优优班--学霸训练营 > 知识点挑题
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            • 1.
              若直线\(x=aπ(0 < a < 1)\)与函数\(y=\tan x\)的图象无公共点,则不等式\(\tan x\geqslant 2a\)的解集为\((\)  \()\)
              A.\(\{x|kπ+ \dfrac {π}{6}\leqslant x < kπ+ \dfrac {π}{2},k∈Z\}\)
              B.\(\{x|kπ+ \dfrac {π}{4}\leqslant x < kπ+ \dfrac {π}{2},k∈Z\}\)
              C.\(\{x|kπ+ \dfrac {π}{3}\leqslant x < kπ+ \dfrac {π}{2},k∈Z\}\)
              D.\(\{x|kπ- \dfrac {π}{4}\leqslant x\leqslant kπ+ \dfrac {π}{4},k∈Z\}\)
            • 2.
              已知点\(P(\sin θ,3\sin θ+1)(θ∈(0, \dfrac {π}{2}))\)在直线\(x+y-3=0\)上,则\(θ=(\)  \()\)
              A.\( \dfrac {5π}{12}\)
              B.\( \dfrac {π}{3}\)
              C.\( \dfrac {π}{4}\)
              D.\( \dfrac {π}{6}\)
            • 3.
              已知\(α∈( \dfrac {π}{2}, \dfrac {3π}{4})\),\(a=\sin α\),\(b=\cos α\),\(c=\tan α\),那么\(a\),\(b\),\(c\)的大小关系是\((\)  \()\)
              A.\(a > b > c\)
              B.\(b > a > c\)
              C.\(a > c > b\)
              D.\(c > a > b\)
            • 4.
              在平面直角坐标系中,\( \overparen {AB}\),\( \overparen {CD}\),\( \overparen {EF}\),\( \overparen {GH}\)是圆\(x^{2}+y^{2}=1\)上的四段弧\((\)如图\()\),点\(P\)其中一段上,角\(α\)以\(Ox\)为始边,\(OP\)为终边\(.\)若\(\tan α < \cos α < \sin α\),则\(P\)所在的圆弧是\((\)  \()\)
              A.\( \overparen {AB}\)
              B.\( \overparen {CD}\)
              C.\( \overparen {EF}\)
              D.\( \overparen {GH}\)
            • 5.

              已知\(a{=}\sin\dfrac{2\pi}{7}{,}b{=}\cos\dfrac{12\pi}{7}{,}c{=}\tan\dfrac{9\pi}{7}\),则\(({  })\)

              A.\(a{ > }b{ > }c\)
              B.\(c{ > }b{ > }a\)
              C.\(c{ > }a{ > }b\)
              D.\(a{ > }c{ > }b\)
            • 6.

              \(MP\),\(OM\),\(AT\)分别为\(θ(\)\( < θ < \)\()\)的正弦线、余弦线、正切线,则一定有(    )

              A.\(MP < OM < AT\)   
              B.\(OM < MP < AT\)   
              C.\(AT < 0M < MP\)   
              D.\(OM < AT < MP\)
            • 7.

              若\(- \dfrac{3π}{4} < α < - \dfrac{π}{2}\),从单位圆中的三角函数线观察\(\sin α\),\(\cos α\),\(\tan α\)的大小是\((\)  \()\)

              A.\(\sin α < \tan α < \cos α\)                                           
              B.\(\cos α < \sin α < \tan α\)

              C.\(\sin α < \cos α < \tan α\)                                           
              D.\(\tan α < \sin α < \cos α\)
            • 8. 已知角\(α\)的正弦线和余弦线长度相等,且\(α\)的终边在第二象限,则 \(\tan α=(\)  \()\)
              A.\(0\)
              B.\(1\)
              C.\(-1\)
              D.\( \sqrt {3}\)
            • 9.

              已知\(\alpha (0 < \alpha < 2\pi )\)的正弦线与余弦线相等,且符号相同,那么\(a\)的值为\((\)    \()\)

              A.\( \dfrac{π}{4} \)或\( \dfrac{3}{4}π \)
              B.\( \dfrac{5π}{4} \)或\( \dfrac{7}{4}π \)
              C.\( \dfrac{π}{4} \)或\( \dfrac{5}{4}π \)
              D.\( \dfrac{π}{4} \)或\( \dfrac{7}{4}π \)
            • 10.

              设\(a=\sin 2\),\(b=\cos 2\),\(c=\tan 2\),则\(a\),\(b\),\(c\)的大小关系是(    )

              A.\(a < b < c\)            
              B.\(c < b < a\)          
              C.\(b < a < c\)
              D.\(b < c < a\)
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