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I want to achieve this effect: enter image description here

then, I try the following code:

p = ContourPlot[(x - 2)^2 + y^2 == 1, {x, 1, 3}, {y, -1, 1}, 
Axes -> True, Frame -> False, AxesOrigin -> {0, 0}, 
PlotRange -> All, AspectRatio -> Automatic, 
Exclusions -> {x <= 2 || y <= 0}, ExclusionsStyle -> Dashed]

however, it didn't work. How to do?

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    $\begingroup$ That means you don't want to exclude the dashed line? Try RegionFunctioninstead of Exclusions! $\endgroup$
    – Ulrich Neumann
    Feb 7, 2019 at 10:15

1 Answer 1

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Try RegionFunction instead of Exclusions:

p1 = ContourPlot[(x - 2)^2 + y^2 == 1, {x, 1, 3}, {y, -1, 1}, RegionFunction ->  (#2 <= 0 || #1 <= 2 &) , ContourStyle -> Dashed];
p2 = ContourPlot[(x - 2)^2 + y^2 == 1, {x, 1, 3}, {y, -1, 1},RegionFunction ->   (#2 > 0 && 2 <= #1 <= 3 &) ,ContourStyle -> Blue];
Show[{p1, p2}, Axes -> True, Frame -> False, AxesOrigin -> {0, 0},PlotRange -> All, AspectRatio -> Automatic]

enter image description here

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