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初级微积分示例圆锥截面

求抛物线的标准形式

$f (x) = {(2 - x)}^{2} + 3$

解题步骤 1

将 $f (x) = {(2 - x)}^{2} + 3$ 写为等式。

$y = {(2 - x)}^{2} + 3$

解题步骤 2

因为 $x$ 在方程的右边，所以要交换两边使其出现在方程的左边。

${(2 - x)}^{2} + 3 = y$

解题步骤 3

从等式两边同时减去 $3$ 。

${(2 - x)}^{2} = y - 3$

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$