
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 $$M: \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 (a > b > 0)$$ has an eccentricity of $$\frac{\sqrt{2}}{2}$$, and the top vertex B is the focus of the parabola $$x^2 = 4y$$.
(1) Find the standard equation of ellipse M;
(2) If P and Q are two points on ellipse M, and OP⊥OQ (O is the origin), is the distance from a point to a line a constant value? If so, find this constant value; if not, please explain why.

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