优优班--学霸训练营 > 知识点挑题
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            • 1.

              如果两条直线\(l_{1}\)与\(l\)垂直,则它们的斜率之积一定等于\(-1.(\)  \()\)

              A.\(√\)
              B.\(×\)
            • 2.

              已知直线\(l_{1}:mx-y+3=0\)与\(l_{2}\)关于直线\(y=x\)对称, \(l_{2}\)与\(l_{3}:y=-\dfrac{1}{2}x+\dfrac{1}{2}\)垂直,则\(m=\)  \((\)  \()\)

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

              已知两圆相交于\(A(1,3)\),\(B(m,-1)\),两圆的圆心均在直线\(x-y+c=0\)上,则\(m+2c\)的值为(    )

              A.\(-1\)                                           
              B.\(1\)

              C.\(3\)                                              
              D.\(0\)
            • 4.

              已知点\(A(1,2)\),\(B(3,1)\),则线段\(AB\)的垂直平分线\(l\)的方程是(    )

              A.\(4x+2y=5\)
              B.\(4x-2y=5\)
              C.\(x+2y=5\)
              D.\(x-2y=5\)
            • 5.

              若曲线\(y={{x}^{2}}-1\)与\(y=1+{{x}^{3}}\)在点\(x={{x}_{0}}\)处的切线互相垂直,则\({x}_{0} \)等于

              A.\( \dfrac{ \sqrt[3]{36}}{6} \)             
              B.\(- \dfrac{ \sqrt[3]{36}}{6} \)        
              C.\( \dfrac{2}{3} \)                
              D.\(-\dfrac{2}{3}\)或\(0\)
            • 6.

              已知直线\(l_{1}\):\(A_{1}x+B_{1}y+C_{1}=0\),\(l_{2}\):\(A_{2}x+B_{2}y+C_{2}=0(A_{1},B_{1},C_{1},A_{2},B_{2},C_{2}\)为常数\()\),若直线\(l_{1}⊥l_{2}\),则\(A_{1}A_{2}+B_{1}B_{2}=0.(\)  \()\)

              A.正确
              B.错误
            • 7.
              如果直线\(ax+2y+1=0\)与直线\(x+y-2=0\)互相垂直,那么\(a\)的值等于\((\)  \()\)
              A.\(1\)
              B.\(- \dfrac {1}{3}\)
              C.\(- \dfrac {2}{3}\)
              D.\(-2\)
            • 8.

              已知\(a > 0\), \(b > 0\), 两直线\({{l}_{1}}:(a-1)x+y-1=0\),\({{l}_{2}}:x+2by+1=0\),且\({{l}_{1}}\bot {{l}_{2}}\),则\(\dfrac{2}{a}+\dfrac{1}{b}\)的最小值为

              A.\(2\)
              B.\(4\)
              C.\(8\)
              D.\(9\)
            • 9.

              已知直线\(l\)与过点\(M(-\sqrt{3},\sqrt{2})\),\(N(\sqrt{2},-\sqrt{3})\)的直线垂直,则直线\(l\)的倾斜角是\((\)  \()\)

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

              若直线\(l_{1}\):\(2x-ay-1=0\)过点\((1,1)\),\(l\):\(x+2y=0\),则直线\(l_{1}\)与\(l\)

              A.平行
              B.相交但不垂直
              C.垂直
              D.相交于点\((2,-1)\)
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