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Bài 6: Cho ∆DEF cân tại D. Trên tia đối của tia EF lấy điểm P, trên tia đối của tia FE lấy điểm Q sao cho EP = FQ. a) Chứng minh ∆DPQ là tam giác cân. b) Kẻ EM vuông góc với DP (M thuộc DP), kẻ FN vuông góc với DQ (N thuộc DQ). Chứng minh EM = FN. c) Chứng minh: DM = DN. d) Gọi I là giao điểm của EM và FN. Tam giác IEF là tam giác gì? Vì sao? e) Khi D=60 độ và EP = FQ = EF, hãy tính số đo các góc của ∆DPQ và cho biết ∆IEF là tam giác gì? f) Chứng minh DI là tia phân giác của góc EDF. g) Chứng minh DI là đường trung trực của đoạn EF.
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