$解:? (1)?假設(shè)拋物線相應(yīng)的二次函數(shù)表達(dá)式為?y= ax2+ b?$
$由題設(shè)可知:點(diǎn)?C?的坐標(biāo)為?(0,??1),?點(diǎn)?F ?的坐標(biāo)為?(-4,??2)?$
$代入可得?a =\frac {1}{16},??b= 1?$
$∴拋物線相應(yīng)的二次函數(shù)表達(dá)式為?y=\frac {1}{16} x2+ 1?$
$?(2)?當(dāng)?x=-8?時(shí),?y=5?$
$∴?AD= 5m?$
$答:柱子?AD?的高度為?5?米。$