优优班--学霸训练营 > 知识点挑题
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            • 1. 柱坐标\(\left( \left. 2, \dfrac{π}{3},1 \right. \right)\)对应的点的直角坐标是\((\)  \()\)
              A.\(( \sqrt{3}\),\(-1\),\(1)\)        
              B.\(( \sqrt{3}\),\(1\),\(1)\)        
              C.\((1, \sqrt{3}\),\(1)\)        
              D.\((-1, \sqrt{3}\),\(1)\)
            • 2.

              把点\(M\)的球坐标\((8 ,\dfrac{π}{3} ,\dfrac{π}{6}) \)化为直角坐标为_____________.

            • 3. 设点\(M\)的柱坐标为\(\left( \sqrt{2}, \dfrac{5π}{4}, \sqrt{2}\right) \),则它的球坐标为\((\)  \()\)
              A.\(\left(2, \dfrac{π}{4}, \dfrac{π}{4}\right) \)
              B.\(\left(2, \dfrac{π}{4}, \dfrac{5π}{4}\right) \)
              C.\(\left(2, \dfrac{5π}{4}, \dfrac{π}{4}\right) \)
              D.\(\left(2, \dfrac{3π}{4}, \dfrac{π}{4}\right) \)
            • 4. 设点\(M\)的柱坐标为\(( \sqrt {2}, \dfrac {5π}{4}, \sqrt {2})\),则其直角坐标是 ______ .
            • 5.

              柱坐标\(P\left( \left. 16, \dfrac{π}{3},5 \right. \right)\)转换为直角坐标为\((\)  \()\)

              A.\((5,8,8 \sqrt{3})\)                              
              B.\((8,8 \sqrt{3},5)\)
              C.\((8 \sqrt{3},8,5)\)    
              D.\((4,8 \sqrt{3},5)\)
            • 6.
              点\(Q\)的直角坐标是\((1,- \sqrt {3},2)\),则它的柱坐标是 ______ .
            • 7.

              已知点\(M\)的柱坐标为\((2, \dfrac{π}{3} ,2)\),则点\(M\)的直角坐标为__________.

            • 8.
              在平面直角坐标系\(xOy\)中,直线\(l\)的参数方程为\( \begin{cases} \overset{x=-2-3t}{y=2-4t}\end{cases}(t{为参数})\)它与曲线\(C\):\((y-2)^{2}-x^{2}=1\)交于\(A\)、\(B\)两点.
              \((1)\)求\(|AB|\)的长;
              \((2)\)在以\(O\)为极点,\(x\)轴的正半轴为极轴建立极坐标系,设点\(P\)的极坐标为\((2 \sqrt {2}, \dfrac {3π}{4})\),求点\(P\)到线段\(AB\)中点\(M\)的距离.
            • 9. (理)已知点P1的球坐标是P1(4,),P2的柱坐标是P2(2,,1),则|P1P2|=(  )
              A.
              B.
              C.
              D.
            • 10. 把点M的直角坐标(-1,1,1)化为柱坐标是(  )
              A.,1)
              B.,1)
              C.,1)
              D.,1)
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