共50条信息
若曲线\(y={{x}^{2}}-1\)与\(y=1+{{x}^{3}}\)在点\(x={{x}_{0}}\)处的切线互相垂直,则\({x}_{0} \)等于
已知直线\(l_{1}\):\(A_{1}x+B_{1}y+C_{1}=0\),\(l_{2}\):\(A_{2}x+B_{2}y+C_{2}=0(A_{1},B_{1},C_{1},A_{2},B_{2},C_{2}\)为常数\()\),若直线\(l_{1}⊥l_{2}\),则\(A_{1}A_{2}+B_{1}B_{2}=0.(\) \()\)
过点\((1,0)\)且与直线\(x-2y-2=0\)垂直的直线方程是
在平面直角坐标系\(xOy\)中,\(\triangle ABC\)的顶点坐标分别为\(A(2,3)\),\(B(1,-3)\),\(C(-3,-1)\).
\((1)\)求\(BC\)边的中线所在直线的方程;
\((2)\)求\(BC\)边的高,并求这条高所在直线的方程.
已知函数\(y={\log }_{a}\left(x+1\right)-2\left(a > 0且a\neq 1\right) \)的图象恒过点\(P\),则经过点且与直线\(2x+y-1=0 \)垂直的直线方程为_______.
已知点\(A(1,2)\)、\(B(3,1)\),线段\(AB\)的垂直平分线的方程是\((\) \()\)
过点\(C\left(2,-1\right) \)且与直线\(x+y-3=0\)垂直的直线是\((\) \()\)
若直线\(l_{1}\):\(2x-ay-1=0\)过点\((1,1)\),\(l\):\(x+2y=0\),则直线\(l_{1}\)与\(l\)
点\((0,2)\)关于直线\(l\):\(x+y-1=0\)的对称点的坐标为 .
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