The radius of fixed ⊙ o is 4cm, and the radius of moving ⊙ P is 1cm. If moving ⊙ P is always circumtangent to fixed ⊙ o, what is the distance between point P and point o? What kind of line can point P move on?

The radius of fixed ⊙ o is 4cm, and the radius of moving ⊙ P is 1cm. If moving ⊙ P is always circumtangent to fixed ⊙ o, what is the distance between point P and point o? What kind of line can point P move on?

The radius of ∵ o is 4cm, and the radius of ⊙ P is 1cm. If ⊙ P is always circumtangent to ⊙ o, the distance between ∵ point P and point O is 4 + 1 = 5 (CM), and point P can move on a circle with 5cm radius centered on o

It is known that the radius of fixed circle O is 2cm and that of moving circle P is 1cm. (1) let ⊙ p be tangent to ⊙ o, then what is the distance between point P and point o?
It is known that the radius of fixed circle O is 2cm and that of moving circle P is 1cm
(1) Let ⊙ P and ⊙ o be tangent, then what is the distance between point P and point o? What graph should point P move on?
(2) Let ⊙ P and ⊙ o be inscribed. What happens?
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Tangency is divided into circumscribed and inscribed, so OP = 3 or 5cm. The point P can move on the circle 5 or 3 away from the center O. when circumscribed 4 + 1 = 5cm or inscribed 4-1 = 3cm are tangent, the point P can move on the circle 5 or 3 away from the center o,