1. Let $A$ be a set of three distinct real numbers, and let the set $B=\{x+y \mid x 、 y \in A, x \neq y\}$. If
$$
B=\left\{\log _{2} 6, \log _{2} 10, \log _{2} 15\right\} \text {, }
$$

then the set $A=$ $\qquad$
1. $\left\{1, \log _{2} 3, \log _{2} 5\right\}$.
Let $A=\left\{\log _{2} a, \log _{2} b, \log _{2} c\right\}$, where,
$$
0<a<b<c \text {. }
$$

Then $a b=6, a c=10, b c=15$.
Solving, we get $a=2, b=3, c=5$.
Thus, $A=\left\{1, \log _{2} 3, \log _{2} 5\right\}$.