As shown in figure 1,point C is on the segment BG and quadri

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As shown in figure 1,point C is on the segment BG and quadrilateral ABCD is a square.
As shown in figure 1,point C is on the segment BG and quadrilateral ABCD is a square.AG intersects BD and CD at points E and F,respectively.If AE=5 and EF=3,then FG=( )
如图1所示,C点在线段BG上,四边形ABCD是一个正方形.AG分别与BD相交于E点,与CD相交于F点.如果AE=5 EF=3,那么 FG=(
图片可能不清楚,

FG=16/3
设正方形边长为a,CG长度为b,FG长度为x
a/(a+b)=5/(3+x)
b/a=x/8
解得x=16/3
就是运用相似三角形的知识,ADF相似于CFG,ADE相似于BEG,虽然有三个未知数,但是会自然消掉一个.

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