
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
In the Cartesian coordinate system xOy, it is known that the ellipse C: $$\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1(a＞b≥1)$$ has an eccentricity of $$\frac { \sqrt {3}}{2}$$, and the maximum distance from a point N on ellipse C to the point Q(0, 3) is 4. A line passing through the point M(3, 0) intersects the ellipse C at points A and B.  
(Ⅰ) Find the equation of ellipse C;  
(Ⅱ) Let P be a point on the ellipse, and it satisfies $$\overrightarrow {OA}+ \overrightarrow {OB}=t \overrightarrow {OP}$$ (O is the origin), when $$|AB|＜ \sqrt {3}$$, find the range of the real number t.

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