
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 A(1, 1) is a point on the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ ($a > b > 0$), and $F_1$, $F_2$ are the two foci of the ellipse, satisfying $|AF_1| + |AF_2| = 4$.
(Ⅰ) Find the standard equation of the ellipse;
(Ⅱ) Suppose points C and D are on the ellipse, and the angles of inclination of lines AC and AD are complementary, find the slope of line CD.

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