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            • 1.

              曲线\(y=\ln (2x-1)\)上的点到直线\(2x-y+3=0\)的最短距离是(    )

              A.\(2 \sqrt{5}\)              
              B.\( \sqrt{5}\)
              C.\(3 \sqrt{5}\)
              D.\(0\)
            • 2.

              点\(P\)是曲线\(x^{2}-y-2\ln \sqrt{x}=0\)上任意一点,则点\(P\)到直线\(4x+4y+1=0\)的最短距离是(    )

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

              直线\(2x-2y+1=0\)到直线\(x-y+1=0\)的距离是 (    )


              A.\(\dfrac{\sqrt{{2}}}{{2}}\)
              B.\(\dfrac{\sqrt{{2}}}{{4}}\)
              C.\(\sqrt{{2}}\)
              D.\(\dfrac{{1}}{{16}}\)
            • 4.

              已知直线\(x+2y-1=0\)与直线\(2x+\left( m+1 \right)y+m-2=0\)平行,则它们之间的距离为

              A.\(\dfrac{3}{2}\)                    
              B.\(2\)
              C.\(\dfrac{2\sqrt{5}}{5}\)
              D.\(\dfrac{3\sqrt{5}}{10}\)
            • 5.
              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.\( \dfrac {7 \sqrt {10}}{20}\)
            • 6.
              \(P\),\(Q\)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.\( \dfrac {29}{5}\)
            • 7.

              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.\( \dfrac{2}{5} \)
            • 8.

              若两平行直线\({{l}_{1}}\):\(x-2y+m=0(m > 0)\)与\({{l}_{2}}\):\(2x+ny-6=0\)之间的距离是\(\sqrt{5}\),则\(m+n=\)

              A.\(-2\)
              B.\(1\)
              C.\(0\)
              D.\(-1\)
            • 9. 直线\(2x-2y+1=0\)到直线\(x-y+1=17\)的距离是\((\)   \()\)
              A.\(\dfrac{\sqrt{2}}{2}\)
              B.\(\dfrac{\sqrt{2}}{4}\)
              C.\(\sqrt{2}\)
              D.\(\dfrac{1}{16}\)
            • 10.

              点\(P\)是曲线\(y=x^{2}-\ln x\)上任意一点,则点\(P\)到直线\(x-y+2=0\)的最短距离为\((\)  \()\)

              A.\( \sqrt{3} \)
              B.\( \dfrac{3 \sqrt{3}}{2} \)
              C.\( \dfrac{2 \sqrt{2}}{3} \)
              D.\( \sqrt{2} \)
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