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如图,四边形\(ABCD\)与四边形\({{A}_{1}}{{B}_{1}}{{C}_{1}}{{D}_{1}}\)是以\(O\)为位似中心的位似图形,满足\(O{{A}_{1}}{=}{{A}_{1}}A\),\(E\),\(F\),\({{E}_{1}}\),\({{F}_{1}}\)分别是\(AD\),\(BC\),\({{A}_{1}}{{D}_{1}}\),\({{B}_{1}}{{C}_{1}}\)的中点,则\(\dfrac{{{E}_{1}}{{F}_{1}}}{EF}{=}\)_________.
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