优优班--学霸训练营 > 知识点挑题
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            • 1.
              在\(\triangle ABC\)中,角\(A\),\(B\)均为锐角,且\(\cos A > \sin B\),则\(\triangle ABC\)的形状是\((\)  \()\)
              A.直角三角形
              B.锐角三角形
              C.钝角三角形
              D.等腰三角形
            • 2.
              若\(\sin ( \dfrac {π}{2}-x)=- \dfrac { \sqrt {3}}{2}\),且\(π < x < 2π\),则\(x\)等于\((\)  \()\)
              A.\( \dfrac {4}{3}π\)
              B.\( \dfrac {7}{6}π\)
              C.\( \dfrac {5}{3}π\)
              D.\( \dfrac {11}{6}π\)
            • 3.
              三角函数值\(\sin 1\),\(\sin 2\),\(\sin 3\)的大小顺序是\((\)  \()\)
              A.\(\sin 1 > \sin 2 > \sin 3\)
              B.\(\sin 2 > \sin 1 > \sin 3\)
              C.\(\sin 1 > \sin 3 > \sin 2\)
              D.\(\sin 3 > \sin 2 > \sin 1\)
            • 4.
              已知\(\sin ( \dfrac {π}{3}+α)= \dfrac {1}{3}\),则\(\cos ( \dfrac {5π}{6}+α)=(\)  \()\)
              A.\( \dfrac {1}{3}\)
              B.\(- \dfrac {1}{3}\)
              C.\( \dfrac {2 \sqrt {2}}{3}\)
              D.\(- \dfrac {2 \sqrt {2}}{3}\)
            • 5.
              若\(\tan θ=2\),则\( \dfrac {2\cos θ}{\sin ( \dfrac {π}{2}+\theta )+\sin (\pi +\theta )}=(\)  \()\)
              A.\(-2\)
              B.\(2\)
              C.\(0\)
              D.\( \dfrac {2}{3}\)
            • 6.
              \(\sin 585^{\circ}\)的值为\((\)  \()\)
              A.\(- \dfrac { \sqrt {2}}{2}\)
              B.\( \dfrac { \sqrt {2}}{2}\)
              C.\(- \dfrac { \sqrt {3}}{2}\)
              D.\( \dfrac { \sqrt {3}}{2}\)
            • 7.

              已知\(\cos (α- \dfrac {π}{6})+\sin α= \dfrac {4}{5} \sqrt {3}\),则\(\sin (α+ \dfrac {7π}{6})\)的值是\((\)  \()\)
              A.\(- \dfrac {2 \sqrt {3}}{5}\)
              B.\( \dfrac {2 \sqrt {3}}{5}\)
              C.\(- \dfrac {4}{5}\)
              D.\( \dfrac {4}{5}\)
            • 8.
              函数\(y=\sin (x+ \dfrac {π}{2}),x∈R\)是\((\)  \()\)
              A.\([- \dfrac {π}{2}, \dfrac {π}{2}]\)上是增函数
              B.\([0,π]\)上是减函数
              C.\([-π,0]\)上是减函数
              D.\([-π,π]\)上是减函数
            • 9.
              将函数\(f(x)=\cos (π+x)(\cos x-2\sin x)+\sin ^{2}x\)的图象向左平移\( \dfrac {π}{8}\)后得到函数\(g(x)\),则\(g(x)\)具有性质\((\)  \()\)
              A.最大值为\( \sqrt {2}\),图象关于直线\(x= \dfrac {π}{2}\)对称
              B.周期为\(π\),图象关于\(( \dfrac {π}{4},0)\)对称
              C.在\((- \dfrac {π}{2},0)\)上单调递增,为偶函数
              D.在\((0, \dfrac {π}{4})\)上单调递增,为奇函数
            • 10.
              对于\(α∈R\),下列等式中恒成立的是\((\)  \()\)
              A.\(\cos (-α)=-\cos α\)
              B.\(\sin (-α)=-\sin α\)
              C.\(\sin (180^{\circ}-α)=-\sin α\)
              D.\(\cos (180^{\circ}+α)=\cos α\)
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