题目内容

(6分)如图,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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