
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 $f(x)=x^{2}+2a\ln x$, where $a\in R$.
(I) If the slope of the tangent line to the graph of the function $f(x)$ at the point $(2,f(2))$ is $1$, find the equation of the tangent line to the graph of the function $f(x)$ at the point $(1,f(1))$;
(II) If the function $g(x)= \frac {2}{x}+f(x)$ is a decreasing function on $[1,2]$, find the range of values of $a$.

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