矩形ABCD中|AB|=8 |BC|=6 E,F,G,H分别是矩形四条边的中点 R,S,T是线段OF的四等分点 R',S',T'是线段CF的四等分点 请证明直线ER与GR',ES与GS',ET与GT‘的交点L,M,N都在椭圆x^2/16+y^2/9=1上 .P.S.:
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![矩形ABCD中|AB|=8 |BC|=6 E,F,G,H分别是矩形四条边的中点 R,S,T是线段OF的四等分点 R',S',T'是线段CF的四等分点 请证明直线ER与GR',ES与GS',ET与GT‘的交点L,M,N都在椭圆x^2/16+y^2/9=1上 .P.S.:](/uploads/image/z/11526417-9-7.jpg?t=%E7%9F%A9%E5%BD%A2ABCD%E4%B8%AD%7CAB%7C%3D8+%7CBC%7C%3D6+E%2CF%2CG%2CH%E5%88%86%E5%88%AB%E6%98%AF%E7%9F%A9%E5%BD%A2%E5%9B%9B%E6%9D%A1%E8%BE%B9%E7%9A%84%E4%B8%AD%E7%82%B9+R%2CS%2CT%E6%98%AF%E7%BA%BF%E6%AE%B5OF%E7%9A%84%E5%9B%9B%E7%AD%89%E5%88%86%E7%82%B9+R%26%2339%3B%2CS%26%2339%3B%2CT%26%2339%3B%E6%98%AF%E7%BA%BF%E6%AE%B5CF%E7%9A%84%E5%9B%9B%E7%AD%89%E5%88%86%E7%82%B9+%E8%AF%B7%E8%AF%81%E6%98%8E%E7%9B%B4%E7%BA%BFER%E4%B8%8EGR%26%2339%3B%2CES%E4%B8%8EGS%26%2339%3B%2CET%E4%B8%8EGT%E2%80%98%E7%9A%84%E4%BA%A4%E7%82%B9L%2CM%2CN%E9%83%BD%E5%9C%A8%E6%A4%AD%E5%9C%86x%5E2%2F16%2By%5E2%2F9%3D1%E4%B8%8A+.P.S.%3A)
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