2022年上海市中考数学试题及解析 .pdf
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1、2018 年上海市初中毕业统一学业考试数学试卷(满分 150 分,考试时间 100 分钟)一、选择题(本大题共6 题,每题 4 分,满分 24 分。下列各题的四个选项中,有且只有一个选项是正确的)1(4 分)下列计算的结果是()A4 B3 C 2 D 2(4 分)下列对一元二次方程x2+x3=0 根的情况的判断,正确的是()A有两个不相等实数根B有两个相等实数根C有且只有一个实数根D没有实数根3(4 分)下列对二次函数y=x2x 的图象的描述,正确的是()A开口向下B对称轴是 y 轴C经过原点D 在对称轴右侧部分是下降的4(4 分)据统计,某住宅楼30 户居民五月份最后一周每天实行垃圾分类的户
2、数依次是:27,30,29,25,26,28,29,那么这组数据的中位数和众数分别是()A25 和 30 B25 和 29 C28 和 30 D28 和 295(4 分)已知平行四边形ABCD,下列条件中,不能判定这个平行四边形为矩形的是()AA=B BA=C CAC=BD DAB BC6(4 分)如图,已知 POQ=30,点 A、B在射线 OQ 上(点 A在点 O、B之间),半径长为 2 的A与直线 OP相切,半径长为 3 的B与A相交,那么 OB的取值范围是()A5OB 9 B4OB 9 C 3OB 7 D2OB 7二、填空题(本大题共12 题,每题 4 分,满分 48分)7(4 分)8
3、的立方根是8(4 分)计算:(a+1)2a2=9(4 分)方程组的解是10(4 分)某商品原价为 a 元,如果按原价的八折销售,那么售价是元(用含字母 a 的代数式表示)11(4 分)已知反比例函数 y=(k 是常数,k1)的图象有一支在第二象限,那么 k 的取值范围是12(4 分)某校学生自主建立了一个学习用品义卖平台,已知九年级200 名学生义卖所得金额的频数分布直方图如图所示,那么2030 元这个小组的组频率是13(4 分)从,这三个数中选一个数,选出的这个数是无理数的概率为14(4 分)如果一次函数 y=kx+3(k 是常数,k0)的图象经过点(1,0),那么 y 的值随 x 的增大而
4、(填“增大”或“减小”)15(4 分)如图,已知平行四边形ABCD,E 是边 BC的中点,联结 DE并延长,与 AB的延长线交于点 F设=,=那么向量用向量、表示为文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5
5、A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6
6、E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6
7、K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4
8、L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ
9、2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O
10、10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O316
11、(4 分)通过画出多边形的对角线,可以把多边形内角和问题转化为三角形内角和问题 如果从某个多边形的一个顶点出发的对角线共有2 条,那么该多边形的内角和是度17(4 分)如图,已知正方形DEFG 的顶点 D、E在ABC的边 BC上,顶点 G、F分别在边AB、AC 上如果BC=4,ABC的面积是6,那么这个正方形的边长是18(4 分)对于一个位置确定的图形,如果它的所有点都在一个水平放置的矩形内部或边上,且该图形与矩形的每条边都至少有一个公共点(如图1),那么这个矩形水平方向的边长称为该图形的宽,铅锤方向的边长称为该矩形的高如图 2,菱形 ABCD 的边长为 1,边 AB水平放置如果该菱形的高是宽
12、的,那么它的宽的值是三、解答题(本大题共7 题,满分 78 分)19(10分)解不等式组:,并把解集在数轴上表示出来20(10分)先化简,再求值:(),其中 a=21(10分)如图,已知 ABC中,AB=BC=5,tan ABC=(1)求边 AC的长;(2)设边 BC的垂直平分线与边AB的交点为 D,求的值文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6
13、K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4
14、L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ
15、2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O
16、10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档
17、编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5
18、A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6
19、E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O322(10 分)一辆汽车在某次行驶过程中,油箱中的剩余油量y(升)与行驶路程 x(千米)之间是一次函数关系,其部分图象如图所示(1)求 y 关于 x 的函数关系式;(不需要写定义域)(2)已知当油箱中的剩余油量为8 升时,该汽车会开始提示加油,在此次行驶过程中,行驶了500 千米时,司机发现离前方最近的加油站有30 千米的路程,在开往该加油站的途中,汽车开始提示加油,这时离加油站的路程是多少千米?23(12 分)已知:如图,正方形ABCD 中,P是边 BC
20、上一点,BE AP,DF AP,垂足分别是点 E、F(1)求证:EF=AE BE;(2)联结 BF,如课=求证:EF=EP 24(12分)在平面直角坐标系xOy中(如图)已知抛物线 y=x2+bx+c 经过点 A(1,0)和点 B(0,),顶点为 C,点 D在其对称轴上且位于点C下方,将线段 DC绕点 D按顺时针方向旋转90,点 C落在抛物线上的点P处(1)求这条抛物线的表达式;(2)求线段 CD的长;文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q
21、6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX
22、6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K
23、4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 Z
24、J2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7
25、O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文档编码:CD5A6Q5Q6E2 HX6K3D9K4L10 ZJ2J4T7O10O3文
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