Given the base of pyramid $$ P-ABCD $$ is a square, $$ PA⊥ $$ Base $$ ABCD $$ , $$ ∠PDA=45° $$ . $$ E $$ , $$ F $$ are the midpoints of edge $$ AB $$ and $$ PD, $$ respectively. Prove
(1) $$ AF∥ $$ Plane $$ PCE $$
(2) Plane $$ PCE⊥ $$ Plane $$ PCD $$

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Given the base of pyramid  $$ P-ABCD $$ is a square, $$ PA⊥ $$ Base $$ ABCD $$ ,  $$ ∠PDA=45° $$ . $$ E $$ , $$ F $$ are the midpoints of edge $$ AB $$ and $$ PD, $$ respectively. Prove
(1) $$ AF∥ $$ Plane $$ PCE $$
(2) Plane $$ PCE⊥ $$ Plane $$ PCD $$

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