
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 that $F_1(-1,0)$ and $F_2(1,0)$ are the two foci of the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 (a > b > 0)$, and point $P(1, \frac{3}{2})$ is on the ellipse $C$.

(Ⅰ) Find the equation of the ellipse $C$;

(Ⅱ) The line $l$: $y = kx + m (m > 0)$ has only one common point with the ellipse $C$, and intersects the $x$-axis and $y$-axis at points $M, N$, respectively. When the area of $\triangle OMN$ is minimized, find the equation of the line $l$ at this time.

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