求解一道数学题,各位大侠帮帮忙

2025-03-23 06:04:34
推荐回答(5个)
回答1:

因为D是边BC的中点
所以三角形ABD和三角形ACD的面积相等(因为它们的底相等,又是同一条高)
即SΔACD=1/2平方分米
同理E是AD的中点,SΔAEC=SΔDEC=﹙1/2﹚×﹙1/2﹚=1/4平方分米
所以△aec的面积是1/4平方分米

学习愉快哦,不懂可以再问O(∩_∩)O~

回答2:

△abc的面积=△ADC+△ABD,因为两个小三角形的面积由A作高到BC边,BD=DC,同底等高二者面积相等,所以△ADC=0.5平方米
同理,△ADC=△AEC+DEC,仍是同底等高,所△aec的面积为0.25平方米

回答3:

首先d、e分别是bc、ad的中点
得AD为△ABC的中线,CE为△ADC的中线
所以S△ABC=2S△ADC
S△ADC=2S△AEC
即S△AEC=0.25分米
(由于分数形式打出来不好打,所以列式和答案都没用分数,请你按实际要求修改答案和过程)
(S表示面积不用解释了不)

回答4:

四分之一
△ADC=1/2△ABC(高相等,底小了一半)
△AEC=1/2△ADC(同理)
所以△AEC=1/4 △ABC=1/4

回答5:

1/4

三角形ADC的面积=1/2*三角形ABC的面积=1/2
三角形AEC的面积=1/2*三角形ADC的面积=1/2*1/2=1/4
(利用等高三角形面积比等于底边比原理)

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