17.对于非空集合MMM,定义ΦM(x)={0,x∉M,1,x∈M,\Phi _{M}(x)=\left\{{\left.\begin{array}{l}{0,x\notin M,}\\ {1,x\in M,}\end{array}\right.}\right.ΦM(x)={0,x∈/M,1,x∈M,若AAA,BBB是两个非空集合,且A⊆BA\sube BA⊆B,则ΦA(x)[1−ΦB(x)]=\Phi _{A}(x)[1-\Phi _{B}(x)]=ΦA(x)[1−ΦB(x)]=[ 0 ];若A={x∣sinx⩾12}A=\{x\vert \sin x\geqslant \frac{1}{2}\}A={x∣sinx⩾21},B=(a,2a)B=(a,2a)B=(a,2a),且存在x∈Rx\in Rx∈R,ΦA(x)+ΦB(x)=2\Phi _{A}(x)+\Phi _{B}(x)=2ΦA(x)+ΦB(x)=2,则实数aaa的取值范围是 [ ].