Question

画对号的，求解答，要过程，可以写纸上，发照片给我

Answer 1

2. 

(1) 两点的距离为半径r, r² = (8 - 5)² + (-3 - 1)² = 25

圆: (x - 8)² + (y + 3)² = 25

(2) AB与x轴平行, 其中垂线为x = 2, 圆心P在其上。令P(2, p), 则PA = PC:

(2 + 1)² + (p - 5)² = (2 - 6)² + (p + 2)²

p = 1, P(2, 1)

r² = (2+1)² + (1 - 5)² = 25

(x - 2)² + (y - 1)² = 25

2. 

x = 2y + 1, C(2c + 1, c)

CO = CA, (2c + 1 - 0)² + (c - 0)² = (2c + 1 - 2)² + (c - 1)²

c = 1/10, C(6/5, 1/10)

r² = CO² = 29/20

(x - 6/5)² + (y - 1/10)² = 29/20

4. C(c, 0), CA = CB

(c + 1)² + (0 - 1)² = (c - 1)² + (0 - 3)²

c = 2, C(2, 0)

r² = CA² = 10

(x - 2)² + y² = 10