
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
A quadrilateral pyramid \(SABCD\) is given, with a base that is a trapezoid \(ABCD\). The ratio of the bases \(AD\) and \(BC\) of this trapezoid is 2. Construct the cross-section of the pyramid with a plane passing through point \(D\) and the midpoints of the edges \(SA\) and \(SB\). In what ratio does this plane divide the edge \(SC\)?

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