优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知\(0 < α < \)\(\dfrac{\pi }{{2}}\) \( < β < π\),\(\tan \dfrac{α}{2}= \dfrac{1}{2},\cos (β-α)= \dfrac{ \sqrt{2}}{10} \)

              \((1)\)求\(\dfrac{\cos 2\alpha }{\sqrt{2}\cos (\dfrac{\pi }{4}+\alpha )\sin \alpha }\) 的值

              \((2)\)求\(β\)的值

            • 2.
              若\(\sin x=- \dfrac {3}{5}(π < x < \dfrac {3}{2}π)\),则\(x=(\)  \()\)
              A.\(\arcsin (- \dfrac {3}{5})\)
              B.\(π+\arcsin \dfrac {3}{5}\)
              C.\(2π-\arcsin \dfrac {3}{5}\)
              D.\(π-\arcsin \dfrac {3}{5}\)
            • 3.
              函数\(f(x)=\arcsin x+\arctan x\)的值域是 ______ .
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