
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
In $\triangle ABC$, $A$, $B$, $C$ are the three internal angles of the triangle, and $a$, $b$, $c$ are the three sides corresponding to the internal angles. It is known that $b^{2}+c^{2}-a^{2}- \sqrt {2}bc=0$.
1. Find the size of angle $A$;
2. If $\sin ^{2}B+\sin ^{2}C=2\sin ^{2}A$, and $a=3$, find the area of $\triangle ABC$.

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