
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
In the polar coordinate system, the equation of curve C1 is ρ² = $\frac{3}{1+2\sin^{2}\theta}$, and the equation of curve C2 in the rectangular coordinate system with the pole as the origin and the polar axis as the non-negative semi-axis is $\begin{cases} x=2+ \frac{\sqrt{3}}{2}t \\ y= \frac{1}{2}t\end{cases}$ (t is the parameter).

1. Find the parametric equations of curve C1 and the general form equation of curve C2.
2. Find the maximum distance from a point on curve C1 to curve C2.

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