Led strips power supply , consumation and contorller
The resistors are for balancing the current in each leg of the chain, the LEDs you can see are grouped in 3s in each segment (between the connection pads. This diagram seems to match exactly, found here 



The resistor values are sized to even up the perceived brightness of the three channels at a supply of 12V, plus allow for the different forward voltage drops of the different LEDs. They give an indication of the current draw, I guess about 60mA per segment ( here's a datasheet for a common RGB LED) so multiply that by the number of segments you have to gen an idea of the current you need.