优优班--学霸训练营 > 知识点挑题
全部资源
          排序:
          最新 浏览

          50条信息

            • 1.

              已知\({\sin }\left( \alpha +\dfrac{\pi }{6} \right)=\dfrac{2\sqrt{5}}{5}\),则\({\cos }\left( \dfrac{\pi }{3}-\alpha \right)=\)(    )

              A.\(\dfrac{\sqrt{5}}{5}\)
              B.\(-\dfrac{\sqrt{5}}{5}\)
              C.\(\dfrac{2\sqrt{5}}{5}\)
              D.\(-\dfrac{2\sqrt{5}}{5}\)
            • 2.

              已知\(\sin(\dfrac{\pi}{4}{+}\alpha){=}\dfrac{2}{3}\),则\(\cos(\dfrac{\pi}{4}{-}\alpha)\)的值等于\(({  })\)

              A.\({-}\dfrac{2}{3}\)
              B.\(\dfrac{2}{3}\)
              C.\(\dfrac{\sqrt{5}}{3}\)
              D.\({±}\dfrac{\sqrt{5}}{3}\)
            • 3.

              \(\tan \left( -\dfrac{23}{6}\pi \right)=\)

              A.\(-\sqrt{3}\)
              B.\(\sqrt{3}\)
              C.\(-\dfrac{\sqrt{3}}{3}\)
              D.\(\dfrac{\sqrt{3}}{3}\)
            • 4.

              \( \dfrac{2\cos 80^{\circ}+\cos 160^{\circ}}{\cos 70^{\circ}}\)的值是(    )

              A.\(- \dfrac{1}{2}\)
              B.\(- \dfrac{ \sqrt{3}}{2}\)
              C.\(- \sqrt{3}\)
              D.\(- \sqrt{2}\)
            • 5.

              已知\(\sin (\dfrac{\pi }{3}-\theta )=\dfrac{3}{4}\),则\(\cos (\dfrac{\pi }{3}+2\theta )=\)

              A.\(\dfrac{3\sqrt{17}}{16}\)
              B.\(\dfrac{\sqrt{17}}{16}\)
              C.\(\dfrac{3}{16}\)
              D.\(\dfrac{1}{8}\)
            • 6.

              \(\sin 2\)\(α\)\(=\dfrac{24}{25}\),\(0 < \)\(α\)\( < \dfrac{\pi }{2}\),则\(\sqrt{2}\cos (\dfrac{\pi }{4}-\alpha )\)的值为           \(.\) 

            • 7. \( \dfrac{\sin 40^{\circ}- \sqrt{3}\cos 20^{\circ}}{\cos 10^{\circ}}= \)                
            • 8. 关于函数\(f(x)=\sin (2x- \dfrac {π}{4})\),有下列命题:
              \(①\)其表达式可写成\(f(x)=\cos (2x+ \dfrac {π}{4})\);
              \(②\)直线\(x=- \dfrac {π}{8}{是}f(x)\)图象的一条对称轴;
              \(③f(x)\)的图象可由\(g(x)=\sin 2x\)的图象向右平移\( \dfrac {π}{4}\)个单位得到;
              \(④\)存在\(α∈(0,π)\),使\(f(x+α)=f(x+3α)\)恒成立
              则其中真命题为\((\)  \()\)
              A.\(②③\)
              B.\(①②\)
              C.\(②④\)
              D.\(③④\)
            • 9.

              已知\(\sin \left( \dfrac{π}{2}+x\right)= \dfrac{3}{5} \),则\(\cos 2x\)的值为\((\)     \()\)

              A.\(- \dfrac{7}{25} \)
              B.\( \dfrac{16}{25} \)
              C.\( \dfrac{14}{25} \)
              D.\( \dfrac{7}{25} \)
            • 10.

              若\(\dfrac{\sin (\pi -\theta )+\cos (\theta -2\pi )}{\sin \theta +\cos (\pi +\theta )}=\dfrac{1}{2}\) ,则\(\tan \theta = (\)    \()\)

              A.\(3\)
              B.\(1\)
              C.\(-1\)
              D.\(-3\)
            0/40

            进入组卷