
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 parabola $y^{2}=4x$ with its focus $F$, a line passing through the point $P(2,0)$ intersects the parabola at points $A$ and $B$. Lines $AF$ and $BF$ intersect the parabola at points $C$ and $D$ respectively. If the slopes of lines $AB$ and $CD$ are $k_{1}$ and $k_{2}$ respectively, find the value of $\frac{k_{1}}{k_{2}}$.

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