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如图 , 正方形 ABCD,E 为 BD 上一点 ,AE 的延长线交 DC 于 H, 交 BC 的延长线于 F,GC 垂直于 CE, 求证 :GH=GF.

D. A. 如图 , 正方形 ABCD,E 为 BD 上一点 ,AE 的延长线交 DC 于 H, 交 BC 的延长线于 F,GC 垂直于 CE, 求证 :GH=GF. E. H. G. B. F. C. 如图 , 在 三角形 ABC 中 , 角 ACB=90 度 ,BC 的垂直平分线 DE 交 BC 于点 D, 交 AB 于点 E, 点 F 在 DE 上 , 并且 EF=AC, (1) 试说明 : 四边形 ACEF 是平行四边形 . (2) 当 角 B 的大小满足什么条件 , 四边形 ACEF 是菱形并证明结论 .

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如图 , 正方形 ABCD,E 为 BD 上一点 ,AE 的延长线交 DC 于 H, 交 BC 的延长线于 F,GC 垂直于 CE, 求证 :GH=GF.

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  1. D A 如图,正方形ABCD,E为BD上一点,AE的延长线交DC于H,交BC的延长线于F,GC垂直于CE,求证:GH=GF. E H G B F C

  2. 如图,在三角形ABC中,角ACB=90度,BC的垂直平分线DE交BC于点D,交AB于点E,点F在DE上,并且EF=AC,如图,在三角形ABC中,角ACB=90度,BC的垂直平分线DE交BC于点D,交AB于点E,点F在DE上,并且EF=AC, (1)试说明:四边形ACEF是平行四边形. (2)当角B的大小满足什么条件,四边形ACEF是菱形并证明结论. (3)四边形ACEF有可能是正方形?为什么? B E F D C A

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