优优班--学霸训练营 > 知识点挑题
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            • 1.
              过抛物线方程为\(y^{2}=4x\)的焦点作直线\(l\)交于\(P(x_{1},y_{1})\),\(Q(x_{2},y_{2})\)两点,若\(x_{1}+x_{2}=6\),则\(|PQ|=\) ______ .
            • 2.
              抛物线\(y=4x^{2}\)的准线方程是\((\)  \()\)
              A.\(x=1\)
              B.\(x=- \dfrac {1}{4}\)
              C.\(y=-1\)
              D.\(y=- \dfrac {1}{16}\)
            • 3.
              抛物线\(y=-2x^{2}\)的焦点坐标是\((\)  \()\)
              A.\((- \dfrac {1}{2},0)\)
              B.\((-1,0)\)
              C.\((0,- \dfrac {1}{8})\)
              D.\((0,- \dfrac {1}{4})\)
            • 4.
              抛物线\(y^{2}=4x\)的准线方程是\((\)  \()\)
              A.\(x=1\)
              B.\(y=1\)
              C.\(x=-1\)
              D.\(y=-1\)
            • 5.
              抛物线\(y=- \dfrac {1}{8}x^{2}\)的焦点坐标是\((\)  \()\)
              A.\((0, \dfrac {1}{32})\)
              B.\(( \dfrac {1}{32},0)\)
              C.\((0,-2)\)
              D.\((-2,0)\)
            • 6.
              如图是抛物线形拱桥,当水面在\(l\)位置时,拱顶离水面\(2\)米,水面宽\(4\)米,则水位下降\(2\)米后\((\)水足够深\()\),水面宽\((\)  \()\)米.
              A.\(2 \sqrt {2}\)
              B.\(4 \sqrt {2}\)
              C.\(4 \sqrt {3}\)
              D.\(2 \sqrt {3}\)
            • 7. 设\(F\)为抛物线\(C\):\(y^{2}=3x\)的焦点,过\(F\)且倾斜角为\(30^{\circ}\)的直线交于\(C\)于\(A\),\(B\)两点,则\(|AB|=(\)  \()\)
              A.\( \dfrac { \sqrt {30}}{3}\)
              B.\(6\)
              C.\(12\)
              D.\(7 \sqrt {3}\)
            • 8.
              已知点\(A\)的坐标为\((5,2)\),\(F\)为抛物线\(y^{2}=x\)的焦点,若点\(P\)在抛物线上移动,当\(|PA|+|PF|\)取得最小值时,则点\(P\)的坐标是\((\)  \()\)
              A.\((1, \sqrt {2})\)
              B.\(( \sqrt {2},2)\)
              C.\(( \sqrt {2},-2)\)
              D.\((4,2)\)
            • 9.
              已知\(F\)是抛物线\(C\):\(y^{2}=8x\)的焦点,\(M\)是\(C\)上一点,\(FM\)的延长线交\(y\)轴于点\(N.\)若\(M\)为\(FN\)的中点,则\(|FN|=\) ______ .
            • 10.
              抛物线\(y=- \dfrac {1}{8}x^{2}\)的准线方程是\((\)  \()\)
              A.\(x= \dfrac {1}{32}\)
              B.\(y=2\)
              C.\(y= \dfrac {1}{32}\)
              D.\(y=-2\)
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