When choosing the treble, pay attention to the impedance of the treble is the same as that of the subwoofer (full frequency), so as to ensure the reasonable power distribution between them.
Generally, the tweeter has no post-pronunciation, so the speaker is just an ornament. The size doesn't matter, you can set it without it. The best solution is to install it on the original full-range speaker.
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In order to get better results, we must design the frequency division point correctly and choose the appropriate frequency divider. The simplest method is to use 2.2~4.7UF electrodeless capacitor.
The effect of simple frequency divider is slightly inferior to that of specially designed inductance-capacitance frequency divider, but its advantage lies in its simplicity. And the satellite sound system used is not high-end. So a simple frequency division is enough.
Don't worry about the side effects of adding high notes, because power is not calculated like this. Add up the power of the subwoofer, because the input audio range of treble and subwoofer is different. For example, the power of a 60W amplifier can drive 60W bass and 60W treble. Each has its own way, each plays its own frequency band, which adds up to 60W. It will not become 120W, so don't worry about the adverse effects of the power amplifier.