x = 3 y^2 + 2

Pertanyaan yang Sering Diajukan

• 求抛物线的标准方程 \(x = 3 y^{2} + 2\)

  

  $$y^2=\frac{1}{3}\left(x-2\right)$$

• 找到抛物线的顶点 \(x = 3 y^{2} + 2\)

  

  $$\left(2,0\right)$$

• 找到抛物线的焦点 \(x = 3 y^{2} + 2\)

  

  $$F=\left(\frac{25}{12},0\right)$$

• 求抛物线的准线 \(x = 3 y^{2} + 2\)

  

  $$x=\frac{23}{12}$$

• $$\text{求解 }y$$ \(x = 3 y^{2} + 2\)

  

  $$\begin{array}{rl}& y=\frac{\sqrt{3x-6}}{3}\\ & y=-\frac{\sqrt{3x-6}}{3}\end{array}$$

• 测试关于原点的对称性 \(x = 3 y^{2} + 2\)

  

  $$\text{Tidak simetris terhadap titik asal.}$$

• 测试关于 x 轴的对称性 \(x = 3 y^{2} + 2\)

  

  $$\text{Simetri Terhadap Sumbu X}$$

• 测试关于 y 轴的对称性 \(x = 3 y^{2} + 2\)

  

  $$\text{Tidak simetris terhadap sumbu y.}$$

• $$\text{求关于 }x\text{ 的导数}$$ \(x = 3 y^{2} + 2\)

  

  $$\frac{dy}{dx}=\frac{1}{6y}$$

• $$\text{求关于 }y\text{ 的导数}$$ \(x = 3 y^{2} + 2\)

  

  $$\frac{dx}{dy}=6y$$

• $$\text{求出关于 }x\text{ 的二阶导数}$$ \(x = 3 y^{2} + 2\)

  

  $$\frac{d^{2}y}{d{x}^2}=-\frac{1}{36y^3}$$

• $$\text{求出关于 }y\text{ 的二阶导数}$$ \(x = 3 y^{2} + 2\)

  

  $$\frac{d^{2}x}{d{y}^2}=6$$

• 以极坐标形式重写 \(x = 3 y^{2} + 2\)

  

  $$\begin{array}{rl}& r=\frac{\cos \left(\theta \right)-\sqrt{25{\cos }^2\left(\theta \right)-24}}{6{\sin }^2\left(\theta \right)}\\ & r=\frac{\cos \left(\theta \right)+\sqrt{25{\cos }^2\left(\theta \right)-24}}{6{\sin }^2\left(\theta \right)}\end{array}$$