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#7fd8ee9a-9ff2-4867-9837-c8d6a6f75a39简单解答题集合新定义问题集合与常用逻辑用语

17.对于非空集合MM,定义ΦM(x)={0,xM,1,xM,\Phi _{M}(x)=\left\{{\left.\begin{array}{l}{0,x\notin M,}\\ {1,x\in M,}\end{array}\right.}\right.AABB是两个非空集合,且ABA\sube B,则ΦA(x)[1ΦB(x)]=\Phi _{A}(x)[1-\Phi _{B}(x)]=[ 0 ];若A={xsinx12}A=\{x\vert \sin x\geqslant \frac{1}{2}\}B=(a,2a)B=(a,2a),且存在xRx\in RΦA(x)+ΦB(x)=2\Phi _{A}(x)+\Phi _{B}(x)=2,则实数aa的取值范围是 [  ].