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Trường hợp cạnh - cạnh - cạnh Bài 1. Cho góc nhọn xOy.Trên Ox,Oy tương ứng lấy A và B khác O sao cho OA=OB.Vẽ hai đường tròn tâm A và B có cùng bán kính sao cho chúng cắt nhau tại M và N nằm trong góc xOy.Chứng minh rằng: a)Ba điểm O,M,N thẳng hàng. b)Chứng minh MN là tia phân giác của góc AMB. Bài 2.Cho tam giác ABC có AB=AC.Gọi H là trung điểm cạnh BC. a)Chứng minh AH là tia phân giác góc BAC và AH vuông góc BC. b)Trên tia đối tia HA lấy K sao cho HK=HA.Chứng minh CK//AB. Bài 3.Cho tam giác ABC có đường cao AH.Trên nửa mặt phẳng bờ AC không chứa B vẽ tam giác ACD sao cho AD=BC,CD=AB.Chứng minh rằng:AB//CD và AH vuông góc AD.
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