问题
下列哪一项是 [椭圆抛物面] 的方程？其中，$a$, $b$, $c$ 分别表示位于 $x$ 轴、$y$ 轴和 $z$ 轴上的半轴.
选项
[A]. $\frac{x^{2}}{a^{2}}$ $+$ $\frac{y^{2}}{a^{2}}$ $-$ $z$ $=$ $0$[B]. $\frac{x^{2}}{a^{2}}$ $+$ $\frac{y^{2}}{b^{2}}$ $+$ $z$ $=$ $0$
[C]. $\frac{x^{2}}{a^{2}}$ $+$ $\frac{y^{2}}{b^{2}}$ $-$ $z$ $=$ $1$
[D]. $\frac{x^{2}}{a^{2}}$ $+$ $\frac{y^{2}}{b^{2}}$ $-$ $z$ $=$ $0$
$\frac{\textcolor{orange}{x}^{\textcolor{yellow}{2}}}{\textcolor{cyan}{a}^{\textcolor{yellow}{2}}}$ $\textcolor{yellow}{+}$ $\frac{\textcolor{orange}{y}^{\textcolor{yellow}{2}}}{\textcolor{cyan}{b}^{\textcolor{yellow}{2}}}$ $\textcolor{yellow}{-}$ $\textcolor{orange}{z}$ $=$ $\textcolor{red}{0}$
