
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 proposition $p$: The equation $ax^2+ax-2=0$ has a solution on the interval $[-1,1]$, and the proposition $q$: There is exactly one real number $x$ such that $x^2+2ax+2a\leq0$.  
(I) If $f(x)=ax^2+ax-2$, then the graph of $f(x)$ must pass through two fixed points; please write down the coordinates of these two fixed points. (Only the coordinates of the two points need to be filled in).  
(II) If the proposition "$p$ or $q$" is a false proposition, determine the range of values for the real number $a$.

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