
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
In the Cartesian coordinate plane xOy, let A be a point on the semicircle O: x<sup>2</sup>+y<sup>2</sup>=2 (x≥0), the slope angle of the line OA is 45°, draw a vertical line from point A to the x-axis, with the foot of the perpendicular being H, draw a line parallel to OA passing through H, intersecting the semicircle at point B, then the equation of the line AB is _____.

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