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content/post/exam-papers/2025高一竞赛/answer.md
@@ -70,15 +70,15 @@ $$\therefore xy \le 2 + 2\sqrt{2}$$
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当且仅当 $x = 2\sqrt{2}y$, 即
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$$
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-\left\{\begin{align*}
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-x = \sqrt{8+4\sqrt{2}} \\
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-y = \sqrt{1+\frac{\sqrt{2}}{2}}
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-\end{align*}\right.
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-或
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-x = -\sqrt{8+4\sqrt{2}} \\
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-y = -\sqrt{1+\frac{\sqrt{2}}{2}}
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+\begin{cases}
+ x = \sqrt{8+4\sqrt{2}} \\
+ y = \sqrt{1+\frac{\sqrt{2}}{2}}
+\end{cases}
+\quad \text{或} \quad
+ x = -\sqrt{8+4\sqrt{2}} \\
+ y = -\sqrt{1+\frac{\sqrt{2}}{2}}
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时取等.
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