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Tendangnhaplagi
2 năm trước
Bài 1: Cho góc xOy, có Ot là tia phân giác. Lấy điểm A trên tia Ox, điểm B trên tia Oy sao cho OA=OB. Vẽ đoạn thẳng AB cắt Ot tại M. Chứng minh: a) tam giác OAM = tam giác OBM b) AM = BM; OM vuông góc AB c) OM là đường trung trực của AB d) Trên tia Ot lấy điểm N. Chứng minh NA=NB Bài 2: Cho tam giác ABC vuông tại A, trên tia đối của tia CA lấy điểm K sao cho CK=CA, từ K kẻ KE vuông góc với đường thẳng AC. Chứng minh: a) AB//KE b) góc ABC = góc KEC; BC=CE Bài 3: Cho góc nhọn xOy. Trên tia Ox lấy 2 điểm A, C. Trên tia Oy lấy 2 điểm B, D sao cho OA=OB, AC=BD. a) Chứng minh: AD=BC b) Gọi E là giao điểm AD và BC. Chứng minh: tam giác EAC = tam giác EBD c) Chứng minh: OE là phân giác của góc xOy, OE vuông góc CD Bài 4: Cho tam giác ABC có góc B=90 độ, gọi M là trung điểm của BC. Trên tia đối của tia AM lấy điểm E sao cho ME=MA. a) Tính góc BCE b) Chứng minh BE//AC
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