
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 the function $f(x)= \frac{ax}{x^{2}+b}(a > 0,b > 1)$, it is known that: $f(1)=1$, and $f(x)$ has a maximum value of $\frac{3\sqrt{2}}{4}$ on $R$.
(I) Find the expression of $f(x)$;
(II) When $x \in [1,2]$, the inequality $f(x) \leqslant \frac{3m}{(x^{2}+2)|x-m|}$ always holds. Find the range of values for the real number $m$.

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