
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 ellipse \\(C\\): \\( \dfrac {x^{2}}{a^{2}}+ \dfrac {y^{2}}{b^{2}}=1(a > b > 0)\\), with eccentricity \\(e= \dfrac {1}{2}\\), and the minimum distance from a point on the ellipse to a focus is \\(1\\).  
\\((1)\\) Find the standard equation of the ellipse \\(C\\);  
\\((2)\\) Is there a line \\(l\\): \\(y=kx+m(k\in\mathbb{R})\\) that intersects the ellipse \\(C\\) at points \\(A\\) and \\(B\\), and \\(OA \perp OB\\)? If it exists, find the range of the real number \\(m\\); if not, explain why.

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