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Chứng minh BA/BI </xml><![endif]--><!--[if gte mso 9]><xml> Normal 0 false false false EN-US X-NONE X-NONE .

Cho hình bình hành ABCD. Một đường thẳng d cắt các cạnh AB, BC và đường chéo BD thứ tự tại I, K, J. Chứng minh BA/BI <!--[if supportFields]>eq \s\don1(\f(BA,BI))<!--[endif]--><!--[if supportFields]--><!-- endif]--> + BC/BK <!--[if supportFields]-->eq \s\don1(\f(BC,BK))<!--[endif]--><!--[if supportFields]--><!-- endif]--> = BD/BJ<!--[if supportFields]-->eq \s\don1(\f(BD,BJ))<!--[endif]--><!--[if supportFields]--><!--[endif]-->
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Ta có:
$\frac{BA}{BI} + \frac{BC}{BK} = \frac{BA}{BI} + \frac{BC}{BJ + JK} = \frac{BA}{BI} + \frac{BC}{BJ + JD} = \frac{BA}{BI} + \frac{BC}{BD} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac{BC}{BD} \cdot \frac{BD}{BJ} = \frac{BA}{BI} + \frac

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