2. The positional relationship between the quadratic function $y=x^{2}-|k|$ and the direct proportion function $y=k x(k \neq 0)$ is $(\quad)$.
(A) Disjoint
(B) Tangent
(C) Intersecting
(D) Cannot be determined, depends on the value of $k$
2. C.

Idea 1: Draw the function graph. When $k \neq 0$, the origin is inside the parabola $y=x^{2}-|k|$, and any line $y=k x$ passing through the origin will intersect the parabola.
Idea 2: Solve the system of equations by eliminating $y$, resulting in a quadratic equation
$$
x^{2}-k x-|k|=0 \text {. }
$$

Since $\Delta=k^{2}+4|k|>0(k \neq 0)$, the two graphs must intersect at two points.