优优班--学霸训练营 > 知识点挑题
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            • 1.
              在直角坐标系中,若角\(α\)的终边经过点\(P(\sin \dfrac {5π}{3},\cos \dfrac {5π}{3})\),则\(\sin (π+α)=(\)  \()\)
              A.\(- \dfrac {1}{2}\)
              B.\(- \dfrac { \sqrt {3}}{2}\)
              C.\( \dfrac {1}{2}\)
              D.\( \dfrac { \sqrt {3}}{2}\)
            • 2.
              已知角\(α\)的终边上一点\(P(-4,3)\),则\(\cos α=(\)  \()\)
              A.\(- \dfrac {3}{5}\)
              B.\( \dfrac {3}{5}\)
              C.\(- \dfrac {4}{5}\)
              D.\( \dfrac {4}{5}\)
            • 3.
              若角\(α\)的终边经过点\((1,- \sqrt {3})\),则\(\sin α=(\)  \()\)
              A.\(- \dfrac {1}{2}\)
              B.\(- \dfrac { \sqrt {3}}{2}\)
              C.\( \dfrac {1}{2}\)
              D.\( \dfrac { \sqrt {3}}{2}\)
            • 4.
              若点\((\sin \dfrac {5π}{6},\cos \dfrac {5π}{6})\)在角\(α\)的终边上,则\(\sin α\)的值为\((\)  \()\)
              A.\(- \dfrac {1}{2}\)
              B.\( \dfrac {1}{2}\)
              C.\(- \dfrac { \sqrt {3}}{2}\)
              D.\( \dfrac { \sqrt {3}}{2}\)
            • 5.
              在平面直角坐标系\(xOy\)中,已知角\(α\)的终边经过点\(P(4,-3)\),则\(2\sin α+\cos α=\) ______ .
            • 6.
              在平面直角坐标系\(xOy\),点\(P(x_{0},y_{0})\)是单位圆\(O\)上第一象限内的点\(.∠xOP=α\),若\(\cos (α+ \dfrac {π}{3})=- \dfrac {11}{13}\),则\(x_{0}\)的值为 ______ .
            • 7.
              已知角\(α\)的终边经过点\(P(4a,3a)(a < 0)\),则\(25\sin α-7\tan 2α\)的值为 ______ .
            • 8.
              若角\(α\)的终边过点\((1,-2)\),则\(\sin α\cos α=\) ______ .
            • 9.
              在平面直角坐标系\(xOy\)中,角\(θ\)以\(Ox\) 为始边,终边与单位圆交于点\(( \dfrac {3}{5}, \dfrac {4}{5})\),则 \(\tan (π+θ)\)的值为\((\)  \()\)
              A.\( \dfrac {4}{3}\)
              B.\( \dfrac {3}{4}\)
              C.\(- \dfrac {4}{3}\)
              D.\(- \dfrac {3}{4}\)
            • 10.
              已知角\(α\)的顶点与原点\(O\)重合,始边与\(x\)轴的正半轴重合,若它的终边经过点\(P(2,1)\),则\(\tan 2α=(\)  \()\)
              A.\( \dfrac {4}{3}\)
              B.\( \dfrac {1}{2}\)
              C.\(- \dfrac {1}{2}\)
              D.\(- \dfrac {4}{3}\)
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