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bamup2002
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1/ Giải PT: 2(x-1)(x+1) - 5 $\sqrt{x^{2}+1}$ +1=0 2/ Cho nửa đường tròn tâm O có đường kính AB. Trên nửa đường tròn (O) lấy C sao cho cung AC< cung BC. Gọi H là hình chiếu của C trên AB và M là 1 điểm thuộc cung BC ( M $\neq$ B và C). AM cắt CH tại N a, Chứng minh: góc CNM = góc CAM + góc CMA b, Chứng minh: AC là tiếp tuyến của đường tròn ngoại tiếp tam giác CMN c, Tiếp tuyến tại C của nửa đường tròn (O) cắt AB tại E. Chứng minh: $\frac{AH}{AE}$ = $\frac{BH}{BE}$
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