1. If $a, b$ are real numbers, then which of the following statements is correct? ( ).
(A) $a>b \Rightarrow a^{2}>b^{2}$
(B) $a \neq b \Rightarrow a^{2} \neq b^{2}$
(C) $|a|>b \Rightarrow a^{2}>b^{2}$
(D) $a>|b| \Rightarrow a^{2}>b^{2}$
- 1.D.

When $a=-1, b=-2$, options (A) and (C) are incorrect; when $a=-1, b=1$, option (B) is incorrect.