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证明:在$\triangle ABC$中,$\angle ABC=90°$,$\angle C=30°$,
$\therefore CA=2AB$,$\angle A=60°$.
$\because BD\perp AC$,
$\therefore \angle ADB=90°$,
$\therefore \angle ABD=30°$,
$\therefore AB=2DA$,
$\therefore CA=4DA$.