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#b96a1485-8c04-492a-8844-5d186313ca1f基础填空题零点与函数方程函数

17.已知函数f(x)={x+1,x0log2x,x>0f(x)=\left\{{\left.\begin{array}{l}{\vert {x+1}\vert ,x\leqslant 0}\\ {\vert {{{\log }_2}x}\vert ,x>0}\end{array}\right.}\right.,若方程f(x)=a(aR)f(x)=a(a\in R)有四个不同的解x1x_{1}x2x_{2}x3x_{3}x4x_{4},且x1<x2<x3<x4x_{1}<x_{2}<x_{3}<x_{4},则(x1+x2)x4(x_{1}+x_{2})x_{4}的取值范围是((  ))