职教组卷基于海量职教高考试题库建立的在线组卷及学习系统
职教组卷
  • 题型:选择题 题类:其他 难易度:难

    定义在\(\left( 0,+\infty \right)\)上的函数\(f\left( x \right)\)的导函数\({f}{{{"}}}\left( x \right)\)满足\(\sqrt{x}{f}{{{"}}}\left( x \right) < \dfrac{1}{2}\),则下列不等式中,一定成立的是(    )

    A. \(f\left( 9 \right)-1 < f\left( 4 \right) < f\left( 1 \right)+1\) B. \(f\left( 1 \right)+1 < f\left( 4 \right) < f\left( 9 \right)-1\)

    C. \(f\left( 5 \right)+2 < f\left( 4 \right) < f\left( 1 \right)-1\) D. \(f\left( 1 \right)-1 < f\left( 4 \right) < f\left( 5 \right)+2\)
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