How do I make a <SELECT> menu open?

Is it possible to make a <SELECT> pulldown menu open using javascript? For example, if I have:

<SELECT id=mymenu1 onchange=”MenuChange()”>
<OPTION value=”1″>Option 1</OPTION>
<OPTION value=”2″>Option 2</OPTION>
<OPTION value=”3″>Option 3</OPTION>
</SELECT>

<SELECT id=mymenu2 >
<OPTION value=”A”>Option A</OPTION>
<OPTION value=”B”>Option B</OPTION>
<OPTION value=”C”>Option C</OPTION>
</SELECT>

As soon as I select something from mymenu1, I want the javascript function MenuChange() to open up mymenu2 as if somebody clicked on the pulldown arrow. I can give mymenu2 focus (document.getElementById(“mymenu2”).focus() ) but that just highlights the first option without actually opening the pulldown. Any ideas?

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