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mathdeptv2/工具/文本文件/metadata.txt

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ans
14996
$\{0,1\}$
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$-\dfrac 12+\dfrac 32\mathrm{i}$
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$40\pi$
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$270$
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$0.1$
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$2$
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$\dfrac 12$
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$\dfrac{4\sqrt{6}}{25}$
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$2\sqrt{2}-1$
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$[\dfrac{5\pi}6,\dfrac{11\pi}6)$
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$\dfrac 14$
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$(1,3]$
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B
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A
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D
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D
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(1) $\dfrac{121}9$; (2) $S_n$的最大值为$3$, 当且仅当$n=2$或$3$时取得
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(1) 证明略; (2) $\dfrac{\sqrt{6}}6$
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(1) $\dfrac{41}{42}$; (2) $\dfrac{12}{5}>\dfrac{116}{75}$, 故应该先答人文历史题, 再答地理环境题
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(1) $\dfrac{\sqrt{6}}3$; (2) $\dfrac 43$或$\dfrac{4\sqrt{6}}9$; (3) 存在, $P$的坐标为$(1,1)$
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(1) $O(0,0)$是的, $A(2,0)$不是; (2) 证明略; (3) $\{(a,b)|b=-a\text{或}b=a^3-a, \ a\ne 0\}$