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面积 x=3y^2,x=4+2y^2

解答

面积

x = 3 y^{2}, x = 4 + 2 y^{2}

解答

无解

求解步骤

对于

x = 3 y^{2}

将

y

移到一边:

y = \frac{x}{3}, y = - \frac{x}{3}

对于

x = 4 + 2 y^{2}

将

y

移到一边:

y = \frac{x - 4}{2}, y = - \frac{x - 4}{2}

f_{1} (x) = \frac{x}{3}

f_{2} (x) = - \frac{x}{3}

要找到相交点，解

f_{i} (x) = f_{j} (x)

\frac{x}{3} = - \frac{x}{3} : x = 0

\frac{x}{3} = \frac{x - 4}{2} : x = 12

\frac{x}{3} = - \frac{x - 4}{2} : x \in R

无解

- \frac{x}{3} = \frac{x - 4}{2} : x \in R

无解

- \frac{x}{3} = - \frac{x - 4}{2} : x = 12

\frac{x - 4}{2} = - \frac{x - 4}{2} : x = 4

曲线没有界限

= 无解

作图

流行的例子

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x \to - 4 lim (x^{2} - 3)

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t an g e n t f (x) = 3 - 6 x

limit as x approaches 1 of-x+2

x \to 1 lim (- x + 2)