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几何的函数表达式题在直角梯形ABCD中,∠A=∠D=90度,截取AE=BF=DG=X,已知AB=6,CD=3,AD=4,

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几何的函数表达式题
在直角梯形ABCD中,∠A=∠D=90度,截取AE=BF=DG=X,已知AB=6,CD=3,AD=4,求四边形CGEF的面积S关于X的函数表达式和X的取值范围.
图:EF有条线连着,因为实在找不到什么横线表示..
D x G C
┌———————————┐
│ / \ \
│ / \ \
│ / \ \
E│ / \ \
│ \ \
┗——————————————┚—┚
A F B
`D``x`` G ``````````````C
`┌——————┐
`│```/ `````````````````\ \
`│``/``````````````````` \ \
`│`/````````````````````` \ \
E│/``````````````````````` \ \
`│ `````````````````````````\` \
`┗—————————┚—┚
A`````````````````````````````F```B
S=18-2x-0.5x(6-x)-0.5x(4-x)