
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
There are the following four propositions:  
\\(①\\) The range of the function \\(y=x+ \dfrac {1}{4x} (x\neq 0)\\) is \\([1,+\infty)\\);  
\\(②\\) If a moving point \\(P\\) in the plane has equal distances to the point \\(F(-2,3)\\) and the line \\(l\\): \\(2x+y+1=0\\), then the trajectory of \\(P\\) is a parabola;  
\\(③\\) If line \\(AB\\) intersects plane \\(\alpha\\) at point \\(B\\), and \\(AB\\) intersects with three non-coincident lines \\(CB\\), \\(CE\\), \\(CF\\) within \\(\alpha\\) at point \\(C\\) with equal angles, then \\(AB \perp \alpha\\);  
\\(④\\) If \\(f(x)=x^{2}+bx+c (b,c \in \mathbb{R})\\), then \\(f( \dfrac {x_{1}+x_{2}}{2}) \leqslant \dfrac {1}{2}[f(x_{1})+f(x_{2})]\\).  
The correct proposition numbers are __________.

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