welcome to ActoGuitar! Your English is fine -- it is very clear.
you are correct: in order to play this tablature
Quote:
E-------
B-------
G-------
D-3-----
A-3-----
E-1-----
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You play the 4, 5, and 6 strings.
In the following example you gave
Quote:
E-------
B-------
G-4------
D-------
A-3-----
E-1-----
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You play the 6, 5, and 3 strings (NOT the 4th string -- that is skipped). That type of chord is usually played using
fingerpicking, which allows you to play a chord that involves skipping strings.
Quote:
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I also want to ask if there is a technique or something how to pick the notes so that you can play it clear and fast
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The most important thing is that it just takes a lot of practice. But, you do want to be sure that you are using the right techniques, like
alternate picking.
Quote:
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would you advice me to get a guitar teacher or is it also possible to learn it this way?
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Nothing compares to finding a *good* teacher (important word there is
good 
). But if you are having trouble finding a good teacher in your area or cannot afford one, learning online is definitely possible; many people have done it. Perhaps the best is to use both a teacher and online web sites like ActoGuitar.
Hope this helps!
