优优班--学霸训练营 > 题目详情
  • 设\(x_{1}\),\(x_{2}∈(0, \dfrac {π}{2})\),且\(x_{1}\neq x_{2}\),下列不等式中成立的是\((\)  \()\)
    \(① \dfrac {1}{2}(\sin x_{1}+\sin x_{2}) > \sin \dfrac {x_{1}+x_{2}}{2}\);
    \(② \dfrac {1}{2}(\cos x_{1}+\cos x_{2}) > \cos \dfrac {x_{1}+x_{2}}{2}\);
    \(③ \dfrac {1}{2}(\tan x_{1}+\tan x_{2}) > \tan \dfrac {x_{1}+x_{2}}{2}\);
    \(④ \dfrac {1}{2}( \dfrac {1}{\tan x_{1}}+ \dfrac {1}{\tan x_{2}}) > \dfrac {1}{\tan \dfrac {x_{1}+x_{2}}{2}}\).
    【考点】三角函数线
    【分析】请登陆后查看
    【解答】请登陆后查看
    难度:较易
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