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二次曲面

椭球面

\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1 \]

img/椭球面.png

单叶双曲面

\[ \frac{x^2}{a^2} + \frac{y^2}{b^2} - \frac{z^2}{c^2} = 1 \]

img/单叶双曲面.png

双叶双曲面

\[ - \frac{x^2}{a^2} - \frac{y^2}{b^2} + \frac{z^2}{c^2} = 1 \]

img/双叶双曲面.png

椭圆抛物面

\[ z = \frac{x^2}{a^2} + \frac{y^2}{b^2} \]

img/椭圆抛物面.png

双曲抛物面

\[ z = - \frac{x^2}{a^2} + \frac{y^2}{b^2} \]

img/双曲抛物面.png