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\(\left( 0,\dfrac{\pi }{2} \right)\)上的函数\(f\left( x \right)\),其导函数为\(f{{{"}}}\left( x \right)\),若\(f{{{"}}}\left( x \right) > 0\)和\(f{{{"}}}\left( x \right)+f\left( x \right){\tan }x < 0\)都恒成立,对于\(0 < \alpha < \beta < \dfrac{\pi }{2}\),下列结论中不一定成立的是\((\)  \()\)

    A. \(f\left( \alpha \right){\cos }\beta > f\left( \beta \right){\cos }\alpha \) B. \(f\left( \alpha \right){\cos }\alpha < f\left( \beta \right){\cos }\beta \) C. \(f\left( \alpha \right){\sin }\beta < f\left( \beta \right){\sin }\alpha \) D. \(f\left( \alpha \right){\sin }\alpha > f\left( \beta \right){\sin }\beta \)
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