
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 a point $M(-2b,0)$, find the two tangent lines from this point to the ellipse $\frac{x^{2}}{a^{2}}+ \frac{y^{2}}{b^{2}}=1 (a > b > 0)$, which intersect the ellipse at points $A$ and $B$, respectively. Assume $MA \perp MB$,
(1) Calculate the eccentricity of the ellipse;
(2) If the right focus of the ellipse is $F$, and the area of the quadrilateral $MAFB$ is $2+ \sqrt {2}$, find the standard equation of the ellipse.

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