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How to do the tenth math problem of 20 10 Zhoushan senior high school entrance examination?
After point D, DE⊥AC is in E, obviously, △ ABC and △ADE are congruent, so

AE=BC ED=AC

AC = 4BC

∴CE=AC-AE=3BC

ED = AC = 4BC

∴CD=5BC=x BC =x/5.

y=(bc*ac+ac*ed)/2= 10bc*bc=0.4x^2

That is y·=0.4x^2.

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