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fix(content): 修正数学竞赛试题中集合表示的转义字符
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content/post/exam/contests/2025高一竞赛/paper/index.md

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### 一、填空题(共8题, 64分)
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1. 已知集合 $M = \{ u | u = 12m + 8n + 4l, m, n, l \in \mathbb{Z}\}$, $N = \{ v | v = 20p + 16q + 12r, p, q, r \in \mathbb{Z}\}$, 则 $M$ 与 $N$ 的关系是______
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1. 已知集合 $M = \\{ u | u = 12m + 8n + 4l, m, n, l \in \mathbb{Z} \\}$, $N = \\{ v | v = 20p + 16q + 12r, p, q, r \in \mathbb{Z} \\}$, 则 $M$ 与 $N$ 的关系是______
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2. 函数迭代, 就是一个函数与自身复合多次, 将 $f(x)$ 迭代 $n$ 次记作 $f^{(n)}(x), n \in \mathbb{N^*}$. 一般地, 有 $f^{(0)}(x) = x, f^{(1)}(x) = f(f^{(0)}(x)) = f(x),f^{(2)}(x) = f(f^{(1)}(x)) = f(f(x)), f^{(3)}(x) = f(f^{(2)}(x)), \cdots ,f^{(n)}(x) = f(f^{(n-1)}(x))$. 已知 $f(x) = \frac{1+\sqrt{3}x}{\sqrt{3}-x}$, 则 $f^{(2023)}(2023) = $ ______
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3. 已知 $f(x) = x^4 + bx^3 + cx^2 + dx + a$, 且 $f(1) = 5, f(2) = 10, f(3) = 15$, 则 $f(8) + f(-4) = $ ______
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4. 已知 $a + b +c = m, m > 0, m \neq 1$, 则 $\frac{a}{b+2c}+\frac{2c}{a+b}+\frac{b}{a+2c}$ 的取值范围是 ______

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