优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知点\(A\left( -1,3 \right)\),\(B\left( 3,-7 \right)\),则线段\(AB\)垂直平分线的方程为

              A.\(y-2=\dfrac{2}{5}\left( x+1 \right)\)
              B.\(y+2=\dfrac{2}{5}\left( x-1 \right)\)

              C.\(y-2=-\dfrac{5}{2}\left( x+1 \right)\)
              D.\(y+2=-\dfrac{5}{2}\left( x-1 \right)\)
            • 2.

              过圆\(C\):\({x}^{2}+{\left(y-1\right)}^{2}=4 \)的圆心,且与直线\(l\):\(3x+2y+1=0 \)垂直的直线方程是

              A.\(2x-3y+3=0 \)
              B.\(2x-3y-3=0 \)
              C.\(2x+3y+3=0 \)
              D.\(2x+3y-3=0 \)
            • 3.

              已知直线\(l\)\({\,\!}_{1}\):\((\)\(m\)\(-2)\)\(x\)\(+3\)\(y\)\(+2\)\(m\)\(=0\)和\(l\)\(x\)\(+\)\(my\)\(+6=0\),若\(l\)\({\,\!}_{1}⊥\)\(l\)\({\,\!}_{2}\),则实数\(m\)的值为(    )

              A.\(3\)或\(-1\) 
              B.\(3\) 
              C.\(-1\) 
              D.\( \dfrac{1}{2}\)
            • 4.
              过点\((5,3)\)且与直线\(x-2y-2=0\)垂直的直线方程是\((\)  \()\)
              A.\(x+2y-11=0\)
              B.\(2x+y-13=0\)
              C.\(2x-y-7=0\)
              D.\(x-2y+1=0\)
            • 5.

              经过点\(A(2,3)\)且与直线\(2x-y+1=0\)垂直的直线方程为 (    )

              A.\(2x-y-1=0\)
              B.\(x+2y-8=0\)
              C.\(x+2y-1=0\)
              D.\(x-2y-8=0\)
            • 6.

              已知两条直线\(l_{1}\):\(x+y-1=0\),\(l\):\(3x+ay+2=0\)且\(l_{1}⊥l_{2}\),则\(a\)等于\((\)  \()\)

              A.\(- \dfrac{1}{3}\)
              B.\( \dfrac{1}{3}\)
              C.\(-3\)
              D.\(3\)
            • 7. 过点\(P(-1,3)\),且垂直于直线\(x-2y+3=0\)的直线方程为\((\)  \()\)
              A. \(2x+y-1=0\)
              B.\(2x+y-5=0\)
              C.\(x+2y-5=0\)
              D.\(x-2y+7=0\) 
            • 8.

              已知曲线\(y=\dfrac{{{x}^{2}}}{2}-3\ln x\)的一条切线的与直线\(x\)\(+2\)\(y\)\(+10=0\)垂直,则切点的横坐标为\(( D\) \()\)

              A.\(\dfrac{1}{3}\)
              B.\(2\)
              C.\(1\)
              D.\(3\)
            • 9.

              已知直线\(2x+ay-1=0\)与直线\(ax+(2a-1)y+3=0\)垂直,则\(a=\)(    )

              A.\(- \dfrac{1}{2} \)
              B.\(0\)
              C.\(- \dfrac{1}{2} \)或\(0\)     
              D.\(-2\)或\(0\)
            • 10. 经过圆\(x^{2}+2x+y^{2}=0\)的圆心\(C\),且与直线\(x+y=0\)垂直的直线方程是           
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