
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
Let's consider the functions \(f(x)=e^{2x}\) and \(g(x)=kx+1\) (where \(k\) is in the set of real numbers \(\mathbb{R}\)).  
(Ⅰ) If the line \(y=g(x)\) is tangent to the graph of the function \(y=f(x)\), find the value of \(k\);  
(Ⅱ) When \(k > 0\), if there exists a positive real number \(m\) such that for any \(x \in (0, m)\), the inequality \(|f(x)-g(x)| > 2x\) always holds true, find the range of values for \(k\).

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