题目

（6分）如图，为外接圆的直径，，垂足为点，的平分线交于点，连接，.(1) 求证：； (2) 请判断，，三点是否在以为圆心，以为半径的圆上？并说明理由. 答案：（1）证明：∵为直径，，∴.∴. ········································································ 3分（2）答：，，三点在以为圆心，以为半径的圆上. ·························· 4分理由：由（1）知：，∴.∵，，，∴.∴.································································· 6分由（1）知：.∴.∴，，三点在以为圆心，以为半径的圆上. ···································· 7分解析:略

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