
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 a major axis length of $4 \sqrt {2}$. Points $A$, $B$, and $C$ are on the ellipse $E$, where point $A$ is the right vertex of the ellipse, line $BC$ passes through the origin $O$, point $B$ is in the first quadrant, and $|BC|=2|AB|$, $\cos ∠ABC= \frac {1}{5}$.
(I) Find the equation of the ellipse $E$;
(II) A line $l$ that is not perpendicular to the $x$-axis is tangent to the circle $x^{2}+y^{2}=1$ and intersects with the ellipse $E$ at two distinct points $M$ and $N$. Find the range of the area of $\triangle MON$.

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