
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
The two moving points on \(OB\), \(OD \perp AB\) at \(D\), \(E\) is the midpoint of \(AB\). Find the trajectory equation of \(D\) and the trajectory equation of \(E\).

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