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kary.trang76
2 năm trước
Bài 1. Cho tam giác ABC vuông tại A có góc B= 53 độ a) Tính góc C. b) Trên cạnh BC, lấy một điểm D sao cho BD=BA. Tia phân giác của góc B cắt cạnh AC ở điểm E. Chứng minh tam giác BEA = tam giác BED. Bài 2. Cho tam giác ABC có AB= AC và M là trung điểm của cạnh BC. a) Chứng minh tam giác AMB = tam giác AMC. b) Qua A, vẽ đường thẳng a vuông góc với AM. Chứng minh AM vuông góc với BC và a song song với BC. c) Qua C, vẽ đường thẳng b song song với AM. Gọi N là giao điểm của hai đường thẳng a và b. Chứng minh tam giác AMC = tam giác CNA. Bài 3. Cho tam giác ABC, gọi M là trung điểm của cạnh BC. Trên tia đối của tia MAlấy điểm D sao cho MD = MA. a) Chứng minh tam giác MAB = tam giác MDC. b) Chứng minh rằng AB = CD và AB // CD. Bài 4. Cho tam giác ABC vuông tại A (AB < AC). Tia phân giác của góc ABC cắt AC tại D. Trên cạnh BC lấy điểm E sao cho BE = BA. Vẽ AH vuông góc với BC tại H. a) Chứng minh rằng: tam giác ABD = tam giác EBD và AD = ED. b) Chứng minh rằng: AH // DE. *Vẽ hình giúp mình*
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