
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 E: $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}$$\=1 (a > b > 0) with an eccentricity of $$\frac {1}{2}$$, F is the left focus. Draw a line perpendicular to the x-axis passing through point F, intersecting the ellipse E at points A and B, with |AB|=3.
(I) Find the equation of the ellipse E;
(II) Draw a tangent line to the circle x<sup>2</sup>+y<sup>2</sup>\= $$\frac {12}{7}$$ at any point, intersecting the ellipse E at points M and N. O is the origin. Determine whether $$\overrightarrow {OM}$$\cdot $$\overrightarrow {ON}$$ is a constant value. If it is, find the value; if not, explain the reason.

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