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平谷区2022届初三第一学期期末数学试题及答案(官方版)

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平平谷区谷区2020~~2021学年度第一学期期末质量监控试卷评分标准学年度第一学期期末质量监控试卷评分标准初初三三数数学学2022年1月一、选择题(本题共16分,每小题2分)二、填空题(本题共16分,每小题2分)题号910111213141516答案2x35°3691k130°5三、解答题(本题共68分,第17~22题,每小题5分,第23~26题,每小题6分,第27、28题,每小题7分)解答应写出文字说明、演算步骤或证明过程.17.解:=3322322+−+·····································································4=2································································································518.(1)证明:∵∠ACD=∠ABC1∠A=∠A∴△ACD∽△ABC...2(2)∵△ACD∽△ABC∴ACADABAC=.3∵AD=2,AB=5∴ACAC25=.4∴AC2=10∴10=AC.519.(1)4)1(3222−+=−+=xxxy∴顶点坐标(-1,-4)··········································································1(2)令y=0,··················································································································2抛物线与y轴交点为(0,-3)··················································································································3(3)题号12345678答案BACABCDD))(轴的交点为(抛物线与0,10,3-x1,3032212=−==−+xxxx

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