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[几何] 四边形求(a^2-b^2)/(c^2-d^2)的范围

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tommywong posted 2014-12-28 09:36 |Read mode
Last edited by hbghlyj 2025-4-4 07:38在凸四邊形 $A B C D$ 中,$\angle A B D=\angle C B D=\angle A D C=45^{\circ}, \overline{A B}=a$ , $\overline{B C}=b, \overline{C D}=c, \overline{D A}=d(a \neq b)$ .試問 $\frac{a^2-b^2}{c^2-d^2}$ 之値的範圍

答: $1<\frac{a^2-b^2}{c^2-d^2}<\sqrt{2}$

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original poster tommywong posted 2014-12-28 20:57
有了有了有了有了有了有了有了有了有了有了有了有了有了......
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