圆\(C_{1}\)：\({\left(x-1ight)}^{2}+{\left(y-3ight)}^{2}=9 \)和\(C_{2}\)：\({x}^{2}+{\left(y-2ight)}^{2}=1,M,N \)分别是圆\(C\)\(1\)，\(C\)\(2\)上的点，\(P\)是直线\(y=-1 \)上的点，则\(\left|PMight|+\left|PNight| \)的最小值是 --优优班--学霸训练营

圆\(C_{1}\)：\({\left(x-1\right)}^{2}+{\left(y-3\right)}^{2}=9 \)和\(C_{2}\)：\({x}^{2}+{\left(y-2\right)}^{2}=1,M,N \)分别是圆\(C\)\(1\)，\(C\)\(2\)上的点，\(P\)是直线\(y=-1 \)上的点，则\(\left|PM\right|+\left|PN\right| \)的最小值是

A．\(5 \sqrt{2}-4 \)

B．\( \sqrt{17}-1 \)

C．\(6-2 \sqrt{2} \)

D．\( \sqrt{17} \)

【考点】关于点或直线对称的圆的方程,圆有关的最值问题

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难度：难

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