江西省2023-2024学年度九年级阶段性练习(三)数学考试卷

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江西省2023-2024学年度九年级阶段性练习(三)数学考试卷试卷答案

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分析分别解出关于p,q的x的范围,根据?p是q的必要不充分条件,得到关于a的不等式,解出即可.

解答解:命题P:A=(a,3a),命题q:B=[2,3],
∵?p是q的必要不充分条件,
∴q是¬p的充分不必要条件,
∴a≥3或0<a≤$\frac{3}{2}$.

点评本题考查了充分必要条件,考查集合的包含关系,是一道基础题.