如何计算Parametric Curve
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Parametric equations define curves using parameter t: x=f(t), y=g(t). Useful for animation, physics, curves.
分步指南
- 1Input parametric equations x(t), y(t)
- 2Generate curve by varying t
- 3Calculate properties: length, curvature, derivatives
例题解析
输入
x=cos(t), y=sin(t), t∈[0,2π]
结果
Unit circle traced counterclockwise
常见错误注意事项
- ✕Not handling t limits correctly
- ✕Confusing direction of curve
常见问题
Why parametric form?
Some curves can't be expressed as y=f(x); parametric is more general.
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