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[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

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# Your action step 2

# Your action step 3

...

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Given a point O outside the line segment BC, and a point P anywhere on the plane, and $$\overrightarrow {OP}=λ \overrightarrow {OB}+μ \overrightarrow {OC}$$ (where λ, μ∈R), which of the following statements are correct?  
① If λ+μ=1 and λ>0, then point P is on the extension line of segment BC;  
② If λ+μ=1 and λ<0, then point P is on the extension line of segment BC;  
③ If λ+μ>1, then point P is outside △OBC;  
④ If λ+μ<1, then point P is inside △OBC.

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