
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
Given the following propositions:
① If a prism is cut by a plane, the two parts formed are not necessarily prisms;
② A solid with two parallel faces and all other faces being parallelograms is called a prism;
③ A solid with two parallel faces and all other faces being trapezoids is called a frustum;
④ The radius of a sphere is the line segment connecting any point on the sphere to the center of the sphere;
⑤ Among the sections passing through the vertex of a cone, the one with the largest area is necessarily the axial section.
Among these, the correct propositions are numbered as follows.

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