
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 an ellipse $\frac{x^{2}}{a^{2}}+ \frac{y^{2}}{b^{2}}=1$ (a > b > 0) with left and right foci $F_1$ and $F_2$, respectively. Let P be a point on the ellipse such that $PF_2$ is perpendicular to the x-axis, $|PF_{2}|= \frac{3}{2}$, and the eccentricity is $\frac{1}{2}$.
(I) Find the standard equation of the ellipse;
(II) If M is a fixed point on the positive semi-axis of y, and the line l passing through M intersects the ellipse at points A and B. Let O be the origin of the coordinate, if $S_{△AOB}=- \frac{3}{2}tan∠AOB$, find the coordinates of point M.

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