2026届西安市九年级数学月考巩固原创模拟试卷第047套（含答案详解与评分标准）

考试名称：2026届西安市九年级数学月考巩固原创模拟试卷第047套（含答案详解与评分标准）考试时间：120分钟满分：120分题号范围：1—23题注意事项：1.本卷为九年级数学月考巩固用卷，分为选择题、填空题和解答题三部分；全卷共23题。2.答题前请核对题号，选择题选出唯一正确答案，填空题写出最简结果，解答题必须写出必要的推理、计算或证明过程。3.作图题和几何题可在题目空白处画辅助图；不得使用计算器，必要时结果可保留根号、π或分数。4.试题正文结束后另页提供参考答案与解析，教师可按评分标准进行分层讲评。题型选择题填空题解答题总分题号1—89—1415—231—23分值24分18分78分120分得分一、选择题（本大题共8小题，每小题3分，共24分。每小题只有一个选项符合题意）1.（3分）下列各数−9，0，13，π，A.2个B.3个C.4个D.5个2.（3分）某地铁站一个月客流量约为5860000人，将5860000用科学记数法表示为（）A.0.586×107B.5.86×3.（3分）一元二次方程x2A.2，3B.−2,4.（3分）把抛物线y=A.y=2x+125.（3分）一个多边形的内角和是其外角和的3倍，则这个多边形的边数为（）A.6B.7C.8D.96.（3分）在平面直角坐标系中，点A−A.2,−3B.−27.（3分）袋中有2个红球、3个白球、1个蓝球，这些球除颜色外完全相同。随机不放回地摸出2个球，两个球颜色不同的概率是（）A.415B.715C.118.（3分）过圆外点P作⊙O的两条切线PA、PB，切点分别为A、B。若⊙O半径为5，A.8B.10C.11D.12二、填空题（本大题共6小题，每小题3分，共18分）9.（3分）因式分解：x210.（3分）若a=5+2，11.（3分）一次函数y=kx+b的图象经过点012.（3分）若关于x的一元二次方程x213.（3分）在半径为6的圆中，圆心角∠A14.（3分）一组数据8，9，9，10，12，13的中位数是__________。

三、解答题（本大题共9小题，共78分。解答应写出文字说明、证明过程或演算步骤）15.（8分）计算或解不等式组。（1）−3+12−________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________16.（8分）完成下列代数运算。（1）解方程x2−4________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________17.（8分）如图形描述：在△ABC中，AB=AC________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________18.（8分）已知直线y=−x______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________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19.（10分）某校九年级为了解学生“1分钟定点投篮”情况，随机抽取60名学生，每人投篮5次，命中次数统计如下表。命中次数012345人数261218148（1）求这60名学生命中次数的平均数、中位数和众数；（2）若用扇形统计图表示“命中4次及以上”的人数，求该扇形圆心角度数；（3）若从命中5次的8名学生中随机选2名参加展示，其中甲、乙也在这8人中，求甲、乙同时被选中的概率。________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________20.（10分）某文创店购进A、B两种纪念书签共80枚。A书签进价8元/枚，B书签进价6元/枚，总进价560元；销售标价为A书签12元/枚，B书签9元/枚。（1）求A、B两种书签各购进多少枚；（2）活动首日从库存中取60枚销售，其中A书签为x枚，B书签为60−________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________21.（10分）在⊙O中，AB为直径，点C在⊙O上，AC=6，BC=________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

22.（8分）已知抛物线y=−x2+________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________23.（8分）如图形描述：正方形ABCD的边长为6，E为BC的中点，点P在AB上运动，设AP=x 0≤x_______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________