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The math problem is urgent! ! ! !
According to the topic, there are three relationships between circle M and straight line OA: intersection, tangency and separation.

(1) When OA is tangent to ⊙M, the distance from point m to straight line OA is 3cm.

∫∠AOB = 30 &; ordm。 The right-angled side facing 30 is half of the hypotenuse.

∴OM=2×3=6cm

According to the topic, when OM < 6 cm and ⊙M intersect OA,

When OM=6cm, ⊙M is tangent to OA,

When om > 6 cm, ⊙M is separated from OA.