
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 $f(x)=(2-a)x-2(1+\ln x)+a$, $g(x)= \frac {ex}{e^{x}}$.  
(1) If $a=1$, find the equation of the tangent line to the function $f(x)$ at the point $(1,f(1))$;  
(2) If for any given $x_{0}\in(0,e]$, in the interval $(0,e^{2}]$ the equation $f(x)=g(x_{0})$ always has two distinct real roots, find the range of the real number $a$.

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