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#2e960c96-2745-410c-8088-bba908e16300简单填空题抛物线直线与圆+圆锥曲线

2.已知抛物线C:y2=3xC:y^{2}=3x,斜率为32\frac{3}{2}的直线llCC的交点为EEFF,与xx轴的交点为HH.若EH=kHF(k>1)\overrightarrow{EH}=k\overrightarrow{HF}(k>1)EF=4133\vert EF\vert =\frac{4\sqrt{13}}{3},则k=(k=(  ))