优优班--学霸训练营 > 知识点挑题
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            • 1. 一条光线从点\((-2,-3)\)射出,经\(y\)轴反射后与圆\((x+3)^{2}+(y-2)^{2}=1\)相切,则反射光线所在直线的斜率为\((\)  \()\)
              A.\(- \dfrac {5}{3}\)或\(- \dfrac {3}{5}\)
              B.\(- \dfrac {3}{2}\)或\(- \dfrac {2}{3}\)
              C.\(- \dfrac {5}{4}\)或\(- \dfrac {4}{5}\)
              D.\(- \dfrac {4}{3}\)或\(- \dfrac {3}{4}\)
            • 2.
              设抛物线\(y^{2}=8x\)的准线与\(x\)轴交于点\(Q\),若过点\(Q\)的直线\(l\)与抛物线有公共点,则直线\(l\)的斜率的取值范围是\((\)  \()\)
              A.\([- \dfrac {1}{2}, \dfrac {1}{2}]\)
              B.\([-2,2]\)
              C.\([-1,1]\)
              D.\([-4,4]\)
            • 3.
              若直线过点\((1,1)\),\((2,1+ \sqrt {3})\),则此直线的倾斜角的大小为\((\)  \()\)
              A.\(30^{\circ}\)
              B.\(45^{\circ}\)
              C.\(60^{\circ}\)
              D.\(90^{\circ}\)
            • 4.
              若实数\(x\)、\(y\)满足\((x-2)^{2}+y^{2}=3\),则\( \dfrac {y}{x}\)的最大值为 ______ .
            • 5.
              曲线\(y=- \dfrac {1}{3}x^{3}-2\)在点\((-1,- \dfrac {5}{3})\)处切线的倾斜角为\((\)  \()\)
              A.\(30^{\circ}\)
              B.\(45^{\circ}\)
              C.\(135^{\circ}\)
              D.\(150^{\circ}\)
            • 6.
              从\(A\)处望\(B\)处的仰角为\(α\),从\(B\)处望\(A\)处的俯角为\(β\),则\(α\)、\(β\)的关系为\((\)  \()\)
              A.\(α > β\)
              B.\(α=β\)
              C.\(α+β=90^{\circ}\)
              D.\(α+β=180^{\circ}\)
            • 7.
              直线\(l\)斜率的在\([- \sqrt {3}, \dfrac { \sqrt {3}}{3}]\)上取值时,倾斜角的范围是 ______ .
            • 8.
              直线\(x+y+1=0\)的倾斜角是\((\)  \()\)
              A.\(- \dfrac {π}{4}\)
              B.\( \dfrac {π}{4}\)
              C.\( \dfrac {π}{2}\)
              D.\( \dfrac {3π}{4}\)
            • 9.
              已知\(A(-1,2)\),\(B(-2,4)\),则直线\(AB\)的斜率为\((\)  \()\)
              A.\(-2\)
              B.\(- \dfrac {1}{2}\)
              C.\( \dfrac {1}{2}\)
              D.\(2\)
            • 10.
              直线\( \sqrt {3}x-y+3=0\)的倾斜角\(θ=\) ______ .
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