山东省2023-2024学年度第一学期高三质量检测数学.考卷答案

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山东省2023-2024学年度第一学期高三质量检测数学.考卷答案试卷答案

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分析利用对数函数的定义,列出不等式组求解即可.

解答解:要使函数y=log(2x-1)(-4x+8)有意义,
可得:$\left\{\begin{array}{l}-4x+8>0\\2x-1>0\\2x-1≠1\end{array}\right.$,解得x∈($\frac{1}{2}$,1)∪(1,2).
故答案为:($\frac{1}{2}$,1)∪(1,2).

点评本题考查函数的定义域的求法,考查计算能力.