优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知\(P(- \dfrac {4}{5}, \dfrac {3}{5})\)是角终边上一点,则\(2\sin α+\cos α\)的值等于\((\)  \()\)
              A.\( \dfrac {1}{5}\)
              B.\(- \dfrac {1}{5}\)
              C.\(- \dfrac {2}{5}\)
              D.\( \dfrac {2}{5}\)
            • 2.
              已知角\(a\)的终边经过点\(P(-4,m)\),且\(\sin α= \dfrac {3}{5}\),则\(m\)等于\((\)  \()\)
              A.\(3\)
              B.\( \dfrac {3}{5}\)
              C.\(-3\)
              D.\(- \dfrac {3}{5}\)
            • 3.
              已知角\(α\)的顶点在原点,始边为\(x\)轴的非负半轴,若角\(α\)的终边过点\(P(x,- \sqrt {2})\),且\(\cos α= \dfrac { \sqrt {3}}{6}x(x\neq 0)\),判断角\(α\)所在的象限,并求\(\sin α\)和\(\tan α\)的值.
            • 4.
              若点\(P(-3,4)\)在角\(α\)的终边上,则\(\cos α=(\)  \()\)
              A.\(- \dfrac {3}{5}\)
              B.\( \dfrac {3}{5}\)
              C.\(- \dfrac {4}{5}\)
              D.\( \dfrac {4}{5}\)
            • 5.
              已知角\(θ\)的终边经过点\(P(x,3)(x < 0)\)且\(\cos θ= \dfrac { \sqrt {10}}{10}x\),则\(x\)等于\((\)  \()\)
              A.\(-1\)
              B.\(- \dfrac {1}{3}\)
              C.\(-3\)
              D.\(- \dfrac {2 \sqrt {2}}{3}\)
            • 6.
              如图,在平面直角坐标系\(xOy\)中,一单位圆的圆心的初始位置在\((0,1)\),此时圆上一点\(P\)的位置在\((0,0)\),圆在\(x\)轴上沿正向滚动\(.\)当圆滚动到圆心位于\((1,1)\)时,\( \overrightarrow{OP}\)的坐标为\((\)  \()\)
              A.\((1-\sin 1,1-\cos 1)\)
              B.\((1+\sin 1,1-\cos 1)\)
              C.\((1-\sin 1,1+\cos 1)\)
              D.\((1+\sin 1,1+\cos 1)\)
            • 7.
              已知角\(α\)的终边经过点\(P(-3,-4)\),则\(\sin α=(\)  \()\)
              A.\(- \dfrac {4}{5}\)
              B.\(- \dfrac {3}{5}\)
              C.\( \dfrac {4}{3}\)
              D.\( \dfrac {3}{4}\)
            • 8.
              已知角\(α\)终边经过点\((4\sin θ,-3\sin θ)θ∈(π, \dfrac {3π}{2})\),求\(\sin α\),\(\cos α\),\(\tan α\).
            • 9.
              已知角\(θ\)的顶点与原点重合,始边与\(x\)轴的正半轴重合,终边过点\((1,2)\),则\(\tan 2θ=\) ______ .
            • 10.
              若点\(P(x,y)\)是\(330^{\circ}\)角终边上异于原点的一点,则\( \dfrac {y}{x}\)的值为\((\)  \()\)
              A.\( \sqrt {3}\)
              B.\(- \sqrt {3}\)
              C.\( \dfrac { \sqrt {3}}{3}\)
              D.\(- \dfrac { \sqrt {3}}{3}\)
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