2023－2024学年第二学期福州市九年级质量抽测数学答案及评分标准评分说明：1．本解答给出了一种或几种解法供参考，如果学生的解法与本解答不同，可根据习题的主要考查内容比照评分参考制定相应的评分细则．2．对于计算题，当学生的解答在某一步出现错误时，如果后继部分的解答未改变该题的内容和难度，可视影响的程度决定后继部分的给分，但不得超过该部分正确解答应给分数的一半；如果后继部分的解答有较严重的错误，就不再给分．3．解答右端所注分数，表示学生正确做到这一步应得的累加分数．4．只给整数分数．选择题和填空题不给中间分．一、选择题（本题共10小题，每小题4分，共40分）1．A2．B3．A4．A5．C6．D7．B8．B9．C10．B二、填空题（本题共6小题，每小题4分，共24分）11．−60米12．抽样调查13．70°14．x>215．396元16．DE3三、解答题（本题共9小题，共86分）17．（本小题满分8分）解：原式=π−3+1+2······································································································分6=π．···············································································································分818．（本小题满分8分）证明：∵BE=CF，∴BE+EF=CF+EF，∴BF=CE．·········································································································分3AD在△ABF和△DCE中AB=DC，············································································································分4∠B=∠C，············································································································分5BF=CE，BEFC∴△ABF≌△DCE，································································································分6∴∠A=∠D．········································································································分819．（本小题满分8分）解法一：∵a=3，b∴a=3b，·········································································································分1(3b)2−2×3b⋅b∴原式=(2−3b)÷·······································································分23b−b(3b)2−b23b9b2−b2=(2−)⋅···················································································分42b9b2−6b2=(2−3)⋅8b2·····························································································分623b2=1×8······································································································分723=4．·····································································································