
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given in the Cartesian coordinate system xOy, the parametric equation of the conic curve C is $$\begin{cases} x=2\cos\theta \\ y= \sqrt {3}\sin\theta\end{cases}$$ (where $\theta$ is the parameter), and the fixed point $$A(0，- \sqrt {3})$$, $F_1$ and $F_2$ are the left and right foci of the conic curve C respectively.  
(1) Establish a polar coordinate system with the origin as the pole and the positive x-axis as the polar axis, and find the polar equation of the line $l$ that passes through point $F_1$ and is parallel to the line $AF_2$;  
(2) Under the condition of (I), suppose the line $l$ intersects the conic curve C at points E and F, find the length of chord EF.

Present the answer in LaTex format: \boxed{Your answer}
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