2009学年第一学期九年级数学独立作业(一)一、选择题(本大题有10小题.每小题3分.共30分)题号12345678910答案BADCACBBDA二、填空题(本题有6个小题,每题4分共24分)11、-912、2)1(2x13、1514、(答案不唯一)15、(-4,3)16、(6,0)或(0,-32)三解答题(本大题有7小题,共66分)17、(1)计算:=43212………(2分)=0……………………(1分)(2)解:去分母得xxxx36222……(1分)解得:6x…………………………(1分)经检验6x是原方程的根………(1分)∴原方程的根是6x18、(1)△ABF和△DEA。………(2分)(2)证明:(略)………………………(4分)19、(本小题6分)(1)20.(本题8分)(1)(略)(2)221、解:8lBCACB∥,.RtABC△中,6tan421tan7ABABBCBC,≈.根据题意,得22242(6)hh,144(cm)h.答:铅锤P处的水深约为144cm.(2)2132)()(构成等腰三角形构成三角形PP22、(1)被抽查的居民中,人数最多的年龄段是21~30岁;………(2分)(2)21~30岁年龄段的满意人数为93分,补全图22-2(略);………(3分)(3)21~30岁年龄段对博览会总体印象满意率为:%79%100%3930093………(2分)41~50岁年龄段对博览会总体印象满意率为:%89%100%1530040………(2分)∴41~50岁比21~30岁年龄段对博览会总体印象满意率高10%………(1分)23、解:(1)6020yx.···········································································3分(2)56.·····································································································2分67.·····································································································2分(3)当60a时,n个条形钢做成护栏长度为6020n,当50a时,()nk个条钢做成护栏长度为50()30nk.根据题意,得602050()30nnk.···················································3分说明:第(3)问中关系式变形后为51nk均得分24、(1)当x=1时,点F与C重合;当x=1.5时,点E与点C重合;(4分)(2)2123xS(0<x≤1);23312352xxS(1<x≤1.5);33432xxS(1.5<x≤2)(3)能,点D坐标分别为)0,56(或)0,34(时,△DEF为直角三角形。