2024届达州市普通高中第二次诊断性测试数学h试题答案 (更新中)

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2024届达州市普通高中第二次诊断性测试数学h试卷答案

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分析根据A∩B=A,得出A⊆B,因为A是非空集合,所以当A≠∅,最后综合得出结果.

解答解:因为A∩B=A,所以A⊆B,
∵A是非空集合
∴当A≠∅,则$\left\{\begin{array}{l}{1-m≤2m-1}\\{1-m>-2}\\{2m-1≤5}\end{array}\right.$,
解得$\frac{2}{3}$≤m<3.
综合以上讨论得,当m∈[$\frac{2}{3}$,3)时,A∩B=A.
故答案为:[$\frac{2}{3}$,3).

点评本题主要考查了集合间包含关系的判断,涉及空集的性质,以及分类讨论的解题思想,属于中档题.

2024届达州市普通高中第二次诊断性测试数学h

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