优优班--学霸训练营 > 知识点挑题
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            • 1.
              点\(P\)从点\(A(1,0)\)出发,沿单位圆\(x^{2}+y^{2}=1\)逆时针方向运动\( \dfrac {2π}{3}\)弧长到达点\(Q\),则点\(Q\)的坐标是\((\)  \()\)
              A.\((- \dfrac {1}{2}, \dfrac { \sqrt {3}}{2})\)
              B.\(( \dfrac { \sqrt {3}}{2}, \dfrac {1}{2})\)
              C.\((- \dfrac {1}{2},- \dfrac { \sqrt {3}}{2})\)
              D.\((- \dfrac { \sqrt {3}}{2}, \dfrac {1}{2})\)
            • 2.
              已知\(2\)弧度的圆心角所对的弦长为\(2\),那么这个圆心角所对的弧长为\((\)  \()\)
              A.\(2\)
              B.\(\sin 2\)
              C.\( \dfrac {2}{\sin 1}\)
              D.\(2\sin 1\)
            • 3.
              半径为\(π cm\),中心角为\(120^{\circ}\)的弧长为\((\)  \()\)
              A.\( \dfrac {π}{3}cm\)
              B.\( \dfrac {π^{2}}{3}cm\)
              C.\( \dfrac {2π}{3}cm\)
              D.\( \dfrac {2π^{2}}{3}cm\)
            • 4.

              点\(P\)从点\(A\left( 1,0 \right)\)出发,沿单位圆\({{x}^{2}}+{{y}^{2}}=1\)逆时针方向运动\(\dfrac{2\pi }{3}\)弧长到达点\(Q\),则点\(Q\)的坐标是\((\)  \()\)

              A.\(\left( -\dfrac{1}{2},\dfrac{\sqrt{3}}{2} \right)\)
              B.\(\left( \dfrac{\sqrt{3}}{2},\dfrac{1}{2} \right)\)
              C.\(\left( -\dfrac{1}{2},-\dfrac{\sqrt{3}}{2} \right)\)
              D.\(\left( -\dfrac{\sqrt{3}}{2},\dfrac{1}{2} \right)\)
            • 5.
              直径为\(4\)的圆中,\(36^{\circ}\)的圆心角所对的弧长是\((\)  \()\)
              A.\( \dfrac {4π}{5}\)
              B.\( \dfrac {2π}{5}\)
              C.\( \dfrac {π}{3}\)
              D.\( \dfrac {π}{2}\)
            • 6.

              如果一扇形的弧长为\(2πcm\),半径等于\(2 cm\),则扇形所对圆心角为(    )

              A.\(π\)
              B.\(2π\)
              C.\( \dfrac{π}{2}\)
              D.\( \dfrac{3π}{2}\)
            • 7.

              在半径为\(10\)的圆中,\(240^{\circ}\)的圆心角所对的弧长为

              A.\(\dfrac{40}{3}\pi \)
              B.\(\dfrac{20}{3}\pi \)
              C.\(\dfrac{200}{3}\)
              D.\(\dfrac{400}{3}\)
            • 8. 已知扇形的半径为\(3\),圆心角为\( \dfrac {2π}{3}\),则扇形的弧长为\((\)  \()\)
              A.\(3π\)
              B.\(2π\)
              C.\(360\)
              D.\(540\)
            • 9. 已知扇形的面积为\(2\),扇形圆心角的弧度数是\(4\),则扇形的周长为\((\)  \()\)
              A.\(6\)
              B.\(6 \sqrt {2}\)
              C.\(10\)
              D.\(12\)
            • 10. 曲线\( \begin{cases} x=5csθ \\ =5\sin θ\end{cases}( \dfrac {π}{3}\leqslant θ\leqslant π)\)的是\((\)  \()\)
              A.\(5π\)
              B.\(10π\)
              C.\( \dfrac {5π}{3}\)
              D.\( \dfrac {10π}{3}\)
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