优优班--学霸训练营 > 知识点挑题
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            • 1.
              已知直线\(l_{1}\):\(x⋅\sin α+y-1=0\),直线\(l_{2}\):\(x-3y⋅\cos α+1=0\),若\(l_{1}⊥l_{2}\),则\(\sin 2α=(\)  \()\)
              A.\( \dfrac {2}{3}\)
              B.\(± \dfrac {3}{5}\)
              C.\(- \dfrac {3}{5}\)
              D.\( \dfrac {3}{5}\)
            • 2.
              若过点\(A(-2,m)\)和\(B(m,4)\)的直线与直线\(2x+y-1=0\)垂直,则\(m\)的值为\((\)  \()\)
              A.\(2\)
              B.\(0\)
              C.\(10\)
              D.\(-8\)
            • 3.
              直线\(l\)过点\((-4,0)\)且与圆\((x+1)^{2}+(y-2)^{2}=25\)交于\(A\)、\(B\)两点,如果\(|AB|=8\),那么直线\(l\)的方程为\((\)  \()\)
              A.\(5x+12y+20=0\)
              B.\(5x-12y+20=0\)或\(x+4=0\)
              C.\(5x-12y+20=0\)
              D.\(5x+12y+20=0\)或\(x+4=0\)
            • 4.
              已知过两点\(A(-3,m)\),\(B(m,5)\)的直线与直线\(3x+y-1=0\)平行,则\(m\)的值是\((\)  \()\)
              A.\(3\)
              B.\(7\)
              C.\(-7\)
              D.\(-9\)
            • 5.
              直线\((m+2)x+3my+7=0\)与直线\((m-2)x+(m+2)y-5=0\)相互垂直,则\(m\)的值\((\)  \()\)
              A.\( \dfrac {1}{2}\)
              B.\(-2\)
              C.\(-2\)或\(2\)
              D.\( \dfrac {1}{2}\)或\(-2\)
            • 6.
              已知直线\(l_{1}\);\(2x+y-2=0\),\(l_{2}\):\(ax+4y+1=0\),若\(l_{1}⊥l_{2}\),则\(a\)的值为\((\)  \()\)
              A.\(8\)
              B.\(2\)
              C.\(- \dfrac {1}{2}\)
              D.\(-2\)
            • 7.
              已知直线\(l\)经过点\(P(-2,5)\),且与直线\(4x+3y+2=0\)平行,则直线\(l\)的方程为 ______ .
            • 8.
              若过点\(A(4,\sin α)\)和\(B(5,\cos α)\)的直线与直线\(x-y+c=0\)平行,则\(|AB|\)的值为\((\)  \()\)
              A.\(6\)
              B.\( \sqrt {2}\)
              C.\(2\)
              D.\(2\) \( \sqrt {2}\)
            • 9.
              直线\(l\)经过点\((-2,1)\),且与直线\(2x-3y+5=0\)垂直,则\(l\)的方程是 ______ .
            • 10.
              直线\(2x+y+1=0\)的斜率为\(k\),在\(y\)轴上的截距为\(b\),则\((\)  \()\)
              A.\(k=2\),\(b=1\)
              B.\(k=-2\),\(b=-1\)
              C.\(k=-2\),\(b=1\)
              D.\(k=2\),\(b=-1\)
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