优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知\(\tan α=2\),\(\tan β=3\),则\(\tan (α+β)=\) ______ .
            • 2.
              在平面直角坐标系\(xOy\)中,角\(α\)与角\(β\)均以\(Ox\)为始边,它们的终边关于\(y\)轴对称\(.\)若角\(α\)的终边经过点\((3,4)\),则\(\tan (α-β)=\) ______ .
            • 3.
              若\(\sin ( \dfrac {π}{6}-α)= \dfrac { \sqrt {2}}{3}\),\(\sin (2α+ \dfrac {π}{6})\)的值为\((\)  \()\)
              A.\( \dfrac {5}{9}\)
              B.\(- \dfrac {5}{9}\)
              C.\( \dfrac {7}{9}\)
              D.\(- \dfrac {7}{9}\)
            • 4.
              设\(α∈(0, \dfrac {π}{2})\),\(β∈(0, \dfrac {π}{2})\),且\(\tan α= \dfrac {1}{7}\),\(\tan β= \dfrac {1}{3}\),则\(α+2β=\) ______ .
            • 5.
              已知\(\tan α\),\( \dfrac {1}{\tan \alpha }\)是关于\(x\)的方程\(x^{2}-kx+k^{2}-3=0\)的两个实根,且\(3π < α < \dfrac {7}{2}π\),则\(\cos α+\sin α=(\)  \()\)
              A.\( \sqrt {3}\)
              B.\( \sqrt {2}\)
              C.\(- \sqrt {2}\)
              D.\(- \sqrt {3}\)
            • 6.
              求值:\( \dfrac {1-\tan 15 ^{\circ} }{1+\tan 15 ^\circ }=(\)  \()\)
              A.\( \dfrac {1}{2}\)
              B.\( \sqrt {3}\)
              C.\( \dfrac { \sqrt {3}}{3}\)
              D.\( \dfrac { \sqrt {3}}{2}\)
            • 7.
              \(\sin 70^{\circ}\cos 20^{\circ}+\cos 70^{\circ}\sin 20^{\circ}=(\)  \()\)
              A.\(0\)
              B.\(-1\)
              C.\(1\)
              D.\(\sin 50^{\circ}\)
            • 8.
              已知\(\sin (α- \dfrac {π}{4})= \dfrac {1}{2}\),则\(\sin ( \dfrac {5π}{4}-α)=\) ______ .
            • 9.
              \(\sin 18^{\circ}⋅\sin 78^{\circ}-\cos 162^{\circ}⋅\cos 78^{\circ}\)等于\((\)  \()\)
              A.\(- \dfrac { \sqrt {3}}{2}\)
              B.\(- \dfrac {1}{2}\)
              C.\( \dfrac { \sqrt {3}}{2}\)
              D.\( \dfrac {1}{2}\)
            • 10.
              已知\(\tan α= \dfrac {1}{2}\),\(\tan (α-β)=- \dfrac {2}{5}\),那么\(\tan (β-2α)\)的值\(=\) ______ .
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