共50条信息
直线\(y=kx+3\)与圆\((x-3)^{2}+(y-2)^{2}=4\)相交于\(M\),\(N\)两点,若\(|MN|\geqslant 2\sqrt{3}\),则实数\(k\)的取值范围是\((\) \()\)
直线\(\ell \):\(kx+y+4=0(k∈R)\)是圆\(C\):\(x^{2}+y^{2}+4x-4y+6=0\)的一条对称轴,过点\(A(0,k)\)作斜率为\(1\)的直线\(m\),则直线\(m\)被圆\(C\)所截得的弦长为\((\) \()\)
直线\(y=x\)被圆\((x−1)^{2}+y^{2}=1\)所截得的弦长为 \((\) \()\)
直线\(y=x-1\)被圆\({{(x-3)}^{2}}+{{y}^{2}}=4\)截得的弦长为 .
.已知圆\(C\)\(:\)\(x\)\({\,\!}^{2}\)\(+\)\((\)\(y-\)\(1)^{2}\)\(=\)\(5\),直线\(l\)\(:\)\(mx-y+\)\(1\)\(-m=\)\(0\).
\((1)\)求证:对\(m\)\(∈R\),直线\(l\)与圆\(C\)总有两个不同的交点\(;\)
\((2)\)设直线\(l\)与圆\(C\)交于\(A\),\(B\)两点,若\(|AB|=\)\( \sqrt{17} \),求直线\(l\)的倾斜角.
已知\(⊙C:{x}^{2}+{y}^{2}=1 \),直线\(l:x+y-1=0 \),则\(l\)被\(⊙C \)所截得的弦长为( )
直线\(x-y-5=0\) 被圆\({{x}^{2}}+{{y}^{2}}-4x+4y+4=0\) 截得的弦长为 .
在极坐标系中,圆\(\rho =2\cos \theta \)被直线\(\rho \cos \theta =\dfrac{1}{2}\)所截得的弦长为 .
直线\(\begin{cases} & x=1+2t \\ & y=2+t \\ \end{cases}(\)\(t\)为参数\()\)被圆\(x\)\({\,\!}^{2}+\)\(y\)\({\,\!}^{2}=9\)截得的弦长等于 \((\) \()\)
直线\(x-y=0\)被圆\(x^{2}+y^{2}=1\)截得的弦长为\((\) \()\)
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