
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 the parametric equation of line $l$ as $ \begin{cases} x=m+ \frac { \sqrt {2}}{2}t \\ y= \frac { \sqrt {2}}{2}t \end{cases} (t \text{ is the parameter}) $, establish a polar coordinate system with the coordinate origin as the pole, and the positive semi-axis of $x$ as the polar axis. The polar equation of curve $C$ is $ρ^{2}(1+2\sin ^{2}θ)=12$. The left focus $F$ of curve $C$ is on line $l$.
(I) Find the real number $m$ and the rectangular coordinate equation of curve $C$;
(II) If line $l$ intersects curve $C$ at points $A$ and $B$, find the value of $ \frac {1}{|AF|}+ \frac {1}{|BF|}$.

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