in etwa so?
<html>
<head>
<script type="text/javascript">
function neuesFeld()
{
if(document.getElementById("field").selected == true)
{
document.getElementById("schreiben").style.visibility = "visible";
}
}
</script>
</head>
<body>
<form name="Formular">
<select name="drop" onChange="javascript:neuesFeld();">
<option ID="hello">Hallo</option>
<option ID="goodbad">Gehts dir gut?</option>
<option ID="field">neues Feld erscheint</option>
</select>
<input type="button" value="Go!">
</form>
<form name="Form">
<input type="text" style="visibility:hidden" ID="schreiben" value="Hier Schreiben">
</form>
</body>
</html>