如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F.(1)探求∠F与∠B,∠D的数如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F. (1)探求∠F与∠B,∠D的数量关系. (2)当∠B:∠D:∠F=2:4:x
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![如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F.(1)探求∠F与∠B,∠D的数如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F. (1)探求∠F与∠B,∠D的数量关系. (2)当∠B:∠D:∠F=2:4:x](/uploads/image/z/11967707-11-7.jpg?t=%E5%A6%82%E5%9B%BE%2CBE%2CCD%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9A%2C%E2%88%A0DEA%2C%E2%88%A0BCA%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9F.%EF%BC%881%EF%BC%89%E6%8E%A2%E6%B1%82%E2%88%A0F%E4%B8%8E%E2%88%A0B%2C%E2%88%A0D%E7%9A%84%E6%95%B0%E5%A6%82%E5%9B%BE%2CBE%2CCD%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9A%2C%E2%88%A0DEA%2C%E2%88%A0BCA%E7%9A%84%E5%B9%B3%E5%88%86%E7%BA%BF%E7%9B%B8%E4%BA%A4%E4%BA%8E%E7%82%B9F.+%EF%BC%881%EF%BC%89%E6%8E%A2%E6%B1%82%E2%88%A0F%E4%B8%8E%E2%88%A0B%2C%E2%88%A0D%E7%9A%84%E6%95%B0%E9%87%8F%E5%85%B3%E7%B3%BB.+%EF%BC%882%EF%BC%89%E5%BD%93%E2%88%A0B%EF%BC%9A%E2%88%A0D%EF%BC%9A%E2%88%A0F%3D2%EF%BC%9A4%EF%BC%9Ax)
如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F.(1)探求∠F与∠B,∠D的数如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F. (1)探求∠F与∠B,∠D的数量关系. (2)当∠B:∠D:∠F=2:4:x
如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F.(1)探求∠F与∠B,∠D的数
如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F. (1)探求∠F与∠B,∠D的数量关系. (2)当∠B:∠D:∠F=2:4:x时,求x的值.
如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F.(1)探求∠F与∠B,∠D的数如图,BE,CD相交于点A,∠DEA,∠BCA的平分线相交于点F. (1)探求∠F与∠B,∠D的数量关系. (2)当∠B:∠D:∠F=2:4:x
(1)
连接EC,
∠B+∠C=∠D+∠E -------1式 (对顶角∠BAC和∠DAE相等)
∠B+1/2∠C=∠F+1/2∠E------2式(对顶角相等)
2式-1/2(1式):
1/2∠B=∠F-1/2∠D
即1/2∠B+1/2∠D=∠F.
(2)
当∠B:∠D:∠F=2:4:x时
∠B:∠D:∠F=2:4:(2+4)/2=2:4:3
所以X=3