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#6e955d2d-03f3-482e-bc6f-7c78dbf57d2b简单解答题零点与函数方程函数

37.已知函数f(x)={ln(x),x<0x,0x1x1,x>1f(x)=\left\{\begin{array}{l}\left\vert ln(-x)\right\vert ,x<0\\ x,0\leqslant x\leqslant 1\\ {x}^{-1},x>1\end{array}\right.,若f(x)=mf(x)=m存在四个不相等的实根x1x_{1}x2x_{2}x3x_{3}x4(x1<x2<x3<x4)x_{4}(x_{1}<x_{2}<x_{3}<x_{4}),则4x32+x1x2x44{x}_{3}^{2}+{x}_{1}{x}_{2}{x}_{4}的最小值是 [ 3 ].