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[几何] 等轴双曲线 垂直 切线 相等

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hbghlyj posted 2021-6-5 18:21 |Read mode
Screenshot 2021-06-01 005926.png
等轴双曲线,BC是切线,BC⊥OA,求证BC=OA
求几何证明
能否推广到一般双曲线?

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original poster hbghlyj posted 2021-6-5 18:52
回复 1# ellipse
主楼有水帖嫌疑...我再补一个性质
Screenshot 2021-06-01 005926.png
F是焦点,E是OF中点,则△OBF~△OED.
如何证明呢

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乌贼 posted 2021-6-6 05:43
就是切线交x轴y轴于两点,证明切点为中点。

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