Cho tam giác ABC, các đường cao AD be CF cắt nhau tại H. CMR: a) AH.AD+CH.CF=AC^2 b) Gọi M N P lần lượt là giao điểm của AD,BE,CF với EF,FD,DE. CMR: FM/ME . PE/PD . ND/NF = 1. c) Gọi I là trung điểm của BC. Qua H kẻ đường thẳng vuông góc HI cắt AB , AC lần lượt tại X,Y. CMR: HX = HY. Giúp mik vs ạ làm được mik sẽ cho 5 sao+ cảm ơn. Chỉ cần làm câu b và c thôi ạ.

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