
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 that the asymptotic equations of hyperbola $C$ are $y=± \dfrac { \sqrt {3}}{3}x$, and the coordinates of the right focus are $(2,0)$, with $O$ being the origin.  
(Ⅰ) Find the standard equation of the hyperbola $C$;  
(Ⅱ) If the line $l$: $y=kx+ \sqrt {2}$ always intersects the hyperbola $C$ at two distinct points $A$ and $B$, and $\overrightarrow{OA}\cdot \overrightarrow{OB} > 0$, determine the range of the real number $k$.

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