优优班--学霸训练营 > 知识点挑题
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            • 1.
              两直线\(3x+4y-10=0\)和\(6x+8y-7=0\)的距离为 ______ .
            • 2.
              已知两条平行直线\(l_{1}\):\(3x+4y+5=0\),\(l_{2}\):\(6x+by+c=0\)间的距离为\(3\),则\(b+c=(\)  \()\)
              A.\(-12\)
              B.\(48\)
              C.\(36\)
              D.\(-12\)或\(48\)
            • 3.

              已知两条平行直线\(3x+2y-6=0\)与\(6x+4y-3=0\),则这两条平行线间的距离为\(\_\)      

            • 4.
              \(l_{1}\),\(l_{2}\)是分别经过\(A(1,1)\),\(B(0,-1)\)两点的两条平行直线,当\(l_{1}\),\(l_{2}\)间的距离最大时,直线\(l_{1}\)的方程是 ______ .
            • 5.
              两平行直线\(x+2y-1=0\)与\(2x+4y+3=0\)间的距离为\((\)  \()\)
              A.\( \dfrac {2}{5} \sqrt {5}\)
              B.\( \dfrac { \sqrt {5}}{2}\)
              C.\( \dfrac {4}{5} \sqrt {5}\)
              D.\( \sqrt {5}\)
            • 6.
              两直线\(3x+y-3=0\)与\(6x+my+1=0\)平行,则它们之间的距离为\((\)  \()\)
              A.\(4\)
              B.\( \dfrac {2 \sqrt {13}}{13}\)
              C.\( \dfrac {5 \sqrt {13}}{26}\)
              D.\( \dfrac {7 \sqrt {10}}{20}\)
            • 7.
              \(P\),\(Q\)分别为直线\(3x+4y-12=0\)与\(6x+8y+5=0\)上任意一点,则\(|PQ|\)的最小值为\((\)  \()\)
              A.\( \dfrac {9}{5}\)
              B.\( \dfrac {18}{5}\)
              C.\( \dfrac {29}{10}\)
              D.\( \dfrac {29}{5}\)
            • 8.

              求下列直线的方程:

              \((1)\)已知直线\(l\):\(x+2y-3=0\),求与\(l\)平行且距离为\(1\)的直线方程.

              \((2)\)求垂直于直线\(x- \sqrt{3}y+1=0\)且到原点的距离等于\(5\)的直线方程.

            • 9.

              平行直线\(5x+12y+3=0\)与\(5x+12y+5=0\)的距离是:

              A.\(\dfrac{2}{13}\)
              B.\(\dfrac{1}{13}\)
              C.\(\dfrac{1}{26}\)
              D.\(\dfrac{5}{26}\)
            • 10.
              到直线\(3x-4y-1=0\)的距离为\(2\)的直线方程是\((\)  \()\)
              A.\(3x-4y-11=0\)
              B.\(3x-4y-11=0\)或\(3x-4y+9=0\)
              C.\(3x-4y+9=0\)
              D.\(3x-4y+11=0\)或\(3x-4y-9=0\)
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