已知函数 f(x)={x3,x≥0,−x,x<0.f\left( x\right) = \left\{ \begin{array}{ll} {x}^{3}, & x \geq 0, \\ - x, & x < 0. \end{array}\right.f(x)={x3,−x,x≥0,x<0. 若函数 g(x)=f(x)−∣kx2−2x∣ (k∈R)g\left( x\right) = f\left( x\right) - \left| {k{x}^{2} - {2x}}\right| \;\left( {k \in \mathbf{R}}\right)g(x)=f(x)−kx2−2x(k∈R) 恰有 4 个零点,则 kkk 的取值范围是（ ）A. (−∞,−12)∪(22,+∞)\left( {-\infty , - \frac{1}{2}}\right) \cup \left( {2\sqrt{2}, + \infty }\right)(−∞,−21)∪(22,+∞) B. (−∞,−12)∪(0,22)\left( {-\infty , - \frac{1}{2}}\right) \cup \left( {0,2\sqrt{2}}\right)(−∞,−21)∪(0,22)C. (−∞,0)∪(0,22)\left( {-\infty ,0}\right) \cup \left( {0,2\sqrt{2}}\right)(−∞,0)∪(0,22) D. (−∞,0)∪(22,+∞)\left( {-\infty ,0}\right) \cup \left( {2\sqrt{2}, + \infty }\right)(−∞,0)∪(22,+∞)