极坐标下的函数图像

⭐心形线(外摆线)

屁股向左:

$$ r=a(1-cos\theta)(a>0) $$

https://s3-us-west-2.amazonaws.com/secure.notion-static.com/8b083d19-3968-4c98-a9ef-f32a5d8e92bf/Untitled.png

屁股向右

$$ r=a(1+cos\theta)(a>0) $$

https://s3-us-west-2.amazonaws.com/secure.notion-static.com/48faae0e-066e-454f-b079-585968739290/Untitled.png

玫瑰线(三叶玫瑰线)

$$ r=asin3\theta(a>0) $$

https://s3-us-west-2.amazonaws.com/secure.notion-static.com/c0d8cb9f-9874-4696-80ca-342009a3fdf7/Untitled.png

阿基米德螺线

$$ r=a\theta(a>0,\theta\geqslant0) $$

https://s3-us-west-2.amazonaws.com/secure.notion-static.com/0a820904-06e4-4f05-998e-f751218314c9/Untitled.png

伯努利双纽线

$$ r^2=a^2cos2\theta $$

$$ r^2=a^2sin2\theta $$

https://s3-us-west-2.amazonaws.com/secure.notion-static.com/035bc2be-ba0c-477f-a1e0-f1212e177cc4/Untitled.png

参数方程下的图像

⭐摆线(平摆线)