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stark04
2 năm trước
Cho đường tròn (O;r) và dây AB = R√2 cố định, M là điểm tùy ý trên cung lớn AB sao cho tam giác AMB có 3 góc nhọn. Gọi H là trực tân của tam giác AMB. P và Q là giao điểm của hai tia AH và BH với đường tròn O. PB cắt QA tại S. a) Chứng minh PQ là đường kính của đường tròn O b) Tứ giác AMBS là hình gì? Vì sao? c) Chứng minh SH có độ dài bằng đường kính của đường tròn (O)
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