优优班--学霸训练营 > 知识点挑题
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            • 1.

              曲线\(C_{1}\)的参数方程为\(\begin{cases}x= \sqrt{2}\cos α \\ y=1+ \sqrt{2}\sin α\end{cases} (α \)为参数\()\),以原点为极点,\(x\)轴的非负半轴为极轴建立极坐标系,曲线\(C_{2}\)的极坐标方程为\(\sqrt{2}p\sin (θ+ \dfrac{π}{4})=5 .\)设点\(P\),\(Q\)分别在曲线\(C\)\(1\)和\(C\)\(2\)上运动,则\(\left|PQ\right| \)的最小值为

              A.\(\sqrt{2} \)
              B.\(2\sqrt{2} \)
              C.\(3\sqrt{2} \)
              D.\(4\sqrt{2} \)
            • 2.

              点\(M\)的直角坐标是\((-1, \sqrt{3})\),则点\(M\)的极坐标为\((\)  \()\)

              A.\(\left( \left. 2, \dfrac{π}{3} \right. \right)\)
              B.\(\left( \left. 2,- \dfrac{π}{3} \right. \right)\)

              C.\(\left( \left. 2, \dfrac{2π}{3} \right. \right)\)
              D.\(\left( \left. 2,2kπ+ \dfrac{2π}{3} \right. \right)\),\((k∈Z)\)
            • 3.

              将极坐标方程\({{\rho }^{2}}\cos \theta -\rho =0\)化为直角坐标方程是\((\)   \()\)

              A.\(x^{2}+y^{2}=0\)或\(y=1\)  
              B.\(x=1\)
              C.\(x^{2}+y^{2}=0\)或\(x=1\)  
              D.\(y=1\) 
            • 4. 点M的直角坐标(,-1)化成极坐标为(  )
              A.(2,
              B.(2,
              C.(2,
              D.(2,
            • 5.
              点\(M\)的直角坐标\(( \sqrt {3},-1)\)化成极坐标为\((\)  \()\)
              A.\((2, \dfrac {5π}{6})\)
              B.\((2, \dfrac {2π}{3})\)
              C.\((2, \dfrac {5π}{3})\)
              D.\((2, \dfrac {11π}{6})\)
            • 6.
              在曲线\( \begin{cases} \overset{x=\sin 2\theta }{y=\cos \theta +\sin \theta }\end{cases}(θ{为参数})\)上的点是\((\)  \()\)
              A.\(( \dfrac {1}{2},- \sqrt {2})\)
              B.\((- \dfrac {3}{4}, \dfrac {1}{2})\)
              C.\((2, \sqrt {3})\)
              D.\((1, \sqrt {3})\)
            • 7.

              在极坐标系中,点\(\left( 2,\dfrac{5\pi }{6} \right)\)到直线\(\rho \sin \left( \theta -\dfrac{\pi }{3} \right)=4\)的距离为(    )

              A.\(1\)      
              B.\(2\)      
              C.\(3\)      
              D.\(4\)
            • 8. 已知极坐标平面内的点\(P\left(2,- \dfrac{5π}{3}\right) \),则\(P\)关于极点的对称点的极坐标与直角坐标分别为(    )
              A.  \(\left(2, \dfrac{π}{3}\right),\left(1, \sqrt{3}\right) \)
              B.\(\left(2,- \dfrac{π}{3}\right),\left(1,- \sqrt{3}\right) \)
              C.\(\left(2, \dfrac{π}{3}\right),\left(-1, \sqrt{3}\right) \)
              D.\(\left(2,- \dfrac{2π}{3}\right),\left(-1,- \sqrt{3}\right) \)
            • 9.

              点\(p(1,- \sqrt{3}) \),则它的极坐标是\((\)  \()\)

              A.\((2,- \dfrac{π}{3}) \)
              B.\((2, \dfrac{π}{3}) \)
              C.\((2, \dfrac{4π}{3}) \)
              D.\((2,- \dfrac{4π}{3}) \)
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