优优班--学霸训练营 > 知识点挑题
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            • 1.
              过点\(( \sqrt {2},0)\)引直线\(l\)与曲线\(y= \sqrt {1-x^{2}}\)相交于\(A\),\(B\)两点,\(O\)为坐标原点,当\(\triangle ABO\)的面积取得最大值时,直线\(l\)的斜率等于\((\)  \()\)
              A.\( \dfrac { \sqrt {3}}{3}\)
              B.\(- \sqrt {3}\)
              C.\(± \dfrac { \sqrt {3}}{3}\)
              D.\(- \dfrac { \sqrt {3}}{3}\)
            • 2.
              直线\(x+y-1=0\)的倾斜角等于\((\)  \()\)
              A.\(45^{\circ}\)
              B.\(60^{\circ}\)
              C.\(120^{\circ}\)
              D.\(135^{\circ}\)
            • 3.
              设曲线\(y=x^{n+1}(n∈N^{*})\)在点\((1,1)\)处的切线与\(x\)轴的交点的横坐标为\(x_{n}\),则\(x_{1}⋅x_{2}⋅…⋅x_{n}\)的值为\((\)  \()\)
              A.\( \dfrac {1}{n}\)
              B.\( \dfrac {1}{n+1}\)
              C.\( \dfrac {n}{n+1}\)
              D.\(1\)
            • 4.
              如果\(a > 0\),\(b < -1\),那么函数\(f(x)=ax+b\)的图象经过\((\)  \()\)
              A.第一、二、四象限
              B.第二、三、四象限
              C.第一、二、三象限
              D.第一、三、四象限
            • 5.
              直线\(x+ \sqrt {3}y+1=0\)的倾斜角为\((\)  \()\)
              A.\(30^{\circ}\)
              B.\(60^{\circ}\)
              C.\(120^{\circ}\)
              D.\(150^{\circ}\)
            • 6.
              设\(P(x,y)\)是曲线\(C\):\( \begin{cases} \overset{x=-2+\cos \theta }{y=\sin \theta }\end{cases}(θ\)为参数,\(0\leqslant θ < 2π)\)上任意一点,则\( \dfrac {y}{x}\)的取值范围是\((\)  \()\)
              A.\([- \sqrt {3}, \sqrt {3}]\)
              B.\((-∞,- \sqrt {3}]∪[ \sqrt {3},+∞)\)
              C.\([- \dfrac { \sqrt {3}}{3}, \dfrac { \sqrt {3}}{3}]\)
              D.\((-∞,- \dfrac { \sqrt {3}}{3}]∪[ \dfrac { \sqrt {3}}{3},+∞)\)
            • 7.
              已知直线\(y=(2a-1)x+2\)的倾斜角为钝角,则实数\(a\)的取值范围是\((\)  \()\)
              A.\(a < \dfrac {1}{2}\)
              B.\(a > \dfrac {1}{2}\)
              C.\(a\leqslant \dfrac {1}{2}\)
              D.\(a\geqslant \dfrac {1}{2}\)
            • 8.
              已知点\(A(2,-3)\),\(B(-3,-2)\)直线\(l\)过点\(P(1,1)\),且与线段\(AB\)相交,则直线\(l\)的斜率\(k\)的取值范围是\((\)  \()\)
              A.\((-∞,-4]∪[ \dfrac {3}{4},+∞)\)
              B.\((-∞,- \dfrac {1}{4}]∪[ \dfrac {3}{4},+∞)\)
              C.\([-4, \dfrac {3}{4}]\)
              D.\([ \dfrac {3}{4},4]\)
            • 9.
              在直角坐标系中,直线\(x+ \sqrt {3}y-3=0\)的倾斜角是\((\)  \()\)
              A.\( \dfrac {π}{6}\)
              B.\( \dfrac {π}{3}\)
              C.\( \dfrac {5π}{6}\)
              D.\( \dfrac {2π}{3}\)
            • 10.
              直线\( \begin{cases} \overset{x=3+t\sin 20 ^\circ }{y=-1+t\cos 20 ^\circ }\end{cases}(t\)为参数\()\)的倾斜角是 ______ .
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