，转盘停止后，指针所指向的数字作为直角坐标系中M点的坐标（第一次

7、作横坐标，第二次作纵坐标），指针如果指向分界线上，则重新转动转盘（1）请你用树状图或列表的方法，求M点落在正方形ABCD面上（含内部与边界）的概率；（2）将正方形ABCD平移整数个单位，则是否存在某种平移，使点M落在正方形ABCD面上的概率为34？若存在，指出一种具体的平移过程；若不存在，请说明理由显示解析22如图，在一张圆桌（圆心为点O）的正上方点A处吊着一盏照明灯，实践证明：桌子边沿处的光的亮度与灯距离桌面的高度AO有关，且当sinABO=63时，桌子边沿处点B的光的亮度最大，设OB=60cm，求此时灯距离桌面的高度OA（结果精确到1cm）（参考数据：21.414；31.732；52.23

8、6）显示解析23在RtABC中，BC=9，CA=12，ABC的平分线BD交AC与点D，DEDB交AB于点E（1）设O是BDE的外接圆，求证：AC是O的切线；（2）设O交BC于点F，连接EF，求EFAC的值显示解析24某品牌汽车厂为其销售公司包火车皮运输汽车，其中包火车皮的费用为15000元，汽车厂每辆汽车按以下方式与销售公司结算：若运输汽车数在30辆或30辆以下，运输每辆汽车收费900元；若运输汽车数多于30辆，则给予优惠，每多1辆，每辆车运输费用减少10元，但运输汽车数最多75辆，那么运输汽车数为多少时，某品牌汽车厂可获得的利润最大？显示解析25如图，在平面直角坐标系中，矩形OABC的两边O

9、A、OC分别在x轴、y轴的正半轴上，OA=4，OC=2点P从点O出发，沿x轴以每秒1个单位长的速度向点A匀速运动，当点P到达点A时停止运动，设点P运动的时间是t秒将线段CP的中点绕点P按顺时针方向旋转90得点D，点D随点P的运动而运动，连接DP、DA（1）请用含t的代数式表示出点D的坐标；（2）求t为何值时，DPA的面积最大，最大为多少？（3）在点P从O向A运动的过程中，DPA能否成为直角三角形？若能，求t的值若不能，请说明理由；（4）请直接写出随着点P的运动，点D运动路线的长QcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3P

10、tGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3P tGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgK tGZ7R4I

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12、A3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3Pt

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21、7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3Pt

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23、qA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7

24、XAv HhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2O

25、HUm32WGeaUwYDIAWGeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGshLs50cLmTWN60eo8Wgqv7XAv2OHUm32WGeaUwYDIAWGMeR4I30kA1DkaGhn3XtKknBYCUDxqA7FHYi2CHhI92tgKQcWA3PtGZ7R4I30kA1DkaGtgKQcWA3PtGZ7R4I30kA1DkaGhn3XtKknBYCUDxqA7

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