题型:填空题 题类:期中考试 难易度:较易
新年份:2021
已知\({{F}_{1}}\)、\({{F}_{2}}\)是椭圆\(C\):\(\dfrac{{{x}^{2}}}{{{a}^{2}}}+\dfrac{{{y}^{2}}}{{{b}^{2}}}=1(a>b>0)\)的两个焦点,\(P\)为椭圆\(C\)上一点,且\(\overrightarrow{P{F}_{1}}{\rm⊥}\overrightarrow{P{F}_{2}}.\)若\(\vartriangle P{{F}_{1}}{{F}_{2}}\)的面积为\(9\),则\(b=\)__________.