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[几何] 2022年高考全国甲卷理科第16题 比值最小时求 $BD$ 长

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isee posted 2022-6-13 17:59 |Read mode
Last edited by hbghlyj 2025-3-13 04:11文理同题
已知 $\triangle A B C$ 中,点 $D$ 在边 $B C$ 上,$\angle A D B=120^{\circ}, A D=2, C D=2 B D$ .当 $\frac{A C}{A B}$ 取得最小值时,$B D=\qquad$ .

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