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受欢迎的微积分 >

面积 x=y^2,x=6-2y^2

解答

面积

x = y^{2}, x = 6 - 2 y^{2}

解答

无解

求解步骤

对于

x = y^{2}

将

y

移到一边:

y = x, y = - x

对于

x = 6 - 2 y^{2}

将

y

移到一边:

y = - \frac{x - 6}{2}, y = - - \frac{x - 6}{2}

f_{1} (x) = x

f_{2} (x) = - x

要找到相交点，解

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

x = - x : x = 0

x = - \frac{x - 6}{2} : x = 2

x = - - \frac{x - 6}{2} : x \in R

无解

- x = - \frac{x - 6}{2} : x \in R

无解

- x = - - \frac{x - 6}{2} : x = 2

- \frac{x - 6}{2} = - - \frac{x - 6}{2} : x = 6

曲线没有界限

= 无解

作图

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