优优班--学霸训练营 > 知识点挑题
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            • 1. 已知角\(α\)的终边上一点的坐标为\((\sin \dfrac{2\pi }{3},\cos \dfrac{2\pi }{3})\),则角\(α\)的最小正角是\((\)   \()\)
              A.\(\dfrac{5\pi }{6}\)
              B.\(\dfrac{2\pi }{3}\)
              C.\(\dfrac{5\pi }{3}\)
              D.\(\dfrac{11\pi }{6}\)
            • 2. 设\(A{=}\{\theta{|}\theta\)为锐角\(\}{,}B{=}\{\theta{|}\theta\)为小于\(90^{{∘}}\)的角\(\}{,}C{=}\{\theta{|}\theta\)为第一象限的角\(\}{,}D{=}\{\theta{|}\theta\)为小于\(90^{{∘}}\)的正角\(\}\),则下列等式中成立的是
              A.\(A{=}B\)
              B.\(B{=}C\)
              C.\(A{=}C\)
              D.\(A{=}D\)
            • 3.

              若\(α\)是第三象限角,则\(y= \dfrac{\left| \left. \sin \dfrac{α}{2} \right. \right|}{\sin \dfrac{α}{2}}+ \dfrac{\left| \left. \cos \dfrac{α}{2} \right. \right|}{\cos \dfrac{α}{2}}\)的值为\((\)  \()\)

              A.\(0\)                                                                            
              B.\(2\)

              C.\(-2\)                                                                         
              D.\(2\)或\(-2\)
            • 4.
              下列与\( \dfrac{9π}{4}\)的终边相同的角的表达式中正确的是(    )
              A.\(2kπ+45^{\circ}(k∈Z)\)             
              B.\(k\)\(·360^{\circ}+ \dfrac{9}{4}π( \)\(k\)\(∈Z)\)
              C.\(k\)\(·360^{\circ}-315^{\circ}( \)\(k\)\(∈Z)\)     
              D.\(k\)\(π+ \dfrac{5π}{4}( \)\(k\)\(∈Z)\)
            • 5.

              下列各角中与\(- \dfrac {π}{4}\)终边相同的是\((\)  \()\)

              A.\(- \dfrac {3π}{4}\)
              B.\( \dfrac {π}{4}\)
              C.\( \dfrac {7π}{4}\)
              D.\( \dfrac {3π}{4}\)
            • 6.

              与角\(- \dfrac{π}{3} \)终边相同的角是\((\)  \()\)

              A.\( \dfrac{2π}{3} \)
              B.\( \dfrac{π}{6} \)
              C.\( \dfrac{5π}{3} \)
              D.\( \dfrac{5π}{6} \)
            • 7.

              已知角 \((k∈Z)\),若角\(θ\)与角\(α\)的终边相同,则的值为\((\)    \()\)

              A.\(1\)
              B.\(-1\)
              C.\(3\)
              D.\(-3\)
            • 8. 集合\(\{α|\) ,\(k∈Z\}\)中的角所表示的范围\((\)阴影部分\()\)是\((\)    \()\)
              A.
              B.
              C.
              D.
            • 9. 与\(610^{\circ}\)角终边相同的角表示为\((\)  \()\)
              A.\(k⋅360^{\circ}+270^{\circ}\)
              B.\(k⋅360^{\circ}+230^{\circ}\)
              C.\(k⋅360^{\circ}+70^{\circ}\)
              D.\(k⋅360^{\circ}+250^{\circ}\)
            • 10. 将\(-885^{\circ}\)化为\(α+k⋅360^{\circ}(0^{\circ}\leqslant α < 360^{\circ},k∈Z)\)的形式是\((\)  \()\)
              A.\(-165^{\circ}+(-2)⋅360^{\circ}\)
              B.\(195^{\circ}+(-3)⋅360^{\circ}\)
              C.\(195^{\circ}+(-2)360^{\circ}\)
              D.\(165^{\circ}+(-3)⋅360^{\circ}\)
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