优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知角\(α\)的终边经过点\(P(-5,-12)\),则\(\sin ( \dfrac {3π}{2}+α)\)的值等于\((\)  \()\)
              A.\(- \dfrac {5}{13}\)
              B.\(- \dfrac {12}{13}\)
              C.\( \dfrac {5}{13}\)
              D.\( \dfrac {12}{13}\)
            • 2.
              已知\(\triangle ABC\)中,角\(A\),\(B\),\(C\)所对的边分别为\(a\),\(b\),\(c\),\(b\sin (B+C)+a\cos A=0\),且\(c=2\),\(\sin C= \dfrac {3}{5}\).
              \((1)\)求证:\(A= \dfrac {π}{2}+B\);
              \((2)\)求\(\triangle ABC\)的面积.
            • 3. 曲线和直线在y轴右侧的交点按横坐标从小到大依次记为P1,P2,P3,…,则|P2P4|等于 (  )
              A.π
              B.2π
              C.3π
              D.4π
            • 4.
              已知\(\sin α=- \dfrac {2 \sqrt {5}}{5}\),且\(\tan α < 0\)
              \((1)\)求\(\tan α\)的值;
              \((2)\)求\( \dfrac {2\sin (α+π)+\cos (2π-α)}{\cos (\alpha - \dfrac {π}{2})-\sin ( \dfrac {3π}{2}+\alpha )}\)的值.
            • 5.
              若\(\sin ( \dfrac {π}{2}+θ)= \dfrac {3}{5}\),则\(\cos 2θ=\) ______ .
            • 6.
              \(\sin (- \dfrac {4}{3}π)=(\)  \()\)
              A.\( \dfrac { \sqrt {3}}{2}\)
              B.\(- \dfrac { \sqrt {3}}{2}\)
              C.\( \dfrac {1}{2}\)
              D.\(- \dfrac {1}{2}\)
            • 7. =(  )
              A.
              B.
              C.
              D.
            • 8. 向量,且,则=(  )
              A.
              B.
              C.
              D.
            • 9. 【题文】已知sinx=2cosx,则sin2x+1=(  )
              A.
              B.
              C.
              D.
            • 10. (文)对任意的θ∈R,以下与sin(θ-
              π
              2
              )
              的值恒相等的式子为(  )
              A.sin(θ+
              π
              2
              )
              B.cos(θ+
              π
              2
              )
              C.cos(2π-θ)
              D.sin(θ+
              2
              )
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