2023-2024学年吉林省高一年级11月期中考试联考数学.考卷答案

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2023-2024学年吉林省高一年级11月期中考试联考数学.考卷答案试卷答案

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分析根据图表找出输出数字的规律,直接将输入数据代入即可求解.

解答解:∵$\frac{1}{2}$=$\frac{1}{3×1-1}$,$\frac{2}{3×2-1}$=$\frac{2}{5}$,$\frac{3}{3×3-1}$=$\frac{3}{8}$,$\frac{4}{3×4-1}$=$\frac{4}{11}$…
∴输出数据的规律为:$\frac{n}{3n-1}$.
∴输入数据为8时,输出的数据是$\frac{8}{3×8-1}$=$\frac{8}{23}$.
故答案为:$\frac{8}{23}$.

点评此题主要考查了数字变化规律,根据已知数据发现式子中的变与不变是解题关键,属于基础题.