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Discuz Math Forum»Forum › Mathematics › High School › 垂心连线过定点
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[几何] 垂心连线过定点

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hbghlyj

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hbghlyj posted 2021-2-11 16:47 |Read mode
Last edited by hbghlyj 2021-3-2 02:01AA'是直径,BA'CE是调和四边形,AC∩BD=$P_1$,AB∩CD=$P_2$,
$H,H_1,H_2$分别是$\triangle ABC,P_1BC,P_2BC$的垂心,
过H作AE垂线与$H_1H_2$交于P.
求证:点D在圆上运动时,P是定点.
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