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nguyenhoadoi14
2 năm trước
Cho tam giác nhọn ABC (CA < CB) nội tiếp đường tròn (O;R), các đường cao AE và BF cắt nhau tại I. Gọi P là trung điểm của AB a) Chứng minh tứ giác AFEB là tứ giác nội tiếp b) Chứng minh CE.CB = CF.CA c) Gọi CI cắt AB tại H. chứng minh góc FHE = 2.CAEvà góc FHE = goc FPE d) Đường tròn ngoại tiếp tam giác CFE cắt (O;R) tại điểm thứ hai là K. ( K khác C). Vẽ đường kính CD của (O;R). chứng minh P, K, D thẳng hàng
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