rook make mate

hi, l am Jason.l am going to tell you if black don`t have many pieces,and you have two rook. what can you do?

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Let us see a situation

Now is white to move.So...... What can we do for white?
Like this?

hmm...It is totally wrong because the king can capture.
But what will happened if you doing like this:

Ok, you will lose the best time to cheakmate the king.
The best move is like this:

The king must go up, and it can`t capture the rook now.
That is a cheakmate!

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