11.(5分)(2011•陕西)设 $f(x)=\left\{\begin{array}{l}\lg x, x>0 \\ x+\int{ }_{0}^{a} 3 t^{2} d t, x \leqslant 0\end{array}\right.$ ,若 $f(f(1))=1$ ,则 $a=$ 1 .
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2011_退役省自主命题 (2011·理)
11.(5分)(2011•陕西)设 $f(x)=\left\{\begin{array}{l}\lg x, x>0 \\ x+\int{ }_{0}^{a} 3 t^{2} d t, x \leqslant 0\end{array}\right.$ ,若 $f(f(1))=1$ ,则 $a=$ 1 .