题目内容

(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.

(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

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