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中考数学得分专练2一、精心选一选,相信自己的判断!(本题共12小题,每小题3分,共36分,在每小题给出的四个选项中只有一项是符合题目要求的,不涂、错涂或涂的代号超过一个,一律得0分)1.2008的相反数是()A.2008B.2008C.12008D.120082.以“和谐之旅”为主题北京奥运会火炬接力,传递总里程约为137000千米,这个数据用科学记数法可表示为()A.313.710千米B.413.710千米C.513.710千米D.613.710千米3.在算式435□中的□所在位置,填入下列哪种运算符号,计算出来的值最小()A.B.C.D.4.一几何体的三视图如右,这个几何体是()A.圆锥B.圆柱C.三棱锥D.三棱柱5.我市5月份某一周每天的最高气温统计如下:最高气温(℃)28293031天数1132则这组数据(最高气温)的众数与中位数分别是()A.29,30B.30,29C.30,30D.30,316.下列运算中正确的是()A.336xyxB.235()mmC.22122xxD.633()()aaa7.如图ab∥,MN,分别在ab,上,P为两平行线间一点,那么123()A.180B.270C.360D.5408.下列曲线中,表示y不是x的函数是()俯视图左视图主视图(第4题图)abMPN123(第7题图)9.下列图形中,既是轴对称图形又是中心对称图形的是()A.菱形B.梯形C.正三角形D.正五边形10.把抛物线2yx向左平移1个单位,然后向上平移3个单位,则平移后抛物线的解析式为()A.2(1)3yxB.2(1)3yxC.2(1)3yxD.2(1)3yx11.RtABC△中,90C,8AC,6BC,两等圆A,B外切,那么图中两个扇形(即阴影部分)的面积之和为()A.254B.258C.2516D.253212.一个质点在第一象限及x轴、y轴上运动,在第一秒钟,它从原点运动到(01),,然后接着按图中箭头所示方向运动[即(00)(01)(11)(10),,,,…],且每秒移动一个单位,那么第35秒时质点所在位置的坐标是()A.(40),B.(50),C.(05),D.(55),二、细心填一填,试自己的身手!(本大题共6小题,每小题3分,共18分,请将结果直接填写在答题卡相应位置上)13.反比例函数kyx的图像过点(23),,则k.14.某校九年级一班数学单元测试全班所有学生成绩的频数分布直方图如图所示(满分100分,学生成绩取整数),则成绩在90.5~95.5这一分数段的频率是.A.xyOB.xyOC.xyOD.xyO(第11题图)ABC0123xy123…(第12题图)(第14题图)学生数14101520成绩90.575.580.585.595.510015.如图,ABAC,120BAC,AB的垂直平分线交BC于点D,那么ADC.16.不等式组84113422xxxx≥的解集是.17.在实数范围内定义运算“☆”,其规则为:22abab☆,则方程(43)13x☆☆的解为x.18.四个全等的直角三角形围成一个大正方形,中间空出的部分是一个小正方形,这样就组成了一个“赵爽弦图”(如图).如果小正方形面积为1,大正方形面积为25,直角三角形中较小的锐角为,那么sin.三、用心做一做,显显自己的能力!19.(本题满分6分)请你先将式子2200811211aaaa化简,然后从1,2,3中选择一个数...作为a的值代入其中求值.20.(本题满分8分)宽与长的比是512的矩形叫黄金矩形,心理学测试表明,黄金矩形令人赏心悦目,它给我们以协调,匀称的美感,现将同学们在教学活动中,折叠黄金矩形的方法归纳出以下作图步骤(如图所示):第一步:作一个任意正方形ABCD;第二步:分别取ADBC,的中点MN,,连接MN;第三步:以N为圆心,ND长为半径画弧,交BC的延长线于E;第四步:过B作EFAD交AD的延长线于F,请你根据以上作法,证明矩形DCEF为黄金矩形,(可取2AB)ABCD(第15题图)(第18题图)ABCDEFMN(第20题图)一、选择题题号123456789101112答案ACCDCDCBADAB二、填空题13.614.0.415.6016.3x17.618.35(或0.6)说明:第14题答25不扣分;第17题只答对一题给2分.三、解答题19.解:原式2200811(1)1aaaa·····································································2分220081(1)aaaa····························································································3分20081a········································································································4分取2a,原式2008.(取3a,原式1004)··············································6分20.证明:在正方形ABCD中,取2ABN为BC的中点,112NCBC···························································································2分在RtDNC△中,2222125NDNCCD········································4分又NEND,51CENENC,············································································6分512CECD.··························································································7分故矩形DCEF为黄金矩形.·············································································8分
本文标题:中考数学得分专练2
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