题型:选择题 题类:模拟题 难易度:难
测年份:2018
已知抛物线\(C:{{y}^{2}}=2px(p > 0)\)的焦点为\(F\),点\(M\left( {{x}_{0}},2\sqrt{2} \right)({{x}_{0}} > \dfrac{p}{2})\)是抛物线\(C\)上一点,圆\(M\)与线段\(MF\)相交于点\(A\),且被直线\(x=\dfrac{p}{2}\)截得的弦长为\(\sqrt{3}\left| MA \right|.\)若\(\dfrac{\left| MA \right|}{\left| AF \right|}=2\),则\(\left| AF \right|\)等于( )
题型:选择题 题类:模拟题 难易度:难
测年份:2018
如图,平面四边形\(ABCD\)中,\(AC\)与\(BD\)交于点\(P\),若\(3\overrightarrow{AP}+\overrightarrow{BD}=3\overrightarrow{BC}\),\(AB=AD=\sqrt{3}BC\),\(\angle CAD+\angle ACB=\dfrac{5}{6}\pi \),则\(\dfrac{CD}{AB}=(\) \()\)