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#9715827f-107c-4cc0-a64e-72970d346bfb中等填空题函数的奇偶性函数

9.已知函数f(x)f(x)是定义在RR上的偶函数,若对任意的x1x_{1}x2[0x_{2}\in [0+)+\infty ),且x1x2x_{1}\ne x_{2},都有(x1x2)(x1f(x1)x2f(x2))<0(x_{1}-x_{2})(x_{1}f(x_{1})-x_{2}f(x_{2}))<0成立,则不等式λf(λ)+(12λ)f(12λ)>0\lambda f(\lambda )+(1-2\lambda )f(1-2\lambda )>0的解集为((  ))