if double strike creatures kills blocking creature during 1st strike,does dmg go thru

[mtgnewbie]

in a magic the gathering combat If a double striker kills the blocker during the first phase of the double strike, does damage from the second strike go through to the player?

[Arix]

No. Once an attacking creature has become blocked, it remains blocked all throughout combat - even if the blocker dies, it won't deal any damage to your opponent (unless it has trample).