感谢Yaroslav Bulatov对Plot算法进行了出色的分析，我现在理解了Plot3D和ContourPlot无法平滑绘制具有中断和不连续的函数的原因。
例如，在以下情况下，ContourPlot根本无法绘制轮廓x^2+y^2=1：
ContourPlot[Abs[x^2 + y^2 - 1], {x, -1, 1}, {y, -1, 1}, Contours -> {0}]
这是因为该算法没有深入到x^2+y^2=1附近的区域。它在最初阶段就“放弃”了这一地区，并没有试图进一步调查。增加MaxRecursion在这个意义上没有任何作用。甚至是未记录的选项方法->；｛优化->；｛ControlValue->！.01[度]｝｝没有帮助（但使Plot3D更平滑一点）。
上面的函数只是一个简单的例子。在现实生活中，我处理的是无法解析求解的非常复杂的隐函数。
有没有办法让ContourPlot深入到断裂和不连续附近的这些区域？
这些是标准绘图
以及10^-20的轮廓
它们对我来说很清楚。
你希望有更准确的东西吗？
编辑
如果您想使用轮廓->；｛0｝选项，您可以使用：
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