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[几何] 内心外心旁心五点的二次曲线

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hbghlyj posted 2019-9-13 21:43 |Read mode
△DEF是△ABC的垂三角形,X、P、Q、R是△ABC、△AEF、△DBF、△DEC的相似对应点,△ABC三边中点为L、M、N,外心O,内心I,三旁心I1、I2、I3,垂心H.证明:当X在过I1、I2、I3、O、I五点的二次曲线上时,LP、MQ、NR、OH四线共点

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