Question

在直角坐标系xOy中,点A,B的坐标分别为（4,0）,（0,3）,点C在x轴上,若以点A,B,C,

Answer 1

设C(c, 0)

(1) AB = AC

AB² = AC²

4² + 3² = (c - 4)²

c - 4 = ±5

c = 9或c = -1

(2) AB = BC

AB² = BC²

4² + 3² = 3² + c²

c = -4 (舍去+4,与A重合)

(3) AC = BC

AC² = BC²

(c - 4)² = 3² + c²

c = 7/8