Does the increase of resistance in one branch of parallel circuit affect the consumers on the other

Does the increase of resistance in one branch of parallel circuit affect the consumers on the other

No,

In parallel circuit, if one branch resistance becomes larger, will the current of the other branch through the resistance change? Why?

Parallel circuits do not affect each other,
If one branch changes, the other branch will not be affected. As long as the resistance of the other branch remains unchanged, the current will remain unchanged! (parallel voltage remains unchanged, I = u / R, so the current remains unchanged)

Why is the total resistance of a parallel circuit less than that of any one of them and changes with the change of the partial resistance

First, from the formula:
1/R=1/R1+1/R2
So r = r1r2 / (R1 + R2) = R2 / (1 + R2 / R1) < R2
Similarly, r = r1r2 / (R1 + R2) = R1 / (R1 / r2 + 1) < R1
Second, the resistance parallel connection is equivalent to increasing the cross-sectional area of the resistance. According to the resistance law (r = ρ L / s), the resistance becomes smaller

The original parallel circuit is connected in parallel with another resistor, and the total resistance changes

Assuming that the resistance value of the original parallel circuit is R1 and that of a parallel resistance is R2, then the resistance value is r = R1 * R2 / (R1 + R2), and the resistance value becomes smaller