优优班--学霸训练营 > 知识点挑题
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            • 1.

              已知直线\(ax+y+a+1=0 \),不论\(a\)取何值,该直线恒过的定点是(    )

              A.\(\left( 1,-1 \right)\)
              B.\(\left(-1,1\right) \)
              C.\(\left(1,1\right) \)
              D.\(\left( -1,-1 \right)\)
            • 2.

              过点\(P\left( 1,2 \right)\),并且在两坐标轴上的截距相等的直线方程是

              A.\(x+y-3=0\)\(x-2y=0\)
              B.\(x+y-3=0\)\(2x-y=0\)
              C.\(x-y+1=0\)或\(x+y-3=0\)
              D.\(x-y+1=0\)或\(2x-y=0\)
            • 3.
              已知两点\(A(0,1)\),\(B(4,3)\),则线段\(AB\)的垂直平分线方程是\((\)  \()\)
              A.\(x-2y+2=0\)
              B.\(2x+y-6=0\)
              C.\(x+2y-2=0\)
              D.\(2x-y+6=0\)
            • 4.

              过点\(P\left( 1,2 \right)\),并且在两坐标轴上的截距相等的直线方程是\((\)    \()\)

              A.\(x+y-3=0\)或\(x-2y=0\)
              B.\(x+y-3=0\)或\(2x-y=0\)      
              C.\(x-y+1=0\)或\(x+y-3=0\)
              D.\(x-y+1=0\)或\(2x-y=0\)
            • 5.

              \(7.\)已知函数\(f(x)={x}^{3}+a{x}^{2}+bx+c,且0\leqslant f(-1)=f(-2)=f(-3)\leqslant 3则 (\)    \()\)


              A.\(c\leqslant 3 \)
              B.\(3 < c\leqslant 6 \)
              C.\(6 < c\leqslant 9 \)
              D.\(c > 9 \)
            • 6.

              垂直于直线\(4x+3y-7=0\),且与两坐标轴围成的三角形的面积为\(6\)的直线在\(x\)轴上的截距是

              A.\(3\)或\(-3\)
              B.\(2\)
              C.\(4\)或\(-4\)
              D.\(-2\)
            • 7.
              直线\(mx-y-m+2=0\)恒过定点\(A\),若直线\(l\)过点\(A\)且与\(2x+y-2=0\)平行,则直线\(l\)的方程为\((\)  \()\)
              A.\(2x+y-4=0\)
              B.\(2x+y+4=0\)
              C.\(x-2y+3=0\)
              D.\(x-2y-3=0\)
            • 8.
              经过圆\((x+1)^{2}+(y-1)^{2}=2\)的圆心\(C\),且与直线\(x+y=0\)垂直的直线方程是\((\)  \()\)
              A.\(x+y+1=0\)
              B.\(x+y-2=0\)
              C.\(x-y+2=0\)
              D.\(x-y-1=0\)
            • 9.

              如图所示,若程序框图输出的所有实数对\((\)\(x\)\(y\)\()\)所对应的点都在函数\(f\left( x \right)=ax+\dfrac{b}{x}+c\)的图象上,则实数\(a,b,c\)的值依次为(    )


              A.\(1\),\(2\),\(-2\)
              B.\(2\),\(-3\) ,\(2\)   
              C.\(\dfrac{5}{2},3,-\dfrac{9}{2}\)
              D.\(-1,\dfrac{3}{2},\dfrac{1}{2}\)
            • 10.
              过点\((1,0)\)且与直线\(x-y+2=0\)垂直的直线方程是\((\)  \()\)
              A.\(x-y+1=0\)
              B.\(x-y-1=0\)
              C.\(x+y+1=0\)
              D.\(x+y-1=0\)
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