如图,三角形abc中,AD是∠BAC的平分线,E,F分别是AB,AC上的点,且∠AED+∠AFD=180° 求证DE=DF(1)求证:DE=DF(2)若把条件∠AED+∠AFD=180°换成“DE=DF”,问,∠AED+∠AFD=180°吗,请说明理由.
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![如图,三角形abc中,AD是∠BAC的平分线,E,F分别是AB,AC上的点,且∠AED+∠AFD=180° 求证DE=DF(1)求证:DE=DF(2)若把条件∠AED+∠AFD=180°换成“DE=DF”,问,∠AED+∠AFD=180°吗,请说明理由.](/uploads/image/z/1604066-50-6.jpg?t=%E5%A6%82%E5%9B%BE%2C%E4%B8%89%E8%A7%92%E5%BD%A2abc%E4%B8%AD%2CAD%E6%98%AF%E2%88%A0BAC%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BF%2CE%2CF%E5%88%86%E5%88%AB%E6%98%AFAB%2CAC%E4%B8%8A%E7%9A%84%E7%82%B9%2C%E4%B8%94%E2%88%A0AED%2B%E2%88%A0AFD%3D180%C2%B0+%E6%B1%82%E8%AF%81DE%3DDF%EF%BC%881%EF%BC%89%E6%B1%82%E8%AF%81%EF%BC%9ADE%3DDF%EF%BC%882%EF%BC%89%E8%8B%A5%E6%8A%8A%E6%9D%A1%E4%BB%B6%E2%88%A0AED%2B%E2%88%A0AFD%3D180%C2%B0%E6%8D%A2%E6%88%90%E2%80%9CDE%3DDF%E2%80%9D%2C%E9%97%AE%2C%E2%88%A0AED%2B%E2%88%A0AFD%3D180%C2%B0%E5%90%97%2C%E8%AF%B7%E8%AF%B4%E6%98%8E%E7%90%86%E7%94%B1.)
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