优优班--学霸训练营 > 知识点挑题
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            • 1.
              过点\((-1,3)\)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.\(x-2y+7=0\)
            • 2.
              经过点\(A(3,0)\)且直线斜率\(k=1\)的直线方程是\((\)  \()\)
              A.\(x+y-3=0\)
              B.\(x-y-3=0\)
              C.\(x+y+3=0\)
              D.\(x-y+3=0\)
            • 3.
              直线\(l\)的斜率是\(3\),过点\(A(1,-2)\),则直线\(l\)的方程是\((\)  \()\)
              A.\(3x-y-5=0\)
              B.\(3x+y-5=0\)
              C.\(3x-y+1=0\)
              D.\(3x+y-1=0\)
            • 4.

              已知直线\(ax+y+a+1=0 \),不论\(a\)取何值,该直线恒过的定点是(    )

              A.\(\left( 1,-1 \right)\)
              B.\(\left(-1,1\right) \)
              C.\(\left(1,1\right) \)
              D.\(\left( -1,-1 \right)\)
            • 5.

              已知点\(A(1,3)\),\(B(-2,-1)\),若直接\(l:y=k(x-2)+1\)与线段\(AB\)相交,则\(k\)的取值范围是\((\)    \()\)


              A.\(\left[ \dfrac{1}{2}\ ,\ +\infty \right)\)
              B.\(\left( -\infty ,-2 \right]\)
              C.\(\left( -\infty ,-2 \right]\bigcup \left[ \dfrac{1}{2}\ ,\ +\infty \right)\)
              D.\(\left[ -2,\dfrac{1}{2} \right]\)


            • 6.

              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.\(x-2y=5\)
            • 7.
              已知函数\(f(x)=A\sin (ωx+φ)(ω > 0,0 < φ < π)\)的一段图象如图所示,则过点\(P(ω,φ)\),且斜率为\(A\)的直线方程是\((\)  \()\)
              A.\(y- \dfrac {π}{3}= \sqrt {3}(x-2)\)
              B.\(y- \dfrac {2π}{3}= \sqrt {3}(x-4)\)
              C.\(y- \dfrac {2π}{3}=2(x-4)\)
              D.\(y- \dfrac {2π}{3}=2(x-2)\)
            • 8.
              经过点\((1,0)\),倾斜角为\({{150}^{\circ }}\)的直线方程是\((\)    \()\)

              A.\(y=-\sqrt{3}x+1\)
              B.\(y=-\dfrac{\sqrt{3}}{3}x+1\)
              C.\(y=-\dfrac{\sqrt{3}}{3}x+\dfrac{\sqrt{3}}{3}\)
              D.\(y=-\dfrac{\sqrt{3}}{3}x-\dfrac{\sqrt{3}}{3}\)
            • 9.

              过点\((1,0)\)且与直线\(x-2y-2=0\)垂直的直线方程是

              A.\(x-2y-1=0\)
              B.\(x-2y+1=0\)
              C.\(2x+y-1=0\)
              D.\(2x+y-2=0\)
            • 10.
              过点\((1,2)\),且与直线\(x+2y+2=0\)垂直的直线方程为\((\)  \()\)
              A.\(2x-y=0\)
              B.\(x-2y+3=0\)
              C.\(2x+y-4=0\)
              D.\(x+2y-5=0\)
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