[Игорь №111111111111111111]

А если так?

function KSearch(sGo)
{
var KWeb,KWebindex,Ktypeindex,gsearchForm,sURL;
KWeb=document.getElementById('KSWeb');
KWebindex=KWeb.selectedIndex;






gsearchtext=document.getElementById('searchText');


sImage=document.getElementById('sIMG');





switch (KWeb.value)
{
    case "Google":

    if(Ktypeindex){
      sURL="http://www.google.com/images?q=";
      }else{
      sURL="http://www.google.com/search?num=100&q=";      
      }
    
    sImage.src="css/fonts/google.png"
        break;
    
    case "Yandex":
    if(Ktypeindex){
      sURL="https://yandex.ru/images/search?clid=2295666&text=";
      }else{
      sURL="https://yandex.ru/search/?clid=2295666&text=";      
      }
    
        sImage.src="css/fonts/Yandex.png"

        break;

        
    case "Bing":
        if(Ktypeindex){
      sURL="http://www.bing.com/images/search?q=";
      }else{
      sURL="http://www.bing.com/search?q=";      
      }
    
        sImage.src="css/fonts/bing.png"

        break;

        
    case "Wikipedia":
      sURL="http://ru.wikipedia.org/w/index.php?title=Special%3ASearch&fulltext=Search&search=";      

        
        sImage.src="css/fonts/Wikipedia.png"

        break;
        
    case "youtube":
      sURL="http://www.youtube.com/results?search_query=";      

        
        sImage.src="css/fonts/youtube.png"

        break;

        
    case "duckduckgo":
      sURL="http://duckduckgo.com/?q=";
         
        
	sImage.src="css/fonts/DC.png"
        break;
        
    default:
      sURL="https://www.google.com/search?btnI=1&q=";   
        
	sImage.src="css/fonts/google.png"

}



if (sGo)
{
sURL=sURL+gsearchtext.value;

//alert(sURL)

window.location=sURL;



}


}
			$( function() {
				
				$( '#KSWeb' ).dropdown( {
					gutter : 5,
					stack : false,
					slidingIn : 100
				} );

			});