
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 $(xOy)$, the curve is defined by the parametric equations $\begin{cases}x=a\cos φ \\\\ y=b\sin φ\end{cases}(a > b > 0, 0\leqslant φ < 2π)$. Points $A$ and $B$ on the curve correspond to parameters $α$ and $α+ \dfrac {π}{2}$ respectively.

1. Find the ordinary equation of the locus of the midpoint $M$ of $AB$.
2. Find the maximum and minimum values of the distance from the origin $O$ to the line $AB$.

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