平面图形与方程

manthanein · 发表于 2021-10-7 15:37:40

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&形线

\(\left(y^{2}-x^{2}\right)\left(x-1\right)\left(2x-3\right)=4\left(x^{2}+y^{2}-2x\right)^{2}\)

https://www.desmos.com/calculator/ibowsaljas

manthanein · 发表于 2021-10-7 15:42:39

超椭圆
\(\D \left|\frac{x}{a}\right|^{r}+\left|\frac{y}{b}\right|^{r}=1\)

https://www.desmos.com/calculator/azxhon5ifi

manthanein · 发表于 2021-10-7 15:45:39

广义超椭圆
\(\left|x\right|^{p}+\left|y\right|^{q}\le1\)
https://www.desmos.com/calculator/mgy4vyck3a

manthanein · 发表于 2021-10-7 15:49:46

星形线

\(\D \left|\frac{x}{a}\right|^{\frac{2}{3}}+\left|\frac{y}{a}\right|^{\frac{2}{3}}=1\)

https://www.desmos.com/calculator/5kkgiveamb

manthanein · 发表于 2021-10-8 00:24:47

星形线长度
\(\D y=\frac{3}{2}\left(\sin x\right)^{2}\)

https://www.desmos.com/calculator/vvo25w6kn3

manthanein · 发表于 2021-10-8 00:26:19

星形线曲率

\(\D y=-\frac{2}{3}\left|\csc\left(2x\right)\right|\)

https://www.desmos.com/calculator/kllry58itz

manthanein · 发表于 2021-10-8 00:28:04

星形线周长

\(\D y=\frac{8a\left(x-1\right)}{x}\)

https://www.desmos.com/calculator/w3prfv6kks

manthanein · 发表于 2021-10-8 00:29:28

星形线面积

\(\D y=\frac{\left(x-1\right)\left(x-2\right)}{x^{2}}\pi a^{2}\)

https://www.desmos.com/calculator/f2hyy9z4fw

manthanein · 发表于 2021-10-8 00:31:41

第一类豆形线

\(x^{4}+x^{2}y^{2}+y^{4}=ax\left(x^{2}+y^{2}\right)\)
https://www.desmos.com/calculator/niu7rmltol

manthanein · 发表于 2021-10-8 00:33:16

第二类豆形线

\(\left(x^{2}+y^{2}\right)^{2}=a\left(x^{3}+y^{3}\right)\)
https://www.desmos.com/calculator/9a0yrwae3y

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[原创] 平面图形与方程