正方形ABCD中,E在边AB上,DF⊥DE交BC的延长线与F,直线EF,AC交于H,连DH ①求证:△DEF为等腰直角三角形 ②求证:DH⊥EF ③求证:AH-CH=根号2CF ④直接写出BC,CF,AH之间的数量关系式图在此 不看辅助线
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![正方形ABCD中,E在边AB上,DF⊥DE交BC的延长线与F,直线EF,AC交于H,连DH ①求证:△DEF为等腰直角三角形 ②求证:DH⊥EF ③求证:AH-CH=根号2CF ④直接写出BC,CF,AH之间的数量关系式图在此 不看辅助线](/uploads/image/z/9958364-44-4.jpg?t=%E6%AD%A3%E6%96%B9%E5%BD%A2ABCD%E4%B8%AD%2CE%E5%9C%A8%E8%BE%B9AB%E4%B8%8A%2CDF%E2%8A%A5DE%E4%BA%A4BC%E7%9A%84%E5%BB%B6%E9%95%BF%E7%BA%BF%E4%B8%8EF%2C%E7%9B%B4%E7%BA%BFEF%2CAC%E4%BA%A4%E4%BA%8EH%2C%E8%BF%9EDH+%E2%91%A0%E6%B1%82%E8%AF%81%EF%BC%9A%E2%96%B3DEF%E4%B8%BA%E7%AD%89%E8%85%B0%E7%9B%B4%E8%A7%92%E4%B8%89%E8%A7%92%E5%BD%A2+%E2%91%A1%E6%B1%82%E8%AF%81%EF%BC%9ADH%E2%8A%A5EF+%E2%91%A2%E6%B1%82%E8%AF%81%EF%BC%9AAH-CH%3D%E6%A0%B9%E5%8F%B72CF+%E2%91%A3%E7%9B%B4%E6%8E%A5%E5%86%99%E5%87%BABC%2CCF%2CAH%E4%B9%8B%E9%97%B4%E7%9A%84%E6%95%B0%E9%87%8F%E5%85%B3%E7%B3%BB%E5%BC%8F%E5%9B%BE%E5%9C%A8%E6%AD%A4++%E4%B8%8D%E7%9C%8B%E8%BE%85%E5%8A%A9%E7%BA%BF)
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