优优班--学霸训练营 > 知识点挑题
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            • 1.
              直线\(2x-3y+2=0\)关于\(x\)轴对称的直线方程为\((\)  \()\)
              A.\(2x+3y+2=0\)
              B.\(2x+3y-2=0\)
              C.\(2x-3y-2=0\)
              D.\(2x-3y+2=0\)
            • 2.
              光线沿着直线\(y=-3x+b\)射到直线\(x+y=0\)上,经反射后沿着直线\(y=ax+2\)射出,则有\((\)  \()\)
              A.\(a= \dfrac {1}{3}\),\(b=6\)
              B.\(a=- \dfrac {1}{3}\),\(b=-6\)
              C.\(a=3\),\(b=- \dfrac {1}{6}\)
              D.\(a=-3\),\(b= \dfrac {1}{6}\)
            • 3.
              已知\(a\),\(b\)满足\(a+2b=1\),则直线\(ax+3y+b=0\)必过定点\((\)  \()\)
              A.\((- \dfrac {1}{6}, \dfrac {1}{2})\)
              B.\(( \dfrac {1}{2},- \dfrac {1}{6})\)
              C.\(( \dfrac {1}{2}, \dfrac {1}{6})\)
              D.\(( \dfrac {1}{6},- \dfrac {1}{2})\)
            • 4.
              直线\(2x+3y-6=0\)关于点\((1,-1)\)对称的直线是\((\)  \()\)
              A.\(3x-2y+2=0\)
              B.\(2x+3y+7=0\)
              C.\(3x-2y-12=0\)
              D.\(2x+3y+8=0\)
            • 5. 直线\(y-2=mx+m\)经过一定点,则该点的坐标是\((\)  \()\)
              A.\((-2,2)\)   
              B.\((2,-1)\)   
              C.\((-1,2)\)   
              D.\((2,1)\)
            • 6.

              已知\(\Delta {ABC}\)的一个顶点\(A(3,-1),∠B,∠C \)的角平分线方程分别是\(x=0,y=x,\)则\({BC}\)所在直线的直线方程为\((\)    \()\)

              A.\(2x-y{+}3=0\)
              B.\(2x-y{+}5=0\)
              C.\(3x-y{+}5=0\)
              D.\(2x+3y-5=0\)
            • 7.
              函数\(f(x)=a^{x-1}(a > 0\)且\(a\neq 1)\)恒过定点\(M\),直线\(y=kx-2k+3(k∈R)\)恒过定点\(N\),则直线\(MN\)的方程是\((\)  \()\)
              A.\(2x+y-1=0\)
              B.\(2x-y+1=0\)
              C.\(x-2y-1=0\)
              D.\(2x-y-1=0\)
            • 8.
              如图,已知两点\(A(4,0)\),\(B(0,4)\),从点\(P(2,0)\)射出的光线经直线\(AB\)反射后射到直线\(OB\)上,再经直线\(OB\)反射后射到\(P\)点,则光线所经过的路程\(PM+MN+NP\)等于\((\)  \()\)
              A.\(2 \sqrt {10}\)
              B.\(6\)
              C.\(3 \sqrt {3}\)
              D.\(2 \sqrt {5}\)
            • 9.
              已知点\(A(-1,0)\),\(B(1,0)\),\(C(0,1)\),直线\(y=kx+b(k\geqslant 0)\)将\(\triangle ABC\)分割为面积相等的两部分,则\(b\)的取值范围是\((\)  \()\)
              A.\((0,1)\)
              B.\([ \dfrac {1}{3}, \dfrac {1}{2})\)
              C.\([1- \dfrac { \sqrt {2}}{2}, \dfrac {1}{3}]\)
              D.\([1- \dfrac { \sqrt {2}}{2}, \dfrac {1}{2})\)
            • 10. 已\(C\):\(x2+y+mx4=0\)上存在两点关直线\(x-y+3=0\)对实数\(m\)的值\((\) \()\)
              A.\(8\)
              B.\(-4\)
              C.\(6\)
              D.无法确定
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