I
noun
BAD : As yet, nobody has found a cure to AIDS or cancer.
GOOD : As yet, nobody has found a cure for AIDS or cancer.
BAD : The best cure of a cold is a good night's sleep.
GOOD : The best cure for a cold is a good night's sleep.
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a cure for a disease: 'Is there a cure for tuberculosis?'
II
verb
1
BAD : The wound took several weeks to cure.
GOOD : The wound took several weeks to heal.
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Cuts, wounds, injuries, etc heal : 'Cuts generally take longer to heal in humid climates.'
2
BAD : I was the doctor who cured your head injury.
GOOD : I was the doctor who treated your head injury.
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Doctors and nurses treat an injury, disease, sick person, etc: 'Serious burns must be treated as soon as possible.' 'The usual way of treating malaria is to give the patient large doses of quinine.' 'Some hospitals refuse to treat people who don't have medical insurance.'
3
BAD : Those who are seriously ill take a long time to cure.
GOOD : Those who are seriously ill take a long time to recover.
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When people who have been ill or injured return to their normal state of health, they recover or get better : 'Some of the flood victims are still recovering in hospital.' 'It takes a long time to recover from glandular fever.' 'Within a month of the heart attack, he had fully recovered.'