优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知直线\(l\)的参数方程为\( \begin{cases} \overset{x=1+t}{y=-1+t}\end{cases}(t\)为参数\()\),则直线\(l\)的普通方程为\((\)  \()\)
              A.\(x-y-2=0\)
              B.\(x-y+2=0\)
              C.\(x+y=0\)
              D.\(x+y-2=0\)
            • 2.

              已知点\(P\)所在曲线的极坐标方程为\(ρ=2\cos θ\),点\(Q\)所在曲线的参数方程为\(\begin{cases} x=1+t, \\ y=4+2t \end{cases}(t\)为参数\()\),则\(|PQ|\)的最小值是\((\)  \()\)

              A.\(2\)                   
              B.\( \dfrac{4 \sqrt{5}}{5}+1\)  
              C.\(1\)      
              D.\( \dfrac{4 \sqrt{5}}{5}-1\)
            • 3.
              已知直线\(l\):\( \begin{cases} x=t \\ y=t+1\end{cases}(t{为参数})\),圆\(C\):\(ρ=2\cos θ\),则圆心\(C\)到直线\(l\)的距离是\((\)  \()\)
              A.\(2\)
              B.\( \sqrt {3}\)
              C.\( \sqrt {2}\)
              D.\(1\)
            • 4.

              极坐标方程\(p=\cos θ \)和参数方程\(\begin{cases}x=-1-t \\ y=2+3t\end{cases} (t\)为参数\()\)所表示的图形分别是\((\)   \()\)

              A.圆、直线    
              B.直线、圆      
              C.圆、圆       
              D.直线、直线
            • 5.

              直线\(l\):\(\begin{cases} x=1+\dfrac{\sqrt{2}}{2}t \\ y=2+\dfrac{\sqrt{2}}{2}t \end{cases}(t\)为参数\()\)与圆\(C\):\(\begin{cases} x=2+2\cos \theta \\ y=1+2\sin \theta \end{cases}(\theta \)为参数\()\)的位置关系是(    )

              A.相离                                                  
              B.相切
              C.相交且过圆心                                    
              D.相交但不过圆心
            • 6.

              已知直线\(l\):\(\begin{cases} x= \sqrt{3}t, \\ y=2-t \end{cases}(t\)为参数\()\)和抛物线\(C\):\(y^{2}=2x\),\(l\)与\(C\)分别交于点\(P_{1}\),\(P_{2}\),则点\(A(0,2)\)到\(P_{1}\),\(P_{2}\)两点距离之和是\((\)  \()\)

              A.\(4+ \sqrt{3}\)
              B.\(2(2+ \sqrt{3})\)  
              C.\(4(2+ \sqrt{3})\) 
              D.\(8+ \sqrt{3}\)
            • 7.
              直线\( \begin{cases} x=3- \dfrac { \sqrt {3}}{2}t \\ y=1+ \dfrac {1}{2}t\end{cases}(t\)为参数\()\)的斜率为\((\)  \()\)
              A.\(- \dfrac { \sqrt {3}}{3}\)
              B.\(- \dfrac { \sqrt {3}}{2}\)
              C.\( \dfrac { \sqrt {3}}{3}\)
              D.\( \dfrac {1}{2}\)
            • 8.

              在平面直角坐标系\(xOy\)中,曲线\(C\)和\(C_{2}\)的参数方程分别为\(\begin{cases}x=t+ \dfrac{1}{t} \\ y=2\end{cases} (\)\(t\)为参数\()\)和\(\begin{cases}x=2\cos θ \\ y=2\sin θ\end{cases} (θ \)为参数\()\),则曲线的交点个数为(    )

              A.\(3\)        
              B.\(2\)        
              C.\(1\)        
              D.\(0\)
            • 9.

              直线\(\begin{cases}x=t\cos α \\ y=t\sin α\end{cases} (t\)为参数\()\)与圆\(\begin{cases}x=4+2\cos φ \\ y=2\sin φ\end{cases} (φ\)为参数\()\)相切,则此直线的倾斜角\(α(α > \dfrac{π}{2} )\)等于(    )

              A.\( \dfrac{5π}{6} \)
              B.\( \dfrac{3π}{4} \)
              C.\( \dfrac{2π}{3} \)
              D.\( \dfrac{π}{6} \)
            • 10.

              直线\(\begin{cases} & x=-2+\dfrac{1}{2}t \\ & y=\dfrac{1}{2}t \\ \end{cases}(t\)为参数\()\)的倾斜角\(\alpha \)等于\((\)     \()\)

              A.\(\dfrac{\pi }{6}\)
              B.\(\dfrac{\pi }{4}\)
              C.\(\dfrac{\pi }{3}\)
              D.\(\dfrac{3\pi }{4}\)
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