优优班--学霸训练营 > 知识点挑题
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            • 1.
              若点\((5,b)\)在两条平行直线\(6x-8y+1=0\)与\(3x-4y+5=0\)之间,则整数\(b\)的值为\((\)  \()\)
              A.\(5\)
              B.\(-5\)
              C.\(4\)
              D.\(-4\)
            • 2.
              过点\((1,0)\)且与直线\(x-2y-2=0\)平行的直线方程是\((\)  \()\)
              A.\(x-2y-1=0\)
              B.\(x-2y+1=0\)
              C.\(2x+y-2=0\)
              D.\(x+2y-1=0\)
            • 3.
              若直线\(l_{1}\):\(2x+(m+1)y+4=0\)与直线\(l_{2}\):\(mx+3y-2=0\)平行,则\(m\)的值为\((\)  \()\)
              A.\(-2\)
              B.\(-3\)
              C.\(2\)或\(-3\)
              D.\(-2\)或\(-3\)
            • 4.
              已知直线\(l\)的倾斜角为\( \dfrac {3}{4}π\),直线\(l_{1}\)经过点\(A(3,2)\)、\(B(a,-1)\),且\(l_{1}\)与\(l\)垂直,直线\(l_{2}\):\(2x+by+1=0\)与直线\(l_{1}\)平行,则\(a+b\)等于\((\)  \()\)
              A.\(-4\)
              B.\(-2\)
              C.\(0\)
              D.\(2\)
            • 5.
              两条平行直线\(3x+4y-12=0\)与\(ax+8y+11=0\)间的距离为\((\)  \()\)
              A.\( \dfrac {13}{10}\)
              B.\( \dfrac {13}{5}\)
              C.\( \dfrac {7}{2}\)
              D.\( \dfrac {23}{5}\)
            • 6.
              若直线\(2mx+y+6=0\)与直线\((m-3)x-y+7=0\)平行,则\(m\)的值为\((\)  \()\)
              A.\(-1\)
              B.\(1\)
              C.\(1\)或\(-1\)
              D.\(3\)
            • 7.

              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.\(\dfrac{1}{2}(1+\ln 2)\)
            • 8.

              若直线\({{l}_{1}}:(m+3)x+4y+3m-5=0\)与\({{l}_{2}}:2x+(m+5)y-8=0\)平行,则\(m\)的值为(    )

              A.\(-7\)
              B.\(-1\)或\(-7\)
              C.\(-6\)
              D.\(-\dfrac{13}{3}\) 
            • 9.

              若过点\(A(4{,}\sin\alpha)\)和\(B(5{,}\cos\alpha)\)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.\(2\sqrt{2}\)
            • 10.

              下列命题中正确的是(    )

              A.若\(p∨q\)为真命题,则\(p∧q\)为真命题

              B.若直线\(ax+y-1=0\)与直线\(x+ay+2=0\)平行,则\(a=1\)

              C.若命题“\(∃x∈R\),\(x^{2}+(a-1)x+1 < 0\)”是真命题,则实数\(a\)的取值范围是\(a < -1\)或\(a > 3\)

              D.命题“若\(x^{2}-3x+2=0\),则\(x=1\)或\(x=2\)”的逆否命题为“若\(x\neq 1\)或\(x\neq 2\),则\(x^{2}-3x+2\neq 0\)”
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