3. The sum of the x-coordinates of the points where the graph of the function $y=x^{2}-2009|x|+2010$ intersects the x-axis is $\qquad$ .
3. 0 .

The original problem can be transformed into finding the sum of all real roots of the equation
$$
x^{2}-2009|x|+2010=0
$$

If a real number $x_{0}$ is a root of equation (1), then its opposite number $-x_{0}$ is also a root of equation (1).

Therefore, the sum of all real roots of the equation is 0, that is, the sum of the x-coordinates of the points where the graph intersects the x-axis is 0.