Question

已知AB//CD，BD平分∠ABC交AC于O，CE平分∠DCG，若∠ACE=90°，求证BD⊥AC

如题
G与B.C共线 CE平分∠DCG

Answer 1

你这个问题少条件啊，E点G点在哪儿啊？？
因为G在BC线上（应该在延长线上），因为AB//CD,所以<ABC=<DCG,<ABD=<CDB=<DBC,又因为BD平分∠ABC,CE平分∠DCG,所以<DCE=<DBC=<DBC=<ECG
∠ACE=90°,<ECG+<ACB=90°
所以<DBC+<ACB=90°
所以 <BOC=90°
原题得证（不好打，不知道你看不看得懂）

Answer 2

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