职教组卷基于海量职教高考试题库建立的在线组卷及学习系统
职教组卷
  • 题型:选择题 题类:月考试卷 难易度:中档

    已知点\(P\)在以\(F _{1}\),\(F _{2}\)为左,右焦点的椭圆\(C\):\( \dfrac {x^{2}}{2b^{2}}+ \dfrac {y^{2}}{b^{2}}=1(b > 0)\)上,在\(\triangle PF _{1} F _{2}\)中,若\(∠PF _{1} F _{2} =α\),\(∠PF _{2} F _{1} =β\),则\( \dfrac {\sin (α+β)}{\sin \alpha +\sin \beta } = (\:\:\:\:)\)
    A. \( \dfrac {1}{2}\) B. \( \dfrac { \sqrt {2}}{2}\) C. \( \dfrac { \sqrt {3}}{2}\) D. \( \sqrt {2}\)
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