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.
              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.\(\sin 3 > \sin 2 > \sin 1\)
            • 3.
              已知\(\sin ( \dfrac {π}{6}+α)= \dfrac {1}{3}\),则\(\cos ( \dfrac {2π}{3}-2α)=\) ______
            • 4.
              已知\(\tan (π+α)=- \dfrac {1}{3}\),\(\tan (α+β)= \dfrac {\sin α+2\cos α}{5\cos \alpha -\sin \alpha }\).
              \((1)\)求\(\tan (α+β)\)的值;
              \((2)\)求\(\tan β\)的值.
            • 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.
              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
            • 7.
              若\(\sin ( \dfrac {π}{6}+α)= \dfrac {3}{5}\),则\(\cos ( \dfrac {π}{3}-α)=(\)  \()\)
              A.\(- \dfrac {3}{5}\)
              B.\( \dfrac {3}{5}\)
              C.\( \dfrac {4}{5}\)
              D.\(- \dfrac {4}{5}\)
            • 8.
              已知\(\sin (π-a)=-2\sin ( \dfrac{π}{2}+a) \),则\(\sin a\cos a\)等于\((\)  \()\)
              A.\( \dfrac {2}{5}\)
              B.\(- \dfrac {2}{5}\)
              C.\( \dfrac {2}{5}{或}- \dfrac {2}{5}\)
              D.\(- \dfrac {1}{5}\)
            • 9.
              已知\(\sin (π+α)= \dfrac {4}{5}\),且\(α\)是第四象限角,则\(\cos (α-2π)\)的值是\((\)  \()\)
              A.\(- \dfrac {3}{5}\)
              B.\( \dfrac {3}{5}\)
              C.\(± \dfrac {3}{5}\)
              D.\( \dfrac {4}{5}\)
            • 10.
              已知\(\cos ( \dfrac {π}{2}-φ)= \dfrac { \sqrt {3}}{2}\),且\(|φ| < \dfrac {π}{2}\),则\(\tan φ=(\)  \()\)
              A.\(- \dfrac { \sqrt {3}}{3}\)
              B.\( \dfrac { \sqrt {3}}{3}\)
              C.\(- \sqrt {3}\)
              D.\( \sqrt {3}\)
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