i Have created this script, but i dont know why the second select box is not showing...

Maybe my ASP is wrong??

look:

HERE is the demo page

this is the script:

<script type="text/javascript" src="jquery-1.7.1.min.js"></script>

<%
    strConnection ="Provider=Microsoft.Jet.OLEDB.4.0;Data Source="& Server.MapPath("database/banco.mdb") &";"
    set objConn = Server.CreateObject("ADODB.Connection")
    objConn.open strConnection

    set rs_lojas = Server.Createobject("ADODB.RecordSet")
    rs_lojas.Open "select * FROM ondeencontrar WHERE estado = '"& request("estado")&"'", objConn

    If estado = "" Then
        estado = trim(Request("estado"))
        session("estado") = true
    End if

    If cidade = "" Then
        modelo = trim(Request("cidade"))
        session("cidade") = true
    End if
%>

<%  set rs_estado = Server.Createobject("ADODB.RecordSet")
    rs_estado.Open "SELECT distinct estado FROM ondeencontrar", objConn
%>

<script>
$("#first-choice").change(function() {
    $("#second-choice").load("estados.asp?estado=" + $("#first-choice").val());
    $("#second-choice").show("slow");   
});
$("#second-choice").change(function() {
    alter("TESTE");
});
</script>


<select id="first-choice">
    <option selected value="">Escolha um Estado</option>
    <%do while not rs_estado.eof%>
    <option value="<%=rs_estado("estado")%>"><%=rs_estado("estado")%></option>
    <%  rs_estado.MoveNext
    if rs_estado.EOF then Exit do %>
    <% Loop %>
</select>

<br /> <br />
<% 
If not trim(Request("estado")) = "" then
set rs_cidade = Server.Createobject("ADODB.RecordSet")
rs_cidade.Open "SELECT distinct cidade, estado  FROM ondeencontrar where estado = '"&estado&"'", objConn
%>
<select id="second-choice" style="display: none;">
    <option selected="<%=cidade%>"><%=cidade%></option>
    <% do while not rs_cidade.eof %>
    <option value="ondeencontrar.asp?estado=<%=request("estado")%>&cidade=<%=rs_cidade("cidade")%>"><%=rs_cidade("cidade")%></option>
<%
        rs_cidade.MoveNext
        if rs_cidade.EOF then Exit do
    %>
    <% Loop %>  
</select>
<%End If%>

• jquery
• asp-classic

Your jQuery selectors needs to be inside document.ready or be moved way below in the end before the body tag ends. You're selecting elements that hasn't been rendered yet.

Like so:

$(function(){
    $("#first-choice").change(function() {
        $("#second-choice").load("estados.asp?estado=" + $("#first-choice").val());
        $("#second-choice").show("slow");   
    });
    $("#second-choice").change(function() {
        alter("TESTE");
    });
});

This URL (http://fakedc.com/sites/luilui/teste.asp) also needs to return a JSON or XML object so it can be loaded into the second select item. It currently doesn't.

This line also wouldn't work since you're performing an AJAX request.

If not trim(Request("estado")) = "" then

The 2nd select element depends on the 1st select element's option selection so I'd would move the 2nd query into an AJAX call and populate the 2nd select.

The second select is not even rendered in the page because it doesn't pass the If not trim(Request("estado")) = "" then conditional.

From Firebug:

"NetworkError: 404 Not Found - http://fakedc.com/sites/luilui/jquery-1.7.1.min.js"

Also:

$ is not defined

You might want to check the source path for your jQuery include.