10. Let $f(x)=x^{2}-2 a x-a^{2}-\frac{3}{4}$. If for any $x \in[0,1]$, we have $|f(x)| \leqslant 1$, then the range of real number $a$ is $\qquad$ .
10. $-\frac{1}{2} \leqslant a \leqslant \frac{\sqrt{2}}{4}$