优优班--学霸训练营 > 知识点挑题
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            • 1.
              若\(\sin (π+α)= \dfrac {2}{3}\),则\(\cos 2α\)的值为\((\)  \()\)
              A.\( \dfrac {1}{9}\)
              B.\( \dfrac {2}{9}\)
              C.\( \dfrac {1}{3}\)
              D.\(- \dfrac {1}{3}\)
            • 2.
              已知\(α\)为第二象限角,\(\cos α=- \dfrac {3}{5}\),则\(\sin 2α=(\)  \()\)
              A.\(- \dfrac {24}{25}\)
              B.\(- \dfrac {12}{25}\)
              C.\( \dfrac {123}{25}\)
              D.\( \dfrac {24}{25}\)
            • 3.
              若\(\tan α= \dfrac {3}{4}\),则\(\cos ^{2}α+2\sin 2α=(\)  \()\)
              A.\( \dfrac {64}{25}\)
              B.\( \dfrac {48}{25}\)
              C.\(1\)
              D.\( \dfrac {16}{25}\)
            • 4.
              已知函数\(f(x)=2\sin x\cos x+\cos 2x\).
              \((\)Ⅰ\()\)求\(f(x)\)的最小正周期及单调递增区间;
              \((\)Ⅱ\()\)求\(f(x)\)在区间\([0, \dfrac {π}{2}]\)上的最大值和最小值.
            • 5.
              已知\(\sin α-\cos α= \dfrac {4}{3}\),则\(\sin 2α=(\)  \()\)
              A.\(- \dfrac {7}{9}\)
              B.\(- \dfrac {2}{9}\)
              C.\( \dfrac {2}{9}\)
              D.\( \dfrac {7}{9}\)
            • 6.
              已知函数\(y=\log _{a}(x-1)+3(a > 0\)且\(a\neq 1)\)的图象恒过定点\(P\),若角\(α\)的终边经过点\(P\),则\(\sin ^{2}α-\sin 2α\)的值等于\((\)  \()\)
              A.\( \dfrac {3}{13}\)
              B.\( \dfrac {5}{13}\)
              C.\(- \dfrac {3}{13}\)
              D.\(- \dfrac {5}{13}\)
            • 7.
              已知\(\cos α= \dfrac {2 \sqrt {5}}{5}\),则\(\cos 2α\)的值为\((\)  \()\)
              A.\(- \dfrac {4}{5}\)
              B.\( \dfrac {4}{5}\)
              C.\(- \dfrac {3}{5}\)
              D.\( \dfrac {3}{5}\)
            • 8.
              已知\(\tan x=2\),求\(\cos 2x=\) ______ .
            • 9.
              已知函数\(f(x)=\sin x\cos x\),那么\(f(x)\)的最小正周期是 ______ .
            • 10.
              点\(A(\cos 2018^{\circ},\sin 2018^{\circ})\)在直角坐标平面上位于\((\)  \()\)
              A.第一象限
              B.第二象限
              C.第三象限
              D.第四象限
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