优优班--学霸训练营 > 知识点挑题
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            • 1.
              \(l_{1}\),\(l_{2}\)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 ______ .
            • 2.
              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.\( \dfrac {7 \sqrt {10}}{20}\)
            • 3.
              \(P\),\(Q\)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.\( \dfrac {29}{5}\)
            • 4.
              直线\(x+2y+3=0\)与直线\(2x+4y+5=0\)的距离等于 ______ .
            • 5.

              若直线\(l_{1}:x-2y+1=0\)与\(l_{2}:2x+ay-2=0\)平行,则\(l_{1}\)与\(l_{2}\)的距离为\((\)     \()\)

              A.\( \dfrac{ \sqrt{5}}{5} \)
              B.\( \dfrac{2 \sqrt{5}}{5} \)
              C.\( \dfrac{1}{5} \)
              D.\( \dfrac{2}{5} \)
            • 6.

              平行直线\(l_{1}\):\(x-y+1=0\)与\(l_{2}\):\(3x-3y+1=0\)的距离等于__________.

            • 7. 已知两条平行直线\(l_{1}\):\(3x+4y-4=0\)与\(l_{2}\):\(ax+8y+2=0\),则它们之间的距离是 ______
            • 8.
              与直线 \(l\)\({\,\!}_{1}\):\(3\) \(x\)\(+2\) \(y\)\(-6=0\)和直线 \(l\)\({\,\!}_{2}\):\(6\) \(x\)\(+4\) \(y\)\(-3=0\)等距离的直线方程是________.
            • 9.
              已知直线\(3x+my-3=0\)与\(6x+4y+1=0\)互相平行,则它们之间的距离是\((\)  \()\)
              A.\(4\)
              B.\( \dfrac {2 \sqrt {13}}{13}\)
              C.\( \dfrac {5 \sqrt {13}}{26}\)
              D.\( \dfrac {7 \sqrt {13}}{26}\)
            • 10.

              已知直线 \(l\)\({\,\!}_{1}\): \(x\)\(+\) \(y\)\(+1=0\), \(l\)\({\,\!}_{2}\): \(x\)\(+\) \(y\)\(-1=0\),则 \(l\)\({\,\!}_{1}\), \(l\)\({\,\!}_{2}\)之间的距离为(    )
              A.\(1\)                                  
              B.\( \sqrt{2}\)
              C.\( \sqrt{3}\)                             
              D.\(2\)
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